Numeric.SpecFunctions:invIncompleteGamma from math-functions-0.1.5.2, D

Time bar (total: 8.3s)

start0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated

analyze0.0ms (0%)

Memory
0.9MiB live, 0.9MiB allocated
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
0%0%99.9%0.1%0%0%0%1
100%50%0%0.1%0%50%0%2
Compiler

Compiled 16 to 14 computations (12.5% saved)

sample1.2s (14%)

Memory
38.9MiB live, 1 570.6MiB allocated
Samples
836.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 560.0ms
ival-mult: 249.0ms (44.5% of total)
ival-div: 128.0ms (22.9% of total)
ival-sub: 98.0ms (17.5% of total)
ival-sqrt: 66.0ms (11.8% of total)
exact: 11.0ms (2% of total)
ival-true: 6.0ms (1.1% of total)
ival-assert: 3.0ms (0.5% of total)
Bogosity

explain223.0ms (2.7%)

Memory
-1.3MiB live, 199.1MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-(*.f64 #s(literal 3 binary64) (sqrt.f64 x))
00-0-(sqrt.f64 x)
00-0-(/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))
00-0-#s(literal 3 binary64)
00-0-#s(literal 1 binary64)
00-0-#s(literal 9 binary64)
00-0-(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64))))
00-0-(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
00-0-y
00-0-(*.f64 x #s(literal 9 binary64))
00-0-(/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))
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
60.0ms512×0valid
Compiler

Compiled 110 to 40 computations (63.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 22.0ms
ival-div: 7.0ms (31.5% of total)
ival-mult: 6.0ms (27% of total)
ival-sub: 4.0ms (18% of total)
ival-sqrt: 4.0ms (18% of total)
exact: 1.0ms (4.5% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess145.0ms (1.8%)

Memory
1.3MiB live, 80.0MiB allocated
Algorithm
egg-herbie
Rules
736×lower-fma.f64
736×lower-fma.f32
560×times-frac
400×lower-*.f32
396×lower-*.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03078
18064
223762
365062
4148862
5286762
6347962
7359062
8362262
9362662
10362662
11363062
01214
01914
13312
27112
314712
427012
550712
6100512
7127112
8136212
9137612
10137912
0137911
Stop Event
iter limit
saturated
iter limit
saturated
Calls
Call 1
Inputs
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
Outputs
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
(fma.f64 #s(literal -1/3 binary64) (/.f64 y (sqrt.f64 x)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)))
Compiler

Compiled 14 to 12 computations (14.3% saved)

eval0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated
Compiler

Compiled 0 to 2 computations (-∞% saved)

prune1.0ms (0%)

Memory
1.2MiB live, 1.2MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.6%
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
Compiler

Compiled 14 to 12 computations (14.3% saved)

simplify56.0ms (0.7%)

Memory
-9.3MiB live, 48.7MiB allocated
Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 x #s(literal 9 binary64))
cost-diff0
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64))))
cost-diff128
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
cost-diff320
(/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))
Rules
736×lower-fma.f64
736×lower-fma.f32
400×lower-*.f32
396×lower-*.f64
186×cancel-sign-sub-inv
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01246
01946
13340
27140
314740
427040
550740
6100540
7127140
8136240
9137640
10137940
0137939
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64))))
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))
(*.f64 x #s(literal 9 binary64))
x
#s(literal 9 binary64)
(/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))
y
(*.f64 #s(literal 3 binary64) (sqrt.f64 x))
#s(literal 3 binary64)
(sqrt.f64 x)
Outputs
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
(fma.f64 #s(literal -1/3 binary64) (/.f64 y (sqrt.f64 x)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)))
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64))))
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x))
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))
(/.f64 #s(literal 1/9 binary64) x)
(*.f64 x #s(literal 9 binary64))
(*.f64 #s(literal 9 binary64) x)
x
#s(literal 9 binary64)
(/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))
(/.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64)))
y
(*.f64 #s(literal 3 binary64) (sqrt.f64 x))
(*.f64 (sqrt.f64 x) #s(literal 3 binary64))
#s(literal 3 binary64)
(sqrt.f64 x)

localize62.0ms (0.7%)

Memory
-24.3MiB live, 54.3MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0.0078125
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
accuracy0.19140625
(/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))
accuracy0.29296875
(/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))
accuracy0.32421875
(*.f64 #s(literal 3 binary64) (sqrt.f64 x))
Samples
30.0ms256×0valid
Compiler

Compiled 48 to 14 computations (70.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 22.0ms
ival-mult: 14.0ms (63.1% of total)
ival-div: 3.0ms (13.5% of total)
ival-sub: 2.0ms (9% of total)
ival-sqrt: 2.0ms (9% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series13.0ms (0.2%)

Memory
21.2MiB live, 21.2MiB allocated
Counts
6 → 96
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 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) (patch (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) #<representation binary64>) () ())
#s(alt (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) (patch (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #<representation binary64>) () ())
#s(alt (*.f64 x #s(literal 9 binary64)) (patch (*.f64 x #s(literal 9 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 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))) (patch (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))) #<representation binary64>) () ())
Outputs
#s(alt (- 1 (* 1/9 (/ 1 x))) (taylor 0 y) (#s(alt (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) (patch (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) #<representation binary64>) () ())) ())
#s(alt (- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x))) (taylor 0 y) (#s(alt (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) (patch (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) #<representation binary64>) () ())) ())
#s(alt (- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x))) (taylor 0 y) (#s(alt (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) (patch (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) #<representation binary64>) () ())) ())
#s(alt (- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x))) (taylor 0 y) (#s(alt (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) (patch (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (* (sqrt (/ 1 x)) y)) (taylor 0 y) (#s(alt (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))) (patch (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (* (sqrt (/ 1 x)) y)) (taylor 0 y) (#s(alt (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))) (patch (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (* (sqrt (/ 1 x)) y)) (taylor 0 y) (#s(alt (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))) (patch (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (* (sqrt (/ 1 x)) y)) (taylor 0 y) (#s(alt (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))) (patch (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* -1/3 (* (sqrt (/ 1 x)) y)) (taylor inf y) (#s(alt (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) (patch (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) #<representation binary64>) () ())) ())
#s(alt (* y (- (/ 1 y) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/9 (* x y))))) (taylor inf y) (#s(alt (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) (patch (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) #<representation binary64>) () ())) ())
#s(alt (* y (- (/ 1 y) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/9 (* x y))))) (taylor inf y) (#s(alt (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) (patch (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) #<representation binary64>) () ())) ())
#s(alt (* y (- (/ 1 y) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/9 (* x y))))) (taylor inf y) (#s(alt (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) (patch (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (* (sqrt (/ 1 x)) y)) (taylor inf y) (#s(alt (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))) (patch (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (* (sqrt (/ 1 x)) y)) (taylor inf y) (#s(alt (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))) (patch (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (* (sqrt (/ 1 x)) y)) (taylor inf y) (#s(alt (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))) (patch (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (* (sqrt (/ 1 x)) y)) (taylor inf y) (#s(alt (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))) (patch (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* -1/3 (* (sqrt (/ 1 x)) y)) (taylor -inf y) (#s(alt (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) (patch (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (- (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* -1/3 (sqrt (/ 1 x)))))) (taylor -inf y) (#s(alt (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) (patch (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (- (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* -1/3 (sqrt (/ 1 x)))))) (taylor -inf y) (#s(alt (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) (patch (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (- (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* -1/3 (sqrt (/ 1 x)))))) (taylor -inf y) (#s(alt (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) (patch (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (* (sqrt (/ 1 x)) y)) (taylor -inf y) (#s(alt (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))) (patch (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (* (sqrt (/ 1 x)) y)) (taylor -inf y) (#s(alt (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))) (patch (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (* (sqrt (/ 1 x)) y)) (taylor -inf y) (#s(alt (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))) (patch (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (* (sqrt (/ 1 x)) y)) (taylor -inf y) (#s(alt (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))) (patch (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))) #<representation binary64>) () ())) ())
#s(alt (/ 1/9 x) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64))) (patch (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ 1/9 x) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64))) (patch (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ 1/9 x) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64))) (patch (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ 1/9 x) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64))) (patch (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ 1/9 (* 1/3 (* (sqrt x) y))) x)) (taylor 0 x) (#s(alt (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) (patch (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) #<representation binary64>) () ())) ())
#s(alt (/ (- x (+ 1/9 (* 1/3 (* (sqrt x) y)))) x) (taylor 0 x) (#s(alt (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) (patch (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) #<representation binary64>) () ())) ())
#s(alt (/ (- x (+ 1/9 (* 1/3 (* (sqrt x) y)))) x) (taylor 0 x) (#s(alt (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) (patch (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) #<representation binary64>) () ())) ())
#s(alt (/ (- x (+ 1/9 (* 1/3 (* (sqrt x) y)))) x) (taylor 0 x) (#s(alt (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) (patch (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) #<representation binary64>) () ())) ())
#s(alt (/ -1/9 x) (taylor 0 x) (#s(alt (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) (patch (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #<representation binary64>) () ())) ())
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#s(alt (* 9 x) (taylor inf x) (#s(alt (*.f64 x #s(literal 9 binary64)) (patch (*.f64 x #s(literal 9 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 9 x) (taylor inf x) (#s(alt (*.f64 x #s(literal 9 binary64)) (patch (*.f64 x #s(literal 9 binary64)) #<representation binary64>) () ())) ())
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#s(alt (* 3 (sqrt x)) (taylor inf x) (#s(alt (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (patch (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) #<representation binary64>) () ())) ())
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#s(alt (* 1/3 (* (sqrt (/ 1 x)) y)) (taylor inf x) (#s(alt (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))) (patch (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))) #<representation binary64>) () ())) ())
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#s(alt (* 9 x) (taylor -inf x) (#s(alt (*.f64 x #s(literal 9 binary64)) (patch (*.f64 x #s(literal 9 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 9 x) (taylor -inf x) (#s(alt (*.f64 x #s(literal 9 binary64)) (patch (*.f64 x #s(literal 9 binary64)) #<representation binary64>) () ())) ())
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#s(alt (* 1/3 (* (sqrt (/ 1 x)) y)) (taylor -inf x) (#s(alt (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))) (patch (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))) #<representation binary64>) () ())) ())
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#s(alt (* 1/3 (* (sqrt (/ 1 x)) y)) (taylor -inf x) (#s(alt (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))) (patch (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (* (sqrt (/ 1 x)) y)) (taylor -inf x) (#s(alt (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))) (patch (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))) #<representation binary64>) () ())) ())
Calls

6 calls:

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

simplify154.0ms (1.9%)

Memory
4.3MiB live, 83.7MiB allocated
Algorithm
egg-herbie
Rules
7 662×lower-fma.f64
7 662×lower-fma.f32
2 338×lower-*.f64
2 338×lower-*.f32
1 374×div-sub
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
055660
1129660
2304659
3778659
41980659
53976659
65206659
76399659
87529659
97918659
08008638
Stop Event
iter limit
node limit
Counts
96 → 96
Calls
Call 1
Inputs
(- 1 (* 1/9 (/ 1 x)))
(- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))
(- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))
(- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))
(* 1/3 (* (sqrt (/ 1 x)) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(* -1/3 (* (sqrt (/ 1 x)) y))
(* y (- (/ 1 y) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/9 (* x y)))))
(* y (- (/ 1 y) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/9 (* x y)))))
(* y (- (/ 1 y) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/9 (* x y)))))
(* 1/3 (* (sqrt (/ 1 x)) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(* -1/3 (* (sqrt (/ 1 x)) y))
(* -1 (* y (- (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* -1/3 (sqrt (/ 1 x))))))
(* -1 (* y (- (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* -1/3 (sqrt (/ 1 x))))))
(* -1 (* y (- (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* -1/3 (sqrt (/ 1 x))))))
(* 1/3 (* (sqrt (/ 1 x)) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(/ 1/9 x)
(/ 1/9 x)
(/ 1/9 x)
(/ 1/9 x)
(* -1 (/ (+ 1/9 (* 1/3 (* (sqrt x) y))) x))
(/ (- x (+ 1/9 (* 1/3 (* (sqrt x) y)))) x)
(/ (- x (+ 1/9 (* 1/3 (* (sqrt x) y)))) x)
(/ (- x (+ 1/9 (* 1/3 (* (sqrt x) y)))) x)
(/ -1/9 x)
(/ (- x 1/9) x)
(/ (- x 1/9) x)
(/ (- x 1/9) x)
(* 9 x)
(* 9 x)
(* 9 x)
(* 9 x)
(* 3 (sqrt x))
(* 3 (sqrt x))
(* 3 (sqrt x))
(* 3 (sqrt x))
(* 1/3 (* (sqrt (/ 1 x)) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(/ 1/9 x)
(/ 1/9 x)
(/ 1/9 x)
(/ 1/9 x)
(- 1 (* 1/3 (* (sqrt (/ 1 x)) y)))
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))
1
(- 1 (* 1/9 (/ 1 x)))
(- 1 (* 1/9 (/ 1 x)))
(- 1 (* 1/9 (/ 1 x)))
(* 9 x)
(* 9 x)
(* 9 x)
(* 9 x)
(* 3 (sqrt x))
(* 3 (sqrt x))
(* 3 (sqrt x))
(* 3 (sqrt x))
(* 1/3 (* (sqrt (/ 1 x)) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(/ 1/9 x)
(/ 1/9 x)
(/ 1/9 x)
(/ 1/9 x)
(- 1 (* 1/3 (* (sqrt (/ 1 x)) y)))
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))
1
(- 1 (* 1/9 (/ 1 x)))
(- 1 (* 1/9 (/ 1 x)))
(- 1 (* 1/9 (/ 1 x)))
(* 9 x)
(* 9 x)
(* 9 x)
(* 9 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)))
(* 1/3 (* (sqrt (/ 1 x)) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
Outputs
(- 1 (* 1/9 (/ 1 x)))
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x))
(- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))
(fma.f64 (*.f64 y #s(literal -1/3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)))
(- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))
(fma.f64 (*.f64 y #s(literal -1/3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)))
(- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))
(fma.f64 (*.f64 y #s(literal -1/3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)))
(* 1/3 (* (sqrt (/ 1 x)) y))
(*.f64 (*.f64 #s(literal 1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(* 1/3 (* (sqrt (/ 1 x)) y))
(*.f64 (*.f64 #s(literal 1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(* 1/3 (* (sqrt (/ 1 x)) y))
(*.f64 (*.f64 #s(literal 1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(* 1/3 (* (sqrt (/ 1 x)) y))
(*.f64 (*.f64 #s(literal 1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(* -1/3 (* (sqrt (/ 1 x)) y))
(*.f64 (*.f64 y #s(literal -1/3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(* y (- (/ 1 y) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/9 (* x y)))))
(fma.f64 (*.f64 y #s(literal -1/3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)))
(* y (- (/ 1 y) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/9 (* x y)))))
(fma.f64 (*.f64 y #s(literal -1/3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)))
(* y (- (/ 1 y) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/9 (* x y)))))
(fma.f64 (*.f64 y #s(literal -1/3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)))
(* 1/3 (* (sqrt (/ 1 x)) y))
(*.f64 (*.f64 #s(literal 1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(* 1/3 (* (sqrt (/ 1 x)) y))
(*.f64 (*.f64 #s(literal 1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(* 1/3 (* (sqrt (/ 1 x)) y))
(*.f64 (*.f64 #s(literal 1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(* 1/3 (* (sqrt (/ 1 x)) y))
(*.f64 (*.f64 #s(literal 1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(* -1/3 (* (sqrt (/ 1 x)) y))
(*.f64 (*.f64 y #s(literal -1/3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(* -1 (* y (- (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* -1/3 (sqrt (/ 1 x))))))
(fma.f64 (*.f64 y #s(literal -1/3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)))
(* -1 (* y (- (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* -1/3 (sqrt (/ 1 x))))))
(fma.f64 (*.f64 y #s(literal -1/3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)))
(* -1 (* y (- (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* -1/3 (sqrt (/ 1 x))))))
(fma.f64 (*.f64 y #s(literal -1/3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)))
(* 1/3 (* (sqrt (/ 1 x)) y))
(*.f64 (*.f64 #s(literal 1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(* 1/3 (* (sqrt (/ 1 x)) y))
(*.f64 (*.f64 #s(literal 1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(* 1/3 (* (sqrt (/ 1 x)) y))
(*.f64 (*.f64 #s(literal 1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(* 1/3 (* (sqrt (/ 1 x)) y))
(*.f64 (*.f64 #s(literal 1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 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 (/ (+ 1/9 (* 1/3 (* (sqrt x) y))) x))
(/.f64 (fma.f64 (*.f64 (sqrt.f64 x) y) #s(literal -1/3 binary64) #s(literal -1/9 binary64)) x)
(/ (- x (+ 1/9 (* 1/3 (* (sqrt x) y)))) x)
(/.f64 (-.f64 x (fma.f64 (*.f64 (sqrt.f64 x) y) #s(literal 1/3 binary64) #s(literal 1/9 binary64))) x)
(/ (- x (+ 1/9 (* 1/3 (* (sqrt x) y)))) x)
(/.f64 (-.f64 x (fma.f64 (*.f64 (sqrt.f64 x) y) #s(literal 1/3 binary64) #s(literal 1/9 binary64))) x)
(/ (- x (+ 1/9 (* 1/3 (* (sqrt x) y)))) x)
(/.f64 (-.f64 x (fma.f64 (*.f64 (sqrt.f64 x) y) #s(literal 1/3 binary64) #s(literal 1/9 binary64))) x)
(/ -1/9 x)
(/.f64 #s(literal -1/9 binary64) x)
(/ (- x 1/9) x)
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x))
(/ (- x 1/9) x)
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x))
(/ (- x 1/9) x)
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x))
(* 9 x)
(*.f64 #s(literal 9 binary64) x)
(* 9 x)
(*.f64 #s(literal 9 binary64) x)
(* 9 x)
(*.f64 #s(literal 9 binary64) x)
(* 9 x)
(*.f64 #s(literal 9 binary64) x)
(* 3 (sqrt x))
(*.f64 #s(literal 3 binary64) (sqrt.f64 x))
(* 3 (sqrt x))
(*.f64 #s(literal 3 binary64) (sqrt.f64 x))
(* 3 (sqrt x))
(*.f64 #s(literal 3 binary64) (sqrt.f64 x))
(* 3 (sqrt x))
(*.f64 #s(literal 3 binary64) (sqrt.f64 x))
(* 1/3 (* (sqrt (/ 1 x)) y))
(*.f64 (*.f64 #s(literal 1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(* 1/3 (* (sqrt (/ 1 x)) y))
(*.f64 (*.f64 #s(literal 1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(* 1/3 (* (sqrt (/ 1 x)) y))
(*.f64 (*.f64 #s(literal 1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(* 1/3 (* (sqrt (/ 1 x)) y))
(*.f64 (*.f64 #s(literal 1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 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 (* 1/3 (* (sqrt (/ 1 x)) y)))
(fma.f64 (*.f64 y #s(literal -1/3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))
(fma.f64 (*.f64 y #s(literal -1/3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)))
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))
(fma.f64 (*.f64 y #s(literal -1/3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)))
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))
(fma.f64 (*.f64 y #s(literal -1/3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)))
1
#s(literal 1 binary64)
(- 1 (* 1/9 (/ 1 x)))
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x))
(- 1 (* 1/9 (/ 1 x)))
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x))
(- 1 (* 1/9 (/ 1 x)))
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x))
(* 9 x)
(*.f64 #s(literal 9 binary64) x)
(* 9 x)
(*.f64 #s(literal 9 binary64) x)
(* 9 x)
(*.f64 #s(literal 9 binary64) x)
(* 9 x)
(*.f64 #s(literal 9 binary64) x)
(* 3 (sqrt x))
(*.f64 #s(literal 3 binary64) (sqrt.f64 x))
(* 3 (sqrt x))
(*.f64 #s(literal 3 binary64) (sqrt.f64 x))
(* 3 (sqrt x))
(*.f64 #s(literal 3 binary64) (sqrt.f64 x))
(* 3 (sqrt x))
(*.f64 #s(literal 3 binary64) (sqrt.f64 x))
(* 1/3 (* (sqrt (/ 1 x)) y))
(*.f64 (*.f64 #s(literal 1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(* 1/3 (* (sqrt (/ 1 x)) y))
(*.f64 (*.f64 #s(literal 1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(* 1/3 (* (sqrt (/ 1 x)) y))
(*.f64 (*.f64 #s(literal 1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(* 1/3 (* (sqrt (/ 1 x)) y))
(*.f64 (*.f64 #s(literal 1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 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 (* 1/3 (* (sqrt (/ 1 x)) y)))
(fma.f64 (*.f64 y #s(literal -1/3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))
(fma.f64 (*.f64 y #s(literal -1/3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)))
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))
(fma.f64 (*.f64 y #s(literal -1/3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)))
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))
(fma.f64 (*.f64 y #s(literal -1/3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)))
1
#s(literal 1 binary64)
(- 1 (* 1/9 (/ 1 x)))
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x))
(- 1 (* 1/9 (/ 1 x)))
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x))
(- 1 (* 1/9 (/ 1 x)))
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x))
(* 9 x)
(*.f64 #s(literal 9 binary64) x)
(* 9 x)
(*.f64 #s(literal 9 binary64) x)
(* 9 x)
(*.f64 #s(literal 9 binary64) x)
(* 9 x)
(*.f64 #s(literal 9 binary64) x)
(* -3 (* (sqrt x) (pow (sqrt -1) 2)))
(*.f64 #s(literal 3 binary64) (sqrt.f64 x))
(* -3 (* (sqrt x) (pow (sqrt -1) 2)))
(*.f64 #s(literal 3 binary64) (sqrt.f64 x))
(* -3 (* (sqrt x) (pow (sqrt -1) 2)))
(*.f64 #s(literal 3 binary64) (sqrt.f64 x))
(* -3 (* (sqrt x) (pow (sqrt -1) 2)))
(*.f64 #s(literal 3 binary64) (sqrt.f64 x))
(* 1/3 (* (sqrt (/ 1 x)) y))
(*.f64 (*.f64 #s(literal 1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(* 1/3 (* (sqrt (/ 1 x)) y))
(*.f64 (*.f64 #s(literal 1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(* 1/3 (* (sqrt (/ 1 x)) y))
(*.f64 (*.f64 #s(literal 1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(* 1/3 (* (sqrt (/ 1 x)) y))
(*.f64 (*.f64 #s(literal 1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))

rewrite248.0ms (3%)

Memory
-8.1MiB live, 188.4MiB allocated
Rules
8 268×lower-fma.f64
8 268×lower-fma.f32
5 066×lower-*.f32
5 062×lower-*.f64
4 670×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01239
01939
17433
278933
0836632
Stop Event
iter limit
node limit
iter limit
Counts
6 → 428
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64))))
(*.f64 x #s(literal 9 binary64))
(*.f64 #s(literal 3 binary64) (sqrt.f64 x))
(/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))
Outputs
(*.f64 (*.f64 #s(literal 1 binary64) (pow.f64 (*.f64 #s(literal 9 binary64) x) #s(literal -1/2 binary64))) (pow.f64 (*.f64 #s(literal 9 binary64) x) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (*.f64 #s(literal 9 binary64) x) #s(literal -1/2 binary64)) (*.f64 (pow.f64 (*.f64 #s(literal 9 binary64) x) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (*.f64 #s(literal 9 binary64) x) #s(literal -1/2 binary64)) (pow.f64 (*.f64 #s(literal 9 binary64) x) #s(literal -1/2 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1/9 binary64))
(*.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal -1 binary64)))
(*.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1/9 binary64))
(*.f64 (/.f64 #s(literal -1/9 binary64) x) #s(literal -1 binary64))
(*.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)))
(*.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))
(pow.f64 (pow.f64 (*.f64 #s(literal 9 binary64) x) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal -9 binary64) x) #s(literal 2 binary64)) #s(literal -1/2 binary64))
(pow.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) #s(literal 2 binary64))
(pow.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) #s(literal -2 binary64))
(pow.f64 (*.f64 #s(literal 9 binary64) x) #s(literal -1 binary64))
(/.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) (sqrt.f64 x))
(/.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) #s(literal 3 binary64))
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)) #s(literal -9 binary64))
(/.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) #s(literal 1/3 binary64)) (sqrt.f64 x))
(/.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (pow.f64 x #s(literal -1/2 binary64))) #s(literal 3 binary64))
(/.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) #s(literal -1 binary64)) (*.f64 #s(literal -3 binary64) (sqrt.f64 x)))
(/.f64 #s(literal -1/9 binary64) (neg.f64 x))
(/.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) (*.f64 #s(literal -3 binary64) (sqrt.f64 x)))
(/.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -9 binary64))
(/.f64 #s(literal 1/9 binary64) x)
(/.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 9 binary64))
(/.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (*.f64 (sqrt.f64 x) #s(literal 3 binary64)))
(/.f64 #s(literal -1 binary64) (*.f64 #s(literal -9 binary64) x))
(/.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (*.f64 #s(literal 9 binary64) x))
(neg.f64 (/.f64 #s(literal -1/9 binary64) x))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal -1/9 binary64) x))
(exp.f64 (log.f64 (/.f64 #s(literal 1/9 binary64) x)))
(*.f64 (/.f64 (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)) #s(literal 2 binary64)) (*.f64 (*.f64 (/.f64 #s(literal 1/9 binary64) x) y) y)) (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)) #s(literal 3 binary64)) (pow.f64 (/.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) #s(literal 3 binary64)))) (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)) #s(literal 2 binary64)) (*.f64 (/.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) (-.f64 (/.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x))))))
(*.f64 (/.f64 (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)) #s(literal 2 binary64)) (*.f64 (*.f64 (/.f64 #s(literal 1/9 binary64) x) y) y)) (fma.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 2 binary64))) (sqrt.f64 x) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)) y) #s(literal 1/3 binary64)))) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)) (sqrt.f64 x)))
(*.f64 (/.f64 (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)) #s(literal 2 binary64)) (*.f64 (*.f64 (/.f64 #s(literal 1/9 binary64) x) y) y)) (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 2 binary64))) #s(literal -3 binary64)) (sqrt.f64 x) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)) (neg.f64 y)))) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)) #s(literal -3 binary64)) (sqrt.f64 x)))
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(*.f64 #s(literal 1/3 binary64) (pow.f64 (/.f64 (sqrt.f64 x) y) #s(literal -1 binary64)))
(*.f64 #s(literal 1/3 binary64) (/.f64 y (sqrt.f64 x)))
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (*.f64 #s(literal 1/3 binary64) y))
(*.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) (neg.f64 y))
(*.f64 (*.f64 y #s(literal -1/3 binary64)) (/.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 x))))
(*.f64 (*.f64 #s(literal 1/3 binary64) y) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (*.f64 #s(literal 1/3 binary64) y) (pow.f64 x #s(literal -1/2 binary64)))
(*.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (pow.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) y)
(*.f64 (neg.f64 y) (*.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) #s(literal 1 binary64)))
(*.f64 (neg.f64 y) (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)))
(*.f64 #s(literal -1 binary64) (/.f64 y (*.f64 #s(literal -3 binary64) (sqrt.f64 x))))
(*.f64 (/.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) #s(literal 1 binary64))
(*.f64 y (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)))
(*.f64 #s(literal 1 binary64) (/.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64))))
(pow.f64 (/.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) y) #s(literal -1 binary64))
(/.f64 (*.f64 (/.f64 y (sqrt.f64 x)) #s(literal 1 binary64)) #s(literal 3 binary64))
(/.f64 (*.f64 (*.f64 y #s(literal -1/3 binary64)) #s(literal 1 binary64)) (neg.f64 (sqrt.f64 x)))
(/.f64 (*.f64 #s(literal 1 binary64) (/.f64 y (sqrt.f64 x))) #s(literal 3 binary64))
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 y #s(literal -1/3 binary64))) (neg.f64 (sqrt.f64 x)))
(/.f64 (*.f64 (neg.f64 y) (pow.f64 x #s(literal -1/2 binary64))) #s(literal -3 binary64))
(/.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) y) #s(literal 3 binary64))
(/.f64 (*.f64 y #s(literal -1 binary64)) (*.f64 #s(literal -3 binary64) (sqrt.f64 x)))
(/.f64 (/.f64 (neg.f64 y) #s(literal -1 binary64)) (*.f64 (sqrt.f64 x) #s(literal 3 binary64)))
(/.f64 (/.f64 (*.f64 #s(literal 1/3 binary64) y) (pow.f64 x #s(literal 1/4 binary64))) (pow.f64 x #s(literal 1/4 binary64)))
(/.f64 (/.f64 (neg.f64 y) (sqrt.f64 x)) #s(literal -3 binary64))
(/.f64 (neg.f64 (/.f64 y (sqrt.f64 x))) #s(literal -3 binary64))
(/.f64 (/.f64 y (sqrt.f64 x)) #s(literal 3 binary64))
(/.f64 #s(literal 1/3 binary64) (/.f64 (sqrt.f64 x) y))
(/.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 #s(literal 3 binary64) y))
(/.f64 (*.f64 y #s(literal -1/3 binary64)) (neg.f64 (sqrt.f64 x)))
(/.f64 (*.f64 #s(literal 1/3 binary64) y) (neg.f64 (neg.f64 (sqrt.f64 x))))
(/.f64 (*.f64 #s(literal 1/3 binary64) y) (sqrt.f64 x))
(/.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (pow.f64 y #s(literal -1 binary64)))
(/.f64 (neg.f64 y) (*.f64 #s(literal -3 binary64) (sqrt.f64 x)))
(/.f64 #s(literal -1 binary64) (/.f64 (*.f64 #s(literal -3 binary64) (sqrt.f64 x)) y))
(/.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) (/.f64 y (sqrt.f64 x))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) y))
(neg.f64 (*.f64 (/.f64 y (*.f64 #s(literal -3 binary64) (sqrt.f64 x))) #s(literal 1 binary64)))
(neg.f64 (/.f64 y (*.f64 #s(literal -3 binary64) (sqrt.f64 x))))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 #s(literal -3 binary64) (sqrt.f64 x))) (/.f64 y (*.f64 #s(literal -3 binary64) (sqrt.f64 x))))
(-.f64 #s(literal 0 binary64) (/.f64 y (*.f64 #s(literal -3 binary64) (sqrt.f64 x))))
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) y)) #s(literal -1 binary64)))

eval135.0ms (1.6%)

Memory
-12.2MiB live, 106.1MiB allocated
Compiler

Compiled 13 919 to 1 303 computations (90.6% saved)

prune149.0ms (1.8%)

Memory
33.0MiB live, 197.6MiB allocated
Pruning

19 alts after pruning (18 fresh and 1 done)

PrunedKeptTotal
New50618524
Fresh000
Picked011
Done000
Total50619525
Accuracy
100.0%
Counts
525 → 19
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.5%
(fma.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) (*.f64 #s(literal 1/3 binary64) y) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)))
99.6%
(fma.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/9 binary64) (-.f64 #s(literal 1 binary64) (/.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64)))))
99.6%
(fma.f64 (*.f64 y #s(literal -1/3 binary64)) (pow.f64 x #s(literal -1/2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)))
99.6%
(fma.f64 #s(literal -1/3 binary64) (/.f64 y (sqrt.f64 x)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)))
99.5%
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (*.f64 (sqrt.f64 x) #s(literal 3 binary64)))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
99.7%
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -9 binary64))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
99.5%
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) #s(literal 3 binary64)) (sqrt.f64 x)))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
99.6%
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 3 binary64) x) #s(literal 3 binary64)))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
99.7%
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 #s(literal 3 binary64) y)))
99.7%
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) (/.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) y) #s(literal 3 binary64)))
99.6%
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
99.6%
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) y)))
69.5%
(-.f64 #s(approx (- 1 (/ 1 (* x 9))) (/.f64 #s(literal -1/9 binary64) x)) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
68.3%
(-.f64 #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
94.1%
(*.f64 (fma.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) y (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x))) (/.f64 (fma.f64 #s(literal -1/3 binary64) (/.f64 y (sqrt.f64 x)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x))) (fma.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) y (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)))))
59.6%
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 (fma.f64 (*.f64 (sqrt.f64 x) y) #s(literal -1/3 binary64) #s(literal -1/9 binary64)) x))
89.6%
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 (-.f64 x (fma.f64 (*.f64 (sqrt.f64 x) y) #s(literal 1/3 binary64) #s(literal 1/9 binary64))) x))
61.6%
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)))
39.9%
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (*.f64 (*.f64 y #s(literal -1/3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
Compiler

Compiled 524 to 420 computations (19.8% saved)

simplify124.0ms (1.5%)

Memory
-0.5MiB live, 155.4MiB allocated
Algorithm
egg-herbie
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
cost-diff320
(*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) #s(literal 3 binary64))
cost-diff320
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) #s(literal 3 binary64)) (sqrt.f64 x)))
cost-diff640
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) #s(literal 3 binary64)) (sqrt.f64 x)))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
cost-diff1600
(*.f64 (*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) #s(literal 3 binary64)) (sqrt.f64 x))
cost-diff0
(*.f64 #s(literal 1/3 binary64) y)
cost-diff0
(sqrt.f64 x)
cost-diff0
(/.f64 #s(literal -1 binary64) (sqrt.f64 x))
cost-diff832
(fma.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) (*.f64 #s(literal 1/3 binary64) y) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)))
cost-diff0
(fma.f64 (*.f64 (sqrt.f64 x) y) #s(literal 1/3 binary64) #s(literal 1/9 binary64))
cost-diff0
(-.f64 x (fma.f64 (*.f64 (sqrt.f64 x) y) #s(literal 1/3 binary64) #s(literal 1/9 binary64)))
cost-diff0
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 (-.f64 x (fma.f64 (*.f64 (sqrt.f64 x) y) #s(literal 1/3 binary64) #s(literal 1/9 binary64))) x))
cost-diff128
(/.f64 (-.f64 x (fma.f64 (*.f64 (sqrt.f64 x) y) #s(literal 1/3 binary64) #s(literal 1/9 binary64))) x)
cost-diff0
(/.f64 #s(literal 1/9 binary64) x)
cost-diff0
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x))
cost-diff0
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)))
cost-diff0
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64))))
cost-diff256
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) (/.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) y) #s(literal 3 binary64)))
cost-diff320
(/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))
cost-diff384
(/.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) y) #s(literal 3 binary64))
Rules
6 638×lower-fma.f32
6 634×lower-fma.f64
3 062×lower-*.f32
3 046×lower-*.f64
1 230×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
043260
070237
1128215
2295215
3627215
41168213
52385213
64433213
76547213
08364205
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) (/.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) y) #s(literal 3 binary64)))
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64))))
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))
(*.f64 x #s(literal 9 binary64))
x
#s(literal 9 binary64)
(/.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) y) #s(literal 3 binary64))
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) y)
(pow.f64 x #s(literal -1/2 binary64))
#s(literal -1/2 binary64)
y
#s(literal 3 binary64)
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)))
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x))
#s(literal 1 binary64)
(/.f64 #s(literal 1/9 binary64) x)
#s(literal 1/9 binary64)
x
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 (-.f64 x (fma.f64 (*.f64 (sqrt.f64 x) y) #s(literal 1/3 binary64) #s(literal 1/9 binary64))) x))
(/.f64 (-.f64 x (fma.f64 (*.f64 (sqrt.f64 x) y) #s(literal 1/3 binary64) #s(literal 1/9 binary64))) x)
(-.f64 x (fma.f64 (*.f64 (sqrt.f64 x) y) #s(literal 1/3 binary64) #s(literal 1/9 binary64)))
x
(fma.f64 (*.f64 (sqrt.f64 x) y) #s(literal 1/3 binary64) #s(literal 1/9 binary64))
(*.f64 (sqrt.f64 x) y)
(sqrt.f64 x)
y
#s(literal 1/3 binary64)
#s(literal 1/9 binary64)
(fma.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) (*.f64 #s(literal 1/3 binary64) y) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)))
(/.f64 #s(literal -1 binary64) (sqrt.f64 x))
#s(literal -1 binary64)
(sqrt.f64 x)
x
(*.f64 #s(literal 1/3 binary64) y)
#s(literal 1/3 binary64)
y
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x))
#s(literal 1 binary64)
(/.f64 #s(literal 1/9 binary64) x)
#s(literal 1/9 binary64)
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) #s(literal 3 binary64)) (sqrt.f64 x)))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) #s(literal 3 binary64)) (sqrt.f64 x))))
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) #s(literal 3 binary64)) (sqrt.f64 x)))
(*.f64 (*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) #s(literal 3 binary64)) (sqrt.f64 x))
(*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) #s(literal 3 binary64))
(*.f64 (sqrt.f64 x) #s(literal 3 binary64))
(sqrt.f64 x)
x
#s(literal 3 binary64)
(/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))
y
(*.f64 #s(literal 3 binary64) (sqrt.f64 x))
Outputs
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) (/.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) y) #s(literal 3 binary64)))
(fma.f64 (fma.f64 y (pow.f64 x #s(literal -1/2 binary64)) (/.f64 #s(literal 1/3 binary64) x)) #s(literal -1/3 binary64) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64))))
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x))
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))
(/.f64 #s(literal 1/9 binary64) x)
(*.f64 x #s(literal 9 binary64))
(*.f64 #s(literal 9 binary64) x)
x
#s(literal 9 binary64)
(/.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) y) #s(literal 3 binary64))
(*.f64 #s(literal 1/3 binary64) (*.f64 y (pow.f64 x #s(literal -1/2 binary64))))
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) y)
(*.f64 y (pow.f64 x #s(literal -1/2 binary64)))
(pow.f64 x #s(literal -1/2 binary64))
#s(literal -1/2 binary64)
y
#s(literal 3 binary64)
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)))
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x))
#s(literal 1 binary64)
(/.f64 #s(literal 1/9 binary64) x)
#s(literal 1/9 binary64)
x
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 (-.f64 x (fma.f64 (*.f64 (sqrt.f64 x) y) #s(literal 1/3 binary64) #s(literal 1/9 binary64))) x))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (fma.f64 (fma.f64 (sqrt.f64 x) y #s(literal 1/3 binary64)) (/.f64 #s(literal -1/3 binary64) x) #s(literal 1 binary64)))
(/.f64 (-.f64 x (fma.f64 (*.f64 (sqrt.f64 x) y) #s(literal 1/3 binary64) #s(literal 1/9 binary64))) x)
(fma.f64 (fma.f64 (sqrt.f64 x) y #s(literal 1/3 binary64)) (/.f64 #s(literal -1/3 binary64) x) #s(literal 1 binary64))
(-.f64 x (fma.f64 (*.f64 (sqrt.f64 x) y) #s(literal 1/3 binary64) #s(literal 1/9 binary64)))
(-.f64 x (fma.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal 1/9 binary64)))
x
(fma.f64 (*.f64 (sqrt.f64 x) y) #s(literal 1/3 binary64) #s(literal 1/9 binary64))
(fma.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal 1/9 binary64))
(*.f64 (sqrt.f64 x) y)
(sqrt.f64 x)
y
#s(literal 1/3 binary64)
#s(literal 1/9 binary64)
(fma.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) (*.f64 #s(literal 1/3 binary64) y) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)))
(fma.f64 (fma.f64 (sqrt.f64 x) y #s(literal 1/3 binary64)) (/.f64 #s(literal -1/3 binary64) x) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (sqrt.f64 x))
#s(literal -1 binary64)
(sqrt.f64 x)
x
(*.f64 #s(literal 1/3 binary64) y)
#s(literal 1/3 binary64)
y
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x))
#s(literal 1 binary64)
(/.f64 #s(literal 1/9 binary64) x)
#s(literal 1/9 binary64)
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) #s(literal 3 binary64)) (sqrt.f64 x)))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
(fma.f64 (fma.f64 (sqrt.f64 x) y #s(literal 1/3 binary64)) (/.f64 #s(literal -1/3 binary64) x) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) #s(literal 3 binary64)) (sqrt.f64 x))))
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x))
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) #s(literal 3 binary64)) (sqrt.f64 x)))
(/.f64 #s(literal 1/9 binary64) x)
(*.f64 (*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) #s(literal 3 binary64)) (sqrt.f64 x))
(*.f64 #s(literal 9 binary64) x)
(*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) #s(literal 3 binary64))
(*.f64 (sqrt.f64 x) #s(literal 9 binary64))
(*.f64 (sqrt.f64 x) #s(literal 3 binary64))
(sqrt.f64 x)
x
#s(literal 3 binary64)
(/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))
(/.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64)))
y
(*.f64 #s(literal 3 binary64) (sqrt.f64 x))
(*.f64 (sqrt.f64 x) #s(literal 3 binary64))

localize172.0ms (2.1%)

