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

Time bar (total: 11.7s)

analyze23.0ms (0.2%)

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

Compiled 17 to 13 computations (23.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 13.0ms
ival-mult: 8.0ms (63.3% of total)
ival-div: 1.0ms (7.9% of total)
ival-sub: 1.0ms (7.9% of total)
ival-add: 1.0ms (7.9% of total)
ival-sqrt: 1.0ms (7.9% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

sample1.0s (8.6%)

Results
731.0ms8256×0valid
18.0ms220×0invalid
Precisions
Click to see histograms. Total time spent on operations: 439.0ms
ival-mult: 163.0ms (37.1% of total)
ival-div: 78.0ms (17.8% of total)
ival-sqrt: 74.0ms (16.9% of total)
ival-sub: 53.0ms (12.1% of total)
ival-add: 50.0ms (11.4% of total)
const: 18.0ms (4.1% of total)
backward-pass: 4.0ms (0.9% of total)
Bogosity

preprocess361.0ms (3.1%)

Algorithm
2×egg-herbie
Rules
2026×fnmsub-define
1940×sum5-define
1884×sum3-define
1802×fma-define
1672×fma-lowering-fma.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
03386
19672
235670
3148668
4549668
01213
12811
27211
320011
442611
561311
6126611
7288511
8603211
9766011
10784711
11787711
12787811
13787811
0822211
Stop Event
1×iter limit
1×node limit
1×node limit
Calls
Call 1
Inputs
(* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1))
Outputs
(* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1))
(*.f64 (sqrt.f64 x) (+.f64 (*.f64 #s(literal 3 binary64) y) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))))
Call 2
Inputs
(* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1))
(* (* 3 (sqrt (neg x))) (- (+ y (/ 1 (* (neg x) 9))) 1))
(* (* 3 (sqrt x)) (- (+ (neg y) (/ 1 (* x 9))) 1))
(neg (* (* 3 (sqrt (neg x))) (- (+ y (/ 1 (* (neg x) 9))) 1)))
(neg (* (* 3 (sqrt x)) (- (+ (neg y) (/ 1 (* x 9))) 1)))
(* (* 3 (sqrt y)) (- (+ x (/ 1 (* y 9))) 1))
Outputs
(* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1))
(* (sqrt x) (* 3 (sum3 y (/ 1/9 x) -1)))
(* (* 3 (sqrt (neg x))) (- (+ y (/ 1 (* (neg x) 9))) 1))
(* (sqrt (neg x)) (* 3 (sum3 y (/ -1/9 x) -1)))
(* (* 3 (sqrt x)) (- (+ (neg y) (/ 1 (* x 9))) 1))
(* (sqrt x) (fnmsub 3 (- y (/ 1/9 x)) 3))
(neg (* (* 3 (sqrt (neg x))) (- (+ y (/ 1 (* (neg x) 9))) 1)))
(* (sqrt (neg x)) (* (sum3 y (/ -1/9 x) -1) -3))
(neg (* (* 3 (sqrt x)) (- (+ (neg y) (/ 1 (* x 9))) 1)))
(* (sqrt x) (sum3 3 (/ -1/3 x) (* 3 y)))
(* (* 3 (sqrt y)) (- (+ x (/ 1 (* y 9))) 1))
(* (sqrt y) (sum3 -3 (* 3 x) (/ 1/3 y)))

explain151.0ms (1.3%)

FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
10-0-(/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))
00-0-x
00-0-y
00-0-(*.f64 x #s(literal 9 binary64))
00-0-(+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64))))
00-0-#s(literal 9 binary64)
00-0-(-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))
00-0-#s(literal 3 binary64)
00-0-#s(literal 1 binary64)
00-0-(sqrt.f64 x)
00-0-(*.f64 #s(literal 3 binary64) (sqrt.f64 x))
00-0-(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64)))
Results
78.0ms512×0valid
Compiler

Compiled 120 to 38 computations (68.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 28.0ms
ival-mult: 10.0ms (36.2% of total)
ival-sqrt: 7.0ms (25.4% of total)
ival-div: 4.0ms (14.5% of total)
ival-sub: 3.0ms (10.9% of total)
ival-add: 3.0ms (10.9% of total)
const: 1.0ms (3.6% of total)
backward-pass: 0.0ms (0% of total)

eval0.0ms (0%)

Compiler

Compiled 14 to 11 computations (21.4% saved)

prune1.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
▶99.5%
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64)))
▶99.5%
(*.f64 (sqrt.f64 x) (+.f64 (*.f64 #s(literal 3 binary64) y) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))))
Compiler

Compiled 30 to 23 computations (23.3% saved)

simplify251.0ms (2.1%)

Algorithm
1×egg-herbie
Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
✓cost-diff128
(/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))
✓cost-diff128
(+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64))))
✓cost-diff128
(-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))
✓cost-diff128
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64)))
✓cost-diff0
(*.f64 #s(literal 3 binary64) y)
✓cost-diff0
(+.f64 (*.f64 #s(literal 3 binary64) y) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)))
✓cost-diff0
(sqrt.f64 x)
✓cost-diff0
(*.f64 (sqrt.f64 x) (+.f64 (*.f64 #s(literal 3 binary64) y) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))))
Rules
2026×fnmsub-define
1944×fma-define
1672×fma-lowering-fma.f32
1672×fma-lowering-fma.f64
1344×*-lowering-*.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01980
14876
212676
331576
460376
576076
6143876
7304276
8619576
9783176
0801076
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(* (sqrt x) (+ (* 3 y) (+ -3 (/ 1/3 x))))
(sqrt x)
x
(+ (* 3 y) (+ -3 (/ 1/3 x)))
(* 3 y)
3
y
(+ -3 (/ 1/3 x))
-3
(/ 1/3 x)
1/3
(* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1))
(* 3 (sqrt x))
3
(sqrt x)
x
(- (+ y (/ 1 (* x 9))) 1)
(+ y (/ 1 (* x 9)))
y
(/ 1 (* x 9))
1
(* x 9)
9
Outputs
(* (sqrt x) (+ (* 3 y) (+ -3 (/ 1/3 x))))
(*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) (+.f64 y (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64))))
(sqrt x)
(sqrt.f64 x)
x
(+ (* 3 y) (+ -3 (/ 1/3 x)))
(+.f64 (*.f64 #s(literal 3 binary64) y) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)))
(* 3 y)
(*.f64 #s(literal 3 binary64) y)
3
#s(literal 3 binary64)
y
(+ -3 (/ 1/3 x))
(+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))
-3
#s(literal -3 binary64)
(/ 1/3 x)
(/.f64 #s(literal 1/3 binary64) x)
1/3
#s(literal 1/3 binary64)
(* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1))
(*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) (+.f64 y (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64))))
(* 3 (sqrt x))
(*.f64 (sqrt.f64 x) #s(literal 3 binary64))
3
#s(literal 3 binary64)
(sqrt x)
(sqrt.f64 x)
x
(- (+ y (/ 1 (* x 9))) 1)
(+.f64 y (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)))
(+ y (/ 1 (* x 9)))
(+.f64 y (/.f64 #s(literal 1/9 binary64) x))
y
(/ 1 (* x 9))
(/.f64 #s(literal 1/9 binary64) x)
1
#s(literal 1 binary64)
(* x 9)
(*.f64 x #s(literal 9 binary64))
9
#s(literal 9 binary64)

localize118.0ms (1%)

Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64))))
✓accuracy99.6%
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64)))
✓accuracy99.5%
(*.f64 #s(literal 3 binary64) (sqrt.f64 x))
✓accuracy99.3%
(/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))
✓accuracy100.0%
(sqrt.f64 x)
✓accuracy99.9%
(+.f64 (*.f64 #s(literal 3 binary64) y) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)))
✓accuracy99.5%
(*.f64 (sqrt.f64 x) (+.f64 (*.f64 #s(literal 3 binary64) y) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))))
✓accuracy99.4%
(/.f64 #s(literal 1/3 binary64) x)
Results
59.0ms240×0valid
10.0ms11×2valid
4.0ms5×1valid
Compiler

Compiled 91 to 20 computations (78% saved)

Precisions
Click to see histograms. Total time spent on operations: 32.0ms
ival-mult: 12.0ms (37.4% of total)
...c/correct-round.rkt:119:19: 5.0ms (15.6% of total)
ival-div: 4.0ms (12.5% of total)
ival-add: 4.0ms (12.5% of total)
ival-sub: 2.0ms (6.2% of total)
ival-sqrt: 2.0ms (6.2% of total)
const: 1.0ms (3.1% of total)
backward-pass: 1.0ms (3.1% of total)

series14.0ms (0.1%)

Counts
10 → 180
Calls
Call 1
Inputs
#<alt (* (sqrt x) (+ (* 3 y) (+ -3 (/ 1/3 x))))>
#<alt (sqrt x)>
#<alt (+ (* 3 y) (+ -3 (/ 1/3 x)))>
#<alt (* 3 y)>
#<alt (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1))>
#<alt (- (+ y (/ 1 (* x 9))) 1)>
#<alt (+ y (/ 1 (* x 9)))>
#<alt (/ 1 (* x 9))>
#<alt (/ 1/3 x)>
#<alt (* 3 (sqrt x))>
Outputs
#<alt (* 1/3 (sqrt (/ 1 x)))>
#<alt (/ (+ (* 1/3 (sqrt x)) (* (sqrt (pow x 3)) (- (* 3 y) 3))) x)>
#<alt (/ (+ (* 1/3 (sqrt x)) (* (sqrt (pow x 3)) (- (* 3 y) 3))) x)>
#<alt (/ (+ (* 1/3 (sqrt x)) (* (sqrt (pow x 3)) (- (* 3 y) 3))) x)>
#<alt (* (sqrt x) (- (* 3 y) 3))>
#<alt (* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (- (* 3 y) 3))))>
#<alt (* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (- (* 3 y) 3))))>
#<alt (* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (- (* 3 y) 3))))>
#<alt (* -1 (* (sqrt x) (* (pow (sqrt -1) 2) (- (* 3 y) 3))))>
#<alt (* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- (* 3 y) 3))))))>
#<alt (* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- (* 3 y) 3))))))>
#<alt (* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- (* 3 y) 3))))))>
#<alt (* (sqrt x) (- (* 1/3 (/ 1 x)) 3))>
#<alt (+ (* 3 (* (sqrt x) y)) (* (sqrt x) (- (* 1/3 (/ 1 x)) 3)))>
#<alt (+ (* 3 (* (sqrt x) y)) (* (sqrt x) (- (* 1/3 (/ 1 x)) 3)))>
#<alt (+ (* 3 (* (sqrt x) y)) (* (sqrt x) (- (* 1/3 (/ 1 x)) 3)))>
#<alt (* 3 (* (sqrt x) y))>
#<alt (* y (+ (* 3 (sqrt x)) (* (sqrt x) (/ (- (* 1/3 (/ 1 x)) 3) y))))>
#<alt (* y (+ (* 3 (sqrt x)) (* (sqrt x) (/ (- (* 1/3 (/ 1 x)) 3) y))))>
#<alt (* y (+ (* 3 (sqrt x)) (* (sqrt x) (/ (- (* 1/3 (/ 1 x)) 3) y))))>
#<alt (* 3 (* (sqrt x) y))>
#<alt (* -1 (* y (+ (* -3 (sqrt x)) (* -1 (* (sqrt x) (/ (- (* 1/3 (/ 1 x)) 3) y))))))>
#<alt (* -1 (* y (+ (* -3 (sqrt x)) (* -1 (* (sqrt x) (/ (- (* 1/3 (/ 1 x)) 3) y))))))>
#<alt (* -1 (* y (+ (* -3 (sqrt x)) (* -1 (* (sqrt x) (/ (- (* 1/3 (/ 1 x)) 3) y))))))>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (- (* 1/3 (/ 1 x)) 3)>
#<alt (- (+ (* 1/3 (/ 1 x)) (* 3 y)) 3)>
#<alt (- (+ (* 1/3 (/ 1 x)) (* 3 y)) 3)>
#<alt (- (+ (* 1/3 (/ 1 x)) (* 3 y)) 3)>
#<alt (* 3 y)>
#<alt (* y (- (+ 3 (/ 1/3 (* x y))) (* 3 (/ 1 y))))>
#<alt (* y (- (+ 3 (/ 1/3 (* x y))) (* 3 (/ 1 y))))>
#<alt (* y (- (+ 3 (/ 1/3 (* x y))) (* 3 (/ 1 y))))>
#<alt (* 3 y)>
#<alt (* -1 (* y (- (* -1 (/ (- (* 1/3 (/ 1 x)) 3) y)) 3)))>
#<alt (* -1 (* y (- (* -1 (/ (- (* 1/3 (/ 1 x)) 3) y)) 3)))>
#<alt (* -1 (* y (- (* -1 (/ (- (* 1/3 (/ 1 x)) 3) y)) 3)))>
#<alt (/ 1/3 x)>
#<alt (/ (+ 1/3 (* x (- (* 3 y) 3))) x)>
#<alt (/ (+ 1/3 (* x (- (* 3 y) 3))) x)>
#<alt (/ (+ 1/3 (* x (- (* 3 y) 3))) x)>
#<alt (- (* 3 y) 3)>
#<alt (- (+ (* 3 y) (* 1/3 (/ 1 x))) 3)>
#<alt (- (+ (* 3 y) (* 1/3 (/ 1 x))) 3)>
#<alt (- (+ (* 3 y) (* 1/3 (/ 1 x))) 3)>
#<alt (- (* 3 y) 3)>
#<alt (- (+ (* 3 y) (* 1/3 (/ 1 x))) 3)>
#<alt (- (+ (* 3 y) (* 1/3 (/ 1 x))) 3)>
#<alt (- (+ (* 3 y) (* 1/3 (/ 1 x))) 3)>
#<alt (* 3 y)>
#<alt (* 3 y)>
#<alt (* 3 y)>
#<alt (* 3 y)>
#<alt (* 3 y)>
#<alt (* 3 y)>
#<alt (* 3 y)>
#<alt (* 3 y)>
#<alt (* 3 y)>
#<alt (* 3 y)>
#<alt (* 3 y)>
#<alt (* 3 y)>
#<alt (* 1/3 (sqrt (/ 1 x)))>
#<alt (/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) (- y 1)))) x)>
#<alt (/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) (- y 1)))) x)>
#<alt (/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) (- y 1)))) x)>
#<alt (* 3 (* (sqrt x) (- y 1)))>
#<alt (* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) (- y 1)))))>
#<alt (* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) (- y 1)))))>
#<alt (* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) (- y 1)))))>
#<alt (* -3 (* (sqrt x) (* (pow (sqrt -1) 2) (- y 1))))>
#<alt (* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1)))))))>
#<alt (* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1)))))))>
#<alt (* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1)))))))>
#<alt (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1)))>
#<alt (+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1))))>
#<alt (+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1))))>
#<alt (+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1))))>
#<alt (* 3 (* (sqrt x) y))>
#<alt (* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))>
#<alt (* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))>
#<alt (* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))>
#<alt (* 3 (* (sqrt x) y))>
#<alt (* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))))>
#<alt (* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))))>
#<alt (* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))))>
#<alt (- (* 1/9 (/ 1 x)) 1)>
#<alt (- (+ y (* 1/9 (/ 1 x))) 1)>
#<alt (- (+ y (* 1/9 (/ 1 x))) 1)>
#<alt (- (+ y (* 1/9 (/ 1 x))) 1)>
#<alt y>
#<alt (* y (- (+ 1 (/ 1/9 (* x y))) (/ 1 y)))>
#<alt (* y (- (+ 1 (/ 1/9 (* x y))) (/ 1 y)))>
#<alt (* y (- (+ 1 (/ 1/9 (* x y))) (/ 1 y)))>
#<alt y>
#<alt (* -1 (* y (- (* -1 (/ (- (* 1/9 (/ 1 x)) 1) y)) 1)))>
#<alt (* -1 (* y (- (* -1 (/ (- (* 1/9 (/ 1 x)) 1) y)) 1)))>
#<alt (* -1 (* y (- (* -1 (/ (- (* 1/9 (/ 1 x)) 1) y)) 1)))>
#<alt (/ 1/9 x)>
#<alt (/ (+ 1/9 (* x (- y 1))) x)>
#<alt (/ (+ 1/9 (* x (- y 1))) x)>
#<alt (/ (+ 1/9 (* x (- y 1))) x)>
#<alt (- y 1)>
#<alt (- (+ y (* 1/9 (/ 1 x))) 1)>
#<alt (- (+ y (* 1/9 (/ 1 x))) 1)>
#<alt (- (+ y (* 1/9 (/ 1 x))) 1)>
#<alt (- y 1)>
#<alt (- (+ y (* 1/9 (/ 1 x))) 1)>
#<alt (- (+ y (* 1/9 (/ 1 x))) 1)>
#<alt (- (+ y (* 1/9 (/ 1 x))) 1)>
#<alt (/ 1/9 x)>
#<alt (+ y (* 1/9 (/ 1 x)))>
#<alt (+ y (* 1/9 (/ 1 x)))>
#<alt (+ y (* 1/9 (/ 1 x)))>
#<alt y>
#<alt (* y (+ 1 (* 1/9 (/ 1 (* x y)))))>
#<alt (* y (+ 1 (* 1/9 (/ 1 (* x y)))))>
#<alt (* y (+ 1 (* 1/9 (/ 1 (* x y)))))>
#<alt y>
#<alt (* y (+ 1 (* 1/9 (/ 1 (* x y)))))>
#<alt (* y (+ 1 (* 1/9 (/ 1 (* x y)))))>
#<alt (* y (+ 1 (* 1/9 (/ 1 (* x y)))))>
#<alt (/ 1/9 x)>
#<alt (/ (+ 1/9 (* x y)) x)>
#<alt (/ (+ 1/9 (* x y)) x)>
#<alt (/ (+ 1/9 (* x y)) x)>
#<alt y>
#<alt (+ y (* 1/9 (/ 1 x)))>
#<alt (+ y (* 1/9 (/ 1 x)))>
#<alt (+ y (* 1/9 (/ 1 x)))>
#<alt y>
#<alt (+ y (* 1/9 (/ 1 x)))>
#<alt (+ y (* 1/9 (/ 1 x)))>
#<alt (+ y (* 1/9 (/ 1 x)))>
#<alt (/ 1/9 x)>
#<alt (/ 1/9 x)>
#<alt (/ 1/9 x)>
#<alt (/ 1/9 x)>
#<alt (/ 1/9 x)>
#<alt (/ 1/9 x)>
#<alt (/ 1/9 x)>
#<alt (/ 1/9 x)>
#<alt (/ 1/9 x)>
#<alt (/ 1/9 x)>
#<alt (/ 1/9 x)>
#<alt (/ 1/9 x)>
#<alt (/ 1/3 x)>
#<alt (/ 1/3 x)>
#<alt (/ 1/3 x)>
#<alt (/ 1/3 x)>
#<alt (/ 1/3 x)>
#<alt (/ 1/3 x)>
#<alt (/ 1/3 x)>
#<alt (/ 1/3 x)>
#<alt (/ 1/3 x)>
#<alt (/ 1/3 x)>
#<alt (/ 1/3 x)>
#<alt (/ 1/3 x)>
#<alt (* 3 (sqrt x))>
#<alt (* 3 (sqrt x))>
#<alt (* 3 (sqrt x))>
#<alt (* 3 (sqrt x))>
#<alt (* 3 (sqrt x))>
#<alt (* 3 (sqrt x))>
#<alt (* 3 (sqrt x))>
#<alt (* 3 (sqrt x))>
#<alt (* -3 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* -3 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* -3 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* -3 (* (sqrt x) (pow (sqrt -1) 2)))>
Calls

45 calls:

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

rewrite435.0ms (3.7%)

