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

Time bar (total: 10.0s)

analyze0.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated
Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
0%0%99.9%0.1%0%0%0%1
100%50%0%0.1%0%50%0%2
Compiler

Compiled 16 to 14 computations (12.5% saved)

sample922.0ms (9.2%)

Memory
4.2MiB live, 1 612.5MiB allocated
Samples
647.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 461.0ms
ival-div: 155.0ms (33.6% of total)
ival-mult: 143.0ms (31% of total)
ival-sub: 81.0ms (17.6% of total)
ival-sqrt: 61.0ms (13.2% of total)
exact: 11.0ms (2.4% of total)
ival-true: 6.0ms (1.3% of total)
ival-assert: 3.0ms (0.7% of total)
Bogosity

preprocess155.0ms (1.6%)

Memory
-14.5MiB live, 103.7MiB allocated
Algorithm
1×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
1×iter limit
1×saturated
1×iter limit
1×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))))
(+.f64 (/.f64 #s(literal -1/9 binary64) x) (fma.f64 y (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) #s(literal 1 binary64)))

explain143.0ms (1.4%)

Memory
29.1MiB live, 271.9MiB 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
52.0ms512×0valid
Compiler

Compiled 128 to 52 computations (59.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 27.0ms
ival-mult: 9.0ms (33.4% of total)
ival-div: 8.0ms (29.7% of total)
ival-sub: 5.0ms (18.6% of total)
ival-sqrt: 4.0ms (14.9% of total)
exact: 1.0ms (3.7% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

eval0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated
Compiler

Compiled 2 to 2 computations (0% saved)

prune1.0ms (0%)

Memory
1.1MiB live, 1.1MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶99.7%
(-.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 12 computations (25% saved)

simplify50.0ms (0.5%)

Memory
3.2MiB live, 41.8MiB allocated
Algorithm
1×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
1×iter limit
1×saturated
1×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))))
(+.f64 (/.f64 #s(literal -1/9 binary64) x) (fma.f64 y (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) #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))
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)

localize35.0ms (0.4%)

Memory
-12.5MiB live, 64.9MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(-.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))))
✓accuracy99.6%
(/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))
✓accuracy99.6%
(/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))
✓accuracy99.5%
(*.f64 #s(literal 3 binary64) (sqrt.f64 x))
Samples
20.0ms256×0valid
Compiler

Compiled 48 to 14 computations (70.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 11.0ms
ival-div: 3.0ms (26.9% of total)
ival-mult: 3.0ms (26.9% of total)
ival-sub: 2.0ms (17.9% of total)
ival-sqrt: 2.0ms (17.9% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series10.0ms (0.1%)

Memory
13.7MiB live, 13.7MiB allocated
Counts
6 → 96
Calls
Call 1
Inputs
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))>
#<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))))>
#<alt (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64))))>
#<alt (*.f64 x #s(literal 9 binary64))>
#<alt (*.f64 #s(literal 3 binary64) (sqrt.f64 x))>
#<alt (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))>
Outputs
#<alt (/ 1/9 x)>
#<alt (/ 1/9 x)>
#<alt (/ 1/9 x)>
#<alt (/ 1/9 x)>
#<alt (/ 1/9 x)>
#<alt (/ 1/9 x)>
#<alt (/ 1/9 x)>
#<alt (/ 1/9 x)>
#<alt (/ 1/9 x)>
#<alt (/ 1/9 x)>
#<alt (/ 1/9 x)>
#<alt (/ 1/9 x)>
#<alt (* -1 (/ (+ 1/9 (* 1/3 (* (sqrt x) y))) x))>
#<alt (/ (- x (+ 1/9 (* 1/3 (* (sqrt x) y)))) x)>
#<alt (/ (- x (+ 1/9 (* 1/3 (* (sqrt x) y)))) x)>
#<alt (/ (- x (+ 1/9 (* 1/3 (* (sqrt x) y)))) x)>
#<alt (- 1 (* 1/3 (* (sqrt (/ 1 x)) y)))>
#<alt (- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))>
#<alt (- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))>
#<alt (- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))>
#<alt (- 1 (* 1/3 (* (sqrt (/ 1 x)) y)))>
#<alt (- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))>
#<alt (- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))>
#<alt (- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))>
#<alt (- 1 (* 1/9 (/ 1 x)))>
#<alt (- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))>
#<alt (- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))>
#<alt (- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))>
#<alt (* -1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* y (- (/ 1 y) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/9 (* x y)))))>
#<alt (* y (- (/ 1 y) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/9 (* x y)))))>
#<alt (* y (- (/ 1 y) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/9 (* x y)))))>
#<alt (* -1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* -1 (* y (- (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* -1/3 (sqrt (/ 1 x))))))>
#<alt (* -1 (* y (- (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* -1/3 (sqrt (/ 1 x))))))>
#<alt (* -1 (* y (- (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* -1/3 (sqrt (/ 1 x))))))>
#<alt (/ -1/9 x)>
#<alt (/ (- x 1/9) x)>
#<alt (/ (- x 1/9) x)>
#<alt (/ (- x 1/9) x)>
#<alt 1>
#<alt (- 1 (* 1/9 (/ 1 x)))>
#<alt (- 1 (* 1/9 (/ 1 x)))>
#<alt (- 1 (* 1/9 (/ 1 x)))>
#<alt 1>
#<alt (- 1 (* 1/9 (/ 1 x)))>
#<alt (- 1 (* 1/9 (/ 1 x)))>
#<alt (- 1 (* 1/9 (/ 1 x)))>
#<alt (* 9 x)>
#<alt (* 9 x)>
#<alt (* 9 x)>
#<alt (* 9 x)>
#<alt (* 9 x)>
#<alt (* 9 x)>
#<alt (* 9 x)>
#<alt (* 9 x)>
#<alt (* 9 x)>
#<alt (* 9 x)>
#<alt (* 9 x)>
#<alt (* 9 x)>
#<alt (* 3 (sqrt x))>
#<alt (* 3 (sqrt x))>
#<alt (* 3 (sqrt x))>
#<alt (* 3 (sqrt x))>
#<alt (* 3 (sqrt x))>
#<alt (* 3 (sqrt x))>
#<alt (* 3 (sqrt x))>
#<alt (* 3 (sqrt x))>
#<alt (* -3 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* -3 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* -3 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* -3 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))>
Calls

24 calls:

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

simplify279.0ms (2.8%)

Memory
-0.0MiB live, 276.2MiB allocated
Algorithm
1×egg-herbie
Rules
7 662×lower-fma.f64
7 662×lower-fma.f32
2 338×lower-*.f64
2 338×lower-*.f32
1 352×div-sub
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
055660
1129660
2304659
3778659
41976659
53988659
65217659
76399659
87521659
97907659
08011638
Stop Event
1×iter limit
1×node limit
Counts
96 → 96
Calls
Call 1
Inputs
(/ 1/9 x)
(/ 1/9 x)
(/ 1/9 x)
(/ 1/9 x)
(/ 1/9 x)
(/ 1/9 x)
(/ 1/9 x)
(/ 1/9 x)
(/ 1/9 x)
(/ 1/9 x)
(/ 1/9 x)
(/ 1/9 x)
(* -1 (/ (+ 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 (* 1/3 (* (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))))
(- 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))
(* 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 (* 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))))))
(/ -1/9 x)
(/ (- x 1/9) x)
(/ (- x 1/9) x)
(/ (- x 1/9) x)
1
(- 1 (* 1/9 (/ 1 x)))
(- 1 (* 1/9 (/ 1 x)))
(- 1 (* 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)
(* 9 x)
(* 9 x)
(* 9 x)
(* 9 x)
(* 9 x)
(* 9 x)
(* 9 x)
(* 9 x)
(* 3 (sqrt x))
(* 3 (sqrt x))
(* 3 (sqrt x))
(* 3 (sqrt x))
(* 3 (sqrt x))
(* 3 (sqrt x))
(* 3 (sqrt x))
(* 3 (sqrt x))
(* -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))
(* 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))
(* 1/3 (* (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))
(* 1/3 (* (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))
(* 1/3 (* (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))
Outputs
(/ 1/9 x)
(/.f64 #s(literal 1/9 binary64) x)
(/ 1/9 x)
(/.f64 #s(literal 1/9 binary64) x)
(/ 1/9 x)
(/.f64 #s(literal 1/9 binary64) x)
(/ 1/9 x)
(/.f64 #s(literal 1/9 binary64) x)
(/ 1/9 x)
(/.f64 #s(literal 1/9 binary64) x)
(/ 1/9 x)
(/.f64 #s(literal 1/9 binary64) x)
(/ 1/9 x)
(/.f64 #s(literal 1/9 binary64) x)
(/ 1/9 x)
(/.f64 #s(literal 1/9 binary64) x)
(/ 1/9 x)
(/.f64 #s(literal 1/9 binary64) x)
(/ 1/9 x)
(/.f64 #s(literal 1/9 binary64) x)
(/ 1/9 x)
(/.f64 #s(literal 1/9 binary64) x)
(/ 1/9 x)
(/.f64 #s(literal 1/9 binary64) x)
(* -1 (/ (+ 1/9 (* 1/3 (* (sqrt x) y))) x))
(/.f64 (fma.f64 (sqrt.f64 x) (*.f64 y #s(literal -1/3 binary64)) #s(literal -1/9 binary64)) x)
(/ (- x (+ 1/9 (* 1/3 (* (sqrt x) y)))) x)
(+.f64 (/.f64 (fma.f64 (sqrt.f64 x) (*.f64 y #s(literal -1/3 binary64)) #s(literal -1/9 binary64)) x) #s(literal 1 binary64))
(/ (- x (+ 1/9 (* 1/3 (* (sqrt x) y)))) x)
(+.f64 (/.f64 (fma.f64 (sqrt.f64 x) (*.f64 y #s(literal -1/3 binary64)) #s(literal -1/9 binary64)) x) #s(literal 1 binary64))
(/ (- x (+ 1/9 (* 1/3 (* (sqrt x) y)))) x)
(+.f64 (/.f64 (fma.f64 (sqrt.f64 x) (*.f64 y #s(literal -1/3 binary64)) #s(literal -1/9 binary64)) x) #s(literal 1 binary64))
(- 1 (* 1/3 (* (sqrt (/ 1 x)) y)))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)) #s(literal 1 binary64))
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))
(+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal -1/9 binary64) x))
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))
(+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal -1/9 binary64) x))
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))
(+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal -1/9 binary64) x))
(- 1 (* 1/3 (* (sqrt (/ 1 x)) y)))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)) #s(literal 1 binary64))
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))
(+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal -1/9 binary64) x))
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))
(+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal -1/9 binary64) x))
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))
(+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)) #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)))
(+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal -1/9 binary64) x))
(- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))
(+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal -1/9 binary64) x))
(- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))
(+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal -1/9 binary64) x))
(* -1/3 (* (sqrt (/ 1 x)) y))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)))
(* y (- (/ 1 y) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/9 (* x y)))))
(+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal -1/9 binary64) x))
(* y (- (/ 1 y) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/9 (* x y)))))
(+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal -1/9 binary64) x))
(* y (- (/ 1 y) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/9 (* x y)))))
(+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal -1/9 binary64) x))
(* -1/3 (* (sqrt (/ 1 x)) y))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)))
(* -1 (* y (- (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* -1/3 (sqrt (/ 1 x))))))
(+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)) #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))))))
(+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)) #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))))))
(+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)) #s(literal 1 binary64)) (/.f64 #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))
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))
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 x #s(literal 9 binary64))
(* 9 x)
(*.f64 x #s(literal 9 binary64))
(* 9 x)
(*.f64 x #s(literal 9 binary64))
(* 9 x)
(*.f64 x #s(literal 9 binary64))
(* 9 x)
(*.f64 x #s(literal 9 binary64))
(* 9 x)
(*.f64 x #s(literal 9 binary64))
(* 9 x)
(*.f64 x #s(literal 9 binary64))
(* 9 x)
(*.f64 x #s(literal 9 binary64))
(* 9 x)
(*.f64 x #s(literal 9 binary64))
(* 9 x)
(*.f64 x #s(literal 9 binary64))
(* 9 x)
(*.f64 x #s(literal 9 binary64))
(* 9 x)
(*.f64 x #s(literal 9 binary64))
(* 3 (sqrt x))
(*.f64 (sqrt.f64 x) #s(literal 3 binary64))
(* 3 (sqrt x))
(*.f64 (sqrt.f64 x) #s(literal 3 binary64))
(* 3 (sqrt x))
(*.f64 (sqrt.f64 x) #s(literal 3 binary64))
(* 3 (sqrt x))
(*.f64 (sqrt.f64 x) #s(literal 3 binary64))
(* 3 (sqrt x))
(*.f64 (sqrt.f64 x) #s(literal 3 binary64))
(* 3 (sqrt x))
(*.f64 (sqrt.f64 x) #s(literal 3 binary64))
(* 3 (sqrt x))
(*.f64 (sqrt.f64 x) #s(literal 3 binary64))
(* 3 (sqrt x))
(*.f64 (sqrt.f64 x) #s(literal 3 binary64))
(* -3 (* (sqrt x) (pow (sqrt -1) 2)))
(*.f64 (sqrt.f64 x) #s(literal 3 binary64))
(* -3 (* (sqrt x) (pow (sqrt -1) 2)))
(*.f64 (sqrt.f64 x) #s(literal 3 binary64))
(* -3 (* (sqrt x) (pow (sqrt -1) 2)))
(*.f64 (sqrt.f64 x) #s(literal 3 binary64))
(* -3 (* (sqrt x) (pow (sqrt -1) 2)))
(*.f64 (sqrt.f64 x) #s(literal 3 binary64))
(* 1/3 (* (sqrt (/ 1 x)) y))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/3 binary64) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/3 binary64) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/3 binary64) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/3 binary64) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/3 binary64) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/3 binary64) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/3 binary64) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/3 binary64) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/3 binary64) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/3 binary64) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/3 binary64) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/3 binary64) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/3 binary64) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/3 binary64) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/3 binary64) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/3 binary64) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/3 binary64) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/3 binary64) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/3 binary64) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/3 binary64) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/3 binary64) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/3 binary64) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/3 binary64) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/3 binary64) y))

rewrite586.0ms (5.9%)

Memory
-1.9MiB live, 506.8MiB allocated
Algorithm
1×batch-egg-rewrite
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
1×iter limit
1×node limit
1×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
(exp.f64 (neg.f64 (log.f64 (*.f64 x #s(literal 9 binary64)))))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal -1/9 binary64) x))
(neg.f64 (/.f64 #s(literal -1/9 binary64) x))
(/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))
(/.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (*.f64 x #s(literal -9 binary64)))
(/.f64 (/.f64 #s(literal 1/3 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 (/.f64 #s(literal -1 binary64) x) #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 -1/9 binary64) (neg.f64 x))
(/.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 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal 3 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 binary64) x) #s(literal 1 binary64)) #s(literal -9 binary64))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1/3 binary64) (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))
(pow.f64 (*.f64 x #s(literal 9 binary64)) #s(literal -1 binary64))
(pow.f64 (*.f64 #s(literal 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 x (*.f64 x #s(literal 81 binary64))) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 (*.f64 x #s(literal 9 binary64)) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x))
(*.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/9 binary64) x))
(*.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)))
(*.f64 (/.f64 #s(literal -1/9 binary64) x) #s(literal -1 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/9 binary64))
(*.f64 #s(literal 1/9 binary64) (/.f64 #s(literal 1 binary64) x))
(*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1/9 binary64))
(*.f64 (pow.f64 (*.f64 x #s(literal 9 binary64)) #s(literal -1/2 binary64)) (pow.f64 (*.f64 x #s(literal 9 binary64)) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (*.f64 x #s(literal 9 binary64)) #s(literal -1/2 binary64)) (*.f64 (pow.f64 (*.f64 x #s(literal 9 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (*.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x #s(literal 9 binary64)) #s(literal -1/2 binary64))) (pow.f64 (*.f64 x #s(literal 9 binary64)) #s(literal -1/2 binary64)))
(+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/3 binary64) (/.f64 y (sqrt.f64 x)) (/.f64 #s(literal -1/9 binary64) x)))
(+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)) (/.f64 y (*.f64 (sqrt.f64 x) #s(literal -3 binary64))))
(+.f64 (/.f64 #s(literal -1/9 binary64) x) (+.f64 #s(literal 1 binary64) (/.f64 y (*.f64 (sqrt.f64 x) #s(literal -3 binary64)))))
(+.f64 (/.f64 #s(literal -1/9 binary64) 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))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)))
(+.f64 (/.f64 (*.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 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)))) (fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)) (fma.f64 (/.f64 #s(literal 1/9 binary64) x) (*.f64 y y) (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)) y) (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))))) (neg.f64 (/.f64 (*.f64 y (*.f64 y y)) (*.f64 (fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)) (fma.f64 (/.f64 #s(literal 1/9 binary64) x) (*.f64 y y) (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)) y) (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))) (*.f64 x (*.f64 #s(literal 27 binary64) (sqrt.f64 x)))))))
(+.f64 (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x))) (fma.f64 y (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)))) (neg.f64 (/.f64 (*.f64 (*.f64 y y) #s(literal 1/9 binary64)) (*.f64 (fma.f64 y (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x))) x))))
(+.f64 (fma.f64 #s(literal -1/3 binary64) (/.f64 y (sqrt.f64 x)) (/.f64 #s(literal -1/9 binary64) x)) #s(literal 1 binary64))
(+.f64 (fma.f64 #s(literal -1/3 binary64) (/.f64 y (sqrt.f64 x)) #s(literal 1 binary64)) (/.f64 #s(literal -1/9 binary64) x))
(-.f64 #s(literal 1 binary64) (fma.f64 y (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1/9 binary64) x)))
(-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
(-.f64 #s(literal 0 binary64) (-.f64 (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x))))
(-.f64 (/.f64 (*.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 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)))) (fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)) (fma.f64 (/.f64 #s(literal 1/9 binary64) x) (*.f64 y y) (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)) y) (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))))) (/.f64 (*.f64 y (*.f64 y y)) (*.f64 (fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)) (fma.f64 (/.f64 #s(literal 1/9 binary64) x) (*.f64 y y) (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)) y) (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))) (*.f64 x (*.f64 #s(literal 27 binary64) (sqrt.f64 x))))))
(-.f64 (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x))) (fma.f64 y (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)))) (/.f64 (*.f64 (*.f64 y y) #s(literal 1/9 binary64)) (*.f64 (fma.f64 y (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x))) x)))
(-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 1/9 binary64) x) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)) #s(literal 1 binary64))) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (/.f64 #s(literal 1/9 binary64) x) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)) #s(literal 1 binary64)) (*.f64 (*.f64 x #s(literal 9 binary64)) (*.f64 x (*.f64 x #s(literal 81 binary64)))))) (/.f64 y (*.f64 (sqrt.f64 x) #s(literal -3 binary64)))))
(-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 1/9 binary64) x) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)) #s(literal 1 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (/.f64 #s(literal 1/9 binary64) x) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)) #s(literal 1 binary64)) (*.f64 (*.f64 x #s(literal 9 binary64)) (*.f64 x (*.f64 x #s(literal 81 binary64)))))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))))
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(/.f64 (*.f64 x #s(literal 9 binary64)) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/9 binary64) x))
(/.f64 (*.f64 x #s(literal -9 binary64)) #s(literal -1 binary64))
(/.f64 #s(literal -9 binary64) (/.f64 #s(literal -1 binary64) x))
(/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x #s(literal 9 binary64)) #s(literal -1/2 binary64))) (pow.f64 (*.f64 x #s(literal 9 binary64)) #s(literal -1/2 binary64)))
(pow.f64 (*.f64 x #s(literal 9 binary64)) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64))
(pow.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) #s(literal 2 binary64))
(pow.f64 (*.f64 (sqrt.f64 x) #s(literal -3 binary64)) #s(literal 2 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))
(*.f64 x #s(literal 9 binary64))
(*.f64 #s(literal 9 binary64) x)
(*.f64 #s(literal 9 binary64) (neg.f64 (neg.f64 x)))
(*.f64 #s(literal 9 binary64) (*.f64 (neg.f64 (sqrt.f64 x)) (neg.f64 (sqrt.f64 x))))
(*.f64 (*.f64 x #s(literal 9 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 3 binary64) (*.f64 x #s(literal 3 binary64)))
(*.f64 #s(literal 3 binary64) (*.f64 (neg.f64 (sqrt.f64 x)) (*.f64 (sqrt.f64 x) #s(literal -3 binary64))))
(*.f64 (sqrt.f64 x) (*.f64 #s(literal -3 binary64) (*.f64 (sqrt.f64 x) #s(literal -3 binary64))))
(*.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))
(*.f64 #s(literal -1 binary64) (*.f64 x #s(literal -9 binary64)))
(*.f64 (*.f64 x #s(literal -9 binary64)) #s(literal -1 binary64))
(*.f64 (*.f64 (sqrt.f64 x) #s(literal -3 binary64)) (*.f64 (sqrt.f64 x) #s(literal -3 binary64)))
(*.f64 #s(literal -3 binary64) (*.f64 x #s(literal -3 binary64)))
(*.f64 (*.f64 x #s(literal -3 binary64)) #s(literal -3 binary64))
(*.f64 (*.f64 x #s(literal 3 binary64)) #s(literal 3 binary64))
(*.f64 (neg.f64 (sqrt.f64 x)) (*.f64 #s(literal 3 binary64) (*.f64 (sqrt.f64 x) #s(literal -3 binary64))))
(*.f64 #s(literal -9 binary64) (neg.f64 x))
(*.f64 #s(literal -9 binary64) (/.f64 x #s(literal -1 binary64)))
(*.f64 (neg.f64 x) #s(literal -9 binary64))
(*.f64 (neg.f64 (neg.f64 x)) #s(literal 9 binary64))
(*.f64 (*.f64 (neg.f64 (sqrt.f64 x)) (neg.f64 (sqrt.f64 x))) #s(literal 9 binary64))
(*.f64 (*.f64 (*.f64 (sqrt.f64 x) #s(literal -3 binary64)) #s(literal 3 binary64)) (neg.f64 (sqrt.f64 x)))
(*.f64 (*.f64 (*.f64 (sqrt.f64 x) #s(literal -3 binary64)) #s(literal -1 binary64)) (*.f64 #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 (*.f64 (sqrt.f64 x) #s(literal -3 binary64)) (neg.f64 (sqrt.f64 x))) #s(literal 3 binary64))
(*.f64 (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) #s(literal 3 binary64)) (sqrt.f64 x))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) #s(literal -9 binary64))
(-.f64 #s(literal 0 binary64) (*.f64 (sqrt.f64 x) #s(literal -3 binary64)))
(neg.f64 (*.f64 (sqrt.f64 x) #s(literal -3 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)))
(/.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) #s(literal 1 binary64))
(/.f64 (*.f64 (sqrt.f64 x) #s(literal -3 binary64)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))
(*.f64 #s(literal 3 binary64) (sqrt.f64 x))
(*.f64 #s(literal 3 binary64) (neg.f64 (neg.f64 (sqrt.f64 x))))
(*.f64 #s(literal 3 binary64) (/.f64 (sqrt.f64 x) #s(literal 1 binary64)))
(*.f64 (sqrt.f64 x) #s(literal 3 binary64))
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) #s(literal -3 binary64)))
(*.f64 #s(literal -3 binary64) (neg.f64 (sqrt.f64 x)))
(*.f64 (neg.f64 (sqrt.f64 x)) #s(literal -3 binary64))
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (*.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 3 binary64)))
(*.f64 (neg.f64 (neg.f64 (sqrt.f64 x))) #s(literal 3 binary64))
(*.f64 (*.f64 #s(literal 3 binary64) (pow.f64 x #s(literal 1/4 binary64))) (pow.f64 x #s(literal 1/4 binary64)))
(*.f64 (*.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 x))) #s(literal 3 binary64))
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) y)) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 y (*.f64 (sqrt.f64 x) #s(literal -3 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (sqrt.f64 x) #s(literal -3 binary64))) (/.f64 y (*.f64 (sqrt.f64 x) #s(literal -3 binary64))))
(neg.f64 (/.f64 y (*.f64 (sqrt.f64 x) #s(literal -3 binary64))))
(neg.f64 (*.f64 (/.f64 y (*.f64 (sqrt.f64 x) #s(literal -3 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) y))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) (/.f64 y (sqrt.f64 x))))
(/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))
(/.f64 #s(literal -1 binary64) (*.f64 #s(literal -3 binary64) (/.f64 (sqrt.f64 x) y)))
(/.f64 (neg.f64 y) (*.f64 (sqrt.f64 x) #s(literal -3 binary64)))
(/.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) y))
(/.f64 (*.f64 y #s(literal 1/3 binary64)) (sqrt.f64 x))
(/.f64 (*.f64 y #s(literal 1/3 binary64)) (neg.f64 (neg.f64 (sqrt.f64 x))))
(/.f64 (*.f64 y #s(literal -1/3 binary64)) (neg.f64 (sqrt.f64 x)))
(/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 3 binary64) y))
(/.f64 #s(literal 1/3 binary64) (/.f64 (sqrt.f64 x) y))
(/.f64 (/.f64 y (sqrt.f64 x)) #s(literal 3 binary64))
(/.f64 (neg.f64 (/.f64 y (sqrt.f64 x))) #s(literal -3 binary64))
(/.f64 (/.f64 (neg.f64 y) (sqrt.f64 x)) #s(literal -3 binary64))
(/.f64 (/.f64 (*.f64 y #s(literal 1/3 binary64)) (pow.f64 x #s(literal 1/4 binary64))) (pow.f64 x #s(literal 1/4 binary64)))
(/.f64 (/.f64 (neg.f64 y) #s(literal -1 binary64)) (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))
(/.f64 (*.f64 y #s(literal -1 binary64)) (*.f64 (sqrt.f64 x) #s(literal -3 binary64)))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) y) #s(literal 3 binary64))
(/.f64 (*.f64 (neg.f64 y) (/.f64 #s(literal 1 binary64) (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 #s(literal 1 binary64) (/.f64 y (sqrt.f64 x))) #s(literal 3 binary64))
(/.f64 (*.f64 (*.f64 y #s(literal -1/3 binary64)) #s(literal 1 binary64)) (neg.f64 (sqrt.f64 x)))
(/.f64 (*.f64 (/.f64 y (sqrt.f64 x)) #s(literal 1 binary64)) #s(literal 3 binary64))
(pow.f64 (/.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) y) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
(*.f64 y (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)))
(*.f64 (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 y (*.f64 (sqrt.f64 x) #s(literal -3 binary64))))
(*.f64 (neg.f64 y) (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)))
(*.f64 (neg.f64 y) (*.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) y)
(*.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (pow.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)))
(*.f64 (*.f64 y #s(literal 1/3 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))
(*.f64 (*.f64 y #s(literal 1/3 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1 binary64)))
(*.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) (sqrt.f64 x)) (neg.f64 y))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (*.f64 y #s(literal 1/3 binary64)))
(*.f64 #s(literal 1/3 binary64) (/.f64 y (sqrt.f64 x)))
(*.f64 #s(literal 1/3 binary64) (pow.f64 (/.f64 (sqrt.f64 x) y) #s(literal -1 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 binary64) (sqrt.f64 x)) (*.f64 y #s(literal -1/3 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 (pow.f64 (/.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) y) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) y) #s(literal -1/2 binary64)))

eval126.0ms (1.3%)

Memory
12.1MiB live, 132.5MiB allocated
Compiler

Compiled 16 283 to 1 294 computations (92.1% saved)

prune84.0ms (0.8%)

Memory
-0.4MiB live, 160.1MiB allocated
Pruning

15 alts after pruning (14 fresh and 1 done)

PrunedKeptTotal
New51014524
Fresh000
Picked011
Done000
Total51015525
Accuracy
100.0%
Counts
525 → 15
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶99.6%
(fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/9 binary64) (-.f64 #s(literal 1 binary64) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))))
99.6%
(fma.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)))
76.1%
(-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 x #s(literal 9 binary64)) x)) #s(literal 1 binary64)) (-.f64 (/.f64 #s(literal -1/9 binary64) x) #s(literal 1 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))))
99.6%
(-.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 x #s(literal 3 binary64)) #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 (/.f64 y (sqrt.f64 x)) #s(literal 3 binary64)))
✓99.7%
(-.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))))
▶99.7%
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) y)))
69.8%
(-.f64 #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
53.7%
(*.f64 (neg.f64 (fma.f64 (+.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 (*.f64 y y) (*.f64 x #s(literal -9 binary64))))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/3 binary64) (/.f64 y (sqrt.f64 x)) (neg.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x))))))
69.7%
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)) #s(literal 1 binary64)))
▶65.7%
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 (fma.f64 (sqrt.f64 x) (*.f64 y #s(literal -1/3 binary64)) #s(literal -1/9 binary64)) x))
▶59.6%
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)))
42.0%
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64))))
Compiler

Compiled 480 to 330 computations (31.3% saved)

simplify284.0ms (2.8%)

Memory
-25.2MiB live, 151.7MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
✓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 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) y)))
✓cost-diff320
(/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))
✓cost-diff704
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) y))
✓cost-diff0
(/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))
✓cost-diff0
(/.f64 #s(literal 1 binary64) x)
✓cost-diff128
(-.f64 #s(literal 1 binary64) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
✓cost-diff192
(fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/9 binary64) (-.f64 #s(literal 1 binary64) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))))
✓cost-diff0
(sqrt.f64 x)
✓cost-diff0
(fma.f64 (sqrt.f64 x) (*.f64 y #s(literal -1/3 binary64)) #s(literal -1/9 binary64))
✓cost-diff0
(/.f64 (fma.f64 (sqrt.f64 x) (*.f64 y #s(literal -1/3 binary64)) #s(literal -1/9 binary64)) x)
✓cost-diff0
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 (fma.f64 (sqrt.f64 x) (*.f64 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-diff128
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) (/.f64 (/.f64 y (sqrt.f64 x)) #s(literal 3 binary64)))
✓cost-diff320
(/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))
✓cost-diff384
(/.f64 (/.f64 y (sqrt.f64 x)) #s(literal 3 binary64))
Rules
1 824×lower-fma.f32
1 820×lower-fma.f64
1 264×lower-*.f32
1 258×lower-*.f64
1 096×div-sub
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
036223
058222
198202
2186202
3363202
4718202
51248202
62106202
72437202
82664202
93442202
104396202
114806202
124912202
134956202
144980202
155047202
165251202
175605202
185613202
195613202
205728202
216446202
226450202
236454202
06454196
Stop Event
1×iter limit
1×saturated
1×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 y (sqrt.f64 x)) #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 y (sqrt.f64 x)) #s(literal 3 binary64))
(/.f64 y (sqrt.f64 x))
y
(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 #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 (fma.f64 (sqrt.f64 x) (*.f64 y #s(literal -1/3 binary64)) #s(literal -1/9 binary64)) x))
(/.f64 (fma.f64 (sqrt.f64 x) (*.f64 y #s(literal -1/3 binary64)) #s(literal -1/9 binary64)) x)
(fma.f64 (sqrt.f64 x) (*.f64 y #s(literal -1/3 binary64)) #s(literal -1/9 binary64))
(sqrt.f64 x)
x
(*.f64 y #s(literal -1/3 binary64))
y
#s(literal -1/3 binary64)
#s(literal -1/9 binary64)
(fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/9 binary64) (-.f64 #s(literal 1 binary64) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))))
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
#s(literal -1/9 binary64)
(-.f64 #s(literal 1 binary64) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 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)
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) 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 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) y))
(/.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) y)
(*.f64 #s(literal 3 binary64) (sqrt.f64 x))
#s(literal 3 binary64)
(sqrt.f64 x)
y
Outputs
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) (/.f64 (/.f64 y (sqrt.f64 x)) #s(literal 3 binary64)))
(fma.f64 y (/.f64 #s(literal -1/3 binary64) (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))
x
#s(literal 9 binary64)
(/.f64 (/.f64 y (sqrt.f64 x)) #s(literal 3 binary64))
(/.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64)))
(/.f64 y (sqrt.f64 x))
y
(sqrt.f64 x)
#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 (fma.f64 (sqrt.f64 x) (*.f64 y #s(literal -1/3 binary64)) #s(literal -1/9 binary64)) x))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 (fma.f64 y (*.f64 (sqrt.f64 x) #s(literal -1/3 binary64)) #s(literal -1/9 binary64)) x))
(/.f64 (fma.f64 (sqrt.f64 x) (*.f64 y #s(literal -1/3 binary64)) #s(literal -1/9 binary64)) x)
(/.f64 (fma.f64 y (*.f64 (sqrt.f64 x) #s(literal -1/3 binary64)) #s(literal -1/9 binary64)) x)
(fma.f64 (sqrt.f64 x) (*.f64 y #s(literal -1/3 binary64)) #s(literal -1/9 binary64))
(fma.f64 y (*.f64 (sqrt.f64 x) #s(literal -1/3 binary64)) #s(literal -1/9 binary64))
(sqrt.f64 x)
x
(*.f64 y #s(literal -1/3 binary64))
y
#s(literal -1/3 binary64)
#s(literal -1/9 binary64)
(fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/9 binary64) (-.f64 #s(literal 1 binary64) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))))
(fma.f64 y (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)))
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
#s(literal -1/9 binary64)
(-.f64 #s(literal 1 binary64) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
(fma.f64 y (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) #s(literal 1 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)
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) y)))
(fma.f64 y (/.f64 #s(literal -1/3 binary64) (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))
x
#s(literal 9 binary64)
(/.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 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) y)
(/.f64 (*.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)
y

localize116.0ms (1.2%)

Memory
10.2MiB live, 246.6MiB allocated
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
✓accuracy99.6%
(/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))
✓accuracy99.6%
(/.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) y)
✓accuracy99.5%
(*.f64 #s(literal 3 binary64) (sqrt.f64 x))
✓accuracy98.9%
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) y))
✓accuracy100.0%
(sqrt.f64 x)
✓accuracy99.8%
(fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/9 binary64) (-.f64 #s(literal 1 binary64) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))))
✓accuracy99.6%
(/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))
✓accuracy99.5%
(*.f64 #s(literal 3 binary64) (sqrt.f64 x))
✓accuracy99.7%
(fma.f64 (sqrt.f64 x) (*.f64 y #s(literal -1/3 binary64)) #s(literal -1/9 binary64))
✓accuracy99.4%
(*.f64 y #s(literal -1/3 binary64))
✓accuracy94.8%
(/.f64 (fma.f64 (sqrt.f64 x) (*.f64 y #s(literal -1/3 binary64)) #s(literal -1/9 binary64)) x)
✓accuracy70.8%
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 (fma.f64 (sqrt.f64 x) (*.f64 y #s(literal -1/3 binary64)) #s(literal -1/9 binary64)) x))
✓accuracy100.0%
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x))
✓accuracy99.5%
(/.f64 #s(literal -1/9 binary64) x)
✓accuracy59.8%
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)))
✓accuracy100.0%
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) (/.f64 (/.f64 y (sqrt.f64 x)) #s(literal 3 binary64)))
✓accuracy99.7%
(/.f64 y (sqrt.f64 x))
✓accuracy99.6%
(/.f64 (/.f64 y (sqrt.f64 x)) #s(literal 3 binary64))
✓accuracy99.6%
(/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))
Samples
68.0ms256×0valid
Compiler

