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

Time bar (total: 9.0s)

start0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated

analyze13.0ms (0.1%)

Memory
-5.7MiB live, 30.7MiB allocated
Algorithm
1×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)

sample1.6s (17.2%)

Memory
48.4MiB live, 1 184.4MiB allocated
Samples
897.0ms8 256×0valid
19.0ms254×0invalid
Precisions
Click to see histograms. Total time spent on operations: 540.0ms
ival-mult: 247.0ms (45.8% of total)
ival-sqrt: 126.0ms (23.3% of total)
ival-div: 63.0ms (11.7% of total)
ival-sub: 43.0ms (8% of total)
ival-add: 39.0ms (7.2% of total)
exact: 12.0ms (2.2% of total)
ival-true: 7.0ms (1.3% of total)
ival-assert: 3.0ms (0.6% of total)
Bogosity

explain234.0ms (2.6%)

Memory
-40.0MiB live, 305.9MiB 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
47.0ms512×0valid
Compiler

Compiled 116 to 40 computations (65.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 23.0ms
ival-mult: 9.0ms (39% of total)
ival-div: 4.0ms (17.4% of total)
ival-sqrt: 4.0ms (17.4% of total)
ival-sub: 2.0ms (8.7% of total)
ival-add: 2.0ms (8.7% of total)
ival-true: 1.0ms (4.3% of total)
exact: 1.0ms (4.3% of total)
ival-assert: 0.0ms (0% of total)

preprocess227.0ms (2.5%)

Memory
8.4MiB live, 124.3MiB allocated
Algorithm
1×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
1×iter limit
1×saturated
1×iter limit
1×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
0.3MiB live, 0.3MiB allocated
Compiler

Compiled 0 to 2 computations (-∞% saved)

prune1.0ms (0%)

Memory
1.1MiB live, 1.1MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶99.4%
(*.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)

simplify185.0ms (2%)

Memory
-22.0MiB live, 98.5MiB allocated
Algorithm
1×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
1×iter limit
1×saturated
1×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)

localize27.0ms (0.3%)

Memory
21.7MiB live, 60.4MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0.010966230164287516
(-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))
accuracy0.23046875
(*.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)))
accuracy0.2578125
(*.f64 #s(literal 3 binary64) (sqrt.f64 x))
accuracy0.26953125
(/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))
Samples
20.0ms256×0valid
Compiler

Compiled 51 to 14 computations (72.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 12.0ms
ival-mult: 4.0ms (33.9% of total)
ival-sqrt: 3.0ms (25.4% of total)
ival-div: 2.0ms (17% of total)
ival-sub: 1.0ms (8.5% of total)
ival-add: 1.0ms (8.5% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series12.0ms (0.1%)

Memory
-15.2MiB live, 23.6MiB 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>) () ())) ())
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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>) () ())) ())
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#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>) () ())) ())
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#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>) () ())) ())
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#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>) () ())) ())
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#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>) () ())) ())
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#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
4.0ms
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))

simplify188.0ms (2.1%)

Memory
19.5MiB live, 176.6MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
079612
1209585
2666585
32171583
47005583
09266551
Stop Event
1×iter limit
1×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))

rewrite270.0ms (3%)

Memory
10.5MiB live, 176.9MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01234
01934
16628
252128
3647628
0829527
Stop Event
1×iter limit
1×node limit
1×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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eval142.0ms (1.6%)

Memory
-18.6MiB live, 105.3MiB allocated
Compiler

Compiled 8 094 to 887 computations (89% saved)

prune61.0ms (0.7%)

Memory
-6.7MiB live, 75.7MiB allocated
Pruning

26 alts after pruning (25 fresh and 1 done)

PrunedKeptTotal
New31625341
Fresh000
Picked011
Done000
Total31626342
Accuracy
100.0%
Counts
342 → 26
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.5%
(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 (*.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) (sqrt.f64 x)) #s(literal 3 binary64) (*.f64 #s(literal -3 binary64) (sqrt.f64 x)))
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)))
▶77.2%
(/.f64 (-.f64 (*.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 #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))))
99.3%
(/.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) (pow.f64 (-.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 1 binary64)) #s(literal -1 binary64)))
99.5%
(+.f64 (*.f64 (/.f64 #s(literal 1/9 binary64) x) (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) (*.f64 (-.f64 y #s(literal 1 binary64)) (*.f64 (sqrt.f64 x) #s(literal 3 binary64))))
99.4%
(*.f64 (fma.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 x))
99.1%
(*.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 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 1 binary64)) (*.f64 (sqrt.f64 x) #s(literal 3 binary64)))
99.4%
(*.f64 (*.f64 (-.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 1 binary64)) (sqrt.f64 x)) #s(literal 3 binary64))
57.5%
(*.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)))
75.3%
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (fma.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/81 binary64) #s(literal -1 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)) #s(literal -1 binary64)) y))
99.4%
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (fma.f64 (pow.f64 (*.f64 #s(literal 9 binary64) x) #s(literal -1/2 binary64)) (pow.f64 (*.f64 #s(literal 9 binary64) x) #s(literal -1/2 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)))
99.4%
(*.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)))
✓99.4%
(*.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)))
75.2%
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 #s(literal -1 binary64) (*.f64 y (/.f64 y (-.f64 y (/.f64 #s(literal 1/9 binary64) x))))) (/.f64 (pow.f64 x #s(literal -2 binary64)) (*.f64 (-.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 81 binary64)))))
42.2%
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) #s(approx (- (+ y (/ 1 (* x 9))) 1) (/.f64 #s(literal 1/9 binary64) x)))
▶66.6%
(*.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))))
57.1%
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) #s(approx (- (+ y (/ 1 (* x 9))) 1) (-.f64 y #s(literal 1 binary64))))
64.0%
#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))
57.1%
#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)))
66.6%
#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)))
▶34.8%
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64)))
42.3%
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64)))
▶99.5%
#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 772 to 608 computations (21.2% saved)

simplify271.0ms (3%)

Memory
-0.3MiB live, 193.1MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff960
(-.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)))
cost-diff1664
(*.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)))
cost-diff1920
(*.f64 (*.f64 #s(literal -3 binary64) (sqrt.f64 x)) (*.f64 #s(literal -3 binary64) (sqrt.f64 x)))
cost-diff3520
(/.f64 (-.f64 (*.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 #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))))
cost-diff0
(/.f64 #s(literal 1/9 binary64) x)
cost-diff0
(+.f64 y (/.f64 #s(literal 1/9 binary64) x))
cost-diff0
(*.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) (sqrt.f64 x))
cost-diff960
(fma.f64 (*.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) (sqrt.f64 x)) #s(literal 3 binary64) (*.f64 #s(literal -3 binary64) (sqrt.f64 x)))
cost-diff0
#s(approx (- (+ y (/ 1 (* x 9))) 1) (-.f64 (/.f64 #s(literal 1/9 binary64) x) #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 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64))))
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
(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 (* (* 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))))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
040347
064299
1136271
2404269
32152269
08769265
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
#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))))
(*.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 (*.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)
(*.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))))
(*.f64 #s(literal 3 binary64) (sqrt.f64 x))
#s(literal 3 binary64)
(sqrt.f64 x)
x
#s(approx (- (+ y (/ 1 (* x 9))) 1) (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)))
(-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64))
(/.f64 #s(literal 1/9 binary64) x)
#s(literal 1/9 binary64)
#s(literal 1 binary64)
(fma.f64 (*.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) (sqrt.f64 x)) #s(literal 3 binary64) (*.f64 #s(literal -3 binary64) (sqrt.f64 x)))
(*.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) (sqrt.f64 x))
(+.f64 y (/.f64 #s(literal 1/9 binary64) x))
y
(/.f64 #s(literal 1/9 binary64) x)
#s(literal 1/9 binary64)
x
(sqrt.f64 x)
#s(literal 3 binary64)
(*.f64 #s(literal -3 binary64) (sqrt.f64 x))
#s(literal -3 binary64)
(/.f64 (-.f64 (*.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 #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))))
(-.f64 (*.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 #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 (*.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 y (/.f64 #s(literal 1/9 binary64) x)) #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)
x
#s(literal 3 binary64)
(sqrt.f64 x)
(*.f64 (*.f64 #s(literal -3 binary64) (sqrt.f64 x)) (*.f64 #s(literal -3 binary64) (sqrt.f64 x)))
(*.f64 #s(literal -3 binary64) (sqrt.f64 x))
#s(literal -3 binary64)
(-.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
#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 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 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64)))
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 (sqrt.f64 x) y) #s(literal 3 binary64)))
(*.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64))
(*.f64 (*.f64 (sqrt.f64 x) y) #s(literal 3 binary64))
(*.f64 y (sqrt.f64 x))
(*.f64 (sqrt.f64 x) y)
y
(sqrt.f64 x)
x
#s(literal 3 binary64)
(*.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))))
(*.f64 #s(approx (- (+ y (/ 1 (* x 9))) 1) (-.f64 (/.f64 #s(literal 1/9 binary64) x) #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 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)))
(-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64))
(/.f64 #s(literal 1/9 binary64) x)
#s(literal 1/9 binary64)
#s(literal 1 binary64)
(fma.f64 (*.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) (sqrt.f64 x)) #s(literal 3 binary64) (*.f64 #s(literal -3 binary64) (sqrt.f64 x)))
(*.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) #s(literal 3 binary64) (/.f64 #s(literal 1/3 binary64) x)) (sqrt.f64 x))
(*.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) (sqrt.f64 x))
(*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) (sqrt.f64 x))
(+.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
(sqrt.f64 x)
#s(literal 3 binary64)
(*.f64 #s(literal -3 binary64) (sqrt.f64 x))
#s(literal -3 binary64)
(/.f64 (-.f64 (*.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 #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))))
(*.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) #s(literal 3 binary64) (/.f64 #s(literal 1/3 binary64) x)) (sqrt.f64 x))
(-.f64 (*.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 #s(literal -3 binary64) (sqrt.f64 x)) (*.f64 #s(literal -3 binary64) (sqrt.f64 x))))
(*.f64 (*.f64 #s(literal 9 binary64) x) (fma.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal -1 binary64)))
(*.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 x (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal 9 binary64))) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y))
(*.f64 (*.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 3 binary64)) (sqrt.f64 x))
(*.f64 (fma.f64 y #s(literal 3 binary64) (/.f64 #s(literal 1/3 binary64) x)) (sqrt.f64 x))
(*.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 3 binary64))
(fma.f64 y #s(literal 3 binary64) (/.f64 #s(literal 1/3 binary64) x))
(+.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 3 binary64)
(sqrt.f64 x)
(*.f64 (*.f64 #s(literal -3 binary64) (sqrt.f64 x)) (*.f64 #s(literal -3 binary64) (sqrt.f64 x)))
(*.f64 #s(literal 9 binary64) x)
(*.f64 #s(literal -3 binary64) (sqrt.f64 x))
#s(literal -3 binary64)
(-.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)))
(*.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal 3 binary64) #s(literal 3 binary64)) (sqrt.f64 x))

localize311.0ms (3.4%)

Memory
22.0MiB live, 264.7MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.328125
(/.f64 #s(literal 1/9 binary64) x)
accuracy0.33822250976844204
(*.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)))
accuracy0.42806625976844204
(*.f64 (*.f64 #s(literal -3 binary64) (sqrt.f64 x)) (*.f64 #s(literal -3 binary64) (sqrt.f64 x)))
accuracy12.232681774716228
(/.f64 (-.f64 (*.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 #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))))
accuracy0.19266378162065376
(fma.f64 (*.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) (sqrt.f64 x)) #s(literal 3 binary64) (*.f64 #s(literal -3 binary64) (sqrt.f64 x)))
accuracy0.21484375
(*.f64 #s(literal -3 binary64) (sqrt.f64 x))
accuracy0.29296875
(*.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) (sqrt.f64 x))
accuracy0.328125
(/.f64 #s(literal 1/9 binary64) x)
accuracy0.20703125
(*.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))))
accuracy0.21484375
(*.f64 #s(literal 3 binary64) (sqrt.f64 x))
accuracy0.328125
(/.f64 #s(literal 1/9 binary64) x)
accuracy18.498359885513505
#s(approx (- (+ y (/ 1 (* x 9))) 1) (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)))
accuracy0
(sqrt.f64 x)
accuracy0.19140625
(*.f64 y (sqrt.f64 x))
accuracy0.2109375
(*.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64))
accuracy36.327230570849544
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64)))
accuracy0
#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))))
accuracy0.08822250976844201
(fma.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))
accuracy0.27734375
(*.f64 (sqrt.f64 x) (fma.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)))
accuracy0.29296875
(/.f64 #s(literal 1/3 binary64) x)
Samples
90.0ms33×5exit
78.0ms197×0valid
62.0ms9×2valid
7.0ms13×1valid
3.0ms4×3valid
Compiler

Compiled 321 to 38 computations (88.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 163.0ms
ival-mult: 99.0ms (60.8% of total)
ival-sqrt: 21.0ms (12.9% of total)
adjust: 12.0ms (7.4% of total)
const: 8.0ms (4.9% of total)
ival-div: 8.0ms (4.9% of total)
ival-sub: 8.0ms (4.9% of total)
ival-add: 6.0ms (3.7% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series120.0ms (1.3%)

Memory
-0.4MiB live, 117.1MiB allocated
Counts
20 → 408
Calls
Call 1
Inputs
#s(alt #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)))) (patch #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)))) #<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 (*.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 (*.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)))) (patch (*.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)))) #<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 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64))) (patch #s(approx (- (+ y (/ 1 (* x 9))) 1) (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 (*.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) (sqrt.f64 x)) #s(literal 3 binary64) (*.f64 #s(literal -3 binary64) (sqrt.f64 x))) (patch (fma.f64 (*.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) (sqrt.f64 x)) #s(literal 3 binary64) (*.f64 #s(literal -3 binary64) (sqrt.f64 x))) #<representation binary64>) () ())
#s(alt (*.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) (sqrt.f64 x)) (patch (*.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) (sqrt.f64 x)) #<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 1/9 binary64) x) (patch (/.f64 #s(literal 1/9 binary64) x) #<representation binary64>) () ())
#s(alt (/.f64 (-.f64 (*.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 #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)))) (patch (/.f64 (-.f64 (*.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 #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)))) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 #s(literal -3 binary64) (sqrt.f64 x)) (*.f64 #s(literal -3 binary64) (sqrt.f64 x))) (patch (*.f64 (*.f64 #s(literal -3 binary64) (sqrt.f64 x)) (*.f64 #s(literal -3 binary64) (sqrt.f64 x))) #<representation binary64>) () ())
#s(alt (*.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))) (patch (*.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))) #<representation binary64>) () ())
#s(alt (-.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))) (patch (-.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))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1/3 binary64) x) (patch (/.f64 #s(literal 1/3 binary64) x) #<representation binary64>) () ())
#s(alt (*.f64 #s(literal -3 binary64) (sqrt.f64 x)) (patch (*.f64 #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 (* (* 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)))) (patch #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)))) #<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 (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 (* (* 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)))) #<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 (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 (* (* 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)))) #<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 (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 (* (* 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)))) #<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>) () ())) ())
#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>) () ())) ())
#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>) () ())) ())
#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 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 (+ (* 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 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 (+ (* 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 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 (+ (* 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 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 (* 3 (* (sqrt x) y)) (taylor 0 y) (#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 (* 3 (* (sqrt x) y)) (taylor 0 y) (#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 (* 3 (* (sqrt x) y)) (taylor 0 y) (#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 (* 3 (* (sqrt x) y)) (taylor 0 y) (#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 (* (sqrt x) y) (taylor 0 y) (#s(alt (*.f64 y (sqrt.f64 x)) (patch (*.f64 y (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* (sqrt x) y) (taylor 0 y) (#s(alt (*.f64 y (sqrt.f64 x)) (patch (*.f64 y (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* (sqrt x) y) (taylor 0 y) (#s(alt (*.f64 y (sqrt.f64 x)) (patch (*.f64 y (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* (sqrt x) y) (taylor 0 y) (#s(alt (*.f64 y (sqrt.f64 x)) (patch (*.f64 y (sqrt.f64 x)) #<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 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)))) (patch (*.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)))) #<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 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)))) (patch (*.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)))) #<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 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)))) (patch (*.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)))) #<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 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)))) (patch (*.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)))) #<representation binary64>) () ())) ())
#s(alt (- (* 1/9 (/ 1 x)) 1) (taylor 0 y) (#s(alt #s(approx (- (+ y (/ 1 (* x 9))) 1) (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64))) (patch #s(approx (- (+ y (/ 1 (* x 9))) 1) (-.f64 (/.f64 #s(literal 1/9 binary64) x) #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 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64))) (patch #s(approx (- (+ y (/ 1 (* x 9))) 1) (-.f64 (/.f64 #s(literal 1/9 binary64) x) #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 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64))) (patch #s(approx (- (+ y (/ 1 (* x 9))) 1) (-.f64 (/.f64 #s(literal 1/9 binary64) x) #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 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64))) (patch #s(approx (- (+ y (/ 1 (* x 9))) 1) (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* -3 (sqrt x)) (* 1/3 (sqrt (/ 1 x)))) (taylor 0 y) (#s(alt (fma.f64 (*.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) (sqrt.f64 x)) #s(literal 3 binary64) (*.f64 #s(literal -3 binary64) (sqrt.f64 x))) (patch (fma.f64 (*.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) (sqrt.f64 x)) #s(literal 3 binary64) (*.f64 #s(literal -3 binary64) (sqrt.f64 x))) #<representation binary64>) () ())) ())
#s(alt (+ (* -3 (sqrt x)) (+ (* 1/3 (sqrt (/ 1 x))) (* 3 (* (sqrt x) y)))) (taylor 0 y) (#s(alt (fma.f64 (*.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) (sqrt.f64 x)) #s(literal 3 binary64) (*.f64 #s(literal -3 binary64) (sqrt.f64 x))) (patch (fma.f64 (*.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) (sqrt.f64 x)) #s(literal 3 binary64) (*.f64 #s(literal -3 binary64) (sqrt.f64 x))) #<representation binary64>) () ())) ())
#s(alt (+ (* -3 (sqrt x)) (+ (* 1/3 (sqrt (/ 1 x))) (* 3 (* (sqrt x) y)))) (taylor 0 y) (#s(alt (fma.f64 (*.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) (sqrt.f64 x)) #s(literal 3 binary64) (*.f64 #s(literal -3 binary64) (sqrt.f64 x))) (patch (fma.f64 (*.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) (sqrt.f64 x)) #s(literal 3 binary64) (*.f64 #s(literal -3 binary64) (sqrt.f64 x))) #<representation binary64>) () ())) ())
#s(alt (+ (* -3 (sqrt x)) (+ (* 1/3 (sqrt (/ 1 x))) (* 3 (* (sqrt x) y)))) (taylor 0 y) (#s(alt (fma.f64 (*.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) (sqrt.f64 x)) #s(literal 3 binary64) (*.f64 #s(literal -3 binary64) (sqrt.f64 x))) (patch (fma.f64 (*.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) (sqrt.f64 x)) #s(literal 3 binary64) (*.f64 #s(literal -3 binary64) (sqrt.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* 1/9 (sqrt (/ 1 x))) (taylor 0 y) (#s(alt (*.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) (sqrt.f64 x)) (patch (*.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (+ (* 1/9 (sqrt (/ 1 x))) (* (sqrt x) y)) (taylor 0 y) (#s(alt (*.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) (sqrt.f64 x)) (patch (*.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (+ (* 1/9 (sqrt (/ 1 x))) (* (sqrt x) y)) (taylor 0 y) (#s(alt (*.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) (sqrt.f64 x)) (patch (*.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (+ (* 1/9 (sqrt (/ 1 x))) (* (sqrt x) y)) (taylor 0 y) (#s(alt (*.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) (sqrt.f64 x)) (patch (*.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (/ 1/9 x) (taylor 0 y) (#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 (+ y (* 1/9 (/ 1 x))) (taylor 0 y) (#s(alt (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) (patch (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #<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)) (* y (pow (sqrt -1) 2))))) (* -3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) (taylor -inf x) (#s(alt (-.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))) (patch (-.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))) #<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 #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 (* 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>) () ())) ())
Calls

6 calls:

TimeVariablePointExpression
39.0ms
x
@0
((* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (* (sqrt x) (+ (* (- 1 y) -3) (/ 1/3 x))) (sqrt x) (+ (* (- 1 y) -3) (/ 1/3 x)) (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (* (* y (sqrt x)) 3) (* y (sqrt x)) (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1) (+ (* (* (+ y (/ 1/9 x)) (sqrt x)) 3) (* -3 (sqrt x))) (* (+ y (/ 1/9 x)) (sqrt x)) (+ y (/ 1/9 x)) (/ 1/9 x) (/ (- (* (* (* (+ y (/ 1/9 x)) 3) (sqrt x)) (* (* (+ y (/ 1/9 x)) 3) (sqrt x))) (* (* -3 (sqrt x)) (* -3 (sqrt x)))) (- (* (* (+ y (/ 1/9 x)) 3) (sqrt x)) (* -3 (sqrt x)))) (* (* -3 (sqrt x)) (* -3 (sqrt x))) (* (* (* (+ y (/ 1/9 x)) 3) (sqrt x)) (* (* (+ y (/ 1/9 x)) 3) (sqrt x))) (- (* (* (+ y (/ 1/9 x)) 3) (sqrt x)) (* -3 (sqrt x))) (/ 1/3 x) (* -3 (sqrt x)))
9.0ms
y
@0
((* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (* (sqrt x) (+ (* (- 1 y) -3) (/ 1/3 x))) (sqrt x) (+ (* (- 1 y) -3) (/ 1/3 x)) (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (* (* y (sqrt x)) 3) (* y (sqrt x)) (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1) (+ (* (* (+ y (/ 1/9 x)) (sqrt x)) 3) (* -3 (sqrt x))) (* (+ y (/ 1/9 x)) (sqrt x)) (+ y (/ 1/9 x)) (/ 1/9 x) (/ (- (* (* (* (+ y (/ 1/9 x)) 3) (sqrt x)) (* (* (+ y (/ 1/9 x)) 3) (sqrt x))) (* (* -3 (sqrt x)) (* -3 (sqrt x)))) (- (* (* (+ y (/ 1/9 x)) 3) (sqrt x)) (* -3 (sqrt x)))) (* (* -3 (sqrt x)) (* -3 (sqrt x))) (* (* (* (+ y (/ 1/9 x)) 3) (sqrt x)) (* (* (+ y (/ 1/9 x)) 3) (sqrt x))) (- (* (* (+ y (/ 1/9 x)) 3) (sqrt x)) (* -3 (sqrt x))) (/ 1/3 x) (* -3 (sqrt x)))
8.0ms
x
@-inf
((* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (* (sqrt x) (+ (* (- 1 y) -3) (/ 1/3 x))) (sqrt x) (+ (* (- 1 y) -3) (/ 1/3 x)) (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (* (* y (sqrt x)) 3) (* y (sqrt x)) (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1) (+ (* (* (+ y (/ 1/9 x)) (sqrt x)) 3) (* -3 (sqrt x))) (* (+ y (/ 1/9 x)) (sqrt x)) (+ y (/ 1/9 x)) (/ 1/9 x) (/ (- (* (* (* (+ y (/ 1/9 x)) 3) (sqrt x)) (* (* (+ y (/ 1/9 x)) 3) (sqrt x))) (* (* -3 (sqrt x)) (* -3 (sqrt x)))) (- (* (* (+ y (/ 1/9 x)) 3) (sqrt x)) (* -3 (sqrt x)))) (* (* -3 (sqrt x)) (* -3 (sqrt x))) (* (* (* (+ y (/ 1/9 x)) 3) (sqrt x)) (* (* (+ y (/ 1/9 x)) 3) (sqrt x))) (- (* (* (+ y (/ 1/9 x)) 3) (sqrt x)) (* -3 (sqrt x))) (/ 1/3 x) (* -3 (sqrt x)))
5.0ms
x
@inf
((* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (* (sqrt x) (+ (* (- 1 y) -3) (/ 1/3 x))) (sqrt x) (+ (* (- 1 y) -3) (/ 1/3 x)) (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (* (* y (sqrt x)) 3) (* y (sqrt x)) (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1) (+ (* (* (+ y (/ 1/9 x)) (sqrt x)) 3) (* -3 (sqrt x))) (* (+ y (/ 1/9 x)) (sqrt x)) (+ y (/ 1/9 x)) (/ 1/9 x) (/ (- (* (* (* (+ y (/ 1/9 x)) 3) (sqrt x)) (* (* (+ y (/ 1/9 x)) 3) (sqrt x))) (* (* -3 (sqrt x)) (* -3 (sqrt x)))) (- (* (* (+ y (/ 1/9 x)) 3) (sqrt x)) (* -3 (sqrt x)))) (* (* -3 (sqrt x)) (* -3 (sqrt x))) (* (* (* (+ y (/ 1/9 x)) 3) (sqrt x)) (* (* (+ y (/ 1/9 x)) 3) (sqrt x))) (- (* (* (+ y (/ 1/9 x)) 3) (sqrt x)) (* -3 (sqrt x))) (/ 1/3 x) (* -3 (sqrt x)))
4.0ms
y
@inf
((* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (* (sqrt x) (+ (* (- 1 y) -3) (/ 1/3 x))) (sqrt x) (+ (* (- 1 y) -3) (/ 1/3 x)) (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (* (* y (sqrt x)) 3) (* y (sqrt x)) (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1) (+ (* (* (+ y (/ 1/9 x)) (sqrt x)) 3) (* -3 (sqrt x))) (* (+ y (/ 1/9 x)) (sqrt x)) (+ y (/ 1/9 x)) (/ 1/9 x) (/ (- (* (* (* (+ y (/ 1/9 x)) 3) (sqrt x)) (* (* (+ y (/ 1/9 x)) 3) (sqrt x))) (* (* -3 (sqrt x)) (* -3 (sqrt x)))) (- (* (* (+ y (/ 1/9 x)) 3) (sqrt x)) (* -3 (sqrt x)))) (* (* -3 (sqrt x)) (* -3 (sqrt x))) (* (* (* (+ y (/ 1/9 x)) 3) (sqrt x)) (* (* (+ y (/ 1/9 x)) 3) (sqrt x))) (- (* (* (+ y (/ 1/9 x)) 3) (sqrt x)) (* -3 (sqrt x))) (/ 1/3 x) (* -3 (sqrt x)))

simplify346.0ms (3.8%)

