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

Time bar (total: 6.6s)

start0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
0%0%99.9%0.1%0%0%0%1
100%50%0%0.1%0%50%0%2
Compiler

Compiled 16 to 14 computations (12.5% saved)

sample1.1s (16.2%)

Memory
46.4MiB live, 1 418.7MiB allocated
Samples
782.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 541.0ms
ival-mult: 158.0ms (29.2% of total)
ival-div: 153.0ms (28.3% of total)
ival-sqrt: 131.0ms (24.2% of total)
ival-sub: 78.0ms (14.4% of total)
exact: 12.0ms (2.2% of total)
ival-true: 6.0ms (1.1% of total)
ival-assert: 4.0ms (0.7% of total)
Bogosity

explain135.0ms (2%)

Memory
-17.4MiB live, 267.2MiB 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
43.0ms512×0valid
Compiler

Compiled 156 to 52 computations (66.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 26.0ms
ival-sub: 8.0ms (30.4% of total)
ival-div: 6.0ms (22.8% of total)
ival-mult: 6.0ms (22.8% of total)
ival-sqrt: 4.0ms (15.2% of total)
ival-true: 1.0ms (3.8% of total)
exact: 1.0ms (3.8% of total)
ival-assert: 0.0ms (0% of total)

preprocess134.0ms (2%)

Memory
14.5MiB live, 92.1MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03078
18064
223762
364862
4148562
5291162
6356462
7369562
8372862
9373262
10373262
11373662
01214
01914
13312
27112
314712
427012
550812
6102112
7132412
8143812
9145212
10145512
0145511
Stop Event
iter limit
saturated
iter limit
saturated
Calls
Call 1
Inputs
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
Outputs
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
(fma.f64 #s(literal -1/3 binary64) (/.f64 y (sqrt.f64 x)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)))
Compiler

Compiled 14 to 12 computations (14.3% saved)

eval0.0ms (0%)

Memory
0.2MiB live, 0.2MiB allocated
Compiler

Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (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 14 to 12 computations (14.3% saved)

simplify39.0ms (0.6%)

Memory
-0.9MiB live, 37.8MiB allocated
Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

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

Useful iterations: 0 (0.0ms)

IterNodesCost
01246
01946
13340
27140
314740
427040
550840
6102140
7132440
8143840
9145240
10145540
0145539
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64))))
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))
(*.f64 x #s(literal 9 binary64))
x
#s(literal 9 binary64)
(/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))
y
(*.f64 #s(literal 3 binary64) (sqrt.f64 x))
#s(literal 3 binary64)
(sqrt.f64 x)
Outputs
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
(fma.f64 #s(literal -1/3 binary64) (/.f64 y (sqrt.f64 x)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)))
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64))))
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x))
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))
(/.f64 #s(literal 1/9 binary64) x)
(*.f64 x #s(literal 9 binary64))
(*.f64 #s(literal 9 binary64) x)
x
#s(literal 9 binary64)
(/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))
(/.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64)))
y
(*.f64 #s(literal 3 binary64) (sqrt.f64 x))
(*.f64 (sqrt.f64 x) #s(literal 3 binary64))
#s(literal 3 binary64)
(sqrt.f64 x)

localize41.0ms (0.6%)

Memory
-7.9MiB live, 74.3MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0.0078125
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
accuracy0.23828125
(/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))
accuracy0.26953125
(/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))
accuracy0.26953125
(*.f64 #s(literal 3 binary64) (sqrt.f64 x))
Samples
30.0ms256×0valid
Compiler

Compiled 94 to 26 computations (72.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 11.0ms
ival-div: 3.0ms (26.4% of total)
ival-mult: 3.0ms (26.4% of total)
ival-sub: 2.0ms (17.6% of total)
ival-sqrt: 2.0ms (17.6% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series12.0ms (0.2%)

Memory
-6.9MiB live, 31.7MiB allocated
Counts
6 → 17
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
(/ 1/9 x)
(* -1 (/ (+ 1/9 (* 1/3 (* (sqrt x) y))) x))
(/ (- x (+ 1/9 (* 1/3 (* (sqrt x) y)))) x)
(/ -1/9 x)
(/ (- x 1/9) x)
(* 9 x)
(* 3 (sqrt x))
(* 1/3 (* (sqrt (/ 1 x)) y))
(- 1 (* 1/3 (* (sqrt (/ 1 x)) y)))
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))
1
(- 1 (* 1/9 (/ 1 x)))
(* -3 (* (sqrt x) (pow (sqrt -1) 2)))
(- (+ 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)))))
(* -1 (* y (- (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* -1/3 (sqrt (/ 1 x))))))
Calls

6 calls:

TimeVariablePointExpression
3.0ms
x
@-inf
((/ 1 (* x 9)) (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (- 1 (/ 1 (* x 9))) (* x 9) (* 3 (sqrt x)) (/ y (* 3 (sqrt x))))
3.0ms
y
@inf
((/ 1 (* x 9)) (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (- 1 (/ 1 (* x 9))) (* x 9) (* 3 (sqrt x)) (/ y (* 3 (sqrt x))))
2.0ms
x
@0
((/ 1 (* x 9)) (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (- 1 (/ 1 (* x 9))) (* x 9) (* 3 (sqrt x)) (/ y (* 3 (sqrt x))))
1.0ms
x
@inf
((/ 1 (* x 9)) (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (- 1 (/ 1 (* x 9))) (* x 9) (* 3 (sqrt x)) (/ y (* 3 (sqrt x))))
1.0ms
y
@0
((/ 1 (* x 9)) (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (- 1 (/ 1 (* x 9))) (* x 9) (* 3 (sqrt x)) (/ y (* 3 (sqrt x))))

simplify111.0ms (1.7%)

Memory
17.1MiB live, 177.7MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
055133
1129133
2317132
3794132
42020132
54406132
65634132
76810132
87948132
08034125
Stop Event
iter limit
node limit
Counts
17 → 17
Calls
Call 1
Inputs
(/ 1/9 x)
(* -1 (/ (+ 1/9 (* 1/3 (* (sqrt x) y))) x))
(/ (- x (+ 1/9 (* 1/3 (* (sqrt x) y)))) x)
(/ -1/9 x)
(/ (- x 1/9) x)
(* 9 x)
(* 3 (sqrt x))
(* 1/3 (* (sqrt (/ 1 x)) y))
(- 1 (* 1/3 (* (sqrt (/ 1 x)) y)))
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))
1
(- 1 (* 1/9 (/ 1 x)))
(* -3 (* (sqrt x) (pow (sqrt -1) 2)))
(- (+ 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)))))
(* -1 (* y (- (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* -1/3 (sqrt (/ 1 x))))))
Outputs
(/ 1/9 x)
(/.f64 #s(literal 1/9 binary64) x)
(* -1 (/ (+ 1/9 (* 1/3 (* (sqrt x) y))) x))
(/.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal -1/9 binary64)) x)
(/ (- x (+ 1/9 (* 1/3 (* (sqrt x) y)))) x)
(/.f64 (-.f64 x (fma.f64 (*.f64 (sqrt.f64 x) y) #s(literal 1/3 binary64) #s(literal 1/9 binary64))) x)
(/ -1/9 x)
(/.f64 #s(literal -1/9 binary64) x)
(/ (- x 1/9) x)
(/.f64 (-.f64 x #s(literal 1/9 binary64)) x)
(* 9 x)
(*.f64 #s(literal 9 binary64) x)
(* 3 (sqrt x))
(*.f64 #s(literal 3 binary64) (sqrt.f64 x))
(* 1/3 (* (sqrt (/ 1 x)) y))
(*.f64 (*.f64 #s(literal 1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(- 1 (* 1/3 (* (sqrt (/ 1 x)) y)))
(fma.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))
(fma.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 (-.f64 x #s(literal 1/9 binary64)) x))
1
#s(literal 1 binary64)
(- 1 (* 1/9 (/ 1 x)))
(/.f64 (-.f64 x #s(literal 1/9 binary64)) x)
(* -3 (* (sqrt x) (pow (sqrt -1) 2)))
(*.f64 #s(literal 3 binary64) (sqrt.f64 x))
(- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))
(fma.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 (-.f64 x #s(literal 1/9 binary64)) x))
(* -1/3 (* (sqrt (/ 1 x)) y))
(*.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(* y (- (/ 1 y) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/9 (* x y)))))
(fma.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 (-.f64 x #s(literal 1/9 binary64)) x))
(* -1 (* y (- (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* -1/3 (sqrt (/ 1 x))))))
(fma.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 (-.f64 x #s(literal 1/9 binary64)) x))

rewrite167.0ms (2.5%)

Memory
-3.2MiB live, 313.8MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01239
01939
17433
279533
0838332
Stop Event
iter limit
node limit
iter limit
Counts
6 → 428
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64))))
(*.f64 x #s(literal 9 binary64))
(*.f64 #s(literal 3 binary64) (sqrt.f64 x))
(/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))
Outputs
(*.f64 (*.f64 #s(literal 1 binary64) (pow.f64 (*.f64 #s(literal 9 binary64) x) #s(literal -1/2 binary64))) (pow.f64 (*.f64 #s(literal 9 binary64) x) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (*.f64 #s(literal 9 binary64) x) #s(literal -1/2 binary64)) (*.f64 (pow.f64 (*.f64 #s(literal 9 binary64) x) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (*.f64 #s(literal 9 binary64) x) #s(literal -1/2 binary64)) (pow.f64 (*.f64 #s(literal 9 binary64) x) #s(literal -1/2 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1/9 binary64))
(*.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal -1 binary64)))
(*.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1/9 binary64))
(*.f64 (/.f64 #s(literal -1/9 binary64) x) #s(literal -1 binary64))
(*.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/9 binary64) x))
(*.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x))
(pow.f64 (pow.f64 (*.f64 #s(literal 9 binary64) x) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal -9 binary64) x) #s(literal 2 binary64)) #s(literal -1/2 binary64))
(pow.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) #s(literal 2 binary64))
(pow.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) #s(literal -2 binary64))
(pow.f64 (*.f64 #s(literal 9 binary64) x) #s(literal -1 binary64))
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)) #s(literal -9 binary64))
(/.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) (sqrt.f64 x))
(/.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) #s(literal 3 binary64))
(/.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) #s(literal 1/3 binary64)) (sqrt.f64 x))
(/.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (pow.f64 x #s(literal -1/2 binary64))) #s(literal 3 binary64))
(/.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) #s(literal -1 binary64)) (*.f64 #s(literal -3 binary64) (sqrt.f64 x)))
(/.f64 #s(literal -1/9 binary64) (neg.f64 x))
(/.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) (*.f64 #s(literal -3 binary64) (sqrt.f64 x)))
(/.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -9 binary64))
(/.f64 #s(literal 1/9 binary64) x)
(/.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 9 binary64))
(/.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (*.f64 (sqrt.f64 x) #s(literal 3 binary64)))
(/.f64 #s(literal -1 binary64) (*.f64 #s(literal -9 binary64) x))
(/.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (*.f64 #s(literal 9 binary64) x))
(neg.f64 (/.f64 #s(literal -1/9 binary64) x))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal -1/9 binary64) x))
(exp.f64 (log.f64 (/.f64 #s(literal 1/9 binary64) x)))
(*.f64 (/.f64 (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)) #s(literal 2 binary64)) (*.f64 (*.f64 (/.f64 #s(literal 1/9 binary64) x) y) y)) (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)) #s(literal 3 binary64)) (pow.f64 (/.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) #s(literal 3 binary64)))) (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)) #s(literal 2 binary64)) (*.f64 (/.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) (-.f64 (/.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x))))))
(*.f64 (/.f64 (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)) #s(literal 2 binary64)) (*.f64 (*.f64 (/.f64 #s(literal 1/9 binary64) x) y) y)) (fma.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 2 binary64))) (sqrt.f64 x) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)) y) #s(literal 1/3 binary64)))) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)) (sqrt.f64 x)))
(*.f64 (/.f64 (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)) #s(literal 2 binary64)) (*.f64 (*.f64 (/.f64 #s(literal 1/9 binary64) x) y) y)) (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 2 binary64))) #s(literal -3 binary64)) (sqrt.f64 x) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)) (neg.f64 y)))) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)) #s(literal -3 binary64)) (sqrt.f64 x)))
(*.f64 (/.f64 (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)) #s(literal 2 binary64)) (*.f64 (*.f64 (/.f64 #s(literal 1/9 binary64) x) y) y)) (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 2 binary64))) #s(literal 3 binary64)) (sqrt.f64 x) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)) y))) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)) #s(literal 3 binary64)) (sqrt.f64 x)))
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(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (*.f64 #s(literal 1/3 binary64) y))
(*.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) (neg.f64 y))
(*.f64 (*.f64 y #s(literal -1/3 binary64)) (/.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 x))))
(*.f64 (*.f64 #s(literal 1/3 binary64) y) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (*.f64 #s(literal 1/3 binary64) y) (pow.f64 x #s(literal -1/2 binary64)))
(*.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (pow.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) y)
(*.f64 (neg.f64 y) (*.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) #s(literal 1 binary64)))
(*.f64 (neg.f64 y) (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)))
(*.f64 #s(literal -1 binary64) (/.f64 y (*.f64 #s(literal -3 binary64) (sqrt.f64 x))))
(*.f64 (/.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) #s(literal 1 binary64))
(*.f64 y (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)))
(*.f64 #s(literal 1 binary64) (/.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64))))
(pow.f64 (/.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) y) #s(literal -1 binary64))
(/.f64 (*.f64 (/.f64 y (sqrt.f64 x)) #s(literal 1 binary64)) #s(literal 3 binary64))
(/.f64 (*.f64 (*.f64 y #s(literal -1/3 binary64)) #s(literal 1 binary64)) (neg.f64 (sqrt.f64 x)))
(/.f64 (*.f64 #s(literal 1 binary64) (/.f64 y (sqrt.f64 x))) #s(literal 3 binary64))
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 y #s(literal -1/3 binary64))) (neg.f64 (sqrt.f64 x)))
(/.f64 (*.f64 (neg.f64 y) (pow.f64 x #s(literal -1/2 binary64))) #s(literal -3 binary64))
(/.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) y) #s(literal 3 binary64))
(/.f64 (*.f64 y #s(literal -1 binary64)) (*.f64 #s(literal -3 binary64) (sqrt.f64 x)))
(/.f64 (/.f64 (neg.f64 y) #s(literal -1 binary64)) (*.f64 (sqrt.f64 x) #s(literal 3 binary64)))
(/.f64 (/.f64 (*.f64 #s(literal 1/3 binary64) y) (pow.f64 x #s(literal 1/4 binary64))) (pow.f64 x #s(literal 1/4 binary64)))
(/.f64 (/.f64 (neg.f64 y) (sqrt.f64 x)) #s(literal -3 binary64))
(/.f64 (neg.f64 (/.f64 y (sqrt.f64 x))) #s(literal -3 binary64))
(/.f64 (/.f64 y (sqrt.f64 x)) #s(literal 3 binary64))
(/.f64 #s(literal 1/3 binary64) (/.f64 (sqrt.f64 x) y))
(/.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 #s(literal 3 binary64) y))
(/.f64 (*.f64 y #s(literal -1/3 binary64)) (neg.f64 (sqrt.f64 x)))
(/.f64 (*.f64 #s(literal 1/3 binary64) y) (neg.f64 (neg.f64 (sqrt.f64 x))))
(/.f64 (*.f64 #s(literal 1/3 binary64) y) (sqrt.f64 x))
(/.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (pow.f64 y #s(literal -1 binary64)))
(/.f64 (neg.f64 y) (*.f64 #s(literal -3 binary64) (sqrt.f64 x)))
(/.f64 #s(literal -1 binary64) (/.f64 (*.f64 #s(literal -3 binary64) (sqrt.f64 x)) y))
(/.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) (/.f64 y (sqrt.f64 x))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) y))
(neg.f64 (*.f64 (/.f64 y (*.f64 #s(literal -3 binary64) (sqrt.f64 x))) #s(literal 1 binary64)))
(neg.f64 (/.f64 y (*.f64 #s(literal -3 binary64) (sqrt.f64 x))))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 #s(literal -3 binary64) (sqrt.f64 x))) (/.f64 y (*.f64 #s(literal -3 binary64) (sqrt.f64 x))))
(-.f64 #s(literal 0 binary64) (/.f64 y (*.f64 #s(literal -3 binary64) (sqrt.f64 x))))
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) y)) #s(literal -1 binary64)))

eval54.0ms (0.8%)

Memory
2.3MiB live, 121.5MiB allocated
Compiler

Compiled 12 806 to 1 315 computations (89.7% saved)

prune18.0ms (0.3%)

Memory
9.7MiB live, 49.1MiB allocated
Pruning

18 alts after pruning (17 fresh and 1 done)

PrunedKeptTotal
New42317440
Fresh000
Picked011
Done000
Total42318441
Accuracy
100.0%
Counts
441 → 18
Alt Table
Click to see full alt table
StatusAccuracyProgram
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)))
99.7%
(fma.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) (*.f64 #s(literal 1/3 binary64) y) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)))
99.3%
(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)))))
60.5%
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y (/.f64 #s(literal -1/9 binary64) x)) (fma.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y (/.f64 #s(literal -1/9 binary64) x)))) (-.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y (/.f64 #s(literal -1/9 binary64) x))))
99.6%
(-.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (*.f64 #s(literal 9 binary64) x) #s(literal -1/2 binary64)) #s(literal 2 binary64))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
99.5%
(-.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) #s(literal -2 binary64))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
99.3%
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -9 binary64))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
99.5%
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) #s(literal 3 binary64))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
99.5%
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) #s(literal 3 binary64)) (sqrt.f64 x)))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
99.6%
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 3 binary64) x) #s(literal 3 binary64)))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
99.7%
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 #s(literal 3 binary64) y)))
99.7%
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
70.3%
(-.f64 #s(approx (- 1 (/ 1 (* x 9))) (/.f64 #s(literal -1/9 binary64) x)) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
66.4%
(-.f64 #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
66.5%
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (fma.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)))
63.6%
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal -1/9 binary64)) x))
92.9%
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 (-.f64 x (fma.f64 (*.f64 (sqrt.f64 x) y) #s(literal 1/3 binary64) #s(literal 1/9 binary64))) x))
38.7%
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (*.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
Compiler

Compiled 646 to 504 computations (22% saved)

simplify125.0ms (1.9%)

Memory
-8.0MiB live, 143.4MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(fma.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y (/.f64 #s(literal -1/9 binary64) x))
cost-diff0
(*.f64 (fma.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y (/.f64 #s(literal -1/9 binary64) x)) (fma.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y (/.f64 #s(literal -1/9 binary64) x)))
cost-diff0
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y (/.f64 #s(literal -1/9 binary64) x)) (fma.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y (/.f64 #s(literal -1/9 binary64) x)))) (-.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y (/.f64 #s(literal -1/9 binary64) x))))
cost-diff128
(-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y (/.f64 #s(literal -1/9 binary64) x)) (fma.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y (/.f64 #s(literal -1/9 binary64) x))))
cost-diff0
(*.f64 #s(literal 1/3 binary64) y)
cost-diff0
(sqrt.f64 x)
cost-diff0
(/.f64 #s(literal -1 binary64) (sqrt.f64 x))
cost-diff320
(fma.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) (*.f64 #s(literal 1/3 binary64) y) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)))
cost-diff0
(fma.f64 (*.f64 (sqrt.f64 x) y) #s(literal 1/3 binary64) #s(literal 1/9 binary64))
cost-diff0
(-.f64 x (fma.f64 (*.f64 (sqrt.f64 x) y) #s(literal 1/3 binary64) #s(literal 1/9 binary64)))
cost-diff0
(/.f64 (-.f64 x (fma.f64 (*.f64 (sqrt.f64 x) 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 (-.f64 x (fma.f64 (*.f64 (sqrt.f64 x) y) #s(literal 1/3 binary64) #s(literal 1/9 binary64))) x))
cost-diff0
(*.f64 #s(literal 3 binary64) (sqrt.f64 x))
cost-diff0
(/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))
cost-diff0
#s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64))
cost-diff128
(-.f64 #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 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 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 #s(literal 3 binary64) y)))
cost-diff320
(/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))
cost-diff384
(/.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 #s(literal 3 binary64) y))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
047296
078300
1143282
2357282
31175281
44933281
08180277
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 #s(literal 3 binary64) y)))
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64))))
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))
(*.f64 x #s(literal 9 binary64))
x
#s(literal 9 binary64)
(/.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 #s(literal 3 binary64) y))
(pow.f64 x #s(literal -1/2 binary64))
#s(literal -1/2 binary64)
(/.f64 #s(literal 3 binary64) y)
#s(literal 3 binary64)
y
(-.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))) #s(literal 1 binary64))
#s(literal 1 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)
x
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 (-.f64 x (fma.f64 (*.f64 (sqrt.f64 x) y) #s(literal 1/3 binary64) #s(literal 1/9 binary64))) x))
(/.f64 (-.f64 x (fma.f64 (*.f64 (sqrt.f64 x) y) #s(literal 1/3 binary64) #s(literal 1/9 binary64))) x)
(-.f64 x (fma.f64 (*.f64 (sqrt.f64 x) y) #s(literal 1/3 binary64) #s(literal 1/9 binary64)))
x
(fma.f64 (*.f64 (sqrt.f64 x) y) #s(literal 1/3 binary64) #s(literal 1/9 binary64))
(*.f64 (sqrt.f64 x) y)
(sqrt.f64 x)
y
#s(literal 1/3 binary64)
#s(literal 1/9 binary64)
(fma.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) (*.f64 #s(literal 1/3 binary64) y) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)))
(/.f64 #s(literal -1 binary64) (sqrt.f64 x))
#s(literal -1 binary64)
(sqrt.f64 x)
x
(*.f64 #s(literal 1/3 binary64) y)
#s(literal 1/3 binary64)
y
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x))
#s(literal 1 binary64)
(/.f64 #s(literal 1/9 binary64) x)
#s(literal 1/9 binary64)
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y (/.f64 #s(literal -1/9 binary64) x)) (fma.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y (/.f64 #s(literal -1/9 binary64) x)))) (-.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y (/.f64 #s(literal -1/9 binary64) x))))
(-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y (/.f64 #s(literal -1/9 binary64) x)) (fma.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y (/.f64 #s(literal -1/9 binary64) x))))
#s(literal 1 binary64)
(*.f64 (fma.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y (/.f64 #s(literal -1/9 binary64) x)) (fma.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y (/.f64 #s(literal -1/9 binary64) x)))
(fma.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y (/.f64 #s(literal -1/9 binary64) x))
(/.f64 #s(literal -1/3 binary64) (sqrt.f64 x))
#s(literal -1/3 binary64)
(sqrt.f64 x)
x
y
(/.f64 #s(literal -1/9 binary64) x)
#s(literal -1/9 binary64)
(-.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y (/.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 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 #s(literal 3 binary64) y)))
(fma.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal -3 binary64)) y (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)))
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64))))
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x))
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))
(/.f64 #s(literal 1/9 binary64) x)
(*.f64 x #s(literal 9 binary64))
(*.f64 #s(literal 9 binary64) x)
x
#s(literal 9 binary64)
(/.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 #s(literal 3 binary64) y))
(*.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 3 binary64)) y)
(pow.f64 x #s(literal -1/2 binary64))
#s(literal -1/2 binary64)
(/.f64 #s(literal 3 binary64) y)
#s(literal 3 binary64)
y
(-.f64 #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
(fma.f64 (/.f64 y (sqrt.f64 x)) #s(literal -1/3 binary64) #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)))
#s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64))
#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)
x
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 (-.f64 x (fma.f64 (*.f64 (sqrt.f64 x) y) #s(literal 1/3 binary64) #s(literal 1/9 binary64))) x))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 (-.f64 x (fma.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal 1/9 binary64))) x))
(/.f64 (-.f64 x (fma.f64 (*.f64 (sqrt.f64 x) y) #s(literal 1/3 binary64) #s(literal 1/9 binary64))) x)
(/.f64 (-.f64 x (fma.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal 1/9 binary64))) x)
(-.f64 x (fma.f64 (*.f64 (sqrt.f64 x) y) #s(literal 1/3 binary64) #s(literal 1/9 binary64)))
(-.f64 x (fma.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal 1/9 binary64)))
x
(fma.f64 (*.f64 (sqrt.f64 x) y) #s(literal 1/3 binary64) #s(literal 1/9 binary64))
(fma.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal 1/9 binary64))
(*.f64 (sqrt.f64 x) y)
(sqrt.f64 x)
y
#s(literal 1/3 binary64)
#s(literal 1/9 binary64)
(fma.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) (*.f64 #s(literal 1/3 binary64) y) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)))
(fma.f64 (/.f64 y (sqrt.f64 x)) #s(literal -1/3 binary64) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)))
(/.f64 #s(literal -1 binary64) (sqrt.f64 x))
#s(literal -1 binary64)
(sqrt.f64 x)
x
(*.f64 #s(literal 1/3 binary64) y)
#s(literal 1/3 binary64)
y
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x))
#s(literal 1 binary64)
(/.f64 #s(literal 1/9 binary64) x)
#s(literal 1/9 binary64)
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y (/.f64 #s(literal -1/9 binary64) x)) (fma.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y (/.f64 #s(literal -1/9 binary64) x)))) (-.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y (/.f64 #s(literal -1/9 binary64) x))))
(/.f64 (fma.f64 (fma.f64 (/.f64 y (sqrt.f64 x)) #s(literal 1/3 binary64) (/.f64 #s(literal 1/9 binary64) x)) (fma.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y (/.f64 #s(literal -1/9 binary64) x)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y (/.f64 #s(literal -1/9 binary64) x))))
(-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y (/.f64 #s(literal -1/9 binary64) x)) (fma.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y (/.f64 #s(literal -1/9 binary64) x))))
(fma.f64 (fma.f64 (/.f64 y (sqrt.f64 x)) #s(literal 1/3 binary64) (/.f64 #s(literal 1/9 binary64) x)) (fma.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y (/.f64 #s(literal -1/9 binary64) x)) #s(literal 1 binary64))
#s(literal 1 binary64)
(*.f64 (fma.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y (/.f64 #s(literal -1/9 binary64) x)) (fma.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y (/.f64 #s(literal -1/9 binary64) x)))
(fma.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y (/.f64 #s(literal -1/9 binary64) x))
(/.f64 #s(literal -1/3 binary64) (sqrt.f64 x))
#s(literal -1/3 binary64)
(sqrt.f64 x)
x
y
(/.f64 #s(literal -1/9 binary64) x)
#s(literal -1/9 binary64)
(-.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y (/.f64 #s(literal -1/9 binary64) x)))

localize143.0ms (2.2%)

Memory
9.5MiB live, 205.1MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.236660009768442
(*.f64 (fma.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y (/.f64 #s(literal -1/9 binary64) x)) (fma.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y (/.f64 #s(literal -1/9 binary64) x)))
accuracy0.296875
(/.f64 #s(literal -1/9 binary64) x)
accuracy0.38671875
(/.f64 #s(literal -1/3 binary64) (sqrt.f64 x))
accuracy25.001677533942722
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y (/.f64 #s(literal -1/9 binary64) x)) (fma.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y (/.f64 #s(literal -1/9 binary64) x)))) (-.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y (/.f64 #s(literal -1/9 binary64) x))))
accuracy0.10384750976844201
(fma.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) (*.f64 #s(literal 1/3 binary64) y) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)))
accuracy0.21875
(/.f64 #s(literal -1 binary64) (sqrt.f64 x))
accuracy0.296875
(/.f64 #s(literal 1/9 binary64) x)
accuracy0.34765625
(*.f64 #s(literal 1/3 binary64) y)
accuracy0.015625
(-.f64 x (fma.f64 (*.f64 (sqrt.f64 x) y) #s(literal 1/3 binary64) #s(literal 1/9 binary64)))
accuracy0.2109375
(*.f64 (sqrt.f64 x) y)
accuracy0.36015315429836026
(fma.f64 (*.f64 (sqrt.f64 x) y) #s(literal 1/3 binary64) #s(literal 1/9 binary64))
accuracy4.243482979580325
(/.f64 (-.f64 x (fma.f64 (*.f64 (sqrt.f64 x) y) #s(literal 1/3 binary64) #s(literal 1/9 binary64))) x)
accuracy0.0078125
(-.f64 #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
accuracy0.23828125
(/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))
accuracy0.26953125
(*.f64 #s(literal 3 binary64) (sqrt.f64 x))
accuracy34.01229761791249
#s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64))
accuracy0.0
(*.f64 x #s(literal 9 binary64))
accuracy0.0078125
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 #s(literal 3 binary64) y)))
accuracy0.26953125
(/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))
accuracy0.3203125
(/.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 #s(literal 3 binary64) y))
Samples
106.0ms256×0valid
Compiler

Compiled 591 to 93 computations (84.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 67.0ms
ival-div: 19.0ms (28.2% of total)
ival-mult: 12.0ms (17.8% of total)
const: 12.0ms (17.8% of total)
ival-sub: 8.0ms (11.9% of total)
ival-sqrt: 6.0ms (8.9% of total)
ival-pow: 6.0ms (8.9% of total)
ival-add: 3.0ms (4.5% of total)
exact: 1.0ms (1.5% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series64.0ms (1%)