Compiled 212 to 32 computations (84.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 48.0ms
ival-div: 21.0ms (43.6% of total)
ival-mult: 8.0ms (16.6% of total)
ival-sub: 7.0ms (14.5% of total)
const: 6.0ms (12.5% of total)
ival-add: 3.0ms (6.2% of total)
ival-sqrt: 2.0ms (4.2% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series19.0ms (0.2%)

Memory
-4.3MiB live, 34.5MiB allocated
Counts
21 → 408
Calls
Call 1
Inputs
#<alt (/.f64 (/.f64 y (sqrt.f64 x)) #s(literal 3 binary64))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))>
#<alt (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) (/.f64 (/.f64 y (sqrt.f64 x)) #s(literal 3 binary64)))>
#<alt (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64))))>
#<alt #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)))>
#<alt (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x))>
#<alt (/.f64 #s(literal -1/9 binary64) x)>
#<alt #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 (fma.f64 (sqrt.f64 x) (*.f64 y #s(literal -1/3 binary64)) #s(literal -1/9 binary64)) x))>
#<alt (/.f64 (fma.f64 (sqrt.f64 x) (*.f64 y #s(literal -1/3 binary64)) #s(literal -1/9 binary64)) x)>
#<alt (fma.f64 (sqrt.f64 x) (*.f64 y #s(literal -1/3 binary64)) #s(literal -1/9 binary64))>
#<alt (sqrt.f64 x)>
#<alt (fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/9 binary64) (-.f64 #s(literal 1 binary64) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))))>
#<alt (-.f64 #s(literal 1 binary64) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))>
#<alt (/.f64 #s(literal 1 binary64) x)>
#<alt (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))>
#<alt (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) y))>
#<alt (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) y)))>
#<alt (/.f64 y (sqrt.f64 x))>
#<alt (*.f64 y #s(literal -1/3 binary64))>
#<alt (*.f64 #s(literal 3 binary64) (sqrt.f64 x))>
#<alt (/.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) y)>
Outputs
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))>
#<alt (/ 1/9 x)>
#<alt (/ 1/9 x)>
#<alt (/ 1/9 x)>
#<alt (/ 1/9 x)>
#<alt (/ 1/9 x)>
#<alt (/ 1/9 x)>
#<alt (/ 1/9 x)>
#<alt (/ 1/9 x)>
#<alt (/ 1/9 x)>
#<alt (/ 1/9 x)>
#<alt (/ 1/9 x)>
#<alt (/ 1/9 x)>
#<alt (* -1 (/ (+ 1/9 (* 1/3 (* (sqrt x) y))) x))>
#<alt (/ (- x (+ 1/9 (* 1/3 (* (sqrt x) y)))) x)>
#<alt (/ (- x (+ 1/9 (* 1/3 (* (sqrt x) y)))) x)>
#<alt (/ (- x (+ 1/9 (* 1/3 (* (sqrt x) y)))) x)>
#<alt (- 1 (* 1/3 (* (sqrt (/ 1 x)) y)))>
#<alt (- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))>
#<alt (- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))>
#<alt (- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))>
#<alt (- 1 (* 1/3 (* (sqrt (/ 1 x)) y)))>
#<alt (- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))>
#<alt (- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))>
#<alt (- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))>
#<alt (- 1 (* 1/9 (/ 1 x)))>
#<alt (- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))>
#<alt (- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))>
#<alt (- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))>
#<alt (* -1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* y (- (/ 1 y) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/9 (* x y)))))>
#<alt (* y (- (/ 1 y) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/9 (* x y)))))>
#<alt (* y (- (/ 1 y) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/9 (* x y)))))>
#<alt (* -1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* -1 (* y (- (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* -1/3 (sqrt (/ 1 x))))))>
#<alt (* -1 (* y (- (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* -1/3 (sqrt (/ 1 x))))))>
#<alt (* -1 (* y (- (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* -1/3 (sqrt (/ 1 x))))))>
#<alt (/ -1/9 x)>
#<alt (/ (- x 1/9) x)>
#<alt (/ (- x 1/9) x)>
#<alt (/ (- x 1/9) x)>
#<alt 1>
#<alt (- 1 (* 1/9 (/ 1 x)))>
#<alt (- 1 (* 1/9 (/ 1 x)))>
#<alt (- 1 (* 1/9 (/ 1 x)))>
#<alt 1>
#<alt (- 1 (* 1/9 (/ 1 x)))>
#<alt (- 1 (* 1/9 (/ 1 x)))>
#<alt (- 1 (* 1/9 (/ 1 x)))>
#<alt (* -1 (/ (+ 1/9 (* 1/3 (* (sqrt x) y))) x))>
#<alt (/ (- x (+ 1/9 (* 1/3 (* (sqrt x) y)))) x)>
#<alt (/ (- x (+ 1/9 (* 1/3 (* (sqrt x) y)))) x)>
#<alt (/ (- x (+ 1/9 (* 1/3 (* (sqrt x) y)))) x)>
#<alt (- 1 (* 1/3 (* (sqrt (/ 1 x)) y)))>
#<alt (- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))>
#<alt (- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))>
#<alt (- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))>
#<alt (- 1 (* 1/3 (* (sqrt (/ 1 x)) y)))>
#<alt (- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))>
#<alt (- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))>
#<alt (- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))>
#<alt (- 1 (* 1/9 (/ 1 x)))>
#<alt (- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))>
#<alt (- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))>
#<alt (- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))>
#<alt (* -1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* y (- (/ 1 y) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/9 (* x y)))))>
#<alt (* y (- (/ 1 y) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/9 (* x y)))))>
#<alt (* y (- (/ 1 y) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/9 (* x y)))))>
#<alt (* -1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* -1 (* y (- (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* -1/3 (sqrt (/ 1 x))))))>
#<alt (* -1 (* y (- (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* -1/3 (sqrt (/ 1 x))))))>
#<alt (* -1 (* y (- (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* -1/3 (sqrt (/ 1 x))))))>
#<alt (/ -1/9 x)>
#<alt (/ (- x 1/9) x)>
#<alt (/ (- x 1/9) x)>
#<alt (/ (- x 1/9) x)>
#<alt 1>
#<alt (- 1 (* 1/9 (/ 1 x)))>
#<alt (- 1 (* 1/9 (/ 1 x)))>
#<alt (- 1 (* 1/9 (/ 1 x)))>
#<alt 1>
#<alt (- 1 (* 1/9 (/ 1 x)))>
#<alt (- 1 (* 1/9 (/ 1 x)))>
#<alt (- 1 (* 1/9 (/ 1 x)))>
#<alt (/ -1/9 x)>
#<alt (/ -1/9 x)>
#<alt (/ -1/9 x)>
#<alt (/ -1/9 x)>
#<alt (/ -1/9 x)>
#<alt (/ -1/9 x)>
#<alt (/ -1/9 x)>
#<alt (/ -1/9 x)>
#<alt (/ -1/9 x)>
#<alt (/ -1/9 x)>
#<alt (/ -1/9 x)>
#<alt (/ -1/9 x)>
#<alt (* -1 (/ (+ 1/9 (* 1/3 (* (sqrt x) y))) x))>
#<alt (/ (- x (+ 1/9 (* 1/3 (* (sqrt x) y)))) x)>
#<alt (/ (- x (+ 1/9 (* 1/3 (* (sqrt x) y)))) x)>
#<alt (/ (- x (+ 1/9 (* 1/3 (* (sqrt x) y)))) x)>
#<alt (- 1 (* 1/3 (* (sqrt (/ 1 x)) y)))>
#<alt (- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))>
#<alt (- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))>
#<alt (- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))>
#<alt (- 1 (* 1/3 (* (sqrt (/ 1 x)) y)))>
#<alt (- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))>
#<alt (- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))>
#<alt (- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))>
#<alt (- 1 (* 1/9 (/ 1 x)))>
#<alt (- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))>
#<alt (- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))>
#<alt (- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))>
#<alt (* -1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* y (- (/ 1 y) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/9 (* x y)))))>
#<alt (* y (- (/ 1 y) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/9 (* x y)))))>
#<alt (* y (- (/ 1 y) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/9 (* x y)))))>
#<alt (* -1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* -1 (* y (- (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* -1/3 (sqrt (/ 1 x))))))>
#<alt (* -1 (* y (- (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* -1/3 (sqrt (/ 1 x))))))>
#<alt (* -1 (* y (- (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* -1/3 (sqrt (/ 1 x))))))>
#<alt (/ (- (* -1/3 (* (sqrt x) y)) 1/9) x)>
#<alt (/ (- (* -1/3 (* (sqrt x) y)) 1/9) x)>
#<alt (/ (- (* -1/3 (* (sqrt x) y)) 1/9) x)>
#<alt (/ (- (* -1/3 (* (sqrt x) y)) 1/9) x)>
#<alt (* -1/3 (* (sqrt (/ 1 x)) y))>
#<alt (- (* -1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x)))>
#<alt (- (* -1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x)))>
#<alt (- (* -1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x)))>
#<alt (* 1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))>
#<alt (- (* 1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (* 1/9 (/ 1 x)))>
#<alt (- (* 1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (* 1/9 (/ 1 x)))>
#<alt (- (* 1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (* 1/9 (/ 1 x)))>
#<alt (/ -1/9 x)>
#<alt (- (* -1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x)))>
#<alt (- (* -1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x)))>
#<alt (- (* -1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x)))>
#<alt (* -1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* y (- (* -1/3 (sqrt (/ 1 x))) (* 1/9 (/ 1 (* x y)))))>
#<alt (* y (- (* -1/3 (sqrt (/ 1 x))) (* 1/9 (/ 1 (* x y)))))>
#<alt (* y (- (* -1/3 (sqrt (/ 1 x))) (* 1/9 (/ 1 (* x y)))))>
#<alt (* -1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* -1 (* y (+ (* 1/3 (sqrt (/ 1 x))) (* 1/9 (/ 1 (* x y))))))>
#<alt (* -1 (* y (+ (* 1/3 (sqrt (/ 1 x))) (* 1/9 (/ 1 (* x y))))))>
#<alt (* -1 (* y (+ (* 1/3 (sqrt (/ 1 x))) (* 1/9 (/ 1 (* x y))))))>
#<alt (- (* -1/3 (* (sqrt x) y)) 1/9)>
#<alt (- (* -1/3 (* (sqrt x) y)) 1/9)>
#<alt (- (* -1/3 (* (sqrt x) y)) 1/9)>
#<alt (- (* -1/3 (* (sqrt x) y)) 1/9)>
#<alt (* -1/3 (* (sqrt x) y))>
#<alt (* x (- (* -1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))>
#<alt (* x (- (* -1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))>
#<alt (* x (- (* -1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))>
#<alt (* 1/3 (* (sqrt x) (* y (pow (sqrt -1) 2))))>
#<alt (* -1 (* x (+ (* -1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (* 1/9 (/ 1 x)))))>
#<alt (* -1 (* x (+ (* -1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (* 1/9 (/ 1 x)))))>
#<alt (* -1 (* x (+ (* -1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (* 1/9 (/ 1 x)))))>
#<alt -1/9>
#<alt (- (* -1/3 (* (sqrt x) y)) 1/9)>
#<alt (- (* -1/3 (* (sqrt x) y)) 1/9)>
#<alt (- (* -1/3 (* (sqrt x) y)) 1/9)>
#<alt (* -1/3 (* (sqrt x) y))>
#<alt (* y (- (* -1/3 (sqrt x)) (* 1/9 (/ 1 y))))>
#<alt (* y (- (* -1/3 (sqrt x)) (* 1/9 (/ 1 y))))>
#<alt (* y (- (* -1/3 (sqrt x)) (* 1/9 (/ 1 y))))>
#<alt (* -1/3 (* (sqrt x) y))>
#<alt (* -1 (* y (+ (* 1/3 (sqrt x)) (* 1/9 (/ 1 y)))))>
#<alt (* -1 (* y (+ (* 1/3 (sqrt x)) (* 1/9 (/ 1 y)))))>
#<alt (* -1 (* y (+ (* 1/3 (sqrt x)) (* 1/9 (/ 1 y)))))>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* -1 (/ (+ 1/9 (* 1/3 (* (sqrt x) y))) x))>
#<alt (/ (- x (+ 1/9 (* 1/3 (* (sqrt x) y)))) x)>
#<alt (/ (- x (+ 1/9 (* 1/3 (* (sqrt x) y)))) x)>
#<alt (/ (- x (+ 1/9 (* 1/3 (* (sqrt x) y)))) x)>
#<alt (- 1 (* 1/3 (* (sqrt (/ 1 x)) y)))>
#<alt (- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))>
#<alt (- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))>
#<alt (- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))>
#<alt (- 1 (* 1/3 (* (sqrt (/ 1 x)) y)))>
#<alt (- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))>
#<alt (- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))>
#<alt (- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))>
#<alt (- 1 (* 1/9 (/ 1 x)))>
#<alt (- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))>
#<alt (- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))>
#<alt (- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))>
#<alt (* -1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* y (- (/ 1 y) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/9 (* x y)))))>
#<alt (* y (- (/ 1 y) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/9 (* x y)))))>
#<alt (* y (- (/ 1 y) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/9 (* x y)))))>
#<alt (* -1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* -1 (* y (- (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* -1/3 (sqrt (/ 1 x))))))>
#<alt (* -1 (* y (- (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* -1/3 (sqrt (/ 1 x))))))>
#<alt (* -1 (* y (- (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* -1/3 (sqrt (/ 1 x))))))>
#<alt 1>
#<alt (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y)))>
#<alt (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y)))>
#<alt (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y)))>
#<alt (* -1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* y (- (/ 1 y) (* 1/3 (sqrt (/ 1 x)))))>
#<alt (* y (- (/ 1 y) (* 1/3 (sqrt (/ 1 x)))))>
#<alt (* y (- (/ 1 y) (* 1/3 (sqrt (/ 1 x)))))>
#<alt (* -1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* y (+ (* -1/3 (sqrt (/ 1 x))) (/ 1 y)))>
#<alt (* y (+ (* -1/3 (sqrt (/ 1 x))) (/ 1 y)))>
#<alt (* y (+ (* -1/3 (sqrt (/ 1 x))) (/ 1 y)))>
#<alt (* -1/3 (* (sqrt (/ 1 x)) y))>
#<alt (/ (- x (* 1/3 (* (sqrt x) y))) x)>
#<alt (/ (- x (* 1/3 (* (sqrt x) y))) x)>
#<alt (/ (- x (* 1/3 (* (sqrt x) y))) x)>
#<alt (- 1 (* 1/3 (* (sqrt (/ 1 x)) y)))>
#<alt (- 1 (* 1/3 (* (sqrt (/ 1 x)) y)))>
#<alt (- 1 (* 1/3 (* (sqrt (/ 1 x)) y)))>
#<alt (- 1 (* 1/3 (* (sqrt (/ 1 x)) y)))>
#<alt (- 1 (* 1/3 (* (sqrt (/ 1 x)) y)))>
#<alt (- 1 (* 1/3 (* (sqrt (/ 1 x)) y)))>
#<alt (- 1 (* 1/3 (* (sqrt (/ 1 x)) y)))>
#<alt (- 1 (* 1/3 (* (sqrt (/ 1 x)) y)))>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* -1 (/ (+ 1/9 (* 1/3 (* (sqrt x) y))) x))>
#<alt (/ (- x (+ 1/9 (* 1/3 (* (sqrt x) y)))) x)>
#<alt (/ (- x (+ 1/9 (* 1/3 (* (sqrt x) y)))) x)>
#<alt (/ (- x (+ 1/9 (* 1/3 (* (sqrt x) y)))) x)>
#<alt (- 1 (* 1/3 (* (sqrt (/ 1 x)) y)))>
#<alt (- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))>
#<alt (- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))>
#<alt (- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))>
#<alt (- 1 (* 1/3 (* (sqrt (/ 1 x)) y)))>
#<alt (- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))>
#<alt (- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))>
#<alt (- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))>
#<alt (- 1 (* 1/9 (/ 1 x)))>
#<alt (- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))>
#<alt (- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))>
#<alt (- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))>
#<alt (* -1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* y (- (/ 1 y) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/9 (* x y)))))>
#<alt (* y (- (/ 1 y) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/9 (* x y)))))>
#<alt (* y (- (/ 1 y) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/9 (* x y)))))>
#<alt (* -1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* -1 (* y (- (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* -1/3 (sqrt (/ 1 x))))))>
#<alt (* -1 (* y (- (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* -1/3 (sqrt (/ 1 x))))))>
#<alt (* -1 (* y (- (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* -1/3 (sqrt (/ 1 x))))))>
#<alt (* (sqrt (/ 1 x)) y)>
#<alt (* (sqrt (/ 1 x)) y)>
#<alt (* (sqrt (/ 1 x)) y)>
#<alt (* (sqrt (/ 1 x)) y)>
#<alt (* (sqrt (/ 1 x)) y)>
#<alt (* (sqrt (/ 1 x)) y)>
#<alt (* (sqrt (/ 1 x)) y)>
#<alt (* (sqrt (/ 1 x)) y)>
#<alt (* (sqrt (/ 1 x)) y)>
#<alt (* (sqrt (/ 1 x)) y)>
#<alt (* (sqrt (/ 1 x)) y)>
#<alt (* (sqrt (/ 1 x)) y)>
#<alt (* (sqrt (/ 1 x)) y)>
#<alt (* (sqrt (/ 1 x)) y)>
#<alt (* (sqrt (/ 1 x)) y)>
#<alt (* (sqrt (/ 1 x)) y)>
#<alt (* (sqrt (/ 1 x)) y)>
#<alt (* (sqrt (/ 1 x)) y)>
#<alt (* (sqrt (/ 1 x)) y)>
#<alt (* (sqrt (/ 1 x)) y)>
#<alt (* (sqrt (/ 1 x)) y)>
#<alt (* (sqrt (/ 1 x)) y)>
#<alt (* (sqrt (/ 1 x)) y)>
#<alt (* (sqrt (/ 1 x)) y)>
#<alt (* -1/3 y)>
#<alt (* -1/3 y)>
#<alt (* -1/3 y)>
#<alt (* -1/3 y)>
#<alt (* -1/3 y)>
#<alt (* -1/3 y)>
#<alt (* -1/3 y)>
#<alt (* -1/3 y)>
#<alt (* -1/3 y)>
#<alt (* -1/3 y)>
#<alt (* -1/3 y)>
#<alt (* -1/3 y)>
#<alt (* 3 (sqrt x))>
#<alt (* 3 (sqrt x))>
#<alt (* 3 (sqrt x))>
#<alt (* 3 (sqrt x))>
#<alt (* 3 (sqrt x))>
#<alt (* 3 (sqrt x))>
#<alt (* 3 (sqrt x))>
#<alt (* 3 (sqrt x))>
#<alt (* -3 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* -3 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* -3 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* -3 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* 3 (* (sqrt x) (/ 1 y)))>
#<alt (* 3 (* (sqrt x) (/ 1 y)))>
#<alt (* 3 (* (sqrt x) (/ 1 y)))>
#<alt (* 3 (* (sqrt x) (/ 1 y)))>
#<alt (* 3 (* (sqrt x) (/ 1 y)))>
#<alt (* 3 (* (sqrt x) (/ 1 y)))>
#<alt (* 3 (* (sqrt x) (/ 1 y)))>
#<alt (* 3 (* (sqrt x) (/ 1 y)))>
#<alt (* -3 (* (sqrt x) (/ (pow (sqrt -1) 2) y)))>
#<alt (* -3 (* (sqrt x) (/ (pow (sqrt -1) 2) y)))>
#<alt (* -3 (* (sqrt x) (/ (pow (sqrt -1) 2) y)))>
#<alt (* -3 (* (sqrt x) (/ (pow (sqrt -1) 2) y)))>
#<alt (* 3 (* (sqrt x) (/ 1 y)))>
#<alt (* 3 (* (sqrt x) (/ 1 y)))>
#<alt (* 3 (* (sqrt x) (/ 1 y)))>
#<alt (* 3 (* (sqrt x) (/ 1 y)))>
#<alt (* 3 (* (sqrt x) (/ 1 y)))>
#<alt (* 3 (* (sqrt x) (/ 1 y)))>
#<alt (* 3 (* (sqrt x) (/ 1 y)))>
#<alt (* 3 (* (sqrt x) (/ 1 y)))>
#<alt (* 3 (* (sqrt x) (/ 1 y)))>
#<alt (* 3 (* (sqrt x) (/ 1 y)))>
#<alt (* 3 (* (sqrt x) (/ 1 y)))>
#<alt (* 3 (* (sqrt x) (/ 1 y)))>
Calls

102 calls:

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

simplify259.0ms (2.6%)

Memory
-7.1MiB live, 513.4MiB allocated
Algorithm
1×egg-herbie
Rules
7 242×lower-fma.f64
7 242×lower-fma.f32
3 686×lower-*.f64
3 686×lower-*.f32
2 176×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0963415
12693358
27833346
323443346
455053346
574583346
081823183
Stop Event
1×iter limit
1×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))
(* 1/3 (* (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))
(* 1/3 (* (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))
(* 1/3 (* (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))
(* 1/3 (* (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))
(/ 1/9 x)
(/ 1/9 x)
(/ 1/9 x)
(/ 1/9 x)
(/ 1/9 x)
(/ 1/9 x)
(/ 1/9 x)
(/ 1/9 x)
(/ 1/9 x)
(/ 1/9 x)
(/ 1/9 x)
(/ 1/9 x)
(* -1 (/ (+ 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 (* 1/3 (* (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))))
(- 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))
(* 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 (* 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))))))
(/ -1/9 x)
(/ (- x 1/9) x)
(/ (- x 1/9) x)
(/ (- x 1/9) x)
1
(- 1 (* 1/9 (/ 1 x)))
(- 1 (* 1/9 (/ 1 x)))
(- 1 (* 1/9 (/ 1 x)))
1
(- 1 (* 1/9 (/ 1 x)))
(- 1 (* 1/9 (/ 1 x)))
(- 1 (* 1/9 (/ 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 (* 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))))
(- 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))
(* 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 (* 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))))))
(/ -1/9 x)
(/ (- x 1/9) x)
(/ (- x 1/9) x)
(/ (- x 1/9) x)
1
(- 1 (* 1/9 (/ 1 x)))
(- 1 (* 1/9 (/ 1 x)))
(- 1 (* 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)
(/ -1/9 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 (* 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))))
(- 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))
(* 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 (* 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)) 1/9) x)
(/ (- (* -1/3 (* (sqrt x) y)) 1/9) x)
(/ (- (* -1/3 (* (sqrt x) y)) 1/9) x)
(/ (- (* -1/3 (* (sqrt x) y)) 1/9) x)
(* -1/3 (* (sqrt (/ 1 x)) y))
(- (* -1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x)))
(- (* -1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x)))
(- (* -1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x)))
(* 1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))
(- (* 1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (* 1/9 (/ 1 x)))
(- (* 1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (* 1/9 (/ 1 x)))
(- (* 1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (* 1/9 (/ 1 x)))
(/ -1/9 x)
(- (* -1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x)))
(- (* -1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x)))
(- (* -1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x)))
(* -1/3 (* (sqrt (/ 1 x)) y))
(* y (- (* -1/3 (sqrt (/ 1 x))) (* 1/9 (/ 1 (* x y)))))
(* y (- (* -1/3 (sqrt (/ 1 x))) (* 1/9 (/ 1 (* x y)))))
(* y (- (* -1/3 (sqrt (/ 1 x))) (* 1/9 (/ 1 (* x y)))))
(* -1/3 (* (sqrt (/ 1 x)) y))
(* -1 (* y (+ (* 1/3 (sqrt (/ 1 x))) (* 1/9 (/ 1 (* x y))))))
(* -1 (* y (+ (* 1/3 (sqrt (/ 1 x))) (* 1/9 (/ 1 (* x y))))))
(* -1 (* y (+ (* 1/3 (sqrt (/ 1 x))) (* 1/9 (/ 1 (* x y))))))
(- (* -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))
(* 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))))
(* 1/3 (* (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)))))
-1/9
(- (* -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))
(* 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 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)))))
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (/ (+ 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 (* 1/3 (* (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))))
(- 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))
(* 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 (* 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
(+ 1 (* -1/3 (* (sqrt (/ 1 x)) y)))
(+ 1 (* -1/3 (* (sqrt (/ 1 x)) y)))
(+ 1 (* -1/3 (* (sqrt (/ 1 x)) y)))
(* -1/3 (* (sqrt (/ 1 x)) y))
(* y (- (/ 1 y) (* 1/3 (sqrt (/ 1 x)))))
(* y (- (/ 1 y) (* 1/3 (sqrt (/ 1 x)))))
(* y (- (/ 1 y) (* 1/3 (sqrt (/ 1 x)))))
(* -1/3 (* (sqrt (/ 1 x)) y))
(* y (+ (* -1/3 (sqrt (/ 1 x))) (/ 1 y)))
(* y (+ (* -1/3 (sqrt (/ 1 x))) (/ 1 y)))
(* y (+ (* -1/3 (sqrt (/ 1 x))) (/ 1 y)))
(* -1/3 (* (sqrt (/ 1 x)) y))
(/ (- x (* 1/3 (* (sqrt x) y))) x)
(/ (- x (* 1/3 (* (sqrt x) y))) x)
(/ (- x (* 1/3 (* (sqrt x) y))) x)
(- 1 (* 1/3 (* (sqrt (/ 1 x)) y)))
(- 1 (* 1/3 (* (sqrt (/ 1 x)) y)))
(- 1 (* 1/3 (* (sqrt (/ 1 x)) y)))
(- 1 (* 1/3 (* (sqrt (/ 1 x)) y)))
(- 1 (* 1/3 (* (sqrt (/ 1 x)) y)))
(- 1 (* 1/3 (* (sqrt (/ 1 x)) y)))
(- 1 (* 1/3 (* (sqrt (/ 1 x)) y)))
(- 1 (* 1/3 (* (sqrt (/ 1 x)) y)))
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(* 1/3 (* (sqrt (/ 1 x)) 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))
(* 1/3 (* (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))
(* 1/3 (* (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))
(* 1/3 (* (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))
(* 1/3 (* (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))
(* 1/3 (* (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))
(* 1/3 (* (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))
(* 1/3 (* (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))
(* 1/3 (* (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))
(* 1/3 (* (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)
(- 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))))
(- 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))
(* 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 (* 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 (/ 1 x)) y)
(* (sqrt (/ 1 x)) y)
(* (sqrt (/ 1 x)) y)
(* (sqrt (/ 1 x)) y)
(* (sqrt (/ 1 x)) y)
(* (sqrt (/ 1 x)) y)
(* (sqrt (/ 1 x)) y)
(* (sqrt (/ 1 x)) y)
(* (sqrt (/ 1 x)) y)
(* (sqrt (/ 1 x)) y)
(* (sqrt (/ 1 x)) y)
(* (sqrt (/ 1 x)) y)
(* (sqrt (/ 1 x)) y)
(* (sqrt (/ 1 x)) y)
(* (sqrt (/ 1 x)) y)
(* (sqrt (/ 1 x)) y)
(* (sqrt (/ 1 x)) y)
(* (sqrt (/ 1 x)) y)
(* (sqrt (/ 1 x)) y)
(* (sqrt (/ 1 x)) y)
(* -1/3 y)
(* -1/3 y)
(* -1/3 y)
(* -1/3 y)
(* -1/3 y)
(* -1/3 y)
(* -1/3 y)
(* -1/3 y)
(* -1/3 y)
(* -1/3 y)
(* -1/3 y)
(* -1/3 y)
(* 3 (sqrt x))
(* 3 (sqrt x))
(* 3 (sqrt x))
(* 3 (sqrt x))
(* 3 (sqrt x))
(* 3 (sqrt x))
(* 3 (sqrt x))
(* 3 (sqrt x))
(* -3 (* (sqrt x) (pow (sqrt -1) 2)))
(* -3 (* (sqrt x) (pow (sqrt -1) 2)))
(* -3 (* (sqrt x) (pow (sqrt -1) 2)))
(* -3 (* (sqrt x) (pow (sqrt -1) 2)))
(* 3 (* (sqrt x) (/ 1 y)))
(* 3 (* (sqrt x) (/ 1 y)))
(* 3 (* (sqrt x) (/ 1 y)))
(* 3 (* (sqrt x) (/ 1 y)))
(* 3 (* (sqrt x) (/ 1 y)))
(* 3 (* (sqrt x) (/ 1 y)))
(* 3 (* (sqrt x) (/ 1 y)))
(* 3 (* (sqrt x) (/ 1 y)))
(* -3 (* (sqrt x) (/ (pow (sqrt -1) 2) y)))
(* -3 (* (sqrt x) (/ (pow (sqrt -1) 2) y)))
(* -3 (* (sqrt x) (/ (pow (sqrt -1) 2) y)))
(* -3 (* (sqrt x) (/ (pow (sqrt -1) 2) y)))
(* 3 (* (sqrt x) (/ 1 y)))
(* 3 (* (sqrt x) (/ 1 y)))
(* 3 (* (sqrt x) (/ 1 y)))
(* 3 (* (sqrt x) (/ 1 y)))
(* 3 (* (sqrt x) (/ 1 y)))
(* 3 (* (sqrt x) (/ 1 y)))
(* 3 (* (sqrt x) (/ 1 y)))
(* 3 (* (sqrt x) (/ 1 y)))
(* 3 (* (sqrt x) (/ 1 y)))
(* 3 (* (sqrt x) (/ 1 y)))
(* 3 (* (sqrt x) (/ 1 y)))
(* 3 (* (sqrt x) (/ 1 y)))
Outputs
(* 1/3 (* (sqrt (/ 1 x)) y))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/3 binary64) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/3 binary64) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/3 binary64) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/3 binary64) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/3 binary64) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/3 binary64) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/3 binary64) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/3 binary64) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/3 binary64) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/3 binary64) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/3 binary64) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/3 binary64) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/3 binary64) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/3 binary64) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/3 binary64) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/3 binary64) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/3 binary64) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/3 binary64) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/3 binary64) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/3 binary64) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/3 binary64) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/3 binary64) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/3 binary64) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/3 binary64) y))
(/ 1/9 x)
(/.f64 #s(literal 1/9 binary64) x)
(/ 1/9 x)
(/.f64 #s(literal 1/9 binary64) x)
(/ 1/9 x)
(/.f64 #s(literal 1/9 binary64) x)
(/ 1/9 x)
(/.f64 #s(literal 1/9 binary64) x)
(/ 1/9 x)
(/.f64 #s(literal 1/9 binary64) x)
(/ 1/9 x)
(/.f64 #s(literal 1/9 binary64) x)
(/ 1/9 x)
(/.f64 #s(literal 1/9 binary64) x)
(/ 1/9 x)
(/.f64 #s(literal 1/9 binary64) x)
(/ 1/9 x)
(/.f64 #s(literal 1/9 binary64) x)
(/ 1/9 x)
(/.f64 #s(literal 1/9 binary64) x)
(/ 1/9 x)
(/.f64 #s(literal 1/9 binary64) x)
(/ 1/9 x)
(/.f64 #s(literal 1/9 binary64) x)
(* -1 (/ (+ 1/9 (* 1/3 (* (sqrt x) y))) x))
(/.f64 (fma.f64 (sqrt.f64 x) (*.f64 y #s(literal -1/3 binary64)) #s(literal -1/9 binary64)) x)
(/ (- x (+ 1/9 (* 1/3 (* (sqrt x) y)))) x)
(+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (sqrt.f64 x) (*.f64 y #s(literal -1/3 binary64)) #s(literal -1/9 binary64)) x))
(/ (- x (+ 1/9 (* 1/3 (* (sqrt x) y)))) x)
(+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (sqrt.f64 x) (*.f64 y #s(literal -1/3 binary64)) #s(literal -1/9 binary64)) x))
(/ (- x (+ 1/9 (* 1/3 (* (sqrt x) y)))) x)
(+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (sqrt.f64 x) (*.f64 y #s(literal -1/3 binary64)) #s(literal -1/9 binary64)) x))
(- 1 (* 1/3 (* (sqrt (/ 1 x)) y)))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)) #s(literal 1 binary64))
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))
(+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal -1/9 binary64) x))
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))
(+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal -1/9 binary64) x))
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))
(+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal -1/9 binary64) x))
(- 1 (* 1/3 (* (sqrt (/ 1 x)) y)))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)) #s(literal 1 binary64))
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))
(+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal -1/9 binary64) x))
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))
(+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal -1/9 binary64) x))
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))
(+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)) #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)))
(+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal -1/9 binary64) x))
(- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))
(+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal -1/9 binary64) x))
(- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))
(+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal -1/9 binary64) x))
(* -1/3 (* (sqrt (/ 1 x)) y))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)))
(* y (- (/ 1 y) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/9 (* x y)))))
(+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal -1/9 binary64) x))
(* y (- (/ 1 y) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/9 (* x y)))))
(+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal -1/9 binary64) x))
(* y (- (/ 1 y) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/9 (* x y)))))
(+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal -1/9 binary64) x))
(* -1/3 (* (sqrt (/ 1 x)) y))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)))
(* -1 (* y (- (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* -1/3 (sqrt (/ 1 x))))))
(+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)) #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))))))
(+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)) #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))))))
(+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)) #s(literal 1 binary64)) (/.f64 #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))
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))
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))
(* -1 (/ (+ 1/9 (* 1/3 (* (sqrt x) y))) x))
(/.f64 (fma.f64 (sqrt.f64 x) (*.f64 y #s(literal -1/3 binary64)) #s(literal -1/9 binary64)) x)
(/ (- x (+ 1/9 (* 1/3 (* (sqrt x) y)))) x)
(+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (sqrt.f64 x) (*.f64 y #s(literal -1/3 binary64)) #s(literal -1/9 binary64)) x))
(/ (- x (+ 1/9 (* 1/3 (* (sqrt x) y)))) x)
(+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (sqrt.f64 x) (*.f64 y #s(literal -1/3 binary64)) #s(literal -1/9 binary64)) x))
(/ (- x (+ 1/9 (* 1/3 (* (sqrt x) y)))) x)
(+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (sqrt.f64 x) (*.f64 y #s(literal -1/3 binary64)) #s(literal -1/9 binary64)) x))
(- 1 (* 1/3 (* (sqrt (/ 1 x)) y)))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)) #s(literal 1 binary64))
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))
(+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal -1/9 binary64) x))
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))
(+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal -1/9 binary64) x))
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))
(+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal -1/9 binary64) x))
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(* y (- (/ 1 y) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/9 (* x y)))))
(+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal -1/9 binary64) x))
(* -1/3 (* (sqrt (/ 1 x)) y))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)))
(* -1 (* y (- (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* -1/3 (sqrt (/ 1 x))))))
(+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)) #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))))))
(+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)) #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))))))
(+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal -1/9 binary64) x))
(* (sqrt (/ 1 x)) y)
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y)
(* (sqrt (/ 1 x)) y)
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y)
(* (sqrt (/ 1 x)) y)
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y)
(* (sqrt (/ 1 x)) y)
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y)
(* (sqrt (/ 1 x)) y)
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y)
(* (sqrt (/ 1 x)) y)
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y)
(* (sqrt (/ 1 x)) y)
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y)
(* (sqrt (/ 1 x)) y)
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y)
(* (sqrt (/ 1 x)) y)
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y)
(* (sqrt (/ 1 x)) y)
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y)
(* (sqrt (/ 1 x)) y)
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y)
(* (sqrt (/ 1 x)) y)
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y)
(* (sqrt (/ 1 x)) y)
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y)
(* (sqrt (/ 1 x)) y)
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y)
(* (sqrt (/ 1 x)) y)
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y)
(* (sqrt (/ 1 x)) y)
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y)
(* (sqrt (/ 1 x)) y)
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y)
(* (sqrt (/ 1 x)) y)
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y)
(* (sqrt (/ 1 x)) y)
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y)
(* (sqrt (/ 1 x)) y)
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y)
(* (sqrt (/ 1 x)) y)
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y)
(* (sqrt (/ 1 x)) y)
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y)
(* (sqrt (/ 1 x)) y)
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y)
(* (sqrt (/ 1 x)) y)
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y)
(* -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))
(* -1/3 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))
(* -1/3 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))
(* 3 (sqrt x))
(*.f64 (sqrt.f64 x) #s(literal 3 binary64))
(* 3 (sqrt x))
(*.f64 (sqrt.f64 x) #s(literal 3 binary64))
(* 3 (sqrt x))
(*.f64 (sqrt.f64 x) #s(literal 3 binary64))
(* 3 (sqrt x))
(*.f64 (sqrt.f64 x) #s(literal 3 binary64))
(* 3 (sqrt x))
(*.f64 (sqrt.f64 x) #s(literal 3 binary64))
(* 3 (sqrt x))
(*.f64 (sqrt.f64 x) #s(literal 3 binary64))
(* 3 (sqrt x))
(*.f64 (sqrt.f64 x) #s(literal 3 binary64))
(* 3 (sqrt x))
(*.f64 (sqrt.f64 x) #s(literal 3 binary64))
(* -3 (* (sqrt x) (pow (sqrt -1) 2)))
(*.f64 (sqrt.f64 x) #s(literal 3 binary64))
(* -3 (* (sqrt x) (pow (sqrt -1) 2)))
(*.f64 (sqrt.f64 x) #s(literal 3 binary64))
(* -3 (* (sqrt x) (pow (sqrt -1) 2)))
(*.f64 (sqrt.f64 x) #s(literal 3 binary64))
(* -3 (* (sqrt x) (pow (sqrt -1) 2)))
(*.f64 (sqrt.f64 x) #s(literal 3 binary64))
(* 3 (* (sqrt x) (/ 1 y)))
(*.f64 (sqrt.f64 x) (/.f64 #s(literal 3 binary64) y))
(* 3 (* (sqrt x) (/ 1 y)))
(*.f64 (sqrt.f64 x) (/.f64 #s(literal 3 binary64) y))
(* 3 (* (sqrt x) (/ 1 y)))
(*.f64 (sqrt.f64 x) (/.f64 #s(literal 3 binary64) y))
(* 3 (* (sqrt x) (/ 1 y)))
(*.f64 (sqrt.f64 x) (/.f64 #s(literal 3 binary64) y))
(* 3 (* (sqrt x) (/ 1 y)))
(*.f64 (sqrt.f64 x) (/.f64 #s(literal 3 binary64) y))
(* 3 (* (sqrt x) (/ 1 y)))
(*.f64 (sqrt.f64 x) (/.f64 #s(literal 3 binary64) y))
(* 3 (* (sqrt x) (/ 1 y)))
(*.f64 (sqrt.f64 x) (/.f64 #s(literal 3 binary64) y))
(* 3 (* (sqrt x) (/ 1 y)))
(*.f64 (sqrt.f64 x) (/.f64 #s(literal 3 binary64) y))
(* -3 (* (sqrt x) (/ (pow (sqrt -1) 2) y)))
(*.f64 (sqrt.f64 x) (/.f64 #s(literal 3 binary64) y))
(* -3 (* (sqrt x) (/ (pow (sqrt -1) 2) y)))
(*.f64 (sqrt.f64 x) (/.f64 #s(literal 3 binary64) y))
(* -3 (* (sqrt x) (/ (pow (sqrt -1) 2) y)))
(*.f64 (sqrt.f64 x) (/.f64 #s(literal 3 binary64) y))
(* -3 (* (sqrt x) (/ (pow (sqrt -1) 2) y)))
(*.f64 (sqrt.f64 x) (/.f64 #s(literal 3 binary64) y))
(* 3 (* (sqrt x) (/ 1 y)))
(*.f64 (sqrt.f64 x) (/.f64 #s(literal 3 binary64) y))
(* 3 (* (sqrt x) (/ 1 y)))
(*.f64 (sqrt.f64 x) (/.f64 #s(literal 3 binary64) y))
(* 3 (* (sqrt x) (/ 1 y)))
(*.f64 (sqrt.f64 x) (/.f64 #s(literal 3 binary64) y))
(* 3 (* (sqrt x) (/ 1 y)))
(*.f64 (sqrt.f64 x) (/.f64 #s(literal 3 binary64) y))
(* 3 (* (sqrt x) (/ 1 y)))
(*.f64 (sqrt.f64 x) (/.f64 #s(literal 3 binary64) y))
(* 3 (* (sqrt x) (/ 1 y)))
(*.f64 (sqrt.f64 x) (/.f64 #s(literal 3 binary64) y))
(* 3 (* (sqrt x) (/ 1 y)))
(*.f64 (sqrt.f64 x) (/.f64 #s(literal 3 binary64) y))
(* 3 (* (sqrt x) (/ 1 y)))
(*.f64 (sqrt.f64 x) (/.f64 #s(literal 3 binary64) y))
(* 3 (* (sqrt x) (/ 1 y)))
(*.f64 (sqrt.f64 x) (/.f64 #s(literal 3 binary64) y))
(* 3 (* (sqrt x) (/ 1 y)))
(*.f64 (sqrt.f64 x) (/.f64 #s(literal 3 binary64) y))
(* 3 (* (sqrt x) (/ 1 y)))
(*.f64 (sqrt.f64 x) (/.f64 #s(literal 3 binary64) y))
(* 3 (* (sqrt x) (/ 1 y)))
(*.f64 (sqrt.f64 x) (/.f64 #s(literal 3 binary64) y))