Memory
-10.8MiB live, 307.1MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05117194
116096093
258326020
083895659
Stop Event
1×iter limit
1×node limit
Counts
408 → 402
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) 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))))
(- (* 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)) (* 1/3 (sqrt (/ 1 x))))
(+ (* -3 (sqrt x)) (+ (* 1/3 (sqrt (/ 1 x))) (* 3 (* (sqrt x) y))))
(+ (* -3 (sqrt x)) (+ (* 1/3 (sqrt (/ 1 x))) (* 3 (* (sqrt x) y))))
(+ (* -3 (sqrt x)) (+ (* 1/3 (sqrt (/ 1 x))) (* 3 (* (sqrt x) y))))
(* 1/9 (sqrt (/ 1 x)))
(+ (* 1/9 (sqrt (/ 1 x))) (* (sqrt x) y))
(+ (* 1/9 (sqrt (/ 1 x))) (* (sqrt x) y))
(+ (* 1/9 (sqrt (/ 1 x))) (* (sqrt x) y))
(/ 1/9 x)
(+ y (* 1/9 (/ 1 x)))
(+ y (* 1/9 (/ 1 x)))
(+ y (* 1/9 (/ 1 x)))
(/ (- (* 1/9 (/ 1 x)) (* 9 x)) (- (* 1/3 (sqrt (/ 1 x))) (* -3 (sqrt x))))
(- (+ (* y (- (* 2 (/ 1 (- (* 1/3 (sqrt (/ 1 x))) (* -3 (sqrt x))))) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) (* 9 x)) (pow (- (* 1/3 (sqrt (/ 1 x))) (* -3 (sqrt x))) 2)))))) (/ 1/9 (* x (- (* 1/3 (sqrt (/ 1 x))) (* -3 (sqrt x)))))) (* 9 (/ x (- (* 1/3 (sqrt (/ 1 x))) (* -3 (sqrt x))))))
(- (+ (* y (- (+ (* 2 (/ 1 (- (* 1/3 (sqrt (/ 1 x))) (* -3 (sqrt x))))) (* y (- (* 9 (/ x (- (* 1/3 (sqrt (/ 1 x))) (* -3 (sqrt x))))) (* 3 (* (sqrt x) (/ (- (* 2 (/ 1 (- (* 1/3 (sqrt (/ 1 x))) (* -3 (sqrt x))))) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) (* 9 x)) (pow (- (* 1/3 (sqrt (/ 1 x))) (* -3 (sqrt x))) 2))))) (- (* 1/3 (sqrt (/ 1 x))) (* -3 (sqrt x))))))))) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) (* 9 x)) (pow (- (* 1/3 (sqrt (/ 1 x))) (* -3 (sqrt x))) 2)))))) (/ 1/9 (* x (- (* 1/3 (sqrt (/ 1 x))) (* -3 (sqrt x)))))) (* 9 (/ x (- (* 1/3 (sqrt (/ 1 x))) (* -3 (sqrt x))))))
(- (+ (* y (- (+ (* 2 (/ 1 (- (* 1/3 (sqrt (/ 1 x))) (* -3 (sqrt x))))) (* y (- (+ (* -3 (* (sqrt x) (/ (* y (- (* 9 (/ x (- (* 1/3 (sqrt (/ 1 x))) (* -3 (sqrt x))))) (* 3 (* (sqrt x) (/ (- (* 2 (/ 1 (- (* 1/3 (sqrt (/ 1 x))) (* -3 (sqrt x))))) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) (* 9 x)) (pow (- (* 1/3 (sqrt (/ 1 x))) (* -3 (sqrt x))) 2))))) (- (* 1/3 (sqrt (/ 1 x))) (* -3 (sqrt x)))))))) (- (* 1/3 (sqrt (/ 1 x))) (* -3 (sqrt x)))))) (* 9 (/ x (- (* 1/3 (sqrt (/ 1 x))) (* -3 (sqrt x)))))) (* 3 (* (sqrt x) (/ (- (* 2 (/ 1 (- (* 1/3 (sqrt (/ 1 x))) (* -3 (sqrt x))))) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) (* 9 x)) (pow (- (* 1/3 (sqrt (/ 1 x))) (* -3 (sqrt x))) 2))))) (- (* 1/3 (sqrt (/ 1 x))) (* -3 (sqrt x))))))))) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) (* 9 x)) (pow (- (* 1/3 (sqrt (/ 1 x))) (* -3 (sqrt x))) 2)))))) (/ 1/9 (* x (- (* 1/3 (sqrt (/ 1 x))) (* -3 (sqrt x)))))) (* 9 (/ x (- (* 1/3 (sqrt (/ 1 x))) (* -3 (sqrt x))))))
(/ 1/9 x)
(+ (* 2 y) (* 1/9 (/ 1 x)))
(+ (* y (+ 2 (* 9 (* x y)))) (* 1/9 (/ 1 x)))
(+ (* y (+ 2 (* 9 (* x y)))) (* 1/9 (/ 1 x)))
(- (* 1/3 (sqrt (/ 1 x))) (* -3 (sqrt x)))
(- (+ (* 1/3 (sqrt (/ 1 x))) (* 3 (* (sqrt x) y))) (* -3 (sqrt x)))
(- (+ (* 1/3 (sqrt (/ 1 x))) (* 3 (* (sqrt x) y))) (* -3 (sqrt x)))
(- (+ (* 1/3 (sqrt (/ 1 x))) (* 3 (* (sqrt x) y))) (* -3 (sqrt x)))
(* 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))
(* 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)))))
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))
(* y (+ (* -3 (* (sqrt x) (/ 1 y))) (+ (* 1/3 (* (sqrt (/ 1 x)) (/ 1 y))) (* 3 (sqrt x)))))
(* y (+ (* -3 (* (sqrt x) (/ 1 y))) (+ (* 1/3 (* (sqrt (/ 1 x)) (/ 1 y))) (* 3 (sqrt x)))))
(* y (+ (* -3 (* (sqrt x) (/ 1 y))) (+ (* 1/3 (* (sqrt (/ 1 x)) (/ 1 y))) (* 3 (sqrt x)))))
(* (sqrt x) y)
(* y (+ (sqrt x) (* 1/9 (* (sqrt (/ 1 x)) (/ 1 y)))))
(* y (+ (sqrt x) (* 1/9 (* (sqrt (/ 1 x)) (/ 1 y)))))
(* y (+ (sqrt x) (* 1/9 (* (sqrt (/ 1 x)) (/ 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) (/ 1 y))) (+ (* 2/3 (* (sqrt (/ 1 x)) (/ 1 y))) (* 3 (sqrt x)))) (* 1/3 (* (sqrt (/ 1 x)) (/ 1 y)))))
(* y (- (+ (* -3 (* (sqrt x) (/ 1 y))) (+ (* 1/3 (* (sqrt (/ 1 x)) (/ (- (* 1/9 (/ 1 x)) (* 9 x)) (pow y 2)))) (+ (* 2/3 (* (sqrt (/ 1 x)) (/ 1 y))) (* 3 (sqrt x))))) (+ (* 1/3 (* (sqrt (/ 1 x)) (/ 1 y))) (* 1/3 (* (sqrt (/ 1 x)) (/ (* (- (* 1/3 (sqrt (/ 1 x))) (* -3 (sqrt x))) (- (+ (* -3 (sqrt x)) (* 2/3 (sqrt (/ 1 x)))) (* 1/3 (sqrt (/ 1 x))))) (pow y 2)))))))
(* y (- (+ (* -3 (* (sqrt x) (/ 1 y))) (+ (* -1/3 (* (sqrt (/ 1 x)) (/ (* (- (* 1/3 (sqrt (/ 1 x))) (* -3 (sqrt x))) (- (* 1/3 (* (sqrt (/ 1 x)) (- (* 1/9 (/ 1 x)) (* 9 x)))) (* 1/3 (* (sqrt (/ 1 x)) (* (- (* 1/3 (sqrt (/ 1 x))) (* -3 (sqrt x))) (- (+ (* -3 (sqrt x)) (* 2/3 (sqrt (/ 1 x)))) (* 1/3 (sqrt (/ 1 x))))))))) (pow y 3)))) (+ (* 1/3 (* (sqrt (/ 1 x)) (/ (- (* 1/9 (/ 1 x)) (* 9 x)) (pow y 2)))) (+ (* 2/3 (* (sqrt (/ 1 x)) (/ 1 y))) (* 3 (sqrt x)))))) (+ (* 1/3 (* (sqrt (/ 1 x)) (/ 1 y))) (* 1/3 (* (sqrt (/ 1 x)) (/ (* (- (* 1/3 (sqrt (/ 1 x))) (* -3 (sqrt x))) (- (+ (* -3 (sqrt x)) (* 2/3 (sqrt (/ 1 x)))) (* 1/3 (sqrt (/ 1 x))))) (pow y 2)))))))
(* 9 (* x (pow y 2)))
(* (pow y 2) (+ (* 9 x) (* 2 (/ 1 y))))
(* (pow y 2) (+ (* 9 x) (+ (/ 1/9 (* x (pow y 2))) (* 2 (/ 1 y)))))
(* (pow y 2) (+ (* 9 x) (+ (/ 1/9 (* x (pow y 2))) (* 2 (/ 1 y)))))
(* 3 (* (sqrt x) y))
(* y (- (+ (* 1/3 (* (sqrt (/ 1 x)) (/ 1 y))) (* 3 (sqrt x))) (* -3 (* (sqrt x) (/ 1 y)))))
(* y (- (+ (* 1/3 (* (sqrt (/ 1 x)) (/ 1 y))) (* 3 (sqrt x))) (* -3 (* (sqrt x) (/ 1 y)))))
(* y (- (+ (* 1/3 (* (sqrt (/ 1 x)) (/ 1 y))) (* 3 (sqrt x))) (* -3 (* (sqrt x) (/ 1 y)))))
(* 3 (* (sqrt x) y))
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(* -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))
(* 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))))))
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)) (* -1 (/ (+ (* -3 (sqrt x)) (* 1/3 (sqrt (/ 1 x)))) y)))))
(* -1 (* y (+ (* -3 (sqrt x)) (* -1 (/ (+ (* -3 (sqrt x)) (* 1/3 (sqrt (/ 1 x)))) y)))))
(* -1 (* y (+ (* -3 (sqrt x)) (* -1 (/ (+ (* -3 (sqrt x)) (* 1/3 (sqrt (/ 1 x)))) y)))))
(* (sqrt x) y)
(* -1 (* y (+ (* -1 (sqrt x)) (* -1/9 (* (sqrt (/ 1 x)) (/ 1 y))))))
(* -1 (* y (+ (* -1 (sqrt x)) (* -1/9 (* (sqrt (/ 1 x)) (/ 1 y))))))
(* -1 (* y (+ (* -1 (sqrt x)) (* -1/9 (* (sqrt (/ 1 x)) (/ 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))
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(* -9 (* x (pow (sqrt -1) 2)))
(* -9 (* x (* (pow y 2) (pow (sqrt -1) 2))))
(* -1 (* x (+ (* 2 (/ (* y (pow (sqrt -1) 2)) x)) (* 9 (* (pow y 2) (pow (sqrt -1) 2))))))
(* -1 (* x (+ (* -1 (/ (+ (* -2 (* y (pow (sqrt -1) 2))) (* -1/9 (/ (pow (sqrt -1) 2) x))) x)) (* 9 (* (pow y 2) (pow (sqrt -1) 2))))))
(* -1 (* x (+ (* -1 (/ (+ (* -2 (* y (pow (sqrt -1) 2))) (* -1/9 (/ (pow (sqrt -1) 2) x))) x)) (* 9 (* (pow y 2) (pow (sqrt -1) 2))))))
(* -1 (* x (- (* 3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (* -3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))
(* -1 (* x (- (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))) (* -3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))
(* -1 (* x (- (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))) (* -3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))
(* -1 (* x (- (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))) (* -3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))
(/ 1/3 x)
(/ 1/3 x)
(/ 1/3 x)
(/ 1/3 x)
(* 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)))
Outputs
(* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1)))
(*.f64 (*.f64 #s(literal 3 binary64) (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64))) (sqrt.f64 x))
(+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1))))
(*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) (-.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 1 binary64)))
(+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1))))
(*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) (-.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 1 binary64)))
(+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1))))
(*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) (-.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 1 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)))
(fma.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) y (*.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)))
(fma.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) y (*.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)))
(fma.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) y (*.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 3 binary64)) (sqrt.f64 x)))
(- (* 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 #s(literal 3 binary64) (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64))) (sqrt.f64 x))
(+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1))))
(*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) (-.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 1 binary64)))
(+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1))))
(*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) (-.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 1 binary64)))
(+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1))))
(*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) (-.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))
(* 3 (* (sqrt x) y))
(*.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64))
(* 3 (* (sqrt x) y))
(*.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64))
(* 3 (* (sqrt x) y))
(*.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64))
(* (sqrt x) y)
(*.f64 y (sqrt.f64 x))
(* (sqrt x) y)
(*.f64 y (sqrt.f64 x))
(* (sqrt x) y)
(*.f64 y (sqrt.f64 x))
(* (sqrt x) y)
(*.f64 y (sqrt.f64 x))
(* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1)))
(*.f64 (*.f64 #s(literal 3 binary64) (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64))) (sqrt.f64 x))
(+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1))))
(*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) (-.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 1 binary64)))
(+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1))))
(*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) (-.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 1 binary64)))
(+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1))))
(*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) (-.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 1 binary64)))
(- (* 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)) (* 1/3 (sqrt (/ 1 x))))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64) (*.f64 #s(literal -3 binary64) (sqrt.f64 x)))
(+ (* -3 (sqrt x)) (+ (* 1/3 (sqrt (/ 1 x))) (* 3 (* (sqrt x) y))))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64) (*.f64 (*.f64 #s(literal 3 binary64) (-.f64 y #s(literal 1 binary64))) (sqrt.f64 x)))
(+ (* -3 (sqrt x)) (+ (* 1/3 (sqrt (/ 1 x))) (* 3 (* (sqrt x) y))))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64) (*.f64 (*.f64 #s(literal 3 binary64) (-.f64 y #s(literal 1 binary64))) (sqrt.f64 x)))
(+ (* -3 (sqrt x)) (+ (* 1/3 (sqrt (/ 1 x))) (* 3 (* (sqrt x) y))))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64) (*.f64 (*.f64 #s(literal 3 binary64) (-.f64 y #s(literal 1 binary64))) (sqrt.f64 x)))
(* 1/9 (sqrt (/ 1 x)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/9 binary64))
(+ (* 1/9 (sqrt (/ 1 x))) (* (sqrt x) y))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/9 binary64) (*.f64 y (sqrt.f64 x)))
(+ (* 1/9 (sqrt (/ 1 x))) (* (sqrt x) y))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/9 binary64) (*.f64 y (sqrt.f64 x)))
(+ (* 1/9 (sqrt (/ 1 x))) (* (sqrt x) y))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/9 binary64) (*.f64 y (sqrt.f64 x)))
(/ 1/9 x)
(/.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))
(+ y (* 1/9 (/ 1 x)))
(+.f64 y (/.f64 #s(literal 1/9 binary64) x))
(/ (- (* 1/9 (/ 1 x)) (* 9 x)) (- (* 1/3 (sqrt (/ 1 x))) (* -3 (sqrt x))))
(/.f64 (fma.f64 #s(literal -9 binary64) x (/.f64 #s(literal 1/9 binary64) x)) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64) (*.f64 (sqrt.f64 x) #s(literal 3 binary64))))
(- (+ (* y (- (* 2 (/ 1 (- (* 1/3 (sqrt (/ 1 x))) (* -3 (sqrt x))))) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) (* 9 x)) (pow (- (* 1/3 (sqrt (/ 1 x))) (* -3 (sqrt x))) 2)))))) (/ 1/9 (* x (- (* 1/3 (sqrt (/ 1 x))) (* -3 (sqrt x)))))) (* 9 (/ x (- (* 1/3 (sqrt (/ 1 x))) (* -3 (sqrt x))))))
(fma.f64 (fma.f64 (/.f64 (*.f64 (fma.f64 #s(literal -9 binary64) x (/.f64 #s(literal 1/9 binary64) x)) (sqrt.f64 x)) (pow.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64) (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) #s(literal 2 binary64))) #s(literal -3 binary64) (/.f64 #s(literal 2 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64) (*.f64 (sqrt.f64 x) #s(literal 3 binary64))))) y (/.f64 (fma.f64 #s(literal -9 binary64) x (/.f64 #s(literal 1/9 binary64) x)) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64) (*.f64 (sqrt.f64 x) #s(literal 3 binary64)))))
(- (+ (* y (- (+ (* 2 (/ 1 (- (* 1/3 (sqrt (/ 1 x))) (* -3 (sqrt x))))) (* y (- (* 9 (/ x (- (* 1/3 (sqrt (/ 1 x))) (* -3 (sqrt x))))) (* 3 (* (sqrt x) (/ (- (* 2 (/ 1 (- (* 1/3 (sqrt (/ 1 x))) (* -3 (sqrt x))))) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) (* 9 x)) (pow (- (* 1/3 (sqrt (/ 1 x))) (* -3 (sqrt x))) 2))))) (- (* 1/3 (sqrt (/ 1 x))) (* -3 (sqrt x))))))))) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) (* 9 x)) (pow (- (* 1/3 (sqrt (/ 1 x))) (* -3 (sqrt x))) 2)))))) (/ 1/9 (* x (- (* 1/3 (sqrt (/ 1 x))) (* -3 (sqrt x)))))) (* 9 (/ x (- (* 1/3 (sqrt (/ 1 x))) (* -3 (sqrt x))))))
(fma.f64 (fma.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (*.f64 (fma.f64 #s(literal -9 binary64) x (/.f64 #s(literal 1/9 binary64) x)) (sqrt.f64 x)) (pow.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64) (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) #s(literal 2 binary64))) #s(literal -3 binary64) (/.f64 #s(literal 2 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64) (*.f64 (sqrt.f64 x) #s(literal 3 binary64))))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64) (*.f64 (sqrt.f64 x) #s(literal 3 binary64)))) (*.f64 #s(literal -3 binary64) (sqrt.f64 x)) (/.f64 (*.f64 #s(literal 9 binary64) x) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64) (*.f64 (sqrt.f64 x) #s(literal 3 binary64))))) y (fma.f64 (/.f64 (*.f64 (fma.f64 #s(literal -9 binary64) x (/.f64 #s(literal 1/9 binary64) x)) (sqrt.f64 x)) (pow.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64) (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) #s(literal 2 binary64))) #s(literal -3 binary64) (/.f64 #s(literal 2 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64) (*.f64 (sqrt.f64 x) #s(literal 3 binary64)))))) y (/.f64 (fma.f64 #s(literal -9 binary64) x (/.f64 #s(literal 1/9 binary64) x)) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64) (*.f64 (sqrt.f64 x) #s(literal 3 binary64)))))
(- (+ (* y (- (+ (* 2 (/ 1 (- (* 1/3 (sqrt (/ 1 x))) (* -3 (sqrt x))))) (* y (- (+ (* -3 (* (sqrt x) (/ (* y (- (* 9 (/ x (- (* 1/3 (sqrt (/ 1 x))) (* -3 (sqrt x))))) (* 3 (* (sqrt x) (/ (- (* 2 (/ 1 (- (* 1/3 (sqrt (/ 1 x))) (* -3 (sqrt x))))) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) (* 9 x)) (pow (- (* 1/3 (sqrt (/ 1 x))) (* -3 (sqrt x))) 2))))) (- (* 1/3 (sqrt (/ 1 x))) (* -3 (sqrt x)))))))) (- (* 1/3 (sqrt (/ 1 x))) (* -3 (sqrt x)))))) (* 9 (/ x (- (* 1/3 (sqrt (/ 1 x))) (* -3 (sqrt x)))))) (* 3 (* (sqrt x) (/ (- (* 2 (/ 1 (- (* 1/3 (sqrt (/ 1 x))) (* -3 (sqrt x))))) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) (* 9 x)) (pow (- (* 1/3 (sqrt (/ 1 x))) (* -3 (sqrt x))) 2))))) (- (* 1/3 (sqrt (/ 1 x))) (* -3 (sqrt x))))))))) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) (* 9 x)) (pow (- (* 1/3 (sqrt (/ 1 x))) (* -3 (sqrt x))) 2)))))) (/ 1/9 (* x (- (* 1/3 (sqrt (/ 1 x))) (* -3 (sqrt x)))))) (* 9 (/ x (- (* 1/3 (sqrt (/ 1 x))) (* -3 (sqrt x))))))
(fma.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (*.f64 (fma.f64 #s(literal -9 binary64) x (/.f64 #s(literal 1/9 binary64) x)) (sqrt.f64 x)) (pow.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64) (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) #s(literal 2 binary64))) #s(literal -3 binary64) (/.f64 #s(literal 2 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64) (*.f64 (sqrt.f64 x) #s(literal 3 binary64))))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64) (*.f64 (sqrt.f64 x) #s(literal 3 binary64)))) (*.f64 #s(literal -3 binary64) (sqrt.f64 x)) (/.f64 (*.f64 #s(literal 9 binary64) x) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64) (*.f64 (sqrt.f64 x) #s(literal 3 binary64))))) (/.f64 y (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64) (*.f64 (sqrt.f64 x) #s(literal 3 binary64))))) (*.f64 #s(literal -3 binary64) (sqrt.f64 x)) (fma.f64 (/.f64 (fma.f64 (/.f64 (*.f64 (fma.f64 #s(literal -9 binary64) x (/.f64 #s(literal 1/9 binary64) x)) (sqrt.f64 x)) (pow.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64) (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) #s(literal 2 binary64))) #s(literal -3 binary64) (/.f64 #s(literal 2 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64) (*.f64 (sqrt.f64 x) #s(literal 3 binary64))))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64) (*.f64 (sqrt.f64 x) #s(literal 3 binary64)))) (*.f64 #s(literal -3 binary64) (sqrt.f64 x)) (/.f64 (*.f64 #s(literal 9 binary64) x) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64) (*.f64 (sqrt.f64 x) #s(literal 3 binary64)))))) y (fma.f64 (/.f64 (*.f64 (fma.f64 #s(literal -9 binary64) x (/.f64 #s(literal 1/9 binary64) x)) (sqrt.f64 x)) (pow.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64) (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) #s(literal 2 binary64))) #s(literal -3 binary64) (/.f64 #s(literal 2 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64) (*.f64 (sqrt.f64 x) #s(literal 3 binary64)))))) y (/.f64 (fma.f64 #s(literal -9 binary64) x (/.f64 #s(literal 1/9 binary64) x)) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64) (*.f64 (sqrt.f64 x) #s(literal 3 binary64)))))
(/ 1/9 x)
(/.f64 #s(literal 1/9 binary64) x)
(+ (* 2 y) (* 1/9 (/ 1 x)))
(fma.f64 #s(literal 2 binary64) y (/.f64 #s(literal 1/9 binary64) x))
(+ (* y (+ 2 (* 9 (* x y)))) (* 1/9 (/ 1 x)))
(fma.f64 (fma.f64 (*.f64 y x) #s(literal 9 binary64) #s(literal 2 binary64)) y (/.f64 #s(literal 1/9 binary64) x))
(+ (* y (+ 2 (* 9 (* x y)))) (* 1/9 (/ 1 x)))
(fma.f64 (fma.f64 (*.f64 y x) #s(literal 9 binary64) #s(literal 2 binary64)) y (/.f64 #s(literal 1/9 binary64) x))
(- (* 1/3 (sqrt (/ 1 x))) (* -3 (sqrt x)))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64) (*.f64 (sqrt.f64 x) #s(literal 3 binary64)))
(- (+ (* 1/3 (sqrt (/ 1 x))) (* 3 (* (sqrt x) y))) (* -3 (sqrt x)))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64) (*.f64 #s(literal 3 binary64) (fma.f64 y (sqrt.f64 x) (sqrt.f64 x))))
(- (+ (* 1/3 (sqrt (/ 1 x))) (* 3 (* (sqrt x) y))) (* -3 (sqrt x)))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64) (*.f64 #s(literal 3 binary64) (fma.f64 y (sqrt.f64 x) (sqrt.f64 x))))
(- (+ (* 1/3 (sqrt (/ 1 x))) (* 3 (* (sqrt x) y))) (* -3 (sqrt x)))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64) (*.f64 #s(literal 3 binary64) (fma.f64 y (sqrt.f64 x) (sqrt.f64 x))))
(* 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 (*.f64 y #s(literal 3 binary64)) (*.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) y) #s(literal 1 binary64)) (sqrt.f64 x)))
(* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))
(*.f64 (*.f64 y #s(literal 3 binary64)) (*.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) y) #s(literal 1 binary64)) (sqrt.f64 x)))
(* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))
(*.f64 (*.f64 y #s(literal 3 binary64)) (*.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) y) #s(literal 1 binary64)) (sqrt.f64 x)))
(* 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 (*.f64 (sqrt.f64 x) (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 3 binary64)) y) #s(literal 3 binary64))) y)
(* y (+ (* 3 (sqrt x)) (* (sqrt x) (/ (- (* 1/3 (/ 1 x)) 3) y))))
(*.f64 (*.f64 (sqrt.f64 x) (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 3 binary64)) y) #s(literal 3 binary64))) y)
(* y (+ (* 3 (sqrt x)) (* (sqrt x) (/ (- (* 1/3 (/ 1 x)) 3) y))))
(*.f64 (*.f64 (sqrt.f64 x) (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 3 binary64)) y) #s(literal 3 binary64))) y)
(* 3 y)
(*.f64 y #s(literal 3 binary64))
(* y (- (+ 3 (/ 1/3 (* x y))) (* 3 (/ 1 y))))
(*.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 3 binary64)) y) #s(literal 3 binary64)) y)
(* y (- (+ 3 (/ 1/3 (* x y))) (* 3 (/ 1 y))))
(*.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 3 binary64)) y) #s(literal 3 binary64)) y)
(* y (- (+ 3 (/ 1/3 (* x y))) (* 3 (/ 1 y))))
(*.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 3 binary64)) y) #s(literal 3 binary64)) y)
(* 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 (*.f64 y #s(literal 3 binary64)) (*.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) y) #s(literal 1 binary64)) (sqrt.f64 x)))
(* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))
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(* -9 (* x (pow (sqrt -1) 2)))
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(/ 1/3 x)
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(/ 1/3 x)
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(/ 1/3 x)
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(/ 1/3 x)
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(* 3 (* (sqrt x) (pow (sqrt -1) 2)))
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(* 3 (* (sqrt x) (pow (sqrt -1) 2)))
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rewrite252.0ms (2.8%)

Memory
-22.4MiB live, 259.0MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
040246
064198
1263182
22241182
08313179
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
20 → 507
Calls
Call 1
Inputs
#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))))
(*.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 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64)))
(*.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64))
(*.f64 y (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))))
(*.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)))
(fma.f64 (*.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) (sqrt.f64 x)) #s(literal 3 binary64) (*.f64 #s(literal -3 binary64) (sqrt.f64 x)))
(*.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) (sqrt.f64 x))
(+.f64 y (/.f64 #s(literal 1/9 binary64) x))
(/.f64 #s(literal 1/9 binary64) x)
(/.f64 (-.f64 (*.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 #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))))
(*.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 (*.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #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)))
(/.f64 #s(literal 1/3 binary64) x)
(*.f64 #s(literal -3 binary64) (sqrt.f64 x))
Outputs
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eval373.0ms (4.1%)

Memory
54.2MiB live, 355.6MiB allocated
Compiler

Compiled 51 888 to 3 055 computations (94.1% saved)

prune104.0ms (1.1%)

Memory
-24.1MiB live, 224.9MiB allocated
Pruning

28 alts after pruning (26 fresh and 2 done)