Algorithm
1×batch-egg-rewrite
Rules
3728×/-lowering-/.f32
3728×/-lowering-/.f64
3376×*-lowering-*.f32
3376×*-lowering-*.f64
1900×+-lowering-+.f64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01962
111256
2107456
0827656
Stop Event
1×iter limit
1×node limit
Counts
10 → 323
Calls
Call 1
Inputs
(* (sqrt x) (+ (* 3 y) (+ -3 (/ 1/3 x))))
(sqrt x)
(+ (* 3 y) (+ -3 (/ 1/3 x)))
(* 3 y)
(* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1))
(- (+ y (/ 1 (* x 9))) 1)
(+ y (/ 1 (* x 9)))
(/ 1 (* x 9))
(/ 1/3 x)
(* 3 (sqrt x))
Outputs
(+.f64 (*.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) y)) (*.f64 (sqrt.f64 x) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))))
(+.f64 (*.f64 (sqrt.f64 x) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))) (*.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) y)))
(+.f64 (*.f64 (sqrt.f64 x) (+.f64 (*.f64 #s(literal 3 binary64) y) #s(literal -3 binary64))) (/.f64 (sqrt.f64 x) (/.f64 x #s(literal 1/3 binary64))))
(+.f64 (*.f64 (+.f64 (*.f64 #s(literal 3 binary64) y) #s(literal -3 binary64)) (sqrt.f64 x)) (*.f64 (/.f64 #s(literal 1/3 binary64) x) (sqrt.f64 x)))
(-.f64 (/.f64 (pow.f64 (*.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) y)) #s(literal 2 binary64)) (-.f64 (*.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) y)) (*.f64 (sqrt.f64 x) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))))) (/.f64 (pow.f64 (*.f64 (sqrt.f64 x) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))) #s(literal 2 binary64)) (-.f64 (*.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) y)) (*.f64 (sqrt.f64 x) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))))))
(fma.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) y) (*.f64 (sqrt.f64 x) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))))
(fma.f64 (sqrt.f64 x) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)) (*.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) y)))
(fma.f64 (sqrt.f64 x) (+.f64 (*.f64 #s(literal 3 binary64) y) #s(literal -3 binary64)) (/.f64 (sqrt.f64 x) (/.f64 x #s(literal 1/3 binary64))))
(fma.f64 #s(literal 3 binary64) (*.f64 y (sqrt.f64 x)) (*.f64 (sqrt.f64 x) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))))
(fma.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) (*.f64 (sqrt.f64 x) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))))
(fma.f64 (*.f64 #s(literal 3 binary64) y) (sqrt.f64 x) (*.f64 (sqrt.f64 x) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))))
(fma.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)) (sqrt.f64 x) (*.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) y)))
(fma.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) y (*.f64 (sqrt.f64 x) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))))
(fma.f64 (+.f64 (*.f64 #s(literal 3 binary64) y) #s(literal -3 binary64)) (sqrt.f64 x) (*.f64 (/.f64 #s(literal 1/3 binary64) x) (sqrt.f64 x)))
(fma.f64 (*.f64 (sqrt.f64 x) y) #s(literal 3 binary64) (*.f64 (sqrt.f64 x) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))))
(/.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 3 binary64) y) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (*.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) y)) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (sqrt.f64 x) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))) #s(literal 2 binary64)) (*.f64 (*.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) y)) (*.f64 (sqrt.f64 x) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)))))) (+.f64 (*.f64 #s(literal 27 binary64) (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64))) (pow.f64 (*.f64 (sqrt.f64 x) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) y)) (*.f64 (sqrt.f64 x) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)))) (-.f64 (pow.f64 (*.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) y)) #s(literal 2 binary64)) (pow.f64 (*.f64 (sqrt.f64 x) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 #s(literal 9 binary64) (*.f64 y y)) (*.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)) (-.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)) (*.f64 #s(literal 3 binary64) y)))) (*.f64 (sqrt.f64 x) (+.f64 (*.f64 (*.f64 y (*.f64 y y)) #s(literal 27 binary64)) (*.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)) (*.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (+.f64 (*.f64 #s(literal 3 binary64) y) #s(literal 3 binary64)) (/.f64 #s(literal -1/3 binary64) x)) (*.f64 (sqrt.f64 x) (-.f64 (*.f64 #s(literal 9 binary64) (*.f64 y y)) (*.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 #s(literal 9 binary64) (*.f64 y y)) (*.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)) (-.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)) (*.f64 #s(literal 3 binary64) y)))) (*.f64 (+.f64 (*.f64 (*.f64 y (*.f64 y y)) #s(literal 27 binary64)) (*.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)) (*.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))))) (sqrt.f64 x))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (+.f64 (*.f64 #s(literal 3 binary64) y) #s(literal 3 binary64)) (/.f64 #s(literal -1/3 binary64) x)) (*.f64 (-.f64 (*.f64 #s(literal 9 binary64) (*.f64 y y)) (*.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)))) (sqrt.f64 x))))
(/.f64 (+.f64 (*.f64 #s(literal 27 binary64) (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64))) (pow.f64 (*.f64 (sqrt.f64 x) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) y)) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (sqrt.f64 x) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))) #s(literal 2 binary64)) (*.f64 (*.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) y)) (*.f64 (sqrt.f64 x) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)))))))
(/.f64 (-.f64 (pow.f64 (*.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) y)) #s(literal 2 binary64)) (pow.f64 (*.f64 (sqrt.f64 x) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))) #s(literal 2 binary64))) (-.f64 (*.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) y)) (*.f64 (sqrt.f64 x) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)))))
(/.f64 (*.f64 (sqrt.f64 x) (+.f64 (*.f64 (*.f64 y (*.f64 y y)) #s(literal 27 binary64)) (*.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)) (*.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)))))) (+.f64 (*.f64 #s(literal 9 binary64) (*.f64 y y)) (*.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)) (-.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)) (*.f64 #s(literal 3 binary64) y)))))
(/.f64 (*.f64 (sqrt.f64 x) (-.f64 (*.f64 #s(literal 9 binary64) (*.f64 y y)) (*.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))))) (+.f64 (+.f64 (*.f64 #s(literal 3 binary64) y) #s(literal 3 binary64)) (/.f64 #s(literal -1/3 binary64) x)))
(/.f64 (*.f64 (+.f64 (*.f64 (*.f64 y (*.f64 y y)) #s(literal 27 binary64)) (*.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)) (*.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))))) (sqrt.f64 x)) (+.f64 (*.f64 #s(literal 9 binary64) (*.f64 y y)) (*.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)) (-.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)) (*.f64 #s(literal 3 binary64) y)))))
(/.f64 (*.f64 (-.f64 (*.f64 #s(literal 9 binary64) (*.f64 y y)) (*.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)))) (sqrt.f64 x)) (+.f64 (+.f64 (*.f64 #s(literal 3 binary64) y) #s(literal 3 binary64)) (/.f64 #s(literal -1/3 binary64) x)))
(/.f64 (neg.f64 (+.f64 (*.f64 #s(literal 27 binary64) (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64))) (pow.f64 (*.f64 (sqrt.f64 x) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (*.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) y)) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (sqrt.f64 x) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))) #s(literal 2 binary64)) (*.f64 (*.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) y)) (*.f64 (sqrt.f64 x) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) y)) #s(literal 2 binary64)) (pow.f64 (*.f64 (sqrt.f64 x) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))) #s(literal 2 binary64)))) (neg.f64 (-.f64 (*.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) y)) (*.f64 (sqrt.f64 x) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))))))
(/.f64 (neg.f64 (*.f64 (sqrt.f64 x) (+.f64 (*.f64 (*.f64 y (*.f64 y y)) #s(literal 27 binary64)) (*.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)) (*.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))))))) (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 #s(literal 9 binary64) (*.f64 y y)) (*.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)) (-.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)) (*.f64 #s(literal 3 binary64) y))))))
(/.f64 (neg.f64 (*.f64 (sqrt.f64 x) (-.f64 (*.f64 #s(literal 9 binary64) (*.f64 y y)) (*.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)))))) (-.f64 #s(literal 0 binary64) (+.f64 (+.f64 (*.f64 #s(literal 3 binary64) y) #s(literal 3 binary64)) (/.f64 #s(literal -1/3 binary64) x))))
(/.f64 (neg.f64 (*.f64 (+.f64 (*.f64 (*.f64 y (*.f64 y y)) #s(literal 27 binary64)) (*.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)) (*.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))))) (sqrt.f64 x))) (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 #s(literal 9 binary64) (*.f64 y y)) (*.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)) (-.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)) (*.f64 #s(literal 3 binary64) y))))))
(/.f64 (neg.f64 (*.f64 (-.f64 (*.f64 #s(literal 9 binary64) (*.f64 y y)) (*.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)))) (sqrt.f64 x))) (-.f64 #s(literal 0 binary64) (+.f64 (+.f64 (*.f64 #s(literal 3 binary64) y) #s(literal 3 binary64)) (/.f64 #s(literal -1/3 binary64) x))))
(/.f64 (+.f64 (pow.f64 (*.f64 (sqrt.f64 x) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))) #s(literal 3 binary64)) (*.f64 #s(literal 27 binary64) (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64)))) (+.f64 (pow.f64 (*.f64 (sqrt.f64 x) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) y)) #s(literal 2 binary64)) (*.f64 (*.f64 (sqrt.f64 x) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))) (*.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) y))))))
(/.f64 (+.f64 (pow.f64 (*.f64 (sqrt.f64 x) (+.f64 (*.f64 #s(literal 3 binary64) y) #s(literal -3 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 (sqrt.f64 x) (/.f64 x #s(literal 1/3 binary64))) #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 (sqrt.f64 x) (+.f64 (*.f64 #s(literal 3 binary64) y) #s(literal -3 binary64))) (*.f64 (sqrt.f64 x) (+.f64 (*.f64 #s(literal 3 binary64) y) #s(literal -3 binary64)))) (-.f64 (*.f64 (/.f64 (sqrt.f64 x) (/.f64 x #s(literal 1/3 binary64))) (/.f64 (sqrt.f64 x) (/.f64 x #s(literal 1/3 binary64)))) (*.f64 (*.f64 (sqrt.f64 x) (+.f64 (*.f64 #s(literal 3 binary64) y) #s(literal -3 binary64))) (/.f64 (sqrt.f64 x) (/.f64 x #s(literal 1/3 binary64)))))))
(/.f64 (+.f64 (pow.f64 (*.f64 (+.f64 (*.f64 #s(literal 3 binary64) y) #s(literal -3 binary64)) (sqrt.f64 x)) #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) x) (sqrt.f64 x)) #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 (+.f64 (*.f64 #s(literal 3 binary64) y) #s(literal -3 binary64)) (sqrt.f64 x)) (*.f64 (+.f64 (*.f64 #s(literal 3 binary64) y) #s(literal -3 binary64)) (sqrt.f64 x))) (-.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) x) (sqrt.f64 x)) (*.f64 (/.f64 #s(literal 1/3 binary64) x) (sqrt.f64 x))) (*.f64 (*.f64 (+.f64 (*.f64 #s(literal 3 binary64) y) #s(literal -3 binary64)) (sqrt.f64 x)) (*.f64 (/.f64 #s(literal 1/3 binary64) x) (sqrt.f64 x))))))
(/.f64 (-.f64 (pow.f64 (*.f64 (sqrt.f64 x) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))) #s(literal 2 binary64)) (pow.f64 (*.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) y)) #s(literal 2 binary64))) (-.f64 (*.f64 (sqrt.f64 x) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))) (*.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) y))))
(/.f64 (-.f64 (*.f64 (*.f64 (sqrt.f64 x) (+.f64 (*.f64 #s(literal 3 binary64) y) #s(literal -3 binary64))) (*.f64 (sqrt.f64 x) (+.f64 (*.f64 #s(literal 3 binary64) y) #s(literal -3 binary64)))) (*.f64 (/.f64 (sqrt.f64 x) (/.f64 x #s(literal 1/3 binary64))) (/.f64 (sqrt.f64 x) (/.f64 x #s(literal 1/3 binary64))))) (-.f64 (*.f64 (sqrt.f64 x) (+.f64 (*.f64 #s(literal 3 binary64) y) #s(literal -3 binary64))) (/.f64 (sqrt.f64 x) (/.f64 x #s(literal 1/3 binary64)))))
(/.f64 (-.f64 (*.f64 (*.f64 (+.f64 (*.f64 #s(literal 3 binary64) y) #s(literal -3 binary64)) (sqrt.f64 x)) (*.f64 (+.f64 (*.f64 #s(literal 3 binary64) y) #s(literal -3 binary64)) (sqrt.f64 x))) (*.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) x) (sqrt.f64 x)) (*.f64 (/.f64 #s(literal 1/3 binary64) x) (sqrt.f64 x)))) (-.f64 (*.f64 (+.f64 (*.f64 #s(literal 3 binary64) y) #s(literal -3 binary64)) (sqrt.f64 x)) (*.f64 (/.f64 #s(literal 1/3 binary64) x) (sqrt.f64 x))))
(*.f64 (sqrt.f64 x) (+.f64 (*.f64 #s(literal 3 binary64) y) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))))
(*.f64 (+.f64 (*.f64 #s(literal 3 binary64) y) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))) (sqrt.f64 x))
(*.f64 (+.f64 (*.f64 #s(literal 27 binary64) (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64))) (pow.f64 (*.f64 (sqrt.f64 x) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (*.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) y)) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (sqrt.f64 x) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))) #s(literal 2 binary64)) (*.f64 (*.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) y)) (*.f64 (sqrt.f64 x) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))))))))
(*.f64 (-.f64 (pow.f64 (*.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) y)) #s(literal 2 binary64)) (pow.f64 (*.f64 (sqrt.f64 x) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) y)) (*.f64 (sqrt.f64 x) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))))))
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(/.f64 (-.f64 #s(literal 0 binary64) (-.f64 (*.f64 y y) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) #s(literal 81 binary64)))) (-.f64 #s(literal 0 binary64) (-.f64 y (/.f64 #s(literal 1/9 binary64) x))))
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(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (-.f64 (*.f64 y y) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) #s(literal 81 binary64))))) (neg.f64 (-.f64 #s(literal 0 binary64) (-.f64 y (/.f64 #s(literal 1/9 binary64) x)))))
(/.f64 (neg.f64 (-.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) #s(literal 81 binary64)) (*.f64 y y))) (neg.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) y)))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 y y) (-.f64 y (/.f64 #s(literal 1/9 binary64) x))) #s(literal 3 binary64)) (pow.f64 (/.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) #s(literal 81 binary64)) (-.f64 y (/.f64 #s(literal 1/9 binary64) x))) #s(literal 3 binary64))) (+.f64 (*.f64 (/.f64 (*.f64 y y) (-.f64 y (/.f64 #s(literal 1/9 binary64) x))) (/.f64 (*.f64 y y) (-.f64 y (/.f64 #s(literal 1/9 binary64) x)))) (+.f64 (*.f64 (/.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) #s(literal 81 binary64)) (-.f64 y (/.f64 #s(literal 1/9 binary64) x))) (/.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) #s(literal 81 binary64)) (-.f64 y (/.f64 #s(literal 1/9 binary64) x)))) (*.f64 (/.f64 (*.f64 y y) (-.f64 y (/.f64 #s(literal 1/9 binary64) x))) (/.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) #s(literal 81 binary64)) (-.f64 y (/.f64 #s(literal 1/9 binary64) x)))))))
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 y y) (-.f64 y (/.f64 #s(literal 1/9 binary64) x))) (/.f64 (*.f64 y y) (-.f64 y (/.f64 #s(literal 1/9 binary64) x)))) (*.f64 (/.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) #s(literal 81 binary64)) (-.f64 y (/.f64 #s(literal 1/9 binary64) x))) (/.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) #s(literal 81 binary64)) (-.f64 y (/.f64 #s(literal 1/9 binary64) x))))) (+.f64 (/.f64 (*.f64 y y) (-.f64 y (/.f64 #s(literal 1/9 binary64) x))) (/.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) #s(literal 81 binary64)) (-.f64 y (/.f64 #s(literal 1/9 binary64) x)))))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 y (/.f64 #s(literal 1/9 binary64) x))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (+.f64 y (/.f64 #s(literal 1/9 binary64) x)))
(*.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 1 binary64))
(*.f64 (+.f64 (*.f64 y (*.f64 y y)) (/.f64 #s(literal 1/729 binary64) (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 y y) (/.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) y) (*.f64 x #s(literal 9 binary64))))))
(*.f64 (+.f64 (*.f64 y (*.f64 y y)) (/.f64 #s(literal 1/729 binary64) (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) #s(literal 81 binary64)) (-.f64 (*.f64 y y) (/.f64 y (*.f64 x #s(literal 9 binary64)))))))
(*.f64 (-.f64 (*.f64 y y) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) #s(literal 81 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 y (/.f64 #s(literal 1/9 binary64) x))))
(*.f64 (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 y (*.f64 y y)) (/.f64 #s(literal 1/729 binary64) (*.f64 x (*.f64 x x))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 y y) (/.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) y) (*.f64 x #s(literal 9 binary64)))))))
(*.f64 (-.f64 #s(literal 0 binary64) (-.f64 (*.f64 y y) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) #s(literal 81 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (-.f64 y (/.f64 #s(literal 1/9 binary64) x)))))
(*.f64 (-.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) #s(literal 81 binary64)) (*.f64 y y)) (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1/9 binary64) x) y)))
(exp.f64 (log.f64 (/.f64 #s(literal 1/9 binary64) x)))
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1/9 binary64) x)))
(neg.f64 (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1/9 binary64) x)))
(/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 x #s(literal 1/9 binary64)))
(/.f64 #s(literal -1 binary64) (*.f64 x #s(literal -9 binary64)))
(/.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -9 binary64))
(/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 9 binary64))
(/.f64 #s(literal 1/9 binary64) x)
(/.f64 #s(literal -1/9 binary64) (-.f64 #s(literal 0 binary64) x))
(pow.f64 (*.f64 x #s(literal 9 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (*.f64 x #s(literal 9 binary64)) (/.f64 #s(literal 1/9 binary64) x)) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 (*.f64 x #s(literal 9 binary64)) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x))
(*.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1/9 binary64) x)))
(*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1/9 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/9 binary64))
(*.f64 #s(literal 1/9 binary64) (/.f64 #s(literal 1 binary64) x))
(*.f64 (pow.f64 (*.f64 x #s(literal 9 binary64)) #s(literal -1/2 binary64)) (pow.f64 (*.f64 x #s(literal 9 binary64)) #s(literal -1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 x #s(literal 1/3 binary64))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal -1/3 binary64) x))
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(/.f64 #s(literal 1/3 binary64) x)
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(/.f64 #s(literal -1/3 binary64) (-.f64 #s(literal 0 binary64) x))
(pow.f64 (/.f64 x #s(literal 1/3 binary64)) #s(literal -1 binary64))
(*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) x))
(*.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) x))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/3 binary64) x))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 x #s(literal 1/3 binary64)))))
(*.f64 #s(literal -1/3 binary64) (/.f64 #s(literal -1 binary64) x))
(*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/3 binary64))
(*.f64 (pow.f64 (/.f64 x #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 x #s(literal 1/3 binary64)) #s(literal -1/2 binary64)))
(*.f64 (sqrt.f64 x) #s(literal 3 binary64))
(*.f64 #s(literal 3 binary64) (sqrt.f64 x))

simplify241.0ms (2.1%)