Memory
10.7MiB live, 243.5MiB allocated
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
accuracy0.28125
(*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) #s(literal 3 binary64))
accuracy0.30078125
(*.f64 (sqrt.f64 x) #s(literal 3 binary64))
accuracy0.30078125
(*.f64 #s(literal 3 binary64) (sqrt.f64 x))
accuracy0.34765625
(*.f64 (*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) #s(literal 3 binary64)) (sqrt.f64 x))
accuracy0.109375
(fma.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) (*.f64 #s(literal 1/3 binary64) y) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)))
accuracy0.3125
(/.f64 #s(literal -1 binary64) (sqrt.f64 x))
accuracy0.3203125
(*.f64 #s(literal 1/3 binary64) y)
accuracy0.34765625
(/.f64 #s(literal 1/9 binary64) x)
accuracy0.0078125
(-.f64 x (fma.f64 (*.f64 (sqrt.f64 x) y) #s(literal 1/3 binary64) #s(literal 1/9 binary64)))
accuracy0.15234375
(fma.f64 (*.f64 (sqrt.f64 x) y) #s(literal 1/3 binary64) #s(literal 1/9 binary64))
accuracy0.25390625
(*.f64 (sqrt.f64 x) y)
accuracy5.8684673852023925
(/.f64 (-.f64 x (fma.f64 (*.f64 (sqrt.f64 x) y) #s(literal 1/3 binary64) #s(literal 1/9 binary64))) x)
accuracy0
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x))
accuracy0.34765625
(/.f64 #s(literal 1/9 binary64) x)
accuracy22.35476619648281
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)))
accuracy0.0078125
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) (/.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) y) #s(literal 3 binary64)))
accuracy0.19921875
(/.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) y) #s(literal 3 binary64))
accuracy0.19921875
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) y)
accuracy0.26171875
(/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))
Samples
120.0ms237×0valid
24.0ms19×5exit
Compiler

Compiled 248 to 39 computations (84.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 89.0ms
ival-mult: 40.0ms (44.7% of total)
ival-div: 13.0ms (14.5% of total)
ival-sub: 10.0ms (11.2% of total)
const: 7.0ms (7.8% of total)
adjust: 6.0ms (6.7% of total)
ival-pow: 6.0ms (6.7% of total)
ival-sqrt: 3.0ms (3.4% of total)
ival-add: 3.0ms (3.4% of total)
exact: 1.0ms (1.1% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series48.0ms (0.6%)

Memory
-17.4MiB live, 61.3MiB allocated
Counts
23 → 408
Calls
Call 1
Inputs
#s(alt (/.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) y) #s(literal 3 binary64)) (patch (/.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) y) #s(literal 3 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64))) (patch (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64))) #<representation binary64>) () ())
#s(alt (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) (/.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) y) #s(literal 3 binary64))) (patch (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) (/.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) y) #s(literal 3 binary64))) #<representation binary64>) () ())
#s(alt (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) (patch (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #<representation binary64>) () ())
#s(alt #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x))) (patch #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x))) #<representation binary64>) () ())
#s(alt (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)) (patch (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1/9 binary64) x) (patch (/.f64 #s(literal 1/9 binary64) x) #<representation binary64>) () ())
#s(alt (/.f64 (-.f64 x (fma.f64 (*.f64 (sqrt.f64 x) y) #s(literal 1/3 binary64) #s(literal 1/9 binary64))) x) (patch (/.f64 (-.f64 x (fma.f64 (*.f64 (sqrt.f64 x) y) #s(literal 1/3 binary64) #s(literal 1/9 binary64))) x) #<representation binary64>) () ())
#s(alt #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 (-.f64 x (fma.f64 (*.f64 (sqrt.f64 x) y) #s(literal 1/3 binary64) #s(literal 1/9 binary64))) x)) (patch #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 (-.f64 x (fma.f64 (*.f64 (sqrt.f64 x) y) #s(literal 1/3 binary64) #s(literal 1/9 binary64))) x)) #<representation binary64>) () ())
#s(alt (-.f64 x (fma.f64 (*.f64 (sqrt.f64 x) y) #s(literal 1/3 binary64) #s(literal 1/9 binary64))) (patch (-.f64 x (fma.f64 (*.f64 (sqrt.f64 x) y) #s(literal 1/3 binary64) #s(literal 1/9 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 (*.f64 (sqrt.f64 x) y) #s(literal 1/3 binary64) #s(literal 1/9 binary64)) (patch (fma.f64 (*.f64 (sqrt.f64 x) y) #s(literal 1/3 binary64) #s(literal 1/9 binary64)) #<representation binary64>) () ())
#s(alt (fma.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) (*.f64 #s(literal 1/3 binary64) y) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x))) (patch (fma.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) (*.f64 #s(literal 1/3 binary64) y) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) (patch (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) #<representation binary64>) () ())
#s(alt (sqrt.f64 x) (patch (sqrt.f64 x) #<representation binary64>) () ())
#s(alt (*.f64 #s(literal 1/3 binary64) y) (patch (*.f64 #s(literal 1/3 binary64) y) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) #s(literal 3 binary64)) (sqrt.f64 x)) (patch (*.f64 (*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) #s(literal 3 binary64)) (sqrt.f64 x)) #<representation binary64>) () ())
#s(alt (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) #s(literal 3 binary64)) (sqrt.f64 x)))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) (patch (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) #s(literal 3 binary64)) (sqrt.f64 x)))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) #s(literal 3 binary64)) (sqrt.f64 x))) (patch (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) #s(literal 3 binary64)) (sqrt.f64 x))) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) #s(literal 3 binary64)) (patch (*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) #s(literal 3 binary64)) #<representation binary64>) () ())
#s(alt (*.f64 (pow.f64 x #s(literal -1/2 binary64)) y) (patch (*.f64 (pow.f64 x #s(literal -1/2 binary64)) y) #<representation binary64>) () ())
#s(alt (*.f64 (sqrt.f64 x) y) (patch (*.f64 (sqrt.f64 x) y) #<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 (sqrt.f64 x) #s(literal 3 binary64)) (patch (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) #<representation binary64>) () ())
Outputs
#s(alt (* 1/3 (* (sqrt (/ 1 x)) y)) (taylor 0 y) (#s(alt (/.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) y) #s(literal 3 binary64)) (patch (/.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) y) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (* (sqrt (/ 1 x)) y)) (taylor 0 y) (#s(alt (/.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) y) #s(literal 3 binary64)) (patch (/.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) y) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (* (sqrt (/ 1 x)) y)) (taylor 0 y) (#s(alt (/.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) y) #s(literal 3 binary64)) (patch (/.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) y) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (* (sqrt (/ 1 x)) y)) (taylor 0 y) (#s(alt (/.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) y) #s(literal 3 binary64)) (patch (/.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) y) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (- 1 (* 1/9 (/ 1 x))) (taylor 0 y) (#s(alt (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) (/.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) y) #s(literal 3 binary64))) (patch (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) (/.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) y) #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x))) (taylor 0 y) (#s(alt (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) (/.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) y) #s(literal 3 binary64))) (patch (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) (/.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) y) #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x))) (taylor 0 y) (#s(alt (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) (/.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) y) #s(literal 3 binary64))) (patch (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) (/.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) y) #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x))) (taylor 0 y) (#s(alt (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) (/.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) y) #s(literal 3 binary64))) (patch (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) (/.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) y) #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (- 1 (* 1/9 (/ 1 x))) (taylor 0 y) (#s(alt #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x))) (patch #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x))) #<representation binary64>) () ())) ())
#s(alt (- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x))) (taylor 0 y) (#s(alt #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x))) (patch #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x))) #<representation binary64>) () ())) ())
#s(alt (- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x))) (taylor 0 y) (#s(alt #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x))) (patch #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x))) #<representation binary64>) () ())) ())
#s(alt (- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x))) (taylor 0 y) (#s(alt #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x))) (patch #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x))) #<representation binary64>) () ())) ())
#s(alt (/ (- x 1/9) x) (taylor 0 y) (#s(alt (/.f64 (-.f64 x (fma.f64 (*.f64 (sqrt.f64 x) y) #s(literal 1/3 binary64) #s(literal 1/9 binary64))) x) (patch (/.f64 (-.f64 x (fma.f64 (*.f64 (sqrt.f64 x) y) #s(literal 1/3 binary64) #s(literal 1/9 binary64))) x) #<representation binary64>) () ())) ())
#s(alt (- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x))) (taylor 0 y) (#s(alt (/.f64 (-.f64 x (fma.f64 (*.f64 (sqrt.f64 x) y) #s(literal 1/3 binary64) #s(literal 1/9 binary64))) x) (patch (/.f64 (-.f64 x (fma.f64 (*.f64 (sqrt.f64 x) y) #s(literal 1/3 binary64) #s(literal 1/9 binary64))) x) #<representation binary64>) () ())) ())
#s(alt (- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x))) (taylor 0 y) (#s(alt (/.f64 (-.f64 x (fma.f64 (*.f64 (sqrt.f64 x) y) #s(literal 1/3 binary64) #s(literal 1/9 binary64))) x) (patch (/.f64 (-.f64 x (fma.f64 (*.f64 (sqrt.f64 x) y) #s(literal 1/3 binary64) #s(literal 1/9 binary64))) x) #<representation binary64>) () ())) ())
#s(alt (- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x))) (taylor 0 y) (#s(alt (/.f64 (-.f64 x (fma.f64 (*.f64 (sqrt.f64 x) y) #s(literal 1/3 binary64) #s(literal 1/9 binary64))) x) (patch (/.f64 (-.f64 x (fma.f64 (*.f64 (sqrt.f64 x) y) #s(literal 1/3 binary64) #s(literal 1/9 binary64))) x) #<representation binary64>) () ())) ())
#s(alt (- 1 (* 1/9 (/ 1 x))) (taylor 0 y) (#s(alt #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 (-.f64 x (fma.f64 (*.f64 (sqrt.f64 x) y) #s(literal 1/3 binary64) #s(literal 1/9 binary64))) x)) (patch #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 (-.f64 x (fma.f64 (*.f64 (sqrt.f64 x) y) #s(literal 1/3 binary64) #s(literal 1/9 binary64))) x)) #<representation binary64>) () ())) ())
#s(alt (- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x))) (taylor 0 y) (#s(alt #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 (-.f64 x (fma.f64 (*.f64 (sqrt.f64 x) y) #s(literal 1/3 binary64) #s(literal 1/9 binary64))) x)) (patch #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 (-.f64 x (fma.f64 (*.f64 (sqrt.f64 x) y) #s(literal 1/3 binary64) #s(literal 1/9 binary64))) x)) #<representation binary64>) () ())) ())
#s(alt (- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x))) (taylor 0 y) (#s(alt #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 (-.f64 x (fma.f64 (*.f64 (sqrt.f64 x) y) #s(literal 1/3 binary64) #s(literal 1/9 binary64))) x)) (patch #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 (-.f64 x (fma.f64 (*.f64 (sqrt.f64 x) y) #s(literal 1/3 binary64) #s(literal 1/9 binary64))) x)) #<representation binary64>) () ())) ())
#s(alt (- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x))) (taylor 0 y) (#s(alt #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 (-.f64 x (fma.f64 (*.f64 (sqrt.f64 x) y) #s(literal 1/3 binary64) #s(literal 1/9 binary64))) x)) (patch #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 (-.f64 x (fma.f64 (*.f64 (sqrt.f64 x) y) #s(literal 1/3 binary64) #s(literal 1/9 binary64))) x)) #<representation binary64>) () ())) ())
#s(alt (- x 1/9) (taylor 0 y) (#s(alt (-.f64 x (fma.f64 (*.f64 (sqrt.f64 x) y) #s(literal 1/3 binary64) #s(literal 1/9 binary64))) (patch (-.f64 x (fma.f64 (*.f64 (sqrt.f64 x) y) #s(literal 1/3 binary64) #s(literal 1/9 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (+ x (* -1/3 (* (sqrt x) y))) 1/9) (taylor 0 y) (#s(alt (-.f64 x (fma.f64 (*.f64 (sqrt.f64 x) y) #s(literal 1/3 binary64) #s(literal 1/9 binary64))) (patch (-.f64 x (fma.f64 (*.f64 (sqrt.f64 x) y) #s(literal 1/3 binary64) #s(literal 1/9 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (+ x (* -1/3 (* (sqrt x) y))) 1/9) (taylor 0 y) (#s(alt (-.f64 x (fma.f64 (*.f64 (sqrt.f64 x) y) #s(literal 1/3 binary64) #s(literal 1/9 binary64))) (patch (-.f64 x (fma.f64 (*.f64 (sqrt.f64 x) y) #s(literal 1/3 binary64) #s(literal 1/9 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (+ x (* -1/3 (* (sqrt x) y))) 1/9) (taylor 0 y) (#s(alt (-.f64 x (fma.f64 (*.f64 (sqrt.f64 x) y) #s(literal 1/3 binary64) #s(literal 1/9 binary64))) (patch (-.f64 x (fma.f64 (*.f64 (sqrt.f64 x) y) #s(literal 1/3 binary64) #s(literal 1/9 binary64))) #<representation binary64>) () ())) ())
#s(alt 1/9 (taylor 0 y) (#s(alt (fma.f64 (*.f64 (sqrt.f64 x) y) #s(literal 1/3 binary64) #s(literal 1/9 binary64)) (patch (fma.f64 (*.f64 (sqrt.f64 x) y) #s(literal 1/3 binary64) #s(literal 1/9 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1/9 (* 1/3 (* (sqrt x) y))) (taylor 0 y) (#s(alt (fma.f64 (*.f64 (sqrt.f64 x) y) #s(literal 1/3 binary64) #s(literal 1/9 binary64)) (patch (fma.f64 (*.f64 (sqrt.f64 x) y) #s(literal 1/3 binary64) #s(literal 1/9 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1/9 (* 1/3 (* (sqrt x) y))) (taylor 0 y) (#s(alt (fma.f64 (*.f64 (sqrt.f64 x) y) #s(literal 1/3 binary64) #s(literal 1/9 binary64)) (patch (fma.f64 (*.f64 (sqrt.f64 x) y) #s(literal 1/3 binary64) #s(literal 1/9 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1/9 (* 1/3 (* (sqrt x) y))) (taylor 0 y) (#s(alt (fma.f64 (*.f64 (sqrt.f64 x) y) #s(literal 1/3 binary64) #s(literal 1/9 binary64)) (patch (fma.f64 (*.f64 (sqrt.f64 x) y) #s(literal 1/3 binary64) #s(literal 1/9 binary64)) #<representation binary64>) () ())) ())
#s(alt (- 1 (* 1/9 (/ 1 x))) (taylor 0 y) (#s(alt (fma.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) (*.f64 #s(literal 1/3 binary64) y) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x))) (patch (fma.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) (*.f64 #s(literal 1/3 binary64) y) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x))) #<representation binary64>) () ())) ())
#s(alt (- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x))) (taylor 0 y) (#s(alt (fma.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) (*.f64 #s(literal 1/3 binary64) y) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x))) (patch (fma.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) (*.f64 #s(literal 1/3 binary64) y) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x))) #<representation binary64>) () ())) ())
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#s(alt (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))) (taylor -inf x) (#s(alt (*.f64 (pow.f64 x #s(literal -1/2 binary64)) y) (patch (*.f64 (pow.f64 x #s(literal -1/2 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))) (taylor -inf x) (#s(alt (*.f64 (pow.f64 x #s(literal -1/2 binary64)) y) (patch (*.f64 (pow.f64 x #s(literal -1/2 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))) (taylor -inf x) (#s(alt (*.f64 (pow.f64 x #s(literal -1/2 binary64)) y) (patch (*.f64 (pow.f64 x #s(literal -1/2 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))) (taylor -inf x) (#s(alt (*.f64 (pow.f64 x #s(literal -1/2 binary64)) y) (patch (*.f64 (pow.f64 x #s(literal -1/2 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (sqrt x) (* y (pow (sqrt -1) 2)))) (taylor -inf x) (#s(alt (*.f64 (sqrt.f64 x) y) (patch (*.f64 (sqrt.f64 x) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (sqrt x) (* y (pow (sqrt -1) 2)))) (taylor -inf x) (#s(alt (*.f64 (sqrt.f64 x) y) (patch (*.f64 (sqrt.f64 x) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (sqrt x) (* y (pow (sqrt -1) 2)))) (taylor -inf x) (#s(alt (*.f64 (sqrt.f64 x) y) (patch (*.f64 (sqrt.f64 x) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (sqrt x) (* y (pow (sqrt -1) 2)))) (taylor -inf x) (#s(alt (*.f64 (sqrt.f64 x) y) (patch (*.f64 (sqrt.f64 x) y) #<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 (* -3 (* (sqrt x) (pow (sqrt -1) 2))) (taylor -inf x) (#s(alt (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) (patch (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -3 (* (sqrt x) (pow (sqrt -1) 2))) (taylor -inf x) (#s(alt (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) (patch (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -3 (* (sqrt x) (pow (sqrt -1) 2))) (taylor -inf x) (#s(alt (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) (patch (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -3 (* (sqrt x) (pow (sqrt -1) 2))) (taylor -inf x) (#s(alt (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) (patch (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
Calls

6 calls:

TimeVariablePointExpression
9.0ms
y
@0
((/ (* (pow x -1/2) y) 3) (/ 1 (* x 9)) (- (- 1 (/ 1 (* x 9))) (/ (* (pow x -1/2) y) 3)) (- 1 (/ 1 (* x 9))) (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (- 1 (/ 1/9 x)) (/ 1/9 x) (/ (- x (+ (* (* (sqrt x) y) 1/3) 1/9)) x) (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (- x (+ (* (* (sqrt x) y) 1/3) 1/9)) (+ (* (* (sqrt x) y) 1/3) 1/9) (+ (* (/ -1 (sqrt x)) (* 1/3 y)) (- 1 (/ 1/9 x))) (/ -1 (sqrt x)) (sqrt x) (* 1/3 y) (* (* (* (sqrt x) 3) 3) (sqrt x)) (- (- 1 (/ 1 (* (* (* (sqrt x) 3) 3) (sqrt x)))) (/ y (* 3 (sqrt x)))) (/ 1 (* (* (* (sqrt x) 3) 3) (sqrt x))) (* (* (sqrt x) 3) 3) (* (pow x -1/2) y) (* (sqrt x) y) (* 3 (sqrt x)) (* (sqrt x) 3))
8.0ms
x
@-inf
((/ (* (pow x -1/2) y) 3) (/ 1 (* x 9)) (- (- 1 (/ 1 (* x 9))) (/ (* (pow x -1/2) y) 3)) (- 1 (/ 1 (* x 9))) (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (- 1 (/ 1/9 x)) (/ 1/9 x) (/ (- x (+ (* (* (sqrt x) y) 1/3) 1/9)) x) (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (- x (+ (* (* (sqrt x) y) 1/3) 1/9)) (+ (* (* (sqrt x) y) 1/3) 1/9) (+ (* (/ -1 (sqrt x)) (* 1/3 y)) (- 1 (/ 1/9 x))) (/ -1 (sqrt x)) (sqrt x) (* 1/3 y) (* (* (* (sqrt x) 3) 3) (sqrt x)) (- (- 1 (/ 1 (* (* (* (sqrt x) 3) 3) (sqrt x)))) (/ y (* 3 (sqrt x)))) (/ 1 (* (* (* (sqrt x) 3) 3) (sqrt x))) (* (* (sqrt x) 3) 3) (* (pow x -1/2) y) (* (sqrt x) y) (* 3 (sqrt x)) (* (sqrt x) 3))
2.0ms
y
@-inf
((/ (* (pow x -1/2) y) 3) (/ 1 (* x 9)) (- (- 1 (/ 1 (* x 9))) (/ (* (pow x -1/2) y) 3)) (- 1 (/ 1 (* x 9))) (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (- 1 (/ 1/9 x)) (/ 1/9 x) (/ (- x (+ (* (* (sqrt x) y) 1/3) 1/9)) x) (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (- x (+ (* (* (sqrt x) y) 1/3) 1/9)) (+ (* (* (sqrt x) y) 1/3) 1/9) (+ (* (/ -1 (sqrt x)) (* 1/3 y)) (- 1 (/ 1/9 x))) (/ -1 (sqrt x)) (sqrt x) (* 1/3 y) (* (* (* (sqrt x) 3) 3) (sqrt x)) (- (- 1 (/ 1 (* (* (* (sqrt x) 3) 3) (sqrt x)))) (/ y (* 3 (sqrt x)))) (/ 1 (* (* (* (sqrt x) 3) 3) (sqrt x))) (* (* (sqrt x) 3) 3) (* (pow x -1/2) y) (* (sqrt x) y) (* 3 (sqrt x)) (* (sqrt x) 3))
2.0ms
x
@inf
((/ (* (pow x -1/2) y) 3) (/ 1 (* x 9)) (- (- 1 (/ 1 (* x 9))) (/ (* (pow x -1/2) y) 3)) (- 1 (/ 1 (* x 9))) (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (- 1 (/ 1/9 x)) (/ 1/9 x) (/ (- x (+ (* (* (sqrt x) y) 1/3) 1/9)) x) (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (- x (+ (* (* (sqrt x) y) 1/3) 1/9)) (+ (* (* (sqrt x) y) 1/3) 1/9) (+ (* (/ -1 (sqrt x)) (* 1/3 y)) (- 1 (/ 1/9 x))) (/ -1 (sqrt x)) (sqrt x) (* 1/3 y) (* (* (* (sqrt x) 3) 3) (sqrt x)) (- (- 1 (/ 1 (* (* (* (sqrt x) 3) 3) (sqrt x)))) (/ y (* 3 (sqrt x)))) (/ 1 (* (* (* (sqrt x) 3) 3) (sqrt x))) (* (* (sqrt x) 3) 3) (* (pow x -1/2) y) (* (sqrt x) y) (* 3 (sqrt x)) (* (sqrt x) 3))
2.0ms
x
@0
((/ (* (pow x -1/2) y) 3) (/ 1 (* x 9)) (- (- 1 (/ 1 (* x 9))) (/ (* (pow x -1/2) y) 3)) (- 1 (/ 1 (* x 9))) (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (- 1 (/ 1/9 x)) (/ 1/9 x) (/ (- x (+ (* (* (sqrt x) y) 1/3) 1/9)) x) (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (- x (+ (* (* (sqrt x) y) 1/3) 1/9)) (+ (* (* (sqrt x) y) 1/3) 1/9) (+ (* (/ -1 (sqrt x)) (* 1/3 y)) (- 1 (/ 1/9 x))) (/ -1 (sqrt x)) (sqrt x) (* 1/3 y) (* (* (* (sqrt x) 3) 3) (sqrt x)) (- (- 1 (/ 1 (* (* (* (sqrt x) 3) 3) (sqrt x)))) (/ y (* 3 (sqrt x)))) (/ 1 (* (* (* (sqrt x) 3) 3) (sqrt x))) (* (* (sqrt x) 3) 3) (* (pow x -1/2) y) (* (sqrt x) y) (* 3 (sqrt x)) (* (sqrt x) 3))

simplify165.0ms (2%)

Memory
17.8MiB live, 132.6MiB allocated
Algorithm
egg-herbie
Rules
7 580×lower-fma.f64
7 580×lower-fma.f32
4 266×lower-*.f64
4 266×lower-*.f32
2 200×lower--.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01203245
13443202
29993178
329723178
468013178
082213006
Stop Event
iter limit
node limit
Counts
408 → 408
Calls
Call 1
Inputs
(* 1/3 (* (sqrt (/ 1 x)) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(- 1 (* 1/9 (/ 1 x)))
(- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))
(- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))
(- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))
(- 1 (* 1/9 (/ 1 x)))
(- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))
(- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))
(- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))
(/ (- x 1/9) x)
(- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))
(- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))
(- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))
(- 1 (* 1/9 (/ 1 x)))
(- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))
(- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))
(- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))
(- x 1/9)
(- (+ x (* -1/3 (* (sqrt x) y))) 1/9)
(- (+ x (* -1/3 (* (sqrt x) y))) 1/9)
(- (+ x (* -1/3 (* (sqrt x) y))) 1/9)
1/9
(+ 1/9 (* 1/3 (* (sqrt x) y)))
(+ 1/9 (* 1/3 (* (sqrt x) y)))
(+ 1/9 (* 1/3 (* (sqrt x) y)))
(- 1 (* 1/9 (/ 1 x)))
(- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))
(- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))
(- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))
(* 1/3 y)
(* 1/3 y)
(* 1/3 y)
(* 1/3 y)
(- 1 (* 1/9 (/ 1 x)))
(- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))
(- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))
(- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))
(* (sqrt (/ 1 x)) y)
(* (sqrt (/ 1 x)) y)
(* (sqrt (/ 1 x)) y)
(* (sqrt (/ 1 x)) y)
(* (sqrt x) y)
(* (sqrt x) y)
(* (sqrt x) y)
(* (sqrt x) y)
(* 1/3 (* (sqrt (/ 1 x)) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(* -1/3 (* (sqrt (/ 1 x)) y))
(* y (- (/ 1 y) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/9 (* x y)))))
(* y (- (/ 1 y) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/9 (* x y)))))
(* y (- (/ 1 y) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/9 (* x y)))))
(* -1/3 (* (sqrt (/ 1 x)) y))
(* y (- (/ 1 y) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/9 (* x y)))))
(* y (- (/ 1 y) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/9 (* x y)))))
(* y (- (/ 1 y) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/9 (* x y)))))
(* -1/3 (* (sqrt (/ 1 x)) y))
(* y (- (+ (* -1/3 (sqrt (/ 1 x))) (/ 1 y)) (/ 1/9 (* x y))))
(* y (- (+ (* -1/3 (sqrt (/ 1 x))) (/ 1 y)) (/ 1/9 (* x y))))
(* y (- (+ (* -1/3 (sqrt (/ 1 x))) (/ 1 y)) (/ 1/9 (* x y))))
(* -1/3 (* (sqrt (/ 1 x)) y))
(* y (- (/ 1 y) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/9 (* x y)))))
(* y (- (/ 1 y) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/9 (* x y)))))
(* y (- (/ 1 y) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/9 (* x y)))))
(* -1/3 (* (sqrt x) y))
(* y (- (/ x y) (+ (* 1/3 (sqrt x)) (* 1/9 (/ 1 y)))))
(* y (- (/ x y) (+ (* 1/3 (sqrt x)) (* 1/9 (/ 1 y)))))
(* y (- (/ x y) (+ (* 1/3 (sqrt x)) (* 1/9 (/ 1 y)))))
(* 1/3 (* (sqrt x) y))
(* y (+ (* 1/3 (sqrt x)) (* 1/9 (/ 1 y))))
(* y (+ (* 1/3 (sqrt x)) (* 1/9 (/ 1 y))))
(* y (+ (* 1/3 (sqrt x)) (* 1/9 (/ 1 y))))
(* -1/3 (* (sqrt (/ 1 x)) y))
(* y (- (+ (* -1/3 (sqrt (/ 1 x))) (/ 1 y)) (/ 1/9 (* x y))))
(* y (- (+ (* -1/3 (sqrt (/ 1 x))) (/ 1 y)) (/ 1/9 (* x y))))
(* y (- (+ (* -1/3 (sqrt (/ 1 x))) (/ 1 y)) (/ 1/9 (* x y))))
(* 1/3 y)
(* 1/3 y)
(* 1/3 y)
(* 1/3 y)
(* -1/3 (* (sqrt (/ 1 x)) y))
(* y (- (/ 1 y) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/9 (* x y)))))
(* y (- (/ 1 y) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/9 (* x y)))))
(* y (- (/ 1 y) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/9 (* x y)))))
(* (sqrt (/ 1 x)) y)
(* (sqrt (/ 1 x)) y)
(* (sqrt (/ 1 x)) y)
(* (sqrt (/ 1 x)) y)
(* (sqrt x) y)
(* (sqrt x) y)
(* (sqrt x) y)
(* (sqrt x) y)
(* 1/3 (* (sqrt (/ 1 x)) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(* -1/3 (* (sqrt (/ 1 x)) y))
(* -1 (* y (- (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* -1/3 (sqrt (/ 1 x))))))
(* -1 (* y (- (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* -1/3 (sqrt (/ 1 x))))))
(* -1 (* y (- (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* -1/3 (sqrt (/ 1 x))))))
(* -1/3 (* (sqrt (/ 1 x)) y))
(* -1 (* y (- (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* -1/3 (sqrt (/ 1 x))))))
(* -1 (* y (- (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* -1/3 (sqrt (/ 1 x))))))
(* -1 (* y (- (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* -1/3 (sqrt (/ 1 x))))))
(* -1/3 (* (sqrt (/ 1 x)) y))
(* -1 (* y (+ (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* 1/3 (sqrt (/ 1 x))))))
(* -1 (* y (+ (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* 1/3 (sqrt (/ 1 x))))))
(* -1 (* y (+ (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* 1/3 (sqrt (/ 1 x))))))
(* -1/3 (* (sqrt (/ 1 x)) y))
(* -1 (* y (- (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* -1/3 (sqrt (/ 1 x))))))
(* -1 (* y (- (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* -1/3 (sqrt (/ 1 x))))))
(* -1 (* y (- (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* -1/3 (sqrt (/ 1 x))))))
(* -1/3 (* (sqrt x) y))
(* -1 (* y (- (* -1 (/ (- x 1/9) y)) (* -1/3 (sqrt x)))))
(* -1 (* y (- (* -1 (/ (- x 1/9) y)) (* -1/3 (sqrt x)))))
(* -1 (* y (- (* -1 (/ (- x 1/9) y)) (* -1/3 (sqrt x)))))
(* 1/3 (* (sqrt x) y))
(* -1 (* y (- (* -1/3 (sqrt x)) (* 1/9 (/ 1 y)))))
(* -1 (* y (- (* -1/3 (sqrt x)) (* 1/9 (/ 1 y)))))
(* -1 (* y (- (* -1/3 (sqrt x)) (* 1/9 (/ 1 y)))))
(* -1/3 (* (sqrt (/ 1 x)) y))
(* -1 (* y (+ (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* 1/3 (sqrt (/ 1 x))))))
(* -1 (* y (+ (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* 1/3 (sqrt (/ 1 x))))))
(* -1 (* y (+ (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* 1/3 (sqrt (/ 1 x))))))
(* 1/3 y)
(* 1/3 y)
(* 1/3 y)
(* 1/3 y)
(* -1/3 (* (sqrt (/ 1 x)) y))
(* -1 (* y (- (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* -1/3 (sqrt (/ 1 x))))))
(* -1 (* y (- (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* -1/3 (sqrt (/ 1 x))))))
(* -1 (* y (- (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* -1/3 (sqrt (/ 1 x))))))
(* (sqrt (/ 1 x)) y)
(* (sqrt (/ 1 x)) y)
(* (sqrt (/ 1 x)) y)
(* (sqrt (/ 1 x)) y)
(* (sqrt x) y)
(* (sqrt x) y)
(* (sqrt x) y)
(* (sqrt x) y)
(* 1/3 (* (sqrt (/ 1 x)) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(/ 1/9 x)
(/ 1/9 x)
(/ 1/9 x)
(/ 1/9 x)
(* -1 (/ (+ 1/9 (* 1/3 (* (sqrt x) y))) x))
(/ (- x (+ 1/9 (* 1/3 (* (sqrt x) y)))) x)
(/ (- x (+ 1/9 (* 1/3 (* (sqrt x) y)))) x)
(/ (- x (+ 1/9 (* 1/3 (* (sqrt x) y)))) x)
(/ -1/9 x)
(/ (- x 1/9) x)
(/ (- x 1/9) x)
(/ (- x 1/9) x)
(* -1 (/ (+ 1/9 (* 1/3 (* (sqrt x) y))) x))
(/ (- x (+ 1/9 (* 1/3 (* (sqrt x) y)))) x)
(/ (- x (+ 1/9 (* 1/3 (* (sqrt x) y)))) x)
(/ (- x (+ 1/9 (* 1/3 (* (sqrt x) y)))) x)
(/ -1/9 x)
(/ (- x 1/9) x)
(/ (- x 1/9) x)
(/ (- x 1/9) x)
(/ 1/9 x)
(/ 1/9 x)
(/ 1/9 x)
(/ 1/9 x)
(* -1 (/ (+ 1/9 (* 1/3 (* (sqrt x) y))) x))
(/ (+ x (* -1 (+ 1/9 (* 1/3 (* (sqrt x) y))))) x)
(/ (+ x (* -1 (+ 1/9 (* 1/3 (* (sqrt x) y))))) x)
(/ (+ x (* -1 (+ 1/9 (* 1/3 (* (sqrt x) y))))) x)
(* -1 (/ (+ 1/9 (* 1/3 (* (sqrt x) y))) x))
(/ (- x (+ 1/9 (* 1/3 (* (sqrt x) y)))) x)
(/ (- x (+ 1/9 (* 1/3 (* (sqrt x) y)))) x)
(/ (- x (+ 1/9 (* 1/3 (* (sqrt x) y)))) x)
(* -1 (+ 1/9 (* 1/3 (* (sqrt x) y))))
(- x (+ 1/9 (* 1/3 (* (sqrt x) y))))
(- x (+ 1/9 (* 1/3 (* (sqrt x) y))))
(- x (+ 1/9 (* 1/3 (* (sqrt x) y))))
(+ 1/9 (* 1/3 (* (sqrt x) y)))
(+ 1/9 (* 1/3 (* (sqrt x) y)))
(+ 1/9 (* 1/3 (* (sqrt x) y)))
(+ 1/9 (* 1/3 (* (sqrt x) y)))
(/ (- (* -1/3 (* (sqrt x) y)) 1/9) x)
(/ (- (+ x (* -1/3 (* (sqrt x) y))) 1/9) x)
(/ (- (+ x (* -1/3 (* (sqrt x) y))) 1/9) x)
(/ (- (+ x (* -1/3 (* (sqrt x) y))) 1/9) x)
(* -1 (sqrt (/ 1 x)))
(* -1 (sqrt (/ 1 x)))
(* -1 (sqrt (/ 1 x)))
(* -1 (sqrt (/ 1 x)))
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(* 9 x)
(* 9 x)
(* 9 x)
(* 9 x)
(* -1 (/ (+ 1/9 (* 1/3 (* (sqrt x) y))) x))
(/ (- x (+ 1/9 (* 1/3 (* (sqrt x) y)))) x)
(/ (- x (+ 1/9 (* 1/3 (* (sqrt x) y)))) x)
(/ (- x (+ 1/9 (* 1/3 (* (sqrt x) y)))) x)
(/ 1/9 x)
(/ 1/9 x)
(/ 1/9 x)
(/ 1/9 x)
(* 9 (sqrt x))
(* 9 (sqrt x))
(* 9 (sqrt x))
(* 9 (sqrt x))
(* (sqrt (/ 1 x)) y)
(* (sqrt (/ 1 x)) y)
(* (sqrt (/ 1 x)) y)
(* (sqrt (/ 1 x)) y)
(* (sqrt x) y)
(* (sqrt x) y)
(* (sqrt x) y)
(* (sqrt x) 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))
(* 1/3 (* (sqrt (/ 1 x)) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(/ 1/9 x)
(/ 1/9 x)
(/ 1/9 x)
(/ 1/9 x)
(- 1 (* 1/3 (* (sqrt (/ 1 x)) y)))
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))
1
(- 1 (* 1/9 (/ 1 x)))
(- 1 (* 1/9 (/ 1 x)))
(- 1 (* 1/9 (/ 1 x)))
(- 1 (* 1/3 (* (sqrt (/ 1 x)) y)))
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))
1
(- 1 (* 1/9 (/ 1 x)))
(- 1 (* 1/9 (/ 1 x)))
(- 1 (* 1/9 (/ 1 x)))
(/ 1/9 x)
(/ 1/9 x)
(/ 1/9 x)
(/ 1/9 x)
(- 1 (* 1/3 (* (sqrt (/ 1 x)) y)))
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))
(- 1 (* 1/3 (* (sqrt (/ 1 x)) y)))
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))
(* x (- 1 (* 1/3 (* (sqrt (/ 1 x)) y))))
(* x (- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x)))))
(* x (- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x)))))
(* x (- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x)))))
(* 1/3 (* (sqrt x) y))
(* x (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))
(* x (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))
(* x (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))
(+ 1 (* -1/3 (* (sqrt (/ 1 x)) y)))
(- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))
(- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))
(- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))
(* -1 (sqrt (/ 1 x)))
(* -1 (sqrt (/ 1 x)))
(* -1 (sqrt (/ 1 x)))
(* -1 (sqrt (/ 1 x)))
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(* 9 x)
(* 9 x)
(* 9 x)
(* 9 x)
(- 1 (* 1/3 (* (sqrt (/ 1 x)) y)))
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))
(/ 1/9 x)
(/ 1/9 x)
(/ 1/9 x)
(/ 1/9 x)
(* 9 (sqrt x))
(* 9 (sqrt x))
(* 9 (sqrt x))
(* 9 (sqrt x))
(* (sqrt (/ 1 x)) y)
(* (sqrt (/ 1 x)) y)
(* (sqrt (/ 1 x)) y)
(* (sqrt (/ 1 x)) y)
(* (sqrt x) y)
(* (sqrt x) y)
(* (sqrt x) y)
(* (sqrt x) 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))
(* 1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))
(* 1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))
(* 1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))
(* 1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))
(/ 1/9 x)
(/ 1/9 x)
(/ 1/9 x)
(/ 1/9 x)
(- 1 (* 1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (* 1/9 (/ 1 x))))
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (* 1/9 (/ 1 x))))
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (* 1/9 (/ 1 x))))
1
(- 1 (* 1/9 (/ 1 x)))
(- 1 (* 1/9 (/ 1 x)))
(- 1 (* 1/9 (/ 1 x)))
(- 1 (* 1/3 (* (sqrt (/ 1 x)) y)))
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))
1
(- 1 (* 1/9 (/ 1 x)))
(- 1 (* 1/9 (/ 1 x)))
(- 1 (* 1/9 (/ 1 x)))
(/ 1/9 x)
(/ 1/9 x)
(/ 1/9 x)
(/ 1/9 x)
(+ 1 (* 1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))
(- (+ 1 (* 1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))) (* 1/9 (/ 1 x)))
(- (+ 1 (* 1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))) (* 1/9 (/ 1 x)))
(- (+ 1 (* 1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))) (* 1/9 (/ 1 x)))
(- 1 (* 1/3 (* (sqrt (/ 1 x)) y)))
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))
(* x (+ 1 (* 1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))))
(* -1 (* x (- (* 1/9 (/ 1 x)) (+ 1 (* 1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))))))
(* -1 (* x (- (* 1/9 (/ 1 x)) (+ 1 (* 1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))))))
(* -1 (* x (- (* 1/9 (/ 1 x)) (+ 1 (* 1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))))))
(* -1/3 (* (sqrt x) (* y (pow (sqrt -1) 2))))
(* -1 (* x (- (* 1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (* 1/9 (/ 1 x)))))
(* -1 (* x (- (* 1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (* 1/9 (/ 1 x)))))
(* -1 (* x (- (* 1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (* 1/9 (/ 1 x)))))
(+ 1 (* -1/3 (* (sqrt (/ 1 x)) y)))
(- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))
(- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))
(- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))
(* -1 (sqrt (/ 1 x)))
(* -1 (sqrt (/ 1 x)))
(* -1 (sqrt (/ 1 x)))
(* -1 (sqrt (/ 1 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)))
(* -9 (* x (pow (sqrt -1) 2)))
(* -9 (* x (pow (sqrt -1) 2)))
(* -9 (* x (pow (sqrt -1) 2)))
(* -9 (* x (pow (sqrt -1) 2)))
(- 1 (* 1/3 (* (sqrt (/ 1 x)) y)))
(- (+ 1 (* 1/9 (/ 1 (* x (pow (sqrt -1) 2))))) (* 1/3 (* (sqrt (/ 1 x)) y)))
(- (+ 1 (* 1/9 (/ 1 (* x (pow (sqrt -1) 2))))) (* 1/3 (* (sqrt (/ 1 x)) y)))
(- (+ 1 (* 1/9 (/ 1 (* x (pow (sqrt -1) 2))))) (* 1/3 (* (sqrt (/ 1 x)) y)))
(/ -1/9 (* x (pow (sqrt -1) 2)))
(/ -1/9 (* x (pow (sqrt -1) 2)))
(/ -1/9 (* x (pow (sqrt -1) 2)))
(/ -1/9 (* x (pow (sqrt -1) 2)))
(* -9 (* (sqrt x) (pow (sqrt -1) 2)))
(* -9 (* (sqrt x) (pow (sqrt -1) 2)))
(* -9 (* (sqrt x) (pow (sqrt -1) 2)))
(* -9 (* (sqrt x) (pow (sqrt -1) 2)))
(* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))
(* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))
(* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))
(* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))
(* -1 (* (sqrt x) (* y (pow (sqrt -1) 2))))
(* -1 (* (sqrt x) (* y (pow (sqrt -1) 2))))
(* -1 (* (sqrt x) (* y (pow (sqrt -1) 2))))
(* -1 (* (sqrt x) (* y (pow (sqrt -1) 2))))
(* -3 (* (sqrt x) (pow (sqrt -1) 2)))
(* -3 (* (sqrt x) (pow (sqrt -1) 2)))
(* -3 (* (sqrt x) (pow (sqrt -1) 2)))
(* -3 (* (sqrt x) (pow (sqrt -1) 2)))
(* -3 (* (sqrt x) (pow (sqrt -1) 2)))
(* -3 (* (sqrt x) (pow (sqrt -1) 2)))
(* -3 (* (sqrt x) (pow (sqrt -1) 2)))
(* -3 (* (sqrt x) (pow (sqrt -1) 2)))
Outputs
(* 1/3 (* (sqrt (/ 1 x)) y))
(*.f64 (*.f64 y #s(literal 1/3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(* 1/3 (* (sqrt (/ 1 x)) y))
(*.f64 (*.f64 y #s(literal 1/3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(* 1/3 (* (sqrt (/ 1 x)) y))
(*.f64 (*.f64 y #s(literal 1/3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(* 1/3 (* (sqrt (/ 1 x)) y))
(*.f64 (*.f64 y #s(literal 1/3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(- 1 (* 1/9 (/ 1 x)))
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x))
(- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))
(fma.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)))
(- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))
(fma.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)))
(- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))
(fma.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)))
(- 1 (* 1/9 (/ 1 x)))
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x))
(- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))
(fma.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)))
(- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))
(fma.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)))
(- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))
(fma.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)))
(/ (- x 1/9) x)
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x))
(- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))
(fma.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)))
(- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))
(fma.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)))
(- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))
(fma.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)))
(- 1 (* 1/9 (/ 1 x)))
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x))
(- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))
(fma.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)))
(- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))
(fma.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)))
(- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))
(fma.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)))
(- x 1/9)
(-.f64 x #s(literal 1/9 binary64))
(- (+ x (* -1/3 (* (sqrt x) y))) 1/9)
(fma.f64 (*.f64 (sqrt.f64 x) #s(literal -1/3 binary64)) y (-.f64 x #s(literal 1/9 binary64)))
(- (+ x (* -1/3 (* (sqrt x) y))) 1/9)
(fma.f64 (*.f64 (sqrt.f64 x) #s(literal -1/3 binary64)) y (-.f64 x #s(literal 1/9 binary64)))
(- (+ x (* -1/3 (* (sqrt x) y))) 1/9)
(fma.f64 (*.f64 (sqrt.f64 x) #s(literal -1/3 binary64)) y (-.f64 x #s(literal 1/9 binary64)))
1/9
#s(literal 1/9 binary64)
(+ 1/9 (* 1/3 (* (sqrt x) y)))
(fma.f64 (*.f64 (sqrt.f64 x) y) #s(literal 1/3 binary64) #s(literal 1/9 binary64))
(+ 1/9 (* 1/3 (* (sqrt x) y)))
(fma.f64 (*.f64 (sqrt.f64 x) y) #s(literal 1/3 binary64) #s(literal 1/9 binary64))
(+ 1/9 (* 1/3 (* (sqrt x) y)))
(fma.f64 (*.f64 (sqrt.f64 x) y) #s(literal 1/3 binary64) #s(literal 1/9 binary64))
(- 1 (* 1/9 (/ 1 x)))
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x))
(- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))
(fma.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)))
(- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))
(fma.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)))
(- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))
(fma.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)))
(* 1/3 y)
(*.f64 y #s(literal 1/3 binary64))
(* 1/3 y)
(*.f64 y #s(literal 1/3 binary64))
(* 1/3 y)
(*.f64 y #s(literal 1/3 binary64))
(* 1/3 y)
(*.f64 y #s(literal 1/3 binary64))
(- 1 (* 1/9 (/ 1 x)))
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x))
(- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))
(fma.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)))
(- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))
(fma.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)))
(- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))
(fma.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)))
(* (sqrt (/ 1 x)) y)
(*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(* (sqrt (/ 1 x)) y)
(*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(* (sqrt (/ 1 x)) y)
(*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(* (sqrt (/ 1 x)) y)
(*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(* (sqrt x) y)
(*.f64 (sqrt.f64 x) y)
(* (sqrt x) y)
(*.f64 (sqrt.f64 x) y)
(* (sqrt x) y)
(*.f64 (sqrt.f64 x) y)
(* (sqrt x) y)
(*.f64 (sqrt.f64 x) y)
(* 1/3 (* (sqrt (/ 1 x)) y))
(*.f64 (*.f64 y #s(literal 1/3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(* 1/3 (* (sqrt (/ 1 x)) y))
(*.f64 (*.f64 y #s(literal 1/3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(* 1/3 (* (sqrt (/ 1 x)) y))
(*.f64 (*.f64 y #s(literal 1/3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(* 1/3 (* (sqrt (/ 1 x)) y))
(*.f64 (*.f64 y #s(literal 1/3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(* -1/3 (* (sqrt (/ 1 x)) y))
(*.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(* y (- (/ 1 y) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/9 (* x y)))))
(fma.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)))
(* y (- (/ 1 y) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/9 (* x y)))))
(fma.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)))
(* y (- (/ 1 y) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/9 (* x y)))))
(fma.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)))
(* -1/3 (* (sqrt (/ 1 x)) y))
(*.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(* y (- (/ 1 y) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/9 (* x y)))))
(fma.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)))
(* y (- (/ 1 y) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/9 (* x y)))))
(fma.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)))
(* y (- (/ 1 y) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/9 (* x y)))))
(fma.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)))
(* -1/3 (* (sqrt (/ 1 x)) y))
(*.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(* y (- (+ (* -1/3 (sqrt (/ 1 x))) (/ 1 y)) (/ 1/9 (* x y))))
(fma.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)))
(* y (- (+ (* -1/3 (sqrt (/ 1 x))) (/ 1 y)) (/ 1/9 (* x y))))
(fma.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)))
(* y (- (+ (* -1/3 (sqrt (/ 1 x))) (/ 1 y)) (/ 1/9 (* x y))))
(fma.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)))
(* -1/3 (* (sqrt (/ 1 x)) y))
(*.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(* y (- (/ 1 y) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/9 (* x y)))))
(fma.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)))
(* y (- (/ 1 y) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/9 (* x y)))))
(fma.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)))
(* y (- (/ 1 y) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/9 (* x y)))))
(fma.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)))
(* -1/3 (* (sqrt x) y))
(*.f64 (*.f64 (sqrt.f64 x) y) #s(literal -1/3 binary64))
(* y (- (/ x y) (+ (* 1/3 (sqrt x)) (* 1/9 (/ 1 y)))))
(fma.f64 (*.f64 (sqrt.f64 x) #s(literal -1/3 binary64)) y (-.f64 x #s(literal 1/9 binary64)))
(* y (- (/ x y) (+ (* 1/3 (sqrt x)) (* 1/9 (/ 1 y)))))
(fma.f64 (*.f64 (sqrt.f64 x) #s(literal -1/3 binary64)) y (-.f64 x #s(literal 1/9 binary64)))
(* y (- (/ x y) (+ (* 1/3 (sqrt x)) (* 1/9 (/ 1 y)))))
(fma.f64 (*.f64 (sqrt.f64 x) #s(literal -1/3 binary64)) y (-.f64 x #s(literal 1/9 binary64)))
(* 1/3 (* (sqrt x) y))
(*.f64 (*.f64 (sqrt.f64 x) y) #s(literal 1/3 binary64))
(* y (+ (* 1/3 (sqrt x)) (* 1/9 (/ 1 y))))
(fma.f64 (*.f64 (sqrt.f64 x) y) #s(literal 1/3 binary64) #s(literal 1/9 binary64))
(* y (+ (* 1/3 (sqrt x)) (* 1/9 (/ 1 y))))
(fma.f64 (*.f64 (sqrt.f64 x) y) #s(literal 1/3 binary64) #s(literal 1/9 binary64))
(* y (+ (* 1/3 (sqrt x)) (* 1/9 (/ 1 y))))
(fma.f64 (*.f64 (sqrt.f64 x) y) #s(literal 1/3 binary64) #s(literal 1/9 binary64))
(* -1/3 (* (sqrt (/ 1 x)) y))
(*.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(* y (- (+ (* -1/3 (sqrt (/ 1 x))) (/ 1 y)) (/ 1/9 (* x y))))
(fma.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)))
(* y (- (+ (* -1/3 (sqrt (/ 1 x))) (/ 1 y)) (/ 1/9 (* x y))))
(fma.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)))
(* y (- (+ (* -1/3 (sqrt (/ 1 x))) (/ 1 y)) (/ 1/9 (* x y))))
(fma.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)))
(* 1/3 y)
(*.f64 y #s(literal 1/3 binary64))
(* 1/3 y)
(*.f64 y #s(literal 1/3 binary64))
(* 1/3 y)
(*.f64 y #s(literal 1/3 binary64))
(* 1/3 y)
(*.f64 y #s(literal 1/3 binary64))
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(*.f64 #s(literal 9 binary64) x)
(- 1 (* 1/3 (* (sqrt (/ 1 x)) y)))
(fma.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
(- (+ 1 (* 1/9 (/ 1 (* x (pow (sqrt -1) 2))))) (* 1/3 (* (sqrt (/ 1 x)) y)))
(fma.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)))
(- (+ 1 (* 1/9 (/ 1 (* x (pow (sqrt -1) 2))))) (* 1/3 (* (sqrt (/ 1 x)) y)))
(fma.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)))
(- (+ 1 (* 1/9 (/ 1 (* x (pow (sqrt -1) 2))))) (* 1/3 (* (sqrt (/ 1 x)) y)))
(fma.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)))
(/ -1/9 (* x (pow (sqrt -1) 2)))
(/.f64 #s(literal 1/9 binary64) x)
(/ -1/9 (* x (pow (sqrt -1) 2)))
(/.f64 #s(literal 1/9 binary64) x)
(/ -1/9 (* x (pow (sqrt -1) 2)))
(/.f64 #s(literal 1/9 binary64) x)
(/ -1/9 (* x (pow (sqrt -1) 2)))
(/.f64 #s(literal 1/9 binary64) x)
(* -9 (* (sqrt x) (pow (sqrt -1) 2)))
(*.f64 #s(literal 9 binary64) (sqrt.f64 x))
(* -9 (* (sqrt x) (pow (sqrt -1) 2)))
(*.f64 #s(literal 9 binary64) (sqrt.f64 x))
(* -9 (* (sqrt x) (pow (sqrt -1) 2)))
(*.f64 #s(literal 9 binary64) (sqrt.f64 x))
(* -9 (* (sqrt x) (pow (sqrt -1) 2)))
(*.f64 #s(literal 9 binary64) (sqrt.f64 x))
(* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))
(*.f64 (neg.f64 y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))
(*.f64 (neg.f64 y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))
(*.f64 (neg.f64 y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))
(*.f64 (neg.f64 y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(* -1 (* (sqrt x) (* y (pow (sqrt -1) 2))))
(*.f64 (sqrt.f64 x) y)
(* -1 (* (sqrt x) (* y (pow (sqrt -1) 2))))
(*.f64 (sqrt.f64 x) y)
(* -1 (* (sqrt x) (* y (pow (sqrt -1) 2))))
(*.f64 (sqrt.f64 x) y)
(* -1 (* (sqrt x) (* y (pow (sqrt -1) 2))))
(*.f64 (sqrt.f64 x) y)
(* -3 (* (sqrt x) (pow (sqrt -1) 2)))
(*.f64 #s(literal 3 binary64) (sqrt.f64 x))
(* -3 (* (sqrt x) (pow (sqrt -1) 2)))
(*.f64 #s(literal 3 binary64) (sqrt.f64 x))
(* -3 (* (sqrt x) (pow (sqrt -1) 2)))
(*.f64 #s(literal 3 binary64) (sqrt.f64 x))
(* -3 (* (sqrt x) (pow (sqrt -1) 2)))
(*.f64 #s(literal 3 binary64) (sqrt.f64 x))
(* -3 (* (sqrt x) (pow (sqrt -1) 2)))
(*.f64 #s(literal 3 binary64) (sqrt.f64 x))
(* -3 (* (sqrt x) (pow (sqrt -1) 2)))
(*.f64 #s(literal 3 binary64) (sqrt.f64 x))
(* -3 (* (sqrt x) (pow (sqrt -1) 2)))
(*.f64 #s(literal 3 binary64) (sqrt.f64 x))
(* -3 (* (sqrt x) (pow (sqrt -1) 2)))
(*.f64 #s(literal 3 binary64) (sqrt.f64 x))

