Numeric.SpecFunctions:incompleteGamma from math-functions-0.1.5.2, B

Time bar (total: 7.5s)

start0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated

analyze46.0ms (0.6%)

Memory
-10.2MiB live, 24.9MiB 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
50%50%50%0.1%0%0%0%2
50%50%50%0.1%0%0%0%3
66.7%50%25%0.1%0%25%0%4
66.7%50%25%0.1%0%25%0%5
80%50%12.5%0.1%0%37.5%0%6
80%50%12.5%0.1%0%37.5%0%7
88.9%50%6.2%0.1%0%43.7%0%8
88.9%50%6.2%0.1%0%43.7%0%9
94.1%50%3.1%0.1%0%46.8%0%10
94.1%50%3.1%0.1%0%46.8%0%11
97%50%1.6%0.1%0%48.4%0%12
Compiler

Compiled 16 to 14 computations (12.5% saved)

sample1.2s (16.7%)

Memory
-7.1MiB live, 1 713.2MiB allocated
Samples
818.0ms8 256×0valid
42.0ms247×0invalid
Precisions
Click to see histograms. Total time spent on operations: 632.0ms
ival-mult: 260.0ms (41.1% of total)
ival-sqrt: 162.0ms (25.6% of total)
ival-div: 92.0ms (14.6% of total)
ival-sub: 51.0ms (8.1% of total)
ival-add: 45.0ms (7.1% of total)
exact: 12.0ms (1.9% of total)
ival-true: 7.0ms (1.1% of total)
ival-assert: 4.0ms (0.6% of total)
Bogosity

explain158.0ms (2.1%)

Memory
51.1MiB live, 274.0MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64)))
00-0-(*.f64 #s(literal 3 binary64) (sqrt.f64 x))
00-0-(sqrt.f64 x)
00-0-(/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))
00-0-#s(literal 3 binary64)
00-0-#s(literal 1 binary64)
00-0-(-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))
00-0-#s(literal 9 binary64)
00-0-(+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64))))
00-0-(*.f64 x #s(literal 9 binary64))
00-0-y
00-0-x
Confusion
Predicted +Predicted -
+00
-0256
Precision
0/0
Recall
0/0
Confusion?
Predicted +Predicted MaybePredicted -
+000
-00256
Precision?
0/0
Recall?
0/0
Freqs
test
numberfreq
0256
Total Confusion?
Predicted +Predicted MaybePredicted -
+000
-001
Precision?
0/0
Recall?
0/0
Samples
45.0ms512×0valid
Compiler

Compiled 214 to 88 computations (58.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 26.0ms
ival-mult: 9.0ms (34.1% of total)
ival-sqrt: 7.0ms (26.5% of total)
ival-div: 4.0ms (15.2% of total)
ival-sub: 3.0ms (11.4% of total)
ival-add: 3.0ms (11.4% of total)
exact: 1.0ms (3.8% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess266.0ms (3.6%)

Memory
7.0MiB live, 158.5MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03078
18464
230462
3127262
4359262
5584362
6755962
01214
01914
13412
27512
318612
432412
542512
684112
7170712
8262712
9335812
10354312
11357312
12357412
13357412
14377612
15402112
16449112
17449112
18449112
0449111
Stop Event
iter limit
saturated
iter limit
node limit
Calls
Call 1
Inputs
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64)))
Outputs
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64)))
(*.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 x))
Compiler

Compiled 14 to 12 computations (14.3% saved)

eval0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Compiler

Compiled 0 to 2 computations (-∞% saved)

prune1.0ms (0%)

Memory
1.0MiB live, 1.0MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.5%
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64)))
Compiler

Compiled 14 to 12 computations (14.3% saved)

simplify207.0ms (2.8%)

Memory
-3.9MiB live, 118.5MiB allocated
Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff0
(sqrt.f64 x)
cost-diff0
(*.f64 #s(literal 3 binary64) (sqrt.f64 x))
cost-diff128
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64)))
cost-diff320
(/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01249
01949
13441
27541
318641
432441
542541
684141
7170741
8262741
9335841
10354341
11357341
12357441
13357441
14377641
15402141
16449141
17449141
18449141
0449140
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64)))
(*.f64 #s(literal 3 binary64) (sqrt.f64 x))
#s(literal 3 binary64)
(sqrt.f64 x)
x
(-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))
(+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64))))
y
(/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))
#s(literal 1 binary64)
(*.f64 x #s(literal 9 binary64))
#s(literal 9 binary64)
Outputs
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64)))
(*.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 x))
(*.f64 #s(literal 3 binary64) (sqrt.f64 x))
(*.f64 (sqrt.f64 x) #s(literal 3 binary64))
#s(literal 3 binary64)
(sqrt.f64 x)
x
(-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))
(-.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal 1 binary64))
(+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64))))
(+.f64 (/.f64 #s(literal 1/9 binary64) x) y)
y
(/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))
(/.f64 #s(literal 1/9 binary64) x)
#s(literal 1 binary64)
(*.f64 x #s(literal 9 binary64))
(*.f64 #s(literal 9 binary64) x)
#s(literal 9 binary64)

localize94.0ms (1.3%)

Memory
-24.6MiB live, 48.7MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0.00390625
(-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))
accuracy0.205410009768442
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64)))
accuracy0.26953125
(/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))
accuracy0.33203125
(*.f64 #s(literal 3 binary64) (sqrt.f64 x))
Samples
20.0ms256×0valid
Compiler

Compiled 100 to 26 computations (74% saved)

Precisions
Click to see histograms. Total time spent on operations: 11.0ms
ival-mult: 5.0ms (43.6% of total)
ival-div: 2.0ms (17.4% of total)
ival-sqrt: 2.0ms (17.4% of total)
ival-sub: 1.0ms (8.7% of total)
ival-add: 1.0ms (8.7% 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
24.7MiB live, 24.7MiB allocated
Counts
5 → 84
Calls
Call 1
Inputs
#s(alt (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64))) (patch (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64))) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) (patch (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (patch (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) #<representation binary64>) () ())
#s(alt (sqrt.f64 x) (patch (sqrt.f64 x) #<representation binary64>) () ())
#s(alt (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64)) (patch (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64)) #<representation binary64>) () ())
Outputs
#s(alt (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1))) (taylor 0 y) (#s(alt (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) (patch (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1)))) (taylor 0 y) (#s(alt (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) (patch (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1)))) (taylor 0 y) (#s(alt (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) (patch (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1)))) (taylor 0 y) (#s(alt (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) (patch (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (* 1/9 (/ 1 x)) 1) (taylor 0 y) (#s(alt (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64)) (patch (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (+ y (* 1/9 (/ 1 x))) 1) (taylor 0 y) (#s(alt (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64)) (patch (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (+ y (* 1/9 (/ 1 x))) 1) (taylor 0 y) (#s(alt (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64)) (patch (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (+ y (* 1/9 (/ 1 x))) 1) (taylor 0 y) (#s(alt (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64)) (patch (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 3 (* (sqrt x) y)) (taylor inf y) (#s(alt (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) (patch (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))) (taylor inf y) (#s(alt (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) (patch (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))) (taylor inf y) (#s(alt (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) (patch (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))) (taylor inf y) (#s(alt (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) (patch (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt y (taylor inf y) (#s(alt (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64)) (patch (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* y (- (+ 1 (/ 1/9 (* x y))) (/ 1 y))) (taylor inf y) (#s(alt (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64)) (patch (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* y (- (+ 1 (/ 1/9 (* x y))) (/ 1 y))) (taylor inf y) (#s(alt (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64)) (patch (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* y (- (+ 1 (/ 1/9 (* x y))) (/ 1 y))) (taylor inf y) (#s(alt (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64)) (patch (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 3 (* (sqrt x) y)) (taylor -inf y) (#s(alt (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) (patch (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))) (taylor -inf y) (#s(alt (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) (patch (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))) (taylor -inf y) (#s(alt (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) (patch (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))) (taylor -inf y) (#s(alt (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) (patch (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt y (taylor -inf y) (#s(alt (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64)) (patch (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (- (* -1 (/ (- (* 1/9 (/ 1 x)) 1) y)) 1))) (taylor -inf y) (#s(alt (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64)) (patch (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (- (* -1 (/ (- (* 1/9 (/ 1 x)) 1) y)) 1))) (taylor -inf y) (#s(alt (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64)) (patch (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (- (* -1 (/ (- (* 1/9 (/ 1 x)) 1) y)) 1))) (taylor -inf y) (#s(alt (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64)) (patch (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ 1/9 x) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64))) (patch (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ 1/9 x) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64))) (patch (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ 1/9 x) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64))) (patch (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ 1/9 x) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64))) (patch (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (sqrt (/ 1 x))) (taylor 0 x) (#s(alt (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) (patch (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
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#s(alt (sqrt x) (taylor 0 x) (#s(alt (sqrt.f64 x) (patch (sqrt.f64 x) #<representation binary64>) () ())) ())
#s(alt (sqrt x) (taylor 0 x) (#s(alt (sqrt.f64 x) (patch (sqrt.f64 x) #<representation binary64>) () ())) ())
#s(alt (sqrt x) (taylor 0 x) (#s(alt (sqrt.f64 x) (patch (sqrt.f64 x) #<representation binary64>) () ())) ())
#s(alt (sqrt x) (taylor 0 x) (#s(alt (sqrt.f64 x) (patch (sqrt.f64 x) #<representation binary64>) () ())) ())
#s(alt (/ 1/9 x) (taylor 0 x) (#s(alt (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64)) (patch (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
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#s(alt (/ (+ 1/9 (* x (- y 1))) x) (taylor 0 x) (#s(alt (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64)) (patch (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1/9 (* x (- y 1))) x) (taylor 0 x) (#s(alt (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64)) (patch (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ 1/9 x) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64))) (patch (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ 1/9 x) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64))) (patch (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ 1/9 x) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64))) (patch (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64))) #<representation binary64>) () ())) ())
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#s(alt (* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) (- y 1))))) (taylor inf x) (#s(alt (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) (patch (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 3 (sqrt x)) (taylor inf x) (#s(alt (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (patch (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* 3 (sqrt x)) (taylor inf x) (#s(alt (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (patch (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* 3 (sqrt x)) (taylor inf x) (#s(alt (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (patch (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* 3 (sqrt x)) (taylor inf x) (#s(alt (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (patch (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (sqrt x) (taylor inf x) (#s(alt (sqrt.f64 x) (patch (sqrt.f64 x) #<representation binary64>) () ())) ())
#s(alt (sqrt x) (taylor inf x) (#s(alt (sqrt.f64 x) (patch (sqrt.f64 x) #<representation binary64>) () ())) ())
#s(alt (sqrt x) (taylor inf x) (#s(alt (sqrt.f64 x) (patch (sqrt.f64 x) #<representation binary64>) () ())) ())
#s(alt (sqrt x) (taylor inf x) (#s(alt (sqrt.f64 x) (patch (sqrt.f64 x) #<representation binary64>) () ())) ())
#s(alt (- y 1) (taylor inf x) (#s(alt (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64)) (patch (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (+ y (* 1/9 (/ 1 x))) 1) (taylor inf x) (#s(alt (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64)) (patch (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (+ y (* 1/9 (/ 1 x))) 1) (taylor inf x) (#s(alt (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64)) (patch (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (+ y (* 1/9 (/ 1 x))) 1) (taylor inf x) (#s(alt (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64)) (patch (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ 1/9 x) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64))) (patch (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ 1/9 x) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64))) (patch (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ 1/9 x) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64))) (patch (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ 1/9 x) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64))) (patch (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64))) #<representation binary64>) () ())) ())
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#s(alt (* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1))))))) (taylor -inf x) (#s(alt (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) (patch (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1))))))) (taylor -inf x) (#s(alt (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) (patch (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1))))))) (taylor -inf x) (#s(alt (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) (patch (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
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#s(alt (* -3 (* (sqrt x) (pow (sqrt -1) 2))) (taylor -inf x) (#s(alt (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (patch (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* -3 (* (sqrt x) (pow (sqrt -1) 2))) (taylor -inf x) (#s(alt (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (patch (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* -3 (* (sqrt x) (pow (sqrt -1) 2))) (taylor -inf x) (#s(alt (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (patch (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (sqrt x) (pow (sqrt -1) 2))) (taylor -inf x) (#s(alt (sqrt.f64 x) (patch (sqrt.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (sqrt x) (pow (sqrt -1) 2))) (taylor -inf x) (#s(alt (sqrt.f64 x) (patch (sqrt.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (sqrt x) (pow (sqrt -1) 2))) (taylor -inf x) (#s(alt (sqrt.f64 x) (patch (sqrt.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (sqrt x) (pow (sqrt -1) 2))) (taylor -inf x) (#s(alt (sqrt.f64 x) (patch (sqrt.f64 x) #<representation binary64>) () ())) ())
#s(alt (- y 1) (taylor -inf x) (#s(alt (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64)) (patch (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (+ y (* 1/9 (/ 1 x))) 1) (taylor -inf x) (#s(alt (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64)) (patch (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (+ y (* 1/9 (/ 1 x))) 1) (taylor -inf x) (#s(alt (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64)) (patch (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (+ y (* 1/9 (/ 1 x))) 1) (taylor -inf x) (#s(alt (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64)) (patch (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
Calls

6 calls:

TimeVariablePointExpression
2.0ms
x
@-inf
((/ 1 (* x 9)) (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (* 3 (sqrt x)) (sqrt x) (- (+ y (/ 1 (* x 9))) 1))
2.0ms
x
@0
((/ 1 (* x 9)) (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (* 3 (sqrt x)) (sqrt x) (- (+ y (/ 1 (* x 9))) 1))
1.0ms
y
@0
((/ 1 (* x 9)) (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (* 3 (sqrt x)) (sqrt x) (- (+ y (/ 1 (* x 9))) 1))
1.0ms
x
@inf
((/ 1 (* x 9)) (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (* 3 (sqrt x)) (sqrt x) (- (+ y (/ 1 (* x 9))) 1))
1.0ms
y
@inf
((/ 1 (* x 9)) (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (* 3 (sqrt x)) (sqrt x) (- (+ y (/ 1 (* x 9))) 1))

simplify165.0ms (2.2%)

Memory
-13.8MiB live, 206.6MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
079612
1209585
2666585
32171583
47005583
09266551
Stop Event
iter limit
node limit
Counts
84 → 82
Calls
Call 1
Inputs
(* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1)))
(+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1))))
(+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1))))
(+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1))))
(- (* 1/9 (/ 1 x)) 1)
(- (+ y (* 1/9 (/ 1 x))) 1)
(- (+ y (* 1/9 (/ 1 x))) 1)
(- (+ y (* 1/9 (/ 1 x))) 1)
(* 3 (* (sqrt x) y))
(* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))
(* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))
(* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))
y
(* y (- (+ 1 (/ 1/9 (* x y))) (/ 1 y)))
(* y (- (+ 1 (/ 1/9 (* x y))) (/ 1 y)))
(* y (- (+ 1 (/ 1/9 (* x y))) (/ 1 y)))
(* 3 (* (sqrt x) y))
(* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))))
(* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))))
(* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))))
y
(* -1 (* y (- (* -1 (/ (- (* 1/9 (/ 1 x)) 1) y)) 1)))
(* -1 (* y (- (* -1 (/ (- (* 1/9 (/ 1 x)) 1) y)) 1)))
(* -1 (* y (- (* -1 (/ (- (* 1/9 (/ 1 x)) 1) y)) 1)))
(/ 1/9 x)
(/ 1/9 x)
(/ 1/9 x)
(/ 1/9 x)
(* 1/3 (sqrt (/ 1 x)))
(/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) (- y 1)))) x)
(/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) (- y 1)))) x)
(/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) (- y 1)))) x)
(* 3 (sqrt x))
(* 3 (sqrt x))
(* 3 (sqrt x))
(* 3 (sqrt x))
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(/ 1/9 x)
(/ (+ 1/9 (* x (- y 1))) x)
(/ (+ 1/9 (* x (- y 1))) x)
(/ (+ 1/9 (* x (- y 1))) x)
(/ 1/9 x)
(/ 1/9 x)
(/ 1/9 x)
(/ 1/9 x)
(* 3 (* (sqrt x) (- y 1)))
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) (- y 1)))))
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) (- y 1)))))
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) (- y 1)))))
(* 3 (sqrt x))
(* 3 (sqrt x))
(* 3 (sqrt x))
(* 3 (sqrt x))
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(- y 1)
(- (+ y (* 1/9 (/ 1 x))) 1)
(- (+ y (* 1/9 (/ 1 x))) 1)
(- (+ y (* 1/9 (/ 1 x))) 1)
(/ 1/9 x)
(/ 1/9 x)
(/ 1/9 x)
(/ 1/9 x)
(* -3 (* (sqrt x) (* (pow (sqrt -1) 2) (- y 1))))
(* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1)))))))
(* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1)))))))
(* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1)))))))
(* -3 (* (sqrt x) (pow (sqrt -1) 2)))
(* -3 (* (sqrt x) (pow (sqrt -1) 2)))
(* -3 (* (sqrt x) (pow (sqrt -1) 2)))
(* -3 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(- y 1)
(- (+ y (* 1/9 (/ 1 x))) 1)
(- (+ y (* 1/9 (/ 1 x))) 1)
(- (+ y (* 1/9 (/ 1 x))) 1)
Outputs
(* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1)))
(*.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64)) (sqrt.f64 x))
(+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1))))
(*.f64 (sqrt.f64 x) (fma.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)))
(+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1))))
(*.f64 (sqrt.f64 x) (fma.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)))
(+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1))))
(*.f64 (sqrt.f64 x) (fma.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)))
(- (* 1/9 (/ 1 x)) 1)
(-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64))
(- (+ y (* 1/9 (/ 1 x))) 1)
(-.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 1 binary64))
(- (+ y (* 1/9 (/ 1 x))) 1)
(-.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 1 binary64))
(- (+ y (* 1/9 (/ 1 x))) 1)
(-.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 1 binary64))
(* 3 (* (sqrt x) y))
(*.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64))
(* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))
(*.f64 (sqrt.f64 x) (fma.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)))
(* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))
(*.f64 (sqrt.f64 x) (fma.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)))
(* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))
(*.f64 (sqrt.f64 x) (fma.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)))
y
(* y (- (+ 1 (/ 1/9 (* x y))) (/ 1 y)))
(-.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 1 binary64))
(* y (- (+ 1 (/ 1/9 (* x y))) (/ 1 y)))
(-.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 1 binary64))
(* y (- (+ 1 (/ 1/9 (* x y))) (/ 1 y)))
(-.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 1 binary64))
(* 3 (* (sqrt x) y))
(*.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64))
(* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))))
(*.f64 (sqrt.f64 x) (fma.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)))
(* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))))
(*.f64 (sqrt.f64 x) (fma.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)))
(* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))))
(*.f64 (sqrt.f64 x) (fma.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)))
y
(* -1 (* y (- (* -1 (/ (- (* 1/9 (/ 1 x)) 1) y)) 1)))
(-.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 1 binary64))
(* -1 (* y (- (* -1 (/ (- (* 1/9 (/ 1 x)) 1) y)) 1)))
(-.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 1 binary64))
(* -1 (* y (- (* -1 (/ (- (* 1/9 (/ 1 x)) 1) y)) 1)))
(-.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 1 binary64))
(/ 1/9 x)
(/.f64 #s(literal 1/9 binary64) x)
(/ 1/9 x)
(/.f64 #s(literal 1/9 binary64) x)
(/ 1/9 x)
(/.f64 #s(literal 1/9 binary64) x)
(/ 1/9 x)
(/.f64 #s(literal 1/9 binary64) x)
(* 1/3 (sqrt (/ 1 x)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64))
(/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) (- y 1)))) x)
(/.f64 (fma.f64 (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) x)
(/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) (- y 1)))) x)
(/.f64 (fma.f64 (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) x)
(/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) (- y 1)))) x)
(/.f64 (fma.f64 (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) x)
(* 3 (sqrt x))
(*.f64 (sqrt.f64 x) #s(literal 3 binary64))
(* 3 (sqrt x))
(*.f64 (sqrt.f64 x) #s(literal 3 binary64))
(* 3 (sqrt x))
(*.f64 (sqrt.f64 x) #s(literal 3 binary64))
(* 3 (sqrt x))
(*.f64 (sqrt.f64 x) #s(literal 3 binary64))
(sqrt x)
(sqrt.f64 x)
(sqrt x)
(sqrt.f64 x)
(sqrt x)
(sqrt.f64 x)
(sqrt x)
(sqrt.f64 x)
(/ 1/9 x)
(/.f64 #s(literal 1/9 binary64) x)
(/ (+ 1/9 (* x (- y 1))) x)
(/.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) x #s(literal 1/9 binary64)) x)
(/ (+ 1/9 (* x (- y 1))) x)
(/.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) x #s(literal 1/9 binary64)) x)
(/ (+ 1/9 (* x (- y 1))) x)
(/.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) x #s(literal 1/9 binary64)) x)
(/ 1/9 x)
(/.f64 #s(literal 1/9 binary64) x)
(/ 1/9 x)
(/.f64 #s(literal 1/9 binary64) x)
(/ 1/9 x)
(/.f64 #s(literal 1/9 binary64) x)
(/ 1/9 x)
(/.f64 #s(literal 1/9 binary64) x)
(* 3 (* (sqrt x) (- y 1)))
(*.f64 (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 x))
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) (- y 1)))))
(*.f64 (fma.f64 (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/3 binary64))) x)
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) (- y 1)))))
(*.f64 (fma.f64 (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/3 binary64))) x)
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) (- y 1)))))
(*.f64 (fma.f64 (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/3 binary64))) x)
(* 3 (sqrt x))
(*.f64 (sqrt.f64 x) #s(literal 3 binary64))
(* 3 (sqrt x))
(*.f64 (sqrt.f64 x) #s(literal 3 binary64))
(* 3 (sqrt x))
(*.f64 (sqrt.f64 x) #s(literal 3 binary64))
(* 3 (sqrt x))
(*.f64 (sqrt.f64 x) #s(literal 3 binary64))
(sqrt x)
(sqrt.f64 x)
(sqrt x)
(sqrt.f64 x)
(sqrt x)
(sqrt.f64 x)
(sqrt x)
(sqrt.f64 x)
(- y 1)
(-.f64 y #s(literal 1 binary64))
(- (+ y (* 1/9 (/ 1 x))) 1)
(-.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 1 binary64))
(- (+ y (* 1/9 (/ 1 x))) 1)
(-.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 1 binary64))
(- (+ y (* 1/9 (/ 1 x))) 1)
(-.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 1 binary64))
(/ 1/9 x)
(/.f64 #s(literal 1/9 binary64) x)
(/ 1/9 x)
(/.f64 #s(literal 1/9 binary64) x)
(/ 1/9 x)
(/.f64 #s(literal 1/9 binary64) x)
(/ 1/9 x)
(/.f64 #s(literal 1/9 binary64) x)
(* -3 (* (sqrt x) (* (pow (sqrt -1) 2) (- y 1))))
(*.f64 (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 x))
(* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1)))))))
(*.f64 (fma.f64 (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/3 binary64))) x)
(* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1)))))))
(*.f64 (fma.f64 (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/3 binary64))) x)
(* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1)))))))
(*.f64 (fma.f64 (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/3 binary64))) x)
(* -3 (* (sqrt x) (pow (sqrt -1) 2)))
(*.f64 (sqrt.f64 x) #s(literal 3 binary64))
(* -3 (* (sqrt x) (pow (sqrt -1) 2)))
(*.f64 (sqrt.f64 x) #s(literal 3 binary64))
(* -3 (* (sqrt x) (pow (sqrt -1) 2)))
(*.f64 (sqrt.f64 x) #s(literal 3 binary64))
(* -3 (* (sqrt x) (pow (sqrt -1) 2)))
(*.f64 (sqrt.f64 x) #s(literal 3 binary64))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(sqrt.f64 x)
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(sqrt.f64 x)
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(sqrt.f64 x)
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(sqrt.f64 x)
(- y 1)
(-.f64 y #s(literal 1 binary64))
(- (+ y (* 1/9 (/ 1 x))) 1)
(-.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 1 binary64))
(- (+ y (* 1/9 (/ 1 x))) 1)
(-.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 1 binary64))
(- (+ y (* 1/9 (/ 1 x))) 1)
(-.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 1 binary64))

rewrite175.0ms (2.3%)

Memory
-0.1MiB live, 263.2MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01234
01934
16628
252128
3647628
0829527
Stop Event
iter limit
node limit
iter limit
Counts
5 → 259
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64)))
(*.f64 #s(literal 3 binary64) (sqrt.f64 x))
(sqrt.f64 x)
(-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))
Outputs
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eval70.0ms (0.9%)

Memory
1.3MiB live, 87.3MiB allocated
Compiler

Compiled 8 094 to 887 computations (89% saved)

prune43.0ms (0.6%)

Memory
10.6MiB live, 49.5MiB allocated
Pruning

20 alts after pruning (19 fresh and 1 done)

PrunedKeptTotal
New32219341
Fresh000
Picked011
Done000
Total32220342
Accuracy
100.0%
Counts
342 → 20
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.4%
(fma.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) (sqrt.f64 x)) #s(literal 3 binary64) (*.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64))))
99.4%
(fma.f64 (sqrt.f64 x) #s(literal -3 binary64) (*.f64 (*.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 3 binary64)) (sqrt.f64 x)))
45.4%
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 3 binary64)) (sqrt.f64 x)) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal -3 binary64) (sqrt.f64 x)) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 3 binary64)) (sqrt.f64 x)) (*.f64 (*.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 3 binary64)) (sqrt.f64 x)) (-.f64 (*.f64 (*.f64 #s(literal -3 binary64) (sqrt.f64 x)) (*.f64 #s(literal -3 binary64) (sqrt.f64 x))) (*.f64 (*.f64 (*.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 3 binary64)) (sqrt.f64 x)) (*.f64 #s(literal -3 binary64) (sqrt.f64 x))))))
99.2%
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (*.f64 (pow.f64 x #s(literal 1/4 binary64)) (fma.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 3 binary64) #s(literal -3 binary64))))
99.5%
(*.f64 (*.f64 (-.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 1 binary64)) (sqrt.f64 x)) #s(literal 3 binary64))
53.7%
(*.f64 (*.f64 #s(literal 3 binary64) (pow.f64 (*.f64 x x) #s(literal 1/4 binary64))) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64)))
99.5%
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (fma.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1/9 binary64) (-.f64 y #s(literal 1 binary64))))
99.4%
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (pow.f64 (pow.f64 (*.f64 #s(literal 9 binary64) x) #s(literal -1/2 binary64)) #s(literal 2 binary64))) #s(literal 1 binary64)))
99.5%
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -9 binary64))) #s(literal 1 binary64)))
99.5%
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64)))
33.0%
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) #s(approx (- (+ y (/ 1 (* x 9))) 1) (/.f64 #s(literal 1/9 binary64) x)))
61.9%
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) #s(approx (- (+ y (/ 1 (* x 9))) 1) (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64))))
67.3%
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) #s(approx (- (+ y (/ 1 (* x 9))) 1) (-.f64 y #s(literal 1 binary64))))
61.6%
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (/.f64 (fma.f64 (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) x))
68.7%
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (fma.f64 (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/3 binary64))) x))
67.3%
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 x)))
62.0%
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64)) (sqrt.f64 x)))
39.5%
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64)))
33.1%
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64)))
99.4%
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 x) (fma.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))))
Compiler

Compiled 598 to 452 computations (24.4% saved)

simplify310.0ms (4.1%)

Memory
-14.1MiB live, 114.6MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(pow.f64 (*.f64 x x) #s(literal 1/4 binary64))
cost-diff0
(*.f64 #s(literal 3 binary64) (pow.f64 (*.f64 x x) #s(literal 1/4 binary64)))
cost-diff128
(*.f64 (*.f64 #s(literal 3 binary64) (pow.f64 (*.f64 x x) #s(literal 1/4 binary64))) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64)))
cost-diff320
(/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))
cost-diff0
(+.f64 y (/.f64 #s(literal 1/9 binary64) x))
cost-diff0
(-.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 1 binary64))
cost-diff0
(*.f64 (-.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 1 binary64)) (sqrt.f64 x))
cost-diff128
(*.f64 (*.f64 (-.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 1 binary64)) (sqrt.f64 x)) #s(literal 3 binary64))
cost-diff0
(/.f64 #s(literal 1/3 binary64) x)
cost-diff0
(+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64))
cost-diff0
(*.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64)) (sqrt.f64 x))
cost-diff0
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64)) (sqrt.f64 x)))
cost-diff0
(sqrt.f64 x)
cost-diff0
(*.f64 y (sqrt.f64 x))
cost-diff0
(*.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64))
cost-diff0
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64)))
cost-diff0
(sqrt.f64 x)
cost-diff0
(*.f64 #s(literal 3 binary64) (sqrt.f64 x))
cost-diff128
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -9 binary64))) #s(literal 1 binary64)))
cost-diff704
(/.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -9 binary64))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
045236
070244
1111216
2244216
3432216
4693216
5988216
62174216
74045216
84940216
95637216
105850216
115947216
125989216
135994216
146082216
156082216
167058216
177506216
187786216
08049211
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -9 binary64))) #s(literal 1 binary64)))
(*.f64 #s(literal 3 binary64) (sqrt.f64 x))
#s(literal 3 binary64)
(sqrt.f64 x)
x
(-.f64 (+.f64 y (/.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -9 binary64))) #s(literal 1 binary64))
(+.f64 y (/.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -9 binary64)))
y
(/.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -9 binary64))
(/.f64 #s(literal -1 binary64) x)
#s(literal -1 binary64)
#s(literal -9 binary64)
#s(literal 1 binary64)
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64)))
(*.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64))
(*.f64 y (sqrt.f64 x))
y
(sqrt.f64 x)
x
#s(literal 3 binary64)
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64)) (sqrt.f64 x)))
(*.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64)) (sqrt.f64 x))
(+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64))
(/.f64 #s(literal 1/3 binary64) x)
#s(literal 1/3 binary64)
x
#s(literal -3 binary64)
(sqrt.f64 x)
(*.f64 (*.f64 (-.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 1 binary64)) (sqrt.f64 x)) #s(literal 3 binary64))
(*.f64 (-.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 1 binary64)) (sqrt.f64 x))
(-.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 1 binary64))
(+.f64 y (/.f64 #s(literal 1/9 binary64) x))
y
(/.f64 #s(literal 1/9 binary64) x)
#s(literal 1/9 binary64)
x
#s(literal 1 binary64)
(sqrt.f64 x)
#s(literal 3 binary64)
(*.f64 (*.f64 #s(literal 3 binary64) (pow.f64 (*.f64 x x) #s(literal 1/4 binary64))) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64)))
(*.f64 #s(literal 3 binary64) (pow.f64 (*.f64 x x) #s(literal 1/4 binary64)))
#s(literal 3 binary64)
(pow.f64 (*.f64 x x) #s(literal 1/4 binary64))
(*.f64 x x)
x
#s(literal 1/4 binary64)
(-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))
(+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64))))
y
(/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))
#s(literal 1 binary64)
(*.f64 x #s(literal 9 binary64))
#s(literal 9 binary64)
Outputs
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -9 binary64))) #s(literal 1 binary64)))
(*.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 x))
(*.f64 #s(literal 3 binary64) (sqrt.f64 x))
(*.f64 (sqrt.f64 x) #s(literal 3 binary64))
#s(literal 3 binary64)
(sqrt.f64 x)
x
(-.f64 (+.f64 y (/.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -9 binary64))) #s(literal 1 binary64))
(-.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal 1 binary64))
(+.f64 y (/.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -9 binary64)))
(+.f64 (/.f64 #s(literal 1/9 binary64) x) y)
y
(/.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -9 binary64))
(/.f64 #s(literal 1/9 binary64) x)
(/.f64 #s(literal -1 binary64) x)
#s(literal -1 binary64)
#s(literal -9 binary64)
#s(literal 1 binary64)
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64)))
(*.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64))
(*.f64 y (sqrt.f64 x))
y
(sqrt.f64 x)
x
#s(literal 3 binary64)
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64)) (sqrt.f64 x)))
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 3 binary64)) (sqrt.f64 x)))
(*.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64)) (sqrt.f64 x))
(*.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 3 binary64)) (sqrt.f64 x))
(+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64))
(-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 3 binary64))
(/.f64 #s(literal 1/3 binary64) x)
#s(literal 1/3 binary64)
x
#s(literal -3 binary64)
(sqrt.f64 x)
(*.f64 (*.f64 (-.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 1 binary64)) (sqrt.f64 x)) #s(literal 3 binary64))
(*.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 x))
(*.f64 (-.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 1 binary64)) (sqrt.f64 x))
(*.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal 1 binary64)) (sqrt.f64 x))
(-.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 1 binary64))
(-.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal 1 binary64))
(+.f64 y (/.f64 #s(literal 1/9 binary64) x))
(+.f64 (/.f64 #s(literal 1/9 binary64) x) y)
y
(/.f64 #s(literal 1/9 binary64) x)
#s(literal 1/9 binary64)
x
#s(literal 1 binary64)
(sqrt.f64 x)
#s(literal 3 binary64)
(*.f64 (*.f64 #s(literal 3 binary64) (pow.f64 (*.f64 x x) #s(literal 1/4 binary64))) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64)))
(*.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal 3 binary64) #s(literal -3 binary64)) (pow.f64 (*.f64 x x) #s(literal 1/4 binary64)))
(*.f64 #s(literal 3 binary64) (pow.f64 (*.f64 x x) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (*.f64 x x) #s(literal 1/4 binary64)) #s(literal 3 binary64))
#s(literal 3 binary64)
(pow.f64 (*.f64 x x) #s(literal 1/4 binary64))
(*.f64 x x)
x
#s(literal 1/4 binary64)
(-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))
(-.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal 1 binary64))
(+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64))))
(+.f64 (/.f64 #s(literal 1/9 binary64) x) y)
y
(/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))
(/.f64 #s(literal 1/9 binary64) x)
#s(literal 1 binary64)
(*.f64 x #s(literal 9 binary64))
(*.f64 #s(literal 9 binary64) x)
#s(literal 9 binary64)

localize194.0ms (2.6%)

