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

Time bar (total: 10.8s)

start0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

analyze25.0ms (0.2%)

Memory
-6.5MiB live, 39.3MiB allocated
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
0%0%99.9%0.1%0%0%0%1
50%50%50%0.1%0%0%0%2
50%50%50%0.1%0%0%0%3
66.7%50%25%0.1%0%25%0%4
66.7%50%25%0.1%0%25%0%5
80%50%12.5%0.1%0%37.5%0%6
80%50%12.5%0.1%0%37.5%0%7
88.9%50%6.2%0.1%0%43.7%0%8
88.9%50%6.2%0.1%0%43.7%0%9
94.1%50%3.1%0.1%0%46.8%0%10
94.1%50%3.1%0.1%0%46.8%0%11
97%50%1.6%0.1%0%48.4%0%12
Compiler

Compiled 16 to 14 computations (12.5% saved)

sample1.5s (13.6%)

Memory
47.6MiB live, 1 643.5MiB allocated
Samples
1.1s8 256×0valid
17.0ms268×0invalid
Precisions
Click to see histograms. Total time spent on operations: 699.0ms
ival-mult: 247.0ms (35.3% of total)
ival-div: 139.0ms (19.9% of total)
ival-sqrt: 135.0ms (19.3% of total)
ival-add: 86.0ms (12.3% of total)
ival-sub: 70.0ms (10% of total)
exact: 11.0ms (1.6% of total)
ival-true: 7.0ms (1% of total)
ival-assert: 3.0ms (0.4% of total)
Bogosity

explain120.0ms (1.1%)

Memory
9.1MiB live, 204.8MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
10-0-(/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))
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-#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
40.0ms512×0valid
Compiler

Compiled 118 to 40 computations (66.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 22.0ms
ival-mult: 9.0ms (40.6% of total)
ival-div: 4.0ms (18.1% of total)
ival-sqrt: 4.0ms (18.1% of total)
ival-sub: 2.0ms (9% of total)
ival-add: 2.0ms (9% of total)
exact: 1.0ms (4.5% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess305.0ms (2.8%)

Memory
-11.9MiB live, 136.5MiB allocated
Algorithm
egg-herbie
Rules
3 216×lower-fma.f64
3 216×lower-fma.f32
1 344×lower-*.f32
1 338×lower-*.f64
1 274×unsub-neg
Iterations

Useful iterations: 0 (0.0ms)

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

Compiled 16 to 12 computations (25% saved)

eval0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Compiler

Compiled 2 to 2 computations (0% 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 16 to 12 computations (25% saved)

simplify194.0ms (1.8%)

Memory
-16.7MiB live, 76.2MiB allocated
Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff0
(sqrt.f64 x)
cost-diff0
(*.f64 #s(literal 3 binary64) (sqrt.f64 x))
cost-diff128
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64)))
cost-diff320
(/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))
Rules
3 216×lower-fma.f64
3 216×lower-fma.f32
1 344×lower-*.f32
1 338×lower-*.f64
546×cancel-sign-sub-inv
Iterations

Useful iterations: 0 (0.0ms)

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

localize31.0ms (0.3%)

Memory
-6.2MiB live, 39.7MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0.015625
(+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64))))
accuracy0.23046875
(*.f64 #s(literal 3 binary64) (sqrt.f64 x))
accuracy0.248378759768442
(*.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)))
accuracy0.45043119832070944
(/.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: 6.0ms (48.2% of total)
ival-div: 2.0ms (16.1% of total)
ival-sqrt: 2.0ms (16.1% of total)
ival-sub: 1.0ms (8% of total)
ival-add: 1.0ms (8% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series9.0ms (0.1%)

Memory
12.0MiB live, 12.0MiB 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 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) (patch (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #<representation binary64>) () ())
Outputs
#s(alt (/ 1/9 x) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64))) (patch (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ 1/9 x) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64))) (patch (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ 1/9 x) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64))) (patch (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ 1/9 x) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64))) (patch (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ 1/9 x) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64))) (patch (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ 1/9 x) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64))) (patch (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ 1/9 x) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64))) (patch (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ 1/9 x) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64))) (patch (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ 1/9 x) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64))) (patch (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ 1/9 x) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64))) (patch (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ 1/9 x) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64))) (patch (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ 1/9 x) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64))) (patch (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (sqrt (/ 1 x))) (taylor 0 x) (#s(alt (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) (patch (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) (- y 1)))) x) (taylor 0 x) (#s(alt (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) (patch (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) (- y 1)))) x) (taylor 0 x) (#s(alt (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) (patch (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) (- y 1)))) x) (taylor 0 x) (#s(alt (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) (patch (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 3 (* (sqrt x) (- y 1))) (taylor inf x) (#s(alt (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) (patch (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) (- y 1))))) (taylor inf x) (#s(alt (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) (patch (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) (- y 1))))) (taylor inf x) (#s(alt (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) (patch (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) (- y 1))))) (taylor inf x) (#s(alt (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) (patch (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -3 (* (sqrt x) (* (pow (sqrt -1) 2) (- y 1)))) (taylor -inf x) (#s(alt (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) (patch (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1))))))) (taylor -inf x) (#s(alt (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) (patch (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1))))))) (taylor -inf x) (#s(alt (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) (patch (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1))))))) (taylor -inf x) (#s(alt (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) (patch (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 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 (* 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 (* 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 (* 3 (sqrt x)) (taylor 0 x) (#s(alt (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (patch (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* 3 (sqrt x)) (taylor 0 x) (#s(alt (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (patch (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* 3 (sqrt x)) (taylor 0 x) (#s(alt (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (patch (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* 3 (sqrt x)) (taylor 0 x) (#s(alt (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (patch (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* 3 (sqrt x)) (taylor inf x) (#s(alt (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (patch (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* 3 (sqrt x)) (taylor inf x) (#s(alt (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (patch (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* 3 (sqrt x)) (taylor inf x) (#s(alt (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (patch (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* 3 (sqrt x)) (taylor inf x) (#s(alt (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (patch (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* -3 (* (sqrt x) (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>) () ())) ())
#s(alt (sqrt x) (taylor 0 x) (#s(alt (sqrt.f64 x) (patch (sqrt.f64 x) #<representation binary64>) () ())) ())
#s(alt (sqrt x) (taylor 0 x) (#s(alt (sqrt.f64 x) (patch (sqrt.f64 x) #<representation binary64>) () ())) ())
#s(alt (sqrt x) (taylor 0 x) (#s(alt (sqrt.f64 x) (patch (sqrt.f64 x) #<representation binary64>) () ())) ())
#s(alt (sqrt x) (taylor 0 x) (#s(alt (sqrt.f64 x) (patch (sqrt.f64 x) #<representation binary64>) () ())) ())
#s(alt (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 (* -1 (* (sqrt x) (pow (sqrt -1) 2))) (taylor -inf x) (#s(alt (sqrt.f64 x) (patch (sqrt.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (sqrt x) (pow (sqrt -1) 2))) (taylor -inf x) (#s(alt (sqrt.f64 x) (patch (sqrt.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (sqrt x) (pow (sqrt -1) 2))) (taylor -inf x) (#s(alt (sqrt.f64 x) (patch (sqrt.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (sqrt x) (pow (sqrt -1) 2))) (taylor -inf x) (#s(alt (sqrt.f64 x) (patch (sqrt.f64 x) #<representation binary64>) () ())) ())
#s(alt (/ 1/9 x) (taylor 0 y) (#s(alt (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) (patch (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ y (* 1/9 (/ 1 x))) (taylor 0 y) (#s(alt (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) (patch (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ y (* 1/9 (/ 1 x))) (taylor 0 y) (#s(alt (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) (patch (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ y (* 1/9 (/ 1 x))) (taylor 0 y) (#s(alt (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) (patch (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #<representation binary64>) () ())) ())
#s(alt y (taylor inf y) (#s(alt (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) (patch (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 (* 1/9 (/ 1 (* x y))))) (taylor inf y) (#s(alt (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) (patch (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 (* 1/9 (/ 1 (* x y))))) (taylor inf y) (#s(alt (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) (patch (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 (* 1/9 (/ 1 (* x y))))) (taylor inf y) (#s(alt (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) (patch (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #<representation binary64>) () ())) ())
#s(alt y (taylor -inf y) (#s(alt (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) (patch (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 (* 1/9 (/ 1 (* x y))))) (taylor -inf y) (#s(alt (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) (patch (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 (* 1/9 (/ 1 (* x y))))) (taylor -inf y) (#s(alt (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) (patch (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 (* 1/9 (/ 1 (* x y))))) (taylor -inf y) (#s(alt (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) (patch (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ 1/9 x) (taylor 0 x) (#s(alt (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) (patch (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1/9 (* x y)) x) (taylor 0 x) (#s(alt (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) (patch (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1/9 (* x y)) x) (taylor 0 x) (#s(alt (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) (patch (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1/9 (* x y)) x) (taylor 0 x) (#s(alt (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) (patch (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #<representation binary64>) () ())) ())
#s(alt y (taylor inf x) (#s(alt (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) (patch (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ y (* 1/9 (/ 1 x))) (taylor inf x) (#s(alt (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) (patch (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ y (* 1/9 (/ 1 x))) (taylor inf x) (#s(alt (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) (patch (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ y (* 1/9 (/ 1 x))) (taylor inf x) (#s(alt (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) (patch (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #<representation binary64>) () ())) ())
#s(alt y (taylor -inf x) (#s(alt (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) (patch (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ y (* 1/9 (/ 1 x))) (taylor -inf x) (#s(alt (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) (patch (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ y (* 1/9 (/ 1 x))) (taylor -inf x) (#s(alt (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) (patch (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ y (* 1/9 (/ 1 x))) (taylor -inf x) (#s(alt (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) (patch (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #<representation binary64>) () ())) ())
Calls

21 calls:

TimeVariablePointExpression
1.0ms
x
@0
(* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1))
1.0ms
y
@0
(* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1))
1.0ms
x
@-inf
(* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1))
1.0ms
x
@-inf
(* 3 (sqrt x))
0.0ms
y
@inf
(* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1))

simplify264.0ms (2.4%)

Memory
9.6MiB live, 193.9MiB allocated
Algorithm
egg-herbie
Rules
9 212×lower-fma.f64
9 212×lower-fma.f32
4 246×lower-*.f64
4 246×lower-*.f32
2 696×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
072570
1195543
2610543
32210541
46078541
08442509
Stop Event
iter limit
node limit
Counts
84 → 80
Calls
Call 1
Inputs
(/ 1/9 x)
(/ 1/9 x)
(/ 1/9 x)
(/ 1/9 x)
(/ 1/9 x)
(/ 1/9 x)
(/ 1/9 x)
(/ 1/9 x)
(/ 1/9 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) (- 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) (* (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) (- (* 1/9 (/ 1 x)) 1)))
(+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1))))
(+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1))))
(+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1))))
(* 3 (* (sqrt x) y))
(* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))
(* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))
(* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))
(* 3 (* (sqrt x) y))
(* -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))
(* 3 (sqrt x))
(* 3 (sqrt x))
(* 3 (sqrt x))
(* 3 (sqrt x))
(* 3 (sqrt x))
(* 3 (sqrt x))
(* 3 (sqrt 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)))
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(* -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)))
(/ 1/9 x)
(+ y (* 1/9 (/ 1 x)))
(+ y (* 1/9 (/ 1 x)))
(+ y (* 1/9 (/ 1 x)))
y
(* y (+ 1 (* 1/9 (/ 1 (* x y)))))
(* y (+ 1 (* 1/9 (/ 1 (* x y)))))
(* y (+ 1 (* 1/9 (/ 1 (* x y)))))
y
(* y (+ 1 (* 1/9 (/ 1 (* x y)))))
(* y (+ 1 (* 1/9 (/ 1 (* x y)))))
(* y (+ 1 (* 1/9 (/ 1 (* x y)))))
(/ 1/9 x)
(/ (+ 1/9 (* x y)) x)
(/ (+ 1/9 (* x y)) x)
(/ (+ 1/9 (* x y)) x)
y
(+ y (* 1/9 (/ 1 x)))
(+ y (* 1/9 (/ 1 x)))
(+ y (* 1/9 (/ 1 x)))
y
(+ y (* 1/9 (/ 1 x)))
(+ y (* 1/9 (/ 1 x)))
(+ y (* 1/9 (/ 1 x)))
Outputs
(/ 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)
(/ 1/9 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)
(/ 1/9 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 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) (- y 1)))) x)
(/.f64 (fma.f64 (sqrt.f64 (*.f64 x (*.f64 x x))) (fma.f64 #s(literal 3 binary64) y #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 (sqrt.f64 (*.f64 x (*.f64 x x))) (fma.f64 #s(literal 3 binary64) y #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 (sqrt.f64 (*.f64 x (*.f64 x x))) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) x)
(* 3 (* (sqrt x) (- y 1)))
(*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)))
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) (- y 1)))))
(*.f64 x (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)))))
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) (- y 1)))))
(*.f64 x (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)))))
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) (- y 1)))))
(*.f64 x (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)))))
(* -3 (* (sqrt x) (* (pow (sqrt -1) 2) (- y 1))))
(*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)))
(* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1)))))))
(*.f64 x (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)))))
(* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1)))))))
(*.f64 x (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)))))
(* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1)))))))
(*.f64 x (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)))))
(* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1)))
(*.f64 (sqrt.f64 x) (+.f64 #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 #s(literal 3 binary64) y (+.f64 #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 #s(literal 3 binary64) y (+.f64 #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 #s(literal 3 binary64) y (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))))
(* 3 (* (sqrt x) y))
(*.f64 y (*.f64 (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 #s(literal 3 binary64) y (+.f64 #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 #s(literal 3 binary64) y (+.f64 #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 #s(literal 3 binary64) y (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))))
(* 3 (* (sqrt x) y))
(*.f64 y (*.f64 (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 #s(literal 3 binary64) y (+.f64 #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 #s(literal 3 binary64) y (+.f64 #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 #s(literal 3 binary64) y (+.f64 #s(literal -3 binary64) (/.f64 #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))
(* 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))
(* -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))
(sqrt x)
(sqrt.f64 x)
(sqrt x)
(sqrt.f64 x)
(sqrt x)
(sqrt.f64 x)
(sqrt x)
(sqrt.f64 x)
(sqrt x)
(sqrt.f64 x)
(sqrt x)
(sqrt.f64 x)
(sqrt x)
(sqrt.f64 x)
(sqrt x)
(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)
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(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))
y
(* y (+ 1 (* 1/9 (/ 1 (* x y)))))
(+.f64 y (/.f64 #s(literal 1/9 binary64) x))
(* y (+ 1 (* 1/9 (/ 1 (* x y)))))
(+.f64 y (/.f64 #s(literal 1/9 binary64) x))
(* y (+ 1 (* 1/9 (/ 1 (* x y)))))
(+.f64 y (/.f64 #s(literal 1/9 binary64) x))
y
(* y (+ 1 (* 1/9 (/ 1 (* x y)))))
(+.f64 y (/.f64 #s(literal 1/9 binary64) x))
(* y (+ 1 (* 1/9 (/ 1 (* x y)))))
(+.f64 y (/.f64 #s(literal 1/9 binary64) x))
(* y (+ 1 (* 1/9 (/ 1 (* x y)))))
(+.f64 y (/.f64 #s(literal 1/9 binary64) x))
(/ 1/9 x)
(/.f64 #s(literal 1/9 binary64) x)
(/ (+ 1/9 (* x y)) x)
(/.f64 (fma.f64 x y #s(literal 1/9 binary64)) x)
(/ (+ 1/9 (* x y)) x)
(/.f64 (fma.f64 x y #s(literal 1/9 binary64)) x)
(/ (+ 1/9 (* x y)) x)
(/.f64 (fma.f64 x y #s(literal 1/9 binary64)) x)
y
(+ y (* 1/9 (/ 1 x)))
(+.f64 y (/.f64 #s(literal 1/9 binary64) x))
(+ y (* 1/9 (/ 1 x)))
(+.f64 y (/.f64 #s(literal 1/9 binary64) x))
(+ y (* 1/9 (/ 1 x)))
(+.f64 y (/.f64 #s(literal 1/9 binary64) x))
y
(+ y (* 1/9 (/ 1 x)))
(+.f64 y (/.f64 #s(literal 1/9 binary64) x))
(+ y (* 1/9 (/ 1 x)))
(+.f64 y (/.f64 #s(literal 1/9 binary64) x))
(+ y (* 1/9 (/ 1 x)))
(+.f64 y (/.f64 #s(literal 1/9 binary64) x))

rewrite525.0ms (4.8%)

Memory
-4.5MiB live, 233.6MiB allocated
Rules
5 628×lower-fma.f64
5 628×lower-fma.f32
4 000×lower-*.f32
3 994×lower-*.f64
2 686×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01232
01932
16626
252126
3647626
0829525
Stop Event
iter limit
node limit
iter limit
Counts
5 → 202
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 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64))))
Outputs
(exp.f64 (neg.f64 (log.f64 (*.f64 x #s(literal 9 binary64)))))
(exp.f64 (*.f64 (log.f64 (*.f64 x (*.f64 x #s(literal 81 binary64)))) #s(literal -1/2 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (log.f64 (*.f64 x #s(literal 9 binary64)))) #s(literal 2 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal -1/9 binary64) x))
(neg.f64 (/.f64 #s(literal -1/9 binary64) x))
(/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))
(/.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (*.f64 x #s(literal -9 binary64)))
(/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 9 binary64))
(/.f64 #s(literal 1/9 binary64) x)
(/.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -9 binary64))
(/.f64 #s(literal -1/9 binary64) (neg.f64 x))
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)) #s(literal -9 binary64))
(pow.f64 (*.f64 x #s(literal 9 binary64)) #s(literal -1 binary64))
(pow.f64 (*.f64 x (*.f64 x #s(literal 81 binary64))) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 (*.f64 x #s(literal 9 binary64)) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x))
(*.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/9 binary64) x))
(*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/9 binary64))
(*.f64 #s(literal 1/9 binary64) (/.f64 #s(literal 1 binary64) x))
(*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1/9 binary64))
(*.f64 (/.f64 #s(literal -1/9 binary64) x) #s(literal -1 binary64))
(*.f64 (pow.f64 (*.f64 x #s(literal 9 binary64)) #s(literal -1/2 binary64)) (pow.f64 (*.f64 x #s(literal 9 binary64)) #s(literal -1/2 binary64)))
(*.f64 (*.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x #s(literal 9 binary64)) #s(literal -1/2 binary64))) (pow.f64 (*.f64 x #s(literal 9 binary64)) #s(literal -1/2 binary64)))
(+.f64 (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) y) (*.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)))))
(+.f64 (*.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y))) (*.f64 (sqrt.f64 x) #s(literal -3 binary64)))
(+.f64 (*.f64 (sqrt.f64 x) #s(literal -3 binary64)) (*.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y))))
(+.f64 (*.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)))) (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) y))
(+.f64 (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1/9 binary64) x)) (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (+.f64 y #s(literal -1 binary64))))
(+.f64 (*.f64 (/.f64 #s(literal 1/9 binary64) x) (*.f64 #s(literal 3 binary64) (sqrt.f64 x))) (*.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
(fma.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y))) (*.f64 (sqrt.f64 x) #s(literal -3 binary64)))
(fma.f64 (/.f64 #s(literal 1/9 binary64) x) (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (*.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
(fma.f64 #s(literal 3 binary64) (*.f64 (sqrt.f64 x) y) (*.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)))))
(fma.f64 #s(literal 3 binary64) (*.f64 (sqrt.f64 x) (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64))) (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) y))
(fma.f64 #s(literal 3 binary64) (*.f64 (sqrt.f64 x) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y)) (*.f64 (sqrt.f64 x) #s(literal -3 binary64)))
(fma.f64 #s(literal 3 binary64) (neg.f64 (sqrt.f64 x)) (*.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y))))
(fma.f64 (sqrt.f64 x) #s(literal -3 binary64) (*.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y))))
(fma.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) y) (*.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)))))
(fma.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64))) (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) y))
(fma.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y)) (*.f64 (sqrt.f64 x) #s(literal -3 binary64)))
(fma.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1/9 binary64) x) (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (+.f64 y #s(literal -1 binary64))))
(fma.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) y (*.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)))))
(fma.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) (*.f64 (sqrt.f64 x) #s(literal -3 binary64)))
(fma.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) #s(literal -1 binary64) (*.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y))))
(fma.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)) (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) y))
(fma.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (*.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)))))
(fma.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (*.f64 (sqrt.f64 x) #s(literal -3 binary64)))
(fma.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) (*.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (sqrt.f64 x))) (*.f64 (sqrt.f64 x) #s(literal -3 binary64)))
(fma.f64 #s(literal -1 binary64) (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (*.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y))))
(fma.f64 (fma.f64 y (*.f64 y y) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x #s(literal 9 binary64)) (*.f64 x (*.f64 x #s(literal 81 binary64)))))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 1/9 binary64) x) (-.f64 (/.f64 #s(literal 1/9 binary64) x) y) (*.f64 y y))) (*.f64 #s(literal 3 binary64) (sqrt.f64 x))) (*.f64 (sqrt.f64 x) #s(literal -3 binary64)))
(fma.f64 (fma.f64 y y (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -81 binary64))))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 y (/.f64 #s(literal -1/9 binary64) x))) (*.f64 #s(literal 3 binary64) (sqrt.f64 x))) (*.f64 (sqrt.f64 x) #s(literal -3 binary64)))
(fma.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)) (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) y))
(fma.f64 #s(literal -3 binary64) (sqrt.f64 x) (*.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y))))
(fma.f64 (*.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y))) #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal -3 binary64)))
(fma.f64 (*.f64 (sqrt.f64 x) y) #s(literal 3 binary64) (*.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)))))
(fma.f64 (*.f64 (sqrt.f64 x) (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64))) #s(literal 3 binary64) (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) y))
(fma.f64 (*.f64 (sqrt.f64 x) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y)) #s(literal 3 binary64) (*.f64 (sqrt.f64 x) #s(literal -3 binary64)))
(fma.f64 (neg.f64 (sqrt.f64 x)) #s(literal 3 binary64) (*.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y))))
(fma.f64 (*.f64 y #s(literal 3 binary64)) (sqrt.f64 x) (*.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)))))
(fma.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)) #s(literal 3 binary64)) (sqrt.f64 x) (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) y))
(fma.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal 3 binary64)) (sqrt.f64 x) (*.f64 (sqrt.f64 x) #s(literal -3 binary64)))
(fma.f64 (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) (*.f64 (sqrt.f64 x) #s(literal -3 binary64)))
(fma.f64 (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (fma.f64 y (*.f64 y y) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x #s(literal 9 binary64)) (*.f64 x (*.f64 x #s(literal 81 binary64))))))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 1/9 binary64) x) (-.f64 (/.f64 #s(literal 1/9 binary64) x) y) (*.f64 y y))) (*.f64 (sqrt.f64 x) #s(literal -3 binary64)))
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(*.f64 (neg.f64 (fma.f64 y y (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -81 binary64)))))) (/.f64 #s(literal 1 binary64) (+.f64 (neg.f64 y) (/.f64 #s(literal 1/9 binary64) x))))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 1/9 binary64) x) (-.f64 (/.f64 #s(literal 1/9 binary64) x) y) (*.f64 y y))) (fma.f64 y (*.f64 y y) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x #s(literal 9 binary64)) (*.f64 x (*.f64 x #s(literal 81 binary64)))))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 y (/.f64 #s(literal -1/9 binary64) x))) (fma.f64 y y (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -81 binary64))))))
(*.f64 (-.f64 (/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x #s(literal -81 binary64)))) (*.f64 y y)) (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1/9 binary64) x) y)))
(*.f64 (/.f64 (fma.f64 y y (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -81 binary64))))) (fma.f64 y y (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -81 binary64)))))) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y))
(*.f64 (/.f64 (fma.f64 y (*.f64 y y) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x #s(literal 9 binary64)) (*.f64 x (*.f64 x #s(literal 81 binary64)))))) (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) y) (*.f64 x #s(literal 9 binary64))) (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x #s(literal -81 binary64)))) (*.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) y) (-.f64 (/.f64 #s(literal 1/9 binary64) x) y))) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))))) (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) y) (*.f64 x #s(literal 9 binary64))) (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) y) (*.f64 x #s(literal 9 binary64))) (*.f64 y y)) (*.f64 y (*.f64 y (*.f64 y y)))))
(*.f64 (/.f64 (fma.f64 y (*.f64 y y) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x #s(literal 9 binary64)) (*.f64 x (*.f64 x #s(literal 81 binary64)))))) (-.f64 (*.f64 y (*.f64 y (*.f64 y y))) (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x #s(literal -81 binary64)))) (*.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) y) (-.f64 (/.f64 #s(literal 1/9 binary64) x) y))))) (fma.f64 y y (*.f64 (/.f64 #s(literal -1/9 binary64) x) (-.f64 (/.f64 #s(literal 1/9 binary64) x) y))))
(*.f64 (/.f64 (fma.f64 y y (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -81 binary64))))) (-.f64 (*.f64 y (*.f64 y y)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x #s(literal 9 binary64)) (*.f64 x (*.f64 x #s(literal 81 binary64))))))) (fma.f64 (/.f64 #s(literal 1/9 binary64) x) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) (*.f64 y y)))

eval92.0ms (0.8%)

Memory
22.7MiB live, 64.0MiB allocated
Compiler

Compiled 6 680 to 748 computations (88.8% saved)

prune138.0ms (1.3%)

Memory
5.4MiB live, 95.8MiB allocated
Pruning

18 alts after pruning (17 fresh and 1 done)

PrunedKeptTotal
New26517282
Fresh000
Picked011
Done000
Total26518283
Accuracy
100.0%
Counts
283 → 18
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.4%
(fma.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)) #s(literal 3 binary64)) (sqrt.f64 x) (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) y))
99.4%
(fma.f64 (sqrt.f64 x) #s(literal -3 binary64) (*.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y))))
99.4%
(*.f64 (fma.f64 #s(literal 3 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal -3 binary64)) (sqrt.f64 x))
99.0%
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (*.f64 (pow.f64 x #s(literal 1/4 binary64)) (fma.f64 #s(literal 3 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal -3 binary64))))
99.4%
(*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) (+.f64 y #s(literal -1 binary64))) (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))
99.4%
(*.f64 (*.f64 (sqrt.f64 x) (+.f64 (/.f64 #s(literal 1/9 binary64) x) (+.f64 y #s(literal -1 binary64)))) #s(literal 3 binary64))
68.1%
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (/.f64 (fma.f64 y y (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -81 binary64))))) (+.f64 y (/.f64 #s(literal -1/9 binary64) x))) #s(literal 1 binary64)))
99.3%
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (pow.f64 (pow.f64 (*.f64 x #s(literal 9 binary64)) #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 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64)))
95.0%
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 #s(approx (+ y (/ 1 (* x 9))) (/.f64 (fma.f64 x y #s(literal 1/9 binary64)) x)) #s(literal 1 binary64)))
69.4%
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 #s(approx (+ y (/ 1 (* x 9))) (/.f64 #s(literal 1/9 binary64) x)) #s(literal 1 binary64)))
69.0%
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (/.f64 (fma.f64 (sqrt.f64 (*.f64 x (*.f64 x x))) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) x))
99.4%
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)))))
54.9%
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))))
69.4%
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 x) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))))
31.4%
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64))))
63.5%
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 x (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))))))
44.9%
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
Compiler

Compiled 540 to 386 computations (28.5% saved)

simplify375.0ms (3.5%)

Memory
-38.3MiB live, 124.8MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))
cost-diff0
(fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))))
cost-diff0
(*.f64 x (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)))))
cost-diff0
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 x (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))))))
cost-diff0
(-.f64 #s(approx (+ y (/ 1 (* x 9))) (/.f64 (fma.f64 x y #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-diff128
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 #s(approx (+ y (/ 1 (* x 9))) (/.f64 (fma.f64 x y #s(literal 1/9 binary64)) x)) #s(literal 1 binary64)))
cost-diff0
(-.f64 #s(approx (+ y (/ 1 (* x 9))) (/.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-diff128
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 #s(approx (+ y (/ 1 (* x 9))) (/.f64 #s(literal 1/9 binary64) x)) #s(literal 1 binary64)))
cost-diff0
(sqrt.f64 x)
cost-diff0
(*.f64 (sqrt.f64 x) #s(literal 3 binary64))
cost-diff0
(*.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64)))
cost-diff0
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64))))
cost-diff0
(+.f64 y #s(literal -1 binary64))
cost-diff0
(/.f64 #s(literal 1/9 binary64) x)
cost-diff0
(+.f64 (/.f64 #s(literal 1/9 binary64) x) (+.f64 y #s(literal -1 binary64)))
cost-diff128
(*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) (+.f64 y #s(literal -1 binary64))) (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))
Rules
6 392×lower-fma.f32
6 386×lower-fma.f64
3 032×lower-*.f32
3 012×lower-*.f64
1 194×lower--.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
044324
071312
1126296
2284296
3536293
4703293
5962293
61634293
72684293
84345293
95914293
106522293
116973293
127272293
137649293
08030291
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) (+.f64 y #s(literal -1 binary64))) (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))
(+.f64 (/.f64 #s(literal 1/9 binary64) x) (+.f64 y #s(literal -1 binary64)))
(/.f64 #s(literal 1/9 binary64) x)
#s(literal 1/9 binary64)
x
(+.f64 y #s(literal -1 binary64))
y
#s(literal -1 binary64)
(*.f64 #s(literal 3 binary64) (sqrt.f64 x))
#s(literal 3 binary64)
(sqrt.f64 x)
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 y (*.f64 (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))
(sqrt.f64 x)
x
#s(literal 3 binary64)
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 #s(approx (+ y (/ 1 (* x 9))) (/.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
(-.f64 #s(approx (+ y (/ 1 (* x 9))) (/.f64 #s(literal 1/9 binary64) x)) #s(literal 1 binary64))
#s(approx (+ y (/ 1 (* x 9))) (/.f64 #s(literal 1/9 binary64) x))
(/.f64 #s(literal 1/9 binary64) x)
#s(literal 1/9 binary64)
#s(literal 1 binary64)
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 #s(approx (+ y (/ 1 (* x 9))) (/.f64 (fma.f64 x y #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
(-.f64 #s(approx (+ y (/ 1 (* x 9))) (/.f64 (fma.f64 x y #s(literal 1/9 binary64)) x)) #s(literal 1 binary64))
#s(approx (+ y (/ 1 (* x 9))) (/.f64 (fma.f64 x y #s(literal 1/9 binary64)) x))
(/.f64 (fma.f64 x y #s(literal 1/9 binary64)) x)
(fma.f64 x y #s(literal 1/9 binary64))
y
#s(literal 1/9 binary64)
#s(literal 1 binary64)
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 x (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))))))
(*.f64 x (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)))))
x
(fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))))
#s(literal 1/3 binary64)
(sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))
#s(literal 1 binary64)
(*.f64 x (*.f64 x x))
(*.f64 x x)
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) 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)
(fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))
#s(literal 3 binary64)
y
#s(literal -3 binary64)
Outputs
(*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) (+.f64 y #s(literal -1 binary64))) (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))
(*.f64 (sqrt.f64 x) (-.f64 #s(literal -3 binary64) (fma.f64 y #s(literal -3 binary64) (/.f64 #s(literal -1/3 binary64) x))))
(+.f64 (/.f64 #s(literal 1/9 binary64) x) (+.f64 y #s(literal -1 binary64)))
(+.f64 y (+.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
(+.f64 y #s(literal -1 binary64))
y
#s(literal -1 binary64)
(*.f64 #s(literal 3 binary64) (sqrt.f64 x))
#s(literal 3 binary64)
(sqrt.f64 x)
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64))))
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
(*.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64)))
(*.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))
y
(*.f64 (sqrt.f64 x) #s(literal 3 binary64))
(*.f64 #s(literal 3 binary64) (sqrt.f64 x))
(sqrt.f64 x)
x
#s(literal 3 binary64)
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 #s(approx (+ y (/ 1 (* x 9))) (/.f64 #s(literal 1/9 binary64) x)) #s(literal 1 binary64)))
(*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) #s(approx (+ y (/ 1 (* x 9))) (/.f64 #s(literal 1/9 binary64) x)) #s(literal -3 binary64)))
(*.f64 #s(literal 3 binary64) (sqrt.f64 x))
#s(literal 3 binary64)
(sqrt.f64 x)
x
(-.f64 #s(approx (+ y (/ 1 (* x 9))) (/.f64 #s(literal 1/9 binary64) x)) #s(literal 1 binary64))
(+.f64 #s(literal -1 binary64) #s(approx (+ y (/ 1 (* x 9))) (/.f64 #s(literal 1/9 binary64) x)))
#s(approx (+ y (/ 1 (* x 9))) (/.f64 #s(literal 1/9 binary64) x))
(/.f64 #s(literal 1/9 binary64) x)
#s(literal 1/9 binary64)
#s(literal 1 binary64)
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 #s(approx (+ y (/ 1 (* x 9))) (/.f64 (fma.f64 x y #s(literal 1/9 binary64)) x)) #s(literal 1 binary64)))
(*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) #s(approx (+ y (/ 1 (* x 9))) (/.f64 (fma.f64 x y #s(literal 1/9 binary64)) x)) #s(literal -3 binary64)))
(*.f64 #s(literal 3 binary64) (sqrt.f64 x))
#s(literal 3 binary64)
(sqrt.f64 x)
x
(-.f64 #s(approx (+ y (/ 1 (* x 9))) (/.f64 (fma.f64 x y #s(literal 1/9 binary64)) x)) #s(literal 1 binary64))
(+.f64 #s(literal -1 binary64) #s(approx (+ y (/ 1 (* x 9))) (/.f64 (fma.f64 x y #s(literal 1/9 binary64)) x)))
#s(approx (+ y (/ 1 (* x 9))) (/.f64 (fma.f64 x y #s(literal 1/9 binary64)) x))
(/.f64 (fma.f64 x y #s(literal 1/9 binary64)) x)
(fma.f64 x y #s(literal 1/9 binary64))
y
#s(literal 1/9 binary64)
#s(literal 1 binary64)
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 x (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))))))
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 x (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64))))))
(*.f64 x (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)))))
(*.f64 x (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)))))
x
(fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))))
(fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64))))
#s(literal 1/3 binary64)
(sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))
#s(literal 1 binary64)
(*.f64 x (*.f64 x x))
(*.f64 x x)
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) x)
(fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))
(fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64))
#s(literal 3 binary64)
y
#s(literal -3 binary64)

localize176.0ms (1.6%)