Memory
-27.0MiB live, 76.7MiB allocated
Counts
25 → 107
Calls
Call 1
Inputs
(/.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 #s(literal 3 binary64) y))
(/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 #s(literal 3 binary64) y)))
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64))))
(-.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))) #s(literal 1 binary64))
(/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))
(*.f64 #s(literal 3 binary64) (sqrt.f64 x))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 (-.f64 x (fma.f64 (*.f64 (sqrt.f64 x) y) #s(literal 1/3 binary64) #s(literal 1/9 binary64))) x))
(/.f64 (-.f64 x (fma.f64 (*.f64 (sqrt.f64 x) y) #s(literal 1/3 binary64) #s(literal 1/9 binary64))) x)
(-.f64 x (fma.f64 (*.f64 (sqrt.f64 x) y) #s(literal 1/3 binary64) #s(literal 1/9 binary64)))
(fma.f64 (*.f64 (sqrt.f64 x) y) #s(literal 1/3 binary64) #s(literal 1/9 binary64))
(fma.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) (*.f64 #s(literal 1/3 binary64) y) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)))
(/.f64 #s(literal -1 binary64) (sqrt.f64 x))
(sqrt.f64 x)
(*.f64 #s(literal 1/3 binary64) y)
(-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y (/.f64 #s(literal -1/9 binary64) x)) (fma.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y (/.f64 #s(literal -1/9 binary64) x))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y (/.f64 #s(literal -1/9 binary64) x)) (fma.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y (/.f64 #s(literal -1/9 binary64) x)))) (-.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y (/.f64 #s(literal -1/9 binary64) x))))
(*.f64 (fma.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y (/.f64 #s(literal -1/9 binary64) x)) (fma.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y (/.f64 #s(literal -1/9 binary64) x)))
(fma.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y (/.f64 #s(literal -1/9 binary64) x))
(*.f64 x #s(literal 9 binary64))
(*.f64 (sqrt.f64 x) y)
(/.f64 #s(literal 1/9 binary64) x)
(/.f64 #s(literal -1/3 binary64) (sqrt.f64 x))
(/.f64 #s(literal -1/9 binary64) x)
Outputs
(* 1/3 (* (sqrt (/ 1 x)) y))
(/ 1/9 x)
(* -1 (/ (+ 1/9 (* 1/3 (* (sqrt x) y))) x))
(/ (- x (+ 1/9 (* 1/3 (* (sqrt x) y)))) x)
(/ -1/9 x)
(/ (- x 1/9) x)
(* 3 (sqrt x))
(/ (+ x (* -1 (+ 1/9 (* 1/3 (* (sqrt x) y))))) x)
(* -1 (+ 1/9 (* 1/3 (* (sqrt x) y))))
(- x (+ 1/9 (* 1/3 (* (sqrt x) y))))
(+ 1/9 (* 1/3 (* (sqrt x) y)))
(/ (- (* -1/3 (* (sqrt x) y)) 1/9) x)
(/ (- (+ x (* -1/3 (* (sqrt x) y))) 1/9) x)
(* -1 (sqrt (/ 1 x)))
(sqrt x)
(* -1 (/ (pow (- (* -1/3 (* (sqrt x) y)) 1/9) 2) (pow x 2)))
(/ (- (pow x 2) (pow (- (* -1/3 (* (sqrt x) y)) 1/9) 2)) (pow x 2))
(* -1 (/ (pow (- (* -1/3 (* (sqrt x) y)) 1/9) 2) (* x (- 1/9 (* -1/3 (* (sqrt x) y))))))
(/ (+ (* -1 (/ (pow (- (* -1/3 (* (sqrt x) y)) 1/9) 2) (- 1/9 (* -1/3 (* (sqrt x) y))))) (/ (* x (pow (- (* -1/3 (* (sqrt x) y)) 1/9) 2)) (pow (- 1/9 (* -1/3 (* (sqrt x) y))) 2))) x)
(/ (+ (* -1 (/ (pow (- (* -1/3 (* (sqrt x) y)) 1/9) 2) (- 1/9 (* -1/3 (* (sqrt x) y))))) (* x (- (* x (- (/ 1 (- 1/9 (* -1/3 (* (sqrt x) y)))) (/ (pow (- (* -1/3 (* (sqrt x) y)) 1/9) 2) (pow (- 1/9 (* -1/3 (* (sqrt x) y))) 3)))) (* -1 (/ (pow (- (* -1/3 (* (sqrt x) y)) 1/9) 2) (pow (- 1/9 (* -1/3 (* (sqrt x) y))) 2)))))) x)
(/ (+ (* -1 (/ (pow (- (* -1/3 (* (sqrt x) y)) 1/9) 2) (- 1/9 (* -1/3 (* (sqrt x) y))))) (* x (- (* x (- (+ (* x (- (/ (pow (- (* -1/3 (* (sqrt x) y)) 1/9) 2) (pow (- 1/9 (* -1/3 (* (sqrt x) y))) 4)) (/ 1 (pow (- 1/9 (* -1/3 (* (sqrt x) y))) 2)))) (/ 1 (- 1/9 (* -1/3 (* (sqrt x) y))))) (/ (pow (- (* -1/3 (* (sqrt x) y)) 1/9) 2) (pow (- 1/9 (* -1/3 (* (sqrt x) y))) 3)))) (* -1 (/ (pow (- (* -1/3 (* (sqrt x) y)) 1/9) 2) (pow (- 1/9 (* -1/3 (* (sqrt x) y))) 2)))))) x)
(/ (pow (- (* -1/3 (* (sqrt x) y)) 1/9) 2) (pow x 2))
(* 9 x)
(* (sqrt x) y)
(* -1/3 (sqrt (/ 1 x)))
(- 1 (* 1/3 (* (sqrt (/ 1 x)) y)))
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))
1
(- 1 (* 1/9 (/ 1 x)))
(* x (- 1 (* 1/3 (* (sqrt (/ 1 x)) y))))
(* x (- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x)))))
(* 1/3 (* (sqrt x) y))
(* x (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))
(+ 1 (* -1/3 (* (sqrt (/ 1 x)) y)))
(- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))
(- 1 (* 1/9 (/ (pow y 2) x)))
(- (+ 1 (* -2/27 (* (sqrt (/ 1 (pow x 3))) y))) (* 1/9 (/ (pow y 2) x)))
(- (+ 1 (* -1 (/ (+ (* 2/27 (* (sqrt (/ 1 x)) y)) (* 1/81 (/ 1 x))) x))) (* 1/9 (/ (pow y 2) x)))
(/ (- 1 (* 1/9 (/ (pow y 2) x))) (- 1 (* -1/3 (* (sqrt (/ 1 x)) y))))
(- (+ (* -2/27 (* (sqrt (/ 1 (pow x 3))) (/ y (- 1 (* -1/3 (* (sqrt (/ 1 x)) y)))))) (/ 1 (- 1 (* -1/3 (* (sqrt (/ 1 x)) y))))) (+ (* 1/9 (/ (- 1 (* 1/9 (/ (pow y 2) x))) (* x (pow (- 1 (* -1/3 (* (sqrt (/ 1 x)) y))) 2)))) (* 1/9 (/ (pow y 2) (* x (- 1 (* -1/3 (* (sqrt (/ 1 x)) y))))))))
(- (+ (* -1 (/ (+ (* 1/81 (/ 1 (- 1 (* -1/3 (* (sqrt (/ 1 x)) y))))) (* 1/9 (/ (- (* -2/27 (* (sqrt (/ 1 x)) (/ y (- 1 (* -1/3 (* (sqrt (/ 1 x)) y)))))) (* 1/9 (/ (- 1 (* 1/9 (/ (pow y 2) x))) (pow (- 1 (* -1/3 (* (sqrt (/ 1 x)) y))) 2)))) (- 1 (* -1/3 (* (sqrt (/ 1 x)) y)))))) (pow x 2))) (+ (* -2/27 (* (sqrt (/ 1 (pow x 3))) (/ y (- 1 (* -1/3 (* (sqrt (/ 1 x)) y)))))) (/ 1 (- 1 (* -1/3 (* (sqrt (/ 1 x)) y)))))) (+ (* 1/9 (/ (- 1 (* 1/9 (/ (pow y 2) x))) (* x (pow (- 1 (* -1/3 (* (sqrt (/ 1 x)) y))) 2)))) (* 1/9 (/ (pow y 2) (* x (- 1 (* -1/3 (* (sqrt (/ 1 x)) y))))))))
(- (+ (* -2/27 (* (sqrt (/ 1 (pow x 3))) (/ y (- 1 (* -1/3 (* (sqrt (/ 1 x)) y)))))) (+ (* 1/9 (/ (+ (* 1/9 (/ (- (* -2/27 (* (sqrt (/ 1 x)) (/ y (- 1 (* -1/3 (* (sqrt (/ 1 x)) y)))))) (* 1/9 (/ (- 1 (* 1/9 (/ (pow y 2) x))) (pow (- 1 (* -1/3 (* (sqrt (/ 1 x)) y))) 2)))) (- 1 (* -1/3 (* (sqrt (/ 1 x)) y))))) (* 1/81 (/ 1 (- 1 (* -1/3 (* (sqrt (/ 1 x)) y)))))) (* (pow x 3) (- 1 (* -1/3 (* (sqrt (/ 1 x)) y)))))) (/ 1 (- 1 (* -1/3 (* (sqrt (/ 1 x)) y)))))) (+ (* 1/9 (/ (- 1 (* 1/9 (/ (pow y 2) x))) (* x (pow (- 1 (* -1/3 (* (sqrt (/ 1 x)) y))) 2)))) (+ (* 1/9 (/ (- (* -2/27 (* (sqrt (/ 1 x)) (/ y (- 1 (* -1/3 (* (sqrt (/ 1 x)) y)))))) (* 1/9 (/ (- 1 (* 1/9 (/ (pow y 2) x))) (pow (- 1 (* -1/3 (* (sqrt (/ 1 x)) y))) 2)))) (* (pow x 2) (- 1 (* -1/3 (* (sqrt (/ 1 x)) y)))))) (+ (* 1/9 (/ (pow y 2) (* x (- 1 (* -1/3 (* (sqrt (/ 1 x)) y)))))) (* 1/81 (/ 1 (* (pow x 2) (- 1 (* -1/3 (* (sqrt (/ 1 x)) y))))))))))
(* 1/9 (/ (pow y 2) x))
(+ (* 2/27 (* (sqrt (/ 1 (pow x 3))) y)) (* 1/9 (/ (pow y 2) x)))
(+ (* 2/27 (* (sqrt (/ 1 (pow x 3))) y)) (+ (* 1/9 (/ (pow y 2) x)) (/ 1/81 (pow x 2))))
(* -1/3 (* (sqrt (/ 1 x)) y))
(- (* -1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x)))
(* 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)))) (* 1/9 (/ 1 x))))
(* -3 (* (sqrt x) (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))))) (* 1/9 (/ 1 x)))
(* x (+ 1 (* 1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))))
(* -1 (* x (- (* 1/9 (/ 1 x)) (+ 1 (* 1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))))))
(* -1/3 (* (sqrt x) (* y (pow (sqrt -1) 2))))
(* -1 (* x (- (* 1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (* 1/9 (/ 1 x)))))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(- 1 (* -1/9 (/ (pow y 2) (* x (pow (sqrt -1) 2)))))
(- (+ 1 (* -2/27 (* (sqrt (/ 1 (pow x 3))) y))) (* -1/9 (/ (pow y 2) (* x (pow (sqrt -1) 2)))))
(- (+ 1 (* -1 (/ (- (* 1/81 (/ 1 x)) (* -2/27 (* (sqrt (/ 1 x)) y))) x))) (* -1/9 (/ (pow y 2) (* x (pow (sqrt -1) 2)))))
(/ (- 1 (* -1/9 (/ (pow y 2) (* x (pow (sqrt -1) 2))))) (- 1 (* -1/3 (* (sqrt (/ 1 x)) y))))
(- (+ (* -1 (/ (- (* 2/27 (* (sqrt (/ 1 x)) (/ y (- 1 (* -1/3 (* (sqrt (/ 1 x)) y)))))) (* -1/9 (/ (- 1 (* -1/9 (/ (pow y 2) (* x (pow (sqrt -1) 2))))) (pow (- 1 (* -1/3 (* (sqrt (/ 1 x)) y))) 2)))) x)) (/ 1 (- 1 (* -1/3 (* (sqrt (/ 1 x)) y))))) (* -1/9 (/ (pow y 2) (* x (* (pow (sqrt -1) 2) (- 1 (* -1/3 (* (sqrt (/ 1 x)) y))))))))
(- (+ (* -1 (/ (- (+ (* -1/9 (/ (- (* 2/27 (* (sqrt (/ 1 x)) (/ y (- 1 (* -1/3 (* (sqrt (/ 1 x)) y)))))) (* -1/9 (/ (- 1 (* -1/9 (/ (pow y 2) (* x (pow (sqrt -1) 2))))) (pow (- 1 (* -1/3 (* (sqrt (/ 1 x)) y))) 2)))) (* x (- 1 (* -1/3 (* (sqrt (/ 1 x)) y)))))) (+ (* 2/27 (* (sqrt (/ 1 x)) (/ y (- 1 (* -1/3 (* (sqrt (/ 1 x)) y)))))) (/ 1/81 (* x (- 1 (* -1/3 (* (sqrt (/ 1 x)) y))))))) (* -1/9 (/ (- 1 (* -1/9 (/ (pow y 2) (* x (pow (sqrt -1) 2))))) (pow (- 1 (* -1/3 (* (sqrt (/ 1 x)) y))) 2)))) x)) (/ 1 (- 1 (* -1/3 (* (sqrt (/ 1 x)) y))))) (* -1/9 (/ (pow y 2) (* x (* (pow (sqrt -1) 2) (- 1 (* -1/3 (* (sqrt (/ 1 x)) y))))))))
(- (+ (* -1 (/ (- (+ (* -1 (/ (- (* 1/9 (/ (+ (* -1/9 (/ (- (* 2/27 (* (sqrt (/ 1 x)) (/ y (- 1 (* -1/3 (* (sqrt (/ 1 x)) y)))))) (* -1/9 (/ (- 1 (* -1/9 (/ (pow y 2) (* x (pow (sqrt -1) 2))))) (pow (- 1 (* -1/3 (* (sqrt (/ 1 x)) y))) 2)))) (- 1 (* -1/3 (* (sqrt (/ 1 x)) y))))) (* 1/81 (/ 1 (- 1 (* -1/3 (* (sqrt (/ 1 x)) y)))))) (* x (- 1 (* -1/3 (* (sqrt (/ 1 x)) y)))))) (+ (* -1/9 (/ (- (* 2/27 (* (sqrt (/ 1 x)) (/ y (- 1 (* -1/3 (* (sqrt (/ 1 x)) y)))))) (* -1/9 (/ (- 1 (* -1/9 (/ (pow y 2) (* x (pow (sqrt -1) 2))))) (pow (- 1 (* -1/3 (* (sqrt (/ 1 x)) y))) 2)))) (- 1 (* -1/3 (* (sqrt (/ 1 x)) y))))) (* 1/81 (/ 1 (- 1 (* -1/3 (* (sqrt (/ 1 x)) y))))))) x)) (* 2/27 (* (sqrt (/ 1 x)) (/ y (- 1 (* -1/3 (* (sqrt (/ 1 x)) y))))))) (* -1/9 (/ (- 1 (* -1/9 (/ (pow y 2) (* x (pow (sqrt -1) 2))))) (pow (- 1 (* -1/3 (* (sqrt (/ 1 x)) y))) 2)))) x)) (/ 1 (- 1 (* -1/3 (* (sqrt (/ 1 x)) y))))) (* -1/9 (/ (pow y 2) (* x (* (pow (sqrt -1) 2) (- 1 (* -1/3 (* (sqrt (/ 1 x)) y))))))))
(* -1/9 (/ (pow y 2) (* x (pow (sqrt -1) 2))))
(+ (* -1/9 (/ (pow y 2) (* x (pow (sqrt -1) 2)))) (* 2/27 (* (sqrt (/ 1 (pow x 3))) y)))
(+ (* -1 (/ (- (* -2/27 (* (sqrt (/ 1 x)) y)) (* 1/81 (/ 1 x))) x)) (* -1/9 (/ (pow y 2) (* x (pow (sqrt -1) 2)))))
(* -1 (* (sqrt x) (* y (pow (sqrt -1) 2))))
(- x 1/9)
(- (+ x (* -1/3 (* (sqrt x) y))) 1/9)
1/9
(* 1/3 y)
(- 1 (* 1/81 (/ 1 (pow x 2))))
(- (+ 1 (* -2/27 (* (sqrt (/ 1 (pow x 3))) y))) (* 1/81 (/ 1 (pow x 2))))
(- (+ 1 (* y (- (* -1/9 (/ y x)) (* 2/27 (sqrt (/ 1 (pow x 3))))))) (* 1/81 (/ 1 (pow x 2))))
(/ (- 1 (* 1/81 (/ 1 (pow x 2)))) (+ 1 (* 1/9 (/ 1 x))))
(- (+ (* y (- (* -2/27 (* (sqrt (/ 1 (pow x 3))) (/ 1 (+ 1 (* 1/9 (/ 1 x)))))) (* 1/3 (* (sqrt (/ 1 x)) (/ (- 1 (* 1/81 (/ 1 (pow x 2)))) (pow (+ 1 (* 1/9 (/ 1 x))) 2)))))) (/ 1 (+ 1 (* 1/9 (/ 1 x))))) (/ 1/81 (* (pow x 2) (+ 1 (* 1/9 (/ 1 x))))))
(- (+ (* y (- (+ (* -1 (* y (+ (* 1/9 (/ 1 (* x (+ 1 (* 1/9 (/ 1 x)))))) (* 1/3 (* (sqrt (/ 1 x)) (/ (- (* -2/27 (* (sqrt (/ 1 (pow x 3))) (/ 1 (+ 1 (* 1/9 (/ 1 x)))))) (* 1/3 (* (sqrt (/ 1 x)) (/ (- 1 (* 1/81 (/ 1 (pow x 2)))) (pow (+ 1 (* 1/9 (/ 1 x))) 2))))) (+ 1 (* 1/9 (/ 1 x))))))))) (* -2/27 (* (sqrt (/ 1 (pow x 3))) (/ 1 (+ 1 (* 1/9 (/ 1 x))))))) (* 1/3 (* (sqrt (/ 1 x)) (/ (- 1 (* 1/81 (/ 1 (pow x 2)))) (pow (+ 1 (* 1/9 (/ 1 x))) 2)))))) (/ 1 (+ 1 (* 1/9 (/ 1 x))))) (/ 1/81 (* (pow x 2) (+ 1 (* 1/9 (/ 1 x))))))
(- (+ (* y (- (+ (* -2/27 (* (sqrt (/ 1 (pow x 3))) (/ 1 (+ 1 (* 1/9 (/ 1 x)))))) (* y (- (* 1/3 (* (sqrt (/ 1 x)) (/ (* y (+ (* 1/3 (* (sqrt (/ 1 x)) (/ (- (* -2/27 (* (sqrt (/ 1 (pow x 3))) (/ 1 (+ 1 (* 1/9 (/ 1 x)))))) (* 1/3 (* (sqrt (/ 1 x)) (/ (- 1 (* 1/81 (/ 1 (pow x 2)))) (pow (+ 1 (* 1/9 (/ 1 x))) 2))))) (+ 1 (* 1/9 (/ 1 x)))))) (* 1/9 (/ 1 (* x (+ 1 (* 1/9 (/ 1 x)))))))) (+ 1 (* 1/9 (/ 1 x)))))) (+ (* 1/9 (/ 1 (* x (+ 1 (* 1/9 (/ 1 x)))))) (* 1/3 (* (sqrt (/ 1 x)) (/ (- (* -2/27 (* (sqrt (/ 1 (pow x 3))) (/ 1 (+ 1 (* 1/9 (/ 1 x)))))) (* 1/3 (* (sqrt (/ 1 x)) (/ (- 1 (* 1/81 (/ 1 (pow x 2)))) (pow (+ 1 (* 1/9 (/ 1 x))) 2))))) (+ 1 (* 1/9 (/ 1 x)))))))))) (* 1/3 (* (sqrt (/ 1 x)) (/ (- 1 (* 1/81 (/ 1 (pow x 2)))) (pow (+ 1 (* 1/9 (/ 1 x))) 2)))))) (/ 1 (+ 1 (* 1/9 (/ 1 x))))) (/ 1/81 (* (pow x 2) (+ 1 (* 1/9 (/ 1 x))))))
(/ 1/81 (pow x 2))
(+ (* 2/27 (* (sqrt (/ 1 (pow x 3))) y)) (* 1/81 (/ 1 (pow x 2))))
(+ (* y (+ (* 2/27 (sqrt (/ 1 (pow x 3)))) (* 1/9 (/ y x)))) (* 1/81 (/ 1 (pow x 2))))
(* y (- (/ 1 y) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/9 (* x y)))))
(* y (- (+ (* -1/3 (sqrt (/ 1 x))) (/ 1 y)) (/ 1/9 (* x y))))
(* -1/3 (* (sqrt x) y))
(* y (- (/ x y) (+ (* 1/3 (sqrt x)) (* 1/9 (/ 1 y)))))
(* y (+ (* 1/3 (sqrt x)) (* 1/9 (/ 1 y))))
(* -1/9 (/ (pow y 2) x))
(* (pow y 2) (- (* -2/27 (* (sqrt (/ 1 (pow x 3))) (/ 1 y))) (* 1/9 (/ 1 x))))
(* (pow y 2) (- (/ 1 (pow y 2)) (+ (* 2/27 (* (sqrt (/ 1 (pow x 3))) (/ 1 y))) (+ (* 1/9 (/ 1 x)) (* 1/81 (/ 1 (* (pow x 2) (pow y 2))))))))
(* y (+ (* -1 (/ (+ (* -1 (+ 1 (* 1/9 (/ 1 x)))) (* 2/9 (/ 1 x))) y)) (* -1/3 (sqrt (/ 1 x)))))
(* y (- (+ (* -1/3 (sqrt (/ 1 x))) (* 3 (* (sqrt x) (/ (- 1 (* 1/81 (/ 1 (pow x 2)))) (pow y 2))))) (+ (* -3 (* (sqrt x) (/ (* (+ 1 (* 1/9 (/ 1 x))) (+ (* -1 (+ 1 (* 1/9 (/ 1 x)))) (* 2/9 (/ 1 x)))) (pow y 2)))) (+ (* -1 (/ (+ 1 (* 1/9 (/ 1 x))) y)) (/ 2/9 (* x y))))))
(* y (- (+ (* -3 (* (sqrt x) (/ (* (+ 1 (* 1/9 (/ 1 x))) (- (* 3 (* (sqrt x) (- 1 (* 1/81 (/ 1 (pow x 2)))))) (* -3 (* (sqrt x) (* (+ 1 (* 1/9 (/ 1 x))) (+ (* -1 (+ 1 (* 1/9 (/ 1 x)))) (* 2/9 (/ 1 x)))))))) (pow y 3)))) (+ (* -1/3 (sqrt (/ 1 x))) (* 3 (* (sqrt x) (/ (- 1 (* 1/81 (/ 1 (pow x 2)))) (pow y 2)))))) (+ (* -3 (* (sqrt x) (/ (* (+ 1 (* 1/9 (/ 1 x))) (+ (* -1 (+ 1 (* 1/9 (/ 1 x)))) (* 2/9 (/ 1 x)))) (pow y 2)))) (+ (* -1 (/ (+ 1 (* 1/9 (/ 1 x))) y)) (/ 2/9 (* x y))))))
(* (pow y 2) (+ (* 2/27 (* (sqrt (/ 1 (pow x 3))) (/ 1 y))) (* 1/9 (/ 1 x))))
(* (pow y 2) (+ (* 2/27 (* (sqrt (/ 1 (pow x 3))) (/ 1 y))) (+ (/ 1/81 (* (pow x 2) (pow y 2))) (* 1/9 (/ 1 x)))))
(* y (- (* -1/3 (sqrt (/ 1 x))) (* 1/9 (/ 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 (/ (- x 1/9) y)) (* -1/3 (sqrt x)))))
(* -1 (* y (- (* -1/3 (sqrt x)) (* 1/9 (/ 1 y)))))
(* (pow y 2) (- (* -1 (/ (- (* -1 (/ (- 1 (* 1/81 (/ 1 (pow x 2)))) y)) (* -2/27 (sqrt (/ 1 (pow x 3))))) y)) (* 1/9 (/ 1 x))))
(* -1 (* y (+ (* -1 (/ (+ 1 (* 1/9 (/ 1 x))) y)) (+ (* 1/3 (sqrt (/ 1 x))) (/ 2/9 (* x y))))))
(* -1 (* y (+ (* -1 (/ (- (* -1 (/ (- (* -3 (* (sqrt x) (- 1 (* 1/81 (/ 1 (pow x 2)))))) (* 3 (* (sqrt x) (* (+ 1 (* 1/9 (/ 1 x))) (+ (* -1 (+ 1 (* 1/9 (/ 1 x)))) (* 2/9 (/ 1 x))))))) y)) (+ (* -1 (+ 1 (* 1/9 (/ 1 x)))) (* 2/9 (/ 1 x)))) y)) (* 1/3 (sqrt (/ 1 x))))))
(* -1 (* y (+ (* -1 (/ (- (* -1 (/ (- (+ (* -3 (* (sqrt x) (- 1 (* 1/81 (/ 1 (pow x 2)))))) (* -3 (* (sqrt x) (/ (* (+ 1 (* 1/9 (/ 1 x))) (- (* -3 (* (sqrt x) (- 1 (* 1/81 (/ 1 (pow x 2)))))) (* 3 (* (sqrt x) (* (+ 1 (* 1/9 (/ 1 x))) (+ (* -1 (+ 1 (* 1/9 (/ 1 x)))) (* 2/9 (/ 1 x)))))))) y)))) (* 3 (* (sqrt x) (* (+ 1 (* 1/9 (/ 1 x))) (+ (* -1 (+ 1 (* 1/9 (/ 1 x)))) (* 2/9 (/ 1 x))))))) y)) (+ (* -1 (+ 1 (* 1/9 (/ 1 x)))) (* 2/9 (/ 1 x)))) y)) (* 1/3 (sqrt (/ 1 x))))))
(* (pow y 2) (+ (* -1 (/ (- (* -2/27 (sqrt (/ 1 (pow x 3)))) (* 1/81 (/ 1 (* (pow x 2) y)))) y)) (* 1/9 (/ 1 x))))
(* -1 (* y (+ (* 1/3 (sqrt (/ 1 x))) (* 1/9 (/ 1 (* x y))))))
Calls

6 calls:

TimeVariablePointExpression
33.0ms
x
@-inf
((/ (pow x -1/2) (/ 3 y)) (/ 1 (* x 9)) (- (- 1 (/ 1 (* x 9))) (/ (pow x -1/2) (/ 3 y))) (- 1 (/ 1 (* x 9))) (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x))) (* 3 (sqrt x)) (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/ (- x (+ (* (* (sqrt x) y) 1/3) 1/9)) x) (- x (+ (* (* (sqrt x) y) 1/3) 1/9)) (+ (* (* (sqrt x) y) 1/3) 1/9) (+ (* (/ -1 (sqrt x)) (* 1/3 y)) (- 1 (/ 1/9 x))) (/ -1 (sqrt x)) (sqrt x) (* 1/3 y) (- 1 (* (+ (* (/ -1/3 (sqrt x)) y) (/ -1/9 x)) (+ (* (/ -1/3 (sqrt x)) y) (/ -1/9 x)))) (/ (- 1 (* (+ (* (/ -1/3 (sqrt x)) y) (/ -1/9 x)) (+ (* (/ -1/3 (sqrt x)) y) (/ -1/9 x)))) (- 1 (+ (* (/ -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)) (* x 9) (* (sqrt x) y) (/ 1/9 x) (/ -1/3 (sqrt x)) (/ -1/9 x))
7.0ms
y
@inf
((/ (pow x -1/2) (/ 3 y)) (/ 1 (* x 9)) (- (- 1 (/ 1 (* x 9))) (/ (pow x -1/2) (/ 3 y))) (- 1 (/ 1 (* x 9))) (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x))) (* 3 (sqrt x)) (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/ (- x (+ (* (* (sqrt x) y) 1/3) 1/9)) x) (- x (+ (* (* (sqrt x) y) 1/3) 1/9)) (+ (* (* (sqrt x) y) 1/3) 1/9) (+ (* (/ -1 (sqrt x)) (* 1/3 y)) (- 1 (/ 1/9 x))) (/ -1 (sqrt x)) (sqrt x) (* 1/3 y) (- 1 (* (+ (* (/ -1/3 (sqrt x)) y) (/ -1/9 x)) (+ (* (/ -1/3 (sqrt x)) y) (/ -1/9 x)))) (/ (- 1 (* (+ (* (/ -1/3 (sqrt x)) y) (/ -1/9 x)) (+ (* (/ -1/3 (sqrt x)) y) (/ -1/9 x)))) (- 1 (+ (* (/ -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)) (* x 9) (* (sqrt x) y) (/ 1/9 x) (/ -1/3 (sqrt x)) (/ -1/9 x))
6.0ms
y
@0
((/ (pow x -1/2) (/ 3 y)) (/ 1 (* x 9)) (- (- 1 (/ 1 (* x 9))) (/ (pow x -1/2) (/ 3 y))) (- 1 (/ 1 (* x 9))) (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x))) (* 3 (sqrt x)) (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/ (- x (+ (* (* (sqrt x) y) 1/3) 1/9)) x) (- x (+ (* (* (sqrt x) y) 1/3) 1/9)) (+ (* (* (sqrt x) y) 1/3) 1/9) (+ (* (/ -1 (sqrt x)) (* 1/3 y)) (- 1 (/ 1/9 x))) (/ -1 (sqrt x)) (sqrt x) (* 1/3 y) (- 1 (* (+ (* (/ -1/3 (sqrt x)) y) (/ -1/9 x)) (+ (* (/ -1/3 (sqrt x)) y) (/ -1/9 x)))) (/ (- 1 (* (+ (* (/ -1/3 (sqrt x)) y) (/ -1/9 x)) (+ (* (/ -1/3 (sqrt x)) y) (/ -1/9 x)))) (- 1 (+ (* (/ -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)) (* x 9) (* (sqrt x) y) (/ 1/9 x) (/ -1/3 (sqrt x)) (/ -1/9 x))
5.0ms
x
@0
((/ (pow x -1/2) (/ 3 y)) (/ 1 (* x 9)) (- (- 1 (/ 1 (* x 9))) (/ (pow x -1/2) (/ 3 y))) (- 1 (/ 1 (* x 9))) (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x))) (* 3 (sqrt x)) (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/ (- x (+ (* (* (sqrt x) y) 1/3) 1/9)) x) (- x (+ (* (* (sqrt x) y) 1/3) 1/9)) (+ (* (* (sqrt x) y) 1/3) 1/9) (+ (* (/ -1 (sqrt x)) (* 1/3 y)) (- 1 (/ 1/9 x))) (/ -1 (sqrt x)) (sqrt x) (* 1/3 y) (- 1 (* (+ (* (/ -1/3 (sqrt x)) y) (/ -1/9 x)) (+ (* (/ -1/3 (sqrt x)) y) (/ -1/9 x)))) (/ (- 1 (* (+ (* (/ -1/3 (sqrt x)) y) (/ -1/9 x)) (+ (* (/ -1/3 (sqrt x)) y) (/ -1/9 x)))) (- 1 (+ (* (/ -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)) (* x 9) (* (sqrt x) y) (/ 1/9 x) (/ -1/3 (sqrt x)) (/ -1/9 x))
5.0ms
x
@inf
((/ (pow x -1/2) (/ 3 y)) (/ 1 (* x 9)) (- (- 1 (/ 1 (* x 9))) (/ (pow x -1/2) (/ 3 y))) (- 1 (/ 1 (* x 9))) (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x))) (* 3 (sqrt x)) (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/ (- x (+ (* (* (sqrt x) y) 1/3) 1/9)) x) (- x (+ (* (* (sqrt x) y) 1/3) 1/9)) (+ (* (* (sqrt x) y) 1/3) 1/9) (+ (* (/ -1 (sqrt x)) (* 1/3 y)) (- 1 (/ 1/9 x))) (/ -1 (sqrt x)) (sqrt x) (* 1/3 y) (- 1 (* (+ (* (/ -1/3 (sqrt x)) y) (/ -1/9 x)) (+ (* (/ -1/3 (sqrt x)) y) (/ -1/9 x)))) (/ (- 1 (* (+ (* (/ -1/3 (sqrt x)) y) (/ -1/9 x)) (+ (* (/ -1/3 (sqrt x)) y) (/ -1/9 x)))) (- 1 (+ (* (/ -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)) (* x 9) (* (sqrt x) y) (/ 1/9 x) (/ -1/3 (sqrt x)) (/ -1/9 x))

simplify174.0ms (2.6%)