rewrite339.0ms (4.1%)

Memory
-26.4MiB live, 307.0MiB allocated
Rules
6 786×lower-fma.f32
6 782×lower-fma.f64
3 700×lower-/.f32
3 688×lower-/.f64
3 396×lower-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
043200
070191
1287166
22937163
010268158
Stop Event
iter limit
node limit
iter limit
Counts
23 → 859
Calls
Call 1
Inputs
(/.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) y) #s(literal 3 binary64))
(/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) (/.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) y) #s(literal 3 binary64)))
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64))))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)))
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x))
(/.f64 #s(literal 1/9 binary64) x)
(/.f64 (-.f64 x (fma.f64 (*.f64 (sqrt.f64 x) y) #s(literal 1/3 binary64) #s(literal 1/9 binary64))) x)
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 (-.f64 x (fma.f64 (*.f64 (sqrt.f64 x) y) #s(literal 1/3 binary64) #s(literal 1/9 binary64))) x))
(-.f64 x (fma.f64 (*.f64 (sqrt.f64 x) y) #s(literal 1/3 binary64) #s(literal 1/9 binary64)))
(fma.f64 (*.f64 (sqrt.f64 x) y) #s(literal 1/3 binary64) #s(literal 1/9 binary64))
(fma.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) (*.f64 #s(literal 1/3 binary64) y) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)))
(/.f64 #s(literal -1 binary64) (sqrt.f64 x))
(sqrt.f64 x)
(*.f64 #s(literal 1/3 binary64) y)
(*.f64 (*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) #s(literal 3 binary64)) (sqrt.f64 x))
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) #s(literal 3 binary64)) (sqrt.f64 x)))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) #s(literal 3 binary64)) (sqrt.f64 x)))
(*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) #s(literal 3 binary64))
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) y)
(*.f64 (sqrt.f64 x) y)
(*.f64 #s(literal 3 binary64) (sqrt.f64 x))
(*.f64 (sqrt.f64 x) #s(literal 3 binary64))
Outputs
(*.f64 (/.f64 (neg.f64 y) #s(literal -1 binary64)) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)))
(*.f64 (/.f64 (*.f64 #s(literal 1/3 binary64) y) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (sqrt.f64 x)))
(*.f64 (/.f64 y (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 y (pow.f64 x #s(literal 1/4 binary64))))
(*.f64 (/.f64 y (sqrt.f64 x)) #s(literal 1/3 binary64))
(*.f64 #s(literal -1/3 binary64) (/.f64 y (neg.f64 (sqrt.f64 x))))
(*.f64 (*.f64 #s(literal 1/3 binary64) y) (pow.f64 x #s(literal -1/2 binary64)))
(*.f64 (pow.f64 x #s(literal -1/4 binary64)) (*.f64 (pow.f64 x #s(literal -1/4 binary64)) (*.f64 #s(literal 1/3 binary64) y)))
(*.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (pow.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) y)
(*.f64 (*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) y) #s(literal -1/3 binary64))
(*.f64 (neg.f64 y) (pow.f64 (*.f64 #s(literal -3 binary64) (sqrt.f64 x)) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) (/.f64 y #s(literal -3 binary64)))
(*.f64 #s(literal 1/3 binary64) (pow.f64 (/.f64 (sqrt.f64 x) y) #s(literal -1 binary64)))
(*.f64 #s(literal 1/3 binary64) (pow.f64 (pow.f64 (*.f64 y (pow.f64 x #s(literal -1/2 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 #s(literal 1/3 binary64) (/.f64 y (sqrt.f64 x)))
(*.f64 #s(literal 1/3 binary64) (*.f64 y (pow.f64 x #s(literal -1/2 binary64))))
(*.f64 #s(literal 1 binary64) (/.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64))))
(*.f64 (*.f64 y (pow.f64 x #s(literal -1/2 binary64))) #s(literal 1/3 binary64))
(*.f64 y (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)))
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (*.f64 #s(literal 1/3 binary64) y))
(pow.f64 (/.f64 (sqrt.f64 x) (*.f64 #s(literal 1/3 binary64) y)) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) y) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) y) #s(literal -1 binary64))
(/.f64 (neg.f64 (/.f64 y (sqrt.f64 x))) #s(literal -3 binary64))
(/.f64 (neg.f64 (*.f64 y #s(literal 1 binary64))) (*.f64 #s(literal -3 binary64) (sqrt.f64 x)))
(/.f64 (neg.f64 (neg.f64 (*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) y))) #s(literal -3 binary64))
(/.f64 (neg.f64 (neg.f64 (neg.f64 y))) (neg.f64 (neg.f64 (*.f64 #s(literal -3 binary64) (sqrt.f64 x)))))
(/.f64 (/.f64 y (sqrt.f64 x)) #s(literal 3 binary64))
(/.f64 (neg.f64 (*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) y)) #s(literal 3 binary64))
(/.f64 (neg.f64 (neg.f64 y)) (neg.f64 (*.f64 #s(literal -3 binary64) (sqrt.f64 x))))
(/.f64 (neg.f64 (*.f64 #s(literal -1/3 binary64) y)) (neg.f64 (neg.f64 (sqrt.f64 x))))
(/.f64 (*.f64 y #s(literal 1 binary64)) (*.f64 (sqrt.f64 x) #s(literal 3 binary64)))
(/.f64 (*.f64 #s(literal 1/3 binary64) y) (sqrt.f64 x))
(/.f64 (*.f64 #s(literal -1/3 binary64) y) (neg.f64 (sqrt.f64 x)))
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) y) #s(literal -3 binary64))
(/.f64 (neg.f64 y) (*.f64 #s(literal -3 binary64) (sqrt.f64 x)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (sqrt.f64 x) (*.f64 #s(literal 1/3 binary64) y))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) y) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) y)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) y))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 x) (*.f64 #s(literal 1/3 binary64) y)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) y) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) y))
(/.f64 (*.f64 y (pow.f64 x #s(literal -1/2 binary64))) #s(literal 3 binary64))
(/.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64)))
(neg.f64 (*.f64 (/.f64 y (sqrt.f64 x)) #s(literal -1/3 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 #s(literal -3 binary64) (sqrt.f64 x))) (*.f64 (/.f64 y (sqrt.f64 x)) #s(literal -1/3 binary64)))
(-.f64 #s(literal 0 binary64) (*.f64 (/.f64 y (sqrt.f64 x)) #s(literal -1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) y)) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 1/4 binary64))) (/.f64 (*.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal -1/2 binary64))) (pow.f64 x #s(literal 1/4 binary64))))
(*.f64 (/.f64 (pow.f64 x #s(literal -1/4 binary64)) (sqrt.f64 x)) (/.f64 (pow.f64 x #s(literal -1/4 binary64)) #s(literal 9 binary64)))
(*.f64 (/.f64 (pow.f64 x #s(literal -1/4 binary64)) #s(literal 9 binary64)) (/.f64 (pow.f64 x #s(literal -1/4 binary64)) (sqrt.f64 x)))
(*.f64 (/.f64 (pow.f64 x #s(literal -1/4 binary64)) (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) (/.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)) (*.f64 (sqrt.f64 x) #s(literal 3 binary64))))
(*.f64 (pow.f64 (*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) (sqrt.f64 x)) #s(literal -1 binary64)) #s(literal 1/3 binary64))
(*.f64 (pow.f64 (*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) #s(literal -1 binary64)) #s(literal 1/3 binary64))
(*.f64 (*.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal -1/2 binary64))) (pow.f64 x #s(literal -1/2 binary64)))
(*.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)))
(*.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1/9 binary64))
(*.f64 #s(literal -1/9 binary64) (pow.f64 (neg.f64 x) #s(literal -1 binary64)))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/9 binary64) x))
(*.f64 #s(literal 1/3 binary64) (/.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (sqrt.f64 x)))
(*.f64 #s(literal 1/3 binary64) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (*.f64 (sqrt.f64 x) #s(literal 3 binary64))))
(*.f64 #s(literal 1/3 binary64) (pow.f64 (*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) (sqrt.f64 x)) #s(literal -1 binary64)))
(*.f64 #s(literal 1/3 binary64) (pow.f64 (*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) #s(literal -1 binary64)))
(*.f64 #s(literal 1/9 binary64) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (sqrt.f64 x)))
(*.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal -1 binary64)))
(*.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 (pow.f64 x #s(literal -1/2 binary64)) (*.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal -1/2 binary64))))
(pow.f64 (/.f64 (sqrt.f64 x) (*.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal -1/2 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal 9 binary64) (pow.f64 x #s(literal -1 binary64))) #s(literal -1 binary64))
(pow.f64 (neg.f64 (*.f64 #s(literal -9 binary64) x)) #s(literal -1 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal 9 binary64) x) #s(literal 2 binary64)) #s(literal -1/2 binary64))
(pow.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) #s(literal 2 binary64))
(pow.f64 (*.f64 #s(literal 9 binary64) x) #s(literal -1 binary64))
(pow.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) #s(literal -2 binary64))
(/.f64 (neg.f64 (neg.f64 (pow.f64 x #s(literal -1 binary64)))) #s(literal 9 binary64))
(/.f64 (neg.f64 (neg.f64 (*.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal -1/2 binary64))))) (neg.f64 (neg.f64 (sqrt.f64 x))))
(/.f64 (neg.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) (*.f64 #s(literal -3 binary64) (sqrt.f64 x)))
(/.f64 (neg.f64 (*.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal -1/2 binary64)))) (neg.f64 (sqrt.f64 x)))
(/.f64 (neg.f64 (pow.f64 x #s(literal -1 binary64))) #s(literal -9 binary64))
(/.f64 (*.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal -1/2 binary64))) (sqrt.f64 x))
(/.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (*.f64 (sqrt.f64 x) #s(literal 3 binary64)))
(/.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 9 binary64))
(/.f64 #s(literal -1/9 binary64) (neg.f64 (neg.f64 (neg.f64 x))))
(/.f64 #s(literal -1/9 binary64) (neg.f64 x))
(/.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) (neg.f64 (*.f64 (sqrt.f64 x) #s(literal 9 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 9 binary64) (pow.f64 x #s(literal -1 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (sqrt.f64 x) (*.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal -1/2 binary64))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (neg.f64 (*.f64 #s(literal -9 binary64) x))))
(/.f64 #s(literal -1 binary64) (*.f64 #s(literal -9 binary64) x))
(/.f64 #s(literal 1/9 binary64) (neg.f64 (neg.f64 x)))
(/.f64 #s(literal 1/9 binary64) x)
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 x) (*.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal -1/2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 9 binary64) (pow.f64 x #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 #s(literal -9 binary64) x)))
(/.f64 #s(literal 1 binary64) (*.f64 #s(literal 9 binary64) x))
(/.f64 (pow.f64 x #s(literal -1/2 binary64)) (*.f64 (sqrt.f64 x) #s(literal 9 binary64)))
(neg.f64 (/.f64 #s(literal -1/9 binary64) x))
(exp.f64 (log.f64 (/.f64 #s(literal 1/9 binary64) x)))
(*.f64 (fma.f64 #s(literal 1/27 binary64) (pow.f64 (*.f64 y (pow.f64 x #s(literal -1/2 binary64))) #s(literal 3 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)) #s(literal 3 binary64))) (pow.f64 (fma.f64 (/.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) y (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x))) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)) #s(literal 2 binary64))) #s(literal -1 binary64)))
(*.f64 (fma.f64 #s(literal 1/27 binary64) (pow.f64 (*.f64 y (pow.f64 x #s(literal -1/2 binary64))) #s(literal 3 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)) #s(literal 3 binary64))) (pow.f64 (fma.f64 (/.f64 y x) (/.f64 y #s(literal 9 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)) (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)) (*.f64 (/.f64 y (sqrt.f64 x)) #s(literal -1/3 binary64))))) #s(literal -1 binary64)))
(*.f64 (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)) #s(literal 2 binary64)) (*.f64 (/.f64 y x) (/.f64 y #s(literal 9 binary64)))) (pow.f64 (fma.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) y (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x))) #s(literal -1 binary64)))
(*.f64 (-.f64 (*.f64 (/.f64 y x) (/.f64 y #s(literal 9 binary64))) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)) #s(literal 2 binary64))) (pow.f64 (-.f64 (*.f64 (/.f64 y (sqrt.f64 x)) #s(literal -1/3 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x))) #s(literal -1 binary64)))
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(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (sqrt.f64 x) (*.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal -1/2 binary64))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (neg.f64 (*.f64 #s(literal -9 binary64) x))))
(/.f64 #s(literal -1 binary64) (*.f64 #s(literal -9 binary64) x))
(/.f64 #s(literal 1/9 binary64) (neg.f64 (neg.f64 x)))
(/.f64 #s(literal 1/9 binary64) x)
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 x) (*.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal -1/2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 9 binary64) (pow.f64 x #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 #s(literal -9 binary64) x)))
(/.f64 #s(literal 1 binary64) (*.f64 #s(literal 9 binary64) x))
(/.f64 (pow.f64 x #s(literal -1/2 binary64)) (*.f64 (sqrt.f64 x) #s(literal 9 binary64)))
(neg.f64 (/.f64 #s(literal -1/9 binary64) x))
(exp.f64 (log.f64 (/.f64 #s(literal 1/9 binary64) x)))
(*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) #s(literal 3 binary64))
(*.f64 (sqrt.f64 x) #s(literal 9 binary64))
(*.f64 #s(literal 9 binary64) (sqrt.f64 x))
(*.f64 #s(literal 3 binary64) (*.f64 (sqrt.f64 x) #s(literal 3 binary64)))
(*.f64 (*.f64 y (pow.f64 x #s(literal -1/4 binary64))) (pow.f64 x #s(literal -1/4 binary64)))
(*.f64 (pow.f64 x #s(literal -1/4 binary64)) (*.f64 (pow.f64 x #s(literal -1/4 binary64)) y))
(*.f64 y (pow.f64 x #s(literal -1/2 binary64)))
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) y)
(*.f64 (sqrt.f64 x) y)
(*.f64 y (sqrt.f64 x))
(*.f64 (sqrt.f64 x) #s(literal 3 binary64))
(*.f64 #s(literal 3 binary64) (sqrt.f64 x))
(*.f64 (sqrt.f64 x) #s(literal 3 binary64))
(*.f64 #s(literal 3 binary64) (sqrt.f64 x))

eval336.0ms (4%)

Memory
10.3MiB live, 434.9MiB allocated
Compiler

Compiled 30 776 to 2 064 computations (93.3% saved)

prune125.0ms (1.5%)

Memory
12.6MiB live, 369.3MiB allocated
Pruning

21 alts after pruning (19 fresh and 2 done)

PrunedKeptTotal
New1 431131 444
Fresh7613
Picked325
Done101
Total1 442211 463
Accuracy
100.0%
Counts
1 463 → 21
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.6%
(fma.f64 (/.f64 y (sqrt.f64 x)) #s(literal -1/3 binary64) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)))
99.5%
(fma.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) (/.f64 y #s(literal 3 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)))
68.2%
(fma.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) (*.f64 #s(literal 1/3 binary64) y) #s(approx (- 1 (/ 1/9 x)) #s(literal 1 binary64)))
99.6%
(fma.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/9 binary64) (-.f64 #s(literal 1 binary64) (/.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64)))))
99.5%
(fma.f64 (*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) y) #s(literal 1/3 binary64) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)))
99.7%
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -9 binary64))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
99.6%
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 3 binary64) x) #s(literal 3 binary64)))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
99.7%
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 #s(literal 3 binary64) y)))
99.6%
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) (/.f64 #s(approx (* (pow x -1/2) y) (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) #s(literal 3 binary64)))
69.5%
(-.f64 #s(approx (- 1 (/ 1 (* x 9))) (/.f64 #s(literal -1/9 binary64) x)) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
68.3%
(-.f64 #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
59.6%
#s(approx (- (- 1 (/ 1 (* (* (* (sqrt x) 3) 3) (sqrt x)))) (/ y (* 3 (sqrt x)))) (/.f64 (fma.f64 (*.f64 (sqrt.f64 x) #s(literal -1/3 binary64)) y #s(literal -1/9 binary64)) x))
39.9%
#s(approx (- (- 1 (/ 1 (* (* (* (sqrt x) 3) 3) (sqrt x)))) (/ y (* 3 (sqrt x)))) (*.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
52.7%
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 (-.f64 (*.f64 x x) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal 1/9 binary64)) x)) (*.f64 x x)))
89.6%
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 (-.f64 x (fma.f64 (*.f64 (sqrt.f64 x) y) #s(literal 1/3 binary64) #s(literal 1/9 binary64))) x))
29.9%
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 #s(approx (- x (+ (* (* (sqrt x) y) 1/3) 1/9)) (*.f64 (*.f64 (sqrt.f64 x) y) #s(literal -1/3 binary64))) x))
61.4%
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (*.f64 (sqrt.f64 x) #s(literal 3 binary64)))))
61.6%
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 9 binary64) x))))
61.6%
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)))
32.2%
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) #s(approx (- 1 (/ 1/9 x)) (/.f64 #s(literal -1/9 binary64) x)))
30.3%
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) #s(approx (- 1 (/ 1/9 x)) #s(literal 1 binary64)))
Compiler

Compiled 452 to 409 computations (9.5% saved)

simplify230.0ms (2.8%)

Memory
18.6MiB live, 170.1MiB allocated
Algorithm
egg-herbie
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f64 #s(literal 1/3 binary64) (sqrt.f64 x))
cost-diff0
(-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (*.f64 (sqrt.f64 x) #s(literal 3 binary64))))
cost-diff0
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (*.f64 (sqrt.f64 x) #s(literal 3 binary64)))))
cost-diff2304
(/.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (*.f64 (sqrt.f64 x) #s(literal 3 binary64)))
cost-diff0
(/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))
cost-diff0
(/.f64 #s(literal -1/9 binary64) x)
cost-diff0
#s(approx (- 1 (/ 1 (* x 9))) (/.f64 #s(literal -1/9 binary64) x))
cost-diff128
(-.f64 #s(approx (- 1 (/ 1 (* x 9))) (/.f64 #s(literal -1/9 binary64) x)) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
cost-diff0
(*.f64 (*.f64 (sqrt.f64 x) y) #s(literal -1/3 binary64))
cost-diff0
#s(approx (- x (+ (* (* (sqrt x) y) 1/3) 1/9)) (*.f64 (*.f64 (sqrt.f64 x) y) #s(literal -1/3 binary64)))
cost-diff0
(/.f64 #s(approx (- x (+ (* (* (sqrt x) y) 1/3) 1/9)) (*.f64 (*.f64 (sqrt.f64 x) y) #s(literal -1/3 binary64))) x)
cost-diff0
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 #s(approx (- x (+ (* (* (sqrt x) y) 1/3) 1/9)) (*.f64 (*.f64 (sqrt.f64 x) y) #s(literal -1/3 binary64))) x))
cost-diff0
#s(approx (- 1 (/ 1/9 x)) #s(literal 1 binary64))
cost-diff0
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) #s(approx (- 1 (/ 1/9 x)) #s(literal 1 binary64)))
cost-diff0
(/.f64 #s(literal -1 binary64) x)
cost-diff0
(-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -9 binary64)))
cost-diff128
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -9 binary64))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
cost-diff704
(/.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -9 binary64))
Rules
11 184×lower-fma.f64
11 184×lower-fma.f32
2 448×lower-*.f32
2 440×lower-*.f64
1 408×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
046270
063262
1107242
2226236
3416236
4690236
51263236
62547236
73162236
83701236
93956236
104012236
114033236
124042236
134108236
144320236
154716236
165956236
177794236
08071228
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -9 binary64))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
(-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -9 binary64)))
#s(literal 1 binary64)
(/.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -9 binary64))
(/.f64 #s(literal -1 binary64) x)
#s(literal -1 binary64)
x
#s(literal -9 binary64)
(/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))
y
(*.f64 #s(literal 3 binary64) (sqrt.f64 x))
#s(literal 3 binary64)
(sqrt.f64 x)
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) #s(approx (- 1 (/ 1/9 x)) #s(literal 1 binary64)))
#s(approx (- 1 (/ 1/9 x)) #s(literal 1 binary64))
#s(literal 1 binary64)
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 #s(approx (- x (+ (* (* (sqrt x) y) 1/3) 1/9)) (*.f64 (*.f64 (sqrt.f64 x) y) #s(literal -1/3 binary64))) x))
(/.f64 #s(approx (- x (+ (* (* (sqrt x) y) 1/3) 1/9)) (*.f64 (*.f64 (sqrt.f64 x) y) #s(literal -1/3 binary64))) x)
#s(approx (- x (+ (* (* (sqrt x) y) 1/3) 1/9)) (*.f64 (*.f64 (sqrt.f64 x) y) #s(literal -1/3 binary64)))
(*.f64 (*.f64 (sqrt.f64 x) y) #s(literal -1/3 binary64))
(*.f64 (sqrt.f64 x) y)
(sqrt.f64 x)
x
y
#s(literal -1/3 binary64)
(-.f64 #s(approx (- 1 (/ 1 (* x 9))) (/.f64 #s(literal -1/9 binary64) x)) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
#s(approx (- 1 (/ 1 (* x 9))) (/.f64 #s(literal -1/9 binary64) x))
(/.f64 #s(literal -1/9 binary64) x)
#s(literal -1/9 binary64)
x
(/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))
y
(*.f64 #s(literal 3 binary64) (sqrt.f64 x))
#s(literal 3 binary64)
(sqrt.f64 x)
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (*.f64 (sqrt.f64 x) #s(literal 3 binary64)))))
(-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (*.f64 (sqrt.f64 x) #s(literal 3 binary64))))
#s(literal 1 binary64)
(/.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (*.f64 (sqrt.f64 x) #s(literal 3 binary64)))
(/.f64 #s(literal 1/3 binary64) (sqrt.f64 x))
#s(literal 1/3 binary64)
(sqrt.f64 x)
x
(*.f64 (sqrt.f64 x) #s(literal 3 binary64))
#s(literal 3 binary64)
Outputs
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -9 binary64))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
(fma.f64 (/.f64 y (sqrt.f64 x)) #s(literal -1/3 binary64) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)))
(-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -9 binary64)))
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x))
#s(literal 1 binary64)
(/.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -9 binary64))
(/.f64 #s(literal 1/9 binary64) x)
(/.f64 #s(literal -1 binary64) x)
#s(literal -1 binary64)
x
#s(literal -9 binary64)
(/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))
(/.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64)))
y
(*.f64 #s(literal 3 binary64) (sqrt.f64 x))
(*.f64 (sqrt.f64 x) #s(literal 3 binary64))
#s(literal 3 binary64)
(sqrt.f64 x)
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) #s(approx (- 1 (/ 1/9 x)) #s(literal 1 binary64)))
#s(approx (- 1 (/ 1/9 x)) #s(literal 1 binary64))
#s(literal 1 binary64)
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 #s(approx (- x (+ (* (* (sqrt x) y) 1/3) 1/9)) (*.f64 (*.f64 (sqrt.f64 x) y) #s(literal -1/3 binary64))) x))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 #s(approx (- x (+ (* (* (sqrt x) y) 1/3) 1/9)) (*.f64 #s(literal -1/3 binary64) (*.f64 (sqrt.f64 x) y))) x))
(/.f64 #s(approx (- x (+ (* (* (sqrt x) y) 1/3) 1/9)) (*.f64 (*.f64 (sqrt.f64 x) y) #s(literal -1/3 binary64))) x)
(/.f64 #s(approx (- x (+ (* (* (sqrt x) y) 1/3) 1/9)) (*.f64 #s(literal -1/3 binary64) (*.f64 (sqrt.f64 x) y))) x)
#s(approx (- x (+ (* (* (sqrt x) y) 1/3) 1/9)) (*.f64 (*.f64 (sqrt.f64 x) y) #s(literal -1/3 binary64)))
#s(approx (- x (+ (* (* (sqrt x) y) 1/3) 1/9)) (*.f64 #s(literal -1/3 binary64) (*.f64 (sqrt.f64 x) y)))
(*.f64 (*.f64 (sqrt.f64 x) y) #s(literal -1/3 binary64))
(*.f64 #s(literal -1/3 binary64) (*.f64 (sqrt.f64 x) y))
(*.f64 (sqrt.f64 x) y)
(sqrt.f64 x)
x
y
#s(literal -1/3 binary64)
(-.f64 #s(approx (- 1 (/ 1 (* x 9))) (/.f64 #s(literal -1/9 binary64) x)) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
(fma.f64 (/.f64 y (sqrt.f64 x)) #s(literal -1/3 binary64) #s(approx (- 1 (/ 1/9 x)) (/.f64 #s(literal -1/9 binary64) x)))
#s(approx (- 1 (/ 1 (* x 9))) (/.f64 #s(literal -1/9 binary64) x))
#s(approx (- 1 (/ 1/9 x)) (/.f64 #s(literal -1/9 binary64) x))
(/.f64 #s(literal -1/9 binary64) x)
#s(literal -1/9 binary64)
x
(/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))
(/.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64)))
y
(*.f64 #s(literal 3 binary64) (sqrt.f64 x))
(*.f64 (sqrt.f64 x) #s(literal 3 binary64))
#s(literal 3 binary64)
(sqrt.f64 x)
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (*.f64 (sqrt.f64 x) #s(literal 3 binary64)))))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)))
(-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (*.f64 (sqrt.f64 x) #s(literal 3 binary64))))
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x))
#s(literal 1 binary64)
(/.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (*.f64 (sqrt.f64 x) #s(literal 3 binary64)))
(/.f64 #s(literal 1/9 binary64) x)
(/.f64 #s(literal 1/3 binary64) (sqrt.f64 x))
#s(literal 1/3 binary64)
(sqrt.f64 x)
x
(*.f64 (sqrt.f64 x) #s(literal 3 binary64))
#s(literal 3 binary64)

localize133.0ms (1.6%)

Memory
-13.4MiB live, 268.3MiB allocated
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
accuracy0.3046875
(/.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (*.f64 (sqrt.f64 x) #s(literal 3 binary64)))
accuracy0.32421875
(*.f64 (sqrt.f64 x) #s(literal 3 binary64))
accuracy0.38671875
(/.f64 #s(literal 1/3 binary64) (sqrt.f64 x))
accuracy24.492110860241475
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (*.f64 (sqrt.f64 x) #s(literal 3 binary64)))))
accuracy0.19140625
(/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))
accuracy0.32421875
(*.f64 #s(literal 3 binary64) (sqrt.f64 x))
accuracy0.37109375
(/.f64 #s(literal -1/9 binary64) x)
accuracy33.164514746811385
#s(approx (- 1 (/ 1 (* x 9))) (/.f64 #s(literal -1/9 binary64) x))
accuracy0.265625
(*.f64 (sqrt.f64 x) y)
accuracy0.3046875
(*.f64 (*.f64 (sqrt.f64 x) y) #s(literal -1/3 binary64))
accuracy6.586049023872697
(/.f64 #s(approx (- x (+ (* (* (sqrt x) y) 1/3) 1/9)) (*.f64 (*.f64 (sqrt.f64 x) y) #s(literal -1/3 binary64))) x)
accuracy38.398025400009416
#s(approx (- x (+ (* (* (sqrt x) y) 1/3) 1/9)) (*.f64 (*.f64 (sqrt.f64 x) y) #s(literal -1/3 binary64)))
accuracy24.492110860241475
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) #s(approx (- 1 (/ 1/9 x)) #s(literal 1 binary64)))
accuracy31.744508889638816
#s(approx (- 1 (/ 1/9 x)) #s(literal 1 binary64))
accuracy0.0078125
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -9 binary64))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
accuracy0.19140625
(/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))
accuracy0.23828125
(/.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -9 binary64))
accuracy0.32421875
(*.f64 #s(literal 3 binary64) (sqrt.f64 x))
Samples
92.0ms256×0valid
Compiler

Compiled 208 to 37 computations (82.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 49.0ms
ival-div: 16.0ms (32.4% of total)
const: 11.0ms (22.3% of total)
ival-mult: 10.0ms (20.2% of total)
ival-sub: 7.0ms (14.2% of total)
ival-sqrt: 2.0ms (4% of total)
ival-add: 1.0ms (2% of total)
exact: 1.0ms (2% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series35.0ms (0.4%)