PrunedKeptTotal
New1 495191 514
Fresh13720
Picked325
Done101
Total1 512281 540
Accuracy
100.0%
Counts
1 540 → 28
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶99.5%
(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))))
93.2%
(fma.f64 (*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y)) (/.f64 (*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y)) (*.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal 3 binary64) #s(literal 3 binary64)) (sqrt.f64 x))) (neg.f64 (/.f64 (/.f64 (*.f64 #s(literal 9 binary64) x) (sqrt.f64 x)) (fma.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal 3 binary64) #s(literal 3 binary64)))))
99.5%
(fma.f64 (sqrt.f64 x) #s(literal -3 binary64) (*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y)))
57.1%
(fma.f64 #s(approx (* (+ y (/ 1/9 x)) (sqrt x)) (*.f64 y (sqrt.f64 x))) #s(literal 3 binary64) (*.f64 #s(literal -3 binary64) (sqrt.f64 x)))
53.7%
(/.f64 (*.f64 x (-.f64 (pow.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal 3 binary64)) #s(literal 2 binary64)) #s(literal 9 binary64))) (*.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal 3 binary64) #s(literal 3 binary64)) (sqrt.f64 x)))
99.4%
(*.f64 (fma.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 x))
99.5%
(*.f64 (-.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 1 binary64)) (*.f64 (sqrt.f64 x) #s(literal 3 binary64)))
99.4%
(*.f64 (*.f64 (-.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 1 binary64)) (sqrt.f64 x)) #s(literal 3 binary64))
66.5%
(*.f64 (*.f64 #s(approx (- (+ y (/ 1 (* x 9))) 1) (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64))) (sqrt.f64 x)) #s(literal 3 binary64))
66.2%
(*.f64 (*.f64 #s(literal 3 binary64) (*.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 (sqrt.f64 x)))) #s(approx (- (+ y (/ 1 (* x 9))) 1) (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64))))
▶42.2%
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) #s(approx (- (+ y (/ 1 (* x 9))) 1) (/.f64 #s(literal 1/9 binary64) x)))
66.6%
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) #s(approx (- (+ y (/ 1 (* x 9))) 1) (-.f64 (pow.f64 (*.f64 #s(literal -3 binary64) (sqrt.f64 x)) #s(literal -2 binary64)) #s(literal 1 binary64))))
66.5%
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) #s(approx (- (+ y (/ 1 (* x 9))) 1) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 9 binary64) x)) #s(literal 1 binary64))))
43.6%
#s(approx (/ (- (* (* (* (+ y (/ 1/9 x)) 3) (sqrt x)) (* (* (+ y (/ 1/9 x)) 3) (sqrt x))) (* (* -3 (sqrt x)) (* -3 (sqrt x)))) (- (* (* (+ y (/ 1/9 x)) 3) (sqrt x)) (* -3 (sqrt x)))) (/.f64 (fma.f64 (*.f64 y y) #s(literal 9 binary64) #s(literal -9 binary64)) (*.f64 #s(literal 3 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))))
66.5%
#s(approx (/ (- (* (* (* (+ y (/ 1/9 x)) 3) (sqrt x)) (* (* (+ y (/ 1/9 x)) 3) (sqrt x))) (* (* -3 (sqrt x)) (* -3 (sqrt x)))) (- (* (* (+ y (/ 1/9 x)) 3) (sqrt x)) (* -3 (sqrt x)))) (/.f64 (fma.f64 #s(literal -9 binary64) x (/.f64 #s(literal 1/9 binary64) x)) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64) (*.f64 (sqrt.f64 x) #s(literal 3 binary64)))))
42.3%
#s(approx (/ (- (* (* (* (+ y (/ 1/9 x)) 3) (sqrt x)) (* (* (+ y (/ 1/9 x)) 3) (sqrt x))) (* (* -3 (sqrt x)) (* -3 (sqrt x)))) (- (* (* (+ y (/ 1/9 x)) 3) (sqrt x)) (* -3 (sqrt x)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64)))
▶99.5%
#s(approx (+ (* (* (+ y (/ 1/9 x)) (sqrt x)) 3) (* -3 (sqrt x))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64) (*.f64 (*.f64 #s(literal 3 binary64) (-.f64 y #s(literal 1 binary64))) (sqrt.f64 x))))
▶53.7%
#s(approx (+ (* (* (+ y (/ 1/9 x)) (sqrt x)) 3) (* -3 (sqrt x))) (*.f64 (*.f64 x #s(literal 3 binary64)) (*.f64 (-.f64 y #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))
57.1%
#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)))
66.6%
#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)))
34.8%
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) y))
✓34.8%
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64)))
77.8%
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 y #s(literal 3 binary64)) (*.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) y) #s(literal 1 binary64)) (sqrt.f64 x))))
▶34.8%
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 y #s(literal 3 binary64)) (sqrt.f64 x)))
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 binary64) (*.f64 x #s(literal 3 binary64))))))
✓99.5%
#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))))
42.3%
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 x) #s(approx (+ (* (- 1 y) -3) (/ 1/3 x)) (/.f64 #s(literal 1/3 binary64) x))))
77.8%
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) #s(approx (* (sqrt x) (+ (* (- 1 y) -3) (/ 1/3 x))) (*.f64 (*.f64 (sqrt.f64 x) (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 3 binary64)) y) #s(literal 3 binary64))) y)))
Compiler

Compiled 763 to 610 computations (20.1% saved)

simplify314.0ms (3.5%)

Memory
-3.2MiB live, 149.1MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f64 #s(literal 1/9 binary64) x)
cost-diff0
(-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64))
cost-diff0
(*.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) (sqrt.f64 x))
cost-diff1280
(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))))
cost-diff0
(*.f64 (-.f64 y #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
cost-diff0
(*.f64 x #s(literal 3 binary64))
cost-diff0
#s(approx (+ (* (* (+ y (/ 1/9 x)) (sqrt x)) 3) (* -3 (sqrt x))) (*.f64 (*.f64 x #s(literal 3 binary64)) (*.f64 (-.f64 y #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))
cost-diff128
(*.f64 (*.f64 x #s(literal 3 binary64)) (*.f64 (-.f64 y #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
cost-diff0
#s(approx (- (+ y (/ 1 (* x 9))) 1) (/.f64 #s(literal 1/9 binary64) x))
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 #s(literal 1/9 binary64) x)))
cost-diff0
(sqrt.f64 x)
cost-diff0
(*.f64 y #s(literal 3 binary64))
cost-diff0
(*.f64 (*.f64 y #s(literal 3 binary64)) (sqrt.f64 x))
cost-diff0
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 y #s(literal 3 binary64)) (sqrt.f64 x)))
cost-diff0
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
cost-diff0
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64) (*.f64 (*.f64 #s(literal 3 binary64) (-.f64 y #s(literal 1 binary64))) (sqrt.f64 x)))
cost-diff0
#s(approx (+ (* (* (+ y (/ 1/9 x)) (sqrt x)) 3) (* -3 (sqrt x))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64) (*.f64 (*.f64 #s(literal 3 binary64) (-.f64 y #s(literal 1 binary64))) (sqrt.f64 x))))
cost-diff128
(*.f64 #s(literal 3 binary64) (-.f64 y #s(literal 1 binary64)))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
045266
069266
1120256
2243250
3481250
4759250
51010250
61508250
72681250
84353250
95716250
106093250
116384250
126538250
136568250
146659250
156719250
166953250
177453250
187591250
197661250
207837250
217975250
227979250
237979250
08243240
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
#s(approx (+ (* (* (+ y (/ 1/9 x)) (sqrt x)) 3) (* -3 (sqrt x))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64) (*.f64 (*.f64 #s(literal 3 binary64) (-.f64 y #s(literal 1 binary64))) (sqrt.f64 x))))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64) (*.f64 (*.f64 #s(literal 3 binary64) (-.f64 y #s(literal 1 binary64))) (sqrt.f64 x)))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
#s(literal 1/3 binary64)
(*.f64 (*.f64 #s(literal 3 binary64) (-.f64 y #s(literal 1 binary64))) (sqrt.f64 x))
(*.f64 #s(literal 3 binary64) (-.f64 y #s(literal 1 binary64)))
#s(literal 3 binary64)
(-.f64 y #s(literal 1 binary64))
y
(sqrt.f64 x)
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 y #s(literal 3 binary64)) (sqrt.f64 x)))
(*.f64 (*.f64 y #s(literal 3 binary64)) (sqrt.f64 x))
(*.f64 y #s(literal 3 binary64))
y
#s(literal 3 binary64)
(sqrt.f64 x)
x
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) #s(approx (- (+ y (/ 1 (* x 9))) 1) (/.f64 #s(literal 1/9 binary64) x)))
(*.f64 #s(literal 3 binary64) (sqrt.f64 x))
#s(literal 3 binary64)
(sqrt.f64 x)
x
#s(approx (- (+ y (/ 1 (* x 9))) 1) (/.f64 #s(literal 1/9 binary64) x))
(/.f64 #s(literal 1/9 binary64) x)
#s(literal 1/9 binary64)
#s(approx (+ (* (* (+ y (/ 1/9 x)) (sqrt x)) 3) (* -3 (sqrt x))) (*.f64 (*.f64 x #s(literal 3 binary64)) (*.f64 (-.f64 y #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))
(*.f64 (*.f64 x #s(literal 3 binary64)) (*.f64 (-.f64 y #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
(*.f64 x #s(literal 3 binary64))
x
#s(literal 3 binary64)
(*.f64 (-.f64 y #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(-.f64 y #s(literal 1 binary64))
y
#s(literal 1 binary64)
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) 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))))
(*.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) (sqrt.f64 x))
(-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64))
(/.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 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64)))
y
(*.f64 (sqrt.f64 x) #s(literal 3 binary64))
Outputs
#s(approx (+ (* (* (+ y (/ 1/9 x)) (sqrt x)) 3) (* -3 (sqrt x))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64) (*.f64 (*.f64 #s(literal 3 binary64) (-.f64 y #s(literal 1 binary64))) (sqrt.f64 x))))
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)))))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64) (*.f64 (*.f64 #s(literal 3 binary64) (-.f64 y #s(literal 1 binary64))) (sqrt.f64 x)))
(fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -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)
(*.f64 (*.f64 #s(literal 3 binary64) (-.f64 y #s(literal 1 binary64))) (sqrt.f64 x))
(*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)))
(*.f64 #s(literal 3 binary64) (-.f64 y #s(literal 1 binary64)))
(fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))
#s(literal 3 binary64)
(-.f64 y #s(literal 1 binary64))
y
(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 (sqrt.f64 x) #s(literal 3 binary64)) y))
(*.f64 (*.f64 y #s(literal 3 binary64)) (sqrt.f64 x))
(*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) y)
(*.f64 y #s(literal 3 binary64))
(*.f64 #s(literal 3 binary64) y)
y
#s(literal 3 binary64)
(sqrt.f64 x)
x
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) #s(approx (- (+ y (/ 1 (* x 9))) 1) (/.f64 #s(literal 1/9 binary64) x)))
(*.f64 #s(approx (- (+ y (/ 1 (* x 9))) 1) (/.f64 #s(literal 1/9 binary64) x)) (*.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 #s(literal 1/9 binary64) x))
(/.f64 #s(literal 1/9 binary64) x)
#s(literal 1/9 binary64)
#s(approx (+ (* (* (+ y (/ 1/9 x)) (sqrt x)) 3) (* -3 (sqrt x))) (*.f64 (*.f64 x #s(literal 3 binary64)) (*.f64 (-.f64 y #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
(*.f64 (*.f64 x #s(literal 3 binary64)) (*.f64 (-.f64 y #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
(*.f64 (*.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(*.f64 x #s(literal 3 binary64))
(*.f64 #s(literal 3 binary64) x)
x
#s(literal 3 binary64)
(*.f64 (-.f64 y #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(-.f64 y #s(literal 1 binary64))
y
#s(literal 1 binary64)
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) 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))))
(*.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 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) (sqrt.f64 x))
(-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64))
(/.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 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64)))
(*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) y)
y
(*.f64 (sqrt.f64 x) #s(literal 3 binary64))

localize130.0ms (1.4%)

Memory
5.6MiB live, 288.8MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.19921875
(*.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64)))
accuracy0.20931625976844204
(*.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) (sqrt.f64 x))
accuracy0.2578125
(*.f64 (sqrt.f64 x) #s(literal 3 binary64))
accuracy0.359375
(/.f64 #s(literal 1/9 binary64) x)
accuracy0.1328125
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
accuracy0.13671875
(*.f64 (-.f64 y #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
accuracy4.126927356210085
(*.f64 (*.f64 x #s(literal 3 binary64)) (*.f64 (-.f64 y #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
accuracy27.312699532430916
#s(approx (+ (* (* (+ y (/ 1/9 x)) (sqrt x)) 3) (* -3 (sqrt x))) (*.f64 (*.f64 x #s(literal 3 binary64)) (*.f64 (-.f64 y #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))
accuracy0.23046875
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) #s(approx (- (+ y (/ 1 (* x 9))) 1) (/.f64 #s(literal 1/9 binary64) x)))
accuracy0.2578125
(*.f64 #s(literal 3 binary64) (sqrt.f64 x))
accuracy0.359375
(/.f64 #s(literal 1/9 binary64) x)
accuracy36.69969278628381
#s(approx (- (+ y (/ 1 (* x 9))) 1) (/.f64 #s(literal 1/9 binary64) x))
accuracy0
(*.f64 y #s(literal 3 binary64))
accuracy0
(sqrt.f64 x)
accuracy0.27734375
(*.f64 (*.f64 y #s(literal 3 binary64)) (sqrt.f64 x))
accuracy41.67550281403397
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 y #s(literal 3 binary64)) (sqrt.f64 x)))
accuracy0.08203125
(*.f64 #s(literal 3 binary64) (-.f64 y #s(literal 1 binary64)))
accuracy0.1328125
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
accuracy0.1796875
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64) (*.f64 (*.f64 #s(literal 3 binary64) (-.f64 y #s(literal 1 binary64))) (sqrt.f64 x)))
accuracy0.25390625
(*.f64 (*.f64 #s(literal 3 binary64) (-.f64 y #s(literal 1 binary64))) (sqrt.f64 x))
Samples
94.0ms238×0valid
6.0ms11×1valid
5.0ms7×2valid
Compiler

Compiled 227 to 41 computations (81.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 79.0ms
ival-mult: 31.0ms (39.2% of total)
ival-sqrt: 21.0ms (26.6% of total)
const: 8.0ms (10.1% of total)
ival-div: 7.0ms (8.9% of total)
ival-add: 6.0ms (7.6% of total)
ival-sub: 4.0ms (5.1% of total)
adjust: 2.0ms (2.5% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series39.0ms (0.4%)

Memory
-2.6MiB live, 87.0MiB allocated
Counts
22 → 408
Calls
Call 1
Inputs
#s(alt (*.f64 #s(literal 3 binary64) (-.f64 y #s(literal 1 binary64))) (patch (*.f64 #s(literal 3 binary64) (-.f64 y #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt #s(approx (+ (* (* (+ y (/ 1/9 x)) (sqrt x)) 3) (* -3 (sqrt x))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64) (*.f64 (*.f64 #s(literal 3 binary64) (-.f64 y #s(literal 1 binary64))) (sqrt.f64 x)))) (patch #s(approx (+ (* (* (+ y (/ 1/9 x)) (sqrt x)) 3) (* -3 (sqrt x))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64) (*.f64 (*.f64 #s(literal 3 binary64) (-.f64 y #s(literal 1 binary64))) (sqrt.f64 x)))) #<representation binary64>) () ())
#s(alt (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64) (*.f64 (*.f64 #s(literal 3 binary64) (-.f64 y #s(literal 1 binary64))) (sqrt.f64 x))) (patch (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64) (*.f64 (*.f64 #s(literal 3 binary64) (-.f64 y #s(literal 1 binary64))) (sqrt.f64 x))) #<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 #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 y #s(literal 3 binary64)) (sqrt.f64 x))) (patch #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 y #s(literal 3 binary64)) (sqrt.f64 x))) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 y #s(literal 3 binary64)) (sqrt.f64 x)) (patch (*.f64 (*.f64 y #s(literal 3 binary64)) (sqrt.f64 x)) #<representation binary64>) () ())
#s(alt (*.f64 y #s(literal 3 binary64)) (patch (*.f64 y #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 #s(literal 1/9 binary64) x))) (patch (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) #s(approx (- (+ y (/ 1 (* x 9))) 1) (/.f64 #s(literal 1/9 binary64) x))) #<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 #s(literal 1/9 binary64) x)) (patch #s(approx (- (+ y (/ 1 (* x 9))) 1) (/.f64 #s(literal 1/9 binary64) x)) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 x #s(literal 3 binary64)) (*.f64 (-.f64 y #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (patch (*.f64 (*.f64 x #s(literal 3 binary64)) (*.f64 (-.f64 y #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) #<representation binary64>) () ())
#s(alt #s(approx (+ (* (* (+ y (/ 1/9 x)) (sqrt x)) 3) (* -3 (sqrt x))) (*.f64 (*.f64 x #s(literal 3 binary64)) (*.f64 (-.f64 y #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) (patch #s(approx (+ (* (* (+ y (/ 1/9 x)) (sqrt x)) 3) (* -3 (sqrt x))) (*.f64 (*.f64 x #s(literal 3 binary64)) (*.f64 (-.f64 y #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) #<representation binary64>) () ())
#s(alt (*.f64 x #s(literal 3 binary64)) (patch (*.f64 x #s(literal 3 binary64)) #<representation binary64>) () ())
#s(alt (*.f64 (-.f64 y #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (patch (*.f64 (-.f64 y #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) #<representation binary64>) () ())
#s(alt (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)))) (patch (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)))) #<representation binary64>) () ())
#s(alt (*.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) (sqrt.f64 x)) (patch (*.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) (sqrt.f64 x)) #<representation binary64>) () ())
#s(alt (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) (patch (-.f64 (/.f64 #s(literal 1/9 binary64) x) #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>) () ())
#s(alt (*.f64 (*.f64 #s(literal 3 binary64) (-.f64 y #s(literal 1 binary64))) (sqrt.f64 x)) (patch (*.f64 (*.f64 #s(literal 3 binary64) (-.f64 y #s(literal 1 binary64))) (sqrt.f64 x)) #<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 (*.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) (patch (*.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) #<representation binary64>) () ())
Outputs
#s(alt -3 (taylor 0 y) (#s(alt (*.f64 #s(literal 3 binary64) (-.f64 y #s(literal 1 binary64))) (patch (*.f64 #s(literal 3 binary64) (-.f64 y #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (* 3 y) 3) (taylor 0 y) (#s(alt (*.f64 #s(literal 3 binary64) (-.f64 y #s(literal 1 binary64))) (patch (*.f64 #s(literal 3 binary64) (-.f64 y #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (* 3 y) 3) (taylor 0 y) (#s(alt (*.f64 #s(literal 3 binary64) (-.f64 y #s(literal 1 binary64))) (patch (*.f64 #s(literal 3 binary64) (-.f64 y #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (* 3 y) 3) (taylor 0 y) (#s(alt (*.f64 #s(literal 3 binary64) (-.f64 y #s(literal 1 binary64))) (patch (*.f64 #s(literal 3 binary64) (-.f64 y #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* -3 (sqrt x)) (* 1/3 (sqrt (/ 1 x)))) (taylor 0 y) (#s(alt #s(approx (+ (* (* (+ y (/ 1/9 x)) (sqrt x)) 3) (* -3 (sqrt x))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64) (*.f64 (*.f64 #s(literal 3 binary64) (-.f64 y #s(literal 1 binary64))) (sqrt.f64 x)))) (patch #s(approx (+ (* (* (+ y (/ 1/9 x)) (sqrt x)) 3) (* -3 (sqrt x))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64) (*.f64 (*.f64 #s(literal 3 binary64) (-.f64 y #s(literal 1 binary64))) (sqrt.f64 x)))) #<representation binary64>) () ())) ())
#s(alt (+ (* -3 (sqrt x)) (+ (* 1/3 (sqrt (/ 1 x))) (* 3 (* (sqrt x) y)))) (taylor 0 y) (#s(alt #s(approx (+ (* (* (+ y (/ 1/9 x)) (sqrt x)) 3) (* -3 (sqrt x))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64) (*.f64 (*.f64 #s(literal 3 binary64) (-.f64 y #s(literal 1 binary64))) (sqrt.f64 x)))) (patch #s(approx (+ (* (* (+ y (/ 1/9 x)) (sqrt x)) 3) (* -3 (sqrt x))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64) (*.f64 (*.f64 #s(literal 3 binary64) (-.f64 y #s(literal 1 binary64))) (sqrt.f64 x)))) #<representation binary64>) () ())) ())
#s(alt (+ (* -3 (sqrt x)) (+ (* 1/3 (sqrt (/ 1 x))) (* 3 (* (sqrt x) y)))) (taylor 0 y) (#s(alt #s(approx (+ (* (* (+ y (/ 1/9 x)) (sqrt x)) 3) (* -3 (sqrt x))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64) (*.f64 (*.f64 #s(literal 3 binary64) (-.f64 y #s(literal 1 binary64))) (sqrt.f64 x)))) (patch #s(approx (+ (* (* (+ y (/ 1/9 x)) (sqrt x)) 3) (* -3 (sqrt x))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64) (*.f64 (*.f64 #s(literal 3 binary64) (-.f64 y #s(literal 1 binary64))) (sqrt.f64 x)))) #<representation binary64>) () ())) ())
#s(alt (+ (* -3 (sqrt x)) (+ (* 1/3 (sqrt (/ 1 x))) (* 3 (* (sqrt x) y)))) (taylor 0 y) (#s(alt #s(approx (+ (* (* (+ y (/ 1/9 x)) (sqrt x)) 3) (* -3 (sqrt x))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64) (*.f64 (*.f64 #s(literal 3 binary64) (-.f64 y #s(literal 1 binary64))) (sqrt.f64 x)))) (patch #s(approx (+ (* (* (+ y (/ 1/9 x)) (sqrt x)) 3) (* -3 (sqrt x))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64) (*.f64 (*.f64 #s(literal 3 binary64) (-.f64 y #s(literal 1 binary64))) (sqrt.f64 x)))) #<representation binary64>) () ())) ())
#s(alt (+ (* -3 (sqrt x)) (* 1/3 (sqrt (/ 1 x)))) (taylor 0 y) (#s(alt (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64) (*.f64 (*.f64 #s(literal 3 binary64) (-.f64 y #s(literal 1 binary64))) (sqrt.f64 x))) (patch (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64) (*.f64 (*.f64 #s(literal 3 binary64) (-.f64 y #s(literal 1 binary64))) (sqrt.f64 x))) #<representation binary64>) () ())) ())
#s(alt (+ (* -3 (sqrt x)) (+ (* 1/3 (sqrt (/ 1 x))) (* 3 (* (sqrt x) y)))) (taylor 0 y) (#s(alt (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64) (*.f64 (*.f64 #s(literal 3 binary64) (-.f64 y #s(literal 1 binary64))) (sqrt.f64 x))) (patch (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64) (*.f64 (*.f64 #s(literal 3 binary64) (-.f64 y #s(literal 1 binary64))) (sqrt.f64 x))) #<representation binary64>) () ())) ())
#s(alt (+ (* -3 (sqrt x)) (+ (* 1/3 (sqrt (/ 1 x))) (* 3 (* (sqrt x) y)))) (taylor 0 y) (#s(alt (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64) (*.f64 (*.f64 #s(literal 3 binary64) (-.f64 y #s(literal 1 binary64))) (sqrt.f64 x))) (patch (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64) (*.f64 (*.f64 #s(literal 3 binary64) (-.f64 y #s(literal 1 binary64))) (sqrt.f64 x))) #<representation binary64>) () ())) ())
#s(alt (+ (* -3 (sqrt x)) (+ (* 1/3 (sqrt (/ 1 x))) (* 3 (* (sqrt x) y)))) (taylor 0 y) (#s(alt (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64) (*.f64 (*.f64 #s(literal 3 binary64) (-.f64 y #s(literal 1 binary64))) (sqrt.f64 x))) (patch (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64) (*.f64 (*.f64 #s(literal 3 binary64) (-.f64 y #s(literal 1 binary64))) (sqrt.f64 x))) #<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 y #s(literal 3 binary64)) (sqrt.f64 x))) (patch #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 y #s(literal 3 binary64)) (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 (*.f64 y #s(literal 3 binary64)) (sqrt.f64 x))) (patch #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 y #s(literal 3 binary64)) (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 (*.f64 y #s(literal 3 binary64)) (sqrt.f64 x))) (patch #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 y #s(literal 3 binary64)) (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 (*.f64 y #s(literal 3 binary64)) (sqrt.f64 x))) (patch #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 y #s(literal 3 binary64)) (sqrt.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* 3 (* (sqrt x) y)) (taylor 0 y) (#s(alt (*.f64 (*.f64 y #s(literal 3 binary64)) (sqrt.f64 x)) (patch (*.f64 (*.f64 y #s(literal 3 binary64)) (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* 3 (* (sqrt x) y)) (taylor 0 y) (#s(alt (*.f64 (*.f64 y #s(literal 3 binary64)) (sqrt.f64 x)) (patch (*.f64 (*.f64 y #s(literal 3 binary64)) (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* 3 (* (sqrt x) y)) (taylor 0 y) (#s(alt (*.f64 (*.f64 y #s(literal 3 binary64)) (sqrt.f64 x)) (patch (*.f64 (*.f64 y #s(literal 3 binary64)) (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* 3 (* (sqrt x) y)) (taylor 0 y) (#s(alt (*.f64 (*.f64 y #s(literal 3 binary64)) (sqrt.f64 x)) (patch (*.f64 (*.f64 y #s(literal 3 binary64)) (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* 3 y) (taylor 0 y) (#s(alt (*.f64 y #s(literal 3 binary64)) (patch (*.f64 y #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 3 y) (taylor 0 y) (#s(alt (*.f64 y #s(literal 3 binary64)) (patch (*.f64 y #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 3 y) (taylor 0 y) (#s(alt (*.f64 y #s(literal 3 binary64)) (patch (*.f64 y #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 3 y) (taylor 0 y) (#s(alt (*.f64 y #s(literal 3 binary64)) (patch (*.f64 y #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 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 #s(literal 1/9 binary64) x))) (patch (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) #s(approx (- (+ y (/ 1 (* x 9))) 1) (/.f64 #s(literal 1/9 binary64) x))) #<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 #s(literal 1/9 binary64) x))) (patch (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) #s(approx (- (+ y (/ 1 (* x 9))) 1) (/.f64 #s(literal 1/9 binary64) x))) #<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 #s(literal 1/9 binary64) x))) (patch (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) #s(approx (- (+ y (/ 1 (* x 9))) 1) (/.f64 #s(literal 1/9 binary64) x))) #<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 #s(literal 1/9 binary64) x))) (patch (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) #s(approx (- (+ y (/ 1 (* x 9))) 1) (/.f64 #s(literal 1/9 binary64) x))) #<representation binary64>) () ())) ())
#s(alt (- (* 1/9 (/ 1 x)) 1) (taylor 0 y) (#s(alt #s(approx (- (+ y (/ 1 (* x 9))) 1) (/.f64 #s(literal 1/9 binary64) x)) (patch #s(approx (- (+ y (/ 1 (* x 9))) 1) (/.f64 #s(literal 1/9 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (- (+ y (* 1/9 (/ 1 x))) 1) (taylor 0 y) (#s(alt #s(approx (- (+ y (/ 1 (* x 9))) 1) (/.f64 #s(literal 1/9 binary64) x)) (patch #s(approx (- (+ y (/ 1 (* x 9))) 1) (/.f64 #s(literal 1/9 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (- (+ y (* 1/9 (/ 1 x))) 1) (taylor 0 y) (#s(alt #s(approx (- (+ y (/ 1 (* x 9))) 1) (/.f64 #s(literal 1/9 binary64) x)) (patch #s(approx (- (+ y (/ 1 (* x 9))) 1) (/.f64 #s(literal 1/9 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (- (+ y (* 1/9 (/ 1 x))) 1) (taylor 0 y) (#s(alt #s(approx (- (+ y (/ 1 (* x 9))) 1) (/.f64 #s(literal 1/9 binary64) x)) (patch #s(approx (- (+ y (/ 1 (* x 9))) 1) (/.f64 #s(literal 1/9 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* -3 (sqrt x)) (taylor 0 y) (#s(alt (*.f64 (*.f64 x #s(literal 3 binary64)) (*.f64 (-.f64 y #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (patch (*.f64 (*.f64 x #s(literal 3 binary64)) (*.f64 (-.f64 y #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) #<representation binary64>) () ())) ())
#s(alt (+ (* -3 (sqrt x)) (* 3 (* (sqrt x) y))) (taylor 0 y) (#s(alt (*.f64 (*.f64 x #s(literal 3 binary64)) (*.f64 (-.f64 y #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (patch (*.f64 (*.f64 x #s(literal 3 binary64)) (*.f64 (-.f64 y #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) #<representation binary64>) () ())) ())
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#s(alt (* -1 (* x (+ (* -3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))))) (taylor -inf x) (#s(alt (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)))) (patch (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)))) #<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))) (* 3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))))) (taylor -inf x) (#s(alt (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)))) (patch (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)))) #<representation binary64>) () ())) ())
#s(alt (* (sqrt x) (pow (sqrt -1) 2)) (taylor -inf x) (#s(alt (*.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) (sqrt.f64 x)) (patch (*.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/9 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))))) (taylor -inf x) (#s(alt (*.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) (sqrt.f64 x)) (patch (*.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/9 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))))) (taylor -inf x) (#s(alt (*.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) (sqrt.f64 x)) (patch (*.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/9 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))))) (taylor -inf x) (#s(alt (*.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) (sqrt.f64 x)) (patch (*.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt -1 (taylor -inf x) (#s(alt (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) (patch (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (* 1/9 (/ 1 x)) 1) (taylor -inf x) (#s(alt (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) (patch (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (* 1/9 (/ 1 x)) 1) (taylor -inf x) (#s(alt (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) (patch (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (* 1/9 (/ 1 x)) 1) (taylor -inf x) (#s(alt (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) (patch (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#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>) () ())) ())
#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>) () ())) ())
#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>) () ())) ())
#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>) () ())) ())
#s(alt (* -3 (* (sqrt x) (* (pow (sqrt -1) 2) (- y 1)))) (taylor -inf x) (#s(alt (*.f64 (*.f64 #s(literal 3 binary64) (-.f64 y #s(literal 1 binary64))) (sqrt.f64 x)) (patch (*.f64 (*.f64 #s(literal 3 binary64) (-.f64 y #s(literal 1 binary64))) (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* -3 (* (sqrt x) (* (pow (sqrt -1) 2) (- y 1)))) (taylor -inf x) (#s(alt (*.f64 (*.f64 #s(literal 3 binary64) (-.f64 y #s(literal 1 binary64))) (sqrt.f64 x)) (patch (*.f64 (*.f64 #s(literal 3 binary64) (-.f64 y #s(literal 1 binary64))) (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* -3 (* (sqrt x) (* (pow (sqrt -1) 2) (- y 1)))) (taylor -inf x) (#s(alt (*.f64 (*.f64 #s(literal 3 binary64) (-.f64 y #s(literal 1 binary64))) (sqrt.f64 x)) (patch (*.f64 (*.f64 #s(literal 3 binary64) (-.f64 y #s(literal 1 binary64))) (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* -3 (* (sqrt x) (* (pow (sqrt -1) 2) (- y 1)))) (taylor -inf x) (#s(alt (*.f64 (*.f64 #s(literal 3 binary64) (-.f64 y #s(literal 1 binary64))) (sqrt.f64 x)) (patch (*.f64 (*.f64 #s(literal 3 binary64) (-.f64 y #s(literal 1 binary64))) (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* -3 (* (sqrt x) (pow (sqrt -1) 2))) (taylor -inf x) (#s(alt (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) (patch (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -3 (* (sqrt x) (pow (sqrt -1) 2))) (taylor -inf x) (#s(alt (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) (patch (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -3 (* (sqrt x) (pow (sqrt -1) 2))) (taylor -inf x) (#s(alt (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) (patch (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -3 (* (sqrt x) (pow (sqrt -1) 2))) (taylor -inf x) (#s(alt (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) (patch (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -3 (* (sqrt x) (* y (pow (sqrt -1) 2)))) (taylor -inf x) (#s(alt (*.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) (patch (*.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -3 (* (sqrt x) (* y (pow (sqrt -1) 2)))) (taylor -inf x) (#s(alt (*.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) (patch (*.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -3 (* (sqrt x) (* y (pow (sqrt -1) 2)))) (taylor -inf x) (#s(alt (*.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) (patch (*.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -3 (* (sqrt x) (* y (pow (sqrt -1) 2)))) (taylor -inf x) (#s(alt (*.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) (patch (*.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) #<representation binary64>) () ())) ())
Calls