Memory
22.2MiB live, 165.9MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.4254259879010571
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))
accuracy1.8220830775591814
(fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))))
accuracy11.89817937750882
(*.f64 x (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)))))
accuracy18.983481495324394
(sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))
accuracy0.0234375
(fma.f64 x y #s(literal 1/9 binary64))
accuracy0.23046875
(*.f64 #s(literal 3 binary64) (sqrt.f64 x))
accuracy0.248378759768442
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 #s(approx (+ y (/ 1 (* x 9))) (/.f64 (fma.f64 x y #s(literal 1/9 binary64)) x)) #s(literal 1 binary64)))
accuracy5.213103513806521
(/.f64 (fma.f64 x y #s(literal 1/9 binary64)) x)
accuracy0.23046875
(*.f64 #s(literal 3 binary64) (sqrt.f64 x))
accuracy0.248378759768442
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 #s(approx (+ y (/ 1 (* x 9))) (/.f64 #s(literal 1/9 binary64) x)) #s(literal 1 binary64)))
accuracy0.359375
(/.f64 #s(literal 1/9 binary64) x)
accuracy26.70131990442987
#s(approx (+ y (/ 1 (* x 9))) (/.f64 #s(literal 1/9 binary64) x))
accuracy0
(sqrt.f64 x)
accuracy0.21875
(*.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64)))
accuracy0.23046875
(*.f64 (sqrt.f64 x) #s(literal 3 binary64))
accuracy43.824173661245936
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64))))
accuracy0.01171875
(+.f64 (/.f64 #s(literal 1/9 binary64) x) (+.f64 y #s(literal -1 binary64)))
accuracy0.23046875
(*.f64 #s(literal 3 binary64) (sqrt.f64 x))
accuracy0.248378759768442
(*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) (+.f64 y #s(literal -1 binary64))) (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))
accuracy0.359375
(/.f64 #s(literal 1/9 binary64) x)
Samples
66.0ms241×0valid
28.0ms2valid
5.0ms10×1valid
Compiler

Compiled 272 to 39 computations (85.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 78.0ms
ival-sqrt: 31.0ms (39.7% of total)
ival-mult: 18.0ms (23.1% of total)
ival-div: 13.0ms (16.7% of total)
ival-add: 7.0ms (9% of total)
const: 7.0ms (9% of total)
adjust: 1.0ms (1.3% of total)
ival-sub: 1.0ms (1.3% of total)
exact: 1.0ms (1.3% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series68.0ms (0.6%)

Memory
13.7MiB live, 57.5MiB allocated
Counts
21 → 420
Calls
Call 1
Inputs
#s(alt (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) (+.f64 y #s(literal -1 binary64))) (*.f64 #s(literal 3 binary64) (sqrt.f64 x))) (patch (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) (+.f64 y #s(literal -1 binary64))) (*.f64 #s(literal 3 binary64) (sqrt.f64 x))) #<representation binary64>) () ())
#s(alt (+.f64 (/.f64 #s(literal 1/9 binary64) x) (+.f64 y #s(literal -1 binary64))) (patch (+.f64 (/.f64 #s(literal 1/9 binary64) x) (+.f64 y #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 y #s(literal -1 binary64)) (patch (+.f64 y #s(literal -1 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64)))) (patch #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 y (*.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>) () ())
#s(alt (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) (patch (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) #<representation binary64>) () ())
#s(alt (sqrt.f64 x) (patch (sqrt.f64 x) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 #s(approx (+ y (/ 1 (* x 9))) (/.f64 #s(literal 1/9 binary64) x)) #s(literal 1 binary64))) (patch (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 #s(approx (+ y (/ 1 (* x 9))) (/.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 (-.f64 #s(approx (+ y (/ 1 (* x 9))) (/.f64 #s(literal 1/9 binary64) x)) #s(literal 1 binary64)) (patch (-.f64 #s(approx (+ y (/ 1 (* x 9))) (/.f64 #s(literal 1/9 binary64) x)) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 #s(approx (+ y (/ 1 (* x 9))) (/.f64 (fma.f64 x y #s(literal 1/9 binary64)) x)) #s(literal 1 binary64))) (patch (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 #s(approx (+ y (/ 1 (* x 9))) (/.f64 (fma.f64 x y #s(literal 1/9 binary64)) x)) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (-.f64 #s(approx (+ y (/ 1 (* x 9))) (/.f64 (fma.f64 x y #s(literal 1/9 binary64)) x)) #s(literal 1 binary64)) (patch (-.f64 #s(approx (+ y (/ 1 (* x 9))) (/.f64 (fma.f64 x y #s(literal 1/9 binary64)) x)) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 x (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)))))) (patch #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 x (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)))))) #<representation binary64>) () ())
#s(alt (*.f64 x (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))))) (patch (*.f64 x (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))))) #<representation binary64>) () ())
#s(alt (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)))) (patch (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)))) #<representation binary64>) () ())
#s(alt (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (patch (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) #<representation binary64>) () ())
#s(alt #s(approx (+ y (/ 1 (* x 9))) (/.f64 #s(literal 1/9 binary64) x)) (patch #s(approx (+ y (/ 1 (* x 9))) (/.f64 #s(literal 1/9 binary64) x)) #<representation binary64>) () ())
#s(alt (/.f64 (fma.f64 x y #s(literal 1/9 binary64)) x) (patch (/.f64 (fma.f64 x y #s(literal 1/9 binary64)) x) #<representation binary64>) () ())
#s(alt (fma.f64 x y #s(literal 1/9 binary64)) (patch (fma.f64 x y #s(literal 1/9 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (patch (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) #<representation binary64>) () ())
Outputs
#s(alt (* 1/3 (sqrt (/ 1 x))) (taylor 0 x) (#s(alt (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) (+.f64 y #s(literal -1 binary64))) (*.f64 #s(literal 3 binary64) (sqrt.f64 x))) (patch (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) (+.f64 y #s(literal -1 binary64))) (*.f64 #s(literal 3 binary64) (sqrt.f64 x))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) (- y 1)))) x) (taylor 0 x) (#s(alt (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) (+.f64 y #s(literal -1 binary64))) (*.f64 #s(literal 3 binary64) (sqrt.f64 x))) (patch (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) (+.f64 y #s(literal -1 binary64))) (*.f64 #s(literal 3 binary64) (sqrt.f64 x))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) (- y 1)))) x) (taylor 0 x) (#s(alt (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) (+.f64 y #s(literal -1 binary64))) (*.f64 #s(literal 3 binary64) (sqrt.f64 x))) (patch (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) (+.f64 y #s(literal -1 binary64))) (*.f64 #s(literal 3 binary64) (sqrt.f64 x))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) (- y 1)))) x) (taylor 0 x) (#s(alt (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) (+.f64 y #s(literal -1 binary64))) (*.f64 #s(literal 3 binary64) (sqrt.f64 x))) (patch (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) (+.f64 y #s(literal -1 binary64))) (*.f64 #s(literal 3 binary64) (sqrt.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* 3 (* (sqrt x) (- y 1))) (taylor inf x) (#s(alt (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) (+.f64 y #s(literal -1 binary64))) (*.f64 #s(literal 3 binary64) (sqrt.f64 x))) (patch (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) (+.f64 y #s(literal -1 binary64))) (*.f64 #s(literal 3 binary64) (sqrt.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) (- y 1))))) (taylor inf x) (#s(alt (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) (+.f64 y #s(literal -1 binary64))) (*.f64 #s(literal 3 binary64) (sqrt.f64 x))) (patch (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) (+.f64 y #s(literal -1 binary64))) (*.f64 #s(literal 3 binary64) (sqrt.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) (- y 1))))) (taylor inf x) (#s(alt (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) (+.f64 y #s(literal -1 binary64))) (*.f64 #s(literal 3 binary64) (sqrt.f64 x))) (patch (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) (+.f64 y #s(literal -1 binary64))) (*.f64 #s(literal 3 binary64) (sqrt.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) (- y 1))))) (taylor inf x) (#s(alt (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) (+.f64 y #s(literal -1 binary64))) (*.f64 #s(literal 3 binary64) (sqrt.f64 x))) (patch (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) (+.f64 y #s(literal -1 binary64))) (*.f64 #s(literal 3 binary64) (sqrt.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* -3 (* (sqrt x) (* (pow (sqrt -1) 2) (- y 1)))) (taylor -inf x) (#s(alt (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) (+.f64 y #s(literal -1 binary64))) (*.f64 #s(literal 3 binary64) (sqrt.f64 x))) (patch (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) (+.f64 y #s(literal -1 binary64))) (*.f64 #s(literal 3 binary64) (sqrt.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1))))))) (taylor -inf x) (#s(alt (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) (+.f64 y #s(literal -1 binary64))) (*.f64 #s(literal 3 binary64) (sqrt.f64 x))) (patch (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) (+.f64 y #s(literal -1 binary64))) (*.f64 #s(literal 3 binary64) (sqrt.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1))))))) (taylor -inf x) (#s(alt (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) (+.f64 y #s(literal -1 binary64))) (*.f64 #s(literal 3 binary64) (sqrt.f64 x))) (patch (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) (+.f64 y #s(literal -1 binary64))) (*.f64 #s(literal 3 binary64) (sqrt.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1))))))) (taylor -inf x) (#s(alt (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) (+.f64 y #s(literal -1 binary64))) (*.f64 #s(literal 3 binary64) (sqrt.f64 x))) (patch (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) (+.f64 y #s(literal -1 binary64))) (*.f64 #s(literal 3 binary64) (sqrt.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1))) (taylor 0 y) (#s(alt (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) (+.f64 y #s(literal -1 binary64))) (*.f64 #s(literal 3 binary64) (sqrt.f64 x))) (patch (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) (+.f64 y #s(literal -1 binary64))) (*.f64 #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 (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) (+.f64 y #s(literal -1 binary64))) (*.f64 #s(literal 3 binary64) (sqrt.f64 x))) (patch (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) (+.f64 y #s(literal -1 binary64))) (*.f64 #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 (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) (+.f64 y #s(literal -1 binary64))) (*.f64 #s(literal 3 binary64) (sqrt.f64 x))) (patch (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) (+.f64 y #s(literal -1 binary64))) (*.f64 #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 (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) (+.f64 y #s(literal -1 binary64))) (*.f64 #s(literal 3 binary64) (sqrt.f64 x))) (patch (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) (+.f64 y #s(literal -1 binary64))) (*.f64 #s(literal 3 binary64) (sqrt.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* 3 (* (sqrt x) y)) (taylor inf y) (#s(alt (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) (+.f64 y #s(literal -1 binary64))) (*.f64 #s(literal 3 binary64) (sqrt.f64 x))) (patch (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) (+.f64 y #s(literal -1 binary64))) (*.f64 #s(literal 3 binary64) (sqrt.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))) (taylor inf y) (#s(alt (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) (+.f64 y #s(literal -1 binary64))) (*.f64 #s(literal 3 binary64) (sqrt.f64 x))) (patch (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) (+.f64 y #s(literal -1 binary64))) (*.f64 #s(literal 3 binary64) (sqrt.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))) (taylor inf y) (#s(alt (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) (+.f64 y #s(literal -1 binary64))) (*.f64 #s(literal 3 binary64) (sqrt.f64 x))) (patch (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) (+.f64 y #s(literal -1 binary64))) (*.f64 #s(literal 3 binary64) (sqrt.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))) (taylor inf y) (#s(alt (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) (+.f64 y #s(literal -1 binary64))) (*.f64 #s(literal 3 binary64) (sqrt.f64 x))) (patch (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) (+.f64 y #s(literal -1 binary64))) (*.f64 #s(literal 3 binary64) (sqrt.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* 3 (* (sqrt x) y)) (taylor -inf y) (#s(alt (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) (+.f64 y #s(literal -1 binary64))) (*.f64 #s(literal 3 binary64) (sqrt.f64 x))) (patch (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) (+.f64 y #s(literal -1 binary64))) (*.f64 #s(literal 3 binary64) (sqrt.f64 x))) #<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 (/.f64 #s(literal 1/9 binary64) x) (+.f64 y #s(literal -1 binary64))) (*.f64 #s(literal 3 binary64) (sqrt.f64 x))) (patch (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) (+.f64 y #s(literal -1 binary64))) (*.f64 #s(literal 3 binary64) (sqrt.f64 x))) #<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 (/.f64 #s(literal 1/9 binary64) x) (+.f64 y #s(literal -1 binary64))) (*.f64 #s(literal 3 binary64) (sqrt.f64 x))) (patch (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) (+.f64 y #s(literal -1 binary64))) (*.f64 #s(literal 3 binary64) (sqrt.f64 x))) #<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 (/.f64 #s(literal 1/9 binary64) x) (+.f64 y #s(literal -1 binary64))) (*.f64 #s(literal 3 binary64) (sqrt.f64 x))) (patch (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) (+.f64 y #s(literal -1 binary64))) (*.f64 #s(literal 3 binary64) (sqrt.f64 x))) #<representation binary64>) () ())) ())
#s(alt (/ 1/9 x) (taylor 0 x) (#s(alt (+.f64 (/.f64 #s(literal 1/9 binary64) x) (+.f64 y #s(literal -1 binary64))) (patch (+.f64 (/.f64 #s(literal 1/9 binary64) x) (+.f64 y #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1/9 (* x (- y 1))) x) (taylor 0 x) (#s(alt (+.f64 (/.f64 #s(literal 1/9 binary64) x) (+.f64 y #s(literal -1 binary64))) (patch (+.f64 (/.f64 #s(literal 1/9 binary64) x) (+.f64 y #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1/9 (* x (- y 1))) x) (taylor 0 x) (#s(alt (+.f64 (/.f64 #s(literal 1/9 binary64) x) (+.f64 y #s(literal -1 binary64))) (patch (+.f64 (/.f64 #s(literal 1/9 binary64) x) (+.f64 y #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1/9 (* x (- y 1))) x) (taylor 0 x) (#s(alt (+.f64 (/.f64 #s(literal 1/9 binary64) x) (+.f64 y #s(literal -1 binary64))) (patch (+.f64 (/.f64 #s(literal 1/9 binary64) x) (+.f64 y #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (- y 1) (taylor inf x) (#s(alt (+.f64 (/.f64 #s(literal 1/9 binary64) x) (+.f64 y #s(literal -1 binary64))) (patch (+.f64 (/.f64 #s(literal 1/9 binary64) x) (+.f64 y #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (+ y (* 1/9 (/ 1 x))) 1) (taylor inf x) (#s(alt (+.f64 (/.f64 #s(literal 1/9 binary64) x) (+.f64 y #s(literal -1 binary64))) (patch (+.f64 (/.f64 #s(literal 1/9 binary64) x) (+.f64 y #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (+ y (* 1/9 (/ 1 x))) 1) (taylor inf x) (#s(alt (+.f64 (/.f64 #s(literal 1/9 binary64) x) (+.f64 y #s(literal -1 binary64))) (patch (+.f64 (/.f64 #s(literal 1/9 binary64) x) (+.f64 y #s(literal -1 binary64))) #<representation binary64>) () ())) ())
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Calls

105 calls:

TimeVariablePointExpression
38.0ms
x
@0
(sqrt (/ 1 (* x (* x x))))
3.0ms
x
@inf
(/ (+ (* x y) 1/9) x)
1.0ms
y
@-inf
(* y (* (sqrt x) 3))
1.0ms
y
@0
(* x (+ (* 1/3 (sqrt (/ 1 (* x (* x x))))) (* (sqrt (/ 1 x)) (+ (* 3 y) -3))))
1.0ms
x
@-inf
(* x (+ (* 1/3 (sqrt (/ 1 (* x (* x x))))) (* (sqrt (/ 1 x)) (+ (* 3 y) -3))))

simplify375.0ms (3.5%)

Memory
-18.4MiB live, 394.5MiB allocated
Algorithm
egg-herbie
Rules
13 218×lower-fma.f64
13 218×lower-fma.f32
4 926×lower-*.f64
4 926×lower-*.f32
2 864×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01553923
14553723
214603713
333143702
087233446
Stop Event
iter limit
node limit
Counts
420 → 404
Calls
Call 1
Inputs
(* 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 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) (* (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) (- (* 1/9 (/ 1 x)) 1)))
(+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1))))
(+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1))))
(+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1))))
(* 3 (* (sqrt x) y))
(* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))
(* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))
(* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))
(* 3 (* (sqrt x) y))
(* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))))
(* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))))
(* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))))
(/ 1/9 x)
(/ (+ 1/9 (* x (- y 1))) x)
(/ (+ 1/9 (* x (- y 1))) x)
(/ (+ 1/9 (* x (- y 1))) x)
(- y 1)
(- (+ y (* 1/9 (/ 1 x))) 1)
(- (+ y (* 1/9 (/ 1 x))) 1)
(- (+ y (* 1/9 (/ 1 x))) 1)
(- y 1)
(- (+ y (* 1/9 (/ 1 x))) 1)
(- (+ y (* 1/9 (/ 1 x))) 1)
(- (+ y (* 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)
y
(* y (- (+ 1 (/ 1/9 (* x y))) (/ 1 y)))
(* y (- (+ 1 (/ 1/9 (* x y))) (/ 1 y)))
(* y (- (+ 1 (/ 1/9 (* x y))) (/ 1 y)))
y
(* -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)
(/ 1/9 x)
(/ 1/9 x)
(/ 1/9 x)
(/ 1/9 x)
(/ 1/9 x)
(/ 1/9 x)
(/ 1/9 x)
(/ 1/9 x)
-1
(- y 1)
(- y 1)
(- y 1)
y
(* y (- 1 (/ 1 y)))
(* y (- 1 (/ 1 y)))
(* y (- 1 (/ 1 y)))
y
(* -1 (* y (- (/ 1 y) 1)))
(* -1 (* y (- (/ 1 y) 1)))
(* -1 (* y (- (/ 1 y) 1)))
(* 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 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) (* (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) (- (* 1/9 (/ 1 x)) 1)))
(+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1))))
(+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1))))
(+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1))))
(* 3 (* (sqrt x) y))
(* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))
(* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))
(* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))
(* 3 (* (sqrt x) y))
(* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))))
(* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))))
(* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))))
(* 3 (* (sqrt x) y))
(* 3 (* (sqrt x) y))
(* 3 (* (sqrt x) y))
(* 3 (* (sqrt x) y))
(* 3 (* (sqrt x) y))
(* 3 (* (sqrt x) y))
(* 3 (* (sqrt x) y))
(* 3 (* (sqrt x) y))
(* 3 (* (sqrt x) y))
(* 3 (* (sqrt x) y))
(* 3 (* (sqrt x) y))
(* 3 (* (sqrt x) y))
(* 3 (* (sqrt x) y))
(* 3 (* (sqrt x) y))
(* 3 (* (sqrt x) y))
(* 3 (* (sqrt x) y))
(* 3 (* (sqrt x) y))
(* 3 (* (sqrt x) y))
(* 3 (* (sqrt x) y))
(* 3 (* (sqrt x) y))
(* -3 (* (sqrt x) (* y (pow (sqrt -1) 2))))
(* -3 (* (sqrt x) (* y (pow (sqrt -1) 2))))
(* -3 (* (sqrt x) (* y (pow (sqrt -1) 2))))
(* -3 (* (sqrt x) (* y (pow (sqrt -1) 2))))
(* 3 (sqrt x))
(* 3 (sqrt x))
(* 3 (sqrt x))
(* 3 (sqrt x))
(* 3 (sqrt x))
(* 3 (sqrt x))
(* 3 (sqrt x))
(* 3 (sqrt 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)))
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(* -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)))
(* 1/3 (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 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) (* (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) (- (* 1/9 (/ 1 x)) 1)))
(+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1))))
(+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1))))
(+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1))))
(* 3 (* (sqrt x) y))
(* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))
(* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))
(* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))
(* 3 (* (sqrt x) y))
(* -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))
(* 3 (sqrt x))
(* 3 (sqrt x))
(* 3 (sqrt x))
(* 3 (sqrt x))
(* 3 (sqrt x))
(* 3 (sqrt x))
(* 3 (sqrt 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)))
(- (* 1/9 (/ 1 x)) 1)
(- (+ y (* 1/9 (/ 1 x))) 1)
(- (+ y (* 1/9 (/ 1 x))) 1)
(- (+ y (* 1/9 (/ 1 x))) 1)
y
(* y (- (+ 1 (/ 1/9 (* x y))) (/ 1 y)))
(* y (- (+ 1 (/ 1/9 (* x y))) (/ 1 y)))
(* y (- (+ 1 (/ 1/9 (* x y))) (/ 1 y)))
y
(* -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 (- y 1))) x)
(/ (+ 1/9 (* x (- y 1))) x)
(/ (+ 1/9 (* x (- y 1))) x)
(- y 1)
(- (+ y (* 1/9 (/ 1 x))) 1)
(- (+ y (* 1/9 (/ 1 x))) 1)
(- (+ y (* 1/9 (/ 1 x))) 1)
(- y 1)
(- (+ y (* 1/9 (/ 1 x))) 1)
(- (+ y (* 1/9 (/ 1 x))) 1)
(- (+ y (* 1/9 (/ 1 x))) 1)
(* 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 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) (* (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) (- (* 1/9 (/ 1 x)) 1)))
(+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1))))
(+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1))))
(+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1))))
(* 3 (* (sqrt x) y))
(* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))
(* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))
(* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))
(* 3 (* (sqrt x) y))
(* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))))
(* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))))
(* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))))
(- (* 1/9 (/ 1 x)) 1)
(- (+ y (* 1/9 (/ 1 x))) 1)
(- (+ y (* 1/9 (/ 1 x))) 1)
(- (+ y (* 1/9 (/ 1 x))) 1)
y
(* y (- (+ 1 (/ 1/9 (* x y))) (/ 1 y)))
(* y (- (+ 1 (/ 1/9 (* x y))) (/ 1 y)))
(* y (- (+ 1 (/ 1/9 (* x y))) (/ 1 y)))
y
(* -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 (- y 1))) x)
(/ (+ 1/9 (* x (- y 1))) x)
(/ (+ 1/9 (* x (- y 1))) x)
(- y 1)
(- (+ y (* 1/9 (/ 1 x))) 1)
(- (+ y (* 1/9 (/ 1 x))) 1)
(- (+ y (* 1/9 (/ 1 x))) 1)
(- y 1)
(- (+ y (* 1/9 (/ 1 x))) 1)
(- (+ y (* 1/9 (/ 1 x))) 1)
(- (+ y (* 1/9 (/ 1 x))) 1)
(* 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 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) (* (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) (- (* 1/9 (/ 1 x)) 1)))
(+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1))))
(+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1))))
(+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1))))
(* 3 (* (sqrt x) y))
(* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))
(* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))
(* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))
(* 3 (* (sqrt x) y))
(* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))))
(* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))))
(* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))))
(* 1/3 (sqrt (/ 1 x)))
(/ (+ (* 1/3 (sqrt x)) (* (sqrt (pow x 3)) (- (* 3 y) 3))) x)
(/ (+ (* 1/3 (sqrt x)) (* (sqrt (pow x 3)) (- (* 3 y) 3))) x)
(/ (+ (* 1/3 (sqrt x)) (* (sqrt (pow x 3)) (- (* 3 y) 3))) x)
(* (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) (* (pow (sqrt -1) 2) (- (* 3 y) 3)))
(* -1 (* x (+ (* -1 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- (* 3 y) 3)))) (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))))))
(* -1 (* x (+ (* -1 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- (* 3 y) 3)))) (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))))))
(* -1 (* x (+ (* -1 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- (* 3 y) 3)))) (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))))))
(* x (+ (* -3 (sqrt (/ 1 x))) (* 1/3 (sqrt (/ 1 (pow x 3))))))
(+ (* 3 (* (sqrt x) y)) (* x (+ (* -3 (sqrt (/ 1 x))) (* 1/3 (sqrt (/ 1 (pow x 3)))))))
(+ (* 3 (* (sqrt x) y)) (* x (+ (* -3 (sqrt (/ 1 x))) (* 1/3 (sqrt (/ 1 (pow x 3)))))))
(+ (* 3 (* (sqrt x) y)) (* x (+ (* -3 (sqrt (/ 1 x))) (* 1/3 (sqrt (/ 1 (pow x 3)))))))
(* 3 (* (sqrt x) y))
(* y (+ (* 3 (sqrt x)) (/ (* x (+ (* -3 (sqrt (/ 1 x))) (* 1/3 (sqrt (/ 1 (pow x 3)))))) y)))
(* y (+ (* 3 (sqrt x)) (/ (* x (+ (* -3 (sqrt (/ 1 x))) (* 1/3 (sqrt (/ 1 (pow x 3)))))) y)))
(* y (+ (* 3 (sqrt x)) (/ (* x (+ (* -3 (sqrt (/ 1 x))) (* 1/3 (sqrt (/ 1 (pow x 3)))))) y)))
(* 3 (* (sqrt x) y))
(* -1 (* y (+ (* -3 (sqrt x)) (* -1 (/ (* x (+ (* -3 (sqrt (/ 1 x))) (* 1/3 (sqrt (/ 1 (pow x 3)))))) y)))))
(* -1 (* y (+ (* -3 (sqrt x)) (* -1 (/ (* x (+ (* -3 (sqrt (/ 1 x))) (* 1/3 (sqrt (/ 1 (pow x 3)))))) y)))))
(* -1 (* y (+ (* -3 (sqrt x)) (* -1 (/ (* x (+ (* -3 (sqrt (/ 1 x))) (* 1/3 (sqrt (/ 1 (pow x 3)))))) y)))))
(* 1/3 (sqrt (/ 1 (pow x 3))))
(/ (+ (* 1/3 (sqrt x)) (* (sqrt (pow x 3)) (- (* 3 y) 3))) (pow x 2))
(/ (+ (* 1/3 (sqrt x)) (* (sqrt (pow x 3)) (- (* 3 y) 3))) (pow x 2))
(/ (+ (* 1/3 (sqrt x)) (* (sqrt (pow x 3)) (- (* 3 y) 3))) (pow x 2))
(* (sqrt (/ 1 x)) (- (* 3 y) 3))
(+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (- (* 3 y) 3)))
(+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (- (* 3 y) 3)))
(+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (- (* 3 y) 3)))
(* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- (* 3 y) 3)))
(+ (* -1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- (* 3 y) 3))))
(+ (* -1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- (* 3 y) 3))))
(+ (* -1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- (* 3 y) 3))))
(+ (* -3 (sqrt (/ 1 x))) (* 1/3 (sqrt (/ 1 (pow x 3)))))
(+ (* -3 (sqrt (/ 1 x))) (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) y))))
(+ (* -3 (sqrt (/ 1 x))) (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) y))))
(+ (* -3 (sqrt (/ 1 x))) (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) y))))
(* 3 (* (sqrt (/ 1 x)) y))
(* y (+ (* -3 (* (sqrt (/ 1 x)) (/ 1 y))) (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (/ 1 y))) (* 3 (sqrt (/ 1 x))))))
(* y (+ (* -3 (* (sqrt (/ 1 x)) (/ 1 y))) (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (/ 1 y))) (* 3 (sqrt (/ 1 x))))))
(* y (+ (* -3 (* (sqrt (/ 1 x)) (/ 1 y))) (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (/ 1 y))) (* 3 (sqrt (/ 1 x))))))
(* 3 (* (sqrt (/ 1 x)) y))
(* -1 (* y (+ (* -3 (sqrt (/ 1 x))) (* -1 (/ (+ (* -3 (sqrt (/ 1 x))) (* 1/3 (sqrt (/ 1 (pow x 3))))) y)))))
(* -1 (* y (+ (* -3 (sqrt (/ 1 x))) (* -1 (/ (+ (* -3 (sqrt (/ 1 x))) (* 1/3 (sqrt (/ 1 (pow x 3))))) y)))))
(* -1 (* y (+ (* -3 (sqrt (/ 1 x))) (* -1 (/ (+ (* -3 (sqrt (/ 1 x))) (* 1/3 (sqrt (/ 1 (pow x 3))))) y)))))
(sqrt (/ 1 (pow x 3)))
(sqrt (/ 1 (pow x 3)))
(sqrt (/ 1 (pow x 3)))
(sqrt (/ 1 (pow x 3)))
(sqrt (/ 1 (pow x 3)))
(sqrt (/ 1 (pow x 3)))
(sqrt (/ 1 (pow x 3)))
(sqrt (/ 1 (pow x 3)))
(* -1 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))
(* -1 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))
(* -1 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))
(* -1 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))
(/ 1/9 x)
(+ y (* 1/9 (/ 1 x)))
(+ y (* 1/9 (/ 1 x)))
(+ y (* 1/9 (/ 1 x)))
y
(* y (+ 1 (* 1/9 (/ 1 (* x y)))))
(* y (+ 1 (* 1/9 (/ 1 (* x y)))))
(* y (+ 1 (* 1/9 (/ 1 (* x y)))))
y
(* y (+ 1 (* 1/9 (/ 1 (* x y)))))
(* y (+ 1 (* 1/9 (/ 1 (* x y)))))
(* y (+ 1 (* 1/9 (/ 1 (* x y)))))
(/ 1/9 x)
(/ (+ 1/9 (* x y)) x)
(/ (+ 1/9 (* x y)) x)
(/ (+ 1/9 (* x y)) x)
y
(+ y (* 1/9 (/ 1 x)))
(+ y (* 1/9 (/ 1 x)))
(+ y (* 1/9 (/ 1 x)))
y
(+ y (* 1/9 (/ 1 x)))
(+ y (* 1/9 (/ 1 x)))
(+ y (* 1/9 (/ 1 x)))
(/ 1/9 x)
(/ (+ 1/9 (* x y)) x)
(/ (+ 1/9 (* x y)) x)
(/ (+ 1/9 (* x y)) x)
y
(+ y (* 1/9 (/ 1 x)))
(+ y (* 1/9 (/ 1 x)))
(+ y (* 1/9 (/ 1 x)))
y
(+ y (* 1/9 (/ 1 x)))
(+ y (* 1/9 (/ 1 x)))
(+ y (* 1/9 (/ 1 x)))
(/ 1/9 x)
(+ y (* 1/9 (/ 1 x)))
(+ y (* 1/9 (/ 1 x)))
(+ y (* 1/9 (/ 1 x)))
y
(* y (+ 1 (* 1/9 (/ 1 (* x y)))))
(* y (+ 1 (* 1/9 (/ 1 (* x y)))))
(* y (+ 1 (* 1/9 (/ 1 (* x y)))))
y
(* y (+ 1 (* 1/9 (/ 1 (* x y)))))
(* y (+ 1 (* 1/9 (/ 1 (* x y)))))
(* y (+ 1 (* 1/9 (/ 1 (* x y)))))
1/9
(+ 1/9 (* x y))
(+ 1/9 (* x y))
(+ 1/9 (* x y))
(* x y)
(* x (+ y (* 1/9 (/ 1 x))))
(* x (+ y (* 1/9 (/ 1 x))))
(* x (+ y (* 1/9 (/ 1 x))))
(* x y)
(* -1 (* x (- (* -1 y) (* 1/9 (/ 1 x)))))
(* -1 (* x (- (* -1 y) (* 1/9 (/ 1 x)))))
(* -1 (* x (- (* -1 y) (* 1/9 (/ 1 x)))))
1/9
(+ 1/9 (* x y))
(+ 1/9 (* x y))
(+ 1/9 (* x y))
(* x y)
(* y (+ x (* 1/9 (/ 1 y))))
(* y (+ x (* 1/9 (/ 1 y))))
(* y (+ x (* 1/9 (/ 1 y))))
(* x y)
(* -1 (* y (- (* -1 x) (* 1/9 (/ 1 y)))))
(* -1 (* y (- (* -1 x) (* 1/9 (/ 1 y)))))
(* -1 (* y (- (* -1 x) (* 1/9 (/ 1 y)))))
(/ 1 (pow x 3))
(/ 1 (pow x 3))
(/ 1 (pow x 3))
(/ 1 (pow x 3))
(/ 1 (pow x 3))
(/ 1 (pow x 3))
(/ 1 (pow x 3))
(/ 1 (pow x 3))
(/ 1 (pow x 3))
(/ 1 (pow x 3))
(/ 1 (pow x 3))
(/ 1 (pow x 3))
Outputs
(* 1/3 (sqrt (/ 1 x)))
(*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) (- y 1)))) x)
(/.f64 (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 x) (*.f64 (sqrt.f64 (*.f64 x (*.f64 x x))) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)))) x)
(/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) (- y 1)))) x)
(/.f64 (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 x) (*.f64 (sqrt.f64 (*.f64 x (*.f64 x x))) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)))) x)
(/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) (- y 1)))) x)
(/.f64 (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 x) (*.f64 (sqrt.f64 (*.f64 x (*.f64 x x))) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)))) x)
(* 3 (* (sqrt x) (- y 1)))
(*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)))
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) (- y 1)))))
(*.f64 x (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)))))
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) (- y 1)))))
(*.f64 x (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)))))
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) (- y 1)))))
(*.f64 x (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)))))
(* -3 (* (sqrt x) (* (pow (sqrt -1) 2) (- y 1))))
(*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)))
(* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1)))))))
(*.f64 x (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)))))
(* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1)))))))
(*.f64 x (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)))))
(* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1)))))))
(*.f64 x (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)))))
(* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1)))
(*.f64 (sqrt.f64 x) (+.f64 #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 #s(literal 3 binary64) (+.f64 y #s(literal -1 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 #s(literal 3 binary64) (+.f64 y #s(literal -1 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 #s(literal 3 binary64) (+.f64 y #s(literal -1 binary64)) (/.f64 #s(literal 1/3 binary64) x)))
(* 3 (* (sqrt x) y))
(*.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) y))
(* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))
(*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) (+.f64 y #s(literal -1 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 #s(literal 3 binary64) (+.f64 y #s(literal -1 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 #s(literal 3 binary64) (+.f64 y #s(literal -1 binary64)) (/.f64 #s(literal 1/3 binary64) x)))
(* 3 (* (sqrt x) y))
(*.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) y))
(* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))))
(*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) (+.f64 y #s(literal -1 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 #s(literal 3 binary64) (+.f64 y #s(literal -1 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 #s(literal 3 binary64) (+.f64 y #s(literal -1 binary64)) (/.f64 #s(literal 1/3 binary64) x)))
(/ 1/9 x)
(/.f64 #s(literal 1/9 binary64) x)
(/ (+ 1/9 (* x (- y 1))) x)
(/.f64 (-.f64 (fma.f64 x y #s(literal 1/9 binary64)) x) x)
(/ (+ 1/9 (* x (- y 1))) x)
(/.f64 (-.f64 (fma.f64 x y #s(literal 1/9 binary64)) x) x)
(/ (+ 1/9 (* x (- y 1))) x)
(/.f64 (-.f64 (fma.f64 x y #s(literal 1/9 binary64)) x) x)
(- y 1)
(+.f64 y #s(literal -1 binary64))
(- (+ y (* 1/9 (/ 1 x))) 1)
(+.f64 y (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/9 binary64) x)))
(- (+ y (* 1/9 (/ 1 x))) 1)
(+.f64 y (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/9 binary64) x)))
(- (+ y (* 1/9 (/ 1 x))) 1)
(+.f64 y (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/9 binary64) x)))
(- y 1)
(+.f64 y #s(literal -1 binary64))
(- (+ y (* 1/9 (/ 1 x))) 1)
(+.f64 y (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/9 binary64) x)))
(- (+ y (* 1/9 (/ 1 x))) 1)
(+.f64 y (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/9 binary64) x)))
(- (+ y (* 1/9 (/ 1 x))) 1)
(+.f64 y (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/9 binary64) x)))
(- (* 1/9 (/ 1 x)) 1)
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/9 binary64) x))
(- (+ y (* 1/9 (/ 1 x))) 1)
(+.f64 y (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/9 binary64) x)))
(- (+ y (* 1/9 (/ 1 x))) 1)
(+.f64 y (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/9 binary64) x)))
(- (+ y (* 1/9 (/ 1 x))) 1)
(+.f64 y (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/9 binary64) x)))
y
(* y (- (+ 1 (/ 1/9 (* x y))) (/ 1 y)))
(+.f64 y (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/9 binary64) x)))
(* y (- (+ 1 (/ 1/9 (* x y))) (/ 1 y)))
(+.f64 y (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/9 binary64) x)))
(* y (- (+ 1 (/ 1/9 (* x y))) (/ 1 y)))
(+.f64 y (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/9 binary64) x)))
y
(* -1 (* y (- (* -1 (/ (- (* 1/9 (/ 1 x)) 1) y)) 1)))
(+.f64 y (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/9 binary64) x)))
(* -1 (* y (- (* -1 (/ (- (* 1/9 (/ 1 x)) 1) y)) 1)))
(+.f64 y (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/9 binary64) x)))
(* -1 (* y (- (* -1 (/ (- (* 1/9 (/ 1 x)) 1) y)) 1)))
(+.f64 y (+.f64 #s(literal -1 binary64) (/.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)
(/ 1/9 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)
(/ 1/9 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)
(/ 1/9 x)
(/.f64 #s(literal 1/9 binary64) x)
-1
#s(literal -1 binary64)
(- y 1)
(+.f64 y #s(literal -1 binary64))
(- y 1)
(+.f64 y #s(literal -1 binary64))
(- y 1)
(+.f64 y #s(literal -1 binary64))
y
(* y (- 1 (/ 1 y)))
(+.f64 y #s(literal -1 binary64))
(* y (- 1 (/ 1 y)))
(+.f64 y #s(literal -1 binary64))
(* y (- 1 (/ 1 y)))
(+.f64 y #s(literal -1 binary64))
y
(* -1 (* y (- (/ 1 y) 1)))
(+.f64 y #s(literal -1 binary64))
(* -1 (* y (- (/ 1 y) 1)))
(+.f64 y #s(literal -1 binary64))
(* -1 (* y (- (/ 1 y) 1)))
(+.f64 y #s(literal -1 binary64))
(* 1/3 (sqrt (/ 1 x)))
(*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) (- y 1)))) x)
(/.f64 (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 x) (*.f64 (sqrt.f64 (*.f64 x (*.f64 x x))) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)))) x)
(/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) (- y 1)))) x)
(/.f64 (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 x) (*.f64 (sqrt.f64 (*.f64 x (*.f64 x x))) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)))) x)
(/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) (- y 1)))) x)
(/.f64 (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 x) (*.f64 (sqrt.f64 (*.f64 x (*.f64 x x))) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)))) x)
(* 3 (* (sqrt x) (- y 1)))
(*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)))
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) (- y 1)))))
(*.f64 x (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)))))
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) (- y 1)))))
(*.f64 x (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)))))
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) (- y 1)))))
(*.f64 x (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)))))
(* -3 (* (sqrt x) (* (pow (sqrt -1) 2) (- y 1))))
(*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)))
(* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1)))))))
(*.f64 x (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)))))
(* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1)))))))
(*.f64 x (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)))))
(* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1)))))))
(*.f64 x (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)))))
(* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1)))
(*.f64 (sqrt.f64 x) (+.f64 #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 #s(literal 3 binary64) (+.f64 y #s(literal -1 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 #s(literal 3 binary64) (+.f64 y #s(literal -1 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 #s(literal 3 binary64) (+.f64 y #s(literal -1 binary64)) (/.f64 #s(literal 1/3 binary64) x)))
(* 3 (* (sqrt x) y))
(*.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) y))
(* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))
(*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) (+.f64 y #s(literal -1 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 #s(literal 3 binary64) (+.f64 y #s(literal -1 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 #s(literal 3 binary64) (+.f64 y #s(literal -1 binary64)) (/.f64 #s(literal 1/3 binary64) x)))
(* 3 (* (sqrt x) y))
(*.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) y))
(* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))))
(*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) (+.f64 y #s(literal -1 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 #s(literal 3 binary64) (+.f64 y #s(literal -1 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 #s(literal 3 binary64) (+.f64 y #s(literal -1 binary64)) (/.f64 #s(literal 1/3 binary64) x)))
(* 3 (* (sqrt x) y))
(*.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) y))
(* 3 (* (sqrt x) y))
(*.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) y))
(* 3 (* (sqrt x) y))
(*.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) y))
(* 3 (* (sqrt x) y))
(*.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) y))
(* 3 (* (sqrt x) y))
(*.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) y))
(* 3 (* (sqrt x) y))
(*.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) y))
(* 3 (* (sqrt x) y))
(*.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) y))
(* 3 (* (sqrt x) y))
(*.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) y))
(* 3 (* (sqrt x) y))
(*.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) y))
(* 3 (* (sqrt x) y))
(*.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) y))
(* 3 (* (sqrt x) y))
(*.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) y))
(* 3 (* (sqrt x) y))
(*.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) y))
(* 3 (* (sqrt x) y))
(*.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) y))
(* 3 (* (sqrt x) y))
(*.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) y))
(* 3 (* (sqrt x) y))
(*.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) y))
(* 3 (* (sqrt x) y))
(*.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) y))
(* 3 (* (sqrt x) y))
(*.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) y))
(* 3 (* (sqrt x) y))
(*.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) y))
(* 3 (* (sqrt x) y))
(*.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) y))
(* 3 (* (sqrt x) y))
(*.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) y))
(* -3 (* (sqrt x) (* y (pow (sqrt -1) 2))))
(*.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) y))
(* -3 (* (sqrt x) (* y (pow (sqrt -1) 2))))
(*.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) y))
(* -3 (* (sqrt x) (* y (pow (sqrt -1) 2))))
(*.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) y))
(* -3 (* (sqrt x) (* y (pow (sqrt -1) 2))))
(*.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) y))
(* 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))
(* 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))
(* -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))
(sqrt x)
(sqrt.f64 x)
(sqrt x)
(sqrt.f64 x)
(sqrt x)
(sqrt.f64 x)
(sqrt x)
(sqrt.f64 x)
(sqrt x)
(sqrt.f64 x)
(sqrt x)
(sqrt.f64 x)
(sqrt x)
(sqrt.f64 x)
(sqrt x)
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(/.f64 (fma.f64 x y #s(literal 1/9 binary64)) x)
(/ (+ 1/9 (* x y)) x)
(/.f64 (fma.f64 x y #s(literal 1/9 binary64)) x)
(/ (+ 1/9 (* x y)) x)
(/.f64 (fma.f64 x y #s(literal 1/9 binary64)) x)
y
(+ y (* 1/9 (/ 1 x)))
(+.f64 y (/.f64 #s(literal 1/9 binary64) x))
(+ y (* 1/9 (/ 1 x)))
(+.f64 y (/.f64 #s(literal 1/9 binary64) x))
(+ y (* 1/9 (/ 1 x)))
(+.f64 y (/.f64 #s(literal 1/9 binary64) x))
y
(+ y (* 1/9 (/ 1 x)))
(+.f64 y (/.f64 #s(literal 1/9 binary64) x))
(+ y (* 1/9 (/ 1 x)))
(+.f64 y (/.f64 #s(literal 1/9 binary64) x))
(+ y (* 1/9 (/ 1 x)))
(+.f64 y (/.f64 #s(literal 1/9 binary64) x))
(/ 1/9 x)
(/.f64 #s(literal 1/9 binary64) x)
(/ (+ 1/9 (* x y)) x)
(/.f64 (fma.f64 x y #s(literal 1/9 binary64)) x)
(/ (+ 1/9 (* x y)) x)
(/.f64 (fma.f64 x y #s(literal 1/9 binary64)) x)
(/ (+ 1/9 (* x y)) x)
(/.f64 (fma.f64 x y #s(literal 1/9 binary64)) x)
y
(+ y (* 1/9 (/ 1 x)))
(+.f64 y (/.f64 #s(literal 1/9 binary64) x))
(+ y (* 1/9 (/ 1 x)))
(+.f64 y (/.f64 #s(literal 1/9 binary64) x))
(+ y (* 1/9 (/ 1 x)))
(+.f64 y (/.f64 #s(literal 1/9 binary64) x))
y
(+ y (* 1/9 (/ 1 x)))
(+.f64 y (/.f64 #s(literal 1/9 binary64) x))
(+ y (* 1/9 (/ 1 x)))
(+.f64 y (/.f64 #s(literal 1/9 binary64) x))
(+ y (* 1/9 (/ 1 x)))
(+.f64 y (/.f64 #s(literal 1/9 binary64) x))
(/ 1/9 x)
(/.f64 #s(literal 1/9 binary64) x)
(+ 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))
y
(* y (+ 1 (* 1/9 (/ 1 (* x y)))))
(+.f64 y (/.f64 #s(literal 1/9 binary64) x))
(* y (+ 1 (* 1/9 (/ 1 (* x y)))))
(+.f64 y (/.f64 #s(literal 1/9 binary64) x))
(* y (+ 1 (* 1/9 (/ 1 (* x y)))))
(+.f64 y (/.f64 #s(literal 1/9 binary64) x))
y
(* y (+ 1 (* 1/9 (/ 1 (* x y)))))
(+.f64 y (/.f64 #s(literal 1/9 binary64) x))
(* y (+ 1 (* 1/9 (/ 1 (* x y)))))
(+.f64 y (/.f64 #s(literal 1/9 binary64) x))
(* y (+ 1 (* 1/9 (/ 1 (* x y)))))
(+.f64 y (/.f64 #s(literal 1/9 binary64) x))
1/9
#s(literal 1/9 binary64)
(+ 1/9 (* x y))
(fma.f64 x y #s(literal 1/9 binary64))
(+ 1/9 (* x y))
(fma.f64 x y #s(literal 1/9 binary64))
(+ 1/9 (* x y))
(fma.f64 x y #s(literal 1/9 binary64))
(* x y)
(*.f64 x y)
(* x (+ y (* 1/9 (/ 1 x))))
(fma.f64 x y #s(literal 1/9 binary64))
(* x (+ y (* 1/9 (/ 1 x))))
(fma.f64 x y #s(literal 1/9 binary64))
(* x (+ y (* 1/9 (/ 1 x))))
(fma.f64 x y #s(literal 1/9 binary64))
(* x y)
(*.f64 x y)
(* -1 (* x (- (* -1 y) (* 1/9 (/ 1 x)))))
(fma.f64 x y #s(literal 1/9 binary64))
(* -1 (* x (- (* -1 y) (* 1/9 (/ 1 x)))))
(fma.f64 x y #s(literal 1/9 binary64))
(* -1 (* x (- (* -1 y) (* 1/9 (/ 1 x)))))
(fma.f64 x y #s(literal 1/9 binary64))
1/9
#s(literal 1/9 binary64)
(+ 1/9 (* x y))
(fma.f64 x y #s(literal 1/9 binary64))
(+ 1/9 (* x y))
(fma.f64 x y #s(literal 1/9 binary64))
(+ 1/9 (* x y))
(fma.f64 x y #s(literal 1/9 binary64))
(* x y)
(*.f64 x y)
(* y (+ x (* 1/9 (/ 1 y))))
(fma.f64 x y #s(literal 1/9 binary64))
(* y (+ x (* 1/9 (/ 1 y))))
(fma.f64 x y #s(literal 1/9 binary64))
(* y (+ x (* 1/9 (/ 1 y))))
(fma.f64 x y #s(literal 1/9 binary64))
(* x y)
(*.f64 x y)
(* -1 (* y (- (* -1 x) (* 1/9 (/ 1 y)))))
(fma.f64 x y #s(literal 1/9 binary64))
(* -1 (* y (- (* -1 x) (* 1/9 (/ 1 y)))))
(fma.f64 x y #s(literal 1/9 binary64))
(* -1 (* y (- (* -1 x) (* 1/9 (/ 1 y)))))
(fma.f64 x y #s(literal 1/9 binary64))
(/ 1 (pow x 3))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))
(/ 1 (pow x 3))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))
(/ 1 (pow x 3))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))
(/ 1 (pow x 3))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))
(/ 1 (pow x 3))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))
(/ 1 (pow x 3))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))
(/ 1 (pow x 3))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))
(/ 1 (pow x 3))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))
(/ 1 (pow x 3))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))
(/ 1 (pow x 3))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))
(/ 1 (pow x 3))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))
(/ 1 (pow x 3))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))