Memory
5.5MiB live, 82.4MiB allocated
Counts
21 → 372
Calls
Call 1
Inputs
#s(alt (/.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -9 binary64)) (patch (/.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -9 binary64)) #<representation binary64>) () ())
#s(alt (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -9 binary64))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) (patch (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -9 binary64))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) #<representation binary64>) () ())
#s(alt (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -9 binary64))) (patch (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -9 binary64))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal -1 binary64) x) (patch (/.f64 #s(literal -1 binary64) x) #<representation binary64>) () ())
#s(alt #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) #s(approx (- 1 (/ 1/9 x)) #s(literal 1 binary64))) (patch #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) #s(approx (- 1 (/ 1/9 x)) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt #s(approx (- 1 (/ 1/9 x)) #s(literal 1 binary64)) (patch #s(approx (- 1 (/ 1/9 x)) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 #s(approx (- x (+ (* (* (sqrt x) y) 1/3) 1/9)) (*.f64 (*.f64 (sqrt.f64 x) y) #s(literal -1/3 binary64))) x)) (patch #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 #s(approx (- x (+ (* (* (sqrt x) y) 1/3) 1/9)) (*.f64 (*.f64 (sqrt.f64 x) y) #s(literal -1/3 binary64))) x)) #<representation binary64>) () ())
#s(alt (/.f64 #s(approx (- x (+ (* (* (sqrt x) y) 1/3) 1/9)) (*.f64 (*.f64 (sqrt.f64 x) y) #s(literal -1/3 binary64))) x) (patch (/.f64 #s(approx (- x (+ (* (* (sqrt x) y) 1/3) 1/9)) (*.f64 (*.f64 (sqrt.f64 x) y) #s(literal -1/3 binary64))) x) #<representation binary64>) () ())
#s(alt #s(approx (- x (+ (* (* (sqrt x) y) 1/3) 1/9)) (*.f64 (*.f64 (sqrt.f64 x) y) #s(literal -1/3 binary64))) (patch #s(approx (- x (+ (* (* (sqrt x) y) 1/3) 1/9)) (*.f64 (*.f64 (sqrt.f64 x) y) #s(literal -1/3 binary64))) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 (sqrt.f64 x) y) #s(literal -1/3 binary64)) (patch (*.f64 (*.f64 (sqrt.f64 x) y) #s(literal -1/3 binary64)) #<representation binary64>) () ())
#s(alt (-.f64 #s(approx (- 1 (/ 1 (* x 9))) (/.f64 #s(literal -1/9 binary64) x)) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) (patch (-.f64 #s(approx (- 1 (/ 1 (* x 9))) (/.f64 #s(literal -1/9 binary64) x)) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) #<representation binary64>) () ())
#s(alt #s(approx (- 1 (/ 1 (* x 9))) (/.f64 #s(literal -1/9 binary64) x)) (patch #s(approx (- 1 (/ 1 (* x 9))) (/.f64 #s(literal -1/9 binary64) x)) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal -1/9 binary64) x) (patch (/.f64 #s(literal -1/9 binary64) x) #<representation binary64>) () ())
#s(alt (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))) (patch (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))) #<representation binary64>) () ())
#s(alt (/.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) (patch (/.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) #<representation binary64>) () ())
#s(alt #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (*.f64 (sqrt.f64 x) #s(literal 3 binary64))))) (patch #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (*.f64 (sqrt.f64 x) #s(literal 3 binary64))))) #<representation binary64>) () ())
#s(alt (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (*.f64 (sqrt.f64 x) #s(literal 3 binary64)))) (patch (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (*.f64 (sqrt.f64 x) #s(literal 3 binary64)))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (patch (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) #<representation binary64>) () ())
#s(alt (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (patch (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) #<representation binary64>) () ())
#s(alt (*.f64 (sqrt.f64 x) y) (patch (*.f64 (sqrt.f64 x) y) #<representation binary64>) () ())
#s(alt (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) (patch (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) #<representation binary64>) () ())
Outputs
#s(alt (- 1 (* 1/9 (/ 1 x))) (taylor 0 y) (#s(alt (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -9 binary64))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) (patch (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -9 binary64))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) #<representation binary64>) () ())) ())
#s(alt (- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x))) (taylor 0 y) (#s(alt (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -9 binary64))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) (patch (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -9 binary64))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) #<representation binary64>) () ())) ())
#s(alt (- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x))) (taylor 0 y) (#s(alt (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -9 binary64))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) (patch (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -9 binary64))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) #<representation binary64>) () ())) ())
#s(alt (- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x))) (taylor 0 y) (#s(alt (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -9 binary64))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) (patch (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -9 binary64))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) #<representation binary64>) () ())) ())
#s(alt (- 1 (* 1/9 (/ 1 x))) (taylor 0 y) (#s(alt #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) #s(approx (- 1 (/ 1/9 x)) #s(literal 1 binary64))) (patch #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) #s(approx (- 1 (/ 1/9 x)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x))) (taylor 0 y) (#s(alt #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) #s(approx (- 1 (/ 1/9 x)) #s(literal 1 binary64))) (patch #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) #s(approx (- 1 (/ 1/9 x)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x))) (taylor 0 y) (#s(alt #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) #s(approx (- 1 (/ 1/9 x)) #s(literal 1 binary64))) (patch #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) #s(approx (- 1 (/ 1/9 x)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x))) (taylor 0 y) (#s(alt #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) #s(approx (- 1 (/ 1/9 x)) #s(literal 1 binary64))) (patch #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) #s(approx (- 1 (/ 1/9 x)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (- 1 (* 1/9 (/ 1 x))) (taylor 0 y) (#s(alt #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 #s(approx (- x (+ (* (* (sqrt x) y) 1/3) 1/9)) (*.f64 (*.f64 (sqrt.f64 x) y) #s(literal -1/3 binary64))) x)) (patch #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 #s(approx (- x (+ (* (* (sqrt x) y) 1/3) 1/9)) (*.f64 (*.f64 (sqrt.f64 x) y) #s(literal -1/3 binary64))) x)) #<representation binary64>) () ())) ())
#s(alt (- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x))) (taylor 0 y) (#s(alt #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 #s(approx (- x (+ (* (* (sqrt x) y) 1/3) 1/9)) (*.f64 (*.f64 (sqrt.f64 x) y) #s(literal -1/3 binary64))) x)) (patch #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 #s(approx (- x (+ (* (* (sqrt x) y) 1/3) 1/9)) (*.f64 (*.f64 (sqrt.f64 x) y) #s(literal -1/3 binary64))) x)) #<representation binary64>) () ())) ())
#s(alt (- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x))) (taylor 0 y) (#s(alt #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 #s(approx (- x (+ (* (* (sqrt x) y) 1/3) 1/9)) (*.f64 (*.f64 (sqrt.f64 x) y) #s(literal -1/3 binary64))) x)) (patch #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 #s(approx (- x (+ (* (* (sqrt x) y) 1/3) 1/9)) (*.f64 (*.f64 (sqrt.f64 x) y) #s(literal -1/3 binary64))) x)) #<representation binary64>) () ())) ())
#s(alt (- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x))) (taylor 0 y) (#s(alt #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 #s(approx (- x (+ (* (* (sqrt x) y) 1/3) 1/9)) (*.f64 (*.f64 (sqrt.f64 x) y) #s(literal -1/3 binary64))) x)) (patch #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 #s(approx (- x (+ (* (* (sqrt x) y) 1/3) 1/9)) (*.f64 (*.f64 (sqrt.f64 x) y) #s(literal -1/3 binary64))) x)) #<representation binary64>) () ())) ())
#s(alt (/ (- x 1/9) x) (taylor 0 y) (#s(alt (/.f64 #s(approx (- x (+ (* (* (sqrt x) y) 1/3) 1/9)) (*.f64 (*.f64 (sqrt.f64 x) y) #s(literal -1/3 binary64))) x) (patch (/.f64 #s(approx (- x (+ (* (* (sqrt x) y) 1/3) 1/9)) (*.f64 (*.f64 (sqrt.f64 x) y) #s(literal -1/3 binary64))) x) #<representation binary64>) () ())) ())
#s(alt (- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x))) (taylor 0 y) (#s(alt (/.f64 #s(approx (- x (+ (* (* (sqrt x) y) 1/3) 1/9)) (*.f64 (*.f64 (sqrt.f64 x) y) #s(literal -1/3 binary64))) x) (patch (/.f64 #s(approx (- x (+ (* (* (sqrt x) y) 1/3) 1/9)) (*.f64 (*.f64 (sqrt.f64 x) y) #s(literal -1/3 binary64))) x) #<representation binary64>) () ())) ())
#s(alt (- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x))) (taylor 0 y) (#s(alt (/.f64 #s(approx (- x (+ (* (* (sqrt x) y) 1/3) 1/9)) (*.f64 (*.f64 (sqrt.f64 x) y) #s(literal -1/3 binary64))) x) (patch (/.f64 #s(approx (- x (+ (* (* (sqrt x) y) 1/3) 1/9)) (*.f64 (*.f64 (sqrt.f64 x) y) #s(literal -1/3 binary64))) x) #<representation binary64>) () ())) ())
#s(alt (- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x))) (taylor 0 y) (#s(alt (/.f64 #s(approx (- x (+ (* (* (sqrt x) y) 1/3) 1/9)) (*.f64 (*.f64 (sqrt.f64 x) y) #s(literal -1/3 binary64))) x) (patch (/.f64 #s(approx (- x (+ (* (* (sqrt x) y) 1/3) 1/9)) (*.f64 (*.f64 (sqrt.f64 x) y) #s(literal -1/3 binary64))) x) #<representation binary64>) () ())) ())
#s(alt (- x 1/9) (taylor 0 y) (#s(alt #s(approx (- x (+ (* (* (sqrt x) y) 1/3) 1/9)) (*.f64 (*.f64 (sqrt.f64 x) y) #s(literal -1/3 binary64))) (patch #s(approx (- x (+ (* (* (sqrt x) y) 1/3) 1/9)) (*.f64 (*.f64 (sqrt.f64 x) y) #s(literal -1/3 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (+ x (* -1/3 (* (sqrt x) y))) 1/9) (taylor 0 y) (#s(alt #s(approx (- x (+ (* (* (sqrt x) y) 1/3) 1/9)) (*.f64 (*.f64 (sqrt.f64 x) y) #s(literal -1/3 binary64))) (patch #s(approx (- x (+ (* (* (sqrt x) y) 1/3) 1/9)) (*.f64 (*.f64 (sqrt.f64 x) y) #s(literal -1/3 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (+ x (* -1/3 (* (sqrt x) y))) 1/9) (taylor 0 y) (#s(alt #s(approx (- x (+ (* (* (sqrt x) y) 1/3) 1/9)) (*.f64 (*.f64 (sqrt.f64 x) y) #s(literal -1/3 binary64))) (patch #s(approx (- x (+ (* (* (sqrt x) y) 1/3) 1/9)) (*.f64 (*.f64 (sqrt.f64 x) y) #s(literal -1/3 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (+ x (* -1/3 (* (sqrt x) y))) 1/9) (taylor 0 y) (#s(alt #s(approx (- x (+ (* (* (sqrt x) y) 1/3) 1/9)) (*.f64 (*.f64 (sqrt.f64 x) y) #s(literal -1/3 binary64))) (patch #s(approx (- x (+ (* (* (sqrt x) y) 1/3) 1/9)) (*.f64 (*.f64 (sqrt.f64 x) y) #s(literal -1/3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1/3 (* (sqrt x) y)) (taylor 0 y) (#s(alt (*.f64 (*.f64 (sqrt.f64 x) y) #s(literal -1/3 binary64)) (patch (*.f64 (*.f64 (sqrt.f64 x) y) #s(literal -1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/3 (* (sqrt x) y)) (taylor 0 y) (#s(alt (*.f64 (*.f64 (sqrt.f64 x) y) #s(literal -1/3 binary64)) (patch (*.f64 (*.f64 (sqrt.f64 x) y) #s(literal -1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/3 (* (sqrt x) y)) (taylor 0 y) (#s(alt (*.f64 (*.f64 (sqrt.f64 x) y) #s(literal -1/3 binary64)) (patch (*.f64 (*.f64 (sqrt.f64 x) y) #s(literal -1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/3 (* (sqrt x) y)) (taylor 0 y) (#s(alt (*.f64 (*.f64 (sqrt.f64 x) y) #s(literal -1/3 binary64)) (patch (*.f64 (*.f64 (sqrt.f64 x) y) #s(literal -1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (- 1 (* 1/9 (/ 1 x))) (taylor 0 y) (#s(alt (-.f64 #s(approx (- 1 (/ 1 (* x 9))) (/.f64 #s(literal -1/9 binary64) x)) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) (patch (-.f64 #s(approx (- 1 (/ 1 (* x 9))) (/.f64 #s(literal -1/9 binary64) x)) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) #<representation binary64>) () ())) ())
#s(alt (- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x))) (taylor 0 y) (#s(alt (-.f64 #s(approx (- 1 (/ 1 (* x 9))) (/.f64 #s(literal -1/9 binary64) x)) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) (patch (-.f64 #s(approx (- 1 (/ 1 (* x 9))) (/.f64 #s(literal -1/9 binary64) x)) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) #<representation binary64>) () ())) ())
#s(alt (- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x))) (taylor 0 y) (#s(alt (-.f64 #s(approx (- 1 (/ 1 (* x 9))) (/.f64 #s(literal -1/9 binary64) x)) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) (patch (-.f64 #s(approx (- 1 (/ 1 (* x 9))) (/.f64 #s(literal -1/9 binary64) x)) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) #<representation binary64>) () ())) ())
#s(alt (- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x))) (taylor 0 y) (#s(alt (-.f64 #s(approx (- 1 (/ 1 (* x 9))) (/.f64 #s(literal -1/9 binary64) x)) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) (patch (-.f64 #s(approx (- 1 (/ 1 (* x 9))) (/.f64 #s(literal -1/9 binary64) x)) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (* (sqrt (/ 1 x)) y)) (taylor 0 y) (#s(alt (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))) (patch (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (* (sqrt (/ 1 x)) y)) (taylor 0 y) (#s(alt (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))) (patch (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (* (sqrt (/ 1 x)) y)) (taylor 0 y) (#s(alt (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))) (patch (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (* (sqrt (/ 1 x)) y)) (taylor 0 y) (#s(alt (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))) (patch (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))) #<representation binary64>) () ())) ())
#s(alt (- 1 (* 1/9 (/ 1 x))) (taylor 0 y) (#s(alt #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (*.f64 (sqrt.f64 x) #s(literal 3 binary64))))) (patch #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (*.f64 (sqrt.f64 x) #s(literal 3 binary64))))) #<representation binary64>) () ())) ())
#s(alt (- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x))) (taylor 0 y) (#s(alt #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (*.f64 (sqrt.f64 x) #s(literal 3 binary64))))) (patch #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (*.f64 (sqrt.f64 x) #s(literal 3 binary64))))) #<representation binary64>) () ())) ())
#s(alt (- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x))) (taylor 0 y) (#s(alt #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (*.f64 (sqrt.f64 x) #s(literal 3 binary64))))) (patch #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (*.f64 (sqrt.f64 x) #s(literal 3 binary64))))) #<representation binary64>) () ())) ())
#s(alt (- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x))) (taylor 0 y) (#s(alt #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (*.f64 (sqrt.f64 x) #s(literal 3 binary64))))) (patch #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (*.f64 (sqrt.f64 x) #s(literal 3 binary64))))) #<representation binary64>) () ())) ())
#s(alt (* (sqrt x) y) (taylor 0 y) (#s(alt (*.f64 (sqrt.f64 x) y) (patch (*.f64 (sqrt.f64 x) y) #<representation binary64>) () ())) ())
#s(alt (* (sqrt x) y) (taylor 0 y) (#s(alt (*.f64 (sqrt.f64 x) y) (patch (*.f64 (sqrt.f64 x) y) #<representation binary64>) () ())) ())
#s(alt (* (sqrt x) y) (taylor 0 y) (#s(alt (*.f64 (sqrt.f64 x) y) (patch (*.f64 (sqrt.f64 x) y) #<representation binary64>) () ())) ())
#s(alt (* (sqrt x) y) (taylor 0 y) (#s(alt (*.f64 (sqrt.f64 x) y) (patch (*.f64 (sqrt.f64 x) y) #<representation binary64>) () ())) ())
#s(alt (* -1/3 (* (sqrt (/ 1 x)) y)) (taylor inf y) (#s(alt (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -9 binary64))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) (patch (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -9 binary64))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) #<representation binary64>) () ())) ())
#s(alt (* y (- (/ 1 y) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/9 (* x y))))) (taylor inf y) (#s(alt (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -9 binary64))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) (patch (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -9 binary64))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) #<representation binary64>) () ())) ())
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#s(alt (- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x)))) (taylor -inf x) (#s(alt #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (*.f64 (sqrt.f64 x) #s(literal 3 binary64))))) (patch #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (*.f64 (sqrt.f64 x) #s(literal 3 binary64))))) #<representation binary64>) () ())) ())
#s(alt 1 (taylor -inf x) (#s(alt (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (*.f64 (sqrt.f64 x) #s(literal 3 binary64)))) (patch (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (*.f64 (sqrt.f64 x) #s(literal 3 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* 1/9 (/ 1 (* x (pow (sqrt -1) 2))))) (taylor -inf x) (#s(alt (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (*.f64 (sqrt.f64 x) #s(literal 3 binary64)))) (patch (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (*.f64 (sqrt.f64 x) #s(literal 3 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* 1/9 (/ 1 (* x (pow (sqrt -1) 2))))) (taylor -inf x) (#s(alt (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (*.f64 (sqrt.f64 x) #s(literal 3 binary64)))) (patch (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (*.f64 (sqrt.f64 x) #s(literal 3 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* 1/9 (/ 1 (* x (pow (sqrt -1) 2))))) (taylor -inf x) (#s(alt (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (*.f64 (sqrt.f64 x) #s(literal 3 binary64)))) (patch (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (*.f64 (sqrt.f64 x) #s(literal 3 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (sqrt (/ 1 x))) (taylor -inf x) (#s(alt (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (patch (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (sqrt (/ 1 x))) (taylor -inf x) (#s(alt (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (patch (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (sqrt (/ 1 x))) (taylor -inf x) (#s(alt (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (patch (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (sqrt (/ 1 x))) (taylor -inf x) (#s(alt (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (patch (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* -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 (* -1 (* (sqrt x) (* y (pow (sqrt -1) 2)))) (taylor -inf x) (#s(alt (*.f64 (sqrt.f64 x) y) (patch (*.f64 (sqrt.f64 x) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (sqrt x) (* y (pow (sqrt -1) 2)))) (taylor -inf x) (#s(alt (*.f64 (sqrt.f64 x) y) (patch (*.f64 (sqrt.f64 x) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (sqrt x) (* y (pow (sqrt -1) 2)))) (taylor -inf x) (#s(alt (*.f64 (sqrt.f64 x) y) (patch (*.f64 (sqrt.f64 x) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (sqrt x) (* y (pow (sqrt -1) 2)))) (taylor -inf x) (#s(alt (*.f64 (sqrt.f64 x) y) (patch (*.f64 (sqrt.f64 x) y) #<representation binary64>) () ())) ())
#s(alt (* -3 (* (sqrt x) (pow (sqrt -1) 2))) (taylor -inf x) (#s(alt (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) (patch (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -3 (* (sqrt x) (pow (sqrt -1) 2))) (taylor -inf x) (#s(alt (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) (patch (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -3 (* (sqrt x) (pow (sqrt -1) 2))) (taylor -inf x) (#s(alt (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) (patch (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -3 (* (sqrt x) (pow (sqrt -1) 2))) (taylor -inf x) (#s(alt (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) (patch (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
Calls

6 calls:

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

simplify120.0ms (1.4%)

Memory
-4.2MiB live, 189.0MiB allocated
Algorithm
egg-herbie
Rules
5 638×lower-fma.f64
5 638×lower-fma.f32
3 100×lower-*.f64
3 100×lower-*.f32
1 818×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0972996
12622989
27512989
323242977
461962977
082322824
Stop Event
iter limit
node limit
Counts
372 → 372
Calls
Call 1
Inputs
(- 1 (* 1/9 (/ 1 x)))
(- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))
(- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))
(- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))
(- 1 (* 1/9 (/ 1 x)))
(- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))
(- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))
(- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))
(- 1 (* 1/9 (/ 1 x)))
(- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))
(- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))
(- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))
(/ (- x 1/9) x)
(- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))
(- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))
(- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))
(- x 1/9)
(- (+ x (* -1/3 (* (sqrt x) y))) 1/9)
(- (+ x (* -1/3 (* (sqrt x) y))) 1/9)
(- (+ x (* -1/3 (* (sqrt x) y))) 1/9)
(* -1/3 (* (sqrt x) y))
(* -1/3 (* (sqrt x) y))
(* -1/3 (* (sqrt x) y))
(* -1/3 (* (sqrt x) y))
(- 1 (* 1/9 (/ 1 x)))
(- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))
(- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))
(- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))
(* 1/3 (* (sqrt (/ 1 x)) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(- 1 (* 1/9 (/ 1 x)))
(- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))
(- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))
(- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))
(* (sqrt x) y)
(* (sqrt x) y)
(* (sqrt x) y)
(* (sqrt x) y)
(* -1/3 (* (sqrt (/ 1 x)) y))
(* y (- (/ 1 y) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/9 (* x y)))))
(* y (- (/ 1 y) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/9 (* x y)))))
(* y (- (/ 1 y) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/9 (* x y)))))
(* -1/3 (* (sqrt (/ 1 x)) y))
(* y (- (/ 1 y) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/9 (* x y)))))
(* y (- (/ 1 y) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/9 (* x y)))))
(* y (- (/ 1 y) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/9 (* x y)))))
(* -1/3 (* (sqrt (/ 1 x)) y))
(* y (- (/ 1 y) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/9 (* x y)))))
(* y (- (/ 1 y) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/9 (* x y)))))
(* y (- (/ 1 y) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/9 (* x y)))))
(* -1/3 (* (sqrt (/ 1 x)) y))
(* y (- (+ (* -1/3 (sqrt (/ 1 x))) (/ 1 y)) (/ 1/9 (* x y))))
(* y (- (+ (* -1/3 (sqrt (/ 1 x))) (/ 1 y)) (/ 1/9 (* x y))))
(* y (- (+ (* -1/3 (sqrt (/ 1 x))) (/ 1 y)) (/ 1/9 (* x y))))
(* -1/3 (* (sqrt x) y))
(* y (- (/ x y) (+ (* 1/3 (sqrt x)) (* 1/9 (/ 1 y)))))
(* y (- (/ x y) (+ (* 1/3 (sqrt x)) (* 1/9 (/ 1 y)))))
(* y (- (/ x y) (+ (* 1/3 (sqrt x)) (* 1/9 (/ 1 y)))))
(* -1/3 (* (sqrt x) y))
(* -1/3 (* (sqrt x) y))
(* -1/3 (* (sqrt x) y))
(* -1/3 (* (sqrt x) y))
(* -1/3 (* (sqrt (/ 1 x)) y))
(* y (- (/ 1 y) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/9 (* x y)))))
(* y (- (/ 1 y) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/9 (* x y)))))
(* y (- (/ 1 y) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/9 (* x y)))))
(* 1/3 (* (sqrt (/ 1 x)) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(* -1/3 (* (sqrt (/ 1 x)) y))
(* y (- (/ 1 y) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/9 (* x y)))))
(* y (- (/ 1 y) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/9 (* x y)))))
(* y (- (/ 1 y) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/9 (* x y)))))
(* (sqrt x) y)
(* (sqrt x) y)
(* (sqrt x) y)
(* (sqrt x) y)
(* -1/3 (* (sqrt (/ 1 x)) y))
(* -1 (* y (- (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* -1/3 (sqrt (/ 1 x))))))
(* -1 (* y (- (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* -1/3 (sqrt (/ 1 x))))))
(* -1 (* y (- (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* -1/3 (sqrt (/ 1 x))))))
(* -1/3 (* (sqrt (/ 1 x)) y))
(* -1 (* y (- (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* -1/3 (sqrt (/ 1 x))))))
(* -1 (* y (- (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* -1/3 (sqrt (/ 1 x))))))
(* -1 (* y (- (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* -1/3 (sqrt (/ 1 x))))))
(* -1/3 (* (sqrt (/ 1 x)) y))
(* -1 (* y (- (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* -1/3 (sqrt (/ 1 x))))))
(* -1 (* y (- (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* -1/3 (sqrt (/ 1 x))))))
(* -1 (* y (- (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* -1/3 (sqrt (/ 1 x))))))
(* -1/3 (* (sqrt (/ 1 x)) y))
(* -1 (* y (+ (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* 1/3 (sqrt (/ 1 x))))))
(* -1 (* y (+ (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* 1/3 (sqrt (/ 1 x))))))
(* -1 (* y (+ (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* 1/3 (sqrt (/ 1 x))))))
(* -1/3 (* (sqrt x) y))
(* -1 (* y (- (* -1 (/ (- x 1/9) y)) (* -1/3 (sqrt x)))))
(* -1 (* y (- (* -1 (/ (- x 1/9) y)) (* -1/3 (sqrt x)))))
(* -1 (* y (- (* -1 (/ (- x 1/9) y)) (* -1/3 (sqrt x)))))
(* -1/3 (* (sqrt x) y))
(* -1/3 (* (sqrt x) y))
(* -1/3 (* (sqrt x) y))
(* -1/3 (* (sqrt x) y))
(* -1/3 (* (sqrt (/ 1 x)) y))
(* -1 (* y (- (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* -1/3 (sqrt (/ 1 x))))))
(* -1 (* y (- (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* -1/3 (sqrt (/ 1 x))))))
(* -1 (* y (- (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* -1/3 (sqrt (/ 1 x))))))
(* 1/3 (* (sqrt (/ 1 x)) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(* -1/3 (* (sqrt (/ 1 x)) y))
(* -1 (* y (- (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* -1/3 (sqrt (/ 1 x))))))
(* -1 (* y (- (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* -1/3 (sqrt (/ 1 x))))))
(* -1 (* y (- (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* -1/3 (sqrt (/ 1 x))))))
(* (sqrt x) y)
(* (sqrt x) y)
(* (sqrt x) y)
(* (sqrt x) y)
(/ 1/9 x)
(/ 1/9 x)
(/ 1/9 x)
(/ 1/9 x)
(* -1 (/ (+ 1/9 (* 1/3 (* (sqrt x) y))) x))
(/ (- x (+ 1/9 (* 1/3 (* (sqrt x) y)))) x)
(/ (- x (+ 1/9 (* 1/3 (* (sqrt x) y)))) x)
(/ (- x (+ 1/9 (* 1/3 (* (sqrt x) y)))) x)
(/ -1/9 x)
(/ (- x 1/9) x)
(/ (- x 1/9) x)
(/ (- x 1/9) x)
(/ -1 x)
(/ -1 x)
(/ -1 x)
(/ -1 x)
(* -1 (/ (+ 1/9 (* 1/3 (* (sqrt x) y))) x))
(/ (- x (+ 1/9 (* 1/3 (* (sqrt x) y)))) x)
(/ (- x (+ 1/9 (* 1/3 (* (sqrt x) y)))) x)
(/ (- x (+ 1/9 (* 1/3 (* (sqrt x) y)))) x)
(/ -1/9 x)
(/ (- x 1/9) x)
(/ (- x 1/9) x)
(/ (- x 1/9) x)
(* -1 (/ (+ 1/9 (* 1/3 (* (sqrt x) y))) x))
(/ (- x (+ 1/9 (* 1/3 (* (sqrt x) y)))) x)
(/ (- x (+ 1/9 (* 1/3 (* (sqrt x) y)))) x)
(/ (- x (+ 1/9 (* 1/3 (* (sqrt x) y)))) x)
(* -1 (/ (+ 1/9 (* 1/3 (* (sqrt x) y))) x))
(/ (+ x (* -1 (+ 1/9 (* 1/3 (* (sqrt x) y))))) x)
(/ (+ x (* -1 (+ 1/9 (* 1/3 (* (sqrt x) y))))) x)
(/ (+ x (* -1 (+ 1/9 (* 1/3 (* (sqrt x) y))))) x)
(* -1 (+ 1/9 (* 1/3 (* (sqrt x) y))))
(- x (+ 1/9 (* 1/3 (* (sqrt x) y))))
(- x (+ 1/9 (* 1/3 (* (sqrt x) y))))
(- x (+ 1/9 (* 1/3 (* (sqrt x) y))))
(* -1/3 (* (sqrt x) y))
(* -1/3 (* (sqrt x) y))
(* -1/3 (* (sqrt x) y))
(* -1/3 (* (sqrt x) y))
(* -1 (/ (+ 1/9 (* 1/3 (* (sqrt x) y))) x))
(/ (- x (+ 1/9 (* 1/3 (* (sqrt x) y)))) x)
(/ (- x (+ 1/9 (* 1/3 (* (sqrt x) y)))) x)
(/ (- x (+ 1/9 (* 1/3 (* (sqrt x) y)))) x)
(/ -1/9 x)
(/ (- x 1/9) x)
(/ (- x 1/9) x)
(/ (- x 1/9) x)
(/ -1/9 x)
(/ -1/9 x)
(/ -1/9 x)
(/ -1/9 x)
(* 1/3 (* (sqrt (/ 1 x)) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(/ 1/9 x)
(/ 1/9 x)
(/ 1/9 x)
(/ 1/9 x)
(* -1 (/ (+ 1/9 (* 1/3 (* (sqrt x) y))) x))
(/ (- x (+ 1/9 (* 1/3 (* (sqrt x) y)))) x)
(/ (- x (+ 1/9 (* 1/3 (* (sqrt x) y)))) x)
(/ (- x (+ 1/9 (* 1/3 (* (sqrt x) y)))) x)
(/ -1/9 x)
(/ (- x 1/9) x)
(/ (- x 1/9) x)
(/ (- x 1/9) x)
(* 1/3 (sqrt (/ 1 x)))
(* 1/3 (sqrt (/ 1 x)))
(* 1/3 (sqrt (/ 1 x)))
(* 1/3 (sqrt (/ 1 x)))
(* 3 (sqrt x))
(* 3 (sqrt x))
(* 3 (sqrt x))
(* 3 (sqrt x))
(* (sqrt x) y)
(* (sqrt x) y)
(* (sqrt x) y)
(* (sqrt x) y)
(* 3 (sqrt x))
(* 3 (sqrt x))
(* 3 (sqrt x))
(* 3 (sqrt x))
(/ 1/9 x)
(/ 1/9 x)
(/ 1/9 x)
(/ 1/9 x)
(- 1 (* 1/3 (* (sqrt (/ 1 x)) y)))
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))
1
(- 1 (* 1/9 (/ 1 x)))
(- 1 (* 1/9 (/ 1 x)))
(- 1 (* 1/9 (/ 1 x)))
(/ -1 x)
(/ -1 x)
(/ -1 x)
(/ -1 x)
(- 1 (* 1/3 (* (sqrt (/ 1 x)) y)))
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))
1
(- 1 (* 1/9 (/ 1 x)))
(- 1 (* 1/9 (/ 1 x)))
(- 1 (* 1/9 (/ 1 x)))
(- 1 (* 1/3 (* (sqrt (/ 1 x)) y)))
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))
(- 1 (* 1/3 (* (sqrt (/ 1 x)) y)))
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))
(* x (- 1 (* 1/3 (* (sqrt (/ 1 x)) y))))
(* x (- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x)))))
(* x (- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x)))))
(* x (- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x)))))
(* -1/3 (* (sqrt x) y))
(* -1/3 (* (sqrt x) y))
(* -1/3 (* (sqrt x) y))
(* -1/3 (* (sqrt x) y))
(- 1 (* 1/3 (* (sqrt (/ 1 x)) y)))
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))
1
(- 1 (* 1/9 (/ 1 x)))
(- 1 (* 1/9 (/ 1 x)))
(- 1 (* 1/9 (/ 1 x)))
(/ -1/9 x)
(/ -1/9 x)
(/ -1/9 x)
(/ -1/9 x)
(* 1/3 (* (sqrt (/ 1 x)) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(/ 1/9 x)
(/ 1/9 x)
(/ 1/9 x)
(/ 1/9 x)
(- 1 (* 1/3 (* (sqrt (/ 1 x)) y)))
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))
1
(- 1 (* 1/9 (/ 1 x)))
(- 1 (* 1/9 (/ 1 x)))
(- 1 (* 1/9 (/ 1 x)))
(* 1/3 (sqrt (/ 1 x)))
(* 1/3 (sqrt (/ 1 x)))
(* 1/3 (sqrt (/ 1 x)))
(* 1/3 (sqrt (/ 1 x)))
(* 3 (sqrt x))
(* 3 (sqrt x))
(* 3 (sqrt x))
(* 3 (sqrt x))
(* (sqrt x) y)
(* (sqrt x) y)
(* (sqrt x) y)
(* (sqrt x) y)
(* 3 (sqrt x))
(* 3 (sqrt x))
(* 3 (sqrt x))
(* 3 (sqrt x))
(/ 1/9 x)
(/ 1/9 x)
(/ 1/9 x)
(/ 1/9 x)
(- 1 (* 1/3 (* (sqrt (/ 1 x)) y)))
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))
1
(- 1 (* 1/9 (/ 1 x)))
(- 1 (* 1/9 (/ 1 x)))
(- 1 (* 1/9 (/ 1 x)))
(/ -1 x)
(/ -1 x)
(/ -1 x)
(/ -1 x)
(- 1 (* 1/3 (* (sqrt (/ 1 x)) y)))
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))
1
(- 1 (* 1/9 (/ 1 x)))
(- 1 (* 1/9 (/ 1 x)))
(- 1 (* 1/9 (/ 1 x)))
(- 1 (* 1/3 (* (sqrt (/ 1 x)) y)))
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))
(+ 1 (* 1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))
(- (+ 1 (* 1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))) (* 1/9 (/ 1 x)))
(- (+ 1 (* 1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))) (* 1/9 (/ 1 x)))
(- (+ 1 (* 1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))) (* 1/9 (/ 1 x)))
(* x (+ 1 (* 1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))))
(* -1 (* x (- (* 1/9 (/ 1 x)) (+ 1 (* 1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))))))
(* -1 (* x (- (* 1/9 (/ 1 x)) (+ 1 (* 1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))))))
(* -1 (* x (- (* 1/9 (/ 1 x)) (+ 1 (* 1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))))))
(* 1/3 (* (sqrt x) (* y (pow (sqrt -1) 2))))
(* 1/3 (* (sqrt x) (* y (pow (sqrt -1) 2))))
(* 1/3 (* (sqrt x) (* y (pow (sqrt -1) 2))))
(* 1/3 (* (sqrt x) (* y (pow (sqrt -1) 2))))
(- 1 (* 1/3 (* (sqrt (/ 1 x)) y)))
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))
1
(- 1 (* 1/9 (/ 1 x)))
(- 1 (* 1/9 (/ 1 x)))
(- 1 (* 1/9 (/ 1 x)))
(/ -1/9 x)
(/ -1/9 x)
(/ -1/9 x)
(/ -1/9 x)
(* 1/3 (* (sqrt (/ 1 x)) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(/ -1/9 (* x (pow (sqrt -1) 2)))
(/ -1/9 (* x (pow (sqrt -1) 2)))
(/ -1/9 (* x (pow (sqrt -1) 2)))
(/ -1/9 (* x (pow (sqrt -1) 2)))
(- 1 (* 1/3 (* (sqrt (/ 1 x)) y)))
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))
1
(+ 1 (* 1/9 (/ 1 (* x (pow (sqrt -1) 2)))))
(+ 1 (* 1/9 (/ 1 (* x (pow (sqrt -1) 2)))))
(+ 1 (* 1/9 (/ 1 (* x (pow (sqrt -1) 2)))))
(* 1/3 (sqrt (/ 1 x)))
(* 1/3 (sqrt (/ 1 x)))
(* 1/3 (sqrt (/ 1 x)))
(* 1/3 (sqrt (/ 1 x)))
(* -3 (* (sqrt x) (pow (sqrt -1) 2)))
(* -3 (* (sqrt x) (pow (sqrt -1) 2)))
(* -3 (* (sqrt x) (pow (sqrt -1) 2)))
(* -3 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* (sqrt x) (* y (pow (sqrt -1) 2))))
(* -1 (* (sqrt x) (* y (pow (sqrt -1) 2))))
(* -1 (* (sqrt x) (* y (pow (sqrt -1) 2))))
(* -1 (* (sqrt x) (* y (pow (sqrt -1) 2))))
(* -3 (* (sqrt x) (pow (sqrt -1) 2)))
(* -3 (* (sqrt x) (pow (sqrt -1) 2)))
(* -3 (* (sqrt x) (pow (sqrt -1) 2)))
(* -3 (* (sqrt x) (pow (sqrt -1) 2)))
Outputs
(- 1 (* 1/9 (/ 1 x)))
(/.f64 (-.f64 x #s(literal 1/9 binary64)) x)
(- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))
(fma.f64 (*.f64 y #s(literal -1/3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 (-.f64 x #s(literal 1/9 binary64)) x))
(- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))
(fma.f64 (*.f64 y #s(literal -1/3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 (-.f64 x #s(literal 1/9 binary64)) x))
(- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))
(fma.f64 (*.f64 y #s(literal -1/3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 (-.f64 x #s(literal 1/9 binary64)) x))
(- 1 (* 1/9 (/ 1 x)))
(/.f64 (-.f64 x #s(literal 1/9 binary64)) x)
(- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))
(fma.f64 (*.f64 y #s(literal -1/3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 (-.f64 x #s(literal 1/9 binary64)) x))
(- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))
(fma.f64 (*.f64 y #s(literal -1/3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 (-.f64 x #s(literal 1/9 binary64)) x))
(- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))
(fma.f64 (*.f64 y #s(literal -1/3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 (-.f64 x #s(literal 1/9 binary64)) x))
(- 1 (* 1/9 (/ 1 x)))
(/.f64 (-.f64 x #s(literal 1/9 binary64)) x)
(- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))
(fma.f64 (*.f64 y #s(literal -1/3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 (-.f64 x #s(literal 1/9 binary64)) x))
(- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))
(fma.f64 (*.f64 y #s(literal -1/3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 (-.f64 x #s(literal 1/9 binary64)) x))
(- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))
(fma.f64 (*.f64 y #s(literal -1/3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 (-.f64 x #s(literal 1/9 binary64)) x))
(/ (- x 1/9) x)
(/.f64 (-.f64 x #s(literal 1/9 binary64)) x)
(- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))
(fma.f64 (*.f64 y #s(literal -1/3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 (-.f64 x #s(literal 1/9 binary64)) x))
(- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))
(fma.f64 (*.f64 y #s(literal -1/3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 (-.f64 x #s(literal 1/9 binary64)) x))
(- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))
(fma.f64 (*.f64 y #s(literal -1/3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 (-.f64 x #s(literal 1/9 binary64)) x))
(- x 1/9)
(-.f64 x #s(literal 1/9 binary64))
(- (+ x (* -1/3 (* (sqrt x) y))) 1/9)
(fma.f64 (*.f64 (sqrt.f64 x) #s(literal -1/3 binary64)) y (-.f64 x #s(literal 1/9 binary64)))
(- (+ x (* -1/3 (* (sqrt x) y))) 1/9)
(fma.f64 (*.f64 (sqrt.f64 x) #s(literal -1/3 binary64)) y (-.f64 x #s(literal 1/9 binary64)))
(- (+ x (* -1/3 (* (sqrt x) y))) 1/9)
(fma.f64 (*.f64 (sqrt.f64 x) #s(literal -1/3 binary64)) y (-.f64 x #s(literal 1/9 binary64)))
(* -1/3 (* (sqrt x) y))
(*.f64 (*.f64 (sqrt.f64 x) y) #s(literal -1/3 binary64))
(* -1/3 (* (sqrt x) y))
(*.f64 (*.f64 (sqrt.f64 x) y) #s(literal -1/3 binary64))
(* -1/3 (* (sqrt x) y))
(*.f64 (*.f64 (sqrt.f64 x) y) #s(literal -1/3 binary64))
(* -1/3 (* (sqrt x) y))
(*.f64 (*.f64 (sqrt.f64 x) y) #s(literal -1/3 binary64))
(- 1 (* 1/9 (/ 1 x)))
(/.f64 (-.f64 x #s(literal 1/9 binary64)) x)
(- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))
(fma.f64 (*.f64 y #s(literal -1/3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 (-.f64 x #s(literal 1/9 binary64)) x))
(- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))
(fma.f64 (*.f64 y #s(literal -1/3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 (-.f64 x #s(literal 1/9 binary64)) x))
(- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))
(fma.f64 (*.f64 y #s(literal -1/3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 (-.f64 x #s(literal 1/9 binary64)) x))
(* 1/3 (* (sqrt (/ 1 x)) y))
(*.f64 (*.f64 #s(literal 1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(* 1/3 (* (sqrt (/ 1 x)) y))
(*.f64 (*.f64 #s(literal 1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(* 1/3 (* (sqrt (/ 1 x)) y))
(*.f64 (*.f64 #s(literal 1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(* 1/3 (* (sqrt (/ 1 x)) y))
(*.f64 (*.f64 #s(literal 1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(- 1 (* 1/9 (/ 1 x)))
(/.f64 (-.f64 x #s(literal 1/9 binary64)) x)
(- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))
(fma.f64 (*.f64 y #s(literal -1/3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 (-.f64 x #s(literal 1/9 binary64)) x))
(- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))
(fma.f64 (*.f64 y #s(literal -1/3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 (-.f64 x #s(literal 1/9 binary64)) x))
(- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))
(fma.f64 (*.f64 y #s(literal -1/3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 (-.f64 x #s(literal 1/9 binary64)) x))
(* (sqrt x) y)
(*.f64 (sqrt.f64 x) y)
(* (sqrt x) y)
(*.f64 (sqrt.f64 x) y)
(* (sqrt x) y)
(*.f64 (sqrt.f64 x) y)
(* (sqrt x) y)
(*.f64 (sqrt.f64 x) y)
(* -1/3 (* (sqrt (/ 1 x)) y))
(*.f64 (*.f64 y #s(literal -1/3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(* y (- (/ 1 y) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/9 (* x y)))))
(fma.f64 (*.f64 y #s(literal -1/3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 (-.f64 x #s(literal 1/9 binary64)) x))
(* y (- (/ 1 y) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/9 (* x y)))))
(fma.f64 (*.f64 y #s(literal -1/3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 (-.f64 x #s(literal 1/9 binary64)) x))
(* y (- (/ 1 y) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/9 (* x y)))))
(fma.f64 (*.f64 y #s(literal -1/3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 (-.f64 x #s(literal 1/9 binary64)) x))
(* -1/3 (* (sqrt (/ 1 x)) y))
(*.f64 (*.f64 y #s(literal -1/3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(* y (- (/ 1 y) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/9 (* x y)))))
(fma.f64 (*.f64 y #s(literal -1/3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 (-.f64 x #s(literal 1/9 binary64)) x))
(* y (- (/ 1 y) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/9 (* x y)))))
(fma.f64 (*.f64 y #s(literal -1/3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 (-.f64 x #s(literal 1/9 binary64)) x))
(* y (- (/ 1 y) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/9 (* x y)))))
(fma.f64 (*.f64 y #s(literal -1/3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 (-.f64 x #s(literal 1/9 binary64)) x))
(* -1/3 (* (sqrt (/ 1 x)) y))
(*.f64 (*.f64 y #s(literal -1/3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(* y (- (/ 1 y) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/9 (* x y)))))
(fma.f64 (*.f64 y #s(literal -1/3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 (-.f64 x #s(literal 1/9 binary64)) x))
(* y (- (/ 1 y) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/9 (* x y)))))
(fma.f64 (*.f64 y #s(literal -1/3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 (-.f64 x #s(literal 1/9 binary64)) x))
(* y (- (/ 1 y) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/9 (* x y)))))
(fma.f64 (*.f64 y #s(literal -1/3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 (-.f64 x #s(literal 1/9 binary64)) x))
(* -1/3 (* (sqrt (/ 1 x)) y))
(*.f64 (*.f64 y #s(literal -1/3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(* y (- (+ (* -1/3 (sqrt (/ 1 x))) (/ 1 y)) (/ 1/9 (* x y))))
(fma.f64 (*.f64 y #s(literal -1/3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 (-.f64 x #s(literal 1/9 binary64)) x))
(* y (- (+ (* -1/3 (sqrt (/ 1 x))) (/ 1 y)) (/ 1/9 (* x y))))
(fma.f64 (*.f64 y #s(literal -1/3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 (-.f64 x #s(literal 1/9 binary64)) x))
(* y (- (+ (* -1/3 (sqrt (/ 1 x))) (/ 1 y)) (/ 1/9 (* x y))))
(fma.f64 (*.f64 y #s(literal -1/3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 (-.f64 x #s(literal 1/9 binary64)) x))
(* -1/3 (* (sqrt x) y))
(*.f64 (*.f64 (sqrt.f64 x) y) #s(literal -1/3 binary64))
(* y (- (/ x y) (+ (* 1/3 (sqrt x)) (* 1/9 (/ 1 y)))))
(fma.f64 (*.f64 (sqrt.f64 x) #s(literal -1/3 binary64)) y (-.f64 x #s(literal 1/9 binary64)))
(* y (- (/ x y) (+ (* 1/3 (sqrt x)) (* 1/9 (/ 1 y)))))
(fma.f64 (*.f64 (sqrt.f64 x) #s(literal -1/3 binary64)) y (-.f64 x #s(literal 1/9 binary64)))
(* y (- (/ x y) (+ (* 1/3 (sqrt x)) (* 1/9 (/ 1 y)))))
(fma.f64 (*.f64 (sqrt.f64 x) #s(literal -1/3 binary64)) y (-.f64 x #s(literal 1/9 binary64)))
(* -1/3 (* (sqrt x) y))
(*.f64 (*.f64 (sqrt.f64 x) y) #s(literal -1/3 binary64))
(* -1/3 (* (sqrt x) y))
(*.f64 (*.f64 (sqrt.f64 x) y) #s(literal -1/3 binary64))
(* -1/3 (* (sqrt x) y))
(*.f64 (*.f64 (sqrt.f64 x) y) #s(literal -1/3 binary64))
(* -1/3 (* (sqrt x) y))
(*.f64 (*.f64 (sqrt.f64 x) y) #s(literal -1/3 binary64))
(* -1/3 (* (sqrt (/ 1 x)) y))
(*.f64 (*.f64 y #s(literal -1/3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(* y (- (/ 1 y) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/9 (* x y)))))
(fma.f64 (*.f64 y #s(literal -1/3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 (-.f64 x #s(literal 1/9 binary64)) x))
(* y (- (/ 1 y) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/9 (* x y)))))
(fma.f64 (*.f64 y #s(literal -1/3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 (-.f64 x #s(literal 1/9 binary64)) x))
(* y (- (/ 1 y) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/9 (* x y)))))
(fma.f64 (*.f64 y #s(literal -1/3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 (-.f64 x #s(literal 1/9 binary64)) x))
(* 1/3 (* (sqrt (/ 1 x)) y))
(*.f64 (*.f64 #s(literal 1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(* 1/3 (* (sqrt (/ 1 x)) y))
(*.f64 (*.f64 #s(literal 1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(* 1/3 (* (sqrt (/ 1 x)) y))
(*.f64 (*.f64 #s(literal 1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(* 1/3 (* (sqrt (/ 1 x)) y))
(*.f64 (*.f64 #s(literal 1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(* -1/3 (* (sqrt (/ 1 x)) y))
(*.f64 (*.f64 y #s(literal -1/3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(* y (- (/ 1 y) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/9 (* x y)))))
(fma.f64 (*.f64 y #s(literal -1/3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 (-.f64 x #s(literal 1/9 binary64)) x))
(* y (- (/ 1 y) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/9 (* x y)))))
(fma.f64 (*.f64 y #s(literal -1/3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 (-.f64 x #s(literal 1/9 binary64)) x))
(* y (- (/ 1 y) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/9 (* x y)))))
(fma.f64 (*.f64 y #s(literal -1/3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 (-.f64 x #s(literal 1/9 binary64)) x))
(* (sqrt x) y)
(*.f64 (sqrt.f64 x) y)
(* (sqrt x) y)
(*.f64 (sqrt.f64 x) y)
(* (sqrt x) y)
(*.f64 (sqrt.f64 x) y)
(* (sqrt x) y)
(*.f64 (sqrt.f64 x) y)
(* -1/3 (* (sqrt (/ 1 x)) y))
(*.f64 (*.f64 y #s(literal -1/3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(* -1 (* y (- (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* -1/3 (sqrt (/ 1 x))))))
(fma.f64 (*.f64 y #s(literal -1/3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 (-.f64 x #s(literal 1/9 binary64)) x))
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(fma.f64 (*.f64 y #s(literal -1/3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 (-.f64 x #s(literal 1/9 binary64)) x))
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))
(fma.f64 (*.f64 y #s(literal -1/3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 (-.f64 x #s(literal 1/9 binary64)) x))
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))
(fma.f64 (*.f64 y #s(literal -1/3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 (-.f64 x #s(literal 1/9 binary64)) x))
(* x (- 1 (* 1/3 (* (sqrt (/ 1 x)) y))))
(fma.f64 (*.f64 (*.f64 y #s(literal -1/3 binary64)) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) x)
(* x (- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x)))))
(fma.f64 (fma.f64 (*.f64 y #s(literal -1/3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) x #s(literal -1/9 binary64))
(* x (- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x)))))
(fma.f64 (fma.f64 (*.f64 y #s(literal -1/3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) x #s(literal -1/9 binary64))
(* x (- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x)))))
(fma.f64 (fma.f64 (*.f64 y #s(literal -1/3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) x #s(literal -1/9 binary64))
(* -1/3 (* (sqrt x) y))
(*.f64 (*.f64 (sqrt.f64 x) y) #s(literal -1/3 binary64))
(* -1/3 (* (sqrt x) y))
(*.f64 (*.f64 (sqrt.f64 x) y) #s(literal -1/3 binary64))
(* -1/3 (* (sqrt x) y))
(*.f64 (*.f64 (sqrt.f64 x) y) #s(literal -1/3 binary64))
(* -1/3 (* (sqrt x) y))
(*.f64 (*.f64 (sqrt.f64 x) y) #s(literal -1/3 binary64))
(- 1 (* 1/3 (* (sqrt (/ 1 x)) y)))
(fma.f64 (*.f64 y #s(literal -1/3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))
(fma.f64 (*.f64 y #s(literal -1/3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 (-.f64 x #s(literal 1/9 binary64)) x))
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))
(fma.f64 (*.f64 y #s(literal -1/3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 (-.f64 x #s(literal 1/9 binary64)) x))
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))
(fma.f64 (*.f64 y #s(literal -1/3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 (-.f64 x #s(literal 1/9 binary64)) x))
1
#s(literal 1 binary64)
(- 1 (* 1/9 (/ 1 x)))
(/.f64 (-.f64 x #s(literal 1/9 binary64)) x)
(- 1 (* 1/9 (/ 1 x)))
(/.f64 (-.f64 x #s(literal 1/9 binary64)) x)
(- 1 (* 1/9 (/ 1 x)))
(/.f64 (-.f64 x #s(literal 1/9 binary64)) x)
(/ -1/9 x)
(/.f64 #s(literal -1/9 binary64) x)
(/ -1/9 x)
(/.f64 #s(literal -1/9 binary64) x)
(/ -1/9 x)
(/.f64 #s(literal -1/9 binary64) x)
(/ -1/9 x)
(/.f64 #s(literal -1/9 binary64) x)
(* 1/3 (* (sqrt (/ 1 x)) y))
(*.f64 (*.f64 #s(literal 1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(* 1/3 (* (sqrt (/ 1 x)) y))
(*.f64 (*.f64 #s(literal 1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(* 1/3 (* (sqrt (/ 1 x)) y))
(*.f64 (*.f64 #s(literal 1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(* 1/3 (* (sqrt (/ 1 x)) y))
(*.f64 (*.f64 #s(literal 1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 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 (* 1/3 (* (sqrt (/ 1 x)) y)))
(fma.f64 (*.f64 y #s(literal -1/3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))
(fma.f64 (*.f64 y #s(literal -1/3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 (-.f64 x #s(literal 1/9 binary64)) x))
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))
(fma.f64 (*.f64 y #s(literal -1/3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 (-.f64 x #s(literal 1/9 binary64)) x))
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))
(fma.f64 (*.f64 y #s(literal -1/3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 (-.f64 x #s(literal 1/9 binary64)) x))
1
#s(literal 1 binary64)
(- 1 (* 1/9 (/ 1 x)))
(/.f64 (-.f64 x #s(literal 1/9 binary64)) x)
(- 1 (* 1/9 (/ 1 x)))
(/.f64 (-.f64 x #s(literal 1/9 binary64)) x)
(- 1 (* 1/9 (/ 1 x)))
(/.f64 (-.f64 x #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 (/ 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)))
(* 3 (sqrt x))
(*.f64 #s(literal 3 binary64) (sqrt.f64 x))
(* 3 (sqrt x))
(*.f64 #s(literal 3 binary64) (sqrt.f64 x))
(* 3 (sqrt x))
(*.f64 #s(literal 3 binary64) (sqrt.f64 x))
(* 3 (sqrt x))
(*.f64 #s(literal 3 binary64) (sqrt.f64 x))
(* (sqrt x) y)
(*.f64 (sqrt.f64 x) y)
(* (sqrt x) y)
(*.f64 (sqrt.f64 x) y)
(* (sqrt x) y)
(*.f64 (sqrt.f64 x) y)
(* (sqrt x) y)
(*.f64 (sqrt.f64 x) y)
(* 3 (sqrt x))
(*.f64 #s(literal 3 binary64) (sqrt.f64 x))
(* 3 (sqrt x))
(*.f64 #s(literal 3 binary64) (sqrt.f64 x))
(* 3 (sqrt x))
(*.f64 #s(literal 3 binary64) (sqrt.f64 x))
(* 3 (sqrt x))
(*.f64 #s(literal 3 binary64) (sqrt.f64 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 (* 1/3 (* (sqrt (/ 1 x)) y)))
(fma.f64 (*.f64 y #s(literal -1/3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))
(fma.f64 (*.f64 y #s(literal -1/3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 (-.f64 x #s(literal 1/9 binary64)) x))
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))
(fma.f64 (*.f64 y #s(literal -1/3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 (-.f64 x #s(literal 1/9 binary64)) x))
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))
(fma.f64 (*.f64 y #s(literal -1/3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 (-.f64 x #s(literal 1/9 binary64)) x))
1
#s(literal 1 binary64)
(- 1 (* 1/9 (/ 1 x)))
(/.f64 (-.f64 x #s(literal 1/9 binary64)) x)
(- 1 (* 1/9 (/ 1 x)))
(/.f64 (-.f64 x #s(literal 1/9 binary64)) x)
(- 1 (* 1/9 (/ 1 x)))
(/.f64 (-.f64 x #s(literal 1/9 binary64)) x)
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(- 1 (* 1/3 (* (sqrt (/ 1 x)) y)))
(fma.f64 (*.f64 y #s(literal -1/3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))
(fma.f64 (*.f64 y #s(literal -1/3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 (-.f64 x #s(literal 1/9 binary64)) x))
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))
(fma.f64 (*.f64 y #s(literal -1/3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 (-.f64 x #s(literal 1/9 binary64)) x))
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))
(fma.f64 (*.f64 y #s(literal -1/3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 (-.f64 x #s(literal 1/9 binary64)) x))
1
#s(literal 1 binary64)
(- 1 (* 1/9 (/ 1 x)))
(/.f64 (-.f64 x #s(literal 1/9 binary64)) x)
(- 1 (* 1/9 (/ 1 x)))
(/.f64 (-.f64 x #s(literal 1/9 binary64)) x)
(- 1 (* 1/9 (/ 1 x)))
(/.f64 (-.f64 x #s(literal 1/9 binary64)) x)
(- 1 (* 1/3 (* (sqrt (/ 1 x)) y)))
(fma.f64 (*.f64 y #s(literal -1/3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))
(fma.f64 (*.f64 y #s(literal -1/3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 (-.f64 x #s(literal 1/9 binary64)) x))
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))
(fma.f64 (*.f64 y #s(literal -1/3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 (-.f64 x #s(literal 1/9 binary64)) x))
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))
(fma.f64 (*.f64 y #s(literal -1/3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 (-.f64 x #s(literal 1/9 binary64)) x))
(+ 1 (* 1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))
(fma.f64 (*.f64 y #s(literal -1/3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
(- (+ 1 (* 1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))) (* 1/9 (/ 1 x)))
(fma.f64 (*.f64 y #s(literal -1/3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 (-.f64 x #s(literal 1/9 binary64)) x))
(- (+ 1 (* 1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))) (* 1/9 (/ 1 x)))
(fma.f64 (*.f64 y #s(literal -1/3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 (-.f64 x #s(literal 1/9 binary64)) x))
(- (+ 1 (* 1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))) (* 1/9 (/ 1 x)))
(fma.f64 (*.f64 y #s(literal -1/3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 (-.f64 x #s(literal 1/9 binary64)) x))
(* x (+ 1 (* 1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))))
(fma.f64 (*.f64 (*.f64 y #s(literal -1/3 binary64)) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) x)
(* -1 (* x (- (* 1/9 (/ 1 x)) (+ 1 (* 1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))))))
(fma.f64 (fma.f64 (*.f64 y #s(literal -1/3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) x #s(literal -1/9 binary64))
(* -1 (* x (- (* 1/9 (/ 1 x)) (+ 1 (* 1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))))))
(fma.f64 (fma.f64 (*.f64 y #s(literal -1/3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) x #s(literal -1/9 binary64))
(* -1 (* x (- (* 1/9 (/ 1 x)) (+ 1 (* 1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))))))
(fma.f64 (fma.f64 (*.f64 y #s(literal -1/3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) x #s(literal -1/9 binary64))
(* 1/3 (* (sqrt x) (* y (pow (sqrt -1) 2))))
(*.f64 (*.f64 (sqrt.f64 x) y) #s(literal -1/3 binary64))
(* 1/3 (* (sqrt x) (* y (pow (sqrt -1) 2))))
(*.f64 (*.f64 (sqrt.f64 x) y) #s(literal -1/3 binary64))
(* 1/3 (* (sqrt x) (* y (pow (sqrt -1) 2))))
(*.f64 (*.f64 (sqrt.f64 x) y) #s(literal -1/3 binary64))
(* 1/3 (* (sqrt x) (* y (pow (sqrt -1) 2))))
(*.f64 (*.f64 (sqrt.f64 x) y) #s(literal -1/3 binary64))
(- 1 (* 1/3 (* (sqrt (/ 1 x)) y)))
(fma.f64 (*.f64 y #s(literal -1/3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))
(fma.f64 (*.f64 y #s(literal -1/3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 (-.f64 x #s(literal 1/9 binary64)) x))
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))
(fma.f64 (*.f64 y #s(literal -1/3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 (-.f64 x #s(literal 1/9 binary64)) x))
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))
(fma.f64 (*.f64 y #s(literal -1/3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 (-.f64 x #s(literal 1/9 binary64)) x))
1
#s(literal 1 binary64)
(- 1 (* 1/9 (/ 1 x)))
(/.f64 (-.f64 x #s(literal 1/9 binary64)) x)
(- 1 (* 1/9 (/ 1 x)))
(/.f64 (-.f64 x #s(literal 1/9 binary64)) x)
(- 1 (* 1/9 (/ 1 x)))
(/.f64 (-.f64 x #s(literal 1/9 binary64)) x)
(/ -1/9 x)
(/.f64 #s(literal -1/9 binary64) x)
(/ -1/9 x)
(/.f64 #s(literal -1/9 binary64) x)
(/ -1/9 x)
(/.f64 #s(literal -1/9 binary64) x)
(/ -1/9 x)
(/.f64 #s(literal -1/9 binary64) x)
(* 1/3 (* (sqrt (/ 1 x)) y))
(*.f64 (*.f64 #s(literal 1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(* 1/3 (* (sqrt (/ 1 x)) y))
(*.f64 (*.f64 #s(literal 1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(* 1/3 (* (sqrt (/ 1 x)) y))
(*.f64 (*.f64 #s(literal 1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(* 1/3 (* (sqrt (/ 1 x)) y))
(*.f64 (*.f64 #s(literal 1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(/ -1/9 (* x (pow (sqrt -1) 2)))
(/.f64 #s(literal 1/9 binary64) x)
(/ -1/9 (* x (pow (sqrt -1) 2)))
(/.f64 #s(literal 1/9 binary64) x)
(/ -1/9 (* x (pow (sqrt -1) 2)))
(/.f64 #s(literal 1/9 binary64) x)
(/ -1/9 (* x (pow (sqrt -1) 2)))
(/.f64 #s(literal 1/9 binary64) x)
(- 1 (* 1/3 (* (sqrt (/ 1 x)) y)))
(fma.f64 (*.f64 y #s(literal -1/3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))
(fma.f64 (*.f64 y #s(literal -1/3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 (-.f64 x #s(literal 1/9 binary64)) x))
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))
(fma.f64 (*.f64 y #s(literal -1/3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 (-.f64 x #s(literal 1/9 binary64)) x))
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))
(fma.f64 (*.f64 y #s(literal -1/3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 (-.f64 x #s(literal 1/9 binary64)) x))
1
#s(literal 1 binary64)
(+ 1 (* 1/9 (/ 1 (* x (pow (sqrt -1) 2)))))
(/.f64 (-.f64 x #s(literal 1/9 binary64)) x)
(+ 1 (* 1/9 (/ 1 (* x (pow (sqrt -1) 2)))))
(/.f64 (-.f64 x #s(literal 1/9 binary64)) x)
(+ 1 (* 1/9 (/ 1 (* x (pow (sqrt -1) 2)))))
(/.f64 (-.f64 x #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 (/ 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)))
(* -3 (* (sqrt x) (pow (sqrt -1) 2)))
(*.f64 #s(literal 3 binary64) (sqrt.f64 x))
(* -3 (* (sqrt x) (pow (sqrt -1) 2)))
(*.f64 #s(literal 3 binary64) (sqrt.f64 x))
(* -3 (* (sqrt x) (pow (sqrt -1) 2)))
(*.f64 #s(literal 3 binary64) (sqrt.f64 x))
(* -3 (* (sqrt x) (pow (sqrt -1) 2)))
(*.f64 #s(literal 3 binary64) (sqrt.f64 x))
(* -1 (* (sqrt x) (* y (pow (sqrt -1) 2))))
(*.f64 (sqrt.f64 x) y)
(* -1 (* (sqrt x) (* y (pow (sqrt -1) 2))))
(*.f64 (sqrt.f64 x) y)
(* -1 (* (sqrt x) (* y (pow (sqrt -1) 2))))
(*.f64 (sqrt.f64 x) y)
(* -1 (* (sqrt x) (* y (pow (sqrt -1) 2))))
(*.f64 (sqrt.f64 x) y)
(* -3 (* (sqrt x) (pow (sqrt -1) 2)))
(*.f64 #s(literal 3 binary64) (sqrt.f64 x))
(* -3 (* (sqrt x) (pow (sqrt -1) 2)))
(*.f64 #s(literal 3 binary64) (sqrt.f64 x))
(* -3 (* (sqrt x) (pow (sqrt -1) 2)))
(*.f64 #s(literal 3 binary64) (sqrt.f64 x))
(* -3 (* (sqrt x) (pow (sqrt -1) 2)))
(*.f64 #s(literal 3 binary64) (sqrt.f64 x))