rewrite730.0ms (7.3%)

Memory
23.5MiB live, 851.7MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
17 260×lower-fma.f32
17 256×lower-fma.f64
4 368×lower-/.f32
4 350×lower-/.f64
3 854×lower-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
036173
058172
1243156
22363156
08831150
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
21 → 1 058
Calls
Call 1
Inputs
(/.f64 (/.f64 y (sqrt.f64 x)) #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 y (sqrt.f64 x)) #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)
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 (fma.f64 (sqrt.f64 x) (*.f64 y #s(literal -1/3 binary64)) #s(literal -1/9 binary64)) x))
(/.f64 (fma.f64 (sqrt.f64 x) (*.f64 y #s(literal -1/3 binary64)) #s(literal -1/9 binary64)) x)
(fma.f64 (sqrt.f64 x) (*.f64 y #s(literal -1/3 binary64)) #s(literal -1/9 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 #s(literal 3 binary64) (sqrt.f64 x)))))
(-.f64 #s(literal 1 binary64) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
(/.f64 #s(literal 1 binary64) x)
(/.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 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) y)))
(/.f64 y (sqrt.f64 x))
(*.f64 y #s(literal -1/3 binary64))
(*.f64 #s(literal 3 binary64) (sqrt.f64 x))
(/.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) y)
Outputs
(exp.f64 (log.f64 (/.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64)))))
(-.f64 #s(literal 0 binary64) (*.f64 (/.f64 y (sqrt.f64 x)) #s(literal -1/3 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (sqrt.f64 x) #s(literal -3 binary64))) (*.f64 (/.f64 y (sqrt.f64 x)) #s(literal -1/3 binary64)))
(neg.f64 (*.f64 (/.f64 y (sqrt.f64 x)) #s(literal -1/3 binary64)))
(/.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64)))
(/.f64 (/.f64 y (sqrt.f64 x)) #s(literal 3 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) y))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 x) (*.f64 y #s(literal 1/3 binary64))))
(/.f64 #s(literal -1/3 binary64) (neg.f64 (/.f64 (sqrt.f64 x) y)))
(/.f64 #s(literal -1 binary64) (*.f64 #s(literal -3 binary64) (/.f64 (sqrt.f64 x) y)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (sqrt.f64 x) (*.f64 y #s(literal 1/3 binary64)))))
(/.f64 (neg.f64 y) (*.f64 (sqrt.f64 x) #s(literal -3 binary64)))
(/.f64 (neg.f64 (/.f64 y (sqrt.f64 x))) #s(literal -3 binary64))
(/.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) y))
(/.f64 #s(literal 1/3 binary64) (/.f64 (sqrt.f64 x) y))
(/.f64 (*.f64 y #s(literal 1/3 binary64)) (sqrt.f64 x))
(/.f64 (*.f64 y #s(literal 1 binary64)) (*.f64 (sqrt.f64 x) #s(literal 3 binary64)))
(/.f64 (*.f64 #s(literal 1 binary64) y) (*.f64 (sqrt.f64 x) #s(literal 3 binary64)))
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 y)) (*.f64 (sqrt.f64 x) #s(literal -3 binary64)))
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (/.f64 y (sqrt.f64 x)))) #s(literal -3 binary64))
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 y #s(literal 1/3 binary64))) (sqrt.f64 x))
(/.f64 (neg.f64 (neg.f64 y)) (neg.f64 (*.f64 (sqrt.f64 x) #s(literal -3 binary64))))
(/.f64 (neg.f64 (*.f64 y #s(literal 1/3 binary64))) (neg.f64 (sqrt.f64 x)))
(/.f64 (neg.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) (neg.f64 (/.f64 #s(literal 1 binary64) y)))
(/.f64 (*.f64 (neg.f64 y) #s(literal 1/3 binary64)) (neg.f64 (sqrt.f64 x)))
(/.f64 (neg.f64 (neg.f64 (neg.f64 y))) (neg.f64 (neg.f64 (*.f64 (sqrt.f64 x) #s(literal -3 binary64)))))
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) y)) (*.f64 (sqrt.f64 x) #s(literal -3 binary64)))
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (neg.f64 y))) (neg.f64 (*.f64 (sqrt.f64 x) #s(literal -3 binary64))))
(/.f64 (neg.f64 (*.f64 y #s(literal 1 binary64))) (*.f64 (sqrt.f64 x) #s(literal -3 binary64)))
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (/.f64 y (sqrt.f64 x))))) #s(literal 3 binary64))
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (*.f64 y #s(literal 1/3 binary64)))) (neg.f64 (sqrt.f64 x)))
(/.f64 (neg.f64 (neg.f64 (*.f64 y #s(literal 1/3 binary64)))) (neg.f64 (neg.f64 (sqrt.f64 x))))
(/.f64 (neg.f64 (*.f64 (neg.f64 y) #s(literal 1/3 binary64))) (neg.f64 (neg.f64 (sqrt.f64 x))))
(pow.f64 (/.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) #s(literal 1 binary64))
(pow.f64 (/.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) y) #s(literal -1 binary64))
(pow.f64 (*.f64 (*.f64 #s(literal -3 binary64) (/.f64 (sqrt.f64 x) y)) (*.f64 #s(literal -3 binary64) (/.f64 (sqrt.f64 x) y))) #s(literal -1/2 binary64))
(pow.f64 (/.f64 (sqrt.f64 x) (*.f64 y #s(literal 1/3 binary64))) #s(literal -1 binary64))
(pow.f64 (pow.f64 (/.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(*.f64 y (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)))
(*.f64 (/.f64 y (sqrt.f64 x)) #s(literal 1/3 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64))))
(*.f64 #s(literal -1/3 binary64) (neg.f64 (/.f64 y (sqrt.f64 x))))
(*.f64 (/.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (*.f64 (/.f64 y (sqrt.f64 x)) #s(literal -1/3 binary64)))
(*.f64 (neg.f64 y) (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal -3 binary64))))
(*.f64 (neg.f64 (/.f64 y (sqrt.f64 x))) #s(literal -1/3 binary64))
(*.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) y)
(*.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)))
(*.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 #s(literal 1/3 binary64) (/.f64 y (sqrt.f64 x)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (*.f64 y #s(literal 1/3 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (pow.f64 (*.f64 #s(literal 3 binary64) (/.f64 #s(literal 1 binary64) y)) #s(literal -1 binary64)))
(*.f64 (*.f64 y #s(literal 1/3 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)))
(*.f64 (*.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)))
(*.f64 (/.f64 y #s(literal 1 binary64)) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal -3 binary64))) (neg.f64 y))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal -3 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (neg.f64 y)) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 x))) (/.f64 (neg.f64 y) #s(literal 3 binary64)))
(*.f64 (pow.f64 (/.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) #s(literal 1/2 binary64)) (pow.f64 (/.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (neg.f64 y)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal -3 binary64))))
(*.f64 (pow.f64 (/.f64 #s(literal 3 binary64) (neg.f64 y)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 x))))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (/.f64 y (sqrt.f64 x))) #s(literal -1 binary64)) #s(literal -1/3 binary64))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 y #s(literal 1/3 binary64))) #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 binary64) (sqrt.f64 x)) (/.f64 y #s(literal -3 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 1/4 binary64))) (/.f64 (*.f64 y #s(literal 1/3 binary64)) (pow.f64 x #s(literal 1/4 binary64))))
(exp.f64 (neg.f64 (log.f64 (*.f64 x #s(literal 9 binary64)))))
(neg.f64 (/.f64 #s(literal -1/9 binary64) x))
(/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 x #s(literal -9 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 9 binary64) (/.f64 #s(literal 1 binary64) x)))
(/.f64 #s(literal -1/9 binary64) (neg.f64 x))
(/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 9 binary64))
(/.f64 #s(literal -1 binary64) (*.f64 x #s(literal -9 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (neg.f64 (*.f64 x #s(literal -9 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 9 binary64) (/.f64 #s(literal 1 binary64) x))))
(/.f64 #s(literal 1/9 binary64) x)
(/.f64 (neg.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -9 binary64))
(/.f64 (neg.f64 (neg.f64 (/.f64 #s(literal 1 binary64) x))) #s(literal 9 binary64))
(pow.f64 (*.f64 x #s(literal 9 binary64)) #s(literal -1 binary64))
(pow.f64 (*.f64 (*.f64 x #s(literal 9 binary64)) (*.f64 x #s(literal 9 binary64))) #s(literal -1/2 binary64))
(pow.f64 (neg.f64 (*.f64 x #s(literal -9 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal 9 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64))
(pow.f64 (pow.f64 (*.f64 x #s(literal 9 binary64)) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x))
(*.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64))
(*.f64 (/.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 #s(literal 1 binary64) x))
(*.f64 (pow.f64 (*.f64 x #s(literal 9 binary64)) #s(literal -1/2 binary64)) (pow.f64 (*.f64 x #s(literal 9 binary64)) #s(literal -1/2 binary64)))
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(/.f64 (neg.f64 (*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 y))
(/.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)))) (neg.f64 y))
(pow.f64 (/.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) y) #s(literal 1 binary64))
(pow.f64 (/.f64 (*.f64 (/.f64 y (sqrt.f64 x)) #s(literal -1/3 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64))
(*.f64 (sqrt.f64 x) (/.f64 #s(literal 3 binary64) y))
(*.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) (/.f64 #s(literal 1 binary64) y)))
(*.f64 #s(literal 3 binary64) (/.f64 (sqrt.f64 x) y))
(*.f64 #s(literal 3 binary64) (/.f64 (/.f64 (sqrt.f64 x) y) #s(literal 1 binary64)))
(*.f64 #s(literal 3 binary64) (pow.f64 (/.f64 (/.f64 (sqrt.f64 x) y) #s(literal 1 binary64)) #s(literal 1 binary64)))
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) y))
(*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) y))
(*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) y) #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 #s(literal -3 binary64) (/.f64 (sqrt.f64 x) y)))
(*.f64 #s(literal -1 binary64) (pow.f64 (*.f64 #s(literal -3 binary64) (/.f64 (sqrt.f64 x) y)) #s(literal 1 binary64)))
(*.f64 (*.f64 (sqrt.f64 x) #s(literal -3 binary64)) (/.f64 #s(literal 1 binary64) (neg.f64 y)))
(*.f64 #s(literal -3 binary64) (/.f64 (sqrt.f64 x) (neg.f64 y)))
(*.f64 #s(literal -3 binary64) (/.f64 (neg.f64 (sqrt.f64 x)) y))
(*.f64 (/.f64 (sqrt.f64 x) y) #s(literal 3 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 (sqrt.f64 x) #s(literal 3 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x))))
(*.f64 (/.f64 #s(literal 3 binary64) y) (sqrt.f64 x))
(*.f64 (/.f64 #s(literal 1 binary64) (neg.f64 y)) (*.f64 (sqrt.f64 x) #s(literal -3 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (neg.f64 y)) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal -3 binary64))) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) (/.f64 #s(literal 1 binary64) y))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) (pow.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) (pow.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal 3 binary64) (neg.f64 y)) (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))) (sqrt.f64 x))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y #s(literal 1/3 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal -3 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (neg.f64 y)))
(*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x))))
(*.f64 (pow.f64 (pow.f64 (/.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (/.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) #s(literal 1/2 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (sqrt.f64 x) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 3 binary64) y) #s(literal 1 binary64)))
(*.f64 (pow.f64 (sqrt.f64 x) #s(literal 1 binary64)) (pow.f64 (*.f64 #s(literal 3 binary64) (/.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal 3 binary64) y) #s(literal 1 binary64)) (pow.f64 (sqrt.f64 x) #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x))))
(*.f64 (pow.f64 (*.f64 (sqrt.f64 x) #s(literal -3 binary64)) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (neg.f64 y)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (neg.f64 y)) #s(literal 1 binary64)) (pow.f64 (*.f64 (sqrt.f64 x) #s(literal -3 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal 3 binary64) (neg.f64 y)) #s(literal 1 binary64)) (pow.f64 (neg.f64 (sqrt.f64 x)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (/.f64 y (sqrt.f64 x))) #s(literal 1 binary64)) #s(literal -3 binary64))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 y #s(literal 1/3 binary64))) #s(literal 1 binary64)) (pow.f64 (sqrt.f64 x) #s(literal 1 binary64)))
(*.f64 (/.f64 (sqrt.f64 x) #s(literal -1 binary64)) (/.f64 #s(literal -3 binary64) y))
(*.f64 (/.f64 (neg.f64 (sqrt.f64 x)) #s(literal 1 binary64)) (/.f64 #s(literal 3 binary64) (neg.f64 y)))

eval301.0ms (3%)

Memory
-14.3MiB live, 475.3MiB allocated
Compiler

Compiled 40 462 to 2 077 computations (94.9% saved)

prune137.0ms (1.4%)

Memory
-13.4MiB live, 401.1MiB allocated
Pruning

21 alts after pruning (20 fresh and 1 done)

PrunedKeptTotal
New1 629181 647
Fresh729
Picked415
Done101
Total1 641211 662
Accuracy
100.0%
Counts
1 662 → 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)))
▶59.6%
(fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/9 binary64) #s(approx (- 1 (/ y (* 3 (sqrt x)))) #s(literal 1 binary64)))
▶99.6%
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x #s(literal 3 binary64)) #s(literal 3 binary64)))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
69.8%
(-.f64 #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) (/.f64 (/.f64 y (sqrt.f64 x)) #s(literal 3 binary64)))
69.8%
(-.f64 #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
▶69.7%
#s(approx (- (- 1 (/ 1 (* x 9))) (/ (/ y (sqrt x)) 3)) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)) #s(literal 1 binary64)))
42.0%
#s(approx (- (- 1 (/ 1 (* x 9))) (/ (/ y (sqrt x)) 3)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64))))
30.2%
#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)))
65.7%
#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))
65.7%
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 (fma.f64 (*.f64 y (sqrt.f64 x)) #s(literal -1/3 binary64) #s(literal -1/9 binary64)) x))
46.6%
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 (fma.f64 x (*.f64 (*.f64 y #s(literal -1/3 binary64)) (*.f64 y #s(literal -1/3 binary64))) #s(literal -1/81 binary64)) (*.f64 x (fma.f64 y (*.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) #s(literal 1/9 binary64)))))
47.0%
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 (-.f64 (/.f64 #s(literal 1/81 binary64) (*.f64 x x)) #s(literal 1 binary64)) (-.f64 (/.f64 #s(literal -1/9 binary64) x) #s(literal 1 binary64))))
47.0%
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 (*.f64 (fma.f64 x (*.f64 (*.f64 y #s(literal -1/3 binary64)) (*.f64 y #s(literal -1/3 binary64))) #s(literal -1/81 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) #s(literal 1/9 binary64)))) x))
▶37.2%
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 #s(approx (+ (* (sqrt x) (* y -1/3)) -1/9) (*.f64 (sqrt.f64 x) (*.f64 y #s(literal -1/3 binary64)))) x))
30.6%
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 #s(approx (+ (* (sqrt x) (* y -1/3)) -1/9) #s(literal -1/9 binary64)) x))
30.2%
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)))
59.7%
#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))))
59.7%
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal -9 binary64)))))
✓59.6%
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)))
65.6%
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (*.f64 (fma.f64 y (*.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) #s(literal -1/9 binary64)) (/.f64 #s(literal 1 binary64) x)))
▶30.0%
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) #s(approx (+ 1 (/ -1/9 x)) #s(literal 1 binary64)))
Compiler

Compiled 504 to 336 computations (33.3% saved)

simplify128.0ms (1.3%)

Memory
4.3MiB live, 123.0MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(/.f64 #s(literal 1 binary64) x)
✓cost-diff0
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
✓cost-diff0
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)) #s(literal 1 binary64))
✓cost-diff0
#s(approx (- (- 1 (/ 1 (* x 9))) (/ (/ y (sqrt x)) 3)) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)) #s(literal 1 binary64)))
✓cost-diff0
(*.f64 (sqrt.f64 x) (*.f64 y #s(literal -1/3 binary64)))
✓cost-diff0
#s(approx (+ (* (sqrt x) (* y -1/3)) -1/9) (*.f64 (sqrt.f64 x) (*.f64 y #s(literal -1/3 binary64))))
✓cost-diff0
(/.f64 #s(approx (+ (* (sqrt x) (* y -1/3)) -1/9) (*.f64 (sqrt.f64 x) (*.f64 y #s(literal -1/3 binary64)))) x)
✓cost-diff0
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 #s(approx (+ (* (sqrt x) (* y -1/3)) -1/9) (*.f64 (sqrt.f64 x) (*.f64 y #s(literal -1/3 binary64)))) x))
✓cost-diff0
#s(approx (- 1 (/ y (* 3 (sqrt x)))) #s(literal 1 binary64))
✓cost-diff0
(/.f64 #s(literal 1 binary64) x)
✓cost-diff192
(fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/9 binary64) #s(approx (- 1 (/ y (* 3 (sqrt x)))) #s(literal 1 binary64)))
✓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) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x #s(literal 3 binary64)) #s(literal 3 binary64))))
✓cost-diff128
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x #s(literal 3 binary64)) #s(literal 3 binary64)))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
✓cost-diff320
(*.f64 (*.f64 x #s(literal 3 binary64)) #s(literal 3 binary64))
✓cost-diff320
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x #s(literal 3 binary64)) #s(literal 3 binary64)))
Rules
1 568×lower-fma.f32
1 564×lower-fma.f64
912×lower-*.f32
902×lower-*.f64
344×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
044242
063233
1107221
2172221
3267221
4409221
5682221
61381221
72237221
82619221
92920221
102980221
113021221
123060221
133090221
143103221
03103212
Stop Event
1×iter limit
1×saturated
1×iter limit
Calls
Call 1
Inputs
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x #s(literal 3 binary64)) #s(literal 3 binary64)))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x #s(literal 3 binary64)) #s(literal 3 binary64))))
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x #s(literal 3 binary64)) #s(literal 3 binary64)))
(*.f64 (*.f64 x #s(literal 3 binary64)) #s(literal 3 binary64))
(*.f64 x #s(literal 3 binary64))
x
#s(literal 3 binary64)
(/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))
y
(*.f64 #s(literal 3 binary64) (sqrt.f64 x))
(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)
(fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/9 binary64) #s(approx (- 1 (/ y (* 3 (sqrt x)))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
#s(literal -1/9 binary64)
#s(approx (- 1 (/ y (* 3 (sqrt x)))) #s(literal 1 binary64))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 #s(approx (+ (* (sqrt x) (* y -1/3)) -1/9) (*.f64 (sqrt.f64 x) (*.f64 y #s(literal -1/3 binary64)))) x))
(/.f64 #s(approx (+ (* (sqrt x) (* y -1/3)) -1/9) (*.f64 (sqrt.f64 x) (*.f64 y #s(literal -1/3 binary64)))) x)
#s(approx (+ (* (sqrt x) (* y -1/3)) -1/9) (*.f64 (sqrt.f64 x) (*.f64 y #s(literal -1/3 binary64))))
(*.f64 (sqrt.f64 x) (*.f64 y #s(literal -1/3 binary64)))
(sqrt.f64 x)
x
(*.f64 y #s(literal -1/3 binary64))
y
#s(literal -1/3 binary64)
#s(approx (- (- 1 (/ 1 (* x 9))) (/ (/ y (sqrt x)) 3)) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)) #s(literal 1 binary64)))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)) #s(literal 1 binary64))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
(*.f64 y #s(literal -1/3 binary64))
y
#s(literal -1/3 binary64)
Outputs
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x #s(literal 3 binary64)) #s(literal 3 binary64)))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
(fma.f64 y (/.f64 #s(literal -1/3 binary64) (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 (*.f64 x #s(literal 3 binary64)) #s(literal 3 binary64))))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x))
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x #s(literal 3 binary64)) #s(literal 3 binary64)))
(/.f64 #s(literal 1/9 binary64) x)
(*.f64 (*.f64 x #s(literal 3 binary64)) #s(literal 3 binary64))
(*.f64 x #s(literal 9 binary64))
(*.f64 x #s(literal 3 binary64))
x
#s(literal 3 binary64)
(/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))
y
(*.f64 #s(literal 3 binary64) (sqrt.f64 x))
(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)
(fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/9 binary64) #s(approx (- 1 (/ y (* 3 (sqrt x)))) #s(literal 1 binary64)))
(+.f64 #s(approx (- 1 (/ y (* 3 (sqrt x)))) #s(literal 1 binary64)) (/.f64 #s(literal -1/9 binary64) x))
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
#s(literal -1/9 binary64)
#s(approx (- 1 (/ y (* 3 (sqrt x)))) #s(literal 1 binary64))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 #s(approx (+ (* (sqrt x) (* y -1/3)) -1/9) (*.f64 (sqrt.f64 x) (*.f64 y #s(literal -1/3 binary64)))) x))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 #s(approx (+ (* (sqrt x) (* y -1/3)) -1/9) (*.f64 y (*.f64 (sqrt.f64 x) #s(literal -1/3 binary64)))) x))
(/.f64 #s(approx (+ (* (sqrt x) (* y -1/3)) -1/9) (*.f64 (sqrt.f64 x) (*.f64 y #s(literal -1/3 binary64)))) x)
(/.f64 #s(approx (+ (* (sqrt x) (* y -1/3)) -1/9) (*.f64 y (*.f64 (sqrt.f64 x) #s(literal -1/3 binary64)))) x)
#s(approx (+ (* (sqrt x) (* y -1/3)) -1/9) (*.f64 (sqrt.f64 x) (*.f64 y #s(literal -1/3 binary64))))
#s(approx (+ (* (sqrt x) (* y -1/3)) -1/9) (*.f64 y (*.f64 (sqrt.f64 x) #s(literal -1/3 binary64))))
(*.f64 (sqrt.f64 x) (*.f64 y #s(literal -1/3 binary64)))
(*.f64 y (*.f64 (sqrt.f64 x) #s(literal -1/3 binary64)))
(sqrt.f64 x)
x
(*.f64 y #s(literal -1/3 binary64))
y
#s(literal -1/3 binary64)
#s(approx (- (- 1 (/ 1 (* x 9))) (/ (/ y (sqrt x)) 3)) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)) #s(literal 1 binary64)))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)) #s(literal 1 binary64)))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)) #s(literal 1 binary64))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
(*.f64 y #s(literal -1/3 binary64))
y
#s(literal -1/3 binary64)

localize197.0ms (2%)

Memory
5.2MiB live, 203.3MiB allocated
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
✓accuracy99.8%
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
✓accuracy99.7%
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)) #s(literal 1 binary64))
✓accuracy99.4%
(*.f64 y #s(literal -1/3 binary64))
✓accuracy70.0%
#s(approx (- (- 1 (/ 1 (* x 9))) (/ (/ y (sqrt x)) 3)) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)) #s(literal 1 binary64)))
✓accuracy99.4%
(*.f64 y #s(literal -1/3 binary64))
✓accuracy94.8%
(/.f64 #s(approx (+ (* (sqrt x) (* y -1/3)) -1/9) (*.f64 (sqrt.f64 x) (*.f64 y #s(literal -1/3 binary64)))) x)
✓accuracy70.8%
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 #s(approx (+ (* (sqrt x) (* y -1/3)) -1/9) (*.f64 (sqrt.f64 x) (*.f64 y #s(literal -1/3 binary64)))) x))
✓accuracy55.8%
#s(approx (+ (* (sqrt x) (* y -1/3)) -1/9) (*.f64 (sqrt.f64 x) (*.f64 y #s(literal -1/3 binary64))))
✓accuracy100.0%
(/.f64 #s(literal 1 binary64) x)
✓accuracy99.8%
(fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/9 binary64) #s(approx (- 1 (/ y (* 3 (sqrt x)))) #s(literal 1 binary64)))
✓accuracy46.6%
#s(approx (- 1 (/ y (* 3 (sqrt x)))) #s(literal 1 binary64))
✓accuracy59.8%
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) #s(approx (+ 1 (/ -1/9 x)) #s(literal 1 binary64)))
✓accuracy48.2%
#s(approx (+ 1 (/ -1/9 x)) #s(literal 1 binary64))
✓accuracy99.6%
(*.f64 (*.f64 x #s(literal 3 binary64)) #s(literal 3 binary64))
✓accuracy99.6%
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x #s(literal 3 binary64)) #s(literal 3 binary64)))
✓accuracy99.6%
(/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))
✓accuracy99.5%
(*.f64 #s(literal 3 binary64) (sqrt.f64 x))
Samples
65.0ms256×0valid
Compiler

Compiled 190 to 37 computations (80.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 48.0ms
ival-div: 15.0ms (31% of total)
ival-mult: 12.0ms (24.8% of total)
ival-sub: 6.0ms (12.4% of total)
const: 6.0ms (12.4% of total)
ival-add: 5.0ms (10.3% of total)
ival-sqrt: 4.0ms (8.3% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series13.0ms (0.1%)