rewrite328.0ms (3%)

Memory
42.0MiB live, 419.9MiB allocated
Rules
5 326×lower-*.f32
5 306×lower-*.f64
3 982×lower-/.f32
3 974×lower-/.f64
3 092×lower-fma.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
044242
071232
1270202
22189198
08374198
Stop Event
iter limit
node limit
iter limit
Counts
21 → 688
Calls
Call 1
Inputs
(*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) (+.f64 y #s(literal -1 binary64))) (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))
(+.f64 (/.f64 #s(literal 1/9 binary64) x) (+.f64 y #s(literal -1 binary64)))
(/.f64 #s(literal 1/9 binary64) x)
(+.f64 y #s(literal -1 binary64))
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64))))
(*.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64)))
(*.f64 (sqrt.f64 x) #s(literal 3 binary64))
(sqrt.f64 x)
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 #s(approx (+ y (/ 1 (* x 9))) (/.f64 #s(literal 1/9 binary64) x)) #s(literal 1 binary64)))
(*.f64 #s(literal 3 binary64) (sqrt.f64 x))
(-.f64 #s(approx (+ y (/ 1 (* x 9))) (/.f64 #s(literal 1/9 binary64) x)) #s(literal 1 binary64))
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 #s(approx (+ y (/ 1 (* x 9))) (/.f64 (fma.f64 x y #s(literal 1/9 binary64)) x)) #s(literal 1 binary64)))
(-.f64 #s(approx (+ y (/ 1 (* x 9))) (/.f64 (fma.f64 x y #s(literal 1/9 binary64)) x)) #s(literal 1 binary64))
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 x (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))))))
(*.f64 x (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)))))
(fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))
#s(approx (+ y (/ 1 (* x 9))) (/.f64 #s(literal 1/9 binary64) x))
(/.f64 (fma.f64 x y #s(literal 1/9 binary64)) x)
(fma.f64 x y #s(literal 1/9 binary64))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))
Outputs
(+.f64 (*.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))) (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64))))
(+.f64 (*.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))) (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)) (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
(+.f64 (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y)) (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) #s(literal -1 binary64)))
(+.f64 (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1/9 binary64) x)) (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (+.f64 y #s(literal -1 binary64))))
(+.f64 (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (+.f64 y #s(literal -1 binary64))) (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1/9 binary64) x)))
(+.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) (*.f64 #s(literal 3 binary64) (sqrt.f64 x))) (*.f64 #s(literal -1 binary64) (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
(+.f64 (*.f64 (/.f64 #s(literal 1/9 binary64) x) (*.f64 #s(literal 3 binary64) (sqrt.f64 x))) (*.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
(+.f64 (*.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 #s(literal 3 binary64) (sqrt.f64 x))) (*.f64 (/.f64 #s(literal 1/9 binary64) x) (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
(fma.f64 (/.f64 #s(literal 1/9 binary64) x) (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (*.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
(fma.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64))))
(fma.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)) (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
(fma.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (*.f64 (/.f64 #s(literal 1/9 binary64) x) (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
(fma.f64 #s(literal 3 binary64) (*.f64 y (sqrt.f64 x)) (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64))))
(fma.f64 #s(literal 3 binary64) (*.f64 y (sqrt.f64 x)) (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)) (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
(fma.f64 (sqrt.f64 x) (*.f64 y #s(literal 3 binary64)) (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64))))
(fma.f64 (sqrt.f64 x) (*.f64 y #s(literal 3 binary64)) (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)) (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
(fma.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1/9 binary64) x) (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (+.f64 y #s(literal -1 binary64))))
(fma.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) y (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64))))
(fma.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) y (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)) (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
(fma.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (+.f64 y #s(literal -1 binary64)) (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1/9 binary64) x)))
(fma.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) #s(literal -1 binary64)))
(fma.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (*.f64 #s(literal -1 binary64) (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
(fma.f64 (*.f64 y #s(literal 3 binary64)) (sqrt.f64 x) (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64))))
(fma.f64 (*.f64 y #s(literal 3 binary64)) (sqrt.f64 x) (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)) (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
(fma.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64) (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64))))
(fma.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64) (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)) (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
(/.f64 (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (fma.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y)) #s(literal -1 binary64))) (+.f64 (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 #s(literal 1/9 binary64) x) y)))
(/.f64 (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 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 y (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64))))
(/.f64 (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (fma.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 (+.f64 y #s(literal -1 binary64)) (+.f64 y #s(literal -1 binary64))) (/.f64 #s(literal 1/729 binary64) (*.f64 x (*.f64 x x))))) (fma.f64 (+.f64 y #s(literal -1 binary64)) (-.f64 (+.f64 y #s(literal -1 binary64)) (/.f64 #s(literal 1/9 binary64) x)) (/.f64 #s(literal 1/81 binary64) (*.f64 x x))))
(/.f64 (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (/.f64 #s(literal 1/81 binary64) (*.f64 x x)) (*.f64 (+.f64 y #s(literal -1 binary64)) (+.f64 y #s(literal -1 binary64))))) (-.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal -1 binary64)))
(/.f64 (*.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y)) #s(literal -1 binary64)) (*.f64 #s(literal 3 binary64) (sqrt.f64 x))) (+.f64 (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 #s(literal 1/9 binary64) x) y)))
(/.f64 (*.f64 (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 #s(literal 3 binary64) (sqrt.f64 x))) (+.f64 y (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64))))
(/.f64 (*.f64 (fma.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 (+.f64 y #s(literal -1 binary64)) (+.f64 y #s(literal -1 binary64))) (/.f64 #s(literal 1/729 binary64) (*.f64 x (*.f64 x x)))) (*.f64 #s(literal 3 binary64) (sqrt.f64 x))) (fma.f64 (+.f64 y #s(literal -1 binary64)) (-.f64 (+.f64 y #s(literal -1 binary64)) (/.f64 #s(literal 1/9 binary64) x)) (/.f64 #s(literal 1/81 binary64) (*.f64 x x))))
(/.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/81 binary64) (*.f64 x x)) (*.f64 (+.f64 y #s(literal -1 binary64)) (+.f64 y #s(literal -1 binary64)))) (*.f64 #s(literal 3 binary64) (sqrt.f64 x))) (-.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal -1 binary64)))
(/.f64 (neg.f64 (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (fma.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y)) #s(literal -1 binary64)))) (neg.f64 (+.f64 (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 #s(literal 1/9 binary64) x) y))))
(/.f64 (neg.f64 (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 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)))) (neg.f64 (+.f64 y (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (fma.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 (+.f64 y #s(literal -1 binary64)) (+.f64 y #s(literal -1 binary64))) (/.f64 #s(literal 1/729 binary64) (*.f64 x (*.f64 x x)))))) (neg.f64 (fma.f64 (+.f64 y #s(literal -1 binary64)) (-.f64 (+.f64 y #s(literal -1 binary64)) (/.f64 #s(literal 1/9 binary64) x)) (/.f64 #s(literal 1/81 binary64) (*.f64 x x)))))
(/.f64 (neg.f64 (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (/.f64 #s(literal 1/81 binary64) (*.f64 x x)) (*.f64 (+.f64 y #s(literal -1 binary64)) (+.f64 y #s(literal -1 binary64)))))) (neg.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal -1 binary64))))
(/.f64 (neg.f64 (*.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y)) #s(literal -1 binary64)) (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) (neg.f64 (+.f64 (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 #s(literal 1/9 binary64) x) y))))
(/.f64 (neg.f64 (*.f64 (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 #s(literal 3 binary64) (sqrt.f64 x)))) (neg.f64 (+.f64 y (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (*.f64 (fma.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 (+.f64 y #s(literal -1 binary64)) (+.f64 y #s(literal -1 binary64))) (/.f64 #s(literal 1/729 binary64) (*.f64 x (*.f64 x x)))) (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) (neg.f64 (fma.f64 (+.f64 y #s(literal -1 binary64)) (-.f64 (+.f64 y #s(literal -1 binary64)) (/.f64 #s(literal 1/9 binary64) x)) (/.f64 #s(literal 1/81 binary64) (*.f64 x x)))))
(/.f64 (neg.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/81 binary64) (*.f64 x x)) (*.f64 (+.f64 y #s(literal -1 binary64)) (+.f64 y #s(literal -1 binary64)))) (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) (neg.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal -1 binary64))))
(*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) (+.f64 y #s(literal -1 binary64))) (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))
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(pow.f64 (/.f64 (fma.f64 x y #s(literal -1/9 binary64)) (fma.f64 x (*.f64 y (*.f64 x y)) #s(literal -1/81 binary64))) #s(literal -1 binary64))
(*.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y)) #s(literal 1/729 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (*.f64 x y) (*.f64 x y) #s(literal 1/81 binary64)) (*.f64 #s(literal 1/9 binary64) (*.f64 x y)))))
(*.f64 (fma.f64 x (*.f64 y (*.f64 x y)) #s(literal -1/81 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x y #s(literal -1/9 binary64))))
(exp.f64 (*.f64 #s(literal -3 binary64) (log.f64 x)))
(exp.f64 (*.f64 (log.f64 x) #s(literal -3 binary64)))
(exp.f64 (*.f64 (neg.f64 (log.f64 x)) #s(literal 3 binary64)))
(exp.f64 (fma.f64 (*.f64 #s(literal -3 binary64) (log.f64 x)) #s(literal 1/2 binary64) (*.f64 (*.f64 #s(literal -3 binary64) (log.f64 x)) #s(literal 1/2 binary64))))
(exp.f64 (-.f64 (neg.f64 (log.f64 x)) (*.f64 (log.f64 x) #s(literal 2 binary64))))
(sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))))
(neg.f64 (/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x x))))
(neg.f64 (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 x (*.f64 x x))))
(/.f64 #s(literal -1 binary64) (neg.f64 (neg.f64 (neg.f64 (*.f64 x (*.f64 x x))))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (*.f64 x (*.f64 x x)))))
(/.f64 #s(literal 1 binary64) (pow.f64 (neg.f64 (neg.f64 x)) #s(literal 3 binary64)))
(/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 x x))
(/.f64 (neg.f64 (/.f64 #s(literal 1 binary64) x)) (neg.f64 (*.f64 x x)))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) x)
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) x)
(/.f64 (neg.f64 (neg.f64 (/.f64 #s(literal 1 binary64) x))) (neg.f64 (neg.f64 (*.f64 x x))))
(/.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) (neg.f64 x))
(/.f64 (neg.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x)) (neg.f64 x))
(pow.f64 x #s(literal -3 binary64))
(pow.f64 (*.f64 x (*.f64 x x)) #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (sqrt.f64 x))) #s(literal 2 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3 binary64))
(pow.f64 (*.f64 x (sqrt.f64 x)) #s(literal -2 binary64))
(pow.f64 (neg.f64 (neg.f64 (*.f64 x (*.f64 x x)))) #s(literal -1 binary64))
(pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) #s(literal 1/2 binary64))
(pow.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal -1/2 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x x))))
(*.f64 #s(literal -1 binary64) (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64)))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) #s(literal 1 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (sqrt.f64 x))) (/.f64 #s(literal 1 binary64) (*.f64 x (sqrt.f64 x))))
(*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (/.f64 #s(literal 1 binary64) x) x))
(*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(*.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 (/.f64 (*.f64 x x) #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) x))

eval186.0ms (1.7%)

Memory
-26.9MiB live, 414.9MiB allocated
Compiler

Compiled 27 643 to 2 670 computations (90.3% saved)

prune585.0ms (5.4%)

Memory
26.3MiB live, 636.6MiB allocated
Pruning

30 alts after pruning (25 fresh and 5 done)

PrunedKeptTotal
New1 210221 232
Fresh9312
Picked145
Done011
Total1 220301 250
Accuracy
100.0%
Counts
1 250 → 30
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.4%
(fma.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)) #s(literal 3 binary64)) (sqrt.f64 x) (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) y))
99.4%
(fma.f64 (sqrt.f64 x) #s(literal -3 binary64) (*.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y))))
99.4%
(*.f64 (fma.f64 #s(literal 3 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal -3 binary64)) (sqrt.f64 x))
99.4%
(*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) (+.f64 y #s(literal -1 binary64))) (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))
99.4%
(*.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) (+.f64 y #s(literal -1 binary64))) (sqrt.f64 x)) #s(literal 3 binary64))
69.4%
(*.f64 (*.f64 (+.f64 #s(literal -1 binary64) #s(approx (+ y (/ 1 (* x 9))) (/.f64 #s(literal 1/9 binary64) x))) #s(literal 3 binary64)) (sqrt.f64 x))
69.4%
(*.f64 (*.f64 (sqrt.f64 x) (+.f64 #s(literal -1 binary64) #s(approx (+ y (/ 1 (* x 9))) (/.f64 #s(literal 1/9 binary64) x)))) #s(literal 3 binary64))
69.2%
(*.f64 (*.f64 #s(literal 3 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) x)) (-.f64 #s(approx (+ y (/ 1 (* x 9))) (/.f64 #s(literal 1/9 binary64) x)) #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)))
73.7%
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 #s(approx (+ y (/ 1 (* x 9))) (/.f64 (fma.f64 x (*.f64 y (*.f64 x y)) #s(literal -1/81 binary64)) (*.f64 x (fma.f64 x y #s(literal -1/9 binary64))))) #s(literal 1 binary64)))
95.0%
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 #s(approx (+ y (/ 1 (* x 9))) (/.f64 (fma.f64 x y #s(literal 1/9 binary64)) x)) #s(literal 1 binary64)))
69.3%
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 #s(approx (+ y (/ 1 (* x 9))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 9 binary64) (/.f64 #s(literal 1 binary64) x)))) #s(literal 1 binary64)))
69.4%
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 #s(approx (+ y (/ 1 (* x 9))) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64)))
69.4%
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 #s(approx (+ y (/ 1 (* x 9))) (/.f64 #s(literal 1/9 binary64) x)) #s(literal 1 binary64)))
44.9%
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) #s(approx (- (+ y (/ 1 (* x 9))) 1) (/.f64 #s(literal 1/9 binary64) x)))
54.9%
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) #s(approx (- (+ y (/ 1 (* x 9))) 1) (+.f64 y #s(literal -1 binary64))))
69.0%
#s(approx (* (+ (/ 1/9 x) (+ y -1)) (* 3 (sqrt x))) (/.f64 (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 x) (*.f64 (sqrt.f64 (*.f64 x (*.f64 x x))) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)))) x))
99.4%
#s(approx (* (+ (/ 1/9 x) (+ y -1)) (* 3 (sqrt x))) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) (+.f64 y #s(literal -1 binary64)) (/.f64 #s(literal 1/3 binary64) x))))
54.9%
#s(approx (* (+ (/ 1/9 x) (+ y -1)) (* 3 (sqrt x))) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))))
69.4%
#s(approx (* (+ (/ 1/9 x) (+ y -1)) (* 3 (sqrt x))) (*.f64 (sqrt.f64 x) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))))
31.4%
#s(approx (* (+ (/ 1/9 x) (+ y -1)) (* 3 (sqrt x))) (*.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) y)))
44.9%
#s(approx (* (+ (/ 1/9 x) (+ y -1)) (* 3 (sqrt x))) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
82.0%
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (fma.f64 (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 x) (*.f64 x (/.f64 #s(literal 1/3 binary64) (*.f64 x (sqrt.f64 x))))))
81.1%
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (+.f64 (/.f64 (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 x)) (/.f64 #s(literal 1/3 binary64) (*.f64 x (sqrt.f64 x)))) x))
31.4%
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64)))
31.3%
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 y (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) x) #s(literal 3 binary64))))
31.4%
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64))))
52.4%
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 x #s(approx (+ (* 1/3 (sqrt (/ 1 (* x (* x x))))) (* (sqrt (/ 1 x)) (+ (* 3 y) -3))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))))))
28.9%
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 x #s(approx (+ (* 1/3 (sqrt (/ 1 (* x (* x x))))) (* (sqrt (/ 1 x)) (+ (* 3 y) -3))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 3 binary64) y)))))
2.7%
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) #s(approx (* x (+ (* 1/3 (sqrt (/ 1 (* x (* x x))))) (* (sqrt (/ 1 x)) (+ (* 3 y) -3)))) (*.f64 (sqrt.f64 x) (fma.f64 y #s(literal -3 binary64) #s(literal 3 binary64)))))
Compiler

Compiled 778 to 542 computations (30.3% saved)

simplify411.0ms (3.8%)

Memory
4.7MiB live, 417.2MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
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 x (/.f64 #s(literal 1/3 binary64) (*.f64 x (sqrt.f64 x)))))
cost-diff0
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (fma.f64 (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 x) (*.f64 x (/.f64 #s(literal 1/3 binary64) (*.f64 x (sqrt.f64 x))))))
cost-diff640
(*.f64 x (/.f64 #s(literal 1/3 binary64) (*.f64 x (sqrt.f64 x))))
cost-diff0
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 3 binary64) y))
cost-diff0
#s(approx (+ (* 1/3 (sqrt (/ 1 (* x (* x x))))) (* (sqrt (/ 1 x)) (+ (* 3 y) -3))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 3 binary64) y)))
cost-diff0
(*.f64 x #s(approx (+ (* 1/3 (sqrt (/ 1 (* x (* x x))))) (* (sqrt (/ 1 x)) (+ (* 3 y) -3))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 3 binary64) y))))
cost-diff0
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 x #s(approx (+ (* 1/3 (sqrt (/ 1 (* x (* x x))))) (* (sqrt (/ 1 x)) (+ (* 3 y) -3))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 3 binary64) y)))))
cost-diff0
(+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))
cost-diff0
(sqrt.f64 x)
cost-diff0
(*.f64 (sqrt.f64 x) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)))
cost-diff0
#s(approx (* (+ (/ 1/9 x) (+ y -1)) (* 3 (sqrt x))) (*.f64 (sqrt.f64 x) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))))
cost-diff0
(sqrt.f64 x)
cost-diff0
(*.f64 y (sqrt.f64 x))
cost-diff0
(*.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64))
cost-diff0
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64)))
cost-diff0
(/.f64 #s(literal 1/9 binary64) x)
cost-diff0
(+.f64 (/.f64 #s(literal 1/9 binary64) x) (+.f64 y #s(literal -1 binary64)))
cost-diff0
(*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) (+.f64 y #s(literal -1 binary64))) (sqrt.f64 x))
cost-diff128
(*.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) (+.f64 y #s(literal -1 binary64))) (sqrt.f64 x)) #s(literal 3 binary64))
Rules
20 252×lower-fma.f32
20 248×lower-fma.f64
5 638×lower-*.f32
5 618×lower-*.f64
2 408×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
057325
079316
1140310
2267298
3459293
4627293
51148293
63328293
75224293
08116290
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(*.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) (+.f64 y #s(literal -1 binary64))) (sqrt.f64 x)) #s(literal 3 binary64))
(*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) (+.f64 y #s(literal -1 binary64))) (sqrt.f64 x))
(+.f64 (/.f64 #s(literal 1/9 binary64) x) (+.f64 y #s(literal -1 binary64)))
(/.f64 #s(literal 1/9 binary64) x)
#s(literal 1/9 binary64)
x
(+.f64 y #s(literal -1 binary64))
y
#s(literal -1 binary64)
(sqrt.f64 x)
#s(literal 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)
#s(approx (* (+ (/ 1/9 x) (+ y -1)) (* 3 (sqrt x))) (*.f64 (sqrt.f64 x) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))))
(*.f64 (sqrt.f64 x) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)))
(sqrt.f64 x)
x
(+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))
#s(literal -3 binary64)
(/.f64 #s(literal 1/3 binary64) x)
#s(literal 1/3 binary64)
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 x #s(approx (+ (* 1/3 (sqrt (/ 1 (* x (* x x))))) (* (sqrt (/ 1 x)) (+ (* 3 y) -3))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 3 binary64) y)))))
(*.f64 x #s(approx (+ (* 1/3 (sqrt (/ 1 (* x (* x x))))) (* (sqrt (/ 1 x)) (+ (* 3 y) -3))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 3 binary64) y))))
x
#s(approx (+ (* 1/3 (sqrt (/ 1 (* x (* x x))))) (* (sqrt (/ 1 x)) (+ (* 3 y) -3))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 3 binary64) y)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 3 binary64) y))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
(*.f64 #s(literal 3 binary64) y)
#s(literal 3 binary64)
y
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (fma.f64 (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 x) (*.f64 x (/.f64 #s(literal 1/3 binary64) (*.f64 x (sqrt.f64 x))))))
(fma.f64 (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 x) (*.f64 x (/.f64 #s(literal 1/3 binary64) (*.f64 x (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 x (/.f64 #s(literal 1/3 binary64) (*.f64 x (sqrt.f64 x))))
(/.f64 #s(literal 1/3 binary64) (*.f64 x (sqrt.f64 x)))
#s(literal 1/3 binary64)
(*.f64 x (sqrt.f64 x))
Outputs
(*.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) (+.f64 y #s(literal -1 binary64))) (sqrt.f64 x)) #s(literal 3 binary64))
(*.f64 (sqrt.f64 x) (+.f64 #s(literal -3 binary64) (fma.f64 y #s(literal 3 binary64) (/.f64 #s(literal 1/3 binary64) x))))
(*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) (+.f64 y #s(literal -1 binary64))) (sqrt.f64 x))
(*.f64 (+.f64 #s(literal -1 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y)) (sqrt.f64 x))
(+.f64 (/.f64 #s(literal 1/9 binary64) x) (+.f64 y #s(literal -1 binary64)))
(+.f64 #s(literal -1 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y))
(/.f64 #s(literal 1/9 binary64) x)
#s(literal 1/9 binary64)
x
(+.f64 y #s(literal -1 binary64))
y
#s(literal -1 binary64)
(sqrt.f64 x)
#s(literal 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 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64))))
(*.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64))
(*.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64)))
(*.f64 y (sqrt.f64 x))
y
(sqrt.f64 x)
x
#s(literal 3 binary64)
#s(approx (* (+ (/ 1/9 x) (+ y -1)) (* 3 (sqrt x))) (*.f64 (sqrt.f64 x) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))))
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 x) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))))
(*.f64 (sqrt.f64 x) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)))
(sqrt.f64 x)
x
(+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))
#s(literal -3 binary64)
(/.f64 #s(literal 1/3 binary64) x)
#s(literal 1/3 binary64)
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 x #s(approx (+ (* 1/3 (sqrt (/ 1 (* x (* x x))))) (* (sqrt (/ 1 x)) (+ (* 3 y) -3))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 3 binary64) y)))))
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 x #s(approx (+ (* 1/3 (sqrt (/ 1 (* x (* x x))))) (* (sqrt (/ 1 x)) (+ (* 3 y) -3))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal 3 binary64))))))
(*.f64 x #s(approx (+ (* 1/3 (sqrt (/ 1 (* x (* x x))))) (* (sqrt (/ 1 x)) (+ (* 3 y) -3))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 3 binary64) y))))
(*.f64 x #s(approx (+ (* 1/3 (sqrt (/ 1 (* x (* x x))))) (* (sqrt (/ 1 x)) (+ (* 3 y) -3))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal 3 binary64)))))
x
#s(approx (+ (* 1/3 (sqrt (/ 1 (* x (* x x))))) (* (sqrt (/ 1 x)) (+ (* 3 y) -3))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 3 binary64) y)))
#s(approx (+ (* 1/3 (sqrt (/ 1 (* x (* x x))))) (* (sqrt (/ 1 x)) (+ (* 3 y) -3))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal 3 binary64))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 3 binary64) y))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal 3 binary64)))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
(*.f64 #s(literal 3 binary64) y)
(*.f64 y #s(literal 3 binary64))
#s(literal 3 binary64)
y
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (fma.f64 (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 x) (*.f64 x (/.f64 #s(literal 1/3 binary64) (*.f64 x (sqrt.f64 x))))))
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (fma.f64 (sqrt.f64 x) (fma.f64 y #s(literal 3 binary64) #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 x (/.f64 #s(literal 1/3 binary64) (*.f64 x (sqrt.f64 x)))))
(fma.f64 (sqrt.f64 x) (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)) (/.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 x (/.f64 #s(literal 1/3 binary64) (*.f64 x (sqrt.f64 x))))
(/.f64 #s(literal 1/3 binary64) (sqrt.f64 x))
(/.f64 #s(literal 1/3 binary64) (*.f64 x (sqrt.f64 x)))
#s(literal 1/3 binary64)
(*.f64 x (sqrt.f64 x))

localize170.0ms (1.6%)