6 calls:

TimeVariablePointExpression
6.0ms
x
@-inf
((* 3 (- y 1)) (+ (* (* (+ y (/ 1/9 x)) (sqrt x)) 3) (* -3 (sqrt x))) (+ (* (sqrt (/ 1 x)) 1/3) (* (* 3 (- y 1)) (sqrt x))) (sqrt (/ 1 x)) (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (* (* y 3) (sqrt x)) (* y 3) (sqrt x) (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1) (* (* x 3) (* (- y 1) (sqrt (/ 1 x)))) (+ (* (* (+ y (/ 1/9 x)) (sqrt x)) 3) (* -3 (sqrt x))) (* x 3) (* (- y 1) (sqrt (/ 1 x))) (+ (* (* (- (/ 1/9 x) 1) (sqrt x)) 3) (* y (* (sqrt x) 3))) (* (- (/ 1/9 x) 1) (sqrt x)) (- (/ 1/9 x) 1) (/ 1/9 x) (* (* 3 (- y 1)) (sqrt x)) (* (sqrt x) 3) (* y (* (sqrt x) 3)))
5.0ms
y
@-inf
((* 3 (- y 1)) (+ (* (* (+ y (/ 1/9 x)) (sqrt x)) 3) (* -3 (sqrt x))) (+ (* (sqrt (/ 1 x)) 1/3) (* (* 3 (- y 1)) (sqrt x))) (sqrt (/ 1 x)) (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (* (* y 3) (sqrt x)) (* y 3) (sqrt x) (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1) (* (* x 3) (* (- y 1) (sqrt (/ 1 x)))) (+ (* (* (+ y (/ 1/9 x)) (sqrt x)) 3) (* -3 (sqrt x))) (* x 3) (* (- y 1) (sqrt (/ 1 x))) (+ (* (* (- (/ 1/9 x) 1) (sqrt x)) 3) (* y (* (sqrt x) 3))) (* (- (/ 1/9 x) 1) (sqrt x)) (- (/ 1/9 x) 1) (/ 1/9 x) (* (* 3 (- y 1)) (sqrt x)) (* (sqrt x) 3) (* y (* (sqrt x) 3)))
3.0ms
x
@0
((* 3 (- y 1)) (+ (* (* (+ y (/ 1/9 x)) (sqrt x)) 3) (* -3 (sqrt x))) (+ (* (sqrt (/ 1 x)) 1/3) (* (* 3 (- y 1)) (sqrt x))) (sqrt (/ 1 x)) (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (* (* y 3) (sqrt x)) (* y 3) (sqrt x) (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1) (* (* x 3) (* (- y 1) (sqrt (/ 1 x)))) (+ (* (* (+ y (/ 1/9 x)) (sqrt x)) 3) (* -3 (sqrt x))) (* x 3) (* (- y 1) (sqrt (/ 1 x))) (+ (* (* (- (/ 1/9 x) 1) (sqrt x)) 3) (* y (* (sqrt x) 3))) (* (- (/ 1/9 x) 1) (sqrt x)) (- (/ 1/9 x) 1) (/ 1/9 x) (* (* 3 (- y 1)) (sqrt x)) (* (sqrt x) 3) (* y (* (sqrt x) 3)))
3.0ms
y
@0
((* 3 (- y 1)) (+ (* (* (+ y (/ 1/9 x)) (sqrt x)) 3) (* -3 (sqrt x))) (+ (* (sqrt (/ 1 x)) 1/3) (* (* 3 (- y 1)) (sqrt x))) (sqrt (/ 1 x)) (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (* (* y 3) (sqrt x)) (* y 3) (sqrt x) (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1) (* (* x 3) (* (- y 1) (sqrt (/ 1 x)))) (+ (* (* (+ y (/ 1/9 x)) (sqrt x)) 3) (* -3 (sqrt x))) (* x 3) (* (- y 1) (sqrt (/ 1 x))) (+ (* (* (- (/ 1/9 x) 1) (sqrt x)) 3) (* y (* (sqrt x) 3))) (* (- (/ 1/9 x) 1) (sqrt x)) (- (/ 1/9 x) 1) (/ 1/9 x) (* (* 3 (- y 1)) (sqrt x)) (* (sqrt x) 3) (* y (* (sqrt x) 3)))
3.0ms
x
@inf
((* 3 (- y 1)) (+ (* (* (+ y (/ 1/9 x)) (sqrt x)) 3) (* -3 (sqrt x))) (+ (* (sqrt (/ 1 x)) 1/3) (* (* 3 (- y 1)) (sqrt x))) (sqrt (/ 1 x)) (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (* (* y 3) (sqrt x)) (* y 3) (sqrt x) (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1) (* (* x 3) (* (- y 1) (sqrt (/ 1 x)))) (+ (* (* (+ y (/ 1/9 x)) (sqrt x)) 3) (* -3 (sqrt x))) (* x 3) (* (- y 1) (sqrt (/ 1 x))) (+ (* (* (- (/ 1/9 x) 1) (sqrt x)) 3) (* y (* (sqrt x) 3))) (* (- (/ 1/9 x) 1) (sqrt x)) (- (/ 1/9 x) 1) (/ 1/9 x) (* (* 3 (- y 1)) (sqrt x)) (* (sqrt x) 3) (* y (* (sqrt x) 3)))

simplify173.0ms (1.9%)

Memory
8.4MiB live, 236.9MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01664314
15024133
216943688
333603642
081703396
Stop Event
1×iter limit
1×node limit
Counts
408 → 406
Calls
Call 1
Inputs
-3
(- (* 3 y) 3)
(- (* 3 y) 3)
(- (* 3 y) 3)
(+ (* -3 (sqrt x)) (* 1/3 (sqrt (/ 1 x))))
(+ (* -3 (sqrt x)) (+ (* 1/3 (sqrt (/ 1 x))) (* 3 (* (sqrt x) y))))
(+ (* -3 (sqrt x)) (+ (* 1/3 (sqrt (/ 1 x))) (* 3 (* (sqrt x) y))))
(+ (* -3 (sqrt x)) (+ (* 1/3 (sqrt (/ 1 x))) (* 3 (* (sqrt x) y))))
(+ (* -3 (sqrt x)) (* 1/3 (sqrt (/ 1 x))))
(+ (* -3 (sqrt x)) (+ (* 1/3 (sqrt (/ 1 x))) (* 3 (* (sqrt x) y))))
(+ (* -3 (sqrt x)) (+ (* 1/3 (sqrt (/ 1 x))) (* 3 (* (sqrt x) y))))
(+ (* -3 (sqrt x)) (+ (* 1/3 (sqrt (/ 1 x))) (* 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))))
(* 3 (* (sqrt x) y))
(* 3 (* (sqrt x) y))
(* 3 (* (sqrt x) y))
(* 3 (* (sqrt x) y))
(* 3 y)
(* 3 y)
(* 3 y)
(* 3 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))
(+ (* -3 (sqrt x)) (* 3 (* (sqrt x) y)))
(+ (* -3 (sqrt x)) (* 3 (* (sqrt x) y)))
(+ (* -3 (sqrt x)) (* 3 (* (sqrt x) y)))
(+ (* -3 (sqrt x)) (* 1/3 (sqrt (/ 1 x))))
(+ (* -3 (sqrt x)) (+ (* 1/3 (sqrt (/ 1 x))) (* 3 (* (sqrt x) y))))
(+ (* -3 (sqrt x)) (+ (* 1/3 (sqrt (/ 1 x))) (* 3 (* (sqrt x) y))))
(+ (* -3 (sqrt x)) (+ (* 1/3 (sqrt (/ 1 x))) (* 3 (* (sqrt x) y))))
(* -1 (sqrt (/ 1 x)))
(+ (* -1 (sqrt (/ 1 x))) (* (sqrt (/ 1 x)) y))
(+ (* -1 (sqrt (/ 1 x))) (* (sqrt (/ 1 x)) y))
(+ (* -1 (sqrt (/ 1 x))) (* (sqrt (/ 1 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))
(+ (* -3 (sqrt x)) (* 3 (* (sqrt x) y)))
(+ (* -3 (sqrt x)) (* 3 (* (sqrt x) y)))
(+ (* -3 (sqrt x)) (* 3 (* (sqrt x) y)))
(* 3 (* (sqrt x) y))
(* 3 (* (sqrt x) y))
(* 3 (* (sqrt x) y))
(* 3 (* (sqrt x) y))
(* 3 y)
(* y (- 3 (* 3 (/ 1 y))))
(* y (- 3 (* 3 (/ 1 y))))
(* y (- 3 (* 3 (/ 1 y))))
(* 3 (* (sqrt x) y))
(* y (+ (* -3 (* (sqrt x) (/ 1 y))) (+ (* 1/3 (* (sqrt (/ 1 x)) (/ 1 y))) (* 3 (sqrt x)))))
(* y (+ (* -3 (* (sqrt x) (/ 1 y))) (+ (* 1/3 (* (sqrt (/ 1 x)) (/ 1 y))) (* 3 (sqrt x)))))
(* y (+ (* -3 (* (sqrt x) (/ 1 y))) (+ (* 1/3 (* (sqrt (/ 1 x)) (/ 1 y))) (* 3 (sqrt x)))))
(* 3 (* (sqrt x) y))
(* y (+ (* -3 (* (sqrt x) (/ 1 y))) (+ (* 1/3 (* (sqrt (/ 1 x)) (/ 1 y))) (* 3 (sqrt x)))))
(* y (+ (* -3 (* (sqrt x) (/ 1 y))) (+ (* 1/3 (* (sqrt (/ 1 x)) (/ 1 y))) (* 3 (sqrt x)))))
(* y (+ (* -3 (* (sqrt x) (/ 1 y))) (+ (* 1/3 (* (sqrt (/ 1 x)) (/ 1 y))) (* 3 (sqrt x)))))
(* 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))
(* 3 y)
(* 3 y)
(* 3 y)
(* 3 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))
(* y (+ (* -3 (* (sqrt x) (/ 1 y))) (* 3 (sqrt x))))
(* y (+ (* -3 (* (sqrt x) (/ 1 y))) (* 3 (sqrt x))))
(* y (+ (* -3 (* (sqrt x) (/ 1 y))) (* 3 (sqrt x))))
(* 3 (* (sqrt x) y))
(* y (+ (* -3 (* (sqrt x) (/ 1 y))) (+ (* 1/3 (* (sqrt (/ 1 x)) (/ 1 y))) (* 3 (sqrt x)))))
(* y (+ (* -3 (* (sqrt x) (/ 1 y))) (+ (* 1/3 (* (sqrt (/ 1 x)) (/ 1 y))) (* 3 (sqrt x)))))
(* y (+ (* -3 (* (sqrt x) (/ 1 y))) (+ (* 1/3 (* (sqrt (/ 1 x)) (/ 1 y))) (* 3 (sqrt x)))))
(* (sqrt (/ 1 x)) y)
(* y (+ (sqrt (/ 1 x)) (* -1 (* (sqrt (/ 1 x)) (/ 1 y)))))
(* y (+ (sqrt (/ 1 x)) (* -1 (* (sqrt (/ 1 x)) (/ 1 y)))))
(* y (+ (sqrt (/ 1 x)) (* -1 (* (sqrt (/ 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) (/ 1 y))) (* 3 (sqrt x))))
(* y (+ (* -3 (* (sqrt x) (/ 1 y))) (* 3 (sqrt x))))
(* y (+ (* -3 (* (sqrt x) (/ 1 y))) (* 3 (sqrt x))))
(* 3 (* (sqrt x) y))
(* 3 (* (sqrt x) y))
(* 3 (* (sqrt x) y))
(* 3 (* (sqrt x) y))
(* 3 y)
(* -1 (* y (- (* 3 (/ 1 y)) 3)))
(* -1 (* y (- (* 3 (/ 1 y)) 3)))
(* -1 (* y (- (* 3 (/ 1 y)) 3)))
(* 3 (* (sqrt x) y))
(* -1 (* y (+ (* -3 (sqrt x)) (* -1 (/ (+ (* -3 (sqrt x)) (* 1/3 (sqrt (/ 1 x)))) y)))))
(* -1 (* y (+ (* -3 (sqrt x)) (* -1 (/ (+ (* -3 (sqrt x)) (* 1/3 (sqrt (/ 1 x)))) y)))))
(* -1 (* y (+ (* -3 (sqrt x)) (* -1 (/ (+ (* -3 (sqrt x)) (* 1/3 (sqrt (/ 1 x)))) y)))))
(* 3 (* (sqrt x) y))
(* -1 (* y (+ (* -3 (sqrt x)) (* -1 (/ (+ (* -3 (sqrt x)) (* 1/3 (sqrt (/ 1 x)))) y)))))
(* -1 (* y (+ (* -3 (sqrt x)) (* -1 (/ (+ (* -3 (sqrt x)) (* 1/3 (sqrt (/ 1 x)))) y)))))
(* -1 (* y (+ (* -3 (sqrt x)) (* -1 (/ (+ (* -3 (sqrt x)) (* 1/3 (sqrt (/ 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))))))
(* 3 (* (sqrt x) y))
(* 3 (* (sqrt x) y))
(* 3 (* (sqrt x) y))
(* 3 (* (sqrt x) y))
(* 3 y)
(* 3 y)
(* 3 y)
(* 3 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 y))))))
(* -1 (* y (+ (* -3 (sqrt x)) (* 3 (* (sqrt x) (/ 1 y))))))
(* -1 (* y (+ (* -3 (sqrt x)) (* 3 (* (sqrt x) (/ 1 y))))))
(* 3 (* (sqrt x) y))
(* -1 (* y (+ (* -3 (sqrt x)) (* -1 (/ (+ (* -3 (sqrt x)) (* 1/3 (sqrt (/ 1 x)))) y)))))
(* -1 (* y (+ (* -3 (sqrt x)) (* -1 (/ (+ (* -3 (sqrt x)) (* 1/3 (sqrt (/ 1 x)))) y)))))
(* -1 (* y (+ (* -3 (sqrt x)) (* -1 (/ (+ (* -3 (sqrt x)) (* 1/3 (sqrt (/ 1 x)))) y)))))
(* (sqrt (/ 1 x)) y)
(* -1 (* y (+ (* -1 (sqrt (/ 1 x))) (* (sqrt (/ 1 x)) (/ 1 y)))))
(* -1 (* y (+ (* -1 (sqrt (/ 1 x))) (* (sqrt (/ 1 x)) (/ 1 y)))))
(* -1 (* y (+ (* -1 (sqrt (/ 1 x))) (* (sqrt (/ 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 y))))))
(* -1 (* y (+ (* -3 (sqrt x)) (* 3 (* (sqrt x) (/ 1 y))))))
(* -1 (* y (+ (* -3 (sqrt x)) (* 3 (* (sqrt x) (/ 1 y))))))
(* 3 (* (sqrt x) y))
(* 3 (* (sqrt x) y))
(* 3 (* (sqrt x) y))
(* 3 (* (sqrt x) y))
(* 1/3 (sqrt (/ 1 x)))
(/ (+ (* 1/3 (sqrt x)) (* x (+ (* -3 (sqrt x)) (* 3 (* (sqrt x) y))))) x)
(/ (+ (* 1/3 (sqrt x)) (* x (+ (* -3 (sqrt x)) (* 3 (* (sqrt x) y))))) x)
(/ (+ (* 1/3 (sqrt x)) (* x (+ (* -3 (sqrt x)) (* 3 (* (sqrt x) 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)
(sqrt (/ 1 x))
(sqrt (/ 1 x))
(sqrt (/ 1 x))
(sqrt (/ 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)
(* 3 (* (sqrt x) y))
(* 3 (* (sqrt x) y))
(* 3 (* (sqrt x) y))
(* 3 (* (sqrt x) y))
(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)
(* 3 (* (sqrt x) (- y 1)))
(* 3 (* (sqrt x) (- y 1)))
(* 3 (* (sqrt x) (- y 1)))
(* 3 (* (sqrt x) (- y 1)))
(* 1/3 (sqrt (/ 1 x)))
(/ (+ (* 1/3 (sqrt x)) (* x (+ (* -3 (sqrt x)) (* 3 (* (sqrt x) y))))) x)
(/ (+ (* 1/3 (sqrt x)) (* x (+ (* -3 (sqrt x)) (* 3 (* (sqrt x) y))))) x)
(/ (+ (* 1/3 (sqrt x)) (* x (+ (* -3 (sqrt x)) (* 3 (* (sqrt x) y))))) x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* (sqrt (/ 1 x)) (- y 1))
(* (sqrt (/ 1 x)) (- y 1))
(* (sqrt (/ 1 x)) (- y 1))
(* (sqrt (/ 1 x)) (- y 1))
(* 1/3 (sqrt (/ 1 x)))
(/ (+ (* 1/3 (sqrt x)) (* x (+ (* -3 (sqrt x)) (* 3 (* (sqrt x) y))))) x)
(/ (+ (* 1/3 (sqrt x)) (* x (+ (* -3 (sqrt x)) (* 3 (* (sqrt x) y))))) x)
(/ (+ (* 1/3 (sqrt x)) (* x (+ (* -3 (sqrt x)) (* 3 (* (sqrt x) y))))) x)
(* 1/9 (sqrt (/ 1 x)))
(/ (+ (* -1 (sqrt (pow x 3))) (* 1/9 (sqrt x))) x)
(/ (+ (* -1 (sqrt (pow x 3))) (* 1/9 (sqrt x))) x)
(/ (+ (* -1 (sqrt (pow x 3))) (* 1/9 (sqrt x))) x)
(/ 1/9 x)
(/ (+ 1/9 (* -1 x)) x)
(/ (+ 1/9 (* -1 x)) x)
(/ (+ 1/9 (* -1 x)) x)
(/ 1/9 x)
(/ 1/9 x)
(/ 1/9 x)
(/ 1/9 x)
(* 3 (* (sqrt x) (- y 1)))
(* 3 (* (sqrt x) (- y 1)))
(* 3 (* (sqrt x) (- y 1)))
(* 3 (* (sqrt x) (- y 1)))
(* 3 (sqrt x))
(* 3 (sqrt x))
(* 3 (sqrt x))
(* 3 (sqrt x))
(* 3 (* (sqrt x) y))
(* 3 (* (sqrt x) y))
(* 3 (* (sqrt x) y))
(* 3 (* (sqrt x) y))
(* x (+ (* -3 (sqrt (/ 1 x))) (* 3 (* (sqrt (/ 1 x)) y))))
(* x (+ (* -3 (sqrt (/ 1 x))) (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) y)))))
(* x (+ (* -3 (sqrt (/ 1 x))) (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) y)))))
(* x (+ (* -3 (sqrt (/ 1 x))) (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 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)))))
(sqrt (/ 1 x))
(sqrt (/ 1 x))
(sqrt (/ 1 x))
(sqrt (/ 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) y))
(* 3 (* (sqrt x) y))
(* 3 (* (sqrt x) y))
(* 3 (* (sqrt x) y))
(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)))
(* 3 (* (sqrt x) (- y 1)))
(* 3 (* (sqrt x) (- y 1)))
(* 3 (* (sqrt x) (- y 1)))
(* x (+ (* -3 (sqrt (/ 1 x))) (* 3 (* (sqrt (/ 1 x)) y))))
(* x (+ (* -3 (sqrt (/ 1 x))) (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) y)))))
(* x (+ (* -3 (sqrt (/ 1 x))) (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) y)))))
(* x (+ (* -3 (sqrt (/ 1 x))) (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) y)))))
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* (sqrt (/ 1 x)) (- y 1))
(* (sqrt (/ 1 x)) (- y 1))
(* (sqrt (/ 1 x)) (- y 1))
(* (sqrt (/ 1 x)) (- y 1))
(* x (+ (* -3 (sqrt (/ 1 x))) (* 3 (* (sqrt (/ 1 x)) y))))
(* x (+ (* -3 (sqrt (/ 1 x))) (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) y)))))
(* x (+ (* -3 (sqrt (/ 1 x))) (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) y)))))
(* x (+ (* -3 (sqrt (/ 1 x))) (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) y)))))
(* -1 (sqrt x))
(* x (+ (* -1 (sqrt (/ 1 x))) (* 1/9 (sqrt (/ 1 (pow x 3))))))
(* x (+ (* -1 (sqrt (/ 1 x))) (* 1/9 (sqrt (/ 1 (pow x 3))))))
(* x (+ (* -1 (sqrt (/ 1 x))) (* 1/9 (sqrt (/ 1 (pow x 3))))))
-1
(- (* 1/9 (/ 1 x)) 1)
(- (* 1/9 (/ 1 x)) 1)
(- (* 1/9 (/ 1 x)) 1)
(/ 1/9 x)
(/ 1/9 x)
(/ 1/9 x)
(/ 1/9 x)
(* 3 (* (sqrt x) (- y 1)))
(* 3 (* (sqrt x) (- y 1)))
(* 3 (* (sqrt x) (- y 1)))
(* 3 (* (sqrt x) (- y 1)))
(* 3 (sqrt x))
(* 3 (sqrt x))
(* 3 (sqrt x))
(* 3 (sqrt x))
(* 3 (* (sqrt x) y))
(* 3 (* (sqrt x) y))
(* 3 (* (sqrt x) y))
(* 3 (* (sqrt x) y))
(* -1 (* x (+ (* -3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* y (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 (/ 1 x)) (* y (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 (/ 1 x)) (* y (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 (/ 1 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)))))))
(* (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))
(* -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) (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))))
(* 3 (* (sqrt x) (* (pow (sqrt -1) 2) (- y 1))))
(* 3 (* (sqrt x) (* (pow (sqrt -1) 2) (- y 1))))
(* 3 (* (sqrt x) (* (pow (sqrt -1) 2) (- y 1))))
(* -1 (* x (+ (* -3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* y (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 (/ 1 x)) (* y (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 (/ 1 x)) (* y (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 (/ 1 x)) (* y (pow (sqrt -1) 2))))))))
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1)))
(* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1)))
(* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1)))
(* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1)))
(* -1 (* x (+ (* -3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* y (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 (/ 1 x)) (* y (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 (/ 1 x)) (* y (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 (/ 1 x)) (* y (pow (sqrt -1) 2))))))))
(* (sqrt x) (pow (sqrt -1) 2))
(* -1 (* x (+ (* -1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/9 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))))))
(* -1 (* x (+ (* -1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/9 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))))))
(* -1 (* x (+ (* -1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/9 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))))))
-1
(- (* 1/9 (/ 1 x)) 1)
(- (* 1/9 (/ 1 x)) 1)
(- (* 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))))
(* -3 (* (sqrt x) (* (pow (sqrt -1) 2) (- y 1))))
(* -3 (* (sqrt x) (* (pow (sqrt -1) 2) (- y 1))))
(* -3 (* (sqrt 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)))
(* -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))))
Outputs
-3
#s(literal -3 binary64)
(- (* 3 y) 3)
(fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64))
(- (* 3 y) 3)
(fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64))
(- (* 3 y) 3)
(fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64))
(+ (* -3 (sqrt x)) (* 1/3 (sqrt (/ 1 x))))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64) (*.f64 (sqrt.f64 x) #s(literal -3 binary64)))
(+ (* -3 (sqrt x)) (+ (* 1/3 (sqrt (/ 1 x))) (* 3 (* (sqrt x) y))))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64) (*.f64 (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 x)))
(+ (* -3 (sqrt x)) (+ (* 1/3 (sqrt (/ 1 x))) (* 3 (* (sqrt x) y))))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64) (*.f64 (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 x)))
(+ (* -3 (sqrt x)) (+ (* 1/3 (sqrt (/ 1 x))) (* 3 (* (sqrt x) y))))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64) (*.f64 (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 x)))
(+ (* -3 (sqrt x)) (* 1/3 (sqrt (/ 1 x))))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64) (*.f64 (sqrt.f64 x) #s(literal -3 binary64)))
(+ (* -3 (sqrt x)) (+ (* 1/3 (sqrt (/ 1 x))) (* 3 (* (sqrt x) y))))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64) (*.f64 (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 x)))
(+ (* -3 (sqrt x)) (+ (* 1/3 (sqrt (/ 1 x))) (* 3 (* (sqrt x) y))))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64) (*.f64 (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 x)))
(+ (* -3 (sqrt x)) (+ (* 1/3 (sqrt (/ 1 x))) (* 3 (* (sqrt x) y))))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64) (*.f64 (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 x)))
(* 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)))
(* 3 (* (sqrt x) y))
(*.f64 (*.f64 (sqrt.f64 x) y) #s(literal 3 binary64))
(* 3 (* (sqrt x) y))
(*.f64 (*.f64 (sqrt.f64 x) y) #s(literal 3 binary64))
(* 3 (* (sqrt x) y))
(*.f64 (*.f64 (sqrt.f64 x) y) #s(literal 3 binary64))
(* 3 (* (sqrt x) y))
(*.f64 (*.f64 (sqrt.f64 x) y) #s(literal 3 binary64))
(* 3 y)
(*.f64 y #s(literal 3 binary64))
(* 3 y)
(*.f64 y #s(literal 3 binary64))
(* 3 y)
(*.f64 y #s(literal 3 binary64))
(* 3 y)
(*.f64 y #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 (-.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 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal 1 binary64))
(- (+ y (* 1/9 (/ 1 x))) 1)
(-.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal 1 binary64))
(- (+ y (* 1/9 (/ 1 x))) 1)
(-.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal 1 binary64))
(* -3 (sqrt x))
(*.f64 (sqrt.f64 x) #s(literal -3 binary64))
(+ (* -3 (sqrt x)) (* 3 (* (sqrt x) y)))
(*.f64 (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 x))
(+ (* -3 (sqrt x)) (* 3 (* (sqrt x) y)))
(*.f64 (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 x))
(+ (* -3 (sqrt x)) (* 3 (* (sqrt x) y)))
(*.f64 (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 x))
(+ (* -3 (sqrt x)) (* 1/3 (sqrt (/ 1 x))))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64) (*.f64 (sqrt.f64 x) #s(literal -3 binary64)))
(+ (* -3 (sqrt x)) (+ (* 1/3 (sqrt (/ 1 x))) (* 3 (* (sqrt x) y))))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64) (*.f64 (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 x)))
(+ (* -3 (sqrt x)) (+ (* 1/3 (sqrt (/ 1 x))) (* 3 (* (sqrt x) y))))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64) (*.f64 (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 x)))
(+ (* -3 (sqrt x)) (+ (* 1/3 (sqrt (/ 1 x))) (* 3 (* (sqrt x) y))))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64) (*.f64 (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 x)))
(* -1 (sqrt (/ 1 x)))
(neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(+ (* -1 (sqrt (/ 1 x))) (* (sqrt (/ 1 x)) y))
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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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(- y 1)
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(*.f64 (fma.f64 y #s(literal -3 binary64) #s(literal 3 binary64)) (sqrt.f64 x))
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(*.f64 (fma.f64 y #s(literal -3 binary64) #s(literal 3 binary64)) (sqrt.f64 x))
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(*.f64 (*.f64 (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) x)
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-1
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(*.f64 (*.f64 (sqrt.f64 x) y) #s(literal 3 binary64))
(* -3 (* (sqrt x) (* y (pow (sqrt -1) 2))))
(*.f64 (*.f64 (sqrt.f64 x) y) #s(literal 3 binary64))
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(*.f64 (*.f64 (sqrt.f64 x) y) #s(literal 3 binary64))