Memory
18.3MiB live, 208.9MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04403157
114002946
249402895
084582690
Stop Event
iter limit
node limit
Counts
107 → 107
Calls
Call 1
Inputs
(* 1/3 (* (sqrt (/ 1 x)) y))
(/ 1/9 x)
(* -1 (/ (+ 1/9 (* 1/3 (* (sqrt x) y))) x))
(/ (- x (+ 1/9 (* 1/3 (* (sqrt x) y)))) x)
(/ -1/9 x)
(/ (- x 1/9) x)
(* 3 (sqrt x))
(/ (+ x (* -1 (+ 1/9 (* 1/3 (* (sqrt x) y))))) x)
(* -1 (+ 1/9 (* 1/3 (* (sqrt x) y))))
(- x (+ 1/9 (* 1/3 (* (sqrt x) y))))
(+ 1/9 (* 1/3 (* (sqrt x) y)))
(/ (- (* -1/3 (* (sqrt x) y)) 1/9) x)
(/ (- (+ x (* -1/3 (* (sqrt x) y))) 1/9) x)
(* -1 (sqrt (/ 1 x)))
(sqrt x)
(* -1 (/ (pow (- (* -1/3 (* (sqrt x) y)) 1/9) 2) (pow x 2)))
(/ (- (pow x 2) (pow (- (* -1/3 (* (sqrt x) y)) 1/9) 2)) (pow x 2))
(* -1 (/ (pow (- (* -1/3 (* (sqrt x) y)) 1/9) 2) (* x (- 1/9 (* -1/3 (* (sqrt x) y))))))
(/ (+ (* -1 (/ (pow (- (* -1/3 (* (sqrt x) y)) 1/9) 2) (- 1/9 (* -1/3 (* (sqrt x) y))))) (/ (* x (pow (- (* -1/3 (* (sqrt x) y)) 1/9) 2)) (pow (- 1/9 (* -1/3 (* (sqrt x) y))) 2))) x)
(/ (+ (* -1 (/ (pow (- (* -1/3 (* (sqrt x) y)) 1/9) 2) (- 1/9 (* -1/3 (* (sqrt x) y))))) (* x (- (* x (- (/ 1 (- 1/9 (* -1/3 (* (sqrt x) y)))) (/ (pow (- (* -1/3 (* (sqrt x) y)) 1/9) 2) (pow (- 1/9 (* -1/3 (* (sqrt x) y))) 3)))) (* -1 (/ (pow (- (* -1/3 (* (sqrt x) y)) 1/9) 2) (pow (- 1/9 (* -1/3 (* (sqrt x) y))) 2)))))) x)
(/ (+ (* -1 (/ (pow (- (* -1/3 (* (sqrt x) y)) 1/9) 2) (- 1/9 (* -1/3 (* (sqrt x) y))))) (* x (- (* x (- (+ (* x (- (/ (pow (- (* -1/3 (* (sqrt x) y)) 1/9) 2) (pow (- 1/9 (* -1/3 (* (sqrt x) y))) 4)) (/ 1 (pow (- 1/9 (* -1/3 (* (sqrt x) y))) 2)))) (/ 1 (- 1/9 (* -1/3 (* (sqrt x) y))))) (/ (pow (- (* -1/3 (* (sqrt x) y)) 1/9) 2) (pow (- 1/9 (* -1/3 (* (sqrt x) y))) 3)))) (* -1 (/ (pow (- (* -1/3 (* (sqrt x) y)) 1/9) 2) (pow (- 1/9 (* -1/3 (* (sqrt x) y))) 2)))))) x)
(/ (pow (- (* -1/3 (* (sqrt x) y)) 1/9) 2) (pow x 2))
(* 9 x)
(* (sqrt x) y)
(* -1/3 (sqrt (/ 1 x)))
(- 1 (* 1/3 (* (sqrt (/ 1 x)) y)))
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))
1
(- 1 (* 1/9 (/ 1 x)))
(* x (- 1 (* 1/3 (* (sqrt (/ 1 x)) y))))
(* x (- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x)))))
(* 1/3 (* (sqrt x) y))
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(- 1 (* 1/9 (/ (pow y 2) x)))
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(- (+ 1 (* -1 (/ (+ (* 2/27 (* (sqrt (/ 1 x)) y)) (* 1/81 (/ 1 x))) x))) (* 1/9 (/ (pow y 2) x)))
(/ (- 1 (* 1/9 (/ (pow y 2) x))) (- 1 (* -1/3 (* (sqrt (/ 1 x)) y))))
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(+ (* 2/27 (* (sqrt (/ 1 (pow x 3))) y)) (* 1/9 (/ (pow y 2) x)))
(+ (* 2/27 (* (sqrt (/ 1 (pow x 3))) y)) (+ (* 1/9 (/ (pow y 2) x)) (/ 1/81 (pow x 2))))
(* -1/3 (* (sqrt (/ 1 x)) y))
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(- x 1/9)
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1/9
(* 1/3 y)
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(/ 1/81 (pow x 2))
(+ (* 2/27 (* (sqrt (/ 1 (pow x 3))) y)) (* 1/81 (/ 1 (pow x 2))))
(+ (* y (+ (* 2/27 (sqrt (/ 1 (pow x 3)))) (* 1/9 (/ y x)))) (* 1/81 (/ 1 (pow x 2))))
(* y (- (/ 1 y) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/9 (* x y)))))
(* y (- (+ (* -1/3 (sqrt (/ 1 x))) (/ 1 y)) (/ 1/9 (* x y))))
(* -1/3 (* (sqrt x) y))
(* y (- (/ x y) (+ (* 1/3 (sqrt x)) (* 1/9 (/ 1 y)))))
(* y (+ (* 1/3 (sqrt x)) (* 1/9 (/ 1 y))))
(* -1/9 (/ (pow y 2) x))
(* (pow y 2) (- (* -2/27 (* (sqrt (/ 1 (pow x 3))) (/ 1 y))) (* 1/9 (/ 1 x))))
(* (pow y 2) (- (/ 1 (pow y 2)) (+ (* 2/27 (* (sqrt (/ 1 (pow x 3))) (/ 1 y))) (+ (* 1/9 (/ 1 x)) (* 1/81 (/ 1 (* (pow x 2) (pow y 2))))))))
(* y (+ (* -1 (/ (+ (* -1 (+ 1 (* 1/9 (/ 1 x)))) (* 2/9 (/ 1 x))) y)) (* -1/3 (sqrt (/ 1 x)))))
(* y (- (+ (* -1/3 (sqrt (/ 1 x))) (* 3 (* (sqrt x) (/ (- 1 (* 1/81 (/ 1 (pow x 2)))) (pow y 2))))) (+ (* -3 (* (sqrt x) (/ (* (+ 1 (* 1/9 (/ 1 x))) (+ (* -1 (+ 1 (* 1/9 (/ 1 x)))) (* 2/9 (/ 1 x)))) (pow y 2)))) (+ (* -1 (/ (+ 1 (* 1/9 (/ 1 x))) y)) (/ 2/9 (* x y))))))
(* y (- (+ (* -3 (* (sqrt x) (/ (* (+ 1 (* 1/9 (/ 1 x))) (- (* 3 (* (sqrt x) (- 1 (* 1/81 (/ 1 (pow x 2)))))) (* -3 (* (sqrt x) (* (+ 1 (* 1/9 (/ 1 x))) (+ (* -1 (+ 1 (* 1/9 (/ 1 x)))) (* 2/9 (/ 1 x)))))))) (pow y 3)))) (+ (* -1/3 (sqrt (/ 1 x))) (* 3 (* (sqrt x) (/ (- 1 (* 1/81 (/ 1 (pow x 2)))) (pow y 2)))))) (+ (* -3 (* (sqrt x) (/ (* (+ 1 (* 1/9 (/ 1 x))) (+ (* -1 (+ 1 (* 1/9 (/ 1 x)))) (* 2/9 (/ 1 x)))) (pow y 2)))) (+ (* -1 (/ (+ 1 (* 1/9 (/ 1 x))) y)) (/ 2/9 (* x y))))))
(* (pow y 2) (+ (* 2/27 (* (sqrt (/ 1 (pow x 3))) (/ 1 y))) (* 1/9 (/ 1 x))))
(* (pow y 2) (+ (* 2/27 (* (sqrt (/ 1 (pow x 3))) (/ 1 y))) (+ (/ 1/81 (* (pow x 2) (pow y 2))) (* 1/9 (/ 1 x)))))
(* y (- (* -1/3 (sqrt (/ 1 x))) (* 1/9 (/ 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 (/ (- x 1/9) y)) (* -1/3 (sqrt x)))))
(* -1 (* y (- (* -1/3 (sqrt x)) (* 1/9 (/ 1 y)))))
(* (pow y 2) (- (* -1 (/ (- (* -1 (/ (- 1 (* 1/81 (/ 1 (pow x 2)))) y)) (* -2/27 (sqrt (/ 1 (pow x 3))))) y)) (* 1/9 (/ 1 x))))
(* -1 (* y (+ (* -1 (/ (+ 1 (* 1/9 (/ 1 x))) y)) (+ (* 1/3 (sqrt (/ 1 x))) (/ 2/9 (* x y))))))
(* -1 (* y (+ (* -1 (/ (- (* -1 (/ (- (* -3 (* (sqrt x) (- 1 (* 1/81 (/ 1 (pow x 2)))))) (* 3 (* (sqrt x) (* (+ 1 (* 1/9 (/ 1 x))) (+ (* -1 (+ 1 (* 1/9 (/ 1 x)))) (* 2/9 (/ 1 x))))))) y)) (+ (* -1 (+ 1 (* 1/9 (/ 1 x)))) (* 2/9 (/ 1 x)))) y)) (* 1/3 (sqrt (/ 1 x))))))
(* -1 (* y (+ (* -1 (/ (- (* -1 (/ (- (+ (* -3 (* (sqrt x) (- 1 (* 1/81 (/ 1 (pow x 2)))))) (* -3 (* (sqrt x) (/ (* (+ 1 (* 1/9 (/ 1 x))) (- (* -3 (* (sqrt x) (- 1 (* 1/81 (/ 1 (pow x 2)))))) (* 3 (* (sqrt x) (* (+ 1 (* 1/9 (/ 1 x))) (+ (* -1 (+ 1 (* 1/9 (/ 1 x)))) (* 2/9 (/ 1 x)))))))) y)))) (* 3 (* (sqrt x) (* (+ 1 (* 1/9 (/ 1 x))) (+ (* -1 (+ 1 (* 1/9 (/ 1 x)))) (* 2/9 (/ 1 x))))))) y)) (+ (* -1 (+ 1 (* 1/9 (/ 1 x)))) (* 2/9 (/ 1 x)))) y)) (* 1/3 (sqrt (/ 1 x))))))
(* (pow y 2) (+ (* -1 (/ (- (* -2/27 (sqrt (/ 1 (pow x 3)))) (* 1/81 (/ 1 (* (pow x 2) y)))) y)) (* 1/9 (/ 1 x))))
(* -1 (* y (+ (* 1/3 (sqrt (/ 1 x))) (* 1/9 (/ 1 (* x y))))))
Outputs
(* 1/3 (* (sqrt (/ 1 x)) y))
(*.f64 (*.f64 #s(literal 1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(/ 1/9 x)
(/.f64 #s(literal 1/9 binary64) x)
(* -1 (/ (+ 1/9 (* 1/3 (* (sqrt x) y))) x))
(/.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal -1/9 binary64)) x)
(/ (- x (+ 1/9 (* 1/3 (* (sqrt x) y)))) x)
(/.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 (sqrt.f64 x) y) (-.f64 x #s(literal 1/9 binary64))) x)
(/ -1/9 x)
(/.f64 #s(literal -1/9 binary64) x)
(/ (- x 1/9) x)
(/.f64 (-.f64 x #s(literal 1/9 binary64)) x)
(* 3 (sqrt x))
(*.f64 (sqrt.f64 x) #s(literal 3 binary64))
(/ (+ x (* -1 (+ 1/9 (* 1/3 (* (sqrt x) y))))) x)
(/.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 (sqrt.f64 x) y) (-.f64 x #s(literal 1/9 binary64))) x)
(* -1 (+ 1/9 (* 1/3 (* (sqrt x) y))))
(fma.f64 #s(literal -1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal -1/9 binary64))
(- x (+ 1/9 (* 1/3 (* (sqrt x) y))))
(fma.f64 #s(literal -1/3 binary64) (*.f64 (sqrt.f64 x) y) (-.f64 x #s(literal 1/9 binary64)))
(+ 1/9 (* 1/3 (* (sqrt x) y)))
(fma.f64 (*.f64 (sqrt.f64 x) y) #s(literal 1/3 binary64) #s(literal 1/9 binary64))
(/ (- (* -1/3 (* (sqrt x) y)) 1/9) x)
(/.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal -1/9 binary64)) x)
(/ (- (+ x (* -1/3 (* (sqrt x) y))) 1/9) x)
(/.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 (sqrt.f64 x) y) (-.f64 x #s(literal 1/9 binary64))) x)
(* -1 (sqrt (/ 1 x)))
(neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(sqrt x)
(sqrt.f64 x)
(* -1 (/ (pow (- (* -1/3 (* (sqrt x) y)) 1/9) 2) (pow x 2)))
(/.f64 (/.f64 (neg.f64 (pow.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal -1/9 binary64)) #s(literal 2 binary64))) x) x)
(/ (- (pow x 2) (pow (- (* -1/3 (* (sqrt x) y)) 1/9) 2)) (pow x 2))
(-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (pow.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal -1/9 binary64)) #s(literal 2 binary64)) x) x))
(* -1 (/ (pow (- (* -1/3 (* (sqrt x) y)) 1/9) 2) (* x (- 1/9 (* -1/3 (* (sqrt x) y))))))
(/.f64 (/.f64 (pow.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal -1/9 binary64)) #s(literal 2 binary64)) x) (fma.f64 #s(literal -1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal -1/9 binary64)))
(/ (+ (* -1 (/ (pow (- (* -1/3 (* (sqrt x) y)) 1/9) 2) (- 1/9 (* -1/3 (* (sqrt x) y))))) (/ (* x (pow (- (* -1/3 (* (sqrt x) y)) 1/9) 2)) (pow (- 1/9 (* -1/3 (* (sqrt x) y))) 2))) x)
(/.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal -1/9 binary64)) #s(literal 2 binary64)) (/.f64 x (pow.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal -1/9 binary64)) #s(literal 2 binary64))) (/.f64 (pow.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal -1/9 binary64)) #s(literal 2 binary64)) (fma.f64 #s(literal -1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal -1/9 binary64)))) x)
(/ (+ (* -1 (/ (pow (- (* -1/3 (* (sqrt x) y)) 1/9) 2) (- 1/9 (* -1/3 (* (sqrt x) y))))) (* x (- (* x (- (/ 1 (- 1/9 (* -1/3 (* (sqrt x) y)))) (/ (pow (- (* -1/3 (* (sqrt x) y)) 1/9) 2) (pow (- 1/9 (* -1/3 (* (sqrt x) y))) 3)))) (* -1 (/ (pow (- (* -1/3 (* (sqrt x) y)) 1/9) 2) (pow (- 1/9 (* -1/3 (* (sqrt x) y))) 2)))))) x)
(/.f64 (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (sqrt.f64 x) y) #s(literal 1/3 binary64) #s(literal 1/9 binary64))) (/.f64 (pow.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal -1/9 binary64)) #s(literal 2 binary64)) (pow.f64 (fma.f64 (*.f64 (sqrt.f64 x) y) #s(literal 1/3 binary64) #s(literal 1/9 binary64)) #s(literal 3 binary64)))) x (/.f64 (pow.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal -1/9 binary64)) #s(literal 2 binary64)) (pow.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal -1/9 binary64)) #s(literal 2 binary64)))) x (/.f64 (pow.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal -1/9 binary64)) #s(literal 2 binary64)) (fma.f64 #s(literal -1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal -1/9 binary64)))) x)
(/ (+ (* -1 (/ (pow (- (* -1/3 (* (sqrt x) y)) 1/9) 2) (- 1/9 (* -1/3 (* (sqrt x) y))))) (* x (- (* x (- (+ (* x (- (/ (pow (- (* -1/3 (* (sqrt x) y)) 1/9) 2) (pow (- 1/9 (* -1/3 (* (sqrt x) y))) 4)) (/ 1 (pow (- 1/9 (* -1/3 (* (sqrt x) y))) 2)))) (/ 1 (- 1/9 (* -1/3 (* (sqrt x) y))))) (/ (pow (- (* -1/3 (* (sqrt x) y)) 1/9) 2) (pow (- 1/9 (* -1/3 (* (sqrt x) y))) 3)))) (* -1 (/ (pow (- (* -1/3 (* (sqrt x) y)) 1/9) 2) (pow (- 1/9 (* -1/3 (* (sqrt x) y))) 2)))))) x)
(/.f64 (fma.f64 (fma.f64 (fma.f64 (-.f64 (/.f64 (pow.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal -1/9 binary64)) #s(literal 2 binary64)) (pow.f64 (fma.f64 (*.f64 (sqrt.f64 x) y) #s(literal 1/3 binary64) #s(literal 1/9 binary64)) #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal -1/9 binary64)) #s(literal 2 binary64)))) x (-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (sqrt.f64 x) y) #s(literal 1/3 binary64) #s(literal 1/9 binary64))) (/.f64 (pow.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal -1/9 binary64)) #s(literal 2 binary64)) (pow.f64 (fma.f64 (*.f64 (sqrt.f64 x) y) #s(literal 1/3 binary64) #s(literal 1/9 binary64)) #s(literal 3 binary64))))) x (/.f64 (pow.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal -1/9 binary64)) #s(literal 2 binary64)) (pow.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal -1/9 binary64)) #s(literal 2 binary64)))) x (/.f64 (pow.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal -1/9 binary64)) #s(literal 2 binary64)) (fma.f64 #s(literal -1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal -1/9 binary64)))) x)
(/ (pow (- (* -1/3 (* (sqrt x) y)) 1/9) 2) (pow x 2))
(/.f64 (/.f64 (pow.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal -1/9 binary64)) #s(literal 2 binary64)) x) x)
(* 9 x)
(*.f64 #s(literal 9 binary64) x)
(* (sqrt x) y)
(*.f64 (sqrt.f64 x) y)
(* -1/3 (sqrt (/ 1 x)))
(*.f64 #s(literal -1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(- 1 (* 1/3 (* (sqrt (/ 1 x)) y)))
(fma.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))
(fma.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 (-.f64 x #s(literal 1/9 binary64)) x))
1
#s(literal 1 binary64)
(- 1 (* 1/9 (/ 1 x)))
(/.f64 (-.f64 x #s(literal 1/9 binary64)) x)
(* x (- 1 (* 1/3 (* (sqrt (/ 1 x)) y))))
(*.f64 (fma.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) x)
(* x (- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x)))))
(fma.f64 (fma.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal -1/9 binary64) x)) x x)
(* 1/3 (* (sqrt x) y))
(*.f64 (*.f64 (sqrt.f64 x) y) #s(literal 1/3 binary64))
(* x (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))
(fma.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) x #s(literal 1/9 binary64))
(+ 1 (* -1/3 (* (sqrt (/ 1 x)) y)))
(fma.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
(- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))
(fma.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 (-.f64 x #s(literal 1/9 binary64)) x))
(- 1 (* 1/9 (/ (pow y 2) x)))
(fma.f64 (/.f64 (*.f64 y y) x) #s(literal -1/9 binary64) #s(literal 1 binary64))
(- (+ 1 (* -2/27 (* (sqrt (/ 1 (pow x 3))) y))) (* 1/9 (/ (pow y 2) x)))
(fma.f64 (*.f64 #s(literal -2/27 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 (/.f64 (*.f64 y y) x) #s(literal -1/9 binary64) #s(literal 1 binary64)))
(- (+ 1 (* -1 (/ (+ (* 2/27 (* (sqrt (/ 1 x)) y)) (* 1/81 (/ 1 x))) x))) (* 1/9 (/ (pow y 2) x)))
(fma.f64 (/.f64 (*.f64 y y) x) #s(literal -1/9 binary64) (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 #s(literal 2/27 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1/81 binary64) x)) x)))
(/ (- 1 (* 1/9 (/ (pow y 2) x))) (- 1 (* -1/3 (* (sqrt (/ 1 x)) y))))
(/.f64 (fma.f64 (/.f64 (*.f64 y y) x) #s(literal -1/9 binary64) #s(literal 1 binary64)) (fma.f64 (*.f64 #s(literal 1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)))
(- (+ (* -2/27 (* (sqrt (/ 1 (pow x 3))) (/ y (- 1 (* -1/3 (* (sqrt (/ 1 x)) y)))))) (/ 1 (- 1 (* -1/3 (* (sqrt (/ 1 x)) y))))) (+ (* 1/9 (/ (- 1 (* 1/9 (/ (pow y 2) x))) (* x (pow (- 1 (* -1/3 (* (sqrt (/ 1 x)) y))) 2)))) (* 1/9 (/ (pow y 2) (* x (- 1 (* -1/3 (* (sqrt (/ 1 x)) y))))))))
(fma.f64 (*.f64 #s(literal -2/27 binary64) (/.f64 y (fma.f64 (*.f64 #s(literal 1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (-.f64 (/.f64 (fma.f64 (/.f64 (*.f64 y y) x) #s(literal -1/9 binary64) #s(literal 1 binary64)) (fma.f64 (*.f64 #s(literal 1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))) (*.f64 (/.f64 (/.f64 (fma.f64 (/.f64 (*.f64 y y) x) #s(literal -1/9 binary64) #s(literal 1 binary64)) x) (pow.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) #s(literal 2 binary64))) #s(literal 1/9 binary64))))
(- (+ (* -1 (/ (+ (* 1/81 (/ 1 (- 1 (* -1/3 (* (sqrt (/ 1 x)) y))))) (* 1/9 (/ (- (* -2/27 (* (sqrt (/ 1 x)) (/ y (- 1 (* -1/3 (* (sqrt (/ 1 x)) y)))))) (* 1/9 (/ (- 1 (* 1/9 (/ (pow y 2) x))) (pow (- 1 (* -1/3 (* (sqrt (/ 1 x)) y))) 2)))) (- 1 (* -1/3 (* (sqrt (/ 1 x)) y)))))) (pow x 2))) (+ (* -2/27 (* (sqrt (/ 1 (pow x 3))) (/ y (- 1 (* -1/3 (* (sqrt (/ 1 x)) y)))))) (/ 1 (- 1 (* -1/3 (* (sqrt (/ 1 x)) y)))))) (+ (* 1/9 (/ (- 1 (* 1/9 (/ (pow y 2) x))) (* x (pow (- 1 (* -1/3 (* (sqrt (/ 1 x)) y))) 2)))) (* 1/9 (/ (pow y 2) (* x (- 1 (* -1/3 (* (sqrt (/ 1 x)) y))))))))
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rewrite196.0ms (3%)

Memory
1.8MiB live, 324.4MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
047243
078214
1337187
23614187
08785186
Stop Event
iter limit
node limit
iter limit
Counts
25 → 1 162
Calls
Call 1
Inputs
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(*.f64 #s(literal 1/3 binary64) y)
(-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y (/.f64 #s(literal -1/9 binary64) x)) (fma.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y (/.f64 #s(literal -1/9 binary64) x))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y (/.f64 #s(literal -1/9 binary64) x)) (fma.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y (/.f64 #s(literal -1/9 binary64) x)))) (-.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y (/.f64 #s(literal -1/9 binary64) x))))
(*.f64 (fma.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y (/.f64 #s(literal -1/9 binary64) x)) (fma.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y (/.f64 #s(literal -1/9 binary64) x)))
(fma.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y (/.f64 #s(literal -1/9 binary64) x))
(*.f64 x #s(literal 9 binary64))
(*.f64 (sqrt.f64 x) y)
(/.f64 #s(literal 1/9 binary64) x)
(/.f64 #s(literal -1/3 binary64) (sqrt.f64 x))
(/.f64 #s(literal -1/9 binary64) x)
Outputs
(*.f64 (pow.f64 (/.f64 #s(literal 3 binary64) (pow.f64 x #s(literal -1/4 binary64))) #s(literal -1 binary64)) (pow.f64 (/.f64 (pow.f64 y #s(literal -1 binary64)) (pow.f64 x #s(literal -1/4 binary64))) #s(literal -1 binary64)))
(*.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal -3 binary64)) (neg.f64 y))
(*.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) (*.f64 #s(literal 1/3 binary64) y))
(*.f64 (/.f64 (pow.f64 x #s(literal -1/4 binary64)) #s(literal 3 binary64)) (/.f64 (pow.f64 x #s(literal -1/4 binary64)) (pow.f64 y #s(literal -1 binary64))))
(*.f64 (pow.f64 x #s(literal -1/4 binary64)) (/.f64 (pow.f64 x #s(literal -1/4 binary64)) (/.f64 #s(literal 3 binary64) y)))
(*.f64 (pow.f64 x #s(literal -1/4 binary64)) (*.f64 (pow.f64 x #s(literal -1/4 binary64)) (*.f64 #s(literal 1/3 binary64) y)))
(*.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (pow.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) y)
(*.f64 (*.f64 #s(literal 1/3 binary64) y) (pow.f64 x #s(literal -1/2 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) (pow.f64 (/.f64 #s(literal -3 binary64) y) #s(literal -1 binary64)))
(*.f64 (neg.f64 y) (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)))
(*.f64 #s(literal 1/3 binary64) (pow.f64 (/.f64 (pow.f64 y #s(literal -1 binary64)) (pow.f64 x #s(literal -1/2 binary64))) #s(literal -1 binary64)))
(*.f64 #s(literal 1/3 binary64) (pow.f64 (/.f64 (sqrt.f64 x) y) #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (/.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64))))
(*.f64 y (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)))
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (*.f64 #s(literal 1/3 binary64) y))
(pow.f64 (/.f64 (sqrt.f64 x) (*.f64 #s(literal 1/3 binary64) y)) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) y) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) y) #s(literal -1 binary64))
(/.f64 (neg.f64 (/.f64 y (sqrt.f64 x))) #s(literal -3 binary64))
(/.f64 (neg.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) y)) #s(literal -3 binary64))
(/.f64 (neg.f64 (neg.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)))) (/.f64 #s(literal -3 binary64) y))
(/.f64 (neg.f64 (neg.f64 (neg.f64 y))) (neg.f64 (neg.f64 (*.f64 #s(literal -3 binary64) (sqrt.f64 x)))))
(/.f64 (neg.f64 (*.f64 y #s(literal 1 binary64))) (*.f64 #s(literal -3 binary64) (sqrt.f64 x)))
(/.f64 (neg.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal -3 binary64) y))
(/.f64 (/.f64 y (sqrt.f64 x)) #s(literal 3 binary64))
(/.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) y) #s(literal 3 binary64))
(/.f64 (neg.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x))) (/.f64 #s(literal 3 binary64) y))
(/.f64 (neg.f64 (*.f64 #s(literal -1/3 binary64) y)) (neg.f64 (neg.f64 (sqrt.f64 x))))
(/.f64 (neg.f64 (neg.f64 y)) (neg.f64 (*.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 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 3 binary64) y))
(/.f64 (*.f64 #s(literal -1/3 binary64) y) (neg.f64 (sqrt.f64 x)))
(/.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (pow.f64 y #s(literal -1 binary64)))
(/.f64 (*.f64 #s(literal 1/3 binary64) y) (sqrt.f64 x))
(/.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) (/.f64 #s(literal -3 binary64) y))
(/.f64 (neg.f64 y) (*.f64 #s(literal -3 binary64) (sqrt.f64 x)))
(/.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) (neg.f64 (pow.f64 y #s(literal -1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (sqrt.f64 x) (*.f64 #s(literal 1/3 binary64) y))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) y) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) y)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) y))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 x) (*.f64 #s(literal 1/3 binary64) y)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) y) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) y))
(/.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64)))
(/.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 #s(literal 3 binary64) y))
(neg.f64 (*.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal -3 binary64) y)) (*.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 #s(literal -3 binary64) (sqrt.f64 x))) (*.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y))
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) y)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (*.f64 #s(literal 9 binary64) x) #s(literal -1/2 binary64)) (pow.f64 (*.f64 #s(literal 9 binary64) x) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1/9 binary64))
(*.f64 #s(literal -1/9 binary64) (pow.f64 (neg.f64 x) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/9 binary64) x))
(*.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x))
(pow.f64 (pow.f64 (*.f64 #s(literal 9 binary64) x) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (/.f64 #s(literal 9 binary64) (pow.f64 x #s(literal -1 binary64))) #s(literal -1 binary64))
(pow.f64 (neg.f64 (*.f64 #s(literal -9 binary64) x)) #s(literal -1 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal -9 binary64) x) #s(literal 2 binary64)) #s(literal -1/2 binary64))
(pow.f64 (*.f64 #s(literal 9 binary64) x) #s(literal -1 binary64))
(/.f64 (neg.f64 (neg.f64 (pow.f64 x #s(literal -1 binary64)))) #s(literal 9 binary64))
(/.f64 (neg.f64 (pow.f64 x #s(literal -1 binary64))) #s(literal -9 binary64))
(/.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 9 binary64))
(/.f64 #s(literal -1/9 binary64) (neg.f64 (neg.f64 (neg.f64 x))))
(/.f64 #s(literal -1/9 binary64) (neg.f64 x))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 9 binary64) (pow.f64 x #s(literal -1 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (neg.f64 (*.f64 #s(literal -9 binary64) x))))
(/.f64 #s(literal -1 binary64) (*.f64 #s(literal -9 binary64) x))
(/.f64 #s(literal 1/9 binary64) (neg.f64 (neg.f64 x)))
(/.f64 #s(literal 1/9 binary64) x)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 9 binary64) (pow.f64 x #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 #s(literal -9 binary64) x)))
(/.f64 #s(literal 1 binary64) (*.f64 #s(literal 9 binary64) x))
(neg.f64 (/.f64 #s(literal -1/9 binary64) x))
(exp.f64 (log.f64 (/.f64 #s(literal 1/9 binary64) x)))
(*.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y (/.f64 #s(literal -1/9 binary64) x))) (-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y (/.f64 #s(literal -1/9 binary64) x)) #s(literal 4 binary64)))) #s(literal -1 binary64)) (pow.f64 (+.f64 (pow.f64 (fma.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y (/.f64 #s(literal -1/9 binary64) x)) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y (/.f64 #s(literal -1/9 binary64) x))) (-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y (/.f64 #s(literal -1/9 binary64) x)) #s(literal 6 binary64)))) #s(literal -1 binary64)) (pow.f64 (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y (/.f64 #s(literal -1/9 binary64) x)) #s(literal 4 binary64))) (pow.f64 (fma.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y (/.f64 #s(literal -1/9 binary64) x)) #s(literal 2 binary64))) #s(literal -1 binary64)))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y (/.f64 #s(literal -1/9 binary64) x)) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y (/.f64 #s(literal -1/9 binary64) x)) #s(literal 3 binary64)))) (fma.f64 (fma.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y (/.f64 #s(literal -1/9 binary64) x)) (-.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) y (/.f64 #s(literal 1/9 binary64) x))) #s(literal 1 binary64)))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y (/.f64 #s(literal -1/9 binary64) x)) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y (/.f64 #s(literal -1/9 binary64) x)) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) y (/.f64 #s(literal 1/9 binary64) x))))
(*.f64 (fma.f64 #s(literal -1/27 binary64) (pow.f64 (/.f64 y (sqrt.f64 x)) #s(literal 3 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)) #s(literal 3 binary64))) (pow.f64 (fma.f64 (/.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) y (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x))) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)) #s(literal 2 binary64))) #s(literal -1 binary64)))
(*.f64 (fma.f64 #s(literal -1/27 binary64) (pow.f64 (/.f64 y (sqrt.f64 x)) #s(literal 3 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)) #s(literal 3 binary64))) (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)) (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)) (*.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y)) (/.f64 (pow.f64 (*.f64 #s(literal -1/3 binary64) y) #s(literal 2 binary64)) x)) #s(literal -1 binary64)))
(*.f64 (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)) #s(literal 2 binary64)) (/.f64 (pow.f64 (*.f64 #s(literal -1/3 binary64) y) #s(literal 2 binary64)) x)) (pow.f64 (fma.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) y (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x))) #s(literal -1 binary64)))
(*.f64 (-.f64 (/.f64 (pow.f64 (*.f64 #s(literal -1/3 binary64) y) #s(literal 2 binary64)) x) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)) #s(literal 2 binary64))) (pow.f64 (-.f64 (-.f64 (*.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y) #s(literal 1 binary64)) (/.f64 #s(literal -1/9 binary64) x)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y (/.f64 #s(literal -1/9 binary64) x))) #s(literal -1 binary64)) (pow.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y (/.f64 #s(literal -1/9 binary64) x)) #s(literal 2 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y (/.f64 #s(literal -1/9 binary64) x))) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y (/.f64 #s(literal -1/9 binary64) x)) #s(literal 2 binary64))))
(*.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y (/.f64 #s(literal -1/9 binary64) x)) #s(literal 2 binary64)))) (pow.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y (/.f64 #s(literal -1/9 binary64) x)))) #s(literal -1 binary64)))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y (/.f64 #s(literal -1/9 binary64) x)) #s(literal 2 binary64))) (pow.f64 (-.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y (/.f64 #s(literal -1/9 binary64) x))) #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) y (/.f64 #s(literal 1/9 binary64) x))))
(pow.f64 (/.f64 (fma.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) y (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x))) (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)) #s(literal 2 binary64)) (/.f64 (pow.f64 (*.f64 #s(literal -1/3 binary64) y) #s(literal 2 binary64)) x))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (/.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) y (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x))) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)) #s(literal 2 binary64))) (fma.f64 #s(literal -1/27 binary64) (pow.f64 (/.f64 y (sqrt.f64 x)) #s(literal 3 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)) #s(literal 3 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 (-.f64 (*.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y) #s(literal 1 binary64)) (/.f64 #s(literal -1/9 binary64) x)) (-.f64 (/.f64 (pow.f64 (*.f64 #s(literal -1/3 binary64) y) #s(literal 2 binary64)) x) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)) #s(literal 2 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)) (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)) (*.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y)) (/.f64 (pow.f64 (*.f64 #s(literal -1/3 binary64) y) #s(literal 2 binary64)) x)) (fma.f64 #s(literal -1/27 binary64) (pow.f64 (/.f64 y (sqrt.f64 x)) #s(literal 3 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)) #s(literal 3 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) y (/.f64 #s(literal 1/9 binary64) x))) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) y (/.f64 #s(literal 1/9 binary64) x))) #s(literal -1 binary64)) #s(literal -1 binary64))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y (/.f64 #s(literal -1/9 binary64) x)) #s(literal 4 binary64))) (pow.f64 (-.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y (/.f64 #s(literal -1/9 binary64) x))) #s(literal -1 binary64)))) (neg.f64 (+.f64 (pow.f64 (fma.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y (/.f64 #s(literal -1/9 binary64) x)) #s(literal 2 binary64)) #s(literal 1 binary64))))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y (/.f64 #s(literal -1/9 binary64) x)) #s(literal 6 binary64))) (pow.f64 (-.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y (/.f64 #s(literal -1/9 binary64) x))) #s(literal -1 binary64)))) (neg.f64 (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y (/.f64 #s(literal -1/9 binary64) x)) #s(literal 4 binary64))) (pow.f64 (fma.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y (/.f64 #s(literal -1/9 binary64) x)) #s(literal 2 binary64)))))
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eval166.0ms (2.5%)

Memory
21.4MiB live, 371.5MiB allocated
Compiler

Compiled 41 941 to 3 793 computations (91% saved)

prune36.0ms (0.5%)

Memory
-28.2MiB live, 94.1MiB allocated
Pruning

22 alts after pruning (20 fresh and 2 done)

PrunedKeptTotal
New1 106141 120
Fresh6612
Picked415
Done011
Total1 116221 138
Accuracy
100.0%
Counts
1 138 → 22
Alt Table
Click to see full alt table
StatusAccuracyProgram
66.4%
(fma.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)))
66.4%
(fma.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) (*.f64 #s(literal 1/3 binary64) y) #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)))
99.3%
(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)))))
66.1%
(fma.f64 #s(literal -1/3 binary64) (/.f64 y (sqrt.f64 x)) #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)))
99.5%
(-.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) #s(literal -2 binary64))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
99.3%
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -9 binary64))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
99.5%
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) #s(literal 3 binary64)) (sqrt.f64 x)))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
99.6%
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) (/.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) (/.f64 #s(literal -3 binary64) y)))
99.7%
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
70.3%
(-.f64 #s(approx (- 1 (/ 1 (* x 9))) (/.f64 #s(literal -1/9 binary64) x)) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
66.4%
(-.f64 #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
49.7%
#s(approx (/ (- 1 (* (+ (* (/ -1/3 (sqrt x)) y) (/ -1/9 x)) (+ (* (/ -1/3 (sqrt x)) y) (/ -1/9 x)))) (- 1 (+ (* (/ -1/3 (sqrt x)) y) (/ -1/9 x)))) (/.f64 (/.f64 (pow.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal -1/9 binary64)) #s(literal 2 binary64)) x) (fma.f64 #s(literal -1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal -1/9 binary64))))
47.0%
#s(approx (/ (- 1 (* (+ (* (/ -1/3 (sqrt x)) y) (/ -1/9 x)) (+ (* (/ -1/3 (sqrt x)) y) (/ -1/9 x)))) (- 1 (+ (* (/ -1/3 (sqrt x)) y) (/ -1/9 x)))) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1/81 binary64) x) x)) (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64))))
63.6%
#s(approx (- (- 1 (/ 1 (* x 9))) (/ (pow x -1/2) (/ 3 y))) (/.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal -1/9 binary64)) x))
67.0%
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 (-.f64 (*.f64 x x) (pow.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal 1/9 binary64)) #s(literal 2 binary64))) (*.f64 x (+.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal 1/9 binary64)) x))))
54.3%
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 (-.f64 (*.f64 x x) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal 1/9 binary64)) x)) (*.f64 x x)))
93.3%
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 (-.f64 x #s(approx (+ (* (* (sqrt x) y) 1/3) 1/9) (*.f64 (neg.f64 y) (fma.f64 #s(literal -1/3 binary64) (sqrt.f64 x) (/.f64 #s(literal -1/9 binary64) y))))) x))
62.2%
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 (-.f64 x #s(approx (+ (* (* (sqrt x) y) 1/3) 1/9) #s(literal 1/9 binary64))) x))
31.9%
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 #s(approx (- x (+ (* (* (sqrt x) y) 1/3) 1/9)) (*.f64 #s(literal -1/3 binary64) (*.f64 (sqrt.f64 x) y))) x))
92.8%
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 #s(literal 1 binary64) (/.f64 x (-.f64 x (fma.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal 1/9 binary64))))))
93.0%
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal 1/9 binary64)) x)))
38.7%
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (*.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
Compiler