Memory
-6.5MiB live, 224.3MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.205410009768442
(*.f64 (*.f64 #s(literal 3 binary64) (pow.f64 (*.f64 x x) #s(literal 1/4 binary64))) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64)))
accuracy0.26953125
(/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))
accuracy0.33203125
(*.f64 #s(literal 3 binary64) (pow.f64 (*.f64 x x) #s(literal 1/4 binary64)))
accuracy33.37943993218902
(pow.f64 (*.f64 x x) #s(literal 1/4 binary64))
accuracy0.00390625
(-.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 1 binary64))
accuracy0.25
(*.f64 (-.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 1 binary64)) (sqrt.f64 x))
accuracy0.25390625
(*.f64 (*.f64 (-.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 1 binary64)) (sqrt.f64 x)) #s(literal 3 binary64))
accuracy0.33203125
(/.f64 #s(literal 1/9 binary64) x)
accuracy0
(sqrt.f64 x)
accuracy0.3515625
(*.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64)) (sqrt.f64 x))
accuracy0.37109375
(/.f64 #s(literal 1/3 binary64) x)
accuracy24.102749879001937
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64)) (sqrt.f64 x)))
accuracy0
(sqrt.f64 x)
accuracy0.265625
(*.f64 y (sqrt.f64 x))
accuracy0.2734375
(*.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64))
accuracy38.635403692013085
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64)))
accuracy0.00390625
(-.f64 (+.f64 y (/.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -9 binary64))) #s(literal 1 binary64))
accuracy0.205410009768442
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -9 binary64))) #s(literal 1 binary64)))
accuracy0.26953125
(/.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -9 binary64))
accuracy0.33203125
(*.f64 #s(literal 3 binary64) (sqrt.f64 x))
Samples
105.0ms256×0valid
Compiler

Compiled 430 to 77 computations (82.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 53.0ms
ival-mult: 17.0ms (32.2% of total)
ival-div: 11.0ms (20.8% of total)
const: 7.0ms (13.3% of total)
ival-pow: 6.0ms (11.4% of total)
ival-add: 5.0ms (9.5% of total)
ival-sub: 3.0ms (5.7% of total)
ival-sqrt: 2.0ms (3.8% of total)
exact: 1.0ms (1.9% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series148.0ms (2%)

Memory
8.9MiB live, 323.8MiB allocated
Counts
21 → 384
Calls
Call 1
Inputs
#s(alt (/.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -9 binary64)) (patch (/.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -9 binary64)) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -9 binary64))) #s(literal 1 binary64))) (patch (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -9 binary64))) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (patch (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) #<representation binary64>) () ())
#s(alt (sqrt.f64 x) (patch (sqrt.f64 x) #<representation binary64>) () ())
#s(alt #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64))) (patch #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64))) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64)) (patch (*.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64)) #<representation binary64>) () ())
#s(alt (*.f64 y (sqrt.f64 x)) (patch (*.f64 y (sqrt.f64 x)) #<representation binary64>) () ())
#s(alt #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64)) (sqrt.f64 x))) (patch #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64)) (sqrt.f64 x))) #<representation binary64>) () ())
#s(alt (*.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64)) (sqrt.f64 x)) (patch (*.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64)) (sqrt.f64 x)) #<representation binary64>) () ())
#s(alt (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64)) (patch (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1/3 binary64) x) (patch (/.f64 #s(literal 1/3 binary64) x) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 (-.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 1 binary64)) (sqrt.f64 x)) #s(literal 3 binary64)) (patch (*.f64 (*.f64 (-.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 1 binary64)) (sqrt.f64 x)) #s(literal 3 binary64)) #<representation binary64>) () ())
#s(alt (*.f64 (-.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 1 binary64)) (sqrt.f64 x)) (patch (*.f64 (-.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 1 binary64)) (sqrt.f64 x)) #<representation binary64>) () ())
#s(alt (-.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 1 binary64)) (patch (-.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) (patch (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64))) (patch (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64))) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 #s(literal 3 binary64) (pow.f64 (*.f64 x x) #s(literal 1/4 binary64))) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) (patch (*.f64 (*.f64 #s(literal 3 binary64) (pow.f64 (*.f64 x x) #s(literal 1/4 binary64))) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (*.f64 #s(literal 3 binary64) (pow.f64 (*.f64 x x) #s(literal 1/4 binary64))) (patch (*.f64 #s(literal 3 binary64) (pow.f64 (*.f64 x x) #s(literal 1/4 binary64))) #<representation binary64>) () ())
#s(alt (pow.f64 (*.f64 x x) #s(literal 1/4 binary64)) (patch (pow.f64 (*.f64 x x) #s(literal 1/4 binary64)) #<representation binary64>) () ())
#s(alt (-.f64 (+.f64 y (/.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -9 binary64))) #s(literal 1 binary64)) (patch (-.f64 (+.f64 y (/.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -9 binary64))) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1/9 binary64) x) (patch (/.f64 #s(literal 1/9 binary64) x) #<representation binary64>) () ())
Outputs
#s(alt (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1))) (taylor 0 y) (#s(alt (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -9 binary64))) #s(literal 1 binary64))) (patch (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -9 binary64))) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1)))) (taylor 0 y) (#s(alt (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -9 binary64))) #s(literal 1 binary64))) (patch (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -9 binary64))) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1)))) (taylor 0 y) (#s(alt (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -9 binary64))) #s(literal 1 binary64))) (patch (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -9 binary64))) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
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Calls

6 calls:

TimeVariablePointExpression
58.0ms
y
@0
((/ (/ -1 x) -9) (* (* 3 (sqrt x)) (- (+ y (/ (/ -1 x) -9)) 1)) (* 3 (sqrt x)) (sqrt x) (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (* (* y (sqrt x)) 3) (* y (sqrt x)) (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (* (+ (/ 1/3 x) -3) (sqrt x)) (+ (/ 1/3 x) -3) (/ 1/3 x) (* (* (- (+ y (/ 1/9 x)) 1) (sqrt x)) 3) (* (- (+ y (/ 1/9 x)) 1) (sqrt x)) (- (+ y (/ 1/9 x)) 1) (+ y (/ 1/9 x)) (/ 1 (* x 9)) (* (* 3 (pow (* x x) 1/4)) (- (+ y (/ 1 (* x 9))) 1)) (* 3 (pow (* x x) 1/4)) (pow (* x x) 1/4) (- (+ y (/ (/ -1 x) -9)) 1) (/ 1/9 x))
18.0ms
y
@-inf
((/ (/ -1 x) -9) (* (* 3 (sqrt x)) (- (+ y (/ (/ -1 x) -9)) 1)) (* 3 (sqrt x)) (sqrt x) (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (* (* y (sqrt x)) 3) (* y (sqrt x)) (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (* (+ (/ 1/3 x) -3) (sqrt x)) (+ (/ 1/3 x) -3) (/ 1/3 x) (* (* (- (+ y (/ 1/9 x)) 1) (sqrt x)) 3) (* (- (+ y (/ 1/9 x)) 1) (sqrt x)) (- (+ y (/ 1/9 x)) 1) (+ y (/ 1/9 x)) (/ 1 (* x 9)) (* (* 3 (pow (* x x) 1/4)) (- (+ y (/ 1 (* x 9))) 1)) (* 3 (pow (* x x) 1/4)) (pow (* x x) 1/4) (- (+ y (/ (/ -1 x) -9)) 1) (/ 1/9 x))
15.0ms
x
@-inf
((/ (/ -1 x) -9) (* (* 3 (sqrt x)) (- (+ y (/ (/ -1 x) -9)) 1)) (* 3 (sqrt x)) (sqrt x) (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (* (* y (sqrt x)) 3) (* y (sqrt x)) (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (* (+ (/ 1/3 x) -3) (sqrt x)) (+ (/ 1/3 x) -3) (/ 1/3 x) (* (* (- (+ y (/ 1/9 x)) 1) (sqrt x)) 3) (* (- (+ y (/ 1/9 x)) 1) (sqrt x)) (- (+ y (/ 1/9 x)) 1) (+ y (/ 1/9 x)) (/ 1 (* x 9)) (* (* 3 (pow (* x x) 1/4)) (- (+ y (/ 1 (* x 9))) 1)) (* 3 (pow (* x x) 1/4)) (pow (* x x) 1/4) (- (+ y (/ (/ -1 x) -9)) 1) (/ 1/9 x))
15.0ms
x
@0
((/ (/ -1 x) -9) (* (* 3 (sqrt x)) (- (+ y (/ (/ -1 x) -9)) 1)) (* 3 (sqrt x)) (sqrt x) (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (* (* y (sqrt x)) 3) (* y (sqrt x)) (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (* (+ (/ 1/3 x) -3) (sqrt x)) (+ (/ 1/3 x) -3) (/ 1/3 x) (* (* (- (+ y (/ 1/9 x)) 1) (sqrt x)) 3) (* (- (+ y (/ 1/9 x)) 1) (sqrt x)) (- (+ y (/ 1/9 x)) 1) (+ y (/ 1/9 x)) (/ 1 (* x 9)) (* (* 3 (pow (* x x) 1/4)) (- (+ y (/ 1 (* x 9))) 1)) (* 3 (pow (* x x) 1/4)) (pow (* x x) 1/4) (- (+ y (/ (/ -1 x) -9)) 1) (/ 1/9 x))
14.0ms
y
@inf
((/ (/ -1 x) -9) (* (* 3 (sqrt x)) (- (+ y (/ (/ -1 x) -9)) 1)) (* 3 (sqrt x)) (sqrt x) (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (* (* y (sqrt x)) 3) (* y (sqrt x)) (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (* (+ (/ 1/3 x) -3) (sqrt x)) (+ (/ 1/3 x) -3) (/ 1/3 x) (* (* (- (+ y (/ 1/9 x)) 1) (sqrt x)) 3) (* (- (+ y (/ 1/9 x)) 1) (sqrt x)) (- (+ y (/ 1/9 x)) 1) (+ y (/ 1/9 x)) (/ 1 (* x 9)) (* (* 3 (pow (* x x) 1/4)) (- (+ y (/ 1 (* x 9))) 1)) (* 3 (pow (* x x) 1/4)) (pow (* x x) 1/4) (- (+ y (/ (/ -1 x) -9)) 1) (/ 1/9 x))

simplify162.0ms (2.2%)

Memory
-11.9MiB live, 272.7MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01403121
14003121
212933112
330063099
475853099
083942924
Stop Event
iter limit
node limit
Counts
384 → 376
Calls
Call 1
Inputs
(* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1)))
(+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1))))
(+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1))))
(+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1))))
(* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1)))
(+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1))))
(+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1))))
(+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1))))
(* 3 (* (sqrt x) y))
(* 3 (* (sqrt x) y))
(* 3 (* (sqrt x) y))
(* 3 (* (sqrt x) y))
(* (sqrt x) y)
(* (sqrt x) y)
(* (sqrt x) y)
(* (sqrt x) y)
(* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1)))
(+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1))))
(+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1))))
(+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1))))
(* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1)))
(+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1))))
(+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1))))
(+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1))))
(* (sqrt x) (- (* 1/9 (/ 1 x)) 1))
(+ (* (sqrt x) y) (* (sqrt x) (- (* 1/9 (/ 1 x)) 1)))
(+ (* (sqrt x) y) (* (sqrt x) (- (* 1/9 (/ 1 x)) 1)))
(+ (* (sqrt x) y) (* (sqrt x) (- (* 1/9 (/ 1 x)) 1)))
(- (* 1/9 (/ 1 x)) 1)
(- (+ y (* 1/9 (/ 1 x))) 1)
(- (+ y (* 1/9 (/ 1 x))) 1)
(- (+ y (* 1/9 (/ 1 x))) 1)
(/ 1/9 x)
(+ y (* 1/9 (/ 1 x)))
(+ y (* 1/9 (/ 1 x)))
(+ y (* 1/9 (/ 1 x)))
(* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1)))
(+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1))))
(+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1))))
(+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1))))
(- (* 1/9 (/ 1 x)) 1)
(- (+ y (* 1/9 (/ 1 x))) 1)
(- (+ y (* 1/9 (/ 1 x))) 1)
(- (+ y (* 1/9 (/ 1 x))) 1)
(* 3 (* (sqrt x) y))
(* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))
(* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))
(* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))
(* 3 (* (sqrt x) y))
(* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))
(* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))
(* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))
(* 3 (* (sqrt x) y))
(* 3 (* (sqrt x) y))
(* 3 (* (sqrt x) y))
(* 3 (* (sqrt x) y))
(* (sqrt x) y)
(* (sqrt x) y)
(* (sqrt x) y)
(* (sqrt x) y)
(* 3 (* (sqrt x) y))
(* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))
(* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))
(* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))
(* 3 (* (sqrt x) y))
(* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))
(* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))
(* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))
(* (sqrt x) y)
(* y (+ (sqrt x) (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))
(* y (+ (sqrt x) (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))
(* y (+ (sqrt x) (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))
y
(* y (- (+ 1 (/ 1/9 (* x y))) (/ 1 y)))
(* y (- (+ 1 (/ 1/9 (* x y))) (/ 1 y)))
(* y (- (+ 1 (/ 1/9 (* x y))) (/ 1 y)))
y
(* y (+ 1 (* 1/9 (/ 1 (* x y)))))
(* y (+ 1 (* 1/9 (/ 1 (* x y)))))
(* y (+ 1 (* 1/9 (/ 1 (* x y)))))
(* 3 (* (sqrt x) y))
(* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))
(* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))
(* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))
y
(* y (- (+ 1 (/ 1/9 (* x y))) (/ 1 y)))
(* y (- (+ 1 (/ 1/9 (* x y))) (/ 1 y)))
(* y (- (+ 1 (/ 1/9 (* x y))) (/ 1 y)))
(* 3 (* (sqrt x) y))
(* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))))
(* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))))
(* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))))
(* 3 (* (sqrt x) y))
(* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))))
(* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))))
(* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))))
(* 3 (* (sqrt x) y))
(* 3 (* (sqrt x) y))
(* 3 (* (sqrt x) y))
(* 3 (* (sqrt x) y))
(* (sqrt x) y)
(* (sqrt x) y)
(* (sqrt x) y)
(* (sqrt x) y)
(* 3 (* (sqrt x) y))
(* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))))
(* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))))
(* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))))
(* 3 (* (sqrt x) y))
(* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))))
(* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))))
(* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))))
(* (sqrt x) y)
(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))))
(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))))
(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))))
y
(* -1 (* y (- (* -1 (/ (- (* 1/9 (/ 1 x)) 1) y)) 1)))
(* -1 (* y (- (* -1 (/ (- (* 1/9 (/ 1 x)) 1) y)) 1)))
(* -1 (* y (- (* -1 (/ (- (* 1/9 (/ 1 x)) 1) y)) 1)))
y
(* y (+ 1 (* 1/9 (/ 1 (* x y)))))
(* y (+ 1 (* 1/9 (/ 1 (* x y)))))
(* y (+ 1 (* 1/9 (/ 1 (* x y)))))
(* 3 (* (sqrt x) y))
(* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))))
(* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))))
(* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))))
y
(* -1 (* y (- (* -1 (/ (- (* 1/9 (/ 1 x)) 1) y)) 1)))
(* -1 (* y (- (* -1 (/ (- (* 1/9 (/ 1 x)) 1) y)) 1)))
(* -1 (* y (- (* -1 (/ (- (* 1/9 (/ 1 x)) 1) y)) 1)))
(/ 1/9 x)
(/ 1/9 x)
(/ 1/9 x)
(/ 1/9 x)
(* 1/3 (sqrt (/ 1 x)))
(/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) (- y 1)))) x)
(/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) (- y 1)))) x)
(/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) (- y 1)))) x)
(* 3 (sqrt x))
(* 3 (sqrt x))
(* 3 (sqrt x))
(* 3 (sqrt x))
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(* 1/3 (sqrt (/ 1 x)))
(/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) (- y 1)))) x)
(/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) (- y 1)))) x)
(/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) (- y 1)))) x)
(* 3 (* (sqrt x) y))
(* 3 (* (sqrt x) y))
(* 3 (* (sqrt x) y))
(* 3 (* (sqrt x) y))
(* (sqrt x) y)
(* (sqrt x) y)
(* (sqrt x) y)
(* (sqrt x) y)
(* 1/3 (sqrt (/ 1 x)))
(/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) (- y 1)))) x)
(/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) (- y 1)))) x)
(/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) (- y 1)))) x)
(* 1/3 (sqrt (/ 1 x)))
(/ (+ (* -3 (sqrt (pow x 3))) (* 1/3 (sqrt x))) x)
(/ (+ (* -3 (sqrt (pow x 3))) (* 1/3 (sqrt x))) x)
(/ (+ (* -3 (sqrt (pow x 3))) (* 1/3 (sqrt x))) x)
(/ 1/3 x)
(/ (+ 1/3 (* -3 x)) x)
(/ (+ 1/3 (* -3 x)) x)
(/ (+ 1/3 (* -3 x)) x)
(/ 1/3 x)
(/ 1/3 x)
(/ 1/3 x)
(/ 1/3 x)
(* 1/3 (sqrt (/ 1 x)))
(/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) (- y 1)))) x)
(/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) (- y 1)))) x)
(/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) (- y 1)))) x)
(* 1/9 (sqrt (/ 1 x)))
(/ (+ (* 1/9 (sqrt x)) (* (sqrt (pow x 3)) (- y 1))) x)
(/ (+ (* 1/9 (sqrt x)) (* (sqrt (pow x 3)) (- y 1))) x)
(/ (+ (* 1/9 (sqrt x)) (* (sqrt (pow x 3)) (- y 1))) x)
(/ 1/9 x)
(/ (+ 1/9 (* x (- y 1))) x)
(/ (+ 1/9 (* x (- y 1))) x)
(/ (+ 1/9 (* x (- y 1))) x)
(/ 1/9 x)
(/ (+ 1/9 (* x y)) x)
(/ (+ 1/9 (* x y)) x)
(/ (+ 1/9 (* x y)) x)
(/ 1/9 x)
(/ 1/9 x)
(/ 1/9 x)
(/ 1/9 x)
(* 1/3 (sqrt (/ 1 x)))
(/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) (- y 1)))) x)
(/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) (- y 1)))) x)
(/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) (- y 1)))) x)
(* 3 (sqrt x))
(* 3 (sqrt x))
(* 3 (sqrt x))
(* 3 (sqrt x))
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(/ 1/9 x)
(/ (+ 1/9 (* x (- y 1))) x)
(/ (+ 1/9 (* x (- y 1))) x)
(/ (+ 1/9 (* x (- y 1))) x)
(/ 1/9 x)
(/ 1/9 x)
(/ 1/9 x)
(/ 1/9 x)
(/ 1/9 x)
(/ 1/9 x)
(/ 1/9 x)
(/ 1/9 x)
(* 3 (* (sqrt x) (- y 1)))
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) (- y 1)))))
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) (- y 1)))))
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) (- y 1)))))
(* 3 (sqrt x))
(* 3 (sqrt x))
(* 3 (sqrt x))
(* 3 (sqrt x))
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(* 3 (* (sqrt x) (- y 1)))
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) (- y 1)))))
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) (- y 1)))))
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) (- y 1)))))
(* 3 (* (sqrt x) y))
(* 3 (* (sqrt x) y))
(* 3 (* (sqrt x) y))
(* 3 (* (sqrt x) y))
(* (sqrt x) y)
(* (sqrt x) y)
(* (sqrt x) y)
(* (sqrt x) y)
(* 3 (* (sqrt x) (- y 1)))
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) (- y 1)))))
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) (- y 1)))))
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) (- y 1)))))
(* -3 (sqrt x))
(* x (+ (* -3 (sqrt (/ 1 x))) (* 1/3 (sqrt (/ 1 (pow x 3))))))
(* x (+ (* -3 (sqrt (/ 1 x))) (* 1/3 (sqrt (/ 1 (pow x 3))))))
(* x (+ (* -3 (sqrt (/ 1 x))) (* 1/3 (sqrt (/ 1 (pow x 3))))))
-3
(- (* 1/3 (/ 1 x)) 3)
(- (* 1/3 (/ 1 x)) 3)
(- (* 1/3 (/ 1 x)) 3)
(/ 1/3 x)
(/ 1/3 x)
(/ 1/3 x)
(/ 1/3 x)
(* 3 (* (sqrt x) (- y 1)))
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) (- y 1)))))
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) (- y 1)))))
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) (- y 1)))))
(* (sqrt x) (- y 1))
(* x (+ (* 1/9 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (- y 1))))
(* x (+ (* 1/9 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (- y 1))))
(* x (+ (* 1/9 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (- y 1))))
(- y 1)
(- (+ y (* 1/9 (/ 1 x))) 1)
(- (+ y (* 1/9 (/ 1 x))) 1)
(- (+ y (* 1/9 (/ 1 x))) 1)
y
(+ y (* 1/9 (/ 1 x)))
(+ y (* 1/9 (/ 1 x)))
(+ y (* 1/9 (/ 1 x)))
(/ 1/9 x)
(/ 1/9 x)
(/ 1/9 x)
(/ 1/9 x)
(* 3 (* (sqrt x) (- y 1)))
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) (- y 1)))))
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) (- y 1)))))
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) (- y 1)))))
(* 3 (sqrt x))
(* 3 (sqrt x))
(* 3 (sqrt x))
(* 3 (sqrt x))
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(- y 1)
(- (+ y (* 1/9 (/ 1 x))) 1)
(- (+ y (* 1/9 (/ 1 x))) 1)
(- (+ y (* 1/9 (/ 1 x))) 1)
(/ 1/9 x)
(/ 1/9 x)
(/ 1/9 x)
(/ 1/9 x)
(/ 1/9 x)
(/ 1/9 x)
(/ 1/9 x)
(/ 1/9 x)
(* -3 (* (sqrt x) (* (pow (sqrt -1) 2) (- y 1))))
(* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1)))))))
(* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1)))))))
(* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1)))))))
(* -3 (* (sqrt x) (pow (sqrt -1) 2)))
(* -3 (* (sqrt x) (pow (sqrt -1) 2)))
(* -3 (* (sqrt x) (pow (sqrt -1) 2)))
(* -3 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* -3 (* (sqrt x) (* (pow (sqrt -1) 2) (- y 1))))
(* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1)))))))
(* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1)))))))
(* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1)))))))
(* -3 (* (sqrt x) (* y (pow (sqrt -1) 2))))
(* -3 (* (sqrt x) (* y (pow (sqrt -1) 2))))
(* -3 (* (sqrt x) (* y (pow (sqrt -1) 2))))
(* -3 (* (sqrt x) (* y (pow (sqrt -1) 2))))
(* -1 (* (sqrt x) (* y (pow (sqrt -1) 2))))
(* -1 (* (sqrt x) (* y (pow (sqrt -1) 2))))
(* -1 (* (sqrt x) (* y (pow (sqrt -1) 2))))
(* -1 (* (sqrt x) (* y (pow (sqrt -1) 2))))
(* -3 (* (sqrt x) (* (pow (sqrt -1) 2) (- y 1))))
(* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1)))))))
(* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1)))))))
(* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1)))))))
(* 3 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* x (+ (* -3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))))))
(* -1 (* x (+ (* -3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))))))
(* -1 (* x (+ (* -3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))))))
-3
(- (* 1/3 (/ 1 x)) 3)
(- (* 1/3 (/ 1 x)) 3)
(- (* 1/3 (/ 1 x)) 3)
(/ 1/3 x)
(/ 1/3 x)
(/ 1/3 x)
(/ 1/3 x)
(* -3 (* (sqrt x) (* (pow (sqrt -1) 2) (- y 1))))
(* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1)))))))
(* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1)))))))
(* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1)))))))
(* -1 (* (sqrt x) (* (pow (sqrt -1) 2) (- y 1))))
(* -1 (* x (+ (* 1/9 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1))))))
(* -1 (* x (+ (* 1/9 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1))))))
(* -1 (* x (+ (* 1/9 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1))))))
(- y 1)
(- (+ y (* 1/9 (/ 1 x))) 1)
(- (+ y (* 1/9 (/ 1 x))) 1)
(- (+ y (* 1/9 (/ 1 x))) 1)
y
(+ y (* 1/9 (/ 1 x)))
(+ y (* 1/9 (/ 1 x)))
(+ y (* 1/9 (/ 1 x)))
(/ 1/9 x)
(/ 1/9 x)
(/ 1/9 x)
(/ 1/9 x)
(* -3 (* (sqrt x) (* (sqrt -1) (- y 1))))
(* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (sqrt -1))) (* 3 (* (sqrt (/ 1 x)) (* (sqrt -1) (- y 1)))))))
(* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (sqrt -1))) (* 3 (* (sqrt (/ 1 x)) (* (sqrt -1) (- y 1)))))))
(* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (sqrt -1))) (* 3 (* (sqrt (/ 1 x)) (* (sqrt -1) (- y 1)))))))
(* -3 (* (sqrt x) (sqrt -1)))
(* -3 (* (sqrt x) (sqrt -1)))
(* -3 (* (sqrt x) (sqrt -1)))
(* -3 (* (sqrt x) (sqrt -1)))
(* -1 (* (sqrt x) (sqrt -1)))
(* -1 (* (sqrt x) (sqrt -1)))
(* -1 (* (sqrt x) (sqrt -1)))
(* -1 (* (sqrt x) (sqrt -1)))
(- y 1)
(- (+ y (* 1/9 (/ 1 x))) 1)
(- (+ y (* 1/9 (/ 1 x))) 1)
(- (+ y (* 1/9 (/ 1 x))) 1)
(/ 1/9 x)
(/ 1/9 x)
(/ 1/9 x)
(/ 1/9 x)
Outputs
(* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1)))
(*.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 3 binary64)) (sqrt.f64 x))
(+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1))))
(*.f64 (sqrt.f64 x) (fma.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)))
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(/.f64 #s(literal 1/9 binary64) x)
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(/ 1/9 x)
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(* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1)))))))
(*.f64 (fma.f64 (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/3 binary64))) x)
(* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1)))))))
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(*.f64 (fma.f64 (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/3 binary64))) x)
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(* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1)))))))
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(* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1)))))))
(*.f64 (fma.f64 (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/3 binary64))) x)
(* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1)))))))
(*.f64 (fma.f64 (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/3 binary64))) x)
(* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1)))))))
(*.f64 (fma.f64 (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/3 binary64))) x)
(* 3 (* (sqrt x) (pow (sqrt -1) 2)))
(*.f64 #s(literal -3 binary64) (sqrt.f64 x))
(* -1 (* x (+ (* -3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))))))
(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -3 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/3 binary64))) x)
(* -1 (* x (+ (* -3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))))))
(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -3 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/3 binary64))) x)
(* -1 (* x (+ (* -3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))))))
(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -3 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/3 binary64))) x)
-3
#s(literal -3 binary64)
(- (* 1/3 (/ 1 x)) 3)
(-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 3 binary64))
(- (* 1/3 (/ 1 x)) 3)
(-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 3 binary64))
(- (* 1/3 (/ 1 x)) 3)
(-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 3 binary64))
(/ 1/3 x)
(/.f64 #s(literal 1/3 binary64) x)
(/ 1/3 x)
(/.f64 #s(literal 1/3 binary64) x)
(/ 1/3 x)
(/.f64 #s(literal 1/3 binary64) x)
(/ 1/3 x)
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(* -3 (* (sqrt x) (* (pow (sqrt -1) 2) (- y 1))))
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(* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1)))))))
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(* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1)))))))
(*.f64 (fma.f64 (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/3 binary64))) x)
(* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1)))))))
(*.f64 (fma.f64 (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/3 binary64))) x)
(* -1 (* (sqrt x) (* (pow (sqrt -1) 2) (- y 1))))
(*.f64 (-.f64 y #s(literal 1 binary64)) (sqrt.f64 x))
(* -1 (* x (+ (* 1/9 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1))))))
(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/9 binary64) (*.f64 (-.f64 y #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) x)
(* -1 (* x (+ (* 1/9 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1))))))
(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/9 binary64) (*.f64 (-.f64 y #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) x)
(* -1 (* x (+ (* 1/9 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1))))))
(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/9 binary64) (*.f64 (-.f64 y #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) x)
(- y 1)
(-.f64 y #s(literal 1 binary64))
(- (+ y (* 1/9 (/ 1 x))) 1)
(-.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 1 binary64))
(- (+ y (* 1/9 (/ 1 x))) 1)
(-.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 1 binary64))
(- (+ y (* 1/9 (/ 1 x))) 1)
(-.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 1 binary64))
y
(+ y (* 1/9 (/ 1 x)))
(+.f64 y (/.f64 #s(literal 1/9 binary64) x))
(+ y (* 1/9 (/ 1 x)))
(+.f64 y (/.f64 #s(literal 1/9 binary64) x))
(+ y (* 1/9 (/ 1 x)))
(+.f64 y (/.f64 #s(literal 1/9 binary64) x))
(/ 1/9 x)
(/.f64 #s(literal 1/9 binary64) x)
(/ 1/9 x)
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(/ 1/9 x)
(/.f64 #s(literal 1/9 binary64) x)
(/ 1/9 x)
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(* -3 (* (sqrt x) (* (sqrt -1) (- y 1))))
(*.f64 (fma.f64 #s(literal -3 binary64) y #s(literal 3 binary64)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 x)))
(* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (sqrt -1))) (* 3 (* (sqrt (/ 1 x)) (* (sqrt -1) (- y 1)))))))
(*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (fma.f64 #s(literal -1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (*.f64 (fma.f64 #s(literal -3 binary64) y #s(literal 3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) x)
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(*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (fma.f64 #s(literal -1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (*.f64 (fma.f64 #s(literal -3 binary64) y #s(literal 3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) x)
(* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (sqrt -1))) (* 3 (* (sqrt (/ 1 x)) (* (sqrt -1) (- y 1)))))))
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(*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -3 binary64)) (sqrt.f64 x))
(* -3 (* (sqrt x) (sqrt -1)))
(*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -3 binary64)) (sqrt.f64 x))
(* -3 (* (sqrt x) (sqrt -1)))
(*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -3 binary64)) (sqrt.f64 x))
(* -1 (* (sqrt x) (sqrt -1)))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (neg.f64 (sqrt.f64 x)))
(* -1 (* (sqrt x) (sqrt -1)))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (neg.f64 (sqrt.f64 x)))
(* -1 (* (sqrt x) (sqrt -1)))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (neg.f64 (sqrt.f64 x)))
(* -1 (* (sqrt x) (sqrt -1)))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (neg.f64 (sqrt.f64 x)))
(- y 1)
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(-.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 1 binary64))
(- (+ y (* 1/9 (/ 1 x))) 1)
(-.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 1 binary64))
(/ 1/9 x)
(/.f64 #s(literal 1/9 binary64) x)
(/ 1/9 x)
(/.f64 #s(literal 1/9 binary64) x)
(/ 1/9 x)
(/.f64 #s(literal 1/9 binary64) x)
(/ 1/9 x)
(/.f64 #s(literal 1/9 binary64) x)

rewrite129.0ms (1.7%)