rewrite148.0ms (1.6%)

Memory
-7.6MiB live, 234.4MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
045221
069221
1229202
21766202
08099192
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
22 → 320
Calls
Call 1
Inputs
(*.f64 #s(literal 3 binary64) (-.f64 y #s(literal 1 binary64)))
#s(approx (+ (* (* (+ y (/ 1/9 x)) (sqrt x)) 3) (* -3 (sqrt x))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64) (*.f64 (*.f64 #s(literal 3 binary64) (-.f64 y #s(literal 1 binary64))) (sqrt.f64 x))))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64) (*.f64 (*.f64 #s(literal 3 binary64) (-.f64 y #s(literal 1 binary64))) (sqrt.f64 x)))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 y #s(literal 3 binary64)) (sqrt.f64 x)))
(*.f64 (*.f64 y #s(literal 3 binary64)) (sqrt.f64 x))
(*.f64 y #s(literal 3 binary64))
(sqrt.f64 x)
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) #s(approx (- (+ y (/ 1 (* x 9))) 1) (/.f64 #s(literal 1/9 binary64) x)))
(*.f64 #s(literal 3 binary64) (sqrt.f64 x))
#s(approx (- (+ y (/ 1 (* x 9))) 1) (/.f64 #s(literal 1/9 binary64) x))
(*.f64 (*.f64 x #s(literal 3 binary64)) (*.f64 (-.f64 y #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
#s(approx (+ (* (* (+ y (/ 1/9 x)) (sqrt x)) 3) (* -3 (sqrt x))) (*.f64 (*.f64 x #s(literal 3 binary64)) (*.f64 (-.f64 y #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))
(*.f64 x #s(literal 3 binary64))
(*.f64 (-.f64 y #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) 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))))
(*.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) (sqrt.f64 x))
(-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64))
(/.f64 #s(literal 1/9 binary64) x)
(*.f64 (*.f64 #s(literal 3 binary64) (-.f64 y #s(literal 1 binary64))) (sqrt.f64 x))
(*.f64 (sqrt.f64 x) #s(literal 3 binary64))
(*.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64)))
Outputs
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eval129.0ms (1.4%)

Memory
25.2MiB live, 261.2MiB allocated
Compiler

Compiled 14 882 to 1 507 computations (89.9% saved)

prune53.0ms (0.6%)

Memory
-32.7MiB live, 125.6MiB allocated
Pruning

29 alts after pruning (25 fresh and 4 done)

PrunedKeptTotal
New88915904
Fresh111021
Picked325
Done022
Total90329932
Accuracy
100.0%
Counts
932 → 29
Alt Table
Click to see full alt table
StatusAccuracyProgram
93.2%
(fma.f64 (*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y)) (/.f64 (*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y)) (*.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal 3 binary64) #s(literal 3 binary64)) (sqrt.f64 x))) (neg.f64 (/.f64 (/.f64 (*.f64 #s(literal 9 binary64) x) (sqrt.f64 x)) (fma.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal 3 binary64) #s(literal 3 binary64)))))
99.5%
(fma.f64 (sqrt.f64 x) #s(literal -3 binary64) (*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y)))
57.2%
(fma.f64 #s(approx (* (- (/ 1/9 x) 1) (sqrt x)) (neg.f64 (sqrt.f64 x))) #s(literal 3 binary64) (*.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64))))
▶99.4%
(*.f64 (fma.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 x))
99.5%
(*.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal 1 binary64)) (*.f64 (sqrt.f64 x) #s(literal 3 binary64)))
99.4%
(*.f64 (*.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal 1 binary64)) (sqrt.f64 x)) #s(literal 3 binary64))
42.2%
(*.f64 (*.f64 #s(approx (- (+ y (/ 1 (* x 9))) 1) (/.f64 #s(literal 1/9 binary64) x)) (sqrt.f64 x)) #s(literal 3 binary64))
66.5%
(*.f64 (*.f64 #s(approx (- (+ y (/ 1 (* x 9))) 1) (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64))) (sqrt.f64 x)) #s(literal 3 binary64))
66.2%
(*.f64 (*.f64 #s(literal 3 binary64) (*.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 (sqrt.f64 x)))) #s(approx (- (+ y (/ 1 (* x 9))) 1) (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64))))
84.9%
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) #s(approx (- (+ y (/ 1 (* x 9))) 1) (fma.f64 (+.f64 (/.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal 1 binary64)) y #s(literal -1 binary64))))
42.1%
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) #s(approx (- (+ y (/ 1 (* x 9))) 1) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 9 binary64) x))))
✓42.2%
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) #s(approx (- (+ y (/ 1 (* x 9))) 1) (/.f64 #s(literal 1/9 binary64) x)))
▶66.5%
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) #s(approx (- (+ y (/ 1 (* x 9))) 1) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 9 binary64) x)) #s(literal 1 binary64))))
42.3%
#s(approx (/ (- (* (* (* (+ y (/ 1/9 x)) 3) (sqrt x)) (* (* (+ y (/ 1/9 x)) 3) (sqrt x))) (* (* -3 (sqrt x)) (* -3 (sqrt x)))) (- (* (* (+ y (/ 1/9 x)) 3) (sqrt x)) (* -3 (sqrt x)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64)))
▶66.6%
#s(approx (+ (* (* (- (/ 1/9 x) 1) (sqrt x)) 3) (* y (* (sqrt x) 3))) (*.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64)) (sqrt.f64 x)))
53.7%
#s(approx (+ (* (* (- (/ 1/9 x) 1) (sqrt x)) 3) (* y (* (sqrt x) 3))) (*.f64 (*.f64 (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) x))
▶99.5%
#s(approx (+ (* (* (+ y (/ 1/9 x)) (sqrt x)) 3) (* -3 (sqrt x))) (fma.f64 (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 x) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x))))
52.5%
#s(approx (+ (* (* (+ y (/ 1/9 x)) (sqrt x)) 3) (* -3 (sqrt x))) (/.f64 (*.f64 x (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64))) (sqrt.f64 x)))
53.7%
#s(approx (+ (* (* (+ y (/ 1/9 x)) (sqrt x)) 3) (* -3 (sqrt x))) (*.f64 (/.f64 (-.f64 y #s(literal 1 binary64)) (sqrt.f64 x)) (*.f64 x #s(literal 3 binary64))))
24.5%
#s(approx (+ (* (* (+ y (/ 1/9 x)) (sqrt x)) 3) (* -3 (sqrt x))) (*.f64 (*.f64 x #s(literal 3 binary64)) #s(approx (* (- y 1) (sqrt (/ 1 x))) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))))
57.1%
#s(approx (+ (* (* (+ y (/ 1/9 x)) (sqrt x)) 3) (* -3 (sqrt x))) #s(approx (+ (* (sqrt (/ 1 x)) 1/3) (* (* 3 (- y 1)) (sqrt x))) (*.f64 (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 x))))
2.5%
#s(approx (+ (* (* (+ y (/ 1/9 x)) (sqrt x)) 3) (* -3 (sqrt x))) #s(approx (* (* x 3) (* (- y 1) (sqrt (/ 1 x)))) (*.f64 (fma.f64 y #s(literal -3 binary64) #s(literal 3 binary64)) (sqrt.f64 x))))
▶24.5%
#s(approx (+ (* (* (+ y (/ 1/9 x)) (sqrt x)) 3) (* -3 (sqrt x))) #s(approx (* (* x 3) (* (- y 1) (sqrt (/ 1 x)))) (*.f64 (sqrt.f64 x) #s(literal -3 binary64))))
34.8%
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) y))
✓34.8%
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64)))
✓34.8%
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 y #s(literal 3 binary64)) (sqrt.f64 x)))
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 binary64) (*.f64 x #s(literal 3 binary64))))))
✓99.5%
#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))))
42.3%
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 x) #s(approx (+ (* (- 1 y) -3) (/ 1/3 x)) (/.f64 #s(literal 1/3 binary64) x))))
Compiler

Compiled 657 to 554 computations (15.7% saved)

simplify427.0ms (4.7%)

Memory
28.2MiB live, 145.5MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 20 expressions of interest:

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

Useful iterations: 2 (0.0ms)

IterNodesCost
053256
077244
1130231
2229228
3491228
4811228
51034228
61399228
72395228
83953228
95420228
105674228
115843228
125862228
135866228
145890228
155960228
166180228
176653228
186765228
196831228
207001228
217135228
227137228
237137228
247735228
257992228
267996228
277996228
287996228
07996228
Stop Event
1×iter limit
1×saturated
1×iter limit
Calls
Call 1
Inputs
#s(approx (+ (* (* (+ y (/ 1/9 x)) (sqrt x)) 3) (* -3 (sqrt x))) (fma.f64 (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 x) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x))))
(fma.f64 (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 x) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)))
(fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64))
y
#s(literal 3 binary64)
#s(literal -3 binary64)
(sqrt.f64 x)
x
(/.f64 #s(literal 1/3 binary64) (sqrt.f64 x))
#s(literal 1/3 binary64)
#s(approx (+ (* (* (+ y (/ 1/9 x)) (sqrt x)) 3) (* -3 (sqrt x))) #s(approx (* (* x 3) (* (- y 1) (sqrt (/ 1 x)))) (*.f64 (sqrt.f64 x) #s(literal -3 binary64))))
#s(approx (* (* x 3) (* (- y 1) (sqrt (/ 1 x)))) (*.f64 (sqrt.f64 x) #s(literal -3 binary64)))
(*.f64 (sqrt.f64 x) #s(literal -3 binary64))
(sqrt.f64 x)
x
#s(literal -3 binary64)
#s(approx (+ (* (* (- (/ 1/9 x) 1) (sqrt x)) 3) (* y (* (sqrt x) 3))) (*.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 (fma.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 x))
(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)
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 binary64) (*.f64 #s(literal 9 binary64) x)) #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 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 9 binary64) x)) #s(literal 1 binary64)))
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 9 binary64) x)) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (*.f64 #s(literal 9 binary64) x))
#s(literal 1 binary64)
(*.f64 #s(literal 9 binary64) x)
#s(literal 9 binary64)
Outputs
#s(approx (+ (* (* (+ y (/ 1/9 x)) (sqrt x)) 3) (* -3 (sqrt x))) (fma.f64 (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 x) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x))))
#s(approx (+ (* (* (+ y (/ 1/9 x)) (sqrt x)) 3) (* -3 (sqrt x))) (fma.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x))))
(fma.f64 (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 x) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)))
(fma.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)))
(fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64))
(fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))
y
#s(literal 3 binary64)
#s(literal -3 binary64)
(sqrt.f64 x)
x
(/.f64 #s(literal 1/3 binary64) (sqrt.f64 x))
#s(literal 1/3 binary64)
#s(approx (+ (* (* (+ y (/ 1/9 x)) (sqrt x)) 3) (* -3 (sqrt x))) #s(approx (* (* x 3) (* (- y 1) (sqrt (/ 1 x)))) (*.f64 (sqrt.f64 x) #s(literal -3 binary64))))
#s(approx (* (* x 3) (* (- y 1) (sqrt (/ 1 x)))) (*.f64 (sqrt.f64 x) #s(literal -3 binary64)))
(*.f64 (sqrt.f64 x) #s(literal -3 binary64))
(sqrt.f64 x)
x
#s(literal -3 binary64)
#s(approx (+ (* (* (- (/ 1/9 x) 1) (sqrt x)) 3) (* y (* (sqrt x) 3))) (*.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64)) (sqrt.f64 x)))
#s(approx (+ (* (* (+ y (/ 1/9 x)) (sqrt x)) 3) (* -3 (sqrt 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 (/.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 (fma.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 x))
(*.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 x))
(fma.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 3 binary64) #s(literal -3 binary64))
(fma.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal 3 binary64) #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)
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 binary64) (*.f64 #s(literal 9 binary64) x)) #s(literal 1 binary64))))
(*.f64 #s(approx (- (+ y (/ 1 (* x 9))) 1) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/9 binary64) x))) (*.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 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 9 binary64) x)) #s(literal 1 binary64)))
#s(approx (- (+ y (/ 1 (* x 9))) 1) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/9 binary64) x)))
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 9 binary64) x)) #s(literal 1 binary64))
(-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/9 binary64) x))
(/.f64 #s(literal 1 binary64) (*.f64 #s(literal 9 binary64) x))
(/.f64 #s(literal 1/9 binary64) x)
#s(literal 1 binary64)
(*.f64 #s(literal 9 binary64) x)
#s(literal 9 binary64)

localize136.0ms (1.5%)

Memory
12.3MiB live, 247.3MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.23046875
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) #s(approx (- (+ y (/ 1 (* x 9))) 1) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 9 binary64) x)) #s(literal 1 binary64))))
accuracy0.2578125
(*.f64 #s(literal 3 binary64) (sqrt.f64 x))
accuracy0.26953125
(/.f64 #s(literal 1 binary64) (*.f64 #s(literal 9 binary64) x))
accuracy21.13552414343841
#s(approx (- (+ y (/ 1 (* x 9))) 1) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 9 binary64) x)) #s(literal 1 binary64)))
accuracy0.00390625
(+.f64 y (/.f64 #s(literal 1/9 binary64) x))
accuracy0.158535009768442
(fma.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 3 binary64) #s(literal -3 binary64))
accuracy0.31640625
(*.f64 (fma.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 x))
accuracy0.359375
(/.f64 #s(literal 1/9 binary64) x)
accuracy0.010097509768442016
(+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64))
accuracy0.30859375
(*.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64)) (sqrt.f64 x))
accuracy0.34375
(/.f64 #s(literal 1/3 binary64) x)
accuracy21.138999882811454
#s(approx (+ (* (* (- (/ 1/9 x) 1) (sqrt x)) 3) (* y (* (sqrt x) 3))) (*.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64)) (sqrt.f64 x)))
accuracy0
(sqrt.f64 x)
accuracy0.2578125
(*.f64 (sqrt.f64 x) #s(literal -3 binary64))
accuracy27.312699532430916
#s(approx (+ (* (* (+ y (/ 1/9 x)) (sqrt x)) 3) (* -3 (sqrt x))) #s(approx (* (* x 3) (* (- y 1) (sqrt (/ 1 x)))) (*.f64 (sqrt.f64 x) #s(literal -3 binary64))))
accuracy30.27285997476319
#s(approx (* (* x 3) (* (- y 1) (sqrt (/ 1 x)))) (*.f64 (sqrt.f64 x) #s(literal -3 binary64)))
accuracy0
(sqrt.f64 x)
accuracy0
#s(approx (+ (* (* (+ y (/ 1/9 x)) (sqrt x)) 3) (* -3 (sqrt x))) (fma.f64 (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 x) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x))))
accuracy0.18284123016428752
(fma.f64 (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 x) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)))
accuracy0.3671875
(/.f64 #s(literal 1/3 binary64) (sqrt.f64 x))
Samples
74.0ms223×0valid
24.0ms20×1valid
10.0ms13×2valid
Compiler

Compiled 203 to 50 computations (75.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 86.0ms
ival-mult: 31.0ms (35.9% of total)
adjust: 13.0ms (15.1% of total)
ival-div: 11.0ms (12.7% of total)
ival-add: 11.0ms (12.7% of total)
const: 10.0ms (11.6% of total)
ival-sub: 5.0ms (5.8% of total)
ival-sqrt: 4.0ms (4.6% of total)
exact: 1.0ms (1.2% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series42.0ms (0.5%)

Memory
-13.0MiB live, 71.7MiB allocated
Counts
20 → 360
Calls
Call 1
Inputs
#s(alt #s(approx (+ (* (* (+ y (/ 1/9 x)) (sqrt x)) 3) (* -3 (sqrt x))) (fma.f64 (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 x) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)))) (patch #s(approx (+ (* (* (+ y (/ 1/9 x)) (sqrt x)) 3) (* -3 (sqrt x))) (fma.f64 (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 x) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)))) #<representation binary64>) () ())
#s(alt (fma.f64 (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 x) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) (patch (fma.f64 (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 x) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) #<representation binary64>) () ())
#s(alt (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)) (patch (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)) #<representation binary64>) () ())
#s(alt (sqrt.f64 x) (patch (sqrt.f64 x) #<representation binary64>) () ())
#s(alt #s(approx (+ (* (* (+ y (/ 1/9 x)) (sqrt x)) 3) (* -3 (sqrt x))) #s(approx (* (* x 3) (* (- y 1) (sqrt (/ 1 x)))) (*.f64 (sqrt.f64 x) #s(literal -3 binary64)))) (patch #s(approx (+ (* (* (+ y (/ 1/9 x)) (sqrt x)) 3) (* -3 (sqrt x))) #s(approx (* (* x 3) (* (- y 1) (sqrt (/ 1 x)))) (*.f64 (sqrt.f64 x) #s(literal -3 binary64)))) #<representation binary64>) () ())
#s(alt #s(approx (* (* x 3) (* (- y 1) (sqrt (/ 1 x)))) (*.f64 (sqrt.f64 x) #s(literal -3 binary64))) (patch #s(approx (* (* x 3) (* (- y 1) (sqrt (/ 1 x)))) (*.f64 (sqrt.f64 x) #s(literal -3 binary64))) #<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 #s(approx (+ (* (* (- (/ 1/9 x) 1) (sqrt x)) 3) (* y (* (sqrt x) 3))) (*.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64)) (sqrt.f64 x))) (patch #s(approx (+ (* (* (- (/ 1/9 x) 1) (sqrt x)) 3) (* y (* (sqrt x) 3))) (*.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 (fma.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 x)) (patch (*.f64 (fma.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 x)) #<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 (+.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 1/9 binary64) x) (patch (/.f64 #s(literal 1/9 binary64) x) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 9 binary64) x)) (patch (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 9 binary64) x)) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) #s(approx (- (+ y (/ 1 (* x 9))) 1) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 9 binary64) x)) #s(literal 1 binary64)))) (patch (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) #s(approx (- (+ y (/ 1 (* x 9))) 1) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 9 binary64) x)) #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 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (patch (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) #<representation binary64>) () ())
#s(alt #s(approx (- (+ y (/ 1 (* x 9))) 1) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 9 binary64) x)) #s(literal 1 binary64))) (patch #s(approx (- (+ y (/ 1 (* x 9))) 1) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 9 binary64) x)) #s(literal 1 binary64))) #<representation binary64>) () ())
Outputs
#s(alt (+ (* -3 (sqrt x)) (* 1/3 (sqrt (/ 1 x)))) (taylor 0 y) (#s(alt #s(approx (+ (* (* (+ y (/ 1/9 x)) (sqrt x)) 3) (* -3 (sqrt x))) (fma.f64 (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 x) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)))) (patch #s(approx (+ (* (* (+ y (/ 1/9 x)) (sqrt x)) 3) (* -3 (sqrt x))) (fma.f64 (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 x) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)))) #<representation binary64>) () ())) ())
#s(alt (+ (* -3 (sqrt x)) (+ (* 1/3 (sqrt (/ 1 x))) (* 3 (* (sqrt x) y)))) (taylor 0 y) (#s(alt #s(approx (+ (* (* (+ y (/ 1/9 x)) (sqrt x)) 3) (* -3 (sqrt x))) (fma.f64 (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 x) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)))) (patch #s(approx (+ (* (* (+ y (/ 1/9 x)) (sqrt x)) 3) (* -3 (sqrt x))) (fma.f64 (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 x) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)))) #<representation binary64>) () ())) ())
#s(alt (+ (* -3 (sqrt x)) (+ (* 1/3 (sqrt (/ 1 x))) (* 3 (* (sqrt x) y)))) (taylor 0 y) (#s(alt #s(approx (+ (* (* (+ y (/ 1/9 x)) (sqrt x)) 3) (* -3 (sqrt x))) (fma.f64 (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 x) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)))) (patch #s(approx (+ (* (* (+ y (/ 1/9 x)) (sqrt x)) 3) (* -3 (sqrt x))) (fma.f64 (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 x) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)))) #<representation binary64>) () ())) ())
#s(alt (+ (* -3 (sqrt x)) (+ (* 1/3 (sqrt (/ 1 x))) (* 3 (* (sqrt x) y)))) (taylor 0 y) (#s(alt #s(approx (+ (* (* (+ y (/ 1/9 x)) (sqrt x)) 3) (* -3 (sqrt x))) (fma.f64 (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 x) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)))) (patch #s(approx (+ (* (* (+ y (/ 1/9 x)) (sqrt x)) 3) (* -3 (sqrt x))) (fma.f64 (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 x) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)))) #<representation binary64>) () ())) ())
#s(alt (+ (* -3 (sqrt x)) (* 1/3 (sqrt (/ 1 x)))) (taylor 0 y) (#s(alt (fma.f64 (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 x) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) (patch (fma.f64 (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 x) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) #<representation binary64>) () ())) ())
#s(alt (+ (* -3 (sqrt x)) (+ (* 1/3 (sqrt (/ 1 x))) (* 3 (* (sqrt x) y)))) (taylor 0 y) (#s(alt (fma.f64 (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 x) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) (patch (fma.f64 (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 x) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) #<representation binary64>) () ())) ())
#s(alt (+ (* -3 (sqrt x)) (+ (* 1/3 (sqrt (/ 1 x))) (* 3 (* (sqrt x) y)))) (taylor 0 y) (#s(alt (fma.f64 (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 x) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) (patch (fma.f64 (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 x) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) #<representation binary64>) () ())) ())
#s(alt (+ (* -3 (sqrt x)) (+ (* 1/3 (sqrt (/ 1 x))) (* 3 (* (sqrt x) y)))) (taylor 0 y) (#s(alt (fma.f64 (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 x) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) (patch (fma.f64 (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 x) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) #<representation binary64>) () ())) ())
#s(alt -3 (taylor 0 y) (#s(alt (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)) (patch (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (* 3 y) 3) (taylor 0 y) (#s(alt (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)) (patch (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (* 3 y) 3) (taylor 0 y) (#s(alt (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)) (patch (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (* 3 y) 3) (taylor 0 y) (#s(alt (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)) (patch (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ (* -3 (sqrt x)) (* 1/3 (sqrt (/ 1 x)))) (taylor 0 y) (#s(alt #s(approx (+ (* (* (+ y (/ 1/9 x)) (sqrt x)) 3) (* -3 (sqrt x))) #s(approx (* (* x 3) (* (- y 1) (sqrt (/ 1 x)))) (*.f64 (sqrt.f64 x) #s(literal -3 binary64)))) (patch #s(approx (+ (* (* (+ y (/ 1/9 x)) (sqrt x)) 3) (* -3 (sqrt x))) #s(approx (* (* x 3) (* (- y 1) (sqrt (/ 1 x)))) (*.f64 (sqrt.f64 x) #s(literal -3 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ (* -3 (sqrt x)) (+ (* 1/3 (sqrt (/ 1 x))) (* 3 (* (sqrt x) y)))) (taylor 0 y) (#s(alt #s(approx (+ (* (* (+ y (/ 1/9 x)) (sqrt x)) 3) (* -3 (sqrt x))) #s(approx (* (* x 3) (* (- y 1) (sqrt (/ 1 x)))) (*.f64 (sqrt.f64 x) #s(literal -3 binary64)))) (patch #s(approx (+ (* (* (+ y (/ 1/9 x)) (sqrt x)) 3) (* -3 (sqrt x))) #s(approx (* (* x 3) (* (- y 1) (sqrt (/ 1 x)))) (*.f64 (sqrt.f64 x) #s(literal -3 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ (* -3 (sqrt x)) (+ (* 1/3 (sqrt (/ 1 x))) (* 3 (* (sqrt x) y)))) (taylor 0 y) (#s(alt #s(approx (+ (* (* (+ y (/ 1/9 x)) (sqrt x)) 3) (* -3 (sqrt x))) #s(approx (* (* x 3) (* (- y 1) (sqrt (/ 1 x)))) (*.f64 (sqrt.f64 x) #s(literal -3 binary64)))) (patch #s(approx (+ (* (* (+ y (/ 1/9 x)) (sqrt x)) 3) (* -3 (sqrt x))) #s(approx (* (* x 3) (* (- y 1) (sqrt (/ 1 x)))) (*.f64 (sqrt.f64 x) #s(literal -3 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ (* -3 (sqrt x)) (+ (* 1/3 (sqrt (/ 1 x))) (* 3 (* (sqrt x) y)))) (taylor 0 y) (#s(alt #s(approx (+ (* (* (+ y (/ 1/9 x)) (sqrt x)) 3) (* -3 (sqrt x))) #s(approx (* (* x 3) (* (- y 1) (sqrt (/ 1 x)))) (*.f64 (sqrt.f64 x) #s(literal -3 binary64)))) (patch #s(approx (+ (* (* (+ y (/ 1/9 x)) (sqrt x)) 3) (* -3 (sqrt x))) #s(approx (* (* x 3) (* (- y 1) (sqrt (/ 1 x)))) (*.f64 (sqrt.f64 x) #s(literal -3 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -3 (sqrt x)) (taylor 0 y) (#s(alt #s(approx (* (* x 3) (* (- y 1) (sqrt (/ 1 x)))) (*.f64 (sqrt.f64 x) #s(literal -3 binary64))) (patch #s(approx (* (* x 3) (* (- y 1) (sqrt (/ 1 x)))) (*.f64 (sqrt.f64 x) #s(literal -3 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* -3 (sqrt x)) (* 3 (* (sqrt x) y))) (taylor 0 y) (#s(alt #s(approx (* (* x 3) (* (- y 1) (sqrt (/ 1 x)))) (*.f64 (sqrt.f64 x) #s(literal -3 binary64))) (patch #s(approx (* (* x 3) (* (- y 1) (sqrt (/ 1 x)))) (*.f64 (sqrt.f64 x) #s(literal -3 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* -3 (sqrt x)) (* 3 (* (sqrt x) y))) (taylor 0 y) (#s(alt #s(approx (* (* x 3) (* (- y 1) (sqrt (/ 1 x)))) (*.f64 (sqrt.f64 x) #s(literal -3 binary64))) (patch #s(approx (* (* x 3) (* (- y 1) (sqrt (/ 1 x)))) (*.f64 (sqrt.f64 x) #s(literal -3 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* -3 (sqrt x)) (* 3 (* (sqrt x) y))) (taylor 0 y) (#s(alt #s(approx (* (* x 3) (* (- y 1) (sqrt (/ 1 x)))) (*.f64 (sqrt.f64 x) #s(literal -3 binary64))) (patch #s(approx (* (* x 3) (* (- y 1) (sqrt (/ 1 x)))) (*.f64 (sqrt.f64 x) #s(literal -3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1))) (taylor 0 y) (#s(alt #s(approx (+ (* (* (- (/ 1/9 x) 1) (sqrt x)) 3) (* y (* (sqrt x) 3))) (*.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64)) (sqrt.f64 x))) (patch #s(approx (+ (* (* (- (/ 1/9 x) 1) (sqrt x)) 3) (* y (* (sqrt x) 3))) (*.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64)) (sqrt.f64 x))) #<representation binary64>) () ())) ())
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Calls