Compiled 1 078 to 770 computations (28.6% saved)

simplify140.0ms (2.1%)

Memory
10.1MiB live, 162.9MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 x x)
cost-diff0
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 (-.f64 (*.f64 x x) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal 1/9 binary64)) x)) (*.f64 x x)))
cost-diff320
(-.f64 (*.f64 x x) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal 1/9 binary64)) x))
cost-diff640
(/.f64 (-.f64 (*.f64 x x) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal 1/9 binary64)) x)) (*.f64 x x))
cost-diff0
(/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))
cost-diff0
(/.f64 #s(literal -1/9 binary64) x)
cost-diff0
#s(approx (- 1 (/ 1 (* x 9))) (/.f64 #s(literal -1/9 binary64) x))
cost-diff128
(-.f64 #s(approx (- 1 (/ 1 (* x 9))) (/.f64 #s(literal -1/9 binary64) x)) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
cost-diff0
(*.f64 #s(literal -1/3 binary64) (*.f64 (sqrt.f64 x) y))
cost-diff0
#s(approx (- x (+ (* (* (sqrt x) y) 1/3) 1/9)) (*.f64 #s(literal -1/3 binary64) (*.f64 (sqrt.f64 x) y)))
cost-diff0
(/.f64 #s(approx (- x (+ (* (* (sqrt x) y) 1/3) 1/9)) (*.f64 #s(literal -1/3 binary64) (*.f64 (sqrt.f64 x) y))) x)
cost-diff0
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 #s(approx (- x (+ (* (* (sqrt x) y) 1/3) 1/9)) (*.f64 #s(literal -1/3 binary64) (*.f64 (sqrt.f64 x) y))) x))
cost-diff0
#s(approx (+ (* (* (sqrt x) y) 1/3) 1/9) #s(literal 1/9 binary64))
cost-diff0
(-.f64 x #s(approx (+ (* (* (sqrt x) y) 1/3) 1/9) #s(literal 1/9 binary64)))
cost-diff0
(/.f64 (-.f64 x #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 (-.f64 x #s(approx (+ (* (* (sqrt x) y) 1/3) 1/9) #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 #s(literal -1 binary64) (sqrt.f64 x)) (/.f64 #s(literal -3 binary64) y)))
cost-diff320
(/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))
cost-diff1088
(/.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) (/.f64 #s(literal -3 binary64) y))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
050345
075334
1133314
2289304
3685304
41685304
54894304
67957304
08327299
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) (/.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) (/.f64 #s(literal -3 binary64) y)))
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64))))
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))
(*.f64 x #s(literal 9 binary64))
x
#s(literal 9 binary64)
(/.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) (/.f64 #s(literal -3 binary64) y))
(/.f64 #s(literal -1 binary64) (sqrt.f64 x))
#s(literal -1 binary64)
(sqrt.f64 x)
(/.f64 #s(literal -3 binary64) y)
#s(literal -3 binary64)
y
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 (-.f64 x #s(approx (+ (* (* (sqrt x) y) 1/3) 1/9) #s(literal 1/9 binary64))) x))
(/.f64 (-.f64 x #s(approx (+ (* (* (sqrt x) y) 1/3) 1/9) #s(literal 1/9 binary64))) x)
(-.f64 x #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)
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 #s(approx (- x (+ (* (* (sqrt x) y) 1/3) 1/9)) (*.f64 #s(literal -1/3 binary64) (*.f64 (sqrt.f64 x) y))) x))
(/.f64 #s(approx (- x (+ (* (* (sqrt x) y) 1/3) 1/9)) (*.f64 #s(literal -1/3 binary64) (*.f64 (sqrt.f64 x) y))) x)
#s(approx (- x (+ (* (* (sqrt x) y) 1/3) 1/9)) (*.f64 #s(literal -1/3 binary64) (*.f64 (sqrt.f64 x) y)))
(*.f64 #s(literal -1/3 binary64) (*.f64 (sqrt.f64 x) y))
#s(literal -1/3 binary64)
(*.f64 (sqrt.f64 x) y)
(sqrt.f64 x)
x
y
(-.f64 #s(approx (- 1 (/ 1 (* x 9))) (/.f64 #s(literal -1/9 binary64) x)) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
#s(approx (- 1 (/ 1 (* x 9))) (/.f64 #s(literal -1/9 binary64) x))
(/.f64 #s(literal -1/9 binary64) x)
#s(literal -1/9 binary64)
x
(/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))
y
(*.f64 #s(literal 3 binary64) (sqrt.f64 x))
#s(literal 3 binary64)
(sqrt.f64 x)
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 (-.f64 (*.f64 x x) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal 1/9 binary64)) x)) (*.f64 x x)))
(/.f64 (-.f64 (*.f64 x x) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal 1/9 binary64)) x)) (*.f64 x x))
(-.f64 (*.f64 x x) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal 1/9 binary64)) x))
(*.f64 x x)
x
(*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal 1/9 binary64)) x)
(fma.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal 1/9 binary64))
#s(literal 1/3 binary64)
(*.f64 (sqrt.f64 x) y)
(sqrt.f64 x)
y
#s(literal 1/9 binary64)
Outputs
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) (/.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) (/.f64 #s(literal -3 binary64) y)))
(fma.f64 (/.f64 y (sqrt.f64 x)) #s(literal -1/3 binary64) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)))
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64))))
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x))
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))
(/.f64 #s(literal 1/9 binary64) x)
(*.f64 x #s(literal 9 binary64))
(*.f64 #s(literal 9 binary64) x)
x
#s(literal 9 binary64)
(/.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) (/.f64 #s(literal -3 binary64) y))
(/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))
(/.f64 #s(literal -1 binary64) (sqrt.f64 x))
#s(literal -1 binary64)
(sqrt.f64 x)
(/.f64 #s(literal -3 binary64) y)
#s(literal -3 binary64)
y
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 (-.f64 x #s(approx (+ (* (* (sqrt x) y) 1/3) 1/9) #s(literal 1/9 binary64))) x))
(/.f64 (-.f64 x #s(approx (+ (* (* (sqrt x) y) 1/3) 1/9) #s(literal 1/9 binary64))) x)
(-.f64 x #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)
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 #s(approx (- x (+ (* (* (sqrt x) y) 1/3) 1/9)) (*.f64 #s(literal -1/3 binary64) (*.f64 (sqrt.f64 x) y))) x))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 #s(approx (- x (+ (* (* (sqrt x) y) 1/3) 1/9)) (*.f64 (*.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y)) x))
(/.f64 #s(approx (- x (+ (* (* (sqrt x) y) 1/3) 1/9)) (*.f64 #s(literal -1/3 binary64) (*.f64 (sqrt.f64 x) y))) x)
(/.f64 #s(approx (- x (+ (* (* (sqrt x) y) 1/3) 1/9)) (*.f64 (*.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y)) x)
#s(approx (- x (+ (* (* (sqrt x) y) 1/3) 1/9)) (*.f64 #s(literal -1/3 binary64) (*.f64 (sqrt.f64 x) y)))
#s(approx (- x (+ (* (* (sqrt x) y) 1/3) 1/9)) (*.f64 (*.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y))
(*.f64 #s(literal -1/3 binary64) (*.f64 (sqrt.f64 x) y))
(*.f64 (*.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y)
#s(literal -1/3 binary64)
(*.f64 (sqrt.f64 x) y)
(*.f64 y (sqrt.f64 x))
(sqrt.f64 x)
x
y
(-.f64 #s(approx (- 1 (/ 1 (* x 9))) (/.f64 #s(literal -1/9 binary64) x)) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
(fma.f64 (/.f64 y (sqrt.f64 x)) #s(literal -1/3 binary64) #s(approx (- 1 (/ 1 (* x 9))) (/.f64 #s(literal -1/9 binary64) x)))
#s(approx (- 1 (/ 1 (* x 9))) (/.f64 #s(literal -1/9 binary64) x))
(/.f64 #s(literal -1/9 binary64) x)
#s(literal -1/9 binary64)
x
(/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))
y
(*.f64 #s(literal 3 binary64) (sqrt.f64 x))
#s(literal 3 binary64)
(sqrt.f64 x)
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 (-.f64 (*.f64 x x) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal 1/9 binary64)) x)) (*.f64 x x)))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 (-.f64 x (fma.f64 (*.f64 y (sqrt.f64 x)) #s(literal 1/3 binary64) #s(literal 1/9 binary64))) x))
(/.f64 (-.f64 (*.f64 x x) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal 1/9 binary64)) x)) (*.f64 x x))
(/.f64 (-.f64 x (fma.f64 (*.f64 y (sqrt.f64 x)) #s(literal 1/3 binary64) #s(literal 1/9 binary64))) x)
(-.f64 (*.f64 x x) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal 1/9 binary64)) x))
(*.f64 (-.f64 x (fma.f64 (*.f64 y (sqrt.f64 x)) #s(literal 1/3 binary64) #s(literal 1/9 binary64))) x)
(*.f64 x x)
x
(*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal 1/9 binary64)) x)
(*.f64 (fma.f64 (*.f64 y (sqrt.f64 x)) #s(literal 1/3 binary64) #s(literal 1/9 binary64)) x)
(fma.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal 1/9 binary64))
(fma.f64 (*.f64 y (sqrt.f64 x)) #s(literal 1/3 binary64) #s(literal 1/9 binary64))
#s(literal 1/3 binary64)
(*.f64 (sqrt.f64 x) y)
(*.f64 y (sqrt.f64 x))
(sqrt.f64 x)
y
#s(literal 1/9 binary64)

localize119.0ms (1.8%)

Memory
15.8MiB live, 183.1MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.28125
(*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal 1/9 binary64)) x)
accuracy0.36015315429836026
(fma.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal 1/9 binary64))
accuracy5.01560022996247
(-.f64 (*.f64 x x) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal 1/9 binary64)) x))
accuracy28.835341476767486
(/.f64 (-.f64 (*.f64 x x) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal 1/9 binary64)) x)) (*.f64 x x))
accuracy0.23828125
(/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))
accuracy0.26953125
(*.f64 #s(literal 3 binary64) (sqrt.f64 x))
accuracy0.296875
(/.f64 #s(literal -1/9 binary64) x)
accuracy29.790958160092853
#s(approx (- 1 (/ 1 (* x 9))) (/.f64 #s(literal -1/9 binary64) x))
accuracy0.2109375
(*.f64 (sqrt.f64 x) y)
accuracy0.5476531542983603
(*.f64 #s(literal -1/3 binary64) (*.f64 (sqrt.f64 x) y))
accuracy4.243482979580325
(/.f64 #s(approx (- x (+ (* (* (sqrt x) y) 1/3) 1/9)) (*.f64 #s(literal -1/3 binary64) (*.f64 (sqrt.f64 x) y))) x)
accuracy39.13830636552582
#s(approx (- x (+ (* (* (sqrt x) y) 1/3) 1/9)) (*.f64 #s(literal -1/3 binary64) (*.f64 (sqrt.f64 x) y)))
accuracy0.0
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 (-.f64 x #s(approx (+ (* (* (sqrt x) y) 1/3) 1/9) #s(literal 1/9 binary64))) x))
accuracy0.015625
(-.f64 x #s(approx (+ (* (* (sqrt x) y) 1/3) 1/9) #s(literal 1/9 binary64)))
accuracy4.243482979580325
(/.f64 (-.f64 x #s(approx (+ (* (* (sqrt x) y) 1/3) 1/9) #s(literal 1/9 binary64))) x)
accuracy30.678366330940072
#s(approx (+ (* (* (sqrt x) y) 1/3) 1/9) #s(literal 1/9 binary64))
accuracy0.0078125
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) (/.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) (/.f64 #s(literal -3 binary64) y)))
accuracy0.21875
(/.f64 #s(literal -1 binary64) (sqrt.f64 x))
accuracy0.26953125
(/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))
accuracy0.3203125
(/.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) (/.f64 #s(literal -3 binary64) y))
Samples
91.0ms256×0valid
Compiler

Compiled 615 to 92 computations (85% saved)

Precisions
Click to see histograms. Total time spent on operations: 54.0ms
ival-mult: 18.0ms (33.1% of total)
const: 14.0ms (25.7% of total)
ival-div: 12.0ms (22.1% of total)
ival-sub: 5.0ms (9.2% of total)
ival-add: 2.0ms (3.7% of total)
ival-sqrt: 2.0ms (3.7% of total)
exact: 1.0ms (1.8% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series22.0ms (0.3%)

Memory
-2.7MiB live, 35.7MiB allocated
Counts
25 → 69
Calls
Call 1
Inputs
(/.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) (/.f64 #s(literal -3 binary64) y))
(/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) (/.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) (/.f64 #s(literal -3 binary64) y)))
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64))))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 (-.f64 x #s(approx (+ (* (* (sqrt x) y) 1/3) 1/9) #s(literal 1/9 binary64))) x))
(/.f64 (-.f64 x #s(approx (+ (* (* (sqrt x) y) 1/3) 1/9) #s(literal 1/9 binary64))) x)
(-.f64 x #s(approx (+ (* (* (sqrt x) y) 1/3) 1/9) #s(literal 1/9 binary64)))
#s(approx (+ (* (* (sqrt x) y) 1/3) 1/9) #s(literal 1/9 binary64))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 #s(approx (- x (+ (* (* (sqrt x) y) 1/3) 1/9)) (*.f64 #s(literal -1/3 binary64) (*.f64 (sqrt.f64 x) y))) x))
(/.f64 #s(approx (- x (+ (* (* (sqrt x) y) 1/3) 1/9)) (*.f64 #s(literal -1/3 binary64) (*.f64 (sqrt.f64 x) y))) x)
#s(approx (- x (+ (* (* (sqrt x) y) 1/3) 1/9)) (*.f64 #s(literal -1/3 binary64) (*.f64 (sqrt.f64 x) y)))
(*.f64 #s(literal -1/3 binary64) (*.f64 (sqrt.f64 x) y))
(-.f64 #s(approx (- 1 (/ 1 (* x 9))) (/.f64 #s(literal -1/9 binary64) x)) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
#s(approx (- 1 (/ 1 (* x 9))) (/.f64 #s(literal -1/9 binary64) x))
(/.f64 #s(literal -1/9 binary64) x)
(/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))
(/.f64 (-.f64 (*.f64 x x) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal 1/9 binary64)) x)) (*.f64 x x))
(-.f64 (*.f64 x x) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal 1/9 binary64)) x))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 (-.f64 (*.f64 x x) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal 1/9 binary64)) x)) (*.f64 x x)))
(*.f64 x x)
(/.f64 #s(literal -1 binary64) (sqrt.f64 x))
(*.f64 (sqrt.f64 x) y)
(*.f64 #s(literal 3 binary64) (sqrt.f64 x))
(fma.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal 1/9 binary64))
(*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal 1/9 binary64)) x)
Outputs
(* 1/3 (* (sqrt (/ 1 x)) y))
(/ 1/9 x)
(* -1 (/ (+ 1/9 (* 1/3 (* (sqrt x) y))) x))
(/ (- x (+ 1/9 (* 1/3 (* (sqrt x) y)))) x)
(/ -1/9 x)
(/ (- x 1/9) x)
(/ (+ x (* -1 (+ 1/9 (* 1/3 (* (sqrt x) y))))) x)
(* -1 (+ 1/9 (* 1/3 (* (sqrt x) y))))
(- x (+ 1/9 (* 1/3 (* (sqrt x) y))))
(+ 1/9 (* 1/3 (* (sqrt x) y)))
(* -1/3 (* (sqrt x) y))
(* -1 (* x (+ 1/9 (* 1/3 (* (sqrt x) y)))))
(* x (- x (+ 1/9 (* 1/3 (* (sqrt x) y)))))
(pow x 2)
(* -1 (sqrt (/ 1 x)))
(* (sqrt x) y)
(* 3 (sqrt x))
(* x (+ 1/9 (* 1/3 (* (sqrt x) y))))
(- 1 (* 1/3 (* (sqrt (/ 1 x)) y)))
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))
1
(- 1 (* 1/9 (/ 1 x)))
(* x (- 1 (* 1/3 (* (sqrt (/ 1 x)) y))))
(* x (- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x)))))
(* 1/3 (* (sqrt x) y))
(* x (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))
(* (pow x 2) (- 1 (* 1/3 (* (sqrt (/ 1 x)) y))))
(* (pow x 2) (- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x)))))
(* 1/3 (* (sqrt (pow x 3)) y))
(* (pow x 2) (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))
(+ 1 (* 1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))
(- (+ 1 (* 1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))) (* 1/9 (/ 1 x)))
(* x (+ 1 (* 1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))))
(* -1 (* x (- (* 1/9 (/ 1 x)) (+ 1 (* 1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))))))
(* -1/3 (* (sqrt x) (* y (pow (sqrt -1) 2))))
(* -1 (* x (- (* 1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (* 1/9 (/ 1 x)))))
(* 1/3 (* (sqrt 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)))) (* 1/9 (/ 1 x))))
(* (pow x 2) (- 1 (* -1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))))
(* (pow x 2) (- 1 (+ (* -1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (* 1/9 (/ 1 x)))))
(* -1 (* (sqrt x) (* y (pow (sqrt -1) 2))))
(* -3 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1/3 (* (sqrt (pow x 3)) (* y (pow (sqrt -1) 2))))
(* (pow x 2) (+ (* -1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (* 1/9 (/ 1 x))))
(- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))
(- x 1/9)
(- (+ x (* -1/3 (* (sqrt x) y))) 1/9)
1/9
(/ (- (pow x 2) (* 1/9 x)) (pow x 2))
(- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (/ 1/9 x))
(- (pow x 2) (* 1/9 x))
(- (+ (* -1/3 (* (sqrt (pow x 3)) y)) (pow x 2)) (* 1/9 x))
(* 1/9 x)
(+ (* 1/9 x) (* 1/3 (* (sqrt (pow x 3)) y)))
(* -1/3 (* (sqrt (/ 1 x)) y))
(* y (- (/ 1 y) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/9 (* x y)))))
(* y (- (+ (* -1/3 (sqrt (/ 1 x))) (/ 1 y)) (/ 1/9 (* x y))))
(* y (- (/ x y) (+ (* 1/3 (sqrt x)) (* 1/9 (/ 1 y)))))
(* y (+ (* 1/3 (sqrt x)) (* 1/9 (/ 1 y))))
(* -1/3 (* (sqrt (pow x 3)) y))
(* y (- (/ (pow x 2) y) (+ (* 1/9 (/ x y)) (* 1/3 (sqrt (pow x 3))))))
(* y (+ (* 1/9 (/ x y)) (* 1/3 (sqrt (pow x 3)))))
(* -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 (/ (- x 1/9) y)) (* -1/3 (sqrt x)))))
(* -1 (* y (- (* -1/3 (sqrt x)) (* 1/9 (/ 1 y)))))
(* -1 (* y (- (* -1 (/ (- (pow x 2) (* 1/9 x)) y)) (* -1/3 (sqrt (pow x 3))))))
(* -1 (* y (+ (* -1/3 (sqrt (pow x 3))) (* -1/9 (/ x y)))))
Calls

6 calls:

TimeVariablePointExpression
6.0ms
x
@0
((/ (/ -1 (sqrt x)) (/ -3 y)) (/ 1 (* x 9)) (- (- 1 (/ 1 (* x 9))) (/ (/ -1 (sqrt x)) (/ -3 y))) (- 1 (/ 1 (* x 9))) (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/ (- x (+ (* (* (sqrt x) y) 1/3) 1/9)) x) (- x (+ (* (* (sqrt x) y) 1/3) 1/9)) (+ (* (* (sqrt x) y) 1/3) 1/9) (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/ (- x (+ (* (* (sqrt x) y) 1/3) 1/9)) x) (- x (+ (* (* (sqrt x) y) 1/3) 1/9)) (* -1/3 (* (sqrt x) y)) (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (- 1 (/ 1 (* x 9))) (/ -1/9 x) (/ y (* 3 (sqrt x))) (/ (- (* x x) (* (+ (* 1/3 (* (sqrt x) y)) 1/9) x)) (* x x)) (- (* x x) (* (+ (* 1/3 (* (sqrt x) y)) 1/9) x)) (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (* x x) (/ -1 (sqrt x)) (* (sqrt x) y) (* 3 (sqrt x)) (+ (* 1/3 (* (sqrt x) y)) 1/9) (* (+ (* 1/3 (* (sqrt x) y)) 1/9) x))
4.0ms
x
@-inf
((/ (/ -1 (sqrt x)) (/ -3 y)) (/ 1 (* x 9)) (- (- 1 (/ 1 (* x 9))) (/ (/ -1 (sqrt x)) (/ -3 y))) (- 1 (/ 1 (* x 9))) (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/ (- x (+ (* (* (sqrt x) y) 1/3) 1/9)) x) (- x (+ (* (* (sqrt x) y) 1/3) 1/9)) (+ (* (* (sqrt x) y) 1/3) 1/9) (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/ (- x (+ (* (* (sqrt x) y) 1/3) 1/9)) x) (- x (+ (* (* (sqrt x) y) 1/3) 1/9)) (* -1/3 (* (sqrt x) y)) (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (- 1 (/ 1 (* x 9))) (/ -1/9 x) (/ y (* 3 (sqrt x))) (/ (- (* x x) (* (+ (* 1/3 (* (sqrt x) y)) 1/9) x)) (* x x)) (- (* x x) (* (+ (* 1/3 (* (sqrt x) y)) 1/9) x)) (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (* x x) (/ -1 (sqrt x)) (* (sqrt x) y) (* 3 (sqrt x)) (+ (* 1/3 (* (sqrt x) y)) 1/9) (* (+ (* 1/3 (* (sqrt x) y)) 1/9) x))
3.0ms
y
@-inf
((/ (/ -1 (sqrt x)) (/ -3 y)) (/ 1 (* x 9)) (- (- 1 (/ 1 (* x 9))) (/ (/ -1 (sqrt x)) (/ -3 y))) (- 1 (/ 1 (* x 9))) (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/ (- x (+ (* (* (sqrt x) y) 1/3) 1/9)) x) (- x (+ (* (* (sqrt x) y) 1/3) 1/9)) (+ (* (* (sqrt x) y) 1/3) 1/9) (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/ (- x (+ (* (* (sqrt x) y) 1/3) 1/9)) x) (- x (+ (* (* (sqrt x) y) 1/3) 1/9)) (* -1/3 (* (sqrt x) y)) (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (- 1 (/ 1 (* x 9))) (/ -1/9 x) (/ y (* 3 (sqrt x))) (/ (- (* x x) (* (+ (* 1/3 (* (sqrt x) y)) 1/9) x)) (* x x)) (- (* x x) (* (+ (* 1/3 (* (sqrt x) y)) 1/9) x)) (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (* x x) (/ -1 (sqrt x)) (* (sqrt x) y) (* 3 (sqrt x)) (+ (* 1/3 (* (sqrt x) y)) 1/9) (* (+ (* 1/3 (* (sqrt x) y)) 1/9) x))
3.0ms
x
@inf
((/ (/ -1 (sqrt x)) (/ -3 y)) (/ 1 (* x 9)) (- (- 1 (/ 1 (* x 9))) (/ (/ -1 (sqrt x)) (/ -3 y))) (- 1 (/ 1 (* x 9))) (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/ (- x (+ (* (* (sqrt x) y) 1/3) 1/9)) x) (- x (+ (* (* (sqrt x) y) 1/3) 1/9)) (+ (* (* (sqrt x) y) 1/3) 1/9) (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/ (- x (+ (* (* (sqrt x) y) 1/3) 1/9)) x) (- x (+ (* (* (sqrt x) y) 1/3) 1/9)) (* -1/3 (* (sqrt x) y)) (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (- 1 (/ 1 (* x 9))) (/ -1/9 x) (/ y (* 3 (sqrt x))) (/ (- (* x x) (* (+ (* 1/3 (* (sqrt x) y)) 1/9) x)) (* x x)) (- (* x x) (* (+ (* 1/3 (* (sqrt x) y)) 1/9) x)) (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (* x x) (/ -1 (sqrt x)) (* (sqrt x) y) (* 3 (sqrt x)) (+ (* 1/3 (* (sqrt x) y)) 1/9) (* (+ (* 1/3 (* (sqrt x) y)) 1/9) x))
2.0ms
y
@0
((/ (/ -1 (sqrt x)) (/ -3 y)) (/ 1 (* x 9)) (- (- 1 (/ 1 (* x 9))) (/ (/ -1 (sqrt x)) (/ -3 y))) (- 1 (/ 1 (* x 9))) (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/ (- x (+ (* (* (sqrt x) y) 1/3) 1/9)) x) (- x (+ (* (* (sqrt x) y) 1/3) 1/9)) (+ (* (* (sqrt x) y) 1/3) 1/9) (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/ (- x (+ (* (* (sqrt x) y) 1/3) 1/9)) x) (- x (+ (* (* (sqrt x) y) 1/3) 1/9)) (* -1/3 (* (sqrt x) y)) (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (- 1 (/ 1 (* x 9))) (/ -1/9 x) (/ y (* 3 (sqrt x))) (/ (- (* x x) (* (+ (* 1/3 (* (sqrt x) y)) 1/9) x)) (* x x)) (- (* x x) (* (+ (* 1/3 (* (sqrt x) y)) 1/9) x)) (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (* x x) (/ -1 (sqrt x)) (* (sqrt x) y) (* 3 (sqrt x)) (+ (* 1/3 (* (sqrt x) y)) 1/9) (* (+ (* 1/3 (* (sqrt x) y)) 1/9) x))

simplify129.0ms (2%)