Algorithm
1×egg-herbie
Rules
4436×*-lowering-*.f32
4436×*-lowering-*.f64
1918×fnmadd-define
1502×times-frac
1010×associate-*r*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01301241
13861181
212631154
344371154
086151154
Stop Event
1×iter limit
1×node limit
Counts
180 → 180
Calls
Call 1
Inputs
(* 1/3 (sqrt (/ 1 x)))
(/ (+ (* 1/3 (sqrt x)) (* (sqrt (pow x 3)) (- (* 3 y) 3))) x)
(/ (+ (* 1/3 (sqrt x)) (* (sqrt (pow x 3)) (- (* 3 y) 3))) x)
(/ (+ (* 1/3 (sqrt x)) (* (sqrt (pow x 3)) (- (* 3 y) 3))) x)
(* (sqrt x) (- (* 3 y) 3))
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (- (* 3 y) 3))))
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (- (* 3 y) 3))))
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (- (* 3 y) 3))))
(* -1 (* (sqrt x) (* (pow (sqrt -1) 2) (- (* 3 y) 3))))
(* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- (* 3 y) 3))))))
(* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- (* 3 y) 3))))))
(* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- (* 3 y) 3))))))
(* (sqrt x) (- (* 1/3 (/ 1 x)) 3))
(+ (* 3 (* (sqrt x) y)) (* (sqrt x) (- (* 1/3 (/ 1 x)) 3)))
(+ (* 3 (* (sqrt x) y)) (* (sqrt x) (- (* 1/3 (/ 1 x)) 3)))
(+ (* 3 (* (sqrt x) y)) (* (sqrt x) (- (* 1/3 (/ 1 x)) 3)))
(* 3 (* (sqrt x) y))
(* y (+ (* 3 (sqrt x)) (* (sqrt x) (/ (- (* 1/3 (/ 1 x)) 3) y))))
(* y (+ (* 3 (sqrt x)) (* (sqrt x) (/ (- (* 1/3 (/ 1 x)) 3) y))))
(* y (+ (* 3 (sqrt x)) (* (sqrt x) (/ (- (* 1/3 (/ 1 x)) 3) y))))
(* 3 (* (sqrt x) y))
(* -1 (* y (+ (* -3 (sqrt x)) (* -1 (* (sqrt x) (/ (- (* 1/3 (/ 1 x)) 3) y))))))
(* -1 (* y (+ (* -3 (sqrt x)) (* -1 (* (sqrt x) (/ (- (* 1/3 (/ 1 x)) 3) y))))))
(* -1 (* y (+ (* -3 (sqrt x)) (* -1 (* (sqrt x) (/ (- (* 1/3 (/ 1 x)) 3) y))))))
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(- (* 1/3 (/ 1 x)) 3)
(- (+ (* 1/3 (/ 1 x)) (* 3 y)) 3)
(- (+ (* 1/3 (/ 1 x)) (* 3 y)) 3)
(- (+ (* 1/3 (/ 1 x)) (* 3 y)) 3)
(* 3 y)
(* y (- (+ 3 (/ 1/3 (* x y))) (* 3 (/ 1 y))))
(* y (- (+ 3 (/ 1/3 (* x y))) (* 3 (/ 1 y))))
(* y (- (+ 3 (/ 1/3 (* x y))) (* 3 (/ 1 y))))
(* 3 y)
(* -1 (* y (- (* -1 (/ (- (* 1/3 (/ 1 x)) 3) y)) 3)))
(* -1 (* y (- (* -1 (/ (- (* 1/3 (/ 1 x)) 3) y)) 3)))
(* -1 (* y (- (* -1 (/ (- (* 1/3 (/ 1 x)) 3) y)) 3)))
(/ 1/3 x)
(/ (+ 1/3 (* x (- (* 3 y) 3))) x)
(/ (+ 1/3 (* x (- (* 3 y) 3))) x)
(/ (+ 1/3 (* x (- (* 3 y) 3))) x)
(- (* 3 y) 3)
(- (+ (* 3 y) (* 1/3 (/ 1 x))) 3)
(- (+ (* 3 y) (* 1/3 (/ 1 x))) 3)
(- (+ (* 3 y) (* 1/3 (/ 1 x))) 3)
(- (* 3 y) 3)
(- (+ (* 3 y) (* 1/3 (/ 1 x))) 3)
(- (+ (* 3 y) (* 1/3 (/ 1 x))) 3)
(- (+ (* 3 y) (* 1/3 (/ 1 x))) 3)
(* 3 y)
(* 3 y)
(* 3 y)
(* 3 y)
(* 3 y)
(* 3 y)
(* 3 y)
(* 3 y)
(* 3 y)
(* 3 y)
(* 3 y)
(* 3 y)
(* 1/3 (sqrt (/ 1 x)))
(/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) (- y 1)))) x)
(/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) (- y 1)))) x)
(/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) (- y 1)))) x)
(* 3 (* (sqrt x) (- y 1)))
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) (- y 1)))))
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) (- y 1)))))
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) (- y 1)))))
(* -3 (* (sqrt x) (* (pow (sqrt -1) 2) (- y 1))))
(* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1)))))))
(* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1)))))))
(* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1)))))))
(* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1)))
(+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1))))
(+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1))))
(+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1))))
(* 3 (* (sqrt x) y))
(* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))
(* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))
(* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))
(* 3 (* (sqrt x) y))
(* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))))
(* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))))
(* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))))
(- (* 1/9 (/ 1 x)) 1)
(- (+ y (* 1/9 (/ 1 x))) 1)
(- (+ y (* 1/9 (/ 1 x))) 1)
(- (+ y (* 1/9 (/ 1 x))) 1)
y
(* y (- (+ 1 (/ 1/9 (* x y))) (/ 1 y)))
(* y (- (+ 1 (/ 1/9 (* x y))) (/ 1 y)))
(* y (- (+ 1 (/ 1/9 (* x y))) (/ 1 y)))
y
(* -1 (* y (- (* -1 (/ (- (* 1/9 (/ 1 x)) 1) y)) 1)))
(* -1 (* y (- (* -1 (/ (- (* 1/9 (/ 1 x)) 1) y)) 1)))
(* -1 (* y (- (* -1 (/ (- (* 1/9 (/ 1 x)) 1) y)) 1)))
(/ 1/9 x)
(/ (+ 1/9 (* x (- y 1))) x)
(/ (+ 1/9 (* x (- y 1))) x)
(/ (+ 1/9 (* x (- y 1))) x)
(- y 1)
(- (+ y (* 1/9 (/ 1 x))) 1)
(- (+ y (* 1/9 (/ 1 x))) 1)
(- (+ y (* 1/9 (/ 1 x))) 1)
(- y 1)
(- (+ y (* 1/9 (/ 1 x))) 1)
(- (+ y (* 1/9 (/ 1 x))) 1)
(- (+ y (* 1/9 (/ 1 x))) 1)
(/ 1/9 x)
(+ y (* 1/9 (/ 1 x)))
(+ y (* 1/9 (/ 1 x)))
(+ y (* 1/9 (/ 1 x)))
y
(* y (+ 1 (* 1/9 (/ 1 (* x y)))))
(* y (+ 1 (* 1/9 (/ 1 (* x y)))))
(* y (+ 1 (* 1/9 (/ 1 (* x y)))))
y
(* y (+ 1 (* 1/9 (/ 1 (* x y)))))
(* y (+ 1 (* 1/9 (/ 1 (* x y)))))
(* y (+ 1 (* 1/9 (/ 1 (* x y)))))
(/ 1/9 x)
(/ (+ 1/9 (* x y)) x)
(/ (+ 1/9 (* x y)) x)
(/ (+ 1/9 (* x y)) x)
y
(+ y (* 1/9 (/ 1 x)))
(+ y (* 1/9 (/ 1 x)))
(+ y (* 1/9 (/ 1 x)))
y
(+ y (* 1/9 (/ 1 x)))
(+ y (* 1/9 (/ 1 x)))
(+ y (* 1/9 (/ 1 x)))
(/ 1/9 x)
(/ 1/9 x)
(/ 1/9 x)
(/ 1/9 x)
(/ 1/9 x)
(/ 1/9 x)
(/ 1/9 x)
(/ 1/9 x)
(/ 1/9 x)
(/ 1/9 x)
(/ 1/9 x)
(/ 1/9 x)
(/ 1/3 x)
(/ 1/3 x)
(/ 1/3 x)
(/ 1/3 x)
(/ 1/3 x)
(/ 1/3 x)
(/ 1/3 x)
(/ 1/3 x)
(/ 1/3 x)
(/ 1/3 x)
(/ 1/3 x)
(/ 1/3 x)
(* 3 (sqrt x))
(* 3 (sqrt x))
(* 3 (sqrt x))
(* 3 (sqrt x))
(* 3 (sqrt x))
(* 3 (sqrt x))
(* 3 (sqrt x))
(* 3 (sqrt x))
(* -3 (* (sqrt x) (pow (sqrt -1) 2)))
(* -3 (* (sqrt x) (pow (sqrt -1) 2)))
(* -3 (* (sqrt x) (pow (sqrt -1) 2)))
(* -3 (* (sqrt x) (pow (sqrt -1) 2)))
Outputs
(* 1/3 (sqrt (/ 1 x)))
(*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(/ (+ (* 1/3 (sqrt x)) (* (sqrt (pow x 3)) (- (* 3 y) 3))) x)
(/.f64 (+.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (*.f64 (sqrt.f64 (*.f64 x (*.f64 x x))) (+.f64 (*.f64 #s(literal 3 binary64) y) #s(literal -3 binary64)))) x)
(/ (+ (* 1/3 (sqrt x)) (* (sqrt (pow x 3)) (- (* 3 y) 3))) x)
(/.f64 (+.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (*.f64 (sqrt.f64 (*.f64 x (*.f64 x x))) (+.f64 (*.f64 #s(literal 3 binary64) y) #s(literal -3 binary64)))) x)
(/ (+ (* 1/3 (sqrt x)) (* (sqrt (pow x 3)) (- (* 3 y) 3))) x)
(/.f64 (+.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (*.f64 (sqrt.f64 (*.f64 x (*.f64 x x))) (+.f64 (*.f64 #s(literal 3 binary64) y) #s(literal -3 binary64)))) x)
(* (sqrt x) (- (* 3 y) 3))
(*.f64 (sqrt.f64 x) (+.f64 (*.f64 #s(literal 3 binary64) y) #s(literal -3 binary64)))
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (- (* 3 y) 3))))
(*.f64 x (+.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 x x)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (+.f64 (*.f64 #s(literal 3 binary64) y) #s(literal -3 binary64)))))
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (- (* 3 y) 3))))
(*.f64 x (+.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 x x)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (+.f64 (*.f64 #s(literal 3 binary64) y) #s(literal -3 binary64)))))
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (- (* 3 y) 3))))
(*.f64 x (+.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 x x)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (+.f64 (*.f64 #s(literal 3 binary64) y) #s(literal -3 binary64)))))
(* -1 (* (sqrt x) (* (pow (sqrt -1) 2) (- (* 3 y) 3))))
(*.f64 (sqrt.f64 x) (+.f64 (*.f64 #s(literal 3 binary64) y) #s(literal -3 binary64)))
(* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- (* 3 y) 3))))))
(*.f64 x (+.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 x x)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (+.f64 (*.f64 #s(literal 3 binary64) y) #s(literal -3 binary64)))))
(* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- (* 3 y) 3))))))
(*.f64 x (+.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 x x)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (+.f64 (*.f64 #s(literal 3 binary64) y) #s(literal -3 binary64)))))
(* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- (* 3 y) 3))))))
(*.f64 x (+.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 x x)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (+.f64 (*.f64 #s(literal 3 binary64) y) #s(literal -3 binary64)))))
(* (sqrt x) (- (* 1/3 (/ 1 x)) 3))
(*.f64 (sqrt.f64 x) (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64)))
(+ (* 3 (* (sqrt x) y)) (* (sqrt x) (- (* 1/3 (/ 1 x)) 3)))
(*.f64 (sqrt.f64 x) (+.f64 (*.f64 #s(literal 3 binary64) y) (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64))))
(+ (* 3 (* (sqrt x) y)) (* (sqrt x) (- (* 1/3 (/ 1 x)) 3)))
(*.f64 (sqrt.f64 x) (+.f64 (*.f64 #s(literal 3 binary64) y) (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64))))
(+ (* 3 (* (sqrt x) y)) (* (sqrt x) (- (* 1/3 (/ 1 x)) 3)))
(*.f64 (sqrt.f64 x) (+.f64 (*.f64 #s(literal 3 binary64) y) (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64))))
(* 3 (* (sqrt x) y))
(*.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) y))
(* y (+ (* 3 (sqrt x)) (* (sqrt x) (/ (- (* 1/3 (/ 1 x)) 3) y))))
(*.f64 (sqrt.f64 x) (+.f64 (*.f64 #s(literal 3 binary64) y) (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64))))
(* y (+ (* 3 (sqrt x)) (* (sqrt x) (/ (- (* 1/3 (/ 1 x)) 3) y))))
(*.f64 (sqrt.f64 x) (+.f64 (*.f64 #s(literal 3 binary64) y) (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64))))
(* y (+ (* 3 (sqrt x)) (* (sqrt x) (/ (- (* 1/3 (/ 1 x)) 3) y))))
(*.f64 (sqrt.f64 x) (+.f64 (*.f64 #s(literal 3 binary64) y) (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64))))
(* 3 (* (sqrt x) y))
(*.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) y))
(* -1 (* y (+ (* -3 (sqrt x)) (* -1 (* (sqrt x) (/ (- (* 1/3 (/ 1 x)) 3) y))))))
(*.f64 (sqrt.f64 x) (+.f64 (*.f64 #s(literal 3 binary64) y) (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64))))
(* -1 (* y (+ (* -3 (sqrt x)) (* -1 (* (sqrt x) (/ (- (* 1/3 (/ 1 x)) 3) y))))))
(*.f64 (sqrt.f64 x) (+.f64 (*.f64 #s(literal 3 binary64) y) (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64))))
(* -1 (* y (+ (* -3 (sqrt x)) (* -1 (* (sqrt x) (/ (- (* 1/3 (/ 1 x)) 3) y))))))
(*.f64 (sqrt.f64 x) (+.f64 (*.f64 #s(literal 3 binary64) y) (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64))))
(sqrt x)
(sqrt.f64 x)
(sqrt x)
(sqrt.f64 x)
(sqrt x)
(sqrt.f64 x)
(sqrt x)
(sqrt.f64 x)
(sqrt x)
(sqrt.f64 x)
(sqrt x)
(sqrt.f64 x)
(sqrt x)
(sqrt.f64 x)
(sqrt x)
(sqrt.f64 x)
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(sqrt.f64 x)
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(sqrt.f64 x)
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(sqrt.f64 x)
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(sqrt.f64 x)
(- (* 1/3 (/ 1 x)) 3)
(+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64))
(- (+ (* 1/3 (/ 1 x)) (* 3 y)) 3)
(+.f64 (*.f64 #s(literal 3 binary64) y) (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64)))
(- (+ (* 1/3 (/ 1 x)) (* 3 y)) 3)
(+.f64 (*.f64 #s(literal 3 binary64) y) (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64)))
(- (+ (* 1/3 (/ 1 x)) (* 3 y)) 3)
(+.f64 (*.f64 #s(literal 3 binary64) y) (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64)))
(* 3 y)
(*.f64 #s(literal 3 binary64) y)
(* y (- (+ 3 (/ 1/3 (* x y))) (* 3 (/ 1 y))))
(+.f64 (*.f64 #s(literal 3 binary64) y) (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64)))
(* y (- (+ 3 (/ 1/3 (* x y))) (* 3 (/ 1 y))))
(+.f64 (*.f64 #s(literal 3 binary64) y) (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64)))
(* y (- (+ 3 (/ 1/3 (* x y))) (* 3 (/ 1 y))))
(+.f64 (*.f64 #s(literal 3 binary64) y) (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64)))
(* 3 y)
(*.f64 #s(literal 3 binary64) y)
(* -1 (* y (- (* -1 (/ (- (* 1/3 (/ 1 x)) 3) y)) 3)))
(+.f64 (*.f64 #s(literal 3 binary64) y) (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64)))
(* -1 (* y (- (* -1 (/ (- (* 1/3 (/ 1 x)) 3) y)) 3)))
(+.f64 (*.f64 #s(literal 3 binary64) y) (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64)))
(* -1 (* y (- (* -1 (/ (- (* 1/3 (/ 1 x)) 3) y)) 3)))
(+.f64 (*.f64 #s(literal 3 binary64) y) (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64)))
(/ 1/3 x)
(/.f64 #s(literal 1/3 binary64) x)
(/ (+ 1/3 (* x (- (* 3 y) 3))) x)
(/.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 x (+.f64 (*.f64 #s(literal 3 binary64) y) #s(literal -3 binary64)))) x)
(/ (+ 1/3 (* x (- (* 3 y) 3))) x)
(/.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 x (+.f64 (*.f64 #s(literal 3 binary64) y) #s(literal -3 binary64)))) x)
(/ (+ 1/3 (* x (- (* 3 y) 3))) x)
(/.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 x (+.f64 (*.f64 #s(literal 3 binary64) y) #s(literal -3 binary64)))) x)
(- (* 3 y) 3)
(+.f64 (*.f64 #s(literal 3 binary64) y) #s(literal -3 binary64))
(- (+ (* 3 y) (* 1/3 (/ 1 x))) 3)
(+.f64 (*.f64 #s(literal 3 binary64) y) (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64)))
(- (+ (* 3 y) (* 1/3 (/ 1 x))) 3)
(+.f64 (*.f64 #s(literal 3 binary64) y) (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64)))
(- (+ (* 3 y) (* 1/3 (/ 1 x))) 3)
(+.f64 (*.f64 #s(literal 3 binary64) y) (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64)))
(- (* 3 y) 3)
(+.f64 (*.f64 #s(literal 3 binary64) y) #s(literal -3 binary64))
(- (+ (* 3 y) (* 1/3 (/ 1 x))) 3)
(+.f64 (*.f64 #s(literal 3 binary64) y) (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64)))
(- (+ (* 3 y) (* 1/3 (/ 1 x))) 3)
(+.f64 (*.f64 #s(literal 3 binary64) y) (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64)))
(- (+ (* 3 y) (* 1/3 (/ 1 x))) 3)
(+.f64 (*.f64 #s(literal 3 binary64) y) (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64)))
(* 3 y)
(*.f64 #s(literal 3 binary64) y)
(* 3 y)
(*.f64 #s(literal 3 binary64) y)
(* 3 y)
(*.f64 #s(literal 3 binary64) y)
(* 3 y)
(*.f64 #s(literal 3 binary64) y)
(* 3 y)
(*.f64 #s(literal 3 binary64) y)
(* 3 y)
(*.f64 #s(literal 3 binary64) y)
(* 3 y)
(*.f64 #s(literal 3 binary64) y)
(* 3 y)
(*.f64 #s(literal 3 binary64) y)
(* 3 y)
(*.f64 #s(literal 3 binary64) y)
(* 3 y)
(*.f64 #s(literal 3 binary64) y)
(* 3 y)
(*.f64 #s(literal 3 binary64) y)
(* 3 y)
(*.f64 #s(literal 3 binary64) y)
(* 1/3 (sqrt (/ 1 x)))
(*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) (- y 1)))) x)
(/.f64 (+.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (*.f64 (sqrt.f64 (*.f64 x (*.f64 x x))) (+.f64 (*.f64 #s(literal 3 binary64) y) #s(literal -3 binary64)))) x)
(/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) (- y 1)))) x)
(/.f64 (+.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (*.f64 (sqrt.f64 (*.f64 x (*.f64 x x))) (+.f64 (*.f64 #s(literal 3 binary64) y) #s(literal -3 binary64)))) x)
(/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) (- y 1)))) x)
(/.f64 (+.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (*.f64 (sqrt.f64 (*.f64 x (*.f64 x x))) (+.f64 (*.f64 #s(literal 3 binary64) y) #s(literal -3 binary64)))) x)
(* 3 (* (sqrt x) (- y 1)))
(*.f64 (sqrt.f64 x) (+.f64 (*.f64 #s(literal 3 binary64) y) #s(literal -3 binary64)))
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) (- y 1)))))
(*.f64 x (+.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 x x)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (+.f64 (*.f64 #s(literal 3 binary64) y) #s(literal -3 binary64)))))
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) (- y 1)))))
(*.f64 x (+.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 x x)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (+.f64 (*.f64 #s(literal 3 binary64) y) #s(literal -3 binary64)))))
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) (- y 1)))))
(*.f64 x (+.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 x x)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (+.f64 (*.f64 #s(literal 3 binary64) y) #s(literal -3 binary64)))))
(* -3 (* (sqrt x) (* (pow (sqrt -1) 2) (- y 1))))
(*.f64 (sqrt.f64 x) (+.f64 (*.f64 #s(literal 3 binary64) y) #s(literal -3 binary64)))
(* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1)))))))
(*.f64 x (+.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 x x)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (+.f64 (*.f64 #s(literal 3 binary64) y) #s(literal -3 binary64)))))
(* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1)))))))
(*.f64 x (+.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 x x)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (+.f64 (*.f64 #s(literal 3 binary64) y) #s(literal -3 binary64)))))
(* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1)))))))
(*.f64 x (+.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 x x)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (+.f64 (*.f64 #s(literal 3 binary64) y) #s(literal -3 binary64)))))
(* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1)))
(*.f64 (sqrt.f64 x) (+.f64 #s(literal -3 binary64) (*.f64 #s(literal 3 binary64) (/.f64 #s(literal 1/9 binary64) x))))
(+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1))))
(*.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) (+.f64 y (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/9 binary64) x)))))
(+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1))))
(*.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) (+.f64 y (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/9 binary64) x)))))
(+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1))))
(*.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) (+.f64 y (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/9 binary64) x)))))
(* 3 (* (sqrt x) y))
(*.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) y))
(* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))
(*.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) (+.f64 y (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/9 binary64) x)))))
(* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))
(*.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) (+.f64 y (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/9 binary64) x)))))
(* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))
(*.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) (+.f64 y (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/9 binary64) x)))))
(* 3 (* (sqrt x) y))
(*.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) y))
(* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))))
(*.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) (+.f64 y (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/9 binary64) x)))))
(* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))))
(*.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) (+.f64 y (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/9 binary64) x)))))
(* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))))
(*.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) (+.f64 y (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/9 binary64) x)))))
(- (* 1/9 (/ 1 x)) 1)
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/9 binary64) x))
(- (+ y (* 1/9 (/ 1 x))) 1)
(+.f64 y (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/9 binary64) x)))
(- (+ y (* 1/9 (/ 1 x))) 1)
(+.f64 y (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/9 binary64) x)))
(- (+ y (* 1/9 (/ 1 x))) 1)
(+.f64 y (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/9 binary64) x)))
y
(* y (- (+ 1 (/ 1/9 (* x y))) (/ 1 y)))
(+.f64 y (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/9 binary64) x)))
(* y (- (+ 1 (/ 1/9 (* x y))) (/ 1 y)))
(+.f64 y (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/9 binary64) x)))
(* y (- (+ 1 (/ 1/9 (* x y))) (/ 1 y)))
(+.f64 y (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/9 binary64) x)))
y
(* -1 (* y (- (* -1 (/ (- (* 1/9 (/ 1 x)) 1) y)) 1)))
(+.f64 y (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/9 binary64) x)))
(* -1 (* y (- (* -1 (/ (- (* 1/9 (/ 1 x)) 1) y)) 1)))
(+.f64 y (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/9 binary64) x)))
(* -1 (* y (- (* -1 (/ (- (* 1/9 (/ 1 x)) 1) y)) 1)))
(+.f64 y (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/9 binary64) x)))
(/ 1/9 x)
(/.f64 #s(literal 1/9 binary64) x)
(/ (+ 1/9 (* x (- y 1))) x)
(/.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 x (+.f64 y #s(literal -1 binary64)))) x)
(/ (+ 1/9 (* x (- y 1))) x)
(/.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 x (+.f64 y #s(literal -1 binary64)))) x)
(/ (+ 1/9 (* x (- y 1))) x)
(/.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 x (+.f64 y #s(literal -1 binary64)))) x)
(- y 1)
(+.f64 y #s(literal -1 binary64))
(- (+ y (* 1/9 (/ 1 x))) 1)
(+.f64 y (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/9 binary64) x)))
(- (+ y (* 1/9 (/ 1 x))) 1)
(+.f64 y (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/9 binary64) x)))
(- (+ y (* 1/9 (/ 1 x))) 1)
(+.f64 y (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/9 binary64) x)))
(- y 1)
(+.f64 y #s(literal -1 binary64))
(- (+ y (* 1/9 (/ 1 x))) 1)
(+.f64 y (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/9 binary64) x)))
(- (+ y (* 1/9 (/ 1 x))) 1)
(+.f64 y (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/9 binary64) x)))
(- (+ y (* 1/9 (/ 1 x))) 1)
(+.f64 y (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/9 binary64) x)))
(/ 1/9 x)
(/.f64 #s(literal 1/9 binary64) x)
(+ y (* 1/9 (/ 1 x)))
(+.f64 y (/.f64 #s(literal 1/9 binary64) x))
(+ y (* 1/9 (/ 1 x)))
(+.f64 y (/.f64 #s(literal 1/9 binary64) x))
(+ y (* 1/9 (/ 1 x)))
(+.f64 y (/.f64 #s(literal 1/9 binary64) x))
y
(* y (+ 1 (* 1/9 (/ 1 (* x y)))))
(+.f64 y (/.f64 #s(literal 1/9 binary64) x))
(* y (+ 1 (* 1/9 (/ 1 (* x y)))))
(+.f64 y (/.f64 #s(literal 1/9 binary64) x))
(* y (+ 1 (* 1/9 (/ 1 (* x y)))))
(+.f64 y (/.f64 #s(literal 1/9 binary64) x))
y
(* y (+ 1 (* 1/9 (/ 1 (* x y)))))
(+.f64 y (/.f64 #s(literal 1/9 binary64) x))
(* y (+ 1 (* 1/9 (/ 1 (* x y)))))
(+.f64 y (/.f64 #s(literal 1/9 binary64) x))
(* y (+ 1 (* 1/9 (/ 1 (* x y)))))
(+.f64 y (/.f64 #s(literal 1/9 binary64) x))
(/ 1/9 x)
(/.f64 #s(literal 1/9 binary64) x)
(/ (+ 1/9 (* x y)) x)
(/.f64 (+.f64 (*.f64 x y) #s(literal 1/9 binary64)) x)
(/ (+ 1/9 (* x y)) x)
(/.f64 (+.f64 (*.f64 x y) #s(literal 1/9 binary64)) x)
(/ (+ 1/9 (* x y)) x)
(/.f64 (+.f64 (*.f64 x y) #s(literal 1/9 binary64)) x)
y
(+ y (* 1/9 (/ 1 x)))
(+.f64 y (/.f64 #s(literal 1/9 binary64) x))
(+ y (* 1/9 (/ 1 x)))
(+.f64 y (/.f64 #s(literal 1/9 binary64) x))
(+ y (* 1/9 (/ 1 x)))
(+.f64 y (/.f64 #s(literal 1/9 binary64) x))
y
(+ y (* 1/9 (/ 1 x)))
(+.f64 y (/.f64 #s(literal 1/9 binary64) x))
(+ y (* 1/9 (/ 1 x)))
(+.f64 y (/.f64 #s(literal 1/9 binary64) x))
(+ y (* 1/9 (/ 1 x)))
(+.f64 y (/.f64 #s(literal 1/9 binary64) x))
(/ 1/9 x)
(/.f64 #s(literal 1/9 binary64) x)
(/ 1/9 x)
(/.f64 #s(literal 1/9 binary64) x)
(/ 1/9 x)
(/.f64 #s(literal 1/9 binary64) x)
(/ 1/9 x)
(/.f64 #s(literal 1/9 binary64) x)
(/ 1/9 x)
(/.f64 #s(literal 1/9 binary64) x)
(/ 1/9 x)
(/.f64 #s(literal 1/9 binary64) x)
(/ 1/9 x)
(/.f64 #s(literal 1/9 binary64) x)
(/ 1/9 x)
(/.f64 #s(literal 1/9 binary64) x)
(/ 1/9 x)
(/.f64 #s(literal 1/9 binary64) x)
(/ 1/9 x)
(/.f64 #s(literal 1/9 binary64) x)
(/ 1/9 x)
(/.f64 #s(literal 1/9 binary64) x)
(/ 1/9 x)
(/.f64 #s(literal 1/9 binary64) x)
(/ 1/3 x)
(/.f64 #s(literal 1/3 binary64) x)
(/ 1/3 x)
(/.f64 #s(literal 1/3 binary64) x)
(/ 1/3 x)
(/.f64 #s(literal 1/3 binary64) x)
(/ 1/3 x)
(/.f64 #s(literal 1/3 binary64) x)
(/ 1/3 x)
(/.f64 #s(literal 1/3 binary64) x)
(/ 1/3 x)
(/.f64 #s(literal 1/3 binary64) x)
(/ 1/3 x)
(/.f64 #s(literal 1/3 binary64) x)
(/ 1/3 x)
(/.f64 #s(literal 1/3 binary64) x)
(/ 1/3 x)
(/.f64 #s(literal 1/3 binary64) x)
(/ 1/3 x)
(/.f64 #s(literal 1/3 binary64) x)
(/ 1/3 x)
(/.f64 #s(literal 1/3 binary64) x)
(/ 1/3 x)
(/.f64 #s(literal 1/3 binary64) x)
(* 3 (sqrt x))
(*.f64 (sqrt.f64 x) #s(literal 3 binary64))
(* 3 (sqrt x))
(*.f64 (sqrt.f64 x) #s(literal 3 binary64))
(* 3 (sqrt x))
(*.f64 (sqrt.f64 x) #s(literal 3 binary64))
(* 3 (sqrt x))
(*.f64 (sqrt.f64 x) #s(literal 3 binary64))
(* 3 (sqrt x))
(*.f64 (sqrt.f64 x) #s(literal 3 binary64))
(* 3 (sqrt x))
(*.f64 (sqrt.f64 x) #s(literal 3 binary64))
(* 3 (sqrt x))
(*.f64 (sqrt.f64 x) #s(literal 3 binary64))
(* 3 (sqrt x))
(*.f64 (sqrt.f64 x) #s(literal 3 binary64))
(* -3 (* (sqrt x) (pow (sqrt -1) 2)))
(*.f64 (sqrt.f64 x) #s(literal 3 binary64))
(* -3 (* (sqrt x) (pow (sqrt -1) 2)))
(*.f64 (sqrt.f64 x) #s(literal 3 binary64))
(* -3 (* (sqrt x) (pow (sqrt -1) 2)))
(*.f64 (sqrt.f64 x) #s(literal 3 binary64))
(* -3 (* (sqrt x) (pow (sqrt -1) 2)))
(*.f64 (sqrt.f64 x) #s(literal 3 binary64))

eval73.0ms (0.6%)