6 calls:

TimeVariablePointExpression
13.0ms
y
@0
((+ (* (* (+ y (/ 1/9 x)) (sqrt x)) 3) (* -3 (sqrt x))) (+ (* (+ (* y 3) -3) (sqrt x)) (/ 1/3 (sqrt x))) (+ (* y 3) -3) (sqrt x) (+ (* (* (+ y (/ 1/9 x)) (sqrt x)) 3) (* -3 (sqrt x))) (* (* x 3) (* (- y 1) (sqrt (/ 1 x)))) (* (sqrt x) -3) (+ (* (* (- (/ 1/9 x) 1) (sqrt x)) 3) (* y (* (sqrt x) 3))) (* (+ (/ 1/3 x) -3) (sqrt x)) (+ (/ 1/3 x) -3) (/ 1/3 x) (* (+ (* (+ y (/ 1/9 x)) 3) -3) (sqrt x)) (+ (* (+ y (/ 1/9 x)) 3) -3) (+ y (/ 1/9 x)) (/ 1/9 x) (/ 1 (* 9 x)) (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (* 3 (sqrt x)) (/ 1/3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1))
5.0ms
x
@-inf
((+ (* (* (+ y (/ 1/9 x)) (sqrt x)) 3) (* -3 (sqrt x))) (+ (* (+ (* y 3) -3) (sqrt x)) (/ 1/3 (sqrt x))) (+ (* y 3) -3) (sqrt x) (+ (* (* (+ y (/ 1/9 x)) (sqrt x)) 3) (* -3 (sqrt x))) (* (* x 3) (* (- y 1) (sqrt (/ 1 x)))) (* (sqrt x) -3) (+ (* (* (- (/ 1/9 x) 1) (sqrt x)) 3) (* y (* (sqrt x) 3))) (* (+ (/ 1/3 x) -3) (sqrt x)) (+ (/ 1/3 x) -3) (/ 1/3 x) (* (+ (* (+ y (/ 1/9 x)) 3) -3) (sqrt x)) (+ (* (+ y (/ 1/9 x)) 3) -3) (+ y (/ 1/9 x)) (/ 1/9 x) (/ 1 (* 9 x)) (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (* 3 (sqrt x)) (/ 1/3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1))
3.0ms
x
@0
((+ (* (* (+ y (/ 1/9 x)) (sqrt x)) 3) (* -3 (sqrt x))) (+ (* (+ (* y 3) -3) (sqrt x)) (/ 1/3 (sqrt x))) (+ (* y 3) -3) (sqrt x) (+ (* (* (+ y (/ 1/9 x)) (sqrt x)) 3) (* -3 (sqrt x))) (* (* x 3) (* (- y 1) (sqrt (/ 1 x)))) (* (sqrt x) -3) (+ (* (* (- (/ 1/9 x) 1) (sqrt x)) 3) (* y (* (sqrt x) 3))) (* (+ (/ 1/3 x) -3) (sqrt x)) (+ (/ 1/3 x) -3) (/ 1/3 x) (* (+ (* (+ y (/ 1/9 x)) 3) -3) (sqrt x)) (+ (* (+ y (/ 1/9 x)) 3) -3) (+ y (/ 1/9 x)) (/ 1/9 x) (/ 1 (* 9 x)) (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (* 3 (sqrt x)) (/ 1/3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1))
3.0ms
x
@inf
((+ (* (* (+ y (/ 1/9 x)) (sqrt x)) 3) (* -3 (sqrt x))) (+ (* (+ (* y 3) -3) (sqrt x)) (/ 1/3 (sqrt x))) (+ (* y 3) -3) (sqrt x) (+ (* (* (+ y (/ 1/9 x)) (sqrt x)) 3) (* -3 (sqrt x))) (* (* x 3) (* (- y 1) (sqrt (/ 1 x)))) (* (sqrt x) -3) (+ (* (* (- (/ 1/9 x) 1) (sqrt x)) 3) (* y (* (sqrt x) 3))) (* (+ (/ 1/3 x) -3) (sqrt x)) (+ (/ 1/3 x) -3) (/ 1/3 x) (* (+ (* (+ y (/ 1/9 x)) 3) -3) (sqrt x)) (+ (* (+ y (/ 1/9 x)) 3) -3) (+ y (/ 1/9 x)) (/ 1/9 x) (/ 1 (* 9 x)) (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (* 3 (sqrt x)) (/ 1/3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1))
2.0ms
y
@-inf
((+ (* (* (+ y (/ 1/9 x)) (sqrt x)) 3) (* -3 (sqrt x))) (+ (* (+ (* y 3) -3) (sqrt x)) (/ 1/3 (sqrt x))) (+ (* y 3) -3) (sqrt x) (+ (* (* (+ y (/ 1/9 x)) (sqrt x)) 3) (* -3 (sqrt x))) (* (* x 3) (* (- y 1) (sqrt (/ 1 x)))) (* (sqrt x) -3) (+ (* (* (- (/ 1/9 x) 1) (sqrt x)) 3) (* y (* (sqrt x) 3))) (* (+ (/ 1/3 x) -3) (sqrt x)) (+ (/ 1/3 x) -3) (/ 1/3 x) (* (+ (* (+ y (/ 1/9 x)) 3) -3) (sqrt x)) (+ (* (+ y (/ 1/9 x)) 3) -3) (+ y (/ 1/9 x)) (/ 1/9 x) (/ 1 (* 9 x)) (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (* 3 (sqrt x)) (/ 1/3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1))

simplify138.0ms (1.5%)

Memory
-6.0MiB live, 188.5MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01983761
15753300
218143273
339863273
083733014
Stop Event
1×iter limit
1×node limit
Counts
360 → 354
Calls
Call 1
Inputs
(+ (* -3 (sqrt x)) (* 1/3 (sqrt (/ 1 x))))
(+ (* -3 (sqrt x)) (+ (* 1/3 (sqrt (/ 1 x))) (* 3 (* (sqrt x) y))))
(+ (* -3 (sqrt x)) (+ (* 1/3 (sqrt (/ 1 x))) (* 3 (* (sqrt x) y))))
(+ (* -3 (sqrt x)) (+ (* 1/3 (sqrt (/ 1 x))) (* 3 (* (sqrt x) y))))
(+ (* -3 (sqrt x)) (* 1/3 (sqrt (/ 1 x))))
(+ (* -3 (sqrt x)) (+ (* 1/3 (sqrt (/ 1 x))) (* 3 (* (sqrt x) y))))
(+ (* -3 (sqrt x)) (+ (* 1/3 (sqrt (/ 1 x))) (* 3 (* (sqrt x) y))))
(+ (* -3 (sqrt x)) (+ (* 1/3 (sqrt (/ 1 x))) (* 3 (* (sqrt x) y))))
-3
(- (* 3 y) 3)
(- (* 3 y) 3)
(- (* 3 y) 3)
(+ (* -3 (sqrt x)) (* 1/3 (sqrt (/ 1 x))))
(+ (* -3 (sqrt x)) (+ (* 1/3 (sqrt (/ 1 x))) (* 3 (* (sqrt x) y))))
(+ (* -3 (sqrt x)) (+ (* 1/3 (sqrt (/ 1 x))) (* 3 (* (sqrt x) y))))
(+ (* -3 (sqrt x)) (+ (* 1/3 (sqrt (/ 1 x))) (* 3 (* (sqrt x) y))))
(* -3 (sqrt x))
(+ (* -3 (sqrt x)) (* 3 (* (sqrt x) y)))
(+ (* -3 (sqrt x)) (* 3 (* (sqrt x) y)))
(+ (* -3 (sqrt x)) (* 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))))
(* (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)
(/ 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) (/ 1 y))) (+ (* 1/3 (* (sqrt (/ 1 x)) (/ 1 y))) (* 3 (sqrt x)))))
(* y (+ (* -3 (* (sqrt x) (/ 1 y))) (+ (* 1/3 (* (sqrt (/ 1 x)) (/ 1 y))) (* 3 (sqrt x)))))
(* y (+ (* -3 (* (sqrt x) (/ 1 y))) (+ (* 1/3 (* (sqrt (/ 1 x)) (/ 1 y))) (* 3 (sqrt x)))))
(* 3 (* (sqrt x) y))
(* y (+ (* -3 (* (sqrt x) (/ 1 y))) (+ (* 1/3 (* (sqrt (/ 1 x)) (/ 1 y))) (* 3 (sqrt x)))))
(* y (+ (* -3 (* (sqrt x) (/ 1 y))) (+ (* 1/3 (* (sqrt (/ 1 x)) (/ 1 y))) (* 3 (sqrt x)))))
(* y (+ (* -3 (* (sqrt x) (/ 1 y))) (+ (* 1/3 (* (sqrt (/ 1 x)) (/ 1 y))) (* 3 (sqrt x)))))
(* 3 y)
(* y (- 3 (* 3 (/ 1 y))))
(* y (- 3 (* 3 (/ 1 y))))
(* y (- 3 (* 3 (/ 1 y))))
(* 3 (* (sqrt x) y))
(* y (+ (* -3 (* (sqrt x) (/ 1 y))) (+ (* 1/3 (* (sqrt (/ 1 x)) (/ 1 y))) (* 3 (sqrt x)))))
(* y (+ (* -3 (* (sqrt x) (/ 1 y))) (+ (* 1/3 (* (sqrt (/ 1 x)) (/ 1 y))) (* 3 (sqrt x)))))
(* y (+ (* -3 (* (sqrt x) (/ 1 y))) (+ (* 1/3 (* (sqrt (/ 1 x)) (/ 1 y))) (* 3 (sqrt x)))))
(* 3 (* (sqrt x) y))
(* y (+ (* -3 (* (sqrt x) (/ 1 y))) (* 3 (sqrt x))))
(* y (+ (* -3 (* (sqrt x) (/ 1 y))) (* 3 (sqrt x))))
(* y (+ (* -3 (* (sqrt x) (/ 1 y))) (* 3 (sqrt x))))
(* 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))))
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)) (* -1 (/ (+ (* -3 (sqrt x)) (* 1/3 (sqrt (/ 1 x)))) y)))))
(* -1 (* y (+ (* -3 (sqrt x)) (* -1 (/ (+ (* -3 (sqrt x)) (* 1/3 (sqrt (/ 1 x)))) y)))))
(* -1 (* y (+ (* -3 (sqrt x)) (* -1 (/ (+ (* -3 (sqrt x)) (* 1/3 (sqrt (/ 1 x)))) y)))))
(* 3 (* (sqrt x) y))
(* -1 (* y (+ (* -3 (sqrt x)) (* -1 (/ (+ (* -3 (sqrt x)) (* 1/3 (sqrt (/ 1 x)))) y)))))
(* -1 (* y (+ (* -3 (sqrt x)) (* -1 (/ (+ (* -3 (sqrt x)) (* 1/3 (sqrt (/ 1 x)))) y)))))
(* -1 (* y (+ (* -3 (sqrt x)) (* -1 (/ (+ (* -3 (sqrt x)) (* 1/3 (sqrt (/ 1 x)))) y)))))
(* 3 y)
(* -1 (* y (- (* 3 (/ 1 y)) 3)))
(* -1 (* y (- (* 3 (/ 1 y)) 3)))
(* -1 (* y (- (* 3 (/ 1 y)) 3)))
(* 3 (* (sqrt x) y))
(* -1 (* y (+ (* -3 (sqrt x)) (* -1 (/ (+ (* -3 (sqrt x)) (* 1/3 (sqrt (/ 1 x)))) y)))))
(* -1 (* y (+ (* -3 (sqrt x)) (* -1 (/ (+ (* -3 (sqrt x)) (* 1/3 (sqrt (/ 1 x)))) y)))))
(* -1 (* y (+ (* -3 (sqrt x)) (* -1 (/ (+ (* -3 (sqrt x)) (* 1/3 (sqrt (/ 1 x)))) y)))))
(* 3 (* (sqrt x) y))
(* -1 (* y (+ (* -3 (sqrt x)) (* 3 (* (sqrt x) (/ 1 y))))))
(* -1 (* y (+ (* -3 (sqrt x)) (* 3 (* (sqrt x) (/ 1 y))))))
(* -1 (* y (+ (* -3 (sqrt x)) (* 3 (* (sqrt 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)))
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)))
(* 1/3 (sqrt (/ 1 x)))
(/ (+ (* 1/3 (sqrt x)) (* x (+ (* -3 (sqrt x)) (* 3 (* (sqrt x) y))))) x)
(/ (+ (* 1/3 (sqrt x)) (* x (+ (* -3 (sqrt x)) (* 3 (* (sqrt x) y))))) x)
(/ (+ (* 1/3 (sqrt x)) (* x (+ (* -3 (sqrt x)) (* 3 (* (sqrt x) y))))) x)
(* 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)
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(* 1/3 (sqrt (/ 1 x)))
(/ (+ (* 1/3 (sqrt x)) (* x (+ (* -3 (sqrt x)) (* 3 (* (sqrt x) y))))) x)
(/ (+ (* 1/3 (sqrt x)) (* x (+ (* -3 (sqrt x)) (* 3 (* (sqrt x) y))))) x)
(/ (+ (* 1/3 (sqrt x)) (* x (+ (* -3 (sqrt x)) (* 3 (* (sqrt x) y))))) x)
(* 3 (* (sqrt x) (- y 1)))
(* 3 (* (sqrt x) (- y 1)))
(* 3 (* (sqrt x) (- y 1)))
(* 3 (* (sqrt x) (- y 1)))
(* -3 (sqrt x))
(* -3 (sqrt x))
(* -3 (sqrt x))
(* -3 (sqrt x))
(* 1/3 (sqrt (/ 1 x)))
(/ (+ (* 1/3 (sqrt x)) (* x (+ (* -3 (sqrt x)) (* 3 (* (sqrt x) y))))) x)
(/ (+ (* 1/3 (sqrt x)) (* x (+ (* -3 (sqrt x)) (* 3 (* (sqrt x) y))))) x)
(/ (+ (* 1/3 (sqrt x)) (* x (+ (* -3 (sqrt x)) (* 3 (* (sqrt x) y))))) 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)) (* (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)
(/ 1/3 x)
(/ (+ 1/3 (* x (- (* 3 y) 3))) x)
(/ (+ 1/3 (* x (- (* 3 y) 3))) x)
(/ (+ 1/3 (* x (- (* 3 y) 3))) x)
(/ 1/9 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)
(/ 1/9 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))
(* 1/3 (sqrt (/ 1 x)))
(* 1/3 (sqrt (/ 1 x)))
(* 1/3 (sqrt (/ 1 x)))
(* 1/3 (sqrt (/ 1 x)))
(/ 1/9 x)
(/ (+ 1/9 (* x (- y 1))) x)
(/ (+ 1/9 (* x (- y 1))) x)
(/ (+ 1/9 (* x (- y 1))) x)
(* x (+ (* -3 (sqrt (/ 1 x))) (* 3 (* (sqrt (/ 1 x)) y))))
(* x (+ (* -3 (sqrt (/ 1 x))) (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) y)))))
(* x (+ (* -3 (sqrt (/ 1 x))) (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) y)))))
(* x (+ (* -3 (sqrt (/ 1 x))) (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) y)))))
(* (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))))
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(* x (+ (* -3 (sqrt (/ 1 x))) (* 3 (* (sqrt (/ 1 x)) y))))
(* x (+ (* -3 (sqrt (/ 1 x))) (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) y)))))
(* x (+ (* -3 (sqrt (/ 1 x))) (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) y)))))
(* x (+ (* -3 (sqrt (/ 1 x))) (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) y)))))
(* 3 (* (sqrt x) (- y 1)))
(* 3 (* (sqrt x) (- y 1)))
(* 3 (* (sqrt x) (- y 1)))
(* 3 (* (sqrt x) (- y 1)))
(* -3 (sqrt x))
(* -3 (sqrt x))
(* -3 (sqrt x))
(* -3 (sqrt x))
(* x (+ (* -3 (sqrt (/ 1 x))) (* 3 (* (sqrt (/ 1 x)) y))))
(* x (+ (* -3 (sqrt (/ 1 x))) (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) y)))))
(* x (+ (* -3 (sqrt (/ 1 x))) (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) y)))))
(* x (+ (* -3 (sqrt (/ 1 x))) (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) y)))))
(* -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)
(* (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))))
(- (* 3 y) 3)
(- (+ (* 3 y) (* 1/3 (/ 1 x))) 3)
(- (+ (* 3 y) (* 1/3 (/ 1 x))) 3)
(- (+ (* 3 y) (* 1/3 (/ 1 x))) 3)
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)
(/ 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))
(* 1/3 (sqrt (/ 1 x)))
(* 1/3 (sqrt (/ 1 x)))
(* 1/3 (sqrt (/ 1 x)))
(* 1/3 (sqrt (/ 1 x)))
(- y 1)
(- (+ y (* 1/9 (/ 1 x))) 1)
(- (+ y (* 1/9 (/ 1 x))) 1)
(- (+ y (* 1/9 (/ 1 x))) 1)
(* -1 (* x (+ (* -3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* y (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 (/ 1 x)) (* y (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 (/ 1 x)) (* y (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 (/ 1 x)) (* y (pow (sqrt -1) 2))))))))
(* -1 (* (sqrt x) (* (pow (sqrt -1) 2) (- (* 3 y) 3))))
(* -1 (* x (+ (* -1/3 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- (* 3 y) 3))))))
(* -1 (* x (+ (* -1/3 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- (* 3 y) 3))))))
(* -1 (* x (+ (* -1/3 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- (* 3 y) 3))))))
(* -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)))
(* -1 (* x (+ (* -3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* y (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 (/ 1 x)) (* y (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 (/ 1 x)) (* y (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 (/ 1 x)) (* y (pow (sqrt -1) 2))))))))
(* 3 (* (sqrt x) (* (pow (sqrt -1) 2) (- y 1))))
(* 3 (* (sqrt x) (* (pow (sqrt -1) 2) (- y 1))))
(* 3 (* (sqrt x) (* (pow (sqrt -1) 2) (- y 1))))
(* 3 (* (sqrt 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 (* x (+ (* -3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* y (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 (/ 1 x)) (* y (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 (/ 1 x)) (* y (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 (/ 1 x)) (* y (pow (sqrt -1) 2))))))))
(* 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)
(* -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))))))
(- (* 3 y) 3)
(- (+ (* 3 y) (* 1/3 (/ 1 x))) 3)
(- (+ (* 3 y) (* 1/3 (/ 1 x))) 3)
(- (+ (* 3 y) (* 1/3 (/ 1 x))) 3)
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)
(/ 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)))
(* 1/3 (sqrt (/ 1 x)))
(* 1/3 (sqrt (/ 1 x)))
(* 1/3 (sqrt (/ 1 x)))
(* 1/3 (sqrt (/ 1 x)))
(- y 1)
(- (+ y (* 1/9 (/ 1 x))) 1)
(- (+ y (* 1/9 (/ 1 x))) 1)
(- (+ y (* 1/9 (/ 1 x))) 1)
Outputs
(+ (* -3 (sqrt x)) (* 1/3 (sqrt (/ 1 x))))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64) (*.f64 (sqrt.f64 x) #s(literal -3 binary64)))
(+ (* -3 (sqrt x)) (+ (* 1/3 (sqrt (/ 1 x))) (* 3 (* (sqrt x) y))))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64) (*.f64 (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 x)))
(+ (* -3 (sqrt x)) (+ (* 1/3 (sqrt (/ 1 x))) (* 3 (* (sqrt x) y))))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64) (*.f64 (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 x)))
(+ (* -3 (sqrt x)) (+ (* 1/3 (sqrt (/ 1 x))) (* 3 (* (sqrt x) y))))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64) (*.f64 (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 x)))
(+ (* -3 (sqrt x)) (* 1/3 (sqrt (/ 1 x))))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64) (*.f64 (sqrt.f64 x) #s(literal -3 binary64)))
(+ (* -3 (sqrt x)) (+ (* 1/3 (sqrt (/ 1 x))) (* 3 (* (sqrt x) y))))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64) (*.f64 (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 x)))
(+ (* -3 (sqrt x)) (+ (* 1/3 (sqrt (/ 1 x))) (* 3 (* (sqrt x) y))))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64) (*.f64 (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 x)))
(+ (* -3 (sqrt x)) (+ (* 1/3 (sqrt (/ 1 x))) (* 3 (* (sqrt x) y))))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64) (*.f64 (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 x)))
-3
#s(literal -3 binary64)
(- (* 3 y) 3)
(fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64))
(- (* 3 y) 3)
(fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64))
(- (* 3 y) 3)
(fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64))
(+ (* -3 (sqrt x)) (* 1/3 (sqrt (/ 1 x))))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64) (*.f64 (sqrt.f64 x) #s(literal -3 binary64)))
(+ (* -3 (sqrt x)) (+ (* 1/3 (sqrt (/ 1 x))) (* 3 (* (sqrt x) y))))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64) (*.f64 (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 x)))
(+ (* -3 (sqrt x)) (+ (* 1/3 (sqrt (/ 1 x))) (* 3 (* (sqrt x) y))))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64) (*.f64 (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 x)))
(+ (* -3 (sqrt x)) (+ (* 1/3 (sqrt (/ 1 x))) (* 3 (* (sqrt x) y))))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64) (*.f64 (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 x)))
(* -3 (sqrt x))
(*.f64 (sqrt.f64 x) #s(literal -3 binary64))
(+ (* -3 (sqrt x)) (* 3 (* (sqrt x) y)))
(*.f64 (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 x))
(+ (* -3 (sqrt x)) (* 3 (* (sqrt x) y)))
(*.f64 (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 x))
(+ (* -3 (sqrt x)) (* 3 (* (sqrt x) y)))
(*.f64 (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 x))
(* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1)))
(*.f64 (fma.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 x))
(+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1))))
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal 1 binary64)))
(+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1))))
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal 1 binary64)))
(+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1))))
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal 1 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)))
(/ 1/9 x)
(/.f64 #s(literal 1/9 binary64) x)
(+ y (* 1/9 (/ 1 x)))
(+.f64 (/.f64 #s(literal 1/9 binary64) x) y)
(+ y (* 1/9 (/ 1 x)))
(+.f64 (/.f64 #s(literal 1/9 binary64) x) y)
(+ y (* 1/9 (/ 1 x)))
(+.f64 (/.f64 #s(literal 1/9 binary64) x) y)
(* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1)))
(*.f64 (fma.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 x))
(+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1))))
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal 1 binary64)))
(+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1))))
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal 1 binary64)))
(+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1))))
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal 1 binary64)))
(- (* 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 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal 1 binary64))
(- (+ y (* 1/9 (/ 1 x))) 1)
(-.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal 1 binary64))
(- (+ y (* 1/9 (/ 1 x))) 1)
(-.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal 1 binary64))
(* 3 (* (sqrt x) y))
(*.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64))
(* y (+ (* -3 (* (sqrt x) (/ 1 y))) (+ (* 1/3 (* (sqrt (/ 1 x)) (/ 1 y))) (* 3 (sqrt x)))))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64) (*.f64 (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 x)))
(* y (+ (* -3 (* (sqrt x) (/ 1 y))) (+ (* 1/3 (* (sqrt (/ 1 x)) (/ 1 y))) (* 3 (sqrt x)))))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64) (*.f64 (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 x)))
(* y (+ (* -3 (* (sqrt x) (/ 1 y))) (+ (* 1/3 (* (sqrt (/ 1 x)) (/ 1 y))) (* 3 (sqrt x)))))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64) (*.f64 (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 x)))
(* 3 (* (sqrt x) y))
(*.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64))
(* y (+ (* -3 (* (sqrt x) (/ 1 y))) (+ (* 1/3 (* (sqrt (/ 1 x)) (/ 1 y))) (* 3 (sqrt x)))))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64) (*.f64 (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 x)))
(* y (+ (* -3 (* (sqrt x) (/ 1 y))) (+ (* 1/3 (* (sqrt (/ 1 x)) (/ 1 y))) (* 3 (sqrt x)))))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64) (*.f64 (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 x)))
(* y (+ (* -3 (* (sqrt x) (/ 1 y))) (+ (* 1/3 (* (sqrt (/ 1 x)) (/ 1 y))) (* 3 (sqrt x)))))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64) (*.f64 (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 x)))
(* 3 y)
(*.f64 y #s(literal 3 binary64))
(* y (- 3 (* 3 (/ 1 y))))
(fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64))
(* y (- 3 (* 3 (/ 1 y))))
(fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64))
(* y (- 3 (* 3 (/ 1 y))))
(fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64))
(* 3 (* (sqrt x) y))
(*.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64))
(* y (+ (* -3 (* (sqrt x) (/ 1 y))) (+ (* 1/3 (* (sqrt (/ 1 x)) (/ 1 y))) (* 3 (sqrt x)))))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64) (*.f64 (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 x)))
(* y (+ (* -3 (* (sqrt x) (/ 1 y))) (+ (* 1/3 (* (sqrt (/ 1 x)) (/ 1 y))) (* 3 (sqrt x)))))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64) (*.f64 (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 x)))
(* y (+ (* -3 (* (sqrt x) (/ 1 y))) (+ (* 1/3 (* (sqrt (/ 1 x)) (/ 1 y))) (* 3 (sqrt x)))))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64) (*.f64 (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 x)))
(* 3 (* (sqrt x) y))
(*.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64))
(* y (+ (* -3 (* (sqrt x) (/ 1 y))) (* 3 (sqrt x))))
(*.f64 (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 x))
(* y (+ (* -3 (* (sqrt x) (/ 1 y))) (* 3 (sqrt x))))
(*.f64 (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 x))
(* y (+ (* -3 (* (sqrt x) (/ 1 y))) (* 3 (sqrt x))))
(*.f64 (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 x))
(* 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 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal 1 binary64)))
(* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal 1 binary64)))
(* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal 1 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)))
y
(* y (+ 1 (* 1/9 (/ 1 (* x y)))))
(+.f64 (/.f64 #s(literal 1/9 binary64) x) y)
(* y (+ 1 (* 1/9 (/ 1 (* x y)))))
(+.f64 (/.f64 #s(literal 1/9 binary64) x) y)
(* y (+ 1 (* 1/9 (/ 1 (* x y)))))
(+.f64 (/.f64 #s(literal 1/9 binary64) x) y)
(* 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 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal 1 binary64)))
(* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal 1 binary64)))
(* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal 1 binary64)))
y
(* y (- (+ 1 (/ 1/9 (* x y))) (/ 1 y)))
(-.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal 1 binary64))
(* y (- (+ 1 (/ 1/9 (* x y))) (/ 1 y)))
(-.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal 1 binary64))
(* y (- (+ 1 (/ 1/9 (* x y))) (/ 1 y)))
(-.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal 1 binary64))
(* 3 (* (sqrt x) y))
(*.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64))
(* -1 (* y (+ (* -3 (sqrt x)) (* -1 (/ (+ (* -3 (sqrt x)) (* 1/3 (sqrt (/ 1 x)))) y)))))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64) (*.f64 (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 x)))
(* -1 (* y (+ (* -3 (sqrt x)) (* -1 (/ (+ (* -3 (sqrt x)) (* 1/3 (sqrt (/ 1 x)))) y)))))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64) (*.f64 (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 x)))
(* -1 (* y (+ (* -3 (sqrt x)) (* -1 (/ (+ (* -3 (sqrt x)) (* 1/3 (sqrt (/ 1 x)))) y)))))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64) (*.f64 (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 x)))
(* 3 (* (sqrt x) y))
(*.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64))
(* -1 (* y (+ (* -3 (sqrt x)) (* -1 (/ (+ (* -3 (sqrt x)) (* 1/3 (sqrt (/ 1 x)))) y)))))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64) (*.f64 (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 x)))
(* -1 (* y (+ (* -3 (sqrt x)) (* -1 (/ (+ (* -3 (sqrt x)) (* 1/3 (sqrt (/ 1 x)))) y)))))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64) (*.f64 (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 x)))
(* -1 (* y (+ (* -3 (sqrt x)) (* -1 (/ (+ (* -3 (sqrt x)) (* 1/3 (sqrt (/ 1 x)))) y)))))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64) (*.f64 (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 x)))
(* 3 y)
(*.f64 y #s(literal 3 binary64))
(* -1 (* y (- (* 3 (/ 1 y)) 3)))
(fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64))
(* -1 (* y (- (* 3 (/ 1 y)) 3)))
(fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64))
(* -1 (* y (- (* 3 (/ 1 y)) 3)))
(fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64))
(* 3 (* (sqrt x) y))
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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 (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)
(* -3 (* (sqrt x) (pow (sqrt -1) 2)))
(*.f64 #s(literal 3 binary64) (sqrt.f64 x))
(* -3 (* (sqrt x) (pow (sqrt -1) 2)))
(*.f64 #s(literal 3 binary64) (sqrt.f64 x))
(* -3 (* (sqrt x) (pow (sqrt -1) 2)))
(*.f64 #s(literal 3 binary64) (sqrt.f64 x))
(* -3 (* (sqrt x) (pow (sqrt -1) 2)))
(*.f64 #s(literal 3 binary64) (sqrt.f64 x))
(* 1/3 (sqrt (/ 1 x)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64))
(* 1/3 (sqrt (/ 1 x)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64))
(* 1/3 (sqrt (/ 1 x)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64))
(* 1/3 (sqrt (/ 1 x)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64))
(- y 1)
(-.f64 y #s(literal 1 binary64))
(- (+ y (* 1/9 (/ 1 x))) 1)
(-.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal 1 binary64))
(- (+ y (* 1/9 (/ 1 x))) 1)
(-.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal 1 binary64))
(- (+ y (* 1/9 (/ 1 x))) 1)
(-.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal 1 binary64))