Memory
7.0MiB live, 157.2MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0146697
1443682
21461666
34353666
08592616
Stop Event
iter limit
node limit
Counts
69 → 69
Calls
Call 1
Inputs
(* 1/3 (* (sqrt (/ 1 x)) y))
(/ 1/9 x)
(* -1 (/ (+ 1/9 (* 1/3 (* (sqrt x) y))) x))
(/ (- x (+ 1/9 (* 1/3 (* (sqrt x) y)))) x)
(/ -1/9 x)
(/ (- x 1/9) x)
(/ (+ x (* -1 (+ 1/9 (* 1/3 (* (sqrt x) y))))) x)
(* -1 (+ 1/9 (* 1/3 (* (sqrt x) y))))
(- x (+ 1/9 (* 1/3 (* (sqrt x) y))))
(+ 1/9 (* 1/3 (* (sqrt x) y)))
(* -1/3 (* (sqrt x) y))
(* -1 (* x (+ 1/9 (* 1/3 (* (sqrt x) y)))))
(* x (- x (+ 1/9 (* 1/3 (* (sqrt x) y)))))
(pow x 2)
(* -1 (sqrt (/ 1 x)))
(* (sqrt x) y)
(* 3 (sqrt x))
(* x (+ 1/9 (* 1/3 (* (sqrt x) y))))
(- 1 (* 1/3 (* (sqrt (/ 1 x)) y)))
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))
1
(- 1 (* 1/9 (/ 1 x)))
(* x (- 1 (* 1/3 (* (sqrt (/ 1 x)) y))))
(* x (- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x)))))
(* 1/3 (* (sqrt x) y))
(* x (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))
(* (pow x 2) (- 1 (* 1/3 (* (sqrt (/ 1 x)) y))))
(* (pow x 2) (- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x)))))
(* 1/3 (* (sqrt (pow x 3)) y))
(* (pow x 2) (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))
(+ 1 (* 1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))
(- (+ 1 (* 1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))) (* 1/9 (/ 1 x)))
(* x (+ 1 (* 1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))))
(* -1 (* x (- (* 1/9 (/ 1 x)) (+ 1 (* 1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))))))
(* -1/3 (* (sqrt x) (* y (pow (sqrt -1) 2))))
(* -1 (* x (- (* 1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (* 1/9 (/ 1 x)))))
(* 1/3 (* (sqrt 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)))) (* 1/9 (/ 1 x))))
(* (pow x 2) (- 1 (* -1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))))
(* (pow x 2) (- 1 (+ (* -1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (* 1/9 (/ 1 x)))))
(* -1 (* (sqrt x) (* y (pow (sqrt -1) 2))))
(* -3 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1/3 (* (sqrt (pow x 3)) (* y (pow (sqrt -1) 2))))
(* (pow x 2) (+ (* -1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (* 1/9 (/ 1 x))))
(- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))
(- x 1/9)
(- (+ x (* -1/3 (* (sqrt x) y))) 1/9)
1/9
(/ (- (pow x 2) (* 1/9 x)) (pow x 2))
(- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (/ 1/9 x))
(- (pow x 2) (* 1/9 x))
(- (+ (* -1/3 (* (sqrt (pow x 3)) y)) (pow x 2)) (* 1/9 x))
(* 1/9 x)
(+ (* 1/9 x) (* 1/3 (* (sqrt (pow x 3)) y)))
(* -1/3 (* (sqrt (/ 1 x)) y))
(* y (- (/ 1 y) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/9 (* x y)))))
(* y (- (+ (* -1/3 (sqrt (/ 1 x))) (/ 1 y)) (/ 1/9 (* x y))))
(* y (- (/ x y) (+ (* 1/3 (sqrt x)) (* 1/9 (/ 1 y)))))
(* y (+ (* 1/3 (sqrt x)) (* 1/9 (/ 1 y))))
(* -1/3 (* (sqrt (pow x 3)) y))
(* y (- (/ (pow x 2) y) (+ (* 1/9 (/ x y)) (* 1/3 (sqrt (pow x 3))))))
(* y (+ (* 1/9 (/ x y)) (* 1/3 (sqrt (pow x 3)))))
(* -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 (/ (- x 1/9) y)) (* -1/3 (sqrt x)))))
(* -1 (* y (- (* -1/3 (sqrt x)) (* 1/9 (/ 1 y)))))
(* -1 (* y (- (* -1 (/ (- (pow x 2) (* 1/9 x)) y)) (* -1/3 (sqrt (pow x 3))))))
(* -1 (* y (+ (* -1/3 (sqrt (pow x 3))) (* -1/9 (/ x y)))))
Outputs
(* 1/3 (* (sqrt (/ 1 x)) y))
(*.f64 (*.f64 #s(literal 1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(/ 1/9 x)
(/.f64 #s(literal 1/9 binary64) x)
(* -1 (/ (+ 1/9 (* 1/3 (* (sqrt x) y))) x))
(/.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal -1/9 binary64)) x)
(/ (- x (+ 1/9 (* 1/3 (* (sqrt x) y)))) x)
(/.f64 (-.f64 x (fma.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal 1/9 binary64))) x)
(/ -1/9 x)
(/.f64 #s(literal -1/9 binary64) x)
(/ (- x 1/9) x)
(/.f64 (-.f64 x #s(literal 1/9 binary64)) x)
(/ (+ x (* -1 (+ 1/9 (* 1/3 (* (sqrt x) y))))) x)
(/.f64 (-.f64 x (fma.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal 1/9 binary64))) x)
(* -1 (+ 1/9 (* 1/3 (* (sqrt x) y))))
(fma.f64 #s(literal -1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal -1/9 binary64))
(- x (+ 1/9 (* 1/3 (* (sqrt x) y))))
(-.f64 x (fma.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal 1/9 binary64)))
(+ 1/9 (* 1/3 (* (sqrt x) y)))
(fma.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal 1/9 binary64))
(* -1/3 (* (sqrt x) y))
(*.f64 #s(literal -1/3 binary64) (*.f64 (sqrt.f64 x) y))
(* -1 (* x (+ 1/9 (* 1/3 (* (sqrt x) y)))))
(*.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal -1/9 binary64)) x)
(* x (- x (+ 1/9 (* 1/3 (* (sqrt x) y)))))
(*.f64 (-.f64 x (fma.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal 1/9 binary64))) x)
(pow x 2)
(*.f64 x x)
(* -1 (sqrt (/ 1 x)))
(neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(* (sqrt x) y)
(*.f64 (sqrt.f64 x) y)
(* 3 (sqrt x))
(*.f64 (sqrt.f64 x) #s(literal 3 binary64))
(* x (+ 1/9 (* 1/3 (* (sqrt x) y))))
(*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal 1/9 binary64)) x)
(- 1 (* 1/3 (* (sqrt (/ 1 x)) y)))
(fma.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))
(fma.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 (-.f64 x #s(literal 1/9 binary64)) x))
1
#s(literal 1 binary64)
(- 1 (* 1/9 (/ 1 x)))
(/.f64 (-.f64 x #s(literal 1/9 binary64)) x)
(* x (- 1 (* 1/3 (* (sqrt (/ 1 x)) y))))
(fma.f64 (*.f64 x (*.f64 #s(literal -1/3 binary64) y)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) x)
(* x (- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x)))))
(fma.f64 (fma.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) x #s(literal -1/9 binary64))
(* 1/3 (* (sqrt x) y))
(*.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 x) y))
(* x (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))
(fma.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) x) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/9 binary64))
(* (pow x 2) (- 1 (* 1/3 (* (sqrt (/ 1 x)) y))))
(*.f64 (fma.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) (*.f64 x x))
(* (pow x 2) (- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x)))))
(*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) x #s(literal -1/9 binary64)) x)
(* 1/3 (* (sqrt (pow x 3)) y))
(*.f64 (*.f64 #s(literal 1/3 binary64) y) (sqrt.f64 (pow.f64 x #s(literal 3 binary64))))
(* (pow x 2) (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))
(*.f64 (fma.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) x) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/9 binary64)) x)
(+ 1 (* 1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))
(fma.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
(- (+ 1 (* 1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))) (* 1/9 (/ 1 x)))
(fma.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 (-.f64 x #s(literal 1/9 binary64)) x))
(* x (+ 1 (* 1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))))
(fma.f64 (*.f64 x (*.f64 #s(literal -1/3 binary64) y)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) x)
(* -1 (* x (- (* 1/9 (/ 1 x)) (+ 1 (* 1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))))))
(fma.f64 (fma.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) x #s(literal -1/9 binary64))
(* -1/3 (* (sqrt x) (* y (pow (sqrt -1) 2))))
(*.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 x) y))
(* -1 (* x (- (* 1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (* 1/9 (/ 1 x)))))
(fma.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) x) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/9 binary64))
(* 1/3 (* (sqrt x) (* y (pow (sqrt -1) 2))))
(*.f64 #s(literal -1/3 binary64) (*.f64 (sqrt.f64 x) y))
(- 1 (* -1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))
(fma.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
(- 1 (+ (* -1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (* 1/9 (/ 1 x))))
(fma.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 (-.f64 x #s(literal 1/9 binary64)) x))
(* (pow x 2) (- 1 (* -1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))))
(*.f64 (fma.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) (*.f64 x x))
(* (pow x 2) (- 1 (+ (* -1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (* 1/9 (/ 1 x)))))
(*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) x #s(literal -1/9 binary64)) x)
(* -1 (* (sqrt x) (* y (pow (sqrt -1) 2))))
(*.f64 (sqrt.f64 x) y)
(* -3 (* (sqrt x) (pow (sqrt -1) 2)))
(*.f64 (sqrt.f64 x) #s(literal 3 binary64))
(* -1/3 (* (sqrt (pow x 3)) (* y (pow (sqrt -1) 2))))
(*.f64 (*.f64 #s(literal 1/3 binary64) y) (sqrt.f64 (pow.f64 x #s(literal 3 binary64))))
(* (pow x 2) (+ (* -1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (* 1/9 (/ 1 x))))
(*.f64 (fma.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) x) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/9 binary64)) x)
(- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))
(fma.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 (-.f64 x #s(literal 1/9 binary64)) x))
(- x 1/9)
(-.f64 x #s(literal 1/9 binary64))
(- (+ x (* -1/3 (* (sqrt x) y))) 1/9)
(-.f64 x (fma.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal 1/9 binary64)))
1/9
#s(literal 1/9 binary64)
(/ (- (pow x 2) (* 1/9 x)) (pow x 2))
(/.f64 (-.f64 x #s(literal 1/9 binary64)) x)
(- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (/ 1/9 x))
(fma.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 (-.f64 x #s(literal 1/9 binary64)) x))
(- (pow x 2) (* 1/9 x))
(*.f64 (-.f64 x #s(literal 1/9 binary64)) x)
(- (+ (* -1/3 (* (sqrt (pow x 3)) y)) (pow x 2)) (* 1/9 x))
(fma.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) (*.f64 (-.f64 x #s(literal 1/9 binary64)) x))
(* 1/9 x)
(*.f64 #s(literal 1/9 binary64) x)
(+ (* 1/9 x) (* 1/3 (* (sqrt (pow x 3)) y)))
(fma.f64 (*.f64 #s(literal 1/3 binary64) y) (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) (*.f64 #s(literal 1/9 binary64) x))
(* -1/3 (* (sqrt (/ 1 x)) y))
(*.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(* y (- (/ 1 y) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/9 (* x y)))))
(fma.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 (-.f64 x #s(literal 1/9 binary64)) x))
(* y (- (+ (* -1/3 (sqrt (/ 1 x))) (/ 1 y)) (/ 1/9 (* x y))))
(fma.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 (-.f64 x #s(literal 1/9 binary64)) x))
(* y (- (/ x y) (+ (* 1/3 (sqrt x)) (* 1/9 (/ 1 y)))))
(fma.f64 (fma.f64 #s(literal -1/3 binary64) (sqrt.f64 x) (/.f64 x y)) y #s(literal -1/9 binary64))
(* y (+ (* 1/3 (sqrt x)) (* 1/9 (/ 1 y))))
(fma.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal 1/9 binary64))
(* -1/3 (* (sqrt (pow x 3)) y))
(*.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (pow.f64 x #s(literal 3 binary64))))
(* y (- (/ (pow x 2) y) (+ (* 1/9 (/ x y)) (* 1/3 (sqrt (pow x 3))))))
(*.f64 (fma.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) #s(literal -1/3 binary64) (*.f64 x (/.f64 (-.f64 x #s(literal 1/9 binary64)) y))) y)
(* y (+ (* 1/9 (/ x y)) (* 1/3 (sqrt (pow x 3)))))
(fma.f64 (*.f64 #s(literal 1/3 binary64) y) (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) (*.f64 #s(literal 1/9 binary64) x))
(* -1 (* y (- (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* -1/3 (sqrt (/ 1 x))))))
(fma.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 (-.f64 x #s(literal 1/9 binary64)) x))
(* -1 (* y (+ (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* 1/3 (sqrt (/ 1 x))))))
(fma.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 (-.f64 x #s(literal 1/9 binary64)) x))
(* -1 (* y (- (* -1 (/ (- x 1/9) y)) (* -1/3 (sqrt x)))))
(fma.f64 (fma.f64 #s(literal -1/3 binary64) (sqrt.f64 x) (/.f64 x y)) y #s(literal -1/9 binary64))
(* -1 (* y (- (* -1/3 (sqrt x)) (* 1/9 (/ 1 y)))))
(fma.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal 1/9 binary64))
(* -1 (* y (- (* -1 (/ (- (pow x 2) (* 1/9 x)) y)) (* -1/3 (sqrt (pow x 3))))))
(*.f64 (fma.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) #s(literal -1/3 binary64) (*.f64 x (/.f64 (-.f64 x #s(literal 1/9 binary64)) y))) y)
(* -1 (* y (+ (* -1/3 (sqrt (pow x 3))) (* -1/9 (/ x y)))))
(fma.f64 (*.f64 #s(literal 1/3 binary64) y) (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) (*.f64 #s(literal 1/9 binary64) x))

rewrite458.0ms (7%)

Memory
-179.4MiB live, 264.2MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
050308
075297
1300271
22579271
08696266
Stop Event
iter limit
node limit
iter limit
Counts
25 → 723
Calls
Call 1
Inputs
(/.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) (/.f64 #s(literal -3 binary64) y))
(/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) (/.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) (/.f64 #s(literal -3 binary64) y)))
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64))))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 (-.f64 x #s(approx (+ (* (* (sqrt x) y) 1/3) 1/9) #s(literal 1/9 binary64))) x))
(/.f64 (-.f64 x #s(approx (+ (* (* (sqrt x) y) 1/3) 1/9) #s(literal 1/9 binary64))) x)
(-.f64 x #s(approx (+ (* (* (sqrt x) y) 1/3) 1/9) #s(literal 1/9 binary64)))
#s(approx (+ (* (* (sqrt x) y) 1/3) 1/9) #s(literal 1/9 binary64))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 #s(approx (- x (+ (* (* (sqrt x) y) 1/3) 1/9)) (*.f64 #s(literal -1/3 binary64) (*.f64 (sqrt.f64 x) y))) x))
(/.f64 #s(approx (- x (+ (* (* (sqrt x) y) 1/3) 1/9)) (*.f64 #s(literal -1/3 binary64) (*.f64 (sqrt.f64 x) y))) x)
#s(approx (- x (+ (* (* (sqrt x) y) 1/3) 1/9)) (*.f64 #s(literal -1/3 binary64) (*.f64 (sqrt.f64 x) y)))
(*.f64 #s(literal -1/3 binary64) (*.f64 (sqrt.f64 x) y))
(-.f64 #s(approx (- 1 (/ 1 (* x 9))) (/.f64 #s(literal -1/9 binary64) x)) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
#s(approx (- 1 (/ 1 (* x 9))) (/.f64 #s(literal -1/9 binary64) x))
(/.f64 #s(literal -1/9 binary64) x)
(/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))
(/.f64 (-.f64 (*.f64 x x) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal 1/9 binary64)) x)) (*.f64 x x))
(-.f64 (*.f64 x x) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal 1/9 binary64)) x))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 (-.f64 (*.f64 x x) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal 1/9 binary64)) x)) (*.f64 x x)))
(*.f64 x x)
(/.f64 #s(literal -1 binary64) (sqrt.f64 x))
(*.f64 (sqrt.f64 x) y)
(*.f64 #s(literal 3 binary64) (sqrt.f64 x))
(fma.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal 1/9 binary64))
(*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal 1/9 binary64)) x)
Outputs
(*.f64 (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 1/4 binary64))) (/.f64 (*.f64 #s(literal -1/3 binary64) y) (pow.f64 x #s(literal 1/4 binary64))))
(*.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 1/4 binary64))) (/.f64 y (pow.f64 x #s(literal 1/4 binary64))))
(*.f64 (/.f64 y (pow.f64 x #s(literal 1/4 binary64))) (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 1/4 binary64))))
(*.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) (/.f64 y #s(literal -1 binary64)))
(*.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) (*.f64 #s(literal 1/3 binary64) y))
(*.f64 (/.f64 y #s(literal -1 binary64)) (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal -1 binary64))) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)))
(*.f64 (/.f64 #s(literal -1 binary64) (pow.f64 y #s(literal -1 binary64))) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal -3 binary64)))
(*.f64 (/.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) (pow.f64 y #s(literal -1 binary64))) #s(literal -1/3 binary64))
(*.f64 (pow.f64 (/.f64 (/.f64 #s(literal 3 binary64) y) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 x #s(literal -1/2 binary64)))
(*.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal -3 binary64)) (/.f64 #s(literal 1 binary64) (pow.f64 (neg.f64 y) #s(literal -1 binary64))))
(*.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal -3 binary64)) (/.f64 #s(literal -1 binary64) (pow.f64 y #s(literal -1 binary64))))
(*.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal -3 binary64)) (neg.f64 y))
(*.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64)) (*.f64 #s(literal -1/3 binary64) y))
(*.f64 (/.f64 y (sqrt.f64 x)) #s(literal 1/3 binary64))
(*.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 y #s(literal -1 binary64))) #s(literal 1/3 binary64))
(*.f64 (*.f64 #s(literal 1/3 binary64) y) (pow.f64 x #s(literal -1/2 binary64)))
(*.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (/.f64 #s(literal -1 binary64) (pow.f64 (neg.f64 y) #s(literal -1 binary64))))
(*.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal -1 binary64))))
(*.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (pow.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (/.f64 y #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) y)
(*.f64 (*.f64 #s(literal -1/3 binary64) y) (/.f64 #s(literal -1 binary64) (sqrt.f64 x)))
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 (*.f64 #s(literal -1/3 binary64) y) #s(literal -1 binary64)))
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (*.f64 #s(literal 1/3 binary64) y))
(*.f64 (neg.f64 y) (pow.f64 (*.f64 #s(literal -3 binary64) (sqrt.f64 x)) #s(literal -1 binary64)))
(*.f64 #s(literal -1/3 binary64) (/.f64 y (neg.f64 (sqrt.f64 x))))
(*.f64 #s(literal -1/3 binary64) (/.f64 (neg.f64 y) (sqrt.f64 x)))
(*.f64 #s(literal -1/3 binary64) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 (neg.f64 y) #s(literal -1 binary64))))
(*.f64 #s(literal -1/3 binary64) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (neg.f64 (pow.f64 y #s(literal -1 binary64)))))
(*.f64 #s(literal -1/3 binary64) (/.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) (pow.f64 y #s(literal -1 binary64))))
(*.f64 #s(literal -1/3 binary64) (pow.f64 (/.f64 (neg.f64 (pow.f64 y #s(literal -1 binary64))) (pow.f64 x #s(literal -1/2 binary64))) #s(literal -1 binary64)))
(*.f64 #s(literal 1/3 binary64) (/.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) (pow.f64 (neg.f64 y) #s(literal -1 binary64))))
(*.f64 #s(literal 1/3 binary64) (pow.f64 (/.f64 (sqrt.f64 x) y) #s(literal -1 binary64)))
(*.f64 #s(literal 1/3 binary64) (pow.f64 (/.f64 (pow.f64 y #s(literal -1 binary64)) (pow.f64 x #s(literal -1/2 binary64))) #s(literal -1 binary64)))
(*.f64 #s(literal 1/3 binary64) (/.f64 y (sqrt.f64 x)))
(*.f64 #s(literal 1/3 binary64) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 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 #s(literal -1 binary64) (sqrt.f64 x)) (*.f64 #s(literal -1/3 binary64) y))
(*.f64 #s(literal -1 binary64) (/.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal -3 binary64)) (pow.f64 y #s(literal -1 binary64))))
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 x)))
(*.f64 #s(literal -1 binary64) (/.f64 y (*.f64 #s(literal -3 binary64) (sqrt.f64 x))))
(pow.f64 (*.f64 (/.f64 #s(literal -3 binary64) y) (neg.f64 (sqrt.f64 x))) #s(literal -1 binary64))
(pow.f64 (/.f64 (sqrt.f64 x) (*.f64 #s(literal 1/3 binary64) 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 (/.f64 (*.f64 #s(literal -3 binary64) (sqrt.f64 x)) y) #s(literal -1 binary64)) #s(literal -1 binary64))
(pow.f64 (neg.f64 (/.f64 (*.f64 #s(literal -3 binary64) (sqrt.f64 x)) y)) #s(literal -1 binary64))
(pow.f64 (*.f64 (neg.f64 (sqrt.f64 x)) (/.f64 #s(literal -3 binary64) y)) #s(literal -1 binary64))
(pow.f64 (/.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) y) #s(literal -1 binary64))
(/.f64 (neg.f64 (/.f64 y (sqrt.f64 x))) #s(literal -3 binary64))
(/.f64 (neg.f64 (*.f64 #s(literal -1 binary64) (*.f64 #s(literal -1/3 binary64) y))) (neg.f64 (sqrt.f64 x)))
(/.f64 (neg.f64 (*.f64 y #s(literal 1 binary64))) (*.f64 #s(literal -3 binary64) (sqrt.f64 x)))
(/.f64 (neg.f64 (*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) #s(literal 1 binary64))) (/.f64 #s(literal 3 binary64) y))
(/.f64 (neg.f64 (neg.f64 (*.f64 #s(literal 1/3 binary64) y))) (neg.f64 (neg.f64 (sqrt.f64 x))))
(/.f64 (neg.f64 (neg.f64 (neg.f64 y))) (neg.f64 (neg.f64 (*.f64 #s(literal -3 binary64) (sqrt.f64 x)))))
(/.f64 (neg.f64 (*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) y)) #s(literal 3 binary64))
(/.f64 (/.f64 y (sqrt.f64 x)) #s(literal 3 binary64))
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) y) #s(literal -3 binary64))
(/.f64 (*.f64 #s(literal -1 binary64) (*.f64 #s(literal -1/3 binary64) y)) (sqrt.f64 x))
(/.f64 (neg.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) (neg.f64 (pow.f64 y #s(literal -1 binary64))))
(/.f64 (neg.f64 (*.f64 #s(literal -1/3 binary64) y)) (neg.f64 (*.f64 (sqrt.f64 x) #s(literal -1 binary64))))
(/.f64 (neg.f64 (*.f64 #s(literal -1/3 binary64) y)) (neg.f64 (neg.f64 (sqrt.f64 x))))
(/.f64 (neg.f64 (*.f64 #s(literal 1/3 binary64) y)) (neg.f64 (sqrt.f64 x)))
(/.f64 (neg.f64 (neg.f64 y)) (neg.f64 (*.f64 #s(literal -3 binary64) (sqrt.f64 x))))
(/.f64 (*.f64 y #s(literal 1 binary64)) (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) #s(literal 1 binary64)) (/.f64 #s(literal -3 binary64) y))
(/.f64 (*.f64 #s(literal 1/3 binary64) y) (sqrt.f64 x))
(/.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (pow.f64 y #s(literal -1 binary64)))
(/.f64 (*.f64 #s(literal -1/3 binary64) y) (*.f64 (sqrt.f64 x) #s(literal -1 binary64)))
(/.f64 (*.f64 #s(literal -1/3 binary64) y) (neg.f64 (sqrt.f64 x)))
(/.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 #s(literal 3 binary64) y))
(/.f64 (neg.f64 y) (*.f64 #s(literal -3 binary64) (sqrt.f64 x)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) y))))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -3 binary64) y) (neg.f64 (sqrt.f64 x))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 x) (*.f64 #s(literal 1/3 binary64) 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 (/.f64 (*.f64 #s(literal -3 binary64) (sqrt.f64 x)) y) #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (*.f64 #s(literal -3 binary64) (sqrt.f64 x)) y)))
(/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (sqrt.f64 x)) (/.f64 #s(literal -3 binary64) y)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) y))
(/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))
(/.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) (/.f64 #s(literal -3 binary64) y))
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (/.f64 #s(literal -3 binary64) y) (neg.f64 (sqrt.f64 x)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (sqrt.f64 x) (*.f64 #s(literal 1/3 binary64) y))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) y) #s(literal 1 binary64))))
(/.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 (neg.f64 (sqrt.f64 x)) (/.f64 #s(literal -3 binary64) y))))
(/.f64 #s(literal -1 binary64) (neg.f64 (neg.f64 (/.f64 (*.f64 #s(literal -3 binary64) (sqrt.f64 x)) y))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) y)))
(/.f64 #s(literal -1 binary64) (/.f64 (*.f64 #s(literal -3 binary64) (sqrt.f64 x)) y))
(neg.f64 (/.f64 y (*.f64 #s(literal -3 binary64) (sqrt.f64 x))))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal 3 binary64) y)) (/.f64 y (*.f64 #s(literal -3 binary64) (sqrt.f64 x))))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 #s(literal -3 binary64) (sqrt.f64 x))) (/.f64 y (*.f64 #s(literal -3 binary64) (sqrt.f64 x))))
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) y)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (*.f64 #s(literal 9 binary64) x) #s(literal -1/2 binary64)) (pow.f64 (*.f64 #s(literal 9 binary64) x) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1/9 binary64))
(*.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/9 binary64) x))
(pow.f64 (pow.f64 (*.f64 #s(literal 9 binary64) x) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (/.f64 #s(literal 9 binary64) (pow.f64 x #s(literal -1 binary64))) #s(literal -1 binary64))
(pow.f64 (neg.f64 (*.f64 #s(literal -9 binary64) x)) #s(literal -1 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal -9 binary64) x) #s(literal 2 binary64)) #s(literal -1/2 binary64))
(pow.f64 (*.f64 #s(literal 9 binary64) x) #s(literal -1 binary64))
(/.f64 (neg.f64 (neg.f64 (pow.f64 x #s(literal -1 binary64)))) #s(literal 9 binary64))
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(/.f64 (neg.f64 (fma.f64 (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64)) #s(literal 1/27 binary64) #s(literal 1/729 binary64))) (neg.f64 (+.f64 #s(literal 1/81 binary64) (-.f64 (*.f64 (pow.f64 (*.f64 #s(literal 1/3 binary64) y) #s(literal 2 binary64)) x) (*.f64 (*.f64 y (sqrt.f64 x)) #s(literal 1/27 binary64))))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64)) #s(literal 1/27 binary64) #s(literal 1/729 binary64))) (neg.f64 (fma.f64 (pow.f64 (*.f64 #s(literal 1/3 binary64) y) #s(literal 2 binary64)) x (-.f64 #s(literal 1/81 binary64) (*.f64 (*.f64 y (sqrt.f64 x)) #s(literal 1/27 binary64))))))
(/.f64 (fma.f64 (pow.f64 (*.f64 #s(literal 1/3 binary64) y) #s(literal 2 binary64)) x #s(literal -1/81 binary64)) (fma.f64 (*.f64 y (sqrt.f64 x)) #s(literal 1/3 binary64) #s(literal -1/9 binary64)))
(/.f64 (fma.f64 (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64)) #s(literal 1/27 binary64) #s(literal 1/729 binary64)) (+.f64 #s(literal 1/81 binary64) (-.f64 (*.f64 (pow.f64 (*.f64 #s(literal 1/3 binary64) y) #s(literal 2 binary64)) x) (*.f64 (*.f64 y (sqrt.f64 x)) #s(literal 1/27 binary64)))))
(/.f64 (fma.f64 (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64)) #s(literal 1/27 binary64) #s(literal 1/729 binary64)) (fma.f64 (pow.f64 (*.f64 #s(literal 1/3 binary64) y) #s(literal 2 binary64)) x (-.f64 #s(literal 1/81 binary64) (*.f64 (*.f64 y (sqrt.f64 x)) #s(literal 1/27 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 y (sqrt.f64 x)) #s(literal 1/3 binary64) #s(literal -1/9 binary64)) (fma.f64 (pow.f64 (*.f64 #s(literal 1/3 binary64) y) #s(literal 2 binary64)) x #s(literal -1/81 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (pow.f64 (*.f64 #s(literal 1/3 binary64) y) #s(literal 2 binary64)) x (-.f64 #s(literal 1/81 binary64) (*.f64 (*.f64 y (sqrt.f64 x)) #s(literal 1/27 binary64)))) (fma.f64 (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64)) #s(literal 1/27 binary64) #s(literal 1/729 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (*.f64 y (sqrt.f64 x)) #s(literal 1/3 binary64) #s(literal -1/9 binary64)) (fma.f64 (pow.f64 (*.f64 #s(literal 1/3 binary64) y) #s(literal 2 binary64)) x #s(literal -1/81 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (pow.f64 (*.f64 #s(literal 1/3 binary64) y) #s(literal 2 binary64)) x (-.f64 #s(literal 1/81 binary64) (*.f64 (*.f64 y (sqrt.f64 x)) #s(literal 1/27 binary64)))) (fma.f64 (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64)) #s(literal 1/27 binary64) #s(literal 1/729 binary64)))))
(fma.f64 (*.f64 #s(literal 1/3 binary64) y) (sqrt.f64 x) #s(literal 1/9 binary64))
(fma.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) y #s(literal 1/9 binary64))
(fma.f64 (*.f64 y (sqrt.f64 x)) #s(literal 1/3 binary64) #s(literal 1/9 binary64))
(fma.f64 #s(literal 1/3 binary64) (*.f64 y (sqrt.f64 x)) #s(literal 1/9 binary64))
(fma.f64 y (*.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) #s(literal 1/9 binary64))
(fma.f64 (sqrt.f64 x) (*.f64 #s(literal 1/3 binary64) y) #s(literal 1/9 binary64))
(-.f64 (/.f64 #s(literal 1/81 binary64) (-.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 #s(literal 1/3 binary64) y) (sqrt.f64 x)))) (/.f64 (*.f64 (pow.f64 (*.f64 #s(literal 1/3 binary64) y) #s(literal 2 binary64)) x) (-.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 #s(literal 1/3 binary64) y) (sqrt.f64 x)))))
(-.f64 (/.f64 (*.f64 (pow.f64 (*.f64 #s(literal 1/3 binary64) y) #s(literal 2 binary64)) x) (fma.f64 (*.f64 y (sqrt.f64 x)) #s(literal 1/3 binary64) #s(literal -1/9 binary64))) (/.f64 #s(literal 1/81 binary64) (fma.f64 (*.f64 y (sqrt.f64 x)) #s(literal 1/3 binary64) #s(literal -1/9 binary64))))
(+.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 #s(literal 1/3 binary64) y) (sqrt.f64 x)))
(+.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) y) (sqrt.f64 x)) #s(literal 1/9 binary64))
(*.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) y) (sqrt.f64 x) #s(literal 1/9 binary64)) x)
(*.f64 x (fma.f64 (*.f64 #s(literal 1/3 binary64) y) (sqrt.f64 x) #s(literal 1/9 binary64)))
(/.f64 (+.f64 (pow.f64 (*.f64 #s(literal 1/9 binary64) x) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) y) (sqrt.f64 x)) x) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal 1/9 binary64) x) (*.f64 #s(literal 1/9 binary64) x) (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) y) (sqrt.f64 x)) x) (*.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) y) (sqrt.f64 x)) x)) (*.f64 (*.f64 #s(literal 1/9 binary64) x) (*.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) y) (sqrt.f64 x)) x)))))
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) y) (sqrt.f64 x)) x) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 1/9 binary64) x) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) y) (sqrt.f64 x)) x) (*.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) y) (sqrt.f64 x)) x) (-.f64 (*.f64 (*.f64 #s(literal 1/9 binary64) x) (*.f64 #s(literal 1/9 binary64) x)) (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) y) (sqrt.f64 x)) x) (*.f64 #s(literal 1/9 binary64) x)))))
(/.f64 (+.f64 (pow.f64 (*.f64 x #s(literal 1/9 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 x (*.f64 (*.f64 #s(literal 1/3 binary64) y) (sqrt.f64 x))) #s(literal 3 binary64))) (fma.f64 (*.f64 x #s(literal 1/9 binary64)) (*.f64 x #s(literal 1/9 binary64)) (-.f64 (*.f64 (*.f64 x (*.f64 (*.f64 #s(literal 1/3 binary64) y) (sqrt.f64 x))) (*.f64 x (*.f64 (*.f64 #s(literal 1/3 binary64) y) (sqrt.f64 x)))) (*.f64 (*.f64 x #s(literal 1/9 binary64)) (*.f64 x (*.f64 (*.f64 #s(literal 1/3 binary64) y) (sqrt.f64 x)))))))
(/.f64 (+.f64 (pow.f64 (*.f64 x (*.f64 (*.f64 #s(literal 1/3 binary64) y) (sqrt.f64 x))) #s(literal 3 binary64)) (pow.f64 (*.f64 x #s(literal 1/9 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 x (*.f64 (*.f64 #s(literal 1/3 binary64) y) (sqrt.f64 x))) (*.f64 x (*.f64 (*.f64 #s(literal 1/3 binary64) y) (sqrt.f64 x))) (-.f64 (*.f64 (*.f64 x #s(literal 1/9 binary64)) (*.f64 x #s(literal 1/9 binary64))) (*.f64 (*.f64 x (*.f64 (*.f64 #s(literal 1/3 binary64) y) (sqrt.f64 x))) (*.f64 x #s(literal 1/9 binary64))))))
(/.f64 (neg.f64 (*.f64 (fma.f64 (pow.f64 (*.f64 #s(literal 1/3 binary64) y) #s(literal 2 binary64)) x #s(literal -1/81 binary64)) x)) (neg.f64 (fma.f64 (*.f64 y (sqrt.f64 x)) #s(literal 1/3 binary64) #s(literal -1/9 binary64))))
(/.f64 (neg.f64 (*.f64 (fma.f64 (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64)) #s(literal 1/27 binary64) #s(literal 1/729 binary64)) x)) (neg.f64 (fma.f64 (pow.f64 (*.f64 #s(literal 1/3 binary64) y) #s(literal 2 binary64)) x (-.f64 #s(literal 1/81 binary64) (*.f64 (*.f64 y (sqrt.f64 x)) #s(literal 1/27 binary64))))))
(/.f64 (neg.f64 (*.f64 x (fma.f64 (pow.f64 (*.f64 #s(literal 1/3 binary64) y) #s(literal 2 binary64)) x #s(literal -1/81 binary64)))) (neg.f64 (fma.f64 (*.f64 y (sqrt.f64 x)) #s(literal 1/3 binary64) #s(literal -1/9 binary64))))
(/.f64 (neg.f64 (*.f64 x (fma.f64 (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64)) #s(literal 1/27 binary64) #s(literal 1/729 binary64)))) (neg.f64 (fma.f64 (pow.f64 (*.f64 #s(literal 1/3 binary64) y) #s(literal 2 binary64)) x (-.f64 #s(literal 1/81 binary64) (*.f64 (*.f64 y (sqrt.f64 x)) #s(literal 1/27 binary64))))))
(/.f64 (*.f64 (fma.f64 (pow.f64 (*.f64 #s(literal 1/3 binary64) y) #s(literal 2 binary64)) x #s(literal -1/81 binary64)) x) (fma.f64 (*.f64 y (sqrt.f64 x)) #s(literal 1/3 binary64) #s(literal -1/9 binary64)))
(/.f64 (*.f64 (fma.f64 (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64)) #s(literal 1/27 binary64) #s(literal 1/729 binary64)) x) (fma.f64 (pow.f64 (*.f64 #s(literal 1/3 binary64) y) #s(literal 2 binary64)) x (-.f64 #s(literal 1/81 binary64) (*.f64 (*.f64 y (sqrt.f64 x)) #s(literal 1/27 binary64)))))
(/.f64 (*.f64 x (fma.f64 (pow.f64 (*.f64 #s(literal 1/3 binary64) y) #s(literal 2 binary64)) x #s(literal -1/81 binary64))) (fma.f64 (*.f64 y (sqrt.f64 x)) #s(literal 1/3 binary64) #s(literal -1/9 binary64)))
(/.f64 (*.f64 x (fma.f64 (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64)) #s(literal 1/27 binary64) #s(literal 1/729 binary64))) (fma.f64 (pow.f64 (*.f64 #s(literal 1/3 binary64) y) #s(literal 2 binary64)) x (-.f64 #s(literal 1/81 binary64) (*.f64 (*.f64 y (sqrt.f64 x)) #s(literal 1/27 binary64)))))
(fma.f64 #s(literal 1/9 binary64) x (*.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) y) (sqrt.f64 x)) x))
(fma.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) y) (sqrt.f64 x)) x (*.f64 #s(literal 1/9 binary64) x))
(fma.f64 x #s(literal 1/9 binary64) (*.f64 x (*.f64 (*.f64 #s(literal 1/3 binary64) y) (sqrt.f64 x))))
(fma.f64 x (*.f64 (*.f64 #s(literal 1/3 binary64) y) (sqrt.f64 x)) (*.f64 x #s(literal 1/9 binary64)))
(+.f64 (*.f64 #s(literal 1/9 binary64) x) (*.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) y) (sqrt.f64 x)) x))
(+.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) y) (sqrt.f64 x)) x) (*.f64 #s(literal 1/9 binary64) x))
(+.f64 (*.f64 x #s(literal 1/9 binary64)) (*.f64 x (*.f64 (*.f64 #s(literal 1/3 binary64) y) (sqrt.f64 x))))
(+.f64 (*.f64 x (*.f64 (*.f64 #s(literal 1/3 binary64) y) (sqrt.f64 x))) (*.f64 x #s(literal 1/9 binary64)))

eval80.0ms (1.2%)

Memory
24.4MiB live, 141.7MiB allocated
Compiler

Compiled 23 487 to 2 347 computations (90% saved)

prune25.0ms (0.4%)

Memory
-23.7MiB live, 50.3MiB allocated
Pruning

14 alts after pruning (12 fresh and 2 done)