Memory
-22.5MiB live, 15.9MiB allocated
Counts
19 → 360
Calls
Call 1
Inputs
#<alt (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x #s(literal 3 binary64)) #s(literal 3 binary64)))>
#<alt (*.f64 (*.f64 x #s(literal 3 binary64)) #s(literal 3 binary64))>
#<alt (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x #s(literal 3 binary64)) #s(literal 3 binary64)))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))>
#<alt (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x #s(literal 3 binary64)) #s(literal 3 binary64))))>
#<alt #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) #s(approx (+ 1 (/ -1/9 x)) #s(literal 1 binary64)))>
#<alt #s(approx (+ 1 (/ -1/9 x)) #s(literal 1 binary64))>
#<alt (fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/9 binary64) #s(approx (- 1 (/ y (* 3 (sqrt x)))) #s(literal 1 binary64)))>
#<alt (/.f64 #s(literal 1 binary64) x)>
#<alt #s(approx (- 1 (/ y (* 3 (sqrt x)))) #s(literal 1 binary64))>
#<alt #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 #s(approx (+ (* (sqrt x) (* y -1/3)) -1/9) (*.f64 (sqrt.f64 x) (*.f64 y #s(literal -1/3 binary64)))) x))>
#<alt (/.f64 #s(approx (+ (* (sqrt x) (* y -1/3)) -1/9) (*.f64 (sqrt.f64 x) (*.f64 y #s(literal -1/3 binary64)))) x)>
#<alt #s(approx (+ (* (sqrt x) (* y -1/3)) -1/9) (*.f64 (sqrt.f64 x) (*.f64 y #s(literal -1/3 binary64))))>
#<alt (*.f64 (sqrt.f64 x) (*.f64 y #s(literal -1/3 binary64)))>
#<alt #s(approx (- (- 1 (/ 1 (* x 9))) (/ (/ y (sqrt x)) 3)) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)) #s(literal 1 binary64)))>
#<alt (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)) #s(literal 1 binary64))>
#<alt (sqrt.f64 (/.f64 #s(literal 1 binary64) x))>
#<alt (*.f64 #s(literal 3 binary64) (sqrt.f64 x))>
#<alt (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))>
#<alt (*.f64 y #s(literal -1/3 binary64))>
Outputs
#<alt (/ 1/9 x)>
#<alt (/ 1/9 x)>
#<alt (/ 1/9 x)>
#<alt (/ 1/9 x)>
#<alt (/ 1/9 x)>
#<alt (/ 1/9 x)>
#<alt (/ 1/9 x)>
#<alt (/ 1/9 x)>
#<alt (/ 1/9 x)>
#<alt (/ 1/9 x)>
#<alt (/ 1/9 x)>
#<alt (/ 1/9 x)>
#<alt (* 9 x)>
#<alt (* 9 x)>
#<alt (* 9 x)>
#<alt (* 9 x)>
#<alt (* 9 x)>
#<alt (* 9 x)>
#<alt (* 9 x)>
#<alt (* 9 x)>
#<alt (* 9 x)>
#<alt (* 9 x)>
#<alt (* 9 x)>
#<alt (* 9 x)>
#<alt (* -1 (/ (+ 1/9 (* 1/3 (* (sqrt x) y))) x))>
#<alt (/ (- x (+ 1/9 (* 1/3 (* (sqrt x) y)))) x)>
#<alt (/ (- x (+ 1/9 (* 1/3 (* (sqrt x) y)))) x)>
#<alt (/ (- x (+ 1/9 (* 1/3 (* (sqrt x) y)))) x)>
#<alt (- 1 (* 1/3 (* (sqrt (/ 1 x)) y)))>
#<alt (- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))>
#<alt (- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))>
#<alt (- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))>
#<alt (- 1 (* 1/3 (* (sqrt (/ 1 x)) y)))>
#<alt (- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))>
#<alt (- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))>
#<alt (- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))>
#<alt (- 1 (* 1/9 (/ 1 x)))>
#<alt (- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))>
#<alt (- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))>
#<alt (- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))>
#<alt (* -1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* y (- (/ 1 y) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/9 (* x y)))))>
#<alt (* y (- (/ 1 y) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/9 (* x y)))))>
#<alt (* y (- (/ 1 y) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/9 (* x y)))))>
#<alt (* -1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* -1 (* y (- (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* -1/3 (sqrt (/ 1 x))))))>
#<alt (* -1 (* y (- (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* -1/3 (sqrt (/ 1 x))))))>
#<alt (* -1 (* y (- (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* -1/3 (sqrt (/ 1 x))))))>
#<alt (/ -1/9 x)>
#<alt (/ (- x 1/9) x)>
#<alt (/ (- x 1/9) x)>
#<alt (/ (- x 1/9) x)>
#<alt 1>
#<alt (- 1 (* 1/9 (/ 1 x)))>
#<alt (- 1 (* 1/9 (/ 1 x)))>
#<alt (- 1 (* 1/9 (/ 1 x)))>
#<alt 1>
#<alt (- 1 (* 1/9 (/ 1 x)))>
#<alt (- 1 (* 1/9 (/ 1 x)))>
#<alt (- 1 (* 1/9 (/ 1 x)))>
#<alt (* -1 (/ (+ 1/9 (* 1/3 (* (sqrt x) y))) x))>
#<alt (/ (- x (+ 1/9 (* 1/3 (* (sqrt x) y)))) x)>
#<alt (/ (- x (+ 1/9 (* 1/3 (* (sqrt x) y)))) x)>
#<alt (/ (- x (+ 1/9 (* 1/3 (* (sqrt x) y)))) x)>
#<alt (- 1 (* 1/3 (* (sqrt (/ 1 x)) y)))>
#<alt (- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))>
#<alt (- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))>
#<alt (- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))>
#<alt (- 1 (* 1/3 (* (sqrt (/ 1 x)) y)))>
#<alt (- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))>
#<alt (- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))>
#<alt (- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))>
#<alt (- 1 (* 1/9 (/ 1 x)))>
#<alt (- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))>
#<alt (- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))>
#<alt (- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))>
#<alt (* -1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* y (- (/ 1 y) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/9 (* x y)))))>
#<alt (* y (- (/ 1 y) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/9 (* x y)))))>
#<alt (* y (- (/ 1 y) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/9 (* x y)))))>
#<alt (* -1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* -1 (* y (- (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* -1/3 (sqrt (/ 1 x))))))>
#<alt (* -1 (* y (- (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* -1/3 (sqrt (/ 1 x))))))>
#<alt (* -1 (* y (- (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* -1/3 (sqrt (/ 1 x))))))>
#<alt (/ -1/9 x)>
#<alt (/ (- x 1/9) x)>
#<alt (/ (- x 1/9) x)>
#<alt (/ (- x 1/9) x)>
#<alt 1>
#<alt (- 1 (* 1/9 (/ 1 x)))>
#<alt (- 1 (* 1/9 (/ 1 x)))>
#<alt (- 1 (* 1/9 (/ 1 x)))>
#<alt 1>
#<alt (- 1 (* 1/9 (/ 1 x)))>
#<alt (- 1 (* 1/9 (/ 1 x)))>
#<alt (- 1 (* 1/9 (/ 1 x)))>
#<alt (* -1 (/ (+ 1/9 (* 1/3 (* (sqrt x) y))) x))>
#<alt (/ (- x (+ 1/9 (* 1/3 (* (sqrt x) y)))) x)>
#<alt (/ (- x (+ 1/9 (* 1/3 (* (sqrt x) y)))) x)>
#<alt (/ (- x (+ 1/9 (* 1/3 (* (sqrt x) y)))) x)>
#<alt (- 1 (* 1/3 (* (sqrt (/ 1 x)) y)))>
#<alt (- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))>
#<alt (- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))>
#<alt (- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))>
#<alt (- 1 (* 1/3 (* (sqrt (/ 1 x)) y)))>
#<alt (- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))>
#<alt (- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))>
#<alt (- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))>
#<alt (- 1 (* 1/9 (/ 1 x)))>
#<alt (- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))>
#<alt (- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))>
#<alt (- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))>
#<alt (* -1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* y (- (/ 1 y) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/9 (* x y)))))>
#<alt (* y (- (/ 1 y) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/9 (* x y)))))>
#<alt (* y (- (/ 1 y) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/9 (* x y)))))>
#<alt (* -1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* -1 (* y (- (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* -1/3 (sqrt (/ 1 x))))))>
#<alt (* -1 (* y (- (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* -1/3 (sqrt (/ 1 x))))))>
#<alt (* -1 (* y (- (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* -1/3 (sqrt (/ 1 x))))))>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt 1>
#<alt (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y)))>
#<alt (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y)))>
#<alt (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y)))>
#<alt (* -1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* y (- (/ 1 y) (* 1/3 (sqrt (/ 1 x)))))>
#<alt (* y (- (/ 1 y) (* 1/3 (sqrt (/ 1 x)))))>
#<alt (* y (- (/ 1 y) (* 1/3 (sqrt (/ 1 x)))))>
#<alt (* -1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* y (+ (* -1/3 (sqrt (/ 1 x))) (/ 1 y)))>
#<alt (* y (+ (* -1/3 (sqrt (/ 1 x))) (/ 1 y)))>
#<alt (* y (+ (* -1/3 (sqrt (/ 1 x))) (/ 1 y)))>
#<alt (* -1/3 (* (sqrt (/ 1 x)) y))>
#<alt (/ (- x (* 1/3 (* (sqrt x) y))) x)>
#<alt (/ (- x (* 1/3 (* (sqrt x) y))) x)>
#<alt (/ (- x (* 1/3 (* (sqrt x) y))) x)>
#<alt (- 1 (* 1/3 (* (sqrt (/ 1 x)) y)))>
#<alt (- 1 (* 1/3 (* (sqrt (/ 1 x)) y)))>
#<alt (- 1 (* 1/3 (* (sqrt (/ 1 x)) y)))>
#<alt (- 1 (* 1/3 (* (sqrt (/ 1 x)) y)))>
#<alt (- 1 (* 1/3 (* (sqrt (/ 1 x)) y)))>
#<alt (- 1 (* 1/3 (* (sqrt (/ 1 x)) y)))>
#<alt (- 1 (* 1/3 (* (sqrt (/ 1 x)) y)))>
#<alt (- 1 (* 1/3 (* (sqrt (/ 1 x)) y)))>
#<alt (* -1 (/ (+ 1/9 (* 1/3 (* (sqrt x) y))) x))>
#<alt (/ (- x (+ 1/9 (* 1/3 (* (sqrt x) y)))) x)>
#<alt (/ (- x (+ 1/9 (* 1/3 (* (sqrt x) y)))) x)>
#<alt (/ (- x (+ 1/9 (* 1/3 (* (sqrt x) y)))) x)>
#<alt (- 1 (* 1/3 (* (sqrt (/ 1 x)) y)))>
#<alt (- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))>
#<alt (- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))>
#<alt (- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))>
#<alt (- 1 (* 1/3 (* (sqrt (/ 1 x)) y)))>
#<alt (- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))>
#<alt (- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))>
#<alt (- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))>
#<alt (- 1 (* 1/9 (/ 1 x)))>
#<alt (- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))>
#<alt (- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))>
#<alt (- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))>
#<alt (* -1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* y (- (/ 1 y) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/9 (* x y)))))>
#<alt (* y (- (/ 1 y) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/9 (* x y)))))>
#<alt (* y (- (/ 1 y) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/9 (* x y)))))>
#<alt (* -1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* -1 (* y (- (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* -1/3 (sqrt (/ 1 x))))))>
#<alt (* -1 (* y (- (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* -1/3 (sqrt (/ 1 x))))))>
#<alt (* -1 (* y (- (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* -1/3 (sqrt (/ 1 x))))))>
#<alt (/ (- (* -1/3 (* (sqrt x) y)) 1/9) x)>
#<alt (/ (- (* -1/3 (* (sqrt x) y)) 1/9) x)>
#<alt (/ (- (* -1/3 (* (sqrt x) y)) 1/9) x)>
#<alt (/ (- (* -1/3 (* (sqrt x) y)) 1/9) x)>
#<alt (* -1/3 (* (sqrt (/ 1 x)) y))>
#<alt (- (* -1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x)))>
#<alt (- (* -1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x)))>
#<alt (- (* -1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x)))>
#<alt (* 1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))>
#<alt (- (* 1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (* 1/9 (/ 1 x)))>
#<alt (- (* 1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (* 1/9 (/ 1 x)))>
#<alt (- (* 1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (* 1/9 (/ 1 x)))>
#<alt (/ -1/9 x)>
#<alt (- (* -1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x)))>
#<alt (- (* -1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x)))>
#<alt (- (* -1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x)))>
#<alt (* -1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* y (- (* -1/3 (sqrt (/ 1 x))) (* 1/9 (/ 1 (* x y)))))>
#<alt (* y (- (* -1/3 (sqrt (/ 1 x))) (* 1/9 (/ 1 (* x y)))))>
#<alt (* y (- (* -1/3 (sqrt (/ 1 x))) (* 1/9 (/ 1 (* x y)))))>
#<alt (* -1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* -1 (* y (+ (* 1/3 (sqrt (/ 1 x))) (* 1/9 (/ 1 (* x y))))))>
#<alt (* -1 (* y (+ (* 1/3 (sqrt (/ 1 x))) (* 1/9 (/ 1 (* x y))))))>
#<alt (* -1 (* y (+ (* 1/3 (sqrt (/ 1 x))) (* 1/9 (/ 1 (* x y))))))>
#<alt (- (* -1/3 (* (sqrt x) y)) 1/9)>
#<alt (- (* -1/3 (* (sqrt x) y)) 1/9)>
#<alt (- (* -1/3 (* (sqrt x) y)) 1/9)>
#<alt (- (* -1/3 (* (sqrt x) y)) 1/9)>
#<alt (* -1/3 (* (sqrt x) y))>
#<alt (* x (- (* -1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))>
#<alt (* x (- (* -1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))>
#<alt (* x (- (* -1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))>
#<alt (* 1/3 (* (sqrt x) (* y (pow (sqrt -1) 2))))>
#<alt (* -1 (* x (+ (* -1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (* 1/9 (/ 1 x)))))>
#<alt (* -1 (* x (+ (* -1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (* 1/9 (/ 1 x)))))>
#<alt (* -1 (* x (+ (* -1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (* 1/9 (/ 1 x)))))>
#<alt -1/9>
#<alt (- (* -1/3 (* (sqrt x) y)) 1/9)>
#<alt (- (* -1/3 (* (sqrt x) y)) 1/9)>
#<alt (- (* -1/3 (* (sqrt x) y)) 1/9)>
#<alt (* -1/3 (* (sqrt x) y))>
#<alt (* y (- (* -1/3 (sqrt x)) (* 1/9 (/ 1 y))))>
#<alt (* y (- (* -1/3 (sqrt x)) (* 1/9 (/ 1 y))))>
#<alt (* y (- (* -1/3 (sqrt x)) (* 1/9 (/ 1 y))))>
#<alt (* -1/3 (* (sqrt x) y))>
#<alt (* -1 (* y (+ (* 1/3 (sqrt x)) (* 1/9 (/ 1 y)))))>
#<alt (* -1 (* y (+ (* 1/3 (sqrt x)) (* 1/9 (/ 1 y)))))>
#<alt (* -1 (* y (+ (* 1/3 (sqrt x)) (* 1/9 (/ 1 y)))))>
#<alt (* -1/3 (* (sqrt x) y))>
#<alt (* -1/3 (* (sqrt x) y))>
#<alt (* -1/3 (* (sqrt x) y))>
#<alt (* -1/3 (* (sqrt x) y))>
#<alt (* -1/3 (* (sqrt x) y))>
#<alt (* -1/3 (* (sqrt x) y))>
#<alt (* -1/3 (* (sqrt x) y))>
#<alt (* -1/3 (* (sqrt x) y))>
#<alt (* 1/3 (* (sqrt x) (* y (pow (sqrt -1) 2))))>
#<alt (* 1/3 (* (sqrt x) (* y (pow (sqrt -1) 2))))>
#<alt (* 1/3 (* (sqrt x) (* y (pow (sqrt -1) 2))))>
#<alt (* 1/3 (* (sqrt x) (* y (pow (sqrt -1) 2))))>
#<alt (* -1/3 (* (sqrt x) y))>
#<alt (* -1/3 (* (sqrt x) y))>
#<alt (* -1/3 (* (sqrt x) y))>
#<alt (* -1/3 (* (sqrt x) y))>
#<alt (* -1/3 (* (sqrt x) y))>
#<alt (* -1/3 (* (sqrt x) y))>
#<alt (* -1/3 (* (sqrt x) y))>
#<alt (* -1/3 (* (sqrt x) y))>
#<alt (* -1/3 (* (sqrt x) y))>
#<alt (* -1/3 (* (sqrt x) y))>
#<alt (* -1/3 (* (sqrt x) y))>
#<alt (* -1/3 (* (sqrt x) y))>
#<alt (* -1 (/ (+ 1/9 (* 1/3 (* (sqrt x) y))) x))>
#<alt (/ (- x (+ 1/9 (* 1/3 (* (sqrt x) y)))) x)>
#<alt (/ (- x (+ 1/9 (* 1/3 (* (sqrt x) y)))) x)>
#<alt (/ (- x (+ 1/9 (* 1/3 (* (sqrt x) y)))) x)>
#<alt (- 1 (* 1/3 (* (sqrt (/ 1 x)) y)))>
#<alt (- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))>
#<alt (- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))>
#<alt (- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))>
#<alt (- 1 (* 1/3 (* (sqrt (/ 1 x)) y)))>
#<alt (- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))>
#<alt (- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))>
#<alt (- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))>
#<alt (- 1 (* 1/9 (/ 1 x)))>
#<alt (- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))>
#<alt (- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))>
#<alt (- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))>
#<alt (* -1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* y (- (/ 1 y) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/9 (* x y)))))>
#<alt (* y (- (/ 1 y) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/9 (* x y)))))>
#<alt (* y (- (/ 1 y) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/9 (* x y)))))>
#<alt (* -1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* -1 (* y (- (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* -1/3 (sqrt (/ 1 x))))))>
#<alt (* -1 (* y (- (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* -1/3 (sqrt (/ 1 x))))))>
#<alt (* -1 (* y (- (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* -1/3 (sqrt (/ 1 x))))))>
#<alt (* -1/3 (* (sqrt (/ 1 x)) y))>
#<alt (/ (+ x (* -1/3 (* (sqrt x) y))) x)>
#<alt (/ (+ x (* -1/3 (* (sqrt x) y))) x)>
#<alt (/ (+ x (* -1/3 (* (sqrt x) y))) x)>
#<alt (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y)))>
#<alt (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y)))>
#<alt (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y)))>
#<alt (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y)))>
#<alt (+ 1 (* -1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))>
#<alt (+ 1 (* -1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))>
#<alt (+ 1 (* -1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))>
#<alt (+ 1 (* -1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))>
#<alt 1>
#<alt (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y)))>
#<alt (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y)))>
#<alt (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y)))>
#<alt (* -1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* y (+ (* -1/3 (sqrt (/ 1 x))) (/ 1 y)))>
#<alt (* y (+ (* -1/3 (sqrt (/ 1 x))) (/ 1 y)))>
#<alt (* y (+ (* -1/3 (sqrt (/ 1 x))) (/ 1 y)))>
#<alt (* -1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* -1 (* y (- (* 1/3 (sqrt (/ 1 x))) (/ 1 y))))>
#<alt (* -1 (* y (- (* 1/3 (sqrt (/ 1 x))) (/ 1 y))))>
#<alt (* -1 (* y (- (* 1/3 (sqrt (/ 1 x))) (/ 1 y))))>
#<alt (sqrt (/ 1 x))>
#<alt (sqrt (/ 1 x))>
#<alt (sqrt (/ 1 x))>
#<alt (sqrt (/ 1 x))>
#<alt (sqrt (/ 1 x))>
#<alt (sqrt (/ 1 x))>
#<alt (sqrt (/ 1 x))>
#<alt (sqrt (/ 1 x))>
#<alt (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))>
#<alt (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))>
#<alt (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))>
#<alt (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))>
#<alt (* 3 (sqrt x))>
#<alt (* 3 (sqrt x))>
#<alt (* 3 (sqrt x))>
#<alt (* 3 (sqrt x))>
#<alt (* 3 (sqrt x))>
#<alt (* 3 (sqrt x))>
#<alt (* 3 (sqrt x))>
#<alt (* 3 (sqrt x))>
#<alt (* -3 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* -3 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* -3 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* -3 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* -1/3 y)>
#<alt (* -1/3 y)>
#<alt (* -1/3 y)>
#<alt (* -1/3 y)>
#<alt (* -1/3 y)>
#<alt (* -1/3 y)>
#<alt (* -1/3 y)>
#<alt (* -1/3 y)>
#<alt (* -1/3 y)>
#<alt (* -1/3 y)>
#<alt (* -1/3 y)>
#<alt (* -1/3 y)>
Calls

90 calls:

TimeVariablePointExpression
3.0ms
x
@-inf
(* (sqrt x) (* y -1/3))
0.0ms
x
@-inf
(+ (* (sqrt (/ 1 x)) (* y -1/3)) 1)
0.0ms
x
@-inf
(sqrt (/ 1 x))
0.0ms
y
@0
(+ (* (sqrt (/ 1 x)) (* y -1/3)) 1)
0.0ms
y
@0
(* (sqrt x) (* y -1/3))

simplify338.0ms (3.4%)

Memory
16.7MiB live, 292.7MiB allocated
Algorithm
1×egg-herbie
Rules
6 446×lower-fma.f64
6 446×lower-fma.f32
3 360×lower-*.f64
3 360×lower-*.f32
2 554×lower--.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0993128
12683087
27693071
320643071
448723071
569333071
081702888
Stop Event
1×iter limit
1×node limit
Counts
360 → 360
Calls
Call 1
Inputs
(/ 1/9 x)
(/ 1/9 x)
(/ 1/9 x)
(/ 1/9 x)
(/ 1/9 x)
(/ 1/9 x)
(/ 1/9 x)
(/ 1/9 x)
(/ 1/9 x)
(/ 1/9 x)
(/ 1/9 x)
(/ 1/9 x)
(* 9 x)
(* 9 x)
(* 9 x)
(* 9 x)
(* 9 x)
(* 9 x)
(* 9 x)
(* 9 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 (* 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))))
(- 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))
(* 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 (* 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))))))
(/ -1/9 x)
(/ (- x 1/9) x)
(/ (- x 1/9) x)
(/ (- x 1/9) x)
1
(- 1 (* 1/9 (/ 1 x)))
(- 1 (* 1/9 (/ 1 x)))
(- 1 (* 1/9 (/ 1 x)))
1
(- 1 (* 1/9 (/ 1 x)))
(- 1 (* 1/9 (/ 1 x)))
(- 1 (* 1/9 (/ 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 (* 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))))
(- 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))
(* 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 (* 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))))))
(/ -1/9 x)
(/ (- x 1/9) x)
(/ (- x 1/9) x)
(/ (- x 1/9) x)
1
(- 1 (* 1/9 (/ 1 x)))
(- 1 (* 1/9 (/ 1 x)))
(- 1 (* 1/9 (/ 1 x)))
1
(- 1 (* 1/9 (/ 1 x)))
(- 1 (* 1/9 (/ 1 x)))
(- 1 (* 1/9 (/ 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 (* 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))))
(- 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))
(* 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 (* 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 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
1
(+ 1 (* -1/3 (* (sqrt (/ 1 x)) y)))
(+ 1 (* -1/3 (* (sqrt (/ 1 x)) y)))
(+ 1 (* -1/3 (* (sqrt (/ 1 x)) y)))
(* -1/3 (* (sqrt (/ 1 x)) y))
(* y (- (/ 1 y) (* 1/3 (sqrt (/ 1 x)))))
(* y (- (/ 1 y) (* 1/3 (sqrt (/ 1 x)))))
(* y (- (/ 1 y) (* 1/3 (sqrt (/ 1 x)))))
(* -1/3 (* (sqrt (/ 1 x)) y))
(* y (+ (* -1/3 (sqrt (/ 1 x))) (/ 1 y)))
(* y (+ (* -1/3 (sqrt (/ 1 x))) (/ 1 y)))
(* y (+ (* -1/3 (sqrt (/ 1 x))) (/ 1 y)))
(* -1/3 (* (sqrt (/ 1 x)) y))
(/ (- x (* 1/3 (* (sqrt x) y))) x)
(/ (- x (* 1/3 (* (sqrt x) y))) x)
(/ (- x (* 1/3 (* (sqrt x) y))) x)
(- 1 (* 1/3 (* (sqrt (/ 1 x)) y)))
(- 1 (* 1/3 (* (sqrt (/ 1 x)) y)))
(- 1 (* 1/3 (* (sqrt (/ 1 x)) y)))
(- 1 (* 1/3 (* (sqrt (/ 1 x)) y)))
(- 1 (* 1/3 (* (sqrt (/ 1 x)) y)))
(- 1 (* 1/3 (* (sqrt (/ 1 x)) y)))
(- 1 (* 1/3 (* (sqrt (/ 1 x)) y)))
(- 1 (* 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)
(- 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))))
(- 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))
(* 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)))))
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(* -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)) 1/9) x)
(/ (- (* -1/3 (* (sqrt x) y)) 1/9) x)
(/ (- (* -1/3 (* (sqrt x) y)) 1/9) x)
(/ (- (* -1/3 (* (sqrt x) y)) 1/9) x)
(* -1/3 (* (sqrt (/ 1 x)) y))
(- (* -1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x)))
(- (* -1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x)))
(- (* -1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x)))
(* 1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))
(- (* 1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (* 1/9 (/ 1 x)))
(- (* 1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (* 1/9 (/ 1 x)))
(- (* 1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (* 1/9 (/ 1 x)))
(/ -1/9 x)
(- (* -1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x)))
(- (* -1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x)))
(- (* -1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x)))
(* -1/3 (* (sqrt (/ 1 x)) y))
(* y (- (* -1/3 (sqrt (/ 1 x))) (* 1/9 (/ 1 (* x y)))))
(* y (- (* -1/3 (sqrt (/ 1 x))) (* 1/9 (/ 1 (* x y)))))
(* y (- (* -1/3 (sqrt (/ 1 x))) (* 1/9 (/ 1 (* x y)))))
(* -1/3 (* (sqrt (/ 1 x)) y))
(* -1 (* y (+ (* 1/3 (sqrt (/ 1 x))) (* 1/9 (/ 1 (* x y))))))
(* -1 (* y (+ (* 1/3 (sqrt (/ 1 x))) (* 1/9 (/ 1 (* x y))))))
(* -1 (* y (+ (* 1/3 (sqrt (/ 1 x))) (* 1/9 (/ 1 (* x y))))))
(- (* -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))
(* 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))))
(* 1/3 (* (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)))))
-1/9
(- (* -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))
(* 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 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 x) y))
(* -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))
(* -1/3 (* (sqrt x) y))
(* -1/3 (* (sqrt x) y))
(* 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))))
(* -1/3 (* (sqrt x) y))
(* -1/3 (* (sqrt x) y))
(* -1/3 (* (sqrt x) y))
(* -1/3 (* (sqrt x) y))
(* -1/3 (* (sqrt x) y))
(* -1/3 (* (sqrt x) y))
(* -1/3 (* (sqrt x) y))
(* -1/3 (* (sqrt x) y))
(* -1/3 (* (sqrt x) y))
(* -1/3 (* (sqrt x) y))
(* -1/3 (* (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 (* 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))))
(- 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))
(* 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 (* 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))
(/ (+ x (* -1/3 (* (sqrt x) y))) x)
(/ (+ x (* -1/3 (* (sqrt x) y))) x)
(/ (+ x (* -1/3 (* (sqrt x) y))) x)
(+ 1 (* -1/3 (* (sqrt (/ 1 x)) y)))
(+ 1 (* -1/3 (* (sqrt (/ 1 x)) y)))
(+ 1 (* -1/3 (* (sqrt (/ 1 x)) y)))
(+ 1 (* -1/3 (* (sqrt (/ 1 x)) y)))
(+ 1 (* -1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))
(+ 1 (* -1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))
(+ 1 (* -1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))
(+ 1 (* -1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))
1
(+ 1 (* -1/3 (* (sqrt (/ 1 x)) y)))
(+ 1 (* -1/3 (* (sqrt (/ 1 x)) y)))
(+ 1 (* -1/3 (* (sqrt (/ 1 x)) y)))
(* -1/3 (* (sqrt (/ 1 x)) y))
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(* y (+ (* -1/3 (sqrt (/ 1 x))) (/ 1 y)))
(* y (+ (* -1/3 (sqrt (/ 1 x))) (/ 1 y)))
(* -1/3 (* (sqrt (/ 1 x)) y))
(* -1 (* y (- (* 1/3 (sqrt (/ 1 x))) (/ 1 y))))
(* -1 (* y (- (* 1/3 (sqrt (/ 1 x))) (/ 1 y))))
(* -1 (* y (- (* 1/3 (sqrt (/ 1 x))) (/ 1 y))))
(sqrt (/ 1 x))
(sqrt (/ 1 x))
(sqrt (/ 1 x))
(sqrt (/ 1 x))
(sqrt (/ 1 x))
(sqrt (/ 1 x))
(sqrt (/ 1 x))
(sqrt (/ 1 x))
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2))
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2))
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2))
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2))
(* 3 (sqrt x))
(* 3 (sqrt x))
(* 3 (sqrt x))
(* 3 (sqrt x))
(* 3 (sqrt x))
(* 3 (sqrt x))
(* 3 (sqrt x))
(* 3 (sqrt x))
(* -3 (* (sqrt x) (pow (sqrt -1) 2)))
(* -3 (* (sqrt x) (pow (sqrt -1) 2)))
(* -3 (* (sqrt x) (pow (sqrt -1) 2)))
(* -3 (* (sqrt x) (pow (sqrt -1) 2)))
(* 1/3 (* (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))
(* 1/3 (* (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))
(* 1/3 (* (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))
(* 1/3 (* (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))
(* 1/3 (* (sqrt (/ 1 x)) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(* -1/3 y)
(* -1/3 y)
(* -1/3 y)
(* -1/3 y)
(* -1/3 y)
(* -1/3 y)
(* -1/3 y)
(* -1/3 y)
(* -1/3 y)
(* -1/3 y)
(* -1/3 y)
(* -1/3 y)
Outputs
(/ 1/9 x)
(/.f64 #s(literal 1/9 binary64) x)
(/ 1/9 x)
(/.f64 #s(literal 1/9 binary64) x)
(/ 1/9 x)
(/.f64 #s(literal 1/9 binary64) x)
(/ 1/9 x)
(/.f64 #s(literal 1/9 binary64) x)
(/ 1/9 x)
(/.f64 #s(literal 1/9 binary64) x)
(/ 1/9 x)
(/.f64 #s(literal 1/9 binary64) x)
(/ 1/9 x)
(/.f64 #s(literal 1/9 binary64) x)
(/ 1/9 x)
(/.f64 #s(literal 1/9 binary64) x)
(/ 1/9 x)
(/.f64 #s(literal 1/9 binary64) x)
(/ 1/9 x)
(/.f64 #s(literal 1/9 binary64) x)
(/ 1/9 x)
(/.f64 #s(literal 1/9 binary64) x)
(/ 1/9 x)
(/.f64 #s(literal 1/9 binary64) x)
(* 9 x)
(*.f64 x #s(literal 9 binary64))
(* 9 x)
(*.f64 x #s(literal 9 binary64))
(* 9 x)
(*.f64 x #s(literal 9 binary64))
(* 9 x)
(*.f64 x #s(literal 9 binary64))
(* 9 x)
(*.f64 x #s(literal 9 binary64))
(* 9 x)
(*.f64 x #s(literal 9 binary64))
(* 9 x)
(*.f64 x #s(literal 9 binary64))
(* 9 x)
(*.f64 x #s(literal 9 binary64))
(* 9 x)
(*.f64 x #s(literal 9 binary64))
(* 9 x)
(*.f64 x #s(literal 9 binary64))
(* 9 x)
(*.f64 x #s(literal 9 binary64))
(* 9 x)
(*.f64 x #s(literal 9 binary64))
(* -1 (/ (+ 1/9 (* 1/3 (* (sqrt x) y))) x))
(/.f64 (fma.f64 (sqrt.f64 x) (*.f64 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 (sqrt.f64 x) (*.f64 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 (sqrt.f64 x) (*.f64 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 (sqrt.f64 x) (*.f64 y #s(literal -1/3 binary64)) #s(literal -1/9 binary64))) x)
(- 1 (* 1/3 (* (sqrt (/ 1 x)) y)))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)) #s(literal 1 binary64))
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))
(+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal -1/9 binary64) x))
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))
(+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal -1/9 binary64) x))
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))
(+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal -1/9 binary64) x))
(- 1 (* 1/3 (* (sqrt (/ 1 x)) y)))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)) #s(literal 1 binary64))
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))
(+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal -1/9 binary64) x))
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))
(+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal -1/9 binary64) x))
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))
(+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)) #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)))
(+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal -1/9 binary64) x))
(- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))
(+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal -1/9 binary64) x))
(- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))
(+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal -1/9 binary64) x))
(* -1/3 (* (sqrt (/ 1 x)) y))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)))
(* y (- (/ 1 y) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/9 (* x y)))))
(+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal -1/9 binary64) x))
(* y (- (/ 1 y) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/9 (* x y)))))
(+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal -1/9 binary64) x))
(* y (- (/ 1 y) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/9 (* x y)))))
(+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal -1/9 binary64) x))
(* -1/3 (* (sqrt (/ 1 x)) y))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)))
(* -1 (* y (- (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* -1/3 (sqrt (/ 1 x))))))
(+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)) #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))))))
(+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)) #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))))))
(+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)) #s(literal 1 binary64)) (/.f64 #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))
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))
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))
(* -1 (/ (+ 1/9 (* 1/3 (* (sqrt x) y))) x))
(/.f64 (fma.f64 (sqrt.f64 x) (*.f64 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 (sqrt.f64 x) (*.f64 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 (sqrt.f64 x) (*.f64 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 (sqrt.f64 x) (*.f64 y #s(literal -1/3 binary64)) #s(literal -1/9 binary64))) x)
(- 1 (* 1/3 (* (sqrt (/ 1 x)) y)))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)) #s(literal 1 binary64))
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))
(+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal -1/9 binary64) x))
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))
(+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal -1/9 binary64) x))
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))
(+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal -1/9 binary64) x))
(- 1 (* 1/3 (* (sqrt (/ 1 x)) y)))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)) #s(literal 1 binary64))
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))
(+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal -1/9 binary64) x))
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))
(+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal -1/9 binary64) x))
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))
(+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)) #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)))
(+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal -1/9 binary64) x))
(- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))
(+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal -1/9 binary64) x))
(- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))
(+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal -1/9 binary64) x))
(* -1/3 (* (sqrt (/ 1 x)) y))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)))
(* y (- (/ 1 y) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/9 (* x y)))))
(+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal -1/9 binary64) x))
(* y (- (/ 1 y) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/9 (* x y)))))
(+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal -1/9 binary64) x))
(* y (- (/ 1 y) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/9 (* x y)))))
(+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal -1/9 binary64) x))
(* -1/3 (* (sqrt (/ 1 x)) y))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)))
(* -1 (* y (- (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* -1/3 (sqrt (/ 1 x))))))
(+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)) #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))))))
(+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)) #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))))))
(+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)) #s(literal 1 binary64)) (/.f64 #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))
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))
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))
(* -1 (/ (+ 1/9 (* 1/3 (* (sqrt x) y))) x))
(/.f64 (fma.f64 (sqrt.f64 x) (*.f64 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 (sqrt.f64 x) (*.f64 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 (sqrt.f64 x) (*.f64 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 (sqrt.f64 x) (*.f64 y #s(literal -1/3 binary64)) #s(literal -1/9 binary64))) x)
(- 1 (* 1/3 (* (sqrt (/ 1 x)) y)))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)) #s(literal 1 binary64))
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))
(+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal -1/9 binary64) x))
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))
(+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal -1/9 binary64) x))
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))
(+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal -1/9 binary64) x))
(- 1 (* 1/3 (* (sqrt (/ 1 x)) y)))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)) #s(literal 1 binary64))
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))
(+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal -1/9 binary64) x))
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))
(+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal -1/9 binary64) x))
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))
(+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)) #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)))
(+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal -1/9 binary64) x))
(- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))
(+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal -1/9 binary64) x))
(- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))
(+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal -1/9 binary64) x))
(* -1/3 (* (sqrt (/ 1 x)) y))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)))
(* y (- (/ 1 y) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/9 (* x y)))))
(+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal -1/9 binary64) x))
(* y (- (/ 1 y) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/9 (* x y)))))
(+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal -1/9 binary64) x))
(* y (- (/ 1 y) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/9 (* x y)))))
(+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal -1/9 binary64) x))
(* -1/3 (* (sqrt (/ 1 x)) y))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)))
(* -1 (* y (- (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* -1/3 (sqrt (/ 1 x))))))
(+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)) #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))))))
(+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)) #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))))))
(+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)) #s(literal 1 binary64)) (/.f64 #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 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)
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(*.f64 (sqrt.f64 x) (*.f64 y #s(literal -1/3 binary64)))
(* -1/3 (* (sqrt x) y))
(*.f64 (sqrt.f64 x) (*.f64 y #s(literal -1/3 binary64)))
(* -1 (/ (+ 1/9 (* 1/3 (* (sqrt x) y))) x))
(/.f64 (fma.f64 (sqrt.f64 x) (*.f64 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 (sqrt.f64 x) (*.f64 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 (sqrt.f64 x) (*.f64 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 (sqrt.f64 x) (*.f64 y #s(literal -1/3 binary64)) #s(literal -1/9 binary64))) x)
(- 1 (* 1/3 (* (sqrt (/ 1 x)) y)))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)) #s(literal 1 binary64))
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))
(+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal -1/9 binary64) x))
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))
(+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal -1/9 binary64) x))
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))
(+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal -1/9 binary64) x))
(- 1 (* 1/3 (* (sqrt (/ 1 x)) y)))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)) #s(literal 1 binary64))
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))
(+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal -1/9 binary64) x))
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))
(+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal -1/9 binary64) x))
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))
(+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)) #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)))
(+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal -1/9 binary64) x))
(- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))
(+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal -1/9 binary64) x))
(- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))
(+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal -1/9 binary64) x))
(* -1/3 (* (sqrt (/ 1 x)) y))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)))
(* y (- (/ 1 y) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/9 (* x y)))))
(+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal -1/9 binary64) x))
(* y (- (/ 1 y) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/9 (* x y)))))
(+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal -1/9 binary64) x))
(* y (- (/ 1 y) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/9 (* x y)))))
(+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal -1/9 binary64) x))
(* -1/3 (* (sqrt (/ 1 x)) y))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)))
(* -1 (* y (- (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* -1/3 (sqrt (/ 1 x))))))
(+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)) #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))))))
(+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)) #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))))))
(+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal -1/9 binary64) x))
(* -1/3 (* (sqrt (/ 1 x)) y))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)))
(/ (+ x (* -1/3 (* (sqrt x) y))) x)
(fma.f64 (*.f64 (sqrt.f64 x) #s(literal -1/3 binary64)) (/.f64 y x) #s(literal 1 binary64))
(/ (+ x (* -1/3 (* (sqrt x) y))) x)
(fma.f64 (*.f64 (sqrt.f64 x) #s(literal -1/3 binary64)) (/.f64 y x) #s(literal 1 binary64))
(/ (+ x (* -1/3 (* (sqrt x) y))) x)
(fma.f64 (*.f64 (sqrt.f64 x) #s(literal -1/3 binary64)) (/.f64 y x) #s(literal 1 binary64))
(+ 1 (* -1/3 (* (sqrt (/ 1 x)) y)))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)) #s(literal 1 binary64))
(+ 1 (* -1/3 (* (sqrt (/ 1 x)) y)))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)) #s(literal 1 binary64))
(+ 1 (* -1/3 (* (sqrt (/ 1 x)) y)))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)) #s(literal 1 binary64))
(+ 1 (* -1/3 (* (sqrt (/ 1 x)) y)))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)) #s(literal 1 binary64))
(+ 1 (* -1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/3 binary64) y) #s(literal 1 binary64))
(+ 1 (* -1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/3 binary64) y) #s(literal 1 binary64))
(+ 1 (* -1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/3 binary64) y) #s(literal 1 binary64))
(+ 1 (* -1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/3 binary64) y) #s(literal 1 binary64))
1
#s(literal 1 binary64)
(+ 1 (* -1/3 (* (sqrt (/ 1 x)) y)))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)) #s(literal 1 binary64))
(+ 1 (* -1/3 (* (sqrt (/ 1 x)) y)))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)) #s(literal 1 binary64))
(+ 1 (* -1/3 (* (sqrt (/ 1 x)) y)))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)) #s(literal 1 binary64))
(* -1/3 (* (sqrt (/ 1 x)) y))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)))
(* y (+ (* -1/3 (sqrt (/ 1 x))) (/ 1 y)))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)) #s(literal 1 binary64))
(* y (+ (* -1/3 (sqrt (/ 1 x))) (/ 1 y)))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)) #s(literal 1 binary64))
(* y (+ (* -1/3 (sqrt (/ 1 x))) (/ 1 y)))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)) #s(literal 1 binary64))
(* -1/3 (* (sqrt (/ 1 x)) y))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)))
(* -1 (* y (- (* 1/3 (sqrt (/ 1 x))) (/ 1 y))))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)) #s(literal 1 binary64))
(* -1 (* y (- (* 1/3 (sqrt (/ 1 x))) (/ 1 y))))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)) #s(literal 1 binary64))
(* -1 (* y (- (* 1/3 (sqrt (/ 1 x))) (/ 1 y))))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)) #s(literal 1 binary64))
(sqrt (/ 1 x))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(sqrt (/ 1 x))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(sqrt (/ 1 x))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(sqrt (/ 1 x))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(sqrt (/ 1 x))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(sqrt (/ 1 x))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(sqrt (/ 1 x))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(sqrt (/ 1 x))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2))
(neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2))
(neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2))
(neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2))
(neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(* 3 (sqrt x))
(*.f64 (sqrt.f64 x) #s(literal 3 binary64))
(* 3 (sqrt x))
(*.f64 (sqrt.f64 x) #s(literal 3 binary64))
(* 3 (sqrt x))
(*.f64 (sqrt.f64 x) #s(literal 3 binary64))
(* 3 (sqrt x))
(*.f64 (sqrt.f64 x) #s(literal 3 binary64))
(* 3 (sqrt x))
(*.f64 (sqrt.f64 x) #s(literal 3 binary64))
(* 3 (sqrt x))
(*.f64 (sqrt.f64 x) #s(literal 3 binary64))
(* 3 (sqrt x))
(*.f64 (sqrt.f64 x) #s(literal 3 binary64))
(* 3 (sqrt x))
(*.f64 (sqrt.f64 x) #s(literal 3 binary64))
(* -3 (* (sqrt x) (pow (sqrt -1) 2)))
(*.f64 (sqrt.f64 x) #s(literal 3 binary64))
(* -3 (* (sqrt x) (pow (sqrt -1) 2)))
(*.f64 (sqrt.f64 x) #s(literal 3 binary64))
(* -3 (* (sqrt x) (pow (sqrt -1) 2)))
(*.f64 (sqrt.f64 x) #s(literal 3 binary64))
(* -3 (* (sqrt x) (pow (sqrt -1) 2)))
(*.f64 (sqrt.f64 x) #s(literal 3 binary64))
(* 1/3 (* (sqrt (/ 1 x)) y))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/3 binary64) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/3 binary64) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/3 binary64) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/3 binary64) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/3 binary64) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/3 binary64) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/3 binary64) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/3 binary64) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/3 binary64) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/3 binary64) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/3 binary64) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/3 binary64) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/3 binary64) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/3 binary64) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/3 binary64) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/3 binary64) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/3 binary64) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/3 binary64) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/3 binary64) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/3 binary64) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/3 binary64) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/3 binary64) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/3 binary64) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/3 binary64) y))
(* -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))
(* -1/3 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))
(* -1/3 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))

rewrite489.0ms (4.9%)