Memory
38.8MiB live, 269.0MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.16796875
(fma.f64 (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 x) (*.f64 x (/.f64 #s(literal 1/3 binary64) (*.f64 x (sqrt.f64 x)))))
accuracy0.17578125
(*.f64 x (sqrt.f64 x))
accuracy0.5558389529814773
(/.f64 #s(literal 1/3 binary64) (*.f64 x (sqrt.f64 x)))
accuracy21.02197311811692
(*.f64 x (/.f64 #s(literal 1/3 binary64) (*.f64 x (sqrt.f64 x))))
accuracy0.109375
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
accuracy0.3203125
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 3 binary64) y))
accuracy11.89817937750882
(*.f64 x #s(approx (+ (* 1/3 (sqrt (/ 1 (* x (* x x))))) (* (sqrt (/ 1 x)) (+ (* 3 y) -3))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 3 binary64) y))))
accuracy42.281660213056995
#s(approx (+ (* 1/3 (sqrt (/ 1 (* x (* x x))))) (* (sqrt (/ 1 x)) (+ (* 3 y) -3))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 3 binary64) y)))
accuracy0.00390625
(+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))
accuracy0.33203125
(*.f64 (sqrt.f64 x) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)))
accuracy0.3359375
(/.f64 #s(literal 1/3 binary64) x)
accuracy19.35444403037922
#s(approx (* (+ (/ 1/9 x) (+ y -1)) (* 3 (sqrt x))) (*.f64 (sqrt.f64 x) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))))
accuracy0
(sqrt.f64 x)
accuracy0.2265625
(*.f64 y (sqrt.f64 x))
accuracy0.27734375
(*.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64))
accuracy43.824173661245936
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64)))
accuracy0.01171875
(+.f64 (/.f64 #s(literal 1/9 binary64) x) (+.f64 y #s(literal -1 binary64)))
accuracy0.244472509768442
(*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) (+.f64 y #s(literal -1 binary64))) (sqrt.f64 x))
accuracy0.265625
(*.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) (+.f64 y #s(literal -1 binary64))) (sqrt.f64 x)) #s(literal 3 binary64))
accuracy0.359375
(/.f64 #s(literal 1/9 binary64) x)
Samples
110.0ms240×0valid
7.0ms11×1valid
4.0ms2valid
Compiler

Compiled 247 to 49 computations (80.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 96.0ms
ival-mult: 57.0ms (59.4% of total)
ival-div: 10.0ms (10.4% of total)
ival-add: 10.0ms (10.4% of total)
const: 10.0ms (10.4% of total)
ival-sqrt: 5.0ms (5.2% of total)
adjust: 1.0ms (1% of total)
ival-sub: 1.0ms (1% of total)
exact: 1.0ms (1% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series36.0ms (0.3%)

Memory
-45.4MiB live, 58.8MiB allocated
Counts
23 → 432
Calls
Call 1
Inputs
#s(alt (*.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) (+.f64 y #s(literal -1 binary64))) (sqrt.f64 x)) #s(literal 3 binary64)) (patch (*.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) (+.f64 y #s(literal -1 binary64))) (sqrt.f64 x)) #s(literal 3 binary64)) #<representation binary64>) () ())
#s(alt (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) (+.f64 y #s(literal -1 binary64))) (sqrt.f64 x)) (patch (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) (+.f64 y #s(literal -1 binary64))) (sqrt.f64 x)) #<representation binary64>) () ())
#s(alt (+.f64 (/.f64 #s(literal 1/9 binary64) x) (+.f64 y #s(literal -1 binary64))) (patch (+.f64 (/.f64 #s(literal 1/9 binary64) x) (+.f64 y #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 #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 (sqrt.f64 x) (patch (sqrt.f64 x) #<representation binary64>) () ())
#s(alt #s(approx (* (+ (/ 1/9 x) (+ y -1)) (* 3 (sqrt x))) (*.f64 (sqrt.f64 x) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)))) (patch #s(approx (* (+ (/ 1/9 x) (+ y -1)) (* 3 (sqrt x))) (*.f64 (sqrt.f64 x) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)))) #<representation binary64>) () ())
#s(alt (*.f64 (sqrt.f64 x) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))) (patch (*.f64 (sqrt.f64 x) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))) #<representation binary64>) () ())
#s(alt (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)) (patch (+.f64 #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 x #s(approx (+ (* 1/3 (sqrt (/ 1 (* x (* x x))))) (* (sqrt (/ 1 x)) (+ (* 3 y) -3))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 3 binary64) y))))) (patch #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 x #s(approx (+ (* 1/3 (sqrt (/ 1 (* x (* x x))))) (* (sqrt (/ 1 x)) (+ (* 3 y) -3))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 3 binary64) y))))) #<representation binary64>) () ())
#s(alt (*.f64 x #s(approx (+ (* 1/3 (sqrt (/ 1 (* x (* x x))))) (* (sqrt (/ 1 x)) (+ (* 3 y) -3))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 3 binary64) y)))) (patch (*.f64 x #s(approx (+ (* 1/3 (sqrt (/ 1 (* x (* x x))))) (* (sqrt (/ 1 x)) (+ (* 3 y) -3))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 3 binary64) y)))) #<representation binary64>) () ())
#s(alt #s(approx (+ (* 1/3 (sqrt (/ 1 (* x (* x x))))) (* (sqrt (/ 1 x)) (+ (* 3 y) -3))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 3 binary64) y))) (patch #s(approx (+ (* 1/3 (sqrt (/ 1 (* x (* x x))))) (* (sqrt (/ 1 x)) (+ (* 3 y) -3))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 3 binary64) y))) #<representation binary64>) () ())
#s(alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 3 binary64) y)) (patch (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 3 binary64) y)) #<representation binary64>) () ())
#s(alt (*.f64 x (/.f64 #s(literal 1/3 binary64) (*.f64 x (sqrt.f64 x)))) (patch (*.f64 x (/.f64 #s(literal 1/3 binary64) (*.f64 x (sqrt.f64 x)))) #<representation binary64>) () ())
#s(alt #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (fma.f64 (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 x) (*.f64 x (/.f64 #s(literal 1/3 binary64) (*.f64 x (sqrt.f64 x)))))) (patch #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (fma.f64 (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 x) (*.f64 x (/.f64 #s(literal 1/3 binary64) (*.f64 x (sqrt.f64 x)))))) #<representation binary64>) () ())
#s(alt (fma.f64 (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 x) (*.f64 x (/.f64 #s(literal 1/3 binary64) (*.f64 x (sqrt.f64 x))))) (patch (fma.f64 (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 x) (*.f64 x (/.f64 #s(literal 1/3 binary64) (*.f64 x (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 (/.f64 #s(literal 1/3 binary64) x) (patch (/.f64 #s(literal 1/3 binary64) 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 (/.f64 #s(literal 1/3 binary64) (*.f64 x (sqrt.f64 x))) (patch (/.f64 #s(literal 1/3 binary64) (*.f64 x (sqrt.f64 x))) #<representation binary64>) () ())
#s(alt (*.f64 x (sqrt.f64 x)) (patch (*.f64 x (sqrt.f64 x)) #<representation binary64>) () ())
Outputs
#s(alt (* 1/3 (sqrt (/ 1 x))) (taylor 0 x) (#s(alt (*.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) (+.f64 y #s(literal -1 binary64))) (sqrt.f64 x)) #s(literal 3 binary64)) (patch (*.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) (+.f64 y #s(literal -1 binary64))) (sqrt.f64 x)) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) (- y 1)))) x) (taylor 0 x) (#s(alt (*.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) (+.f64 y #s(literal -1 binary64))) (sqrt.f64 x)) #s(literal 3 binary64)) (patch (*.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) (+.f64 y #s(literal -1 binary64))) (sqrt.f64 x)) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) (- y 1)))) x) (taylor 0 x) (#s(alt (*.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) (+.f64 y #s(literal -1 binary64))) (sqrt.f64 x)) #s(literal 3 binary64)) (patch (*.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) (+.f64 y #s(literal -1 binary64))) (sqrt.f64 x)) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) (- y 1)))) x) (taylor 0 x) (#s(alt (*.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) (+.f64 y #s(literal -1 binary64))) (sqrt.f64 x)) #s(literal 3 binary64)) (patch (*.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) (+.f64 y #s(literal -1 binary64))) (sqrt.f64 x)) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 3 (* (sqrt x) (- y 1))) (taylor inf x) (#s(alt (*.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) (+.f64 y #s(literal -1 binary64))) (sqrt.f64 x)) #s(literal 3 binary64)) (patch (*.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) (+.f64 y #s(literal -1 binary64))) (sqrt.f64 x)) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) (- y 1))))) (taylor inf x) (#s(alt (*.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) (+.f64 y #s(literal -1 binary64))) (sqrt.f64 x)) #s(literal 3 binary64)) (patch (*.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) (+.f64 y #s(literal -1 binary64))) (sqrt.f64 x)) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) (- y 1))))) (taylor inf x) (#s(alt (*.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) (+.f64 y #s(literal -1 binary64))) (sqrt.f64 x)) #s(literal 3 binary64)) (patch (*.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) (+.f64 y #s(literal -1 binary64))) (sqrt.f64 x)) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) (- y 1))))) (taylor inf x) (#s(alt (*.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) (+.f64 y #s(literal -1 binary64))) (sqrt.f64 x)) #s(literal 3 binary64)) (patch (*.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) (+.f64 y #s(literal -1 binary64))) (sqrt.f64 x)) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -3 (* (sqrt x) (* (pow (sqrt -1) 2) (- y 1)))) (taylor -inf x) (#s(alt (*.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) (+.f64 y #s(literal -1 binary64))) (sqrt.f64 x)) #s(literal 3 binary64)) (patch (*.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) (+.f64 y #s(literal -1 binary64))) (sqrt.f64 x)) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1))))))) (taylor -inf x) (#s(alt (*.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) (+.f64 y #s(literal -1 binary64))) (sqrt.f64 x)) #s(literal 3 binary64)) (patch (*.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) (+.f64 y #s(literal -1 binary64))) (sqrt.f64 x)) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1))))))) (taylor -inf x) (#s(alt (*.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) (+.f64 y #s(literal -1 binary64))) (sqrt.f64 x)) #s(literal 3 binary64)) (patch (*.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) (+.f64 y #s(literal -1 binary64))) (sqrt.f64 x)) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1))))))) (taylor -inf x) (#s(alt (*.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) (+.f64 y #s(literal -1 binary64))) (sqrt.f64 x)) #s(literal 3 binary64)) (patch (*.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) (+.f64 y #s(literal -1 binary64))) (sqrt.f64 x)) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1))) (taylor 0 y) (#s(alt (*.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) (+.f64 y #s(literal -1 binary64))) (sqrt.f64 x)) #s(literal 3 binary64)) (patch (*.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) (+.f64 y #s(literal -1 binary64))) (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 (*.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) (+.f64 y #s(literal -1 binary64))) (sqrt.f64 x)) #s(literal 3 binary64)) (patch (*.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) (+.f64 y #s(literal -1 binary64))) (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 (*.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) (+.f64 y #s(literal -1 binary64))) (sqrt.f64 x)) #s(literal 3 binary64)) (patch (*.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) (+.f64 y #s(literal -1 binary64))) (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 (*.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) (+.f64 y #s(literal -1 binary64))) (sqrt.f64 x)) #s(literal 3 binary64)) (patch (*.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) (+.f64 y #s(literal -1 binary64))) (sqrt.f64 x)) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 3 (* (sqrt x) y)) (taylor inf y) (#s(alt (*.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) (+.f64 y #s(literal -1 binary64))) (sqrt.f64 x)) #s(literal 3 binary64)) (patch (*.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) (+.f64 y #s(literal -1 binary64))) (sqrt.f64 x)) #s(literal 3 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 (+.f64 (/.f64 #s(literal 1/9 binary64) x) (+.f64 y #s(literal -1 binary64))) (sqrt.f64 x)) #s(literal 3 binary64)) (patch (*.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) (+.f64 y #s(literal -1 binary64))) (sqrt.f64 x)) #s(literal 3 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 (+.f64 (/.f64 #s(literal 1/9 binary64) x) (+.f64 y #s(literal -1 binary64))) (sqrt.f64 x)) #s(literal 3 binary64)) (patch (*.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) (+.f64 y #s(literal -1 binary64))) (sqrt.f64 x)) #s(literal 3 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 (+.f64 (/.f64 #s(literal 1/9 binary64) x) (+.f64 y #s(literal -1 binary64))) (sqrt.f64 x)) #s(literal 3 binary64)) (patch (*.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) (+.f64 y #s(literal -1 binary64))) (sqrt.f64 x)) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 3 (* (sqrt x) y)) (taylor -inf y) (#s(alt (*.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) (+.f64 y #s(literal -1 binary64))) (sqrt.f64 x)) #s(literal 3 binary64)) (patch (*.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) (+.f64 y #s(literal -1 binary64))) (sqrt.f64 x)) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
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#s(alt (* y (- 3 (* 3 (/ 1 y)))) (taylor inf 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) (taylor -inf 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 (* -1 (* y (- (* 3 (/ 1 y)) 3))) (taylor -inf 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 (* -1 (* y (- (* 3 (/ 1 y)) 3))) (taylor -inf 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 (* -1 (* y (- (* 3 (/ 1 y)) 3))) (taylor -inf 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 (/ 1/3 x) (taylor 0 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 0 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 0 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 0 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 (/ 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 (/ 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 (sqrt (/ 1 x)) (taylor 0 x) (#s(alt (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (patch (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (sqrt (/ 1 x)) (taylor 0 x) (#s(alt (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (patch (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (sqrt (/ 1 x)) (taylor 0 x) (#s(alt (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (patch (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (sqrt (/ 1 x)) (taylor 0 x) (#s(alt (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (patch (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (sqrt (/ 1 x)) (taylor inf x) (#s(alt (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (patch (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (sqrt (/ 1 x)) (taylor inf x) (#s(alt (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (patch (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (sqrt (/ 1 x)) (taylor inf x) (#s(alt (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (patch (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (sqrt (/ 1 x)) (taylor inf x) (#s(alt (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (patch (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (taylor -inf x) (#s(alt (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (patch (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (taylor -inf x) (#s(alt (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (patch (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (taylor -inf x) (#s(alt (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (patch (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (taylor -inf x) (#s(alt (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (patch (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (sqrt (/ 1 (pow x 3)))) (taylor 0 x) (#s(alt (/.f64 #s(literal 1/3 binary64) (*.f64 x (sqrt.f64 x))) (patch (/.f64 #s(literal 1/3 binary64) (*.f64 x (sqrt.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (sqrt (/ 1 (pow x 3)))) (taylor 0 x) (#s(alt (/.f64 #s(literal 1/3 binary64) (*.f64 x (sqrt.f64 x))) (patch (/.f64 #s(literal 1/3 binary64) (*.f64 x (sqrt.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (sqrt (/ 1 (pow x 3)))) (taylor 0 x) (#s(alt (/.f64 #s(literal 1/3 binary64) (*.f64 x (sqrt.f64 x))) (patch (/.f64 #s(literal 1/3 binary64) (*.f64 x (sqrt.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (sqrt (/ 1 (pow x 3)))) (taylor 0 x) (#s(alt (/.f64 #s(literal 1/3 binary64) (*.f64 x (sqrt.f64 x))) (patch (/.f64 #s(literal 1/3 binary64) (*.f64 x (sqrt.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (sqrt (/ 1 (pow x 3)))) (taylor inf x) (#s(alt (/.f64 #s(literal 1/3 binary64) (*.f64 x (sqrt.f64 x))) (patch (/.f64 #s(literal 1/3 binary64) (*.f64 x (sqrt.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (sqrt (/ 1 (pow x 3)))) (taylor inf x) (#s(alt (/.f64 #s(literal 1/3 binary64) (*.f64 x (sqrt.f64 x))) (patch (/.f64 #s(literal 1/3 binary64) (*.f64 x (sqrt.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (sqrt (/ 1 (pow x 3)))) (taylor inf x) (#s(alt (/.f64 #s(literal 1/3 binary64) (*.f64 x (sqrt.f64 x))) (patch (/.f64 #s(literal 1/3 binary64) (*.f64 x (sqrt.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (sqrt (/ 1 (pow x 3)))) (taylor inf x) (#s(alt (/.f64 #s(literal 1/3 binary64) (*.f64 x (sqrt.f64 x))) (patch (/.f64 #s(literal 1/3 binary64) (*.f64 x (sqrt.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (sqrt (/ 1 (pow x 3)))) (taylor -inf x) (#s(alt (/.f64 #s(literal 1/3 binary64) (*.f64 x (sqrt.f64 x))) (patch (/.f64 #s(literal 1/3 binary64) (*.f64 x (sqrt.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (sqrt (/ 1 (pow x 3)))) (taylor -inf x) (#s(alt (/.f64 #s(literal 1/3 binary64) (*.f64 x (sqrt.f64 x))) (patch (/.f64 #s(literal 1/3 binary64) (*.f64 x (sqrt.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (sqrt (/ 1 (pow x 3)))) (taylor -inf x) (#s(alt (/.f64 #s(literal 1/3 binary64) (*.f64 x (sqrt.f64 x))) (patch (/.f64 #s(literal 1/3 binary64) (*.f64 x (sqrt.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (sqrt (/ 1 (pow x 3)))) (taylor -inf x) (#s(alt (/.f64 #s(literal 1/3 binary64) (*.f64 x (sqrt.f64 x))) (patch (/.f64 #s(literal 1/3 binary64) (*.f64 x (sqrt.f64 x))) #<representation binary64>) () ())) ())
#s(alt (sqrt (pow x 3)) (taylor 0 x) (#s(alt (*.f64 x (sqrt.f64 x)) (patch (*.f64 x (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (sqrt (pow x 3)) (taylor 0 x) (#s(alt (*.f64 x (sqrt.f64 x)) (patch (*.f64 x (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (sqrt (pow x 3)) (taylor 0 x) (#s(alt (*.f64 x (sqrt.f64 x)) (patch (*.f64 x (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (sqrt (pow x 3)) (taylor 0 x) (#s(alt (*.f64 x (sqrt.f64 x)) (patch (*.f64 x (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (sqrt (pow x 3)) (taylor inf x) (#s(alt (*.f64 x (sqrt.f64 x)) (patch (*.f64 x (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (sqrt (pow x 3)) (taylor inf x) (#s(alt (*.f64 x (sqrt.f64 x)) (patch (*.f64 x (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (sqrt (pow x 3)) (taylor inf x) (#s(alt (*.f64 x (sqrt.f64 x)) (patch (*.f64 x (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (sqrt (pow x 3)) (taylor inf x) (#s(alt (*.f64 x (sqrt.f64 x)) (patch (*.f64 x (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (sqrt (pow x 3)) (pow (sqrt -1) 2))) (taylor -inf x) (#s(alt (*.f64 x (sqrt.f64 x)) (patch (*.f64 x (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (sqrt (pow x 3)) (pow (sqrt -1) 2))) (taylor -inf x) (#s(alt (*.f64 x (sqrt.f64 x)) (patch (*.f64 x (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (sqrt (pow x 3)) (pow (sqrt -1) 2))) (taylor -inf x) (#s(alt (*.f64 x (sqrt.f64 x)) (patch (*.f64 x (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (sqrt (pow x 3)) (pow (sqrt -1) 2))) (taylor -inf x) (#s(alt (*.f64 x (sqrt.f64 x)) (patch (*.f64 x (sqrt.f64 x)) #<representation binary64>) () ())) ())
Calls

108 calls:

TimeVariablePointExpression
5.0ms
x
@inf
(* (+ (/ 1/9 x) (+ y -1)) (sqrt x))
1.0ms
x
@-inf
(* x (/ 1/3 (* x (sqrt x))))
1.0ms
y
@0
(* (sqrt (/ 1 x)) (* 3 y))
1.0ms
x
@-inf
(* (sqrt x) (+ -3 (/ 1/3 x)))
0.0ms
y
@inf
(* (sqrt (/ 1 x)) (* 3 y))

simplify303.0ms (2.8%)

Memory
25.0MiB live, 585.2MiB allocated
Algorithm
egg-herbie
Rules
13 476×lower-fma.f64
13 476×lower-fma.f32
4 404×lower-*.f64
4 404×lower-*.f32
2 344×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01954512
15794384
220104380
341984363
085834068
Stop Event
iter limit
node limit
Counts
432 → 430
Calls
Call 1
Inputs
(* 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 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) (* (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) (- (* 1/9 (/ 1 x)) 1)))
(+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1))))
(+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1))))
(+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1))))
(* 3 (* (sqrt x) y))
(* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))
(* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))
(* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))
(* 3 (* (sqrt x) y))
(* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))))
(* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))))
(* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))))
(* 1/9 (sqrt (/ 1 x)))
(/ (+ (* 1/9 (sqrt x)) (* (sqrt (pow x 3)) (- y 1))) x)
(/ (+ (* 1/9 (sqrt x)) (* (sqrt (pow x 3)) (- y 1))) x)
(/ (+ (* 1/9 (sqrt x)) (* (sqrt (pow x 3)) (- y 1))) x)
(* (sqrt x) (- y 1))
(* x (+ (* 1/9 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (- y 1))))
(* x (+ (* 1/9 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (- y 1))))
(* x (+ (* 1/9 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (- y 1))))
(* -1 (* (sqrt x) (* (pow (sqrt -1) 2) (- y 1))))
(* -1 (* x (+ (* 1/9 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1))))))
(* -1 (* x (+ (* 1/9 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1))))))
(* -1 (* x (+ (* 1/9 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1))))))
(* (sqrt x) (- (* 1/9 (/ 1 x)) 1))
(+ (* (sqrt x) y) (* (sqrt x) (- (* 1/9 (/ 1 x)) 1)))
(+ (* (sqrt x) y) (* (sqrt x) (- (* 1/9 (/ 1 x)) 1)))
(+ (* (sqrt x) y) (* (sqrt x) (- (* 1/9 (/ 1 x)) 1)))
(* (sqrt x) y)
(* y (+ (sqrt x) (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))
(* y (+ (sqrt x) (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))
(* y (+ (sqrt x) (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))
(* (sqrt x) y)
(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))))
(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))))
(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))))
(/ 1/9 x)
(/ (+ 1/9 (* x (- y 1))) x)
(/ (+ 1/9 (* x (- y 1))) x)
(/ (+ 1/9 (* x (- y 1))) x)
(- y 1)
(- (+ y (* 1/9 (/ 1 x))) 1)
(- (+ y (* 1/9 (/ 1 x))) 1)
(- (+ y (* 1/9 (/ 1 x))) 1)
(- y 1)
(- (+ y (* 1/9 (/ 1 x))) 1)
(- (+ y (* 1/9 (/ 1 x))) 1)
(- (+ y (* 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)
y
(* y (- (+ 1 (/ 1/9 (* x y))) (/ 1 y)))
(* y (- (+ 1 (/ 1/9 (* x y))) (/ 1 y)))
(* y (- (+ 1 (/ 1/9 (* x y))) (/ 1 y)))
y
(* -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)
(/ 1/9 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) (- 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) (* (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) (- (* 1/9 (/ 1 x)) 1)))
(+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1))))
(+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1))))
(+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1))))
(* 3 (* (sqrt x) y))
(* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))
(* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))
(* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))
(* 3 (* (sqrt x) y))
(* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))))
(* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))))
(* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))))
(* 3 (* (sqrt x) y))
(* 3 (* (sqrt x) y))
(* 3 (* (sqrt x) y))
(* 3 (* (sqrt x) y))
(* 3 (* (sqrt x) y))
(* 3 (* (sqrt x) y))
(* 3 (* (sqrt x) y))
(* 3 (* (sqrt x) y))
(* 3 (* (sqrt x) y))
(* 3 (* (sqrt x) y))
(* 3 (* (sqrt x) y))
(* 3 (* (sqrt x) y))
(* 3 (* (sqrt x) y))
(* 3 (* (sqrt x) y))
(* 3 (* (sqrt x) y))
(* 3 (* (sqrt x) y))
(* 3 (* (sqrt x) y))
(* 3 (* (sqrt x) y))
(* 3 (* (sqrt x) y))
(* 3 (* (sqrt x) y))
(* -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))))
(* (sqrt x) y)
(* (sqrt x) y)
(* (sqrt x) y)
(* (sqrt x) y)
(* (sqrt x) y)
(* (sqrt x) y)
(* (sqrt x) y)
(* (sqrt x) y)
(* (sqrt x) y)
(* (sqrt x) y)
(* (sqrt x) y)
(* (sqrt x) y)
(* (sqrt x) y)
(* (sqrt x) y)
(* (sqrt x) y)
(* (sqrt x) y)
(* (sqrt x) y)
(* (sqrt x) y)
(* (sqrt x) y)
(* (sqrt x) y)
(* -1 (* (sqrt x) (* y (pow (sqrt -1) 2))))
(* -1 (* (sqrt x) (* y (pow (sqrt -1) 2))))
(* -1 (* (sqrt x) (* y (pow (sqrt -1) 2))))
(* -1 (* (sqrt x) (* y (pow (sqrt -1) 2))))
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(* -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)))
(* 1/3 (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 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) (* (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) (- (* 1/9 (/ 1 x)) 1)))
(+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1))))
(+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1))))
(+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1))))
(* 3 (* (sqrt x) y))
(* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))
(* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))
(* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))
(* 3 (* (sqrt x) y))
(* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))))
(* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))))
(* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))))
(* 1/3 (sqrt (/ 1 x)))
(/ (+ (* -3 (sqrt (pow x 3))) (* 1/3 (sqrt x))) x)
(/ (+ (* -3 (sqrt (pow x 3))) (* 1/3 (sqrt x))) x)
(/ (+ (* -3 (sqrt (pow x 3))) (* 1/3 (sqrt x))) x)
(* -3 (sqrt x))
(* x (+ (* -3 (sqrt (/ 1 x))) (* 1/3 (sqrt (/ 1 (pow x 3))))))
(* x (+ (* -3 (sqrt (/ 1 x))) (* 1/3 (sqrt (/ 1 (pow x 3))))))
(* x (+ (* -3 (sqrt (/ 1 x))) (* 1/3 (sqrt (/ 1 (pow x 3))))))
(* 3 (* (sqrt x) (pow (sqrt -1) 2)))
(* -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))))))
(/ 1/3 x)
(/ (+ 1/3 (* -3 x)) x)
(/ (+ 1/3 (* -3 x)) x)
(/ (+ 1/3 (* -3 x)) x)
-3
(- (* 1/3 (/ 1 x)) 3)
(- (* 1/3 (/ 1 x)) 3)
(- (* 1/3 (/ 1 x)) 3)
-3
(- (* 1/3 (/ 1 x)) 3)
(- (* 1/3 (/ 1 x)) 3)
(- (* 1/3 (/ 1 x)) 3)
(* 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 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) (* (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) (- (* 1/9 (/ 1 x)) 1)))
(+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1))))
(+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1))))
(+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1))))
(* 3 (* (sqrt x) y))
(* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))
(* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))
(* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))
(* 3 (* (sqrt x) y))
(* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))))
(* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))))
(* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))))
(* 1/3 (sqrt (/ 1 x)))
(/ (+ (* 1/3 (sqrt x)) (* (sqrt (pow x 3)) (- (* 3 y) 3))) x)
(/ (+ (* 1/3 (sqrt x)) (* (sqrt (pow x 3)) (- (* 3 y) 3))) x)
(/ (+ (* 1/3 (sqrt x)) (* (sqrt (pow x 3)) (- (* 3 y) 3))) x)
(* (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) (* (pow (sqrt -1) 2) (- (* 3 y) 3)))
(* -1 (* x (+ (* -1 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- (* 3 y) 3)))) (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))))))
(* -1 (* x (+ (* -1 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- (* 3 y) 3)))) (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))))))
(* -1 (* x (+ (* -1 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- (* 3 y) 3)))) (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))))))
(* x (+ (* -3 (sqrt (/ 1 x))) (* 1/3 (sqrt (/ 1 (pow x 3))))))
(+ (* 3 (* (sqrt x) y)) (* x (+ (* -3 (sqrt (/ 1 x))) (* 1/3 (sqrt (/ 1 (pow x 3)))))))
(+ (* 3 (* (sqrt x) y)) (* x (+ (* -3 (sqrt (/ 1 x))) (* 1/3 (sqrt (/ 1 (pow x 3)))))))
(+ (* 3 (* (sqrt x) y)) (* x (+ (* -3 (sqrt (/ 1 x))) (* 1/3 (sqrt (/ 1 (pow x 3)))))))
(* 3 (* (sqrt x) y))
(* y (+ (* 3 (sqrt x)) (/ (* x (+ (* -3 (sqrt (/ 1 x))) (* 1/3 (sqrt (/ 1 (pow x 3)))))) y)))
(* y (+ (* 3 (sqrt x)) (/ (* x (+ (* -3 (sqrt (/ 1 x))) (* 1/3 (sqrt (/ 1 (pow x 3)))))) y)))
(* y (+ (* 3 (sqrt x)) (/ (* x (+ (* -3 (sqrt (/ 1 x))) (* 1/3 (sqrt (/ 1 (pow x 3)))))) y)))
(* 3 (* (sqrt x) y))
(* -1 (* y (+ (* -3 (sqrt x)) (* -1 (/ (* x (+ (* -3 (sqrt (/ 1 x))) (* 1/3 (sqrt (/ 1 (pow x 3)))))) y)))))
(* -1 (* y (+ (* -3 (sqrt x)) (* -1 (/ (* x (+ (* -3 (sqrt (/ 1 x))) (* 1/3 (sqrt (/ 1 (pow x 3)))))) y)))))
(* -1 (* y (+ (* -3 (sqrt x)) (* -1 (/ (* x (+ (* -3 (sqrt (/ 1 x))) (* 1/3 (sqrt (/ 1 (pow x 3)))))) y)))))
(* 1/3 (sqrt (/ 1 (pow x 3))))
(/ (+ (* 1/3 (sqrt x)) (* (sqrt (pow x 3)) (- (* 3 y) 3))) (pow x 2))
(/ (+ (* 1/3 (sqrt x)) (* (sqrt (pow x 3)) (- (* 3 y) 3))) (pow x 2))
(/ (+ (* 1/3 (sqrt x)) (* (sqrt (pow x 3)) (- (* 3 y) 3))) (pow x 2))
(* (sqrt (/ 1 x)) (- (* 3 y) 3))
(+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (- (* 3 y) 3)))
(+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (- (* 3 y) 3)))
(+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (- (* 3 y) 3)))
(* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- (* 3 y) 3)))
(+ (* -1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- (* 3 y) 3))))
(+ (* -1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- (* 3 y) 3))))
(+ (* -1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- (* 3 y) 3))))
(+ (* -3 (sqrt (/ 1 x))) (* 1/3 (sqrt (/ 1 (pow x 3)))))
(+ (* -3 (sqrt (/ 1 x))) (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) y))))
(+ (* -3 (sqrt (/ 1 x))) (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) y))))
(+ (* -3 (sqrt (/ 1 x))) (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) y))))
(* 3 (* (sqrt (/ 1 x)) y))
(* y (+ (* -3 (* (sqrt (/ 1 x)) (/ 1 y))) (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (/ 1 y))) (* 3 (sqrt (/ 1 x))))))
(* y (+ (* -3 (* (sqrt (/ 1 x)) (/ 1 y))) (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (/ 1 y))) (* 3 (sqrt (/ 1 x))))))
(* y (+ (* -3 (* (sqrt (/ 1 x)) (/ 1 y))) (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (/ 1 y))) (* 3 (sqrt (/ 1 x))))))
(* 3 (* (sqrt (/ 1 x)) y))
(* -1 (* y (+ (* -3 (sqrt (/ 1 x))) (* -1 (/ (+ (* -3 (sqrt (/ 1 x))) (* 1/3 (sqrt (/ 1 (pow x 3))))) y)))))
(* -1 (* y (+ (* -3 (sqrt (/ 1 x))) (* -1 (/ (+ (* -3 (sqrt (/ 1 x))) (* 1/3 (sqrt (/ 1 (pow x 3))))) y)))))
(* -1 (* y (+ (* -3 (sqrt (/ 1 x))) (* -1 (/ (+ (* -3 (sqrt (/ 1 x))) (* 1/3 (sqrt (/ 1 (pow x 3))))) y)))))
(* 3 (* (sqrt (/ 1 x)) y))
(* 3 (* (sqrt (/ 1 x)) y))
(* 3 (* (sqrt (/ 1 x)) y))
(* 3 (* (sqrt (/ 1 x)) y))
(* 3 (* (sqrt (/ 1 x)) y))
(* 3 (* (sqrt (/ 1 x)) y))
(* 3 (* (sqrt (/ 1 x)) y))
(* 3 (* (sqrt (/ 1 x)) y))
(* 3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))
(* 3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))
(* 3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))
(* 3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))
(* 3 (* (sqrt (/ 1 x)) y))
(* 3 (* (sqrt (/ 1 x)) y))
(* 3 (* (sqrt (/ 1 x)) y))
(* 3 (* (sqrt (/ 1 x)) y))
(* 3 (* (sqrt (/ 1 x)) y))
(* 3 (* (sqrt (/ 1 x)) y))
(* 3 (* (sqrt (/ 1 x)) y))
(* 3 (* (sqrt (/ 1 x)) y))
(* 3 (* (sqrt (/ 1 x)) y))
(* 3 (* (sqrt (/ 1 x)) y))
(* 3 (* (sqrt (/ 1 x)) y))
(* 3 (* (sqrt (/ 1 x)) y))
(* 1/3 (sqrt (/ 1 x)))
(* 1/3 (sqrt (/ 1 x)))
(* 1/3 (sqrt (/ 1 x)))
(* 1/3 (sqrt (/ 1 x)))
(* 1/3 (sqrt (/ 1 x)))
(* 1/3 (sqrt (/ 1 x)))
(* 1/3 (sqrt (/ 1 x)))
(* 1/3 (sqrt (/ 1 x)))
(* 1/3 (sqrt (/ 1 x)))
(* 1/3 (sqrt (/ 1 x)))
(* 1/3 (sqrt (/ 1 x)))
(* 1/3 (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 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) (* (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) (- (* 1/9 (/ 1 x)) 1)))
(+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1))))
(+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1))))
(+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1))))
(* 3 (* (sqrt x) y))
(* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))
(* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))
(* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))
(* 3 (* (sqrt x) y))
(* -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)) (* 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) 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))
(* -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)))))
(* 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) (- (* 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))))
(* -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))))))
-3
(- (* 3 y) 3)
(- (* 3 y) 3)
(- (* 3 y) 3)
(* 3 y)
(* y (- 3 (* 3 (/ 1 y))))
(* y (- 3 (* 3 (/ 1 y))))
(* y (- 3 (* 3 (/ 1 y))))
(* 3 y)
(* -1 (* y (- (* 3 (/ 1 y)) 3)))
(* -1 (* y (- (* 3 (/ 1 y)) 3)))
(* -1 (* y (- (* 3 (/ 1 y)) 3)))
(/ 1/3 x)
(/ 1/3 x)
(/ 1/3 x)
(/ 1/3 x)
(/ 1/3 x)
(/ 1/3 x)
(/ 1/3 x)
(/ 1/3 x)
(/ 1/3 x)
(/ 1/3 x)
(/ 1/3 x)
(/ 1/3 x)
(sqrt (/ 1 x))
(sqrt (/ 1 x))
(sqrt (/ 1 x))
(sqrt (/ 1 x))
(sqrt (/ 1 x))
(sqrt (/ 1 x))
(sqrt (/ 1 x))
(sqrt (/ 1 x))
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2))
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2))
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2))
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2))
(* 1/3 (sqrt (/ 1 (pow x 3))))
(* 1/3 (sqrt (/ 1 (pow x 3))))
(* 1/3 (sqrt (/ 1 (pow x 3))))
(* 1/3 (sqrt (/ 1 (pow x 3))))
(* 1/3 (sqrt (/ 1 (pow x 3))))
(* 1/3 (sqrt (/ 1 (pow x 3))))
(* 1/3 (sqrt (/ 1 (pow x 3))))
(* 1/3 (sqrt (/ 1 (pow x 3))))
(* 1/3 (sqrt (/ 1 (pow x 3))))
(* 1/3 (sqrt (/ 1 (pow x 3))))
(* 1/3 (sqrt (/ 1 (pow x 3))))
(* 1/3 (sqrt (/ 1 (pow x 3))))
(sqrt (pow x 3))
(sqrt (pow x 3))
(sqrt (pow x 3))
(sqrt (pow x 3))
(sqrt (pow x 3))
(sqrt (pow x 3))
(sqrt (pow x 3))
(sqrt (pow x 3))
(* -1 (* (sqrt (pow x 3)) (pow (sqrt -1) 2)))
(* -1 (* (sqrt (pow x 3)) (pow (sqrt -1) 2)))
(* -1 (* (sqrt (pow x 3)) (pow (sqrt -1) 2)))
(* -1 (* (sqrt (pow x 3)) (pow (sqrt -1) 2)))
Outputs
(* 1/3 (sqrt (/ 1 x)))
(*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) (- y 1)))) x)
(/.f64 (fma.f64 (sqrt.f64 (*.f64 x (*.f64 x x))) (fma.f64 #s(literal 3 binary64) y #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 (sqrt.f64 (*.f64 x (*.f64 x x))) (fma.f64 #s(literal 3 binary64) y #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 (sqrt.f64 (*.f64 x (*.f64 x x))) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) x)
(* 3 (* (sqrt x) (- y 1)))
(*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)))
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) (- y 1)))))
(*.f64 x (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)))))
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) (- y 1)))))
(*.f64 x (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)))))
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) (- y 1)))))
(*.f64 x (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)))))
(* -3 (* (sqrt x) (* (pow (sqrt -1) 2) (- y 1))))
(*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)))
(* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1)))))))
(*.f64 x (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)))))
(* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1)))))))
(*.f64 x (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)))))
(* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1)))))))
(*.f64 x (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)))))
(* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1)))
(*.f64 (sqrt.f64 x) (+.f64 #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) (+.f64 (fma.f64 #s(literal 3 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) (+.f64 (fma.f64 #s(literal 3 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) (+.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (/.f64 #s(literal 1/3 binary64) x)))
(* 3 (* (sqrt x) y))
(*.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) y))
(* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))
(*.f64 (sqrt.f64 x) (+.f64 (fma.f64 #s(literal 3 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) (+.f64 (fma.f64 #s(literal 3 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) (+.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (/.f64 #s(literal 1/3 binary64) x)))
(* 3 (* (sqrt x) y))
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(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))))
(* 3 (* (sqrt x) y))
(*.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) y))
(* y (+ (* -3 (* (sqrt x) (/ 1 y))) (+ (* 1/3 (* (sqrt (/ 1 x)) (/ 1 y))) (* 3 (sqrt 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))))
(* y (+ (* -3 (* (sqrt x) (/ 1 y))) (+ (* 1/3 (* (sqrt (/ 1 x)) (/ 1 y))) (* 3 (sqrt 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))))
(* y (+ (* -3 (* (sqrt x) (/ 1 y))) (+ (* 1/3 (* (sqrt (/ 1 x)) (/ 1 y))) (* 3 (sqrt 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))))
(* 3 (* (sqrt x) y))
(*.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) y))
(* -1 (* y (+ (* -3 (sqrt x)) (* -1 (/ (+ (* -3 (sqrt x)) (* 1/3 (sqrt (/ 1 x)))) y)))))
(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))))
(* -1 (* y (+ (* -3 (sqrt x)) (* -1 (/ (+ (* -3 (sqrt x)) (* 1/3 (sqrt (/ 1 x)))) y)))))
(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))))
(* -1 (* y (+ (* -3 (sqrt x)) (* -1 (/ (+ (* -3 (sqrt x)) (* 1/3 (sqrt (/ 1 x)))) y)))))
(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))))
(* 1/3 (sqrt (/ 1 x)))
(*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(/ (+ (* 1/3 (sqrt x)) (* (sqrt (pow x 3)) (- (* 3 y) 3))) x)
(/.f64 (fma.f64 (sqrt.f64 (*.f64 x (*.f64 x x))) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) x)
(/ (+ (* 1/3 (sqrt x)) (* (sqrt (pow x 3)) (- (* 3 y) 3))) x)
(/.f64 (fma.f64 (sqrt.f64 (*.f64 x (*.f64 x x))) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) x)
(/ (+ (* 1/3 (sqrt x)) (* (sqrt (pow x 3)) (- (* 3 y) 3))) x)
(/.f64 (fma.f64 (sqrt.f64 (*.f64 x (*.f64 x x))) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) x)
(* (sqrt x) (- (* 3 y) 3))
(*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)))
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (- (* 3 y) 3))))
(*.f64 x (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)))))
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (- (* 3 y) 3))))
(*.f64 x (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)))))
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (- (* 3 y) 3))))
(*.f64 x (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)))))
(* -1 (* (sqrt x) (* (pow (sqrt -1) 2) (- (* 3 y) 3))))
(*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)))
(* -1 (* x (+ (* -1/3 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- (* 3 y) 3))))))
(*.f64 x (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)))))
(* -1 (* x (+ (* -1/3 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- (* 3 y) 3))))))
(*.f64 x (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)))))
(* -1 (* x (+ (* -1/3 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- (* 3 y) 3))))))
(*.f64 x (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)))))
-3
#s(literal -3 binary64)
(- (* 3 y) 3)
(fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))
(- (* 3 y) 3)
(fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))
(- (* 3 y) 3)
(fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))
(* 3 y)
(*.f64 #s(literal 3 binary64) y)
(* y (- 3 (* 3 (/ 1 y))))
(*.f64 y (+.f64 #s(literal 3 binary64) (/.f64 #s(literal -3 binary64) y)))
(* y (- 3 (* 3 (/ 1 y))))
(*.f64 y (+.f64 #s(literal 3 binary64) (/.f64 #s(literal -3 binary64) y)))
(* y (- 3 (* 3 (/ 1 y))))
(*.f64 y (+.f64 #s(literal 3 binary64) (/.f64 #s(literal -3 binary64) y)))
(* 3 y)
(*.f64 #s(literal 3 binary64) y)
(* -1 (* y (- (* 3 (/ 1 y)) 3)))
(*.f64 y (+.f64 #s(literal 3 binary64) (/.f64 #s(literal -3 binary64) y)))
(* -1 (* y (- (* 3 (/ 1 y)) 3)))
(*.f64 y (+.f64 #s(literal 3 binary64) (/.f64 #s(literal -3 binary64) y)))
(* -1 (* y (- (* 3 (/ 1 y)) 3)))
(*.f64 y (+.f64 #s(literal 3 binary64) (/.f64 #s(literal -3 binary64) y)))
(/ 1/3 x)
(/.f64 #s(literal 1/3 binary64) x)
(/ 1/3 x)
(/.f64 #s(literal 1/3 binary64) x)
(/ 1/3 x)
(/.f64 #s(literal 1/3 binary64) x)
(/ 1/3 x)
(/.f64 #s(literal 1/3 binary64) x)
(/ 1/3 x)
(/.f64 #s(literal 1/3 binary64) x)
(/ 1/3 x)
(/.f64 #s(literal 1/3 binary64) x)
(/ 1/3 x)
(/.f64 #s(literal 1/3 binary64) x)
(/ 1/3 x)
(/.f64 #s(literal 1/3 binary64) x)
(/ 1/3 x)
(/.f64 #s(literal 1/3 binary64) x)
(/ 1/3 x)
(/.f64 #s(literal 1/3 binary64) x)
(/ 1/3 x)
(/.f64 #s(literal 1/3 binary64) x)
(/ 1/3 x)
(/.f64 #s(literal 1/3 binary64) x)
(sqrt (/ 1 x))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(sqrt (/ 1 x))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(sqrt (/ 1 x))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(sqrt (/ 1 x))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(sqrt (/ 1 x))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(sqrt (/ 1 x))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(sqrt (/ 1 x))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(sqrt (/ 1 x))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2))
(neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2))
(neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2))
(neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2))
(neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(* 1/3 (sqrt (/ 1 (pow x 3))))
(*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))))
(* 1/3 (sqrt (/ 1 (pow x 3))))
(*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))))
(* 1/3 (sqrt (/ 1 (pow x 3))))
(*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))))
(* 1/3 (sqrt (/ 1 (pow x 3))))
(*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))))
(* 1/3 (sqrt (/ 1 (pow x 3))))
(*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))))
(* 1/3 (sqrt (/ 1 (pow x 3))))
(*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))))
(* 1/3 (sqrt (/ 1 (pow x 3))))
(*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))))
(* 1/3 (sqrt (/ 1 (pow x 3))))
(*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))))
(* 1/3 (sqrt (/ 1 (pow x 3))))
(*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))))
(* 1/3 (sqrt (/ 1 (pow x 3))))
(*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))))
(* 1/3 (sqrt (/ 1 (pow x 3))))
(*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))))
(* 1/3 (sqrt (/ 1 (pow x 3))))
(*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))))
(sqrt (pow x 3))
(sqrt.f64 (*.f64 x (*.f64 x x)))
(sqrt (pow x 3))
(sqrt.f64 (*.f64 x (*.f64 x x)))
(sqrt (pow x 3))
(sqrt.f64 (*.f64 x (*.f64 x x)))
(sqrt (pow x 3))
(sqrt.f64 (*.f64 x (*.f64 x x)))
(sqrt (pow x 3))
(sqrt.f64 (*.f64 x (*.f64 x x)))
(sqrt (pow x 3))
(sqrt.f64 (*.f64 x (*.f64 x x)))
(sqrt (pow x 3))
(sqrt.f64 (*.f64 x (*.f64 x x)))
(sqrt (pow x 3))
(sqrt.f64 (*.f64 x (*.f64 x x)))
(* -1 (* (sqrt (pow x 3)) (pow (sqrt -1) 2)))
(sqrt.f64 (*.f64 x (*.f64 x x)))
(* -1 (* (sqrt (pow x 3)) (pow (sqrt -1) 2)))
(sqrt.f64 (*.f64 x (*.f64 x x)))
(* -1 (* (sqrt (pow x 3)) (pow (sqrt -1) 2)))
(sqrt.f64 (*.f64 x (*.f64 x x)))
(* -1 (* (sqrt (pow x 3)) (pow (sqrt -1) 2)))
(sqrt.f64 (*.f64 x (*.f64 x x)))