rewrite176.0ms (1.9%)

Memory
21.6MiB live, 297.1MiB allocated
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
053219
077209
1310192
22144192
08822192
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
20 → 439
Calls
Call 1
Inputs
#s(approx (+ (* (* (+ y (/ 1/9 x)) (sqrt x)) 3) (* -3 (sqrt x))) (fma.f64 (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 x) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x))))
(fma.f64 (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 x) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)))
(fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64))
(sqrt.f64 x)
#s(approx (+ (* (* (+ y (/ 1/9 x)) (sqrt x)) 3) (* -3 (sqrt x))) #s(approx (* (* x 3) (* (- y 1) (sqrt (/ 1 x)))) (*.f64 (sqrt.f64 x) #s(literal -3 binary64))))
#s(approx (* (* x 3) (* (- y 1) (sqrt (/ 1 x)))) (*.f64 (sqrt.f64 x) #s(literal -3 binary64)))
(*.f64 (sqrt.f64 x) #s(literal -3 binary64))
#s(approx (+ (* (* (- (/ 1/9 x) 1) (sqrt x)) 3) (* y (* (sqrt x) 3))) (*.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 (fma.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 x))
(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))
(/.f64 #s(literal 1/9 binary64) x)
(/.f64 #s(literal 1 binary64) (*.f64 #s(literal 9 binary64) x))
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) #s(approx (- (+ y (/ 1 (* x 9))) 1) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 9 binary64) x)) #s(literal 1 binary64))))
(*.f64 #s(literal 3 binary64) (sqrt.f64 x))
(/.f64 #s(literal 1/3 binary64) (sqrt.f64 x))
#s(approx (- (+ y (/ 1 (* x 9))) 1) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 9 binary64) x)) #s(literal 1 binary64)))
Outputs
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eval300.0ms (3.3%)

Memory
-4.4MiB live, 246.6MiB allocated
Compiler

Compiled 15 136 to 1 872 computations (87.6% saved)

prune85.0ms (0.9%)

Memory
4.0MiB live, 121.3MiB allocated
Pruning

30 alts after pruning (22 fresh and 8 done)

PrunedKeptTotal
New8999908
Fresh71320
Picked145
Done044
Total90730937
Accuracy
100.0%
Counts
937 → 30
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.5%
(fma.f64 (sqrt.f64 x) #s(literal -3 binary64) (*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y)))
57.2%
(fma.f64 #s(approx (* (- (/ 1/9 x) 1) (sqrt x)) (neg.f64 (sqrt.f64 x))) #s(literal 3 binary64) (*.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64))))
✓99.4%
(*.f64 (fma.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 x))
99.5%
(*.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal 1 binary64)) (*.f64 (sqrt.f64 x) #s(literal 3 binary64)))
99.4%
(*.f64 (*.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal 1 binary64)) (sqrt.f64 x)) #s(literal 3 binary64))
66.6%
(*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) #s(approx (- (+ y (/ 1 (* x 9))) 1) (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64))))
42.2%
(*.f64 (*.f64 #s(approx (- (+ y (/ 1 (* x 9))) 1) (/.f64 #s(literal 1/9 binary64) x)) (sqrt.f64 x)) #s(literal 3 binary64))
84.9%
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) #s(approx (- (+ y (/ 1 (* x 9))) 1) (fma.f64 (+.f64 (/.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal 1 binary64)) y #s(literal -1 binary64))))
42.1%
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) #s(approx (- (+ y (/ 1 (* x 9))) 1) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 9 binary64) x))))
✓42.2%
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) #s(approx (- (+ y (/ 1 (* x 9))) 1) (/.f64 #s(literal 1/9 binary64) x)))
✓66.5%
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) #s(approx (- (+ y (/ 1 (* x 9))) 1) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 9 binary64) x)) #s(literal 1 binary64))))
57.1%
(*.f64 #s(approx (+ (* (+ y (/ 1/9 x)) 3) -3) (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64))) (sqrt.f64 x))
42.3%
(*.f64 #s(approx (+ (* (+ y (/ 1/9 x)) 3) -3) (/.f64 #s(literal 1/3 binary64) x)) (sqrt.f64 x))
42.3%
#s(approx (/ (- (* (* (* (+ y (/ 1/9 x)) 3) (sqrt x)) (* (* (+ y (/ 1/9 x)) 3) (sqrt x))) (* (* -3 (sqrt x)) (* -3 (sqrt x)))) (- (* (* (+ y (/ 1/9 x)) 3) (sqrt x)) (* -3 (sqrt x)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64)))
44.4%
#s(approx (+ (* (* (- (/ 1/9 x) 1) (sqrt x)) 3) (* y (* (sqrt x) 3))) (/.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))))
66.6%
#s(approx (+ (* (* (- (/ 1/9 x) 1) (sqrt x)) 3) (* y (* (sqrt x) 3))) (*.f64 (fma.f64 #s(literal -1/3 binary64) (/.f64 #s(literal -1 binary64) x) #s(literal -3 binary64)) (sqrt.f64 x)))
66.6%
#s(approx (+ (* (* (- (/ 1/9 x) 1) (sqrt x)) 3) (* y (* (sqrt x) 3))) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) x)) #s(literal -3 binary64)) (sqrt.f64 x)))
✓66.6%
#s(approx (+ (* (* (- (/ 1/9 x) 1) (sqrt x)) 3) (* y (* (sqrt x) 3))) (*.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64)) (sqrt.f64 x)))
99.5%
#s(approx (+ (* (* (+ y (/ 1/9 x)) (sqrt x)) 3) (* -3 (sqrt x))) (fma.f64 (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 x) (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal 3 binary64)))))
74.9%
#s(approx (+ (* (* (+ y (/ 1/9 x)) (sqrt x)) 3) (* -3 (sqrt x))) (fma.f64 #s(approx (+ (* y 3) -3) (*.f64 y #s(literal 3 binary64))) (sqrt.f64 x) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x))))
66.6%
#s(approx (+ (* (* (+ y (/ 1/9 x)) (sqrt x)) 3) (* -3 (sqrt x))) (fma.f64 #s(approx (+ (* y 3) -3) #s(literal -3 binary64)) (sqrt.f64 x) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x))))
52.5%
#s(approx (+ (* (* (+ y (/ 1/9 x)) (sqrt x)) 3) (* -3 (sqrt x))) (/.f64 (*.f64 x (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64))) (sqrt.f64 x)))
53.7%
#s(approx (+ (* (* (+ y (/ 1/9 x)) (sqrt x)) 3) (* -3 (sqrt x))) (*.f64 (/.f64 (-.f64 y #s(literal 1 binary64)) (sqrt.f64 x)) (*.f64 x #s(literal 3 binary64))))
24.5%
#s(approx (+ (* (* (+ y (/ 1/9 x)) (sqrt x)) 3) (* -3 (sqrt x))) (*.f64 (*.f64 x #s(literal 3 binary64)) #s(approx (* (- y 1) (sqrt (/ 1 x))) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))))
2.5%
#s(approx (+ (* (* (+ y (/ 1/9 x)) (sqrt x)) 3) (* -3 (sqrt x))) #s(approx (* (* x 3) (* (- y 1) (sqrt (/ 1 x)))) (*.f64 (fma.f64 y #s(literal -3 binary64) #s(literal 3 binary64)) (sqrt.f64 x))))
✓24.5%
#s(approx (+ (* (* (+ y (/ 1/9 x)) (sqrt x)) 3) (* -3 (sqrt x))) #s(approx (* (* x 3) (* (- y 1) (sqrt (/ 1 x)))) (*.f64 (sqrt.f64 x) #s(literal -3 binary64))))
34.8%
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) y))
✓34.8%
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64)))
✓34.8%
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 y #s(literal 3 binary64)) (sqrt.f64 x)))
✓99.5%
#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 1 262 to 558 computations (55.8% saved)

regimes66.0ms (0.7%)

Memory
-15.0MiB live, 105.3MiB allocated
Counts
69 → 1
Calls
Call 1
Inputs
#s(approx (+ (* (* (+ y (/ 1/9 x)) (sqrt x)) 3) (* -3 (sqrt x))) #s(approx (* (* x 3) (* (- y 1) (sqrt (/ 1 x)))) (*.f64 (sqrt.f64 x) #s(literal -3 binary64))))
#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 (* (* 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)) (sqrt x)) 3) (* -3 (sqrt x))) #s(approx (* (* x 3) (* (- y 1) (sqrt (/ 1 x)))) (*.f64 (fma.f64 y #s(literal -3 binary64) #s(literal 3 binary64)) (sqrt.f64 x))))
#s(approx (+ (* (* (+ y (/ 1/9 x)) (sqrt x)) 3) (* -3 (sqrt x))) #s(approx (+ (* (sqrt (/ 1 x)) 1/3) (* (* 3 (- y 1)) (sqrt x))) (*.f64 (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 x))))
(*.f64 #s(approx (+ (* (+ y (/ 1/9 x)) 3) -3) (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))))
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 x) #s(approx (+ (* (- 1 y) -3) (/ 1/3 x)) (/.f64 #s(literal 1/3 binary64) 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 (/ (- (* (* (* (+ y (/ 1/9 x)) 3) (sqrt x)) (* (* (+ y (/ 1/9 x)) 3) (sqrt x))) (* (* -3 (sqrt x)) (* -3 (sqrt x)))) (- (* (* (+ y (/ 1/9 x)) 3) (sqrt x)) (* -3 (sqrt x)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64)))
(*.f64 #s(approx (+ (* (+ y (/ 1/9 x)) 3) -3) (/.f64 #s(literal 1/3 binary64) x)) (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 (+ (* (* (- (/ 1/9 x) 1) (sqrt x)) 3) (* y (* (sqrt x) 3))) (*.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) 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 #s(literal 1/9 binary64) x)))
(*.f64 (*.f64 #s(approx (- (+ y (/ 1 (* x 9))) 1) (/.f64 #s(literal 1/9 binary64) x)) (sqrt.f64 x)) #s(literal 3 binary64))
#s(approx (+ (* (* (+ y (/ 1/9 x)) (sqrt x)) 3) (* -3 (sqrt x))) (/.f64 (*.f64 x (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64))) (sqrt.f64 x)))
#s(approx (+ (* (* (- (/ 1/9 x) 1) (sqrt x)) 3) (* y (* (sqrt x) 3))) (*.f64 (fma.f64 #s(literal -1/3 binary64) (/.f64 #s(literal -1 binary64) x) #s(literal -3 binary64)) (sqrt.f64 x)))
#s(approx (+ (* (* (+ y (/ 1/9 x)) (sqrt x)) 3) (* -3 (sqrt x))) (*.f64 (*.f64 x #s(literal 3 binary64)) #s(approx (* (- y 1) (sqrt (/ 1 x))) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))))
#s(approx (+ (* (* (+ y (/ 1/9 x)) (sqrt x)) 3) (* -3 (sqrt x))) (*.f64 (/.f64 (-.f64 y #s(literal 1 binary64)) (sqrt.f64 x)) (*.f64 x #s(literal 3 binary64))))
#s(approx (+ (* (* (- (/ 1/9 x) 1) (sqrt x)) 3) (* y (* (sqrt x) 3))) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) 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 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64))))
(*.f64 (*.f64 #s(approx (- (+ y (/ 1 (* x 9))) 1) (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64))) (sqrt.f64 x)) #s(literal 3 binary64))
(*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) #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))))
(*.f64 (fma.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) 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 #s(literal 1 binary64) (*.f64 #s(literal 9 binary64) x))))
(fma.f64 #s(approx (* (+ y (/ 1/9 x)) (sqrt x)) (*.f64 y (sqrt.f64 x))) #s(literal 3 binary64) (*.f64 #s(literal -3 binary64) (sqrt.f64 x)))
#s(approx (+ (* (* (+ y (/ 1/9 x)) (sqrt x)) 3) (* -3 (sqrt x))) (fma.f64 #s(approx (+ (* y 3) -3) #s(literal -3 binary64)) (sqrt.f64 x) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x))))
#s(approx (+ (* (* (- (/ 1/9 x) 1) (sqrt x)) 3) (* y (* (sqrt x) 3))) (*.f64 (*.f64 (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) 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 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #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)) (*.f64 (sqrt.f64 x) #s(literal 3 binary64)))
(*.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal 1 binary64)) (*.f64 (sqrt.f64 x) #s(literal 3 binary64)))
(fma.f64 #s(approx (* (- (/ 1/9 x) 1) (sqrt x)) (neg.f64 (sqrt.f64 x))) #s(literal 3 binary64) (*.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64))))
#s(approx (+ (* (* (+ y (/ 1/9 x)) (sqrt x)) 3) (* -3 (sqrt x))) (*.f64 (*.f64 x #s(literal 3 binary64)) (*.f64 (-.f64 y #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) #s(approx (- (+ y (/ 1 (* x 9))) 1) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 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 binary64) (*.f64 x #s(literal 3 binary64))))))
#s(approx (+ (* (* (+ y (/ 1/9 x)) (sqrt x)) 3) (* -3 (sqrt x))) (fma.f64 #s(approx (+ (* y 3) -3) (*.f64 y #s(literal 3 binary64))) (sqrt.f64 x) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 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 (+ (* (* (+ y (/ 1/9 x)) (sqrt x)) 3) (* -3 (sqrt x))) (fma.f64 (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 x) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x))))
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) #s(approx (* (sqrt x) (+ (* (- 1 y) -3) (/ 1/3 x))) (*.f64 (*.f64 (sqrt.f64 x) (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 3 binary64)) y) #s(literal 3 binary64))) y)))
#s(approx (+ (* (* (+ y (/ 1/9 x)) (sqrt x)) 3) (* -3 (sqrt x))) (fma.f64 (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 x) (/.f64 #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 (/.f64 #s(literal -1 binary64) x) #s(literal -9 binary64))) #s(literal 1 binary64)))
#s(approx (+ (* (* (+ y (/ 1/9 x)) (sqrt x)) 3) (* -3 (sqrt x))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64) (*.f64 (*.f64 #s(literal 3 binary64) (-.f64 y #s(literal 1 binary64))) (sqrt.f64 x))))
(fma.f64 (sqrt.f64 x) #s(literal -3 binary64) (*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y)))
(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)))
(fma.f64 (*.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) (sqrt.f64 x)) #s(literal 3 binary64) (*.f64 #s(literal -3 binary64) (sqrt.f64 x)))
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) #s(approx (- (+ y (/ 1 (* x 9))) 1) (fma.f64 (+.f64 (/.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal 1 binary64)) y #s(literal -1 binary64))))
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 y #s(literal 3 binary64)) (*.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) y) #s(literal 1 binary64)) (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))))
(+.f64 (*.f64 (/.f64 #s(literal 1/9 binary64) x) (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) (*.f64 (-.f64 y #s(literal 1 binary64)) (*.f64 (sqrt.f64 x) #s(literal 3 binary64))))
(*.f64 (*.f64 #s(literal 3 binary64) (*.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 (sqrt.f64 x)))) #s(approx (- (+ y (/ 1 (* x 9))) 1) (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64))))
#s(approx (/ (- (* (* (* (+ y (/ 1/9 x)) 3) (sqrt x)) (* (* (+ y (/ 1/9 x)) 3) (sqrt x))) (* (* -3 (sqrt x)) (* -3 (sqrt x)))) (- (* (* (+ y (/ 1/9 x)) 3) (sqrt x)) (* -3 (sqrt x)))) (/.f64 (fma.f64 #s(literal -9 binary64) x (/.f64 #s(literal 1/9 binary64) x)) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64) (*.f64 (sqrt.f64 x) #s(literal 3 binary64)))))
#s(approx (/ (- (* (* (* (+ y (/ 1/9 x)) 3) (sqrt x)) (* (* (+ y (/ 1/9 x)) 3) (sqrt x))) (* (* -3 (sqrt x)) (* -3 (sqrt x)))) (- (* (* (+ y (/ 1/9 x)) 3) (sqrt x)) (* -3 (sqrt x)))) (/.f64 (fma.f64 (*.f64 y y) #s(literal 9 binary64) #s(literal -9 binary64)) (*.f64 #s(literal 3 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))))
(*.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 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) #s(approx (- (+ y (/ 1 (* x 9))) 1) (-.f64 (pow.f64 (*.f64 #s(literal -3 binary64) (sqrt.f64 x)) #s(literal -2 binary64)) #s(literal 1 binary64))))
(/.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) (pow.f64 (-.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 1 binary64)) #s(literal -1 binary64)))
#s(approx (+ (* (* (- (/ 1/9 x) 1) (sqrt x)) 3) (* y (* (sqrt x) 3))) (/.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 (/.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))
(/.f64 (*.f64 x (-.f64 (pow.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal 3 binary64)) #s(literal 2 binary64)) #s(literal 9 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 (*.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 #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))))
(fma.f64 (*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y)) (/.f64 (*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y)) (*.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal 3 binary64) #s(literal 3 binary64)) (sqrt.f64 x))) (neg.f64 (/.f64 (/.f64 (*.f64 #s(literal 9 binary64) x) (sqrt.f64 x)) (fma.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal 3 binary64) #s(literal 3 binary64)))))
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 #s(literal -1 binary64) (*.f64 y (/.f64 y (-.f64 y (/.f64 #s(literal 1/9 binary64) x))))) (/.f64 (pow.f64 x #s(literal -2 binary64)) (*.f64 (-.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 81 binary64)))))
(*.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)))
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (fma.f64 (pow.f64 (*.f64 #s(literal 9 binary64) x) #s(literal -1/2 binary64)) (pow.f64 (*.f64 #s(literal 9 binary64) x) #s(literal -1/2 binary64)) (-.f64 y #s(literal 1 binary64))))
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (fma.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/81 binary64) #s(literal -1 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)) #s(literal -1 binary64)) y))
Outputs
#s(approx (+ (* (* (+ y (/ 1/9 x)) (sqrt x)) 3) (* -3 (sqrt x))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64) (*.f64 (*.f64 #s(literal 3 binary64) (-.f64 y #s(literal 1 binary64))) (sqrt.f64 x))))
Calls

3 calls:

22.0ms
y
21.0ms
x
19.0ms
(*.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)

regimes44.0ms (0.5%)