Memory
24.4MiB live, 143.9MiB allocated
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
045175
070172
1232152
21870152
08258152
Stop Event
iter limit
node limit
iter limit
Counts
21 → 596
Calls
Call 1
Inputs
(/.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -9 binary64))
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -9 binary64))) #s(literal 1 binary64)))
(*.f64 #s(literal 3 binary64) (sqrt.f64 x))
(sqrt.f64 x)
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64)))
(*.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64))
(*.f64 y (sqrt.f64 x))
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64)) (sqrt.f64 x)))
(*.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64)) (sqrt.f64 x))
(+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64))
(/.f64 #s(literal 1/3 binary64) x)
(*.f64 (*.f64 (-.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 1 binary64)) (sqrt.f64 x)) #s(literal 3 binary64))
(*.f64 (-.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 1 binary64)) (sqrt.f64 x))
(-.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 1 binary64))
(+.f64 y (/.f64 #s(literal 1/9 binary64) x))
(/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))
(*.f64 (*.f64 #s(literal 3 binary64) (pow.f64 (*.f64 x x) #s(literal 1/4 binary64))) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64)))
(*.f64 #s(literal 3 binary64) (pow.f64 (*.f64 x x) #s(literal 1/4 binary64)))
(pow.f64 (*.f64 x x) #s(literal 1/4 binary64))
(-.f64 (+.f64 y (/.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -9 binary64))) #s(literal 1 binary64))
(/.f64 #s(literal 1/9 binary64) x)
Outputs
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eval208.0ms (2.8%)

Memory
1.8MiB live, 199.5MiB allocated
Compiler

Compiled 20 067 to 1 814 computations (91% saved)

prune150.0ms (2%)

Memory
-18.6MiB live, 73.0MiB allocated
Pruning

29 alts after pruning (25 fresh and 4 done)

PrunedKeptTotal
New1 038241 062
Fresh13114
Picked235
Done011
Total1 053291 082
Accuracy
100.0%
Counts
1 082 → 29
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.2%
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (*.f64 (pow.f64 x #s(literal 1/4 binary64)) (fma.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 3 binary64) #s(literal -3 binary64))))
99.5%
(*.f64 (*.f64 (-.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 1 binary64)) (sqrt.f64 x)) #s(literal 3 binary64))
99.5%
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64)))
33.0%
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) #s(approx (- (+ y (/ (/ -1 x) -9)) 1) (/.f64 #s(literal 1/9 binary64) x)))
67.3%
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) #s(approx (- (+ y (/ (/ -1 x) -9)) 1) (-.f64 y #s(literal 1 binary64))))
68.8%
(*.f64 #s(approx (* (- (+ y (/ 1/9 x)) 1) (sqrt x)) (*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/9 binary64) (*.f64 (-.f64 y #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) x)) #s(literal 3 binary64))
33.1%
(*.f64 #s(approx (* (- (+ y (/ 1/9 x)) 1) (sqrt x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/9 binary64))) #s(literal 3 binary64))
68.7%
#s(approx (* (* (- (+ y (/ 1/9 x)) 1) (sqrt x)) 3) (*.f64 (fma.f64 (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/3 binary64))) x))
67.3%
#s(approx (* (* (- (+ y (/ 1/9 x)) 1) (sqrt x)) 3) (*.f64 (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 x)))
33.1%
#s(approx (* (* (- (+ y (/ 1/9 x)) 1) (sqrt x)) 3) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64)))
99.4%
#s(approx (* (* (- (+ y (/ 1/9 x)) 1) (sqrt x)) 3) (*.f64 (sqrt.f64 x) (fma.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))))
62.0%
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (fma.f64 (sqrt.f64 x) #s(literal -3 binary64) (*.f64 (sqrt.f64 x) (/.f64 #s(literal 1/3 binary64) x))))
43.8%
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (/.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/9 binary64) #s(literal -9 binary64)) (sqrt.f64 x)) (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64))))
61.9%
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (/.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)))))
43.7%
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64)) (*.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/9 binary64) #s(literal -9 binary64)) (sqrt.f64 x)))))
62.0%
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (fma.f64 #s(literal -1/3 binary64) (/.f64 #s(literal -1 binary64) x) #s(literal -3 binary64)) (sqrt.f64 x)))
62.0%
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 3 binary64))) #s(literal -3 binary64)) (sqrt.f64 x)))
32.0%
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64)) (pow.f64 (*.f64 x x) #s(literal 1/4 binary64))))
62.0%
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64)) (sqrt.f64 x)))
43.7%
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/9 binary64) #s(literal -9 binary64)) (sqrt.f64 x)) (pow.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64)) #s(literal -1 binary64))))
39.5%
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) y))
43.8%
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/9 binary64) #s(literal -9 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64))))) (sqrt.f64 x)))
28.6%
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 y (pow.f64 (*.f64 x x) #s(literal 1/4 binary64))) #s(literal 3 binary64)))
39.5%
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64)))
39.5%
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 y #s(literal 3 binary64)) (sqrt.f64 x)))
61.9%
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 #s(approx (+ (/ 1/3 x) -3) (/.f64 (fma.f64 #s(literal -3 binary64) x #s(literal 1/3 binary64)) x)) (sqrt.f64 x)))
33.1%
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 #s(approx (+ (/ 1/3 x) -3) (/.f64 #s(literal 1/3 binary64) x)) (sqrt.f64 x)))
30.0%
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 #s(approx (+ (/ 1/3 x) -3) #s(literal -3 binary64)) (sqrt.f64 x)))
46.9%
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) #s(approx (* (+ (/ 1/3 x) -3) (sqrt x)) (/.f64 (fma.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) #s(literal -3 binary64) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) x)))
Compiler

Compiled 644 to 599 computations (7% saved)

simplify268.0ms (3.6%)

Memory
-20.6MiB live, 18.8MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/9 binary64) #s(literal -9 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64))))) (sqrt.f64 x)))
cost-diff128
(neg.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64)))
cost-diff128
(neg.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/9 binary64) #s(literal -9 binary64)))
cost-diff320
(*.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/9 binary64) #s(literal -9 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64)))))
cost-diff0
(*.f64 (sqrt.f64 x) (/.f64 #s(literal 1/3 binary64) x))
cost-diff0
(sqrt.f64 x)
cost-diff0
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (fma.f64 (sqrt.f64 x) #s(literal -3 binary64) (*.f64 (sqrt.f64 x) (/.f64 #s(literal 1/3 binary64) x))))
cost-diff832
(fma.f64 (sqrt.f64 x) #s(literal -3 binary64) (*.f64 (sqrt.f64 x) (/.f64 #s(literal 1/3 binary64) x)))
cost-diff0
(/.f64 #s(literal 1 binary64) x)
cost-diff0
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
cost-diff0
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64))
cost-diff0
#s(approx (* (* (- (+ y (/ 1/9 x)) 1) (sqrt x)) 3) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64)))
cost-diff0
(sqrt.f64 x)
cost-diff0
#s(approx (+ (/ 1/3 x) -3) #s(literal -3 binary64))
cost-diff0
(*.f64 #s(approx (+ (/ 1/3 x) -3) #s(literal -3 binary64)) (sqrt.f64 x))
cost-diff0
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 #s(approx (+ (/ 1/3 x) -3) #s(literal -3 binary64)) (sqrt.f64 x)))
cost-diff0
(fma.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))
cost-diff0
(sqrt.f64 x)
cost-diff0
(*.f64 (sqrt.f64 x) (fma.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)))
cost-diff0
#s(approx (* (* (- (+ y (/ 1/9 x)) 1) (sqrt x)) 3) (*.f64 (sqrt.f64 x) (fma.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
049302
072298
1135285
2309278
3894273
42292273
53968273
65332273
76587273
87467273
97885273
107951273
117985273
127994273
08060272
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
#s(approx (* (* (- (+ y (/ 1/9 x)) 1) (sqrt x)) 3) (*.f64 (sqrt.f64 x) (fma.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))))
(*.f64 (sqrt.f64 x) (fma.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)))
(sqrt.f64 x)
x
(fma.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))
(-.f64 #s(literal 1 binary64) y)
#s(literal 1 binary64)
y
#s(literal -3 binary64)
(/.f64 #s(literal 1/3 binary64) x)
#s(literal 1/3 binary64)
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 #s(approx (+ (/ 1/3 x) -3) #s(literal -3 binary64)) (sqrt.f64 x)))
(*.f64 #s(approx (+ (/ 1/3 x) -3) #s(literal -3 binary64)) (sqrt.f64 x))
#s(approx (+ (/ 1/3 x) -3) #s(literal -3 binary64))
#s(literal -3 binary64)
(sqrt.f64 x)
x
#s(approx (* (* (- (+ y (/ 1/9 x)) 1) (sqrt x)) 3) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
#s(literal 1/3 binary64)
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (fma.f64 (sqrt.f64 x) #s(literal -3 binary64) (*.f64 (sqrt.f64 x) (/.f64 #s(literal 1/3 binary64) x))))
(fma.f64 (sqrt.f64 x) #s(literal -3 binary64) (*.f64 (sqrt.f64 x) (/.f64 #s(literal 1/3 binary64) x)))
(sqrt.f64 x)
x
#s(literal -3 binary64)
(*.f64 (sqrt.f64 x) (/.f64 #s(literal 1/3 binary64) x))
(/.f64 #s(literal 1/3 binary64) x)
#s(literal 1/3 binary64)
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/9 binary64) #s(literal -9 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64))))) (sqrt.f64 x)))
(*.f64 (*.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/9 binary64) #s(literal -9 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64))))) (sqrt.f64 x))
(*.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/9 binary64) #s(literal -9 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64)))))
(neg.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/9 binary64) #s(literal -9 binary64)))
(fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/9 binary64) #s(literal -9 binary64))
(pow.f64 x #s(literal -2 binary64))
x
#s(literal -2 binary64)
#s(literal 1/9 binary64)
#s(literal -9 binary64)
(/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64))))
#s(literal 1 binary64)
(neg.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64)))
(-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64))
(/.f64 #s(literal 1/3 binary64) x)
#s(literal 1/3 binary64)
#s(literal -3 binary64)
(sqrt.f64 x)
Outputs
#s(approx (* (* (- (+ y (/ 1/9 x)) 1) (sqrt x)) 3) (*.f64 (sqrt.f64 x) (fma.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))))
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) #s(literal 3 binary64) (/.f64 #s(literal 1/3 binary64) x)) (sqrt.f64 x)))
(*.f64 (sqrt.f64 x) (fma.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)))
(*.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) #s(literal 3 binary64) (/.f64 #s(literal 1/3 binary64) x)) (sqrt.f64 x))
(sqrt.f64 x)
x
(fma.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))
(fma.f64 (-.f64 y #s(literal 1 binary64)) #s(literal 3 binary64) (/.f64 #s(literal 1/3 binary64) x))
(-.f64 #s(literal 1 binary64) y)
#s(literal 1 binary64)
y
#s(literal -3 binary64)
(/.f64 #s(literal 1/3 binary64) x)
#s(literal 1/3 binary64)
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 #s(approx (+ (/ 1/3 x) -3) #s(literal -3 binary64)) (sqrt.f64 x)))
(*.f64 #s(approx (+ (/ 1/3 x) -3) #s(literal -3 binary64)) (sqrt.f64 x))
#s(approx (+ (/ 1/3 x) -3) #s(literal -3 binary64))
#s(literal -3 binary64)
(sqrt.f64 x)
x
#s(approx (* (* (- (+ y (/ 1/9 x)) 1) (sqrt x)) 3) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64)))
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
#s(literal 1/3 binary64)
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (fma.f64 (sqrt.f64 x) #s(literal -3 binary64) (*.f64 (sqrt.f64 x) (/.f64 #s(literal 1/3 binary64) x))))
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 3 binary64)) (sqrt.f64 x)))
(fma.f64 (sqrt.f64 x) #s(literal -3 binary64) (*.f64 (sqrt.f64 x) (/.f64 #s(literal 1/3 binary64) x)))
(*.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 3 binary64)) (sqrt.f64 x))
(sqrt.f64 x)
x
#s(literal -3 binary64)
(*.f64 (sqrt.f64 x) (/.f64 #s(literal 1/3 binary64) x))
(/.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) x)
(/.f64 #s(literal 1/3 binary64) x)
#s(literal 1/3 binary64)
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/9 binary64) #s(literal -9 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64))))) (sqrt.f64 x)))
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (/.f64 (fma.f64 #s(literal -1/9 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal 9 binary64)) (-.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))) (sqrt.f64 x)))
(*.f64 (*.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/9 binary64) #s(literal -9 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64))))) (sqrt.f64 x))
(*.f64 (/.f64 (fma.f64 #s(literal -1/9 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal 9 binary64)) (-.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))) (sqrt.f64 x))
(*.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/9 binary64) #s(literal -9 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64)))))
(/.f64 (fma.f64 #s(literal -1/9 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal 9 binary64)) (-.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)))
(neg.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/9 binary64) #s(literal -9 binary64)))
(fma.f64 #s(literal -1/9 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal 9 binary64))
(fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/9 binary64) #s(literal -9 binary64))
(pow.f64 x #s(literal -2 binary64))
x
#s(literal -2 binary64)
#s(literal 1/9 binary64)
#s(literal -9 binary64)
(/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64))))
(/.f64 #s(literal -1 binary64) (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64)))
#s(literal 1 binary64)
(neg.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64)))
(-.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))
(-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64))
(/.f64 #s(literal 1/3 binary64) x)
#s(literal 1/3 binary64)
#s(literal -3 binary64)
(sqrt.f64 x)

localize210.0ms (2.8%)

Memory
19.2MiB live, 56.9MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.3515625
(*.f64 (*.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/9 binary64) #s(literal -9 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64))))) (sqrt.f64 x))
accuracy0.37109375
(/.f64 #s(literal 1/3 binary64) x)
accuracy13.81272585679808
(*.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/9 binary64) #s(literal -9 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64)))))
accuracy24.102749879001937
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/9 binary64) #s(literal -9 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64))))) (sqrt.f64 x)))
accuracy0.1484375
(fma.f64 (sqrt.f64 x) #s(literal -3 binary64) (*.f64 (sqrt.f64 x) (/.f64 #s(literal 1/3 binary64) x)))
accuracy0.32650375976844204
(*.f64 (sqrt.f64 x) (/.f64 #s(literal 1/3 binary64) x))
accuracy0.37109375
(/.f64 #s(literal 1/3 binary64) x)
accuracy24.102749879001937
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (fma.f64 (sqrt.f64 x) #s(literal -3 binary64) (*.f64 (sqrt.f64 x) (/.f64 #s(literal 1/3 binary64) x))))
accuracy0
(/.f64 #s(literal 1 binary64) x)
accuracy0.15625
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
accuracy0.42578125
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64))
accuracy42.70119892952992
#s(approx (* (* (- (+ y (/ 1/9 x)) 1) (sqrt x)) 3) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64)))
accuracy0
(sqrt.f64 x)
accuracy0.3515625
(*.f64 #s(approx (+ (/ 1/3 x) -3) #s(literal -3 binary64)) (sqrt.f64 x))
accuracy24.102749879001937
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 #s(approx (+ (/ 1/3 x) -3) #s(literal -3 binary64)) (sqrt.f64 x)))
accuracy28.675216256067266
#s(approx (+ (/ 1/3 x) -3) #s(literal -3 binary64))
accuracy0
#s(approx (* (* (- (+ y (/ 1/9 x)) 1) (sqrt x)) 3) (*.f64 (sqrt.f64 x) (fma.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))))
accuracy0.109375
(fma.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))
accuracy0.296875
(*.f64 (sqrt.f64 x) (fma.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)))
accuracy0.37109375
(/.f64 #s(literal 1/3 binary64) x)
Samples
58.0ms194×0valid
25.0ms42×1valid
15.0ms20×2valid
Compiler

Compiled 467 to 79 computations (83.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 73.0ms
ival-mult: 23.0ms (31.4% of total)
ival-div: 10.0ms (13.7% of total)
const: 9.0ms (12.3% of total)
ival-add: 9.0ms (12.3% of total)
adjust: 6.0ms (8.2% of total)
ival-sub: 6.0ms (8.2% of total)
ival-sqrt: 4.0ms (5.5% of total)
ival-pow: 3.0ms (4.1% of total)
ival-neg: 2.0ms (2.7% of total)
exact: 1.0ms (1.4% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series26.0ms (0.3%)

Memory
13.6MiB live, 13.6MiB allocated
Counts
20 → 324
Calls
Call 1
Inputs
#s(alt #s(approx (* (* (- (+ y (/ 1/9 x)) 1) (sqrt x)) 3) (*.f64 (sqrt.f64 x) (fma.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)))) (patch #s(approx (* (* (- (+ y (/ 1/9 x)) 1) (sqrt x)) 3) (*.f64 (sqrt.f64 x) (fma.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)))) #<representation binary64>) () ())
#s(alt (*.f64 (sqrt.f64 x) (fma.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))) (patch (*.f64 (sqrt.f64 x) (fma.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))) #<representation binary64>) () ())
#s(alt (sqrt.f64 x) (patch (sqrt.f64 x) #<representation binary64>) () ())
#s(alt (fma.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)) (patch (fma.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)) #<representation binary64>) () ())
#s(alt #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 #s(approx (+ (/ 1/3 x) -3) #s(literal -3 binary64)) (sqrt.f64 x))) (patch #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 #s(approx (+ (/ 1/3 x) -3) #s(literal -3 binary64)) (sqrt.f64 x))) #<representation binary64>) () ())
#s(alt (*.f64 #s(approx (+ (/ 1/3 x) -3) #s(literal -3 binary64)) (sqrt.f64 x)) (patch (*.f64 #s(approx (+ (/ 1/3 x) -3) #s(literal -3 binary64)) (sqrt.f64 x)) #<representation binary64>) () ())
#s(alt #s(approx (+ (/ 1/3 x) -3) #s(literal -3 binary64)) (patch #s(approx (+ (/ 1/3 x) -3) #s(literal -3 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (* (* (- (+ y (/ 1/9 x)) 1) (sqrt x)) 3) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64))) (patch #s(approx (* (* (- (+ y (/ 1/9 x)) 1) (sqrt x)) 3) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64))) #<representation binary64>) () ())
#s(alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64)) (patch (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64)) #<representation binary64>) () ())
#s(alt (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (patch (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) x) (patch (/.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())
#s(alt (fma.f64 (sqrt.f64 x) #s(literal -3 binary64) (*.f64 (sqrt.f64 x) (/.f64 #s(literal 1/3 binary64) x))) (patch (fma.f64 (sqrt.f64 x) #s(literal -3 binary64) (*.f64 (sqrt.f64 x) (/.f64 #s(literal 1/3 binary64) x))) #<representation binary64>) () ())
#s(alt #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (fma.f64 (sqrt.f64 x) #s(literal -3 binary64) (*.f64 (sqrt.f64 x) (/.f64 #s(literal 1/3 binary64) x)))) (patch #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (fma.f64 (sqrt.f64 x) #s(literal -3 binary64) (*.f64 (sqrt.f64 x) (/.f64 #s(literal 1/3 binary64) x)))) #<representation binary64>) () ())
#s(alt (*.f64 (sqrt.f64 x) (/.f64 #s(literal 1/3 binary64) x)) (patch (*.f64 (sqrt.f64 x) (/.f64 #s(literal 1/3 binary64) x)) #<representation binary64>) () ())
#s(alt (*.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/9 binary64) #s(literal -9 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64))))) (patch (*.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/9 binary64) #s(literal -9 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64))))) #<representation binary64>) () ())
#s(alt (neg.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/9 binary64) #s(literal -9 binary64))) (patch (neg.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/9 binary64) #s(literal -9 binary64))) #<representation binary64>) () ())
#s(alt (neg.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64))) (patch (neg.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64))) #<representation binary64>) () ())
#s(alt #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/9 binary64) #s(literal -9 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64))))) (sqrt.f64 x))) (patch #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/9 binary64) #s(literal -9 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64))))) (sqrt.f64 x))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1/3 binary64) x) (patch (/.f64 #s(literal 1/3 binary64) x) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/9 binary64) #s(literal -9 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64))))) (sqrt.f64 x)) (patch (*.f64 (*.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/9 binary64) #s(literal -9 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64))))) (sqrt.f64 x)) #<representation binary64>) () ())
Outputs
#s(alt (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1))) (taylor 0 y) (#s(alt #s(approx (* (* (- (+ y (/ 1/9 x)) 1) (sqrt x)) 3) (*.f64 (sqrt.f64 x) (fma.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)))) (patch #s(approx (* (* (- (+ y (/ 1/9 x)) 1) (sqrt x)) 3) (*.f64 (sqrt.f64 x) (fma.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)))) #<representation binary64>) () ())) ())
#s(alt (+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1)))) (taylor 0 y) (#s(alt #s(approx (* (* (- (+ y (/ 1/9 x)) 1) (sqrt x)) 3) (*.f64 (sqrt.f64 x) (fma.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)))) (patch #s(approx (* (* (- (+ y (/ 1/9 x)) 1) (sqrt x)) 3) (*.f64 (sqrt.f64 x) (fma.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)))) #<representation binary64>) () ())) ())
#s(alt (+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1)))) (taylor 0 y) (#s(alt #s(approx (* (* (- (+ y (/ 1/9 x)) 1) (sqrt x)) 3) (*.f64 (sqrt.f64 x) (fma.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)))) (patch #s(approx (* (* (- (+ y (/ 1/9 x)) 1) (sqrt x)) 3) (*.f64 (sqrt.f64 x) (fma.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)))) #<representation binary64>) () ())) ())
#s(alt (+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1)))) (taylor 0 y) (#s(alt #s(approx (* (* (- (+ y (/ 1/9 x)) 1) (sqrt x)) 3) (*.f64 (sqrt.f64 x) (fma.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)))) (patch #s(approx (* (* (- (+ y (/ 1/9 x)) 1) (sqrt x)) 3) (*.f64 (sqrt.f64 x) (fma.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)))) #<representation binary64>) () ())) ())
#s(alt (* (sqrt x) (- (* 1/3 (/ 1 x)) 3)) (taylor 0 y) (#s(alt (*.f64 (sqrt.f64 x) (fma.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))) (patch (*.f64 (sqrt.f64 x) (fma.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))) #<representation binary64>) () ())) ())
#s(alt (+ (* 3 (* (sqrt x) y)) (* (sqrt x) (- (* 1/3 (/ 1 x)) 3))) (taylor 0 y) (#s(alt (*.f64 (sqrt.f64 x) (fma.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))) (patch (*.f64 (sqrt.f64 x) (fma.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))) #<representation binary64>) () ())) ())
#s(alt (+ (* 3 (* (sqrt x) y)) (* (sqrt x) (- (* 1/3 (/ 1 x)) 3))) (taylor 0 y) (#s(alt (*.f64 (sqrt.f64 x) (fma.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))) (patch (*.f64 (sqrt.f64 x) (fma.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))) #<representation binary64>) () ())) ())
#s(alt (+ (* 3 (* (sqrt x) y)) (* (sqrt x) (- (* 1/3 (/ 1 x)) 3))) (taylor 0 y) (#s(alt (*.f64 (sqrt.f64 x) (fma.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))) (patch (*.f64 (sqrt.f64 x) (fma.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))) #<representation binary64>) () ())) ())
#s(alt (- (* 1/3 (/ 1 x)) 3) (taylor 0 y) (#s(alt (fma.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)) (patch (fma.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (- (+ (* 1/3 (/ 1 x)) (* 3 y)) 3) (taylor 0 y) (#s(alt (fma.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)) (patch (fma.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)) #<representation binary64>) () ())) ())
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#s(alt (* -3 (* (sqrt x) (* (pow (sqrt -1) 2) (- y 1)))) (taylor -inf x) (#s(alt #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/9 binary64) #s(literal -9 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64))))) (sqrt.f64 x))) (patch #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/9 binary64) #s(literal -9 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64))))) (sqrt.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1))))))) (taylor -inf x) (#s(alt #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/9 binary64) #s(literal -9 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64))))) (sqrt.f64 x))) (patch #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/9 binary64) #s(literal -9 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64))))) (sqrt.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1))))))) (taylor -inf x) (#s(alt #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/9 binary64) #s(literal -9 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64))))) (sqrt.f64 x))) (patch #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/9 binary64) #s(literal -9 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64))))) (sqrt.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1))))))) (taylor -inf x) (#s(alt #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/9 binary64) #s(literal -9 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64))))) (sqrt.f64 x))) (patch #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/9 binary64) #s(literal -9 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64))))) (sqrt.f64 x))) #<representation binary64>) () ())) ())
#s(alt (/ 1/3 x) (taylor -inf x) (#s(alt (/.f64 #s(literal 1/3 binary64) x) (patch (/.f64 #s(literal 1/3 binary64) x) #<representation binary64>) () ())) ())
#s(alt (/ 1/3 x) (taylor -inf x) (#s(alt (/.f64 #s(literal 1/3 binary64) x) (patch (/.f64 #s(literal 1/3 binary64) x) #<representation binary64>) () ())) ())
#s(alt (/ 1/3 x) (taylor -inf x) (#s(alt (/.f64 #s(literal 1/3 binary64) x) (patch (/.f64 #s(literal 1/3 binary64) x) #<representation binary64>) () ())) ())
#s(alt (/ 1/3 x) (taylor -inf x) (#s(alt (/.f64 #s(literal 1/3 binary64) x) (patch (/.f64 #s(literal 1/3 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* 3 (* (sqrt x) (pow (sqrt -1) 2))) (taylor -inf x) (#s(alt (*.f64 (*.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/9 binary64) #s(literal -9 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64))))) (sqrt.f64 x)) (patch (*.f64 (*.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/9 binary64) #s(literal -9 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64))))) (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))))) (taylor -inf x) (#s(alt (*.f64 (*.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/9 binary64) #s(literal -9 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64))))) (sqrt.f64 x)) (patch (*.f64 (*.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/9 binary64) #s(literal -9 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64))))) (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))))) (taylor -inf x) (#s(alt (*.f64 (*.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/9 binary64) #s(literal -9 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64))))) (sqrt.f64 x)) (patch (*.f64 (*.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/9 binary64) #s(literal -9 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64))))) (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))))) (taylor -inf x) (#s(alt (*.f64 (*.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/9 binary64) #s(literal -9 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64))))) (sqrt.f64 x)) (patch (*.f64 (*.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/9 binary64) #s(literal -9 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64))))) (sqrt.f64 x)) #<representation binary64>) () ())) ())
Calls

6 calls:

TimeVariablePointExpression
4.0ms
x
@-inf
((* (* (- (+ y (/ 1/9 x)) 1) (sqrt x)) 3) (* (sqrt x) (+ (* (- 1 y) -3) (/ 1/3 x))) (sqrt x) (+ (* (- 1 y) -3) (/ 1/3 x)) (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (* (+ (/ 1/3 x) -3) (sqrt x)) (+ (/ 1/3 x) -3) (* (* (- (+ y (/ 1/9 x)) 1) (sqrt x)) 3) (* (sqrt (/ 1 x)) 1/3) (sqrt (/ 1 x)) (/ 1 x) (+ (* (sqrt x) -3) (* (sqrt x) (/ 1/3 x))) (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (* (sqrt x) (/ 1/3 x)) (* (neg (+ (* (pow x -2) 1/9) -9)) (/ 1 (neg (- (/ 1/3 x) -3)))) (neg (+ (* (pow x -2) 1/9) -9)) (neg (- (/ 1/3 x) -3)) (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (/ 1/3 x) (* (* (neg (+ (* (pow x -2) 1/9) -9)) (/ 1 (neg (- (/ 1/3 x) -3)))) (sqrt x)))
3.0ms
x
@0
((* (* (- (+ y (/ 1/9 x)) 1) (sqrt x)) 3) (* (sqrt x) (+ (* (- 1 y) -3) (/ 1/3 x))) (sqrt x) (+ (* (- 1 y) -3) (/ 1/3 x)) (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (* (+ (/ 1/3 x) -3) (sqrt x)) (+ (/ 1/3 x) -3) (* (* (- (+ y (/ 1/9 x)) 1) (sqrt x)) 3) (* (sqrt (/ 1 x)) 1/3) (sqrt (/ 1 x)) (/ 1 x) (+ (* (sqrt x) -3) (* (sqrt x) (/ 1/3 x))) (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (* (sqrt x) (/ 1/3 x)) (* (neg (+ (* (pow x -2) 1/9) -9)) (/ 1 (neg (- (/ 1/3 x) -3)))) (neg (+ (* (pow x -2) 1/9) -9)) (neg (- (/ 1/3 x) -3)) (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (/ 1/3 x) (* (* (neg (+ (* (pow x -2) 1/9) -9)) (/ 1 (neg (- (/ 1/3 x) -3)))) (sqrt x)))
2.0ms
x
@inf
((* (* (- (+ y (/ 1/9 x)) 1) (sqrt x)) 3) (* (sqrt x) (+ (* (- 1 y) -3) (/ 1/3 x))) (sqrt x) (+ (* (- 1 y) -3) (/ 1/3 x)) (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (* (+ (/ 1/3 x) -3) (sqrt x)) (+ (/ 1/3 x) -3) (* (* (- (+ y (/ 1/9 x)) 1) (sqrt x)) 3) (* (sqrt (/ 1 x)) 1/3) (sqrt (/ 1 x)) (/ 1 x) (+ (* (sqrt x) -3) (* (sqrt x) (/ 1/3 x))) (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (* (sqrt x) (/ 1/3 x)) (* (neg (+ (* (pow x -2) 1/9) -9)) (/ 1 (neg (- (/ 1/3 x) -3)))) (neg (+ (* (pow x -2) 1/9) -9)) (neg (- (/ 1/3 x) -3)) (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (/ 1/3 x) (* (* (neg (+ (* (pow x -2) 1/9) -9)) (/ 1 (neg (- (/ 1/3 x) -3)))) (sqrt x)))
1.0ms
y
@0
((* (* (- (+ y (/ 1/9 x)) 1) (sqrt x)) 3) (* (sqrt x) (+ (* (- 1 y) -3) (/ 1/3 x))) (sqrt x) (+ (* (- 1 y) -3) (/ 1/3 x)) (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (* (+ (/ 1/3 x) -3) (sqrt x)) (+ (/ 1/3 x) -3) (* (* (- (+ y (/ 1/9 x)) 1) (sqrt x)) 3) (* (sqrt (/ 1 x)) 1/3) (sqrt (/ 1 x)) (/ 1 x) (+ (* (sqrt x) -3) (* (sqrt x) (/ 1/3 x))) (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (* (sqrt x) (/ 1/3 x)) (* (neg (+ (* (pow x -2) 1/9) -9)) (/ 1 (neg (- (/ 1/3 x) -3)))) (neg (+ (* (pow x -2) 1/9) -9)) (neg (- (/ 1/3 x) -3)) (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (/ 1/3 x) (* (* (neg (+ (* (pow x -2) 1/9) -9)) (/ 1 (neg (- (/ 1/3 x) -3)))) (sqrt x)))
1.0ms
y
@-inf
((* (* (- (+ y (/ 1/9 x)) 1) (sqrt x)) 3) (* (sqrt x) (+ (* (- 1 y) -3) (/ 1/3 x))) (sqrt x) (+ (* (- 1 y) -3) (/ 1/3 x)) (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (* (+ (/ 1/3 x) -3) (sqrt x)) (+ (/ 1/3 x) -3) (* (* (- (+ y (/ 1/9 x)) 1) (sqrt x)) 3) (* (sqrt (/ 1 x)) 1/3) (sqrt (/ 1 x)) (/ 1 x) (+ (* (sqrt x) -3) (* (sqrt x) (/ 1/3 x))) (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (* (sqrt x) (/ 1/3 x)) (* (neg (+ (* (pow x -2) 1/9) -9)) (/ 1 (neg (- (/ 1/3 x) -3)))) (neg (+ (* (pow x -2) 1/9) -9)) (neg (- (/ 1/3 x) -3)) (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (/ 1/3 x) (* (* (neg (+ (* (pow x -2) 1/9) -9)) (/ 1 (neg (- (/ 1/3 x) -3)))) (sqrt x)))

simplify185.0ms (2.5%)

Memory
-28.3MiB live, 89.4MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01473407
14073213
213263155
341343143
082002913
Stop Event
iter limit
node limit
Counts
324 → 324
Calls
Call 1
Inputs
(* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1)))
(+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1))))
(+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1))))
(+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1))))
(* (sqrt x) (- (* 1/3 (/ 1 x)) 3))
(+ (* 3 (* (sqrt x) y)) (* (sqrt x) (- (* 1/3 (/ 1 x)) 3)))
(+ (* 3 (* (sqrt x) y)) (* (sqrt x) (- (* 1/3 (/ 1 x)) 3)))
(+ (* 3 (* (sqrt x) y)) (* (sqrt x) (- (* 1/3 (/ 1 x)) 3)))
(- (* 1/3 (/ 1 x)) 3)
(- (+ (* 1/3 (/ 1 x)) (* 3 y)) 3)
(- (+ (* 1/3 (/ 1 x)) (* 3 y)) 3)
(- (+ (* 1/3 (/ 1 x)) (* 3 y)) 3)
(* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1)))
(+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1))))
(+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1))))
(+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1))))
(* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1)))
(+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1))))
(+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1))))
(+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1))))
(* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1)))
(+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1))))
(+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1))))
(+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1))))
(* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1)))
(+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1))))
(+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1))))
(+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1))))
(* 3 (* (sqrt x) y))
(* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))
(* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))
(* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))
(* 3 (* (sqrt x) y))
(* y (+ (* 3 (sqrt x)) (* (sqrt x) (/ (- (* 1/3 (/ 1 x)) 3) y))))
(* y (+ (* 3 (sqrt x)) (* (sqrt x) (/ (- (* 1/3 (/ 1 x)) 3) y))))
(* y (+ (* 3 (sqrt x)) (* (sqrt x) (/ (- (* 1/3 (/ 1 x)) 3) y))))
(* 3 y)
(* y (- (+ 3 (/ 1/3 (* x y))) (* 3 (/ 1 y))))
(* y (- (+ 3 (/ 1/3 (* x y))) (* 3 (/ 1 y))))
(* y (- (+ 3 (/ 1/3 (* x y))) (* 3 (/ 1 y))))
(* 3 (* (sqrt x) y))
(* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))
(* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))
(* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))
(* 3 (* (sqrt x) y))
(* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))
(* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))
(* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))
(* 3 (* (sqrt x) y))
(* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))
(* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))
(* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))
(* 3 (* (sqrt x) y))
(* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))
(* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))
(* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))
(* 3 (* (sqrt x) y))
(* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))))
(* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))))
(* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))))
(* 3 (* (sqrt x) y))
(* -1 (* y (+ (* -3 (sqrt x)) (* -1 (* (sqrt x) (/ (- (* 1/3 (/ 1 x)) 3) y))))))
(* -1 (* y (+ (* -3 (sqrt x)) (* -1 (* (sqrt x) (/ (- (* 1/3 (/ 1 x)) 3) y))))))
(* -1 (* y (+ (* -3 (sqrt x)) (* -1 (* (sqrt x) (/ (- (* 1/3 (/ 1 x)) 3) y))))))
(* 3 y)
(* -1 (* y (- (* -1 (/ (- (* 1/3 (/ 1 x)) 3) y)) 3)))
(* -1 (* y (- (* -1 (/ (- (* 1/3 (/ 1 x)) 3) y)) 3)))
(* -1 (* y (- (* -1 (/ (- (* 1/3 (/ 1 x)) 3) y)) 3)))
(* 3 (* (sqrt x) y))
(* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))))
(* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))))
(* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))))
(* 3 (* (sqrt x) y))
(* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))))
(* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))))
(* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))))
(* 3 (* (sqrt x) y))
(* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))))
(* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))))
(* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))))
(* 3 (* (sqrt x) y))
(* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))))
(* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))))
(* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))))
(* 1/3 (sqrt (/ 1 x)))
(/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) (- y 1)))) x)
(/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) (- y 1)))) x)
(/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) (- y 1)))) x)
(* 1/3 (sqrt (/ 1 x)))
(/ (+ (* -3 (* (sqrt (pow x 3)) (- 1 y))) (* 1/3 (sqrt x))) x)
(/ (+ (* -3 (* (sqrt (pow x 3)) (- 1 y))) (* 1/3 (sqrt x))) x)
(/ (+ (* -3 (* (sqrt (pow x 3)) (- 1 y))) (* 1/3 (sqrt x))) x)
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(/ 1/3 x)
(/ (+ 1/3 (* -3 (* x (- 1 y)))) x)
(/ (+ 1/3 (* -3 (* x (- 1 y)))) x)
(/ (+ 1/3 (* -3 (* x (- 1 y)))) x)
(* 1/3 (sqrt (/ 1 x)))
(/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) (- y 1)))) x)
(/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) (- y 1)))) x)
(/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) (- y 1)))) x)
(* 1/3 (sqrt (/ 1 x)))
(/ (+ (* -3 (sqrt (pow x 3))) (* 1/3 (sqrt x))) x)
(/ (+ (* -3 (sqrt (pow x 3))) (* 1/3 (sqrt x))) x)
(/ (+ (* -3 (sqrt (pow x 3))) (* 1/3 (sqrt x))) x)
(/ 1/3 x)
(/ (+ 1/3 (* -3 x)) x)
(/ (+ 1/3 (* -3 x)) x)
(/ (+ 1/3 (* -3 x)) x)
(* 1/3 (sqrt (/ 1 x)))
(/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) (- y 1)))) x)
(/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) (- y 1)))) x)
(/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) (- y 1)))) x)
(* 1/3 (sqrt (/ 1 x)))
(* 1/3 (sqrt (/ 1 x)))
(* 1/3 (sqrt (/ 1 x)))
(* 1/3 (sqrt (/ 1 x)))
(sqrt (/ 1 x))
(sqrt (/ 1 x))
(sqrt (/ 1 x))
(sqrt (/ 1 x))
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(* 1/3 (sqrt (/ 1 x)))
(/ (+ (* -3 (sqrt (pow x 3))) (* 1/3 (sqrt x))) x)
(/ (+ (* -3 (sqrt (pow x 3))) (* 1/3 (sqrt x))) x)
(/ (+ (* -3 (sqrt (pow x 3))) (* 1/3 (sqrt x))) x)
(* 1/3 (sqrt (/ 1 x)))
(/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) (- y 1)))) x)
(/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) (- y 1)))) x)
(/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) (- y 1)))) x)
(* 1/3 (sqrt (/ 1 x)))
(* 1/3 (sqrt (/ 1 x)))
(* 1/3 (sqrt (/ 1 x)))
(* 1/3 (sqrt (/ 1 x)))
(/ 1/3 x)
(/ (+ 1/3 (* -3 x)) x)
(/ (+ 1/3 (* -3 x)) x)
(/ (+ 1/3 (* -3 x)) x)
(/ -1/9 (pow x 2))
(/ (- (* 9 (pow x 2)) 1/9) (pow x 2))
(/ (- (* 9 (pow x 2)) 1/9) (pow x 2))
(/ (- (* 9 (pow x 2)) 1/9) (pow x 2))
(/ -1/3 x)
(/ (- (* -3 x) 1/3) x)
(/ (- (* -3 x) 1/3) x)
(/ (- (* -3 x) 1/3) x)
(* 1/3 (sqrt (/ 1 x)))
(/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) (- y 1)))) x)
(/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) (- y 1)))) x)
(/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) (- y 1)))) x)
(/ 1/3 x)
(/ 1/3 x)
(/ 1/3 x)
(/ 1/3 x)
(* 1/3 (sqrt (/ 1 x)))
(/ (+ (* -3 (sqrt (pow x 3))) (* 1/3 (sqrt x))) x)
(/ (+ (* -3 (sqrt (pow x 3))) (* 1/3 (sqrt x))) x)
(/ (+ (* -3 (sqrt (pow x 3))) (* 1/3 (sqrt x))) x)
(* 3 (* (sqrt x) (- y 1)))
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) (- y 1)))))
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) (- y 1)))))
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) (- y 1)))))
(* -3 (* (sqrt x) (- 1 y)))
(* x (+ (* -3 (* (sqrt (/ 1 x)) (- 1 y))) (* 1/3 (sqrt (/ 1 (pow x 3))))))
(* x (+ (* -3 (* (sqrt (/ 1 x)) (- 1 y))) (* 1/3 (sqrt (/ 1 (pow x 3))))))
(* x (+ (* -3 (* (sqrt (/ 1 x)) (- 1 y))) (* 1/3 (sqrt (/ 1 (pow x 3))))))
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(* -3 (- 1 y))
(+ (* -3 (- 1 y)) (* 1/3 (/ 1 x)))
(+ (* -3 (- 1 y)) (* 1/3 (/ 1 x)))
(+ (* -3 (- 1 y)) (* 1/3 (/ 1 x)))
(* 3 (* (sqrt x) (- y 1)))
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) (- y 1)))))
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) (- y 1)))))
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) (- y 1)))))
(* -3 (sqrt x))
(* x (+ (* -3 (sqrt (/ 1 x))) (* 1/3 (sqrt (/ 1 (pow x 3))))))
(* x (+ (* -3 (sqrt (/ 1 x))) (* 1/3 (sqrt (/ 1 (pow x 3))))))
(* x (+ (* -3 (sqrt (/ 1 x))) (* 1/3 (sqrt (/ 1 (pow x 3))))))
-3
(- (* 1/3 (/ 1 x)) 3)
(- (* 1/3 (/ 1 x)) 3)
(- (* 1/3 (/ 1 x)) 3)
(* 3 (* (sqrt x) (- y 1)))
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) (- y 1)))))
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) (- y 1)))))
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) (- y 1)))))
(* 1/3 (sqrt (/ 1 x)))
(* 1/3 (sqrt (/ 1 x)))
(* 1/3 (sqrt (/ 1 x)))
(* 1/3 (sqrt (/ 1 x)))
(sqrt (/ 1 x))
(sqrt (/ 1 x))
(sqrt (/ 1 x))
(sqrt (/ 1 x))
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(* -3 (sqrt x))
(* x (+ (* -3 (sqrt (/ 1 x))) (* 1/3 (sqrt (/ 1 (pow x 3))))))
(* x (+ (* -3 (sqrt (/ 1 x))) (* 1/3 (sqrt (/ 1 (pow x 3))))))
(* x (+ (* -3 (sqrt (/ 1 x))) (* 1/3 (sqrt (/ 1 (pow x 3))))))
(* 3 (* (sqrt x) (- y 1)))
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) (- y 1)))))
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) (- y 1)))))
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) (- y 1)))))
(* 1/3 (sqrt (/ 1 x)))
(* 1/3 (sqrt (/ 1 x)))
(* 1/3 (sqrt (/ 1 x)))
(* 1/3 (sqrt (/ 1 x)))
-3
(- (* 1/3 (/ 1 x)) 3)
(- (* 1/3 (/ 1 x)) 3)
(- (* 1/3 (/ 1 x)) 3)
9
(- 9 (* 1/9 (/ 1 (pow x 2))))
(- 9 (* 1/9 (/ 1 (pow x 2))))
(- 9 (* 1/9 (/ 1 (pow x 2))))
-3
(* -1 (+ 3 (* 1/3 (/ 1 x))))
(* -1 (+ 3 (* 1/3 (/ 1 x))))
(* -1 (+ 3 (* 1/3 (/ 1 x))))
(* 3 (* (sqrt x) (- y 1)))
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) (- y 1)))))
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) (- y 1)))))
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) (- y 1)))))
(/ 1/3 x)
(/ 1/3 x)
(/ 1/3 x)
(/ 1/3 x)
(* -3 (sqrt x))
(* x (+ (* -3 (sqrt (/ 1 x))) (* 1/3 (sqrt (/ 1 (pow x 3))))))
(* x (+ (* -3 (sqrt (/ 1 x))) (* 1/3 (sqrt (/ 1 (pow x 3))))))
(* x (+ (* -3 (sqrt (/ 1 x))) (* 1/3 (sqrt (/ 1 (pow x 3))))))
(* -3 (* (sqrt x) (* (pow (sqrt -1) 2) (- y 1))))
(* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1)))))))
(* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1)))))))
(* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1)))))))
(* 3 (* (sqrt x) (* (pow (sqrt -1) 2) (- 1 y))))
(* -1 (* x (+ (* -3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- 1 y)))) (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))))))
(* -1 (* x (+ (* -3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- 1 y)))) (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))))))
(* -1 (* x (+ (* -3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- 1 y)))) (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))))))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* -3 (- 1 y))
(+ (* -3 (- 1 y)) (* 1/3 (/ 1 x)))
(+ (* -3 (- 1 y)) (* 1/3 (/ 1 x)))
(+ (* -3 (- 1 y)) (* 1/3 (/ 1 x)))
(* -3 (* (sqrt x) (* (pow (sqrt -1) 2) (- y 1))))
(* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1)))))))
(* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1)))))))
(* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1)))))))
(* 3 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* x (+ (* -3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))))))
(* -1 (* x (+ (* -3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))))))
(* -1 (* x (+ (* -3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))))))
-3
(- (* 1/3 (/ 1 x)) 3)
(- (* 1/3 (/ 1 x)) 3)
(- (* 1/3 (/ 1 x)) 3)
(* -3 (* (sqrt x) (* (pow (sqrt -1) 2) (- y 1))))
(* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1)))))))
(* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1)))))))
(* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1)))))))
(* 1/3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))
(* 1/3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))
(* 1/3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))
(* 1/3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2))
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2))
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2))
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2))
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(* 3 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* x (+ (* -3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))))))
(* -1 (* x (+ (* -3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))))))
(* -1 (* x (+ (* -3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))))))
(* -3 (* (sqrt x) (* (pow (sqrt -1) 2) (- y 1))))
(* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1)))))))
(* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1)))))))
(* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1)))))))
(* -1/3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))
(* -1/3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))
(* -1/3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))
(* -1/3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))
-3
(- (* 1/3 (/ 1 x)) 3)
(- (* 1/3 (/ 1 x)) 3)
(- (* 1/3 (/ 1 x)) 3)
9
(- 9 (* 1/9 (/ 1 (pow x 2))))
(- 9 (* 1/9 (/ 1 (pow x 2))))
(- 9 (* 1/9 (/ 1 (pow x 2))))
-3
(* -1 (+ 3 (* 1/3 (/ 1 x))))
(* -1 (+ 3 (* 1/3 (/ 1 x))))
(* -1 (+ 3 (* 1/3 (/ 1 x))))
(* -3 (* (sqrt x) (* (pow (sqrt -1) 2) (- y 1))))
(* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1)))))))
(* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1)))))))
(* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1)))))))
(/ 1/3 x)
(/ 1/3 x)
(/ 1/3 x)
(/ 1/3 x)
(* 3 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* x (+ (* -3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))))))
(* -1 (* x (+ (* -3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))))))
(* -1 (* x (+ (* -3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))))))
Outputs
(* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1)))
(*.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 3 binary64)) (sqrt.f64 x))
(+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1))))
(*.f64 (sqrt.f64 x) (fma.f64 y #s(literal 3 binary64) (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 3 binary64))))
(+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1))))
(*.f64 (sqrt.f64 x) (fma.f64 y #s(literal 3 binary64) (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 3 binary64))))
(+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1))))
(*.f64 (sqrt.f64 x) (fma.f64 y #s(literal 3 binary64) (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 3 binary64))))
(* (sqrt x) (- (* 1/3 (/ 1 x)) 3))
(*.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 3 binary64)) (sqrt.f64 x))
(+ (* 3 (* (sqrt x) y)) (* (sqrt x) (- (* 1/3 (/ 1 x)) 3)))
(*.f64 (sqrt.f64 x) (fma.f64 y #s(literal 3 binary64) (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 3 binary64))))
(+ (* 3 (* (sqrt x) y)) (* (sqrt x) (- (* 1/3 (/ 1 x)) 3)))
(*.f64 (sqrt.f64 x) (fma.f64 y #s(literal 3 binary64) (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 3 binary64))))
(+ (* 3 (* (sqrt x) y)) (* (sqrt x) (- (* 1/3 (/ 1 x)) 3)))
(*.f64 (sqrt.f64 x) (fma.f64 y #s(literal 3 binary64) (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 3 binary64))))
(- (* 1/3 (/ 1 x)) 3)
(-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 3 binary64))
(- (+ (* 1/3 (/ 1 x)) (* 3 y)) 3)
(fma.f64 y #s(literal 3 binary64) (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 3 binary64)))
(- (+ (* 1/3 (/ 1 x)) (* 3 y)) 3)
(fma.f64 y #s(literal 3 binary64) (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 3 binary64)))
(- (+ (* 1/3 (/ 1 x)) (* 3 y)) 3)
(fma.f64 y #s(literal 3 binary64) (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 3 binary64)))
(* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1)))
(*.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 3 binary64)) (sqrt.f64 x))
(+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1))))
(*.f64 (sqrt.f64 x) (fma.f64 y #s(literal 3 binary64) (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 3 binary64))))
(+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1))))
(*.f64 (sqrt.f64 x) (fma.f64 y #s(literal 3 binary64) (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 3 binary64))))
(+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1))))
(*.f64 (sqrt.f64 x) (fma.f64 y #s(literal 3 binary64) (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 3 binary64))))
(* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1)))
(*.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 3 binary64)) (sqrt.f64 x))
(+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1))))
(*.f64 (sqrt.f64 x) (fma.f64 y #s(literal 3 binary64) (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 3 binary64))))
(+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1))))
(*.f64 (sqrt.f64 x) (fma.f64 y #s(literal 3 binary64) (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 3 binary64))))
(+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1))))
(*.f64 (sqrt.f64 x) (fma.f64 y #s(literal 3 binary64) (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 3 binary64))))
(* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1)))
(*.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 3 binary64)) (sqrt.f64 x))
(+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1))))
(*.f64 (sqrt.f64 x) (fma.f64 y #s(literal 3 binary64) (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 3 binary64))))
(+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1))))
(*.f64 (sqrt.f64 x) (fma.f64 y #s(literal 3 binary64) (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 3 binary64))))
(+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1))))
(*.f64 (sqrt.f64 x) (fma.f64 y #s(literal 3 binary64) (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 3 binary64))))
(* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1)))
(*.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 3 binary64)) (sqrt.f64 x))
(+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1))))
(*.f64 (sqrt.f64 x) (fma.f64 y #s(literal 3 binary64) (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 3 binary64))))
(+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1))))
(*.f64 (sqrt.f64 x) (fma.f64 y #s(literal 3 binary64) (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 3 binary64))))
(+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1))))
(*.f64 (sqrt.f64 x) (fma.f64 y #s(literal 3 binary64) (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 3 binary64))))
(* 3 (* (sqrt x) y))
(*.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64))
(* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))
(*.f64 (sqrt.f64 x) (fma.f64 y #s(literal 3 binary64) (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 3 binary64))))
(* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))
(*.f64 (sqrt.f64 x) (fma.f64 y #s(literal 3 binary64) (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 3 binary64))))
(* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))
(*.f64 (sqrt.f64 x) (fma.f64 y #s(literal 3 binary64) (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 3 binary64))))
(* 3 (* (sqrt x) y))
(*.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64))
(* y (+ (* 3 (sqrt x)) (* (sqrt x) (/ (- (* 1/3 (/ 1 x)) 3) y))))
(*.f64 (sqrt.f64 x) (fma.f64 y #s(literal 3 binary64) (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 3 binary64))))
(* y (+ (* 3 (sqrt x)) (* (sqrt x) (/ (- (* 1/3 (/ 1 x)) 3) y))))
(*.f64 (sqrt.f64 x) (fma.f64 y #s(literal 3 binary64) (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 3 binary64))))
(* y (+ (* 3 (sqrt x)) (* (sqrt x) (/ (- (* 1/3 (/ 1 x)) 3) y))))
(*.f64 (sqrt.f64 x) (fma.f64 y #s(literal 3 binary64) (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 3 binary64))))
(* 3 y)
(*.f64 y #s(literal 3 binary64))
(* y (- (+ 3 (/ 1/3 (* x y))) (* 3 (/ 1 y))))
(fma.f64 y #s(literal 3 binary64) (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 3 binary64)))
(* y (- (+ 3 (/ 1/3 (* x y))) (* 3 (/ 1 y))))
(fma.f64 y #s(literal 3 binary64) (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 3 binary64)))
(* y (- (+ 3 (/ 1/3 (* x y))) (* 3 (/ 1 y))))
(fma.f64 y #s(literal 3 binary64) (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 3 binary64)))
(* 3 (* (sqrt x) y))
(*.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64))
(* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))
(*.f64 (sqrt.f64 x) (fma.f64 y #s(literal 3 binary64) (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 3 binary64))))
(* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))
(*.f64 (sqrt.f64 x) (fma.f64 y #s(literal 3 binary64) (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 3 binary64))))
(* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))
(*.f64 (sqrt.f64 x) (fma.f64 y #s(literal 3 binary64) (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 3 binary64))))
(* 3 (* (sqrt x) y))
(*.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64))
(* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))
(*.f64 (sqrt.f64 x) (fma.f64 y #s(literal 3 binary64) (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 3 binary64))))
(* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))
(*.f64 (sqrt.f64 x) (fma.f64 y #s(literal 3 binary64) (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 3 binary64))))
(* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))
(*.f64 (sqrt.f64 x) (fma.f64 y #s(literal 3 binary64) (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 3 binary64))))
(* 3 (* (sqrt x) y))
(*.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64))
(* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))
(*.f64 (sqrt.f64 x) (fma.f64 y #s(literal 3 binary64) (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 3 binary64))))
(* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))
(*.f64 (sqrt.f64 x) (fma.f64 y #s(literal 3 binary64) (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 3 binary64))))
(* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))
(*.f64 (sqrt.f64 x) (fma.f64 y #s(literal 3 binary64) (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 3 binary64))))
(* 3 (* (sqrt x) y))
(*.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64))
(* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))
(*.f64 (sqrt.f64 x) (fma.f64 y #s(literal 3 binary64) (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 3 binary64))))
(* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))
(*.f64 (sqrt.f64 x) (fma.f64 y #s(literal 3 binary64) (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 3 binary64))))
(* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))
(*.f64 (sqrt.f64 x) (fma.f64 y #s(literal 3 binary64) (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 3 binary64))))
(* 3 (* (sqrt x) y))
(*.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64))
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(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/3 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -3 binary64))) x)
(* -3 (* (sqrt x) (* (pow (sqrt -1) 2) (- y 1))))
(*.f64 (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 x))
(* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1)))))))
(*.f64 (fma.f64 (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/3 binary64))) x)
(* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1)))))))
(*.f64 (fma.f64 (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/3 binary64))) x)
(* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1)))))))
(*.f64 (fma.f64 (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/3 binary64))) x)
(* -1/3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64))
(* -1/3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64))
(* -1/3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64))
(* -1/3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64))
-3
#s(literal -3 binary64)
(- (* 1/3 (/ 1 x)) 3)
(-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 3 binary64))
(- (* 1/3 (/ 1 x)) 3)
(-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 3 binary64))
(- (* 1/3 (/ 1 x)) 3)
(-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 3 binary64))
9
#s(literal 9 binary64)
(- 9 (* 1/9 (/ 1 (pow x 2))))
(-.f64 #s(literal 9 binary64) (/.f64 (/.f64 #s(literal 1/9 binary64) x) x))
(- 9 (* 1/9 (/ 1 (pow x 2))))
(-.f64 #s(literal 9 binary64) (/.f64 (/.f64 #s(literal 1/9 binary64) x) x))
(- 9 (* 1/9 (/ 1 (pow x 2))))
(-.f64 #s(literal 9 binary64) (/.f64 (/.f64 #s(literal 1/9 binary64) x) x))
-3
#s(literal -3 binary64)
(* -1 (+ 3 (* 1/3 (/ 1 x))))
(-.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))
(* -1 (+ 3 (* 1/3 (/ 1 x))))
(-.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))
(* -1 (+ 3 (* 1/3 (/ 1 x))))
(-.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))
(* -3 (* (sqrt x) (* (pow (sqrt -1) 2) (- y 1))))
(*.f64 (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 x))
(* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1)))))))
(*.f64 (fma.f64 (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/3 binary64))) x)
(* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1)))))))
(*.f64 (fma.f64 (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/3 binary64))) x)
(* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1)))))))
(*.f64 (fma.f64 (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/3 binary64))) x)
(/ 1/3 x)
(/.f64 #s(literal 1/3 binary64) x)
(/ 1/3 x)
(/.f64 #s(literal 1/3 binary64) x)
(/ 1/3 x)
(/.f64 #s(literal 1/3 binary64) x)
(/ 1/3 x)
(/.f64 #s(literal 1/3 binary64) x)
(* 3 (* (sqrt x) (pow (sqrt -1) 2)))
(*.f64 #s(literal -3 binary64) (sqrt.f64 x))
(* -1 (* x (+ (* -3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))))))
(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/3 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -3 binary64))) x)
(* -1 (* x (+ (* -3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))))))
(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/3 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -3 binary64))) x)
(* -1 (* x (+ (* -3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))))))
(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/3 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -3 binary64))) x)

rewrite230.0ms (3.1%)

Memory
25.7MiB live, 145.1MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
049245
072217
1282195
22254195
08961194
Stop Event
iter limit
node limit
iter limit
Counts
20 → 616
Calls
Call 1
Inputs
#s(approx (* (* (- (+ y (/ 1/9 x)) 1) (sqrt x)) 3) (*.f64 (sqrt.f64 x) (fma.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))))
(*.f64 (sqrt.f64 x) (fma.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)))
(sqrt.f64 x)
(fma.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 #s(approx (+ (/ 1/3 x) -3) #s(literal -3 binary64)) (sqrt.f64 x)))
(*.f64 #s(approx (+ (/ 1/3 x) -3) #s(literal -3 binary64)) (sqrt.f64 x))
#s(approx (+ (/ 1/3 x) -3) #s(literal -3 binary64))
#s(approx (* (* (- (+ y (/ 1/9 x)) 1) (sqrt x)) 3) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) x)
(fma.f64 (sqrt.f64 x) #s(literal -3 binary64) (*.f64 (sqrt.f64 x) (/.f64 #s(literal 1/3 binary64) x)))
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (fma.f64 (sqrt.f64 x) #s(literal -3 binary64) (*.f64 (sqrt.f64 x) (/.f64 #s(literal 1/3 binary64) x))))
(*.f64 (sqrt.f64 x) (/.f64 #s(literal 1/3 binary64) x))
(*.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/9 binary64) #s(literal -9 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64)))))
(neg.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/9 binary64) #s(literal -9 binary64)))
(neg.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64)))
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/9 binary64) #s(literal -9 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64))))) (sqrt.f64 x)))
(/.f64 #s(literal 1/3 binary64) x)
(*.f64 (*.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/9 binary64) #s(literal -9 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64))))) (sqrt.f64 x))
Outputs
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eval276.0ms (3.7%)