PrunedKeptTotal
New6737680
Fresh10515
Picked415
Done112
Total68814702
Accuracy
100.0%
Counts
702 → 14
Alt Table
Click to see full alt table
StatusAccuracyProgram
66.4%
(fma.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)))
66.1%
(fma.f64 #s(literal -1/3 binary64) (/.f64 y (sqrt.f64 x)) #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)))
99.5%
(-.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) #s(literal -2 binary64))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
70.4%
(-.f64 #s(approx (- 1 (/ 1 (* x 9))) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -9 binary64) x))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
70.3%
(-.f64 #s(approx (- 1 (/ 1 (* x 9))) (/.f64 #s(literal -1/9 binary64) x)) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
66.3%
(-.f64 #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) (/.f64 #s(literal -3 binary64) y)))
66.4%
(-.f64 #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
63.6%
#s(approx (- (- 1 (/ 1 (* x 9))) (/ (pow x -1/2) (/ 3 y))) (/.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal -1/9 binary64)) x))
93.3%
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 (-.f64 x #s(approx (+ (* (* (sqrt x) y) 1/3) 1/9) (*.f64 (neg.f64 y) (fma.f64 #s(literal -1/3 binary64) (sqrt.f64 x) (/.f64 #s(literal -1/9 binary64) y))))) x))
47.8%
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 (*.f64 (+.f64 #s(approx (+ (* (* (sqrt x) y) 1/3) 1/9) #s(literal 1/9 binary64)) x) (-.f64 x #s(approx (+ (* (* (sqrt x) y) 1/3) 1/9) #s(literal 1/9 binary64)))) (*.f64 x (+.f64 #s(approx (+ (* (* (sqrt x) y) 1/3) 1/9) #s(literal 1/9 binary64)) x))))
32.4%
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 #s(approx (- x (+ (* (* (sqrt x) y) 1/3) 1/9)) (*.f64 (*.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y)) x))
62.1%
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 #s(literal 1 binary64) (/.f64 x (-.f64 x #s(approx (+ (* (* (sqrt x) y) 1/3) 1/9) #s(literal 1/9 binary64))))))
47.3%
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(approx (+ (* (* (sqrt x) y) 1/3) 1/9) #s(literal 1/9 binary64)) x) (*.f64 x x))))
62.2%
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (-.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ (* (* (sqrt x) y) 1/3) 1/9) #s(literal 1/9 binary64)) x)))
Compiler

Compiled 690 to 511 computations (25.9% saved)

simplify125.0ms (1.9%)

Memory
10.2MiB live, 54.7MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 (*.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y)
cost-diff0
#s(approx (- x (+ (* (* (sqrt x) y) 1/3) 1/9)) (*.f64 (*.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y))
cost-diff0
(/.f64 #s(approx (- x (+ (* (* (sqrt x) y) 1/3) 1/9)) (*.f64 (*.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y)) x)
cost-diff0
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 #s(approx (- x (+ (* (* (sqrt x) y) 1/3) 1/9)) (*.f64 (*.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y)) x))
cost-diff0
#s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64))
cost-diff0
(sqrt.f64 x)
cost-diff0
(/.f64 #s(literal -1/3 binary64) (sqrt.f64 x))
cost-diff0
(fma.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)))
cost-diff0
(-.f64 x #s(approx (+ (* (* (sqrt x) y) 1/3) 1/9) #s(literal 1/9 binary64)))
cost-diff0
(/.f64 x (-.f64 x #s(approx (+ (* (* (sqrt x) y) 1/3) 1/9) #s(literal 1/9 binary64))))
cost-diff0
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 #s(literal 1 binary64) (/.f64 x (-.f64 x #s(approx (+ (* (* (sqrt x) y) 1/3) 1/9) #s(literal 1/9 binary64))))))
cost-diff704
(/.f64 #s(literal 1 binary64) (/.f64 x (-.f64 x #s(approx (+ (* (* (sqrt x) y) 1/3) 1/9) #s(literal 1/9 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
(-.f64 #s(literal 1 binary64) (/.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(literal 1 binary64) (/.f64 #s(approx (+ (* (* (sqrt x) y) 1/3) 1/9) #s(literal 1/9 binary64)) x)))
cost-diff0
(*.f64 (sqrt.f64 x) #s(literal 3 binary64))
cost-diff0
(pow.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) #s(literal -2 binary64))
cost-diff0
(-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) #s(literal -2 binary64)))
cost-diff128
(-.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) #s(literal -2 binary64))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
043323
062319
1103309
2204309
3401309
4692309
51280309
62359309
72954309
83357309
93517309
103549309
113555309
123558309
133559309
03559293
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(-.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) #s(literal -2 binary64))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
(-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) #s(literal -2 binary64)))
#s(literal 1 binary64)
(pow.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) #s(literal -2 binary64))
(*.f64 (sqrt.f64 x) #s(literal 3 binary64))
(sqrt.f64 x)
x
#s(literal 3 binary64)
#s(literal -2 binary64)
(/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))
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(approx (+ (* (* (sqrt x) y) 1/3) 1/9) #s(literal 1/9 binary64)) x)))
(-.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ (* (* (sqrt x) y) 1/3) 1/9) #s(literal 1/9 binary64)) x))
#s(literal 1 binary64)
(/.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 x (-.f64 x #s(approx (+ (* (* (sqrt x) y) 1/3) 1/9) #s(literal 1/9 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 x (-.f64 x #s(approx (+ (* (* (sqrt x) y) 1/3) 1/9) #s(literal 1/9 binary64)))))
#s(literal 1 binary64)
(/.f64 x (-.f64 x #s(approx (+ (* (* (sqrt x) y) 1/3) 1/9) #s(literal 1/9 binary64))))
x
(-.f64 x #s(approx (+ (* (* (sqrt x) y) 1/3) 1/9) #s(literal 1/9 binary64)))
#s(approx (+ (* (* (sqrt x) y) 1/3) 1/9) #s(literal 1/9 binary64))
#s(literal 1/9 binary64)
(fma.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)))
(/.f64 #s(literal -1/3 binary64) (sqrt.f64 x))
#s(literal -1/3 binary64)
(sqrt.f64 x)
x
y
#s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64))
#s(literal 1 binary64)
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 #s(approx (- x (+ (* (* (sqrt x) y) 1/3) 1/9)) (*.f64 (*.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y)) x))
(/.f64 #s(approx (- x (+ (* (* (sqrt x) y) 1/3) 1/9)) (*.f64 (*.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y)) x)
#s(approx (- x (+ (* (* (sqrt x) y) 1/3) 1/9)) (*.f64 (*.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y))
(*.f64 (*.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y)
(*.f64 #s(literal -1/3 binary64) (sqrt.f64 x))
#s(literal -1/3 binary64)
(sqrt.f64 x)
x
y
Outputs
(-.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) #s(literal -2 binary64))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
(-.f64 (fma.f64 (/.f64 y (sqrt.f64 x)) #s(literal -1/3 binary64) #s(literal 1 binary64)) (pow.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) #s(literal -2 binary64)))
(-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) #s(literal -2 binary64)))
(-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) #s(literal -2 binary64)))
#s(literal 1 binary64)
(pow.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) #s(literal -2 binary64))
(pow.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) #s(literal -2 binary64))
(*.f64 (sqrt.f64 x) #s(literal 3 binary64))
(*.f64 #s(literal 3 binary64) (sqrt.f64 x))
(sqrt.f64 x)
x
#s(literal 3 binary64)
#s(literal -2 binary64)
(/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))
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(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 (-.f64 x #s(approx (+ (* (* (sqrt x) y) 1/3) 1/9) #s(literal 1/9 binary64))) x))
(-.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ (* (* (sqrt x) y) 1/3) 1/9) #s(literal 1/9 binary64)) x))
(/.f64 (-.f64 x #s(approx (+ (* (* (sqrt x) y) 1/3) 1/9) #s(literal 1/9 binary64))) x)
#s(literal 1 binary64)
(/.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 x (-.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)))) (/.f64 (-.f64 x #s(approx (+ (* (* (sqrt x) y) 1/3) 1/9) #s(literal 1/9 binary64))) x))
(/.f64 #s(literal 1 binary64) (/.f64 x (-.f64 x #s(approx (+ (* (* (sqrt x) y) 1/3) 1/9) #s(literal 1/9 binary64)))))
(/.f64 (-.f64 x #s(approx (+ (* (* (sqrt x) y) 1/3) 1/9) #s(literal 1/9 binary64))) x)
#s(literal 1 binary64)
(/.f64 x (-.f64 x #s(approx (+ (* (* (sqrt x) y) 1/3) 1/9) #s(literal 1/9 binary64))))
x
(-.f64 x #s(approx (+ (* (* (sqrt x) y) 1/3) 1/9) #s(literal 1/9 binary64)))
#s(approx (+ (* (* (sqrt x) y) 1/3) 1/9) #s(literal 1/9 binary64))
#s(literal 1/9 binary64)
(fma.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)))
(fma.f64 (/.f64 y (sqrt.f64 x)) #s(literal -1/3 binary64) #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)))
(/.f64 #s(literal -1/3 binary64) (sqrt.f64 x))
#s(literal -1/3 binary64)
(sqrt.f64 x)
x
y
#s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64))
#s(literal 1 binary64)
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 #s(approx (- x (+ (* (* (sqrt x) y) 1/3) 1/9)) (*.f64 (*.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y)) x))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 #s(approx (- x (+ (* (* (sqrt x) y) 1/3) 1/9)) (*.f64 #s(literal -1/3 binary64) (*.f64 y (sqrt.f64 x)))) x))
(/.f64 #s(approx (- x (+ (* (* (sqrt x) y) 1/3) 1/9)) (*.f64 (*.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y)) x)
(/.f64 #s(approx (- x (+ (* (* (sqrt x) y) 1/3) 1/9)) (*.f64 #s(literal -1/3 binary64) (*.f64 y (sqrt.f64 x)))) x)
#s(approx (- x (+ (* (* (sqrt x) y) 1/3) 1/9)) (*.f64 (*.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y))
#s(approx (- x (+ (* (* (sqrt x) y) 1/3) 1/9)) (*.f64 #s(literal -1/3 binary64) (*.f64 y (sqrt.f64 x))))
(*.f64 (*.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y)
(*.f64 #s(literal -1/3 binary64) (*.f64 y (sqrt.f64 x)))
(*.f64 #s(literal -1/3 binary64) (sqrt.f64 x))
#s(literal -1/3 binary64)
(sqrt.f64 x)
x
y

localize153.0ms (2.3%)

Memory
-1.4MiB live, 107.9MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.234375
(*.f64 (*.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y)
accuracy0.3203125
(*.f64 #s(literal -1/3 binary64) (sqrt.f64 x))
accuracy4.243482979580325
(/.f64 #s(approx (- x (+ (* (* (sqrt x) y) 1/3) 1/9)) (*.f64 (*.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y)) x)
accuracy39.13830636552582
#s(approx (- x (+ (* (* (sqrt x) y) 1/3) 1/9)) (*.f64 (*.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y))
accuracy0.0
(sqrt.f64 x)
accuracy0.08203125
(fma.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)))
accuracy0.38671875
(/.f64 #s(literal -1/3 binary64) (sqrt.f64 x))
accuracy34.01229761791249
#s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64))
accuracy0.015625
(-.f64 x #s(approx (+ (* (* (sqrt x) y) 1/3) 1/9) #s(literal 1/9 binary64)))
accuracy0.20703125
(/.f64 #s(literal 1 binary64) (/.f64 x (-.f64 x #s(approx (+ (* (* (sqrt x) y) 1/3) 1/9) #s(literal 1/9 binary64)))))
accuracy4.215932040546711
(/.f64 x (-.f64 x #s(approx (+ (* (* (sqrt x) y) 1/3) 1/9) #s(literal 1/9 binary64))))
accuracy30.678366330940072
#s(approx (+ (* (* (sqrt x) y) 1/3) 1/9) #s(literal 1/9 binary64))
accuracy0.0
(-.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ (* (* (sqrt x) y) 1/3) 1/9) #s(literal 1/9 binary64)) x))
accuracy0.0
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (-.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ (* (* (sqrt x) y) 1/3) 1/9) #s(literal 1/9 binary64)) x)))
accuracy4.313795479580324
(/.f64 #s(approx (+ (* (* (sqrt x) y) 1/3) 1/9) #s(literal 1/9 binary64)) x)
accuracy30.678366330940072
#s(approx (+ (* (* (sqrt x) y) 1/3) 1/9) #s(literal 1/9 binary64))
accuracy0.23828125
(/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))
accuracy0.26953125
(*.f64 (sqrt.f64 x) #s(literal 3 binary64))
accuracy0.26953125
(*.f64 #s(literal 3 binary64) (sqrt.f64 x))
accuracy0.4815025879159782
(pow.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) #s(literal -2 binary64))
Samples
81.0ms247×0valid
3.0ms1valid
2.0ms2valid
Compiler

Compiled 565 to 82 computations (85.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 68.0ms
ival-div: 31.0ms (45.6% of total)
ival-mult: 12.0ms (17.6% of total)
const: 9.0ms (13.2% of total)
ival-sub: 7.0ms (10.3% of total)
ival-pow: 3.0ms (4.4% of total)
ival-sqrt: 2.0ms (2.9% of total)
ival-add: 2.0ms (2.9% of total)
adjust: 1.0ms (1.5% of total)
exact: 1.0ms (1.5% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series20.0ms (0.3%)

Memory
28.9MiB live, 28.9MiB allocated
Counts
23 → 83
Calls
Call 1
Inputs
(-.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) #s(literal -2 binary64))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
(-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) #s(literal -2 binary64)))
(pow.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) #s(literal -2 binary64))
(*.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(approx (+ (* (* (sqrt x) y) 1/3) 1/9) #s(literal 1/9 binary64)) x)))
(-.f64 #s(literal 1 binary64) (/.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 (-.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)))) (/.f64 #s(literal 1 binary64) (/.f64 x (-.f64 x #s(approx (+ (* (* (sqrt x) y) 1/3) 1/9) #s(literal 1/9 binary64))))))
(/.f64 x (-.f64 x #s(approx (+ (* (* (sqrt x) y) 1/3) 1/9) #s(literal 1/9 binary64))))
(-.f64 x #s(approx (+ (* (* (sqrt x) y) 1/3) 1/9) #s(literal 1/9 binary64)))
(fma.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)))
(/.f64 #s(literal -1/3 binary64) (sqrt.f64 x))
(sqrt.f64 x)
#s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 #s(approx (- x (+ (* (* (sqrt x) y) 1/3) 1/9)) (*.f64 (*.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y)) x))
(/.f64 #s(approx (- x (+ (* (* (sqrt x) y) 1/3) 1/9)) (*.f64 (*.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y)) x)
#s(approx (- x (+ (* (* (sqrt x) y) 1/3) 1/9)) (*.f64 (*.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y))
(*.f64 (*.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y)
(*.f64 #s(literal 3 binary64) (sqrt.f64 x))
(/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))
(*.f64 #s(literal -1/3 binary64) (sqrt.f64 x))
Outputs
(* -1 (/ (+ 1/9 (* 1/3 (* (sqrt x) y))) x))
(/ (- x (+ 1/9 (* 1/3 (* (sqrt x) y)))) x)
(/ -1/9 x)
(/ (- x 1/9) x)
(/ 1/9 x)
(* 3 (sqrt x))
(/ (+ 1/9 (* 1/3 (* (sqrt x) y))) x)
(+ 1/9 (* 1/3 (* (sqrt x) y)))
(/ (+ x (* -1 (+ 1/9 (* 1/3 (* (sqrt x) y))))) x)
(* -1 (/ x (+ 1/9 (* 1/3 (* (sqrt x) y)))))
(* x (- (* -1 (/ x (pow (+ 1/9 (* 1/3 (* (sqrt x) y))) 2))) (/ 1 (+ 1/9 (* 1/3 (* (sqrt x) y))))))
(* x (- (* x (- (* -1 (/ x (pow (+ 1/9 (* 1/3 (* (sqrt x) y))) 3))) (/ 1 (pow (+ 1/9 (* 1/3 (* (sqrt x) y))) 2)))) (/ 1 (+ 1/9 (* 1/3 (* (sqrt x) y))))))
(* x (- (* x (- (* x (- (* -1 (/ x (pow (+ 1/9 (* 1/3 (* (sqrt x) y))) 4))) (/ 1 (pow (+ 1/9 (* 1/3 (* (sqrt x) y))) 3)))) (/ 1 (pow (+ 1/9 (* 1/3 (* (sqrt x) y))) 2)))) (/ 1 (+ 1/9 (* 1/3 (* (sqrt x) y))))))
(* -1 (+ 1/9 (* 1/3 (* (sqrt x) y))))
(- x (+ 1/9 (* 1/3 (* (sqrt x) y))))
(/ (- (* -1/3 (* (sqrt x) y)) 1/9) x)
(/ (- (+ x (* -1/3 (* (sqrt x) y))) 1/9) x)
(* -1/3 (sqrt (/ 1 x)))
(sqrt x)
(* -1/3 (* (sqrt x) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(* -1/3 (sqrt x))
(- 1 (* 1/3 (* (sqrt (/ 1 x)) y)))
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))
1
(- 1 (* 1/9 (/ 1 x)))
(+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x)))
(* 1/3 (* (sqrt x) y))
(* x (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))
(/ 1 (- 1 (* 1/3 (* (sqrt (/ 1 x)) y))))
(+ (* 1/9 (/ 1 (* x (pow (- 1 (* 1/3 (* (sqrt (/ 1 x)) y))) 2)))) (/ 1 (- 1 (* 1/3 (* (sqrt (/ 1 x)) y)))))
(+ (/ 1/81 (* (pow x 2) (pow (- 1 (* 1/3 (* (sqrt (/ 1 x)) y))) 3))) (+ (/ 1/9 (* x (pow (- 1 (* 1/3 (* (sqrt (/ 1 x)) y))) 2))) (/ 1 (- 1 (* 1/3 (* (sqrt (/ 1 x)) y))))))
(+ (/ 1/9 (* x (pow (- 1 (* 1/3 (* (sqrt (/ 1 x)) y))) 2))) (+ (* 1/81 (/ 1 (* (pow x 2) (pow (- 1 (* 1/3 (* (sqrt (/ 1 x)) y))) 3)))) (+ (* 1/729 (/ 1 (* (pow x 3) (pow (- 1 (* 1/3 (* (sqrt (/ 1 x)) y))) 4)))) (/ 1 (- 1 (* 1/3 (* (sqrt (/ 1 x)) y)))))))
(* x (- 1 (* 1/3 (* (sqrt (/ 1 x)) y))))
(* 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 (* 1/9 (/ 1 (* x (pow (sqrt -1) 2))))) (* 1/3 (* (sqrt (/ 1 x)) y)))
(+ 1 (* 1/9 (/ 1 (* x (pow (sqrt -1) 2)))))
(/ -1/9 (* x (pow (sqrt -1) 2)))
(* -3 (* (sqrt x) (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)))) (* 1/9 (/ 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 x) (* y (pow (sqrt -1) 2))))
(* -1 (* x (- (* 1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (* 1/9 (/ 1 x)))))
(+ 1 (* 1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))
(- (+ 1 (* 1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))) (* 1/9 (/ 1 x)))
(/ 1 (+ 1 (* 1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))))
(+ (* 1/9 (/ 1 (* x (pow (+ 1 (* 1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))) 2)))) (/ 1 (+ 1 (* 1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))))
(+ (/ 1/81 (* (pow x 2) (pow (+ 1 (* 1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))) 3))) (+ (/ 1/9 (* x (pow (+ 1 (* 1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))) 2))) (/ 1 (+ 1 (* 1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))))))
(+ (* -1 (/ (- (* -1 (/ (+ (* 1/729 (/ 1 (* x (pow (+ 1 (* 1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))) 4)))) (* 1/81 (/ 1 (pow (+ 1 (* 1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))) 3)))) x)) (* 1/9 (/ 1 (pow (+ 1 (* 1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))) 2)))) x)) (/ 1 (+ 1 (* 1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))))
(* x (+ 1 (* 1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))))
(* -1 (* x (- (* 1/9 (/ 1 x)) (+ 1 (* 1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))))))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* 1/3 (* (sqrt x) (* y (pow (sqrt -1) 2))))
(* 1/3 (* (sqrt x) (pow (sqrt -1) 2)))
1/9
(/ x (- x 1/9))
(+ (* 1/3 (* (sqrt (pow x 3)) (/ y (pow (- x 1/9) 2)))) (/ x (- x 1/9)))
(+ (* y (- (* 1/9 (/ (* (pow x 2) y) (pow (- x 1/9) 3))) (* -1/3 (* (sqrt (pow x 3)) (/ 1 (pow (- x 1/9) 2)))))) (/ x (- x 1/9)))
(+ (* y (- (* y (- (* 1/27 (* (sqrt (pow x 5)) (/ y (pow (- x 1/9) 4)))) (* -1/9 (/ (pow x 2) (pow (- x 1/9) 3))))) (* -1/3 (* (sqrt (pow x 3)) (/ 1 (pow (- x 1/9) 2)))))) (/ x (- x 1/9)))
(- x 1/9)
(- (+ x (* -1/3 (* (sqrt x) y))) 1/9)
(* -1/3 (* (sqrt (/ 1 x)) y))
(* y (- (/ 1 y) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/9 (* x y)))))
(* y (+ (* 1/3 (sqrt (/ 1 x))) (* 1/9 (/ 1 (* x y)))))
(* y (+ (* 1/3 (sqrt x)) (* 1/9 (/ 1 y))))
(* y (- (+ (* -1/3 (sqrt (/ 1 x))) (/ 1 y)) (/ 1/9 (* x y))))
(* -3 (* (sqrt x) (/ 1 y)))
(/ (+ (* -9 (/ (- x 1/9) y)) (* -3 (sqrt x))) y)
(/ (- (+ (* -27 (* (sqrt (/ 1 x)) (/ (pow (- x 1/9) 2) (pow y 2)))) (* -3 (sqrt x))) (* 9 (/ (- x 1/9) y))) y)
(/ (- (+ (* -81 (/ (pow (- x 1/9) 3) (* x (pow y 3)))) (* -3 (sqrt x))) (+ (* 9 (/ (- x 1/9) y)) (* 27 (* (sqrt (/ 1 x)) (/ (pow (- x 1/9) 2) (pow y 2)))))) y)
(* y (- (/ x y) (+ (* 1/3 (sqrt x)) (* 1/9 (/ 1 y)))))
(* -1 (* y (- (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* -1/3 (sqrt (/ 1 x))))))
(* -1 (* y (- (* -1/3 (sqrt (/ 1 x))) (* 1/9 (/ 1 (* x y))))))
(* -1 (* y (- (* -1/3 (sqrt x)) (* 1/9 (/ 1 y)))))
(* -1 (* y (+ (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* 1/3 (sqrt (/ 1 x))))))
(* -1 (/ (+ (* 3 (sqrt x)) (* 9 (/ (- x 1/9) y))) y))
(* -1 (/ (+ (* -1 (/ (- (* -27 (* (sqrt (/ 1 x)) (/ (pow (- x 1/9) 2) y))) (* 9 (- x 1/9))) y)) (* 3 (sqrt x))) y))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (* 81 (/ (pow (- x 1/9) 3) (* x y))) (* -27 (* (sqrt (/ 1 x)) (pow (- x 1/9) 2)))) y)) (* 9 (- x 1/9))) y)) (* 3 (sqrt x))) y))
(* -1 (* y (- (* -1 (/ (- x 1/9) y)) (* -1/3 (sqrt x)))))
Calls

6 calls:

TimeVariablePointExpression
5.0ms
x
@-inf
((- (- 1 (pow (* (sqrt x) 3) -2)) (/ y (* 3 (sqrt x)))) (- 1 (pow (* (sqrt x) 3) -2)) (pow (* (sqrt x) 3) -2) (* (sqrt x) 3) (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (- 1 (/ (+ (* (* (sqrt x) y) 1/3) 1/9) x)) (/ (+ (* (* (sqrt x) y) 1/3) 1/9) x) (+ (* (* (sqrt x) y) 1/3) 1/9) (/ 1 (/ x (- x (+ (* (* (sqrt x) y) 1/3) 1/9)))) (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/ x (- x (+ (* (* (sqrt x) y) 1/3) 1/9))) (- x (+ (* (* (sqrt x) y) 1/3) 1/9)) (+ (* (/ -1/3 (sqrt x)) y) (- 1 (/ 1 (* x 9)))) (/ -1/3 (sqrt x)) (sqrt x) (- 1 (/ 1 (* x 9))) (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/ (- x (+ (* (* (sqrt x) y) 1/3) 1/9)) x) (- x (+ (* (* (sqrt x) y) 1/3) 1/9)) (* (* -1/3 (sqrt x)) y) (* 3 (sqrt x)) (/ y (* 3 (sqrt x))) (* -1/3 (sqrt x)))
3.0ms
x
@0
((- (- 1 (pow (* (sqrt x) 3) -2)) (/ y (* 3 (sqrt x)))) (- 1 (pow (* (sqrt x) 3) -2)) (pow (* (sqrt x) 3) -2) (* (sqrt x) 3) (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (- 1 (/ (+ (* (* (sqrt x) y) 1/3) 1/9) x)) (/ (+ (* (* (sqrt x) y) 1/3) 1/9) x) (+ (* (* (sqrt x) y) 1/3) 1/9) (/ 1 (/ x (- x (+ (* (* (sqrt x) y) 1/3) 1/9)))) (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/ x (- x (+ (* (* (sqrt x) y) 1/3) 1/9))) (- x (+ (* (* (sqrt x) y) 1/3) 1/9)) (+ (* (/ -1/3 (sqrt x)) y) (- 1 (/ 1 (* x 9)))) (/ -1/3 (sqrt x)) (sqrt x) (- 1 (/ 1 (* x 9))) (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/ (- x (+ (* (* (sqrt x) y) 1/3) 1/9)) x) (- x (+ (* (* (sqrt x) y) 1/3) 1/9)) (* (* -1/3 (sqrt x)) y) (* 3 (sqrt x)) (/ y (* 3 (sqrt x))) (* -1/3 (sqrt x)))
3.0ms
x
@inf
((- (- 1 (pow (* (sqrt x) 3) -2)) (/ y (* 3 (sqrt x)))) (- 1 (pow (* (sqrt x) 3) -2)) (pow (* (sqrt x) 3) -2) (* (sqrt x) 3) (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (- 1 (/ (+ (* (* (sqrt x) y) 1/3) 1/9) x)) (/ (+ (* (* (sqrt x) y) 1/3) 1/9) x) (+ (* (* (sqrt x) y) 1/3) 1/9) (/ 1 (/ x (- x (+ (* (* (sqrt x) y) 1/3) 1/9)))) (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/ x (- x (+ (* (* (sqrt x) y) 1/3) 1/9))) (- x (+ (* (* (sqrt x) y) 1/3) 1/9)) (+ (* (/ -1/3 (sqrt x)) y) (- 1 (/ 1 (* x 9)))) (/ -1/3 (sqrt x)) (sqrt x) (- 1 (/ 1 (* x 9))) (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/ (- x (+ (* (* (sqrt x) y) 1/3) 1/9)) x) (- x (+ (* (* (sqrt x) y) 1/3) 1/9)) (* (* -1/3 (sqrt x)) y) (* 3 (sqrt x)) (/ y (* 3 (sqrt x))) (* -1/3 (sqrt x)))
3.0ms
y
@inf
((- (- 1 (pow (* (sqrt x) 3) -2)) (/ y (* 3 (sqrt x)))) (- 1 (pow (* (sqrt x) 3) -2)) (pow (* (sqrt x) 3) -2) (* (sqrt x) 3) (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (- 1 (/ (+ (* (* (sqrt x) y) 1/3) 1/9) x)) (/ (+ (* (* (sqrt x) y) 1/3) 1/9) x) (+ (* (* (sqrt x) y) 1/3) 1/9) (/ 1 (/ x (- x (+ (* (* (sqrt x) y) 1/3) 1/9)))) (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/ x (- x (+ (* (* (sqrt x) y) 1/3) 1/9))) (- x (+ (* (* (sqrt x) y) 1/3) 1/9)) (+ (* (/ -1/3 (sqrt x)) y) (- 1 (/ 1 (* x 9)))) (/ -1/3 (sqrt x)) (sqrt x) (- 1 (/ 1 (* x 9))) (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/ (- x (+ (* (* (sqrt x) y) 1/3) 1/9)) x) (- x (+ (* (* (sqrt x) y) 1/3) 1/9)) (* (* -1/3 (sqrt x)) y) (* 3 (sqrt x)) (/ y (* 3 (sqrt x))) (* -1/3 (sqrt x)))
2.0ms
y
@0
((- (- 1 (pow (* (sqrt x) 3) -2)) (/ y (* 3 (sqrt x)))) (- 1 (pow (* (sqrt x) 3) -2)) (pow (* (sqrt x) 3) -2) (* (sqrt x) 3) (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (- 1 (/ (+ (* (* (sqrt x) y) 1/3) 1/9) x)) (/ (+ (* (* (sqrt x) y) 1/3) 1/9) x) (+ (* (* (sqrt x) y) 1/3) 1/9) (/ 1 (/ x (- x (+ (* (* (sqrt x) y) 1/3) 1/9)))) (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/ x (- x (+ (* (* (sqrt x) y) 1/3) 1/9))) (- x (+ (* (* (sqrt x) y) 1/3) 1/9)) (+ (* (/ -1/3 (sqrt x)) y) (- 1 (/ 1 (* x 9)))) (/ -1/3 (sqrt x)) (sqrt x) (- 1 (/ 1 (* x 9))) (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/ (- x (+ (* (* (sqrt x) y) 1/3) 1/9)) x) (- x (+ (* (* (sqrt x) y) 1/3) 1/9)) (* (* -1/3 (sqrt x)) y) (* 3 (sqrt x)) (/ y (* 3 (sqrt x))) (* -1/3 (sqrt x)))

simplify166.0ms (2.5%)