Compiler

Compiled 12903 to 1220 computations (90.5% saved)

prune76.0ms (0.7%)

Pruning

26 alts after pruning (25 fresh and 1 done)

PrunedKeptTotal
New49725522
Fresh000
Picked112
Done000
Total49826524
Accuracy
100.0%
Counts
524 → 26
Alt Table
Click to see full alt table
StatusAccuracyProgram
64.2%
(/.f64 (+.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (*.f64 (sqrt.f64 (*.f64 x (*.f64 x x))) (+.f64 (*.f64 #s(literal 3 binary64) y) #s(literal -3 binary64)))) x)
62.6%
(/.f64 (*.f64 (-.f64 (*.f64 #s(literal 9 binary64) (*.f64 y y)) (*.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)))) (sqrt.f64 x)) (+.f64 (+.f64 (*.f64 #s(literal 3 binary64) y) #s(literal 3 binary64)) (/.f64 #s(literal -1/3 binary64) x)))
▶99.3%
(/.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 y (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)))))
99.4%
(/.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 3 binary64) y) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)))))
▶62.5%
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (+.f64 (*.f64 #s(literal 3 binary64) y) #s(literal 3 binary64)) (/.f64 #s(literal -1/3 binary64) x)) (*.f64 (-.f64 (*.f64 #s(literal 9 binary64) (*.f64 y y)) (*.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)))) (sqrt.f64 x))))
62.7%
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 y (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64))) (*.f64 (+.f64 (*.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) (+.f64 y (/.f64 #s(literal 1/9 binary64) x))) #s(literal -1 binary64)) (*.f64 (sqrt.f64 x) #s(literal 3 binary64)))))
99.2%
(*.f64 (pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 3 binary64) y) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))))
57.8%
(*.f64 (pow.f64 (*.f64 x x) #s(literal 1/4 binary64)) (+.f64 (*.f64 #s(literal 3 binary64) y) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))))
65.4%
(*.f64 (/.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) (+.f64 y (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)))) (/.f64 (+.f64 (*.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) (+.f64 y (/.f64 #s(literal 1/9 binary64) x))) #s(literal -1 binary64)) #s(literal 1 binary64)))
99.4%
(*.f64 (+.f64 y (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64))) (*.f64 (sqrt.f64 x) #s(literal 3 binary64)))
62.8%
(*.f64 (*.f64 (+.f64 (*.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) (+.f64 y (/.f64 #s(literal 1/9 binary64) x))) #s(literal -1 binary64)) (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 y (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)))))
39.9%
(*.f64 (*.f64 (+.f64 (*.f64 (*.f64 y (*.f64 y y)) #s(literal 27 binary64)) (*.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)) (*.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))))) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 9 binary64) (*.f64 y y)) (*.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)) (-.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)) (*.f64 #s(literal 3 binary64) y))))))
▶99.4%
(*.f64 (*.f64 (sqrt.f64 x) (+.f64 y (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)))) #s(literal 3 binary64))
▶36.1%
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1/9 binary64) x))
61.9%
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)))
✓99.5%
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64)))
38.5%
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) y)
62.6%
(*.f64 (sqrt.f64 x) (/.f64 (+.f64 (*.f64 (+.f64 (*.f64 (*.f64 y (*.f64 y y)) #s(literal 27 binary64)) #s(literal -27 binary64)) (/.f64 x #s(literal 1/3 binary64))) (*.f64 (+.f64 (*.f64 #s(literal 9 binary64) (*.f64 y y)) (-.f64 #s(literal 9 binary64) (*.f64 (*.f64 #s(literal 3 binary64) y) #s(literal -3 binary64)))) #s(literal 1 binary64))) (*.f64 (+.f64 (*.f64 #s(literal 9 binary64) (*.f64 y y)) (-.f64 #s(literal 9 binary64) (*.f64 (*.f64 #s(literal 3 binary64) y) #s(literal -3 binary64)))) (/.f64 x #s(literal 1/3 binary64)))))
36.1%
(*.f64 (sqrt.f64 x) (/.f64 #s(literal 1/3 binary64) x))
61.9%
(*.f64 (sqrt.f64 x) (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64)))
99.4%
(*.f64 (sqrt.f64 x) (+.f64 (*.f64 #s(literal 3 binary64) y) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1 binary64) (/.f64 x #s(literal 1/3 binary64))))))
63.6%
(*.f64 (sqrt.f64 x) (+.f64 (*.f64 #s(literal 3 binary64) y) #s(literal -3 binary64)))
61.9%
(*.f64 (sqrt.f64 x) (+.f64 #s(literal -3 binary64) (*.f64 #s(literal 3 binary64) (/.f64 #s(literal 1/9 binary64) x))))
38.5%
(*.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) y))
66.2%
(*.f64 x (+.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 x x)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (+.f64 (*.f64 #s(literal 3 binary64) y) #s(literal -3 binary64)))))
▶36.2%
(*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
Compiler

Compiled 1024 to 678 computations (33.8% saved)

simplify264.0ms (2.2%)

Algorithm
1×egg-herbie
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(+.f64 (*.f64 #s(literal 3 binary64) y) #s(literal 3 binary64))
✓cost-diff0
(+.f64 (+.f64 (*.f64 #s(literal 3 binary64) y) #s(literal 3 binary64)) (/.f64 #s(literal -1/3 binary64) x))
✓cost-diff0
(/.f64 (+.f64 (+.f64 (*.f64 #s(literal 3 binary64) y) #s(literal 3 binary64)) (/.f64 #s(literal -1/3 binary64) x)) (*.f64 (-.f64 (*.f64 #s(literal 9 binary64) (*.f64 y y)) (*.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)))) (sqrt.f64 x)))
✓cost-diff128
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (+.f64 (*.f64 #s(literal 3 binary64) y) #s(literal 3 binary64)) (/.f64 #s(literal -1/3 binary64) x)) (*.f64 (-.f64 (*.f64 #s(literal 9 binary64) (*.f64 y y)) (*.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)))) (sqrt.f64 x))))
✓cost-diff0
(/.f64 #s(literal 1 binary64) (+.f64 y (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64))))
✓cost-diff0
(sqrt.f64 x)
✓cost-diff0
(*.f64 (sqrt.f64 x) #s(literal 3 binary64))
✓cost-diff128
(/.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 y (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)))))
✓cost-diff0
(/.f64 #s(literal 1/9 binary64) x)
✓cost-diff0
(sqrt.f64 x)
✓cost-diff0
(*.f64 #s(literal 3 binary64) (sqrt.f64 x))
✓cost-diff128
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1/9 binary64) x))
✓cost-diff0
(/.f64 #s(literal 1 binary64) x)
✓cost-diff0
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
✓cost-diff0
(*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
✓cost-diff0
(+.f64 y (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)))
✓cost-diff0
(sqrt.f64 x)
✓cost-diff0
(*.f64 (sqrt.f64 x) (+.f64 y (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64))))
✓cost-diff0
(*.f64 (*.f64 (sqrt.f64 x) (+.f64 y (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)))) #s(literal 3 binary64))
Rules
3666×+-lowering-+.f64
3666×+-lowering-+.f32
2802×*-lowering-*.f32
2802×*-lowering-*.f64
1434×distribute-lft-in
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
037240
199232
2271231
3801231
42778231
08262231
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(* (* (sqrt x) (+ y (+ (/ 1/9 x) -1))) 3)
(* (sqrt x) (+ y (+ (/ 1/9 x) -1)))
(sqrt x)
x
(+ y (+ (/ 1/9 x) -1))
y
(+ (/ 1/9 x) -1)
(/ 1/9 x)
1/9
-1
3
(* 1/3 (sqrt (/ 1 x)))
1/3
(sqrt (/ 1 x))
(/ 1 x)
1
x
(* (* 3 (sqrt x)) (/ 1/9 x))
(* 3 (sqrt x))
3
(sqrt x)
x
(/ 1/9 x)
1/9
(/ (* (sqrt x) 3) (/ 1 (+ y (+ (/ 1/9 x) -1))))
(* (sqrt x) 3)
(sqrt x)
x
3
(/ 1 (+ y (+ (/ 1/9 x) -1)))
1
(+ y (+ (/ 1/9 x) -1))
y
(+ (/ 1/9 x) -1)
(/ 1/9 x)
1/9
-1
(/ 1 (/ (+ (+ (* 3 y) 3) (/ -1/3 x)) (* (- (* 9 (* y y)) (* (+ -3 (/ 1/3 x)) (+ -3 (/ 1/3 x)))) (sqrt x))))
1
(/ (+ (+ (* 3 y) 3) (/ -1/3 x)) (* (- (* 9 (* y y)) (* (+ -3 (/ 1/3 x)) (+ -3 (/ 1/3 x)))) (sqrt x)))
(+ (+ (* 3 y) 3) (/ -1/3 x))
(+ (* 3 y) 3)
(* 3 y)
3
y
(/ -1/3 x)
-1/3
x
(* (- (* 9 (* y y)) (* (+ -3 (/ 1/3 x)) (+ -3 (/ 1/3 x)))) (sqrt x))
(- (* 9 (* y y)) (* (+ -3 (/ 1/3 x)) (+ -3 (/ 1/3 x))))
(* 9 (* y y))
9
(* y y)
(* (+ -3 (/ 1/3 x)) (+ -3 (/ 1/3 x)))
(+ -3 (/ 1/3 x))
-3
(/ 1/3 x)
1/3
(sqrt x)
Outputs
(* (* (sqrt x) (+ y (+ (/ 1/9 x) -1))) 3)
(*.f64 (+.f64 y (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64))) (*.f64 (sqrt.f64 x) #s(literal 3 binary64)))
(* (sqrt x) (+ y (+ (/ 1/9 x) -1)))
(*.f64 (sqrt.f64 x) (+.f64 y (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64))))
(sqrt x)
(sqrt.f64 x)
x
(+ y (+ (/ 1/9 x) -1))
(+.f64 y (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)))
y
(+ (/ 1/9 x) -1)
(+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64))
(/ 1/9 x)
(/.f64 #s(literal 1/9 binary64) x)
1/9
#s(literal 1/9 binary64)
-1
#s(literal -1 binary64)
3
#s(literal 3 binary64)
(* 1/3 (sqrt (/ 1 x)))
(*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
1/3
#s(literal 1/3 binary64)
(sqrt (/ 1 x))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
1
#s(literal 1 binary64)
x
(* (* 3 (sqrt x)) (/ 1/9 x))
(/.f64 (*.f64 (sqrt.f64 x) #s(literal 1/3 binary64)) x)
(* 3 (sqrt x))
(*.f64 (sqrt.f64 x) #s(literal 3 binary64))
3
#s(literal 3 binary64)
(sqrt x)
(sqrt.f64 x)
x
(/ 1/9 x)
(/.f64 #s(literal 1/9 binary64) x)
1/9
#s(literal 1/9 binary64)
(/ (* (sqrt x) 3) (/ 1 (+ y (+ (/ 1/9 x) -1))))
(*.f64 (+.f64 y (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64))) (*.f64 (sqrt.f64 x) #s(literal 3 binary64)))
(* (sqrt x) 3)
(*.f64 (sqrt.f64 x) #s(literal 3 binary64))
(sqrt x)
(sqrt.f64 x)
x
3
#s(literal 3 binary64)
(/ 1 (+ y (+ (/ 1/9 x) -1)))
(/.f64 #s(literal 1 binary64) (+.f64 y (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64))))
1
#s(literal 1 binary64)
(+ y (+ (/ 1/9 x) -1))
(+.f64 y (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)))
y
(+ (/ 1/9 x) -1)
(+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64))
(/ 1/9 x)
(/.f64 #s(literal 1/9 binary64) x)
1/9
#s(literal 1/9 binary64)
-1
#s(literal -1 binary64)
(/ 1 (/ (+ (+ (* 3 y) 3) (/ -1/3 x)) (* (- (* 9 (* y y)) (* (+ -3 (/ 1/3 x)) (+ -3 (/ 1/3 x)))) (sqrt x))))
(/.f64 (sqrt.f64 x) (/.f64 (+.f64 (*.f64 y #s(literal 3 binary64)) (-.f64 #s(literal 3 binary64) (/.f64 #s(literal 1/3 binary64) x))) (+.f64 (*.f64 y (*.f64 y #s(literal 9 binary64))) (*.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)) (-.f64 #s(literal 3 binary64) (/.f64 #s(literal 1/3 binary64) x))))))
1
#s(literal 1 binary64)
(/ (+ (+ (* 3 y) 3) (/ -1/3 x)) (* (- (* 9 (* y y)) (* (+ -3 (/ 1/3 x)) (+ -3 (/ 1/3 x)))) (sqrt x)))
(/.f64 (+.f64 (*.f64 y #s(literal 3 binary64)) (-.f64 #s(literal 3 binary64) (/.f64 #s(literal 1/3 binary64) x))) (*.f64 (sqrt.f64 x) (+.f64 (*.f64 y (*.f64 y #s(literal 9 binary64))) (*.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)) (-.f64 #s(literal 3 binary64) (/.f64 #s(literal 1/3 binary64) x))))))
(+ (+ (* 3 y) 3) (/ -1/3 x))
(+.f64 (*.f64 y #s(literal 3 binary64)) (-.f64 #s(literal 3 binary64) (/.f64 #s(literal 1/3 binary64) x)))
(+ (* 3 y) 3)
(+.f64 #s(literal 3 binary64) (*.f64 y #s(literal 3 binary64)))
(* 3 y)
(*.f64 y #s(literal 3 binary64))
3
#s(literal 3 binary64)
y
(/ -1/3 x)
(/.f64 #s(literal -1/3 binary64) x)
-1/3
#s(literal -1/3 binary64)
x
(* (- (* 9 (* y y)) (* (+ -3 (/ 1/3 x)) (+ -3 (/ 1/3 x)))) (sqrt x))
(*.f64 (sqrt.f64 x) (+.f64 (*.f64 y (*.f64 y #s(literal 9 binary64))) (*.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)) (-.f64 #s(literal 3 binary64) (/.f64 #s(literal 1/3 binary64) x)))))
(- (* 9 (* y y)) (* (+ -3 (/ 1/3 x)) (+ -3 (/ 1/3 x))))
(+.f64 (*.f64 y (*.f64 y #s(literal 9 binary64))) (*.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)) (-.f64 #s(literal 3 binary64) (/.f64 #s(literal 1/3 binary64) x))))
(* 9 (* y y))
(*.f64 y (*.f64 y #s(literal 9 binary64)))
9
#s(literal 9 binary64)
(* y y)
(*.f64 y y)
(* (+ -3 (/ 1/3 x)) (+ -3 (/ 1/3 x)))
(*.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)) (-.f64 #s(literal -3 binary64) (/.f64 #s(literal -1/3 binary64) x)))
(+ -3 (/ 1/3 x))
(+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))
-3
#s(literal -3 binary64)
(/ 1/3 x)
(/.f64 #s(literal 1/3 binary64) x)
1/3
#s(literal 1/3 binary64)
(sqrt x)
(sqrt.f64 x)

localize311.0ms (2.7%)

Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
✓accuracy99.4%
(/.f64 #s(literal -1/3 binary64) x)
✓accuracy96.1%
(-.f64 (*.f64 #s(literal 9 binary64) (*.f64 y y)) (*.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))))
✓accuracy94.8%
(*.f64 (-.f64 (*.f64 #s(literal 9 binary64) (*.f64 y y)) (*.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)))) (sqrt.f64 x))
✓accuracy67.8%
(/.f64 (+.f64 (+.f64 (*.f64 #s(literal 3 binary64) y) #s(literal 3 binary64)) (/.f64 #s(literal -1/3 binary64) x)) (*.f64 (-.f64 (*.f64 #s(literal 9 binary64) (*.f64 y y)) (*.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)))) (sqrt.f64 x)))
✓accuracy99.9%
(/.f64 #s(literal 1 binary64) (+.f64 y (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64))))
✓accuracy99.6%
(/.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 y (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)))))
✓accuracy99.5%
(/.f64 #s(literal 1/9 binary64) x)
✓accuracy99.5%
(*.f64 (sqrt.f64 x) #s(literal 3 binary64))
✓accuracy100.0%
(sqrt.f64 x)
✓accuracy99.5%
(/.f64 #s(literal 1/9 binary64) x)
✓accuracy99.5%
(*.f64 #s(literal 3 binary64) (sqrt.f64 x))
✓accuracy99.5%
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1/9 binary64) x))
✓accuracy100.0%
(/.f64 #s(literal 1 binary64) x)
✓accuracy99.8%
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
✓accuracy99.4%
(*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
✓accuracy100.0%
(+.f64 y (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)))
✓accuracy99.7%
(*.f64 (sqrt.f64 x) (+.f64 y (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64))))
✓accuracy99.5%
(/.f64 #s(literal 1/9 binary64) x)
✓accuracy99.5%
(*.f64 (*.f64 (sqrt.f64 x) (+.f64 y (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)))) #s(literal 3 binary64))
Results
123.0ms209×0valid
40.0ms26×1valid
38.0ms20×2valid
18.0ms1×5exit
Compiler

Compiled 289 to 38 computations (86.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 91.0ms
ival-div: 32.0ms (35.1% of total)
ival-mult: 21.0ms (23% of total)
...c/correct-round.rkt:119:19: 14.0ms (15.3% of total)
ival-add: 8.0ms (8.8% of total)
backward-pass: 7.0ms (7.7% of total)
ival-sqrt: 5.0ms (5.5% of total)
const: 1.0ms (1.1% of total)
ival-sub: 1.0ms (1.1% of total)

series35.0ms (0.3%)