rewrite284.0ms (2.6%)

Memory
10.3MiB live, 638.4MiB allocated
Rules
5 642×lower-fma.f32
5 638×lower-fma.f64
3 654×lower-*.f32
3 634×lower-*.f64
3 612×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
057290
079281
1292246
22193246
08120243
Stop Event
iter limit
node limit
iter limit
Counts
23 → 546
Calls
Call 1
Inputs
(*.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) (+.f64 y #s(literal -1 binary64))) (sqrt.f64 x)) #s(literal 3 binary64))
(*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) (+.f64 y #s(literal -1 binary64))) (sqrt.f64 x))
(+.f64 (/.f64 #s(literal 1/9 binary64) x) (+.f64 y #s(literal -1 binary64)))
(/.f64 #s(literal 1/9 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))
(sqrt.f64 x)
#s(approx (* (+ (/ 1/9 x) (+ y -1)) (* 3 (sqrt x))) (*.f64 (sqrt.f64 x) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))))
(*.f64 (sqrt.f64 x) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)))
(+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 x #s(approx (+ (* 1/3 (sqrt (/ 1 (* x (* x x))))) (* (sqrt (/ 1 x)) (+ (* 3 y) -3))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 3 binary64) y)))))
(*.f64 x #s(approx (+ (* 1/3 (sqrt (/ 1 (* x (* x x))))) (* (sqrt (/ 1 x)) (+ (* 3 y) -3))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 3 binary64) y))))
#s(approx (+ (* 1/3 (sqrt (/ 1 (* x (* x x))))) (* (sqrt (/ 1 x)) (+ (* 3 y) -3))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 3 binary64) y)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 3 binary64) y))
(*.f64 x (/.f64 #s(literal 1/3 binary64) (*.f64 x (sqrt.f64 x))))
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (fma.f64 (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 x) (*.f64 x (/.f64 #s(literal 1/3 binary64) (*.f64 x (sqrt.f64 x))))))
(fma.f64 (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 x) (*.f64 x (/.f64 #s(literal 1/3 binary64) (*.f64 x (sqrt.f64 x)))))
(fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64))
(/.f64 #s(literal 1/3 binary64) x)
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1/3 binary64) (*.f64 x (sqrt.f64 x)))
(*.f64 x (sqrt.f64 x))
Outputs
(+.f64 (*.f64 (sqrt.f64 x) (*.f64 y #s(literal 3 binary64))) (*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64))))
(+.f64 (*.f64 (sqrt.f64 x) (*.f64 y #s(literal 3 binary64))) (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)) (*.f64 (sqrt.f64 x) #s(literal 3 binary64))))
(+.f64 (*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y)) (*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) #s(literal -1 binary64)))
(+.f64 (*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) (/.f64 #s(literal 1/9 binary64) x)) (*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) (+.f64 y #s(literal -1 binary64))))
(+.f64 (*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) (+.f64 y #s(literal -1 binary64))) (*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) (/.f64 #s(literal 1/9 binary64) x)))
(+.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) (*.f64 #s(literal -1 binary64) (*.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 (+.f64 y #s(literal -1 binary64)) (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) (*.f64 (/.f64 #s(literal 1/9 binary64) x) (*.f64 (sqrt.f64 x) #s(literal 3 binary64))))
(fma.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))))
(fma.f64 y (*.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) #s(literal -1 binary64))))
(fma.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)) (*.f64 (sqrt.f64 x) #s(literal 3 binary64))))
(fma.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) (*.f64 (/.f64 #s(literal 1/9 binary64) x) (*.f64 (sqrt.f64 x) #s(literal 3 binary64))))
(fma.f64 (sqrt.f64 x) (*.f64 y #s(literal 3 binary64)) (*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64))))
(fma.f64 (sqrt.f64 x) (*.f64 y #s(literal 3 binary64)) (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)) (*.f64 (sqrt.f64 x) #s(literal 3 binary64))))
(fma.f64 #s(literal 3 binary64) (*.f64 y (sqrt.f64 x)) (*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64))))
(fma.f64 #s(literal 3 binary64) (*.f64 y (sqrt.f64 x)) (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)) (*.f64 (sqrt.f64 x) #s(literal 3 binary64))))
(fma.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) (/.f64 #s(literal 1/9 binary64) x) (*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) (+.f64 y #s(literal -1 binary64))))
(fma.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) y (*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64))))
(fma.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) y (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)) (*.f64 (sqrt.f64 x) #s(literal 3 binary64))))
(fma.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) (+.f64 y #s(literal -1 binary64)) (*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) (/.f64 #s(literal 1/9 binary64) x)))
(fma.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) (*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) #s(literal -1 binary64)))
(fma.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) #s(literal 3 binary64))))
(fma.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64) (*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64))))
(fma.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64) (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)) (*.f64 (sqrt.f64 x) #s(literal 3 binary64))))
(fma.f64 (*.f64 y #s(literal 3 binary64)) (sqrt.f64 x) (*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64))))
(fma.f64 (*.f64 y #s(literal 3 binary64)) (sqrt.f64 x) (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)) (*.f64 (sqrt.f64 x) #s(literal 3 binary64))))
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(pow.f64 (/.f64 (-.f64 (fma.f64 #s(literal 9 binary64) (*.f64 y y) #s(literal 9 binary64)) (*.f64 y #s(literal -9 binary64))) (fma.f64 (*.f64 y (*.f64 y y)) #s(literal 27 binary64) #s(literal -27 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 y #s(literal 3 binary64) #s(literal 3 binary64)) (fma.f64 #s(literal 9 binary64) (*.f64 y y) #s(literal -9 binary64))) #s(literal -1 binary64))
(*.f64 (fma.f64 (*.f64 y (*.f64 y y)) #s(literal 27 binary64) #s(literal -27 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 #s(literal 9 binary64) (*.f64 y y) #s(literal 9 binary64)) (*.f64 y #s(literal -9 binary64)))))
(*.f64 (fma.f64 #s(literal 9 binary64) (*.f64 y y) #s(literal -9 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal 3 binary64) #s(literal 3 binary64))))
(exp.f64 (*.f64 (log.f64 (*.f64 x #s(literal 3 binary64))) #s(literal -1 binary64)))
(neg.f64 (/.f64 #s(literal -1/3 binary64) x))
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 x #s(literal 3 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 3 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (*.f64 x #s(literal 3 binary64)))))
(/.f64 #s(literal 1/3 binary64) x)
(/.f64 #s(literal 1/3 binary64) (neg.f64 (neg.f64 x)))
(/.f64 #s(literal -1/3 binary64) (neg.f64 x))
(/.f64 #s(literal -1/3 binary64) (neg.f64 (neg.f64 (neg.f64 x))))
(pow.f64 (*.f64 x #s(literal 3 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (*.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) x))
(*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) x))
(*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/3 binary64))
(*.f64 #s(literal -1/3 binary64) (/.f64 #s(literal -1 binary64) x))
(exp.f64 (*.f64 (neg.f64 (log.f64 x)) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 x) #s(literal -1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 x)) #s(literal -1 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 x) #s(literal 1/2 binary64)) #s(literal -1 binary64)))
(exp.f64 (+.f64 (neg.f64 (log.f64 x)) (*.f64 (log.f64 x) #s(literal 1/2 binary64))))
(exp.f64 (neg.f64 (*.f64 (log.f64 x) #s(literal 1/2 binary64))))
(fabs.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 x)))
(/.f64 #s(literal 1 binary64) (sqrt.f64 x))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (neg.f64 (neg.f64 x))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (sqrt.f64 x))))
(/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (neg.f64 x)))
(/.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64))) (neg.f64 (sqrt.f64 (neg.f64 x))))
(pow.f64 x #s(literal -1/2 binary64))
(pow.f64 (sqrt.f64 x) #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/4 binary64))
(pow.f64 (pow.f64 x #s(literal -1/4 binary64)) #s(literal 2 binary64))
(*.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 x))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 #s(literal 1 binary64) #s(literal -1/2 binary64)))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal -1 binary64) x)))
(*.f64 (pow.f64 x #s(literal -1/4 binary64)) (pow.f64 x #s(literal -1/4 binary64)))
(*.f64 (pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (sqrt.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
(exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 x (sqrt.f64 x)) #s(literal 3 binary64))) #s(literal -1 binary64)))
(neg.f64 (/.f64 #s(literal -1/3 binary64) (*.f64 x (sqrt.f64 x))))
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (*.f64 x (sqrt.f64 x)) #s(literal 3 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 (*.f64 x (sqrt.f64 x)) #s(literal 3 binary64)) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (sqrt.f64 x) (/.f64 #s(literal 1/3 binary64) x))))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (sqrt.f64 x)) #s(literal 3 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 x (sqrt.f64 x)) #s(literal 3 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 x) (/.f64 #s(literal 1/3 binary64) x)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (*.f64 (*.f64 x (sqrt.f64 x)) #s(literal 3 binary64)))))
(/.f64 #s(literal 1/3 binary64) (*.f64 x (sqrt.f64 x)))
(/.f64 #s(literal 1/3 binary64) (neg.f64 (neg.f64 (*.f64 x (sqrt.f64 x)))))
(/.f64 (/.f64 #s(literal 1/3 binary64) x) (sqrt.f64 x))
(/.f64 #s(literal -1/3 binary64) (neg.f64 (*.f64 x (sqrt.f64 x))))
(/.f64 #s(literal -1/3 binary64) (neg.f64 (neg.f64 (neg.f64 (*.f64 x (sqrt.f64 x))))))
(/.f64 (neg.f64 (/.f64 #s(literal 1/3 binary64) x)) (neg.f64 (sqrt.f64 x)))
(/.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) x)
(/.f64 (neg.f64 (neg.f64 (/.f64 #s(literal 1/3 binary64) x))) (neg.f64 (neg.f64 (sqrt.f64 x))))
(/.f64 (neg.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) (neg.f64 x))
(pow.f64 (*.f64 (*.f64 x (sqrt.f64 x)) #s(literal 3 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (*.f64 (*.f64 x (sqrt.f64 x)) #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (sqrt.f64 x) (/.f64 #s(literal 1/3 binary64) x)) #s(literal -1 binary64))
(pow.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) (sqrt.f64 x)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x (sqrt.f64 x))))
(*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (sqrt.f64 x))))
(*.f64 (/.f64 #s(literal 1/3 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (sqrt.f64 x))) #s(literal 1/3 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 (/.f64 (sqrt.f64 x) #s(literal 1/3 binary64)) #s(literal -1 binary64)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1/3 binary64) x))
(*.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 x (sqrt.f64 x)))))
(*.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 1/4 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 x #s(literal 1/4 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 1/4 binary64))) (/.f64 (/.f64 #s(literal 1/3 binary64) x) (pow.f64 x #s(literal 1/4 binary64))))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 x #s(literal 1/4 binary64))) (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 1/4 binary64))))
(*.f64 (/.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 1/4 binary64))) (/.f64 (/.f64 #s(literal -1 binary64) x) (pow.f64 x #s(literal 1/4 binary64))))
(exp.f64 (*.f64 (log.f64 x) #s(literal 3/2 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 x)) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 x)) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 x) #s(literal 1/2 binary64)) #s(literal 3 binary64)))
(fabs.f64 (*.f64 x (sqrt.f64 x)))
(sqrt.f64 (*.f64 x (*.f64 x x)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (sqrt.f64 x))))
(/.f64 (*.f64 x (sqrt.f64 x)) #s(literal 1 binary64))
(/.f64 (neg.f64 (*.f64 x (sqrt.f64 x))) #s(literal -1 binary64))
(/.f64 (*.f64 x (sqrt.f64 (neg.f64 x))) (sqrt.f64 #s(literal -1 binary64)))
(pow.f64 x #s(literal 3/2 binary64))
(pow.f64 (sqrt.f64 x) #s(literal 3 binary64))
(pow.f64 (*.f64 x (*.f64 x x)) #s(literal 1/2 binary64))
(*.f64 x (sqrt.f64 x))
(*.f64 (sqrt.f64 x) x)
(*.f64 (sqrt.f64 x) (pow.f64 (/.f64 (*.f64 x x) #s(literal 1 binary64)) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 x) (sqrt.f64 (/.f64 (*.f64 x x) #s(literal 1 binary64))))
(*.f64 (*.f64 x (sqrt.f64 x)) #s(literal 1 binary64))
(*.f64 (*.f64 x (sqrt.f64 x)) (pow.f64 #s(literal 1 binary64) #s(literal 3/2 binary64)))
(*.f64 (pow.f64 (*.f64 x (sqrt.f64 x)) #s(literal 1/2 binary64)) (pow.f64 (*.f64 x (sqrt.f64 x)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 3 binary64)) (pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 3 binary64)))
(*.f64 (sqrt.f64 (*.f64 x (sqrt.f64 x))) (sqrt.f64 (*.f64 x (sqrt.f64 x))))

eval223.0ms (2.1%)

Memory
-9.4MiB live, 271.5MiB allocated
Compiler

Compiled 21 101 to 2 055 computations (90.3% saved)

prune242.0ms (2.2%)

Memory
8.3MiB live, 413.8MiB allocated
Pruning

34 alts after pruning (27 fresh and 7 done)

PrunedKeptTotal
New1 054141 068
Fresh71320
Picked235
Done145
Total1 064341 098
Accuracy
100.0%
Counts
1 098 → 34
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.4%
(*.f64 (fma.f64 #s(literal 3 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal -3 binary64)) (sqrt.f64 x))
99.4%
(*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) (+.f64 y #s(literal -1 binary64))) (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))
99.4%
(*.f64 (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/9 binary64) (-.f64 y #s(literal 1 binary64))) (sqrt.f64 x)) #s(literal 3 binary64))
99.4%
(*.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) (+.f64 y #s(literal -1 binary64))) (sqrt.f64 x)) #s(literal 3 binary64))
44.8%
(*.f64 (*.f64 #s(approx (+ (/ 1/9 x) (+ y -1)) (/.f64 #s(literal 1/9 binary64) x)) (sqrt.f64 x)) #s(literal 3 binary64))
54.9%
(*.f64 (*.f64 #s(approx (+ (/ 1/9 x) (+ y -1)) (+.f64 y #s(literal -1 binary64))) (sqrt.f64 x)) #s(literal 3 binary64))
69.2%
(*.f64 (*.f64 #s(literal 3 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) x)) (-.f64 #s(approx (+ y (/ 1 (* x 9))) (/.f64 #s(literal 1/9 binary64) x)) #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)))
69.4%
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 #s(approx (+ y (/ 1 (* x 9))) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64)))
69.4%
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 #s(approx (+ y (/ 1 (* x 9))) (/.f64 #s(literal 1/9 binary64) x)) #s(literal 1 binary64)))
44.9%
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) #s(approx (- (+ y (/ 1 (* x 9))) 1) (/.f64 #s(literal 1/9 binary64) x)))
54.9%
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) #s(approx (- (+ y (/ 1 (* x 9))) 1) (+.f64 y #s(literal -1 binary64))))
44.8%
(*.f64 #s(approx (* (+ (/ 1/9 x) (+ y -1)) (sqrt x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/9 binary64))) #s(literal 3 binary64))
69.4%
#s(approx (* (+ (/ 1/9 x) (+ y -1)) (* 3 (sqrt x))) (fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 x) #s(literal 3 binary64)) (*.f64 (sqrt.f64 x) #s(literal -3 binary64))))
69.4%
#s(approx (* (+ (/ 1/9 x) (+ y -1)) (* 3 (sqrt x))) (fma.f64 (*.f64 (sqrt.f64 x) #s(literal 1/3 binary64)) (/.f64 #s(literal 1 binary64) x) (*.f64 (sqrt.f64 x) #s(literal -3 binary64))))
69.4%
#s(approx (* (+ (/ 1/9 x) (+ y -1)) (* 3 (sqrt x))) (fma.f64 (sqrt.f64 x) #s(literal -3 binary64) (/.f64 (sqrt.f64 x) (*.f64 x #s(literal 3 binary64)))))
69.3%
#s(approx (* (+ (/ 1/9 x) (+ y -1)) (* 3 (sqrt x))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))))
99.4%
#s(approx (* (+ (/ 1/9 x) (+ y -1)) (* 3 (sqrt x))) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) (+.f64 y #s(literal -1 binary64)) (/.f64 #s(literal 1/3 binary64) x))))
54.9%
#s(approx (* (+ (/ 1/9 x) (+ y -1)) (* 3 (sqrt x))) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))))
69.3%
#s(approx (* (+ (/ 1/9 x) (+ y -1)) (* 3 (sqrt x))) (*.f64 (sqrt.f64 x) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 3 binary64))))))
69.4%
#s(approx (* (+ (/ 1/9 x) (+ y -1)) (* 3 (sqrt x))) (*.f64 (sqrt.f64 x) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))))
31.4%
#s(approx (* (+ (/ 1/9 x) (+ y -1)) (* 3 (sqrt x))) (*.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) y)))
44.9%
#s(approx (* (+ (/ 1/9 x) (+ y -1)) (* 3 (sqrt x))) (*.f64 (sqrt.f64 x) #s(approx (+ -3 (/ 1/3 x)) (/.f64 #s(literal 1/3 binary64) x))))
25.7%
#s(approx (* (+ (/ 1/9 x) (+ y -1)) (* 3 (sqrt x))) (*.f64 (sqrt.f64 x) #s(approx (+ -3 (/ 1/3 x)) #s(literal -3 binary64))))
44.9%
#s(approx (* (+ (/ 1/9 x) (+ y -1)) (* 3 (sqrt x))) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
54.9%
#s(approx (* (+ (/ 1/9 x) (+ y -1)) (* 3 (sqrt x))) #s(approx (* (sqrt x) (+ -3 (/ 1/3 x))) (/.f64 (fma.f64 (sqrt.f64 (*.f64 x (*.f64 x x))) #s(literal -3 binary64) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) x)))
54.5%
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (fma.f64 #s(approx (+ (* y 3) -3) #s(literal -3 binary64)) (sqrt.f64 x) (*.f64 x (/.f64 #s(literal 1/3 binary64) (*.f64 x (sqrt.f64 x))))))
81.1%
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (+.f64 (/.f64 (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 x)) (/.f64 #s(literal 1/3 binary64) (*.f64 x (sqrt.f64 x)))) x))
31.4%
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64)))
28.8%
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 #s(approx (+ (* 1/3 (sqrt (/ 1 (* x (* x x))))) (* (sqrt (/ 1 x)) (+ (* 3 y) -3))) (/.f64 (*.f64 y #s(literal 3 binary64)) (sqrt.f64 x))) x))
31.3%
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 y (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) x) #s(literal 3 binary64))))
31.4%
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64))))
52.4%
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 x #s(approx (+ (* 1/3 (sqrt (/ 1 (* x (* x x))))) (* (sqrt (/ 1 x)) (+ (* 3 y) -3))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))))))
2.7%
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) #s(approx (* x (+ (* 1/3 (sqrt (/ 1 (* x (* x x))))) (* (sqrt (/ 1 x)) (+ (* 3 y) -3)))) (*.f64 (sqrt.f64 x) (fma.f64 y #s(literal -3 binary64) #s(literal 3 binary64)))))
Compiler

Compiled 786 to 544 computations (30.8% saved)

simplify229.0ms (2.1%)