Memory
-10.2MiB live, 140.8MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02871313
17821274
224311258
368151255
080891160
Stop Event
iter limit
node limit
Counts
83 → 83
Calls
Call 1
Inputs
(* -1 (/ (+ 1/9 (* 1/3 (* (sqrt x) y))) x))
(/ (- x (+ 1/9 (* 1/3 (* (sqrt x) y)))) x)
(/ -1/9 x)
(/ (- x 1/9) x)
(/ 1/9 x)
(* 3 (sqrt x))
(/ (+ 1/9 (* 1/3 (* (sqrt x) y))) x)
(+ 1/9 (* 1/3 (* (sqrt x) y)))
(/ (+ x (* -1 (+ 1/9 (* 1/3 (* (sqrt x) y))))) x)
(* -1 (/ x (+ 1/9 (* 1/3 (* (sqrt x) y)))))
(* x (- (* -1 (/ x (pow (+ 1/9 (* 1/3 (* (sqrt x) y))) 2))) (/ 1 (+ 1/9 (* 1/3 (* (sqrt x) y))))))
(* x (- (* x (- (* -1 (/ x (pow (+ 1/9 (* 1/3 (* (sqrt x) y))) 3))) (/ 1 (pow (+ 1/9 (* 1/3 (* (sqrt x) y))) 2)))) (/ 1 (+ 1/9 (* 1/3 (* (sqrt x) y))))))
(* x (- (* x (- (* x (- (* -1 (/ x (pow (+ 1/9 (* 1/3 (* (sqrt x) y))) 4))) (/ 1 (pow (+ 1/9 (* 1/3 (* (sqrt x) y))) 3)))) (/ 1 (pow (+ 1/9 (* 1/3 (* (sqrt x) y))) 2)))) (/ 1 (+ 1/9 (* 1/3 (* (sqrt x) y))))))
(* -1 (+ 1/9 (* 1/3 (* (sqrt x) y))))
(- x (+ 1/9 (* 1/3 (* (sqrt x) y))))
(/ (- (* -1/3 (* (sqrt x) y)) 1/9) x)
(/ (- (+ x (* -1/3 (* (sqrt x) y))) 1/9) x)
(* -1/3 (sqrt (/ 1 x)))
(sqrt x)
(* -1/3 (* (sqrt x) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(* -1/3 (sqrt x))
(- 1 (* 1/3 (* (sqrt (/ 1 x)) y)))
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))
1
(- 1 (* 1/9 (/ 1 x)))
(+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x)))
(* 1/3 (* (sqrt x) y))
(* x (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))
(/ 1 (- 1 (* 1/3 (* (sqrt (/ 1 x)) y))))
(+ (* 1/9 (/ 1 (* x (pow (- 1 (* 1/3 (* (sqrt (/ 1 x)) y))) 2)))) (/ 1 (- 1 (* 1/3 (* (sqrt (/ 1 x)) y)))))
(+ (/ 1/81 (* (pow x 2) (pow (- 1 (* 1/3 (* (sqrt (/ 1 x)) y))) 3))) (+ (/ 1/9 (* x (pow (- 1 (* 1/3 (* (sqrt (/ 1 x)) y))) 2))) (/ 1 (- 1 (* 1/3 (* (sqrt (/ 1 x)) y))))))
(+ (/ 1/9 (* x (pow (- 1 (* 1/3 (* (sqrt (/ 1 x)) y))) 2))) (+ (* 1/81 (/ 1 (* (pow x 2) (pow (- 1 (* 1/3 (* (sqrt (/ 1 x)) y))) 3)))) (+ (* 1/729 (/ 1 (* (pow x 3) (pow (- 1 (* 1/3 (* (sqrt (/ 1 x)) y))) 4)))) (/ 1 (- 1 (* 1/3 (* (sqrt (/ 1 x)) y)))))))
(* x (- 1 (* 1/3 (* (sqrt (/ 1 x)) y))))
(* 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 (* 1/9 (/ 1 (* x (pow (sqrt -1) 2))))) (* 1/3 (* (sqrt (/ 1 x)) y)))
(+ 1 (* 1/9 (/ 1 (* x (pow (sqrt -1) 2)))))
(/ -1/9 (* x (pow (sqrt -1) 2)))
(* -3 (* (sqrt x) (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)))) (* 1/9 (/ 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 x) (* y (pow (sqrt -1) 2))))
(* -1 (* x (- (* 1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (* 1/9 (/ 1 x)))))
(+ 1 (* 1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))
(- (+ 1 (* 1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))) (* 1/9 (/ 1 x)))
(/ 1 (+ 1 (* 1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))))
(+ (* 1/9 (/ 1 (* x (pow (+ 1 (* 1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))) 2)))) (/ 1 (+ 1 (* 1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))))
(+ (/ 1/81 (* (pow x 2) (pow (+ 1 (* 1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))) 3))) (+ (/ 1/9 (* x (pow (+ 1 (* 1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))) 2))) (/ 1 (+ 1 (* 1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))))))
(+ (* -1 (/ (- (* -1 (/ (+ (* 1/729 (/ 1 (* x (pow (+ 1 (* 1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))) 4)))) (* 1/81 (/ 1 (pow (+ 1 (* 1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))) 3)))) x)) (* 1/9 (/ 1 (pow (+ 1 (* 1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))) 2)))) x)) (/ 1 (+ 1 (* 1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))))
(* x (+ 1 (* 1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))))
(* -1 (* x (- (* 1/9 (/ 1 x)) (+ 1 (* 1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))))))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* 1/3 (* (sqrt x) (* y (pow (sqrt -1) 2))))
(* 1/3 (* (sqrt x) (pow (sqrt -1) 2)))
1/9
(/ x (- x 1/9))
(+ (* 1/3 (* (sqrt (pow x 3)) (/ y (pow (- x 1/9) 2)))) (/ x (- x 1/9)))
(+ (* y (- (* 1/9 (/ (* (pow x 2) y) (pow (- x 1/9) 3))) (* -1/3 (* (sqrt (pow x 3)) (/ 1 (pow (- x 1/9) 2)))))) (/ x (- x 1/9)))
(+ (* y (- (* y (- (* 1/27 (* (sqrt (pow x 5)) (/ y (pow (- x 1/9) 4)))) (* -1/9 (/ (pow x 2) (pow (- x 1/9) 3))))) (* -1/3 (* (sqrt (pow x 3)) (/ 1 (pow (- x 1/9) 2)))))) (/ x (- x 1/9)))
(- x 1/9)
(- (+ x (* -1/3 (* (sqrt x) y))) 1/9)
(* -1/3 (* (sqrt (/ 1 x)) y))
(* y (- (/ 1 y) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/9 (* x y)))))
(* y (+ (* 1/3 (sqrt (/ 1 x))) (* 1/9 (/ 1 (* x y)))))
(* y (+ (* 1/3 (sqrt x)) (* 1/9 (/ 1 y))))
(* y (- (+ (* -1/3 (sqrt (/ 1 x))) (/ 1 y)) (/ 1/9 (* x y))))
(* -3 (* (sqrt x) (/ 1 y)))
(/ (+ (* -9 (/ (- x 1/9) y)) (* -3 (sqrt x))) y)
(/ (- (+ (* -27 (* (sqrt (/ 1 x)) (/ (pow (- x 1/9) 2) (pow y 2)))) (* -3 (sqrt x))) (* 9 (/ (- x 1/9) y))) y)
(/ (- (+ (* -81 (/ (pow (- x 1/9) 3) (* x (pow y 3)))) (* -3 (sqrt x))) (+ (* 9 (/ (- x 1/9) y)) (* 27 (* (sqrt (/ 1 x)) (/ (pow (- x 1/9) 2) (pow y 2)))))) y)
(* y (- (/ x y) (+ (* 1/3 (sqrt x)) (* 1/9 (/ 1 y)))))
(* -1 (* y (- (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* -1/3 (sqrt (/ 1 x))))))
(* -1 (* y (- (* -1/3 (sqrt (/ 1 x))) (* 1/9 (/ 1 (* x y))))))
(* -1 (* y (- (* -1/3 (sqrt x)) (* 1/9 (/ 1 y)))))
(* -1 (* y (+ (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* 1/3 (sqrt (/ 1 x))))))
(* -1 (/ (+ (* 3 (sqrt x)) (* 9 (/ (- x 1/9) y))) y))
(* -1 (/ (+ (* -1 (/ (- (* -27 (* (sqrt (/ 1 x)) (/ (pow (- x 1/9) 2) y))) (* 9 (- x 1/9))) y)) (* 3 (sqrt x))) y))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (* 81 (/ (pow (- x 1/9) 3) (* x y))) (* -27 (* (sqrt (/ 1 x)) (pow (- x 1/9) 2)))) y)) (* 9 (- x 1/9))) y)) (* 3 (sqrt x))) y))
(* -1 (* y (- (* -1 (/ (- x 1/9) y)) (* -1/3 (sqrt x)))))
Outputs
(* -1 (/ (+ 1/9 (* 1/3 (* (sqrt x) y))) x))
(/.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal -1/9 binary64)) x)
(/ (- x (+ 1/9 (* 1/3 (* (sqrt x) y)))) x)
(/.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 (sqrt.f64 x) y) (-.f64 x #s(literal 1/9 binary64))) x)
(/ -1/9 x)
(/.f64 #s(literal -1/9 binary64) x)
(/ (- x 1/9) x)
(/.f64 (-.f64 x #s(literal 1/9 binary64)) x)
(/ 1/9 x)
(/.f64 #s(literal 1/9 binary64) x)
(* 3 (sqrt x))
(*.f64 (sqrt.f64 x) #s(literal 3 binary64))
(/ (+ 1/9 (* 1/3 (* (sqrt x) y))) x)
(/.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal 1/9 binary64)) x)
(+ 1/9 (* 1/3 (* (sqrt x) y)))
(fma.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal 1/9 binary64))
(/ (+ x (* -1 (+ 1/9 (* 1/3 (* (sqrt x) y))))) x)
(/.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 (sqrt.f64 x) y) (-.f64 x #s(literal 1/9 binary64))) x)
(* -1 (/ x (+ 1/9 (* 1/3 (* (sqrt x) y)))))
(/.f64 x (fma.f64 #s(literal -1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal -1/9 binary64)))
(* x (- (* -1 (/ x (pow (+ 1/9 (* 1/3 (* (sqrt x) y))) 2))) (/ 1 (+ 1/9 (* 1/3 (* (sqrt x) y))))))
(*.f64 (-.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal 1/9 binary64))) (/.f64 x (pow.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal 1/9 binary64)) #s(literal 2 binary64)))) x)
(* x (- (* x (- (* -1 (/ x (pow (+ 1/9 (* 1/3 (* (sqrt x) y))) 3))) (/ 1 (pow (+ 1/9 (* 1/3 (* (sqrt x) y))) 2)))) (/ 1 (+ 1/9 (* 1/3 (* (sqrt x) y))))))
(*.f64 (fma.f64 (-.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal 1/9 binary64)) #s(literal 2 binary64))) (/.f64 x (pow.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal 1/9 binary64)) #s(literal 3 binary64)))) x (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal 1/9 binary64)))) x)
(* x (- (* x (- (* x (- (* -1 (/ x (pow (+ 1/9 (* 1/3 (* (sqrt x) y))) 4))) (/ 1 (pow (+ 1/9 (* 1/3 (* (sqrt x) y))) 3)))) (/ 1 (pow (+ 1/9 (* 1/3 (* (sqrt x) y))) 2)))) (/ 1 (+ 1/9 (* 1/3 (* (sqrt x) y))))))
(*.f64 (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal 1/9 binary64)) #s(literal 3 binary64))) (/.f64 x (pow.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal 1/9 binary64)) #s(literal 4 binary64)))) x (/.f64 #s(literal -1 binary64) (pow.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal 1/9 binary64)) #s(literal 2 binary64)))) x (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal 1/9 binary64)))) x)
(* -1 (+ 1/9 (* 1/3 (* (sqrt x) y))))
(fma.f64 #s(literal -1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal -1/9 binary64))
(- x (+ 1/9 (* 1/3 (* (sqrt x) y))))
(fma.f64 #s(literal -1/3 binary64) (*.f64 (sqrt.f64 x) y) (-.f64 x #s(literal 1/9 binary64)))
(/ (- (* -1/3 (* (sqrt x) y)) 1/9) x)
(/.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal -1/9 binary64)) x)
(/ (- (+ x (* -1/3 (* (sqrt x) y))) 1/9) x)
(/.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 (sqrt.f64 x) y) (-.f64 x #s(literal 1/9 binary64))) x)
(* -1/3 (sqrt (/ 1 x)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/3 binary64))
(sqrt x)
(sqrt.f64 x)
(* -1/3 (* (sqrt x) y))
(*.f64 #s(literal -1/3 binary64) (*.f64 (sqrt.f64 x) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(*.f64 (*.f64 #s(literal 1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(* -1/3 (sqrt x))
(*.f64 #s(literal -1/3 binary64) (sqrt.f64 x))
(- 1 (* 1/3 (* (sqrt (/ 1 x)) y)))
(fma.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))
(fma.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 (-.f64 x #s(literal 1/9 binary64)) x))
1
#s(literal 1 binary64)
(- 1 (* 1/9 (/ 1 x)))
(/.f64 (-.f64 x #s(literal 1/9 binary64)) x)
(+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x)))
(fma.f64 (*.f64 #s(literal 1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1/9 binary64) x))
(* 1/3 (* (sqrt x) y))
(*.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 x) y))
(* x (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))
(fma.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) x #s(literal 1/9 binary64))
(/ 1 (- 1 (* 1/3 (* (sqrt (/ 1 x)) y))))
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)))
(+ (* 1/9 (/ 1 (* x (pow (- 1 (* 1/3 (* (sqrt (/ 1 x)) y))) 2)))) (/ 1 (- 1 (* 1/3 (* (sqrt (/ 1 x)) y)))))
(+.f64 (/.f64 (/.f64 #s(literal 1/9 binary64) x) (pow.f64 (fma.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))))
(+ (/ 1/81 (* (pow x 2) (pow (- 1 (* 1/3 (* (sqrt (/ 1 x)) y))) 3))) (+ (/ 1/9 (* x (pow (- 1 (* 1/3 (* (sqrt (/ 1 x)) y))) 2))) (/ 1 (- 1 (* 1/3 (* (sqrt (/ 1 x)) y))))))
(+.f64 (+.f64 (/.f64 (/.f64 #s(literal 1/81 binary64) (*.f64 x x)) (pow.f64 (fma.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)))) (/.f64 (/.f64 #s(literal 1/9 binary64) x) (pow.f64 (fma.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) #s(literal 2 binary64))))
(+ (/ 1/9 (* x (pow (- 1 (* 1/3 (* (sqrt (/ 1 x)) y))) 2))) (+ (* 1/81 (/ 1 (* (pow x 2) (pow (- 1 (* 1/3 (* (sqrt (/ 1 x)) y))) 3)))) (+ (* 1/729 (/ 1 (* (pow x 3) (pow (- 1 (* 1/3 (* (sqrt (/ 1 x)) y))) 4)))) (/ 1 (- 1 (* 1/3 (* (sqrt (/ 1 x)) y)))))))
(+.f64 (+.f64 (/.f64 (/.f64 #s(literal 1/9 binary64) x) (pow.f64 (fma.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) #s(literal 2 binary64))) (/.f64 (/.f64 #s(literal 1/729 binary64) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (fma.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) #s(literal 4 binary64)))) (+.f64 (/.f64 (/.f64 #s(literal 1/81 binary64) (*.f64 x x)) (pow.f64 (fma.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)))))
(* x (- 1 (* 1/3 (* (sqrt (/ 1 x)) y))))
(*.f64 (fma.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) x)
(* x (- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x)))))
(fma.f64 (fma.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) x #s(literal -1/9 binary64))
(+ 1 (* -1/3 (* (sqrt (/ 1 x)) y)))
(fma.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
(- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))
(fma.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 (-.f64 x #s(literal 1/9 binary64)) x))
(- (+ 1 (* 1/9 (/ 1 (* x (pow (sqrt -1) 2))))) (* 1/3 (* (sqrt (/ 1 x)) y)))
(fma.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 (-.f64 x #s(literal 1/9 binary64)) x))
(+ 1 (* 1/9 (/ 1 (* x (pow (sqrt -1) 2)))))
(/.f64 (-.f64 x #s(literal 1/9 binary64)) x)
(/ -1/9 (* x (pow (sqrt -1) 2)))
(/.f64 #s(literal 1/9 binary64) x)
(* -3 (* (sqrt x) (pow (sqrt -1) 2)))
(*.f64 (sqrt.f64 x) #s(literal 3 binary64))
(- 1 (* -1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))
(fma.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
(- 1 (+ (* -1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (* 1/9 (/ 1 x))))
(fma.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 (-.f64 x #s(literal 1/9 binary64)) x))
(* -1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))
(*.f64 (*.f64 #s(literal 1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(+ (* -1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (* 1/9 (/ 1 x)))
(fma.f64 (*.f64 #s(literal 1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1/9 binary64) x))
(* -1/3 (* (sqrt x) (* y (pow (sqrt -1) 2))))
(*.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 x) y))
(* -1 (* x (- (* 1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (* 1/9 (/ 1 x)))))
(fma.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) x #s(literal 1/9 binary64))
(+ 1 (* 1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))
(fma.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
(- (+ 1 (* 1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))) (* 1/9 (/ 1 x)))
(fma.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 (-.f64 x #s(literal 1/9 binary64)) x))
(/ 1 (+ 1 (* 1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))))
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)))
(+ (* 1/9 (/ 1 (* x (pow (+ 1 (* 1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))) 2)))) (/ 1 (+ 1 (* 1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))))
(+.f64 (/.f64 (/.f64 #s(literal 1/9 binary64) x) (pow.f64 (fma.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))))
(+ (/ 1/81 (* (pow x 2) (pow (+ 1 (* 1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))) 3))) (+ (/ 1/9 (* x (pow (+ 1 (* 1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))) 2))) (/ 1 (+ 1 (* 1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))))))
(+.f64 (+.f64 (/.f64 (/.f64 #s(literal 1/81 binary64) (*.f64 x x)) (pow.f64 (fma.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)))) (/.f64 (/.f64 #s(literal 1/9 binary64) x) (pow.f64 (fma.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) #s(literal 2 binary64))))
(+ (* -1 (/ (- (* -1 (/ (+ (* 1/729 (/ 1 (* x (pow (+ 1 (* 1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))) 4)))) (* 1/81 (/ 1 (pow (+ 1 (* 1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))) 3)))) x)) (* 1/9 (/ 1 (pow (+ 1 (* 1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))) 2)))) x)) (/ 1 (+ 1 (* 1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))))
(-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))) (/.f64 (-.f64 (/.f64 #s(literal -1/9 binary64) (pow.f64 (fma.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) #s(literal 2 binary64))) (/.f64 (+.f64 (/.f64 #s(literal 1/81 binary64) (pow.f64 (fma.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) #s(literal 3 binary64))) (/.f64 (/.f64 #s(literal 1/729 binary64) x) (pow.f64 (fma.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) #s(literal 4 binary64)))) x)) x))
(* x (+ 1 (* 1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))))
(*.f64 (fma.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) x)
(* -1 (* x (- (* 1/9 (/ 1 x)) (+ 1 (* 1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))))))
(fma.f64 (fma.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) x #s(literal -1/9 binary64))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(sqrt.f64 x)
(* 1/3 (* (sqrt x) (* y (pow (sqrt -1) 2))))
(*.f64 #s(literal -1/3 binary64) (*.f64 (sqrt.f64 x) y))
(* 1/3 (* (sqrt x) (pow (sqrt -1) 2)))
(*.f64 #s(literal -1/3 binary64) (sqrt.f64 x))
1/9
#s(literal 1/9 binary64)
(/ x (- x 1/9))
(/.f64 x (-.f64 x #s(literal 1/9 binary64)))
(+ (* 1/3 (* (sqrt (pow x 3)) (/ y (pow (- x 1/9) 2)))) (/ x (- x 1/9)))
(fma.f64 (*.f64 (/.f64 y (pow.f64 (-.f64 x #s(literal 1/9 binary64)) #s(literal 2 binary64))) #s(literal 1/3 binary64)) (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) (/.f64 x (-.f64 x #s(literal 1/9 binary64))))
(+ (* y (- (* 1/9 (/ (* (pow x 2) y) (pow (- x 1/9) 3))) (* -1/3 (* (sqrt (pow x 3)) (/ 1 (pow (- x 1/9) 2)))))) (/ x (- x 1/9)))
(fma.f64 (fma.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (-.f64 x #s(literal 1/9 binary64)) #s(literal 2 binary64))) (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) (*.f64 (*.f64 (/.f64 y (pow.f64 (-.f64 x #s(literal 1/9 binary64)) #s(literal 3 binary64))) #s(literal 1/9 binary64)) (*.f64 x x))) y (/.f64 x (-.f64 x #s(literal 1/9 binary64))))
(+ (* y (- (* y (- (* 1/27 (* (sqrt (pow x 5)) (/ y (pow (- x 1/9) 4)))) (* -1/9 (/ (pow x 2) (pow (- x 1/9) 3))))) (* -1/3 (* (sqrt (pow x 3)) (/ 1 (pow (- x 1/9) 2)))))) (/ x (- x 1/9)))
(fma.f64 (fma.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (-.f64 x #s(literal 1/9 binary64)) #s(literal 2 binary64))) (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) (*.f64 (fma.f64 (*.f64 (/.f64 y (pow.f64 (-.f64 x #s(literal 1/9 binary64)) #s(literal 4 binary64))) #s(literal 1/27 binary64)) (sqrt.f64 (pow.f64 x #s(literal 5 binary64))) (/.f64 (*.f64 (*.f64 x x) #s(literal 1/9 binary64)) (pow.f64 (-.f64 x #s(literal 1/9 binary64)) #s(literal 3 binary64)))) y)) y (/.f64 x (-.f64 x #s(literal 1/9 binary64))))
(- x 1/9)
(-.f64 x #s(literal 1/9 binary64))
(- (+ x (* -1/3 (* (sqrt x) y))) 1/9)
(fma.f64 #s(literal -1/3 binary64) (*.f64 (sqrt.f64 x) y) (-.f64 x #s(literal 1/9 binary64)))
(* -1/3 (* (sqrt (/ 1 x)) y))
(*.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(* y (- (/ 1 y) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/9 (* x y)))))
(fma.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 (-.f64 x #s(literal 1/9 binary64)) x))
(* y (+ (* 1/3 (sqrt (/ 1 x))) (* 1/9 (/ 1 (* x y)))))
(fma.f64 (*.f64 #s(literal 1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1/9 binary64) x))
(* y (+ (* 1/3 (sqrt x)) (* 1/9 (/ 1 y))))
(fma.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal 1/9 binary64))
(* y (- (+ (* -1/3 (sqrt (/ 1 x))) (/ 1 y)) (/ 1/9 (* x y))))
(fma.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 (-.f64 x #s(literal 1/9 binary64)) x))
(* -3 (* (sqrt x) (/ 1 y)))
(*.f64 (/.f64 (sqrt.f64 x) y) #s(literal -3 binary64))
(/ (+ (* -9 (/ (- x 1/9) y)) (* -3 (sqrt x))) y)
(/.f64 (fma.f64 #s(literal -3 binary64) (sqrt.f64 x) (/.f64 (fma.f64 #s(literal -9 binary64) x #s(literal 1 binary64)) y)) y)
(/ (- (+ (* -27 (* (sqrt (/ 1 x)) (/ (pow (- x 1/9) 2) (pow y 2)))) (* -3 (sqrt x))) (* 9 (/ (- x 1/9) y))) y)
(/.f64 (fma.f64 #s(literal -3 binary64) (sqrt.f64 x) (/.f64 (fma.f64 (*.f64 (/.f64 (pow.f64 (-.f64 x #s(literal 1/9 binary64)) #s(literal 2 binary64)) y) #s(literal -27 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal -9 binary64) x #s(literal 1 binary64))) y)) y)
(/ (- (+ (* -81 (/ (pow (- x 1/9) 3) (* x (pow y 3)))) (* -3 (sqrt x))) (+ (* 9 (/ (- x 1/9) y)) (* 27 (* (sqrt (/ 1 x)) (/ (pow (- x 1/9) 2) (pow y 2)))))) y)
(/.f64 (fma.f64 (pow.f64 (/.f64 (-.f64 x #s(literal 1/9 binary64)) y) #s(literal 3 binary64)) (/.f64 #s(literal -81 binary64) x) (fma.f64 #s(literal -3 binary64) (sqrt.f64 x) (/.f64 (fma.f64 (*.f64 (/.f64 (pow.f64 (-.f64 x #s(literal 1/9 binary64)) #s(literal 2 binary64)) y) #s(literal -27 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal -9 binary64) x #s(literal 1 binary64))) y))) y)
(* y (- (/ x y) (+ (* 1/3 (sqrt x)) (* 1/9 (/ 1 y)))))
(fma.f64 (fma.f64 #s(literal -1/3 binary64) (sqrt.f64 x) (/.f64 x y)) y #s(literal -1/9 binary64))
(* -1 (* y (- (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* -1/3 (sqrt (/ 1 x))))))
(fma.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 (-.f64 x #s(literal 1/9 binary64)) x))
(* -1 (* y (- (* -1/3 (sqrt (/ 1 x))) (* 1/9 (/ 1 (* x y))))))
(fma.f64 (*.f64 #s(literal 1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1/9 binary64) x))
(* -1 (* y (- (* -1/3 (sqrt x)) (* 1/9 (/ 1 y)))))
(fma.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal 1/9 binary64))
(* -1 (* y (+ (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* 1/3 (sqrt (/ 1 x))))))
(fma.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 (-.f64 x #s(literal 1/9 binary64)) x))
(* -1 (/ (+ (* 3 (sqrt x)) (* 9 (/ (- x 1/9) y))) y))
(/.f64 (fma.f64 #s(literal -3 binary64) (sqrt.f64 x) (/.f64 (fma.f64 #s(literal -9 binary64) x #s(literal 1 binary64)) y)) y)
(* -1 (/ (+ (* -1 (/ (- (* -27 (* (sqrt (/ 1 x)) (/ (pow (- x 1/9) 2) y))) (* 9 (- x 1/9))) y)) (* 3 (sqrt x))) y))
(/.f64 (fma.f64 (sqrt.f64 x) #s(literal 3 binary64) (/.f64 (fma.f64 (*.f64 (/.f64 (pow.f64 (-.f64 x #s(literal 1/9 binary64)) #s(literal 2 binary64)) y) #s(literal -27 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal -9 binary64) x #s(literal 1 binary64))) (neg.f64 y))) (neg.f64 y))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (* 81 (/ (pow (- x 1/9) 3) (* x y))) (* -27 (* (sqrt (/ 1 x)) (pow (- x 1/9) 2)))) y)) (* 9 (- x 1/9))) y)) (* 3 (sqrt x))) y))
(/.f64 (fma.f64 #s(literal -3 binary64) (sqrt.f64 x) (/.f64 (-.f64 (fma.f64 #s(literal -9 binary64) x #s(literal 1 binary64)) (/.f64 (fma.f64 (*.f64 #s(literal 27 binary64) (pow.f64 (-.f64 x #s(literal 1/9 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (/.f64 #s(literal 81 binary64) y) (/.f64 (pow.f64 (-.f64 x #s(literal 1/9 binary64)) #s(literal 3 binary64)) x))) y)) y)) y)
(* -1 (* y (- (* -1 (/ (- x 1/9) y)) (* -1/3 (sqrt x)))))
(fma.f64 (fma.f64 #s(literal -1/3 binary64) (sqrt.f64 x) (/.f64 x y)) y #s(literal -1/9 binary64))

rewrite186.0ms (2.8%)

Memory
24.4MiB live, 178.5MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
043291
062291
1263268
22415268
08366253
Stop Event
iter limit
node limit
iter limit
Counts
23 → 495
Calls
Call 1
Inputs
(-.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) #s(literal -2 binary64))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
(-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) #s(literal -2 binary64)))
(pow.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) #s(literal -2 binary64))
(*.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(approx (+ (* (* (sqrt x) y) 1/3) 1/9) #s(literal 1/9 binary64)) x)))
(-.f64 #s(literal 1 binary64) (/.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 (-.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)))) (/.f64 #s(literal 1 binary64) (/.f64 x (-.f64 x #s(approx (+ (* (* (sqrt x) y) 1/3) 1/9) #s(literal 1/9 binary64))))))
(/.f64 x (-.f64 x #s(approx (+ (* (* (sqrt x) y) 1/3) 1/9) #s(literal 1/9 binary64))))
(-.f64 x #s(approx (+ (* (* (sqrt x) y) 1/3) 1/9) #s(literal 1/9 binary64)))
(fma.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)))
(/.f64 #s(literal -1/3 binary64) (sqrt.f64 x))
(sqrt.f64 x)
#s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 #s(approx (- x (+ (* (* (sqrt x) y) 1/3) 1/9)) (*.f64 (*.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y)) x))
(/.f64 #s(approx (- x (+ (* (* (sqrt x) y) 1/3) 1/9)) (*.f64 (*.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y)) x)
#s(approx (- x (+ (* (* (sqrt x) y) 1/3) 1/9)) (*.f64 (*.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y))
(*.f64 (*.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y)
(*.f64 #s(literal 3 binary64) (sqrt.f64 x))
(/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))
(*.f64 #s(literal -1/3 binary64) (sqrt.f64 x))
Outputs
(*.f64 (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)) #s(literal 2 binary64)) (*.f64 (*.f64 y y) (/.f64 #s(literal 1/9 binary64) x))) (pow.f64 (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(literal -1 binary64)))
(*.f64 (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)) #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y) #s(literal 3 binary64))) (pow.f64 (fma.f64 (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))) (fma.f64 (/.f64 y (sqrt.f64 x)) #s(literal 1/3 binary64) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x))) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)) #s(literal 2 binary64))) #s(literal -1 binary64)))
(pow.f64 (/.f64 (fma.f64 (/.f64 y (sqrt.f64 x)) #s(literal 1/3 binary64) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x))) (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)) #s(literal 2 binary64)) (*.f64 (*.f64 y y) (/.f64 #s(literal 1/9 binary64) x)))) #s(literal -1 binary64))
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eval100.0ms (1.5%)

Memory
-19.9MiB live, 147.6MiB allocated
Compiler

Compiled 21 041 to 2 004 computations (90.5% saved)

prune27.0ms (0.4%)

Memory
-8.7MiB live, 74.4MiB allocated
Pruning

15 alts after pruning (8 fresh and 7 done)

PrunedKeptTotal
New5703573
Fresh257
Picked055
Done022
Total57215587
Accuracy
100.0%
Counts
587 → 15
Alt Table
Click to see full alt table
StatusAccuracyProgram
66.1%
(fma.f64 (/.f64 y (sqrt.f64 x)) #s(literal -1/3 binary64) #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)))
66.4%
(fma.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)))
99.5%
(-.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) #s(literal -2 binary64))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
70.4%
(-.f64 #s(approx (- 1 (/ 1 (* x 9))) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -9 binary64) x))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
70.3%
(-.f64 #s(approx (- 1 (/ 1 (* x 9))) (/.f64 #s(literal -1/9 binary64) x)) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
66.3%
(-.f64 #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) (/.f64 #s(literal -3 binary64) y)))
66.4%
(-.f64 #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
63.6%
#s(approx (- (- 1 (pow (* (sqrt x) 3) -2)) (/ y (* 3 (sqrt x)))) (/.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal -1/9 binary64)) x))
93.3%
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 (-.f64 x #s(approx (+ (* (* (sqrt x) y) 1/3) 1/9) (*.f64 (neg.f64 y) (fma.f64 #s(literal -1/3 binary64) (sqrt.f64 x) (/.f64 #s(literal -1/9 binary64) y))))) x))
47.8%
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 (*.f64 (+.f64 #s(approx (+ (* (* (sqrt x) y) 1/3) 1/9) #s(literal 1/9 binary64)) x) (-.f64 x #s(approx (+ (* (* (sqrt x) y) 1/3) 1/9) #s(literal 1/9 binary64)))) (*.f64 x (+.f64 #s(approx (+ (* (* (sqrt x) y) 1/3) 1/9) #s(literal 1/9 binary64)) x))))
32.4%
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 #s(approx (- x (+ (* (* (sqrt x) y) 1/3) 1/9)) (*.f64 (*.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y)) x))
62.1%
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 #s(literal 1 binary64) (/.f64 x (-.f64 x #s(approx (+ (* (* (sqrt x) y) 1/3) 1/9) #s(literal 1/9 binary64))))))
38.6%
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 #s(literal 1 binary64) #s(approx (/ x (- x (+ (* (* (sqrt x) y) 1/3) 1/9))) (*.f64 (/.f64 (sqrt.f64 x) y) #s(literal -3 binary64)))))
47.3%
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(approx (+ (* (* (sqrt x) y) 1/3) 1/9) #s(literal 1/9 binary64)) x) (*.f64 x x))))
62.2%
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (-.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ (* (* (sqrt x) y) 1/3) 1/9) #s(literal 1/9 binary64)) x)))
Compiler

Compiled 1 445 to 508 computations (64.8% saved)

regimes99.0ms (1.5%)

Memory
0.5MiB live, 38.3MiB allocated
Counts
42 → 1
Calls
Call 1
Inputs
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (-.f64 #s(literal 1 binary64) (/.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 (-.f64 x #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 (*.f64 #s(approx (+ (* (* (sqrt x) y) 1/3) 1/9) #s(literal 1/9 binary64)) x) (*.f64 x x))))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 #s(literal 1 binary64) (/.f64 x (-.f64 x #s(approx (+ (* (* (sqrt x) y) 1/3) 1/9) #s(literal 1/9 binary64))))))
(fma.f64 #s(literal -1/3 binary64) (/.f64 y (sqrt.f64 x)) #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)))
(fma.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)))
(fma.f64 (/.f64 y (sqrt.f64 x)) #s(literal -1/3 binary64) #s(approx (- 1 (/ 1 (* x 9))) #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))))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 (*.f64 (+.f64 #s(approx (+ (* (* (sqrt x) y) 1/3) 1/9) #s(literal 1/9 binary64)) x) (-.f64 x #s(approx (+ (* (* (sqrt x) y) 1/3) 1/9) #s(literal 1/9 binary64)))) (*.f64 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 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 #s(approx (- x (+ (* (* (sqrt x) y) 1/3) 1/9)) (*.f64 #s(literal -1/3 binary64) (*.f64 (sqrt.f64 x) y))) x))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 #s(approx (- x (+ (* (* (sqrt x) y) 1/3) 1/9)) (*.f64 (*.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y)) x))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal -1/9 binary64)) x))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (fma.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ (pow x -1/2) (/ 3 y))) (/.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal -1/9 binary64)) x))
#s(approx (- (- 1 (pow (* (sqrt x) 3) -2)) (/ y (* 3 (sqrt x)))) (/.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal -1/9 binary64)) x))
(fma.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) (*.f64 #s(literal 1/3 binary64) y) #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal 1/9 binary64)) x)))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 (-.f64 x (fma.f64 (*.f64 (sqrt.f64 x) y) #s(literal 1/3 binary64) #s(literal 1/9 binary64))) x))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 #s(literal 1 binary64) #s(approx (/ x (- x (+ (* (* (sqrt x) y) 1/3) 1/9))) (*.f64 (/.f64 (sqrt.f64 x) y) #s(literal -3 binary64)))))
(-.f64 #s(approx (- 1 (/ 1 (* x 9))) (/.f64 #s(literal -1/9 binary64) x)) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
(fma.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)))
(-.f64 #s(approx (- 1 (/ 1 (* x 9))) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -9 binary64) x))) (/.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 x (-.f64 x (fma.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal 1/9 binary64))))))
(-.f64 #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) (/.f64 #s(literal -3 binary64) y)))
(fma.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/9 binary64) (-.f64 #s(literal 1 binary64) (/.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64)))))
(fma.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) (*.f64 #s(literal 1/3 binary64) y) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 (-.f64 x #s(approx (+ (* (* (sqrt x) y) 1/3) 1/9) (*.f64 (neg.f64 y) (fma.f64 #s(literal -1/3 binary64) (sqrt.f64 x) (/.f64 #s(literal -1/9 binary64) y))))) x))
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 (-.f64 (*.f64 x x) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal 1/9 binary64)) x)) (*.f64 x x)))
#s(approx (/ (- 1 (* (+ (* (/ -1/3 (sqrt x)) y) (/ -1/9 x)) (+ (* (/ -1/3 (sqrt x)) y) (/ -1/9 x)))) (- 1 (+ (* (/ -1/3 (sqrt x)) y) (/ -1/9 x)))) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1/81 binary64) x) x)) (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64))))
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 3 binary64) x) #s(literal 3 binary64)))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -9 binary64))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) (/.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) (/.f64 #s(literal -3 binary64) y)))
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) #s(literal 3 binary64)) (sqrt.f64 x)))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y (/.f64 #s(literal -1/9 binary64) x)) (fma.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y (/.f64 #s(literal -1/9 binary64) x)))) (-.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y (/.f64 #s(literal -1/9 binary64) x))))
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 #s(literal 3 binary64) y)))
(-.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) #s(literal -2 binary64))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
#s(approx (/ (- 1 (* (+ (* (/ -1/3 (sqrt x)) y) (/ -1/9 x)) (+ (* (/ -1/3 (sqrt x)) y) (/ -1/9 x)))) (- 1 (+ (* (/ -1/3 (sqrt x)) y) (/ -1/9 x)))) (/.f64 (/.f64 (pow.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal -1/9 binary64)) #s(literal 2 binary64)) x) (fma.f64 #s(literal -1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal -1/9 binary64))))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 (-.f64 (*.f64 x x) (pow.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal 1/9 binary64)) #s(literal 2 binary64))) (*.f64 x (+.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal 1/9 binary64)) x))))
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) #s(literal 3 binary64))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
(-.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (*.f64 #s(literal 9 binary64) x) #s(literal -1/2 binary64)) #s(literal 2 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 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 #s(literal 3 binary64) y)))
Calls