Counts
20 → 360
Calls
Call 1
Inputs
#<alt (* (* (sqrt x) (+ y (+ (/ 1/9 x) -1))) 3)>
#<alt (* (sqrt x) (+ y (+ (/ 1/9 x) -1)))>
#<alt (sqrt x)>
#<alt (+ y (+ (/ 1/9 x) -1))>
#<alt (* 1/3 (sqrt (/ 1 x)))>
#<alt (sqrt (/ 1 x))>
#<alt (/ 1 x)>
#<alt (* (* 3 (sqrt x)) (/ 1/9 x))>
#<alt (* 3 (sqrt x))>
#<alt (/ 1/9 x)>
#<alt (/ (* (sqrt x) 3) (/ 1 (+ y (+ (/ 1/9 x) -1))))>
#<alt (* (sqrt x) 3)>
#<alt (/ 1 (+ y (+ (/ 1/9 x) -1)))>
#<alt (/ 1 (/ (+ (+ (* 3 y) 3) (/ -1/3 x)) (* (- (* 9 (* y y)) (* (+ -3 (/ 1/3 x)) (+ -3 (/ 1/3 x)))) (sqrt x))))>
#<alt (/ (+ (+ (* 3 y) 3) (/ -1/3 x)) (* (- (* 9 (* y y)) (* (+ -3 (/ 1/3 x)) (+ -3 (/ 1/3 x)))) (sqrt x)))>
#<alt (+ (+ (* 3 y) 3) (/ -1/3 x))>
#<alt (+ (* 3 y) 3)>
#<alt (* (- (* 9 (* y y)) (* (+ -3 (/ 1/3 x)) (+ -3 (/ 1/3 x)))) (sqrt x))>
#<alt (- (* 9 (* y y)) (* (+ -3 (/ 1/3 x)) (+ -3 (/ 1/3 x))))>
#<alt (/ -1/3 x)>
Outputs
#<alt (* 1/3 (sqrt (/ 1 x)))>
#<alt (/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) (- y 1)))) x)>
#<alt (/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) (- y 1)))) x)>
#<alt (/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) (- y 1)))) x)>
#<alt (* 3 (* (sqrt x) (- y 1)))>
#<alt (* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) (- y 1)))))>
#<alt (* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) (- y 1)))))>
#<alt (* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) (- y 1)))))>
#<alt (* -3 (* (sqrt x) (* (pow (sqrt -1) 2) (- y 1))))>
#<alt (* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1)))))))>
#<alt (* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1)))))))>
#<alt (* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1)))))))>
#<alt (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1)))>
#<alt (+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1))))>
#<alt (+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1))))>
#<alt (+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1))))>
#<alt (* 3 (* (sqrt x) y))>
#<alt (* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))>
#<alt (* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))>
#<alt (* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))>
#<alt (* 3 (* (sqrt x) y))>
#<alt (* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))))>
#<alt (* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))))>
#<alt (* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))))>
#<alt (* 1/9 (sqrt (/ 1 x)))>
#<alt (/ (+ (* 1/9 (sqrt x)) (* (sqrt (pow x 3)) (- y 1))) x)>
#<alt (/ (+ (* 1/9 (sqrt x)) (* (sqrt (pow x 3)) (- y 1))) x)>
#<alt (/ (+ (* 1/9 (sqrt x)) (* (sqrt (pow x 3)) (- y 1))) x)>
#<alt (* (sqrt x) (- y 1))>
#<alt (* x (+ (* 1/9 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (- y 1))))>
#<alt (* x (+ (* 1/9 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (- y 1))))>
#<alt (* x (+ (* 1/9 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (- y 1))))>
#<alt (* -1 (* (sqrt x) (* (pow (sqrt -1) 2) (- y 1))))>
#<alt (* -1 (* x (+ (* 1/9 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1))))))>
#<alt (* -1 (* x (+ (* 1/9 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1))))))>
#<alt (* -1 (* x (+ (* 1/9 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1))))))>
#<alt (* (sqrt x) (- (* 1/9 (/ 1 x)) 1))>
#<alt (+ (* (sqrt x) y) (* (sqrt x) (- (* 1/9 (/ 1 x)) 1)))>
#<alt (+ (* (sqrt x) y) (* (sqrt x) (- (* 1/9 (/ 1 x)) 1)))>
#<alt (+ (* (sqrt x) y) (* (sqrt x) (- (* 1/9 (/ 1 x)) 1)))>
#<alt (* (sqrt x) y)>
#<alt (* y (+ (sqrt x) (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))>
#<alt (* y (+ (sqrt x) (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))>
#<alt (* y (+ (sqrt x) (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))>
#<alt (* (sqrt x) y)>
#<alt (* -1 (* y (+ (* -1 (sqrt x)) (* -1 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))))>
#<alt (* -1 (* y (+ (* -1 (sqrt x)) (* -1 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))))>
#<alt (* -1 (* y (+ (* -1 (sqrt x)) (* -1 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))))>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (- (* 1/9 (/ 1 x)) 1)>
#<alt (- (+ y (* 1/9 (/ 1 x))) 1)>
#<alt (- (+ y (* 1/9 (/ 1 x))) 1)>
#<alt (- (+ y (* 1/9 (/ 1 x))) 1)>
#<alt y>
#<alt (* y (- (+ 1 (/ 1/9 (* x y))) (/ 1 y)))>
#<alt (* y (- (+ 1 (/ 1/9 (* x y))) (/ 1 y)))>
#<alt (* y (- (+ 1 (/ 1/9 (* x y))) (/ 1 y)))>
#<alt y>
#<alt (* -1 (* y (- (* -1 (/ (- (* 1/9 (/ 1 x)) 1) y)) 1)))>
#<alt (* -1 (* y (- (* -1 (/ (- (* 1/9 (/ 1 x)) 1) y)) 1)))>
#<alt (* -1 (* y (- (* -1 (/ (- (* 1/9 (/ 1 x)) 1) y)) 1)))>
#<alt (/ 1/9 x)>
#<alt (/ (+ 1/9 (* x (- y 1))) x)>
#<alt (/ (+ 1/9 (* x (- y 1))) x)>
#<alt (/ (+ 1/9 (* x (- y 1))) x)>
#<alt (- y 1)>
#<alt (- (+ y (* 1/9 (/ 1 x))) 1)>
#<alt (- (+ y (* 1/9 (/ 1 x))) 1)>
#<alt (- (+ y (* 1/9 (/ 1 x))) 1)>
#<alt (- y 1)>
#<alt (- (+ y (* 1/9 (/ 1 x))) 1)>
#<alt (- (+ y (* 1/9 (/ 1 x))) 1)>
#<alt (- (+ y (* 1/9 (/ 1 x))) 1)>
#<alt (* 1/3 (sqrt (/ 1 x)))>
#<alt (* 1/3 (sqrt (/ 1 x)))>
#<alt (* 1/3 (sqrt (/ 1 x)))>
#<alt (* 1/3 (sqrt (/ 1 x)))>
#<alt (* 1/3 (sqrt (/ 1 x)))>
#<alt (* 1/3 (sqrt (/ 1 x)))>
#<alt (* 1/3 (sqrt (/ 1 x)))>
#<alt (* 1/3 (sqrt (/ 1 x)))>
#<alt (* 1/3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))>
#<alt (* 1/3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))>
#<alt (* 1/3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))>
#<alt (* 1/3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))>
#<alt (sqrt (/ 1 x))>
#<alt (sqrt (/ 1 x))>
#<alt (sqrt (/ 1 x))>
#<alt (sqrt (/ 1 x))>
#<alt (sqrt (/ 1 x))>
#<alt (sqrt (/ 1 x))>
#<alt (sqrt (/ 1 x))>
#<alt (sqrt (/ 1 x))>
#<alt (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))>
#<alt (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))>
#<alt (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))>
#<alt (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (* 1/3 (sqrt (/ 1 x)))>
#<alt (* 1/3 (sqrt (/ 1 x)))>
#<alt (* 1/3 (sqrt (/ 1 x)))>
#<alt (* 1/3 (sqrt (/ 1 x)))>
#<alt (* 1/3 (sqrt (/ 1 x)))>
#<alt (* 1/3 (sqrt (/ 1 x)))>
#<alt (* 1/3 (sqrt (/ 1 x)))>
#<alt (* 1/3 (sqrt (/ 1 x)))>
#<alt (* -1/3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))>
#<alt (* -1/3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))>
#<alt (* -1/3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))>
#<alt (* -1/3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))>
#<alt (* 3 (sqrt x))>
#<alt (* 3 (sqrt x))>
#<alt (* 3 (sqrt x))>
#<alt (* 3 (sqrt x))>
#<alt (* 3 (sqrt x))>
#<alt (* 3 (sqrt x))>
#<alt (* 3 (sqrt x))>
#<alt (* 3 (sqrt x))>
#<alt (* -3 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* -3 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* -3 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* -3 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (/ 1/9 x)>
#<alt (/ 1/9 x)>
#<alt (/ 1/9 x)>
#<alt (/ 1/9 x)>
#<alt (/ 1/9 x)>
#<alt (/ 1/9 x)>
#<alt (/ 1/9 x)>
#<alt (/ 1/9 x)>
#<alt (/ 1/9 x)>
#<alt (/ 1/9 x)>
#<alt (/ 1/9 x)>
#<alt (/ 1/9 x)>
#<alt (* 1/3 (sqrt (/ 1 x)))>
#<alt (/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) (- y 1)))) x)>
#<alt (/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) (- y 1)))) x)>
#<alt (/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) (- y 1)))) x)>
#<alt (* 3 (* (sqrt x) (- y 1)))>
#<alt (* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) (- y 1)))))>
#<alt (* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) (- y 1)))))>
#<alt (* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) (- y 1)))))>
#<alt (* -3 (* (sqrt x) (* (pow (sqrt -1) 2) (- y 1))))>
#<alt (* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1)))))))>
#<alt (* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1)))))))>
#<alt (* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1)))))))>
#<alt (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1)))>
#<alt (+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1))))>
#<alt (+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1))))>
#<alt (+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1))))>
#<alt (* 3 (* (sqrt x) y))>
#<alt (* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))>
#<alt (* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))>
#<alt (* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))>
#<alt (* 3 (* (sqrt x) y))>
#<alt (* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))))>
#<alt (* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))))>
#<alt (* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))))>
#<alt (* 3 (sqrt x))>
#<alt (* 3 (sqrt x))>
#<alt (* 3 (sqrt x))>
#<alt (* 3 (sqrt x))>
#<alt (* 3 (sqrt x))>
#<alt (* 3 (sqrt x))>
#<alt (* 3 (sqrt x))>
#<alt (* 3 (sqrt x))>
#<alt (* -3 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* -3 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* -3 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* -3 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (/ 1 (- (* 1/9 (/ 1 x)) 1))>
#<alt (+ (* -1 (/ y (pow (- (* 1/9 (/ 1 x)) 1) 2))) (/ 1 (- (* 1/9 (/ 1 x)) 1)))>
#<alt (+ (* y (- (/ y (pow (- (* 1/9 (/ 1 x)) 1) 3)) (/ 1 (pow (- (* 1/9 (/ 1 x)) 1) 2)))) (/ 1 (- (* 1/9 (/ 1 x)) 1)))>
#<alt (+ (* y (- (* y (+ (* -1 (/ y (pow (- (* 1/9 (/ 1 x)) 1) 4))) (/ 1 (pow (- (* 1/9 (/ 1 x)) 1) 3)))) (/ 1 (pow (- (* 1/9 (/ 1 x)) 1) 2)))) (/ 1 (- (* 1/9 (/ 1 x)) 1)))>
#<alt (/ 1 y)>
#<alt (/ (- (+ 1 (/ 1 y)) (/ 1/9 (* x y))) y)>
#<alt (/ (- (+ 1 (+ (* -1 (/ (* (- 1 (* 1/9 (/ 1 x))) (- (* 1/9 (/ 1 x)) 1)) (pow y 2))) (/ 1 y))) (/ 1/9 (* x y))) y)>
#<alt (/ (- (+ 1 (+ (/ 1 y) (/ (* (- 1 (* 1/9 (/ 1 x))) (pow (- (* 1/9 (/ 1 x)) 1) 2)) (pow y 3)))) (+ (/ 1/9 (* x y)) (/ (* (- 1 (* 1/9 (/ 1 x))) (- (* 1/9 (/ 1 x)) 1)) (pow y 2)))) y)>
#<alt (/ 1 y)>
#<alt (* -1 (/ (- (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) 1) y))>
#<alt (* -1 (/ (- (* -1 (/ (- (+ 1 (* -1 (/ (* (- 1 (* 1/9 (/ 1 x))) (- (* 1/9 (/ 1 x)) 1)) y))) (* 1/9 (/ 1 x))) y)) 1) y))>
#<alt (* -1 (/ (- (* -1 (/ (- (+ 1 (* -1 (/ (- (* -1 (/ (* (- 1 (* 1/9 (/ 1 x))) (pow (- (* 1/9 (/ 1 x)) 1) 2)) y)) (* -1 (* (- 1 (* 1/9 (/ 1 x))) (- (* 1/9 (/ 1 x)) 1)))) y))) (* 1/9 (/ 1 x))) y)) 1) y))>
#<alt (* 9 x)>
#<alt (* x (+ 9 (* -81 (* x (- y 1)))))>
#<alt (* x (+ 9 (* x (- (* 729 (* x (pow (- y 1) 2))) (* 81 (- y 1))))))>
#<alt (* x (+ 9 (* x (- (* x (- (* -6561 (* x (pow (- y 1) 3))) (* -729 (pow (- y 1) 2)))) (* 81 (- y 1))))))>
#<alt (/ 1 (- y 1))>
#<alt (- (/ 1 (- y 1)) (* 1/9 (/ 1 (* x (pow (- y 1) 2)))))>
#<alt (- (+ (/ 1/81 (* (pow x 2) (pow (- y 1) 3))) (/ 1 (- y 1))) (/ 1/9 (* x (pow (- y 1) 2))))>
#<alt (- (+ (* 1/81 (/ 1 (* (pow x 2) (pow (- y 1) 3)))) (/ 1 (- y 1))) (+ (/ 1/9 (* x (pow (- y 1) 2))) (* 1/729 (/ 1 (* (pow x 3) (pow (- y 1) 4))))))>
#<alt (/ 1 (- y 1))>
#<alt (- (/ 1 (- y 1)) (* 1/9 (/ 1 (* x (pow (- y 1) 2)))))>
#<alt (+ (* -1 (/ (- (* 1/9 (/ 1 (pow (- y 1) 2))) (* 1/81 (/ 1 (* x (pow (- y 1) 3))))) x)) (/ 1 (- y 1)))>
#<alt (+ (* -1 (/ (+ (* -1 (/ (- (* 1/81 (/ 1 (pow (- y 1) 3))) (* 1/729 (/ 1 (* x (pow (- y 1) 4))))) x)) (* 1/9 (/ 1 (pow (- y 1) 2)))) x)) (/ 1 (- y 1)))>
#<alt (* -1 (* (sqrt x) (/ (pow (- (* 1/3 (/ 1 x)) 3) 2) (- 3 (* 1/3 (/ 1 x))))))>
#<alt (+ (* -1 (* (sqrt x) (/ (pow (- (* 1/3 (/ 1 x)) 3) 2) (- 3 (* 1/3 (/ 1 x)))))) (* 3 (* (sqrt x) (/ (* y (pow (- (* 1/3 (/ 1 x)) 3) 2)) (pow (- 3 (* 1/3 (/ 1 x))) 2)))))>
#<alt (+ (* -1 (* (sqrt x) (/ (pow (- (* 1/3 (/ 1 x)) 3) 2) (- 3 (* 1/3 (/ 1 x)))))) (* y (+ (* 3 (* (sqrt x) (/ (pow (- (* 1/3 (/ 1 x)) 3) 2) (pow (- 3 (* 1/3 (/ 1 x))) 2)))) (* (sqrt x) (* y (- (* 9 (/ 1 (- 3 (* 1/3 (/ 1 x))))) (* 9 (/ (pow (- (* 1/3 (/ 1 x)) 3) 2) (pow (- 3 (* 1/3 (/ 1 x))) 3)))))))))>
#<alt (+ (* -1 (* (sqrt x) (/ (pow (- (* 1/3 (/ 1 x)) 3) 2) (- 3 (* 1/3 (/ 1 x)))))) (* y (+ (* 3 (* (sqrt x) (/ (pow (- (* 1/3 (/ 1 x)) 3) 2) (pow (- 3 (* 1/3 (/ 1 x))) 2)))) (* y (+ (* -3 (* (sqrt x) (/ (* y (- (* 9 (/ 1 (- 3 (* 1/3 (/ 1 x))))) (* 9 (/ (pow (- (* 1/3 (/ 1 x)) 3) 2) (pow (- 3 (* 1/3 (/ 1 x))) 3))))) (- 3 (* 1/3 (/ 1 x)))))) (* (sqrt x) (- (* 9 (/ 1 (- 3 (* 1/3 (/ 1 x))))) (* 9 (/ (pow (- (* 1/3 (/ 1 x)) 3) 2) (pow (- 3 (* 1/3 (/ 1 x))) 3))))))))))>
#<alt (* 3 (* (sqrt x) y))>
#<alt (* y (+ (* 3 (sqrt x)) (* (sqrt x) (/ (- (* 1/3 (/ 1 x)) 3) y))))>
#<alt (* y (+ (* 3 (sqrt x)) (+ (* (sqrt x) (/ (- (* -1/3 (pow (- (* 1/3 (/ 1 x)) 3) 2)) (* 1/3 (* (- 3 (* 1/3 (/ 1 x))) (- (* 1/3 (/ 1 x)) 3)))) (pow y 2))) (* (sqrt x) (/ (- (* 1/3 (/ 1 x)) 3) y)))))>
#<alt (* y (+ (* -1/3 (* (sqrt x) (/ (* (- 3 (* 1/3 (/ 1 x))) (- (* -1/3 (pow (- (* 1/3 (/ 1 x)) 3) 2)) (* 1/3 (* (- 3 (* 1/3 (/ 1 x))) (- (* 1/3 (/ 1 x)) 3))))) (pow y 3)))) (+ (* 3 (sqrt x)) (+ (* (sqrt x) (/ (- (* -1/3 (pow (- (* 1/3 (/ 1 x)) 3) 2)) (* 1/3 (* (- 3 (* 1/3 (/ 1 x))) (- (* 1/3 (/ 1 x)) 3)))) (pow y 2))) (* (sqrt x) (/ (- (* 1/3 (/ 1 x)) 3) y))))))>
#<alt (* 3 (* (sqrt x) y))>
#<alt (* -1 (* y (+ (* -3 (sqrt x)) (* -1 (* (sqrt x) (/ (- (* 1/3 (/ 1 x)) 3) y))))))>
#<alt (* -1 (* y (+ (* -3 (sqrt x)) (* -1 (/ (+ (* -1 (* (sqrt x) (/ (- (* 1/3 (pow (- (* 1/3 (/ 1 x)) 3) 2)) (* -1/3 (* (- 3 (* 1/3 (/ 1 x))) (- (* 1/3 (/ 1 x)) 3)))) y))) (* (sqrt x) (- (* 1/3 (/ 1 x)) 3))) y)))))>
#<alt (* -1 (* y (+ (* -3 (sqrt x)) (* -1 (/ (+ (* -1 (/ (+ (* -1/3 (* (sqrt x) (/ (* (- 3 (* 1/3 (/ 1 x))) (- (* 1/3 (pow (- (* 1/3 (/ 1 x)) 3) 2)) (* -1/3 (* (- 3 (* 1/3 (/ 1 x))) (- (* 1/3 (/ 1 x)) 3))))) y))) (* (sqrt x) (- (* 1/3 (pow (- (* 1/3 (/ 1 x)) 3) 2)) (* -1/3 (* (- 3 (* 1/3 (/ 1 x))) (- (* 1/3 (/ 1 x)) 3)))))) y)) (* (sqrt x) (- (* 1/3 (/ 1 x)) 3))) y)))))>
#<alt (* 1/3 (sqrt (/ 1 x)))>
#<alt (/ (+ (* -1 (* (sqrt (pow x 3)) (+ 6 (* -1 (+ 3 (* 3 y)))))) (* 1/3 (sqrt x))) x)>
#<alt (/ (+ (* 1/3 (sqrt x)) (* x (+ (* -1 (* (sqrt x) (+ 6 (* -1 (+ 3 (* 3 y)))))) (* (sqrt (pow x 3)) (- (* -3 (- (* 9 (pow y 2)) 9)) (* 3 (* (+ 3 (* 3 y)) (+ 6 (* -1 (+ 3 (* 3 y))))))))))) x)>
#<alt (/ (+ (* 1/3 (sqrt x)) (* x (+ (* -1 (* (sqrt x) (+ 6 (* -1 (+ 3 (* 3 y)))))) (* x (+ (* 3 (* (sqrt (pow x 3)) (* (+ 3 (* 3 y)) (- (* -3 (- (* 9 (pow y 2)) 9)) (* 3 (* (+ 3 (* 3 y)) (+ 6 (* -1 (+ 3 (* 3 y)))))))))) (* (sqrt x) (- (* -3 (- (* 9 (pow y 2)) 9)) (* 3 (* (+ 3 (* 3 y)) (+ 6 (* -1 (+ 3 (* 3 y))))))))))))) x)>