Memory
-16.3MiB live, 75.2MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f64 (sqrt.f64 x) (*.f64 x #s(literal 3 binary64)))
cost-diff0
(sqrt.f64 x)
cost-diff0
#s(approx (* (+ (/ 1/9 x) (+ y -1)) (* 3 (sqrt x))) (fma.f64 (sqrt.f64 x) #s(literal -3 binary64) (/.f64 (sqrt.f64 x) (*.f64 x #s(literal 3 binary64)))))
cost-diff832
(fma.f64 (sqrt.f64 x) #s(literal -3 binary64) (/.f64 (sqrt.f64 x) (*.f64 x #s(literal 3 binary64))))
cost-diff0
(sqrt.f64 x)
cost-diff0
(*.f64 (sqrt.f64 x) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 3 binary64)))))
cost-diff0
#s(approx (* (+ (/ 1/9 x) (+ y -1)) (* 3 (sqrt x))) (*.f64 (sqrt.f64 x) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 3 binary64))))))
cost-diff320
(/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 3 binary64)))
cost-diff0
(/.f64 #s(literal 1 binary64) x)
cost-diff0
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
cost-diff0
(*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
cost-diff0
#s(approx (* (+ (/ 1/9 x) (+ y -1)) (* 3 (sqrt x))) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
cost-diff0
#s(approx (+ -3 (/ 1/3 x)) #s(literal -3 binary64))
cost-diff0
(sqrt.f64 x)
cost-diff0
(*.f64 (sqrt.f64 x) #s(approx (+ -3 (/ 1/3 x)) #s(literal -3 binary64)))
cost-diff0
#s(approx (* (+ (/ 1/9 x) (+ y -1)) (* 3 (sqrt x))) (*.f64 (sqrt.f64 x) #s(approx (+ -3 (/ 1/3 x)) #s(literal -3 binary64))))
cost-diff0
(/.f64 #s(literal 1 binary64) x)
cost-diff0
(*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/9 binary64) (-.f64 y #s(literal 1 binary64))) (sqrt.f64 x))
cost-diff128
(*.f64 (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/9 binary64) (-.f64 y #s(literal 1 binary64))) (sqrt.f64 x)) #s(literal 3 binary64))
cost-diff192
(fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/9 binary64) (-.f64 y #s(literal 1 binary64)))
Rules
3 264×lower-fma.f32
3 260×lower-fma.f64
1 396×lower-*.f32
1 384×lower-*.f64
670×distribute-lft-in
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
036225
053220
192210
2148210
3320210
4622210
5827210
61266210
72205210
83091210
93284210
103336210
113360210
123366210
133759210
143929210
154101210
164610210
174610210
184614210
194614210
204614210
04614205
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(*.f64 (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/9 binary64) (-.f64 y #s(literal 1 binary64))) (sqrt.f64 x)) #s(literal 3 binary64))
(*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/9 binary64) (-.f64 y #s(literal 1 binary64))) (sqrt.f64 x))
(fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/9 binary64) (-.f64 y #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
#s(literal 1/9 binary64)
(-.f64 y #s(literal 1 binary64))
y
(sqrt.f64 x)
#s(literal 3 binary64)
#s(approx (* (+ (/ 1/9 x) (+ y -1)) (* 3 (sqrt x))) (*.f64 (sqrt.f64 x) #s(approx (+ -3 (/ 1/3 x)) #s(literal -3 binary64))))
(*.f64 (sqrt.f64 x) #s(approx (+ -3 (/ 1/3 x)) #s(literal -3 binary64)))
(sqrt.f64 x)
x
#s(approx (+ -3 (/ 1/3 x)) #s(literal -3 binary64))
#s(literal -3 binary64)
#s(approx (* (+ (/ 1/9 x) (+ y -1)) (* 3 (sqrt x))) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
(*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
#s(literal 1/3 binary64)
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
#s(approx (* (+ (/ 1/9 x) (+ y -1)) (* 3 (sqrt x))) (*.f64 (sqrt.f64 x) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 3 binary64))))))
(*.f64 (sqrt.f64 x) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 3 binary64)))))
(sqrt.f64 x)
x
(+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 3 binary64))))
#s(literal -3 binary64)
(/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 3 binary64)))
#s(literal 1 binary64)
(*.f64 x #s(literal 3 binary64))
#s(literal 3 binary64)
#s(approx (* (+ (/ 1/9 x) (+ y -1)) (* 3 (sqrt x))) (fma.f64 (sqrt.f64 x) #s(literal -3 binary64) (/.f64 (sqrt.f64 x) (*.f64 x #s(literal 3 binary64)))))
(fma.f64 (sqrt.f64 x) #s(literal -3 binary64) (/.f64 (sqrt.f64 x) (*.f64 x #s(literal 3 binary64))))
(sqrt.f64 x)
x
#s(literal -3 binary64)
(/.f64 (sqrt.f64 x) (*.f64 x #s(literal 3 binary64)))
(*.f64 x #s(literal 3 binary64))
#s(literal 3 binary64)
Outputs
(*.f64 (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/9 binary64) (-.f64 y #s(literal 1 binary64))) (sqrt.f64 x)) #s(literal 3 binary64))
(*.f64 (sqrt.f64 x) (+.f64 #s(literal -3 binary64) (fma.f64 y #s(literal 3 binary64) (/.f64 #s(literal 1/3 binary64) x))))
(*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/9 binary64) (-.f64 y #s(literal 1 binary64))) (sqrt.f64 x))
(*.f64 (+.f64 y (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64))) (sqrt.f64 x))
(fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/9 binary64) (-.f64 y #s(literal 1 binary64)))
(+.f64 y (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
#s(literal 1/9 binary64)
(-.f64 y #s(literal 1 binary64))
(+.f64 y #s(literal -1 binary64))
y
(sqrt.f64 x)
#s(literal 3 binary64)
#s(approx (* (+ (/ 1/9 x) (+ y -1)) (* 3 (sqrt x))) (*.f64 (sqrt.f64 x) #s(approx (+ -3 (/ 1/3 x)) #s(literal -3 binary64))))
(*.f64 (sqrt.f64 x) #s(approx (+ -3 (/ 1/3 x)) #s(literal -3 binary64)))
(sqrt.f64 x)
x
#s(approx (+ -3 (/ 1/3 x)) #s(literal -3 binary64))
#s(literal -3 binary64)
#s(approx (* (+ (/ 1/9 x) (+ y -1)) (* 3 (sqrt x))) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
(*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
#s(literal 1/3 binary64)
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
#s(approx (* (+ (/ 1/9 x) (+ y -1)) (* 3 (sqrt x))) (*.f64 (sqrt.f64 x) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 3 binary64))))))
#s(approx (* (+ (/ 1/9 x) (+ y -1)) (* 3 (sqrt x))) (*.f64 (sqrt.f64 x) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))))
(*.f64 (sqrt.f64 x) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 3 binary64)))))
(*.f64 (sqrt.f64 x) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)))
(sqrt.f64 x)
x
(+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 3 binary64))))
(+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))
#s(literal -3 binary64)
(/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 3 binary64)))
(/.f64 #s(literal 1/3 binary64) x)
#s(literal 1 binary64)
(*.f64 x #s(literal 3 binary64))
#s(literal 3 binary64)
#s(approx (* (+ (/ 1/9 x) (+ y -1)) (* 3 (sqrt x))) (fma.f64 (sqrt.f64 x) #s(literal -3 binary64) (/.f64 (sqrt.f64 x) (*.f64 x #s(literal 3 binary64)))))
#s(approx (* (+ (/ 1/9 x) (+ y -1)) (* 3 (sqrt x))) (*.f64 (sqrt.f64 x) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))))
(fma.f64 (sqrt.f64 x) #s(literal -3 binary64) (/.f64 (sqrt.f64 x) (*.f64 x #s(literal 3 binary64))))
(*.f64 (sqrt.f64 x) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)))
(sqrt.f64 x)
x
#s(literal -3 binary64)
(/.f64 (sqrt.f64 x) (*.f64 x #s(literal 3 binary64)))
(/.f64 (*.f64 (sqrt.f64 x) #s(literal 1/3 binary64)) x)
(*.f64 x #s(literal 3 binary64))
#s(literal 3 binary64)

localize150.0ms (1.4%)

Memory
23.9MiB live, 167.1MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0
(sqrt.f64 x)
accuracy0.12109375
(fma.f64 (sqrt.f64 x) #s(literal -3 binary64) (/.f64 (sqrt.f64 x) (*.f64 x #s(literal 3 binary64))))
accuracy0.6295492174742071
(/.f64 (sqrt.f64 x) (*.f64 x #s(literal 3 binary64)))
accuracy19.35444403037922
#s(approx (* (+ (/ 1/9 x) (+ y -1)) (* 3 (sqrt x))) (fma.f64 (sqrt.f64 x) #s(literal -3 binary64) (/.f64 (sqrt.f64 x) (*.f64 x #s(literal 3 binary64)))))
accuracy0.00390625
(+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 3 binary64))))
accuracy0.33203125
(*.f64 (sqrt.f64 x) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 3 binary64)))))
accuracy0.4995912080891514
(/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 3 binary64)))
accuracy19.35444403037922
#s(approx (* (+ (/ 1/9 x) (+ y -1)) (* 3 (sqrt x))) (*.f64 (sqrt.f64 x) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 3 binary64))))))
accuracy0
(/.f64 #s(literal 1 binary64) x)
accuracy0.109375
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
accuracy0.41015625
(*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
accuracy35.09156303532298
#s(approx (* (+ (/ 1/9 x) (+ y -1)) (* 3 (sqrt x))) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
accuracy0
(sqrt.f64 x)
accuracy0.33203125
(*.f64 (sqrt.f64 x) #s(approx (+ -3 (/ 1/3 x)) #s(literal -3 binary64)))
accuracy19.35444403037922
#s(approx (* (+ (/ 1/9 x) (+ y -1)) (* 3 (sqrt x))) (*.f64 (sqrt.f64 x) #s(approx (+ -3 (/ 1/3 x)) #s(literal -3 binary64))))
accuracy34.75984592386604
#s(approx (+ -3 (/ 1/3 x)) #s(literal -3 binary64))
accuracy0
(sqrt.f64 x)
accuracy0.18425751953688405
(fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/9 binary64) (-.f64 y #s(literal 1 binary64)))
accuracy0.244472509768442
(*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/9 binary64) (-.f64 y #s(literal 1 binary64))) (sqrt.f64 x))
accuracy0.265625
(*.f64 (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/9 binary64) (-.f64 y #s(literal 1 binary64))) (sqrt.f64 x)) #s(literal 3 binary64))
Samples
89.0ms256×0valid
Compiler

Compiled 187 to 34 computations (81.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 73.0ms
ival-sqrt: 30.0ms (41.1% of total)
ival-mult: 14.0ms (19.2% of total)
ival-add: 13.0ms (17.8% of total)
ival-div: 8.0ms (11% of total)
const: 6.0ms (8.2% of total)
ival-sub: 1.0ms (1.4% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series16.0ms (0.1%)

Memory
-23.5MiB live, 22.3MiB allocated
Counts
18 → 300
Calls
Call 1
Inputs
#s(alt (fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/9 binary64) (-.f64 y #s(literal 1 binary64))) (patch (fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/9 binary64) (-.f64 y #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/9 binary64) (-.f64 y #s(literal 1 binary64))) (sqrt.f64 x)) #s(literal 3 binary64)) (patch (*.f64 (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/9 binary64) (-.f64 y #s(literal 1 binary64))) (sqrt.f64 x)) #s(literal 3 binary64)) #<representation binary64>) () ())
#s(alt (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/9 binary64) (-.f64 y #s(literal 1 binary64))) (sqrt.f64 x)) (patch (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/9 binary64) (-.f64 y #s(literal 1 binary64))) (sqrt.f64 x)) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) x) (patch (/.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())
#s(alt #s(approx (* (+ (/ 1/9 x) (+ y -1)) (* 3 (sqrt x))) (*.f64 (sqrt.f64 x) #s(approx (+ -3 (/ 1/3 x)) #s(literal -3 binary64)))) (patch #s(approx (* (+ (/ 1/9 x) (+ y -1)) (* 3 (sqrt x))) (*.f64 (sqrt.f64 x) #s(approx (+ -3 (/ 1/3 x)) #s(literal -3 binary64)))) #<representation binary64>) () ())
#s(alt (*.f64 (sqrt.f64 x) #s(approx (+ -3 (/ 1/3 x)) #s(literal -3 binary64))) (patch (*.f64 (sqrt.f64 x) #s(approx (+ -3 (/ 1/3 x)) #s(literal -3 binary64))) #<representation binary64>) () ())
#s(alt (sqrt.f64 x) (patch (sqrt.f64 x) #<representation binary64>) () ())
#s(alt #s(approx (+ -3 (/ 1/3 x)) #s(literal -3 binary64)) (patch #s(approx (+ -3 (/ 1/3 x)) #s(literal -3 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (* (+ (/ 1/9 x) (+ y -1)) (* 3 (sqrt x))) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (patch #s(approx (* (+ (/ 1/9 x) (+ y -1)) (* 3 (sqrt x))) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) #<representation binary64>) () ())
#s(alt (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (patch (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) 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 (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 3 binary64))) (patch (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 3 binary64))) #<representation binary64>) () ())
#s(alt #s(approx (* (+ (/ 1/9 x) (+ y -1)) (* 3 (sqrt x))) (*.f64 (sqrt.f64 x) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 3 binary64)))))) (patch #s(approx (* (+ (/ 1/9 x) (+ y -1)) (* 3 (sqrt x))) (*.f64 (sqrt.f64 x) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 3 binary64)))))) #<representation binary64>) () ())
#s(alt (*.f64 (sqrt.f64 x) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 3 binary64))))) (patch (*.f64 (sqrt.f64 x) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 3 binary64))))) #<representation binary64>) () ())
#s(alt (fma.f64 (sqrt.f64 x) #s(literal -3 binary64) (/.f64 (sqrt.f64 x) (*.f64 x #s(literal 3 binary64)))) (patch (fma.f64 (sqrt.f64 x) #s(literal -3 binary64) (/.f64 (sqrt.f64 x) (*.f64 x #s(literal 3 binary64)))) #<representation binary64>) () ())
#s(alt #s(approx (* (+ (/ 1/9 x) (+ y -1)) (* 3 (sqrt x))) (fma.f64 (sqrt.f64 x) #s(literal -3 binary64) (/.f64 (sqrt.f64 x) (*.f64 x #s(literal 3 binary64))))) (patch #s(approx (* (+ (/ 1/9 x) (+ y -1)) (* 3 (sqrt x))) (fma.f64 (sqrt.f64 x) #s(literal -3 binary64) (/.f64 (sqrt.f64 x) (*.f64 x #s(literal 3 binary64))))) #<representation binary64>) () ())
#s(alt (/.f64 (sqrt.f64 x) (*.f64 x #s(literal 3 binary64))) (patch (/.f64 (sqrt.f64 x) (*.f64 x #s(literal 3 binary64))) #<representation binary64>) () ())
#s(alt (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 3 binary64)))) (patch (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 3 binary64)))) #<representation binary64>) () ())
Outputs
#s(alt (/ 1/9 x) (taylor 0 x) (#s(alt (fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/9 binary64) (-.f64 y #s(literal 1 binary64))) (patch (fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/9 binary64) (-.f64 y #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1/9 (* x (- y 1))) x) (taylor 0 x) (#s(alt (fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/9 binary64) (-.f64 y #s(literal 1 binary64))) (patch (fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/9 binary64) (-.f64 y #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1/9 (* x (- y 1))) x) (taylor 0 x) (#s(alt (fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/9 binary64) (-.f64 y #s(literal 1 binary64))) (patch (fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/9 binary64) (-.f64 y #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1/9 (* x (- y 1))) x) (taylor 0 x) (#s(alt (fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/9 binary64) (-.f64 y #s(literal 1 binary64))) (patch (fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/9 binary64) (-.f64 y #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (- y 1) (taylor inf x) (#s(alt (fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/9 binary64) (-.f64 y #s(literal 1 binary64))) (patch (fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/9 binary64) (-.f64 y #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (+ y (* 1/9 (/ 1 x))) 1) (taylor inf x) (#s(alt (fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/9 binary64) (-.f64 y #s(literal 1 binary64))) (patch (fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/9 binary64) (-.f64 y #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (+ y (* 1/9 (/ 1 x))) 1) (taylor inf x) (#s(alt (fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/9 binary64) (-.f64 y #s(literal 1 binary64))) (patch (fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/9 binary64) (-.f64 y #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (+ y (* 1/9 (/ 1 x))) 1) (taylor inf x) (#s(alt (fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/9 binary64) (-.f64 y #s(literal 1 binary64))) (patch (fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/9 binary64) (-.f64 y #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (- y 1) (taylor -inf x) (#s(alt (fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/9 binary64) (-.f64 y #s(literal 1 binary64))) (patch (fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/9 binary64) (-.f64 y #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (+ y (* 1/9 (/ 1 x))) 1) (taylor -inf x) (#s(alt (fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/9 binary64) (-.f64 y #s(literal 1 binary64))) (patch (fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/9 binary64) (-.f64 y #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (+ y (* 1/9 (/ 1 x))) 1) (taylor -inf x) (#s(alt (fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/9 binary64) (-.f64 y #s(literal 1 binary64))) (patch (fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/9 binary64) (-.f64 y #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (+ y (* 1/9 (/ 1 x))) 1) (taylor -inf x) (#s(alt (fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/9 binary64) (-.f64 y #s(literal 1 binary64))) (patch (fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/9 binary64) (-.f64 y #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (* 1/9 (/ 1 x)) 1) (taylor 0 y) (#s(alt (fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/9 binary64) (-.f64 y #s(literal 1 binary64))) (patch (fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/9 binary64) (-.f64 y #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (+ y (* 1/9 (/ 1 x))) 1) (taylor 0 y) (#s(alt (fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/9 binary64) (-.f64 y #s(literal 1 binary64))) (patch (fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/9 binary64) (-.f64 y #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (+ y (* 1/9 (/ 1 x))) 1) (taylor 0 y) (#s(alt (fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/9 binary64) (-.f64 y #s(literal 1 binary64))) (patch (fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/9 binary64) (-.f64 y #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (+ y (* 1/9 (/ 1 x))) 1) (taylor 0 y) (#s(alt (fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/9 binary64) (-.f64 y #s(literal 1 binary64))) (patch (fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/9 binary64) (-.f64 y #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt y (taylor inf y) (#s(alt (fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/9 binary64) (-.f64 y #s(literal 1 binary64))) (patch (fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/9 binary64) (-.f64 y #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* y (- (+ 1 (/ 1/9 (* x y))) (/ 1 y))) (taylor inf y) (#s(alt (fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/9 binary64) (-.f64 y #s(literal 1 binary64))) (patch (fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/9 binary64) (-.f64 y #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* y (- (+ 1 (/ 1/9 (* x y))) (/ 1 y))) (taylor inf y) (#s(alt (fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/9 binary64) (-.f64 y #s(literal 1 binary64))) (patch (fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/9 binary64) (-.f64 y #s(literal 1 binary64))) #<representation binary64>) () ())) ())
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#s(alt (- (* 1/3 (/ 1 x)) 3) (taylor -inf x) (#s(alt (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 3 binary64)))) (patch (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 3 binary64)))) #<representation binary64>) () ())) ())
#s(alt (- (* 1/3 (/ 1 x)) 3) (taylor -inf x) (#s(alt (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 3 binary64)))) (patch (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 3 binary64)))) #<representation binary64>) () ())) ())
#s(alt (- (* 1/3 (/ 1 x)) 3) (taylor -inf x) (#s(alt (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 3 binary64)))) (patch (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 3 binary64)))) #<representation binary64>) () ())) ())
Calls

75 calls:

TimeVariablePointExpression
2.0ms
x
@inf
(/ 1 (* x 3))
0.0ms
x
@-inf
(+ (* (sqrt x) -3) (/ (sqrt x) (* x 3)))
0.0ms
x
@inf
(+ (* (sqrt x) -3) (/ (sqrt x) (* x 3)))
0.0ms
x
@-inf
(/ 1 x)
0.0ms
x
@-inf
(* 1/3 (sqrt (/ 1 x)))

simplify295.0ms (2.7%)

Memory
34.4MiB live, 217.3MiB allocated
Algorithm
egg-herbie
Rules
11 848×lower-fma.f64
11 848×lower-fma.f32
5 596×lower-*.f64
5 596×lower-*.f32
1 610×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01192981
13312949
210632945
333612935
080542745
Stop Event
iter limit
node limit
Counts
300 → 298
Calls
Call 1
Inputs
(/ 1/9 x)
(/ (+ 1/9 (* x (- y 1))) x)
(/ (+ 1/9 (* x (- y 1))) x)
(/ (+ 1/9 (* x (- y 1))) x)
(- y 1)
(- (+ y (* 1/9 (/ 1 x))) 1)
(- (+ y (* 1/9 (/ 1 x))) 1)
(- (+ y (* 1/9 (/ 1 x))) 1)
(- y 1)
(- (+ y (* 1/9 (/ 1 x))) 1)
(- (+ y (* 1/9 (/ 1 x))) 1)
(- (+ y (* 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)
y
(* y (- (+ 1 (/ 1/9 (* x y))) (/ 1 y)))
(* y (- (+ 1 (/ 1/9 (* x y))) (/ 1 y)))
(* y (- (+ 1 (/ 1/9 (* x y))) (/ 1 y)))
y
(* -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)) (* 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 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) (* (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) (- (* 1/9 (/ 1 x)) 1)))
(+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1))))
(+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1))))
(+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1))))
(* 3 (* (sqrt x) y))
(* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))
(* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))
(* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))
(* 3 (* (sqrt x) y))
(* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))))
(* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))))
(* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))))
(* 1/9 (sqrt (/ 1 x)))
(/ (+ (* 1/9 (sqrt x)) (* (sqrt (pow x 3)) (- y 1))) x)
(/ (+ (* 1/9 (sqrt x)) (* (sqrt (pow x 3)) (- y 1))) x)
(/ (+ (* 1/9 (sqrt x)) (* (sqrt (pow x 3)) (- y 1))) x)
(* (sqrt x) (- y 1))
(* x (+ (* 1/9 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (- y 1))))
(* x (+ (* 1/9 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (- y 1))))
(* x (+ (* 1/9 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (- y 1))))
(* -1 (* (sqrt x) (* (pow (sqrt -1) 2) (- y 1))))
(* -1 (* x (+ (* 1/9 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1))))))
(* -1 (* x (+ (* 1/9 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1))))))
(* -1 (* x (+ (* 1/9 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1))))))
(* (sqrt x) (- (* 1/9 (/ 1 x)) 1))
(+ (* (sqrt x) y) (* (sqrt x) (- (* 1/9 (/ 1 x)) 1)))
(+ (* (sqrt x) y) (* (sqrt x) (- (* 1/9 (/ 1 x)) 1)))
(+ (* (sqrt x) y) (* (sqrt x) (- (* 1/9 (/ 1 x)) 1)))
(* (sqrt x) y)
(* y (+ (sqrt x) (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))
(* y (+ (sqrt x) (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))
(* y (+ (sqrt x) (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))
(* (sqrt x) y)
(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))))
(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))))
(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))))
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 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 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) (* (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) (- (* 1/9 (/ 1 x)) 1)))
(+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1))))
(+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1))))
(+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1))))
(* 3 (* (sqrt x) y))
(* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))
(* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))
(* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))
(* 3 (* (sqrt x) y))
(* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))))
(* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))))
(* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))))
(* 1/3 (sqrt (/ 1 x)))
(/ (+ (* -3 (sqrt (pow x 3))) (* 1/3 (sqrt x))) x)
(/ (+ (* -3 (sqrt (pow x 3))) (* 1/3 (sqrt x))) x)
(/ (+ (* -3 (sqrt (pow x 3))) (* 1/3 (sqrt x))) x)
(* -3 (sqrt x))
(* x (+ (* -3 (sqrt (/ 1 x))) (* 1/3 (sqrt (/ 1 (pow x 3))))))
(* x (+ (* -3 (sqrt (/ 1 x))) (* 1/3 (sqrt (/ 1 (pow x 3))))))
(* x (+ (* -3 (sqrt (/ 1 x))) (* 1/3 (sqrt (/ 1 (pow x 3))))))
(* 3 (* (sqrt x) (pow (sqrt -1) 2)))
(* -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))))))
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(* -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)))
(/ 1/3 x)
(/ (+ 1/3 (* -3 x)) x)
(/ (+ 1/3 (* -3 x)) x)
(/ (+ 1/3 (* -3 x)) x)
-3
(- (* 1/3 (/ 1 x)) 3)
(- (* 1/3 (/ 1 x)) 3)
(- (* 1/3 (/ 1 x)) 3)
-3
(- (* 1/3 (/ 1 x)) 3)
(- (* 1/3 (/ 1 x)) 3)
(- (* 1/3 (/ 1 x)) 3)
(* 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 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) (* (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) (- (* 1/9 (/ 1 x)) 1)))
(+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1))))
(+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1))))
(+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1))))
(* 3 (* (sqrt x) y))
(* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))
(* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))
(* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))
(* 3 (* (sqrt x) y))
(* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))))
(* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))))
(* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))))
(* 1/3 (sqrt (/ 1 x)))
(* 1/3 (sqrt (/ 1 x)))
(* 1/3 (sqrt (/ 1 x)))
(* 1/3 (sqrt (/ 1 x)))
(* 1/3 (sqrt (/ 1 x)))
(* 1/3 (sqrt (/ 1 x)))
(* 1/3 (sqrt (/ 1 x)))
(* 1/3 (sqrt (/ 1 x)))
(* 1/3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))
(* 1/3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))
(* 1/3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))
(* 1/3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))
(sqrt (/ 1 x))
(sqrt (/ 1 x))
(sqrt (/ 1 x))
(sqrt (/ 1 x))
(sqrt (/ 1 x))
(sqrt (/ 1 x))
(sqrt (/ 1 x))
(sqrt (/ 1 x))
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2))
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2))
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2))
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2))
(/ 1/3 x)
(/ 1/3 x)
(/ 1/3 x)
(/ 1/3 x)
(/ 1/3 x)
(/ 1/3 x)
(/ 1/3 x)
(/ 1/3 x)
(/ 1/3 x)
(/ 1/3 x)
(/ 1/3 x)
(/ 1/3 x)
(* 1/3 (sqrt (/ 1 x)))
(/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) (- y 1)))) x)
(/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) (- y 1)))) x)
(/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) (- y 1)))) x)
(* 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) (* (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) (- (* 1/9 (/ 1 x)) 1)))
(+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1))))
(+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1))))
(+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1))))
(* 3 (* (sqrt x) y))
(* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))
(* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))
(* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))
(* 3 (* (sqrt x) y))
(* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))))
(* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))))
(* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))))
(* 1/3 (sqrt (/ 1 x)))
(/ (+ (* -3 (sqrt (pow x 3))) (* 1/3 (sqrt x))) x)
(/ (+ (* -3 (sqrt (pow x 3))) (* 1/3 (sqrt x))) x)
(/ (+ (* -3 (sqrt (pow x 3))) (* 1/3 (sqrt x))) x)
(* -3 (sqrt x))
(* x (+ (* -3 (sqrt (/ 1 x))) (* 1/3 (sqrt (/ 1 (pow x 3))))))
(* x (+ (* -3 (sqrt (/ 1 x))) (* 1/3 (sqrt (/ 1 (pow x 3))))))
(* x (+ (* -3 (sqrt (/ 1 x))) (* 1/3 (sqrt (/ 1 (pow x 3))))))
(* 3 (* (sqrt x) (pow (sqrt -1) 2)))
(* -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))))))
(* 1/3 (sqrt (/ 1 x)))
(/ (+ (* -3 (sqrt (pow x 3))) (* 1/3 (sqrt x))) x)
(/ (+ (* -3 (sqrt (pow x 3))) (* 1/3 (sqrt x))) x)
(/ (+ (* -3 (sqrt (pow x 3))) (* 1/3 (sqrt x))) x)
(* -3 (sqrt x))
(* x (+ (* -3 (sqrt (/ 1 x))) (* 1/3 (sqrt (/ 1 (pow x 3))))))
(* x (+ (* -3 (sqrt (/ 1 x))) (* 1/3 (sqrt (/ 1 (pow x 3))))))
(* x (+ (* -3 (sqrt (/ 1 x))) (* 1/3 (sqrt (/ 1 (pow x 3))))))
(* 3 (* (sqrt x) (pow (sqrt -1) 2)))
(* -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))))))
(* 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 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) (* (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) (- (* 1/9 (/ 1 x)) 1)))
(+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1))))
(+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1))))
(+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1))))
(* 3 (* (sqrt x) y))
(* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))
(* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))
(* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))
(* 3 (* (sqrt x) y))
(* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))))
(* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))))
(* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))))
(* 1/3 (sqrt (/ 1 x)))
(* 1/3 (sqrt (/ 1 x)))
(* 1/3 (sqrt (/ 1 x)))
(* 1/3 (sqrt (/ 1 x)))
(* 1/3 (sqrt (/ 1 x)))
(* 1/3 (sqrt (/ 1 x)))
(* 1/3 (sqrt (/ 1 x)))
(* 1/3 (sqrt (/ 1 x)))
(* -1/3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))
(* -1/3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))
(* -1/3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))
(* -1/3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))
(/ 1/3 x)
(/ (+ 1/3 (* -3 x)) x)
(/ (+ 1/3 (* -3 x)) x)
(/ (+ 1/3 (* -3 x)) x)
-3
(- (* 1/3 (/ 1 x)) 3)
(- (* 1/3 (/ 1 x)) 3)
(- (* 1/3 (/ 1 x)) 3)
-3
(- (* 1/3 (/ 1 x)) 3)
(- (* 1/3 (/ 1 x)) 3)
(- (* 1/3 (/ 1 x)) 3)
Outputs
(/ 1/9 x)
(/.f64 #s(literal 1/9 binary64) x)
(/ (+ 1/9 (* x (- y 1))) x)
(/.f64 (-.f64 (fma.f64 x y #s(literal 1/9 binary64)) x) x)
(/ (+ 1/9 (* x (- y 1))) x)
(/.f64 (-.f64 (fma.f64 x y #s(literal 1/9 binary64)) x) x)
(/ (+ 1/9 (* x (- y 1))) x)
(/.f64 (-.f64 (fma.f64 x y #s(literal 1/9 binary64)) x) x)
(- y 1)
(+.f64 y #s(literal -1 binary64))
(- (+ y (* 1/9 (/ 1 x))) 1)
(+.f64 y (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)))
(- (+ y (* 1/9 (/ 1 x))) 1)
(+.f64 y (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)))
(- (+ y (* 1/9 (/ 1 x))) 1)
(+.f64 y (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)))
(- y 1)
(+.f64 y #s(literal -1 binary64))
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(*.f64 x (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -3 binary64))))
(* -1 (* x (+ (* -3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))))))
(*.f64 x (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -3 binary64))))
(* 1/3 (sqrt (/ 1 x)))
(*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(/ (+ (* -3 (sqrt (pow x 3))) (* 1/3 (sqrt x))) x)
(/.f64 (fma.f64 (sqrt.f64 (*.f64 x (*.f64 x x))) #s(literal -3 binary64) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) x)
(/ (+ (* -3 (sqrt (pow x 3))) (* 1/3 (sqrt x))) x)
(/.f64 (fma.f64 (sqrt.f64 (*.f64 x (*.f64 x x))) #s(literal -3 binary64) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) x)
(/ (+ (* -3 (sqrt (pow x 3))) (* 1/3 (sqrt x))) x)
(/.f64 (fma.f64 (sqrt.f64 (*.f64 x (*.f64 x 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))
(* x (+ (* -3 (sqrt (/ 1 x))) (* 1/3 (sqrt (/ 1 (pow x 3))))))
(*.f64 x (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -3 binary64))))
(* x (+ (* -3 (sqrt (/ 1 x))) (* 1/3 (sqrt (/ 1 (pow x 3))))))
(*.f64 x (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -3 binary64))))
(* x (+ (* -3 (sqrt (/ 1 x))) (* 1/3 (sqrt (/ 1 (pow x 3))))))
(*.f64 x (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -3 binary64))))
(* 3 (* (sqrt x) (pow (sqrt -1) 2)))
(*.f64 (sqrt.f64 x) #s(literal -3 binary64))
(* -1 (* x (+ (* -3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))))))
(*.f64 x (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -3 binary64))))
(* -1 (* x (+ (* -3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))))))
(*.f64 x (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -3 binary64))))
(* -1 (* x (+ (* -3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))))))
(*.f64 x (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -3 binary64))))
(* 1/3 (sqrt (/ 1 x)))
(*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) (- y 1)))) x)
(/.f64 (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 x) (*.f64 (sqrt.f64 (*.f64 x (*.f64 x x))) (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)))) x)
(/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) (- y 1)))) x)
(/.f64 (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 x) (*.f64 (sqrt.f64 (*.f64 x (*.f64 x x))) (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)))) x)
(/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) (- y 1)))) x)
(/.f64 (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 x) (*.f64 (sqrt.f64 (*.f64 x (*.f64 x x))) (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)))) x)
(* 3 (* (sqrt x) (- y 1)))
(*.f64 (sqrt.f64 x) (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)))
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) (- y 1)))))
(*.f64 x (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)))))
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) (- y 1)))))
(*.f64 x (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)))))
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) (- y 1)))))
(*.f64 x (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)))))
(* -3 (* (sqrt x) (* (pow (sqrt -1) 2) (- y 1))))
(*.f64 (sqrt.f64 x) (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)))
(* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1)))))))
(*.f64 x (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)))))
(* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1)))))))
(*.f64 x (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)))))
(* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1)))))))
(*.f64 x (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)))))
(* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1)))
(*.f64 (sqrt.f64 x) (+.f64 #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) (+.f64 (fma.f64 y #s(literal 3 binary64) (/.f64 #s(literal 1/3 binary64) x)) #s(literal -3 binary64)))
(+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1))))
(*.f64 (sqrt.f64 x) (+.f64 (fma.f64 y #s(literal 3 binary64) (/.f64 #s(literal 1/3 binary64) x)) #s(literal -3 binary64)))
(+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1))))
(*.f64 (sqrt.f64 x) (+.f64 (fma.f64 y #s(literal 3 binary64) (/.f64 #s(literal 1/3 binary64) x)) #s(literal -3 binary64)))
(* 3 (* (sqrt x) y))
(*.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64)))
(* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))
(*.f64 (sqrt.f64 x) (+.f64 (fma.f64 y #s(literal 3 binary64) (/.f64 #s(literal 1/3 binary64) x)) #s(literal -3 binary64)))
(* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))
(*.f64 (sqrt.f64 x) (+.f64 (fma.f64 y #s(literal 3 binary64) (/.f64 #s(literal 1/3 binary64) x)) #s(literal -3 binary64)))
(* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))
(*.f64 (sqrt.f64 x) (+.f64 (fma.f64 y #s(literal 3 binary64) (/.f64 #s(literal 1/3 binary64) x)) #s(literal -3 binary64)))
(* 3 (* (sqrt x) y))
(*.f64 y (*.f64 (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) (+.f64 (fma.f64 y #s(literal 3 binary64) (/.f64 #s(literal 1/3 binary64) x)) #s(literal -3 binary64)))
(* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))))
(*.f64 (sqrt.f64 x) (+.f64 (fma.f64 y #s(literal 3 binary64) (/.f64 #s(literal 1/3 binary64) x)) #s(literal -3 binary64)))
(* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))))
(*.f64 (sqrt.f64 x) (+.f64 (fma.f64 y #s(literal 3 binary64) (/.f64 #s(literal 1/3 binary64) x)) #s(literal -3 binary64)))
(* 1/3 (sqrt (/ 1 x)))
(*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(* 1/3 (sqrt (/ 1 x)))
(*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(* 1/3 (sqrt (/ 1 x)))
(*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(* 1/3 (sqrt (/ 1 x)))
(*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(* 1/3 (sqrt (/ 1 x)))
(*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(* 1/3 (sqrt (/ 1 x)))
(*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(* 1/3 (sqrt (/ 1 x)))
(*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(* 1/3 (sqrt (/ 1 x)))
(*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(* -1/3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))
(*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(* -1/3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))
(*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(* -1/3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))
(*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(* -1/3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))
(*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(/ 1/3 x)
(/.f64 #s(literal 1/3 binary64) x)
(/ (+ 1/3 (* -3 x)) x)
(/.f64 (fma.f64 x #s(literal -3 binary64) #s(literal 1/3 binary64)) x)
(/ (+ 1/3 (* -3 x)) x)
(/.f64 (fma.f64 x #s(literal -3 binary64) #s(literal 1/3 binary64)) x)
(/ (+ 1/3 (* -3 x)) x)
(/.f64 (fma.f64 x #s(literal -3 binary64) #s(literal 1/3 binary64)) x)
-3
#s(literal -3 binary64)
(- (* 1/3 (/ 1 x)) 3)
(+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))
(- (* 1/3 (/ 1 x)) 3)
(+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))
(- (* 1/3 (/ 1 x)) 3)
(+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))
-3
#s(literal -3 binary64)
(- (* 1/3 (/ 1 x)) 3)
(+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))
(- (* 1/3 (/ 1 x)) 3)
(+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))
(- (* 1/3 (/ 1 x)) 3)
(+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))

rewrite419.0ms (3.9%)