rewrite171.0ms (2.1%)

Memory
-14.0MiB live, 318.2MiB allocated
Rules
8 086×lower-fma.f64
8 086×lower-fma.f32
3 690×lower-/.f32
3 676×lower-/.f64
3 170×lower-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
046234
063226
1268205
22662200
08537192
Stop Event
iter limit
node limit
iter limit
Counts
21 → 564
Calls
Call 1
Inputs
(/.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -9 binary64))
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -9 binary64))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
(-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -9 binary64)))
(/.f64 #s(literal -1 binary64) x)
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) #s(approx (- 1 (/ 1/9 x)) #s(literal 1 binary64)))
#s(approx (- 1 (/ 1/9 x)) #s(literal 1 binary64))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 #s(approx (- x (+ (* (* (sqrt x) y) 1/3) 1/9)) (*.f64 (*.f64 (sqrt.f64 x) y) #s(literal -1/3 binary64))) x))
(/.f64 #s(approx (- x (+ (* (* (sqrt x) y) 1/3) 1/9)) (*.f64 (*.f64 (sqrt.f64 x) y) #s(literal -1/3 binary64))) x)
#s(approx (- x (+ (* (* (sqrt x) y) 1/3) 1/9)) (*.f64 (*.f64 (sqrt.f64 x) y) #s(literal -1/3 binary64)))
(*.f64 (*.f64 (sqrt.f64 x) y) #s(literal -1/3 binary64))
(-.f64 #s(approx (- 1 (/ 1 (* x 9))) (/.f64 #s(literal -1/9 binary64) x)) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
#s(approx (- 1 (/ 1 (* x 9))) (/.f64 #s(literal -1/9 binary64) x))
(/.f64 #s(literal -1/9 binary64) x)
(/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))
(/.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (*.f64 (sqrt.f64 x) #s(literal 3 binary64)))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (*.f64 (sqrt.f64 x) #s(literal 3 binary64)))))
(-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (*.f64 (sqrt.f64 x) #s(literal 3 binary64))))
(/.f64 #s(literal 1/3 binary64) (sqrt.f64 x))
(*.f64 #s(literal 3 binary64) (sqrt.f64 x))
(*.f64 (sqrt.f64 x) y)
(*.f64 (sqrt.f64 x) #s(literal 3 binary64))
Outputs
(*.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 1/4 binary64))) (/.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (pow.f64 x #s(literal 1/4 binary64))))
(*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) (/.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) #s(literal -3 binary64)))
(*.f64 (pow.f64 (/.f64 (*.f64 #s(literal -3 binary64) (sqrt.f64 x)) #s(literal 1/3 binary64)) #s(literal -1 binary64)) (pow.f64 (neg.f64 (sqrt.f64 x)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (*.f64 #s(literal -3 binary64) (sqrt.f64 x)) #s(literal -1/3 binary64)) #s(literal -1 binary64)) (pow.f64 x #s(literal -1/2 binary64)))
(*.f64 (/.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) #s(literal -3 binary64)) (pow.f64 x #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (*.f64 #s(literal 9 binary64) x) #s(literal -1/2 binary64)) (pow.f64 (*.f64 #s(literal 9 binary64) x) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (neg.f64 (sqrt.f64 x)) #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) #s(literal 3 binary64)))
(*.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1/3 binary64))
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal -3 binary64) (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x))) #s(literal -1 binary64)))
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) #s(literal -3 binary64)))
(*.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1/9 binary64))
(*.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal -3 binary64)))
(*.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) (/.f64 (neg.f64 (pow.f64 x #s(literal -1/2 binary64))) #s(literal 3 binary64)))
(*.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) (/.f64 (pow.f64 (neg.f64 (sqrt.f64 x)) #s(literal -1 binary64)) #s(literal 3 binary64)))
(*.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)))
(*.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (pow.f64 (/.f64 #s(literal 3 binary64) (pow.f64 x #s(literal -1/2 binary64))) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)))
(*.f64 #s(literal -1/9 binary64) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (neg.f64 (sqrt.f64 x))))
(*.f64 #s(literal -1/9 binary64) (/.f64 (neg.f64 (pow.f64 x #s(literal -1/2 binary64))) (sqrt.f64 x)))
(*.f64 #s(literal -1/9 binary64) (/.f64 (pow.f64 (neg.f64 (sqrt.f64 x)) #s(literal -1 binary64)) (sqrt.f64 x)))
(*.f64 #s(literal -1/9 binary64) (/.f64 #s(literal -1 binary64) x))
(*.f64 #s(literal -1/3 binary64) (/.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) (sqrt.f64 x)))
(*.f64 #s(literal -1/3 binary64) (/.f64 (neg.f64 (pow.f64 x #s(literal -1/2 binary64))) (*.f64 (sqrt.f64 x) #s(literal 3 binary64))))
(*.f64 #s(literal -1/3 binary64) (/.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (neg.f64 (sqrt.f64 x))))
(*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/3 binary64) x))
(*.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal -1 binary64)))
(*.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 binary64) (/.f64 #s(literal -1/9 binary64) x))
(pow.f64 (pow.f64 (*.f64 #s(literal 9 binary64) x) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (/.f64 #s(literal 3 binary64) (/.f64 #s(literal 1/3 binary64) x)) #s(literal -1 binary64))
(pow.f64 (/.f64 (*.f64 #s(literal 3 binary64) x) #s(literal 1/3 binary64)) #s(literal -1 binary64))
(pow.f64 (neg.f64 (*.f64 #s(literal -9 binary64) x)) #s(literal -1 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal 9 binary64) x) #s(literal 2 binary64)) #s(literal -1/2 binary64))
(pow.f64 (*.f64 #s(literal 9 binary64) x) #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) #s(literal 2 binary64))
(pow.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) #s(literal 2 binary64))
(pow.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) #s(literal -2 binary64))
(/.f64 (neg.f64 (/.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) #s(literal -3 binary64))) (neg.f64 (sqrt.f64 x)))
(/.f64 (neg.f64 (/.f64 #s(literal -1/3 binary64) (*.f64 #s(literal -3 binary64) (sqrt.f64 x)))) (neg.f64 (sqrt.f64 x)))
(/.f64 (neg.f64 (*.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)))) (neg.f64 (neg.f64 (sqrt.f64 x))))
(/.f64 (neg.f64 (neg.f64 (/.f64 #s(literal 1/3 binary64) x))) #s(literal 3 binary64))
(/.f64 (neg.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) #s(literal 1 binary64))) (*.f64 #s(literal -3 binary64) (sqrt.f64 x)))
(/.f64 (neg.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)))) (neg.f64 (sqrt.f64 x)))
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)))) (neg.f64 (*.f64 #s(literal -3 binary64) (sqrt.f64 x))))
(/.f64 (/.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) #s(literal -3 binary64)) (sqrt.f64 x))
(/.f64 (/.f64 #s(literal -1/3 binary64) (*.f64 #s(literal -3 binary64) (sqrt.f64 x))) (sqrt.f64 x))
(/.f64 (*.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) (neg.f64 (sqrt.f64 x)))
(/.f64 (neg.f64 (/.f64 #s(literal 1/3 binary64) x)) #s(literal -3 binary64))
(/.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) #s(literal 1 binary64)) (*.f64 (sqrt.f64 x) #s(literal 3 binary64)))
(/.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) (sqrt.f64 x))
(/.f64 (*.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x))) (*.f64 #s(literal -3 binary64) (sqrt.f64 x)))
(/.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 3 binary64))
(/.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 9 binary64))
(/.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) (neg.f64 (neg.f64 (*.f64 #s(literal -3 binary64) (sqrt.f64 x)))))
(/.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) (*.f64 #s(literal -3 binary64) (sqrt.f64 x)))
(/.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (neg.f64 (*.f64 #s(literal -3 binary64) (sqrt.f64 x))))
(/.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (*.f64 (sqrt.f64 x) #s(literal 3 binary64)))
(/.f64 #s(literal -1/9 binary64) (neg.f64 (neg.f64 (neg.f64 x))))
(/.f64 #s(literal -1/9 binary64) (*.f64 x #s(literal -1 binary64)))
(/.f64 #s(literal -1/9 binary64) (neg.f64 x))
(/.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) (neg.f64 (sqrt.f64 x))))
(/.f64 #s(literal -1/3 binary64) (neg.f64 (*.f64 #s(literal 3 binary64) x)))
(/.f64 #s(literal -1/3 binary64) (*.f64 (neg.f64 (sqrt.f64 x)) (*.f64 (sqrt.f64 x) #s(literal 3 binary64))))
(/.f64 #s(literal 1/3 binary64) (neg.f64 (*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) (neg.f64 (sqrt.f64 x)))))
(/.f64 #s(literal 1/3 binary64) (neg.f64 (neg.f64 (*.f64 #s(literal 3 binary64) x))))
(/.f64 #s(literal 1/3 binary64) (neg.f64 (*.f64 (neg.f64 (sqrt.f64 x)) (*.f64 (sqrt.f64 x) #s(literal 3 binary64)))))
(/.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 3 binary64) x))
(/.f64 #s(literal 1/9 binary64) (neg.f64 (*.f64 x #s(literal -1 binary64))))
(/.f64 #s(literal 1/9 binary64) (neg.f64 (neg.f64 x)))
(/.f64 #s(literal 1/9 binary64) x)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) (/.f64 #s(literal 1/3 binary64) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 3 binary64) x) #s(literal 1/3 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 #s(literal -9 binary64) x)))
(/.f64 #s(literal 1 binary64) (*.f64 #s(literal 9 binary64) x))
(/.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -9 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (neg.f64 (*.f64 #s(literal -9 binary64) x))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 3 binary64) (/.f64 #s(literal 1/3 binary64) x))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 #s(literal 3 binary64) x) #s(literal 1/3 binary64))))
(/.f64 #s(literal -1 binary64) (*.f64 #s(literal -9 binary64) x))
(neg.f64 (/.f64 #s(literal -1/9 binary64) x))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 #s(literal -3 binary64) (sqrt.f64 x))) (/.f64 #s(literal -1/9 binary64) x))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal -1/9 binary64) x))
(exp.f64 (log.f64 (/.f64 #s(literal 1/9 binary64) x)))
(*.f64 (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)) #s(literal 2 binary64)) (*.f64 (/.f64 y #s(literal 9 binary64)) (/.f64 y x))) (pow.f64 (fma.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) y (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x))) #s(literal -1 binary64)))
(*.f64 (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)) #s(literal 3 binary64)) (pow.f64 (/.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) #s(literal 3 binary64))) (pow.f64 (fma.f64 (/.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) y (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x))) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)) #s(literal 2 binary64))) #s(literal -1 binary64)))
(pow.f64 (/.f64 (fma.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) y (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x))) (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)) #s(literal 2 binary64)) (*.f64 (/.f64 y #s(literal 9 binary64)) (/.f64 y x)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (/.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) y (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x))) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)) #s(literal 2 binary64))) (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)) #s(literal 3 binary64)) (pow.f64 (/.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) #s(literal 3 binary64)))) #s(literal -1 binary64))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)) #s(literal 2 binary64)) (fma.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) y (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 (/.f64 y #s(literal 9 binary64)) (/.f64 y x)) (fma.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) y (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)) #s(literal 2 binary64)) (fma.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) y (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)))) (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)) #s(literal 2 binary64)) (fma.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) y (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)))) (fma.f64 (/.f64 (*.f64 (/.f64 y #s(literal 9 binary64)) (/.f64 y x)) (fma.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) y (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)))) (/.f64 (*.f64 (/.f64 y #s(literal 9 binary64)) (/.f64 y x)) (fma.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) y (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)))) (*.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)) #s(literal 2 binary64)) (fma.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) y (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)))) (/.f64 (*.f64 (/.f64 y #s(literal 9 binary64)) (/.f64 y x)) (fma.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) y (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x))))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)) #s(literal 3 binary64)) (fma.f64 (/.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) y (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x))) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)) #s(literal 2 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (/.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) #s(literal 3 binary64)) (fma.f64 (/.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) y (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x))) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)) #s(literal 2 binary64)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)) #s(literal 3 binary64)) (fma.f64 (/.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) y (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x))) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)) #s(literal 2 binary64)))) (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)) #s(literal 3 binary64)) (fma.f64 (/.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) y (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x))) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)) #s(literal 2 binary64)))) (fma.f64 (/.f64 (pow.f64 (/.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) #s(literal 3 binary64)) (fma.f64 (/.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) y (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x))) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)) #s(literal 2 binary64)))) (/.f64 (pow.f64 (/.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) #s(literal 3 binary64)) (fma.f64 (/.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) y (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x))) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)) #s(literal 2 binary64)))) (*.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)) #s(literal 3 binary64)) (fma.f64 (/.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) y (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x))) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)) #s(literal 2 binary64)))) (/.f64 (pow.f64 (/.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) #s(literal 3 binary64)) (fma.f64 (/.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) y (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x))) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)) #s(literal 2 binary64))))))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) (*.f64 y (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)))) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) (*.f64 y (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)))) (-.f64 (/.f64 #s(literal 1/9 binary64) x) (*.f64 y (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)))) (*.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1/9 binary64) x) (*.f64 y (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x))))))))
(/.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) (/.f64 #s(literal -1/27 binary64) (pow.f64 x #s(literal 3/2 binary64))) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)) #s(literal 3 binary64))) (fma.f64 (/.f64 y #s(literal 9 binary64)) (/.f64 y x) (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)) #s(literal 2 binary64)) (*.f64 (*.f64 y (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x))))))
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(pow.f64 (/.f64 (*.f64 #s(literal -3 binary64) (sqrt.f64 x)) #s(literal -1 binary64)) #s(literal -1 binary64))
(pow.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) #s(literal -1 binary64))
(/.f64 (neg.f64 (pow.f64 x #s(literal -1/2 binary64))) #s(literal -3 binary64))
(/.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 3 binary64))
(/.f64 #s(literal -1/3 binary64) (neg.f64 (neg.f64 (neg.f64 (sqrt.f64 x)))))
(/.f64 #s(literal -1/3 binary64) (neg.f64 (sqrt.f64 x)))
(/.f64 #s(literal 1/3 binary64) (neg.f64 (neg.f64 (sqrt.f64 x))))
(/.f64 #s(literal 1/3 binary64) (sqrt.f64 x))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -3 binary64) (sqrt.f64 x)) #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 #s(literal -3 binary64) (sqrt.f64 x))))
(/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal 3 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 #s(literal -3 binary64) (sqrt.f64 x)) #s(literal -1 binary64))))
(/.f64 #s(literal -1 binary64) (*.f64 #s(literal -3 binary64) (sqrt.f64 x)))
(neg.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)))
(exp.f64 (*.f64 (log.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) #s(literal -1 binary64)))
(*.f64 (sqrt.f64 x) #s(literal 3 binary64))
(*.f64 #s(literal 3 binary64) (sqrt.f64 x))
(pow.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) #s(literal -1 binary64))
(pow.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) #s(literal 1 binary64))
(/.f64 (neg.f64 (neg.f64 (sqrt.f64 x))) #s(literal 1/3 binary64))
(/.f64 (neg.f64 (sqrt.f64 x)) #s(literal -1/3 binary64))
(/.f64 (sqrt.f64 x) #s(literal 1/3 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)))
(-.f64 #s(literal 0 binary64) (/.f64 (sqrt.f64 x) #s(literal -1/3 binary64)))
(*.f64 (sqrt.f64 x) y)
(*.f64 y (sqrt.f64 x))
(*.f64 (sqrt.f64 x) #s(literal 3 binary64))
(*.f64 #s(literal 3 binary64) (sqrt.f64 x))
(pow.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) #s(literal -1 binary64))
(pow.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) #s(literal 1 binary64))
(/.f64 (neg.f64 (neg.f64 (sqrt.f64 x))) #s(literal 1/3 binary64))
(/.f64 (neg.f64 (sqrt.f64 x)) #s(literal -1/3 binary64))
(/.f64 (sqrt.f64 x) #s(literal 1/3 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)))
(-.f64 #s(literal 0 binary64) (/.f64 (sqrt.f64 x) #s(literal -1/3 binary64)))

eval120.0ms (1.4%)

Memory
4.5MiB live, 314.8MiB allocated
Compiler

Compiled 17 227 to 1 687 computations (90.2% saved)

prune122.0ms (1.5%)

Memory
-19.5MiB live, 365.3MiB allocated
Pruning

21 alts after pruning (17 fresh and 4 done)

PrunedKeptTotal
New1 007131 020
Fresh10414
Picked325
Done022
Total1 020211 041
Accuracy
100.0%
Counts
1 041 → 21
Alt Table
Click to see full alt table
StatusAccuracyProgram
68.2%
(fma.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) (*.f64 #s(literal 1/3 binary64) y) #s(approx (- 1 (/ 1/9 x)) #s(literal 1 binary64)))
99.5%
(fma.f64 (*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) y) #s(literal 1/3 binary64) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)))
69.5%
(fma.f64 #s(literal -1/3 binary64) (/.f64 y (sqrt.f64 x)) #s(approx (- 1 (/ 1/9 x)) (/.f64 #s(literal -1/9 binary64) x)))
99.7%
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 #s(literal 3 binary64) y)))
68.3%
(-.f64 #s(approx (- 1 (/ (/ -1 x) -9)) #s(literal 1 binary64)) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
69.6%
(-.f64 #s(approx (- 1 (/ 1 (* x 9))) (/.f64 #s(literal -1/9 binary64) x)) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) y)))
69.5%
(-.f64 #s(approx (- 1 (/ 1 (* x 9))) (/.f64 #s(literal -1/9 binary64) x)) (*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) (/.f64 y #s(literal -3 binary64))))
59.6%
#s(approx (- (- 1 (/ (/ -1 x) -9)) (/ y (* 3 (sqrt x)))) (/.f64 (fma.f64 (*.f64 (sqrt.f64 x) #s(literal -1/3 binary64)) y #s(literal -1/9 binary64)) x))
39.9%
#s(approx (- (- 1 (/ (/ -1 x) -9)) (/ y (* 3 (sqrt x)))) (*.f64 (*.f64 y #s(literal -1/3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
61.6%
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (fma.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/9 binary64) #s(literal 1 binary64)))
89.6%
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 (-.f64 x (fma.f64 (*.f64 (sqrt.f64 x) y) #s(literal 1/3 binary64) #s(literal 1/9 binary64))) x))
29.9%
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 #s(approx (- x (+ (* (* (sqrt x) y) 1/3) 1/9)) (*.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 x))) x))
61.4%
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (*.f64 (sqrt.f64 x) #s(literal 3 binary64)))))
61.5%
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 3 binary64))))
61.6%
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -9 binary64))))
61.6%
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 9 binary64) x))))
61.6%
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 3 binary64) x))))
61.6%
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)))
61.4%
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) (neg.f64 (sqrt.f64 x))))))
32.2%
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) #s(approx (- 1 (/ (/ 1/3 (sqrt x)) (* (sqrt x) 3))) (/.f64 #s(literal -1/9 binary64) x)))
30.3%
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) #s(approx (- 1 (/ 1/9 x)) #s(literal 1 binary64)))
Compiler

Compiled 371 to 363 computations (2.2% saved)

simplify157.0ms (1.9%)