Memory
27.8MiB live, 581.6MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
10 302×lower-fma.f32
10 298×lower-fma.f64
4 886×lower-/.f32
4 878×lower-/.f64
3 136×lower-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
044214
063204
1284190
22118190
08408179
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
19 → 469
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x #s(literal 3 binary64)) #s(literal 3 binary64)))
(*.f64 (*.f64 x #s(literal 3 binary64)) #s(literal 3 binary64))
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x #s(literal 3 binary64)) #s(literal 3 binary64)))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x #s(literal 3 binary64)) #s(literal 3 binary64))))
#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))
(fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/9 binary64) #s(approx (- 1 (/ y (* 3 (sqrt x)))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) x)
#s(approx (- 1 (/ y (* 3 (sqrt x)))) #s(literal 1 binary64))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 #s(approx (+ (* (sqrt x) (* y -1/3)) -1/9) (*.f64 (sqrt.f64 x) (*.f64 y #s(literal -1/3 binary64)))) x))
(/.f64 #s(approx (+ (* (sqrt x) (* y -1/3)) -1/9) (*.f64 (sqrt.f64 x) (*.f64 y #s(literal -1/3 binary64)))) x)
#s(approx (+ (* (sqrt x) (* y -1/3)) -1/9) (*.f64 (sqrt.f64 x) (*.f64 y #s(literal -1/3 binary64))))
(*.f64 (sqrt.f64 x) (*.f64 y #s(literal -1/3 binary64)))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ (/ y (sqrt x)) 3)) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)) #s(literal 1 binary64)))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)) #s(literal 1 binary64))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(*.f64 #s(literal 3 binary64) (sqrt.f64 x))
(/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))
(*.f64 y #s(literal -1/3 binary64))
Outputs
(exp.f64 (neg.f64 (log.f64 (*.f64 x #s(literal 9 binary64)))))
(neg.f64 (/.f64 #s(literal -1/9 binary64) x))
(/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 x #s(literal -9 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 x #s(literal 1/9 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x #s(literal 3 binary64)) #s(literal 1/3 binary64)))
(/.f64 #s(literal -1/9 binary64) (neg.f64 x))
(/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 9 binary64))
(/.f64 #s(literal -1/3 binary64) (neg.f64 (*.f64 x #s(literal 3 binary64))))
(/.f64 #s(literal -1 binary64) (*.f64 x #s(literal -9 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (neg.f64 (*.f64 x #s(literal -9 binary64)))))
(/.f64 #s(literal 1/9 binary64) x)
(/.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal 3 binary64)))
(/.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 3 binary64))
(/.f64 (neg.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -9 binary64))
(/.f64 (neg.f64 (/.f64 #s(literal 1/3 binary64) x)) #s(literal -3 binary64))
(/.f64 (neg.f64 (neg.f64 (/.f64 #s(literal 1 binary64) x))) #s(literal 9 binary64))
(/.f64 (neg.f64 (neg.f64 (/.f64 #s(literal 1/3 binary64) x))) #s(literal 3 binary64))
(pow.f64 (*.f64 x #s(literal 9 binary64)) #s(literal -1 binary64))
(pow.f64 (*.f64 (*.f64 x #s(literal 9 binary64)) (*.f64 x #s(literal 9 binary64))) #s(literal -1/2 binary64))
(pow.f64 (neg.f64 (*.f64 x #s(literal -9 binary64))) #s(literal -1 binary64))
(pow.f64 (pow.f64 (*.f64 x #s(literal 9 binary64)) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x))
(*.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/9 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/9 binary64) x))
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eval199.0ms (2%)

Memory
-18.4MiB live, 264.3MiB allocated
Compiler

Compiled 15 868 to 1 293 computations (91.9% saved)

prune122.0ms (1.2%)

Memory
-17.9MiB live, 224.1MiB allocated
Pruning

23 alts after pruning (20 fresh and 3 done)

PrunedKeptTotal
New86311874
Fresh6915
Picked325
Done011
Total87223895
Accuracy
100.0%
Counts
895 → 23
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓59.6%
(fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/9 binary64) #s(approx (- 1 (/ y (* 3 (sqrt x)))) #s(literal 1 binary64)))
59.5%
(fma.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -1/3 binary64) #s(approx (- 1 (/ y (* 3 (sqrt x)))) #s(literal 1 binary64)))
▶99.6%
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal 3 binary64)))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
69.8%
(-.f64 #s(approx (- 1 (/ 1 (* (* x 3) 3))) #s(literal 1 binary64)) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
69.8%
(-.f64 #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) (/.f64 (/.f64 y (sqrt.f64 x)) #s(literal 3 binary64)))
65.7%
#s(approx (- (- 1 (/ 1 (* (* x 3) 3))) (/ y (* 3 (sqrt x)))) (/.f64 (fma.f64 (sqrt.f64 x) (*.f64 y #s(literal -1/3 binary64)) #s(literal -1/9 binary64)) x))
▶42.0%
#s(approx (- (- 1 (/ 1 (* (* x 3) 3))) (/ y (* 3 (sqrt x)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64))))
69.7%
#s(approx (- (- 1 (/ 1 (* x 9))) (/ (/ y (sqrt x)) 3)) (fma.f64 (/.f64 y (sqrt.f64 x)) #s(literal -1/3 binary64) #s(literal 1 binary64)))
▶69.8%
#s(approx (- (- 1 (/ 1 (* x 9))) (/ (/ y (sqrt x)) 3)) (fma.f64 (neg.f64 y) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) #s(literal 1 binary64)))
69.7%
#s(approx (- (- 1 (/ 1 (* x 9))) (/ (/ y (sqrt x)) 3)) (+.f64 (/.f64 (*.f64 y #s(literal -1/3 binary64)) (sqrt.f64 x)) #s(literal 1 binary64)))
65.1%
#s(approx (- (- 1 (/ 1 (* x 9))) (/ (/ y (sqrt x)) 3)) #s(approx (+ (* (sqrt (/ 1 x)) (* y -1/3)) 1) (fma.f64 (*.f64 (sqrt.f64 x) #s(literal -1/3 binary64)) (/.f64 y x) #s(literal 1 binary64))))
30.2%
#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)))
46.6%
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 (fma.f64 x (*.f64 (*.f64 y #s(literal -1/3 binary64)) (*.f64 y #s(literal -1/3 binary64))) #s(literal -1/81 binary64)) (*.f64 x (fma.f64 y (*.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) #s(literal 1/9 binary64)))))
47.0%
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 (-.f64 (/.f64 #s(literal 1/81 binary64) (*.f64 x x)) #s(literal 1 binary64)) (-.f64 (/.f64 #s(literal -1/9 binary64) x) #s(literal 1 binary64))))
47.0%
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 (*.f64 (fma.f64 x (*.f64 (*.f64 y #s(literal -1/3 binary64)) (*.f64 y #s(literal -1/3 binary64))) #s(literal -1/81 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) #s(literal 1/9 binary64)))) x))
37.3%
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 #s(approx (+ (* (sqrt x) (* y -1/3)) -1/9) (*.f64 (*.f64 (sqrt.f64 x) #s(literal -1/3 binary64)) y)) x))
37.3%
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 #s(approx (+ (* (sqrt x) (* y -1/3)) -1/9) (*.f64 (*.f64 y (sqrt.f64 x)) #s(literal -1/3 binary64))) x))
▶30.6%
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 #s(approx (+ (* (sqrt x) (* y -1/3)) -1/9) #s(literal -1/9 binary64)) x))
30.2%
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)))
59.7%
#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))))
▶59.7%
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal -9 binary64)))))
✓59.6%
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)))
✓30.0%
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) #s(approx (+ 1 (/ -1/9 x)) #s(literal 1 binary64)))
Compiler

Compiled 516 to 345 computations (33.1% saved)

simplify120.0ms (1.2%)

Memory
17.7MiB live, 132.9MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(/.f64 #s(literal 1 binary64) x)
✓cost-diff0
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
✓cost-diff0
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)))
✓cost-diff0
#s(approx (- (- 1 (/ 1 (* (* x 3) 3))) (/ y (* 3 (sqrt x)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64))))
✓cost-diff0
(/.f64 #s(literal 1/3 binary64) (sqrt.f64 x))
✓cost-diff0
(neg.f64 y)
✓cost-diff0
#s(approx (- (- 1 (/ 1 (* x 9))) (/ (/ y (sqrt x)) 3)) (fma.f64 (neg.f64 y) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) #s(literal 1 binary64)))
✓cost-diff128
(fma.f64 (neg.f64 y) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) #s(literal 1 binary64))
✓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-diff0
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal -9 binary64)))))
✓cost-diff320
(/.f64 #s(literal 1 binary64) (*.f64 x #s(literal -9 binary64)))
✓cost-diff0
#s(approx (+ (* (sqrt x) (* y -1/3)) -1/9) #s(literal -1/9 binary64))
✓cost-diff0
(/.f64 #s(approx (+ (* (sqrt x) (* y -1/3)) -1/9) #s(literal -1/9 binary64)) x)
✓cost-diff0
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 #s(approx (+ (* (sqrt x) (* y -1/3)) -1/9) #s(literal -1/9 binary64)) x))
✓cost-diff0
(*.f64 x #s(literal 3 binary64))
✓cost-diff0
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal 3 binary64))))
✓cost-diff128
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal 3 binary64)))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
✓cost-diff320
(/.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal 3 binary64)))
Rules
1 392×lower-fma.f32
1 390×lower-fma.f64
864×lower-*.f32
854×lower-*.f64
344×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
050227
071225
1127205
2227205
3357205
4568205
51067205
61963205
72370205
82760205
92815205
102853205
112882205
122914205
132942205
142951205
02951195
Stop Event
1×iter limit
1×saturated
1×iter limit
Calls
Call 1
Inputs
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal 3 binary64)))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal 3 binary64))))
#s(literal 1 binary64)
(/.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal 3 binary64)))
#s(literal 1/3 binary64)
(*.f64 x #s(literal 3 binary64))
x
#s(literal 3 binary64)
(/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))
y
(*.f64 #s(literal 3 binary64) (sqrt.f64 x))
(sqrt.f64 x)
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 #s(approx (+ (* (sqrt x) (* y -1/3)) -1/9) #s(literal -1/9 binary64)) x))
(/.f64 #s(approx (+ (* (sqrt x) (* y -1/3)) -1/9) #s(literal -1/9 binary64)) x)
#s(approx (+ (* (sqrt x) (* y -1/3)) -1/9) #s(literal -1/9 binary64))
#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 binary64) (*.f64 x #s(literal -9 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)
#s(approx (- (- 1 (/ 1 (* x 9))) (/ (/ y (sqrt x)) 3)) (fma.f64 (neg.f64 y) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) #s(literal 1 binary64)))
(fma.f64 (neg.f64 y) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) #s(literal 1 binary64))
(neg.f64 y)
y
(/.f64 #s(literal 1/3 binary64) (sqrt.f64 x))
#s(literal 1/3 binary64)
(sqrt.f64 x)
x
#s(literal 1 binary64)
#s(approx (- (- 1 (/ 1 (* (* x 3) 3))) (/ y (* 3 (sqrt x)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 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
(*.f64 y #s(literal -1/3 binary64))
y
#s(literal -1/3 binary64)
Outputs
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal 3 binary64)))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
(+.f64 (/.f64 #s(literal -1/9 binary64) x) (fma.f64 y (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) #s(literal 1 binary64)))
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal 3 binary64))))
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x))
#s(literal 1 binary64)
(/.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal 3 binary64)))
(/.f64 #s(literal 1/9 binary64) x)
#s(literal 1/3 binary64)
(*.f64 x #s(literal 3 binary64))
x
#s(literal 3 binary64)
(/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))
y
(*.f64 #s(literal 3 binary64) (sqrt.f64 x))
(sqrt.f64 x)
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 #s(approx (+ (* (sqrt x) (* y -1/3)) -1/9) #s(literal -1/9 binary64)) x))
#s(approx (- (- 1 (/ 1 (* (* x 3) 3))) (/ y (* 3 (sqrt x)))) (/.f64 #s(approx (+ (* (sqrt x) (* y -1/3)) -1/9) #s(literal -1/9 binary64)) x))
(/.f64 #s(approx (+ (* (sqrt x) (* y -1/3)) -1/9) #s(literal -1/9 binary64)) x)
#s(approx (+ (* (sqrt x) (* y -1/3)) -1/9) #s(literal -1/9 binary64))
#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 binary64) (*.f64 x #s(literal -9 binary64)))))
#s(approx (- (- 1 (/ 1 (* (* x 3) 3))) (/ 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 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))
x
#s(literal -9 binary64)
#s(approx (- (- 1 (/ 1 (* x 9))) (/ (/ y (sqrt x)) 3)) (fma.f64 (neg.f64 y) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) #s(literal 1 binary64)))
#s(approx (- (- 1 (/ 1 (* (* x 3) 3))) (/ y (* 3 (sqrt x)))) (fma.f64 y (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) #s(literal 1 binary64)))
(fma.f64 (neg.f64 y) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) #s(literal 1 binary64))
(fma.f64 y (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) #s(literal 1 binary64))
(neg.f64 y)
y
(/.f64 #s(literal 1/3 binary64) (sqrt.f64 x))
#s(literal 1/3 binary64)
(sqrt.f64 x)
x
#s(literal 1 binary64)
#s(approx (- (- 1 (/ 1 (* (* x 3) 3))) (/ y (* 3 (sqrt x)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 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
(*.f64 y #s(literal -1/3 binary64))
y
#s(literal -1/3 binary64)

localize135.0ms (1.4%)

Memory
-0.3MiB live, 285.7MiB allocated
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
✓accuracy99.8%
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
✓accuracy99.4%
(*.f64 y #s(literal -1/3 binary64))
✓accuracy99.4%
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)))
✓accuracy42.3%
#s(approx (- (- 1 (/ 1 (* (* x 3) 3))) (/ y (* 3 (sqrt x)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64))))
✓accuracy100.0%
(neg.f64 y)
✓accuracy99.8%
(fma.f64 (neg.f64 y) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) #s(literal 1 binary64))
✓accuracy99.4%
(/.f64 #s(literal 1/3 binary64) (sqrt.f64 x))
✓accuracy70.0%
#s(approx (- (- 1 (/ 1 (* x 9))) (/ (/ y (sqrt x)) 3)) (fma.f64 (neg.f64 y) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) #s(literal 1 binary64)))
✓accuracy100.0%
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal -9 binary64))))
✓accuracy100.0%
(*.f64 x #s(literal -9 binary64))
✓accuracy99.6%
(/.f64 #s(literal 1 binary64) (*.f64 x #s(literal -9 binary64)))
✓accuracy59.8%
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal -9 binary64)))))
✓accuracy94.8%
(/.f64 #s(approx (+ (* (sqrt x) (* y -1/3)) -1/9) #s(literal -1/9 binary64)) x)
✓accuracy70.8%
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 #s(approx (+ (* (sqrt x) (* y -1/3)) -1/9) #s(literal -1/9 binary64)) x))
✓accuracy45.3%
#s(approx (+ (* (sqrt x) (* y -1/3)) -1/9) #s(literal -1/9 binary64))
✓accuracy100.0%
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal 3 binary64)))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
✓accuracy99.6%
(/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))
✓accuracy99.5%
(*.f64 #s(literal 3 binary64) (sqrt.f64 x))
✓accuracy99.4%
(/.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal 3 binary64)))
Samples
82.0ms256×0valid
Compiler

Compiled 187 to 43 computations (77% saved)

Precisions
Click to see histograms. Total time spent on operations: 58.0ms
ival-div: 16.0ms (27.4% of total)
ival-mult: 16.0ms (27.4% of total)
const: 9.0ms (15.4% of total)
ival-sub: 7.0ms (12% of total)
ival-sqrt: 5.0ms (8.6% of total)
ival-add: 3.0ms (5.1% of total)
exact: 1.0ms (1.7% of total)
ival-neg: 1.0ms (1.7% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series12.0ms (0.1%)

Memory
-15.1MiB live, 23.1MiB allocated
Counts
22 → 384
Calls
Call 1
Inputs
#<alt (/.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal 3 binary64)))>
#<alt (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal 3 binary64)))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))>
#<alt (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal 3 binary64))))>
#<alt (*.f64 x #s(literal 3 binary64))>
#<alt #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 #s(approx (+ (* (sqrt x) (* y -1/3)) -1/9) #s(literal -1/9 binary64)) x))>
#<alt (/.f64 #s(approx (+ (* (sqrt x) (* y -1/3)) -1/9) #s(literal -1/9 binary64)) x)>
#<alt #s(approx (+ (* (sqrt x) (* y -1/3)) -1/9) #s(literal -1/9 binary64))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal -9 binary64)))>
#<alt #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal -9 binary64)))))>
#<alt (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal -9 binary64))))>
#<alt (*.f64 x #s(literal -9 binary64))>
#<alt (fma.f64 (neg.f64 y) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) #s(literal 1 binary64))>
#<alt #s(approx (- (- 1 (/ 1 (* x 9))) (/ (/ y (sqrt x)) 3)) (fma.f64 (neg.f64 y) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) #s(literal 1 binary64)))>
#<alt (neg.f64 y)>
#<alt (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x))>
#<alt #s(approx (- (- 1 (/ 1 (* (* x 3) 3))) (/ y (* 3 (sqrt x)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64))))>
#<alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)))>
#<alt (sqrt.f64 (/.f64 #s(literal 1 binary64) x))>
#<alt (/.f64 #s(literal 1 binary64) x)>
#<alt (*.f64 #s(literal 3 binary64) (sqrt.f64 x))>
#<alt (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))>
#<alt (*.f64 y #s(literal -1/3 binary64))>
Outputs
#<alt (/ 1/9 x)>
#<alt (/ 1/9 x)>
#<alt (/ 1/9 x)>
#<alt (/ 1/9 x)>
#<alt (/ 1/9 x)>
#<alt (/ 1/9 x)>
#<alt (/ 1/9 x)>
#<alt (/ 1/9 x)>
#<alt (/ 1/9 x)>
#<alt (/ 1/9 x)>
#<alt (/ 1/9 x)>
#<alt (/ 1/9 x)>
#<alt (* -1 (/ (+ 1/9 (* 1/3 (* (sqrt x) y))) x))>
#<alt (/ (- x (+ 1/9 (* 1/3 (* (sqrt x) y)))) x)>
#<alt (/ (- x (+ 1/9 (* 1/3 (* (sqrt x) y)))) x)>
#<alt (/ (- x (+ 1/9 (* 1/3 (* (sqrt x) y)))) x)>
#<alt (- 1 (* 1/3 (* (sqrt (/ 1 x)) y)))>
#<alt (- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))>
#<alt (- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))>
#<alt (- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))>
#<alt (- 1 (* 1/3 (* (sqrt (/ 1 x)) y)))>
#<alt (- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))>
#<alt (- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))>
#<alt (- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))>
#<alt (- 1 (* 1/9 (/ 1 x)))>
#<alt (- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))>
#<alt (- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))>
#<alt (- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))>
#<alt (* -1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* y (- (/ 1 y) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/9 (* x y)))))>
#<alt (* y (- (/ 1 y) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/9 (* x y)))))>
#<alt (* y (- (/ 1 y) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/9 (* x y)))))>
#<alt (* -1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* -1 (* y (- (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* -1/3 (sqrt (/ 1 x))))))>
#<alt (* -1 (* y (- (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* -1/3 (sqrt (/ 1 x))))))>
#<alt (* -1 (* y (- (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* -1/3 (sqrt (/ 1 x))))))>
#<alt (/ -1/9 x)>
#<alt (/ (- x 1/9) x)>
#<alt (/ (- x 1/9) x)>
#<alt (/ (- x 1/9) x)>
#<alt 1>
#<alt (- 1 (* 1/9 (/ 1 x)))>
#<alt (- 1 (* 1/9 (/ 1 x)))>
#<alt (- 1 (* 1/9 (/ 1 x)))>
#<alt 1>
#<alt (- 1 (* 1/9 (/ 1 x)))>
#<alt (- 1 (* 1/9 (/ 1 x)))>
#<alt (- 1 (* 1/9 (/ 1 x)))>
#<alt (* 3 x)>
#<alt (* 3 x)>
#<alt (* 3 x)>
#<alt (* 3 x)>
#<alt (* 3 x)>
#<alt (* 3 x)>
#<alt (* 3 x)>
#<alt (* 3 x)>
#<alt (* 3 x)>
#<alt (* 3 x)>
#<alt (* 3 x)>
#<alt (* 3 x)>
#<alt (* -1 (/ (+ 1/9 (* 1/3 (* (sqrt x) y))) x))>
#<alt (/ (- x (+ 1/9 (* 1/3 (* (sqrt x) y)))) x)>
#<alt (/ (- x (+ 1/9 (* 1/3 (* (sqrt x) y)))) x)>
#<alt (/ (- x (+ 1/9 (* 1/3 (* (sqrt x) y)))) x)>
#<alt (- 1 (* 1/3 (* (sqrt (/ 1 x)) y)))>
#<alt (- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))>
#<alt (- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))>
#<alt (- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))>
#<alt (- 1 (* 1/3 (* (sqrt (/ 1 x)) y)))>
#<alt (- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))>
#<alt (- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))>
#<alt (- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))>
#<alt (- 1 (* 1/9 (/ 1 x)))>
#<alt (- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))>
#<alt (- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))>
#<alt (- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))>
#<alt (* -1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* y (- (/ 1 y) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/9 (* x y)))))>
#<alt (* y (- (/ 1 y) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/9 (* x y)))))>
#<alt (* y (- (/ 1 y) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/9 (* x y)))))>
#<alt (* -1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* -1 (* y (- (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* -1/3 (sqrt (/ 1 x))))))>
#<alt (* -1 (* y (- (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* -1/3 (sqrt (/ 1 x))))))>
#<alt (* -1 (* y (- (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* -1/3 (sqrt (/ 1 x))))))>
#<alt (/ (- (* -1/3 (* (sqrt x) y)) 1/9) x)>
#<alt (/ (- (* -1/3 (* (sqrt x) y)) 1/9) x)>
#<alt (/ (- (* -1/3 (* (sqrt x) y)) 1/9) x)>
#<alt (/ (- (* -1/3 (* (sqrt x) y)) 1/9) x)>
#<alt (* -1/3 (* (sqrt (/ 1 x)) y))>
#<alt (- (* -1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x)))>
#<alt (- (* -1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x)))>
#<alt (- (* -1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x)))>
#<alt (* 1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))>
#<alt (- (* 1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (* 1/9 (/ 1 x)))>
#<alt (- (* 1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (* 1/9 (/ 1 x)))>
#<alt (- (* 1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (* 1/9 (/ 1 x)))>
#<alt (/ -1/9 x)>
#<alt (- (* -1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x)))>
#<alt (- (* -1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x)))>
#<alt (- (* -1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x)))>
#<alt (* -1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* y (- (* -1/3 (sqrt (/ 1 x))) (* 1/9 (/ 1 (* x y)))))>
#<alt (* y (- (* -1/3 (sqrt (/ 1 x))) (* 1/9 (/ 1 (* x y)))))>
#<alt (* y (- (* -1/3 (sqrt (/ 1 x))) (* 1/9 (/ 1 (* x y)))))>
#<alt (* -1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* -1 (* y (+ (* 1/3 (sqrt (/ 1 x))) (* 1/9 (/ 1 (* x y))))))>
#<alt (* -1 (* y (+ (* 1/3 (sqrt (/ 1 x))) (* 1/9 (/ 1 (* x y))))))>
#<alt (* -1 (* y (+ (* 1/3 (sqrt (/ 1 x))) (* 1/9 (/ 1 (* x y))))))>
#<alt (- (* -1/3 (* (sqrt x) y)) 1/9)>
#<alt (- (* -1/3 (* (sqrt x) y)) 1/9)>
#<alt (- (* -1/3 (* (sqrt x) y)) 1/9)>
#<alt (- (* -1/3 (* (sqrt x) y)) 1/9)>
#<alt (* -1/3 (* (sqrt x) y))>
#<alt (* x (- (* -1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))>
#<alt (* x (- (* -1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))>
#<alt (* x (- (* -1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))>
#<alt (* 1/3 (* (sqrt x) (* y (pow (sqrt -1) 2))))>
#<alt (* -1 (* x (+ (* -1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (* 1/9 (/ 1 x)))))>
#<alt (* -1 (* x (+ (* -1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (* 1/9 (/ 1 x)))))>
#<alt (* -1 (* x (+ (* -1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (* 1/9 (/ 1 x)))))>
#<alt -1/9>
#<alt (- (* -1/3 (* (sqrt x) y)) 1/9)>
#<alt (- (* -1/3 (* (sqrt x) y)) 1/9)>
#<alt (- (* -1/3 (* (sqrt x) y)) 1/9)>
#<alt (* -1/3 (* (sqrt x) y))>
#<alt (* y (- (* -1/3 (sqrt x)) (* 1/9 (/ 1 y))))>
#<alt (* y (- (* -1/3 (sqrt x)) (* 1/9 (/ 1 y))))>
#<alt (* y (- (* -1/3 (sqrt x)) (* 1/9 (/ 1 y))))>
#<alt (* -1/3 (* (sqrt x) y))>
#<alt (* -1 (* y (+ (* 1/3 (sqrt x)) (* 1/9 (/ 1 y)))))>
#<alt (* -1 (* y (+ (* 1/3 (sqrt x)) (* 1/9 (/ 1 y)))))>
#<alt (* -1 (* y (+ (* 1/3 (sqrt x)) (* 1/9 (/ 1 y)))))>
#<alt (/ -1/9 x)>
#<alt (/ -1/9 x)>
#<alt (/ -1/9 x)>
#<alt (/ -1/9 x)>
#<alt (/ -1/9 x)>
#<alt (/ -1/9 x)>
#<alt (/ -1/9 x)>
#<alt (/ -1/9 x)>
#<alt (/ -1/9 x)>
#<alt (/ -1/9 x)>
#<alt (/ -1/9 x)>
#<alt (/ -1/9 x)>
#<alt (* -1 (/ (+ 1/9 (* 1/3 (* (sqrt x) y))) x))>
#<alt (/ (- x (+ 1/9 (* 1/3 (* (sqrt x) y)))) x)>
#<alt (/ (- x (+ 1/9 (* 1/3 (* (sqrt x) y)))) x)>
#<alt (/ (- x (+ 1/9 (* 1/3 (* (sqrt x) y)))) x)>
#<alt (- 1 (* 1/3 (* (sqrt (/ 1 x)) y)))>
#<alt (- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))>
#<alt (- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))>
#<alt (- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))>
#<alt (- 1 (* 1/3 (* (sqrt (/ 1 x)) y)))>
#<alt (- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))>
#<alt (- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))>
#<alt (- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))>
#<alt (- 1 (* 1/9 (/ 1 x)))>
#<alt (- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))>
#<alt (- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))>
#<alt (- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))>
#<alt (* -1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* y (- (/ 1 y) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/9 (* x y)))))>
#<alt (* y (- (/ 1 y) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/9 (* x y)))))>
#<alt (* y (- (/ 1 y) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/9 (* x y)))))>
#<alt (* -1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* -1 (* y (- (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* -1/3 (sqrt (/ 1 x))))))>
#<alt (* -1 (* y (- (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* -1/3 (sqrt (/ 1 x))))))>
#<alt (* -1 (* y (- (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* -1/3 (sqrt (/ 1 x))))))>
#<alt (/ -1/9 x)>
#<alt (/ (- x 1/9) x)>
#<alt (/ (- x 1/9) x)>
#<alt (/ (- x 1/9) x)>
#<alt 1>
#<alt (- 1 (* 1/9 (/ 1 x)))>
#<alt (- 1 (* 1/9 (/ 1 x)))>
#<alt (- 1 (* 1/9 (/ 1 x)))>
#<alt 1>
#<alt (- 1 (* 1/9 (/ 1 x)))>
#<alt (- 1 (* 1/9 (/ 1 x)))>
#<alt (- 1 (* 1/9 (/ 1 x)))>
#<alt (* -9 x)>
#<alt (* -9 x)>
#<alt (* -9 x)>
#<alt (* -9 x)>
#<alt (* -9 x)>
#<alt (* -9 x)>
#<alt (* -9 x)>
#<alt (* -9 x)>
#<alt (* -9 x)>
#<alt (* -9 x)>
#<alt (* -9 x)>
#<alt (* -9 x)>
#<alt 1>
#<alt (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y)))>
#<alt (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y)))>
#<alt (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y)))>
#<alt (* -1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* y (+ (* -1/3 (sqrt (/ 1 x))) (/ 1 y)))>
#<alt (* y (+ (* -1/3 (sqrt (/ 1 x))) (/ 1 y)))>
#<alt (* y (+ (* -1/3 (sqrt (/ 1 x))) (/ 1 y)))>
#<alt (* -1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* -1 (* y (- (* 1/3 (sqrt (/ 1 x))) (/ 1 y))))>
#<alt (* -1 (* y (- (* 1/3 (sqrt (/ 1 x))) (/ 1 y))))>
#<alt (* -1 (* y (- (* 1/3 (sqrt (/ 1 x))) (/ 1 y))))>
#<alt (* -1/3 (* (sqrt (/ 1 x)) y))>
#<alt (/ (+ x (* -1/3 (* (sqrt x) y))) x)>
#<alt (/ (+ x (* -1/3 (* (sqrt x) y))) x)>
#<alt (/ (+ x (* -1/3 (* (sqrt x) y))) x)>
#<alt (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y)))>
#<alt (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y)))>
#<alt (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y)))>
#<alt (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y)))>
#<alt (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y)))>
#<alt (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y)))>
#<alt (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y)))>
#<alt (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y)))>
#<alt (* -1 (/ (+ 1/9 (* 1/3 (* (sqrt x) y))) x))>
#<alt (/ (- x (+ 1/9 (* 1/3 (* (sqrt x) y)))) x)>
#<alt (/ (- x (+ 1/9 (* 1/3 (* (sqrt x) y)))) x)>
#<alt (/ (- x (+ 1/9 (* 1/3 (* (sqrt x) y)))) x)>
#<alt (- 1 (* 1/3 (* (sqrt (/ 1 x)) y)))>
#<alt (- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))>
#<alt (- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))>
#<alt (- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))>
#<alt (- 1 (* 1/3 (* (sqrt (/ 1 x)) y)))>
#<alt (- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))>
#<alt (- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))>
#<alt (- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))>
#<alt (- 1 (* 1/9 (/ 1 x)))>
#<alt (- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))>
#<alt (- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))>
#<alt (- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))>
#<alt (* -1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* y (- (/ 1 y) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/9 (* x y)))))>
#<alt (* y (- (/ 1 y) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/9 (* x y)))))>
#<alt (* y (- (/ 1 y) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/9 (* x y)))))>
#<alt (* -1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* -1 (* y (- (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* -1/3 (sqrt (/ 1 x))))))>
#<alt (* -1 (* y (- (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* -1/3 (sqrt (/ 1 x))))))>
#<alt (* -1 (* y (- (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* -1/3 (sqrt (/ 1 x))))))>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* 1/3 (sqrt (/ 1 x)))>
#<alt (* 1/3 (sqrt (/ 1 x)))>
#<alt (* 1/3 (sqrt (/ 1 x)))>
#<alt (* 1/3 (sqrt (/ 1 x)))>
#<alt (* 1/3 (sqrt (/ 1 x)))>
#<alt (* 1/3 (sqrt (/ 1 x)))>
#<alt (* 1/3 (sqrt (/ 1 x)))>
#<alt (* 1/3 (sqrt (/ 1 x)))>
#<alt (* 1/3 (sqrt (/ 1 x)))>
#<alt (* 1/3 (sqrt (/ 1 x)))>
#<alt (* 1/3 (sqrt (/ 1 x)))>
#<alt (* 1/3 (sqrt (/ 1 x)))>
#<alt (* -1 (/ (+ 1/9 (* 1/3 (* (sqrt x) y))) x))>
#<alt (/ (- x (+ 1/9 (* 1/3 (* (sqrt x) y)))) x)>
#<alt (/ (- x (+ 1/9 (* 1/3 (* (sqrt x) y)))) x)>
#<alt (/ (- x (+ 1/9 (* 1/3 (* (sqrt x) y)))) x)>
#<alt (- 1 (* 1/3 (* (sqrt (/ 1 x)) y)))>
#<alt (- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))>
#<alt (- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))>
#<alt (- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))>
#<alt (- 1 (* 1/3 (* (sqrt (/ 1 x)) y)))>
#<alt (- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))>
#<alt (- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))>
#<alt (- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))>
#<alt (- 1 (* 1/9 (/ 1 x)))>
#<alt (- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))>
#<alt (- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))>
#<alt (- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))>
#<alt (* -1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* y (- (/ 1 y) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/9 (* x y)))))>
#<alt (* y (- (/ 1 y) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/9 (* x y)))))>
#<alt (* y (- (/ 1 y) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/9 (* x y)))))>
#<alt (* -1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* -1 (* y (- (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* -1/3 (sqrt (/ 1 x))))))>
#<alt (* -1 (* y (- (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* -1/3 (sqrt (/ 1 x))))))>
#<alt (* -1 (* y (- (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* -1/3 (sqrt (/ 1 x))))))>
#<alt (* -1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* -1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* -1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* -1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* -1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* -1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* -1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* -1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* -1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))>
#<alt (* -1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))>
#<alt (* -1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))>
#<alt (* -1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))>
#<alt (* -1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* -1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* -1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* -1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* -1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* -1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* -1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* -1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* -1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* -1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* -1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* -1/3 (* (sqrt (/ 1 x)) y))>
#<alt (sqrt (/ 1 x))>
#<alt (sqrt (/ 1 x))>
#<alt (sqrt (/ 1 x))>
#<alt (sqrt (/ 1 x))>
#<alt (sqrt (/ 1 x))>
#<alt (sqrt (/ 1 x))>
#<alt (sqrt (/ 1 x))>
#<alt (sqrt (/ 1 x))>
#<alt (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))>
#<alt (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))>
#<alt (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))>
#<alt (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (* 3 (sqrt x))>
#<alt (* 3 (sqrt x))>
#<alt (* 3 (sqrt x))>
#<alt (* 3 (sqrt x))>
#<alt (* 3 (sqrt x))>
#<alt (* 3 (sqrt x))>
#<alt (* 3 (sqrt x))>
#<alt (* 3 (sqrt x))>
#<alt (* -3 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* -3 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* -3 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* -3 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* -1/3 y)>
#<alt (* -1/3 y)>
#<alt (* -1/3 y)>
#<alt (* -1/3 y)>
#<alt (* -1/3 y)>
#<alt (* -1/3 y)>
#<alt (* -1/3 y)>
#<alt (* -1/3 y)>
#<alt (* -1/3 y)>
#<alt (* -1/3 y)>
#<alt (* -1/3 y)>
#<alt (* -1/3 y)>
Calls