Memory
-34.8MiB live, 390.8MiB allocated
Rules
5 410×lower-*.f32
5 398×lower-*.f64
4 826×lower-fma.f32
4 822×lower-fma.f64
4 350×lower-/.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
036190
053185
1210168
21623168
08783168
Stop Event
iter limit
node limit
iter limit
Counts
18 → 639
Calls
Call 1
Inputs
(fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/9 binary64) (-.f64 y #s(literal 1 binary64)))
(*.f64 (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/9 binary64) (-.f64 y #s(literal 1 binary64))) (sqrt.f64 x)) #s(literal 3 binary64))
(*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/9 binary64) (-.f64 y #s(literal 1 binary64))) (sqrt.f64 x))
(/.f64 #s(literal 1 binary64) x)
#s(approx (* (+ (/ 1/9 x) (+ y -1)) (* 3 (sqrt x))) (*.f64 (sqrt.f64 x) #s(approx (+ -3 (/ 1/3 x)) #s(literal -3 binary64))))
(*.f64 (sqrt.f64 x) #s(approx (+ -3 (/ 1/3 x)) #s(literal -3 binary64)))
(sqrt.f64 x)
#s(approx (+ -3 (/ 1/3 x)) #s(literal -3 binary64))
#s(approx (* (+ (/ 1/9 x) (+ y -1)) (* 3 (sqrt x))) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
(*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 3 binary64)))
#s(approx (* (+ (/ 1/9 x) (+ y -1)) (* 3 (sqrt x))) (*.f64 (sqrt.f64 x) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 3 binary64))))))
(*.f64 (sqrt.f64 x) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 3 binary64)))))
(fma.f64 (sqrt.f64 x) #s(literal -3 binary64) (/.f64 (sqrt.f64 x) (*.f64 x #s(literal 3 binary64))))
#s(approx (* (+ (/ 1/9 x) (+ y -1)) (* 3 (sqrt x))) (fma.f64 (sqrt.f64 x) #s(literal -3 binary64) (/.f64 (sqrt.f64 x) (*.f64 x #s(literal 3 binary64)))))
(/.f64 (sqrt.f64 x) (*.f64 x #s(literal 3 binary64)))
(+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 3 binary64))))
Outputs
(+.f64 y (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/9 binary64) x)))
(+.f64 (+.f64 y #s(literal -1 binary64)) (/.f64 #s(literal 1/9 binary64) x))
(+.f64 (/.f64 #s(literal 1/9 binary64) x) (+.f64 y #s(literal -1 binary64)))
(+.f64 #s(literal -1 binary64) (+.f64 y (/.f64 #s(literal 1/9 binary64) x)))
(+.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal -1 binary64))
(+.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)) y)
(-.f64 y (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)))
(-.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 1 binary64))
(-.f64 (/.f64 (/.f64 #s(literal 1/81 binary64) (*.f64 x x)) (+.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal 1 binary64))) (/.f64 (*.f64 (+.f64 y #s(literal -1 binary64)) (+.f64 y #s(literal -1 binary64))) (+.f64 (-.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)) (*.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) (+.f64 y (/.f64 #s(literal 1/9 binary64) x)))) (fma.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 1 binary64))))))
(-.f64 (/.f64 (*.f64 (+.f64 y #s(literal -1 binary64)) (+.f64 y #s(literal -1 binary64))) (-.f64 (+.f64 y #s(literal -1 binary64)) (/.f64 #s(literal 1/9 binary64) x))) (/.f64 (/.f64 #s(literal 1/81 binary64) (*.f64 x x)) (-.f64 (+.f64 y #s(literal -1 binary64)) (/.f64 #s(literal 1/9 binary64) x))))
(-.f64 (/.f64 (*.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) (+.f64 y (/.f64 #s(literal 1/9 binary64) x))) (-.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal -1 binary64))))
(-.f64 (/.f64 (*.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) (+.f64 y (/.f64 #s(literal 1/9 binary64) x))) (+.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 1 binary64))))
(fma.f64 #s(literal 1 binary64) y (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/9 binary64) x)))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x) (+.f64 y #s(literal -1 binary64)))
(fma.f64 x (/.f64 #s(literal 1/9 binary64) (*.f64 x x)) (+.f64 y #s(literal -1 binary64)))
(fma.f64 x (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal -3 binary64))) #s(literal 2 binary64)) (+.f64 y #s(literal -1 binary64)))
(fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/9 binary64) (+.f64 y #s(literal -1 binary64)))
(fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (/.f64 #s(literal 3 binary64) (sqrt.f64 x))) (+.f64 y #s(literal -1 binary64)))
(fma.f64 #s(literal 1/9 binary64) (/.f64 #s(literal 1 binary64) x) (+.f64 y #s(literal -1 binary64)))
(fma.f64 y #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/9 binary64) x)))
(fma.f64 (sqrt.f64 x) (*.f64 (/.f64 #s(literal 1/3 binary64) x) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) (+.f64 y #s(literal -1 binary64)))
(fma.f64 (sqrt.f64 x) (/.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (*.f64 x #s(literal 3 binary64))) (+.f64 y #s(literal -1 binary64)))
(fma.f64 #s(literal 1/3 binary64) (/.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (/.f64 x (sqrt.f64 x))) (+.f64 y #s(literal -1 binary64)))
(fma.f64 (/.f64 #s(literal 1/3 binary64) x) (/.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (+.f64 y #s(literal -1 binary64)))
(fma.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (+.f64 y #s(literal -1 binary64)))
(fma.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (/.f64 (/.f64 #s(literal 1/3 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (+.f64 y #s(literal -1 binary64)))
(fma.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1/3 binary64) (/.f64 x (sqrt.f64 x))) (+.f64 y #s(literal -1 binary64)))
(fma.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (/.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) #s(literal 1 binary64)) (+.f64 y #s(literal -1 binary64)))
(fma.f64 #s(literal -1/9 binary64) (/.f64 #s(literal -1 binary64) x) (+.f64 y #s(literal -1 binary64)))
(fma.f64 (/.f64 #s(literal 1/9 binary64) (*.f64 x x)) x (+.f64 y #s(literal -1 binary64)))
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#s(approx (* (+ (/ 1/9 x) (+ y -1)) (* 3 (sqrt x))) (*.f64 (sqrt.f64 x) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))))
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(*.f64 (neg.f64 (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal -3 binary64))))
(*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (sqrt.f64 x) #s(literal -3 binary64)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64))
(*.f64 (/.f64 (sqrt.f64 x) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) x))
(*.f64 (/.f64 (sqrt.f64 x) (neg.f64 x)) #s(literal -1/3 binary64))
(*.f64 (/.f64 (pow.f64 x #s(literal 1/4 binary64)) x) (/.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 3 binary64)))
(*.f64 (/.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 3 binary64)) (/.f64 (pow.f64 x #s(literal 1/4 binary64)) x))
(*.f64 (/.f64 (pow.f64 x #s(literal 1/4 binary64)) (*.f64 x #s(literal 3 binary64))) (/.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 1 binary64)))
(*.f64 (/.f64 (sqrt.f64 x) #s(literal -3 binary64)) (/.f64 #s(literal -1 binary64) x))
(*.f64 (/.f64 (sqrt.f64 x) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal -3 binary64))))
(+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))
(+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64))
(-.f64 (/.f64 #s(literal 9 binary64) (-.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))) (/.f64 (/.f64 #s(literal 1/9 binary64) (*.f64 x x)) (-.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))))
(-.f64 (/.f64 (/.f64 #s(literal 1/9 binary64) (*.f64 x x)) (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64))) (/.f64 #s(literal 9 binary64) (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64))))
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(*.f64 (+.f64 #s(literal -27 binary64) (/.f64 #s(literal 1/27 binary64) (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 1/3 binary64) x) (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64)) #s(literal 9 binary64))))
(*.f64 (-.f64 #s(literal 9 binary64) (/.f64 #s(literal 1/9 binary64) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))))

eval178.0ms (1.6%)

Memory
36.5MiB live, 231.4MiB allocated
Compiler

Compiled 19 619 to 2 223 computations (88.7% saved)

prune287.0ms (2.6%)

Memory
-2.6MiB live, 340.1MiB allocated
Pruning

29 alts after pruning (19 fresh and 10 done)

PrunedKeptTotal
New1 05191 060
Fresh121022
Picked235
Done077
Total1 065291 094
Accuracy
100.0%
Counts
1 094 → 29
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.4%
(*.f64 (fma.f64 #s(literal 3 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal -3 binary64)) (sqrt.f64 x))
99.4%
(*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) (+.f64 y #s(literal -1 binary64))) (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))
99.4%
(*.f64 (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/9 binary64) (-.f64 y #s(literal 1 binary64))) (sqrt.f64 x)) #s(literal 3 binary64))
99.4%
(*.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) (+.f64 y #s(literal -1 binary64))) (sqrt.f64 x)) #s(literal 3 binary64))
44.8%
(*.f64 (*.f64 #s(approx (+ (/ 1/9 x) (+ y -1)) (/.f64 #s(literal 1/9 binary64) x)) (sqrt.f64 x)) #s(literal 3 binary64))
54.9%
(*.f64 (*.f64 #s(approx (+ (/ 1/9 x) (+ y -1)) (+.f64 y #s(literal -1 binary64))) (sqrt.f64 x)) #s(literal 3 binary64))
69.2%
(*.f64 (*.f64 #s(literal 3 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) x)) (-.f64 #s(approx (+ y (/ 1 (* x 9))) (/.f64 #s(literal 1/9 binary64) x)) #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)))
69.4%
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 #s(approx (+ y (/ 1 (* x 9))) (/.f64 #s(literal 1/9 binary64) x)) #s(literal 1 binary64)))
54.9%
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) #s(approx (- (+ y (/ 1 (* x 9))) 1) (+.f64 y #s(literal -1 binary64))))
68.9%
#s(approx (* (+ (/ 1/9 x) (+ y -1)) (* 3 (sqrt x))) (/.f64 (-.f64 (*.f64 x #s(literal 9 binary64)) (/.f64 #s(literal 1/9 binary64) x)) (*.f64 (sqrt.f64 x) (-.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)))))
44.9%
#s(approx (* (+ (/ 1/9 x) (+ y -1)) (* 3 (sqrt x))) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))
44.9%
#s(approx (* (+ (/ 1/9 x) (+ y -1)) (* 3 (sqrt x))) (/.f64 (sqrt.f64 x) (*.f64 x #s(literal 3 binary64))))
44.9%
#s(approx (* (+ (/ 1/9 x) (+ y -1)) (* 3 (sqrt x))) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)))
25.7%
#s(approx (* (+ (/ 1/9 x) (+ y -1)) (* 3 (sqrt x))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) #s(approx (+ -3 (/ 1/3 x)) #s(literal -3 binary64))))
44.9%
#s(approx (* (+ (/ 1/9 x) (+ y -1)) (* 3 (sqrt x))) (*.f64 (/.f64 #s(literal 1/3 binary64) x) (sqrt.f64 x)))
54.9%
#s(approx (* (+ (/ 1/9 x) (+ y -1)) (* 3 (sqrt x))) (*.f64 (sqrt.f64 x) (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64))))
99.4%
#s(approx (* (+ (/ 1/9 x) (+ y -1)) (* 3 (sqrt x))) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) (+.f64 y #s(literal -1 binary64)) (/.f64 #s(literal 1/3 binary64) x))))
69.4%
#s(approx (* (+ (/ 1/9 x) (+ y -1)) (* 3 (sqrt x))) (*.f64 (sqrt.f64 x) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))))
31.4%
#s(approx (* (+ (/ 1/9 x) (+ y -1)) (* 3 (sqrt x))) (*.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) y)))
25.7%
#s(approx (* (+ (/ 1/9 x) (+ y -1)) (* 3 (sqrt x))) (*.f64 (sqrt.f64 x) #s(approx (+ -3 (/ 1/3 x)) #s(literal -3 binary64))))
44.8%
#s(approx (* (+ (/ 1/9 x) (+ y -1)) (* 3 (sqrt x))) (*.f64 (neg.f64 (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal -3 binary64)))))
44.9%
#s(approx (* (+ (/ 1/9 x) (+ y -1)) (* 3 (sqrt x))) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
54.9%
#s(approx (* (+ (/ 1/9 x) (+ y -1)) (* 3 (sqrt x))) #s(approx (+ (* (sqrt x) -3) (/ (sqrt x) (* x 3))) (/.f64 (fma.f64 (sqrt.f64 (*.f64 x (*.f64 x x))) #s(literal -3 binary64) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) x)))
31.4%
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64)))
28.8%
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 #s(approx (+ (* 1/3 (sqrt (/ 1 (* x (* x x))))) (* (sqrt (/ 1 x)) (+ (* 3 y) -3))) (/.f64 (*.f64 y #s(literal 3 binary64)) (sqrt.f64 x))) x))
31.3%
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 y (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) x) #s(literal 3 binary64))))
31.4%
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64))))
52.4%
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 x #s(approx (+ (* 1/3 (sqrt (/ 1 (* x (* x x))))) (* (sqrt (/ 1 x)) (+ (* 3 y) -3))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))))))
Compiler

Compiled 1 099 to 426 computations (61.2% saved)

regimes64.0ms (0.6%)

Memory
-7.1MiB live, 132.7MiB allocated
Counts
63 → 1
Calls
Call 1
Inputs
#s(approx (* (+ (/ 1/9 x) (+ y -1)) (* 3 (sqrt x))) (*.f64 (sqrt.f64 x) #s(approx (+ -3 (/ 1/3 x)) #s(literal -3 binary64))))
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64))))
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64)))
#s(approx (* (+ (/ 1/9 x) (+ y -1)) (* 3 (sqrt x))) (*.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) y)))
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) #s(approx (* x (+ (* 1/3 (sqrt (/ 1 (* x (* x x))))) (* (sqrt (/ 1 x)) (+ (* 3 y) -3)))) (*.f64 (sqrt.f64 x) (fma.f64 y #s(literal -3 binary64) #s(literal 3 binary64)))))
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))))
#s(approx (* (+ (/ 1/9 x) (+ y -1)) (* 3 (sqrt x))) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))))
#s(approx (* (+ (/ 1/9 x) (+ y -1)) (* 3 (sqrt x))) (*.f64 (sqrt.f64 x) (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64))))
#s(approx (* (+ (/ 1/9 x) (+ y -1)) (* 3 (sqrt x))) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)))
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) #s(approx (- (+ y (/ 1 (* x 9))) 1) (+.f64 y #s(literal -1 binary64))))
(*.f64 (*.f64 #s(approx (+ (/ 1/9 x) (+ y -1)) (+.f64 y #s(literal -1 binary64))) (sqrt.f64 x)) #s(literal 3 binary64))
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
#s(approx (* (+ (/ 1/9 x) (+ y -1)) (* 3 (sqrt x))) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
#s(approx (* (+ (/ 1/9 x) (+ y -1)) (* 3 (sqrt x))) (*.f64 (sqrt.f64 x) #s(approx (+ -3 (/ 1/3 x)) (/.f64 #s(literal 1/3 binary64) x))))
#s(approx (* (+ (/ 1/9 x) (+ y -1)) (* 3 (sqrt x))) (*.f64 (/.f64 #s(literal 1/3 binary64) x) (sqrt.f64 x)))
#s(approx (* (+ (/ 1/9 x) (+ y -1)) (* 3 (sqrt x))) (/.f64 (sqrt.f64 x) (*.f64 x #s(literal 3 binary64))))
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 x) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))))
#s(approx (* (+ (/ 1/9 x) (+ y -1)) (* 3 (sqrt x))) (*.f64 (sqrt.f64 x) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))))
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 #s(approx (+ (* 1/3 (sqrt (/ 1 (* x (* x x))))) (* (sqrt (/ 1 x)) (+ (* 3 y) -3))) (/.f64 (*.f64 y #s(literal 3 binary64)) (sqrt.f64 x))) x))
(*.f64 #s(approx (* (+ (/ 1/9 x) (+ y -1)) (sqrt x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/9 binary64))) #s(literal 3 binary64))
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) #s(approx (- (+ y (/ 1 (* x 9))) 1) (/.f64 #s(literal 1/9 binary64) x)))
(*.f64 (*.f64 #s(approx (+ (/ 1/9 x) (+ y -1)) (/.f64 #s(literal 1/9 binary64) x)) (sqrt.f64 x)) #s(literal 3 binary64))
#s(approx (* (+ (/ 1/9 x) (+ y -1)) (* 3 (sqrt x))) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))
#s(approx (* (+ (/ 1/9 x) (+ y -1)) (* 3 (sqrt x))) (*.f64 (neg.f64 (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal -3 binary64)))))
#s(approx (* (+ (/ 1/9 x) (+ y -1)) (* 3 (sqrt x))) (*.f64 (sqrt.f64 x) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 3 binary64))))))
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 #s(approx (+ y (/ 1 (* x 9))) (/.f64 #s(literal 1/9 binary64) x)) #s(literal 1 binary64)))
(*.f64 (*.f64 (sqrt.f64 x) (+.f64 #s(literal -1 binary64) #s(approx (+ y (/ 1 (* x 9))) (/.f64 #s(literal 1/9 binary64) x)))) #s(literal 3 binary64))
(*.f64 (*.f64 (+.f64 #s(literal -1 binary64) #s(approx (+ y (/ 1 (* x 9))) (/.f64 #s(literal 1/9 binary64) x))) #s(literal 3 binary64)) (sqrt.f64 x))
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)))))
#s(approx (* (+ (/ 1/9 x) (+ y -1)) (* 3 (sqrt x))) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) (+.f64 y #s(literal -1 binary64)) (/.f64 #s(literal 1/3 binary64) x))))
(*.f64 (fma.f64 #s(literal 3 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal -3 binary64)) (sqrt.f64 x))
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 x #s(approx (+ (* 1/3 (sqrt (/ 1 (* x (* x x))))) (* (sqrt (/ 1 x)) (+ (* 3 y) -3))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 3 binary64) y)))))
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 y (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) x) #s(literal 3 binary64))))
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 x #s(approx (+ (* 1/3 (sqrt (/ 1 (* x (* x x))))) (* (sqrt (/ 1 x)) (+ (* 3 y) -3))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))))))
#s(approx (* (+ (/ 1/9 x) (+ y -1)) (* 3 (sqrt x))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) #s(approx (+ -3 (/ 1/3 x)) #s(literal -3 binary64))))
(*.f64 (*.f64 (sqrt.f64 x) (+.f64 (/.f64 #s(literal 1/9 binary64) x) (+.f64 y #s(literal -1 binary64)))) #s(literal 3 binary64))
(*.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) (+.f64 y #s(literal -1 binary64))) (sqrt.f64 x)) #s(literal 3 binary64))
(*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) (+.f64 y #s(literal -1 binary64))) (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 #s(approx (+ y (/ 1 (* x 9))) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64)))
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 #s(approx (+ y (/ 1 (* x 9))) (/.f64 (fma.f64 x y #s(literal 1/9 binary64)) x)) #s(literal 1 binary64)))
(*.f64 (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/9 binary64) (-.f64 y #s(literal 1 binary64))) (sqrt.f64 x)) #s(literal 3 binary64))
#s(approx (* (+ (/ 1/9 x) (+ y -1)) (* 3 (sqrt x))) (fma.f64 (sqrt.f64 x) #s(literal -3 binary64) (/.f64 (sqrt.f64 x) (*.f64 x #s(literal 3 binary64)))))
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64)))
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (fma.f64 #s(approx (+ (* y 3) -3) #s(literal -3 binary64)) (sqrt.f64 x) (*.f64 x (/.f64 #s(literal 1/3 binary64) (*.f64 x (sqrt.f64 x))))))
#s(approx (* (+ (/ 1/9 x) (+ y -1)) (* 3 (sqrt x))) (fma.f64 (*.f64 (sqrt.f64 x) #s(literal 1/3 binary64)) (/.f64 #s(literal 1 binary64) x) (*.f64 (sqrt.f64 x) #s(literal -3 binary64))))
(*.f64 (*.f64 #s(literal 3 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) x)) (-.f64 #s(approx (+ y (/ 1 (* x 9))) (/.f64 #s(literal 1/9 binary64) x)) #s(literal 1 binary64)))
(fma.f64 (sqrt.f64 x) #s(literal -3 binary64) (*.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y))))
#s(approx (* (+ (/ 1/9 x) (+ y -1)) (* 3 (sqrt x))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))))
#s(approx (* (+ (/ 1/9 x) (+ y -1)) (* 3 (sqrt x))) #s(approx (* (sqrt x) (+ -3 (/ 1/3 x))) (/.f64 (fma.f64 (sqrt.f64 (*.f64 x (*.f64 x x))) #s(literal -3 binary64) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) x)))
#s(approx (* (+ (/ 1/9 x) (+ y -1)) (* 3 (sqrt x))) #s(approx (+ (* (sqrt x) -3) (/ (sqrt x) (* x 3))) (/.f64 (fma.f64 (sqrt.f64 (*.f64 x (*.f64 x x))) #s(literal -3 binary64) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) x)))
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (fma.f64 (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 x) (*.f64 x (/.f64 #s(literal 1/3 binary64) (*.f64 x (sqrt.f64 x))))))
#s(approx (* (+ (/ 1/9 x) (+ y -1)) (* 3 (sqrt x))) (fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 x) #s(literal 3 binary64)) (*.f64 (sqrt.f64 x) #s(literal -3 binary64))))
(fma.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)) #s(literal 3 binary64)) (sqrt.f64 x) (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) y))
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 #s(approx (+ y (/ 1 (* x 9))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 9 binary64) (/.f64 #s(literal 1 binary64) x)))) #s(literal 1 binary64)))
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (/.f64 (fma.f64 (sqrt.f64 (*.f64 x (*.f64 x x))) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) x))
#s(approx (* (+ (/ 1/9 x) (+ y -1)) (* 3 (sqrt x))) (/.f64 (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 x) (*.f64 (sqrt.f64 (*.f64 x (*.f64 x x))) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)))) x))
#s(approx (* (+ (/ 1/9 x) (+ y -1)) (* 3 (sqrt x))) (/.f64 (-.f64 (*.f64 x #s(literal 9 binary64)) (/.f64 #s(literal 1/9 binary64) x)) (*.f64 (sqrt.f64 x) (-.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)))))
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (+.f64 (/.f64 (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 x)) (/.f64 #s(literal 1/3 binary64) (*.f64 x (sqrt.f64 x)))) x))
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 #s(approx (+ y (/ 1 (* x 9))) (/.f64 (fma.f64 x (*.f64 y (*.f64 x y)) #s(literal -1/81 binary64)) (*.f64 x (fma.f64 x y #s(literal -1/9 binary64))))) #s(literal 1 binary64)))
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 x (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))))))
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (/.f64 (fma.f64 y y (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -81 binary64))))) (+.f64 y (/.f64 #s(literal -1/9 binary64) x))) #s(literal 1 binary64)))
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (*.f64 (pow.f64 x #s(literal 1/4 binary64)) (fma.f64 #s(literal 3 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal -3 binary64))))
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (pow.f64 (pow.f64 (*.f64 x #s(literal 9 binary64)) #s(literal -1/2 binary64)) #s(literal 2 binary64))) #s(literal 1 binary64)))
Outputs
(*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) (+.f64 y #s(literal -1 binary64))) (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))
Calls

3 calls:

22.0ms
y
19.0ms
x
17.0ms
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64)))
Results
AccuracySegmentsBranch
99.4%1x
99.4%1y
99.4%1(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64)))
Compiler

Compiled 22 to 16 computations (27.3% saved)

regimes36.0ms (0.3%)

Memory
-13.3MiB live, 79.1MiB allocated
Counts
37 → 1
Calls
Call 1
Inputs
#s(approx (* (+ (/ 1/9 x) (+ y -1)) (* 3 (sqrt x))) (*.f64 (sqrt.f64 x) #s(approx (+ -3 (/ 1/3 x)) #s(literal -3 binary64))))
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64))))
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64)))
#s(approx (* (+ (/ 1/9 x) (+ y -1)) (* 3 (sqrt x))) (*.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) y)))
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) #s(approx (* x (+ (* 1/3 (sqrt (/ 1 (* x (* x x))))) (* (sqrt (/ 1 x)) (+ (* 3 y) -3)))) (*.f64 (sqrt.f64 x) (fma.f64 y #s(literal -3 binary64) #s(literal 3 binary64)))))
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))))
#s(approx (* (+ (/ 1/9 x) (+ y -1)) (* 3 (sqrt x))) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))))
#s(approx (* (+ (/ 1/9 x) (+ y -1)) (* 3 (sqrt x))) (*.f64 (sqrt.f64 x) (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64))))
#s(approx (* (+ (/ 1/9 x) (+ y -1)) (* 3 (sqrt x))) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)))
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) #s(approx (- (+ y (/ 1 (* x 9))) 1) (+.f64 y #s(literal -1 binary64))))
(*.f64 (*.f64 #s(approx (+ (/ 1/9 x) (+ y -1)) (+.f64 y #s(literal -1 binary64))) (sqrt.f64 x)) #s(literal 3 binary64))
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
#s(approx (* (+ (/ 1/9 x) (+ y -1)) (* 3 (sqrt x))) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
#s(approx (* (+ (/ 1/9 x) (+ y -1)) (* 3 (sqrt x))) (*.f64 (sqrt.f64 x) #s(approx (+ -3 (/ 1/3 x)) (/.f64 #s(literal 1/3 binary64) x))))
#s(approx (* (+ (/ 1/9 x) (+ y -1)) (* 3 (sqrt x))) (*.f64 (/.f64 #s(literal 1/3 binary64) x) (sqrt.f64 x)))
#s(approx (* (+ (/ 1/9 x) (+ y -1)) (* 3 (sqrt x))) (/.f64 (sqrt.f64 x) (*.f64 x #s(literal 3 binary64))))
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 x) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))))
#s(approx (* (+ (/ 1/9 x) (+ y -1)) (* 3 (sqrt x))) (*.f64 (sqrt.f64 x) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))))
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 #s(approx (+ (* 1/3 (sqrt (/ 1 (* x (* x x))))) (* (sqrt (/ 1 x)) (+ (* 3 y) -3))) (/.f64 (*.f64 y #s(literal 3 binary64)) (sqrt.f64 x))) x))
(*.f64 #s(approx (* (+ (/ 1/9 x) (+ y -1)) (sqrt x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/9 binary64))) #s(literal 3 binary64))
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) #s(approx (- (+ y (/ 1 (* x 9))) 1) (/.f64 #s(literal 1/9 binary64) x)))
(*.f64 (*.f64 #s(approx (+ (/ 1/9 x) (+ y -1)) (/.f64 #s(literal 1/9 binary64) x)) (sqrt.f64 x)) #s(literal 3 binary64))
#s(approx (* (+ (/ 1/9 x) (+ y -1)) (* 3 (sqrt x))) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))
#s(approx (* (+ (/ 1/9 x) (+ y -1)) (* 3 (sqrt x))) (*.f64 (neg.f64 (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal -3 binary64)))))
#s(approx (* (+ (/ 1/9 x) (+ y -1)) (* 3 (sqrt x))) (*.f64 (sqrt.f64 x) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 3 binary64))))))
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 #s(approx (+ y (/ 1 (* x 9))) (/.f64 #s(literal 1/9 binary64) x)) #s(literal 1 binary64)))
(*.f64 (*.f64 (sqrt.f64 x) (+.f64 #s(literal -1 binary64) #s(approx (+ y (/ 1 (* x 9))) (/.f64 #s(literal 1/9 binary64) x)))) #s(literal 3 binary64))
(*.f64 (*.f64 (+.f64 #s(literal -1 binary64) #s(approx (+ y (/ 1 (* x 9))) (/.f64 #s(literal 1/9 binary64) x))) #s(literal 3 binary64)) (sqrt.f64 x))
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)))))
#s(approx (* (+ (/ 1/9 x) (+ y -1)) (* 3 (sqrt x))) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) (+.f64 y #s(literal -1 binary64)) (/.f64 #s(literal 1/3 binary64) x))))
(*.f64 (fma.f64 #s(literal 3 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal -3 binary64)) (sqrt.f64 x))
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 x #s(approx (+ (* 1/3 (sqrt (/ 1 (* x (* x x))))) (* (sqrt (/ 1 x)) (+ (* 3 y) -3))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 3 binary64) y)))))
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 y (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) x) #s(literal 3 binary64))))
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 x #s(approx (+ (* 1/3 (sqrt (/ 1 (* x (* x x))))) (* (sqrt (/ 1 x)) (+ (* 3 y) -3))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))))))
#s(approx (* (+ (/ 1/9 x) (+ y -1)) (* 3 (sqrt x))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) #s(approx (+ -3 (/ 1/3 x)) #s(literal -3 binary64))))
(*.f64 (*.f64 (sqrt.f64 x) (+.f64 (/.f64 #s(literal 1/9 binary64) x) (+.f64 y #s(literal -1 binary64)))) #s(literal 3 binary64))
(*.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) (+.f64 y #s(literal -1 binary64))) (sqrt.f64 x)) #s(literal 3 binary64))
Outputs
(*.f64 (*.f64 (sqrt.f64 x) (+.f64 (/.f64 #s(literal 1/9 binary64) x) (+.f64 y #s(literal -1 binary64)))) #s(literal 3 binary64))
Calls

3 calls:

12.0ms
x
12.0ms
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64)))
10.0ms
y
Results
AccuracySegmentsBranch
99.4%1x
99.4%1y
99.4%1(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64)))
Compiler

Compiled 22 to 16 computations (27.3% saved)

regimes52.0ms (0.5%)

Memory
1.5MiB live, 86.3MiB allocated
Counts
35 → 1
Calls
Call 1
Inputs
#s(approx (* (+ (/ 1/9 x) (+ y -1)) (* 3 (sqrt x))) (*.f64 (sqrt.f64 x) #s(approx (+ -3 (/ 1/3 x)) #s(literal -3 binary64))))
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64))))
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64)))
#s(approx (* (+ (/ 1/9 x) (+ y -1)) (* 3 (sqrt x))) (*.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) y)))
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) #s(approx (* x (+ (* 1/3 (sqrt (/ 1 (* x (* x x))))) (* (sqrt (/ 1 x)) (+ (* 3 y) -3)))) (*.f64 (sqrt.f64 x) (fma.f64 y #s(literal -3 binary64) #s(literal 3 binary64)))))
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))))
#s(approx (* (+ (/ 1/9 x) (+ y -1)) (* 3 (sqrt x))) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))))
#s(approx (* (+ (/ 1/9 x) (+ y -1)) (* 3 (sqrt x))) (*.f64 (sqrt.f64 x) (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64))))
#s(approx (* (+ (/ 1/9 x) (+ y -1)) (* 3 (sqrt x))) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)))
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) #s(approx (- (+ y (/ 1 (* x 9))) 1) (+.f64 y #s(literal -1 binary64))))
(*.f64 (*.f64 #s(approx (+ (/ 1/9 x) (+ y -1)) (+.f64 y #s(literal -1 binary64))) (sqrt.f64 x)) #s(literal 3 binary64))
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
#s(approx (* (+ (/ 1/9 x) (+ y -1)) (* 3 (sqrt x))) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
#s(approx (* (+ (/ 1/9 x) (+ y -1)) (* 3 (sqrt x))) (*.f64 (sqrt.f64 x) #s(approx (+ -3 (/ 1/3 x)) (/.f64 #s(literal 1/3 binary64) x))))
#s(approx (* (+ (/ 1/9 x) (+ y -1)) (* 3 (sqrt x))) (*.f64 (/.f64 #s(literal 1/3 binary64) x) (sqrt.f64 x)))
#s(approx (* (+ (/ 1/9 x) (+ y -1)) (* 3 (sqrt x))) (/.f64 (sqrt.f64 x) (*.f64 x #s(literal 3 binary64))))
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 x) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))))
#s(approx (* (+ (/ 1/9 x) (+ y -1)) (* 3 (sqrt x))) (*.f64 (sqrt.f64 x) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))))
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 #s(approx (+ (* 1/3 (sqrt (/ 1 (* x (* x x))))) (* (sqrt (/ 1 x)) (+ (* 3 y) -3))) (/.f64 (*.f64 y #s(literal 3 binary64)) (sqrt.f64 x))) x))
(*.f64 #s(approx (* (+ (/ 1/9 x) (+ y -1)) (sqrt x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/9 binary64))) #s(literal 3 binary64))
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) #s(approx (- (+ y (/ 1 (* x 9))) 1) (/.f64 #s(literal 1/9 binary64) x)))
(*.f64 (*.f64 #s(approx (+ (/ 1/9 x) (+ y -1)) (/.f64 #s(literal 1/9 binary64) x)) (sqrt.f64 x)) #s(literal 3 binary64))
#s(approx (* (+ (/ 1/9 x) (+ y -1)) (* 3 (sqrt x))) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))
#s(approx (* (+ (/ 1/9 x) (+ y -1)) (* 3 (sqrt x))) (*.f64 (neg.f64 (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal -3 binary64)))))
#s(approx (* (+ (/ 1/9 x) (+ y -1)) (* 3 (sqrt x))) (*.f64 (sqrt.f64 x) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 3 binary64))))))
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 #s(approx (+ y (/ 1 (* x 9))) (/.f64 #s(literal 1/9 binary64) x)) #s(literal 1 binary64)))
(*.f64 (*.f64 (sqrt.f64 x) (+.f64 #s(literal -1 binary64) #s(approx (+ y (/ 1 (* x 9))) (/.f64 #s(literal 1/9 binary64) x)))) #s(literal 3 binary64))
(*.f64 (*.f64 (+.f64 #s(literal -1 binary64) #s(approx (+ y (/ 1 (* x 9))) (/.f64 #s(literal 1/9 binary64) x))) #s(literal 3 binary64)) (sqrt.f64 x))
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)))))
#s(approx (* (+ (/ 1/9 x) (+ y -1)) (* 3 (sqrt x))) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) (+.f64 y #s(literal -1 binary64)) (/.f64 #s(literal 1/3 binary64) x))))
(*.f64 (fma.f64 #s(literal 3 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal -3 binary64)) (sqrt.f64 x))
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 x #s(approx (+ (* 1/3 (sqrt (/ 1 (* x (* x x))))) (* (sqrt (/ 1 x)) (+ (* 3 y) -3))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 3 binary64) y)))))
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 y (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) x) #s(literal 3 binary64))))
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 x #s(approx (+ (* 1/3 (sqrt (/ 1 (* x (* x x))))) (* (sqrt (/ 1 x)) (+ (* 3 y) -3))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))))))
#s(approx (* (+ (/ 1/9 x) (+ y -1)) (* 3 (sqrt x))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) #s(approx (+ -3 (/ 1/3 x)) #s(literal -3 binary64))))
Outputs
#s(approx (* (+ (/ 1/9 x) (+ y -1)) (* 3 (sqrt x))) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) (+.f64 y #s(literal -1 binary64)) (/.f64 #s(literal 1/3 binary64) x))))
Calls

3 calls:

26.0ms
y
14.0ms
x
10.0ms
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64)))
Results
AccuracySegmentsBranch
99.4%1x
99.4%1y
99.4%1(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64)))
Compiler

Compiled 22 to 16 computations (27.3% saved)

regimes41.0ms (0.4%)