#<alt (* (sqrt x) (/ (- (* 9 (pow y 2)) 9) (+ 3 (* 3 y))))>
#<alt (* x (+ (* (sqrt (/ 1 x)) (/ (- (* 9 (pow y 2)) 9) (+ 3 (* 3 y)))) (* (sqrt (/ 1 (pow x 3))) (- (* 2 (/ 1 (+ 3 (* 3 y)))) (* -1/3 (/ (- (* 9 (pow y 2)) 9) (pow (+ 3 (* 3 y)) 2)))))))>
#<alt (* x (+ (* -1 (* (sqrt (/ 1 (pow x 5))) (+ (* -1/3 (/ (- (* 2 (/ 1 (+ 3 (* 3 y)))) (* -1/3 (/ (- (* 9 (pow y 2)) 9) (pow (+ 3 (* 3 y)) 2)))) (+ 3 (* 3 y)))) (* 1/9 (/ 1 (+ 3 (* 3 y))))))) (+ (* (sqrt (/ 1 x)) (/ (- (* 9 (pow y 2)) 9) (+ 3 (* 3 y)))) (* (sqrt (/ 1 (pow x 3))) (- (* 2 (/ 1 (+ 3 (* 3 y)))) (* -1/3 (/ (- (* 9 (pow y 2)) 9) (pow (+ 3 (* 3 y)) 2))))))))>
#<alt (* x (+ (* -1 (* (sqrt (/ 1 (pow x 5))) (+ (* -1/3 (/ (- (* 2 (/ 1 (+ 3 (* 3 y)))) (* -1/3 (/ (- (* 9 (pow y 2)) 9) (pow (+ 3 (* 3 y)) 2)))) (+ 3 (* 3 y)))) (* 1/9 (/ 1 (+ 3 (* 3 y))))))) (+ (* -1/3 (* (sqrt (/ 1 (pow x 7))) (/ (+ (* -1/3 (/ (- (* 2 (/ 1 (+ 3 (* 3 y)))) (* -1/3 (/ (- (* 9 (pow y 2)) 9) (pow (+ 3 (* 3 y)) 2)))) (+ 3 (* 3 y)))) (* 1/9 (/ 1 (+ 3 (* 3 y))))) (+ 3 (* 3 y))))) (+ (* (sqrt (/ 1 x)) (/ (- (* 9 (pow y 2)) 9) (+ 3 (* 3 y)))) (* (sqrt (/ 1 (pow x 3))) (- (* 2 (/ 1 (+ 3 (* 3 y)))) (* -1/3 (/ (- (* 9 (pow y 2)) 9) (pow (+ 3 (* 3 y)) 2)))))))))>
#<alt (* -1 (* (sqrt x) (/ (* (pow (sqrt -1) 2) (- (* 9 (pow y 2)) 9)) (+ 3 (* 3 y)))))>
#<alt (* -1 (* x (+ (* -1 (* (sqrt (/ 1 (pow x 3))) (* (sqrt -1) (- (* -2 (/ (sqrt -1) (+ 3 (* 3 y)))) (* 1/3 (/ (* (sqrt -1) (- (* 9 (pow y 2)) 9)) (pow (+ 3 (* 3 y)) 2))))))) (* (sqrt (/ 1 x)) (/ (* (pow (sqrt -1) 2) (- (* 9 (pow y 2)) 9)) (+ 3 (* 3 y)))))))>
#<alt (* -1 (* x (+ (* -1 (/ (+ (* -1 (* (sqrt (/ 1 (pow x 3))) (* (sqrt -1) (- (* -1/9 (/ (sqrt -1) (+ 3 (* 3 y)))) (* 1/3 (/ (- (* -2 (/ (sqrt -1) (+ 3 (* 3 y)))) (* 1/3 (/ (* (sqrt -1) (- (* 9 (pow y 2)) 9)) (pow (+ 3 (* 3 y)) 2)))) (+ 3 (* 3 y)))))))) (* (sqrt (/ 1 x)) (* (sqrt -1) (- (* -2 (/ (sqrt -1) (+ 3 (* 3 y)))) (* 1/3 (/ (* (sqrt -1) (- (* 9 (pow y 2)) 9)) (pow (+ 3 (* 3 y)) 2))))))) x)) (* (sqrt (/ 1 x)) (/ (* (pow (sqrt -1) 2) (- (* 9 (pow y 2)) 9)) (+ 3 (* 3 y)))))))>
#<alt (* -1 (* x (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (/ (* (sqrt -1) (- (* -1/9 (/ (sqrt -1) (+ 3 (* 3 y)))) (* 1/3 (/ (- (* -2 (/ (sqrt -1) (+ 3 (* 3 y)))) (* 1/3 (/ (* (sqrt -1) (- (* 9 (pow y 2)) 9)) (pow (+ 3 (* 3 y)) 2)))) (+ 3 (* 3 y)))))) (+ 3 (* 3 y))))) (* (sqrt (/ 1 x)) (* (sqrt -1) (- (* -1/9 (/ (sqrt -1) (+ 3 (* 3 y)))) (* 1/3 (/ (- (* -2 (/ (sqrt -1) (+ 3 (* 3 y)))) (* 1/3 (/ (* (sqrt -1) (- (* 9 (pow y 2)) 9)) (pow (+ 3 (* 3 y)) 2)))) (+ 3 (* 3 y)))))))) x)) (* (sqrt (/ 1 x)) (* (sqrt -1) (- (* -2 (/ (sqrt -1) (+ 3 (* 3 y)))) (* 1/3 (/ (* (sqrt -1) (- (* 9 (pow y 2)) 9)) (pow (+ 3 (* 3 y)) 2))))))) x)) (* (sqrt (/ 1 x)) (/ (* (pow (sqrt -1) 2) (- (* 9 (pow y 2)) 9)) (+ 3 (* 3 y)))))))>
#<alt (* -1 (* (sqrt (/ 1 x)) (/ (- 3 (* 1/3 (/ 1 x))) (pow (- (* 1/3 (/ 1 x)) 3) 2))))>
#<alt (+ (* -3 (* (sqrt (/ 1 x)) (/ y (pow (- (* 1/3 (/ 1 x)) 3) 2)))) (* -1 (* (sqrt (/ 1 x)) (/ (- 3 (* 1/3 (/ 1 x))) (pow (- (* 1/3 (/ 1 x)) 3) 2)))))>
#<alt (+ (* -1 (* (sqrt (/ 1 x)) (/ (- 3 (* 1/3 (/ 1 x))) (pow (- (* 1/3 (/ 1 x)) 3) 2)))) (* y (+ (* -9 (* (sqrt (/ 1 x)) (/ (* y (- 3 (* 1/3 (/ 1 x)))) (pow (- (* 1/3 (/ 1 x)) 3) 4)))) (* -3 (* (sqrt (/ 1 x)) (/ 1 (pow (- (* 1/3 (/ 1 x)) 3) 2)))))))>
#<alt (+ (* -1 (* (sqrt (/ 1 x)) (/ (- 3 (* 1/3 (/ 1 x))) (pow (- (* 1/3 (/ 1 x)) 3) 2)))) (* y (+ (* -3 (* (sqrt (/ 1 x)) (/ 1 (pow (- (* 1/3 (/ 1 x)) 3) 2)))) (* y (+ (* -27 (* (sqrt (/ 1 x)) (/ y (pow (- (* 1/3 (/ 1 x)) 3) 4)))) (* -9 (* (sqrt (/ 1 x)) (/ (- 3 (* 1/3 (/ 1 x))) (pow (- (* 1/3 (/ 1 x)) 3) 4)))))))))>
#<alt (* 1/3 (* (sqrt (/ 1 x)) (/ 1 y)))>
#<alt (/ (+ (* 1/9 (* (sqrt (/ 1 x)) (/ (- 3 (* 1/3 (/ 1 x))) y))) (* 1/3 (sqrt (/ 1 x)))) y)>
#<alt (/ (+ (* 1/27 (* (sqrt (/ 1 x)) (/ (pow (- (* 1/3 (/ 1 x)) 3) 2) (pow y 2)))) (+ (* 1/9 (* (sqrt (/ 1 x)) (/ (- 3 (* 1/3 (/ 1 x))) y))) (* 1/3 (sqrt (/ 1 x))))) y)>
#<alt (/ (+ (* 1/81 (* (sqrt (/ 1 x)) (/ (* (- 3 (* 1/3 (/ 1 x))) (pow (- (* 1/3 (/ 1 x)) 3) 2)) (pow y 3)))) (+ (* 1/27 (* (sqrt (/ 1 x)) (/ (pow (- (* 1/3 (/ 1 x)) 3) 2) (pow y 2)))) (+ (* 1/9 (* (sqrt (/ 1 x)) (/ (- 3 (* 1/3 (/ 1 x))) y))) (* 1/3 (sqrt (/ 1 x)))))) y)>
#<alt (* 1/3 (* (sqrt (/ 1 x)) (/ 1 y)))>
#<alt (* -1 (/ (+ (* -1/3 (sqrt (/ 1 x))) (* -1/9 (* (sqrt (/ 1 x)) (/ (- 3 (* 1/3 (/ 1 x))) y)))) y))>
#<alt (* -1 (/ (+ (* -1 (/ (+ (* 1/27 (* (sqrt (/ 1 x)) (/ (pow (- (* 1/3 (/ 1 x)) 3) 2) y))) (* 1/9 (* (sqrt (/ 1 x)) (- 3 (* 1/3 (/ 1 x)))))) y)) (* -1/3 (sqrt (/ 1 x)))) y))>
#<alt (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/27 (* (sqrt (/ 1 x)) (pow (- (* 1/3 (/ 1 x)) 3) 2))) (* -1/81 (* (sqrt (/ 1 x)) (/ (* (- 3 (* 1/3 (/ 1 x))) (pow (- (* 1/3 (/ 1 x)) 3) 2)) y)))) y)) (* 1/9 (* (sqrt (/ 1 x)) (- 3 (* 1/3 (/ 1 x)))))) y)) (* -1/3 (sqrt (/ 1 x)))) y))>
#<alt (* 3 (sqrt x))>
#<alt (+ (* 3 (sqrt x)) (* (sqrt (pow x 3)) (+ 54 (* -9 (+ 3 (* 3 y))))))>
#<alt (+ (* 3 (sqrt x)) (* x (+ (* -1 (* (sqrt (pow x 3)) (+ (* -27 (- (* 9 (pow y 2)) 9)) (* -18 (+ 54 (* -9 (+ 3 (* 3 y)))))))) (* (sqrt x) (+ 54 (* -9 (+ 3 (* 3 y))))))))>
#<alt (+ (* 3 (sqrt x)) (* x (+ (* x (+ (* -1 (* (sqrt x) (+ (* -27 (- (* 9 (pow y 2)) 9)) (* -18 (+ 54 (* -9 (+ 3 (* 3 y)))))))) (* -1 (* (sqrt (pow x 3)) (+ (* -9 (* (+ 54 (* -9 (+ 3 (* 3 y)))) (- (* 9 (pow y 2)) 9))) (* 18 (+ (* -27 (- (* 9 (pow y 2)) 9)) (* -18 (+ 54 (* -9 (+ 3 (* 3 y)))))))))))) (* (sqrt x) (+ 54 (* -9 (+ 3 (* 3 y))))))))>
#<alt (* (sqrt (/ 1 x)) (/ (+ 3 (* 3 y)) (- (* 9 (pow y 2)) 9)))>
#<alt (+ (* -1 (* (sqrt (/ 1 (pow x 3))) (+ (* 2 (/ (+ 3 (* 3 y)) (pow (- (* 9 (pow y 2)) 9) 2))) (* 1/3 (/ 1 (- (* 9 (pow y 2)) 9)))))) (* (sqrt (/ 1 x)) (/ (+ 3 (* 3 y)) (- (* 9 (pow y 2)) 9))))>
#<alt (+ (* -1 (* (sqrt (/ 1 (pow x 3))) (+ (* 2 (/ (+ 3 (* 3 y)) (pow (- (* 9 (pow y 2)) 9) 2))) (* 1/3 (/ 1 (- (* 9 (pow y 2)) 9)))))) (+ (* -1 (* (sqrt (/ 1 (pow x 5))) (+ (* -2 (/ (+ (* 2 (/ (+ 3 (* 3 y)) (pow (- (* 9 (pow y 2)) 9) 2))) (* 1/3 (/ 1 (- (* 9 (pow y 2)) 9)))) (- (* 9 (pow y 2)) 9))) (* -1/9 (/ (+ 3 (* 3 y)) (pow (- (* 9 (pow y 2)) 9) 2)))))) (* (sqrt (/ 1 x)) (/ (+ 3 (* 3 y)) (- (* 9 (pow y 2)) 9)))))>
#<alt (+ (* -1 (* (sqrt (/ 1 (pow x 3))) (+ (* 2 (/ (+ 3 (* 3 y)) (pow (- (* 9 (pow y 2)) 9) 2))) (* 1/3 (/ 1 (- (* 9 (pow y 2)) 9)))))) (+ (* -1 (* (sqrt (/ 1 (pow x 5))) (+ (* -2 (/ (+ (* 2 (/ (+ 3 (* 3 y)) (pow (- (* 9 (pow y 2)) 9) 2))) (* 1/3 (/ 1 (- (* 9 (pow y 2)) 9)))) (- (* 9 (pow y 2)) 9))) (* -1/9 (/ (+ 3 (* 3 y)) (pow (- (* 9 (pow y 2)) 9) 2)))))) (+ (* -1 (* (sqrt (/ 1 (pow x 7))) (+ (* -2 (/ (+ (* -2 (/ (+ (* 2 (/ (+ 3 (* 3 y)) (pow (- (* 9 (pow y 2)) 9) 2))) (* 1/3 (/ 1 (- (* 9 (pow y 2)) 9)))) (- (* 9 (pow y 2)) 9))) (* -1/9 (/ (+ 3 (* 3 y)) (pow (- (* 9 (pow y 2)) 9) 2)))) (- (* 9 (pow y 2)) 9))) (* 1/9 (/ (+ (* 2 (/ (+ 3 (* 3 y)) (pow (- (* 9 (pow y 2)) 9) 2))) (* 1/3 (/ 1 (- (* 9 (pow y 2)) 9)))) (- (* 9 (pow y 2)) 9)))))) (* (sqrt (/ 1 x)) (/ (+ 3 (* 3 y)) (- (* 9 (pow y 2)) 9))))))>
#<alt (* (sqrt (/ 1 x)) (/ (+ 3 (* 3 y)) (- (* 9 (pow y 2)) 9)))>
#<alt (+ (* -1 (* (sqrt (/ 1 (pow x 3))) (* (sqrt -1) (- (* 1/3 (/ 1 (* (sqrt -1) (- (* 9 (pow y 2)) 9)))) (* -2 (/ (+ 3 (* 3 y)) (* (sqrt -1) (pow (- (* 9 (pow y 2)) 9) 2)))))))) (* (sqrt (/ 1 x)) (/ (+ 3 (* 3 y)) (- (* 9 (pow y 2)) 9))))>
#<alt (+ (* -1 (/ (+ (* (sqrt (/ 1 x)) (* (sqrt -1) (- (* 1/3 (/ 1 (* (sqrt -1) (- (* 9 (pow y 2)) 9)))) (* -2 (/ (+ 3 (* 3 y)) (* (sqrt -1) (pow (- (* 9 (pow y 2)) 9) 2))))))) (* (sqrt (/ 1 (pow x 3))) (* (sqrt -1) (+ (* -2 (/ (- (* 1/3 (/ 1 (* (sqrt -1) (- (* 9 (pow y 2)) 9)))) (* -2 (/ (+ 3 (* 3 y)) (* (sqrt -1) (pow (- (* 9 (pow y 2)) 9) 2))))) (- (* 9 (pow y 2)) 9))) (* -1/9 (/ (+ 3 (* 3 y)) (* (sqrt -1) (pow (- (* 9 (pow y 2)) 9) 2)))))))) x)) (* (sqrt (/ 1 x)) (/ (+ 3 (* 3 y)) (- (* 9 (pow y 2)) 9))))>
#<alt (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (* (sqrt (/ 1 x)) (* (sqrt -1) (+ (* -2 (/ (- (* 1/3 (/ 1 (* (sqrt -1) (- (* 9 (pow y 2)) 9)))) (* -2 (/ (+ 3 (* 3 y)) (* (sqrt -1) (pow (- (* 9 (pow y 2)) 9) 2))))) (- (* 9 (pow y 2)) 9))) (* -1/9 (/ (+ 3 (* 3 y)) (* (sqrt -1) (pow (- (* 9 (pow y 2)) 9) 2)))))))) (* (sqrt (/ 1 (pow x 3))) (* (sqrt -1) (+ (* -1/9 (/ (- (* 1/3 (/ 1 (* (sqrt -1) (- (* 9 (pow y 2)) 9)))) (* -2 (/ (+ 3 (* 3 y)) (* (sqrt -1) (pow (- (* 9 (pow y 2)) 9) 2))))) (- (* 9 (pow y 2)) 9))) (* 2 (/ (+ (* -2 (/ (- (* 1/3 (/ 1 (* (sqrt -1) (- (* 9 (pow y 2)) 9)))) (* -2 (/ (+ 3 (* 3 y)) (* (sqrt -1) (pow (- (* 9 (pow y 2)) 9) 2))))) (- (* 9 (pow y 2)) 9))) (* -1/9 (/ (+ 3 (* 3 y)) (* (sqrt -1) (pow (- (* 9 (pow y 2)) 9) 2))))) (- (* 9 (pow y 2)) 9))))))) x)) (* (sqrt (/ 1 x)) (* (sqrt -1) (- (* 1/3 (/ 1 (* (sqrt -1) (- (* 9 (pow y 2)) 9)))) (* -2 (/ (+ 3 (* 3 y)) (* (sqrt -1) (pow (- (* 9 (pow y 2)) 9) 2)))))))) x)) (* (sqrt (/ 1 x)) (/ (+ 3 (* 3 y)) (- (* 9 (pow y 2)) 9))))>
#<alt (- 3 (* 1/3 (/ 1 x)))>
#<alt (- (+ 3 (* 3 y)) (* 1/3 (/ 1 x)))>
#<alt (- (+ 3 (* 3 y)) (* 1/3 (/ 1 x)))>
#<alt (- (+ 3 (* 3 y)) (* 1/3 (/ 1 x)))>
#<alt (* 3 y)>
#<alt (* y (- (+ 3 (* 3 (/ 1 y))) (/ 1/3 (* x y))))>
#<alt (* y (- (+ 3 (* 3 (/ 1 y))) (/ 1/3 (* x y))))>
#<alt (* y (- (+ 3 (* 3 (/ 1 y))) (/ 1/3 (* x y))))>
#<alt (* 3 y)>
#<alt (* -1 (* y (- (* -1 (/ (- 3 (* 1/3 (/ 1 x))) y)) 3)))>
#<alt (* -1 (* y (- (* -1 (/ (- 3 (* 1/3 (/ 1 x))) y)) 3)))>
#<alt (* -1 (* y (- (* -1 (/ (- 3 (* 1/3 (/ 1 x))) y)) 3)))>
#<alt (/ -1/3 x)>
#<alt (/ (- (* x (+ 3 (* 3 y))) 1/3) x)>
#<alt (/ (- (* x (+ 3 (* 3 y))) 1/3) x)>
#<alt (/ (- (* x (+ 3 (* 3 y))) 1/3) x)>
#<alt (+ 3 (* 3 y))>
#<alt (- (+ 3 (* 3 y)) (* 1/3 (/ 1 x)))>
#<alt (- (+ 3 (* 3 y)) (* 1/3 (/ 1 x)))>
#<alt (- (+ 3 (* 3 y)) (* 1/3 (/ 1 x)))>
#<alt (+ 3 (* 3 y))>
#<alt (- (+ 3 (* 3 y)) (* 1/3 (/ 1 x)))>
#<alt (- (+ 3 (* 3 y)) (* 1/3 (/ 1 x)))>
#<alt (- (+ 3 (* 3 y)) (* 1/3 (/ 1 x)))>
#<alt 3>
#<alt (+ 3 (* 3 y))>
#<alt (+ 3 (* 3 y))>
#<alt (+ 3 (* 3 y))>
#<alt (* 3 y)>
#<alt (* y (+ 3 (* 3 (/ 1 y))))>
#<alt (* y (+ 3 (* 3 (/ 1 y))))>
#<alt (* y (+ 3 (* 3 (/ 1 y))))>
#<alt (* 3 y)>
#<alt (* y (+ 3 (* 3 (/ 1 y))))>
#<alt (* y (+ 3 (* 3 (/ 1 y))))>
#<alt (* y (+ 3 (* 3 (/ 1 y))))>
#<alt (* -1 (* (sqrt x) (pow (- (* 1/3 (/ 1 x)) 3) 2)))>
#<alt (+ (* -1 (* (sqrt x) (pow (- (* 1/3 (/ 1 x)) 3) 2))) (* 9 (* (sqrt x) (pow y 2))))>
#<alt (+ (* -1 (* (sqrt x) (pow (- (* 1/3 (/ 1 x)) 3) 2))) (* 9 (* (sqrt x) (pow y 2))))>
#<alt (+ (* -1 (* (sqrt x) (pow (- (* 1/3 (/ 1 x)) 3) 2))) (* 9 (* (sqrt x) (pow y 2))))>
#<alt (* 9 (* (sqrt x) (pow y 2)))>
#<alt (* (pow y 2) (+ (* -1 (* (sqrt x) (/ (pow (- (* 1/3 (/ 1 x)) 3) 2) (pow y 2)))) (* 9 (sqrt x))))>
#<alt (* (pow y 2) (+ (* -1 (* (sqrt x) (/ (pow (- (* 1/3 (/ 1 x)) 3) 2) (pow y 2)))) (* 9 (sqrt x))))>
#<alt (* (pow y 2) (+ (* -1 (* (sqrt x) (/ (pow (- (* 1/3 (/ 1 x)) 3) 2) (pow y 2)))) (* 9 (sqrt x))))>
#<alt (* 9 (* (sqrt x) (pow y 2)))>
#<alt (* (pow y 2) (+ (* -1 (* (sqrt x) (/ (pow (- (* 1/3 (/ 1 x)) 3) 2) (pow y 2)))) (* 9 (sqrt x))))>
#<alt (* (pow y 2) (+ (* -1 (* (sqrt x) (/ (pow (- (* 1/3 (/ 1 x)) 3) 2) (pow y 2)))) (* 9 (sqrt x))))>
#<alt (* (pow y 2) (+ (* -1 (* (sqrt x) (/ (pow (- (* 1/3 (/ 1 x)) 3) 2) (pow y 2)))) (* 9 (sqrt x))))>
#<alt (* -1/9 (sqrt (/ 1 (pow x 3))))>
#<alt (/ (+ (* -1/9 (sqrt x)) (* 2 (sqrt (pow x 3)))) (pow x 2))>
#<alt (/ (+ (* -1/9 (sqrt x)) (* x (+ (* 2 (sqrt x)) (* (sqrt (pow x 3)) (- (* 9 (pow y 2)) 9))))) (pow x 2))>
#<alt (/ (+ (* -1/9 (sqrt x)) (* x (+ (* 2 (sqrt x)) (* (sqrt (pow x 3)) (- (* 9 (pow y 2)) 9))))) (pow x 2))>
#<alt (* (sqrt x) (- (* 9 (pow y 2)) 9))>
#<alt (* x (+ (* 2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (- (* 9 (pow y 2)) 9))))>
#<alt (* x (+ (* -1/9 (sqrt (/ 1 (pow x 5)))) (+ (* 2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (- (* 9 (pow y 2)) 9)))))>
#<alt (* x (+ (* -1/9 (sqrt (/ 1 (pow x 5)))) (+ (* 2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (- (* 9 (pow y 2)) 9)))))>
#<alt (* -1 (* (sqrt x) (* (pow (sqrt -1) 2) (- (* 9 (pow y 2)) 9))))>
#<alt (* -1 (* x (+ (* 2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- (* 9 (pow y 2)) 9))))))>
#<alt (* -1 (* x (+ (* -1 (/ (+ (* -2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/9 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))) x)) (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- (* 9 (pow y 2)) 9))))))>
#<alt (* -1 (* x (+ (* -1 (/ (+ (* -2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/9 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))) x)) (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- (* 9 (pow y 2)) 9))))))>
#<alt (* -1 (pow (- (* 1/3 (/ 1 x)) 3) 2))>
#<alt (- (* 9 (pow y 2)) (pow (- (* 1/3 (/ 1 x)) 3) 2))>
#<alt (- (* 9 (pow y 2)) (pow (- (* 1/3 (/ 1 x)) 3) 2))>
#<alt (- (* 9 (pow y 2)) (pow (- (* 1/3 (/ 1 x)) 3) 2))>
#<alt (* 9 (pow y 2))>
#<alt (* (pow y 2) (+ 9 (* -1 (/ (pow (- (* 1/3 (/ 1 x)) 3) 2) (pow y 2)))))>
#<alt (* (pow y 2) (+ 9 (* -1 (/ (pow (- (* 1/3 (/ 1 x)) 3) 2) (pow y 2)))))>
#<alt (* (pow y 2) (+ 9 (* -1 (/ (pow (- (* 1/3 (/ 1 x)) 3) 2) (pow y 2)))))>
#<alt (* 9 (pow y 2))>
#<alt (* (pow y 2) (+ 9 (* -1 (/ (pow (- (* 1/3 (/ 1 x)) 3) 2) (pow y 2)))))>
#<alt (* (pow y 2) (+ 9 (* -1 (/ (pow (- (* 1/3 (/ 1 x)) 3) 2) (pow y 2)))))>
#<alt (* (pow y 2) (+ 9 (* -1 (/ (pow (- (* 1/3 (/ 1 x)) 3) 2) (pow y 2)))))>
#<alt (/ -1/9 (pow x 2))>
#<alt (/ (- (* 2 x) 1/9) (pow x 2))>
#<alt (/ (- (* x (+ 2 (* x (- (* 9 (pow y 2)) 9)))) 1/9) (pow x 2))>
#<alt (/ (- (* x (+ 2 (* x (- (* 9 (pow y 2)) 9)))) 1/9) (pow x 2))>
#<alt (- (* 9 (pow y 2)) 9)>
#<alt (- (+ (* 9 (pow y 2)) (* 2 (/ 1 x))) 9)>
#<alt (- (+ (* 9 (pow y 2)) (* 2 (/ 1 x))) (+ 9 (/ 1/9 (pow x 2))))>
#<alt (- (+ (* 9 (pow y 2)) (* 2 (/ 1 x))) (+ 9 (/ 1/9 (pow x 2))))>
#<alt (- (* 9 (pow y 2)) 9)>
#<alt (- (+ (* 9 (pow y 2)) (* 2 (/ 1 x))) 9)>
#<alt (- (+ (* -1 (/ (- (* 1/9 (/ 1 x)) 2) x)) (* 9 (pow y 2))) 9)>
#<alt (- (+ (* -1 (/ (- (* 1/9 (/ 1 x)) 2) x)) (* 9 (pow y 2))) 9)>
#<alt (/ -1/3 x)>
#<alt (/ -1/3 x)>
#<alt (/ -1/3 x)>
#<alt (/ -1/3 x)>
#<alt (/ -1/3 x)>
#<alt (/ -1/3 x)>
#<alt (/ -1/3 x)>
#<alt (/ -1/3 x)>
#<alt (/ -1/3 x)>
#<alt (/ -1/3 x)>
#<alt (/ -1/3 x)>
#<alt (/ -1/3 x)>
Calls