Memory
2.5MiB live, 79.0MiB allocated
Counts
45 → 1
Calls
Call 1
Inputs
#s(approx (+ (* (* (+ y (/ 1/9 x)) (sqrt x)) 3) (* -3 (sqrt x))) #s(approx (* (* x 3) (* (- y 1) (sqrt (/ 1 x)))) (*.f64 (sqrt.f64 x) #s(literal -3 binary64))))
#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 (* (* 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)) (sqrt x)) 3) (* -3 (sqrt x))) #s(approx (* (* x 3) (* (- y 1) (sqrt (/ 1 x)))) (*.f64 (fma.f64 y #s(literal -3 binary64) #s(literal 3 binary64)) (sqrt.f64 x))))
#s(approx (+ (* (* (+ y (/ 1/9 x)) (sqrt x)) 3) (* -3 (sqrt x))) #s(approx (+ (* (sqrt (/ 1 x)) 1/3) (* (* 3 (- y 1)) (sqrt x))) (*.f64 (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 x))))
(*.f64 #s(approx (+ (* (+ y (/ 1/9 x)) 3) -3) (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))))
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 x) #s(approx (+ (* (- 1 y) -3) (/ 1/3 x)) (/.f64 #s(literal 1/3 binary64) 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 (/ (- (* (* (* (+ y (/ 1/9 x)) 3) (sqrt x)) (* (* (+ y (/ 1/9 x)) 3) (sqrt x))) (* (* -3 (sqrt x)) (* -3 (sqrt x)))) (- (* (* (+ y (/ 1/9 x)) 3) (sqrt x)) (* -3 (sqrt x)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64)))
(*.f64 #s(approx (+ (* (+ y (/ 1/9 x)) 3) -3) (/.f64 #s(literal 1/3 binary64) x)) (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 (+ (* (* (- (/ 1/9 x) 1) (sqrt x)) 3) (* y (* (sqrt x) 3))) (*.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) 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 #s(literal 1/9 binary64) x)))
(*.f64 (*.f64 #s(approx (- (+ y (/ 1 (* x 9))) 1) (/.f64 #s(literal 1/9 binary64) x)) (sqrt.f64 x)) #s(literal 3 binary64))
#s(approx (+ (* (* (+ y (/ 1/9 x)) (sqrt x)) 3) (* -3 (sqrt x))) (/.f64 (*.f64 x (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64))) (sqrt.f64 x)))
#s(approx (+ (* (* (- (/ 1/9 x) 1) (sqrt x)) 3) (* y (* (sqrt x) 3))) (*.f64 (fma.f64 #s(literal -1/3 binary64) (/.f64 #s(literal -1 binary64) x) #s(literal -3 binary64)) (sqrt.f64 x)))
#s(approx (+ (* (* (+ y (/ 1/9 x)) (sqrt x)) 3) (* -3 (sqrt x))) (*.f64 (*.f64 x #s(literal 3 binary64)) #s(approx (* (- y 1) (sqrt (/ 1 x))) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))))
#s(approx (+ (* (* (+ y (/ 1/9 x)) (sqrt x)) 3) (* -3 (sqrt x))) (*.f64 (/.f64 (-.f64 y #s(literal 1 binary64)) (sqrt.f64 x)) (*.f64 x #s(literal 3 binary64))))
#s(approx (+ (* (* (- (/ 1/9 x) 1) (sqrt x)) 3) (* y (* (sqrt x) 3))) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) 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 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64))))
(*.f64 (*.f64 #s(approx (- (+ y (/ 1 (* x 9))) 1) (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64))) (sqrt.f64 x)) #s(literal 3 binary64))
(*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) #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))))
(*.f64 (fma.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) 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 #s(literal 1 binary64) (*.f64 #s(literal 9 binary64) x))))
(fma.f64 #s(approx (* (+ y (/ 1/9 x)) (sqrt x)) (*.f64 y (sqrt.f64 x))) #s(literal 3 binary64) (*.f64 #s(literal -3 binary64) (sqrt.f64 x)))
#s(approx (+ (* (* (+ y (/ 1/9 x)) (sqrt x)) 3) (* -3 (sqrt x))) (fma.f64 #s(approx (+ (* y 3) -3) #s(literal -3 binary64)) (sqrt.f64 x) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x))))
#s(approx (+ (* (* (- (/ 1/9 x) 1) (sqrt x)) 3) (* y (* (sqrt x) 3))) (*.f64 (*.f64 (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) 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 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #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)) (*.f64 (sqrt.f64 x) #s(literal 3 binary64)))
(*.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal 1 binary64)) (*.f64 (sqrt.f64 x) #s(literal 3 binary64)))
(fma.f64 #s(approx (* (- (/ 1/9 x) 1) (sqrt x)) (neg.f64 (sqrt.f64 x))) #s(literal 3 binary64) (*.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64))))
#s(approx (+ (* (* (+ y (/ 1/9 x)) (sqrt x)) 3) (* -3 (sqrt x))) (*.f64 (*.f64 x #s(literal 3 binary64)) (*.f64 (-.f64 y #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) #s(approx (- (+ y (/ 1 (* x 9))) 1) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 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 binary64) (*.f64 x #s(literal 3 binary64))))))
#s(approx (+ (* (* (+ y (/ 1/9 x)) (sqrt x)) 3) (* -3 (sqrt x))) (fma.f64 #s(approx (+ (* y 3) -3) (*.f64 y #s(literal 3 binary64))) (sqrt.f64 x) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 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 (+ (* (* (+ y (/ 1/9 x)) (sqrt x)) 3) (* -3 (sqrt x))) (fma.f64 (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 x) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x))))
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) #s(approx (* (sqrt x) (+ (* (- 1 y) -3) (/ 1/3 x))) (*.f64 (*.f64 (sqrt.f64 x) (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 3 binary64)) y) #s(literal 3 binary64))) y)))
#s(approx (+ (* (* (+ y (/ 1/9 x)) (sqrt x)) 3) (* -3 (sqrt x))) (fma.f64 (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 x) (/.f64 #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 (/.f64 #s(literal -1 binary64) x) #s(literal -9 binary64))) #s(literal 1 binary64)))
Outputs
#s(approx (+ (* (* (+ y (/ 1/9 x)) (sqrt x)) 3) (* -3 (sqrt x))) (fma.f64 (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 x) (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal 3 binary64)))))
Calls

3 calls:

15.0ms
(*.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)))
14.0ms
x
13.0ms
y
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)

regimes50.0ms (0.5%)

Memory
-6.2MiB live, 71.2MiB allocated
Counts
43 → 1
Calls
Call 1
Inputs
#s(approx (+ (* (* (+ y (/ 1/9 x)) (sqrt x)) 3) (* -3 (sqrt x))) #s(approx (* (* x 3) (* (- y 1) (sqrt (/ 1 x)))) (*.f64 (sqrt.f64 x) #s(literal -3 binary64))))
#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 (* (* 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)) (sqrt x)) 3) (* -3 (sqrt x))) #s(approx (* (* x 3) (* (- y 1) (sqrt (/ 1 x)))) (*.f64 (fma.f64 y #s(literal -3 binary64) #s(literal 3 binary64)) (sqrt.f64 x))))
#s(approx (+ (* (* (+ y (/ 1/9 x)) (sqrt x)) 3) (* -3 (sqrt x))) #s(approx (+ (* (sqrt (/ 1 x)) 1/3) (* (* 3 (- y 1)) (sqrt x))) (*.f64 (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 x))))
(*.f64 #s(approx (+ (* (+ y (/ 1/9 x)) 3) -3) (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))))
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 x) #s(approx (+ (* (- 1 y) -3) (/ 1/3 x)) (/.f64 #s(literal 1/3 binary64) 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 (/ (- (* (* (* (+ y (/ 1/9 x)) 3) (sqrt x)) (* (* (+ y (/ 1/9 x)) 3) (sqrt x))) (* (* -3 (sqrt x)) (* -3 (sqrt x)))) (- (* (* (+ y (/ 1/9 x)) 3) (sqrt x)) (* -3 (sqrt x)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64)))
(*.f64 #s(approx (+ (* (+ y (/ 1/9 x)) 3) -3) (/.f64 #s(literal 1/3 binary64) x)) (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 (+ (* (* (- (/ 1/9 x) 1) (sqrt x)) 3) (* y (* (sqrt x) 3))) (*.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) 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 #s(literal 1/9 binary64) x)))
(*.f64 (*.f64 #s(approx (- (+ y (/ 1 (* x 9))) 1) (/.f64 #s(literal 1/9 binary64) x)) (sqrt.f64 x)) #s(literal 3 binary64))
#s(approx (+ (* (* (+ y (/ 1/9 x)) (sqrt x)) 3) (* -3 (sqrt x))) (/.f64 (*.f64 x (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64))) (sqrt.f64 x)))
#s(approx (+ (* (* (- (/ 1/9 x) 1) (sqrt x)) 3) (* y (* (sqrt x) 3))) (*.f64 (fma.f64 #s(literal -1/3 binary64) (/.f64 #s(literal -1 binary64) x) #s(literal -3 binary64)) (sqrt.f64 x)))
#s(approx (+ (* (* (+ y (/ 1/9 x)) (sqrt x)) 3) (* -3 (sqrt x))) (*.f64 (*.f64 x #s(literal 3 binary64)) #s(approx (* (- y 1) (sqrt (/ 1 x))) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))))
#s(approx (+ (* (* (+ y (/ 1/9 x)) (sqrt x)) 3) (* -3 (sqrt x))) (*.f64 (/.f64 (-.f64 y #s(literal 1 binary64)) (sqrt.f64 x)) (*.f64 x #s(literal 3 binary64))))
#s(approx (+ (* (* (- (/ 1/9 x) 1) (sqrt x)) 3) (* y (* (sqrt x) 3))) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) 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 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64))))
(*.f64 (*.f64 #s(approx (- (+ y (/ 1 (* x 9))) 1) (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64))) (sqrt.f64 x)) #s(literal 3 binary64))
(*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) #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))))
(*.f64 (fma.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) 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 #s(literal 1 binary64) (*.f64 #s(literal 9 binary64) x))))
(fma.f64 #s(approx (* (+ y (/ 1/9 x)) (sqrt x)) (*.f64 y (sqrt.f64 x))) #s(literal 3 binary64) (*.f64 #s(literal -3 binary64) (sqrt.f64 x)))
#s(approx (+ (* (* (+ y (/ 1/9 x)) (sqrt x)) 3) (* -3 (sqrt x))) (fma.f64 #s(approx (+ (* y 3) -3) #s(literal -3 binary64)) (sqrt.f64 x) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x))))
#s(approx (+ (* (* (- (/ 1/9 x) 1) (sqrt x)) 3) (* y (* (sqrt x) 3))) (*.f64 (*.f64 (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) 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 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #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)) (*.f64 (sqrt.f64 x) #s(literal 3 binary64)))
(*.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal 1 binary64)) (*.f64 (sqrt.f64 x) #s(literal 3 binary64)))
(fma.f64 #s(approx (* (- (/ 1/9 x) 1) (sqrt x)) (neg.f64 (sqrt.f64 x))) #s(literal 3 binary64) (*.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64))))
#s(approx (+ (* (* (+ y (/ 1/9 x)) (sqrt x)) 3) (* -3 (sqrt x))) (*.f64 (*.f64 x #s(literal 3 binary64)) (*.f64 (-.f64 y #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) #s(approx (- (+ y (/ 1 (* x 9))) 1) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 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 binary64) (*.f64 x #s(literal 3 binary64))))))
#s(approx (+ (* (* (+ y (/ 1/9 x)) (sqrt x)) 3) (* -3 (sqrt x))) (fma.f64 #s(approx (+ (* y 3) -3) (*.f64 y #s(literal 3 binary64))) (sqrt.f64 x) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 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 (+ (* (* (+ y (/ 1/9 x)) (sqrt x)) 3) (* -3 (sqrt x))) (fma.f64 (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 x) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x))))
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) #s(approx (* (sqrt x) (+ (* (- 1 y) -3) (/ 1/3 x))) (*.f64 (*.f64 (sqrt.f64 x) (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 3 binary64)) y) #s(literal 3 binary64))) y)))
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:

19.0ms
(*.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)))
16.0ms
x
13.0ms
y
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 (0.3%)

Memory
6.6MiB live, 44.1MiB allocated
Counts
25 → 3
Calls
Call 1
Inputs
#s(approx (+ (* (* (+ y (/ 1/9 x)) (sqrt x)) 3) (* -3 (sqrt x))) #s(approx (* (* x 3) (* (- y 1) (sqrt (/ 1 x)))) (*.f64 (sqrt.f64 x) #s(literal -3 binary64))))
#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 (* (* 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)) (sqrt x)) 3) (* -3 (sqrt x))) #s(approx (* (* x 3) (* (- y 1) (sqrt (/ 1 x)))) (*.f64 (fma.f64 y #s(literal -3 binary64) #s(literal 3 binary64)) (sqrt.f64 x))))
#s(approx (+ (* (* (+ y (/ 1/9 x)) (sqrt x)) 3) (* -3 (sqrt x))) #s(approx (+ (* (sqrt (/ 1 x)) 1/3) (* (* 3 (- y 1)) (sqrt x))) (*.f64 (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 x))))
(*.f64 #s(approx (+ (* (+ y (/ 1/9 x)) 3) -3) (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))))
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 x) #s(approx (+ (* (- 1 y) -3) (/ 1/3 x)) (/.f64 #s(literal 1/3 binary64) 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 (/ (- (* (* (* (+ y (/ 1/9 x)) 3) (sqrt x)) (* (* (+ y (/ 1/9 x)) 3) (sqrt x))) (* (* -3 (sqrt x)) (* -3 (sqrt x)))) (- (* (* (+ y (/ 1/9 x)) 3) (sqrt x)) (* -3 (sqrt x)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64)))
(*.f64 #s(approx (+ (* (+ y (/ 1/9 x)) 3) -3) (/.f64 #s(literal 1/3 binary64) x)) (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 (+ (* (* (- (/ 1/9 x) 1) (sqrt x)) 3) (* y (* (sqrt x) 3))) (*.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) 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 #s(literal 1/9 binary64) x)))
(*.f64 (*.f64 #s(approx (- (+ y (/ 1 (* x 9))) 1) (/.f64 #s(literal 1/9 binary64) x)) (sqrt.f64 x)) #s(literal 3 binary64))
#s(approx (+ (* (* (+ y (/ 1/9 x)) (sqrt x)) 3) (* -3 (sqrt x))) (/.f64 (*.f64 x (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64))) (sqrt.f64 x)))
#s(approx (+ (* (* (- (/ 1/9 x) 1) (sqrt x)) 3) (* y (* (sqrt x) 3))) (*.f64 (fma.f64 #s(literal -1/3 binary64) (/.f64 #s(literal -1 binary64) x) #s(literal -3 binary64)) (sqrt.f64 x)))
#s(approx (+ (* (* (+ y (/ 1/9 x)) (sqrt x)) 3) (* -3 (sqrt x))) (*.f64 (*.f64 x #s(literal 3 binary64)) #s(approx (* (- y 1) (sqrt (/ 1 x))) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))))
#s(approx (+ (* (* (+ y (/ 1/9 x)) (sqrt x)) 3) (* -3 (sqrt x))) (*.f64 (/.f64 (-.f64 y #s(literal 1 binary64)) (sqrt.f64 x)) (*.f64 x #s(literal 3 binary64))))
#s(approx (+ (* (* (- (/ 1/9 x) 1) (sqrt x)) 3) (* y (* (sqrt x) 3))) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) 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 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64))))
(*.f64 (*.f64 #s(approx (- (+ y (/ 1 (* x 9))) 1) (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64))) (sqrt.f64 x)) #s(literal 3 binary64))
(*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) #s(approx (- (+ y (/ 1 (* x 9))) 1) (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64))))
Outputs
(*.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 (+.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 y (sqrt.f64 x)) #s(literal 3 binary64)))
Calls

3 calls:

11.0ms
y
8.0ms
x
8.0ms
(*.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
88.0%2x
87.6%3y
92.4%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)

regimes6.0ms (0.1%)

Memory
8.5MiB live, 8.5MiB allocated
Counts
13 → 3
Calls
Call 1
Inputs
#s(approx (+ (* (* (+ y (/ 1/9 x)) (sqrt x)) 3) (* -3 (sqrt x))) #s(approx (* (* x 3) (* (- y 1) (sqrt (/ 1 x)))) (*.f64 (sqrt.f64 x) #s(literal -3 binary64))))
#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 (* (* 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)) (sqrt x)) 3) (* -3 (sqrt x))) #s(approx (* (* x 3) (* (- y 1) (sqrt (/ 1 x)))) (*.f64 (fma.f64 y #s(literal -3 binary64) #s(literal 3 binary64)) (sqrt.f64 x))))
#s(approx (+ (* (* (+ y (/ 1/9 x)) (sqrt x)) 3) (* -3 (sqrt x))) #s(approx (+ (* (sqrt (/ 1 x)) 1/3) (* (* 3 (- y 1)) (sqrt x))) (*.f64 (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 x))))
(*.f64 #s(approx (+ (* (+ y (/ 1/9 x)) 3) -3) (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))))
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 x) #s(approx (+ (* (- 1 y) -3) (/ 1/3 x)) (/.f64 #s(literal 1/3 binary64) 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 (/ (- (* (* (* (+ y (/ 1/9 x)) 3) (sqrt x)) (* (* (+ y (/ 1/9 x)) 3) (sqrt x))) (* (* -3 (sqrt x)) (* -3 (sqrt x)))) (- (* (* (+ y (/ 1/9 x)) 3) (sqrt x)) (* -3 (sqrt x)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64)))
(*.f64 #s(approx (+ (* (+ y (/ 1/9 x)) 3) -3) (/.f64 #s(literal 1/3 binary64) x)) (sqrt.f64 x))
Outputs
(*.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 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64)))
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64)))
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)

regimes5.0ms (0.1%)

Memory
5.8MiB live, 5.8MiB allocated
Counts
10 → 3
Calls
Call 1
Inputs
#s(approx (+ (* (* (+ y (/ 1/9 x)) (sqrt x)) 3) (* -3 (sqrt x))) #s(approx (* (* x 3) (* (- y 1) (sqrt (/ 1 x)))) (*.f64 (sqrt.f64 x) #s(literal -3 binary64))))
#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 (* (* 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)) (sqrt x)) 3) (* -3 (sqrt x))) #s(approx (* (* x 3) (* (- y 1) (sqrt (/ 1 x)))) (*.f64 (fma.f64 y #s(literal -3 binary64) #s(literal 3 binary64)) (sqrt.f64 x))))
#s(approx (+ (* (* (+ y (/ 1/9 x)) (sqrt x)) 3) (* -3 (sqrt x))) #s(approx (+ (* (sqrt (/ 1 x)) 1/3) (* (* 3 (- y 1)) (sqrt x))) (*.f64 (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 x))))
(*.f64 #s(approx (+ (* (+ y (/ 1/9 x)) 3) -3) (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))))
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 x) #s(approx (+ (* (- 1 y) -3) (/ 1/3 x)) (/.f64 #s(literal 1/3 binary64) x))))
Outputs
(*.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 (sqrt.f64 x) #s(approx (+ (* (- 1 y) -3) (/ 1/3 x)) (/.f64 #s(literal 1/3 binary64) x))))
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64)))
Calls

1 calls:

4.0ms
(*.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)

regimes30.0ms (0.3%)

Memory
-23.7MiB live, 14.1MiB allocated
Counts
9 → 1
Calls
Call 1
Inputs
#s(approx (+ (* (* (+ y (/ 1/9 x)) (sqrt x)) 3) (* -3 (sqrt x))) #s(approx (* (* x 3) (* (- y 1) (sqrt (/ 1 x)))) (*.f64 (sqrt.f64 x) #s(literal -3 binary64))))
#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 (* (* 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)) (sqrt x)) 3) (* -3 (sqrt x))) #s(approx (* (* x 3) (* (- y 1) (sqrt (/ 1 x)))) (*.f64 (fma.f64 y #s(literal -3 binary64) #s(literal 3 binary64)) (sqrt.f64 x))))
#s(approx (+ (* (* (+ y (/ 1/9 x)) (sqrt x)) 3) (* -3 (sqrt x))) #s(approx (+ (* (sqrt (/ 1 x)) 1/3) (* (* 3 (- y 1)) (sqrt x))) (*.f64 (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 x))))
(*.f64 #s(approx (+ (* (+ y (/ 1/9 x)) 3) -3) (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))))
Outputs
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) #s(approx (- (+ y (/ 1 (* x 9))) 1) (-.f64 y #s(literal 1 binary64))))
Calls

3 calls:

22.0ms
x
4.0ms
(*.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
57.1%1y
57.1%1x
57.1%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)

regimes10.0ms (0.1%)

Memory
13.0MiB live, 13.0MiB allocated
Counts
8 → 1
Calls
Call 1
Inputs
#s(approx (+ (* (* (+ y (/ 1/9 x)) (sqrt x)) 3) (* -3 (sqrt x))) #s(approx (* (* x 3) (* (- y 1) (sqrt (/ 1 x)))) (*.f64 (sqrt.f64 x) #s(literal -3 binary64))))
#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 (* (* 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)) (sqrt x)) 3) (* -3 (sqrt x))) #s(approx (* (* x 3) (* (- y 1) (sqrt (/ 1 x)))) (*.f64 (fma.f64 y #s(literal -3 binary64) #s(literal 3 binary64)) (sqrt.f64 x))))
#s(approx (+ (* (* (+ y (/ 1/9 x)) (sqrt x)) 3) (* -3 (sqrt x))) #s(approx (+ (* (sqrt (/ 1 x)) 1/3) (* (* 3 (- y 1)) (sqrt x))) (*.f64 (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 x))))
(*.f64 #s(approx (+ (* (+ y (/ 1/9 x)) 3) -3) (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:

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
3.0ms
x
Results
AccuracySegmentsBranch
57.1%1x
57.1%1y
57.1%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)

regimes7.0ms (0.1%)

Memory
9.8MiB live, 9.8MiB allocated
Counts
4 → 3
Calls
Call 1
Inputs
#s(approx (+ (* (* (+ y (/ 1/9 x)) (sqrt x)) 3) (* -3 (sqrt x))) #s(approx (* (* x 3) (* (- y 1) (sqrt (/ 1 x)))) (*.f64 (sqrt.f64 x) #s(literal -3 binary64))))
#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))
Outputs
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64)))
#s(approx (+ (* (* (+ y (/ 1/9 x)) (sqrt x)) 3) (* -3 (sqrt x))) #s(approx (* (* x 3) (* (- y 1) (sqrt (/ 1 x)))) (*.f64 (sqrt.f64 x) #s(literal -3 binary64))))
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 y #s(literal 3 binary64)) (sqrt.f64 x)))
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
54.9%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)))
41.8%3x
56.6%3y
Compiler

Compiled 16 to 16 computations (0% saved)

regimes2.0ms (0%)

Memory
2.9MiB live, 2.9MiB allocated
Counts
2 → 3
Calls
Call 1
Inputs
#s(approx (+ (* (* (+ y (/ 1/9 x)) (sqrt x)) 3) (* -3 (sqrt x))) #s(approx (* (* x 3) (* (- y 1) (sqrt (/ 1 x)))) (*.f64 (sqrt.f64 x) #s(literal -3 binary64))))
#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 (+ (* (* (+ y (/ 1/9 x)) (sqrt x)) 3) (* -3 (sqrt x))) #s(approx (* (* x 3) (* (- y 1) (sqrt (/ 1 x)))) (*.f64 (sqrt.f64 x) #s(literal -3 binary64))))
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 y #s(literal 3 binary64)) (sqrt.f64 x)))
Calls

1 calls:

2.0ms
y
Results
AccuracySegmentsBranch
56.5%3y
Compiler

Compiled 1 to 2 computations (-100% saved)

regimes22.0ms (0.2%)

Memory
-39.1MiB live, 7.5MiB allocated
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

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

3 calls:

18.0ms
x
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
Results
AccuracySegmentsBranch
24.5%1x
24.5%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)))
24.5%1y
Compiler

Compiled 16 to 16 computations (0% saved)

bsearch1.0ms (0%)

Memory
1.2MiB live, 1.2MiB allocated
Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
2.8126830423309208e+152
1.532122514418705e+158
0.0ms
-2.1283210211633603e+37
-4.12659530107403e+35
Compiler

Compiled 17 to 17 computations (0% saved)

bsearch1.0ms (0%)

Memory
1.3MiB live, 1.3MiB allocated
Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
2.8126830423309208e+152
1.532122514418705e+158
0.0ms
-0.051727712822605375
4.186178948416983
Compiler

Compiled 17 to 17 computations (0% saved)

bsearch1.0ms (0%)

Memory
1.0MiB live, 1.0MiB allocated
Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
2.8126830423309208e+152
1.532122514418705e+158
0.0ms
-0.051727712822605375
4.186178948416983
Compiler

Compiled 17 to 17 computations (0% saved)

bsearch32.0ms (0.4%)

Memory
5.7MiB live, 41.1MiB allocated
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
18.0ms
2.088309792444908e-22
7.526757214607492e-18
10.0ms
-2.2188760759357246e-8
-1.9679615727636676e-9
Samples
15.0ms224×0valid
Compiler

Compiled 199 to 241 computations (-21.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 10.0ms
ival-mult: 4.0ms (40.7% of total)
ival-div: 2.0ms (20.3% of total)
ival-sqrt: 2.0ms (20.3% of total)
ival-sub: 1.0ms (10.2% of total)
ival-add: 1.0ms (10.2% 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
2.9MiB live, 2.9MiB allocated
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
1.0ms
2.088309792444908e-22
7.526757214607492e-18
1.0ms
-2.2188760759357246e-8
-1.9679615727636676e-9
Compiler

Compiled 199 to 241 computations (-21.1% saved)

simplify32.0ms (0.4%)

Memory
31.0MiB live, 66.0MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
095618
1121618
2129618
3135618
4143618
5155618
Stop Event
1×saturated
Calls
Call 1
Inputs
#s(approx (+ (* (* (+ y (/ 1/9 x)) (sqrt x)) 3) (* -3 (sqrt x))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64) (*.f64 (*.f64 #s(literal 3 binary64) (-.f64 y #s(literal 1 binary64))) (sqrt.f64 x))))
#s(approx (+ (* (* (+ y (/ 1/9 x)) (sqrt x)) 3) (* -3 (sqrt x))) (fma.f64 (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 x) (/.f64 #s(literal 1 binary64) (*.f64 (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 -19999999999999999077525316404242284544 binary64)) (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) #s(approx (- (+ y (/ 1 (* x 9))) 1) (-.f64 y #s(literal 1 binary64)))) (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 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64)))))
(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 -3602879701896397/72057594037927936 binary64)) (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) #s(approx (- (+ y (/ 1 (* x 9))) 1) (-.f64 y #s(literal 1 binary64)))) (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 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64))) #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64)))))
(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 -3602879701896397/72057594037927936 binary64)) (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) #s(approx (- (+ y (/ 1 (* x 9))) 1) (-.f64 y #s(literal 1 binary64)))) (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 (sqrt.f64 x) #s(approx (+ (* (- 1 y) -3) (/ 1/3 x)) (/.f64 #s(literal 1/3 binary64) x)))) #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 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 (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 x)))
(if (<=.f64 y #s(literal -1662273001970115/75557863725914323419136 binary64)) #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 4867778304876401/649037107316853453566312041152512 binary64)) #s(approx (+ (* (* (+ y (/ 1/9 x)) (sqrt x)) 3) (* -3 (sqrt x))) #s(approx (* (* x 3) (* (- y 1) (sqrt (/ 1 x)))) (*.f64 (sqrt.f64 x) #s(literal -3 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 -1662273001970115/75557863725914323419136 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 4867778304876401/649037107316853453566312041152512 binary64)) #s(approx (+ (* (* (+ y (/ 1/9 x)) (sqrt x)) 3) (* -3 (sqrt x))) #s(approx (* (* x 3) (* (- y 1) (sqrt (/ 1 x)))) (*.f64 (sqrt.f64 x) #s(literal -3 binary64)))) #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 y #s(literal 3 binary64)) (sqrt.f64 x)))))
#s(approx (+ (* (* (+ y (/ 1/9 x)) (sqrt x)) 3) (* -3 (sqrt x))) #s(approx (* (* x 3) (* (- y 1) (sqrt (/ 1 x)))) (*.f64 (sqrt.f64 x) #s(literal -3 binary64))))
Outputs
#s(approx (+ (* (* (+ y (/ 1/9 x)) (sqrt x)) 3) (* -3 (sqrt x))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64) (*.f64 (*.f64 #s(literal 3 binary64) (-.f64 y #s(literal 1 binary64))) (sqrt.f64 x))))
#s(approx (+ (* (* (+ y (/ 1/9 x)) (sqrt x)) 3) (* -3 (sqrt x))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64) (*.f64 (sqrt.f64 x) (*.f64 (-.f64 y #s(literal 1 binary64)) #s(literal 3 binary64)))))
#s(approx (+ (* (* (+ y (/ 1/9 x)) (sqrt x)) 3) (* -3 (sqrt x))) (fma.f64 (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 x) (/.f64 #s(literal 1 binary64) (*.f64 (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 -19999999999999999077525316404242284544 binary64)) (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) #s(approx (- (+ y (/ 1 (* x 9))) 1) (-.f64 y #s(literal 1 binary64)))) (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 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64)))))
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soundness1.5s (17.1%)

Memory
-1.7MiB live, 991.8MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
040246
064198
1263182
22241182
08313179
01664314
15024133
216943688
333603642
081703396
05117194
116096093
258326020
083895659
045221
069221
1229202
21766202
08099192
01234
01934
16628
252128
3647628
0829527
079612
1209585
2666585
32171583
47005583
09266551
053219
077209
1310192
22144192
08822192
Stop Event
1×fuel
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
Compiler

Compiled 494 to 279 computations (43.5% saved)

preprocess180.0ms (2%)

Memory
-5.1MiB live, 193.0MiB allocated
Compiler

Compiled 650 to 190 computations (70.8% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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