Memory
39.1MiB live, 74.8MiB allocated
Counts
29 → 1
Calls
Call 1
Inputs
#s(approx (* (+ (/ 1/9 x) (+ y -1)) (* 3 (sqrt x))) (*.f64 (sqrt.f64 x) #s(approx (+ -3 (/ 1/3 x)) #s(literal -3 binary64))))
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64))))
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64)))
#s(approx (* (+ (/ 1/9 x) (+ y -1)) (* 3 (sqrt x))) (*.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) y)))
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) #s(approx (* x (+ (* 1/3 (sqrt (/ 1 (* x (* x x))))) (* (sqrt (/ 1 x)) (+ (* 3 y) -3)))) (*.f64 (sqrt.f64 x) (fma.f64 y #s(literal -3 binary64) #s(literal 3 binary64)))))
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))))
#s(approx (* (+ (/ 1/9 x) (+ y -1)) (* 3 (sqrt x))) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))))
#s(approx (* (+ (/ 1/9 x) (+ y -1)) (* 3 (sqrt x))) (*.f64 (sqrt.f64 x) (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64))))
#s(approx (* (+ (/ 1/9 x) (+ y -1)) (* 3 (sqrt x))) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)))
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) #s(approx (- (+ y (/ 1 (* x 9))) 1) (+.f64 y #s(literal -1 binary64))))
(*.f64 (*.f64 #s(approx (+ (/ 1/9 x) (+ y -1)) (+.f64 y #s(literal -1 binary64))) (sqrt.f64 x)) #s(literal 3 binary64))
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
#s(approx (* (+ (/ 1/9 x) (+ y -1)) (* 3 (sqrt x))) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
#s(approx (* (+ (/ 1/9 x) (+ y -1)) (* 3 (sqrt x))) (*.f64 (sqrt.f64 x) #s(approx (+ -3 (/ 1/3 x)) (/.f64 #s(literal 1/3 binary64) x))))
#s(approx (* (+ (/ 1/9 x) (+ y -1)) (* 3 (sqrt x))) (*.f64 (/.f64 #s(literal 1/3 binary64) x) (sqrt.f64 x)))
#s(approx (* (+ (/ 1/9 x) (+ y -1)) (* 3 (sqrt x))) (/.f64 (sqrt.f64 x) (*.f64 x #s(literal 3 binary64))))
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 x) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))))
#s(approx (* (+ (/ 1/9 x) (+ y -1)) (* 3 (sqrt x))) (*.f64 (sqrt.f64 x) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))))
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 #s(approx (+ (* 1/3 (sqrt (/ 1 (* x (* x x))))) (* (sqrt (/ 1 x)) (+ (* 3 y) -3))) (/.f64 (*.f64 y #s(literal 3 binary64)) (sqrt.f64 x))) x))
(*.f64 #s(approx (* (+ (/ 1/9 x) (+ y -1)) (sqrt x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/9 binary64))) #s(literal 3 binary64))
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) #s(approx (- (+ y (/ 1 (* x 9))) 1) (/.f64 #s(literal 1/9 binary64) x)))
(*.f64 (*.f64 #s(approx (+ (/ 1/9 x) (+ y -1)) (/.f64 #s(literal 1/9 binary64) x)) (sqrt.f64 x)) #s(literal 3 binary64))
#s(approx (* (+ (/ 1/9 x) (+ y -1)) (* 3 (sqrt x))) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))
#s(approx (* (+ (/ 1/9 x) (+ y -1)) (* 3 (sqrt x))) (*.f64 (neg.f64 (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal -3 binary64)))))
#s(approx (* (+ (/ 1/9 x) (+ y -1)) (* 3 (sqrt x))) (*.f64 (sqrt.f64 x) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 3 binary64))))))
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 #s(approx (+ y (/ 1 (* x 9))) (/.f64 #s(literal 1/9 binary64) x)) #s(literal 1 binary64)))
(*.f64 (*.f64 (sqrt.f64 x) (+.f64 #s(literal -1 binary64) #s(approx (+ y (/ 1 (* x 9))) (/.f64 #s(literal 1/9 binary64) x)))) #s(literal 3 binary64))
(*.f64 (*.f64 (+.f64 #s(literal -1 binary64) #s(approx (+ y (/ 1 (* x 9))) (/.f64 #s(literal 1/9 binary64) x))) #s(literal 3 binary64)) (sqrt.f64 x))
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)))))
Outputs
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)))))
Calls

3 calls:

23.0ms
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
99.4%1x
99.4%1y
99.4%1(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64)))
Compiler

Compiled 22 to 16 computations (27.3% saved)

regimes62.0ms (0.6%)

Memory
0.8MiB live, 100.3MiB allocated
Counts
28 → 3
Calls
Call 1
Inputs
#s(approx (* (+ (/ 1/9 x) (+ y -1)) (* 3 (sqrt x))) (*.f64 (sqrt.f64 x) #s(approx (+ -3 (/ 1/3 x)) #s(literal -3 binary64))))
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64))))
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64)))
#s(approx (* (+ (/ 1/9 x) (+ y -1)) (* 3 (sqrt x))) (*.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) y)))
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) #s(approx (* x (+ (* 1/3 (sqrt (/ 1 (* x (* x x))))) (* (sqrt (/ 1 x)) (+ (* 3 y) -3)))) (*.f64 (sqrt.f64 x) (fma.f64 y #s(literal -3 binary64) #s(literal 3 binary64)))))
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))))
#s(approx (* (+ (/ 1/9 x) (+ y -1)) (* 3 (sqrt x))) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))))
#s(approx (* (+ (/ 1/9 x) (+ y -1)) (* 3 (sqrt x))) (*.f64 (sqrt.f64 x) (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64))))
#s(approx (* (+ (/ 1/9 x) (+ y -1)) (* 3 (sqrt x))) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)))
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) #s(approx (- (+ y (/ 1 (* x 9))) 1) (+.f64 y #s(literal -1 binary64))))
(*.f64 (*.f64 #s(approx (+ (/ 1/9 x) (+ y -1)) (+.f64 y #s(literal -1 binary64))) (sqrt.f64 x)) #s(literal 3 binary64))
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
#s(approx (* (+ (/ 1/9 x) (+ y -1)) (* 3 (sqrt x))) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
#s(approx (* (+ (/ 1/9 x) (+ y -1)) (* 3 (sqrt x))) (*.f64 (sqrt.f64 x) #s(approx (+ -3 (/ 1/3 x)) (/.f64 #s(literal 1/3 binary64) x))))
#s(approx (* (+ (/ 1/9 x) (+ y -1)) (* 3 (sqrt x))) (*.f64 (/.f64 #s(literal 1/3 binary64) x) (sqrt.f64 x)))
#s(approx (* (+ (/ 1/9 x) (+ y -1)) (* 3 (sqrt x))) (/.f64 (sqrt.f64 x) (*.f64 x #s(literal 3 binary64))))
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 x) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))))
#s(approx (* (+ (/ 1/9 x) (+ y -1)) (* 3 (sqrt x))) (*.f64 (sqrt.f64 x) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))))
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 #s(approx (+ (* 1/3 (sqrt (/ 1 (* x (* x x))))) (* (sqrt (/ 1 x)) (+ (* 3 y) -3))) (/.f64 (*.f64 y #s(literal 3 binary64)) (sqrt.f64 x))) x))
(*.f64 #s(approx (* (+ (/ 1/9 x) (+ y -1)) (sqrt x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/9 binary64))) #s(literal 3 binary64))
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) #s(approx (- (+ y (/ 1 (* x 9))) 1) (/.f64 #s(literal 1/9 binary64) x)))
(*.f64 (*.f64 #s(approx (+ (/ 1/9 x) (+ y -1)) (/.f64 #s(literal 1/9 binary64) x)) (sqrt.f64 x)) #s(literal 3 binary64))
#s(approx (* (+ (/ 1/9 x) (+ y -1)) (* 3 (sqrt x))) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))
#s(approx (* (+ (/ 1/9 x) (+ y -1)) (* 3 (sqrt x))) (*.f64 (neg.f64 (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal -3 binary64)))))
#s(approx (* (+ (/ 1/9 x) (+ y -1)) (* 3 (sqrt x))) (*.f64 (sqrt.f64 x) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 3 binary64))))))
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 #s(approx (+ y (/ 1 (* x 9))) (/.f64 #s(literal 1/9 binary64) x)) #s(literal 1 binary64)))
(*.f64 (*.f64 (sqrt.f64 x) (+.f64 #s(literal -1 binary64) #s(approx (+ y (/ 1 (* x 9))) (/.f64 #s(literal 1/9 binary64) x)))) #s(literal 3 binary64))
(*.f64 (*.f64 (+.f64 #s(literal -1 binary64) #s(approx (+ y (/ 1 (* x 9))) (/.f64 #s(literal 1/9 binary64) x))) #s(literal 3 binary64)) (sqrt.f64 x))
Outputs
(*.f64 (*.f64 #s(approx (+ (/ 1/9 x) (+ y -1)) (+.f64 y #s(literal -1 binary64))) (sqrt.f64 x)) #s(literal 3 binary64))
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 #s(approx (+ y (/ 1 (* x 9))) (/.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 #s(literal 3 binary64) y #s(literal -3 binary64))))
Calls

3 calls:

23.0ms
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64)))
8.0ms
x
8.0ms
y
Results
AccuracySegmentsBranch
90.8%2x
84.4%3y
95.3%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 22 to 16 computations (27.3% saved)

regimes19.0ms (0.2%)

Memory
-7.3MiB live, 34.5MiB allocated
Counts
25 → 3
Calls
Call 1
Inputs
#s(approx (* (+ (/ 1/9 x) (+ y -1)) (* 3 (sqrt x))) (*.f64 (sqrt.f64 x) #s(approx (+ -3 (/ 1/3 x)) #s(literal -3 binary64))))
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64))))
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64)))
#s(approx (* (+ (/ 1/9 x) (+ y -1)) (* 3 (sqrt x))) (*.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) y)))
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) #s(approx (* x (+ (* 1/3 (sqrt (/ 1 (* x (* x x))))) (* (sqrt (/ 1 x)) (+ (* 3 y) -3)))) (*.f64 (sqrt.f64 x) (fma.f64 y #s(literal -3 binary64) #s(literal 3 binary64)))))
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))))
#s(approx (* (+ (/ 1/9 x) (+ y -1)) (* 3 (sqrt x))) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))))
#s(approx (* (+ (/ 1/9 x) (+ y -1)) (* 3 (sqrt x))) (*.f64 (sqrt.f64 x) (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64))))
#s(approx (* (+ (/ 1/9 x) (+ y -1)) (* 3 (sqrt x))) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)))
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) #s(approx (- (+ y (/ 1 (* x 9))) 1) (+.f64 y #s(literal -1 binary64))))
(*.f64 (*.f64 #s(approx (+ (/ 1/9 x) (+ y -1)) (+.f64 y #s(literal -1 binary64))) (sqrt.f64 x)) #s(literal 3 binary64))
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
#s(approx (* (+ (/ 1/9 x) (+ y -1)) (* 3 (sqrt x))) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
#s(approx (* (+ (/ 1/9 x) (+ y -1)) (* 3 (sqrt x))) (*.f64 (sqrt.f64 x) #s(approx (+ -3 (/ 1/3 x)) (/.f64 #s(literal 1/3 binary64) x))))
#s(approx (* (+ (/ 1/9 x) (+ y -1)) (* 3 (sqrt x))) (*.f64 (/.f64 #s(literal 1/3 binary64) x) (sqrt.f64 x)))
#s(approx (* (+ (/ 1/9 x) (+ y -1)) (* 3 (sqrt x))) (/.f64 (sqrt.f64 x) (*.f64 x #s(literal 3 binary64))))
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 x) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))))
#s(approx (* (+ (/ 1/9 x) (+ y -1)) (* 3 (sqrt x))) (*.f64 (sqrt.f64 x) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))))
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 #s(approx (+ (* 1/3 (sqrt (/ 1 (* x (* x x))))) (* (sqrt (/ 1 x)) (+ (* 3 y) -3))) (/.f64 (*.f64 y #s(literal 3 binary64)) (sqrt.f64 x))) x))
(*.f64 #s(approx (* (+ (/ 1/9 x) (+ y -1)) (sqrt x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/9 binary64))) #s(literal 3 binary64))
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) #s(approx (- (+ y (/ 1 (* x 9))) 1) (/.f64 #s(literal 1/9 binary64) x)))
(*.f64 (*.f64 #s(approx (+ (/ 1/9 x) (+ y -1)) (/.f64 #s(literal 1/9 binary64) x)) (sqrt.f64 x)) #s(literal 3 binary64))
#s(approx (* (+ (/ 1/9 x) (+ y -1)) (* 3 (sqrt x))) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))
#s(approx (* (+ (/ 1/9 x) (+ y -1)) (* 3 (sqrt x))) (*.f64 (neg.f64 (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal -3 binary64)))))
#s(approx (* (+ (/ 1/9 x) (+ y -1)) (* 3 (sqrt x))) (*.f64 (sqrt.f64 x) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 3 binary64))))))
Outputs
(*.f64 (*.f64 #s(approx (+ (/ 1/9 x) (+ y -1)) (+.f64 y #s(literal -1 binary64))) (sqrt.f64 x)) #s(literal 3 binary64))
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 x) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))))
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))))
Calls

1 calls:

18.0ms
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64)))
Results
AccuracySegmentsBranch
95.3%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 12 computations (25% saved)

regimes6.0ms (0.1%)

Memory
21.8MiB live, 21.8MiB allocated
Counts
16 → 3
Calls
Call 1
Inputs
#s(approx (* (+ (/ 1/9 x) (+ y -1)) (* 3 (sqrt x))) (*.f64 (sqrt.f64 x) #s(approx (+ -3 (/ 1/3 x)) #s(literal -3 binary64))))
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64))))
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64)))
#s(approx (* (+ (/ 1/9 x) (+ y -1)) (* 3 (sqrt x))) (*.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) y)))
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) #s(approx (* x (+ (* 1/3 (sqrt (/ 1 (* x (* x x))))) (* (sqrt (/ 1 x)) (+ (* 3 y) -3)))) (*.f64 (sqrt.f64 x) (fma.f64 y #s(literal -3 binary64) #s(literal 3 binary64)))))
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))))
#s(approx (* (+ (/ 1/9 x) (+ y -1)) (* 3 (sqrt x))) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))))
#s(approx (* (+ (/ 1/9 x) (+ y -1)) (* 3 (sqrt x))) (*.f64 (sqrt.f64 x) (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64))))
#s(approx (* (+ (/ 1/9 x) (+ y -1)) (* 3 (sqrt x))) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)))
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) #s(approx (- (+ y (/ 1 (* x 9))) 1) (+.f64 y #s(literal -1 binary64))))
(*.f64 (*.f64 #s(approx (+ (/ 1/9 x) (+ y -1)) (+.f64 y #s(literal -1 binary64))) (sqrt.f64 x)) #s(literal 3 binary64))
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
#s(approx (* (+ (/ 1/9 x) (+ y -1)) (* 3 (sqrt x))) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
#s(approx (* (+ (/ 1/9 x) (+ y -1)) (* 3 (sqrt x))) (*.f64 (sqrt.f64 x) #s(approx (+ -3 (/ 1/3 x)) (/.f64 #s(literal 1/3 binary64) x))))
#s(approx (* (+ (/ 1/9 x) (+ y -1)) (* 3 (sqrt x))) (*.f64 (/.f64 #s(literal 1/3 binary64) x) (sqrt.f64 x)))
#s(approx (* (+ (/ 1/9 x) (+ y -1)) (* 3 (sqrt x))) (/.f64 (sqrt.f64 x) (*.f64 x #s(literal 3 binary64))))
Outputs
(*.f64 (*.f64 #s(approx (+ (/ 1/9 x) (+ y -1)) (+.f64 y #s(literal -1 binary64))) (sqrt.f64 x)) #s(literal 3 binary64))
#s(approx (* (+ (/ 1/9 x) (+ y -1)) (* 3 (sqrt x))) (/.f64 (sqrt.f64 x) (*.f64 x #s(literal 3 binary64))))
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #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
94.9%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 16 to 12 computations (25% saved)

regimes16.0ms (0.1%)

Memory
-16.9MiB live, 25.5MiB allocated
Counts
15 → 3
Calls
Call 1
Inputs
#s(approx (* (+ (/ 1/9 x) (+ y -1)) (* 3 (sqrt x))) (*.f64 (sqrt.f64 x) #s(approx (+ -3 (/ 1/3 x)) #s(literal -3 binary64))))
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64))))
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64)))
#s(approx (* (+ (/ 1/9 x) (+ y -1)) (* 3 (sqrt x))) (*.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) y)))
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) #s(approx (* x (+ (* 1/3 (sqrt (/ 1 (* x (* x x))))) (* (sqrt (/ 1 x)) (+ (* 3 y) -3)))) (*.f64 (sqrt.f64 x) (fma.f64 y #s(literal -3 binary64) #s(literal 3 binary64)))))
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))))
#s(approx (* (+ (/ 1/9 x) (+ y -1)) (* 3 (sqrt x))) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))))
#s(approx (* (+ (/ 1/9 x) (+ y -1)) (* 3 (sqrt x))) (*.f64 (sqrt.f64 x) (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64))))
#s(approx (* (+ (/ 1/9 x) (+ y -1)) (* 3 (sqrt x))) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)))
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) #s(approx (- (+ y (/ 1 (* x 9))) 1) (+.f64 y #s(literal -1 binary64))))
(*.f64 (*.f64 #s(approx (+ (/ 1/9 x) (+ y -1)) (+.f64 y #s(literal -1 binary64))) (sqrt.f64 x)) #s(literal 3 binary64))
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
#s(approx (* (+ (/ 1/9 x) (+ y -1)) (* 3 (sqrt x))) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
#s(approx (* (+ (/ 1/9 x) (+ y -1)) (* 3 (sqrt x))) (*.f64 (sqrt.f64 x) #s(approx (+ -3 (/ 1/3 x)) (/.f64 #s(literal 1/3 binary64) x))))
#s(approx (* (+ (/ 1/9 x) (+ y -1)) (* 3 (sqrt x))) (*.f64 (/.f64 #s(literal 1/3 binary64) x) (sqrt.f64 x)))
Outputs
(*.f64 (*.f64 #s(approx (+ (/ 1/9 x) (+ y -1)) (+.f64 y #s(literal -1 binary64))) (sqrt.f64 x)) #s(literal 3 binary64))
#s(approx (* (+ (/ 1/9 x) (+ y -1)) (* 3 (sqrt x))) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)))
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))))
Calls

1 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)))
Results
AccuracySegmentsBranch
94.9%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 16 to 12 computations (25% saved)

regimes4.0ms (0%)

Memory
21.1MiB live, 21.1MiB allocated
Counts
10 → 3
Calls
Call 1
Inputs
#s(approx (* (+ (/ 1/9 x) (+ y -1)) (* 3 (sqrt x))) (*.f64 (sqrt.f64 x) #s(approx (+ -3 (/ 1/3 x)) #s(literal -3 binary64))))
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64))))
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64)))
#s(approx (* (+ (/ 1/9 x) (+ y -1)) (* 3 (sqrt x))) (*.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) y)))
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) #s(approx (* x (+ (* 1/3 (sqrt (/ 1 (* x (* x x))))) (* (sqrt (/ 1 x)) (+ (* 3 y) -3)))) (*.f64 (sqrt.f64 x) (fma.f64 y #s(literal -3 binary64) #s(literal 3 binary64)))))
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))))
#s(approx (* (+ (/ 1/9 x) (+ y -1)) (* 3 (sqrt x))) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))))
#s(approx (* (+ (/ 1/9 x) (+ y -1)) (* 3 (sqrt x))) (*.f64 (sqrt.f64 x) (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64))))
#s(approx (* (+ (/ 1/9 x) (+ y -1)) (* 3 (sqrt x))) (/.f64 #s(literal 1/3 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))))
#s(approx (* (+ (/ 1/9 x) (+ y -1)) (* 3 (sqrt x))) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)))
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #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
94.9%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 16 to 12 computations (25% saved)

regimes7.0ms (0.1%)

Memory
-25.9MiB live, 19.8MiB allocated
Counts
9 → 3
Calls
Call 1
Inputs
#s(approx (* (+ (/ 1/9 x) (+ y -1)) (* 3 (sqrt x))) (*.f64 (sqrt.f64 x) #s(approx (+ -3 (/ 1/3 x)) #s(literal -3 binary64))))
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64))))
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64)))
#s(approx (* (+ (/ 1/9 x) (+ y -1)) (* 3 (sqrt x))) (*.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) y)))
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) #s(approx (* x (+ (* 1/3 (sqrt (/ 1 (* x (* x x))))) (* (sqrt (/ 1 x)) (+ (* 3 y) -3)))) (*.f64 (sqrt.f64 x) (fma.f64 y #s(literal -3 binary64) #s(literal 3 binary64)))))
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))))
#s(approx (* (+ (/ 1/9 x) (+ y -1)) (* 3 (sqrt x))) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))))
#s(approx (* (+ (/ 1/9 x) (+ y -1)) (* 3 (sqrt x))) (*.f64 (sqrt.f64 x) (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64))))
#s(approx (* (+ (/ 1/9 x) (+ y -1)) (* 3 (sqrt x))) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)))
Outputs
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))))
#s(approx (* (+ (/ 1/9 x) (+ y -1)) (* 3 (sqrt x))) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)))
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))))
Calls

1 calls:

6.0ms
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64)))
Results
AccuracySegmentsBranch
94.9%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 16 to 12 computations (25% saved)

regimes44.0ms (0.4%)

Memory
-14.7MiB live, 41.5MiB allocated
Counts
8 → 1
Calls
Call 1
Inputs
#s(approx (* (+ (/ 1/9 x) (+ y -1)) (* 3 (sqrt x))) (*.f64 (sqrt.f64 x) #s(approx (+ -3 (/ 1/3 x)) #s(literal -3 binary64))))
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64))))
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64)))
#s(approx (* (+ (/ 1/9 x) (+ y -1)) (* 3 (sqrt x))) (*.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) y)))
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) #s(approx (* x (+ (* 1/3 (sqrt (/ 1 (* x (* x x))))) (* (sqrt (/ 1 x)) (+ (* 3 y) -3)))) (*.f64 (sqrt.f64 x) (fma.f64 y #s(literal -3 binary64) #s(literal 3 binary64)))))
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))))
#s(approx (* (+ (/ 1/9 x) (+ y -1)) (* 3 (sqrt x))) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))))
#s(approx (* (+ (/ 1/9 x) (+ y -1)) (* 3 (sqrt x))) (*.f64 (sqrt.f64 x) (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64))))
Outputs
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))))
Calls

3 calls:

37.0ms
y
3.0ms
x
3.0ms
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64)))
Results
AccuracySegmentsBranch
54.9%1y
54.9%1x
54.9%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 22 to 16 computations (27.3% saved)

regimes8.0ms (0.1%)

Memory
26.4MiB live, 26.4MiB allocated
Counts
5 → 3
Calls
Call 1
Inputs
#s(approx (* (+ (/ 1/9 x) (+ y -1)) (* 3 (sqrt x))) (*.f64 (sqrt.f64 x) #s(approx (+ -3 (/ 1/3 x)) #s(literal -3 binary64))))
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64))))
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64)))
#s(approx (* (+ (/ 1/9 x) (+ y -1)) (* 3 (sqrt x))) (*.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) y)))
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) #s(approx (* x (+ (* 1/3 (sqrt (/ 1 (* x (* x x))))) (* (sqrt (/ 1 x)) (+ (* 3 y) -3)))) (*.f64 (sqrt.f64 x) (fma.f64 y #s(literal -3 binary64) #s(literal 3 binary64)))))
Outputs
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64)))
#s(approx (* (+ (/ 1/9 x) (+ y -1)) (* 3 (sqrt x))) (*.f64 (sqrt.f64 x) #s(approx (+ -3 (/ 1/3 x)) #s(literal -3 binary64))))
#s(approx (* (+ (/ 1/9 x) (+ y -1)) (* 3 (sqrt x))) (*.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) y)))
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)))
2.0ms
x
2.0ms
y
Results
AccuracySegmentsBranch
39.8%4x
54.1%3y
47.3%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 22 to 16 computations (27.3% saved)

regimes2.0ms (0%)

Memory
6.7MiB live, 6.7MiB allocated
Counts
3 → 3
Calls
Call 1
Inputs
#s(approx (* (+ (/ 1/9 x) (+ y -1)) (* 3 (sqrt x))) (*.f64 (sqrt.f64 x) #s(approx (+ -3 (/ 1/3 x)) #s(literal -3 binary64))))
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64))))
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64)))
Outputs
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64)))
#s(approx (* (+ (/ 1/9 x) (+ y -1)) (* 3 (sqrt x))) (*.f64 (sqrt.f64 x) #s(approx (+ -3 (/ 1/3 x)) #s(literal -3 binary64))))
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64))))
Calls

1 calls:

2.0ms
y
Results
AccuracySegmentsBranch
54.1%3y
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes6.0ms (0.1%)

Memory
-43.7MiB live, 6.4MiB allocated
Counts
2 → 3
Calls
Call 1
Inputs
#s(approx (* (+ (/ 1/9 x) (+ y -1)) (* 3 (sqrt x))) (*.f64 (sqrt.f64 x) #s(approx (+ -3 (/ 1/3 x)) #s(literal -3 binary64))))
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64))))
Outputs
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64))))
#s(approx (* (+ (/ 1/9 x) (+ y -1)) (* 3 (sqrt x))) (*.f64 (sqrt.f64 x) #s(approx (+ -3 (/ 1/3 x)) #s(literal -3 binary64))))
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64))))
Calls

1 calls:

2.0ms
y
Results
AccuracySegmentsBranch
54.1%3y
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes4.0ms (0%)

Memory
10.3MiB live, 10.3MiB allocated
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

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

3 calls:

1.0ms
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64)))
1.0ms
y
1.0ms
x
Results
AccuracySegmentsBranch
25.7%1x
25.7%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)))
25.7%1y
Compiler

Compiled 22 to 16 computations (27.3% saved)

bsearch0.0ms (0%)

Memory
0.7MiB live, 0.7MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
1.3443867763815294e+153
1.762929413212141e+156
0.0ms
-1.360161496343824e+41
-4.656169087265014e+38
Compiler

Compiled 19 to 17 computations (10.5% saved)

bsearch0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
1.3443867763815294e+153
1.762929413212141e+156
0.0ms
-1.360161496343824e+41
-4.656169087265014e+38
Compiler

Compiled 19 to 17 computations (10.5% saved)

bsearch0.0ms (0%)

Memory
0.4MiB live, 0.5MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
1.3443867763815294e+153
1.762929413212141e+156
0.0ms
-499.27987529998313
679.377818475773
Compiler

Compiled 19 to 17 computations (10.5% saved)

bsearch0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
1.3443867763815294e+153
1.762929413212141e+156
0.0ms
-499.27987529998313
679.377818475773
Compiler

Compiled 19 to 17 computations (10.5% saved)

bsearch0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
1.3443867763815294e+153
1.762929413212141e+156
0.0ms
-499.27987529998313
679.377818475773
Compiler

Compiled 19 to 17 computations (10.5% saved)

bsearch0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
1.3443867763815294e+153
1.762929413212141e+156
0.0ms
-499.27987529998313
679.377818475773
Compiler

Compiled 19 to 17 computations (10.5% saved)

bsearch27.0ms (0.3%)

Memory
-8.4MiB live, 38.2MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
12.0ms
7.390664691936076e-9
8.280736336356347e-6
8.0ms
-1126.4872116803576
-448.5640604664045
Samples
13.0ms208×0valid
Compiler

Compiled 266 to 186 computations (30.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 9.0ms
ival-mult: 3.0ms (34.5% of total)
ival-sqrt: 2.0ms (23% of total)
ival-div: 1.0ms (11.5% of total)
ival-sub: 1.0ms (11.5% of total)
ival-add: 1.0ms (11.5% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch1.0ms (0%)

Memory
3.7MiB live, 3.7MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
1.0ms
7.390664691936076e-9
8.280736336356347e-6
0.0ms
-1126.4872116803576
-448.5640604664045
Compiler

Compiled 266 to 186 computations (30.1% saved)

bsearch1.0ms (0%)

Memory
2.6MiB live, 2.6MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
1.0ms
7.390664691936076e-9
8.280736336356347e-6
0.0ms
-1126.4872116803576
-448.5640604664045
Compiler

Compiled 266 to 186 computations (30.1% saved)

simplify13.0ms (0.1%)

Memory
33.0MiB live, 33.0MiB allocated
Algorithm
egg-herbie
Rules
44×*-commutative_binary64
14×+-commutative_binary64
sub-neg_binary64
mul-1-neg_binary64
1-exp_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
098887
1129887
2133887
3139887
Stop Event
saturated
Calls
Call 1
Inputs
(*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) (+.f64 y #s(literal -1 binary64))) (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))
(*.f64 (*.f64 (sqrt.f64 x) (+.f64 (/.f64 #s(literal 1/9 binary64) x) (+.f64 y #s(literal -1 binary64)))) #s(literal 3 binary64))
#s(approx (* (+ (/ 1/9 x) (+ y -1)) (* 3 (sqrt x))) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) (+.f64 y #s(literal -1 binary64)) (/.f64 #s(literal 1/3 binary64) x))))
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y (+.f64 #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 -100000000000000000620008645040778319495168 binary64)) (*.f64 (*.f64 #s(approx (+ (/ 1/9 x) (+ y -1)) (+.f64 y #s(literal -1 binary64))) (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 1999999999999999999466806008246307489711078038236873372571680376048739359044847523345839519129134316887338757648057420040785188188258060440266031719514112 binary64)) (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 #s(approx (+ y (/ 1 (* x 9))) (/.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 #s(literal 3 binary64) y #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 -100000000000000000620008645040778319495168 binary64)) (*.f64 (*.f64 #s(approx (+ (/ 1/9 x) (+ y -1)) (+.f64 y #s(literal -1 binary64))) (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 1999999999999999999466806008246307489711078038236873372571680376048739359044847523345839519129134316887338757648057420040785188188258060440266031719514112 binary64)) #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 x) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)))) #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #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 -400 binary64)) (*.f64 (*.f64 #s(approx (+ (/ 1/9 x) (+ y -1)) (+.f64 y #s(literal -1 binary64))) (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 1999999999999999999466806008246307489711078038236873372571680376048739359044847523345839519129134316887338757648057420040785188188258060440266031719514112 binary64)) #s(approx (* (+ (/ 1/9 x) (+ y -1)) (* 3 (sqrt x))) (/.f64 (sqrt.f64 x) (*.f64 x #s(literal 3 binary64)))) #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #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 -400 binary64)) (*.f64 (*.f64 #s(approx (+ (/ 1/9 x) (+ y -1)) (+.f64 y #s(literal -1 binary64))) (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 1999999999999999999466806008246307489711078038236873372571680376048739359044847523345839519129134316887338757648057420040785188188258060440266031719514112 binary64)) #s(approx (* (+ (/ 1/9 x) (+ y -1)) (* 3 (sqrt x))) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #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 -400 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 1999999999999999999466806008246307489711078038236873372571680376048739359044847523345839519129134316887338757648057420040785188188258060440266031719514112 binary64)) #s(approx (* (+ (/ 1/9 x) (+ y -1)) (* 3 (sqrt x))) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #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 -400 binary64)) #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #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 1999999999999999999466806008246307489711078038236873372571680376048739359044847523345839519129134316887338757648057420040785188188258060440266031719514112 binary64)) #s(approx (* (+ (/ 1/9 x) (+ y -1)) (* 3 (sqrt x))) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))))))
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))))
(if (<=.f64 y #s(literal -450 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 4722366482869645/590295810358705651712 binary64)) #s(approx (* (+ (/ 1/9 x) (+ y -1)) (* 3 (sqrt x))) (*.f64 (sqrt.f64 x) #s(approx (+ -3 (/ 1/3 x)) #s(literal -3 binary64)))) #s(approx (* (+ (/ 1/9 x) (+ y -1)) (* 3 (sqrt x))) (*.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) y)))))
(if (<=.f64 y #s(literal -450 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 4722366482869645/590295810358705651712 binary64)) #s(approx (* (+ (/ 1/9 x) (+ y -1)) (* 3 (sqrt x))) (*.f64 (sqrt.f64 x) #s(approx (+ -3 (/ 1/3 x)) #s(literal -3 binary64)))) #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64))))))
(if (<=.f64 y #s(literal -450 binary64)) #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64)))) (if (<=.f64 y #s(literal 4722366482869645/590295810358705651712 binary64)) #s(approx (* (+ (/ 1/9 x) (+ y -1)) (* 3 (sqrt x))) (*.f64 (sqrt.f64 x) #s(approx (+ -3 (/ 1/3 x)) #s(literal -3 binary64)))) #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64))))))
#s(approx (* (+ (/ 1/9 x) (+ y -1)) (* 3 (sqrt x))) (*.f64 (sqrt.f64 x) #s(approx (+ -3 (/ 1/3 x)) #s(literal -3 binary64))))
Outputs
(*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) (+.f64 y #s(literal -1 binary64))) (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))
(*.f64 (*.f64 (sqrt.f64 x) (+.f64 (/.f64 #s(literal 1/9 binary64) x) (+.f64 y #s(literal -1 binary64)))) #s(literal 3 binary64))
(*.f64 #s(literal 3 binary64) (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) (+.f64 y #s(literal -1 binary64))) (sqrt.f64 x)))
#s(approx (* (+ (/ 1/9 x) (+ y -1)) (* 3 (sqrt x))) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) (+.f64 y #s(literal -1 binary64)) (/.f64 #s(literal 1/3 binary64) x))))
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)))))
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y (+.f64 (/.f64 #s(literal 1/3 binary64) 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 -100000000000000000620008645040778319495168 binary64)) (*.f64 (*.f64 #s(approx (+ (/ 1/9 x) (+ y -1)) (+.f64 y #s(literal -1 binary64))) (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 1999999999999999999466806008246307489711078038236873372571680376048739359044847523345839519129134316887338757648057420040785188188258060440266031719514112 binary64)) (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 #s(approx (+ y (/ 1 (* x 9))) (/.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 #s(literal 3 binary64) y #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 -100000000000000000620008645040778319495168 binary64)) (*.f64 #s(literal 3 binary64) (*.f64 (sqrt.f64 x) #s(approx (+ (/ 1/9 x) (+ y -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 1999999999999999999466806008246307489711078038236873372571680376048739359044847523345839519129134316887338757648057420040785188188258060440266031719514112 binary64)) (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (+.f64 #s(approx (+ y (/ 1 (* x 9))) (/.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 #s(literal 3 binary64) y #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 -100000000000000000620008645040778319495168 binary64)) (*.f64 (*.f64 #s(approx (+ (/ 1/9 x) (+ y -1)) (+.f64 y #s(literal -1 binary64))) (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 1999999999999999999466806008246307489711078038236873372571680376048739359044847523345839519129134316887338757648057420040785188188258060440266031719514112 binary64)) #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 x) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)))) #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))))))
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(if (<=.f64 y #s(literal -450 binary64)) #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64)))) (if (<=.f64 y #s(literal 4722366482869645/590295810358705651712 binary64)) #s(approx (* (+ (/ 1/9 x) (+ y -1)) (* 3 (sqrt x))) (*.f64 (sqrt.f64 x) #s(approx (+ -3 (/ 1/3 x)) #s(literal -3 binary64)))) #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64))))))
(if (<=.f64 y #s(literal -450 binary64)) #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) (if (<=.f64 y #s(literal 4722366482869645/590295810358705651712 binary64)) #s(approx (* (+ (/ 1/9 x) (+ y -1)) (* 3 (sqrt x))) (*.f64 (sqrt.f64 x) #s(approx (+ -3 (/ 1/3 x)) #s(literal -3 binary64)))) #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))))
#s(approx (* (+ (/ 1/9 x) (+ y -1)) (* 3 (sqrt x))) (*.f64 (sqrt.f64 x) #s(approx (+ -3 (/ 1/3 x)) #s(literal -3 binary64))))

soundness1.8s (16.8%)

Memory
-21.6MiB live, 1 458.2MiB allocated
Rules
13 476×lower-fma.f64
13 476×lower-fma.f32
13 218×lower-fma.f64
13 218×lower-fma.f32
9 212×lower-fma.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01232
01932
16626
252126
3647626
0829525
036190
053185
1210168
21623168
08783168
044242
071232
1270202
22189198
08374198
072570
1195543
2610543
32210541
46078541
08442509
01553923
14553723
214603713
333143702
087233446
01954512
15794384
220104380
341984363
085834068
Stop Event
fuel
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
Compiler

Compiled 1 553 to 690 computations (55.6% saved)

preprocess86.0ms (0.8%)

Memory
8.4MiB live, 147.8MiB allocated
Compiler

Compiled 1 060 to 190 computations (82.1% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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