Memory
-6.0MiB live, 191.9MiB allocated
Algorithm
egg-herbie
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
cost-diff0
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) (neg.f64 (sqrt.f64 x)))))
cost-diff0
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) (neg.f64 (sqrt.f64 x))))))
cost-diff320
(/.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) (neg.f64 (sqrt.f64 x))))
cost-diff1728
(*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) (neg.f64 (sqrt.f64 x)))
cost-diff0
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
cost-diff0
(*.f64 y #s(literal -1/3 binary64))
cost-diff0
#s(approx (- (- 1 (/ (/ -1 x) -9)) (/ y (* 3 (sqrt x)))) (*.f64 (*.f64 y #s(literal -1/3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
cost-diff320
(*.f64 (*.f64 y #s(literal -1/3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
cost-diff0
(/.f64 #s(literal -1 binary64) x)
cost-diff0
(-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -9 binary64)))
cost-diff0
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -9 binary64))))
cost-diff704
(/.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -9 binary64))
cost-diff0
(/.f64 #s(literal -1/9 binary64) x)
cost-diff0
#s(approx (- 1 (/ (/ 1/3 (sqrt x)) (* (sqrt x) 3))) (/.f64 #s(literal -1/9 binary64) x))
cost-diff0
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) #s(approx (- 1 (/ (/ 1/3 (sqrt x)) (* (sqrt x) 3))) (/.f64 #s(literal -1/9 binary64) x)))
cost-diff0
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64))))
cost-diff256
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 #s(literal 3 binary64) y)))
cost-diff320
(/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))
cost-diff768
(/.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 #s(literal 3 binary64) y))
Rules
7 596×lower-fma.f64
7 596×lower-fma.f32
2 304×lower-*.f32
2 294×lower-*.f64
1 560×lower--.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
052255
075240
1121211
2273197
3554197
41061197
52030197
63186197
73707193
84211193
94573193
105581193
116682193
127769193
08015187
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 #s(literal 3 binary64) y)))
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64))))
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))
(*.f64 x #s(literal 9 binary64))
x
#s(literal 9 binary64)
(/.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 #s(literal 3 binary64) y))
(pow.f64 x #s(literal -1/2 binary64))
#s(literal -1/2 binary64)
(/.f64 #s(literal 3 binary64) y)
#s(literal 3 binary64)
y
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) #s(approx (- 1 (/ (/ 1/3 (sqrt x)) (* (sqrt x) 3))) (/.f64 #s(literal -1/9 binary64) x)))
#s(approx (- 1 (/ (/ 1/3 (sqrt x)) (* (sqrt x) 3))) (/.f64 #s(literal -1/9 binary64) x))
(/.f64 #s(literal -1/9 binary64) x)
#s(literal -1/9 binary64)
x
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -9 binary64))))
(-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -9 binary64)))
#s(literal 1 binary64)
(/.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -9 binary64))
(/.f64 #s(literal -1 binary64) x)
#s(literal -1 binary64)
x
#s(literal -9 binary64)
#s(approx (- (- 1 (/ (/ -1 x) -9)) (/ y (* 3 (sqrt x)))) (*.f64 (*.f64 y #s(literal -1/3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
(*.f64 (*.f64 y #s(literal -1/3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(*.f64 y #s(literal -1/3 binary64))
y
#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 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) (neg.f64 (sqrt.f64 x))))))
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) (neg.f64 (sqrt.f64 x)))))
#s(literal 1 binary64)
(/.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) (neg.f64 (sqrt.f64 x))))
#s(literal -1/3 binary64)
(*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) (neg.f64 (sqrt.f64 x)))
(*.f64 (sqrt.f64 x) #s(literal 3 binary64))
(sqrt.f64 x)
x
#s(literal 3 binary64)
(neg.f64 (sqrt.f64 x))
Outputs
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 #s(literal 3 binary64) y)))
(fma.f64 (fma.f64 y (pow.f64 x #s(literal -1/2 binary64)) (/.f64 #s(literal 1/3 binary64) x)) #s(literal -1/3 binary64) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64))))
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x))
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))
(/.f64 #s(literal 1/9 binary64) x)
(*.f64 x #s(literal 9 binary64))
(*.f64 #s(literal 9 binary64) x)
x
#s(literal 9 binary64)
(/.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 #s(literal 3 binary64) y))
(*.f64 (*.f64 y (pow.f64 x #s(literal -1/2 binary64))) #s(literal 1/3 binary64))
(pow.f64 x #s(literal -1/2 binary64))
#s(literal -1/2 binary64)
(/.f64 #s(literal 3 binary64) y)
#s(literal 3 binary64)
y
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) #s(approx (- 1 (/ (/ 1/3 (sqrt x)) (* (sqrt x) 3))) (/.f64 #s(literal -1/9 binary64) x)))
#s(approx (- (- 1 (/ (/ -1 x) -9)) (/ y (* 3 (sqrt x)))) #s(approx (- 1 (/ (/ 1/3 (sqrt x)) (* (sqrt x) 3))) (/.f64 #s(literal -1/9 binary64) x)))
#s(approx (- 1 (/ (/ 1/3 (sqrt x)) (* (sqrt x) 3))) (/.f64 #s(literal -1/9 binary64) x))
(/.f64 #s(literal -1/9 binary64) x)
#s(literal -1/9 binary64)
x
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -9 binary64))))
#s(approx (- (- 1 (/ (/ -1 x) -9)) (/ y (* 3 (sqrt x)))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)))
(-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -9 binary64)))
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x))
#s(literal 1 binary64)
(/.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -9 binary64))
(/.f64 #s(literal 1/9 binary64) x)
(/.f64 #s(literal -1 binary64) x)
#s(literal -1 binary64)
x
#s(literal -9 binary64)
#s(approx (- (- 1 (/ (/ -1 x) -9)) (/ y (* 3 (sqrt x)))) (*.f64 (*.f64 y #s(literal -1/3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
#s(approx (- (- 1 (/ (/ -1 x) -9)) (/ y (* 3 (sqrt x)))) (*.f64 (/.f64 y (sqrt.f64 x)) #s(literal -1/3 binary64)))
(*.f64 (*.f64 y #s(literal -1/3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(*.f64 (/.f64 y (sqrt.f64 x)) #s(literal -1/3 binary64))
(*.f64 y #s(literal -1/3 binary64))
(*.f64 #s(literal -1/3 binary64) y)
y
#s(literal -1/3 binary64)
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) (sqrt.f64 x))
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) (neg.f64 (sqrt.f64 x))))))
#s(approx (- (- 1 (/ (/ -1 x) -9)) (/ y (* 3 (sqrt x)))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)))
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) (neg.f64 (sqrt.f64 x)))))
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x))
#s(literal 1 binary64)
(/.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) (neg.f64 (sqrt.f64 x))))
(/.f64 #s(literal 1/9 binary64) x)
#s(literal -1/3 binary64)
(*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) (neg.f64 (sqrt.f64 x)))
(*.f64 #s(literal -3 binary64) x)
(*.f64 (sqrt.f64 x) #s(literal 3 binary64))
(sqrt.f64 x)
x
#s(literal 3 binary64)
(neg.f64 (sqrt.f64 x))

localize199.0ms (2.4%)

Memory
6.8MiB live, 526.4MiB allocated
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
accuracy0.1875
(*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) (neg.f64 (sqrt.f64 x)))
accuracy0.21484375
(*.f64 (sqrt.f64 x) #s(literal 3 binary64))
accuracy0.2421875
(/.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) (neg.f64 (sqrt.f64 x))))
accuracy17.88225192188096
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) (neg.f64 (sqrt.f64 x))))))
accuracy0.09375
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
accuracy0.201503759768442
(*.f64 (*.f64 y #s(literal -1/3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
accuracy0.25
(*.f64 y #s(literal -1/3 binary64))
accuracy25.53426806744223
#s(approx (- (- 1 (/ (/ -1 x) -9)) (/ y (* 3 (sqrt x)))) (*.f64 (*.f64 y #s(literal -1/3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
accuracy0
(/.f64 #s(literal -1 binary64) x)
accuracy0
(-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -9 binary64)))
accuracy0.16015625
(/.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -9 binary64))
accuracy17.88225192188096
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -9 binary64))))
accuracy0.26171875
(/.f64 #s(literal -1/9 binary64) x)
accuracy17.88225192188096
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) #s(approx (- 1 (/ (/ 1/3 (sqrt x)) (* (sqrt x) 3))) (/.f64 #s(literal -1/9 binary64) x)))
accuracy22.476490806185726
#s(approx (- 1 (/ (/ 1/3 (sqrt x)) (* (sqrt x) 3))) (/.f64 #s(literal -1/9 binary64) x))
accuracy0
(*.f64 x #s(literal 9 binary64))
accuracy0.0078125
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 #s(literal 3 binary64) y)))
accuracy0.19140625
(/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))
accuracy0.26009750976844204
(/.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 #s(literal 3 binary64) y))
Samples
109.0ms80×5exit
56.0ms176×0valid
Compiler

Compiled 207 to 41 computations (80.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 122.0ms
adjust: 33.0ms (27% of total)
ival-div: 29.0ms (23.7% of total)
ival-mult: 16.0ms (13.1% of total)
ival-sub: 14.0ms (11.5% of total)
const: 12.0ms (9.8% of total)
ival-pow: 8.0ms (6.6% of total)
ival-sqrt: 7.0ms (5.7% of total)
ival-neg: 2.0ms (1.6% of total)
exact: 1.0ms (0.8% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series23.0ms (0.3%)

Memory
17.6MiB live, 56.4MiB allocated
Counts
21 → 336
Calls
Call 1
Inputs
#s(alt (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 #s(literal 3 binary64) y)) (patch (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 #s(literal 3 binary64) y)) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64))) (patch (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64))) #<representation binary64>) () ())
#s(alt (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 #s(literal 3 binary64) y))) (patch (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 #s(literal 3 binary64) y))) #<representation binary64>) () ())
#s(alt (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) (patch (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #<representation binary64>) () ())
#s(alt #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) #s(approx (- 1 (/ (/ 1/3 (sqrt x)) (* (sqrt x) 3))) (/.f64 #s(literal -1/9 binary64) x))) (patch #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) #s(approx (- 1 (/ (/ 1/3 (sqrt x)) (* (sqrt x) 3))) (/.f64 #s(literal -1/9 binary64) x))) #<representation binary64>) () ())
#s(alt #s(approx (- 1 (/ (/ 1/3 (sqrt x)) (* (sqrt x) 3))) (/.f64 #s(literal -1/9 binary64) x)) (patch #s(approx (- 1 (/ (/ 1/3 (sqrt x)) (* (sqrt x) 3))) (/.f64 #s(literal -1/9 binary64) x)) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal -1/9 binary64) x) (patch (/.f64 #s(literal -1/9 binary64) x) #<representation binary64>) () ())
#s(alt (/.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -9 binary64)) (patch (/.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -9 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -9 binary64)))) (patch #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -9 binary64)))) #<representation binary64>) () ())
#s(alt (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -9 binary64))) (patch (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -9 binary64))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal -1 binary64) x) (patch (/.f64 #s(literal -1 binary64) x) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 y #s(literal -1/3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (patch (*.f64 (*.f64 y #s(literal -1/3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) #<representation binary64>) () ())
#s(alt #s(approx (- (- 1 (/ (/ -1 x) -9)) (/ y (* 3 (sqrt x)))) (*.f64 (*.f64 y #s(literal -1/3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (patch #s(approx (- (- 1 (/ (/ -1 x) -9)) (/ y (* 3 (sqrt x)))) (*.f64 (*.f64 y #s(literal -1/3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) #<representation binary64>) () ())
#s(alt (*.f64 y #s(literal -1/3 binary64)) (patch (*.f64 y #s(literal -1/3 binary64)) #<representation binary64>) () ())
#s(alt (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (patch (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) (neg.f64 (sqrt.f64 x))) (patch (*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) (neg.f64 (sqrt.f64 x))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) (neg.f64 (sqrt.f64 x)))) (patch (/.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) (neg.f64 (sqrt.f64 x)))) #<representation binary64>) () ())
#s(alt #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) (neg.f64 (sqrt.f64 x)))))) (patch #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) (neg.f64 (sqrt.f64 x)))))) #<representation binary64>) () ())
#s(alt (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) (neg.f64 (sqrt.f64 x))))) (patch (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) (neg.f64 (sqrt.f64 x))))) #<representation binary64>) () ())
#s(alt (*.f64 x #s(literal 9 binary64)) (patch (*.f64 x #s(literal 9 binary64)) #<representation binary64>) () ())
#s(alt (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) (patch (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) #<representation binary64>) () ())
Outputs
#s(alt (* 1/3 (* (sqrt (/ 1 x)) y)) (taylor 0 y) (#s(alt (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 #s(literal 3 binary64) y)) (patch (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 #s(literal 3 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (* (sqrt (/ 1 x)) y)) (taylor 0 y) (#s(alt (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 #s(literal 3 binary64) y)) (patch (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 #s(literal 3 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (* (sqrt (/ 1 x)) y)) (taylor 0 y) (#s(alt (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 #s(literal 3 binary64) y)) (patch (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 #s(literal 3 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (* (sqrt (/ 1 x)) y)) (taylor 0 y) (#s(alt (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 #s(literal 3 binary64) y)) (patch (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 #s(literal 3 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (- 1 (* 1/9 (/ 1 x))) (taylor 0 y) (#s(alt (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 #s(literal 3 binary64) y))) (patch (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 #s(literal 3 binary64) y))) #<representation binary64>) () ())) ())
#s(alt (- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x))) (taylor 0 y) (#s(alt (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 #s(literal 3 binary64) y))) (patch (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 #s(literal 3 binary64) y))) #<representation binary64>) () ())) ())
#s(alt (- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x))) (taylor 0 y) (#s(alt (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 #s(literal 3 binary64) y))) (patch (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 #s(literal 3 binary64) y))) #<representation binary64>) () ())) ())
#s(alt (- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x))) (taylor 0 y) (#s(alt (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 #s(literal 3 binary64) y))) (patch (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 #s(literal 3 binary64) y))) #<representation binary64>) () ())) ())
#s(alt (- 1 (* 1/9 (/ 1 x))) (taylor 0 y) (#s(alt #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) #s(approx (- 1 (/ (/ 1/3 (sqrt x)) (* (sqrt x) 3))) (/.f64 #s(literal -1/9 binary64) x))) (patch #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) #s(approx (- 1 (/ (/ 1/3 (sqrt x)) (* (sqrt x) 3))) (/.f64 #s(literal -1/9 binary64) x))) #<representation binary64>) () ())) ())
#s(alt (- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x))) (taylor 0 y) (#s(alt #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) #s(approx (- 1 (/ (/ 1/3 (sqrt x)) (* (sqrt x) 3))) (/.f64 #s(literal -1/9 binary64) x))) (patch #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) #s(approx (- 1 (/ (/ 1/3 (sqrt x)) (* (sqrt x) 3))) (/.f64 #s(literal -1/9 binary64) x))) #<representation binary64>) () ())) ())
#s(alt (- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x))) (taylor 0 y) (#s(alt #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) #s(approx (- 1 (/ (/ 1/3 (sqrt x)) (* (sqrt x) 3))) (/.f64 #s(literal -1/9 binary64) x))) (patch #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) #s(approx (- 1 (/ (/ 1/3 (sqrt x)) (* (sqrt x) 3))) (/.f64 #s(literal -1/9 binary64) x))) #<representation binary64>) () ())) ())
#s(alt (- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x))) (taylor 0 y) (#s(alt #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) #s(approx (- 1 (/ (/ 1/3 (sqrt x)) (* (sqrt x) 3))) (/.f64 #s(literal -1/9 binary64) x))) (patch #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) #s(approx (- 1 (/ (/ 1/3 (sqrt x)) (* (sqrt x) 3))) (/.f64 #s(literal -1/9 binary64) x))) #<representation binary64>) () ())) ())
#s(alt (- 1 (* 1/9 (/ 1 x))) (taylor 0 y) (#s(alt #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -9 binary64)))) (patch #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -9 binary64)))) #<representation binary64>) () ())) ())
#s(alt (- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x))) (taylor 0 y) (#s(alt #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -9 binary64)))) (patch #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -9 binary64)))) #<representation binary64>) () ())) ())
#s(alt (- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x))) (taylor 0 y) (#s(alt #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -9 binary64)))) (patch #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -9 binary64)))) #<representation binary64>) () ())) ())
#s(alt (- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x))) (taylor 0 y) (#s(alt #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -9 binary64)))) (patch #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -9 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1/3 (* (sqrt (/ 1 x)) y)) (taylor 0 y) (#s(alt (*.f64 (*.f64 y #s(literal -1/3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (patch (*.f64 (*.f64 y #s(literal -1/3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) #<representation binary64>) () ())) ())
#s(alt (* -1/3 (* (sqrt (/ 1 x)) y)) (taylor 0 y) (#s(alt (*.f64 (*.f64 y #s(literal -1/3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (patch (*.f64 (*.f64 y #s(literal -1/3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) #<representation binary64>) () ())) ())
#s(alt (* -1/3 (* (sqrt (/ 1 x)) y)) (taylor 0 y) (#s(alt (*.f64 (*.f64 y #s(literal -1/3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (patch (*.f64 (*.f64 y #s(literal -1/3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) #<representation binary64>) () ())) ())
#s(alt (* -1/3 (* (sqrt (/ 1 x)) y)) (taylor 0 y) (#s(alt (*.f64 (*.f64 y #s(literal -1/3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (patch (*.f64 (*.f64 y #s(literal -1/3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) #<representation binary64>) () ())) ())
#s(alt (- 1 (* 1/9 (/ 1 x))) (taylor 0 y) (#s(alt #s(approx (- (- 1 (/ (/ -1 x) -9)) (/ y (* 3 (sqrt x)))) (*.f64 (*.f64 y #s(literal -1/3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (patch #s(approx (- (- 1 (/ (/ -1 x) -9)) (/ y (* 3 (sqrt x)))) (*.f64 (*.f64 y #s(literal -1/3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) #<representation binary64>) () ())) ())
#s(alt (- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x))) (taylor 0 y) (#s(alt #s(approx (- (- 1 (/ (/ -1 x) -9)) (/ y (* 3 (sqrt x)))) (*.f64 (*.f64 y #s(literal -1/3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (patch #s(approx (- (- 1 (/ (/ -1 x) -9)) (/ y (* 3 (sqrt x)))) (*.f64 (*.f64 y #s(literal -1/3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) #<representation binary64>) () ())) ())
#s(alt (- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x))) (taylor 0 y) (#s(alt #s(approx (- (- 1 (/ (/ -1 x) -9)) (/ y (* 3 (sqrt x)))) (*.f64 (*.f64 y #s(literal -1/3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (patch #s(approx (- (- 1 (/ (/ -1 x) -9)) (/ y (* 3 (sqrt x)))) (*.f64 (*.f64 y #s(literal -1/3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) #<representation binary64>) () ())) ())
#s(alt (- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x))) (taylor 0 y) (#s(alt #s(approx (- (- 1 (/ (/ -1 x) -9)) (/ y (* 3 (sqrt x)))) (*.f64 (*.f64 y #s(literal -1/3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (patch #s(approx (- (- 1 (/ (/ -1 x) -9)) (/ y (* 3 (sqrt x)))) (*.f64 (*.f64 y #s(literal -1/3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) #<representation binary64>) () ())) ())
#s(alt (* -1/3 y) (taylor 0 y) (#s(alt (*.f64 y #s(literal -1/3 binary64)) (patch (*.f64 y #s(literal -1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/3 y) (taylor 0 y) (#s(alt (*.f64 y #s(literal -1/3 binary64)) (patch (*.f64 y #s(literal -1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/3 y) (taylor 0 y) (#s(alt (*.f64 y #s(literal -1/3 binary64)) (patch (*.f64 y #s(literal -1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/3 y) (taylor 0 y) (#s(alt (*.f64 y #s(literal -1/3 binary64)) (patch (*.f64 y #s(literal -1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (- 1 (* 1/9 (/ 1 x))) (taylor 0 y) (#s(alt #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) (neg.f64 (sqrt.f64 x)))))) (patch #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) (neg.f64 (sqrt.f64 x)))))) #<representation binary64>) () ())) ())
#s(alt (- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x))) (taylor 0 y) (#s(alt #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) (neg.f64 (sqrt.f64 x)))))) (patch #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) (neg.f64 (sqrt.f64 x)))))) #<representation binary64>) () ())) ())
#s(alt (- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x))) (taylor 0 y) (#s(alt #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) (neg.f64 (sqrt.f64 x)))))) (patch #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) (neg.f64 (sqrt.f64 x)))))) #<representation binary64>) () ())) ())
#s(alt (- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x))) (taylor 0 y) (#s(alt #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) (neg.f64 (sqrt.f64 x)))))) (patch #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) (neg.f64 (sqrt.f64 x)))))) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (* (sqrt (/ 1 x)) y)) (taylor inf y) (#s(alt (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 #s(literal 3 binary64) y)) (patch (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 #s(literal 3 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (* (sqrt (/ 1 x)) y)) (taylor inf y) (#s(alt (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 #s(literal 3 binary64) y)) (patch (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 #s(literal 3 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (* (sqrt (/ 1 x)) y)) (taylor inf y) (#s(alt (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 #s(literal 3 binary64) y)) (patch (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 #s(literal 3 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (* (sqrt (/ 1 x)) y)) (taylor inf y) (#s(alt (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 #s(literal 3 binary64) y)) (patch (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 #s(literal 3 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (* -1/3 (* (sqrt (/ 1 x)) y)) (taylor inf y) (#s(alt (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 #s(literal 3 binary64) y))) (patch (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 #s(literal 3 binary64) y))) #<representation binary64>) () ())) ())
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Calls

6 calls:

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

simplify133.0ms (1.6%)

Memory
5.9MiB live, 199.0MiB allocated
Algorithm
egg-herbie
Rules
7 410×lower-fma.f64
7 410×lower-fma.f32
3 376×lower-*.f64
3 376×lower-*.f32
2 820×lower--.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0722498
11722466
24382457
312072457
444062457
568672457
082962352
Stop Event
iter limit
node limit
Counts
336 → 336
Calls
Call 1
Inputs
(* 1/3 (* (sqrt (/ 1 x)) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(- 1 (* 1/9 (/ 1 x)))
(- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))
(- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))
(- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))
(- 1 (* 1/9 (/ 1 x)))
(- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))
(- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))
(- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))
(- 1 (* 1/9 (/ 1 x)))
(- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))
(- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))
(- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))
(* -1/3 (* (sqrt (/ 1 x)) y))
(* -1/3 (* (sqrt (/ 1 x)) y))
(* -1/3 (* (sqrt (/ 1 x)) y))
(* -1/3 (* (sqrt (/ 1 x)) y))
(- 1 (* 1/9 (/ 1 x)))
(- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))
(- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))
(- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))
(* -1/3 y)
(* -1/3 y)
(* -1/3 y)
(* -1/3 y)
(- 1 (* 1/9 (/ 1 x)))
(- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))
(- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))
(- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))
(* 1/3 (* (sqrt (/ 1 x)) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(* -1/3 (* (sqrt (/ 1 x)) y))
(* y (- (/ 1 y) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/9 (* x y)))))
(* y (- (/ 1 y) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/9 (* x y)))))
(* y (- (/ 1 y) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/9 (* x y)))))
(* -1/3 (* (sqrt (/ 1 x)) y))
(* y (- (/ 1 y) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/9 (* x y)))))
(* y (- (/ 1 y) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/9 (* x y)))))
(* y (- (/ 1 y) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/9 (* x y)))))
(* -1/3 (* (sqrt (/ 1 x)) y))
(* y (- (/ 1 y) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/9 (* x y)))))
(* y (- (/ 1 y) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/9 (* x y)))))
(* y (- (/ 1 y) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/9 (* x y)))))
(* -1/3 (* (sqrt (/ 1 x)) y))
(* -1/3 (* (sqrt (/ 1 x)) y))
(* -1/3 (* (sqrt (/ 1 x)) y))
(* -1/3 (* (sqrt (/ 1 x)) y))
(* -1/3 (* (sqrt (/ 1 x)) y))
(* y (- (/ 1 y) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/9 (* x y)))))
(* y (- (/ 1 y) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/9 (* x y)))))
(* y (- (/ 1 y) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/9 (* x y)))))
(* -1/3 y)
(* -1/3 y)
(* -1/3 y)
(* -1/3 y)
(* -1/3 (* (sqrt (/ 1 x)) y))
(* y (- (/ 1 y) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/9 (* x y)))))
(* y (- (/ 1 y) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/9 (* x y)))))
(* y (- (/ 1 y) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/9 (* x y)))))
(* 1/3 (* (sqrt (/ 1 x)) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(* -1/3 (* (sqrt (/ 1 x)) y))
(* -1 (* y (- (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* -1/3 (sqrt (/ 1 x))))))
(* -1 (* y (- (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* -1/3 (sqrt (/ 1 x))))))
(* -1 (* y (- (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* -1/3 (sqrt (/ 1 x))))))
(* -1/3 (* (sqrt (/ 1 x)) y))
(* -1 (* y (- (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* -1/3 (sqrt (/ 1 x))))))
(* -1 (* y (- (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* -1/3 (sqrt (/ 1 x))))))
(* -1 (* y (- (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* -1/3 (sqrt (/ 1 x))))))
(* -1/3 (* (sqrt (/ 1 x)) y))
(* -1 (* y (- (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* -1/3 (sqrt (/ 1 x))))))
(* -1 (* y (- (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* -1/3 (sqrt (/ 1 x))))))
(* -1 (* y (- (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* -1/3 (sqrt (/ 1 x))))))
(* -1/3 (* (sqrt (/ 1 x)) y))
(* -1/3 (* (sqrt (/ 1 x)) y))
(* -1/3 (* (sqrt (/ 1 x)) y))
(* -1/3 (* (sqrt (/ 1 x)) y))
(* -1/3 (* (sqrt (/ 1 x)) y))
(* -1 (* y (- (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* -1/3 (sqrt (/ 1 x))))))
(* -1 (* y (- (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* -1/3 (sqrt (/ 1 x))))))
(* -1 (* y (- (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* -1/3 (sqrt (/ 1 x))))))
(* -1/3 y)
(* -1/3 y)
(* -1/3 y)
(* -1/3 y)
(* -1/3 (* (sqrt (/ 1 x)) y))
(* -1 (* y (- (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* -1/3 (sqrt (/ 1 x))))))
(* -1 (* y (- (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* -1/3 (sqrt (/ 1 x))))))
(* -1 (* y (- (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* -1/3 (sqrt (/ 1 x))))))
(* 1/3 (* (sqrt (/ 1 x)) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(/ 1/9 x)
(/ 1/9 x)
(/ 1/9 x)
(/ 1/9 x)
(* -1 (/ (+ 1/9 (* 1/3 (* (sqrt x) y))) x))
(/ (- x (+ 1/9 (* 1/3 (* (sqrt x) y)))) x)
(/ (- x (+ 1/9 (* 1/3 (* (sqrt x) y)))) x)
(/ (- x (+ 1/9 (* 1/3 (* (sqrt x) y)))) x)
(/ -1/9 x)
(/ (- x 1/9) x)
(/ (- x 1/9) x)
(/ (- x 1/9) x)
(* -1 (/ (+ 1/9 (* 1/3 (* (sqrt x) y))) x))
(/ (- x (+ 1/9 (* 1/3 (* (sqrt x) y)))) x)
(/ (- x (+ 1/9 (* 1/3 (* (sqrt x) y)))) x)
(/ (- x (+ 1/9 (* 1/3 (* (sqrt x) y)))) x)
(/ -1/9 x)
(/ (- x 1/9) x)
(/ (- x 1/9) x)
(/ (- 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 (/ (+ 1/9 (* 1/3 (* (sqrt x) y))) x))
(/ (- x (+ 1/9 (* 1/3 (* (sqrt x) y)))) x)
(/ (- x (+ 1/9 (* 1/3 (* (sqrt x) y)))) x)
(/ (- x (+ 1/9 (* 1/3 (* (sqrt x) y)))) x)
(/ -1/9 x)
(/ (- x 1/9) x)
(/ (- x 1/9) x)
(/ (- x 1/9) x)
(/ -1 x)
(/ -1 x)
(/ -1 x)
(/ -1 x)
(* -1/3 (* (sqrt (/ 1 x)) y))
(* -1/3 (* (sqrt (/ 1 x)) y))
(* -1/3 (* (sqrt (/ 1 x)) y))
(* -1/3 (* (sqrt (/ 1 x)) y))
(* -1 (/ (+ 1/9 (* 1/3 (* (sqrt x) y))) x))
(/ (- x (+ 1/9 (* 1/3 (* (sqrt x) y)))) x)
(/ (- x (+ 1/9 (* 1/3 (* (sqrt x) y)))) x)
(/ (- x (+ 1/9 (* 1/3 (* (sqrt x) y)))) x)
(sqrt (/ 1 x))
(sqrt (/ 1 x))
(sqrt (/ 1 x))
(sqrt (/ 1 x))
(* -3 x)
(* -3 x)
(* -3 x)
(* -3 x)
(/ 1/9 x)
(/ 1/9 x)
(/ 1/9 x)
(/ 1/9 x)
(* -1 (/ (+ 1/9 (* 1/3 (* (sqrt x) y))) x))
(/ (- x (+ 1/9 (* 1/3 (* (sqrt x) y)))) x)
(/ (- x (+ 1/9 (* 1/3 (* (sqrt x) y)))) x)
(/ (- x (+ 1/9 (* 1/3 (* (sqrt x) y)))) x)
(/ -1/9 x)
(/ (- x 1/9) x)
(/ (- x 1/9) x)
(/ (- x 1/9) x)
(* 9 x)
(* 9 x)
(* 9 x)
(* 9 x)
(* 3 (sqrt x))
(* 3 (sqrt x))
(* 3 (sqrt x))
(* 3 (sqrt x))
(* 1/3 (* (sqrt (/ 1 x)) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(/ 1/9 x)
(/ 1/9 x)
(/ 1/9 x)
(/ 1/9 x)
(- 1 (* 1/3 (* (sqrt (/ 1 x)) y)))
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))
1
(- 1 (* 1/9 (/ 1 x)))
(- 1 (* 1/9 (/ 1 x)))
(- 1 (* 1/9 (/ 1 x)))
(- 1 (* 1/3 (* (sqrt (/ 1 x)) y)))
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))
1
(- 1 (* 1/9 (/ 1 x)))
(- 1 (* 1/9 (/ 1 x)))
(- 1 (* 1/9 (/ 1 x)))
(/ -1/9 x)
(/ -1/9 x)
(/ -1/9 x)
(/ -1/9 x)
(/ 1/9 x)
(/ 1/9 x)
(/ 1/9 x)
(/ 1/9 x)
(- 1 (* 1/3 (* (sqrt (/ 1 x)) y)))
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))
1
(- 1 (* 1/9 (/ 1 x)))
(- 1 (* 1/9 (/ 1 x)))
(- 1 (* 1/9 (/ 1 x)))
(/ -1 x)
(/ -1 x)
(/ -1 x)
(/ -1 x)
(* -1/3 (* (sqrt (/ 1 x)) y))
(* -1/3 (* (sqrt (/ 1 x)) y))
(* -1/3 (* (sqrt (/ 1 x)) y))
(* -1/3 (* (sqrt (/ 1 x)) y))
(- 1 (* 1/3 (* (sqrt (/ 1 x)) y)))
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))
(sqrt (/ 1 x))
(sqrt (/ 1 x))
(sqrt (/ 1 x))
(sqrt (/ 1 x))
(* -3 x)
(* -3 x)
(* -3 x)
(* -3 x)
(/ 1/9 x)
(/ 1/9 x)
(/ 1/9 x)
(/ 1/9 x)
(- 1 (* 1/3 (* (sqrt (/ 1 x)) y)))
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))
1
(- 1 (* 1/9 (/ 1 x)))
(- 1 (* 1/9 (/ 1 x)))
(- 1 (* 1/9 (/ 1 x)))
(* 9 x)
(* 9 x)
(* 9 x)
(* 9 x)
(* 3 (sqrt x))
(* 3 (sqrt x))
(* 3 (sqrt x))
(* 3 (sqrt x))
(* 1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))
(* 1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))
(* 1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))
(* 1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))
(/ 1/9 x)
(/ 1/9 x)
(/ 1/9 x)
(/ 1/9 x)
(- 1 (* 1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (* 1/9 (/ 1 x))))
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (* 1/9 (/ 1 x))))
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (* 1/9 (/ 1 x))))
1
(- 1 (* 1/9 (/ 1 x)))
(- 1 (* 1/9 (/ 1 x)))
(- 1 (* 1/9 (/ 1 x)))
(- 1 (* 1/3 (* (sqrt (/ 1 x)) y)))
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))
1
(+ 1 (* 1/9 (/ 1 (* x (pow (sqrt -1) 2)))))
(+ 1 (* 1/9 (/ 1 (* x (pow (sqrt -1) 2)))))
(+ 1 (* 1/9 (/ 1 (* x (pow (sqrt -1) 2)))))
(/ -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 (* 1/3 (* (sqrt (/ 1 x)) y)))
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))
1
(- 1 (* 1/9 (/ 1 x)))
(- 1 (* 1/9 (/ 1 x)))
(- 1 (* 1/9 (/ 1 x)))
(/ -1 x)
(/ -1 x)
(/ -1 x)
(/ -1 x)
(* -1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))
(* -1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))
(* -1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))
(* -1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))
(- 1 (* 1/3 (* (sqrt (/ 1 x)) y)))
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 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))
(* 3 (* x (pow (sqrt -1) 2)))
(* 3 (* x (pow (sqrt -1) 2)))
(* 3 (* x (pow (sqrt -1) 2)))
(* 3 (* x (pow (sqrt -1) 2)))
(/ -1/9 (* x (pow (sqrt -1) 2)))
(/ -1/9 (* x (pow (sqrt -1) 2)))
(/ -1/9 (* x (pow (sqrt -1) 2)))
(/ -1/9 (* x (pow (sqrt -1) 2)))
(- 1 (* 1/3 (* (sqrt (/ 1 x)) y)))
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))
1
(+ 1 (* 1/9 (/ 1 (* x (pow (sqrt -1) 2)))))
(+ 1 (* 1/9 (/ 1 (* x (pow (sqrt -1) 2)))))
(+ 1 (* 1/9 (/ 1 (* x (pow (sqrt -1) 2)))))
(* 9 x)
(* 9 x)
(* 9 x)
(* 9 x)
(* -3 (* (sqrt x) (pow (sqrt -1) 2)))
(* -3 (* (sqrt x) (pow (sqrt -1) 2)))
(* -3 (* (sqrt x) (pow (sqrt -1) 2)))
(* -3 (* (sqrt x) (pow (sqrt -1) 2)))
Outputs
(* 1/3 (* (sqrt (/ 1 x)) y))
(*.f64 (*.f64 y #s(literal 1/3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(* 1/3 (* (sqrt (/ 1 x)) y))
(*.f64 (*.f64 y #s(literal 1/3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(* 1/3 (* (sqrt (/ 1 x)) y))
(*.f64 (*.f64 y #s(literal 1/3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(* 1/3 (* (sqrt (/ 1 x)) y))
(*.f64 (*.f64 y #s(literal 1/3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(- 1 (* 1/9 (/ 1 x)))
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x))
(- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))
(fma.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)))
(- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))
(fma.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)))
(- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))
(fma.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)))
(- 1 (* 1/9 (/ 1 x)))
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x))
(- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))
(fma.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)))
(- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))
(fma.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)))
(- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))
(fma.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)))
(- 1 (* 1/9 (/ 1 x)))
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x))
(- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))
(fma.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)))
(- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))
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(* (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)))
(* 3 (* x (pow (sqrt -1) 2)))
(*.f64 #s(literal -3 binary64) x)
(* 3 (* x (pow (sqrt -1) 2)))
(*.f64 #s(literal -3 binary64) x)
(* 3 (* x (pow (sqrt -1) 2)))
(*.f64 #s(literal -3 binary64) x)
(* 3 (* x (pow (sqrt -1) 2)))
(*.f64 #s(literal -3 binary64) x)
(/ -1/9 (* x (pow (sqrt -1) 2)))
(/.f64 #s(literal 1/9 binary64) x)
(/ -1/9 (* x (pow (sqrt -1) 2)))
(/.f64 #s(literal 1/9 binary64) x)
(/ -1/9 (* x (pow (sqrt -1) 2)))
(/.f64 #s(literal 1/9 binary64) x)
(/ -1/9 (* x (pow (sqrt -1) 2)))
(/.f64 #s(literal 1/9 binary64) x)
(- 1 (* 1/3 (* (sqrt (/ 1 x)) y)))
(fma.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))
(fma.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)))
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))
(fma.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)))
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))
(fma.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)))
1
#s(literal 1 binary64)
(+ 1 (* 1/9 (/ 1 (* x (pow (sqrt -1) 2)))))
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x))
(+ 1 (* 1/9 (/ 1 (* x (pow (sqrt -1) 2)))))
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x))
(+ 1 (* 1/9 (/ 1 (* x (pow (sqrt -1) 2)))))
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x))
(* 9 x)
(*.f64 #s(literal 9 binary64) x)
(* 9 x)
(*.f64 #s(literal 9 binary64) x)
(* 9 x)
(*.f64 #s(literal 9 binary64) x)
(* 9 x)
(*.f64 #s(literal 9 binary64) x)
(* -3 (* (sqrt x) (pow (sqrt -1) 2)))
(*.f64 #s(literal 3 binary64) (sqrt.f64 x))
(* -3 (* (sqrt x) (pow (sqrt -1) 2)))
(*.f64 #s(literal 3 binary64) (sqrt.f64 x))
(* -3 (* (sqrt x) (pow (sqrt -1) 2)))
(*.f64 #s(literal 3 binary64) (sqrt.f64 x))
(* -3 (* (sqrt x) (pow (sqrt -1) 2)))
(*.f64 #s(literal 3 binary64) (sqrt.f64 x))

rewrite189.0ms (2.3%)