90 calls:

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

rewrite374.0ms (3.2%)

Algorithm
1×batch-egg-rewrite
Rules
3308×/-lowering-/.f32
3308×/-lowering-/.f64
2568×*-lowering-*.f32
2568×*-lowering-*.f64
1772×fma-lowering-fma.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
037163
1232153
22174153
08298153
Stop Event
1×iter limit
1×node limit
Counts
20 → 713
Calls
Call 1
Inputs
(* (* (sqrt x) (+ y (+ (/ 1/9 x) -1))) 3)
(* (sqrt x) (+ y (+ (/ 1/9 x) -1)))
(sqrt x)
(+ y (+ (/ 1/9 x) -1))
(* 1/3 (sqrt (/ 1 x)))
(sqrt (/ 1 x))
(/ 1 x)
(* (* 3 (sqrt x)) (/ 1/9 x))
(* 3 (sqrt x))
(/ 1/9 x)
(/ (* (sqrt x) 3) (/ 1 (+ y (+ (/ 1/9 x) -1))))
(* (sqrt x) 3)
(/ 1 (+ y (+ (/ 1/9 x) -1)))
(/ 1 (/ (+ (+ (* 3 y) 3) (/ -1/3 x)) (* (- (* 9 (* y y)) (* (+ -3 (/ 1/3 x)) (+ -3 (/ 1/3 x)))) (sqrt x))))
(/ (+ (+ (* 3 y) 3) (/ -1/3 x)) (* (- (* 9 (* y y)) (* (+ -3 (/ 1/3 x)) (+ -3 (/ 1/3 x)))) (sqrt x)))
(+ (+ (* 3 y) 3) (/ -1/3 x))
(+ (* 3 y) 3)
(* (- (* 9 (* y y)) (* (+ -3 (/ 1/3 x)) (+ -3 (/ 1/3 x)))) (sqrt x))
(- (* 9 (* y y)) (* (+ -3 (/ 1/3 x)) (+ -3 (/ 1/3 x))))
(/ -1/3 x)
Outputs
(+.f64 (*.f64 #s(literal 3 binary64) (*.f64 (sqrt.f64 x) y)) (*.f64 #s(literal 3 binary64) (*.f64 (sqrt.f64 x) (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)))))
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(exp.f64 (*.f64 (log.f64 (/.f64 x #s(literal -1/3 binary64))) #s(literal -1 binary64)))
(neg.f64 (/.f64 #s(literal 1/3 binary64) x))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 x #s(literal -1/3 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 x #s(literal -1/3 binary64)) #s(literal 1 binary64))))
(/.f64 #s(literal 1/3 binary64) (-.f64 #s(literal 0 binary64) x))
(/.f64 #s(literal 1/3 binary64) (neg.f64 (neg.f64 (-.f64 #s(literal 0 binary64) x))))
(/.f64 #s(literal 1 binary64) (/.f64 x #s(literal -1/3 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 x #s(literal -1/3 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 x #s(literal -1/3 binary64)))))
(/.f64 #s(literal -1/3 binary64) x)
(/.f64 #s(literal -1/3 binary64) (neg.f64 (-.f64 #s(literal 0 binary64) x)))
(pow.f64 (/.f64 x #s(literal -1/3 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 x #s(literal -1/3 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1 binary64) x))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/3 binary64) x))
(*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/3 binary64))
(*.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1 binary64) x))

simplify370.0ms (3.2%)