96 calls:

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

simplify254.0ms (2.5%)

Memory
0.4MiB live, 477.1MiB allocated
Algorithm
1×egg-herbie
Rules
6 422×lower-fma.f64
6 422×lower-fma.f32
3 288×lower-*.f64
3 288×lower-*.f32
2 780×lower--.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0963239
12613078
27503062
319853062
447693062
567603062
081302899
Stop Event
1×iter limit
1×node limit
Counts
384 → 384
Calls
Call 1
Inputs
(/ 1/9 x)
(/ 1/9 x)
(/ 1/9 x)
(/ 1/9 x)
(/ 1/9 x)
(/ 1/9 x)
(/ 1/9 x)
(/ 1/9 x)
(/ 1/9 x)
(/ 1/9 x)
(/ 1/9 x)
(/ 1/9 x)
(* -1 (/ (+ 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 (* 1/3 (* (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))))
(- 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))
(* 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 (* 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))))))
(/ -1/9 x)
(/ (- x 1/9) x)
(/ (- x 1/9) x)
(/ (- x 1/9) x)
1
(- 1 (* 1/9 (/ 1 x)))
(- 1 (* 1/9 (/ 1 x)))
(- 1 (* 1/9 (/ 1 x)))
1
(- 1 (* 1/9 (/ 1 x)))
(- 1 (* 1/9 (/ 1 x)))
(- 1 (* 1/9 (/ 1 x)))
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 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 (* 1/3 (* (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))))
(- 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))
(* 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 (* 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)) 1/9) x)
(/ (- (* -1/3 (* (sqrt x) y)) 1/9) x)
(/ (- (* -1/3 (* (sqrt x) y)) 1/9) x)
(/ (- (* -1/3 (* (sqrt x) y)) 1/9) x)
(* -1/3 (* (sqrt (/ 1 x)) y))
(- (* -1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x)))
(- (* -1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x)))
(- (* -1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x)))
(* 1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))
(- (* 1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (* 1/9 (/ 1 x)))
(- (* 1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (* 1/9 (/ 1 x)))
(- (* 1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (* 1/9 (/ 1 x)))
(/ -1/9 x)
(- (* -1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x)))
(- (* -1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x)))
(- (* -1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x)))
(* -1/3 (* (sqrt (/ 1 x)) y))
(* y (- (* -1/3 (sqrt (/ 1 x))) (* 1/9 (/ 1 (* x y)))))
(* y (- (* -1/3 (sqrt (/ 1 x))) (* 1/9 (/ 1 (* x y)))))
(* y (- (* -1/3 (sqrt (/ 1 x))) (* 1/9 (/ 1 (* x y)))))
(* -1/3 (* (sqrt (/ 1 x)) y))
(* -1 (* y (+ (* 1/3 (sqrt (/ 1 x))) (* 1/9 (/ 1 (* x y))))))
(* -1 (* y (+ (* 1/3 (sqrt (/ 1 x))) (* 1/9 (/ 1 (* x y))))))
(* -1 (* y (+ (* 1/3 (sqrt (/ 1 x))) (* 1/9 (/ 1 (* x y))))))
(- (* -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))
(* 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))))
(* 1/3 (* (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)))))
-1/9
(- (* -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))
(* 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 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)))))
(/ -1/9 x)
(/ -1/9 x)
(/ -1/9 x)
(/ -1/9 x)
(/ -1/9 x)
(/ -1/9 x)
(/ -1/9 x)
(/ -1/9 x)
(/ -1/9 x)
(/ -1/9 x)
(/ -1/9 x)
(/ -1/9 x)
(* -1 (/ (+ 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 (* 1/3 (* (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))))
(- 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))
(* 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 (* 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))))))
(/ -1/9 x)
(/ (- x 1/9) x)
(/ (- x 1/9) x)
(/ (- x 1/9) x)
1
(- 1 (* 1/9 (/ 1 x)))
(- 1 (* 1/9 (/ 1 x)))
(- 1 (* 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)
(* -9 x)
(* -9 x)
(* -9 x)
(* -9 x)
(* -9 x)
(* -9 x)
(* -9 x)
(* -9 x)
1
(+ 1 (* -1/3 (* (sqrt (/ 1 x)) y)))
(+ 1 (* -1/3 (* (sqrt (/ 1 x)) y)))
(+ 1 (* -1/3 (* (sqrt (/ 1 x)) y)))
(* -1/3 (* (sqrt (/ 1 x)) y))
(* y (+ (* -1/3 (sqrt (/ 1 x))) (/ 1 y)))
(* y (+ (* -1/3 (sqrt (/ 1 x))) (/ 1 y)))
(* y (+ (* -1/3 (sqrt (/ 1 x))) (/ 1 y)))
(* -1/3 (* (sqrt (/ 1 x)) y))
(* -1 (* y (- (* 1/3 (sqrt (/ 1 x))) (/ 1 y))))
(* -1 (* y (- (* 1/3 (sqrt (/ 1 x))) (/ 1 y))))
(* -1 (* y (- (* 1/3 (sqrt (/ 1 x))) (/ 1 y))))
(* -1/3 (* (sqrt (/ 1 x)) y))
(/ (+ x (* -1/3 (* (sqrt x) y))) x)
(/ (+ x (* -1/3 (* (sqrt x) y))) x)
(/ (+ x (* -1/3 (* (sqrt x) y))) x)
(+ 1 (* -1/3 (* (sqrt (/ 1 x)) y)))
(+ 1 (* -1/3 (* (sqrt (/ 1 x)) y)))
(+ 1 (* -1/3 (* (sqrt (/ 1 x)) y)))
(+ 1 (* -1/3 (* (sqrt (/ 1 x)) y)))
(+ 1 (* -1/3 (* (sqrt (/ 1 x)) y)))
(+ 1 (* -1/3 (* (sqrt (/ 1 x)) y)))
(+ 1 (* -1/3 (* (sqrt (/ 1 x)) y)))
(+ 1 (* -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)
(- 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))))
(- 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))
(* 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 (* 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 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* 1/3 (sqrt (/ 1 x)))
(* 1/3 (sqrt (/ 1 x)))
(* 1/3 (sqrt (/ 1 x)))
(* 1/3 (sqrt (/ 1 x)))
(* 1/3 (sqrt (/ 1 x)))
(* 1/3 (sqrt (/ 1 x)))
(* 1/3 (sqrt (/ 1 x)))
(* 1/3 (sqrt (/ 1 x)))
(* 1/3 (sqrt (/ 1 x)))
(* 1/3 (sqrt (/ 1 x)))
(* 1/3 (sqrt (/ 1 x)))
(* 1/3 (sqrt (/ 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 (* 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))))
(- 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))
(* 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 (* 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))
(* -1/3 (* (sqrt (/ 1 x)) y))
(* -1/3 (* (sqrt (/ 1 x)) y))
(* -1/3 (* (sqrt (/ 1 x)) y))
(* -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))))
(* -1/3 (* (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))
(* -1/3 (* (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))
(* -1/3 (* (sqrt (/ 1 x)) y))
(* -1/3 (* (sqrt (/ 1 x)) y))
(sqrt (/ 1 x))
(sqrt (/ 1 x))
(sqrt (/ 1 x))
(sqrt (/ 1 x))
(sqrt (/ 1 x))
(sqrt (/ 1 x))
(sqrt (/ 1 x))
(sqrt (/ 1 x))
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2))
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2))
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2))
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2))
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(* 3 (sqrt x))
(* 3 (sqrt x))
(* 3 (sqrt x))
(* 3 (sqrt x))
(* 3 (sqrt x))
(* 3 (sqrt x))
(* 3 (sqrt x))
(* 3 (sqrt x))
(* -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))
(* 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))
(* 1/3 (* (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))
(* 1/3 (* (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))
(* 1/3 (* (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))
(* -1/3 y)
(* -1/3 y)
(* -1/3 y)
(* -1/3 y)
(* -1/3 y)
(* -1/3 y)
(* -1/3 y)
(* -1/3 y)
(* -1/3 y)
(* -1/3 y)
(* -1/3 y)
(* -1/3 y)
Outputs
(/ 1/9 x)
(/.f64 #s(literal 1/9 binary64) x)
(/ 1/9 x)
(/.f64 #s(literal 1/9 binary64) x)
(/ 1/9 x)
(/.f64 #s(literal 1/9 binary64) x)
(/ 1/9 x)
(/.f64 #s(literal 1/9 binary64) x)
(/ 1/9 x)
(/.f64 #s(literal 1/9 binary64) x)
(/ 1/9 x)
(/.f64 #s(literal 1/9 binary64) x)
(/ 1/9 x)
(/.f64 #s(literal 1/9 binary64) x)
(/ 1/9 x)
(/.f64 #s(literal 1/9 binary64) x)
(/ 1/9 x)
(/.f64 #s(literal 1/9 binary64) x)
(/ 1/9 x)
(/.f64 #s(literal 1/9 binary64) x)
(/ 1/9 x)
(/.f64 #s(literal 1/9 binary64) x)
(/ 1/9 x)
(/.f64 #s(literal 1/9 binary64) x)
(* -1 (/ (+ 1/9 (* 1/3 (* (sqrt x) y))) x))
(/.f64 (fma.f64 (sqrt.f64 x) (*.f64 y #s(literal -1/3 binary64)) #s(literal -1/9 binary64)) x)
(/ (- x (+ 1/9 (* 1/3 (* (sqrt x) y)))) x)
(+.f64 (/.f64 (fma.f64 (sqrt.f64 x) (*.f64 y #s(literal -1/3 binary64)) #s(literal -1/9 binary64)) x) #s(literal 1 binary64))
(/ (- x (+ 1/9 (* 1/3 (* (sqrt x) y)))) x)
(+.f64 (/.f64 (fma.f64 (sqrt.f64 x) (*.f64 y #s(literal -1/3 binary64)) #s(literal -1/9 binary64)) x) #s(literal 1 binary64))
(/ (- x (+ 1/9 (* 1/3 (* (sqrt x) y)))) x)
(+.f64 (/.f64 (fma.f64 (sqrt.f64 x) (*.f64 y #s(literal -1/3 binary64)) #s(literal -1/9 binary64)) x) #s(literal 1 binary64))
(- 1 (* 1/3 (* (sqrt (/ 1 x)) y)))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)) #s(literal 1 binary64))
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)) (+.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 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)) (+.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 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)))
(- 1 (* 1/3 (* (sqrt (/ 1 x)) y)))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)) #s(literal 1 binary64))
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)) (+.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 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)) (+.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 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)) (+.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 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)) (+.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 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)) (+.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 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)))
(* -1/3 (* (sqrt (/ 1 x)) y))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)))
(* y (- (/ 1 y) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/9 (* x y)))))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)) (+.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 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)) (+.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 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)))
(* -1/3 (* (sqrt (/ 1 x)) y))
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(* -1 (* y (- (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* -1/3 (sqrt (/ 1 x))))))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)))
(* -1/3 (* (sqrt (/ 1 x)) y))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)))
(* -1/3 (* (sqrt (/ 1 x)) y))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)))
(* -1/3 (* (sqrt (/ 1 x)) y))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)))
(* -1/3 (* (sqrt (/ 1 x)) y))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)))
(* -1/3 (* (sqrt (/ 1 x)) y))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)))
(* -1/3 (* (sqrt (/ 1 x)) y))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)))
(* -1/3 (* (sqrt (/ 1 x)) y))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)))
(* -1/3 (* (sqrt (/ 1 x)) y))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)))
(* -1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/3 binary64) y))
(* -1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/3 binary64) y))
(* -1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/3 binary64) y))
(* -1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/3 binary64) y))
(* -1/3 (* (sqrt (/ 1 x)) y))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)))
(* -1/3 (* (sqrt (/ 1 x)) y))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)))
(* -1/3 (* (sqrt (/ 1 x)) y))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)))
(* -1/3 (* (sqrt (/ 1 x)) y))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)))
(* -1/3 (* (sqrt (/ 1 x)) y))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)))
(* -1/3 (* (sqrt (/ 1 x)) y))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)))
(* -1/3 (* (sqrt (/ 1 x)) y))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)))
(* -1/3 (* (sqrt (/ 1 x)) y))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)))
(* -1/3 (* (sqrt (/ 1 x)) y))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)))
(* -1/3 (* (sqrt (/ 1 x)) y))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)))
(* -1/3 (* (sqrt (/ 1 x)) y))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)))
(* -1/3 (* (sqrt (/ 1 x)) y))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)))
(sqrt (/ 1 x))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(sqrt (/ 1 x))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(sqrt (/ 1 x))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(sqrt (/ 1 x))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(sqrt (/ 1 x))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(sqrt (/ 1 x))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(sqrt (/ 1 x))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(sqrt (/ 1 x))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2))
(neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2))
(neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2))
(neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2))
(neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(/ 1 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 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 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)
(* 3 (sqrt x))
(*.f64 (sqrt.f64 x) #s(literal 3 binary64))
(* 3 (sqrt x))
(*.f64 (sqrt.f64 x) #s(literal 3 binary64))
(* 3 (sqrt x))
(*.f64 (sqrt.f64 x) #s(literal 3 binary64))
(* 3 (sqrt x))
(*.f64 (sqrt.f64 x) #s(literal 3 binary64))
(* 3 (sqrt x))
(*.f64 (sqrt.f64 x) #s(literal 3 binary64))
(* 3 (sqrt x))
(*.f64 (sqrt.f64 x) #s(literal 3 binary64))
(* 3 (sqrt x))
(*.f64 (sqrt.f64 x) #s(literal 3 binary64))
(* 3 (sqrt x))
(*.f64 (sqrt.f64 x) #s(literal 3 binary64))
(* -3 (* (sqrt x) (pow (sqrt -1) 2)))
(*.f64 (sqrt.f64 x) #s(literal 3 binary64))
(* -3 (* (sqrt x) (pow (sqrt -1) 2)))
(*.f64 (sqrt.f64 x) #s(literal 3 binary64))
(* -3 (* (sqrt x) (pow (sqrt -1) 2)))
(*.f64 (sqrt.f64 x) #s(literal 3 binary64))
(* -3 (* (sqrt x) (pow (sqrt -1) 2)))
(*.f64 (sqrt.f64 x) #s(literal 3 binary64))
(* 1/3 (* (sqrt (/ 1 x)) y))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/3 binary64) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/3 binary64) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/3 binary64) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/3 binary64) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/3 binary64) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/3 binary64) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/3 binary64) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/3 binary64) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/3 binary64) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/3 binary64) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/3 binary64) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/3 binary64) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/3 binary64) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/3 binary64) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/3 binary64) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/3 binary64) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/3 binary64) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/3 binary64) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/3 binary64) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/3 binary64) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/3 binary64) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/3 binary64) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/3 binary64) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/3 binary64) y))
(* -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))
(* -1/3 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))
(* -1/3 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))

rewrite325.0ms (3.3%)

Memory
8.9MiB live, 600.3MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
9 264×lower-fma.f32
9 262×lower-fma.f64
3 594×lower-/.f32
3 582×lower-/.f64
3 158×lower-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
050205
071203
1307178
22781178
08525168
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
22 → 672
Calls
Call 1
Inputs
(/.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal 3 binary64)))
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal 3 binary64)))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal 3 binary64))))
(*.f64 x #s(literal 3 binary64))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 #s(approx (+ (* (sqrt x) (* y -1/3)) -1/9) #s(literal -1/9 binary64)) x))
(/.f64 #s(approx (+ (* (sqrt x) (* y -1/3)) -1/9) #s(literal -1/9 binary64)) x)
#s(approx (+ (* (sqrt x) (* y -1/3)) -1/9) #s(literal -1/9 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 binary64) (*.f64 x #s(literal -9 binary64)))))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal -9 binary64))))
(*.f64 x #s(literal -9 binary64))
(fma.f64 (neg.f64 y) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) #s(literal 1 binary64))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ (/ y (sqrt x)) 3)) (fma.f64 (neg.f64 y) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) #s(literal 1 binary64)))
(neg.f64 y)
(/.f64 #s(literal 1/3 binary64) (sqrt.f64 x))
#s(approx (- (- 1 (/ 1 (* (* x 3) 3))) (/ y (* 3 (sqrt x)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) x)
(*.f64 #s(literal 3 binary64) (sqrt.f64 x))
(/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))
(*.f64 y #s(literal -1/3 binary64))
Outputs
(exp.f64 (neg.f64 (log.f64 (*.f64 x #s(literal 9 binary64)))))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal -1/9 binary64) x))
(neg.f64 (/.f64 #s(literal -1/9 binary64) x))
(/.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal 3 binary64)))
(/.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -3 binary64)))
(/.f64 #s(literal 1/3 binary64) (neg.f64 (*.f64 x #s(literal -3 binary64))))
(/.f64 #s(literal 1/3 binary64) (neg.f64 (neg.f64 (*.f64 x #s(literal -3 binary64)))))
(/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 9 binary64) (/.f64 #s(literal 1 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 #s(literal -9 binary64) (/.f64 #s(literal 1 binary64) x)))
(/.f64 #s(literal -1/3 binary64) (*.f64 x #s(literal 3 binary64)))
(/.f64 #s(literal -1/3 binary64) (*.f64 x #s(literal -3 binary64)))
(/.f64 #s(literal -1/3 binary64) (neg.f64 (*.f64 x #s(literal -3 binary64))))
(/.f64 #s(literal -1/3 binary64) (neg.f64 (neg.f64 (*.f64 x #s(literal -3 binary64)))))
(/.f64 #s(literal -1/9 binary64) x)
(/.f64 #s(literal -1/9 binary64) (neg.f64 x))
(/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 9 binary64))
(/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -9 binary64))
(/.f64 #s(literal -1 binary64) (*.f64 x #s(literal 9 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 9 binary64) (/.f64 #s(literal 1 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 #s(literal -9 binary64) (/.f64 #s(literal 1 binary64) x))))
(/.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 3 binary64))
(/.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64))
(/.f64 #s(literal 1/9 binary64) x)
(/.f64 #s(literal 1/9 binary64) (neg.f64 x))
(/.f64 (neg.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 9 binary64))
(/.f64 (neg.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -9 binary64))
(/.f64 (neg.f64 (/.f64 #s(literal 1/3 binary64) x)) #s(literal 3 binary64))
(/.f64 (neg.f64 (/.f64 #s(literal 1/3 binary64) x)) #s(literal -3 binary64))
(/.f64 (neg.f64 (neg.f64 (/.f64 #s(literal 1 binary64) x))) #s(literal 9 binary64))
(/.f64 (neg.f64 (neg.f64 (/.f64 #s(literal 1 binary64) x))) #s(literal -9 binary64))
(/.f64 (neg.f64 (neg.f64 (/.f64 #s(literal 1/3 binary64) x))) #s(literal 3 binary64))
(/.f64 (neg.f64 (neg.f64 (/.f64 #s(literal 1/3 binary64) x))) #s(literal -3 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x #s(literal 9 binary64)) (*.f64 (*.f64 x #s(literal 9 binary64)) (*.f64 x #s(literal 9 binary64)))))) (+.f64 #s(literal 0 binary64) (fma.f64 #s(literal -1/9 binary64) (/.f64 (/.f64 #s(literal -1/9 binary64) x) x) (*.f64 #s(literal 0 binary64) (/.f64 #s(literal -1/9 binary64) x)))))
(pow.f64 (*.f64 x #s(literal 9 binary64)) #s(literal -1 binary64))
(pow.f64 (*.f64 (*.f64 x #s(literal 9 binary64)) (*.f64 x #s(literal 9 binary64))) #s(literal -1/2 binary64))
(pow.f64 (/.f64 #s(literal 9 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal 3 binary64) (/.f64 #s(literal 1/3 binary64) x)) #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal -9 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64))
(pow.f64 (pow.f64 (*.f64 x #s(literal 9 binary64)) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/3 binary64) x))
(*.f64 #s(literal 1/3 binary64) (neg.f64 (/.f64 #s(literal 1/3 binary64) x)))
(*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal -3 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 -1/3 binary64) (/.f64 #s(literal 1/3 binary64) x))
(*.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal -3 binary64))))
(*.f64 #s(literal -1/9 binary64) (/.f64 #s(literal 1 binary64) x))
(*.f64 #s(literal -1/9 binary64) (/.f64 #s(literal -1 binary64) x))
(*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/9 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/9 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/9 binary64) x))
(*.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1/3 binary64))
(*.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -1/3 binary64))
(*.f64 #s(literal 1/9 binary64) (/.f64 #s(literal 1 binary64) x))
(*.f64 #s(literal 1/9 binary64) (/.f64 #s(literal -1 binary64) x))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal -3 binary64))) #s(literal 1/3 binary64))
(*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1/9 binary64))
(*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/9 binary64))
(*.f64 (pow.f64 (*.f64 x #s(literal 9 binary64)) #s(literal -1/2 binary64)) (pow.f64 (*.f64 x #s(literal 9 binary64)) #s(literal -1/2 binary64)))
(+.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 #s(literal 1/3 binary64) (/.f64 y (sqrt.f64 x)) (/.f64 #s(literal -1/9 binary64) x))))
(+.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal -1/9 binary64) x) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))))
(+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal -1/9 binary64) x) (/.f64 y (*.f64 (sqrt.f64 x) #s(literal -3 binary64)))))
(+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)) (/.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 #s(literal 1 binary64) (fma.f64 #s(literal 1/3 binary64) (/.f64 y (sqrt.f64 x)) (/.f64 #s(literal -1/9 binary64) x)))
(-.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal -1/9 binary64) x) (/.f64 y (*.f64 (sqrt.f64 x) #s(literal -3 binary64)))))
(-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
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(*.f64 (/.f64 (neg.f64 y) (sqrt.f64 x)) #s(literal 1/3 binary64))
(*.f64 (*.f64 #s(literal 1/3 binary64) (neg.f64 y)) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))
(*.f64 (*.f64 y #s(literal 1/3 binary64)) (/.f64 #s(literal -1 binary64) (sqrt.f64 x)))
(*.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) #s(literal -1 binary64)) y)
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -1/3 binary64)) y)
(*.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 binary64) (pow.f64 x #s(literal 1/4 binary64))) (/.f64 (*.f64 y #s(literal 1/3 binary64)) (pow.f64 x #s(literal 1/4 binary64))))
(*.f64 (/.f64 (neg.f64 y) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))
(*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) (*.f64 y #s(literal 1/3 binary64)))
(*.f64 (/.f64 (*.f64 #s(literal 1/3 binary64) (neg.f64 y)) (pow.f64 x #s(literal 1/4 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 1/4 binary64))))
(*.f64 (/.f64 (neg.f64 y) #s(literal -1 binary64)) (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)))
(*.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 #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 (neg.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 y #s(literal -1 binary64)) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)))
(*.f64 (/.f64 (*.f64 y #s(literal -1/3 binary64)) (pow.f64 x #s(literal 1/4 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 1/4 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 1/4 binary64))) (/.f64 (*.f64 y #s(literal -1/3 binary64)) (pow.f64 x #s(literal 1/4 binary64))))
(exp.f64 (*.f64 (neg.f64 (log.f64 x)) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 x) #s(literal -1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 x)) #s(literal -1 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 x) #s(literal 1/2 binary64)) #s(literal -1 binary64)))
(exp.f64 (+.f64 (neg.f64 (log.f64 x)) (*.f64 (log.f64 x) #s(literal 1/2 binary64))))
(exp.f64 (neg.f64 (*.f64 (log.f64 x) #s(literal 1/2 binary64))))
(fabs.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) (sqrt.f64 x))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (sqrt.f64 x))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (neg.f64 (neg.f64 x))))
(/.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 x)))
(/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (neg.f64 x)))
(/.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64))) (neg.f64 (sqrt.f64 (neg.f64 x))))
(pow.f64 x #s(literal -1/2 binary64))
(pow.f64 (sqrt.f64 x) #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 x #s(literal -1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x)) #s(literal 1/4 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))
(*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 x))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (pow.f64 #s(literal 1 binary64) #s(literal -1/2 binary64)))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal -1 binary64) x)))
(*.f64 (pow.f64 x #s(literal -1/4 binary64)) (pow.f64 x #s(literal -1/4 binary64)))
(*.f64 (pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x))))
(exp.f64 (neg.f64 (log.f64 x)))
(exp.f64 (fma.f64 (neg.f64 (log.f64 x)) #s(literal 1/2 binary64) (*.f64 (neg.f64 (log.f64 x)) #s(literal 1/2 binary64))))
(sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x)))
(neg.f64 (/.f64 #s(literal -1 binary64) x))
(/.f64 #s(literal 1 binary64) x)
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 x)))
(/.f64 #s(literal -1 binary64) (neg.f64 x))
(/.f64 #s(literal -1 binary64) (neg.f64 (neg.f64 (neg.f64 x))))
(pow.f64 x #s(literal -1 binary64))
(pow.f64 (sqrt.f64 x) #s(literal -2 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 2 binary64))
(pow.f64 (neg.f64 (neg.f64 x)) #s(literal -1 binary64))
(pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))
(pow.f64 (*.f64 x x) #s(literal -1/2 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
(*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x))
(-.f64 #s(literal 0 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 (sqrt.f64 x) #s(literal 1/3 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x))))
(/.f64 (neg.f64 (sqrt.f64 x)) #s(literal -1/3 binary64))
(/.f64 (neg.f64 (neg.f64 (sqrt.f64 x))) #s(literal 1/3 binary64))
(pow.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) #s(literal -1 binary64))
(*.f64 #s(literal 3 binary64) (sqrt.f64 x))
(*.f64 (sqrt.f64 x) #s(literal 3 binary64))
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) y)) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 y (*.f64 (sqrt.f64 x) #s(literal -3 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (sqrt.f64 x) #s(literal -3 binary64))) (/.f64 y (*.f64 (sqrt.f64 x) #s(literal -3 binary64))))
(-.f64 (/.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (sqrt.f64 x))) #s(literal 3 binary64)) (/.f64 y (*.f64 (sqrt.f64 x) #s(literal -3 binary64))))
(neg.f64 (/.f64 y (*.f64 (sqrt.f64 x) #s(literal -3 binary64))))
(/.f64 #s(literal 1/3 binary64) (/.f64 (sqrt.f64 x) y))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) y))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) y) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 x) (*.f64 y #s(literal 1/3 binary64))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) y))))
(/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))
(/.f64 #s(literal -1/3 binary64) (neg.f64 (/.f64 (sqrt.f64 x) y)))
(/.f64 (neg.f64 y) (*.f64 (sqrt.f64 x) #s(literal -3 binary64)))
(/.f64 (/.f64 y (sqrt.f64 x)) #s(literal 3 binary64))
(/.f64 (*.f64 y #s(literal -1/3 binary64)) (neg.f64 (sqrt.f64 x)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) y)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) y) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (sqrt.f64 x) (*.f64 y #s(literal 1/3 binary64)))))
(/.f64 (/.f64 (neg.f64 y) (sqrt.f64 x)) #s(literal -3 binary64))
(/.f64 (*.f64 #s(literal 1/3 binary64) (neg.f64 y)) (neg.f64 (sqrt.f64 x)))
(/.f64 (*.f64 y #s(literal 1/3 binary64)) (sqrt.f64 x))
(/.f64 (*.f64 y #s(literal 1 binary64)) (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))
(/.f64 (neg.f64 (*.f64 #s(literal 1/3 binary64) (neg.f64 y))) (neg.f64 (neg.f64 (sqrt.f64 x))))
(/.f64 (neg.f64 (neg.f64 y)) (neg.f64 (*.f64 (sqrt.f64 x) #s(literal -3 binary64))))
(/.f64 (-.f64 #s(literal 0 binary64) (neg.f64 (neg.f64 y))) (*.f64 (sqrt.f64 x) #s(literal -3 binary64)))
(/.f64 (neg.f64 (neg.f64 (neg.f64 y))) (neg.f64 (neg.f64 (*.f64 (sqrt.f64 x) #s(literal -3 binary64)))))
(/.f64 (neg.f64 (*.f64 y #s(literal 1 binary64))) (*.f64 (sqrt.f64 x) #s(literal -3 binary64)))
(/.f64 (neg.f64 (*.f64 y #s(literal -1/3 binary64))) (neg.f64 (neg.f64 (sqrt.f64 x))))
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 0 binary64) (*.f64 (sqrt.f64 x) #s(literal -3 binary64))) #s(literal 3 binary64)) (/.f64 (*.f64 #s(literal -1/27 binary64) (*.f64 y (*.f64 y y))) (*.f64 x (sqrt.f64 x)))) (fma.f64 (/.f64 #s(literal 0 binary64) (*.f64 (sqrt.f64 x) #s(literal -3 binary64))) (/.f64 #s(literal 0 binary64) (*.f64 (sqrt.f64 x) #s(literal -3 binary64))) (+.f64 (/.f64 (*.f64 (*.f64 y #s(literal 1/3 binary64)) (*.f64 y #s(literal 1/3 binary64))) x) (*.f64 (/.f64 #s(literal 0 binary64) (*.f64 (sqrt.f64 x) #s(literal -3 binary64))) (/.f64 y (*.f64 (sqrt.f64 x) #s(literal -3 binary64)))))))
(pow.f64 (/.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) y) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) y) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (sqrt.f64 x) (*.f64 y #s(literal 1/3 binary64))) #s(literal -1 binary64))
(*.f64 #s(literal 1/3 binary64) (/.f64 y (sqrt.f64 x)))
(*.f64 #s(literal 1 binary64) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
(*.f64 y (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)))
(*.f64 #s(literal -1/3 binary64) (/.f64 (neg.f64 y) (sqrt.f64 x)))
(*.f64 (neg.f64 y) (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal -3 binary64))))
(*.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) y)
(*.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (pow.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)))
(*.f64 (/.f64 y (sqrt.f64 x)) #s(literal 1/3 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (*.f64 y #s(literal 1/3 binary64)))
(*.f64 #s(literal -1 binary64) (/.f64 y (*.f64 (sqrt.f64 x) #s(literal -3 binary64))))
(*.f64 (/.f64 (neg.f64 y) (sqrt.f64 x)) #s(literal -1/3 binary64))
(*.f64 (*.f64 y #s(literal 1/3 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))
(*.f64 (pow.f64 (/.f64 #s(literal 3 binary64) (neg.f64 y)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 x))))
(*.f64 (/.f64 y #s(literal -3 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 binary64) (sqrt.f64 x)) (/.f64 y #s(literal -3 binary64)))
(*.f64 (/.f64 (neg.f64 y) #s(literal -1 binary64)) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)))
(*.f64 (/.f64 y #s(literal -1 binary64)) (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)))
(*.f64 (/.f64 y #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
(*.f64 y #s(literal -1/3 binary64))
(*.f64 #s(literal -1/3 binary64) y)

eval126.0ms (1.3%)

Memory
10.7MiB live, 241.9MiB allocated
Compiler

Compiled 17 378 to 1 524 computations (91.2% saved)

prune124.0ms (1.2%)

Memory
34.3MiB live, 233.0MiB allocated
Pruning

30 alts after pruning (24 fresh and 6 done)