Memory
-6.3MiB live, 354.8MiB allocated
Rules
10 692×lower-fma.f64
10 692×lower-fma.f32
3 702×lower-/.f32
3 686×lower-/.f64
3 380×lower-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
052221
075206
1281170
22847157
08488152
Stop Event
iter limit
node limit
iter limit
Counts
21 → 868
Calls
Call 1
Inputs
(/.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 #s(literal 3 binary64) y))
(/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 #s(literal 3 binary64) y)))
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64))))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) #s(approx (- 1 (/ (/ 1/3 (sqrt x)) (* (sqrt x) 3))) (/.f64 #s(literal -1/9 binary64) x)))
#s(approx (- 1 (/ (/ 1/3 (sqrt x)) (* (sqrt x) 3))) (/.f64 #s(literal -1/9 binary64) x))
(/.f64 #s(literal -1/9 binary64) x)
(/.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -9 binary64))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -9 binary64))))
(-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -9 binary64)))
(/.f64 #s(literal -1 binary64) x)
(*.f64 (*.f64 y #s(literal -1/3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
#s(approx (- (- 1 (/ (/ -1 x) -9)) (/ y (* 3 (sqrt x)))) (*.f64 (*.f64 y #s(literal -1/3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
(*.f64 y #s(literal -1/3 binary64))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) (neg.f64 (sqrt.f64 x)))
(/.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) (neg.f64 (sqrt.f64 x))))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) (neg.f64 (sqrt.f64 x))))))
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) (neg.f64 (sqrt.f64 x)))))
(*.f64 x #s(literal 9 binary64))
(*.f64 (sqrt.f64 x) #s(literal 3 binary64))
Outputs
(*.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 1/4 binary64))) (/.f64 y (pow.f64 x #s(literal 1/4 binary64))))
(*.f64 (/.f64 (neg.f64 (pow.f64 x #s(literal -1/4 binary64))) #s(literal -1 binary64)) (/.f64 (pow.f64 x #s(literal -1/4 binary64)) (/.f64 #s(literal 3 binary64) y)))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal -1 binary64))) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)))
(*.f64 (/.f64 (neg.f64 (pow.f64 x #s(literal -1/4 binary64))) #s(literal 3 binary64)) (/.f64 (pow.f64 x #s(literal -1/4 binary64)) (neg.f64 (pow.f64 y #s(literal -1 binary64)))))
(*.f64 (/.f64 (pow.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64)) (/.f64 (/.f64 (pow.f64 x #s(literal -1/4 binary64)) #s(literal 3 binary64)) (pow.f64 y #s(literal -1 binary64))))
(*.f64 (/.f64 (pow.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64)) (/.f64 (pow.f64 x #s(literal -1/4 binary64)) (/.f64 #s(literal 3 binary64) y)))
(*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) (/.f64 y #s(literal -3 binary64)))
(*.f64 (/.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 1/4 binary64))) (/.f64 (neg.f64 y) (pow.f64 x #s(literal 1/4 binary64))))
(*.f64 (/.f64 y (pow.f64 x #s(literal 1/4 binary64))) (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 1/4 binary64))))
(*.f64 (/.f64 (pow.f64 x #s(literal -1/4 binary64)) #s(literal -3 binary64)) (/.f64 (pow.f64 x #s(literal -1/4 binary64)) (pow.f64 (neg.f64 y) #s(literal -1 binary64))))
(*.f64 (/.f64 (pow.f64 x #s(literal -1/4 binary64)) #s(literal -3 binary64)) (/.f64 (neg.f64 (pow.f64 x #s(literal -1/4 binary64))) (pow.f64 y #s(literal -1 binary64))))
(*.f64 (/.f64 (pow.f64 x #s(literal -1/4 binary64)) #s(literal -1 binary64)) (/.f64 (neg.f64 (pow.f64 x #s(literal -1/4 binary64))) (/.f64 #s(literal 3 binary64) y)))
(*.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 y #s(literal -1 binary64))) #s(literal 1/3 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 1/4 binary64))) (/.f64 (*.f64 #s(literal 1/3 binary64) y) (pow.f64 x #s(literal 1/4 binary64))))
(*.f64 (pow.f64 (/.f64 #s(literal 3 binary64) (pow.f64 x #s(literal -1/4 binary64))) #s(literal -1 binary64)) (pow.f64 (/.f64 (pow.f64 y #s(literal -1 binary64)) (pow.f64 x #s(literal -1/4 binary64))) #s(literal -1 binary64)))
(*.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal -3 binary64)) (/.f64 #s(literal 1 binary64) (pow.f64 (neg.f64 y) #s(literal -1 binary64))))
(*.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal -3 binary64)) (neg.f64 y))
(*.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) (*.f64 #s(literal 1/3 binary64) y))
(*.f64 (/.f64 y (sqrt.f64 x)) #s(literal 1/3 binary64))
(*.f64 (/.f64 (pow.f64 x #s(literal -1/4 binary64)) (pow.f64 y #s(literal -1 binary64))) (/.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)) (pow.f64 y #s(literal -1 binary64))))
(*.f64 (pow.f64 x #s(literal -1/4 binary64)) (/.f64 (pow.f64 x #s(literal -1/4 binary64)) (/.f64 #s(literal 3 binary64) y)))
(*.f64 (pow.f64 x #s(literal -1/4 binary64)) (*.f64 (pow.f64 x #s(literal -1/4 binary64)) (*.f64 #s(literal 1/3 binary64) y)))
(*.f64 (*.f64 #s(literal 1/3 binary64) y) (pow.f64 x #s(literal -1/2 binary64)))
(*.f64 (neg.f64 (pow.f64 x #s(literal -1/2 binary64))) (pow.f64 (/.f64 #s(literal -3 binary64) y) #s(literal -1 binary64)))
(*.f64 (neg.f64 y) (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)))
(*.f64 #s(literal -1/3 binary64) (/.f64 y (neg.f64 (sqrt.f64 x))))
(*.f64 #s(literal -1/3 binary64) (/.f64 (pow.f64 (neg.f64 (sqrt.f64 x)) #s(literal -1 binary64)) (pow.f64 y #s(literal -1 binary64))))
(*.f64 #s(literal -1/3 binary64) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 (neg.f64 y) #s(literal -1 binary64))))
(*.f64 #s(literal -1/3 binary64) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (neg.f64 (pow.f64 y #s(literal -1 binary64)))))
(*.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal -1 binary64))))
(*.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (pow.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) y)
(*.f64 #s(literal 1/3 binary64) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 y #s(literal -1 binary64))))
(*.f64 #s(literal 1/3 binary64) (pow.f64 (/.f64 (sqrt.f64 x) y) #s(literal -1 binary64)))
(*.f64 #s(literal 1/3 binary64) (pow.f64 (/.f64 (pow.f64 y #s(literal -1 binary64)) (pow.f64 x #s(literal -1/2 binary64))) #s(literal -1 binary64)))
(*.f64 #s(literal 1/3 binary64) (/.f64 y (sqrt.f64 x)))
(*.f64 #s(literal 1 binary64) (*.f64 (/.f64 y (sqrt.f64 x)) #s(literal 1/3 binary64)))
(*.f64 y (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)))
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (*.f64 #s(literal 1/3 binary64) y))
(pow.f64 (/.f64 (sqrt.f64 x) (*.f64 #s(literal 1/3 binary64) y)) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) y) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) y) #s(literal -1 binary64))
(/.f64 (neg.f64 (/.f64 y (sqrt.f64 x))) #s(literal -3 binary64))
(/.f64 (neg.f64 (*.f64 y #s(literal 1 binary64))) (*.f64 #s(literal -3 binary64) (sqrt.f64 x)))
(/.f64 (neg.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) y)) #s(literal -3 binary64))
(/.f64 (neg.f64 (neg.f64 (neg.f64 (pow.f64 x #s(literal -1/2 binary64))))) (/.f64 #s(literal -3 binary64) y))
(/.f64 (neg.f64 (neg.f64 (neg.f64 y))) (neg.f64 (neg.f64 (*.f64 #s(literal -3 binary64) (sqrt.f64 x)))))
(/.f64 (neg.f64 (neg.f64 (*.f64 #s(literal 1/3 binary64) y))) (neg.f64 (neg.f64 (sqrt.f64 x))))
(/.f64 (/.f64 y (sqrt.f64 x)) #s(literal 3 binary64))
(/.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) y) #s(literal 3 binary64))
(/.f64 (neg.f64 (neg.f64 (pow.f64 x #s(literal -1/2 binary64)))) (/.f64 #s(literal 3 binary64) y))
(/.f64 (neg.f64 (neg.f64 y)) (neg.f64 (*.f64 #s(literal -3 binary64) (sqrt.f64 x))))
(/.f64 (neg.f64 (*.f64 #s(literal 1/3 binary64) y)) (neg.f64 (sqrt.f64 x)))
(/.f64 (*.f64 y #s(literal 1 binary64)) (*.f64 (sqrt.f64 x) #s(literal 3 binary64)))
(/.f64 (*.f64 #s(literal 1/3 binary64) y) (sqrt.f64 x))
(/.f64 (neg.f64 (pow.f64 x #s(literal -1/2 binary64))) (/.f64 #s(literal -3 binary64) y))
(/.f64 (neg.f64 y) (*.f64 #s(literal -3 binary64) (sqrt.f64 x)))
(/.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) (neg.f64 (pow.f64 y #s(literal -1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (sqrt.f64 x) (*.f64 #s(literal 1/3 binary64) y))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) y) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) y)))
(/.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (pow.f64 y #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) y))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 x) (*.f64 #s(literal 1/3 binary64) y)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) y) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) y))
(/.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64)))
(/.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 #s(literal 3 binary64) y))
(neg.f64 (*.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal -3 binary64) y)) (*.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 #s(literal -3 binary64) (sqrt.f64 x))) (*.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y))
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) y)) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 1/4 binary64))) (/.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (pow.f64 x #s(literal 1/4 binary64))))
(*.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal -1/9 binary64) (sqrt.f64 x)))
(*.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (neg.f64 (sqrt.f64 x))) #s(literal -1/9 binary64))
(*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) (/.f64 #s(literal -1/9 binary64) (sqrt.f64 x)))
(*.f64 (/.f64 (pow.f64 x #s(literal -1/4 binary64)) (sqrt.f64 x)) (/.f64 (/.f64 (pow.f64 x #s(literal -1/4 binary64)) #s(literal 3 binary64)) #s(literal 3 binary64)))
(*.f64 (pow.f64 (/.f64 (*.f64 #s(literal -3 binary64) (sqrt.f64 x)) #s(literal -1/3 binary64)) #s(literal -1 binary64)) (pow.f64 x #s(literal -1/2 binary64)))
(*.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal -3 binary64)) (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)))
(*.f64 (/.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) #s(literal -3 binary64)) (pow.f64 x #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (*.f64 #s(literal 9 binary64) x) #s(literal -1/2 binary64)) (pow.f64 (*.f64 #s(literal 9 binary64) x) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (neg.f64 (sqrt.f64 x)) #s(literal -1 binary64)) (/.f64 #s(literal -1/9 binary64) (sqrt.f64 x)))
(*.f64 (/.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)) (sqrt.f64 x)))
(*.f64 (/.f64 #s(literal -1/9 binary64) (sqrt.f64 x)) (pow.f64 (neg.f64 (sqrt.f64 x)) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1/3 binary64))
(*.f64 (neg.f64 (/.f64 #s(literal 1/3 binary64) x)) #s(literal -1/3 binary64))
(*.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 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) (/.f64 (pow.f64 (neg.f64 (sqrt.f64 x)) #s(literal -1 binary64)) #s(literal 3 binary64)))
(*.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal -3 binary64)))
(*.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)))
(*.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64))
(*.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1/9 binary64))
(*.f64 #s(literal -1/3 binary64) (/.f64 (neg.f64 (pow.f64 x #s(literal -1/2 binary64))) (*.f64 (sqrt.f64 x) #s(literal 3 binary64))))
(*.f64 #s(literal -1/3 binary64) (/.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) (sqrt.f64 x)))
(*.f64 #s(literal -1/3 binary64) (neg.f64 (/.f64 #s(literal 1/3 binary64) x)))
(*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1/9 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/9 binary64) x))
(*.f64 #s(literal -1/9 binary64) (/.f64 (neg.f64 (pow.f64 x #s(literal -1/2 binary64))) (sqrt.f64 x)))
(*.f64 #s(literal -1/9 binary64) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (neg.f64 (sqrt.f64 x))))
(*.f64 #s(literal -1/9 binary64) (/.f64 (pow.f64 (neg.f64 (sqrt.f64 x)) #s(literal -1 binary64)) (sqrt.f64 x)))
(*.f64 #s(literal -1/9 binary64) (/.f64 #s(literal -1 binary64) x))
(*.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)))
(*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/3 binary64) x))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x))
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 (/.f64 (*.f64 #s(literal -3 binary64) (sqrt.f64 x)) #s(literal -1/3 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal -3 binary64) (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x))) #s(literal -1 binary64)))
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) #s(literal -3 binary64)))
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 (/.f64 #s(literal -1/9 binary64) (sqrt.f64 x)) #s(literal -1 binary64)))
(pow.f64 (pow.f64 (*.f64 #s(literal 9 binary64) x) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (/.f64 #s(literal 3 binary64) (/.f64 #s(literal 1/3 binary64) x)) #s(literal -1 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal -9 binary64) x) #s(literal 2 binary64)) #s(literal -1/2 binary64))
(pow.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) #s(literal 2 binary64))
(pow.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) #s(literal -2 binary64))
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(-.f64 (pow.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 (*.f64 #s(literal -9 binary64) x) #s(literal -2 binary64)) (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64))))
(-.f64 (pow.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 3 binary64)) (fma.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) (/.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 -1/9 binary64) x) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x))
(*.f64 (/.f64 (neg.f64 (sqrt.f64 x)) #s(literal 1/3 binary64)) (/.f64 #s(literal 3 binary64) (neg.f64 (pow.f64 x #s(literal -1/2 binary64)))))
(*.f64 (/.f64 #s(literal -3 binary64) (pow.f64 x #s(literal -1/2 binary64))) (/.f64 (sqrt.f64 x) #s(literal -1/3 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -1/2 binary64))) (/.f64 (*.f64 #s(literal -3 binary64) (sqrt.f64 x)) #s(literal 1/3 binary64)))
(*.f64 (/.f64 (neg.f64 (sqrt.f64 x)) (pow.f64 x #s(literal -1/2 binary64))) #s(literal -9 binary64))
(*.f64 (/.f64 (sqrt.f64 x) (pow.f64 x #s(literal -1/4 binary64))) (/.f64 #s(literal 3 binary64) (/.f64 (pow.f64 x #s(literal -1/4 binary64)) #s(literal 3 binary64))))
(*.f64 (/.f64 (sqrt.f64 x) #s(literal -1 binary64)) (/.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x))))
(*.f64 (/.f64 (sqrt.f64 x) #s(literal -1/3 binary64)) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x))))
(*.f64 (/.f64 (sqrt.f64 x) #s(literal -1/3 binary64)) (/.f64 #s(literal -3 binary64) (pow.f64 x #s(literal -1/2 binary64))))
(*.f64 (/.f64 (sqrt.f64 x) #s(literal -1/3 binary64)) (/.f64 #s(literal 3 binary64) (pow.f64 (neg.f64 (sqrt.f64 x)) #s(literal -1 binary64))))
(*.f64 (/.f64 (*.f64 #s(literal -3 binary64) (sqrt.f64 x)) #s(literal -1/3 binary64)) (sqrt.f64 x))
(*.f64 (/.f64 (*.f64 #s(literal -3 binary64) (sqrt.f64 x)) #s(literal 1/3 binary64)) (neg.f64 (sqrt.f64 x)))
(*.f64 (/.f64 (*.f64 #s(literal -3 binary64) (sqrt.f64 x)) #s(literal -1 binary64)) (*.f64 (sqrt.f64 x) #s(literal 3 binary64)))
(*.f64 (/.f64 #s(literal 3 binary64) (pow.f64 x #s(literal -1/2 binary64))) (*.f64 (sqrt.f64 x) #s(literal 3 binary64)))
(*.f64 (/.f64 #s(literal 3 binary64) (pow.f64 x #s(literal -1/4 binary64))) (/.f64 (sqrt.f64 x) (/.f64 (pow.f64 x #s(literal -1/4 binary64)) #s(literal 3 binary64))))
(*.f64 #s(literal -3 binary64) (/.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) (neg.f64 (pow.f64 x #s(literal -1/2 binary64)))))
(*.f64 #s(literal -3 binary64) (/.f64 (neg.f64 (sqrt.f64 x)) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x))))
(*.f64 (*.f64 #s(literal -3 binary64) (sqrt.f64 x)) (*.f64 #s(literal -3 binary64) (sqrt.f64 x)))
(*.f64 (neg.f64 (*.f64 #s(literal 3 binary64) x)) #s(literal -3 binary64))
(*.f64 (neg.f64 (sqrt.f64 x)) (/.f64 (*.f64 #s(literal -3 binary64) (sqrt.f64 x)) #s(literal 1/3 binary64)))
(*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) (/.f64 #s(literal 3 binary64) (pow.f64 x #s(literal -1/2 binary64))))
(*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) (*.f64 (sqrt.f64 x) #s(literal 3 binary64)))
(*.f64 (sqrt.f64 x) (/.f64 #s(literal -3 binary64) (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x))))
(*.f64 (sqrt.f64 x) (/.f64 (*.f64 #s(literal -3 binary64) (sqrt.f64 x)) #s(literal -1/3 binary64)))
(*.f64 #s(literal -9 binary64) (/.f64 (sqrt.f64 x) (neg.f64 (pow.f64 x #s(literal -1/2 binary64)))))
(*.f64 #s(literal -9 binary64) (/.f64 (neg.f64 (sqrt.f64 x)) (pow.f64 x #s(literal -1/2 binary64))))
(*.f64 #s(literal -9 binary64) (/.f64 (sqrt.f64 x) (pow.f64 (neg.f64 (sqrt.f64 x)) #s(literal -1 binary64))))
(*.f64 #s(literal -9 binary64) (neg.f64 x))
(*.f64 (*.f64 #s(literal 9 binary64) x) #s(literal 1 binary64))
(*.f64 #s(literal 9 binary64) x)
(*.f64 #s(literal 1 binary64) (*.f64 #s(literal 9 binary64) x))
(*.f64 #s(literal 3 binary64) (/.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) (pow.f64 x #s(literal -1/2 binary64))))
(*.f64 #s(literal 3 binary64) (/.f64 (sqrt.f64 x) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x))))
(*.f64 x #s(literal 9 binary64))
(pow.f64 (*.f64 #s(literal -3 binary64) (sqrt.f64 x)) #s(literal 2 binary64))
(pow.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64))
(pow.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 #s(literal 9 binary64) x) #s(literal 1 binary64))
(/.f64 (neg.f64 (/.f64 (*.f64 #s(literal -3 binary64) (sqrt.f64 x)) #s(literal -1/3 binary64))) (neg.f64 (pow.f64 x #s(literal -1/2 binary64))))
(/.f64 (/.f64 (*.f64 #s(literal -3 binary64) (sqrt.f64 x)) #s(literal -1/3 binary64)) (pow.f64 x #s(literal -1/2 binary64)))
(/.f64 (neg.f64 (*.f64 #s(literal -3 binary64) (sqrt.f64 x))) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)))
(/.f64 (neg.f64 (neg.f64 (sqrt.f64 x))) (neg.f64 (/.f64 #s(literal -1/9 binary64) (sqrt.f64 x))))
(/.f64 (*.f64 #s(literal 3 binary64) x) #s(literal 1/3 binary64))
(/.f64 (*.f64 #s(literal -3 binary64) (sqrt.f64 x)) (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)))
(/.f64 (*.f64 #s(literal -9 binary64) x) #s(literal -1 binary64))
(/.f64 (neg.f64 (*.f64 #s(literal 3 binary64) x)) #s(literal -1/3 binary64))
(/.f64 (neg.f64 (sqrt.f64 x)) (/.f64 #s(literal -1/9 binary64) (sqrt.f64 x)))
(/.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)))
(/.f64 #s(literal -9 binary64) (/.f64 #s(literal -1 binary64) x))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/9 binary64) x))
(/.f64 (*.f64 #s(literal 9 binary64) x) #s(literal 1 binary64))
(/.f64 #s(literal 9 binary64) (pow.f64 x #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x))
(neg.f64 (*.f64 #s(literal -9 binary64) x))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal -1/9 binary64) (sqrt.f64 x))) (/.f64 (sqrt.f64 x) (/.f64 #s(literal -1/9 binary64) (sqrt.f64 x))))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x))) (/.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x))))
(-.f64 #s(literal 0 binary64) (*.f64 #s(literal -9 binary64) x))
(exp.f64 (log.f64 (*.f64 #s(literal 9 binary64) x)))
(*.f64 (sqrt.f64 x) #s(literal 3 binary64))
(*.f64 #s(literal 3 binary64) (sqrt.f64 x))
(pow.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) #s(literal -1 binary64))
(/.f64 (neg.f64 (neg.f64 (sqrt.f64 x))) #s(literal 1/3 binary64))
(/.f64 (neg.f64 (sqrt.f64 x)) #s(literal -1/3 binary64))
(/.f64 (sqrt.f64 x) #s(literal 1/3 binary64))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)))
(-.f64 #s(literal 0 binary64) (/.f64 (sqrt.f64 x) #s(literal -1/3 binary64)))

eval148.0ms (1.8%)

Memory
28.8MiB live, 336.4MiB allocated
Compiler

Compiled 19 121 to 2 136 computations (88.8% saved)

prune135.0ms (1.6%)

Memory
-8.3MiB live, 316.0MiB allocated
Pruning

25 alts after pruning (20 fresh and 5 done)

PrunedKeptTotal
New1 191131 204
Fresh5712
Picked325
Done134
Total1 200251 225
Accuracy
100.0%
Counts
1 225 → 25
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.5%
(fma.f64 (*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) y) #s(literal 1/3 binary64) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)))
69.5%
(fma.f64 #s(literal -1/3 binary64) (/.f64 y (sqrt.f64 x)) #s(approx (- 1 (/ 1/9 x)) (/.f64 #s(literal -1/9 binary64) x)))
68.3%
(-.f64 #s(approx (- 1 (/ (/ -1 x) -9)) #s(literal 1 binary64)) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
69.5%
(-.f64 #s(approx (- 1 (/ 1 (* x 9))) (/.f64 #s(literal -1/9 binary64) x)) (*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) (/.f64 y #s(literal -3 binary64))))
59.6%
#s(approx (- (- 1 (/ (/ -1 x) -9)) (/ y (* 3 (sqrt x)))) (/.f64 (fma.f64 (*.f64 (sqrt.f64 x) y) #s(literal -1/3 binary64) #s(literal -1/9 binary64)) x))
39.9%
#s(approx (- (- 1 (/ (/ -1 x) -9)) (/ y (* 3 (sqrt x)))) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 #s(literal -3 binary64) y)))
39.8%
#s(approx (- (- 1 (/ (/ -1 x) -9)) (/ y (* 3 (sqrt x)))) (/.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 x)))
39.9%
#s(approx (- (- 1 (/ (/ -1 x) -9)) (/ y (* 3 (sqrt x)))) (/.f64 y (*.f64 #s(literal -3 binary64) (sqrt.f64 x))))
39.9%
#s(approx (- (- 1 (/ (/ -1 x) -9)) (/ y (* 3 (sqrt x)))) (/.f64 #s(literal -1 binary64) (/.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) y)))
39.9%
#s(approx (- (- 1 (/ (/ -1 x) -9)) (/ y (* 3 (sqrt x)))) (*.f64 (/.f64 y (sqrt.f64 x)) #s(literal -1/3 binary64)))
39.9%
#s(approx (- (- 1 (/ (/ -1 x) -9)) (/ y (* 3 (sqrt x)))) (*.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y))
39.9%
#s(approx (- (- 1 (/ (/ -1 x) -9)) (/ y (* 3 (sqrt x)))) (*.f64 (*.f64 y #s(literal -1/3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
61.6%
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (fma.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/9 binary64) #s(literal 1 binary64)))
89.6%
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 (-.f64 x (fma.f64 (*.f64 (sqrt.f64 x) y) #s(literal 1/3 binary64) #s(literal 1/9 binary64))) x))
29.9%
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 #s(approx (- x (+ (* (* (sqrt x) y) 1/3) 1/9)) (*.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 x))) x))
61.6%
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 9 binary64) x))))
61.6%
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)))
32.2%
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) #s(approx (- 1 (/ (/ 1/3 (sqrt x)) (* (sqrt x) 3))) (/.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64))))
32.1%
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) #s(approx (- 1 (/ (/ 1/3 (sqrt x)) (* (sqrt x) 3))) (/.f64 (/.f64 #s(literal -1/9 binary64) (sqrt.f64 x)) (sqrt.f64 x))))
32.2%
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) #s(approx (- 1 (/ (/ 1/3 (sqrt x)) (* (sqrt x) 3))) (/.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 9 binary64))))
32.2%
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) #s(approx (- 1 (/ (/ 1/3 (sqrt x)) (* (sqrt x) 3))) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -9 binary64) x))))
32.2%
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) #s(approx (- 1 (/ (/ 1/3 (sqrt x)) (* (sqrt x) 3))) (/.f64 #s(literal -1/9 binary64) x)))
32.2%
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) #s(approx (- 1 (/ (/ 1/3 (sqrt x)) (* (sqrt x) 3))) (/.f64 #s(literal -1/3 binary64) (*.f64 #s(literal 3 binary64) x))))
32.2%
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) #s(approx (- 1 (/ (/ 1/3 (sqrt x)) (* (sqrt x) 3))) (*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/9 binary64))))
30.3%
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) #s(approx (- 1 (/ 1/9 x)) #s(literal 1 binary64)))
Compiler

Compiled 834 to 390 computations (53.2% saved)

regimes57.0ms (0.7%)

Memory
10.5MiB live, 127.9MiB allocated
Counts
58 → 1
Calls
Call 1
Inputs
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) #s(approx (- 1 (/ 1/9 x)) #s(literal 1 binary64)))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) #s(approx (- 1 (/ 1/9 x)) (/.f64 #s(literal -1/9 binary64) x)))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) #s(approx (- 1 (/ (/ 1/3 (sqrt x)) (* (sqrt x) 3))) (/.f64 #s(literal -1/9 binary64) x)))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) #s(approx (- 1 (/ (/ 1/3 (sqrt x)) (* (sqrt x) 3))) (*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/9 binary64))))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) #s(approx (- 1 (/ (/ 1/3 (sqrt x)) (* (sqrt x) 3))) (/.f64 #s(literal -1/3 binary64) (*.f64 #s(literal 3 binary64) x))))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) #s(approx (- 1 (/ (/ 1/3 (sqrt x)) (* (sqrt x) 3))) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -9 binary64) x))))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (fma.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/9 binary64) #s(literal 1 binary64)))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 3 binary64) x))))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 9 binary64) x))))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) #s(approx (- 1 (/ (/ 1/3 (sqrt x)) (* (sqrt x) 3))) (/.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 9 binary64))))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) #s(approx (- 1 (/ (/ 1/3 (sqrt x)) (* (sqrt x) 3))) (/.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64))))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -9 binary64))))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 3 binary64))))
#s(approx (- (- 1 (/ (/ -1 x) -9)) (/ y (* 3 (sqrt x)))) (*.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y))
#s(approx (- (- 1 (/ (/ -1 x) -9)) (/ y (* 3 (sqrt x)))) (*.f64 (/.f64 y (sqrt.f64 x)) #s(literal -1/3 binary64)))
#s(approx (- (- 1 (/ (/ -1 x) -9)) (/ y (* 3 (sqrt x)))) (/.f64 y (*.f64 #s(literal -3 binary64) (sqrt.f64 x))))
#s(approx (- (- 1 (/ (/ -1 x) -9)) (/ y (* 3 (sqrt x)))) (/.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 x)))
(-.f64 #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
(-.f64 #s(approx (- 1 (/ (/ -1 x) -9)) #s(literal 1 binary64)) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (*.f64 (*.f64 y #s(literal -1/3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 #s(approx (- x (+ (* (* (sqrt x) y) 1/3) 1/9)) (*.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 x))) x))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 #s(approx (- x (+ (* (* (sqrt x) y) 1/3) 1/9)) (*.f64 (*.f64 (sqrt.f64 x) y) #s(literal -1/3 binary64))) x))
#s(approx (- (- 1 (/ 1 (* (* (* (sqrt x) 3) 3) (sqrt x)))) (/ y (* 3 (sqrt x)))) (*.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
#s(approx (- (- 1 (/ (/ -1 x) -9)) (/ y (* 3 (sqrt x)))) (*.f64 (*.f64 y #s(literal -1/3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 (fma.f64 (*.f64 (sqrt.f64 x) y) #s(literal -1/3 binary64) #s(literal -1/9 binary64)) x))
#s(approx (- (- 1 (/ 1 (* (* (* (sqrt x) 3) 3) (sqrt x)))) (/ y (* 3 (sqrt x)))) (/.f64 (fma.f64 (*.f64 (sqrt.f64 x) #s(literal -1/3 binary64)) y #s(literal -1/9 binary64)) x))
#s(approx (- (- 1 (/ (/ -1 x) -9)) (/ y (* 3 (sqrt x)))) (/.f64 (fma.f64 (*.f64 (sqrt.f64 x) #s(literal -1/3 binary64)) y #s(literal -1/9 binary64)) x))
#s(approx (- (- 1 (/ (/ -1 x) -9)) (/ y (* 3 (sqrt x)))) (/.f64 (fma.f64 (*.f64 (sqrt.f64 x) y) #s(literal -1/3 binary64) #s(literal -1/9 binary64)) x))
(fma.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) (*.f64 #s(literal 1/3 binary64) y) #s(approx (- 1 (/ 1/9 x)) #s(literal 1 binary64)))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 (-.f64 x (fma.f64 (*.f64 (sqrt.f64 x) y) #s(literal 1/3 binary64) #s(literal 1/9 binary64))) x))
#s(approx (- (- 1 (/ (/ -1 x) -9)) (/ y (* 3 (sqrt x)))) (/.f64 #s(literal -1 binary64) (/.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) y)))
(fma.f64 #s(literal -1/3 binary64) (/.f64 y (sqrt.f64 x)) #s(approx (- 1 (/ 1/9 x)) (/.f64 #s(literal -1/9 binary64) x)))
(-.f64 #s(approx (- 1 (/ 1 (* x 9))) (/.f64 #s(literal -1/9 binary64) x)) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
(fma.f64 #s(literal -1/3 binary64) (/.f64 y (sqrt.f64 x)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)))
(fma.f64 (/.f64 y (sqrt.f64 x)) #s(literal -1/3 binary64) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) #s(approx (- 1 (/ (/ 1/3 (sqrt x)) (* (sqrt x) 3))) (/.f64 (/.f64 #s(literal -1/9 binary64) (sqrt.f64 x)) (sqrt.f64 x))))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) (neg.f64 (sqrt.f64 x))))))
(fma.f64 (*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) y) #s(literal 1/3 binary64) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)))
(fma.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/9 binary64) (-.f64 #s(literal 1 binary64) (/.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64)))))
(fma.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) (*.f64 #s(literal 1/3 binary64) y) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)))
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (*.f64 (sqrt.f64 x) #s(literal 3 binary64)))))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 (-.f64 (*.f64 x x) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal 1/9 binary64)) x)) (*.f64 x x)))
(-.f64 #s(approx (- 1 (/ 1 (* x 9))) (/.f64 #s(literal -1/9 binary64) x)) (*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) (/.f64 y #s(literal -3 binary64))))
(-.f64 #s(approx (- 1 (/ 1 (* x 9))) (/.f64 #s(literal -1/9 binary64) x)) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) y)))
(fma.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) (/.f64 y #s(literal 3 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)))
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 3 binary64) x) #s(literal 3 binary64)))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -9 binary64))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) y)))
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) (/.f64 #s(approx (* (pow x -1/2) y) (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) #s(literal 3 binary64)))
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) #s(literal 3 binary64)) (sqrt.f64 x)))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (*.f64 (sqrt.f64 x) #s(literal 3 binary64)))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
#s(approx (- (- 1 (/ (/ -1 x) -9)) (/ y (* 3 (sqrt x)))) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 #s(literal -3 binary64) y)))
(fma.f64 (*.f64 y #s(literal -1/3 binary64)) (pow.f64 x #s(literal -1/2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)))
(*.f64 (fma.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) y (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x))) (/.f64 (fma.f64 #s(literal -1/3 binary64) (/.f64 y (sqrt.f64 x)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x))) (fma.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) y (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)))))
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) (/.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) y) #s(literal 3 binary64)))
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 #s(literal 3 binary64) y)))
Outputs
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) (/.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) y) #s(literal 3 binary64)))
Calls

3 calls:

18.0ms
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
18.0ms
y
18.0ms
x
Results
AccuracySegmentsBranch
99.7%1x
99.7%1y
99.7%1(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
Compiler

Compiled 16 to 16 computations (0% saved)

regimes55.0ms (0.7%)

Memory
-13.2MiB live, 108.5MiB allocated
Counts
56 → 1
Calls
Call 1
Inputs
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) #s(approx (- 1 (/ 1/9 x)) #s(literal 1 binary64)))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) #s(approx (- 1 (/ 1/9 x)) (/.f64 #s(literal -1/9 binary64) x)))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) #s(approx (- 1 (/ (/ 1/3 (sqrt x)) (* (sqrt x) 3))) (/.f64 #s(literal -1/9 binary64) x)))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) #s(approx (- 1 (/ (/ 1/3 (sqrt x)) (* (sqrt x) 3))) (*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/9 binary64))))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) #s(approx (- 1 (/ (/ 1/3 (sqrt x)) (* (sqrt x) 3))) (/.f64 #s(literal -1/3 binary64) (*.f64 #s(literal 3 binary64) x))))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) #s(approx (- 1 (/ (/ 1/3 (sqrt x)) (* (sqrt x) 3))) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -9 binary64) x))))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (fma.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/9 binary64) #s(literal 1 binary64)))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 3 binary64) x))))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 9 binary64) x))))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) #s(approx (- 1 (/ (/ 1/3 (sqrt x)) (* (sqrt x) 3))) (/.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 9 binary64))))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) #s(approx (- 1 (/ (/ 1/3 (sqrt x)) (* (sqrt x) 3))) (/.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64))))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -9 binary64))))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 3 binary64))))
#s(approx (- (- 1 (/ (/ -1 x) -9)) (/ y (* 3 (sqrt x)))) (*.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y))
#s(approx (- (- 1 (/ (/ -1 x) -9)) (/ y (* 3 (sqrt x)))) (*.f64 (/.f64 y (sqrt.f64 x)) #s(literal -1/3 binary64)))
#s(approx (- (- 1 (/ (/ -1 x) -9)) (/ y (* 3 (sqrt x)))) (/.f64 y (*.f64 #s(literal -3 binary64) (sqrt.f64 x))))
#s(approx (- (- 1 (/ (/ -1 x) -9)) (/ y (* 3 (sqrt x)))) (/.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 x)))
(-.f64 #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
(-.f64 #s(approx (- 1 (/ (/ -1 x) -9)) #s(literal 1 binary64)) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (*.f64 (*.f64 y #s(literal -1/3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 #s(approx (- x (+ (* (* (sqrt x) y) 1/3) 1/9)) (*.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 x))) x))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 #s(approx (- x (+ (* (* (sqrt x) y) 1/3) 1/9)) (*.f64 (*.f64 (sqrt.f64 x) y) #s(literal -1/3 binary64))) x))
#s(approx (- (- 1 (/ 1 (* (* (* (sqrt x) 3) 3) (sqrt x)))) (/ y (* 3 (sqrt x)))) (*.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
#s(approx (- (- 1 (/ (/ -1 x) -9)) (/ y (* 3 (sqrt x)))) (*.f64 (*.f64 y #s(literal -1/3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 (fma.f64 (*.f64 (sqrt.f64 x) y) #s(literal -1/3 binary64) #s(literal -1/9 binary64)) x))
#s(approx (- (- 1 (/ 1 (* (* (* (sqrt x) 3) 3) (sqrt x)))) (/ y (* 3 (sqrt x)))) (/.f64 (fma.f64 (*.f64 (sqrt.f64 x) #s(literal -1/3 binary64)) y #s(literal -1/9 binary64)) x))
#s(approx (- (- 1 (/ (/ -1 x) -9)) (/ y (* 3 (sqrt x)))) (/.f64 (fma.f64 (*.f64 (sqrt.f64 x) #s(literal -1/3 binary64)) y #s(literal -1/9 binary64)) x))
#s(approx (- (- 1 (/ (/ -1 x) -9)) (/ y (* 3 (sqrt x)))) (/.f64 (fma.f64 (*.f64 (sqrt.f64 x) y) #s(literal -1/3 binary64) #s(literal -1/9 binary64)) x))
(fma.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) (*.f64 #s(literal 1/3 binary64) y) #s(approx (- 1 (/ 1/9 x)) #s(literal 1 binary64)))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 (-.f64 x (fma.f64 (*.f64 (sqrt.f64 x) y) #s(literal 1/3 binary64) #s(literal 1/9 binary64))) x))
#s(approx (- (- 1 (/ (/ -1 x) -9)) (/ y (* 3 (sqrt x)))) (/.f64 #s(literal -1 binary64) (/.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) y)))
(fma.f64 #s(literal -1/3 binary64) (/.f64 y (sqrt.f64 x)) #s(approx (- 1 (/ 1/9 x)) (/.f64 #s(literal -1/9 binary64) x)))
(-.f64 #s(approx (- 1 (/ 1 (* x 9))) (/.f64 #s(literal -1/9 binary64) x)) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
(fma.f64 #s(literal -1/3 binary64) (/.f64 y (sqrt.f64 x)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)))
(fma.f64 (/.f64 y (sqrt.f64 x)) #s(literal -1/3 binary64) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) #s(approx (- 1 (/ (/ 1/3 (sqrt x)) (* (sqrt x) 3))) (/.f64 (/.f64 #s(literal -1/9 binary64) (sqrt.f64 x)) (sqrt.f64 x))))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) (neg.f64 (sqrt.f64 x))))))
(fma.f64 (*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) y) #s(literal 1/3 binary64) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)))
(fma.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/9 binary64) (-.f64 #s(literal 1 binary64) (/.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64)))))
(fma.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) (*.f64 #s(literal 1/3 binary64) y) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)))
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (*.f64 (sqrt.f64 x) #s(literal 3 binary64)))))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 (-.f64 (*.f64 x x) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal 1/9 binary64)) x)) (*.f64 x x)))
(-.f64 #s(approx (- 1 (/ 1 (* x 9))) (/.f64 #s(literal -1/9 binary64) x)) (*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) (/.f64 y #s(literal -3 binary64))))
(-.f64 #s(approx (- 1 (/ 1 (* x 9))) (/.f64 #s(literal -1/9 binary64) x)) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) y)))
(fma.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) (/.f64 y #s(literal 3 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)))
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 3 binary64) x) #s(literal 3 binary64)))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -9 binary64))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) y)))
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) (/.f64 #s(approx (* (pow x -1/2) y) (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) #s(literal 3 binary64)))
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) #s(literal 3 binary64)) (sqrt.f64 x)))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (*.f64 (sqrt.f64 x) #s(literal 3 binary64)))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
#s(approx (- (- 1 (/ (/ -1 x) -9)) (/ y (* 3 (sqrt x)))) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 #s(literal -3 binary64) y)))
(fma.f64 (*.f64 y #s(literal -1/3 binary64)) (pow.f64 x #s(literal -1/2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)))
(*.f64 (fma.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) y (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x))) (/.f64 (fma.f64 #s(literal -1/3 binary64) (/.f64 y (sqrt.f64 x)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x))) (fma.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) y (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)))))
Outputs
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -9 binary64))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
Calls

3 calls:

18.0ms
x
17.0ms
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
15.0ms
y
Results
AccuracySegmentsBranch
99.7%1x
99.7%1y
99.7%1(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
Compiler

Compiled 16 to 16 computations (0% saved)

regimes49.0ms (0.6%)

Memory
0.3MiB live, 76.1MiB allocated
Counts
48 → 1
Calls
Call 1
Inputs
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) #s(approx (- 1 (/ 1/9 x)) #s(literal 1 binary64)))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) #s(approx (- 1 (/ 1/9 x)) (/.f64 #s(literal -1/9 binary64) x)))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) #s(approx (- 1 (/ (/ 1/3 (sqrt x)) (* (sqrt x) 3))) (/.f64 #s(literal -1/9 binary64) x)))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) #s(approx (- 1 (/ (/ 1/3 (sqrt x)) (* (sqrt x) 3))) (*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/9 binary64))))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) #s(approx (- 1 (/ (/ 1/3 (sqrt x)) (* (sqrt x) 3))) (/.f64 #s(literal -1/3 binary64) (*.f64 #s(literal 3 binary64) x))))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) #s(approx (- 1 (/ (/ 1/3 (sqrt x)) (* (sqrt x) 3))) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -9 binary64) x))))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (fma.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/9 binary64) #s(literal 1 binary64)))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 3 binary64) x))))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 9 binary64) x))))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) #s(approx (- 1 (/ (/ 1/3 (sqrt x)) (* (sqrt x) 3))) (/.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 9 binary64))))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) #s(approx (- 1 (/ (/ 1/3 (sqrt x)) (* (sqrt x) 3))) (/.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64))))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -9 binary64))))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 3 binary64))))
#s(approx (- (- 1 (/ (/ -1 x) -9)) (/ y (* 3 (sqrt x)))) (*.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y))
#s(approx (- (- 1 (/ (/ -1 x) -9)) (/ y (* 3 (sqrt x)))) (*.f64 (/.f64 y (sqrt.f64 x)) #s(literal -1/3 binary64)))
#s(approx (- (- 1 (/ (/ -1 x) -9)) (/ y (* 3 (sqrt x)))) (/.f64 y (*.f64 #s(literal -3 binary64) (sqrt.f64 x))))
#s(approx (- (- 1 (/ (/ -1 x) -9)) (/ y (* 3 (sqrt x)))) (/.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 x)))
(-.f64 #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
(-.f64 #s(approx (- 1 (/ (/ -1 x) -9)) #s(literal 1 binary64)) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (*.f64 (*.f64 y #s(literal -1/3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 #s(approx (- x (+ (* (* (sqrt x) y) 1/3) 1/9)) (*.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 x))) x))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 #s(approx (- x (+ (* (* (sqrt x) y) 1/3) 1/9)) (*.f64 (*.f64 (sqrt.f64 x) y) #s(literal -1/3 binary64))) x))
#s(approx (- (- 1 (/ 1 (* (* (* (sqrt x) 3) 3) (sqrt x)))) (/ y (* 3 (sqrt x)))) (*.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
#s(approx (- (- 1 (/ (/ -1 x) -9)) (/ y (* 3 (sqrt x)))) (*.f64 (*.f64 y #s(literal -1/3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 (fma.f64 (*.f64 (sqrt.f64 x) y) #s(literal -1/3 binary64) #s(literal -1/9 binary64)) x))
#s(approx (- (- 1 (/ 1 (* (* (* (sqrt x) 3) 3) (sqrt x)))) (/ y (* 3 (sqrt x)))) (/.f64 (fma.f64 (*.f64 (sqrt.f64 x) #s(literal -1/3 binary64)) y #s(literal -1/9 binary64)) x))
#s(approx (- (- 1 (/ (/ -1 x) -9)) (/ y (* 3 (sqrt x)))) (/.f64 (fma.f64 (*.f64 (sqrt.f64 x) #s(literal -1/3 binary64)) y #s(literal -1/9 binary64)) x))
#s(approx (- (- 1 (/ (/ -1 x) -9)) (/ y (* 3 (sqrt x)))) (/.f64 (fma.f64 (*.f64 (sqrt.f64 x) y) #s(literal -1/3 binary64) #s(literal -1/9 binary64)) x))
(fma.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) (*.f64 #s(literal 1/3 binary64) y) #s(approx (- 1 (/ 1/9 x)) #s(literal 1 binary64)))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 (-.f64 x (fma.f64 (*.f64 (sqrt.f64 x) y) #s(literal 1/3 binary64) #s(literal 1/9 binary64))) x))
#s(approx (- (- 1 (/ (/ -1 x) -9)) (/ y (* 3 (sqrt x)))) (/.f64 #s(literal -1 binary64) (/.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) y)))
(fma.f64 #s(literal -1/3 binary64) (/.f64 y (sqrt.f64 x)) #s(approx (- 1 (/ 1/9 x)) (/.f64 #s(literal -1/9 binary64) x)))
(-.f64 #s(approx (- 1 (/ 1 (* x 9))) (/.f64 #s(literal -1/9 binary64) x)) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
(fma.f64 #s(literal -1/3 binary64) (/.f64 y (sqrt.f64 x)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)))
(fma.f64 (/.f64 y (sqrt.f64 x)) #s(literal -1/3 binary64) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) #s(approx (- 1 (/ (/ 1/3 (sqrt x)) (* (sqrt x) 3))) (/.f64 (/.f64 #s(literal -1/9 binary64) (sqrt.f64 x)) (sqrt.f64 x))))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) (neg.f64 (sqrt.f64 x))))))
(fma.f64 (*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) y) #s(literal 1/3 binary64) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)))
(fma.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/9 binary64) (-.f64 #s(literal 1 binary64) (/.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64)))))
(fma.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) (*.f64 #s(literal 1/3 binary64) y) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)))
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (*.f64 (sqrt.f64 x) #s(literal 3 binary64)))))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 (-.f64 (*.f64 x x) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal 1/9 binary64)) x)) (*.f64 x x)))
(-.f64 #s(approx (- 1 (/ 1 (* x 9))) (/.f64 #s(literal -1/9 binary64) x)) (*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) (/.f64 y #s(literal -3 binary64))))
(-.f64 #s(approx (- 1 (/ 1 (* x 9))) (/.f64 #s(literal -1/9 binary64) x)) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) y)))
(fma.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) (/.f64 y #s(literal 3 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)))
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 3 binary64) x) #s(literal 3 binary64)))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
Outputs
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
Calls

3 calls:

17.0ms
y
16.0ms
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
14.0ms
x
Results
AccuracySegmentsBranch
99.6%1(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
99.6%1x
99.6%1y
Compiler

Compiled 16 to 16 computations (0% saved)

regimes49.0ms (0.6%)