Memory
10.9MiB live, 279.6MiB allocated
Compiler

Compiled 20 711 to 2 832 computations (86.3% saved)

prune86.0ms (1.1%)

Memory
-15.4MiB live, 148.8MiB allocated
Pruning

23 alts after pruning (17 fresh and 6 done)

PrunedKeptTotal
New1 08281 090
Fresh11920
Picked235
Done134
Total1 096231 119
Accuracy
100.0%
Counts
1 119 → 23
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.2%
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (*.f64 (pow.f64 x #s(literal 1/4 binary64)) (fma.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 3 binary64) #s(literal -3 binary64))))
99.5%
(*.f64 (*.f64 (-.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 1 binary64)) (sqrt.f64 x)) #s(literal 3 binary64))
33.0%
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) #s(approx (- (+ y (/ (/ -1 x) -9)) 1) (/.f64 #s(literal 1/9 binary64) x)))
67.3%
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) #s(approx (- (+ y (/ (/ -1 x) -9)) 1) (-.f64 y #s(literal 1 binary64))))
33.1%
#s(approx (* (* (- (+ y (/ 1/9 x)) 1) (sqrt x)) 3) (/.f64 (sqrt.f64 x) (*.f64 x #s(literal 3 binary64))))
33.1%
#s(approx (* (* (- (+ y (/ 1/9 x)) 1) (sqrt x)) 3) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)))
68.7%
#s(approx (* (* (- (+ y (/ 1/9 x)) 1) (sqrt x)) 3) (*.f64 (fma.f64 (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/3 binary64))) x))
67.3%
#s(approx (* (* (- (+ y (/ 1/9 x)) 1) (sqrt x)) 3) (*.f64 (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 x)))
33.1%
#s(approx (* (* (- (+ y (/ 1/9 x)) 1) (sqrt x)) 3) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1/3 binary64)))
33.1%
#s(approx (* (* (- (+ y (/ 1/9 x)) 1) (sqrt x)) 3) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64)))
99.4%
#s(approx (* (* (- (+ y (/ 1/9 x)) 1) (sqrt x)) 3) (*.f64 (sqrt.f64 x) (fma.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))))
39.5%
#s(approx (* (* (- (+ y (/ 1/9 x)) 1) (sqrt x)) 3) (*.f64 (sqrt.f64 x) #s(approx (+ (* (- 1 y) -3) (/ 1/3 x)) (*.f64 y #s(literal 3 binary64)))))
62.1%
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (fma.f64 (sqrt.f64 x) #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x))))
61.9%
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (/.f64 (-.f64 (*.f64 #s(literal 9 binary64) x) (/.f64 #s(literal 1/9 binary64) x)) (*.f64 (sqrt.f64 x) (-.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)))))
61.9%
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (/.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)))))
61.9%
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sqrt.f64 x) (-.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))) (-.f64 (*.f64 #s(literal 9 binary64) x) (/.f64 #s(literal 1/9 binary64) x)))))
43.7%
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (/.f64 #s(literal -1 binary64) (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64))) (*.f64 (fma.f64 #s(literal -1/9 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal 9 binary64)) (sqrt.f64 x))))
62.0%
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64)) (sqrt.f64 x)))
39.5%
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) y))
28.6%
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 y (pow.f64 (*.f64 x x) #s(literal 1/4 binary64))) #s(literal 3 binary64)))
39.5%
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64)))
61.9%
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 #s(approx (+ (/ 1/3 x) -3) (/.f64 (fma.f64 #s(literal -3 binary64) x #s(literal 1/3 binary64)) x)) (sqrt.f64 x)))
30.0%
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 #s(approx (+ (/ 1/3 x) -3) #s(literal -3 binary64)) (sqrt.f64 x)))
Compiler

Compiled 435 to 407 computations (6.4% saved)

simplify112.0ms (1.5%)

Memory
19.0MiB live, 217.7MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f64 (*.f64 (sqrt.f64 x) (-.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))) (-.f64 (*.f64 #s(literal 9 binary64) x) (/.f64 #s(literal 1/9 binary64) x)))
cost-diff0
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sqrt.f64 x) (-.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))) (-.f64 (*.f64 #s(literal 9 binary64) x) (/.f64 #s(literal 1/9 binary64) x)))))
cost-diff128
(-.f64 (*.f64 #s(literal 9 binary64) x) (/.f64 #s(literal 1/9 binary64) x))
cost-diff704
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sqrt.f64 x) (-.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))) (-.f64 (*.f64 #s(literal 9 binary64) x) (/.f64 #s(literal 1/9 binary64) x))))
cost-diff0
(/.f64 (fma.f64 #s(literal -3 binary64) x #s(literal 1/3 binary64)) x)
cost-diff0
#s(approx (+ (/ 1/3 x) -3) (/.f64 (fma.f64 #s(literal -3 binary64) x #s(literal 1/3 binary64)) x))
cost-diff0
(*.f64 #s(approx (+ (/ 1/3 x) -3) (/.f64 (fma.f64 #s(literal -3 binary64) x #s(literal 1/3 binary64)) x)) (sqrt.f64 x))
cost-diff0
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 #s(approx (+ (/ 1/3 x) -3) (/.f64 (fma.f64 #s(literal -3 binary64) x #s(literal 1/3 binary64)) x)) (sqrt.f64 x)))
cost-diff0
#s(approx (- (+ y (/ (/ -1 x) -9)) 1) (-.f64 y #s(literal 1 binary64)))
cost-diff0
(sqrt.f64 x)
cost-diff0
(*.f64 #s(literal 3 binary64) (sqrt.f64 x))
cost-diff0
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) #s(approx (- (+ y (/ (/ -1 x) -9)) 1) (-.f64 y #s(literal 1 binary64))))
cost-diff0
(sqrt.f64 x)
cost-diff0
(*.f64 (sqrt.f64 x) #s(literal 3 binary64))
cost-diff0
(*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) y)
cost-diff0
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) y))
cost-diff0
(fma.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 3 binary64) #s(literal -3 binary64))
cost-diff0
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (fma.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 3 binary64) #s(literal -3 binary64)))
cost-diff0
(pow.f64 x #s(literal 1/4 binary64))
cost-diff12608
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (*.f64 (pow.f64 x #s(literal 1/4 binary64)) (fma.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 3 binary64) #s(literal -3 binary64))))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
051309
075309
1129295
2279287
3612287
41600287
54854287
08271283
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (*.f64 (pow.f64 x #s(literal 1/4 binary64)) (fma.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 3 binary64) #s(literal -3 binary64))))
(pow.f64 x #s(literal 1/4 binary64))
x
#s(literal 1/4 binary64)
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (fma.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 3 binary64) #s(literal -3 binary64)))
(fma.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 3 binary64) #s(literal -3 binary64))
(+.f64 y (/.f64 #s(literal 1/9 binary64) x))
y
(/.f64 #s(literal 1/9 binary64) x)
#s(literal 1/9 binary64)
#s(literal 3 binary64)
#s(literal -3 binary64)
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) y))
(*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) y)
(*.f64 (sqrt.f64 x) #s(literal 3 binary64))
(sqrt.f64 x)
x
#s(literal 3 binary64)
y
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) #s(approx (- (+ y (/ (/ -1 x) -9)) 1) (-.f64 y #s(literal 1 binary64))))
(*.f64 #s(literal 3 binary64) (sqrt.f64 x))
#s(literal 3 binary64)
(sqrt.f64 x)
x
#s(approx (- (+ y (/ (/ -1 x) -9)) 1) (-.f64 y #s(literal 1 binary64)))
(-.f64 y #s(literal 1 binary64))
y
#s(literal 1 binary64)
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 #s(approx (+ (/ 1/3 x) -3) (/.f64 (fma.f64 #s(literal -3 binary64) x #s(literal 1/3 binary64)) x)) (sqrt.f64 x)))
(*.f64 #s(approx (+ (/ 1/3 x) -3) (/.f64 (fma.f64 #s(literal -3 binary64) x #s(literal 1/3 binary64)) x)) (sqrt.f64 x))
#s(approx (+ (/ 1/3 x) -3) (/.f64 (fma.f64 #s(literal -3 binary64) x #s(literal 1/3 binary64)) x))
(/.f64 (fma.f64 #s(literal -3 binary64) x #s(literal 1/3 binary64)) x)
(fma.f64 #s(literal -3 binary64) x #s(literal 1/3 binary64))
#s(literal -3 binary64)
x
#s(literal 1/3 binary64)
(sqrt.f64 x)
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sqrt.f64 x) (-.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))) (-.f64 (*.f64 #s(literal 9 binary64) x) (/.f64 #s(literal 1/9 binary64) x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sqrt.f64 x) (-.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))) (-.f64 (*.f64 #s(literal 9 binary64) x) (/.f64 #s(literal 1/9 binary64) x))))
#s(literal 1 binary64)
(/.f64 (*.f64 (sqrt.f64 x) (-.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))) (-.f64 (*.f64 #s(literal 9 binary64) x) (/.f64 #s(literal 1/9 binary64) x)))
(*.f64 (sqrt.f64 x) (-.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)))
(sqrt.f64 x)
x
(-.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))
#s(literal -3 binary64)
(/.f64 #s(literal 1/3 binary64) x)
#s(literal 1/3 binary64)
(-.f64 (*.f64 #s(literal 9 binary64) x) (/.f64 #s(literal 1/9 binary64) x))
(*.f64 #s(literal 9 binary64) x)
#s(literal 9 binary64)
(/.f64 #s(literal 1/9 binary64) x)
#s(literal 1/9 binary64)
Outputs
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (*.f64 (pow.f64 x #s(literal 1/4 binary64)) (fma.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 3 binary64) #s(literal -3 binary64))))
(*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal -3 binary64)))
(pow.f64 x #s(literal 1/4 binary64))
x
#s(literal 1/4 binary64)
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (fma.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 3 binary64) #s(literal -3 binary64)))
(*.f64 (fma.f64 #s(literal 3 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal -3 binary64)) (pow.f64 x #s(literal 1/4 binary64)))
(fma.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 3 binary64) #s(literal -3 binary64))
(fma.f64 #s(literal 3 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal -3 binary64))
(+.f64 y (/.f64 #s(literal 1/9 binary64) x))
(+.f64 (/.f64 #s(literal 1/9 binary64) x) y)
y
(/.f64 #s(literal 1/9 binary64) x)
#s(literal 1/9 binary64)
#s(literal 3 binary64)
#s(literal -3 binary64)
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) y))
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 (sqrt.f64 x) y) #s(literal 3 binary64)))
(*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) y)
(*.f64 (*.f64 (sqrt.f64 x) y) #s(literal 3 binary64))
(*.f64 (sqrt.f64 x) #s(literal 3 binary64))
(sqrt.f64 x)
x
#s(literal 3 binary64)
y
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) #s(approx (- (+ y (/ (/ -1 x) -9)) 1) (-.f64 y #s(literal 1 binary64))))
(*.f64 #s(approx (- (+ y (/ (/ -1 x) -9)) 1) (-.f64 y #s(literal 1 binary64))) (*.f64 (sqrt.f64 x) #s(literal 3 binary64)))
(*.f64 #s(literal 3 binary64) (sqrt.f64 x))
(*.f64 (sqrt.f64 x) #s(literal 3 binary64))
#s(literal 3 binary64)
(sqrt.f64 x)
x
#s(approx (- (+ y (/ (/ -1 x) -9)) 1) (-.f64 y #s(literal 1 binary64)))
(-.f64 y #s(literal 1 binary64))
y
#s(literal 1 binary64)
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 #s(approx (+ (/ 1/3 x) -3) (/.f64 (fma.f64 #s(literal -3 binary64) x #s(literal 1/3 binary64)) x)) (sqrt.f64 x)))
(*.f64 #s(approx (+ (/ 1/3 x) -3) (/.f64 (fma.f64 #s(literal -3 binary64) x #s(literal 1/3 binary64)) x)) (sqrt.f64 x))
#s(approx (+ (/ 1/3 x) -3) (/.f64 (fma.f64 #s(literal -3 binary64) x #s(literal 1/3 binary64)) x))
(/.f64 (fma.f64 #s(literal -3 binary64) x #s(literal 1/3 binary64)) x)
(fma.f64 #s(literal -3 binary64) x #s(literal 1/3 binary64))
#s(literal -3 binary64)
x
#s(literal 1/3 binary64)
(sqrt.f64 x)
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sqrt.f64 x) (-.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))) (-.f64 (*.f64 #s(literal 9 binary64) x) (/.f64 #s(literal 1/9 binary64) x)))))
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (/.f64 (fma.f64 #s(literal 9 binary64) x (/.f64 #s(literal -1/9 binary64) x)) (*.f64 (-.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)) (sqrt.f64 x))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sqrt.f64 x) (-.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))) (-.f64 (*.f64 #s(literal 9 binary64) x) (/.f64 #s(literal 1/9 binary64) x))))
(/.f64 (fma.f64 #s(literal 9 binary64) x (/.f64 #s(literal -1/9 binary64) x)) (*.f64 (-.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)) (sqrt.f64 x)))
#s(literal 1 binary64)
(/.f64 (*.f64 (sqrt.f64 x) (-.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))) (-.f64 (*.f64 #s(literal 9 binary64) x) (/.f64 #s(literal 1/9 binary64) x)))
(/.f64 (*.f64 (-.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)) (sqrt.f64 x)) (fma.f64 #s(literal 9 binary64) x (/.f64 #s(literal -1/9 binary64) x)))
(*.f64 (sqrt.f64 x) (-.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)))
(*.f64 (-.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)) (sqrt.f64 x))
(sqrt.f64 x)
x
(-.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))
#s(literal -3 binary64)
(/.f64 #s(literal 1/3 binary64) x)
#s(literal 1/3 binary64)
(-.f64 (*.f64 #s(literal 9 binary64) x) (/.f64 #s(literal 1/9 binary64) x))
(fma.f64 #s(literal 9 binary64) x (/.f64 #s(literal -1/9 binary64) x))
(*.f64 #s(literal 9 binary64) x)
#s(literal 9 binary64)
(/.f64 #s(literal 1/9 binary64) x)
#s(literal 1/9 binary64)

localize143.0ms (1.9%)

Memory
-32.3MiB live, 369.2MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.34994125976844204
(*.f64 (sqrt.f64 x) (-.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)))
accuracy0.37109375
(/.f64 #s(literal 1/3 binary64) x)
accuracy0.390625
(/.f64 (*.f64 (sqrt.f64 x) (-.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))) (-.f64 (*.f64 #s(literal 9 binary64) x) (/.f64 #s(literal 1/9 binary64) x)))
accuracy24.102749879001937
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sqrt.f64 x) (-.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))) (-.f64 (*.f64 #s(literal 9 binary64) x) (/.f64 #s(literal 1/9 binary64) x)))))
accuracy0.0078125
(fma.f64 #s(literal -3 binary64) x #s(literal 1/3 binary64))
accuracy0.234375
(/.f64 (fma.f64 #s(literal -3 binary64) x #s(literal 1/3 binary64)) x)
accuracy0.3515625
(*.f64 #s(approx (+ (/ 1/3 x) -3) (/.f64 (fma.f64 #s(literal -3 binary64) x #s(literal 1/3 binary64)) x)) (sqrt.f64 x))
accuracy24.102749879001937
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 #s(approx (+ (/ 1/3 x) -3) (/.f64 (fma.f64 #s(literal -3 binary64) x #s(literal 1/3 binary64)) x)) (sqrt.f64 x)))
accuracy0
(sqrt.f64 x)
accuracy0.205410009768442
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) #s(approx (- (+ y (/ (/ -1 x) -9)) 1) (-.f64 y #s(literal 1 binary64))))
accuracy0.33203125
(*.f64 #s(literal 3 binary64) (sqrt.f64 x))
accuracy20.84573455592119
#s(approx (- (+ y (/ (/ -1 x) -9)) 1) (-.f64 y #s(literal 1 binary64)))
accuracy0
(sqrt.f64 x)
accuracy0.20703125
(*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) y)
accuracy0.33203125
(*.f64 (sqrt.f64 x) #s(literal 3 binary64))
accuracy38.635403692013085
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) y))
accuracy0.140625
(fma.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 3 binary64) #s(literal -3 binary64))
accuracy0.29296875
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (*.f64 (pow.f64 x #s(literal 1/4 binary64)) (fma.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 3 binary64) #s(literal -3 binary64))))
accuracy0.296875
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (fma.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 3 binary64) #s(literal -3 binary64)))
accuracy0.33203125
(/.f64 #s(literal 1/9 binary64) x)
Samples
66.0ms202×0valid
20.0ms32×1valid
17.0ms20×2valid
2.0ms3valid
Compiler

Compiled 486 to 83 computations (82.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 75.0ms
ival-mult: 20.0ms (26.7% of total)
ival-div: 14.0ms (18.7% of total)
const: 8.0ms (10.7% of total)
ival-add: 8.0ms (10.7% of total)
adjust: 7.0ms (9.3% of total)
ival-sub: 7.0ms (9.3% of total)
ival-pow: 7.0ms (9.3% of total)
ival-sqrt: 2.0ms (2.7% of total)
exact: 1.0ms (1.3% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series85.0ms (1.1%)

Memory
18.3MiB live, 216.3MiB allocated
Counts
23 → 384
Calls
Call 1
Inputs
#s(alt (*.f64 (pow.f64 x #s(literal 1/4 binary64)) (*.f64 (pow.f64 x #s(literal 1/4 binary64)) (fma.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 3 binary64) #s(literal -3 binary64)))) (patch (*.f64 (pow.f64 x #s(literal 1/4 binary64)) (*.f64 (pow.f64 x #s(literal 1/4 binary64)) (fma.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 3 binary64) #s(literal -3 binary64)))) #<representation binary64>) () ())
#s(alt (pow.f64 x #s(literal 1/4 binary64)) (patch (pow.f64 x #s(literal 1/4 binary64)) #<representation binary64>) () ())
#s(alt (*.f64 (pow.f64 x #s(literal 1/4 binary64)) (fma.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 3 binary64) #s(literal -3 binary64))) (patch (*.f64 (pow.f64 x #s(literal 1/4 binary64)) (fma.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 3 binary64) #s(literal -3 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 3 binary64) #s(literal -3 binary64)) (patch (fma.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 3 binary64) #s(literal -3 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) y)) (patch #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) y)) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) y) (patch (*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) y) #<representation binary64>) () ())
#s(alt (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) (patch (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) #<representation binary64>) () ())
#s(alt (sqrt.f64 x) (patch (sqrt.f64 x) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) #s(approx (- (+ y (/ (/ -1 x) -9)) 1) (-.f64 y #s(literal 1 binary64)))) (patch (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) #s(approx (- (+ y (/ (/ -1 x) -9)) 1) (-.f64 y #s(literal 1 binary64)))) #<representation binary64>) () ())
#s(alt (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (patch (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) #<representation binary64>) () ())
#s(alt #s(approx (- (+ y (/ (/ -1 x) -9)) 1) (-.f64 y #s(literal 1 binary64))) (patch #s(approx (- (+ y (/ (/ -1 x) -9)) 1) (-.f64 y #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 #s(approx (+ (/ 1/3 x) -3) (/.f64 (fma.f64 #s(literal -3 binary64) x #s(literal 1/3 binary64)) x)) (sqrt.f64 x))) (patch #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 #s(approx (+ (/ 1/3 x) -3) (/.f64 (fma.f64 #s(literal -3 binary64) x #s(literal 1/3 binary64)) x)) (sqrt.f64 x))) #<representation binary64>) () ())
#s(alt (*.f64 #s(approx (+ (/ 1/3 x) -3) (/.f64 (fma.f64 #s(literal -3 binary64) x #s(literal 1/3 binary64)) x)) (sqrt.f64 x)) (patch (*.f64 #s(approx (+ (/ 1/3 x) -3) (/.f64 (fma.f64 #s(literal -3 binary64) x #s(literal 1/3 binary64)) x)) (sqrt.f64 x)) #<representation binary64>) () ())
#s(alt #s(approx (+ (/ 1/3 x) -3) (/.f64 (fma.f64 #s(literal -3 binary64) x #s(literal 1/3 binary64)) x)) (patch #s(approx (+ (/ 1/3 x) -3) (/.f64 (fma.f64 #s(literal -3 binary64) x #s(literal 1/3 binary64)) x)) #<representation binary64>) () ())
#s(alt (/.f64 (fma.f64 #s(literal -3 binary64) x #s(literal 1/3 binary64)) x) (patch (/.f64 (fma.f64 #s(literal -3 binary64) x #s(literal 1/3 binary64)) x) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sqrt.f64 x) (-.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))) (-.f64 (*.f64 #s(literal 9 binary64) x) (/.f64 #s(literal 1/9 binary64) x)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sqrt.f64 x) (-.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))) (-.f64 (*.f64 #s(literal 9 binary64) x) (/.f64 #s(literal 1/9 binary64) x)))) #<representation binary64>) () ())
#s(alt (-.f64 (*.f64 #s(literal 9 binary64) x) (/.f64 #s(literal 1/9 binary64) x)) (patch (-.f64 (*.f64 #s(literal 9 binary64) x) (/.f64 #s(literal 1/9 binary64) x)) #<representation binary64>) () ())
#s(alt #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sqrt.f64 x) (-.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))) (-.f64 (*.f64 #s(literal 9 binary64) x) (/.f64 #s(literal 1/9 binary64) x))))) (patch #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sqrt.f64 x) (-.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))) (-.f64 (*.f64 #s(literal 9 binary64) x) (/.f64 #s(literal 1/9 binary64) x))))) #<representation binary64>) () ())
#s(alt (/.f64 (*.f64 (sqrt.f64 x) (-.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))) (-.f64 (*.f64 #s(literal 9 binary64) x) (/.f64 #s(literal 1/9 binary64) x))) (patch (/.f64 (*.f64 (sqrt.f64 x) (-.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))) (-.f64 (*.f64 #s(literal 9 binary64) x) (/.f64 #s(literal 1/9 binary64) x))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1/9 binary64) x) (patch (/.f64 #s(literal 1/9 binary64) x) #<representation binary64>) () ())
#s(alt (fma.f64 #s(literal -3 binary64) x #s(literal 1/3 binary64)) (patch (fma.f64 #s(literal -3 binary64) x #s(literal 1/3 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1/3 binary64) x) (patch (/.f64 #s(literal 1/3 binary64) x) #<representation binary64>) () ())
#s(alt (*.f64 (sqrt.f64 x) (-.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))) (patch (*.f64 (sqrt.f64 x) (-.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))) #<representation binary64>) () ())
Outputs
#s(alt (* (sqrt x) (- (* 1/3 (/ 1 x)) 3)) (taylor 0 y) (#s(alt (*.f64 (pow.f64 x #s(literal 1/4 binary64)) (*.f64 (pow.f64 x #s(literal 1/4 binary64)) (fma.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 3 binary64) #s(literal -3 binary64)))) (patch (*.f64 (pow.f64 x #s(literal 1/4 binary64)) (*.f64 (pow.f64 x #s(literal 1/4 binary64)) (fma.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 3 binary64) #s(literal -3 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ (* 3 (* (sqrt x) y)) (* (sqrt x) (- (* 1/3 (/ 1 x)) 3))) (taylor 0 y) (#s(alt (*.f64 (pow.f64 x #s(literal 1/4 binary64)) (*.f64 (pow.f64 x #s(literal 1/4 binary64)) (fma.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 3 binary64) #s(literal -3 binary64)))) (patch (*.f64 (pow.f64 x #s(literal 1/4 binary64)) (*.f64 (pow.f64 x #s(literal 1/4 binary64)) (fma.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 3 binary64) #s(literal -3 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ (* 3 (* (sqrt x) y)) (* (sqrt x) (- (* 1/3 (/ 1 x)) 3))) (taylor 0 y) (#s(alt (*.f64 (pow.f64 x #s(literal 1/4 binary64)) (*.f64 (pow.f64 x #s(literal 1/4 binary64)) (fma.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 3 binary64) #s(literal -3 binary64)))) (patch (*.f64 (pow.f64 x #s(literal 1/4 binary64)) (*.f64 (pow.f64 x #s(literal 1/4 binary64)) (fma.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 3 binary64) #s(literal -3 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ (* 3 (* (sqrt x) y)) (* (sqrt x) (- (* 1/3 (/ 1 x)) 3))) (taylor 0 y) (#s(alt (*.f64 (pow.f64 x #s(literal 1/4 binary64)) (*.f64 (pow.f64 x #s(literal 1/4 binary64)) (fma.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 3 binary64) #s(literal -3 binary64)))) (patch (*.f64 (pow.f64 x #s(literal 1/4 binary64)) (*.f64 (pow.f64 x #s(literal 1/4 binary64)) (fma.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 3 binary64) #s(literal -3 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* (pow (* 1 x) 1/4) (- (* 1/3 (/ 1 x)) 3)) (taylor 0 y) (#s(alt (*.f64 (pow.f64 x #s(literal 1/4 binary64)) (fma.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 3 binary64) #s(literal -3 binary64))) (patch (*.f64 (pow.f64 x #s(literal 1/4 binary64)) (fma.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 3 binary64) #s(literal -3 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* 3 (* (pow (* 1 x) 1/4) y)) (* (pow (* 1 x) 1/4) (- (* 1/3 (/ 1 x)) 3))) (taylor 0 y) (#s(alt (*.f64 (pow.f64 x #s(literal 1/4 binary64)) (fma.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 3 binary64) #s(literal -3 binary64))) (patch (*.f64 (pow.f64 x #s(literal 1/4 binary64)) (fma.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 3 binary64) #s(literal -3 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* 3 (* (pow (* 1 x) 1/4) y)) (* (pow (* 1 x) 1/4) (- (* 1/3 (/ 1 x)) 3))) (taylor 0 y) (#s(alt (*.f64 (pow.f64 x #s(literal 1/4 binary64)) (fma.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 3 binary64) #s(literal -3 binary64))) (patch (*.f64 (pow.f64 x #s(literal 1/4 binary64)) (fma.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 3 binary64) #s(literal -3 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* 3 (* (pow (* 1 x) 1/4) y)) (* (pow (* 1 x) 1/4) (- (* 1/3 (/ 1 x)) 3))) (taylor 0 y) (#s(alt (*.f64 (pow.f64 x #s(literal 1/4 binary64)) (fma.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 3 binary64) #s(literal -3 binary64))) (patch (*.f64 (pow.f64 x #s(literal 1/4 binary64)) (fma.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 3 binary64) #s(literal -3 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (* 1/3 (/ 1 x)) 3) (taylor 0 y) (#s(alt (fma.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 3 binary64) #s(literal -3 binary64)) (patch (fma.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 3 binary64) #s(literal -3 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (+ (* 1/3 (/ 1 x)) (* 3 y)) 3) (taylor 0 y) (#s(alt (fma.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 3 binary64) #s(literal -3 binary64)) (patch (fma.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 3 binary64) #s(literal -3 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (+ (* 1/3 (/ 1 x)) (* 3 y)) 3) (taylor 0 y) (#s(alt (fma.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 3 binary64) #s(literal -3 binary64)) (patch (fma.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 3 binary64) #s(literal -3 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (+ (* 1/3 (/ 1 x)) (* 3 y)) 3) (taylor 0 y) (#s(alt (fma.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 3 binary64) #s(literal -3 binary64)) (patch (fma.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 3 binary64) #s(literal -3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1))) (taylor 0 y) (#s(alt #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) y)) (patch #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) y)) #<representation binary64>) () ())) ())
#s(alt (+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1)))) (taylor 0 y) (#s(alt #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) y)) (patch #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) y)) #<representation binary64>) () ())) ())
#s(alt (+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1)))) (taylor 0 y) (#s(alt #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) y)) (patch #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) y)) #<representation binary64>) () ())) ())
#s(alt (+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1)))) (taylor 0 y) (#s(alt #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) y)) (patch #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) y)) #<representation binary64>) () ())) ())
#s(alt (* 3 (* (sqrt x) y)) (taylor 0 y) (#s(alt (*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) y) (patch (*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* 3 (* (sqrt x) y)) (taylor 0 y) (#s(alt (*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) y) (patch (*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* 3 (* (sqrt x) y)) (taylor 0 y) (#s(alt (*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) y) (patch (*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* 3 (* (sqrt x) y)) (taylor 0 y) (#s(alt (*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) y) (patch (*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1))) (taylor 0 y) (#s(alt (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) #s(approx (- (+ y (/ (/ -1 x) -9)) 1) (-.f64 y #s(literal 1 binary64)))) (patch (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) #s(approx (- (+ y (/ (/ -1 x) -9)) 1) (-.f64 y #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1)))) (taylor 0 y) (#s(alt (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) #s(approx (- (+ y (/ (/ -1 x) -9)) 1) (-.f64 y #s(literal 1 binary64)))) (patch (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) #s(approx (- (+ y (/ (/ -1 x) -9)) 1) (-.f64 y #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1)))) (taylor 0 y) (#s(alt (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) #s(approx (- (+ y (/ (/ -1 x) -9)) 1) (-.f64 y #s(literal 1 binary64)))) (patch (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) #s(approx (- (+ y (/ (/ -1 x) -9)) 1) (-.f64 y #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1)))) (taylor 0 y) (#s(alt (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) #s(approx (- (+ y (/ (/ -1 x) -9)) 1) (-.f64 y #s(literal 1 binary64)))) (patch (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) #s(approx (- (+ y (/ (/ -1 x) -9)) 1) (-.f64 y #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (- (* 1/9 (/ 1 x)) 1) (taylor 0 y) (#s(alt #s(approx (- (+ y (/ (/ -1 x) -9)) 1) (-.f64 y #s(literal 1 binary64))) (patch #s(approx (- (+ y (/ (/ -1 x) -9)) 1) (-.f64 y #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (+ y (* 1/9 (/ 1 x))) 1) (taylor 0 y) (#s(alt #s(approx (- (+ y (/ (/ -1 x) -9)) 1) (-.f64 y #s(literal 1 binary64))) (patch #s(approx (- (+ y (/ (/ -1 x) -9)) 1) (-.f64 y #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (+ y (* 1/9 (/ 1 x))) 1) (taylor 0 y) (#s(alt #s(approx (- (+ y (/ (/ -1 x) -9)) 1) (-.f64 y #s(literal 1 binary64))) (patch #s(approx (- (+ y (/ (/ -1 x) -9)) 1) (-.f64 y #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (+ y (* 1/9 (/ 1 x))) 1) (taylor 0 y) (#s(alt #s(approx (- (+ y (/ (/ -1 x) -9)) 1) (-.f64 y #s(literal 1 binary64))) (patch #s(approx (- (+ y (/ (/ -1 x) -9)) 1) (-.f64 y #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1))) (taylor 0 y) (#s(alt #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 #s(approx (+ (/ 1/3 x) -3) (/.f64 (fma.f64 #s(literal -3 binary64) x #s(literal 1/3 binary64)) x)) (sqrt.f64 x))) (patch #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 #s(approx (+ (/ 1/3 x) -3) (/.f64 (fma.f64 #s(literal -3 binary64) x #s(literal 1/3 binary64)) x)) (sqrt.f64 x))) #<representation binary64>) () ())) ())
#s(alt (+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1)))) (taylor 0 y) (#s(alt #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 #s(approx (+ (/ 1/3 x) -3) (/.f64 (fma.f64 #s(literal -3 binary64) x #s(literal 1/3 binary64)) x)) (sqrt.f64 x))) (patch #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 #s(approx (+ (/ 1/3 x) -3) (/.f64 (fma.f64 #s(literal -3 binary64) x #s(literal 1/3 binary64)) x)) (sqrt.f64 x))) #<representation binary64>) () ())) ())
#s(alt (+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1)))) (taylor 0 y) (#s(alt #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 #s(approx (+ (/ 1/3 x) -3) (/.f64 (fma.f64 #s(literal -3 binary64) x #s(literal 1/3 binary64)) x)) (sqrt.f64 x))) (patch #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 #s(approx (+ (/ 1/3 x) -3) (/.f64 (fma.f64 #s(literal -3 binary64) x #s(literal 1/3 binary64)) x)) (sqrt.f64 x))) #<representation binary64>) () ())) ())
#s(alt (+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1)))) (taylor 0 y) (#s(alt #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 #s(approx (+ (/ 1/3 x) -3) (/.f64 (fma.f64 #s(literal -3 binary64) x #s(literal 1/3 binary64)) x)) (sqrt.f64 x))) (patch #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 #s(approx (+ (/ 1/3 x) -3) (/.f64 (fma.f64 #s(literal -3 binary64) x #s(literal 1/3 binary64)) x)) (sqrt.f64 x))) #<representation binary64>) () ())) ())
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#s(alt (/ 1/9 x) (taylor -inf x) (#s(alt (/.f64 #s(literal 1/9 binary64) x) (patch (/.f64 #s(literal 1/9 binary64) x) #<representation binary64>) () ())) ())
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#s(alt (/ 1/3 x) (taylor -inf x) (#s(alt (/.f64 #s(literal 1/3 binary64) x) (patch (/.f64 #s(literal 1/3 binary64) x) #<representation binary64>) () ())) ())
#s(alt (/ 1/3 x) (taylor -inf x) (#s(alt (/.f64 #s(literal 1/3 binary64) x) (patch (/.f64 #s(literal 1/3 binary64) x) #<representation binary64>) () ())) ())
#s(alt (/ 1/3 x) (taylor -inf x) (#s(alt (/.f64 #s(literal 1/3 binary64) x) (patch (/.f64 #s(literal 1/3 binary64) x) #<representation binary64>) () ())) ())
#s(alt (/ 1/3 x) (taylor -inf x) (#s(alt (/.f64 #s(literal 1/3 binary64) x) (patch (/.f64 #s(literal 1/3 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* 3 (* (sqrt x) (pow (sqrt -1) 2))) (taylor -inf x) (#s(alt (*.f64 (sqrt.f64 x) (-.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))) (patch (*.f64 (sqrt.f64 x) (-.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* -1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))))) (taylor -inf x) (#s(alt (*.f64 (sqrt.f64 x) (-.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))) (patch (*.f64 (sqrt.f64 x) (-.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* -1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))))) (taylor -inf x) (#s(alt (*.f64 (sqrt.f64 x) (-.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))) (patch (*.f64 (sqrt.f64 x) (-.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* -1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))))) (taylor -inf x) (#s(alt (*.f64 (sqrt.f64 x) (-.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))) (patch (*.f64 (sqrt.f64 x) (-.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))) #<representation binary64>) () ())) ())
Calls