3 calls:

76.0ms
x
11.0ms
y
10.0ms
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
Results
AccuracySegmentsBranch
99.7%1x
99.7%1y
99.7%1(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
Compiler

Compiled 16 to 16 computations (0% saved)

regimes33.0ms (0.5%)

Memory
-15.6MiB live, 67.6MiB allocated
Counts
36 → 1
Calls
Call 1
Inputs
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (-.f64 #s(literal 1 binary64) (/.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 (-.f64 x #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 (*.f64 #s(approx (+ (* (* (sqrt x) y) 1/3) 1/9) #s(literal 1/9 binary64)) x) (*.f64 x x))))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 #s(literal 1 binary64) (/.f64 x (-.f64 x #s(approx (+ (* (* (sqrt x) y) 1/3) 1/9) #s(literal 1/9 binary64))))))
(fma.f64 #s(literal -1/3 binary64) (/.f64 y (sqrt.f64 x)) #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)))
(fma.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)))
(fma.f64 (/.f64 y (sqrt.f64 x)) #s(literal -1/3 binary64) #s(approx (- 1 (/ 1 (* x 9))) #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))))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 (*.f64 (+.f64 #s(approx (+ (* (* (sqrt x) y) 1/3) 1/9) #s(literal 1/9 binary64)) x) (-.f64 x #s(approx (+ (* (* (sqrt x) y) 1/3) 1/9) #s(literal 1/9 binary64)))) (*.f64 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 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 #s(approx (- x (+ (* (* (sqrt x) y) 1/3) 1/9)) (*.f64 #s(literal -1/3 binary64) (*.f64 (sqrt.f64 x) y))) x))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 #s(approx (- x (+ (* (* (sqrt x) y) 1/3) 1/9)) (*.f64 (*.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y)) x))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal -1/9 binary64)) x))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (fma.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ (pow x -1/2) (/ 3 y))) (/.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal -1/9 binary64)) x))
#s(approx (- (- 1 (pow (* (sqrt x) 3) -2)) (/ y (* 3 (sqrt x)))) (/.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal -1/9 binary64)) x))
(fma.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) (*.f64 #s(literal 1/3 binary64) y) #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal 1/9 binary64)) x)))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 (-.f64 x (fma.f64 (*.f64 (sqrt.f64 x) y) #s(literal 1/3 binary64) #s(literal 1/9 binary64))) x))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 #s(literal 1 binary64) #s(approx (/ x (- x (+ (* (* (sqrt x) y) 1/3) 1/9))) (*.f64 (/.f64 (sqrt.f64 x) y) #s(literal -3 binary64)))))
(-.f64 #s(approx (- 1 (/ 1 (* x 9))) (/.f64 #s(literal -1/9 binary64) x)) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
(fma.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)))
(-.f64 #s(approx (- 1 (/ 1 (* x 9))) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -9 binary64) x))) (/.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 x (-.f64 x (fma.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal 1/9 binary64))))))
(-.f64 #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) (/.f64 #s(literal -3 binary64) y)))
(fma.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/9 binary64) (-.f64 #s(literal 1 binary64) (/.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64)))))
(fma.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) (*.f64 #s(literal 1/3 binary64) y) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 (-.f64 x #s(approx (+ (* (* (sqrt x) y) 1/3) 1/9) (*.f64 (neg.f64 y) (fma.f64 #s(literal -1/3 binary64) (sqrt.f64 x) (/.f64 #s(literal -1/9 binary64) y))))) x))
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 (-.f64 (*.f64 x x) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal 1/9 binary64)) x)) (*.f64 x x)))
#s(approx (/ (- 1 (* (+ (* (/ -1/3 (sqrt x)) y) (/ -1/9 x)) (+ (* (/ -1/3 (sqrt x)) y) (/ -1/9 x)))) (- 1 (+ (* (/ -1/3 (sqrt x)) y) (/ -1/9 x)))) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1/81 binary64) x) x)) (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64))))
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 3 binary64) x) #s(literal 3 binary64)))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -9 binary64))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) (/.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) (/.f64 #s(literal -3 binary64) y)))
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) #s(literal 3 binary64)) (sqrt.f64 x)))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y (/.f64 #s(literal -1/9 binary64) x)) (fma.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y (/.f64 #s(literal -1/9 binary64) x)))) (-.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y (/.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 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
Calls

3 calls:

11.0ms
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
99.7%1x
99.7%1y
99.7%1(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
Compiler

Compiled 16 to 16 computations (0% saved)

regimes25.0ms (0.4%)

Memory
20.2MiB live, 59.2MiB allocated
Counts
28 → 1
Calls
Call 1
Inputs
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (-.f64 #s(literal 1 binary64) (/.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 (-.f64 x #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 (*.f64 #s(approx (+ (* (* (sqrt x) y) 1/3) 1/9) #s(literal 1/9 binary64)) x) (*.f64 x x))))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 #s(literal 1 binary64) (/.f64 x (-.f64 x #s(approx (+ (* (* (sqrt x) y) 1/3) 1/9) #s(literal 1/9 binary64))))))
(fma.f64 #s(literal -1/3 binary64) (/.f64 y (sqrt.f64 x)) #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)))
(fma.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)))
(fma.f64 (/.f64 y (sqrt.f64 x)) #s(literal -1/3 binary64) #s(approx (- 1 (/ 1 (* x 9))) #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))))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 (*.f64 (+.f64 #s(approx (+ (* (* (sqrt x) y) 1/3) 1/9) #s(literal 1/9 binary64)) x) (-.f64 x #s(approx (+ (* (* (sqrt x) y) 1/3) 1/9) #s(literal 1/9 binary64)))) (*.f64 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 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 #s(approx (- x (+ (* (* (sqrt x) y) 1/3) 1/9)) (*.f64 #s(literal -1/3 binary64) (*.f64 (sqrt.f64 x) y))) x))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 #s(approx (- x (+ (* (* (sqrt x) y) 1/3) 1/9)) (*.f64 (*.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y)) x))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal -1/9 binary64)) x))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (fma.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ (pow x -1/2) (/ 3 y))) (/.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal -1/9 binary64)) x))
#s(approx (- (- 1 (pow (* (sqrt x) 3) -2)) (/ y (* 3 (sqrt x)))) (/.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal -1/9 binary64)) x))
(fma.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) (*.f64 #s(literal 1/3 binary64) y) #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal 1/9 binary64)) x)))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 (-.f64 x (fma.f64 (*.f64 (sqrt.f64 x) y) #s(literal 1/3 binary64) #s(literal 1/9 binary64))) x))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 #s(literal 1 binary64) #s(approx (/ x (- x (+ (* (* (sqrt x) y) 1/3) 1/9))) (*.f64 (/.f64 (sqrt.f64 x) y) #s(literal -3 binary64)))))
(-.f64 #s(approx (- 1 (/ 1 (* x 9))) (/.f64 #s(literal -1/9 binary64) x)) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
(fma.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)))
(-.f64 #s(approx (- 1 (/ 1 (* x 9))) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -9 binary64) x))) (/.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 x (-.f64 x (fma.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal 1/9 binary64))))))
(-.f64 #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) (/.f64 #s(literal -3 binary64) y)))
(fma.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/9 binary64) (-.f64 #s(literal 1 binary64) (/.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64)))))
(fma.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) (*.f64 #s(literal 1/3 binary64) y) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 (-.f64 x #s(approx (+ (* (* (sqrt x) y) 1/3) 1/9) (*.f64 (neg.f64 y) (fma.f64 #s(literal -1/3 binary64) (sqrt.f64 x) (/.f64 #s(literal -1/9 binary64) y))))) x))
Outputs
(fma.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) (*.f64 #s(literal 1/3 binary64) y) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)))
Calls

3 calls:

8.0ms
y
8.0ms
x
7.0ms
(-.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 16 to 16 computations (0% saved)

regimes24.0ms (0.4%)

Memory
21.0MiB live, 56.7MiB allocated
Counts
26 → 1
Calls
Call 1
Inputs
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (-.f64 #s(literal 1 binary64) (/.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 (-.f64 x #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 (*.f64 #s(approx (+ (* (* (sqrt x) y) 1/3) 1/9) #s(literal 1/9 binary64)) x) (*.f64 x x))))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 #s(literal 1 binary64) (/.f64 x (-.f64 x #s(approx (+ (* (* (sqrt x) y) 1/3) 1/9) #s(literal 1/9 binary64))))))
(fma.f64 #s(literal -1/3 binary64) (/.f64 y (sqrt.f64 x)) #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)))
(fma.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)))
(fma.f64 (/.f64 y (sqrt.f64 x)) #s(literal -1/3 binary64) #s(approx (- 1 (/ 1 (* x 9))) #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))))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 (*.f64 (+.f64 #s(approx (+ (* (* (sqrt x) y) 1/3) 1/9) #s(literal 1/9 binary64)) x) (-.f64 x #s(approx (+ (* (* (sqrt x) y) 1/3) 1/9) #s(literal 1/9 binary64)))) (*.f64 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 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 #s(approx (- x (+ (* (* (sqrt x) y) 1/3) 1/9)) (*.f64 #s(literal -1/3 binary64) (*.f64 (sqrt.f64 x) y))) x))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 #s(approx (- x (+ (* (* (sqrt x) y) 1/3) 1/9)) (*.f64 (*.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y)) x))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal -1/9 binary64)) x))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (fma.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ (pow x -1/2) (/ 3 y))) (/.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal -1/9 binary64)) x))
#s(approx (- (- 1 (pow (* (sqrt x) 3) -2)) (/ y (* 3 (sqrt x)))) (/.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal -1/9 binary64)) x))
(fma.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) (*.f64 #s(literal 1/3 binary64) y) #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal 1/9 binary64)) x)))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 (-.f64 x (fma.f64 (*.f64 (sqrt.f64 x) y) #s(literal 1/3 binary64) #s(literal 1/9 binary64))) x))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 #s(literal 1 binary64) #s(approx (/ x (- x (+ (* (* (sqrt x) y) 1/3) 1/9))) (*.f64 (/.f64 (sqrt.f64 x) y) #s(literal -3 binary64)))))
(-.f64 #s(approx (- 1 (/ 1 (* x 9))) (/.f64 #s(literal -1/9 binary64) x)) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
(fma.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)))
(-.f64 #s(approx (- 1 (/ 1 (* x 9))) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -9 binary64) x))) (/.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 x (-.f64 x (fma.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal 1/9 binary64))))))
(-.f64 #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) (/.f64 #s(literal -3 binary64) y)))
(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)))))
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:

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))))
7.0ms
x
7.0ms
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 16 to 16 computations (0% saved)

regimes28.0ms (0.4%)

Memory
-39.0MiB live, 42.9MiB allocated
Counts
21 → 2
Calls
Call 1
Inputs
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (-.f64 #s(literal 1 binary64) (/.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 (-.f64 x #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 (*.f64 #s(approx (+ (* (* (sqrt x) y) 1/3) 1/9) #s(literal 1/9 binary64)) x) (*.f64 x x))))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 #s(literal 1 binary64) (/.f64 x (-.f64 x #s(approx (+ (* (* (sqrt x) y) 1/3) 1/9) #s(literal 1/9 binary64))))))
(fma.f64 #s(literal -1/3 binary64) (/.f64 y (sqrt.f64 x)) #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)))
(fma.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)))
(fma.f64 (/.f64 y (sqrt.f64 x)) #s(literal -1/3 binary64) #s(approx (- 1 (/ 1 (* x 9))) #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))))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 (*.f64 (+.f64 #s(approx (+ (* (* (sqrt x) y) 1/3) 1/9) #s(literal 1/9 binary64)) x) (-.f64 x #s(approx (+ (* (* (sqrt x) y) 1/3) 1/9) #s(literal 1/9 binary64)))) (*.f64 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 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 #s(approx (- x (+ (* (* (sqrt x) y) 1/3) 1/9)) (*.f64 #s(literal -1/3 binary64) (*.f64 (sqrt.f64 x) y))) x))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 #s(approx (- x (+ (* (* (sqrt x) y) 1/3) 1/9)) (*.f64 (*.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y)) x))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal -1/9 binary64)) x))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (fma.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ (pow x -1/2) (/ 3 y))) (/.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal -1/9 binary64)) x))
#s(approx (- (- 1 (pow (* (sqrt x) 3) -2)) (/ y (* 3 (sqrt x)))) (/.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal -1/9 binary64)) x))
(fma.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) (*.f64 #s(literal 1/3 binary64) y) #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal 1/9 binary64)) x)))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 (-.f64 x (fma.f64 (*.f64 (sqrt.f64 x) y) #s(literal 1/3 binary64) #s(literal 1/9 binary64))) x))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 #s(literal 1 binary64) #s(approx (/ x (- x (+ (* (* (sqrt x) y) 1/3) 1/9))) (*.f64 (/.f64 (sqrt.f64 x) y) #s(literal -3 binary64)))))
(-.f64 #s(approx (- 1 (/ 1 (* x 9))) (/.f64 #s(literal -1/9 binary64) x)) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
Outputs
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal 1/9 binary64)) x)))
(fma.f64 #s(literal -1/3 binary64) (/.f64 y (sqrt.f64 x)) #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)))
Calls

3 calls:

10.0ms
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
6.0ms
x
6.0ms
y
Results
AccuracySegmentsBranch
99.7%2x
99.7%3y
98.2%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))))
Compiler

Compiled 16 to 16 computations (0% saved)

regimes6.0ms (0.1%)

Memory
14.7MiB live, 14.7MiB allocated
Counts
17 → 2
Calls
Call 1
Inputs
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (-.f64 #s(literal 1 binary64) (/.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 (-.f64 x #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 (*.f64 #s(approx (+ (* (* (sqrt x) y) 1/3) 1/9) #s(literal 1/9 binary64)) x) (*.f64 x x))))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 #s(literal 1 binary64) (/.f64 x (-.f64 x #s(approx (+ (* (* (sqrt x) y) 1/3) 1/9) #s(literal 1/9 binary64))))))
(fma.f64 #s(literal -1/3 binary64) (/.f64 y (sqrt.f64 x)) #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)))
(fma.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)))
(fma.f64 (/.f64 y (sqrt.f64 x)) #s(literal -1/3 binary64) #s(approx (- 1 (/ 1 (* x 9))) #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))))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 (*.f64 (+.f64 #s(approx (+ (* (* (sqrt x) y) 1/3) 1/9) #s(literal 1/9 binary64)) x) (-.f64 x #s(approx (+ (* (* (sqrt x) y) 1/3) 1/9) #s(literal 1/9 binary64)))) (*.f64 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 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 #s(approx (- x (+ (* (* (sqrt x) y) 1/3) 1/9)) (*.f64 #s(literal -1/3 binary64) (*.f64 (sqrt.f64 x) y))) x))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 #s(approx (- x (+ (* (* (sqrt x) y) 1/3) 1/9)) (*.f64 (*.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y)) x))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal -1/9 binary64)) x))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (fma.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ (pow x -1/2) (/ 3 y))) (/.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal -1/9 binary64)) x))
#s(approx (- (- 1 (pow (* (sqrt x) 3) -2)) (/ y (* 3 (sqrt x)))) (/.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal -1/9 binary64)) x))
(fma.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) (*.f64 #s(literal 1/3 binary64) y) #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)))
Outputs
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal -1/9 binary64)) x))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (fma.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)))
Calls

1 calls:

5.0ms
x
Results
AccuracySegmentsBranch
98.6%2x
Compiler

Compiled 1 to 2 computations (-100% saved)

regimes5.0ms (0.1%)

Memory
11.6MiB live, 11.6MiB allocated
Counts
13 → 2
Calls
Call 1
Inputs
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (-.f64 #s(literal 1 binary64) (/.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 (-.f64 x #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 (*.f64 #s(approx (+ (* (* (sqrt x) y) 1/3) 1/9) #s(literal 1/9 binary64)) x) (*.f64 x x))))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 #s(literal 1 binary64) (/.f64 x (-.f64 x #s(approx (+ (* (* (sqrt x) y) 1/3) 1/9) #s(literal 1/9 binary64))))))
(fma.f64 #s(literal -1/3 binary64) (/.f64 y (sqrt.f64 x)) #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)))
(fma.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)))
(fma.f64 (/.f64 y (sqrt.f64 x)) #s(literal -1/3 binary64) #s(approx (- 1 (/ 1 (* x 9))) #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))))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 (*.f64 (+.f64 #s(approx (+ (* (* (sqrt x) y) 1/3) 1/9) #s(literal 1/9 binary64)) x) (-.f64 x #s(approx (+ (* (* (sqrt x) y) 1/3) 1/9) #s(literal 1/9 binary64)))) (*.f64 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 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 #s(approx (- x (+ (* (* (sqrt x) y) 1/3) 1/9)) (*.f64 #s(literal -1/3 binary64) (*.f64 (sqrt.f64 x) y))) x))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 #s(approx (- x (+ (* (* (sqrt x) y) 1/3) 1/9)) (*.f64 (*.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y)) x))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal -1/9 binary64)) x))
Outputs
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal -1/9 binary64)) x))
(fma.f64 #s(literal -1/3 binary64) (/.f64 y (sqrt.f64 x)) #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)))
Calls

1 calls:

4.0ms
x
Results
AccuracySegmentsBranch
98.5%2x
Compiler

Compiled 1 to 2 computations (-100% saved)

regimes48.0ms (0.7%)

Memory
-8.5MiB live, 29.9MiB allocated
Counts
12 → 3
Calls
Call 1
Inputs
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (-.f64 #s(literal 1 binary64) (/.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 (-.f64 x #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 (*.f64 #s(approx (+ (* (* (sqrt x) y) 1/3) 1/9) #s(literal 1/9 binary64)) x) (*.f64 x x))))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 #s(literal 1 binary64) (/.f64 x (-.f64 x #s(approx (+ (* (* (sqrt x) y) 1/3) 1/9) #s(literal 1/9 binary64))))))
(fma.f64 #s(literal -1/3 binary64) (/.f64 y (sqrt.f64 x)) #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)))
(fma.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)))
(fma.f64 (/.f64 y (sqrt.f64 x)) #s(literal -1/3 binary64) #s(approx (- 1 (/ 1 (* x 9))) #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))))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 (*.f64 (+.f64 #s(approx (+ (* (* (sqrt x) y) 1/3) 1/9) #s(literal 1/9 binary64)) x) (-.f64 x #s(approx (+ (* (* (sqrt x) y) 1/3) 1/9) #s(literal 1/9 binary64)))) (*.f64 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 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 #s(approx (- x (+ (* (* (sqrt x) y) 1/3) 1/9)) (*.f64 #s(literal -1/3 binary64) (*.f64 (sqrt.f64 x) y))) x))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 #s(approx (- x (+ (* (* (sqrt x) y) 1/3) 1/9)) (*.f64 (*.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y)) x))
Outputs
(-.f64 #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (-.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ (* (* (sqrt x) y) 1/3) 1/9) #s(literal 1/9 binary64)) x)))
(fma.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)))
Calls

3 calls:

39.0ms
(-.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))))
4.0ms
x
4.0ms
y
Results
AccuracySegmentsBranch
95.0%3y
81.7%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))))
80.6%2x
Compiler

Compiled 16 to 16 computations (0% saved)

regimes3.0ms (0%)

Memory
9.2MiB live, 9.2MiB allocated
Counts
7 → 3
Calls
Call 1
Inputs
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (-.f64 #s(literal 1 binary64) (/.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 (-.f64 x #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 (*.f64 #s(approx (+ (* (* (sqrt x) y) 1/3) 1/9) #s(literal 1/9 binary64)) x) (*.f64 x x))))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 #s(literal 1 binary64) (/.f64 x (-.f64 x #s(approx (+ (* (* (sqrt x) y) 1/3) 1/9) #s(literal 1/9 binary64))))))
(fma.f64 #s(literal -1/3 binary64) (/.f64 y (sqrt.f64 x)) #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)))
(fma.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)))
(fma.f64 (/.f64 y (sqrt.f64 x)) #s(literal -1/3 binary64) #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)))
Outputs
(fma.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (-.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ (* (* (sqrt x) y) 1/3) 1/9) #s(literal 1/9 binary64)) x)))
(fma.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)))
Calls

1 calls:

3.0ms
y
Results
AccuracySegmentsBranch
94.9%3y
Compiler

Compiled 1 to 2 computations (-100% saved)

regimes3.0ms (0%)

Memory
8.8MiB live, 8.8MiB allocated
Counts
5 → 3
Calls
Call 1
Inputs
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (-.f64 #s(literal 1 binary64) (/.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 (-.f64 x #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 (*.f64 #s(approx (+ (* (* (sqrt x) y) 1/3) 1/9) #s(literal 1/9 binary64)) x) (*.f64 x x))))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 #s(literal 1 binary64) (/.f64 x (-.f64 x #s(approx (+ (* (* (sqrt x) y) 1/3) 1/9) #s(literal 1/9 binary64))))))
(fma.f64 #s(literal -1/3 binary64) (/.f64 y (sqrt.f64 x)) #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)))
Outputs
(fma.f64 #s(literal -1/3 binary64) (/.f64 y (sqrt.f64 x)) #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (-.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ (* (* (sqrt x) y) 1/3) 1/9) #s(literal 1/9 binary64)) x)))
(fma.f64 #s(literal -1/3 binary64) (/.f64 y (sqrt.f64 x)) #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)))
Calls

1 calls:

2.0ms
y
Results
AccuracySegmentsBranch
94.6%3y
Compiler

Compiled 1 to 2 computations (-100% saved)

regimes28.0ms (0.4%)

Memory
-20.5MiB live, 18.6MiB allocated
Counts
4 → 2
Calls
Call 1
Inputs
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (-.f64 #s(literal 1 binary64) (/.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 (-.f64 x #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 (*.f64 #s(approx (+ (* (* (sqrt x) y) 1/3) 1/9) #s(literal 1/9 binary64)) x) (*.f64 x x))))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 #s(literal 1 binary64) (/.f64 x (-.f64 x #s(approx (+ (* (* (sqrt x) y) 1/3) 1/9) #s(literal 1/9 binary64))))))
Outputs
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (-.f64 #s(literal 1 binary64) (/.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 (*.f64 #s(approx (+ (* (* (sqrt x) y) 1/3) 1/9) #s(literal 1/9 binary64)) x) (*.f64 x x))))
Calls

3 calls:

24.0ms
y
2.0ms
x
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))))
Results
AccuracySegmentsBranch
64.8%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))))
62.2%1x
64.8%2y
Compiler

Compiled 16 to 16 computations (0% saved)

regimes3.0ms (0%)

Memory
8.3MiB live, 8.3MiB allocated
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

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

2 calls:

1.0ms
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
1.0ms
y
Results
AccuracySegmentsBranch
62.2%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))))
62.2%1y
Compiler

Compiled 15 to 14 computations (6.7% saved)

bsearch18.0ms (0.3%)

Memory
-10.7MiB live, 25.5MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
16.0ms
7.378283919953866e+68
5.653771210784042e+70
Samples
11.0ms112×0valid
Compiler

Compiled 304 to 269 computations (11.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 8.0ms
ival-sqrt: 4.0ms (47.6% of total)
ival-div: 1.0ms (11.9% of total)
ival-sub: 1.0ms (11.9% of total)
ival-mult: 1.0ms (11.9% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch17.0ms (0.3%)

Memory
29.2MiB live, 29.2MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
15.0ms
7.066056254468594e-6
57.3107461902116
Samples
9.0ms144×0valid
Compiler

Compiled 449 to 377 computations (16% saved)

Precisions
Click to see histograms. Total time spent on operations: 6.0ms
ival-div: 2.0ms (32.8% of total)
ival-mult: 2.0ms (32.8% of total)
ival-sub: 1.0ms (16.4% of total)
ival-sqrt: 1.0ms (16.4% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch12.0ms (0.2%)

Memory
-45.7MiB live, 3.7MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
11.0ms
7.066056254468594e-6
57.3107461902116
Compiler

Compiled 368 to 323 computations (12.2% saved)

bsearch70.0ms (1.1%)

Memory
11.9MiB live, 49.7MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
51.0ms
3.0122811816026786e+42
1.5180380193602517e+56
15.0ms
-5.188634750851549e+75
-2.5896285248194866e+70
Samples
54.0ms304×0valid
Compiler

Compiled 862 to 748 computations (13.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 13.0ms
ival-div: 4.0ms (31% of total)
ival-mult: 4.0ms (31% of total)
ival-sub: 3.0ms (23.2% of total)
ival-sqrt: 2.0ms (15.5% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch3.0ms (0%)

Memory
4.1MiB live, 4.1MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
1.0ms
3.0122811816026786e+42
1.5180380193602517e+56
1.0ms
-5.188634750851549e+75
-2.5896285248194866e+70
Compiler

Compiled 853 to 739 computations (13.4% saved)

bsearch3.0ms (0%)

Memory
3.9MiB live, 3.9MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
1.0ms
3.0122811816026786e+42
1.5180380193602517e+56
1.0ms
-5.188634750851549e+75
-2.5896285248194866e+70
Compiler

Compiled 853 to 739 computations (13.4% saved)

bsearch30.0ms (0.5%)

Memory
-16.3MiB live, 22.3MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
17.0ms
2.498632498825321e+127
2.069858661272498e+139
Samples
10.0ms160×0valid
Compiler

Compiled 637 to 517 computations (18.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 7.0ms
ival-div: 2.0ms (29.1% of total)
ival-mult: 2.0ms (29.1% of total)
ival-sub: 1.0ms (14.5% of total)
ival-sqrt: 1.0ms (14.5% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

simplify98.0ms (1.5%)

Memory
20.9MiB live, 57.4MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
085462
1125462
2214462
3366462
4580462
5981462
62515462
75997462
Stop Event
node limit
Calls
Call 1
Inputs
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 #s(literal 3 binary64) y)))
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
(fma.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) (*.f64 #s(literal 1/3 binary64) y) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)))
(fma.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)))
(if (<=.f64 x #s(literal 749999999999999958617605982028872697222091610340567490467462480134144 binary64)) #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal 1/9 binary64)) x))) (fma.f64 #s(literal -1/3 binary64) (/.f64 y (sqrt.f64 x)) #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64))))
(if (<=.f64 x #s(literal 7926335344172073/72057594037927936 binary64)) #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal -1/9 binary64)) x)) #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (fma.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))))
(if (<=.f64 x #s(literal 7926335344172073/72057594037927936 binary64)) #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal -1/9 binary64)) x)) (fma.f64 #s(literal -1/3 binary64) (/.f64 y (sqrt.f64 x)) #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64))))
(if (<=.f64 y #s(literal -64999999999999997818313430902900420587732714450632600824357610279927808 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 360000000000000007671539654766762878089356640256 binary64)) #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (-.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ (* (* (sqrt x) y) 1/3) 1/9) #s(literal 1/9 binary64)) x))) (fma.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)))))
(if (<=.f64 y #s(literal -64999999999999997818313430902900420587732714450632600824357610279927808 binary64)) (fma.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64))) (if (<=.f64 y #s(literal 360000000000000007671539654766762878089356640256 binary64)) #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (-.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ (* (* (sqrt x) y) 1/3) 1/9) #s(literal 1/9 binary64)) x))) (fma.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)))))
(if (<=.f64 y #s(literal -64999999999999997818313430902900420587732714450632600824357610279927808 binary64)) (fma.f64 #s(literal -1/3 binary64) (/.f64 y (sqrt.f64 x)) #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64))) (if (<=.f64 y #s(literal 360000000000000007671539654766762878089356640256 binary64)) #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (-.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ (* (* (sqrt x) y) 1/3) 1/9) #s(literal 1/9 binary64)) x))) (fma.f64 #s(literal -1/3 binary64) (/.f64 y (sqrt.f64 x)) #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)))))
(if (<=.f64 y #s(literal 20500000000000001003780015423825284095191411626757559672204766720444923283749551545854922588524084872615570067936252353157900070513014734848 binary64)) #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (-.f64 #s(literal 1 binary64) (/.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 (*.f64 #s(approx (+ (* (* (sqrt x) y) 1/3) 1/9) #s(literal 1/9 binary64)) x) (*.f64 x x)))))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (-.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ (* (* (sqrt x) y) 1/3) 1/9) #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 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 #s(literal 3 binary64) y)))
(-.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x #s(literal 9 binary64)) #s(literal -1 binary64))) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 #s(literal 3 binary64) y)))
(-.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) (pow.f64 (*.f64 x #s(literal 9 binary64)) #s(literal -1 binary64))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
(fma.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) (*.f64 #s(literal 1/3 binary64) y) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)))
(fma.f64 (/.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 749999999999999958617605982028872697222091610340567490467462480134144 binary64)) #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal 1/9 binary64)) x))) (fma.f64 #s(literal -1/3 binary64) (/.f64 y (sqrt.f64 x)) #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64))))
(if (<=.f64 x #s(literal 7926335344172073/72057594037927936 binary64)) #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal -1/9 binary64)) x)) #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (fma.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))))
(if (<=.f64 x #s(literal 7926335344172073/72057594037927936 binary64)) #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal -1/9 binary64)) x)) #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (fma.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (pow.f64 x #s(literal -1 binary64))) #s(literal 1 binary64))))
(if (<=.f64 x #s(literal 7926335344172073/72057594037927936 binary64)) #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal -1/9 binary64)) x)) (fma.f64 #s(literal -1/3 binary64) (/.f64 y (sqrt.f64 x)) #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64))))
(if (<=.f64 y #s(literal -64999999999999997818313430902900420587732714450632600824357610279927808 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 360000000000000007671539654766762878089356640256 binary64)) #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (-.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ (* (* (sqrt x) y) 1/3) 1/9) #s(literal 1/9 binary64)) x))) (fma.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)))))
(if (<=.f64 y #s(literal -64999999999999997818313430902900420587732714450632600824357610279927808 binary64)) (fma.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64))) (if (<=.f64 y #s(literal 360000000000000007671539654766762878089356640256 binary64)) #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (-.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ (* (* (sqrt x) y) 1/3) 1/9) #s(literal 1/9 binary64)) x))) (fma.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)))))
(if (or (<=.f64 y #s(literal -64999999999999997818313430902900420587732714450632600824357610279927808 binary64)) (not (<=.f64 y #s(literal 360000000000000007671539654766762878089356640256 binary64)))) (fma.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64))) #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (-.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ (* (* (sqrt x) y) 1/3) 1/9) #s(literal 1/9 binary64)) x))))
(if (<=.f64 y #s(literal -64999999999999997818313430902900420587732714450632600824357610279927808 binary64)) (fma.f64 #s(literal -1/3 binary64) (/.f64 y (sqrt.f64 x)) #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64))) (if (<=.f64 y #s(literal 360000000000000007671539654766762878089356640256 binary64)) #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (-.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ (* (* (sqrt x) y) 1/3) 1/9) #s(literal 1/9 binary64)) x))) (fma.f64 #s(literal -1/3 binary64) (/.f64 y (sqrt.f64 x)) #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)))))
(if (or (<=.f64 y #s(literal -64999999999999997818313430902900420587732714450632600824357610279927808 binary64)) (not (<=.f64 y #s(literal 360000000000000007671539654766762878089356640256 binary64)))) (fma.f64 #s(literal -1/3 binary64) (/.f64 y (sqrt.f64 x)) #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64))) #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (-.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ (* (* (sqrt x) y) 1/3) 1/9) #s(literal 1/9 binary64)) x))))
(if (<=.f64 y #s(literal 20500000000000001003780015423825284095191411626757559672204766720444923283749551545854922588524084872615570067936252353157900070513014734848 binary64)) #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (-.f64 #s(literal 1 binary64) (/.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 (*.f64 #s(approx (+ (* (* (sqrt x) y) 1/3) 1/9) #s(literal 1/9 binary64)) x) (*.f64 x x)))))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (-.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ (* (* (sqrt x) y) 1/3) 1/9) #s(literal 1/9 binary64)) x)))

soundness1.5s (22.6%)

Memory
18.4MiB live, 804.1MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
047243
078214
1337187
23614187
08785186
055133
1129133
2317132
3794132
42020132
54406132
65634132
76810132
87948132
08034125
050308
075297
1300271
22579271
08696266
04403157
114002946
249402895
084582690
01239
01939
17433
279533
0838332
Stop Event
fuel
iter limit
node limit
iter limit
iter limit
node limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
node limit
iter limit
Compiler

Compiled 1 187 to 612 computations (48.4% saved)

preprocess103.0ms (1.6%)

Memory
4.9MiB live, 91.1MiB allocated
Compiler

Compiled 980 to 230 computations (76.5% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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