Memory
-20.9MiB live, 70.1MiB allocated
Counts
41 → 1
Calls
Call 1
Inputs
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) #s(approx (- 1 (/ 1/9 x)) #s(literal 1 binary64)))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) #s(approx (- 1 (/ 1/9 x)) (/.f64 #s(literal -1/9 binary64) x)))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) #s(approx (- 1 (/ (/ 1/3 (sqrt x)) (* (sqrt x) 3))) (/.f64 #s(literal -1/9 binary64) x)))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) #s(approx (- 1 (/ (/ 1/3 (sqrt x)) (* (sqrt x) 3))) (*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/9 binary64))))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) #s(approx (- 1 (/ (/ 1/3 (sqrt x)) (* (sqrt x) 3))) (/.f64 #s(literal -1/3 binary64) (*.f64 #s(literal 3 binary64) x))))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) #s(approx (- 1 (/ (/ 1/3 (sqrt x)) (* (sqrt x) 3))) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -9 binary64) x))))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (fma.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/9 binary64) #s(literal 1 binary64)))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 3 binary64) x))))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 9 binary64) x))))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) #s(approx (- 1 (/ (/ 1/3 (sqrt x)) (* (sqrt x) 3))) (/.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 9 binary64))))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) #s(approx (- 1 (/ (/ 1/3 (sqrt x)) (* (sqrt x) 3))) (/.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64))))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -9 binary64))))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 3 binary64))))
#s(approx (- (- 1 (/ (/ -1 x) -9)) (/ y (* 3 (sqrt x)))) (*.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y))
#s(approx (- (- 1 (/ (/ -1 x) -9)) (/ y (* 3 (sqrt x)))) (*.f64 (/.f64 y (sqrt.f64 x)) #s(literal -1/3 binary64)))
#s(approx (- (- 1 (/ (/ -1 x) -9)) (/ y (* 3 (sqrt x)))) (/.f64 y (*.f64 #s(literal -3 binary64) (sqrt.f64 x))))
#s(approx (- (- 1 (/ (/ -1 x) -9)) (/ y (* 3 (sqrt x)))) (/.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 x)))
(-.f64 #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
(-.f64 #s(approx (- 1 (/ (/ -1 x) -9)) #s(literal 1 binary64)) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (*.f64 (*.f64 y #s(literal -1/3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 #s(approx (- x (+ (* (* (sqrt x) y) 1/3) 1/9)) (*.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 x))) x))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 #s(approx (- x (+ (* (* (sqrt x) y) 1/3) 1/9)) (*.f64 (*.f64 (sqrt.f64 x) y) #s(literal -1/3 binary64))) x))
#s(approx (- (- 1 (/ 1 (* (* (* (sqrt x) 3) 3) (sqrt x)))) (/ y (* 3 (sqrt x)))) (*.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
#s(approx (- (- 1 (/ (/ -1 x) -9)) (/ y (* 3 (sqrt x)))) (*.f64 (*.f64 y #s(literal -1/3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 (fma.f64 (*.f64 (sqrt.f64 x) y) #s(literal -1/3 binary64) #s(literal -1/9 binary64)) x))
#s(approx (- (- 1 (/ 1 (* (* (* (sqrt x) 3) 3) (sqrt x)))) (/ y (* 3 (sqrt x)))) (/.f64 (fma.f64 (*.f64 (sqrt.f64 x) #s(literal -1/3 binary64)) y #s(literal -1/9 binary64)) x))
#s(approx (- (- 1 (/ (/ -1 x) -9)) (/ y (* 3 (sqrt x)))) (/.f64 (fma.f64 (*.f64 (sqrt.f64 x) #s(literal -1/3 binary64)) y #s(literal -1/9 binary64)) x))
#s(approx (- (- 1 (/ (/ -1 x) -9)) (/ y (* 3 (sqrt x)))) (/.f64 (fma.f64 (*.f64 (sqrt.f64 x) y) #s(literal -1/3 binary64) #s(literal -1/9 binary64)) x))
(fma.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) (*.f64 #s(literal 1/3 binary64) y) #s(approx (- 1 (/ 1/9 x)) #s(literal 1 binary64)))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 (-.f64 x (fma.f64 (*.f64 (sqrt.f64 x) y) #s(literal 1/3 binary64) #s(literal 1/9 binary64))) x))
#s(approx (- (- 1 (/ (/ -1 x) -9)) (/ y (* 3 (sqrt x)))) (/.f64 #s(literal -1 binary64) (/.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) y)))
(fma.f64 #s(literal -1/3 binary64) (/.f64 y (sqrt.f64 x)) #s(approx (- 1 (/ 1/9 x)) (/.f64 #s(literal -1/9 binary64) x)))
(-.f64 #s(approx (- 1 (/ 1 (* x 9))) (/.f64 #s(literal -1/9 binary64) x)) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
(fma.f64 #s(literal -1/3 binary64) (/.f64 y (sqrt.f64 x)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)))
(fma.f64 (/.f64 y (sqrt.f64 x)) #s(literal -1/3 binary64) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) #s(approx (- 1 (/ (/ 1/3 (sqrt x)) (* (sqrt x) 3))) (/.f64 (/.f64 #s(literal -1/9 binary64) (sqrt.f64 x)) (sqrt.f64 x))))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) (neg.f64 (sqrt.f64 x))))))
(fma.f64 (*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) y) #s(literal 1/3 binary64) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)))
(fma.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/9 binary64) (-.f64 #s(literal 1 binary64) (/.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64)))))
(fma.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) (*.f64 #s(literal 1/3 binary64) y) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)))
Outputs
(fma.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/9 binary64) (-.f64 #s(literal 1 binary64) (/.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64)))))
Calls

3 calls:

20.0ms
y
15.0ms
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
12.0ms
x
Results
AccuracySegmentsBranch
99.6%1(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
99.6%1x
99.6%1y
Compiler

Compiled 16 to 16 computations (0% saved)

regimes117.0ms (1.4%)

Memory
-3.0MiB live, 74.3MiB allocated
Counts
39 → 1
Calls
Call 1
Inputs
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) #s(approx (- 1 (/ 1/9 x)) #s(literal 1 binary64)))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) #s(approx (- 1 (/ 1/9 x)) (/.f64 #s(literal -1/9 binary64) x)))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) #s(approx (- 1 (/ (/ 1/3 (sqrt x)) (* (sqrt x) 3))) (/.f64 #s(literal -1/9 binary64) x)))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) #s(approx (- 1 (/ (/ 1/3 (sqrt x)) (* (sqrt x) 3))) (*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/9 binary64))))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) #s(approx (- 1 (/ (/ 1/3 (sqrt x)) (* (sqrt x) 3))) (/.f64 #s(literal -1/3 binary64) (*.f64 #s(literal 3 binary64) x))))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) #s(approx (- 1 (/ (/ 1/3 (sqrt x)) (* (sqrt x) 3))) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -9 binary64) x))))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (fma.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/9 binary64) #s(literal 1 binary64)))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 3 binary64) x))))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 9 binary64) x))))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) #s(approx (- 1 (/ (/ 1/3 (sqrt x)) (* (sqrt x) 3))) (/.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 9 binary64))))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) #s(approx (- 1 (/ (/ 1/3 (sqrt x)) (* (sqrt x) 3))) (/.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64))))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -9 binary64))))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 3 binary64))))
#s(approx (- (- 1 (/ (/ -1 x) -9)) (/ y (* 3 (sqrt x)))) (*.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y))
#s(approx (- (- 1 (/ (/ -1 x) -9)) (/ y (* 3 (sqrt x)))) (*.f64 (/.f64 y (sqrt.f64 x)) #s(literal -1/3 binary64)))
#s(approx (- (- 1 (/ (/ -1 x) -9)) (/ y (* 3 (sqrt x)))) (/.f64 y (*.f64 #s(literal -3 binary64) (sqrt.f64 x))))
#s(approx (- (- 1 (/ (/ -1 x) -9)) (/ y (* 3 (sqrt x)))) (/.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 x)))
(-.f64 #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
(-.f64 #s(approx (- 1 (/ (/ -1 x) -9)) #s(literal 1 binary64)) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (*.f64 (*.f64 y #s(literal -1/3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 #s(approx (- x (+ (* (* (sqrt x) y) 1/3) 1/9)) (*.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 x))) x))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 #s(approx (- x (+ (* (* (sqrt x) y) 1/3) 1/9)) (*.f64 (*.f64 (sqrt.f64 x) y) #s(literal -1/3 binary64))) x))
#s(approx (- (- 1 (/ 1 (* (* (* (sqrt x) 3) 3) (sqrt x)))) (/ y (* 3 (sqrt x)))) (*.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
#s(approx (- (- 1 (/ (/ -1 x) -9)) (/ y (* 3 (sqrt x)))) (*.f64 (*.f64 y #s(literal -1/3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 (fma.f64 (*.f64 (sqrt.f64 x) y) #s(literal -1/3 binary64) #s(literal -1/9 binary64)) x))
#s(approx (- (- 1 (/ 1 (* (* (* (sqrt x) 3) 3) (sqrt x)))) (/ y (* 3 (sqrt x)))) (/.f64 (fma.f64 (*.f64 (sqrt.f64 x) #s(literal -1/3 binary64)) y #s(literal -1/9 binary64)) x))
#s(approx (- (- 1 (/ (/ -1 x) -9)) (/ y (* 3 (sqrt x)))) (/.f64 (fma.f64 (*.f64 (sqrt.f64 x) #s(literal -1/3 binary64)) y #s(literal -1/9 binary64)) x))
#s(approx (- (- 1 (/ (/ -1 x) -9)) (/ y (* 3 (sqrt x)))) (/.f64 (fma.f64 (*.f64 (sqrt.f64 x) y) #s(literal -1/3 binary64) #s(literal -1/9 binary64)) x))
(fma.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) (*.f64 #s(literal 1/3 binary64) y) #s(approx (- 1 (/ 1/9 x)) #s(literal 1 binary64)))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 (-.f64 x (fma.f64 (*.f64 (sqrt.f64 x) y) #s(literal 1/3 binary64) #s(literal 1/9 binary64))) x))
#s(approx (- (- 1 (/ (/ -1 x) -9)) (/ y (* 3 (sqrt x)))) (/.f64 #s(literal -1 binary64) (/.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) y)))
(fma.f64 #s(literal -1/3 binary64) (/.f64 y (sqrt.f64 x)) #s(approx (- 1 (/ 1/9 x)) (/.f64 #s(literal -1/9 binary64) x)))
(-.f64 #s(approx (- 1 (/ 1 (* x 9))) (/.f64 #s(literal -1/9 binary64) x)) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
(fma.f64 #s(literal -1/3 binary64) (/.f64 y (sqrt.f64 x)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)))
(fma.f64 (/.f64 y (sqrt.f64 x)) #s(literal -1/3 binary64) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) #s(approx (- 1 (/ (/ 1/3 (sqrt x)) (* (sqrt x) 3))) (/.f64 (/.f64 #s(literal -1/9 binary64) (sqrt.f64 x)) (sqrt.f64 x))))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) (neg.f64 (sqrt.f64 x))))))
(fma.f64 (*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) y) #s(literal 1/3 binary64) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)))
Outputs
(fma.f64 #s(literal -1/3 binary64) (/.f64 y (sqrt.f64 x)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)))
Calls

3 calls:

90.0ms
x
14.0ms
y
11.0ms
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
Results
AccuracySegmentsBranch
99.6%1x
99.6%1y
99.6%1(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
Compiler

Compiled 16 to 16 computations (0% saved)

regimes52.0ms (0.6%)

Memory
23.3MiB live, 66.5MiB allocated
Counts
34 → 2
Calls
Call 1
Inputs
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) #s(approx (- 1 (/ 1/9 x)) #s(literal 1 binary64)))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) #s(approx (- 1 (/ 1/9 x)) (/.f64 #s(literal -1/9 binary64) x)))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) #s(approx (- 1 (/ (/ 1/3 (sqrt x)) (* (sqrt x) 3))) (/.f64 #s(literal -1/9 binary64) x)))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) #s(approx (- 1 (/ (/ 1/3 (sqrt x)) (* (sqrt x) 3))) (*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/9 binary64))))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) #s(approx (- 1 (/ (/ 1/3 (sqrt x)) (* (sqrt x) 3))) (/.f64 #s(literal -1/3 binary64) (*.f64 #s(literal 3 binary64) x))))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) #s(approx (- 1 (/ (/ 1/3 (sqrt x)) (* (sqrt x) 3))) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -9 binary64) x))))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (fma.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/9 binary64) #s(literal 1 binary64)))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 3 binary64) x))))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 9 binary64) x))))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) #s(approx (- 1 (/ (/ 1/3 (sqrt x)) (* (sqrt x) 3))) (/.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 9 binary64))))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) #s(approx (- 1 (/ (/ 1/3 (sqrt x)) (* (sqrt x) 3))) (/.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64))))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -9 binary64))))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 3 binary64))))
#s(approx (- (- 1 (/ (/ -1 x) -9)) (/ y (* 3 (sqrt x)))) (*.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y))
#s(approx (- (- 1 (/ (/ -1 x) -9)) (/ y (* 3 (sqrt x)))) (*.f64 (/.f64 y (sqrt.f64 x)) #s(literal -1/3 binary64)))
#s(approx (- (- 1 (/ (/ -1 x) -9)) (/ y (* 3 (sqrt x)))) (/.f64 y (*.f64 #s(literal -3 binary64) (sqrt.f64 x))))
#s(approx (- (- 1 (/ (/ -1 x) -9)) (/ y (* 3 (sqrt x)))) (/.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 x)))
(-.f64 #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
(-.f64 #s(approx (- 1 (/ (/ -1 x) -9)) #s(literal 1 binary64)) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (*.f64 (*.f64 y #s(literal -1/3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 #s(approx (- x (+ (* (* (sqrt x) y) 1/3) 1/9)) (*.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 x))) x))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 #s(approx (- x (+ (* (* (sqrt x) y) 1/3) 1/9)) (*.f64 (*.f64 (sqrt.f64 x) y) #s(literal -1/3 binary64))) x))
#s(approx (- (- 1 (/ 1 (* (* (* (sqrt x) 3) 3) (sqrt x)))) (/ y (* 3 (sqrt x)))) (*.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
#s(approx (- (- 1 (/ (/ -1 x) -9)) (/ y (* 3 (sqrt x)))) (*.f64 (*.f64 y #s(literal -1/3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 (fma.f64 (*.f64 (sqrt.f64 x) y) #s(literal -1/3 binary64) #s(literal -1/9 binary64)) x))
#s(approx (- (- 1 (/ 1 (* (* (* (sqrt x) 3) 3) (sqrt x)))) (/ y (* 3 (sqrt x)))) (/.f64 (fma.f64 (*.f64 (sqrt.f64 x) #s(literal -1/3 binary64)) y #s(literal -1/9 binary64)) x))
#s(approx (- (- 1 (/ (/ -1 x) -9)) (/ y (* 3 (sqrt x)))) (/.f64 (fma.f64 (*.f64 (sqrt.f64 x) #s(literal -1/3 binary64)) y #s(literal -1/9 binary64)) x))
#s(approx (- (- 1 (/ (/ -1 x) -9)) (/ y (* 3 (sqrt x)))) (/.f64 (fma.f64 (*.f64 (sqrt.f64 x) y) #s(literal -1/3 binary64) #s(literal -1/9 binary64)) x))
(fma.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) (*.f64 #s(literal 1/3 binary64) y) #s(approx (- 1 (/ 1/9 x)) #s(literal 1 binary64)))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 (-.f64 x (fma.f64 (*.f64 (sqrt.f64 x) y) #s(literal 1/3 binary64) #s(literal 1/9 binary64))) x))
#s(approx (- (- 1 (/ (/ -1 x) -9)) (/ y (* 3 (sqrt x)))) (/.f64 #s(literal -1 binary64) (/.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) y)))
(fma.f64 #s(literal -1/3 binary64) (/.f64 y (sqrt.f64 x)) #s(approx (- 1 (/ 1/9 x)) (/.f64 #s(literal -1/9 binary64) x)))
(-.f64 #s(approx (- 1 (/ 1 (* x 9))) (/.f64 #s(literal -1/9 binary64) x)) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
Outputs
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 (-.f64 x (fma.f64 (*.f64 (sqrt.f64 x) y) #s(literal 1/3 binary64) #s(literal 1/9 binary64))) x))
(-.f64 #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
Calls

3 calls:

31.0ms
y
10.0ms
x
10.0ms
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
Results
AccuracySegmentsBranch
99.6%2x
99.6%3y
98.4%2(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
Compiler

Compiled 16 to 16 computations (0% saved)

regimes39.0ms (0.5%)

Memory
-17.5MiB live, 20.5MiB allocated
Counts
30 → 2
Calls
Call 1
Inputs
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) #s(approx (- 1 (/ 1/9 x)) #s(literal 1 binary64)))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) #s(approx (- 1 (/ 1/9 x)) (/.f64 #s(literal -1/9 binary64) x)))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) #s(approx (- 1 (/ (/ 1/3 (sqrt x)) (* (sqrt x) 3))) (/.f64 #s(literal -1/9 binary64) x)))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) #s(approx (- 1 (/ (/ 1/3 (sqrt x)) (* (sqrt x) 3))) (*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/9 binary64))))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) #s(approx (- 1 (/ (/ 1/3 (sqrt x)) (* (sqrt x) 3))) (/.f64 #s(literal -1/3 binary64) (*.f64 #s(literal 3 binary64) x))))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) #s(approx (- 1 (/ (/ 1/3 (sqrt x)) (* (sqrt x) 3))) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -9 binary64) x))))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (fma.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/9 binary64) #s(literal 1 binary64)))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 3 binary64) x))))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 9 binary64) x))))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) #s(approx (- 1 (/ (/ 1/3 (sqrt x)) (* (sqrt x) 3))) (/.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 9 binary64))))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) #s(approx (- 1 (/ (/ 1/3 (sqrt x)) (* (sqrt x) 3))) (/.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64))))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -9 binary64))))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 3 binary64))))
#s(approx (- (- 1 (/ (/ -1 x) -9)) (/ y (* 3 (sqrt x)))) (*.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y))
#s(approx (- (- 1 (/ (/ -1 x) -9)) (/ y (* 3 (sqrt x)))) (*.f64 (/.f64 y (sqrt.f64 x)) #s(literal -1/3 binary64)))
#s(approx (- (- 1 (/ (/ -1 x) -9)) (/ y (* 3 (sqrt x)))) (/.f64 y (*.f64 #s(literal -3 binary64) (sqrt.f64 x))))
#s(approx (- (- 1 (/ (/ -1 x) -9)) (/ y (* 3 (sqrt x)))) (/.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 x)))
(-.f64 #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
(-.f64 #s(approx (- 1 (/ (/ -1 x) -9)) #s(literal 1 binary64)) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (*.f64 (*.f64 y #s(literal -1/3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 #s(approx (- x (+ (* (* (sqrt x) y) 1/3) 1/9)) (*.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 x))) x))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 #s(approx (- x (+ (* (* (sqrt x) y) 1/3) 1/9)) (*.f64 (*.f64 (sqrt.f64 x) y) #s(literal -1/3 binary64))) x))
#s(approx (- (- 1 (/ 1 (* (* (* (sqrt x) 3) 3) (sqrt x)))) (/ y (* 3 (sqrt x)))) (*.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
#s(approx (- (- 1 (/ (/ -1 x) -9)) (/ y (* 3 (sqrt x)))) (*.f64 (*.f64 y #s(literal -1/3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 (fma.f64 (*.f64 (sqrt.f64 x) y) #s(literal -1/3 binary64) #s(literal -1/9 binary64)) x))
#s(approx (- (- 1 (/ 1 (* (* (* (sqrt x) 3) 3) (sqrt x)))) (/ y (* 3 (sqrt x)))) (/.f64 (fma.f64 (*.f64 (sqrt.f64 x) #s(literal -1/3 binary64)) y #s(literal -1/9 binary64)) x))
#s(approx (- (- 1 (/ (/ -1 x) -9)) (/ y (* 3 (sqrt x)))) (/.f64 (fma.f64 (*.f64 (sqrt.f64 x) #s(literal -1/3 binary64)) y #s(literal -1/9 binary64)) x))
#s(approx (- (- 1 (/ (/ -1 x) -9)) (/ y (* 3 (sqrt x)))) (/.f64 (fma.f64 (*.f64 (sqrt.f64 x) y) #s(literal -1/3 binary64) #s(literal -1/9 binary64)) x))
(fma.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) (*.f64 #s(literal 1/3 binary64) y) #s(approx (- 1 (/ 1/9 x)) #s(literal 1 binary64)))
Outputs
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 (fma.f64 (*.f64 (sqrt.f64 x) y) #s(literal -1/3 binary64) #s(literal -1/9 binary64)) x))
(-.f64 #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
Calls

1 calls:

38.0ms
x
Results
AccuracySegmentsBranch
98.5%2x
Compiler

Compiled 1 to 2 computations (-100% saved)

regimes37.0ms (0.4%)

Memory
22.0MiB live, 61.2MiB allocated
Counts
25 → 3
Calls
Call 1
Inputs
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) #s(approx (- 1 (/ 1/9 x)) #s(literal 1 binary64)))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) #s(approx (- 1 (/ 1/9 x)) (/.f64 #s(literal -1/9 binary64) x)))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) #s(approx (- 1 (/ (/ 1/3 (sqrt x)) (* (sqrt x) 3))) (/.f64 #s(literal -1/9 binary64) x)))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) #s(approx (- 1 (/ (/ 1/3 (sqrt x)) (* (sqrt x) 3))) (*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/9 binary64))))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) #s(approx (- 1 (/ (/ 1/3 (sqrt x)) (* (sqrt x) 3))) (/.f64 #s(literal -1/3 binary64) (*.f64 #s(literal 3 binary64) x))))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) #s(approx (- 1 (/ (/ 1/3 (sqrt x)) (* (sqrt x) 3))) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -9 binary64) x))))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (fma.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/9 binary64) #s(literal 1 binary64)))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 3 binary64) x))))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 9 binary64) x))))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) #s(approx (- 1 (/ (/ 1/3 (sqrt x)) (* (sqrt x) 3))) (/.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 9 binary64))))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) #s(approx (- 1 (/ (/ 1/3 (sqrt x)) (* (sqrt x) 3))) (/.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64))))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -9 binary64))))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 3 binary64))))
#s(approx (- (- 1 (/ (/ -1 x) -9)) (/ y (* 3 (sqrt x)))) (*.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y))
#s(approx (- (- 1 (/ (/ -1 x) -9)) (/ y (* 3 (sqrt x)))) (*.f64 (/.f64 y (sqrt.f64 x)) #s(literal -1/3 binary64)))
#s(approx (- (- 1 (/ (/ -1 x) -9)) (/ y (* 3 (sqrt x)))) (/.f64 y (*.f64 #s(literal -3 binary64) (sqrt.f64 x))))
#s(approx (- (- 1 (/ (/ -1 x) -9)) (/ y (* 3 (sqrt x)))) (/.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 x)))
(-.f64 #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
(-.f64 #s(approx (- 1 (/ (/ -1 x) -9)) #s(literal 1 binary64)) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (*.f64 (*.f64 y #s(literal -1/3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 #s(approx (- x (+ (* (* (sqrt x) y) 1/3) 1/9)) (*.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 x))) x))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 #s(approx (- x (+ (* (* (sqrt x) y) 1/3) 1/9)) (*.f64 (*.f64 (sqrt.f64 x) y) #s(literal -1/3 binary64))) x))
#s(approx (- (- 1 (/ 1 (* (* (* (sqrt x) 3) 3) (sqrt x)))) (/ y (* 3 (sqrt x)))) (*.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
#s(approx (- (- 1 (/ (/ -1 x) -9)) (/ y (* 3 (sqrt x)))) (*.f64 (*.f64 y #s(literal -1/3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
Outputs
(-.f64 #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -9 binary64))))
(-.f64 #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
Calls

3 calls:

19.0ms
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
8.0ms
y
8.0ms
x
Results
AccuracySegmentsBranch
97.1%3y
82.6%3(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
84.4%2x
Compiler

Compiled 16 to 16 computations (0% saved)

regimes17.0ms (0.2%)

Memory
-18.3MiB live, 21.3MiB allocated
Counts
18 → 3
Calls
Call 1
Inputs
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) #s(approx (- 1 (/ 1/9 x)) #s(literal 1 binary64)))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) #s(approx (- 1 (/ 1/9 x)) (/.f64 #s(literal -1/9 binary64) x)))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) #s(approx (- 1 (/ (/ 1/3 (sqrt x)) (* (sqrt x) 3))) (/.f64 #s(literal -1/9 binary64) x)))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) #s(approx (- 1 (/ (/ 1/3 (sqrt x)) (* (sqrt x) 3))) (*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/9 binary64))))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) #s(approx (- 1 (/ (/ 1/3 (sqrt x)) (* (sqrt x) 3))) (/.f64 #s(literal -1/3 binary64) (*.f64 #s(literal 3 binary64) x))))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) #s(approx (- 1 (/ (/ 1/3 (sqrt x)) (* (sqrt x) 3))) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -9 binary64) x))))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (fma.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/9 binary64) #s(literal 1 binary64)))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 3 binary64) x))))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 9 binary64) x))))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) #s(approx (- 1 (/ (/ 1/3 (sqrt x)) (* (sqrt x) 3))) (/.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 9 binary64))))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) #s(approx (- 1 (/ (/ 1/3 (sqrt x)) (* (sqrt x) 3))) (/.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64))))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -9 binary64))))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 3 binary64))))
#s(approx (- (- 1 (/ (/ -1 x) -9)) (/ y (* 3 (sqrt x)))) (*.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y))
#s(approx (- (- 1 (/ (/ -1 x) -9)) (/ y (* 3 (sqrt x)))) (*.f64 (/.f64 y (sqrt.f64 x)) #s(literal -1/3 binary64)))
#s(approx (- (- 1 (/ (/ -1 x) -9)) (/ y (* 3 (sqrt x)))) (/.f64 y (*.f64 #s(literal -3 binary64) (sqrt.f64 x))))
#s(approx (- (- 1 (/ (/ -1 x) -9)) (/ y (* 3 (sqrt x)))) (/.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 x)))
Outputs
#s(approx (- (- 1 (/ (/ -1 x) -9)) (/ y (* 3 (sqrt x)))) (*.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -9 binary64))))
#s(approx (- (- 1 (/ (/ -1 x) -9)) (/ y (* 3 (sqrt x)))) (*.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y))
Calls

1 calls:

16.0ms
y
Results
AccuracySegmentsBranch
93.3%3y
Compiler

Compiled 1 to 2 computations (-100% saved)

regimes18.0ms (0.2%)

Memory
-3.8MiB live, 38.6MiB allocated
Counts
14 → 1
Calls
Call 1
Inputs
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) #s(approx (- 1 (/ 1/9 x)) #s(literal 1 binary64)))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) #s(approx (- 1 (/ 1/9 x)) (/.f64 #s(literal -1/9 binary64) x)))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) #s(approx (- 1 (/ (/ 1/3 (sqrt x)) (* (sqrt x) 3))) (/.f64 #s(literal -1/9 binary64) x)))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) #s(approx (- 1 (/ (/ 1/3 (sqrt x)) (* (sqrt x) 3))) (*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/9 binary64))))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) #s(approx (- 1 (/ (/ 1/3 (sqrt x)) (* (sqrt x) 3))) (/.f64 #s(literal -1/3 binary64) (*.f64 #s(literal 3 binary64) x))))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) #s(approx (- 1 (/ (/ 1/3 (sqrt x)) (* (sqrt x) 3))) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -9 binary64) x))))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (fma.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/9 binary64) #s(literal 1 binary64)))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 3 binary64) x))))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 9 binary64) x))))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) #s(approx (- 1 (/ (/ 1/3 (sqrt x)) (* (sqrt x) 3))) (/.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 9 binary64))))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) #s(approx (- 1 (/ (/ 1/3 (sqrt x)) (* (sqrt x) 3))) (/.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64))))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -9 binary64))))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 3 binary64))))
Outputs
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -9 binary64))))
Calls

3 calls:

8.0ms
x
5.0ms
y
5.0ms
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
Results
AccuracySegmentsBranch
61.6%1(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
61.6%1x
61.6%1y
Compiler

Compiled 16 to 16 computations (0% saved)

regimes14.0ms (0.2%)

Memory
-7.9MiB live, 31.7MiB allocated
Counts
12 → 1
Calls
Call 1
Inputs
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) #s(approx (- 1 (/ 1/9 x)) #s(literal 1 binary64)))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) #s(approx (- 1 (/ 1/9 x)) (/.f64 #s(literal -1/9 binary64) x)))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) #s(approx (- 1 (/ (/ 1/3 (sqrt x)) (* (sqrt x) 3))) (/.f64 #s(literal -1/9 binary64) x)))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) #s(approx (- 1 (/ (/ 1/3 (sqrt x)) (* (sqrt x) 3))) (*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/9 binary64))))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) #s(approx (- 1 (/ (/ 1/3 (sqrt x)) (* (sqrt x) 3))) (/.f64 #s(literal -1/3 binary64) (*.f64 #s(literal 3 binary64) x))))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) #s(approx (- 1 (/ (/ 1/3 (sqrt x)) (* (sqrt x) 3))) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -9 binary64) x))))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (fma.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/9 binary64) #s(literal 1 binary64)))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 3 binary64) x))))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 9 binary64) x))))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) #s(approx (- 1 (/ (/ 1/3 (sqrt x)) (* (sqrt x) 3))) (/.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 9 binary64))))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) #s(approx (- 1 (/ (/ 1/3 (sqrt x)) (* (sqrt x) 3))) (/.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64))))
Outputs
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 9 binary64) x))))
Calls

3 calls:

5.0ms
y
4.0ms
x
4.0ms
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
Results
AccuracySegmentsBranch
61.6%1y
61.6%1x
61.6%1(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
Compiler

Compiled 16 to 16 computations (0% saved)

regimes11.0ms (0.1%)

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

3 calls:

4.0ms
y
4.0ms
x
3.0ms
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
Results
AccuracySegmentsBranch
61.6%1y
61.6%1x
61.6%1(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
Compiler

Compiled 16 to 16 computations (0% saved)

regimes18.0ms (0.2%)

Memory
-12.3MiB live, 27.2MiB allocated
Counts
7 → 1
Calls
Call 1
Inputs
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) #s(approx (- 1 (/ 1/9 x)) #s(literal 1 binary64)))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) #s(approx (- 1 (/ 1/9 x)) (/.f64 #s(literal -1/9 binary64) x)))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) #s(approx (- 1 (/ (/ 1/3 (sqrt x)) (* (sqrt x) 3))) (/.f64 #s(literal -1/9 binary64) x)))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) #s(approx (- 1 (/ (/ 1/3 (sqrt x)) (* (sqrt x) 3))) (*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/9 binary64))))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) #s(approx (- 1 (/ (/ 1/3 (sqrt x)) (* (sqrt x) 3))) (/.f64 #s(literal -1/3 binary64) (*.f64 #s(literal 3 binary64) x))))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) #s(approx (- 1 (/ (/ 1/3 (sqrt x)) (* (sqrt x) 3))) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -9 binary64) x))))
Outputs
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)))
Calls

3 calls:

12.0ms
x
3.0ms
y
3.0ms
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
Results
AccuracySegmentsBranch
61.6%1y
61.6%1x
61.6%1(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
Compiler

Compiled 16 to 16 computations (0% saved)

regimes6.0ms (0.1%)

Memory
18.3MiB live, 18.3MiB allocated
Counts
3 → 2
Calls
Call 1
Inputs
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) #s(approx (- 1 (/ 1/9 x)) #s(literal 1 binary64)))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) #s(approx (- 1 (/ 1/9 x)) (/.f64 #s(literal -1/9 binary64) x)))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) #s(approx (- 1 (/ (/ 1/3 (sqrt x)) (* (sqrt x) 3))) (/.f64 #s(literal -1/9 binary64) x)))
Outputs
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) #s(approx (- 1 (/ 1/9 x)) (/.f64 #s(literal -1/9 binary64) x)))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) #s(approx (- 1 (/ 1/9 x)) #s(literal 1 binary64)))
Calls

3 calls:

2.0ms
y
2.0ms
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
2.0ms
x
Results
AccuracySegmentsBranch
38.3%3y
60.6%2x
61.1%2(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
Compiler

Compiled 16 to 16 computations (0% saved)

regimes35.0ms (0.4%)

Memory
-29.0MiB live, 10.7MiB allocated
Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

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

3 calls:

32.0ms
x
1.0ms
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
1.0ms
y
Results
AccuracySegmentsBranch
30.3%1y
30.3%1x
30.3%1(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
Compiler

Compiled 16 to 16 computations (0% saved)

bsearch12.0ms (0.1%)

Memory
15.3MiB live, 15.3MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
10.0ms
864224495453431.6
3922739380985682.5
Samples
6.0ms96×0valid
Compiler

Compiled 143 to 143 computations (0% saved)

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

bsearch6.0ms (0.1%)

Memory
7.8MiB live, 7.8MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
5.0ms
25.078183136728484
30.11557499955679
Samples
3.0ms48×0valid
Compiler

Compiled 74 to 77 computations (-4.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 2.0ms
ival-div: 1.0ms (48.4% of total)
ival-mult: 1.0ms (48.4% of total)
ival-sub: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
ival-sqrt: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch31.0ms (0.4%)

Memory
7.6MiB live, 47.7MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
11.0ms
1.3982756119678259e+53
4.43053024391326e+54
16.0ms
-1.4082773443376497e+66
-9.880306883993497e+63
Samples
14.0ms224×0valid
Compiler

Compiled 255 to 297 computations (-16.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 10.0ms
ival-div: 3.0ms (31.4% of total)
ival-mult: 3.0ms (31.4% of total)
ival-sub: 2.0ms (20.9% of total)
ival-sqrt: 2.0ms (20.9% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch26.0ms (0.3%)

Memory
-1.9MiB live, 36.9MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
10.0ms
1.3982756119678259e+53
4.43053024391326e+54
13.0ms
-1.8626559534724256e+92
-9.371081979040179e+89
Samples
15.0ms208×0valid
Compiler

Compiled 227 to 269 computations (-18.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 11.0ms
ival-div: 3.0ms (28.4% of total)
ival-sub: 3.0ms (28.4% of total)
ival-mult: 3.0ms (28.4% of total)
ival-sqrt: 1.0ms (9.5% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch0.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-11.988198608371
0.99631051005625
Compiler

Compiled 17 to 17 computations (0% saved)

simplify58.0ms (0.7%)

Memory
-29.9MiB live, 48.0MiB allocated
Algorithm
egg-herbie
Rules
60×sub-neg-binary64-neg.f64-+.f64--.f64
56×+-commutative-binary64-+.f64
48×*-commutative-binary64-*.f64
40×neg-sub0-binary64--.f64-neg.f64
40×neg-mul-1-binary64-*.f64-neg.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
095461
1122461
2163461
3213461
4249461
5265461
6269461
Stop Event
saturated
Calls
Call 1
Inputs
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) (/.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) y) #s(literal 3 binary64)))
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -9 binary64))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
(fma.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/9 binary64) (-.f64 #s(literal 1 binary64) (/.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64)))))
(fma.f64 #s(literal -1/3 binary64) (/.f64 y (sqrt.f64 x)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)))
(if (<=.f64 x #s(literal 1100000000000000 binary64)) #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 (-.f64 x (fma.f64 (*.f64 (sqrt.f64 x) y) #s(literal 1/3 binary64) #s(literal 1/9 binary64))) x)) (-.f64 #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))))
(if (<=.f64 x #s(literal 51/2 binary64)) #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 (fma.f64 (*.f64 (sqrt.f64 x) y) #s(literal -1/3 binary64) #s(literal -1/9 binary64)) x)) (-.f64 #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))))
(if (<=.f64 y #s(literal -10000000000000000213204190094543968723012578712679649467743338496 binary64)) (-.f64 #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) (if (<=.f64 y #s(literal 299999999999999997966284602308488392938512532583219200 binary64)) #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -9 binary64)))) (-.f64 #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))))
(if (<=.f64 y #s(literal -1299999999999999922505882886358090936773429906142127649985886156490049686133753935074164736 binary64)) #s(approx (- (- 1 (/ (/ -1 x) -9)) (/ y (* 3 (sqrt x)))) (*.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y)) (if (<=.f64 y #s(literal 3400000000000000062021817223064150985813460560551870464 binary64)) #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -9 binary64)))) #s(approx (- (- 1 (/ (/ -1 x) -9)) (/ y (* 3 (sqrt x)))) (*.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y))))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -9 binary64))))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 9 binary64) x))))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (fma.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/9 binary64) #s(literal 1 binary64)))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)))
(if (<=.f64 (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) #s(literal -10 binary64)) #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) #s(approx (- 1 (/ 1/9 x)) (/.f64 #s(literal -1/9 binary64) x))) #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) #s(approx (- 1 (/ 1/9 x)) #s(literal 1 binary64))))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) #s(approx (- 1 (/ 1/9 x)) #s(literal 1 binary64)))
Outputs
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) (/.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) y) #s(literal 3 binary64)))
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 9 binary64) x))) (/.f64 (*.f64 y (pow.f64 x #s(literal -1/2 binary64))) #s(literal 3 binary64)))
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -9 binary64))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -9 binary64))) (/.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64))))
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 9 binary64) x))) (/.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64))))
(fma.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/9 binary64) (-.f64 #s(literal 1 binary64) (/.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64)))))
(fma.f64 #s(literal -1/3 binary64) (/.f64 y (sqrt.f64 x)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)))
(if (<=.f64 x #s(literal 1100000000000000 binary64)) #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 (-.f64 x (fma.f64 (*.f64 (sqrt.f64 x) y) #s(literal 1/3 binary64) #s(literal 1/9 binary64))) x)) (-.f64 #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))))
(if (<=.f64 x #s(literal 1100000000000000 binary64)) #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 (-.f64 x (fma.f64 (*.f64 (sqrt.f64 x) y) #s(literal 1/3 binary64) #s(literal 1/9 binary64))) x)) (-.f64 #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) (/.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64)))))
(if (<=.f64 x #s(literal 51/2 binary64)) #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 (fma.f64 (*.f64 (sqrt.f64 x) y) #s(literal -1/3 binary64) #s(literal -1/9 binary64)) x)) (-.f64 #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))))
(if (<=.f64 x #s(literal 51/2 binary64)) #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 (fma.f64 (*.f64 (sqrt.f64 x) y) #s(literal -1/3 binary64) #s(literal -1/9 binary64)) x)) (-.f64 #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) (/.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64)))))
(if (<=.f64 y #s(literal -10000000000000000213204190094543968723012578712679649467743338496 binary64)) (-.f64 #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) (if (<=.f64 y #s(literal 299999999999999997966284602308488392938512532583219200 binary64)) #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -9 binary64)))) (-.f64 #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))))
(if (<=.f64 y #s(literal -10000000000000000213204190094543968723012578712679649467743338496 binary64)) (-.f64 #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) (/.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64)))) (if (<=.f64 y #s(literal 299999999999999997966284602308488392938512532583219200 binary64)) #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -9 binary64)))) (-.f64 #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) (/.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64))))))
(if (<=.f64 y #s(literal -1299999999999999922505882886358090936773429906142127649985886156490049686133753935074164736 binary64)) #s(approx (- (- 1 (/ (/ -1 x) -9)) (/ y (* 3 (sqrt x)))) (*.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y)) (if (<=.f64 y #s(literal 3400000000000000062021817223064150985813460560551870464 binary64)) #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -9 binary64)))) #s(approx (- (- 1 (/ (/ -1 x) -9)) (/ y (* 3 (sqrt x)))) (*.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y))))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -9 binary64))))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 9 binary64) x))))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (fma.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/9 binary64) #s(literal 1 binary64)))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)))
(if (<=.f64 (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) #s(literal -10 binary64)) #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) #s(approx (- 1 (/ 1/9 x)) (/.f64 #s(literal -1/9 binary64) x))) #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) #s(approx (- 1 (/ 1/9 x)) #s(literal 1 binary64))))
(if (<=.f64 (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 9 binary64) x))) (/.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64)))) #s(literal -10 binary64)) #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) #s(approx (- 1 (/ 1/9 x)) (/.f64 #s(literal -1/9 binary64) x))) #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) #s(approx (- 1 (/ 1/9 x)) #s(literal 1 binary64))))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) #s(approx (- 1 (/ 1/9 x)) #s(literal 1 binary64)))

soundness1.9s (23.1%)

Memory
25.0MiB live, 1 004.8MiB allocated
Rules
10 692×lower-fma.f64
10 692×lower-fma.f32
8 268×lower-fma.f64
8 268×lower-fma.f32
8 086×lower-fma.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
046234
063226
1268205
22662200
08537192
043200
070191
1287166
22937163
010268158
0972996
12622989
27512989
323242977
461962977
082322824
052221
075206
1281170
22847157
08488152
055660
1129660
2304659
3778659
41980659
53976659
65206659
76399659
87529659
97918659
08008638
01203245
13443202
29993178
329723178
468013178
082213006
01239
01939
17433
278933
0836632
Stop Event
fuel
iter limit
node limit
iter limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
Compiler

Compiled 587 to 371 computations (36.8% saved)

preprocess94.0ms (1.1%)

Memory
4.7MiB live, 196.2MiB allocated
Compiler

Compiled 528 to 202 computations (61.7% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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