6 calls:

TimeVariablePointExpression
34.0ms
x
@-inf
((* (pow x 1/4) (* (pow x 1/4) (+ (* (+ y (/ 1/9 x)) 3) -3))) (pow x 1/4) (* (pow x 1/4) (+ (* (+ y (/ 1/9 x)) 3) -3)) (+ (* (+ y (/ 1/9 x)) 3) -3) (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (* (* (sqrt x) 3) y) (* (sqrt x) 3) (sqrt x) (* (* 3 (sqrt x)) (- (+ y (/ (/ -1 x) -9)) 1)) (* 3 (sqrt x)) (- (+ y (/ (/ -1 x) -9)) 1) (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (* (+ (/ 1/3 x) -3) (sqrt x)) (+ (/ 1/3 x) -3) (/ (+ (* -3 x) 1/3) x) (/ 1 (/ (* (sqrt x) (- -3 (/ 1/3 x))) (- (* 9 x) (/ 1/9 x)))) (- (* 9 x) (/ 1/9 x)) (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (/ (* (sqrt x) (- -3 (/ 1/3 x))) (- (* 9 x) (/ 1/9 x))) (/ 1/9 x) (+ (* -3 x) 1/3) (/ 1/3 x) (* (sqrt x) (- -3 (/ 1/3 x))))
12.0ms
x
@inf
((* (pow x 1/4) (* (pow x 1/4) (+ (* (+ y (/ 1/9 x)) 3) -3))) (pow x 1/4) (* (pow x 1/4) (+ (* (+ y (/ 1/9 x)) 3) -3)) (+ (* (+ y (/ 1/9 x)) 3) -3) (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (* (* (sqrt x) 3) y) (* (sqrt x) 3) (sqrt x) (* (* 3 (sqrt x)) (- (+ y (/ (/ -1 x) -9)) 1)) (* 3 (sqrt x)) (- (+ y (/ (/ -1 x) -9)) 1) (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (* (+ (/ 1/3 x) -3) (sqrt x)) (+ (/ 1/3 x) -3) (/ (+ (* -3 x) 1/3) x) (/ 1 (/ (* (sqrt x) (- -3 (/ 1/3 x))) (- (* 9 x) (/ 1/9 x)))) (- (* 9 x) (/ 1/9 x)) (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (/ (* (sqrt x) (- -3 (/ 1/3 x))) (- (* 9 x) (/ 1/9 x))) (/ 1/9 x) (+ (* -3 x) 1/3) (/ 1/3 x) (* (sqrt x) (- -3 (/ 1/3 x))))
12.0ms
x
@0
((* (pow x 1/4) (* (pow x 1/4) (+ (* (+ y (/ 1/9 x)) 3) -3))) (pow x 1/4) (* (pow x 1/4) (+ (* (+ y (/ 1/9 x)) 3) -3)) (+ (* (+ y (/ 1/9 x)) 3) -3) (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (* (* (sqrt x) 3) y) (* (sqrt x) 3) (sqrt x) (* (* 3 (sqrt x)) (- (+ y (/ (/ -1 x) -9)) 1)) (* 3 (sqrt x)) (- (+ y (/ (/ -1 x) -9)) 1) (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (* (+ (/ 1/3 x) -3) (sqrt x)) (+ (/ 1/3 x) -3) (/ (+ (* -3 x) 1/3) x) (/ 1 (/ (* (sqrt x) (- -3 (/ 1/3 x))) (- (* 9 x) (/ 1/9 x)))) (- (* 9 x) (/ 1/9 x)) (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (/ (* (sqrt x) (- -3 (/ 1/3 x))) (- (* 9 x) (/ 1/9 x))) (/ 1/9 x) (+ (* -3 x) 1/3) (/ 1/3 x) (* (sqrt x) (- -3 (/ 1/3 x))))
5.0ms
y
@0
((* (pow x 1/4) (* (pow x 1/4) (+ (* (+ y (/ 1/9 x)) 3) -3))) (pow x 1/4) (* (pow x 1/4) (+ (* (+ y (/ 1/9 x)) 3) -3)) (+ (* (+ y (/ 1/9 x)) 3) -3) (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (* (* (sqrt x) 3) y) (* (sqrt x) 3) (sqrt x) (* (* 3 (sqrt x)) (- (+ y (/ (/ -1 x) -9)) 1)) (* 3 (sqrt x)) (- (+ y (/ (/ -1 x) -9)) 1) (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (* (+ (/ 1/3 x) -3) (sqrt x)) (+ (/ 1/3 x) -3) (/ (+ (* -3 x) 1/3) x) (/ 1 (/ (* (sqrt x) (- -3 (/ 1/3 x))) (- (* 9 x) (/ 1/9 x)))) (- (* 9 x) (/ 1/9 x)) (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (/ (* (sqrt x) (- -3 (/ 1/3 x))) (- (* 9 x) (/ 1/9 x))) (/ 1/9 x) (+ (* -3 x) 1/3) (/ 1/3 x) (* (sqrt x) (- -3 (/ 1/3 x))))
3.0ms
y
@-inf
((* (pow x 1/4) (* (pow x 1/4) (+ (* (+ y (/ 1/9 x)) 3) -3))) (pow x 1/4) (* (pow x 1/4) (+ (* (+ y (/ 1/9 x)) 3) -3)) (+ (* (+ y (/ 1/9 x)) 3) -3) (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (* (* (sqrt x) 3) y) (* (sqrt x) 3) (sqrt x) (* (* 3 (sqrt x)) (- (+ y (/ (/ -1 x) -9)) 1)) (* 3 (sqrt x)) (- (+ y (/ (/ -1 x) -9)) 1) (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (* (+ (/ 1/3 x) -3) (sqrt x)) (+ (/ 1/3 x) -3) (/ (+ (* -3 x) 1/3) x) (/ 1 (/ (* (sqrt x) (- -3 (/ 1/3 x))) (- (* 9 x) (/ 1/9 x)))) (- (* 9 x) (/ 1/9 x)) (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (/ (* (sqrt x) (- -3 (/ 1/3 x))) (- (* 9 x) (/ 1/9 x))) (/ 1/9 x) (+ (* -3 x) 1/3) (/ 1/3 x) (* (sqrt x) (- -3 (/ 1/3 x))))

simplify145.0ms (1.9%)

Memory
4.8MiB live, 242.2MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02724025
17133874
224953840
347753728
082773464
Stop Event
iter limit
node limit
Counts
384 → 382
Calls
Call 1
Inputs
(* (sqrt x) (- (* 1/3 (/ 1 x)) 3))
(+ (* 3 (* (sqrt x) y)) (* (sqrt x) (- (* 1/3 (/ 1 x)) 3)))
(+ (* 3 (* (sqrt x) y)) (* (sqrt x) (- (* 1/3 (/ 1 x)) 3)))
(+ (* 3 (* (sqrt x) y)) (* (sqrt x) (- (* 1/3 (/ 1 x)) 3)))
(* (pow (* 1 x) 1/4) (- (* 1/3 (/ 1 x)) 3))
(+ (* 3 (* (pow (* 1 x) 1/4) y)) (* (pow (* 1 x) 1/4) (- (* 1/3 (/ 1 x)) 3)))
(+ (* 3 (* (pow (* 1 x) 1/4) y)) (* (pow (* 1 x) 1/4) (- (* 1/3 (/ 1 x)) 3)))
(+ (* 3 (* (pow (* 1 x) 1/4) y)) (* (pow (* 1 x) 1/4) (- (* 1/3 (/ 1 x)) 3)))
(- (* 1/3 (/ 1 x)) 3)
(- (+ (* 1/3 (/ 1 x)) (* 3 y)) 3)
(- (+ (* 1/3 (/ 1 x)) (* 3 y)) 3)
(- (+ (* 1/3 (/ 1 x)) (* 3 y)) 3)
(* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1)))
(+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1))))
(+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1))))
(+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1))))
(* 3 (* (sqrt x) y))
(* 3 (* (sqrt x) y))
(* 3 (* (sqrt x) y))
(* 3 (* (sqrt x) y))
(* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1)))
(+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1))))
(+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1))))
(+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1))))
(- (* 1/9 (/ 1 x)) 1)
(- (+ y (* 1/9 (/ 1 x))) 1)
(- (+ y (* 1/9 (/ 1 x))) 1)
(- (+ y (* 1/9 (/ 1 x))) 1)
(* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1)))
(+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1))))
(+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1))))
(+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1))))
(* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1)))
(+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1))))
(+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1))))
(+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1))))
(* 3 (* (sqrt x) y))
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(* y (+ (* 3 (pow (* 1 x) 1/4)) (* (pow (* 1 x) 1/4) (/ (- (* 1/3 (/ 1 x)) 3) y))))
(* 3 y)
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y
(* y (- (+ 1 (/ 1/9 (* x y))) (/ 1 y)))
(* y (- (+ 1 (/ 1/9 (* x y))) (/ 1 y)))
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(* 3 (* (sqrt x) y))
(* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))
(* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))
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(* -1 (* y (+ (* -3 (sqrt x)) (* -1 (* (sqrt x) (/ (- (* 1/3 (/ 1 x)) 3) y))))))
(* 3 (* (pow (* 1 x) 1/4) y))
(* -1 (* y (+ (* -3 (pow (* 1 x) 1/4)) (* -1 (* (pow (* 1 x) 1/4) (/ (- (* 1/3 (/ 1 x)) 3) y))))))
(* -1 (* y (+ (* -3 (pow (* 1 x) 1/4)) (* -1 (* (pow (* 1 x) 1/4) (/ (- (* 1/3 (/ 1 x)) 3) y))))))
(* -1 (* y (+ (* -3 (pow (* 1 x) 1/4)) (* -1 (* (pow (* 1 x) 1/4) (/ (- (* 1/3 (/ 1 x)) 3) y))))))
(* 3 y)
(* -1 (* y (- (* -1 (/ (- (* 1/3 (/ 1 x)) 3) y)) 3)))
(* -1 (* y (- (* -1 (/ (- (* 1/3 (/ 1 x)) 3) y)) 3)))
(* -1 (* y (- (* -1 (/ (- (* 1/3 (/ 1 x)) 3) y)) 3)))
(* 3 (* (sqrt x) y))
(* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))))
(* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))))
(* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))))
(* 3 (* (sqrt x) y))
(* 3 (* (sqrt x) y))
(* 3 (* (sqrt x) y))
(* 3 (* (sqrt x) y))
(* 3 (* (sqrt x) y))
(* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))))
(* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))))
(* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))))
y
(* -1 (* y (- (* -1 (/ (- (* 1/9 (/ 1 x)) 1) y)) 1)))
(* -1 (* y (- (* -1 (/ (- (* 1/9 (/ 1 x)) 1) y)) 1)))
(* -1 (* y (- (* -1 (/ (- (* 1/9 (/ 1 x)) 1) y)) 1)))
(* 3 (* (sqrt x) y))
(* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))))
(* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))))
(* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))))
(* 3 (* (sqrt x) y))
(* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))))
(* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))))
(* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))))
(* 1/3 (sqrt (/ 1 x)))
(/ (+ (* 1/3 (sqrt x)) (* (sqrt (pow x 3)) (- (* 3 y) 3))) x)
(/ (+ (* 1/3 (sqrt x)) (* (sqrt (pow x 3)) (- (* 3 y) 3))) x)
(/ (+ (* 1/3 (sqrt x)) (* (sqrt (pow x 3)) (- (* 3 y) 3))) x)
(pow (* 1 x) 1/4)
(pow (* 1 x) 1/4)
(pow (* 1 x) 1/4)
(pow (* 1 x) 1/4)
(* 1/3 (pow (/ 1 (pow x 3)) 1/4))
(/ (+ (* 1/3 (pow (* 1 x) 1/4)) (* (pow (* 1 (pow x 5)) 1/4) (- (* 3 y) 3))) x)
(/ (+ (* 1/3 (pow (* 1 x) 1/4)) (* (pow (* 1 (pow x 5)) 1/4) (- (* 3 y) 3))) x)
(/ (+ (* 1/3 (pow (* 1 x) 1/4)) (* (pow (* 1 (pow x 5)) 1/4) (- (* 3 y) 3))) x)
(/ 1/3 x)
(/ (+ 1/3 (* x (- (* 3 y) 3))) x)
(/ (+ 1/3 (* x (- (* 3 y) 3))) x)
(/ (+ 1/3 (* x (- (* 3 y) 3))) x)
(* 1/3 (sqrt (/ 1 x)))
(/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) (- y 1)))) x)
(/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) (- y 1)))) x)
(/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) (- y 1)))) x)
(* 3 (* (sqrt x) y))
(* 3 (* (sqrt x) y))
(* 3 (* (sqrt x) y))
(* 3 (* (sqrt x) y))
(* 3 (sqrt x))
(* 3 (sqrt x))
(* 3 (sqrt x))
(* 3 (sqrt x))
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(* 1/3 (sqrt (/ 1 x)))
(/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) (- y 1)))) x)
(/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) (- y 1)))) x)
(/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) (- y 1)))) x)
(* 3 (sqrt x))
(* 3 (sqrt x))
(* 3 (sqrt x))
(* 3 (sqrt x))
(/ 1/9 x)
(/ (+ 1/9 (* x (- y 1))) x)
(/ (+ 1/9 (* x (- y 1))) x)
(/ (+ 1/9 (* x (- y 1))) x)
(* 1/3 (sqrt (/ 1 x)))
(/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) (- y 1)))) x)
(/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) (- y 1)))) x)
(/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) (- y 1)))) x)
(* 1/3 (sqrt (/ 1 x)))
(/ (+ (* -3 (sqrt (pow x 3))) (* 1/3 (sqrt x))) x)
(/ (+ (* -3 (sqrt (pow x 3))) (* 1/3 (sqrt x))) x)
(/ (+ (* -3 (sqrt (pow x 3))) (* 1/3 (sqrt x))) x)
(/ 1/3 x)
(/ (+ 1/3 (* -3 x)) x)
(/ (+ 1/3 (* -3 x)) x)
(/ (+ 1/3 (* -3 x)) x)
(/ 1/3 x)
(/ (+ 1/3 (* -3 x)) x)
(/ (+ 1/3 (* -3 x)) x)
(/ (+ 1/3 (* -3 x)) x)
(* 1/3 (sqrt (/ 1 x)))
(/ (+ (* -3 (sqrt (pow x 3))) (* 1/3 (sqrt x))) x)
(/ (+ (* -3 (sqrt (pow x 3))) (* 1/3 (sqrt x))) x)
(/ (+ (* -3 (sqrt (pow x 3))) (* 1/3 (sqrt x))) x)
(/ -1/9 x)
(/ (- (* 9 (pow x 2)) 1/9) x)
(/ (- (* 9 (pow x 2)) 1/9) x)
(/ (- (* 9 (pow x 2)) 1/9) x)
(* 1/3 (sqrt (/ 1 x)))
(/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) (- y 1)))) x)
(/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) (- y 1)))) x)
(/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) (- y 1)))) x)
(* 3 (sqrt x))
(+ (* 3 (sqrt x)) (* 27 (sqrt (pow x 3))))
(+ (* 3 (sqrt x)) (* x (+ (* 27 (sqrt x)) (* 243 (sqrt (pow x 3))))))
(+ (* 3 (sqrt x)) (* x (+ (* 27 (sqrt x)) (* x (+ (* 243 (sqrt x)) (* 2187 (sqrt (pow x 3))))))))
(/ 1/9 x)
(/ 1/9 x)
(/ 1/9 x)
(/ 1/9 x)
1/3
(+ 1/3 (* -3 x))
(+ 1/3 (* -3 x))
(+ 1/3 (* -3 x))
(/ 1/3 x)
(/ 1/3 x)
(/ 1/3 x)
(/ 1/3 x)
(* -1/3 (sqrt (/ 1 x)))
(/ (+ (* -3 (sqrt (pow x 3))) (* -1/3 (sqrt x))) x)
(/ (+ (* -3 (sqrt (pow x 3))) (* -1/3 (sqrt x))) x)
(/ (+ (* -3 (sqrt (pow x 3))) (* -1/3 (sqrt x))) x)
(* (sqrt x) (- (* 3 y) 3))
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (- (* 3 y) 3))))
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (- (* 3 y) 3))))
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (- (* 3 y) 3))))
(pow (* 1 x) 1/4)
(pow (* 1 x) 1/4)
(pow (* 1 x) 1/4)
(pow (* 1 x) 1/4)
(* (pow (* 1 x) 1/4) (- (* 3 y) 3))
(+ (* 1/3 (pow (/ 1 (pow x 3)) 1/4)) (* (pow (* 1 x) 1/4) (- (* 3 y) 3)))
(+ (* 1/3 (pow (/ 1 (pow x 3)) 1/4)) (* (pow (* 1 x) 1/4) (- (* 3 y) 3)))
(+ (* 1/3 (pow (/ 1 (pow x 3)) 1/4)) (* (pow (* 1 x) 1/4) (- (* 3 y) 3)))
(- (* 3 y) 3)
(- (+ (* 3 y) (* 1/3 (/ 1 x))) 3)
(- (+ (* 3 y) (* 1/3 (/ 1 x))) 3)
(- (+ (* 3 y) (* 1/3 (/ 1 x))) 3)
(* 3 (* (sqrt x) (- y 1)))
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) (- y 1)))))
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) (- y 1)))))
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) (- y 1)))))
(* 3 (* (sqrt x) y))
(* 3 (* (sqrt x) y))
(* 3 (* (sqrt x) y))
(* 3 (* (sqrt x) y))
(* 3 (sqrt x))
(* 3 (sqrt x))
(* 3 (sqrt x))
(* 3 (sqrt x))
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(* 3 (* (sqrt x) (- y 1)))
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) (- y 1)))))
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) (- y 1)))))
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) (- y 1)))))
(* 3 (sqrt x))
(* 3 (sqrt x))
(* 3 (sqrt x))
(* 3 (sqrt x))
(- y 1)
(- (+ y (* 1/9 (/ 1 x))) 1)
(- (+ y (* 1/9 (/ 1 x))) 1)
(- (+ y (* 1/9 (/ 1 x))) 1)
(* 3 (* (sqrt x) (- y 1)))
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) (- y 1)))))
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) (- y 1)))))
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) (- y 1)))))
(* -3 (sqrt x))
(* x (+ (* -3 (sqrt (/ 1 x))) (* 1/3 (sqrt (/ 1 (pow x 3))))))
(* x (+ (* -3 (sqrt (/ 1 x))) (* 1/3 (sqrt (/ 1 (pow x 3))))))
(* x (+ (* -3 (sqrt (/ 1 x))) (* 1/3 (sqrt (/ 1 (pow x 3))))))
-3
(- (* 1/3 (/ 1 x)) 3)
(- (* 1/3 (/ 1 x)) 3)
(- (* 1/3 (/ 1 x)) 3)
-3
(- (* 1/3 (/ 1 x)) 3)
(- (* 1/3 (/ 1 x)) 3)
(- (* 1/3 (/ 1 x)) 3)
(* -3 (sqrt x))
(* x (+ (* -3 (sqrt (/ 1 x))) (* 1/3 (sqrt (/ 1 (pow x 3))))))
(* x (+ (* -3 (sqrt (/ 1 x))) (* 1/3 (sqrt (/ 1 (pow x 3))))))
(* x (+ (* -3 (sqrt (/ 1 x))) (* 1/3 (sqrt (/ 1 (pow x 3))))))
(* 9 x)
(* x (- 9 (* 1/9 (/ 1 (pow x 2)))))
(* x (- 9 (* 1/9 (/ 1 (pow x 2)))))
(* x (- 9 (* 1/9 (/ 1 (pow x 2)))))
(* 3 (* (sqrt x) (- y 1)))
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) (- y 1)))))
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) (- y 1)))))
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) (- y 1)))))
(* -1/3 (sqrt (/ 1 x)))
(+ (* -1/3 (sqrt (/ 1 x))) (* -1/27 (sqrt (/ 1 (pow x 3)))))
(+ (* -1/3 (sqrt (/ 1 x))) (+ (* -1/27 (sqrt (/ 1 (pow x 3)))) (* -1/243 (sqrt (/ 1 (pow x 5))))))
(+ (* -1/3 (sqrt (/ 1 x))) (+ (* -1/27 (sqrt (/ 1 (pow x 3)))) (+ (* -1/243 (sqrt (/ 1 (pow x 5)))) (* -1/2187 (sqrt (/ 1 (pow x 7)))))))
(/ 1/9 x)
(/ 1/9 x)
(/ 1/9 x)
(/ 1/9 x)
(* -3 x)
(* x (- (* 1/3 (/ 1 x)) 3))
(* x (- (* 1/3 (/ 1 x)) 3))
(* x (- (* 1/3 (/ 1 x)) 3))
(/ 1/3 x)
(/ 1/3 x)
(/ 1/3 x)
(/ 1/3 x)
(* -3 (sqrt x))
(* x (+ (* -3 (sqrt (/ 1 x))) (* -1/3 (sqrt (/ 1 (pow x 3))))))
(* x (+ (* -3 (sqrt (/ 1 x))) (* -1/3 (sqrt (/ 1 (pow x 3))))))
(* x (+ (* -3 (sqrt (/ 1 x))) (* -1/3 (sqrt (/ 1 (pow x 3))))))
(* -1 (* (sqrt x) (* (pow (sqrt -1) 2) (- (* 3 y) 3))))
(* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- (* 3 y) 3))))))
(* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- (* 3 y) 3))))))
(* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- (* 3 y) 3))))))
(exp (* 1/4 (+ (log -1) (* -1 (log (/ -1 x))))))
(exp (* 1/4 (+ (log -1) (* -1 (log (/ -1 x))))))
(exp (* 1/4 (+ (log -1) (* -1 (log (/ -1 x))))))
(exp (* 1/4 (+ (log -1) (* -1 (log (/ -1 x))))))
(* (exp (* 1/4 (+ (log -1) (* -1 (log (/ -1 x)))))) (- (* 3 y) 3))
(+ (* 1/3 (/ (exp (* 1/4 (+ (log -1) (* -1 (log (/ -1 x)))))) x)) (* (exp (* 1/4 (+ (log -1) (* -1 (log (/ -1 x)))))) (- (* 3 y) 3)))
(+ (* 1/3 (/ (exp (* 1/4 (+ (log -1) (* -1 (log (/ -1 x)))))) x)) (* (exp (* 1/4 (+ (log -1) (* -1 (log (/ -1 x)))))) (- (* 3 y) 3)))
(+ (* 1/3 (/ (exp (* 1/4 (+ (log -1) (* -1 (log (/ -1 x)))))) x)) (* (exp (* 1/4 (+ (log -1) (* -1 (log (/ -1 x)))))) (- (* 3 y) 3)))
(- (* 3 y) 3)
(- (+ (* 3 y) (* 1/3 (/ 1 x))) 3)
(- (+ (* 3 y) (* 1/3 (/ 1 x))) 3)
(- (+ (* 3 y) (* 1/3 (/ 1 x))) 3)
(* -3 (* (sqrt x) (* (pow (sqrt -1) 2) (- y 1))))
(* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1)))))))
(* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1)))))))
(* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1)))))))
(* -3 (* (sqrt x) (* y (pow (sqrt -1) 2))))
(* -3 (* (sqrt x) (* y (pow (sqrt -1) 2))))
(* -3 (* (sqrt x) (* y (pow (sqrt -1) 2))))
(* -3 (* (sqrt x) (* y (pow (sqrt -1) 2))))
(* -3 (* (sqrt x) (pow (sqrt -1) 2)))
(* -3 (* (sqrt x) (pow (sqrt -1) 2)))
(* -3 (* (sqrt x) (pow (sqrt -1) 2)))
(* -3 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* -3 (* (sqrt x) (* (pow (sqrt -1) 2) (- y 1))))
(* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1)))))))
(* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1)))))))
(* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1)))))))
(* -3 (* (sqrt x) (pow (sqrt -1) 2)))
(* -3 (* (sqrt x) (pow (sqrt -1) 2)))
(* -3 (* (sqrt x) (pow (sqrt -1) 2)))
(* -3 (* (sqrt x) (pow (sqrt -1) 2)))
(- y 1)
(- (+ y (* 1/9 (/ 1 x))) 1)
(- (+ y (* 1/9 (/ 1 x))) 1)
(- (+ y (* 1/9 (/ 1 x))) 1)
(* -3 (* (sqrt x) (* (pow (sqrt -1) 2) (- y 1))))
(* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1)))))))
(* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1)))))))
(* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1)))))))
(* 3 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* x (+ (* -3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))))))
(* -1 (* x (+ (* -3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))))))
(* -1 (* x (+ (* -3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))))))
-3
(- (* 1/3 (/ 1 x)) 3)
(- (* 1/3 (/ 1 x)) 3)
(- (* 1/3 (/ 1 x)) 3)
-3
(- (* 1/3 (/ 1 x)) 3)
(- (* 1/3 (/ 1 x)) 3)
(- (* 1/3 (/ 1 x)) 3)
(* -3 (sqrt x))
(* -1 (* x (+ (* -1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (sqrt (/ 1 x))))))
(* -1 (* x (+ (* -1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (sqrt (/ 1 x))))))
(* -1 (* x (+ (* -1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (sqrt (/ 1 x))))))
(* 9 x)
(* -1 (* x (- (* 1/9 (/ 1 (pow x 2))) 9)))
(* -1 (* x (- (* 1/9 (/ 1 (pow x 2))) 9)))
(* -1 (* x (- (* 1/9 (/ 1 (pow x 2))) 9)))
(* -3 (* (sqrt x) (* (pow (sqrt -1) 2) (- y 1))))
(* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1)))))))
(* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1)))))))
(* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1)))))))
(* 1/3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))
(+ (* 1/27 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 1/3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))
(+ (* -1 (/ (+ (* -1/27 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* -1/243 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))) x)) (* 1/3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))
(+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2187 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 1/243 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x)) (* -1/27 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x)) (* 1/3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))
(/ 1/9 x)
(/ 1/9 x)
(/ 1/9 x)
(/ 1/9 x)
(* -3 x)
(* -1 (* x (- 3 (* 1/3 (/ 1 x)))))
(* -1 (* x (- 3 (* 1/3 (/ 1 x)))))
(* -1 (* x (- 3 (* 1/3 (/ 1 x)))))
(/ 1/3 x)
(/ 1/3 x)
(/ 1/3 x)
(/ 1/3 x)
(* 3 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* x (+ (* -3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* -1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))))))
(* -1 (* x (+ (* -3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* -1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))))))
(* -1 (* x (+ (* -3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* -1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))))))
Outputs
(* (sqrt x) (- (* 1/3 (/ 1 x)) 3))
(*.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 3 binary64)) (sqrt.f64 x))
(+ (* 3 (* (sqrt x) y)) (* (sqrt x) (- (* 1/3 (/ 1 x)) 3)))
(*.f64 (sqrt.f64 x) (fma.f64 y #s(literal 3 binary64) (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 3 binary64))))
(+ (* 3 (* (sqrt x) y)) (* (sqrt x) (- (* 1/3 (/ 1 x)) 3)))
(*.f64 (sqrt.f64 x) (fma.f64 y #s(literal 3 binary64) (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 3 binary64))))
(+ (* 3 (* (sqrt x) y)) (* (sqrt x) (- (* 1/3 (/ 1 x)) 3)))
(*.f64 (sqrt.f64 x) (fma.f64 y #s(literal 3 binary64) (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 3 binary64))))
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(-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 3 binary64))
(* -3 (sqrt x))
(*.f64 #s(literal -3 binary64) (sqrt.f64 x))
(* -1 (* x (+ (* -1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (sqrt (/ 1 x))))))
(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/3 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -3 binary64))) x)
(* -1 (* x (+ (* -1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (sqrt (/ 1 x))))))
(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/3 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -3 binary64))) x)
(* -1 (* x (+ (* -1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (sqrt (/ 1 x))))))
(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/3 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -3 binary64))) x)
(* 9 x)
(*.f64 #s(literal 9 binary64) x)
(* -1 (* x (- (* 1/9 (/ 1 (pow x 2))) 9)))
(fma.f64 (/.f64 #s(literal -1/9 binary64) x) #s(literal 1 binary64) (*.f64 #s(literal 9 binary64) x))
(* -1 (* x (- (* 1/9 (/ 1 (pow x 2))) 9)))
(fma.f64 (/.f64 #s(literal -1/9 binary64) x) #s(literal 1 binary64) (*.f64 #s(literal 9 binary64) x))
(* -1 (* x (- (* 1/9 (/ 1 (pow x 2))) 9)))
(fma.f64 (/.f64 #s(literal -1/9 binary64) x) #s(literal 1 binary64) (*.f64 #s(literal 9 binary64) x))
(* -3 (* (sqrt x) (* (pow (sqrt -1) 2) (- y 1))))
(*.f64 (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 x))
(* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1)))))))
(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/3 binary64) (*.f64 (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) x)
(* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1)))))))
(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/3 binary64) (*.f64 (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) x)
(* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1)))))))
(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/3 binary64) (*.f64 (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) x)
(* 1/3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))
(*.f64 #s(literal -1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(+ (* 1/27 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 1/3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))
(fma.f64 #s(literal -1/27 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (*.f64 #s(literal -1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
(+ (* -1 (/ (+ (* -1/27 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* -1/243 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))) x)) (* 1/3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))
(fma.f64 #s(literal -1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 (fma.f64 #s(literal -1/243 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (*.f64 #s(literal -1/27 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) x))
(+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2187 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 1/243 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x)) (* -1/27 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x)) (* 1/3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))
(fma.f64 #s(literal -1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 (fma.f64 #s(literal -1/27 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 (fma.f64 #s(literal -1/2187 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (*.f64 #s(literal -1/243 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) x)) x))
(/ 1/9 x)
(/.f64 #s(literal 1/9 binary64) x)
(/ 1/9 x)
(/.f64 #s(literal 1/9 binary64) x)
(/ 1/9 x)
(/.f64 #s(literal 1/9 binary64) x)
(/ 1/9 x)
(/.f64 #s(literal 1/9 binary64) x)
(* -3 x)
(*.f64 #s(literal -3 binary64) x)
(* -1 (* x (- 3 (* 1/3 (/ 1 x)))))
(fma.f64 #s(literal -3 binary64) x #s(literal 1/3 binary64))
(* -1 (* x (- 3 (* 1/3 (/ 1 x)))))
(fma.f64 #s(literal -3 binary64) x #s(literal 1/3 binary64))
(* -1 (* x (- 3 (* 1/3 (/ 1 x)))))
(fma.f64 #s(literal -3 binary64) x #s(literal 1/3 binary64))
(/ 1/3 x)
(/.f64 #s(literal 1/3 binary64) x)
(/ 1/3 x)
(/.f64 #s(literal 1/3 binary64) x)
(/ 1/3 x)
(/.f64 #s(literal 1/3 binary64) x)
(/ 1/3 x)
(/.f64 #s(literal 1/3 binary64) x)
(* 3 (* (sqrt x) (pow (sqrt -1) 2)))
(*.f64 #s(literal -3 binary64) (sqrt.f64 x))
(* -1 (* x (+ (* -3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* -1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))))))
(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal -1/3 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -3 binary64))) x)
(* -1 (* x (+ (* -3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* -1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))))))
(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal -1/3 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -3 binary64))) x)
(* -1 (* x (+ (* -3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* -1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))))))
(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal -1/3 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -3 binary64))) x)