PrunedKeptTotal
New1 041151 056
Fresh6915
Picked145
Done123
Total1 049301 079
Accuracy
100.0%
Counts
1 079 → 30
Alt Table
Click to see full alt table
StatusAccuracyProgram
59.5%
(fma.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -1/3 binary64) #s(approx (- 1 (/ y (* 3 (sqrt x)))) #s(literal 1 binary64)))
99.6%
(-.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal -3 binary64))) #s(literal 1/3 binary64) #s(literal 1 binary64)) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
✓99.6%
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal 3 binary64)))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
65.7%
#s(approx (- (- 1 (/ 1 (* (* x 3) 3))) (/ y (* 3 (sqrt x)))) (/.f64 (fma.f64 (sqrt.f64 x) (*.f64 y #s(literal -1/3 binary64)) #s(literal -1/9 binary64)) x))
42.1%
#s(approx (- (- 1 (/ 1 (* (* x 3) 3))) (/ y (* 3 (sqrt x)))) (/.f64 (/.f64 y (sqrt.f64 x)) #s(literal -3 binary64)))
42.0%
#s(approx (- (- 1 (/ 1 (* (* x 3) 3))) (/ y (* 3 (sqrt x)))) (/.f64 (*.f64 y #s(literal -1/3 binary64)) (sqrt.f64 x)))
42.1%
#s(approx (- (- 1 (/ 1 (* (* x 3) 3))) (/ y (* 3 (sqrt x)))) (/.f64 y (*.f64 (sqrt.f64 x) #s(literal -3 binary64))))
42.0%
#s(approx (- (- 1 (/ 1 (* (* x 3) 3))) (/ y (* 3 (sqrt x)))) (*.f64 (/.f64 y (sqrt.f64 x)) #s(literal -1/3 binary64)))
42.1%
#s(approx (- (- 1 (/ 1 (* (* x 3) 3))) (/ y (* 3 (sqrt x)))) (*.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (neg.f64 y)))
✓42.0%
#s(approx (- (- 1 (/ 1 (* (* x 3) 3))) (/ y (* 3 (sqrt x)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64))))
69.7%
#s(approx (- (- 1 (/ 1 (* x 9))) (/ (/ y (sqrt x)) 3)) (fma.f64 (/.f64 y (sqrt.f64 x)) #s(literal -1/3 binary64) #s(literal 1 binary64)))
65.1%
#s(approx (- (- 1 (/ 1 (* x 9))) (/ (/ y (sqrt x)) 3)) #s(approx (+ (* (sqrt (/ 1 x)) (* y -1/3)) 1) (fma.f64 (*.f64 (sqrt.f64 x) #s(literal -1/3 binary64)) (/.f64 y x) #s(literal 1 binary64))))
59.6%
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal -3 binary64))) #s(literal 1/3 binary64) #s(literal 1 binary64)))
30.2%
#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)))
30.2%
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (fma.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal -3 binary64))) #s(literal 1 binary64)))
47.0%
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 (*.f64 (fma.f64 x (*.f64 (*.f64 y #s(literal -1/3 binary64)) (*.f64 y #s(literal -1/3 binary64))) #s(literal -1/81 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) #s(literal 1/9 binary64)))) x))
37.3%
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 #s(approx (+ (* (sqrt x) (* y -1/3)) -1/9) (*.f64 (*.f64 (sqrt.f64 x) #s(literal -1/3 binary64)) y)) x))
37.3%
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 #s(approx (+ (* (sqrt x) (* y -1/3)) -1/9) (*.f64 (*.f64 y (sqrt.f64 x)) #s(literal -1/3 binary64))) x))
✓30.6%
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 #s(approx (+ (* (sqrt x) (* y -1/3)) -1/9) #s(literal -1/9 binary64)) x))
30.5%
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 #s(literal 1 binary64) (/.f64 x #s(approx (+ (* (sqrt x) (* y -1/3)) -1/9) #s(literal -1/9 binary64)))))
30.2%
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)))
30.2%
#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))))
30.2%
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x #s(literal 3 binary64)) #s(literal 3 binary64)))))
59.6%
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x #s(literal 3 binary64)) #s(literal -3 binary64)))))
30.2%
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))))
✓59.7%
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal -9 binary64)))))
59.6%
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -3 binary64)))))
✓59.6%
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)))
30.5%
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (*.f64 (/.f64 #s(literal 1 binary64) x) #s(approx (+ (* (sqrt x) (* y -1/3)) -1/9) #s(literal -1/9 binary64))))
✓30.0%
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) #s(approx (+ 1 (/ -1/9 x)) #s(literal 1 binary64)))
Compiler

Compiled 960 to 359 computations (62.6% saved)

regimes64.0ms (0.6%)

Memory
-34.8MiB live, 84.8MiB allocated
Counts
59 → 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)))) (/.f64 #s(approx (+ (* (sqrt x) (* y -1/3)) -1/9) #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)))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (*.f64 (/.f64 #s(literal 1 binary64) x) #s(approx (+ (* (sqrt x) (* y -1/3)) -1/9) #s(literal -1/9 binary64))))
#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)))
(fma.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -1/3 binary64) #s(approx (- 1 (/ y (* 3 (sqrt x)))) #s(literal 1 binary64)))
(fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/9 binary64) #s(approx (- 1 (/ y (* 3 (sqrt x)))) #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 x #s(literal -3 binary64)))))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (+.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 binary64) (*.f64 x #s(literal 9 binary64)))))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 #s(literal 1 binary64) (/.f64 x #s(approx (+ (* (sqrt x) (* y -1/3)) -1/9) #s(literal -1/9 binary64)))))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (fma.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal -3 binary64))) #s(literal 1 binary64)))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal -3 binary64))) #s(literal 1/3 binary64) #s(literal 1 binary64)))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x #s(literal 3 binary64)) #s(literal -3 binary64)))))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x #s(literal 3 binary64)) #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 binary64) x) #s(literal 9 binary64))))
#s(approx (- (- 1 (/ 1 (* (* x 3) 3))) (/ y (* 3 (sqrt x)))) (*.f64 (/.f64 y (sqrt.f64 x)) #s(literal -1/3 binary64)))
#s(approx (- (- 1 (/ 1 (* (* x 3) 3))) (/ y (* 3 (sqrt x)))) (/.f64 y (*.f64 (sqrt.f64 x) #s(literal -3 binary64))))
#s(approx (- (- 1 (/ 1 (* (* x 3) 3))) (/ y (* 3 (sqrt x)))) (/.f64 (*.f64 y #s(literal -1/3 binary64)) (sqrt.f64 x)))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ (/ y (sqrt x)) 3)) (fma.f64 (/.f64 y (sqrt.f64 x)) #s(literal -1/3 binary64) #s(literal 1 binary64)))
#s(approx (- (- 1 (/ 1 (* (* x 3) 3))) (/ y (* 3 (sqrt x)))) (*.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (neg.f64 y)))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ (/ y (sqrt x)) 3)) (+.f64 (/.f64 (*.f64 y #s(literal -1/3 binary64)) (sqrt.f64 x)) #s(literal 1 binary64)))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ (/ y (sqrt x)) 3)) (fma.f64 (neg.f64 y) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) #s(literal 1 binary64)))
(-.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 3) 3))) #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 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64))))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 #s(approx (+ (* (sqrt x) (* y -1/3)) -1/9) (*.f64 (sqrt.f64 x) (*.f64 y #s(literal -1/3 binary64)))) x))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 #s(approx (+ (* (sqrt x) (* y -1/3)) -1/9) (*.f64 (*.f64 y (sqrt.f64 x)) #s(literal -1/3 binary64))) x))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 #s(approx (+ (* (sqrt x) (* y -1/3)) -1/9) (*.f64 (*.f64 (sqrt.f64 x) #s(literal -1/3 binary64)) y)) x))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ (/ y (sqrt x)) 3)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64))))
#s(approx (- (- 1 (/ 1 (* (* x 3) 3))) (/ y (* 3 (sqrt x)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64))))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 (fma.f64 (sqrt.f64 x) (*.f64 y #s(literal -1/3 binary64)) #s(literal -1/9 binary64)) x))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 (fma.f64 (*.f64 y (sqrt.f64 x)) #s(literal -1/3 binary64) #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)))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)) #s(literal 1 binary64)))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ (/ y (sqrt x)) 3)) #s(approx (+ (* (sqrt (/ 1 x)) (* y -1/3)) 1) (fma.f64 (*.f64 (sqrt.f64 x) #s(literal -1/3 binary64)) (/.f64 y x) #s(literal 1 binary64))))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ (/ y (sqrt x)) 3)) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)) #s(literal 1 binary64)))
#s(approx (- (- 1 (/ 1 (* (* x 3) 3))) (/ y (* 3 (sqrt x)))) (/.f64 (/.f64 y (sqrt.f64 x)) #s(literal -3 binary64)))
#s(approx (- (- 1 (/ 1 (* (* x 3) 3))) (/ y (* 3 (sqrt x)))) (/.f64 (fma.f64 (sqrt.f64 x) (*.f64 y #s(literal -1/3 binary64)) #s(literal -1/9 binary64)) x))
(-.f64 #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) (/.f64 (/.f64 y (sqrt.f64 x)) #s(literal 3 binary64)))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (*.f64 (fma.f64 y (*.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) #s(literal -1/9 binary64)) (/.f64 #s(literal 1 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)))
(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)))) (/.f64 (-.f64 (/.f64 #s(literal 1/81 binary64) (*.f64 x x)) #s(literal 1 binary64)) (-.f64 (/.f64 #s(literal -1/9 binary64) x) #s(literal 1 binary64))))
(fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/9 binary64) (-.f64 #s(literal 1 binary64) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))))
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal 3 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))))
(-.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal -3 binary64))) #s(literal 1/3 binary64) #s(literal 1 binary64)) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x #s(literal 3 binary64)) #s(literal 3 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 (/.f64 y (sqrt.f64 x)) #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))))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 (fma.f64 x (*.f64 (*.f64 y #s(literal -1/3 binary64)) (*.f64 y #s(literal -1/3 binary64))) #s(literal -1/81 binary64)) (*.f64 x (fma.f64 y (*.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) #s(literal 1/9 binary64)))))
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) y)))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 (*.f64 (fma.f64 x (*.f64 (*.f64 y #s(literal -1/3 binary64)) (*.f64 y #s(literal -1/3 binary64))) #s(literal -1/81 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) #s(literal 1/9 binary64)))) 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 (/.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 x #s(literal 9 binary64)) x)) #s(literal 1 binary64)) (-.f64 (/.f64 #s(literal -1/9 binary64) x) #s(literal 1 binary64))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
(*.f64 (neg.f64 (fma.f64 (+.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 (*.f64 y y) (*.f64 x #s(literal -9 binary64))))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/3 binary64) (/.f64 y (sqrt.f64 x)) (neg.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x))))))
Outputs
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) (/.f64 (/.f64 y (sqrt.f64 x)) #s(literal 3 binary64)))
Calls

3 calls:

19.0ms
y
16.0ms
x
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))))
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 22 to 16 computations (27.3% saved)

regimes54.0ms (0.5%)

Memory
3.1MiB live, 77.4MiB allocated
Counts
51 → 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)))) (/.f64 #s(approx (+ (* (sqrt x) (* y -1/3)) -1/9) #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)))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (*.f64 (/.f64 #s(literal 1 binary64) x) #s(approx (+ (* (sqrt x) (* y -1/3)) -1/9) #s(literal -1/9 binary64))))
#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)))
(fma.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -1/3 binary64) #s(approx (- 1 (/ y (* 3 (sqrt x)))) #s(literal 1 binary64)))
(fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/9 binary64) #s(approx (- 1 (/ y (* 3 (sqrt x)))) #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 x #s(literal -3 binary64)))))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (+.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 binary64) (*.f64 x #s(literal 9 binary64)))))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 #s(literal 1 binary64) (/.f64 x #s(approx (+ (* (sqrt x) (* y -1/3)) -1/9) #s(literal -1/9 binary64)))))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (fma.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal -3 binary64))) #s(literal 1 binary64)))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal -3 binary64))) #s(literal 1/3 binary64) #s(literal 1 binary64)))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x #s(literal 3 binary64)) #s(literal -3 binary64)))))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x #s(literal 3 binary64)) #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 binary64) x) #s(literal 9 binary64))))
#s(approx (- (- 1 (/ 1 (* (* x 3) 3))) (/ y (* 3 (sqrt x)))) (*.f64 (/.f64 y (sqrt.f64 x)) #s(literal -1/3 binary64)))
#s(approx (- (- 1 (/ 1 (* (* x 3) 3))) (/ y (* 3 (sqrt x)))) (/.f64 y (*.f64 (sqrt.f64 x) #s(literal -3 binary64))))
#s(approx (- (- 1 (/ 1 (* (* x 3) 3))) (/ y (* 3 (sqrt x)))) (/.f64 (*.f64 y #s(literal -1/3 binary64)) (sqrt.f64 x)))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ (/ y (sqrt x)) 3)) (fma.f64 (/.f64 y (sqrt.f64 x)) #s(literal -1/3 binary64) #s(literal 1 binary64)))
#s(approx (- (- 1 (/ 1 (* (* x 3) 3))) (/ y (* 3 (sqrt x)))) (*.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (neg.f64 y)))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ (/ y (sqrt x)) 3)) (+.f64 (/.f64 (*.f64 y #s(literal -1/3 binary64)) (sqrt.f64 x)) #s(literal 1 binary64)))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ (/ y (sqrt x)) 3)) (fma.f64 (neg.f64 y) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) #s(literal 1 binary64)))
(-.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 3) 3))) #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 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64))))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 #s(approx (+ (* (sqrt x) (* y -1/3)) -1/9) (*.f64 (sqrt.f64 x) (*.f64 y #s(literal -1/3 binary64)))) x))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 #s(approx (+ (* (sqrt x) (* y -1/3)) -1/9) (*.f64 (*.f64 y (sqrt.f64 x)) #s(literal -1/3 binary64))) x))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 #s(approx (+ (* (sqrt x) (* y -1/3)) -1/9) (*.f64 (*.f64 (sqrt.f64 x) #s(literal -1/3 binary64)) y)) x))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ (/ y (sqrt x)) 3)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64))))
#s(approx (- (- 1 (/ 1 (* (* x 3) 3))) (/ y (* 3 (sqrt x)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64))))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 (fma.f64 (sqrt.f64 x) (*.f64 y #s(literal -1/3 binary64)) #s(literal -1/9 binary64)) x))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 (fma.f64 (*.f64 y (sqrt.f64 x)) #s(literal -1/3 binary64) #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)))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)) #s(literal 1 binary64)))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ (/ y (sqrt x)) 3)) #s(approx (+ (* (sqrt (/ 1 x)) (* y -1/3)) 1) (fma.f64 (*.f64 (sqrt.f64 x) #s(literal -1/3 binary64)) (/.f64 y x) #s(literal 1 binary64))))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ (/ y (sqrt x)) 3)) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)) #s(literal 1 binary64)))
#s(approx (- (- 1 (/ 1 (* (* x 3) 3))) (/ y (* 3 (sqrt x)))) (/.f64 (/.f64 y (sqrt.f64 x)) #s(literal -3 binary64)))
#s(approx (- (- 1 (/ 1 (* (* x 3) 3))) (/ y (* 3 (sqrt x)))) (/.f64 (fma.f64 (sqrt.f64 x) (*.f64 y #s(literal -1/3 binary64)) #s(literal -1/9 binary64)) x))
(-.f64 #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) (/.f64 (/.f64 y (sqrt.f64 x)) #s(literal 3 binary64)))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (*.f64 (fma.f64 y (*.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) #s(literal -1/9 binary64)) (/.f64 #s(literal 1 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)))
(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)))) (/.f64 (-.f64 (/.f64 #s(literal 1/81 binary64) (*.f64 x x)) #s(literal 1 binary64)) (-.f64 (/.f64 #s(literal -1/9 binary64) x) #s(literal 1 binary64))))
(fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/9 binary64) (-.f64 #s(literal 1 binary64) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))))
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal 3 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))))
(-.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal -3 binary64))) #s(literal 1/3 binary64) #s(literal 1 binary64)) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x #s(literal 3 binary64)) #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:

19.0ms
y
14.0ms
x
13.0ms
(-.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
99.7%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 22 to 16 computations (27.3% saved)

regimes46.0ms (0.5%)

Memory
35.1MiB live, 72.1MiB 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)))) (/.f64 #s(approx (+ (* (sqrt x) (* y -1/3)) -1/9) #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)))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (*.f64 (/.f64 #s(literal 1 binary64) x) #s(approx (+ (* (sqrt x) (* y -1/3)) -1/9) #s(literal -1/9 binary64))))
#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)))
(fma.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -1/3 binary64) #s(approx (- 1 (/ y (* 3 (sqrt x)))) #s(literal 1 binary64)))
(fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/9 binary64) #s(approx (- 1 (/ y (* 3 (sqrt x)))) #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 x #s(literal -3 binary64)))))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (+.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 binary64) (*.f64 x #s(literal 9 binary64)))))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 #s(literal 1 binary64) (/.f64 x #s(approx (+ (* (sqrt x) (* y -1/3)) -1/9) #s(literal -1/9 binary64)))))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (fma.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal -3 binary64))) #s(literal 1 binary64)))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal -3 binary64))) #s(literal 1/3 binary64) #s(literal 1 binary64)))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x #s(literal 3 binary64)) #s(literal -3 binary64)))))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x #s(literal 3 binary64)) #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 binary64) x) #s(literal 9 binary64))))
#s(approx (- (- 1 (/ 1 (* (* x 3) 3))) (/ y (* 3 (sqrt x)))) (*.f64 (/.f64 y (sqrt.f64 x)) #s(literal -1/3 binary64)))
#s(approx (- (- 1 (/ 1 (* (* x 3) 3))) (/ y (* 3 (sqrt x)))) (/.f64 y (*.f64 (sqrt.f64 x) #s(literal -3 binary64))))
#s(approx (- (- 1 (/ 1 (* (* x 3) 3))) (/ y (* 3 (sqrt x)))) (/.f64 (*.f64 y #s(literal -1/3 binary64)) (sqrt.f64 x)))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ (/ y (sqrt x)) 3)) (fma.f64 (/.f64 y (sqrt.f64 x)) #s(literal -1/3 binary64) #s(literal 1 binary64)))
#s(approx (- (- 1 (/ 1 (* (* x 3) 3))) (/ y (* 3 (sqrt x)))) (*.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (neg.f64 y)))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ (/ y (sqrt x)) 3)) (+.f64 (/.f64 (*.f64 y #s(literal -1/3 binary64)) (sqrt.f64 x)) #s(literal 1 binary64)))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ (/ y (sqrt x)) 3)) (fma.f64 (neg.f64 y) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) #s(literal 1 binary64)))
(-.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 3) 3))) #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 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64))))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 #s(approx (+ (* (sqrt x) (* y -1/3)) -1/9) (*.f64 (sqrt.f64 x) (*.f64 y #s(literal -1/3 binary64)))) x))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 #s(approx (+ (* (sqrt x) (* y -1/3)) -1/9) (*.f64 (*.f64 y (sqrt.f64 x)) #s(literal -1/3 binary64))) x))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 #s(approx (+ (* (sqrt x) (* y -1/3)) -1/9) (*.f64 (*.f64 (sqrt.f64 x) #s(literal -1/3 binary64)) y)) x))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ (/ y (sqrt x)) 3)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64))))
#s(approx (- (- 1 (/ 1 (* (* x 3) 3))) (/ y (* 3 (sqrt x)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64))))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 (fma.f64 (sqrt.f64 x) (*.f64 y #s(literal -1/3 binary64)) #s(literal -1/9 binary64)) x))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 (fma.f64 (*.f64 y (sqrt.f64 x)) #s(literal -1/3 binary64) #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)))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)) #s(literal 1 binary64)))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ (/ y (sqrt x)) 3)) #s(approx (+ (* (sqrt (/ 1 x)) (* y -1/3)) 1) (fma.f64 (*.f64 (sqrt.f64 x) #s(literal -1/3 binary64)) (/.f64 y x) #s(literal 1 binary64))))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ (/ y (sqrt x)) 3)) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)) #s(literal 1 binary64)))
#s(approx (- (- 1 (/ 1 (* (* x 3) 3))) (/ y (* 3 (sqrt x)))) (/.f64 (/.f64 y (sqrt.f64 x)) #s(literal -3 binary64)))
#s(approx (- (- 1 (/ 1 (* (* x 3) 3))) (/ y (* 3 (sqrt x)))) (/.f64 (fma.f64 (sqrt.f64 x) (*.f64 y #s(literal -1/3 binary64)) #s(literal -1/9 binary64)) x))
(-.f64 #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) (/.f64 (/.f64 y (sqrt.f64 x)) #s(literal 3 binary64)))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (*.f64 (fma.f64 y (*.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) #s(literal -1/9 binary64)) (/.f64 #s(literal 1 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)))
(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)))) (/.f64 (-.f64 (/.f64 #s(literal 1/81 binary64) (*.f64 x x)) #s(literal 1 binary64)) (-.f64 (/.f64 #s(literal -1/9 binary64) x) #s(literal 1 binary64))))
(fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/9 binary64) (-.f64 #s(literal 1 binary64) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))))
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 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 1/3 binary64) (*.f64 x #s(literal 3 binary64)))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
Calls

3 calls:

18.0ms
y
13.0ms
x
12.0ms
(-.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 22 to 16 computations (27.3% saved)

regimes52.0ms (0.5%)

Memory
-12.9MiB live, 70.2MiB allocated
Counts
47 → 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)))) (/.f64 #s(approx (+ (* (sqrt x) (* y -1/3)) -1/9) #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)))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (*.f64 (/.f64 #s(literal 1 binary64) x) #s(approx (+ (* (sqrt x) (* y -1/3)) -1/9) #s(literal -1/9 binary64))))
#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)))
(fma.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -1/3 binary64) #s(approx (- 1 (/ y (* 3 (sqrt x)))) #s(literal 1 binary64)))
(fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/9 binary64) #s(approx (- 1 (/ y (* 3 (sqrt x)))) #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 x #s(literal -3 binary64)))))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (+.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 binary64) (*.f64 x #s(literal 9 binary64)))))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 #s(literal 1 binary64) (/.f64 x #s(approx (+ (* (sqrt x) (* y -1/3)) -1/9) #s(literal -1/9 binary64)))))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (fma.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal -3 binary64))) #s(literal 1 binary64)))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal -3 binary64))) #s(literal 1/3 binary64) #s(literal 1 binary64)))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x #s(literal 3 binary64)) #s(literal -3 binary64)))))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x #s(literal 3 binary64)) #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 binary64) x) #s(literal 9 binary64))))
#s(approx (- (- 1 (/ 1 (* (* x 3) 3))) (/ y (* 3 (sqrt x)))) (*.f64 (/.f64 y (sqrt.f64 x)) #s(literal -1/3 binary64)))
#s(approx (- (- 1 (/ 1 (* (* x 3) 3))) (/ y (* 3 (sqrt x)))) (/.f64 y (*.f64 (sqrt.f64 x) #s(literal -3 binary64))))
#s(approx (- (- 1 (/ 1 (* (* x 3) 3))) (/ y (* 3 (sqrt x)))) (/.f64 (*.f64 y #s(literal -1/3 binary64)) (sqrt.f64 x)))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ (/ y (sqrt x)) 3)) (fma.f64 (/.f64 y (sqrt.f64 x)) #s(literal -1/3 binary64) #s(literal 1 binary64)))
#s(approx (- (- 1 (/ 1 (* (* x 3) 3))) (/ y (* 3 (sqrt x)))) (*.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (neg.f64 y)))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ (/ y (sqrt x)) 3)) (+.f64 (/.f64 (*.f64 y #s(literal -1/3 binary64)) (sqrt.f64 x)) #s(literal 1 binary64)))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ (/ y (sqrt x)) 3)) (fma.f64 (neg.f64 y) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) #s(literal 1 binary64)))
(-.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 3) 3))) #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 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64))))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 #s(approx (+ (* (sqrt x) (* y -1/3)) -1/9) (*.f64 (sqrt.f64 x) (*.f64 y #s(literal -1/3 binary64)))) x))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 #s(approx (+ (* (sqrt x) (* y -1/3)) -1/9) (*.f64 (*.f64 y (sqrt.f64 x)) #s(literal -1/3 binary64))) x))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 #s(approx (+ (* (sqrt x) (* y -1/3)) -1/9) (*.f64 (*.f64 (sqrt.f64 x) #s(literal -1/3 binary64)) y)) x))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ (/ y (sqrt x)) 3)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64))))
#s(approx (- (- 1 (/ 1 (* (* x 3) 3))) (/ y (* 3 (sqrt x)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64))))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 (fma.f64 (sqrt.f64 x) (*.f64 y #s(literal -1/3 binary64)) #s(literal -1/9 binary64)) x))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 (fma.f64 (*.f64 y (sqrt.f64 x)) #s(literal -1/3 binary64) #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)))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)) #s(literal 1 binary64)))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ (/ y (sqrt x)) 3)) #s(approx (+ (* (sqrt (/ 1 x)) (* y -1/3)) 1) (fma.f64 (*.f64 (sqrt.f64 x) #s(literal -1/3 binary64)) (/.f64 y x) #s(literal 1 binary64))))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ (/ y (sqrt x)) 3)) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)) #s(literal 1 binary64)))
#s(approx (- (- 1 (/ 1 (* (* x 3) 3))) (/ y (* 3 (sqrt x)))) (/.f64 (/.f64 y (sqrt.f64 x)) #s(literal -3 binary64)))
#s(approx (- (- 1 (/ 1 (* (* x 3) 3))) (/ y (* 3 (sqrt x)))) (/.f64 (fma.f64 (sqrt.f64 x) (*.f64 y #s(literal -1/3 binary64)) #s(literal -1/9 binary64)) x))
(-.f64 #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) (/.f64 (/.f64 y (sqrt.f64 x)) #s(literal 3 binary64)))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (*.f64 (fma.f64 y (*.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) #s(literal -1/9 binary64)) (/.f64 #s(literal 1 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)))
(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)))) (/.f64 (-.f64 (/.f64 #s(literal 1/81 binary64) (*.f64 x x)) #s(literal 1 binary64)) (-.f64 (/.f64 #s(literal -1/9 binary64) x) #s(literal 1 binary64))))
(fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/9 binary64) (-.f64 #s(literal 1 binary64) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))))
Outputs
(fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/9 binary64) (-.f64 #s(literal 1 binary64) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))))
Calls

3 calls:

19.0ms
x
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))))
13.0ms
y
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 22 to 16 computations (27.3% saved)

regimes75.0ms (0.7%)

Memory
12.7MiB live, 50.8MiB allocated
Counts
46 → 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)))) (/.f64 #s(approx (+ (* (sqrt x) (* y -1/3)) -1/9) #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)))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (*.f64 (/.f64 #s(literal 1 binary64) x) #s(approx (+ (* (sqrt x) (* y -1/3)) -1/9) #s(literal -1/9 binary64))))
#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)))
(fma.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -1/3 binary64) #s(approx (- 1 (/ y (* 3 (sqrt x)))) #s(literal 1 binary64)))
(fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/9 binary64) #s(approx (- 1 (/ y (* 3 (sqrt x)))) #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 x #s(literal -3 binary64)))))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (+.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 binary64) (*.f64 x #s(literal 9 binary64)))))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 #s(literal 1 binary64) (/.f64 x #s(approx (+ (* (sqrt x) (* y -1/3)) -1/9) #s(literal -1/9 binary64)))))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (fma.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal -3 binary64))) #s(literal 1 binary64)))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal -3 binary64))) #s(literal 1/3 binary64) #s(literal 1 binary64)))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x #s(literal 3 binary64)) #s(literal -3 binary64)))))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x #s(literal 3 binary64)) #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 binary64) x) #s(literal 9 binary64))))
#s(approx (- (- 1 (/ 1 (* (* x 3) 3))) (/ y (* 3 (sqrt x)))) (*.f64 (/.f64 y (sqrt.f64 x)) #s(literal -1/3 binary64)))
#s(approx (- (- 1 (/ 1 (* (* x 3) 3))) (/ y (* 3 (sqrt x)))) (/.f64 y (*.f64 (sqrt.f64 x) #s(literal -3 binary64))))
#s(approx (- (- 1 (/ 1 (* (* x 3) 3))) (/ y (* 3 (sqrt x)))) (/.f64 (*.f64 y #s(literal -1/3 binary64)) (sqrt.f64 x)))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ (/ y (sqrt x)) 3)) (fma.f64 (/.f64 y (sqrt.f64 x)) #s(literal -1/3 binary64) #s(literal 1 binary64)))
#s(approx (- (- 1 (/ 1 (* (* x 3) 3))) (/ y (* 3 (sqrt x)))) (*.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (neg.f64 y)))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ (/ y (sqrt x)) 3)) (+.f64 (/.f64 (*.f64 y #s(literal -1/3 binary64)) (sqrt.f64 x)) #s(literal 1 binary64)))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ (/ y (sqrt x)) 3)) (fma.f64 (neg.f64 y) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) #s(literal 1 binary64)))
(-.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 3) 3))) #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 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64))))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 #s(approx (+ (* (sqrt x) (* y -1/3)) -1/9) (*.f64 (sqrt.f64 x) (*.f64 y #s(literal -1/3 binary64)))) x))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 #s(approx (+ (* (sqrt x) (* y -1/3)) -1/9) (*.f64 (*.f64 y (sqrt.f64 x)) #s(literal -1/3 binary64))) x))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 #s(approx (+ (* (sqrt x) (* y -1/3)) -1/9) (*.f64 (*.f64 (sqrt.f64 x) #s(literal -1/3 binary64)) y)) x))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ (/ y (sqrt x)) 3)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64))))
#s(approx (- (- 1 (/ 1 (* (* x 3) 3))) (/ y (* 3 (sqrt x)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64))))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 (fma.f64 (sqrt.f64 x) (*.f64 y #s(literal -1/3 binary64)) #s(literal -1/9 binary64)) x))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 (fma.f64 (*.f64 y (sqrt.f64 x)) #s(literal -1/3 binary64) #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)))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)) #s(literal 1 binary64)))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ (/ y (sqrt x)) 3)) #s(approx (+ (* (sqrt (/ 1 x)) (* y -1/3)) 1) (fma.f64 (*.f64 (sqrt.f64 x) #s(literal -1/3 binary64)) (/.f64 y x) #s(literal 1 binary64))))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ (/ y (sqrt x)) 3)) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)) #s(literal 1 binary64)))
#s(approx (- (- 1 (/ 1 (* (* x 3) 3))) (/ y (* 3 (sqrt x)))) (/.f64 (/.f64 y (sqrt.f64 x)) #s(literal -3 binary64)))
#s(approx (- (- 1 (/ 1 (* (* x 3) 3))) (/ y (* 3 (sqrt x)))) (/.f64 (fma.f64 (sqrt.f64 x) (*.f64 y #s(literal -1/3 binary64)) #s(literal -1/9 binary64)) x))
(-.f64 #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) (/.f64 (/.f64 y (sqrt.f64 x)) #s(literal 3 binary64)))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (*.f64 (fma.f64 y (*.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) #s(literal -1/9 binary64)) (/.f64 #s(literal 1 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)))
(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)))) (/.f64 (-.f64 (/.f64 #s(literal 1/81 binary64) (*.f64 x x)) #s(literal 1 binary64)) (-.f64 (/.f64 #s(literal -1/9 binary64) x) #s(literal 1 binary64))))
Outputs
(fma.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)))
Calls

3 calls:

48.0ms
y
13.0ms
x
12.0ms
(-.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 22 to 16 computations (27.3% saved)

regimes70.0ms (0.7%)

Memory
-23.5MiB live, 61.5MiB allocated
Counts
43 → 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)))) (/.f64 #s(approx (+ (* (sqrt x) (* y -1/3)) -1/9) #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)))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (*.f64 (/.f64 #s(literal 1 binary64) x) #s(approx (+ (* (sqrt x) (* y -1/3)) -1/9) #s(literal -1/9 binary64))))
#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)))
(fma.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -1/3 binary64) #s(approx (- 1 (/ y (* 3 (sqrt x)))) #s(literal 1 binary64)))
(fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/9 binary64) #s(approx (- 1 (/ y (* 3 (sqrt x)))) #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 x #s(literal -3 binary64)))))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (+.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 binary64) (*.f64 x #s(literal 9 binary64)))))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 #s(literal 1 binary64) (/.f64 x #s(approx (+ (* (sqrt x) (* y -1/3)) -1/9) #s(literal -1/9 binary64)))))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (fma.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal -3 binary64))) #s(literal 1 binary64)))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal -3 binary64))) #s(literal 1/3 binary64) #s(literal 1 binary64)))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x #s(literal 3 binary64)) #s(literal -3 binary64)))))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x #s(literal 3 binary64)) #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 binary64) x) #s(literal 9 binary64))))
#s(approx (- (- 1 (/ 1 (* (* x 3) 3))) (/ y (* 3 (sqrt x)))) (*.f64 (/.f64 y (sqrt.f64 x)) #s(literal -1/3 binary64)))
#s(approx (- (- 1 (/ 1 (* (* x 3) 3))) (/ y (* 3 (sqrt x)))) (/.f64 y (*.f64 (sqrt.f64 x) #s(literal -3 binary64))))
#s(approx (- (- 1 (/ 1 (* (* x 3) 3))) (/ y (* 3 (sqrt x)))) (/.f64 (*.f64 y #s(literal -1/3 binary64)) (sqrt.f64 x)))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ (/ y (sqrt x)) 3)) (fma.f64 (/.f64 y (sqrt.f64 x)) #s(literal -1/3 binary64) #s(literal 1 binary64)))
#s(approx (- (- 1 (/ 1 (* (* x 3) 3))) (/ y (* 3 (sqrt x)))) (*.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (neg.f64 y)))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ (/ y (sqrt x)) 3)) (+.f64 (/.f64 (*.f64 y #s(literal -1/3 binary64)) (sqrt.f64 x)) #s(literal 1 binary64)))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ (/ y (sqrt x)) 3)) (fma.f64 (neg.f64 y) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) #s(literal 1 binary64)))
(-.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 3) 3))) #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 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64))))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 #s(approx (+ (* (sqrt x) (* y -1/3)) -1/9) (*.f64 (sqrt.f64 x) (*.f64 y #s(literal -1/3 binary64)))) x))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 #s(approx (+ (* (sqrt x) (* y -1/3)) -1/9) (*.f64 (*.f64 y (sqrt.f64 x)) #s(literal -1/3 binary64))) x))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 #s(approx (+ (* (sqrt x) (* y -1/3)) -1/9) (*.f64 (*.f64 (sqrt.f64 x) #s(literal -1/3 binary64)) y)) x))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ (/ y (sqrt x)) 3)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64))))
#s(approx (- (- 1 (/ 1 (* (* x 3) 3))) (/ y (* 3 (sqrt x)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64))))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 (fma.f64 (sqrt.f64 x) (*.f64 y #s(literal -1/3 binary64)) #s(literal -1/9 binary64)) x))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 (fma.f64 (*.f64 y (sqrt.f64 x)) #s(literal -1/3 binary64) #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)))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)) #s(literal 1 binary64)))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ (/ y (sqrt x)) 3)) #s(approx (+ (* (sqrt (/ 1 x)) (* y -1/3)) 1) (fma.f64 (*.f64 (sqrt.f64 x) #s(literal -1/3 binary64)) (/.f64 y x) #s(literal 1 binary64))))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ (/ y (sqrt x)) 3)) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)) #s(literal 1 binary64)))
#s(approx (- (- 1 (/ 1 (* (* x 3) 3))) (/ y (* 3 (sqrt x)))) (/.f64 (/.f64 y (sqrt.f64 x)) #s(literal -3 binary64)))
#s(approx (- (- 1 (/ 1 (* (* x 3) 3))) (/ y (* 3 (sqrt x)))) (/.f64 (fma.f64 (sqrt.f64 x) (*.f64 y #s(literal -1/3 binary64)) #s(literal -1/9 binary64)) x))
(-.f64 #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) (/.f64 (/.f64 y (sqrt.f64 x)) #s(literal 3 binary64)))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (*.f64 (fma.f64 y (*.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) #s(literal -1/9 binary64)) (/.f64 #s(literal 1 binary64) x)))
Outputs
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 (fma.f64 (*.f64 y (sqrt.f64 x)) #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:

41.0ms
(-.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
12.0ms
x
Results
AccuracySegmentsBranch
96.4%3y
98.6%2x
96.9%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 22 to 16 computations (27.3% saved)

regimes12.0ms (0.1%)