rewrite132.0ms (1.8%)

Memory
-21.3MiB live, 260.5MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
051262
075262
1307243
22488243
08143239
Stop Event
iter limit
node limit
iter limit
Counts
23 → 489
Calls
Call 1
Inputs
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (*.f64 (pow.f64 x #s(literal 1/4 binary64)) (fma.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 3 binary64) #s(literal -3 binary64))))
(pow.f64 x #s(literal 1/4 binary64))
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (fma.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 3 binary64) #s(literal -3 binary64)))
(fma.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 3 binary64) #s(literal -3 binary64))
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) y))
(*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) y)
(*.f64 (sqrt.f64 x) #s(literal 3 binary64))
(sqrt.f64 x)
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) #s(approx (- (+ y (/ (/ -1 x) -9)) 1) (-.f64 y #s(literal 1 binary64))))
(*.f64 #s(literal 3 binary64) (sqrt.f64 x))
#s(approx (- (+ y (/ (/ -1 x) -9)) 1) (-.f64 y #s(literal 1 binary64)))
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 #s(approx (+ (/ 1/3 x) -3) (/.f64 (fma.f64 #s(literal -3 binary64) x #s(literal 1/3 binary64)) x)) (sqrt.f64 x)))
(*.f64 #s(approx (+ (/ 1/3 x) -3) (/.f64 (fma.f64 #s(literal -3 binary64) x #s(literal 1/3 binary64)) x)) (sqrt.f64 x))
#s(approx (+ (/ 1/3 x) -3) (/.f64 (fma.f64 #s(literal -3 binary64) x #s(literal 1/3 binary64)) x))
(/.f64 (fma.f64 #s(literal -3 binary64) x #s(literal 1/3 binary64)) x)
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sqrt.f64 x) (-.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))) (-.f64 (*.f64 #s(literal 9 binary64) x) (/.f64 #s(literal 1/9 binary64) x))))
(-.f64 (*.f64 #s(literal 9 binary64) x) (/.f64 #s(literal 1/9 binary64) x))
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sqrt.f64 x) (-.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))) (-.f64 (*.f64 #s(literal 9 binary64) x) (/.f64 #s(literal 1/9 binary64) x)))))
(/.f64 (*.f64 (sqrt.f64 x) (-.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))) (-.f64 (*.f64 #s(literal 9 binary64) x) (/.f64 #s(literal 1/9 binary64) x)))
(/.f64 #s(literal 1/9 binary64) x)
(fma.f64 #s(literal -3 binary64) x #s(literal 1/3 binary64))
(/.f64 #s(literal 1/3 binary64) x)
(*.f64 (sqrt.f64 x) (-.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)))
Outputs
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eval136.0ms (1.8%)

Memory
29.1MiB live, 338.4MiB allocated
Compiler

Compiled 19 531 to 2 773 computations (85.8% saved)

prune74.0ms (1%)

Memory
-5.9MiB live, 165.7MiB allocated
Pruning

25 alts after pruning (16 fresh and 9 done)

PrunedKeptTotal
New1 00381 011
Fresh4812
Picked235
Done066
Total1 009251 034
Accuracy
100.0%
Counts
1 034 → 25
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.5%
(*.f64 (*.f64 (-.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 1 binary64)) (sqrt.f64 x)) #s(literal 3 binary64))
33.0%
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) #s(approx (- (+ y (/ (/ -1 x) -9)) 1) (/.f64 #s(literal 1/9 binary64) x)))
67.3%
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) #s(approx (- (+ y (/ (/ -1 x) -9)) 1) (-.f64 y #s(literal 1 binary64))))
68.7%
#s(approx (* (pow x 1/4) (* (pow x 1/4) (+ (* (+ y (/ 1/9 x)) 3) -3))) (*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/3 binary64) (*.f64 (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) x))
67.3%
#s(approx (* (pow x 1/4) (* (pow x 1/4) (+ (* (+ y (/ 1/9 x)) 3) -3))) (*.f64 (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 x)))
33.1%
#s(approx (* (* (- (+ y (/ 1/9 x)) 1) (sqrt x)) 3) (/.f64 (sqrt.f64 x) (*.f64 x #s(literal 3 binary64))))
33.1%
#s(approx (* (* (- (+ y (/ 1/9 x)) 1) (sqrt x)) 3) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)))
33.1%
#s(approx (* (* (- (+ y (/ 1/9 x)) 1) (sqrt x)) 3) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1/3 binary64)))
33.1%
#s(approx (* (* (- (+ y (/ 1/9 x)) 1) (sqrt x)) 3) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64)))
99.4%
#s(approx (* (* (- (+ y (/ 1/9 x)) 1) (sqrt x)) 3) (*.f64 (sqrt.f64 x) (fma.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))))
39.5%
#s(approx (* (* (- (+ y (/ 1/9 x)) 1) (sqrt x)) 3) (*.f64 (sqrt.f64 x) #s(approx (+ (* (- 1 y) -3) (/ 1/3 x)) (*.f64 y #s(literal 3 binary64)))))
62.1%
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (fma.f64 (sqrt.f64 x) #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x))))
61.9%
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (/.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)))))
33.1%
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (/.f64 #s(literal 1 binary64) #s(approx (/ (* (sqrt x) (- -3 (/ 1/3 x))) (- (* 9 x) (/ 1/9 x))) (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))))
29.9%
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (/.f64 #s(literal 1 binary64) #s(approx (/ (* (sqrt x) (- -3 (/ 1/3 x))) (- (* 9 x) (/ 1/9 x))) (*.f64 #s(literal -1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))))
62.0%
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64)) (sqrt.f64 x)))
39.2%
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 (pow.f64 (pow.f64 x #s(literal 1/8 binary64)) #s(literal 4 binary64)) #s(literal 3 binary64)) y))
39.5%
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) y))
28.6%
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 y (pow.f64 (*.f64 x x) #s(literal 1/4 binary64))) #s(literal 3 binary64)))
39.5%
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64)))
61.9%
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 #s(approx (+ (/ 1/3 x) -3) (/.f64 (fma.f64 #s(literal -3 binary64) x #s(literal 1/3 binary64)) x)) (sqrt.f64 x)))
49.6%
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 #s(approx (+ (/ 1/3 x) -3) (/.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal 9 binary64) #s(literal -1/9 binary64)) (fma.f64 #s(literal -3 binary64) x #s(literal -1/3 binary64))) x)) (sqrt.f64 x)))
30.0%
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 #s(approx (+ (/ 1/3 x) -3) (/.f64 #s(approx (+ (* -3 x) 1/3) (*.f64 #s(literal -3 binary64) x)) x)) (sqrt.f64 x)))
61.8%
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 #s(approx (+ (/ 1/3 x) -3) (/.f64 #s(literal 1 binary64) (/.f64 x (fma.f64 #s(literal -3 binary64) x #s(literal 1/3 binary64))))) (sqrt.f64 x)))
30.0%
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 #s(approx (+ (/ 1/3 x) -3) #s(literal -3 binary64)) (sqrt.f64 x)))
Compiler

Compiled 1 023 to 474 computations (53.7% saved)

regimes62.0ms (0.8%)

Memory
-9.0MiB live, 104.1MiB allocated
Counts
60 → 1
Calls
Call 1
Inputs
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 #s(approx (+ (/ 1/3 x) -3) #s(literal -3 binary64)) (sqrt.f64 x)))
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 y #s(literal 3 binary64)) (sqrt.f64 x)))
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64)))
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) y))
#s(approx (* (* (- (+ y (/ 1/9 x)) 1) (sqrt x)) 3) (*.f64 (sqrt.f64 x) #s(approx (+ (* (- 1 y) -3) (/ 1/3 x)) (*.f64 y #s(literal 3 binary64)))))
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 x)))
#s(approx (* (* (- (+ y (/ 1/9 x)) 1) (sqrt x)) 3) (*.f64 (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 x)))
#s(approx (* (* (- (+ y (/ 1/9 x)) 1) (sqrt x)) 3) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)))
#s(approx (* (pow x 1/4) (* (pow x 1/4) (+ (* (+ y (/ 1/9 x)) 3) -3))) (*.f64 (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 x)))
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) #s(approx (- (+ y (/ 1 (* x 9))) 1) (-.f64 y #s(literal 1 binary64))))
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) #s(approx (- (+ y (/ (/ -1 x) -9)) 1) (-.f64 y #s(literal 1 binary64))))
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 #s(approx (+ (/ 1/3 x) -3) (/.f64 #s(literal 1/3 binary64) x)) (sqrt.f64 x)))
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64)))
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (/.f64 #s(literal 1 binary64) #s(approx (/ (* (sqrt x) (- -3 (/ 1/3 x))) (- (* 9 x) (/ 1/9 x))) (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))))
#s(approx (* (* (- (+ y (/ 1/9 x)) 1) (sqrt x)) 3) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64)))
#s(approx (* (* (- (+ y (/ 1/9 x)) 1) (sqrt x)) 3) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1/3 binary64)))
#s(approx (* (* (- (+ y (/ 1/9 x)) 1) (sqrt x)) 3) (/.f64 (sqrt.f64 x) (*.f64 x #s(literal 3 binary64))))
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64)) (sqrt.f64 x)))
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 #s(approx (+ (/ 1/3 x) -3) (/.f64 #s(approx (+ (* -3 x) 1/3) (*.f64 #s(literal -3 binary64) x)) x)) (sqrt.f64 x)))
(*.f64 #s(approx (* (- (+ y (/ 1/9 x)) 1) (sqrt x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/9 binary64))) #s(literal 3 binary64))
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) #s(approx (- (+ y (/ 1 (* x 9))) 1) (/.f64 #s(literal 1/9 binary64) x)))
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) #s(approx (- (+ y (/ (/ -1 x) -9)) 1) (/.f64 #s(literal 1/9 binary64) x)))
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 #s(approx (+ (/ 1/3 x) -3) (/.f64 (fma.f64 #s(literal -3 binary64) x #s(literal 1/3 binary64)) x)) (sqrt.f64 x)))
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (fma.f64 #s(literal -1/3 binary64) (/.f64 #s(literal -1 binary64) x) #s(literal -3 binary64)) (sqrt.f64 x)))
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 3 binary64))) #s(literal -3 binary64)) (sqrt.f64 x)))
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) #s(approx (- (+ y (/ 1 (* x 9))) 1) (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64))))
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 x) (fma.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))))
#s(approx (* (* (- (+ y (/ 1/9 x)) 1) (sqrt x)) 3) (*.f64 (sqrt.f64 x) (fma.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))))
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (/.f64 #s(literal 1 binary64) #s(approx (/ (* (sqrt x) (- -3 (/ 1/3 x))) (- (* 9 x) (/ 1/9 x))) (*.f64 #s(literal -1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))))
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (fma.f64 (sqrt.f64 x) #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x))))
(*.f64 (*.f64 (-.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 1 binary64)) (sqrt.f64 x)) #s(literal 3 binary64))
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (fma.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1/9 binary64) (-.f64 y #s(literal 1 binary64))))
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (fma.f64 (sqrt.f64 x) #s(literal -3 binary64) (*.f64 (sqrt.f64 x) (/.f64 #s(literal 1/3 binary64) x))))
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64)))
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 #s(approx (+ (/ 1/3 x) -3) (/.f64 #s(literal 1 binary64) (/.f64 x (fma.f64 #s(literal -3 binary64) x #s(literal 1/3 binary64))))) (sqrt.f64 x)))
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (/.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)))))
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -9 binary64))) #s(literal 1 binary64)))
(fma.f64 (sqrt.f64 x) #s(literal -3 binary64) (*.f64 (*.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 3 binary64)) (sqrt.f64 x)))
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 #s(approx (+ (/ 1/3 x) -3) (/.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal 9 binary64) #s(literal -1/9 binary64)) (fma.f64 #s(literal -3 binary64) x #s(literal -1/3 binary64))) x)) (sqrt.f64 x)))
(fma.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) (sqrt.f64 x)) #s(literal 3 binary64) (*.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64))))
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (/.f64 (-.f64 (*.f64 #s(literal 9 binary64) x) (/.f64 #s(literal 1/9 binary64) x)) (*.f64 (sqrt.f64 x) (-.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)))))
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sqrt.f64 x) (-.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))) (-.f64 (*.f64 #s(literal 9 binary64) x) (/.f64 #s(literal 1/9 binary64) x)))))
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 y (pow.f64 (*.f64 x x) #s(literal 1/4 binary64))) #s(literal 3 binary64)))
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64)) (pow.f64 (*.f64 x x) #s(literal 1/4 binary64))))
(*.f64 (*.f64 #s(literal 3 binary64) (pow.f64 (*.f64 x x) #s(literal 1/4 binary64))) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64)))
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) #s(approx (* (+ (/ 1/3 x) -3) (sqrt x)) (/.f64 (fma.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) #s(literal -3 binary64) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) x)))
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (/.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/9 binary64) #s(literal -9 binary64)) (sqrt.f64 x)) (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64))))
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (/.f64 (fma.f64 (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) x))
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (/.f64 #s(literal -1 binary64) (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64))) (*.f64 (fma.f64 #s(literal -1/9 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal 9 binary64)) (sqrt.f64 x))))
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/9 binary64) #s(literal -9 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64))))) (sqrt.f64 x)))
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64)) (*.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/9 binary64) #s(literal -9 binary64)) (sqrt.f64 x)))))
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (fma.f64 (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/3 binary64))) x))
#s(approx (* (* (- (+ y (/ 1/9 x)) 1) (sqrt x)) 3) (*.f64 (fma.f64 (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/3 binary64))) x))
#s(approx (* (pow x 1/4) (* (pow x 1/4) (+ (* (+ y (/ 1/9 x)) 3) -3))) (*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/3 binary64) (*.f64 (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) x))
(*.f64 #s(approx (* (- (+ y (/ 1/9 x)) 1) (sqrt x)) (*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/9 binary64) (*.f64 (-.f64 y #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) x)) #s(literal 3 binary64))
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 (pow.f64 (pow.f64 x #s(literal 1/8 binary64)) #s(literal 4 binary64)) #s(literal 3 binary64)) y))
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (*.f64 (pow.f64 x #s(literal 1/4 binary64)) (fma.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 3 binary64) #s(literal -3 binary64))))
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (pow.f64 (pow.f64 (*.f64 #s(literal 9 binary64) x) #s(literal -1/2 binary64)) #s(literal 2 binary64))) #s(literal 1 binary64)))
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/9 binary64) #s(literal -9 binary64)) (sqrt.f64 x)) (pow.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64)) #s(literal -1 binary64))))
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 3 binary64)) (sqrt.f64 x)) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal -3 binary64) (sqrt.f64 x)) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 3 binary64)) (sqrt.f64 x)) (*.f64 (*.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 3 binary64)) (sqrt.f64 x)) (-.f64 (*.f64 (*.f64 #s(literal -3 binary64) (sqrt.f64 x)) (*.f64 #s(literal -3 binary64) (sqrt.f64 x))) (*.f64 (*.f64 (*.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 3 binary64)) (sqrt.f64 x)) (*.f64 #s(literal -3 binary64) (sqrt.f64 x))))))
Outputs
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -9 binary64))) #s(literal 1 binary64)))
Calls

3 calls:

20.0ms
x
20.0ms
y
18.0ms
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64)))
Results
AccuracySegmentsBranch
99.5%1x
99.5%1y
99.5%1(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64)))
Compiler

Compiled 16 to 16 computations (0% saved)

regimes36.0ms (0.5%)

Memory
22.6MiB live, 66.5MiB allocated
Counts
36 → 1
Calls
Call 1
Inputs
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 #s(approx (+ (/ 1/3 x) -3) #s(literal -3 binary64)) (sqrt.f64 x)))
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 y #s(literal 3 binary64)) (sqrt.f64 x)))
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64)))
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) y))
#s(approx (* (* (- (+ y (/ 1/9 x)) 1) (sqrt x)) 3) (*.f64 (sqrt.f64 x) #s(approx (+ (* (- 1 y) -3) (/ 1/3 x)) (*.f64 y #s(literal 3 binary64)))))
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 x)))
#s(approx (* (* (- (+ y (/ 1/9 x)) 1) (sqrt x)) 3) (*.f64 (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 x)))
#s(approx (* (* (- (+ y (/ 1/9 x)) 1) (sqrt x)) 3) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)))
#s(approx (* (pow x 1/4) (* (pow x 1/4) (+ (* (+ y (/ 1/9 x)) 3) -3))) (*.f64 (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 x)))
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) #s(approx (- (+ y (/ 1 (* x 9))) 1) (-.f64 y #s(literal 1 binary64))))
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) #s(approx (- (+ y (/ (/ -1 x) -9)) 1) (-.f64 y #s(literal 1 binary64))))
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 #s(approx (+ (/ 1/3 x) -3) (/.f64 #s(literal 1/3 binary64) x)) (sqrt.f64 x)))
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64)))
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (/.f64 #s(literal 1 binary64) #s(approx (/ (* (sqrt x) (- -3 (/ 1/3 x))) (- (* 9 x) (/ 1/9 x))) (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))))
#s(approx (* (* (- (+ y (/ 1/9 x)) 1) (sqrt x)) 3) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64)))
#s(approx (* (* (- (+ y (/ 1/9 x)) 1) (sqrt x)) 3) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1/3 binary64)))
#s(approx (* (* (- (+ y (/ 1/9 x)) 1) (sqrt x)) 3) (/.f64 (sqrt.f64 x) (*.f64 x #s(literal 3 binary64))))
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64)) (sqrt.f64 x)))
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 #s(approx (+ (/ 1/3 x) -3) (/.f64 #s(approx (+ (* -3 x) 1/3) (*.f64 #s(literal -3 binary64) x)) x)) (sqrt.f64 x)))
(*.f64 #s(approx (* (- (+ y (/ 1/9 x)) 1) (sqrt x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/9 binary64))) #s(literal 3 binary64))
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) #s(approx (- (+ y (/ 1 (* x 9))) 1) (/.f64 #s(literal 1/9 binary64) x)))
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) #s(approx (- (+ y (/ (/ -1 x) -9)) 1) (/.f64 #s(literal 1/9 binary64) x)))
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 #s(approx (+ (/ 1/3 x) -3) (/.f64 (fma.f64 #s(literal -3 binary64) x #s(literal 1/3 binary64)) x)) (sqrt.f64 x)))
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (fma.f64 #s(literal -1/3 binary64) (/.f64 #s(literal -1 binary64) x) #s(literal -3 binary64)) (sqrt.f64 x)))
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 3 binary64))) #s(literal -3 binary64)) (sqrt.f64 x)))
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) #s(approx (- (+ y (/ 1 (* x 9))) 1) (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64))))
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 x) (fma.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))))
#s(approx (* (* (- (+ y (/ 1/9 x)) 1) (sqrt x)) 3) (*.f64 (sqrt.f64 x) (fma.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))))
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (/.f64 #s(literal 1 binary64) #s(approx (/ (* (sqrt x) (- -3 (/ 1/3 x))) (- (* 9 x) (/ 1/9 x))) (*.f64 #s(literal -1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))))
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (fma.f64 (sqrt.f64 x) #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x))))
(*.f64 (*.f64 (-.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 1 binary64)) (sqrt.f64 x)) #s(literal 3 binary64))
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (fma.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1/9 binary64) (-.f64 y #s(literal 1 binary64))))
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (fma.f64 (sqrt.f64 x) #s(literal -3 binary64) (*.f64 (sqrt.f64 x) (/.f64 #s(literal 1/3 binary64) x))))
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64)))
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 #s(approx (+ (/ 1/3 x) -3) (/.f64 #s(literal 1 binary64) (/.f64 x (fma.f64 #s(literal -3 binary64) x #s(literal 1/3 binary64))))) (sqrt.f64 x)))
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (/.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)))))
Outputs
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64)))
Calls

3 calls:

14.0ms
y
10.0ms
x
10.0ms
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64)))
Results
AccuracySegmentsBranch
99.5%1x
99.5%1y
99.5%1(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64)))
Compiler

Compiled 16 to 16 computations (0% saved)

regimes36.0ms (0.5%)

Memory
-15.5MiB live, 100.0MiB allocated
Counts
33 → 1
Calls
Call 1
Inputs
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 #s(approx (+ (/ 1/3 x) -3) #s(literal -3 binary64)) (sqrt.f64 x)))
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 y #s(literal 3 binary64)) (sqrt.f64 x)))
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64)))
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) y))
#s(approx (* (* (- (+ y (/ 1/9 x)) 1) (sqrt x)) 3) (*.f64 (sqrt.f64 x) #s(approx (+ (* (- 1 y) -3) (/ 1/3 x)) (*.f64 y #s(literal 3 binary64)))))
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 x)))
#s(approx (* (* (- (+ y (/ 1/9 x)) 1) (sqrt x)) 3) (*.f64 (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 x)))
#s(approx (* (* (- (+ y (/ 1/9 x)) 1) (sqrt x)) 3) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)))
#s(approx (* (pow x 1/4) (* (pow x 1/4) (+ (* (+ y (/ 1/9 x)) 3) -3))) (*.f64 (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 x)))
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) #s(approx (- (+ y (/ 1 (* x 9))) 1) (-.f64 y #s(literal 1 binary64))))
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) #s(approx (- (+ y (/ (/ -1 x) -9)) 1) (-.f64 y #s(literal 1 binary64))))
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 #s(approx (+ (/ 1/3 x) -3) (/.f64 #s(literal 1/3 binary64) x)) (sqrt.f64 x)))
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64)))
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (/.f64 #s(literal 1 binary64) #s(approx (/ (* (sqrt x) (- -3 (/ 1/3 x))) (- (* 9 x) (/ 1/9 x))) (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))))
#s(approx (* (* (- (+ y (/ 1/9 x)) 1) (sqrt x)) 3) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64)))
#s(approx (* (* (- (+ y (/ 1/9 x)) 1) (sqrt x)) 3) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1/3 binary64)))
#s(approx (* (* (- (+ y (/ 1/9 x)) 1) (sqrt x)) 3) (/.f64 (sqrt.f64 x) (*.f64 x #s(literal 3 binary64))))
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64)) (sqrt.f64 x)))
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 #s(approx (+ (/ 1/3 x) -3) (/.f64 #s(approx (+ (* -3 x) 1/3) (*.f64 #s(literal -3 binary64) x)) x)) (sqrt.f64 x)))
(*.f64 #s(approx (* (- (+ y (/ 1/9 x)) 1) (sqrt x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/9 binary64))) #s(literal 3 binary64))
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) #s(approx (- (+ y (/ 1 (* x 9))) 1) (/.f64 #s(literal 1/9 binary64) x)))
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) #s(approx (- (+ y (/ (/ -1 x) -9)) 1) (/.f64 #s(literal 1/9 binary64) x)))
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 #s(approx (+ (/ 1/3 x) -3) (/.f64 (fma.f64 #s(literal -3 binary64) x #s(literal 1/3 binary64)) x)) (sqrt.f64 x)))
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (fma.f64 #s(literal -1/3 binary64) (/.f64 #s(literal -1 binary64) x) #s(literal -3 binary64)) (sqrt.f64 x)))
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 3 binary64))) #s(literal -3 binary64)) (sqrt.f64 x)))
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) #s(approx (- (+ y (/ 1 (* x 9))) 1) (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64))))
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 x) (fma.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))))
#s(approx (* (* (- (+ y (/ 1/9 x)) 1) (sqrt x)) 3) (*.f64 (sqrt.f64 x) (fma.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))))
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (/.f64 #s(literal 1 binary64) #s(approx (/ (* (sqrt x) (- -3 (/ 1/3 x))) (- (* 9 x) (/ 1/9 x))) (*.f64 #s(literal -1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))))
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (fma.f64 (sqrt.f64 x) #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x))))
(*.f64 (*.f64 (-.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 1 binary64)) (sqrt.f64 x)) #s(literal 3 binary64))
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (fma.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1/9 binary64) (-.f64 y #s(literal 1 binary64))))
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (fma.f64 (sqrt.f64 x) #s(literal -3 binary64) (*.f64 (sqrt.f64 x) (/.f64 #s(literal 1/3 binary64) x))))
Outputs
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (fma.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1/9 binary64) (-.f64 y #s(literal 1 binary64))))
Calls

3 calls:

13.0ms
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64)))
11.0ms
y
10.0ms
x
Results
AccuracySegmentsBranch
99.5%1x
99.5%1y
99.5%1(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64)))
Compiler

Compiled 16 to 16 computations (0% saved)

regimes32.0ms (0.4%)

Memory
-15.5MiB live, 108.5MiB allocated
Counts
31 → 1
Calls
Call 1
Inputs
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 #s(approx (+ (/ 1/3 x) -3) #s(literal -3 binary64)) (sqrt.f64 x)))
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 y #s(literal 3 binary64)) (sqrt.f64 x)))
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64)))
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) y))
#s(approx (* (* (- (+ y (/ 1/9 x)) 1) (sqrt x)) 3) (*.f64 (sqrt.f64 x) #s(approx (+ (* (- 1 y) -3) (/ 1/3 x)) (*.f64 y #s(literal 3 binary64)))))
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 x)))
#s(approx (* (* (- (+ y (/ 1/9 x)) 1) (sqrt x)) 3) (*.f64 (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 x)))
#s(approx (* (* (- (+ y (/ 1/9 x)) 1) (sqrt x)) 3) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)))
#s(approx (* (pow x 1/4) (* (pow x 1/4) (+ (* (+ y (/ 1/9 x)) 3) -3))) (*.f64 (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 x)))
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) #s(approx (- (+ y (/ 1 (* x 9))) 1) (-.f64 y #s(literal 1 binary64))))
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) #s(approx (- (+ y (/ (/ -1 x) -9)) 1) (-.f64 y #s(literal 1 binary64))))
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 #s(approx (+ (/ 1/3 x) -3) (/.f64 #s(literal 1/3 binary64) x)) (sqrt.f64 x)))
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64)))
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (/.f64 #s(literal 1 binary64) #s(approx (/ (* (sqrt x) (- -3 (/ 1/3 x))) (- (* 9 x) (/ 1/9 x))) (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))))
#s(approx (* (* (- (+ y (/ 1/9 x)) 1) (sqrt x)) 3) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64)))
#s(approx (* (* (- (+ y (/ 1/9 x)) 1) (sqrt x)) 3) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1/3 binary64)))
#s(approx (* (* (- (+ y (/ 1/9 x)) 1) (sqrt x)) 3) (/.f64 (sqrt.f64 x) (*.f64 x #s(literal 3 binary64))))
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64)) (sqrt.f64 x)))
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 #s(approx (+ (/ 1/3 x) -3) (/.f64 #s(approx (+ (* -3 x) 1/3) (*.f64 #s(literal -3 binary64) x)) x)) (sqrt.f64 x)))
(*.f64 #s(approx (* (- (+ y (/ 1/9 x)) 1) (sqrt x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/9 binary64))) #s(literal 3 binary64))
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) #s(approx (- (+ y (/ 1 (* x 9))) 1) (/.f64 #s(literal 1/9 binary64) x)))
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) #s(approx (- (+ y (/ (/ -1 x) -9)) 1) (/.f64 #s(literal 1/9 binary64) x)))
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 #s(approx (+ (/ 1/3 x) -3) (/.f64 (fma.f64 #s(literal -3 binary64) x #s(literal 1/3 binary64)) x)) (sqrt.f64 x)))
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (fma.f64 #s(literal -1/3 binary64) (/.f64 #s(literal -1 binary64) x) #s(literal -3 binary64)) (sqrt.f64 x)))
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 3 binary64))) #s(literal -3 binary64)) (sqrt.f64 x)))
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) #s(approx (- (+ y (/ 1 (* x 9))) 1) (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64))))
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 x) (fma.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))))
#s(approx (* (* (- (+ y (/ 1/9 x)) 1) (sqrt x)) 3) (*.f64 (sqrt.f64 x) (fma.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))))
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (/.f64 #s(literal 1 binary64) #s(approx (/ (* (sqrt x) (- -3 (/ 1/3 x))) (- (* 9 x) (/ 1/9 x))) (*.f64 #s(literal -1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))))
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (fma.f64 (sqrt.f64 x) #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x))))
(*.f64 (*.f64 (-.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 1 binary64)) (sqrt.f64 x)) #s(literal 3 binary64))
Outputs
(*.f64 (*.f64 (-.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 1 binary64)) (sqrt.f64 x)) #s(literal 3 binary64))
Calls

3 calls:

10.0ms
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64)))
10.0ms
y
9.0ms
x
Results
AccuracySegmentsBranch
99.5%1x
99.5%1y
99.5%1(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64)))
Compiler

Compiled 16 to 16 computations (0% saved)

regimes28.0ms (0.4%)

Memory
31.0MiB live, 70.3MiB allocated
Counts
30 → 1
Calls
Call 1
Inputs
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 #s(approx (+ (/ 1/3 x) -3) #s(literal -3 binary64)) (sqrt.f64 x)))
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 y #s(literal 3 binary64)) (sqrt.f64 x)))
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64)))
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) y))
#s(approx (* (* (- (+ y (/ 1/9 x)) 1) (sqrt x)) 3) (*.f64 (sqrt.f64 x) #s(approx (+ (* (- 1 y) -3) (/ 1/3 x)) (*.f64 y #s(literal 3 binary64)))))
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 x)))
#s(approx (* (* (- (+ y (/ 1/9 x)) 1) (sqrt x)) 3) (*.f64 (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 x)))
#s(approx (* (* (- (+ y (/ 1/9 x)) 1) (sqrt x)) 3) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)))
#s(approx (* (pow x 1/4) (* (pow x 1/4) (+ (* (+ y (/ 1/9 x)) 3) -3))) (*.f64 (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 x)))
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) #s(approx (- (+ y (/ 1 (* x 9))) 1) (-.f64 y #s(literal 1 binary64))))
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) #s(approx (- (+ y (/ (/ -1 x) -9)) 1) (-.f64 y #s(literal 1 binary64))))
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 #s(approx (+ (/ 1/3 x) -3) (/.f64 #s(literal 1/3 binary64) x)) (sqrt.f64 x)))
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64)))
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (/.f64 #s(literal 1 binary64) #s(approx (/ (* (sqrt x) (- -3 (/ 1/3 x))) (- (* 9 x) (/ 1/9 x))) (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))))
#s(approx (* (* (- (+ y (/ 1/9 x)) 1) (sqrt x)) 3) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64)))
#s(approx (* (* (- (+ y (/ 1/9 x)) 1) (sqrt x)) 3) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1/3 binary64)))
#s(approx (* (* (- (+ y (/ 1/9 x)) 1) (sqrt x)) 3) (/.f64 (sqrt.f64 x) (*.f64 x #s(literal 3 binary64))))
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64)) (sqrt.f64 x)))
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 #s(approx (+ (/ 1/3 x) -3) (/.f64 #s(approx (+ (* -3 x) 1/3) (*.f64 #s(literal -3 binary64) x)) x)) (sqrt.f64 x)))
(*.f64 #s(approx (* (- (+ y (/ 1/9 x)) 1) (sqrt x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/9 binary64))) #s(literal 3 binary64))
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) #s(approx (- (+ y (/ 1 (* x 9))) 1) (/.f64 #s(literal 1/9 binary64) x)))
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) #s(approx (- (+ y (/ (/ -1 x) -9)) 1) (/.f64 #s(literal 1/9 binary64) x)))
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 #s(approx (+ (/ 1/3 x) -3) (/.f64 (fma.f64 #s(literal -3 binary64) x #s(literal 1/3 binary64)) x)) (sqrt.f64 x)))
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (fma.f64 #s(literal -1/3 binary64) (/.f64 #s(literal -1 binary64) x) #s(literal -3 binary64)) (sqrt.f64 x)))
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 3 binary64))) #s(literal -3 binary64)) (sqrt.f64 x)))
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) #s(approx (- (+ y (/ 1 (* x 9))) 1) (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64))))
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 x) (fma.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))))
#s(approx (* (* (- (+ y (/ 1/9 x)) 1) (sqrt x)) 3) (*.f64 (sqrt.f64 x) (fma.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))))
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (/.f64 #s(literal 1 binary64) #s(approx (/ (* (sqrt x) (- -3 (/ 1/3 x))) (- (* 9 x) (/ 1/9 x))) (*.f64 #s(literal -1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))))
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (fma.f64 (sqrt.f64 x) #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x))))
Outputs
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 x) (fma.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))))
Calls

3 calls:

9.0ms
y
9.0ms
x
9.0ms
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64)))
Results
AccuracySegmentsBranch
99.4%1x
99.4%1y
99.4%1(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64)))
Compiler

Compiled 16 to 16 computations (0% saved)

regimes27.0ms (0.4%)

Memory
-21.1MiB live, 59.4MiB allocated
Counts
26 → 3
Calls
Call 1
Inputs
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 #s(approx (+ (/ 1/3 x) -3) #s(literal -3 binary64)) (sqrt.f64 x)))
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 y #s(literal 3 binary64)) (sqrt.f64 x)))
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64)))
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) y))
#s(approx (* (* (- (+ y (/ 1/9 x)) 1) (sqrt x)) 3) (*.f64 (sqrt.f64 x) #s(approx (+ (* (- 1 y) -3) (/ 1/3 x)) (*.f64 y #s(literal 3 binary64)))))
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 x)))
#s(approx (* (* (- (+ y (/ 1/9 x)) 1) (sqrt x)) 3) (*.f64 (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 x)))
#s(approx (* (* (- (+ y (/ 1/9 x)) 1) (sqrt x)) 3) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)))
#s(approx (* (pow x 1/4) (* (pow x 1/4) (+ (* (+ y (/ 1/9 x)) 3) -3))) (*.f64 (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 x)))
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) #s(approx (- (+ y (/ 1 (* x 9))) 1) (-.f64 y #s(literal 1 binary64))))
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) #s(approx (- (+ y (/ (/ -1 x) -9)) 1) (-.f64 y #s(literal 1 binary64))))
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 #s(approx (+ (/ 1/3 x) -3) (/.f64 #s(literal 1/3 binary64) x)) (sqrt.f64 x)))
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64)))
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (/.f64 #s(literal 1 binary64) #s(approx (/ (* (sqrt x) (- -3 (/ 1/3 x))) (- (* 9 x) (/ 1/9 x))) (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))))
#s(approx (* (* (- (+ y (/ 1/9 x)) 1) (sqrt x)) 3) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64)))
#s(approx (* (* (- (+ y (/ 1/9 x)) 1) (sqrt x)) 3) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1/3 binary64)))
#s(approx (* (* (- (+ y (/ 1/9 x)) 1) (sqrt x)) 3) (/.f64 (sqrt.f64 x) (*.f64 x #s(literal 3 binary64))))
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64)) (sqrt.f64 x)))
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 #s(approx (+ (/ 1/3 x) -3) (/.f64 #s(approx (+ (* -3 x) 1/3) (*.f64 #s(literal -3 binary64) x)) x)) (sqrt.f64 x)))
(*.f64 #s(approx (* (- (+ y (/ 1/9 x)) 1) (sqrt x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/9 binary64))) #s(literal 3 binary64))
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) #s(approx (- (+ y (/ 1 (* x 9))) 1) (/.f64 #s(literal 1/9 binary64) x)))
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) #s(approx (- (+ y (/ (/ -1 x) -9)) 1) (/.f64 #s(literal 1/9 binary64) x)))
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 #s(approx (+ (/ 1/3 x) -3) (/.f64 (fma.f64 #s(literal -3 binary64) x #s(literal 1/3 binary64)) x)) (sqrt.f64 x)))
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (fma.f64 #s(literal -1/3 binary64) (/.f64 #s(literal -1 binary64) x) #s(literal -3 binary64)) (sqrt.f64 x)))
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 3 binary64))) #s(literal -3 binary64)) (sqrt.f64 x)))
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) #s(approx (- (+ y (/ 1 (* x 9))) 1) (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64))))
Outputs
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 x)))
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 3 binary64))) #s(literal -3 binary64)) (sqrt.f64 x)))
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 x)))
Calls

3 calls:

9.0ms
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64)))
8.0ms
x
8.0ms
y
Results
AccuracySegmentsBranch
88.2%2x
91.1%3y
91.6%3(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64)))
Compiler

Compiled 16 to 16 computations (0% saved)

regimes8.0ms (0.1%)

Memory
20.2MiB live, 20.2MiB allocated
Counts
24 → 3
Calls
Call 1
Inputs
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 #s(approx (+ (/ 1/3 x) -3) #s(literal -3 binary64)) (sqrt.f64 x)))
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 y #s(literal 3 binary64)) (sqrt.f64 x)))
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64)))
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) y))
#s(approx (* (* (- (+ y (/ 1/9 x)) 1) (sqrt x)) 3) (*.f64 (sqrt.f64 x) #s(approx (+ (* (- 1 y) -3) (/ 1/3 x)) (*.f64 y #s(literal 3 binary64)))))
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 x)))
#s(approx (* (* (- (+ y (/ 1/9 x)) 1) (sqrt x)) 3) (*.f64 (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 x)))
#s(approx (* (* (- (+ y (/ 1/9 x)) 1) (sqrt x)) 3) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)))
#s(approx (* (pow x 1/4) (* (pow x 1/4) (+ (* (+ y (/ 1/9 x)) 3) -3))) (*.f64 (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 x)))
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) #s(approx (- (+ y (/ 1 (* x 9))) 1) (-.f64 y #s(literal 1 binary64))))
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) #s(approx (- (+ y (/ (/ -1 x) -9)) 1) (-.f64 y #s(literal 1 binary64))))
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 #s(approx (+ (/ 1/3 x) -3) (/.f64 #s(literal 1/3 binary64) x)) (sqrt.f64 x)))
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64)))
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (/.f64 #s(literal 1 binary64) #s(approx (/ (* (sqrt x) (- -3 (/ 1/3 x))) (- (* 9 x) (/ 1/9 x))) (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))))
#s(approx (* (* (- (+ y (/ 1/9 x)) 1) (sqrt x)) 3) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64)))
#s(approx (* (* (- (+ y (/ 1/9 x)) 1) (sqrt x)) 3) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1/3 binary64)))
#s(approx (* (* (- (+ y (/ 1/9 x)) 1) (sqrt x)) 3) (/.f64 (sqrt.f64 x) (*.f64 x #s(literal 3 binary64))))
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64)) (sqrt.f64 x)))
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 #s(approx (+ (/ 1/3 x) -3) (/.f64 #s(approx (+ (* -3 x) 1/3) (*.f64 #s(literal -3 binary64) x)) x)) (sqrt.f64 x)))
(*.f64 #s(approx (* (- (+ y (/ 1/9 x)) 1) (sqrt x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/9 binary64))) #s(literal 3 binary64))
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) #s(approx (- (+ y (/ 1 (* x 9))) 1) (/.f64 #s(literal 1/9 binary64) x)))
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) #s(approx (- (+ y (/ (/ -1 x) -9)) 1) (/.f64 #s(literal 1/9 binary64) x)))
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 #s(approx (+ (/ 1/3 x) -3) (/.f64 (fma.f64 #s(literal -3 binary64) x #s(literal 1/3 binary64)) x)) (sqrt.f64 x)))
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (fma.f64 #s(literal -1/3 binary64) (/.f64 #s(literal -1 binary64) x) #s(literal -3 binary64)) (sqrt.f64 x)))
Outputs
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 x)))
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64)) (sqrt.f64 x)))
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 x)))
Calls

1 calls:

7.0ms
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64)))
Results
AccuracySegmentsBranch
91.6%3(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64)))
Compiler

Compiled 14 to 12 computations (14.3% saved)

regimes12.0ms (0.2%)

Memory
-14.7MiB live, 24.5MiB allocated
Counts
17 → 3
Calls
Call 1
Inputs
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 #s(approx (+ (/ 1/3 x) -3) #s(literal -3 binary64)) (sqrt.f64 x)))
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 y #s(literal 3 binary64)) (sqrt.f64 x)))
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64)))
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) y))
#s(approx (* (* (- (+ y (/ 1/9 x)) 1) (sqrt x)) 3) (*.f64 (sqrt.f64 x) #s(approx (+ (* (- 1 y) -3) (/ 1/3 x)) (*.f64 y #s(literal 3 binary64)))))
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 x)))
#s(approx (* (* (- (+ y (/ 1/9 x)) 1) (sqrt x)) 3) (*.f64 (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 x)))
#s(approx (* (* (- (+ y (/ 1/9 x)) 1) (sqrt x)) 3) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)))
#s(approx (* (pow x 1/4) (* (pow x 1/4) (+ (* (+ y (/ 1/9 x)) 3) -3))) (*.f64 (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 x)))
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) #s(approx (- (+ y (/ 1 (* x 9))) 1) (-.f64 y #s(literal 1 binary64))))
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) #s(approx (- (+ y (/ (/ -1 x) -9)) 1) (-.f64 y #s(literal 1 binary64))))
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 #s(approx (+ (/ 1/3 x) -3) (/.f64 #s(literal 1/3 binary64) x)) (sqrt.f64 x)))
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64)))
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (/.f64 #s(literal 1 binary64) #s(approx (/ (* (sqrt x) (- -3 (/ 1/3 x))) (- (* 9 x) (/ 1/9 x))) (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))))
#s(approx (* (* (- (+ y (/ 1/9 x)) 1) (sqrt x)) 3) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64)))
#s(approx (* (* (- (+ y (/ 1/9 x)) 1) (sqrt x)) 3) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1/3 binary64)))
#s(approx (* (* (- (+ y (/ 1/9 x)) 1) (sqrt x)) 3) (/.f64 (sqrt.f64 x) (*.f64 x #s(literal 3 binary64))))
Outputs
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 x)))
#s(approx (* (* (- (+ y (/ 1/9 x)) 1) (sqrt x)) 3) (/.f64 (sqrt.f64 x) (*.f64 x #s(literal 3 binary64))))
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 x)))
Calls

2 calls:

6.0ms
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64)))
5.0ms
y
Results
AccuracySegmentsBranch
71.1%3y
90.9%3(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64)))
Compiler

Compiled 15 to 14 computations (6.7% saved)

regimes6.0ms (0.1%)

Memory
14.3MiB live, 14.3MiB allocated
Counts
16 → 3
Calls
Call 1
Inputs
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 #s(approx (+ (/ 1/3 x) -3) #s(literal -3 binary64)) (sqrt.f64 x)))
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 y #s(literal 3 binary64)) (sqrt.f64 x)))
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64)))
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) y))
#s(approx (* (* (- (+ y (/ 1/9 x)) 1) (sqrt x)) 3) (*.f64 (sqrt.f64 x) #s(approx (+ (* (- 1 y) -3) (/ 1/3 x)) (*.f64 y #s(literal 3 binary64)))))
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 x)))
#s(approx (* (* (- (+ y (/ 1/9 x)) 1) (sqrt x)) 3) (*.f64 (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 x)))
#s(approx (* (* (- (+ y (/ 1/9 x)) 1) (sqrt x)) 3) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)))
#s(approx (* (pow x 1/4) (* (pow x 1/4) (+ (* (+ y (/ 1/9 x)) 3) -3))) (*.f64 (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 x)))
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) #s(approx (- (+ y (/ 1 (* x 9))) 1) (-.f64 y #s(literal 1 binary64))))
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) #s(approx (- (+ y (/ (/ -1 x) -9)) 1) (-.f64 y #s(literal 1 binary64))))
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 #s(approx (+ (/ 1/3 x) -3) (/.f64 #s(literal 1/3 binary64) x)) (sqrt.f64 x)))
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64)))
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (/.f64 #s(literal 1 binary64) #s(approx (/ (* (sqrt x) (- -3 (/ 1/3 x))) (- (* 9 x) (/ 1/9 x))) (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))))
#s(approx (* (* (- (+ y (/ 1/9 x)) 1) (sqrt x)) 3) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64)))
#s(approx (* (* (- (+ y (/ 1/9 x)) 1) (sqrt x)) 3) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1/3 binary64)))
Outputs
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 x)))
#s(approx (* (* (- (+ y (/ 1/9 x)) 1) (sqrt x)) 3) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)))
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 x)))
Calls

1 calls:

5.0ms
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64)))
Results
AccuracySegmentsBranch
90.9%3(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64)))
Compiler

Compiled 14 to 12 computations (14.3% saved)

regimes10.0ms (0.1%)

Memory
-15.0MiB live, 24.0MiB allocated
Counts
7 → 1
Calls
Call 1
Inputs
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 #s(approx (+ (/ 1/3 x) -3) #s(literal -3 binary64)) (sqrt.f64 x)))
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 y #s(literal 3 binary64)) (sqrt.f64 x)))
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64)))
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) y))
#s(approx (* (* (- (+ y (/ 1/9 x)) 1) (sqrt x)) 3) (*.f64 (sqrt.f64 x) #s(approx (+ (* (- 1 y) -3) (/ 1/3 x)) (*.f64 y #s(literal 3 binary64)))))
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 x)))
#s(approx (* (* (- (+ y (/ 1/9 x)) 1) (sqrt x)) 3) (*.f64 (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 x)))
Outputs
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 x)))
Calls

3 calls:

4.0ms
x
3.0ms
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64)))
3.0ms
y
Results
AccuracySegmentsBranch
67.3%1y
67.3%1x
67.3%1(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64)))
Compiler

Compiled 16 to 16 computations (0% saved)

regimes8.0ms (0.1%)

Memory
17.7MiB live, 17.7MiB allocated
Counts
5 → 3
Calls
Call 1
Inputs
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 #s(approx (+ (/ 1/3 x) -3) #s(literal -3 binary64)) (sqrt.f64 x)))
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 y #s(literal 3 binary64)) (sqrt.f64 x)))
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64)))
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) y))
#s(approx (* (* (- (+ y (/ 1/9 x)) 1) (sqrt x)) 3) (*.f64 (sqrt.f64 x) #s(approx (+ (* (- 1 y) -3) (/ 1/3 x)) (*.f64 y #s(literal 3 binary64)))))
Outputs
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) y))
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 #s(approx (+ (/ 1/3 x) -3) #s(literal -3 binary64)) (sqrt.f64 x)))
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64)))
Calls

3 calls:

2.0ms
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64)))
2.0ms
x
2.0ms
y
Results
AccuracySegmentsBranch
43.4%2x
63.0%3(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64)))
66.5%3y
Compiler

Compiled 16 to 16 computations (0% saved)

regimes2.0ms (0%)

Memory
5.6MiB live, 5.6MiB allocated
Counts
3 → 3
Calls
Call 1
Inputs
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 #s(approx (+ (/ 1/3 x) -3) #s(literal -3 binary64)) (sqrt.f64 x)))
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 y #s(literal 3 binary64)) (sqrt.f64 x)))
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64)))
Outputs
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 y #s(literal 3 binary64)) (sqrt.f64 x)))
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 #s(approx (+ (/ 1/3 x) -3) #s(literal -3 binary64)) (sqrt.f64 x)))
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64)))
Calls

1 calls:

2.0ms
y
Results
AccuracySegmentsBranch
66.5%3y
Compiler

Compiled 1 to 2 computations (-100% saved)

regimes4.0ms (0.1%)

Memory
-39.9MiB live, 5.1MiB allocated
Counts
2 → 3
Calls
Call 1
Inputs
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 #s(approx (+ (/ 1/3 x) -3) #s(literal -3 binary64)) (sqrt.f64 x)))
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 y #s(literal 3 binary64)) (sqrt.f64 x)))
Outputs
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 y #s(literal 3 binary64)) (sqrt.f64 x)))
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 #s(approx (+ (/ 1/3 x) -3) #s(literal -3 binary64)) (sqrt.f64 x)))
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 y #s(literal 3 binary64)) (sqrt.f64 x)))
Calls

1 calls:

4.0ms
y
Results
AccuracySegmentsBranch
66.5%3y
Compiler

Compiled 1 to 2 computations (-100% saved)

regimes4.0ms (0.1%)

Memory
12.0MiB live, 12.0MiB allocated
Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts
1 → 1
Calls
Call 1
Inputs
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 #s(approx (+ (/ 1/3 x) -3) #s(literal -3 binary64)) (sqrt.f64 x)))
Outputs
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 #s(approx (+ (/ 1/3 x) -3) #s(literal -3 binary64)) (sqrt.f64 x)))
Calls

3 calls:

1.0ms
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64)))
1.0ms
y
1.0ms
x
Results
AccuracySegmentsBranch
30.0%1x
30.0%1(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64)))
30.0%1y
Compiler

Compiled 16 to 16 computations (0% saved)

bsearch1.0ms (0%)

Memory
1.7MiB live, 1.7MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
4.648801518956836e+152
1.2878822589401995e+162
0.0ms
-2.943681902707675e+27
-2.604415300391747e+24
Compiler

Compiled 17 to 17 computations (0% saved)

bsearch1.0ms (0%)

Memory
1.3MiB live, 1.3MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
4.648801518956836e+152
1.2878822589401995e+162
0.0ms
-2.943681902707675e+27
-2.604415300391747e+24
Compiler

Compiled 17 to 17 computations (0% saved)

bsearch1.0ms (0%)

Memory
1.3MiB live, 1.3MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
4.648801518956836e+152
1.2878822589401995e+162
0.0ms
-271.01413438351017
700.1143640282783
Compiler

Compiled 17 to 17 computations (0% saved)

bsearch1.0ms (0%)

Memory
1.5MiB live, 1.5MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
4.648801518956836e+152
1.2878822589401995e+162
0.0ms
-271.01413438351017
700.1143640282783
Compiler

Compiled 17 to 17 computations (0% saved)

bsearch38.0ms (0.5%)

Memory
-0.3MiB live, 77.8MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
19.0ms
1.5585604489301783e-22
0.5775468271351921
14.0ms
-124765.10982123778
-92.73098969246622
Samples
22.0ms304×0valid
Compiler

Compiled 264 to 321 computations (-21.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 13.0ms
ival-mult: 5.0ms (37.2% of total)
ival-div: 2.0ms (14.9% of total)
ival-sqrt: 2.0ms (14.9% of total)
ival-sub: 1.0ms (7.4% of total)
ival-add: 1.0ms (7.4% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch2.0ms (0%)

Memory
5.8MiB live, 5.8MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
1.0ms
1.5585604489301783e-22
0.5775468271351921
1.0ms
-124765.10982123778
-92.73098969246622
Compiler

Compiled 264 to 321 computations (-21.6% saved)

bsearch2.0ms (0%)

Memory
5.8MiB live, 5.8MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
1.0ms
1.5585604489301783e-22
0.5775468271351921
1.0ms
-124765.10982123778
-92.73098969246622
Compiler

Compiled 264 to 321 computations (-21.6% saved)

simplify30.0ms (0.4%)

Memory
-11.4MiB live, 68.5MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0100747
1134747
2143747
3150747
4151747
Stop Event
saturated
Calls
Call 1
Inputs
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -9 binary64))) #s(literal 1 binary64)))
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64)))
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (fma.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1/9 binary64) (-.f64 y #s(literal 1 binary64))))
(*.f64 (*.f64 (-.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 1 binary64)) (sqrt.f64 x)) #s(literal 3 binary64))
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 x) (fma.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))))
(if (<=.f64 (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) #s(literal -2000000000000000026575110144 binary64)) #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 x))) (if (<=.f64 (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) #s(literal 499999999999999999866701502061576872427769509559218343142920094012184839761211880836459879782283579221834689412014355010196297047064515110066507929878528 binary64)) #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 3 binary64))) #s(literal -3 binary64)) (sqrt.f64 x))) #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 x)))))
(if (<=.f64 (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) #s(literal -2000000000000000026575110144 binary64)) #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 x))) (if (<=.f64 (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) #s(literal 499999999999999999866701502061576872427769509559218343142920094012184839761211880836459879782283579221834689412014355010196297047064515110066507929878528 binary64)) #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64)) (sqrt.f64 x))) #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 x)))))
(if (<=.f64 (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) #s(literal -200 binary64)) #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 x))) (if (<=.f64 (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) #s(literal 499999999999999999866701502061576872427769509559218343142920094012184839761211880836459879782283579221834689412014355010196297047064515110066507929878528 binary64)) #s(approx (* (* (- (+ y (/ 1/9 x)) 1) (sqrt x)) 3) (/.f64 (sqrt.f64 x) (*.f64 x #s(literal 3 binary64)))) #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 x)))))
(if (<=.f64 (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) #s(literal -200 binary64)) #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 x))) (if (<=.f64 (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) #s(literal 499999999999999999866701502061576872427769509559218343142920094012184839761211880836459879782283579221834689412014355010196297047064515110066507929878528 binary64)) #s(approx (* (* (- (+ y (/ 1/9 x)) 1) (sqrt x)) 3) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 x)))))
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 x)))
(if (<=.f64 y #s(literal -95 binary64)) #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) y)) (if (<=.f64 y #s(literal 5134103575202365/9007199254740992 binary64)) #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 #s(approx (+ (/ 1/3 x) -3) #s(literal -3 binary64)) (sqrt.f64 x))) #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64)))))
(if (<=.f64 y #s(literal -95 binary64)) #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 y #s(literal 3 binary64)) (sqrt.f64 x))) (if (<=.f64 y #s(literal 5134103575202365/9007199254740992 binary64)) #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 #s(approx (+ (/ 1/3 x) -3) #s(literal -3 binary64)) (sqrt.f64 x))) #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64)))))
(if (<=.f64 y #s(literal -95 binary64)) #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 y #s(literal 3 binary64)) (sqrt.f64 x))) (if (<=.f64 y #s(literal 5134103575202365/9007199254740992 binary64)) #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 #s(approx (+ (/ 1/3 x) -3) #s(literal -3 binary64)) (sqrt.f64 x))) #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 y #s(literal 3 binary64)) (sqrt.f64 x)))))
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 #s(approx (+ (/ 1/3 x) -3) #s(literal -3 binary64)) (sqrt.f64 x)))
Outputs
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -9 binary64))) #s(literal 1 binary64)))
(*.f64 (-.f64 (+.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -9 binary64)) y) #s(literal 1 binary64)) (*.f64 (sqrt.f64 x) #s(literal 3 binary64)))
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64)))
(*.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 9 binary64) x)) y) #s(literal 1 binary64)) (*.f64 (sqrt.f64 x) #s(literal 3 binary64)))
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (fma.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1/9 binary64) (-.f64 y #s(literal 1 binary64))))
(*.f64 (fma.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1/9 binary64) (-.f64 y #s(literal 1 binary64))) (*.f64 (sqrt.f64 x) #s(literal 3 binary64)))
(*.f64 (*.f64 (-.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 1 binary64)) (sqrt.f64 x)) #s(literal 3 binary64))
(*.f64 (*.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal 1 binary64)) (sqrt.f64 x)) #s(literal 3 binary64))
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 x) (fma.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))))
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)) (sqrt.f64 x)))
(if (<=.f64 (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) #s(literal -2000000000000000026575110144 binary64)) #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 x))) (if (<=.f64 (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) #s(literal 499999999999999999866701502061576872427769509559218343142920094012184839761211880836459879782283579221834689412014355010196297047064515110066507929878528 binary64)) #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 3 binary64))) #s(literal -3 binary64)) (sqrt.f64 x))) #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 x)))))
(if (<=.f64 (*.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 9 binary64) x)) y) #s(literal 1 binary64)) (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) #s(literal -2000000000000000026575110144 binary64)) #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 x))) (if (<=.f64 (*.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 9 binary64) x)) y) #s(literal 1 binary64)) (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) #s(literal 499999999999999999866701502061576872427769509559218343142920094012184839761211880836459879782283579221834689412014355010196297047064515110066507929878528 binary64)) #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 3 binary64))) #s(literal -3 binary64)) (sqrt.f64 x))) #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 x)))))
(if (<=.f64 (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) #s(literal -2000000000000000026575110144 binary64)) #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 x))) (if (<=.f64 (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) #s(literal 499999999999999999866701502061576872427769509559218343142920094012184839761211880836459879782283579221834689412014355010196297047064515110066507929878528 binary64)) #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64)) (sqrt.f64 x))) #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 x)))))
(if (<=.f64 (*.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 9 binary64) x)) y) #s(literal 1 binary64)) (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) #s(literal -2000000000000000026575110144 binary64)) #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 x))) (if (<=.f64 (*.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 9 binary64) x)) y) #s(literal 1 binary64)) (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) #s(literal 499999999999999999866701502061576872427769509559218343142920094012184839761211880836459879782283579221834689412014355010196297047064515110066507929878528 binary64)) #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64)) (sqrt.f64 x))) #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 x)))))
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soundness1.1s (15.4%)

Memory
34.3MiB live, 811.0MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
079612
1209585
2666585
32171583
47005583
09266551
045175
070172
1232152
21870152
08258152
01234
01934
16628
252128
3647628
0829527
049245
072217
1282195
22254195
08961194
01403121
14003121
212933112
330063099
475853099
083942924
Stop Event
fuel
iter limit
node limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
iter limit
node limit
Compiler

Compiled 759 to 381 computations (49.8% saved)

preprocess81.0ms (1.1%)

Memory
5.2MiB live, 202.9MiB allocated
Compiler

Compiled 852 to 220 computations (74.2% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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