Memory
22.6MiB live, 22.6MiB 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)))) (/.f64 #s(approx (+ (* (sqrt x) (* y -1/3)) -1/9) #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)))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (*.f64 (/.f64 #s(literal 1 binary64) x) #s(approx (+ (* (sqrt x) (* y -1/3)) -1/9) #s(literal -1/9 binary64))))
#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)))
(fma.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -1/3 binary64) #s(approx (- 1 (/ y (* 3 (sqrt x)))) #s(literal 1 binary64)))
(fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/9 binary64) #s(approx (- 1 (/ y (* 3 (sqrt x)))) #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 x #s(literal -3 binary64)))))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (+.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 binary64) (*.f64 x #s(literal 9 binary64)))))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 #s(literal 1 binary64) (/.f64 x #s(approx (+ (* (sqrt x) (* y -1/3)) -1/9) #s(literal -1/9 binary64)))))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (fma.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal -3 binary64))) #s(literal 1 binary64)))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal -3 binary64))) #s(literal 1/3 binary64) #s(literal 1 binary64)))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x #s(literal 3 binary64)) #s(literal -3 binary64)))))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x #s(literal 3 binary64)) #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 binary64) x) #s(literal 9 binary64))))
#s(approx (- (- 1 (/ 1 (* (* x 3) 3))) (/ y (* 3 (sqrt x)))) (*.f64 (/.f64 y (sqrt.f64 x)) #s(literal -1/3 binary64)))
#s(approx (- (- 1 (/ 1 (* (* x 3) 3))) (/ y (* 3 (sqrt x)))) (/.f64 y (*.f64 (sqrt.f64 x) #s(literal -3 binary64))))
#s(approx (- (- 1 (/ 1 (* (* x 3) 3))) (/ y (* 3 (sqrt x)))) (/.f64 (*.f64 y #s(literal -1/3 binary64)) (sqrt.f64 x)))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ (/ y (sqrt x)) 3)) (fma.f64 (/.f64 y (sqrt.f64 x)) #s(literal -1/3 binary64) #s(literal 1 binary64)))
#s(approx (- (- 1 (/ 1 (* (* x 3) 3))) (/ y (* 3 (sqrt x)))) (*.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (neg.f64 y)))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ (/ y (sqrt x)) 3)) (+.f64 (/.f64 (*.f64 y #s(literal -1/3 binary64)) (sqrt.f64 x)) #s(literal 1 binary64)))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ (/ y (sqrt x)) 3)) (fma.f64 (neg.f64 y) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) #s(literal 1 binary64)))
(-.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 3) 3))) #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 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64))))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 #s(approx (+ (* (sqrt x) (* y -1/3)) -1/9) (*.f64 (sqrt.f64 x) (*.f64 y #s(literal -1/3 binary64)))) x))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 #s(approx (+ (* (sqrt x) (* y -1/3)) -1/9) (*.f64 (*.f64 y (sqrt.f64 x)) #s(literal -1/3 binary64))) x))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 #s(approx (+ (* (sqrt x) (* y -1/3)) -1/9) (*.f64 (*.f64 (sqrt.f64 x) #s(literal -1/3 binary64)) y)) x))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ (/ y (sqrt x)) 3)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64))))
#s(approx (- (- 1 (/ 1 (* (* x 3) 3))) (/ y (* 3 (sqrt x)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64))))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 (fma.f64 (sqrt.f64 x) (*.f64 y #s(literal -1/3 binary64)) #s(literal -1/9 binary64)) x))
Outputs
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 (fma.f64 (sqrt.f64 x) (*.f64 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:

10.0ms
x
Results
AccuracySegmentsBranch
98.6%2x
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes34.0ms (0.3%)

Memory
-22.4MiB live, 55.0MiB allocated
Counts
33 → 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)))) (/.f64 #s(approx (+ (* (sqrt x) (* y -1/3)) -1/9) #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)))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (*.f64 (/.f64 #s(literal 1 binary64) x) #s(approx (+ (* (sqrt x) (* y -1/3)) -1/9) #s(literal -1/9 binary64))))
#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)))
(fma.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -1/3 binary64) #s(approx (- 1 (/ y (* 3 (sqrt x)))) #s(literal 1 binary64)))
(fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/9 binary64) #s(approx (- 1 (/ y (* 3 (sqrt x)))) #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 x #s(literal -3 binary64)))))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (+.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 binary64) (*.f64 x #s(literal 9 binary64)))))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 #s(literal 1 binary64) (/.f64 x #s(approx (+ (* (sqrt x) (* y -1/3)) -1/9) #s(literal -1/9 binary64)))))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (fma.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal -3 binary64))) #s(literal 1 binary64)))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal -3 binary64))) #s(literal 1/3 binary64) #s(literal 1 binary64)))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x #s(literal 3 binary64)) #s(literal -3 binary64)))))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x #s(literal 3 binary64)) #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 binary64) x) #s(literal 9 binary64))))
#s(approx (- (- 1 (/ 1 (* (* x 3) 3))) (/ y (* 3 (sqrt x)))) (*.f64 (/.f64 y (sqrt.f64 x)) #s(literal -1/3 binary64)))
#s(approx (- (- 1 (/ 1 (* (* x 3) 3))) (/ y (* 3 (sqrt x)))) (/.f64 y (*.f64 (sqrt.f64 x) #s(literal -3 binary64))))
#s(approx (- (- 1 (/ 1 (* (* x 3) 3))) (/ y (* 3 (sqrt x)))) (/.f64 (*.f64 y #s(literal -1/3 binary64)) (sqrt.f64 x)))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ (/ y (sqrt x)) 3)) (fma.f64 (/.f64 y (sqrt.f64 x)) #s(literal -1/3 binary64) #s(literal 1 binary64)))
#s(approx (- (- 1 (/ 1 (* (* x 3) 3))) (/ y (* 3 (sqrt x)))) (*.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (neg.f64 y)))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ (/ y (sqrt x)) 3)) (+.f64 (/.f64 (*.f64 y #s(literal -1/3 binary64)) (sqrt.f64 x)) #s(literal 1 binary64)))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ (/ y (sqrt x)) 3)) (fma.f64 (neg.f64 y) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) #s(literal 1 binary64)))
(-.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 3) 3))) #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 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64))))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 #s(approx (+ (* (sqrt x) (* y -1/3)) -1/9) (*.f64 (sqrt.f64 x) (*.f64 y #s(literal -1/3 binary64)))) x))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 #s(approx (+ (* (sqrt x) (* y -1/3)) -1/9) (*.f64 (*.f64 y (sqrt.f64 x)) #s(literal -1/3 binary64))) x))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 #s(approx (+ (* (sqrt x) (* y -1/3)) -1/9) (*.f64 (*.f64 (sqrt.f64 x) #s(literal -1/3 binary64)) y)) x))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ (/ y (sqrt x)) 3)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64))))
#s(approx (- (- 1 (/ 1 (* (* x 3) 3))) (/ y (* 3 (sqrt x)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64))))
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 #s(literal 1 binary64) (*.f64 x #s(literal -9 binary64)))))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ (/ y (sqrt x)) 3)) (fma.f64 (neg.f64 y) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) #s(literal 1 binary64)))
Calls

3 calls:

12.0ms
x
11.0ms
y
9.0ms
(-.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
96.4%3y
85.3%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))))
80.2%2x
Compiler

Compiled 22 to 16 computations (27.3% saved)

regimes9.0ms (0.1%)

Memory
16.8MiB live, 16.8MiB 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)))) (/.f64 #s(approx (+ (* (sqrt x) (* y -1/3)) -1/9) #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)))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (*.f64 (/.f64 #s(literal 1 binary64) x) #s(approx (+ (* (sqrt x) (* y -1/3)) -1/9) #s(literal -1/9 binary64))))
#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)))
(fma.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -1/3 binary64) #s(approx (- 1 (/ y (* 3 (sqrt x)))) #s(literal 1 binary64)))
(fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/9 binary64) #s(approx (- 1 (/ y (* 3 (sqrt x)))) #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 x #s(literal -3 binary64)))))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (+.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 binary64) (*.f64 x #s(literal 9 binary64)))))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 #s(literal 1 binary64) (/.f64 x #s(approx (+ (* (sqrt x) (* y -1/3)) -1/9) #s(literal -1/9 binary64)))))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (fma.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal -3 binary64))) #s(literal 1 binary64)))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal -3 binary64))) #s(literal 1/3 binary64) #s(literal 1 binary64)))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x #s(literal 3 binary64)) #s(literal -3 binary64)))))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x #s(literal 3 binary64)) #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 binary64) x) #s(literal 9 binary64))))
#s(approx (- (- 1 (/ 1 (* (* x 3) 3))) (/ y (* 3 (sqrt x)))) (*.f64 (/.f64 y (sqrt.f64 x)) #s(literal -1/3 binary64)))
#s(approx (- (- 1 (/ 1 (* (* x 3) 3))) (/ y (* 3 (sqrt x)))) (/.f64 y (*.f64 (sqrt.f64 x) #s(literal -3 binary64))))
#s(approx (- (- 1 (/ 1 (* (* x 3) 3))) (/ y (* 3 (sqrt x)))) (/.f64 (*.f64 y #s(literal -1/3 binary64)) (sqrt.f64 x)))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ (/ y (sqrt x)) 3)) (fma.f64 (/.f64 y (sqrt.f64 x)) #s(literal -1/3 binary64) #s(literal 1 binary64)))
#s(approx (- (- 1 (/ 1 (* (* x 3) 3))) (/ y (* 3 (sqrt x)))) (*.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (neg.f64 y)))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ (/ y (sqrt x)) 3)) (+.f64 (/.f64 (*.f64 y #s(literal -1/3 binary64)) (sqrt.f64 x)) #s(literal 1 binary64)))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ (/ y (sqrt x)) 3)) (fma.f64 (neg.f64 y) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) #s(literal 1 binary64)))
Outputs
#s(approx (- (- 1 (/ 1 (* x 9))) (/ (/ y (sqrt x)) 3)) (fma.f64 (neg.f64 y) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) #s(literal 1 binary64)))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal -9 binary64)))))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ (/ y (sqrt x)) 3)) (fma.f64 (neg.f64 y) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) #s(literal 1 binary64)))
Calls

1 calls:

7.0ms
y
Results
AccuracySegmentsBranch
96.3%3y
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes11.0ms (0.1%)

Memory
-22.2MiB live, 16.4MiB allocated
Counts
24 → 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)))) (/.f64 #s(approx (+ (* (sqrt x) (* y -1/3)) -1/9) #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)))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (*.f64 (/.f64 #s(literal 1 binary64) x) #s(approx (+ (* (sqrt x) (* y -1/3)) -1/9) #s(literal -1/9 binary64))))
#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)))
(fma.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -1/3 binary64) #s(approx (- 1 (/ y (* 3 (sqrt x)))) #s(literal 1 binary64)))
(fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/9 binary64) #s(approx (- 1 (/ y (* 3 (sqrt x)))) #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 x #s(literal -3 binary64)))))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (+.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 binary64) (*.f64 x #s(literal 9 binary64)))))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 #s(literal 1 binary64) (/.f64 x #s(approx (+ (* (sqrt x) (* y -1/3)) -1/9) #s(literal -1/9 binary64)))))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (fma.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal -3 binary64))) #s(literal 1 binary64)))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal -3 binary64))) #s(literal 1/3 binary64) #s(literal 1 binary64)))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x #s(literal 3 binary64)) #s(literal -3 binary64)))))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x #s(literal 3 binary64)) #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 binary64) x) #s(literal 9 binary64))))
#s(approx (- (- 1 (/ 1 (* (* x 3) 3))) (/ y (* 3 (sqrt x)))) (*.f64 (/.f64 y (sqrt.f64 x)) #s(literal -1/3 binary64)))
#s(approx (- (- 1 (/ 1 (* (* x 3) 3))) (/ y (* 3 (sqrt x)))) (/.f64 y (*.f64 (sqrt.f64 x) #s(literal -3 binary64))))
#s(approx (- (- 1 (/ 1 (* (* x 3) 3))) (/ y (* 3 (sqrt x)))) (/.f64 (*.f64 y #s(literal -1/3 binary64)) (sqrt.f64 x)))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ (/ y (sqrt x)) 3)) (fma.f64 (/.f64 y (sqrt.f64 x)) #s(literal -1/3 binary64) #s(literal 1 binary64)))
#s(approx (- (- 1 (/ 1 (* (* x 3) 3))) (/ y (* 3 (sqrt x)))) (*.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (neg.f64 y)))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ (/ y (sqrt x)) 3)) (+.f64 (/.f64 (*.f64 y #s(literal -1/3 binary64)) (sqrt.f64 x)) #s(literal 1 binary64)))
Outputs
#s(approx (- (- 1 (/ 1 (* x 9))) (/ (/ y (sqrt x)) 3)) (+.f64 (/.f64 (*.f64 y #s(literal -1/3 binary64)) (sqrt.f64 x)) #s(literal 1 binary64)))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal -9 binary64)))))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ (/ y (sqrt x)) 3)) (fma.f64 (/.f64 y (sqrt.f64 x)) #s(literal -1/3 binary64) #s(literal 1 binary64)))
Calls

1 calls:

9.0ms
y
Results
AccuracySegmentsBranch
96.3%3y
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes8.0ms (0.1%)

Memory
15.9MiB live, 15.9MiB allocated
Counts
23 → 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)))) (/.f64 #s(approx (+ (* (sqrt x) (* y -1/3)) -1/9) #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)))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (*.f64 (/.f64 #s(literal 1 binary64) x) #s(approx (+ (* (sqrt x) (* y -1/3)) -1/9) #s(literal -1/9 binary64))))
#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)))
(fma.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -1/3 binary64) #s(approx (- 1 (/ y (* 3 (sqrt x)))) #s(literal 1 binary64)))
(fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/9 binary64) #s(approx (- 1 (/ y (* 3 (sqrt x)))) #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 x #s(literal -3 binary64)))))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (+.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 binary64) (*.f64 x #s(literal 9 binary64)))))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 #s(literal 1 binary64) (/.f64 x #s(approx (+ (* (sqrt x) (* y -1/3)) -1/9) #s(literal -1/9 binary64)))))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (fma.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal -3 binary64))) #s(literal 1 binary64)))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal -3 binary64))) #s(literal 1/3 binary64) #s(literal 1 binary64)))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x #s(literal 3 binary64)) #s(literal -3 binary64)))))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x #s(literal 3 binary64)) #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 binary64) x) #s(literal 9 binary64))))
#s(approx (- (- 1 (/ 1 (* (* x 3) 3))) (/ y (* 3 (sqrt x)))) (*.f64 (/.f64 y (sqrt.f64 x)) #s(literal -1/3 binary64)))
#s(approx (- (- 1 (/ 1 (* (* x 3) 3))) (/ y (* 3 (sqrt x)))) (/.f64 y (*.f64 (sqrt.f64 x) #s(literal -3 binary64))))
#s(approx (- (- 1 (/ 1 (* (* x 3) 3))) (/ y (* 3 (sqrt x)))) (/.f64 (*.f64 y #s(literal -1/3 binary64)) (sqrt.f64 x)))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ (/ y (sqrt x)) 3)) (fma.f64 (/.f64 y (sqrt.f64 x)) #s(literal -1/3 binary64) #s(literal 1 binary64)))
#s(approx (- (- 1 (/ 1 (* (* x 3) 3))) (/ y (* 3 (sqrt x)))) (*.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (neg.f64 y)))
Outputs
#s(approx (- (- 1 (/ 1 (* x 9))) (/ (/ y (sqrt x)) 3)) (fma.f64 (/.f64 y (sqrt.f64 x)) #s(literal -1/3 binary64) #s(literal 1 binary64)))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal -9 binary64)))))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ (/ y (sqrt x)) 3)) (fma.f64 (/.f64 y (sqrt.f64 x)) #s(literal -1/3 binary64) #s(literal 1 binary64)))
Calls

1 calls:

7.0ms
y
Results
AccuracySegmentsBranch
96.3%3y
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes8.0ms (0.1%)

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

1 calls:

6.0ms
y
Results
AccuracySegmentsBranch
93.9%3y
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes9.0ms (0.1%)

Memory
-29.6MiB live, 13.6MiB allocated
Counts
19 → 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)))) (/.f64 #s(approx (+ (* (sqrt x) (* y -1/3)) -1/9) #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)))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (*.f64 (/.f64 #s(literal 1 binary64) x) #s(approx (+ (* (sqrt x) (* y -1/3)) -1/9) #s(literal -1/9 binary64))))
#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)))
(fma.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -1/3 binary64) #s(approx (- 1 (/ y (* 3 (sqrt x)))) #s(literal 1 binary64)))
(fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/9 binary64) #s(approx (- 1 (/ y (* 3 (sqrt x)))) #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 x #s(literal -3 binary64)))))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (+.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 binary64) (*.f64 x #s(literal 9 binary64)))))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 #s(literal 1 binary64) (/.f64 x #s(approx (+ (* (sqrt x) (* y -1/3)) -1/9) #s(literal -1/9 binary64)))))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (fma.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal -3 binary64))) #s(literal 1 binary64)))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal -3 binary64))) #s(literal 1/3 binary64) #s(literal 1 binary64)))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x #s(literal 3 binary64)) #s(literal -3 binary64)))))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x #s(literal 3 binary64)) #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 binary64) x) #s(literal 9 binary64))))
#s(approx (- (- 1 (/ 1 (* (* x 3) 3))) (/ y (* 3 (sqrt x)))) (*.f64 (/.f64 y (sqrt.f64 x)) #s(literal -1/3 binary64)))
Outputs
#s(approx (- (- 1 (/ 1 (* (* x 3) 3))) (/ 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 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal -9 binary64)))))
#s(approx (- (- 1 (/ 1 (* (* x 3) 3))) (/ y (* 3 (sqrt x)))) (*.f64 (/.f64 y (sqrt.f64 x)) #s(literal -1/3 binary64)))
Calls

1 calls:

8.0ms
y
Results
AccuracySegmentsBranch
93.8%3y
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes20.0ms (0.2%)

Memory
-5.1MiB live, 33.5MiB allocated
Counts
18 → 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)))) (/.f64 #s(approx (+ (* (sqrt x) (* y -1/3)) -1/9) #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)))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (*.f64 (/.f64 #s(literal 1 binary64) x) #s(approx (+ (* (sqrt x) (* y -1/3)) -1/9) #s(literal -1/9 binary64))))
#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)))
(fma.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -1/3 binary64) #s(approx (- 1 (/ y (* 3 (sqrt x)))) #s(literal 1 binary64)))
(fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/9 binary64) #s(approx (- 1 (/ y (* 3 (sqrt x)))) #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 x #s(literal -3 binary64)))))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (+.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 binary64) (*.f64 x #s(literal 9 binary64)))))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 #s(literal 1 binary64) (/.f64 x #s(approx (+ (* (sqrt x) (* y -1/3)) -1/9) #s(literal -1/9 binary64)))))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (fma.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal -3 binary64))) #s(literal 1 binary64)))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal -3 binary64))) #s(literal 1/3 binary64) #s(literal 1 binary64)))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x #s(literal 3 binary64)) #s(literal -3 binary64)))))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x #s(literal 3 binary64)) #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 binary64) x) #s(literal 9 binary64))))
Outputs
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal -9 binary64)))))
Calls

3 calls:

8.0ms
x
6.0ms
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
59.7%1x
59.7%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))))
59.7%1y
Compiler

Compiled 22 to 16 computations (27.3% saved)

regimes11.0ms (0.1%)

Memory
22.1MiB live, 22.1MiB 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)))) (/.f64 #s(approx (+ (* (sqrt x) (* y -1/3)) -1/9) #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)))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (*.f64 (/.f64 #s(literal 1 binary64) x) #s(approx (+ (* (sqrt x) (* y -1/3)) -1/9) #s(literal -1/9 binary64))))
#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)))
(fma.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -1/3 binary64) #s(approx (- 1 (/ y (* 3 (sqrt x)))) #s(literal 1 binary64)))
(fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/9 binary64) #s(approx (- 1 (/ y (* 3 (sqrt x)))) #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 x #s(literal -3 binary64)))))
Outputs
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)))
Calls

3 calls:

3.0ms
y
3.0ms
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
59.6%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))))
59.6%1x
59.6%1y
Compiler

Compiled 22 to 16 computations (27.3% saved)

regimes5.0ms (0.1%)

Memory
12.4MiB live, 12.4MiB allocated
Counts
2 → 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)))) (/.f64 #s(approx (+ (* (sqrt x) (* y -1/3)) -1/9) #s(literal -1/9 binary64)) x))
Outputs
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 #s(approx (+ (* (sqrt x) (* y -1/3)) -1/9) #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
(-.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
y
2.0ms
x
Results
AccuracySegmentsBranch
59.2%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))))
58.6%2x
36.7%4y
Compiler

Compiled 22 to 16 computations (27.3% saved)

regimes6.0ms (0.1%)

Memory
-28.2MiB live, 10.8MiB 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:

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))))
1.0ms
x
1.0ms
y
Results
AccuracySegmentsBranch
30.0%1y
30.0%1x
30.0%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 22 to 16 computations (27.3% saved)

bsearch13.0ms (0.1%)

Memory
22.8MiB live, 22.8MiB allocated
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
11.0ms
2.045583668853587e-5
0.0004065992677633908
Samples
7.0ms112×0valid
Compiler

Compiled 194 to 143 computations (26.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 5.0ms
ival-div: 1.0ms (20.8% of total)
ival-sub: 1.0ms (20.8% of total)
ival-mult: 1.0ms (20.8% of total)
ival-sqrt: 1.0ms (20.8% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch1.0ms (0%)

Memory
1.6MiB live, 1.6MiB allocated
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
1.0ms
2.045583668853587e-5
0.0004065992677633908
Compiler

Compiled 194 to 143 computations (26.3% saved)

bsearch31.0ms (0.3%)

Memory
4.2MiB live, 42.7MiB allocated
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
15.0ms
1.7773378614890491e+75
7.848474052965125e+82
13.0ms
-1.4264168173897652e+48
-1.1603241905366135e+47
Samples
18.0ms240×0valid
Compiler

Compiled 364 to 272 computations (25.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 13.0ms
ival-mult: 6.0ms (46.2% of total)
ival-div: 3.0ms (23.1% of total)
ival-sub: 2.0ms (15.4% of total)
ival-sqrt: 2.0ms (15.4% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch2.0ms (0%)

Memory
2.9MiB live, 2.9MiB allocated
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
1.0ms
1.7773378614890491e+75
7.848474052965125e+82
1.0ms
-1.4264168173897652e+48
-1.1603241905366135e+47
Compiler

Compiled 364 to 272 computations (25.3% saved)

bsearch13.0ms (0.1%)

Memory
-62.2MiB live, 3.3MiB allocated
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
13.0ms
1.7773378614890491e+75
7.848474052965125e+82
1.0ms
-1.4264168173897652e+48
-1.1603241905366135e+47
Compiler

Compiled 355 to 263 computations (25.9% saved)

bsearch2.0ms (0%)

Memory
3.1MiB live, 3.1MiB allocated
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
1.0ms
1.7773378614890491e+75
7.848474052965125e+82
1.0ms
-1.4264168173897652e+48
-1.1603241905366135e+47
Compiler

Compiled 349 to 257 computations (26.4% saved)

bsearch31.0ms (0.3%)

Memory
4.8MiB live, 42.9MiB allocated
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
20.0ms
9.523679289316655e+104
4.0099159556568795e+119
8.0ms
-1.4264168173897652e+48
-1.1603241905366135e+47
Samples
15.0ms240×0valid
Compiler

Compiled 355 to 257 computations (27.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 10.0ms
ival-div: 3.0ms (28.9% of total)
ival-mult: 3.0ms (28.9% of total)
ival-sub: 2.0ms (19.3% of total)
ival-sqrt: 2.0ms (19.3% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch2.0ms (0%)

Memory
2.2MiB live, 2.2MiB allocated
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
1.0ms
9.523679289316655e+104
4.0099159556568795e+119
1.0ms
-1.4264168173897652e+48
-1.1603241905366135e+47
Compiler

Compiled 355 to 257 computations (27.6% saved)

bsearch0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
-5430.755875005663
0.9912399870974117
Compiler

Compiled 19 to 17 computations (10.5% saved)

simplify18.0ms (0.2%)

Memory
21.2MiB live, 21.2MiB allocated
Algorithm
1×egg-herbie
Rules
82×neg-mul-1_binary64
80×unsub-neg_binary64
54×*-commutative_binary64
50×+-commutative_binary64
44×sub-neg_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0110730
1138730
2170730
3210730
4236730
5301730
6401730
7406730
Stop Event
1×saturated
Calls
Call 1
Inputs
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) (/.f64 (/.f64 y (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 1/3 binary64) (*.f64 x #s(literal 3 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 #s(literal 3 binary64) (sqrt.f64 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)))
(if (<=.f64 x #s(literal 7378697629483821/18446744073709551616 binary64)) #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 (fma.f64 (*.f64 y (sqrt.f64 x)) #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 7378697629483821/18446744073709551616 binary64)) #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 (fma.f64 (sqrt.f64 x) (*.f64 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 -360000000000000007671539654766762878089356640256 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 5700000000000000364659049282200593190706698342953735686971044061859572350976 binary64)) #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal -9 binary64))))) #s(approx (- (- 1 (/ 1 (* x 9))) (/ (/ y (sqrt x)) 3)) (fma.f64 (neg.f64 y) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) #s(literal 1 binary64)))))
(if (<=.f64 y #s(literal -360000000000000007671539654766762878089356640256 binary64)) #s(approx (- (- 1 (/ 1 (* x 9))) (/ (/ y (sqrt x)) 3)) (fma.f64 (neg.f64 y) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) #s(literal 1 binary64))) (if (<=.f64 y #s(literal 5700000000000000364659049282200593190706698342953735686971044061859572350976 binary64)) #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal -9 binary64))))) #s(approx (- (- 1 (/ 1 (* x 9))) (/ (/ y (sqrt x)) 3)) (fma.f64 (neg.f64 y) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) #s(literal 1 binary64)))))
(if (<=.f64 y #s(literal -360000000000000007671539654766762878089356640256 binary64)) #s(approx (- (- 1 (/ 1 (* x 9))) (/ (/ y (sqrt x)) 3)) (+.f64 (/.f64 (*.f64 y #s(literal -1/3 binary64)) (sqrt.f64 x)) #s(literal 1 binary64))) (if (<=.f64 y #s(literal 5700000000000000364659049282200593190706698342953735686971044061859572350976 binary64)) #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal -9 binary64))))) #s(approx (- (- 1 (/ 1 (* x 9))) (/ (/ y (sqrt x)) 3)) (fma.f64 (/.f64 y (sqrt.f64 x)) #s(literal -1/3 binary64) #s(literal 1 binary64)))))
(if (<=.f64 y #s(literal -360000000000000007671539654766762878089356640256 binary64)) #s(approx (- (- 1 (/ 1 (* x 9))) (/ (/ y (sqrt x)) 3)) (fma.f64 (/.f64 y (sqrt.f64 x)) #s(literal -1/3 binary64) #s(literal 1 binary64))) (if (<=.f64 y #s(literal 5700000000000000364659049282200593190706698342953735686971044061859572350976 binary64)) #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal -9 binary64))))) #s(approx (- (- 1 (/ 1 (* x 9))) (/ (/ y (sqrt x)) 3)) (fma.f64 (/.f64 y (sqrt.f64 x)) #s(literal -1/3 binary64) #s(literal 1 binary64)))))
(if (<=.f64 y #s(literal -1400000000000000061384180263106676296487666712576 binary64)) #s(approx (- (- 1 (/ 1 (* (* x 3) 3))) (/ y (* 3 (sqrt x)))) (/.f64 y (*.f64 (sqrt.f64 x) #s(literal -3 binary64)))) (if (<=.f64 y #s(literal 960000000000000001839048082305281986767316922174584330706691374015404151235829205722786699303853110591488 binary64)) #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal -9 binary64))))) #s(approx (- (- 1 (/ 1 (* (* x 3) 3))) (/ y (* 3 (sqrt x)))) (/.f64 y (*.f64 (sqrt.f64 x) #s(literal -3 binary64))))))
(if (<=.f64 y #s(literal -1400000000000000061384180263106676296487666712576 binary64)) #s(approx (- (- 1 (/ 1 (* (* x 3) 3))) (/ y (* 3 (sqrt x)))) (*.f64 (/.f64 y (sqrt.f64 x)) #s(literal -1/3 binary64))) (if (<=.f64 y #s(literal 960000000000000001839048082305281986767316922174584330706691374015404151235829205722786699303853110591488 binary64)) #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal -9 binary64))))) #s(approx (- (- 1 (/ 1 (* (* x 3) 3))) (/ 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 #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)))
(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 -5000 binary64)) #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 #s(approx (+ (* (sqrt x) (* y -1/3)) -1/9) #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 y (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 (/.f64 y (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 x #s(literal 9 binary64)))) (/.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64))))
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal 3 binary64)))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal 3 binary64)))) (/.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 #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 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)))
(if (<=.f64 x #s(literal 7378697629483821/18446744073709551616 binary64)) #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 (fma.f64 (*.f64 y (sqrt.f64 x)) #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 7378697629483821/18446744073709551616 binary64)) #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 (fma.f64 (*.f64 y (sqrt.f64 x)) #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 7378697629483821/18446744073709551616 binary64)) #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 (fma.f64 (sqrt.f64 x) (*.f64 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 7378697629483821/18446744073709551616 binary64)) #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 (fma.f64 (sqrt.f64 x) (*.f64 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 -360000000000000007671539654766762878089356640256 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 5700000000000000364659049282200593190706698342953735686971044061859572350976 binary64)) #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal -9 binary64))))) #s(approx (- (- 1 (/ 1 (* x 9))) (/ (/ y (sqrt x)) 3)) (fma.f64 (neg.f64 y) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) #s(literal 1 binary64)))))
(if (<=.f64 y #s(literal -360000000000000007671539654766762878089356640256 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 5700000000000000364659049282200593190706698342953735686971044061859572350976 binary64)) #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal -9 binary64))))) #s(approx (- (- 1 (/ 1 (* x 9))) (/ (/ y (sqrt x)) 3)) (fma.f64 (neg.f64 y) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) #s(literal 1 binary64)))))
(if (<=.f64 y #s(literal -360000000000000007671539654766762878089356640256 binary64)) #s(approx (- (- 1 (/ 1 (* x 9))) (/ (/ y (sqrt x)) 3)) (fma.f64 (neg.f64 y) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) #s(literal 1 binary64))) (if (<=.f64 y #s(literal 5700000000000000364659049282200593190706698342953735686971044061859572350976 binary64)) #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal -9 binary64))))) #s(approx (- (- 1 (/ 1 (* x 9))) (/ (/ y (sqrt x)) 3)) (fma.f64 (neg.f64 y) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) #s(literal 1 binary64)))))
(if (<=.f64 y #s(literal -360000000000000007671539654766762878089356640256 binary64)) #s(approx (- (- 1 (/ 1 (* x 9))) (/ (/ y (sqrt x)) 3)) (+.f64 (/.f64 (*.f64 y #s(literal -1/3 binary64)) (sqrt.f64 x)) #s(literal 1 binary64))) (if (<=.f64 y #s(literal 5700000000000000364659049282200593190706698342953735686971044061859572350976 binary64)) #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal -9 binary64))))) #s(approx (- (- 1 (/ 1 (* x 9))) (/ (/ y (sqrt x)) 3)) (fma.f64 (/.f64 y (sqrt.f64 x)) #s(literal -1/3 binary64) #s(literal 1 binary64)))))
(if (<=.f64 y #s(literal -360000000000000007671539654766762878089356640256 binary64)) #s(approx (- (- 1 (/ 1 (* x 9))) (/ (/ y (sqrt x)) 3)) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 y #s(literal -1/3 binary64)) (sqrt.f64 x)))) (if (<=.f64 y #s(literal 5700000000000000364659049282200593190706698342953735686971044061859572350976 binary64)) #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal -9 binary64))))) #s(approx (- (- 1 (/ 1 (* x 9))) (/ (/ y (sqrt x)) 3)) (fma.f64 (/.f64 y (sqrt.f64 x)) #s(literal -1/3 binary64) #s(literal 1 binary64)))))
(if (<=.f64 y #s(literal -360000000000000007671539654766762878089356640256 binary64)) #s(approx (- (- 1 (/ 1 (* x 9))) (/ (/ y (sqrt x)) 3)) (fma.f64 (/.f64 y (sqrt.f64 x)) #s(literal -1/3 binary64) #s(literal 1 binary64))) (if (<=.f64 y #s(literal 5700000000000000364659049282200593190706698342953735686971044061859572350976 binary64)) #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal -9 binary64))))) #s(approx (- (- 1 (/ 1 (* x 9))) (/ (/ y (sqrt x)) 3)) (fma.f64 (/.f64 y (sqrt.f64 x)) #s(literal -1/3 binary64) #s(literal 1 binary64)))))
(if (<=.f64 y #s(literal -1400000000000000061384180263106676296487666712576 binary64)) #s(approx (- (- 1 (/ 1 (* (* x 3) 3))) (/ y (* 3 (sqrt x)))) (/.f64 y (*.f64 (sqrt.f64 x) #s(literal -3 binary64)))) (if (<=.f64 y #s(literal 960000000000000001839048082305281986767316922174584330706691374015404151235829205722786699303853110591488 binary64)) #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal -9 binary64))))) #s(approx (- (- 1 (/ 1 (* (* x 3) 3))) (/ y (* 3 (sqrt x)))) (/.f64 y (*.f64 (sqrt.f64 x) #s(literal -3 binary64))))))
(if (<=.f64 y #s(literal -1400000000000000061384180263106676296487666712576 binary64)) #s(approx (- (- 1 (/ 1 (* (* x 3) 3))) (/ y (* 3 (sqrt x)))) (*.f64 (/.f64 y (sqrt.f64 x)) #s(literal -1/3 binary64))) (if (<=.f64 y #s(literal 960000000000000001839048082305281986767316922174584330706691374015404151235829205722786699303853110591488 binary64)) #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal -9 binary64))))) #s(approx (- (- 1 (/ 1 (* (* x 3) 3))) (/ 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 #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)))
(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 -5000 binary64)) #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 #s(approx (+ (* (sqrt x) (* y -1/3)) -1/9) #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 x #s(literal 9 binary64)))) (/.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64)))) #s(literal -5000 binary64)) #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 #s(approx (+ (* (sqrt x) (* y -1/3)) -1/9) #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)))

soundness2.3s (23.5%)

Memory
-20.0MiB live, 1 449.9MiB allocated
Rules
17 260×lower-fma.f32
17 256×lower-fma.f64
10 302×lower-fma.f32
10 298×lower-fma.f64
9 264×lower-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0993128
12683087
27693071
320643071
448723071
569333071
081702888
01239
01939
17433
278933
0836632
036173
058172
1243156
22363156
08831150
055660
1129660
2304659
3778659
41976659
53988659
65217659
76399659
87521659
97907659
08011638
050205
071203
1307178
22781178
08525168
0963415
12693358
27833346
323443346
455053346
574583346
081823183
044214
063204
1284190
22118190
08408179
Stop Event
1×fuel
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×node limit
Compiler

Compiled 1 042 to 513 computations (50.8% saved)

preprocess209.0ms (2.1%)

Memory
26.1MiB live, 221.3MiB allocated
Compiler

Compiled 762 to 198 computations (74% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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