Algorithm
1×egg-herbie
Rules
7380×*-lowering-*.f32
7380×*-lowering-*.f64
3340×+-lowering-+.f64
3340×+-lowering-+.f32
1482×fma-lowering-fma.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
06966073
123865308
083065308
Stop Event
1×iter limit
1×node limit
Counts
360 → 360
Calls
Call 1
Inputs
(* 1/3 (sqrt (/ 1 x)))
(/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) (- y 1)))) x)
(/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) (- y 1)))) x)
(/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) (- y 1)))) x)
(* 3 (* (sqrt x) (- y 1)))
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) (- y 1)))))
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) (- y 1)))))
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) (- y 1)))))
(* -3 (* (sqrt x) (* (pow (sqrt -1) 2) (- y 1))))
(* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1)))))))
(* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1)))))))
(* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1)))))))
(* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1)))
(+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1))))
(+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1))))
(+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1))))
(* 3 (* (sqrt x) y))
(* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))
(* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))
(* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))
(* 3 (* (sqrt x) y))
(* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))))
(* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))))
(* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))))
(* 1/9 (sqrt (/ 1 x)))
(/ (+ (* 1/9 (sqrt x)) (* (sqrt (pow x 3)) (- y 1))) x)
(/ (+ (* 1/9 (sqrt x)) (* (sqrt (pow x 3)) (- y 1))) x)
(/ (+ (* 1/9 (sqrt x)) (* (sqrt (pow x 3)) (- y 1))) x)
(* (sqrt x) (- y 1))
(* x (+ (* 1/9 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (- y 1))))
(* x (+ (* 1/9 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (- y 1))))
(* x (+ (* 1/9 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (- y 1))))
(* -1 (* (sqrt x) (* (pow (sqrt -1) 2) (- y 1))))
(* -1 (* x (+ (* 1/9 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1))))))
(* -1 (* x (+ (* 1/9 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1))))))
(* -1 (* x (+ (* 1/9 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1))))))
(* (sqrt x) (- (* 1/9 (/ 1 x)) 1))
(+ (* (sqrt x) y) (* (sqrt x) (- (* 1/9 (/ 1 x)) 1)))
(+ (* (sqrt x) y) (* (sqrt x) (- (* 1/9 (/ 1 x)) 1)))
(+ (* (sqrt x) y) (* (sqrt x) (- (* 1/9 (/ 1 x)) 1)))
(* (sqrt x) y)
(* y (+ (sqrt x) (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))
(* y (+ (sqrt x) (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))
(* y (+ (sqrt x) (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))
(* (sqrt x) y)
(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))))
(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))))
(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))))
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(- (* 1/9 (/ 1 x)) 1)
(- (+ y (* 1/9 (/ 1 x))) 1)
(- (+ y (* 1/9 (/ 1 x))) 1)
(- (+ y (* 1/9 (/ 1 x))) 1)
y
(* y (- (+ 1 (/ 1/9 (* x y))) (/ 1 y)))
(* y (- (+ 1 (/ 1/9 (* x y))) (/ 1 y)))
(* y (- (+ 1 (/ 1/9 (* x y))) (/ 1 y)))
y
(* -1 (* y (- (* -1 (/ (- (* 1/9 (/ 1 x)) 1) y)) 1)))
(* -1 (* y (- (* -1 (/ (- (* 1/9 (/ 1 x)) 1) y)) 1)))
(* -1 (* y (- (* -1 (/ (- (* 1/9 (/ 1 x)) 1) y)) 1)))
(/ 1/9 x)
(/ (+ 1/9 (* x (- y 1))) x)
(/ (+ 1/9 (* x (- y 1))) x)
(/ (+ 1/9 (* x (- y 1))) x)
(- y 1)
(- (+ y (* 1/9 (/ 1 x))) 1)
(- (+ y (* 1/9 (/ 1 x))) 1)
(- (+ y (* 1/9 (/ 1 x))) 1)
(- y 1)
(- (+ y (* 1/9 (/ 1 x))) 1)
(- (+ y (* 1/9 (/ 1 x))) 1)
(- (+ y (* 1/9 (/ 1 x))) 1)
(* 1/3 (sqrt (/ 1 x)))
(* 1/3 (sqrt (/ 1 x)))
(* 1/3 (sqrt (/ 1 x)))
(* 1/3 (sqrt (/ 1 x)))
(* 1/3 (sqrt (/ 1 x)))
(* 1/3 (sqrt (/ 1 x)))
(* 1/3 (sqrt (/ 1 x)))
(* 1/3 (sqrt (/ 1 x)))
(* 1/3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))
(* 1/3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))
(* 1/3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))
(* 1/3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))
(sqrt (/ 1 x))
(sqrt (/ 1 x))
(sqrt (/ 1 x))
(sqrt (/ 1 x))
(sqrt (/ 1 x))
(sqrt (/ 1 x))
(sqrt (/ 1 x))
(sqrt (/ 1 x))
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2))
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2))
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2))
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2))
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(* 1/3 (sqrt (/ 1 x)))
(* 1/3 (sqrt (/ 1 x)))
(* 1/3 (sqrt (/ 1 x)))
(* 1/3 (sqrt (/ 1 x)))
(* 1/3 (sqrt (/ 1 x)))
(* 1/3 (sqrt (/ 1 x)))
(* 1/3 (sqrt (/ 1 x)))
(* 1/3 (sqrt (/ 1 x)))
(* -1/3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))
(* -1/3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))
(* -1/3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))
(* -1/3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))
(* 3 (sqrt x))
(* 3 (sqrt x))
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(* 3 (sqrt x))
(* 3 (sqrt x))
(* 3 (sqrt x))
(* -3 (* (sqrt x) (pow (sqrt -1) 2)))
(* -3 (* (sqrt x) (pow (sqrt -1) 2)))
(* -3 (* (sqrt x) (pow (sqrt -1) 2)))
(* -3 (* (sqrt x) (pow (sqrt -1) 2)))
(/ 1/9 x)
(/ 1/9 x)
(/ 1/9 x)
(/ 1/9 x)
(/ 1/9 x)
(/ 1/9 x)
(/ 1/9 x)
(/ 1/9 x)
(/ 1/9 x)
(/ 1/9 x)
(/ 1/9 x)
(/ 1/9 x)
(* 1/3 (sqrt (/ 1 x)))
(/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) (- y 1)))) x)
(/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) (- y 1)))) x)
(/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) (- y 1)))) x)
(* 3 (* (sqrt x) (- y 1)))
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) (- y 1)))))
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) (- y 1)))))
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) (- y 1)))))
(* -3 (* (sqrt x) (* (pow (sqrt -1) 2) (- y 1))))
(* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1)))))))
(* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1)))))))
(* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1)))))))
(* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1)))
(+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1))))
(+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1))))
(+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1))))
(* 3 (* (sqrt x) y))
(* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))
(* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))
(* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))
(* 3 (* (sqrt x) y))
(* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))))
(* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))))
(* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))))
(* 3 (sqrt x))
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(* 3 (sqrt x))
(* 3 (sqrt x))
(* 3 (sqrt x))
(* 3 (sqrt x))
(* -3 (* (sqrt x) (pow (sqrt -1) 2)))
(* -3 (* (sqrt x) (pow (sqrt -1) 2)))
(* -3 (* (sqrt x) (pow (sqrt -1) 2)))
(* -3 (* (sqrt x) (pow (sqrt -1) 2)))
(/ 1 (- (* 1/9 (/ 1 x)) 1))
(+ (* -1 (/ y (pow (- (* 1/9 (/ 1 x)) 1) 2))) (/ 1 (- (* 1/9 (/ 1 x)) 1)))
(+ (* y (- (/ y (pow (- (* 1/9 (/ 1 x)) 1) 3)) (/ 1 (pow (- (* 1/9 (/ 1 x)) 1) 2)))) (/ 1 (- (* 1/9 (/ 1 x)) 1)))
(+ (* y (- (* y (+ (* -1 (/ y (pow (- (* 1/9 (/ 1 x)) 1) 4))) (/ 1 (pow (- (* 1/9 (/ 1 x)) 1) 3)))) (/ 1 (pow (- (* 1/9 (/ 1 x)) 1) 2)))) (/ 1 (- (* 1/9 (/ 1 x)) 1)))
(/ 1 y)
(/ (- (+ 1 (/ 1 y)) (/ 1/9 (* x y))) y)
(/ (- (+ 1 (+ (* -1 (/ (* (- 1 (* 1/9 (/ 1 x))) (- (* 1/9 (/ 1 x)) 1)) (pow y 2))) (/ 1 y))) (/ 1/9 (* x y))) y)
(/ (- (+ 1 (+ (/ 1 y) (/ (* (- 1 (* 1/9 (/ 1 x))) (pow (- (* 1/9 (/ 1 x)) 1) 2)) (pow y 3)))) (+ (/ 1/9 (* x y)) (/ (* (- 1 (* 1/9 (/ 1 x))) (- (* 1/9 (/ 1 x)) 1)) (pow y 2)))) y)
(/ 1 y)
(* -1 (/ (- (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) 1) y))
(* -1 (/ (- (* -1 (/ (- (+ 1 (* -1 (/ (* (- 1 (* 1/9 (/ 1 x))) (- (* 1/9 (/ 1 x)) 1)) y))) (* 1/9 (/ 1 x))) y)) 1) y))
(* -1 (/ (- (* -1 (/ (- (+ 1 (* -1 (/ (- (* -1 (/ (* (- 1 (* 1/9 (/ 1 x))) (pow (- (* 1/9 (/ 1 x)) 1) 2)) y)) (* -1 (* (- 1 (* 1/9 (/ 1 x))) (- (* 1/9 (/ 1 x)) 1)))) y))) (* 1/9 (/ 1 x))) y)) 1) y))
(* 9 x)
(* x (+ 9 (* -81 (* x (- y 1)))))
(* x (+ 9 (* x (- (* 729 (* x (pow (- y 1) 2))) (* 81 (- y 1))))))
(* x (+ 9 (* x (- (* x (- (* -6561 (* x (pow (- y 1) 3))) (* -729 (pow (- y 1) 2)))) (* 81 (- y 1))))))
(/ 1 (- y 1))
(- (/ 1 (- y 1)) (* 1/9 (/ 1 (* x (pow (- y 1) 2)))))
(- (+ (/ 1/81 (* (pow x 2) (pow (- y 1) 3))) (/ 1 (- y 1))) (/ 1/9 (* x (pow (- y 1) 2))))
(- (+ (* 1/81 (/ 1 (* (pow x 2) (pow (- y 1) 3)))) (/ 1 (- y 1))) (+ (/ 1/9 (* x (pow (- y 1) 2))) (* 1/729 (/ 1 (* (pow x 3) (pow (- y 1) 4))))))
(/ 1 (- y 1))
(- (/ 1 (- y 1)) (* 1/9 (/ 1 (* x (pow (- y 1) 2)))))
(+ (* -1 (/ (- (* 1/9 (/ 1 (pow (- y 1) 2))) (* 1/81 (/ 1 (* x (pow (- y 1) 3))))) x)) (/ 1 (- y 1)))
(+ (* -1 (/ (+ (* -1 (/ (- (* 1/81 (/ 1 (pow (- y 1) 3))) (* 1/729 (/ 1 (* x (pow (- y 1) 4))))) x)) (* 1/9 (/ 1 (pow (- y 1) 2)))) x)) (/ 1 (- y 1)))
(* -1 (* (sqrt x) (/ (pow (- (* 1/3 (/ 1 x)) 3) 2) (- 3 (* 1/3 (/ 1 x))))))
(+ (* -1 (* (sqrt x) (/ (pow (- (* 1/3 (/ 1 x)) 3) 2) (- 3 (* 1/3 (/ 1 x)))))) (* 3 (* (sqrt x) (/ (* y (pow (- (* 1/3 (/ 1 x)) 3) 2)) (pow (- 3 (* 1/3 (/ 1 x))) 2)))))
(+ (* -1 (* (sqrt x) (/ (pow (- (* 1/3 (/ 1 x)) 3) 2) (- 3 (* 1/3 (/ 1 x)))))) (* y (+ (* 3 (* (sqrt x) (/ (pow (- (* 1/3 (/ 1 x)) 3) 2) (pow (- 3 (* 1/3 (/ 1 x))) 2)))) (* (sqrt x) (* y (- (* 9 (/ 1 (- 3 (* 1/3 (/ 1 x))))) (* 9 (/ (pow (- (* 1/3 (/ 1 x)) 3) 2) (pow (- 3 (* 1/3 (/ 1 x))) 3)))))))))
(+ (* -1 (* (sqrt x) (/ (pow (- (* 1/3 (/ 1 x)) 3) 2) (- 3 (* 1/3 (/ 1 x)))))) (* y (+ (* 3 (* (sqrt x) (/ (pow (- (* 1/3 (/ 1 x)) 3) 2) (pow (- 3 (* 1/3 (/ 1 x))) 2)))) (* y (+ (* -3 (* (sqrt x) (/ (* y (- (* 9 (/ 1 (- 3 (* 1/3 (/ 1 x))))) (* 9 (/ (pow (- (* 1/3 (/ 1 x)) 3) 2) (pow (- 3 (* 1/3 (/ 1 x))) 3))))) (- 3 (* 1/3 (/ 1 x)))))) (* (sqrt x) (- (* 9 (/ 1 (- 3 (* 1/3 (/ 1 x))))) (* 9 (/ (pow (- (* 1/3 (/ 1 x)) 3) 2) (pow (- 3 (* 1/3 (/ 1 x))) 3))))))))))
(* 3 (* (sqrt x) y))
(* y (+ (* 3 (sqrt x)) (* (sqrt x) (/ (- (* 1/3 (/ 1 x)) 3) y))))
(* y (+ (* 3 (sqrt x)) (+ (* (sqrt x) (/ (- (* -1/3 (pow (- (* 1/3 (/ 1 x)) 3) 2)) (* 1/3 (* (- 3 (* 1/3 (/ 1 x))) (- (* 1/3 (/ 1 x)) 3)))) (pow y 2))) (* (sqrt x) (/ (- (* 1/3 (/ 1 x)) 3) y)))))
(* y (+ (* -1/3 (* (sqrt x) (/ (* (- 3 (* 1/3 (/ 1 x))) (- (* -1/3 (pow (- (* 1/3 (/ 1 x)) 3) 2)) (* 1/3 (* (- 3 (* 1/3 (/ 1 x))) (- (* 1/3 (/ 1 x)) 3))))) (pow y 3)))) (+ (* 3 (sqrt x)) (+ (* (sqrt x) (/ (- (* -1/3 (pow (- (* 1/3 (/ 1 x)) 3) 2)) (* 1/3 (* (- 3 (* 1/3 (/ 1 x))) (- (* 1/3 (/ 1 x)) 3)))) (pow y 2))) (* (sqrt x) (/ (- (* 1/3 (/ 1 x)) 3) y))))))
(* 3 (* (sqrt x) y))
(* -1 (* y (+ (* -3 (sqrt x)) (* -1 (* (sqrt x) (/ (- (* 1/3 (/ 1 x)) 3) y))))))
(* -1 (* y (+ (* -3 (sqrt x)) (* -1 (/ (+ (* -1 (* (sqrt x) (/ (- (* 1/3 (pow (- (* 1/3 (/ 1 x)) 3) 2)) (* -1/3 (* (- 3 (* 1/3 (/ 1 x))) (- (* 1/3 (/ 1 x)) 3)))) y))) (* (sqrt x) (- (* 1/3 (/ 1 x)) 3))) y)))))
(* -1 (* y (+ (* -3 (sqrt x)) (* -1 (/ (+ (* -1 (/ (+ (* -1/3 (* (sqrt x) (/ (* (- 3 (* 1/3 (/ 1 x))) (- (* 1/3 (pow (- (* 1/3 (/ 1 x)) 3) 2)) (* -1/3 (* (- 3 (* 1/3 (/ 1 x))) (- (* 1/3 (/ 1 x)) 3))))) y))) (* (sqrt x) (- (* 1/3 (pow (- (* 1/3 (/ 1 x)) 3) 2)) (* -1/3 (* (- 3 (* 1/3 (/ 1 x))) (- (* 1/3 (/ 1 x)) 3)))))) y)) (* (sqrt x) (- (* 1/3 (/ 1 x)) 3))) y)))))
(* 1/3 (sqrt (/ 1 x)))
(/ (+ (* -1 (* (sqrt (pow x 3)) (+ 6 (* -1 (+ 3 (* 3 y)))))) (* 1/3 (sqrt x))) x)
(/ (+ (* 1/3 (sqrt x)) (* x (+ (* -1 (* (sqrt x) (+ 6 (* -1 (+ 3 (* 3 y)))))) (* (sqrt (pow x 3)) (- (* -3 (- (* 9 (pow y 2)) 9)) (* 3 (* (+ 3 (* 3 y)) (+ 6 (* -1 (+ 3 (* 3 y))))))))))) x)
(/ (+ (* 1/3 (sqrt x)) (* x (+ (* -1 (* (sqrt x) (+ 6 (* -1 (+ 3 (* 3 y)))))) (* x (+ (* 3 (* (sqrt (pow x 3)) (* (+ 3 (* 3 y)) (- (* -3 (- (* 9 (pow y 2)) 9)) (* 3 (* (+ 3 (* 3 y)) (+ 6 (* -1 (+ 3 (* 3 y)))))))))) (* (sqrt x) (- (* -3 (- (* 9 (pow y 2)) 9)) (* 3 (* (+ 3 (* 3 y)) (+ 6 (* -1 (+ 3 (* 3 y))))))))))))) x)
(* (sqrt x) (/ (- (* 9 (pow y 2)) 9) (+ 3 (* 3 y))))
(* x (+ (* (sqrt (/ 1 x)) (/ (- (* 9 (pow y 2)) 9) (+ 3 (* 3 y)))) (* (sqrt (/ 1 (pow x 3))) (- (* 2 (/ 1 (+ 3 (* 3 y)))) (* -1/3 (/ (- (* 9 (pow y 2)) 9) (pow (+ 3 (* 3 y)) 2)))))))
(* x (+ (* -1 (* (sqrt (/ 1 (pow x 5))) (+ (* -1/3 (/ (- (* 2 (/ 1 (+ 3 (* 3 y)))) (* -1/3 (/ (- (* 9 (pow y 2)) 9) (pow (+ 3 (* 3 y)) 2)))) (+ 3 (* 3 y)))) (* 1/9 (/ 1 (+ 3 (* 3 y))))))) (+ (* (sqrt (/ 1 x)) (/ (- (* 9 (pow y 2)) 9) (+ 3 (* 3 y)))) (* (sqrt (/ 1 (pow x 3))) (- (* 2 (/ 1 (+ 3 (* 3 y)))) (* -1/3 (/ (- (* 9 (pow y 2)) 9) (pow (+ 3 (* 3 y)) 2))))))))
(* x (+ (* -1 (* (sqrt (/ 1 (pow x 5))) (+ (* -1/3 (/ (- (* 2 (/ 1 (+ 3 (* 3 y)))) (* -1/3 (/ (- (* 9 (pow y 2)) 9) (pow (+ 3 (* 3 y)) 2)))) (+ 3 (* 3 y)))) (* 1/9 (/ 1 (+ 3 (* 3 y))))))) (+ (* -1/3 (* (sqrt (/ 1 (pow x 7))) (/ (+ (* -1/3 (/ (- (* 2 (/ 1 (+ 3 (* 3 y)))) (* -1/3 (/ (- (* 9 (pow y 2)) 9) (pow (+ 3 (* 3 y)) 2)))) (+ 3 (* 3 y)))) (* 1/9 (/ 1 (+ 3 (* 3 y))))) (+ 3 (* 3 y))))) (+ (* (sqrt (/ 1 x)) (/ (- (* 9 (pow y 2)) 9) (+ 3 (* 3 y)))) (* (sqrt (/ 1 (pow x 3))) (- (* 2 (/ 1 (+ 3 (* 3 y)))) (* -1/3 (/ (- (* 9 (pow y 2)) 9) (pow (+ 3 (* 3 y)) 2)))))))))
(* -1 (* (sqrt x) (/ (* (pow (sqrt -1) 2) (- (* 9 (pow y 2)) 9)) (+ 3 (* 3 y)))))
(* -1 (* x (+ (* -1 (* (sqrt (/ 1 (pow x 3))) (* (sqrt -1) (- (* -2 (/ (sqrt -1) (+ 3 (* 3 y)))) (* 1/3 (/ (* (sqrt -1) (- (* 9 (pow y 2)) 9)) (pow (+ 3 (* 3 y)) 2))))))) (* (sqrt (/ 1 x)) (/ (* (pow (sqrt -1) 2) (- (* 9 (pow y 2)) 9)) (+ 3 (* 3 y)))))))
(* -1 (* x (+ (* -1 (/ (+ (* -1 (* (sqrt (/ 1 (pow x 3))) (* (sqrt -1) (- (* -1/9 (/ (sqrt -1) (+ 3 (* 3 y)))) (* 1/3 (/ (- (* -2 (/ (sqrt -1) (+ 3 (* 3 y)))) (* 1/3 (/ (* (sqrt -1) (- (* 9 (pow y 2)) 9)) (pow (+ 3 (* 3 y)) 2)))) (+ 3 (* 3 y)))))))) (* (sqrt (/ 1 x)) (* (sqrt -1) (- (* -2 (/ (sqrt -1) (+ 3 (* 3 y)))) (* 1/3 (/ (* (sqrt -1) (- (* 9 (pow y 2)) 9)) (pow (+ 3 (* 3 y)) 2))))))) x)) (* (sqrt (/ 1 x)) (/ (* (pow (sqrt -1) 2) (- (* 9 (pow y 2)) 9)) (+ 3 (* 3 y)))))))
(* -1 (* x (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (/ (* (sqrt -1) (- (* -1/9 (/ (sqrt -1) (+ 3 (* 3 y)))) (* 1/3 (/ (- (* -2 (/ (sqrt -1) (+ 3 (* 3 y)))) (* 1/3 (/ (* (sqrt -1) (- (* 9 (pow y 2)) 9)) (pow (+ 3 (* 3 y)) 2)))) (+ 3 (* 3 y)))))) (+ 3 (* 3 y))))) (* (sqrt (/ 1 x)) (* (sqrt -1) (- (* -1/9 (/ (sqrt -1) (+ 3 (* 3 y)))) (* 1/3 (/ (- (* -2 (/ (sqrt -1) (+ 3 (* 3 y)))) (* 1/3 (/ (* (sqrt -1) (- (* 9 (pow y 2)) 9)) (pow (+ 3 (* 3 y)) 2)))) (+ 3 (* 3 y)))))))) x)) (* (sqrt (/ 1 x)) (* (sqrt -1) (- (* -2 (/ (sqrt -1) (+ 3 (* 3 y)))) (* 1/3 (/ (* (sqrt -1) (- (* 9 (pow y 2)) 9)) (pow (+ 3 (* 3 y)) 2))))))) x)) (* (sqrt (/ 1 x)) (/ (* (pow (sqrt -1) 2) (- (* 9 (pow y 2)) 9)) (+ 3 (* 3 y)))))))
(* -1 (* (sqrt (/ 1 x)) (/ (- 3 (* 1/3 (/ 1 x))) (pow (- (* 1/3 (/ 1 x)) 3) 2))))
(+ (* -3 (* (sqrt (/ 1 x)) (/ y (pow (- (* 1/3 (/ 1 x)) 3) 2)))) (* -1 (* (sqrt (/ 1 x)) (/ (- 3 (* 1/3 (/ 1 x))) (pow (- (* 1/3 (/ 1 x)) 3) 2)))))
(+ (* -1 (* (sqrt (/ 1 x)) (/ (- 3 (* 1/3 (/ 1 x))) (pow (- (* 1/3 (/ 1 x)) 3) 2)))) (* y (+ (* -9 (* (sqrt (/ 1 x)) (/ (* y (- 3 (* 1/3 (/ 1 x)))) (pow (- (* 1/3 (/ 1 x)) 3) 4)))) (* -3 (* (sqrt (/ 1 x)) (/ 1 (pow (- (* 1/3 (/ 1 x)) 3) 2)))))))
(+ (* -1 (* (sqrt (/ 1 x)) (/ (- 3 (* 1/3 (/ 1 x))) (pow (- (* 1/3 (/ 1 x)) 3) 2)))) (* y (+ (* -3 (* (sqrt (/ 1 x)) (/ 1 (pow (- (* 1/3 (/ 1 x)) 3) 2)))) (* y (+ (* -27 (* (sqrt (/ 1 x)) (/ y (pow (- (* 1/3 (/ 1 x)) 3) 4)))) (* -9 (* (sqrt (/ 1 x)) (/ (- 3 (* 1/3 (/ 1 x))) (pow (- (* 1/3 (/ 1 x)) 3) 4)))))))))
(* 1/3 (* (sqrt (/ 1 x)) (/ 1 y)))
(/ (+ (* 1/9 (* (sqrt (/ 1 x)) (/ (- 3 (* 1/3 (/ 1 x))) y))) (* 1/3 (sqrt (/ 1 x)))) y)
(/ (+ (* 1/27 (* (sqrt (/ 1 x)) (/ (pow (- (* 1/3 (/ 1 x)) 3) 2) (pow y 2)))) (+ (* 1/9 (* (sqrt (/ 1 x)) (/ (- 3 (* 1/3 (/ 1 x))) y))) (* 1/3 (sqrt (/ 1 x))))) y)
(/ (+ (* 1/81 (* (sqrt (/ 1 x)) (/ (* (- 3 (* 1/3 (/ 1 x))) (pow (- (* 1/3 (/ 1 x)) 3) 2)) (pow y 3)))) (+ (* 1/27 (* (sqrt (/ 1 x)) (/ (pow (- (* 1/3 (/ 1 x)) 3) 2) (pow y 2)))) (+ (* 1/9 (* (sqrt (/ 1 x)) (/ (- 3 (* 1/3 (/ 1 x))) y))) (* 1/3 (sqrt (/ 1 x)))))) y)
(* 1/3 (* (sqrt (/ 1 x)) (/ 1 y)))
(* -1 (/ (+ (* -1/3 (sqrt (/ 1 x))) (* -1/9 (* (sqrt (/ 1 x)) (/ (- 3 (* 1/3 (/ 1 x))) y)))) y))
(* -1 (/ (+ (* -1 (/ (+ (* 1/27 (* (sqrt (/ 1 x)) (/ (pow (- (* 1/3 (/ 1 x)) 3) 2) y))) (* 1/9 (* (sqrt (/ 1 x)) (- 3 (* 1/3 (/ 1 x)))))) y)) (* -1/3 (sqrt (/ 1 x)))) y))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/27 (* (sqrt (/ 1 x)) (pow (- (* 1/3 (/ 1 x)) 3) 2))) (* -1/81 (* (sqrt (/ 1 x)) (/ (* (- 3 (* 1/3 (/ 1 x))) (pow (- (* 1/3 (/ 1 x)) 3) 2)) y)))) y)) (* 1/9 (* (sqrt (/ 1 x)) (- 3 (* 1/3 (/ 1 x)))))) y)) (* -1/3 (sqrt (/ 1 x)))) y))
(* 3 (sqrt x))
(+ (* 3 (sqrt x)) (* (sqrt (pow x 3)) (+ 54 (* -9 (+ 3 (* 3 y))))))
(+ (* 3 (sqrt x)) (* x (+ (* -1 (* (sqrt (pow x 3)) (+ (* -27 (- (* 9 (pow y 2)) 9)) (* -18 (+ 54 (* -9 (+ 3 (* 3 y)))))))) (* (sqrt x) (+ 54 (* -9 (+ 3 (* 3 y))))))))
(+ (* 3 (sqrt x)) (* x (+ (* x (+ (* -1 (* (sqrt x) (+ (* -27 (- (* 9 (pow y 2)) 9)) (* -18 (+ 54 (* -9 (+ 3 (* 3 y)))))))) (* -1 (* (sqrt (pow x 3)) (+ (* -9 (* (+ 54 (* -9 (+ 3 (* 3 y)))) (- (* 9 (pow y 2)) 9))) (* 18 (+ (* -27 (- (* 9 (pow y 2)) 9)) (* -18 (+ 54 (* -9 (+ 3 (* 3 y)))))))))))) (* (sqrt x) (+ 54 (* -9 (+ 3 (* 3 y))))))))
(* (sqrt (/ 1 x)) (/ (+ 3 (* 3 y)) (- (* 9 (pow y 2)) 9)))
(+ (* -1 (* (sqrt (/ 1 (pow x 3))) (+ (* 2 (/ (+ 3 (* 3 y)) (pow (- (* 9 (pow y 2)) 9) 2))) (* 1/3 (/ 1 (- (* 9 (pow y 2)) 9)))))) (* (sqrt (/ 1 x)) (/ (+ 3 (* 3 y)) (- (* 9 (pow y 2)) 9))))
(+ (* -1 (* (sqrt (/ 1 (pow x 3))) (+ (* 2 (/ (+ 3 (* 3 y)) (pow (- (* 9 (pow y 2)) 9) 2))) (* 1/3 (/ 1 (- (* 9 (pow y 2)) 9)))))) (+ (* -1 (* (sqrt (/ 1 (pow x 5))) (+ (* -2 (/ (+ (* 2 (/ (+ 3 (* 3 y)) (pow (- (* 9 (pow y 2)) 9) 2))) (* 1/3 (/ 1 (- (* 9 (pow y 2)) 9)))) (- (* 9 (pow y 2)) 9))) (* -1/9 (/ (+ 3 (* 3 y)) (pow (- (* 9 (pow y 2)) 9) 2)))))) (* (sqrt (/ 1 x)) (/ (+ 3 (* 3 y)) (- (* 9 (pow y 2)) 9)))))
(+ (* -1 (* (sqrt (/ 1 (pow x 3))) (+ (* 2 (/ (+ 3 (* 3 y)) (pow (- (* 9 (pow y 2)) 9) 2))) (* 1/3 (/ 1 (- (* 9 (pow y 2)) 9)))))) (+ (* -1 (* (sqrt (/ 1 (pow x 5))) (+ (* -2 (/ (+ (* 2 (/ (+ 3 (* 3 y)) (pow (- (* 9 (pow y 2)) 9) 2))) (* 1/3 (/ 1 (- (* 9 (pow y 2)) 9)))) (- (* 9 (pow y 2)) 9))) (* -1/9 (/ (+ 3 (* 3 y)) (pow (- (* 9 (pow y 2)) 9) 2)))))) (+ (* -1 (* (sqrt (/ 1 (pow x 7))) (+ (* -2 (/ (+ (* -2 (/ (+ (* 2 (/ (+ 3 (* 3 y)) (pow (- (* 9 (pow y 2)) 9) 2))) (* 1/3 (/ 1 (- (* 9 (pow y 2)) 9)))) (- (* 9 (pow y 2)) 9))) (* -1/9 (/ (+ 3 (* 3 y)) (pow (- (* 9 (pow y 2)) 9) 2)))) (- (* 9 (pow y 2)) 9))) (* 1/9 (/ (+ (* 2 (/ (+ 3 (* 3 y)) (pow (- (* 9 (pow y 2)) 9) 2))) (* 1/3 (/ 1 (- (* 9 (pow y 2)) 9)))) (- (* 9 (pow y 2)) 9)))))) (* (sqrt (/ 1 x)) (/ (+ 3 (* 3 y)) (- (* 9 (pow y 2)) 9))))))
(* (sqrt (/ 1 x)) (/ (+ 3 (* 3 y)) (- (* 9 (pow y 2)) 9)))
(+ (* -1 (* (sqrt (/ 1 (pow x 3))) (* (sqrt -1) (- (* 1/3 (/ 1 (* (sqrt -1) (- (* 9 (pow y 2)) 9)))) (* -2 (/ (+ 3 (* 3 y)) (* (sqrt -1) (pow (- (* 9 (pow y 2)) 9) 2)))))))) (* (sqrt (/ 1 x)) (/ (+ 3 (* 3 y)) (- (* 9 (pow y 2)) 9))))
(+ (* -1 (/ (+ (* (sqrt (/ 1 x)) (* (sqrt -1) (- (* 1/3 (/ 1 (* (sqrt -1) (- (* 9 (pow y 2)) 9)))) (* -2 (/ (+ 3 (* 3 y)) (* (sqrt -1) (pow (- (* 9 (pow y 2)) 9) 2))))))) (* (sqrt (/ 1 (pow x 3))) (* (sqrt -1) (+ (* -2 (/ (- (* 1/3 (/ 1 (* (sqrt -1) (- (* 9 (pow y 2)) 9)))) (* -2 (/ (+ 3 (* 3 y)) (* (sqrt -1) (pow (- (* 9 (pow y 2)) 9) 2))))) (- (* 9 (pow y 2)) 9))) (* -1/9 (/ (+ 3 (* 3 y)) (* (sqrt -1) (pow (- (* 9 (pow y 2)) 9) 2)))))))) x)) (* (sqrt (/ 1 x)) (/ (+ 3 (* 3 y)) (- (* 9 (pow y 2)) 9))))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (* (sqrt (/ 1 x)) (* (sqrt -1) (+ (* -2 (/ (- (* 1/3 (/ 1 (* (sqrt -1) (- (* 9 (pow y 2)) 9)))) (* -2 (/ (+ 3 (* 3 y)) (* (sqrt -1) (pow (- (* 9 (pow y 2)) 9) 2))))) (- (* 9 (pow y 2)) 9))) (* -1/9 (/ (+ 3 (* 3 y)) (* (sqrt -1) (pow (- (* 9 (pow y 2)) 9) 2)))))))) (* (sqrt (/ 1 (pow x 3))) (* (sqrt -1) (+ (* -1/9 (/ (- (* 1/3 (/ 1 (* (sqrt -1) (- (* 9 (pow y 2)) 9)))) (* -2 (/ (+ 3 (* 3 y)) (* (sqrt -1) (pow (- (* 9 (pow y 2)) 9) 2))))) (- (* 9 (pow y 2)) 9))) (* 2 (/ (+ (* -2 (/ (- (* 1/3 (/ 1 (* (sqrt -1) (- (* 9 (pow y 2)) 9)))) (* -2 (/ (+ 3 (* 3 y)) (* (sqrt -1) (pow (- (* 9 (pow y 2)) 9) 2))))) (- (* 9 (pow y 2)) 9))) (* -1/9 (/ (+ 3 (* 3 y)) (* (sqrt -1) (pow (- (* 9 (pow y 2)) 9) 2))))) (- (* 9 (pow y 2)) 9))))))) x)) (* (sqrt (/ 1 x)) (* (sqrt -1) (- (* 1/3 (/ 1 (* (sqrt -1) (- (* 9 (pow y 2)) 9)))) (* -2 (/ (+ 3 (* 3 y)) (* (sqrt -1) (pow (- (* 9 (pow y 2)) 9) 2)))))))) x)) (* (sqrt (/ 1 x)) (/ (+ 3 (* 3 y)) (- (* 9 (pow y 2)) 9))))
(- 3 (* 1/3 (/ 1 x)))
(- (+ 3 (* 3 y)) (* 1/3 (/ 1 x)))
(- (+ 3 (* 3 y)) (* 1/3 (/ 1 x)))
(- (+ 3 (* 3 y)) (* 1/3 (/ 1 x)))
(* 3 y)
(* y (- (+ 3 (* 3 (/ 1 y))) (/ 1/3 (* x y))))
(* y (- (+ 3 (* 3 (/ 1 y))) (/ 1/3 (* x y))))
(* y (- (+ 3 (* 3 (/ 1 y))) (/ 1/3 (* x y))))
(* 3 y)
(* -1 (* y (- (* -1 (/ (- 3 (* 1/3 (/ 1 x))) y)) 3)))
(* -1 (* y (- (* -1 (/ (- 3 (* 1/3 (/ 1 x))) y)) 3)))
(* -1 (* y (- (* -1 (/ (- 3 (* 1/3 (/ 1 x))) y)) 3)))
(/ -1/3 x)
(/ (- (* x (+ 3 (* 3 y))) 1/3) x)
(/ (- (* x (+ 3 (* 3 y))) 1/3) x)
(/ (- (* x (+ 3 (* 3 y))) 1/3) x)
(+ 3 (* 3 y))
(- (+ 3 (* 3 y)) (* 1/3 (/ 1 x)))
(- (+ 3 (* 3 y)) (* 1/3 (/ 1 x)))
(- (+ 3 (* 3 y)) (* 1/3 (/ 1 x)))
(+ 3 (* 3 y))
(- (+ 3 (* 3 y)) (* 1/3 (/ 1 x)))
(- (+ 3 (* 3 y)) (* 1/3 (/ 1 x)))
(- (+ 3 (* 3 y)) (* 1/3 (/ 1 x)))
3
(+ 3 (* 3 y))
(+ 3 (* 3 y))
(+ 3 (* 3 y))
(* 3 y)
(* y (+ 3 (* 3 (/ 1 y))))
(* y (+ 3 (* 3 (/ 1 y))))
(* y (+ 3 (* 3 (/ 1 y))))
(* 3 y)
(* y (+ 3 (* 3 (/ 1 y))))
(* y (+ 3 (* 3 (/ 1 y))))
(* y (+ 3 (* 3 (/ 1 y))))
(* -1 (* (sqrt x) (pow (- (* 1/3 (/ 1 x)) 3) 2)))
(+ (* -1 (* (sqrt x) (pow (- (* 1/3 (/ 1 x)) 3) 2))) (* 9 (* (sqrt x) (pow y 2))))
(+ (* -1 (* (sqrt x) (pow (- (* 1/3 (/ 1 x)) 3) 2))) (* 9 (* (sqrt x) (pow y 2))))
(+ (* -1 (* (sqrt x) (pow (- (* 1/3 (/ 1 x)) 3) 2))) (* 9 (* (sqrt x) (pow y 2))))
(* 9 (* (sqrt x) (pow y 2)))
(* (pow y 2) (+ (* -1 (* (sqrt x) (/ (pow (- (* 1/3 (/ 1 x)) 3) 2) (pow y 2)))) (* 9 (sqrt x))))
(* (pow y 2) (+ (* -1 (* (sqrt x) (/ (pow (- (* 1/3 (/ 1 x)) 3) 2) (pow y 2)))) (* 9 (sqrt x))))
(* (pow y 2) (+ (* -1 (* (sqrt x) (/ (pow (- (* 1/3 (/ 1 x)) 3) 2) (pow y 2)))) (* 9 (sqrt x))))
(* 9 (* (sqrt x) (pow y 2)))
(* (pow y 2) (+ (* -1 (* (sqrt x) (/ (pow (- (* 1/3 (/ 1 x)) 3) 2) (pow y 2)))) (* 9 (sqrt x))))
(* (pow y 2) (+ (* -1 (* (sqrt x) (/ (pow (- (* 1/3 (/ 1 x)) 3) 2) (pow y 2)))) (* 9 (sqrt x))))
(* (pow y 2) (+ (* -1 (* (sqrt x) (/ (pow (- (* 1/3 (/ 1 x)) 3) 2) (pow y 2)))) (* 9 (sqrt x))))
(* -1/9 (sqrt (/ 1 (pow x 3))))
(/ (+ (* -1/9 (sqrt x)) (* 2 (sqrt (pow x 3)))) (pow x 2))
(/ (+ (* -1/9 (sqrt x)) (* x (+ (* 2 (sqrt x)) (* (sqrt (pow x 3)) (- (* 9 (pow y 2)) 9))))) (pow x 2))
(/ (+ (* -1/9 (sqrt x)) (* x (+ (* 2 (sqrt x)) (* (sqrt (pow x 3)) (- (* 9 (pow y 2)) 9))))) (pow x 2))
(* (sqrt x) (- (* 9 (pow y 2)) 9))
(* x (+ (* 2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (- (* 9 (pow y 2)) 9))))
(* x (+ (* -1/9 (sqrt (/ 1 (pow x 5)))) (+ (* 2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (- (* 9 (pow y 2)) 9)))))
(* x (+ (* -1/9 (sqrt (/ 1 (pow x 5)))) (+ (* 2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (- (* 9 (pow y 2)) 9)))))
(* -1 (* (sqrt x) (* (pow (sqrt -1) 2) (- (* 9 (pow y 2)) 9))))
(* -1 (* x (+ (* 2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- (* 9 (pow y 2)) 9))))))
(* -1 (* x (+ (* -1 (/ (+ (* -2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/9 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))) x)) (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- (* 9 (pow y 2)) 9))))))
(* -1 (* x (+ (* -1 (/ (+ (* -2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/9 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))) x)) (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- (* 9 (pow y 2)) 9))))))
(* -1 (pow (- (* 1/3 (/ 1 x)) 3) 2))
(- (* 9 (pow y 2)) (pow (- (* 1/3 (/ 1 x)) 3) 2))
(- (* 9 (pow y 2)) (pow (- (* 1/3 (/ 1 x)) 3) 2))
(- (* 9 (pow y 2)) (pow (- (* 1/3 (/ 1 x)) 3) 2))
(* 9 (pow y 2))
(* (pow y 2) (+ 9 (* -1 (/ (pow (- (* 1/3 (/ 1 x)) 3) 2) (pow y 2)))))
(* (pow y 2) (+ 9 (* -1 (/ (pow (- (* 1/3 (/ 1 x)) 3) 2) (pow y 2)))))
(* (pow y 2) (+ 9 (* -1 (/ (pow (- (* 1/3 (/ 1 x)) 3) 2) (pow y 2)))))
(* 9 (pow y 2))
(* (pow y 2) (+ 9 (* -1 (/ (pow (- (* 1/3 (/ 1 x)) 3) 2) (pow y 2)))))
(* (pow y 2) (+ 9 (* -1 (/ (pow (- (* 1/3 (/ 1 x)) 3) 2) (pow y 2)))))
(* (pow y 2) (+ 9 (* -1 (/ (pow (- (* 1/3 (/ 1 x)) 3) 2) (pow y 2)))))
(/ -1/9 (pow x 2))
(/ (- (* 2 x) 1/9) (pow x 2))
(/ (- (* x (+ 2 (* x (- (* 9 (pow y 2)) 9)))) 1/9) (pow x 2))
(/ (- (* x (+ 2 (* x (- (* 9 (pow y 2)) 9)))) 1/9) (pow x 2))
(- (* 9 (pow y 2)) 9)
(- (+ (* 9 (pow y 2)) (* 2 (/ 1 x))) 9)
(- (+ (* 9 (pow y 2)) (* 2 (/ 1 x))) (+ 9 (/ 1/9 (pow x 2))))
(- (+ (* 9 (pow y 2)) (* 2 (/ 1 x))) (+ 9 (/ 1/9 (pow x 2))))
(- (* 9 (pow y 2)) 9)
(- (+ (* 9 (pow y 2)) (* 2 (/ 1 x))) 9)
(- (+ (* -1 (/ (- (* 1/9 (/ 1 x)) 2) x)) (* 9 (pow y 2))) 9)
(- (+ (* -1 (/ (- (* 1/9 (/ 1 x)) 2) x)) (* 9 (pow y 2))) 9)
(/ -1/3 x)
(/ -1/3 x)
(/ -1/3 x)
(/ -1/3 x)
(/ -1/3 x)
(/ -1/3 x)
(/ -1/3 x)
(/ -1/3 x)
(/ -1/3 x)
(/ -1/3 x)
(/ -1/3 x)
(/ -1/3 x)
Outputs
(* 1/3 (sqrt (/ 1 x)))
(*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) (- y 1)))) x)
(/.f64 (+.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (*.f64 (sqrt.f64 (*.f64 x (*.f64 x x))) (*.f64 (+.f64 y #s(literal -1 binary64)) #s(literal 3 binary64)))) x)
(/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) (- y 1)))) x)
(/.f64 (+.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (*.f64 (sqrt.f64 (*.f64 x (*.f64 x x))) (*.f64 (+.f64 y #s(literal -1 binary64)) #s(literal 3 binary64)))) x)
(/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) (- y 1)))) x)
(/.f64 (+.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (*.f64 (sqrt.f64 (*.f64 x (*.f64 x x))) (*.f64 (+.f64 y #s(literal -1 binary64)) #s(literal 3 binary64)))) x)
(* 3 (* (sqrt x) (- y 1)))
(*.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) (+.f64 y #s(literal -1 binary64))))
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) (- y 1)))))
(*.f64 x (+.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (+.f64 y #s(literal -1 binary64)) #s(literal 3 binary64)))))
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) (- y 1)))))
(*.f64 x (+.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (+.f64 y #s(literal -1 binary64)) #s(literal 3 binary64)))))
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) (- y 1)))))
(*.f64 x (+.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (+.f64 y #s(literal -1 binary64)) #s(literal 3 binary64)))))
(* -3 (* (sqrt x) (* (pow (sqrt -1) 2) (- y 1))))
(*.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) (+.f64 y #s(literal -1 binary64))))
(* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1)))))))
(*.f64 (+.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) #s(literal -1/3 binary64)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (+.f64 (neg.f64 y) #s(literal 1 binary64)) #s(literal 3 binary64)))) (neg.f64 x))
(* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1)))))))
(*.f64 (+.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) #s(literal -1/3 binary64)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (+.f64 (neg.f64 y) #s(literal 1 binary64)) #s(literal 3 binary64)))) (neg.f64 x))
(* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1)))))))
(*.f64 (+.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) #s(literal -1/3 binary64)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (+.f64 (neg.f64 y) #s(literal 1 binary64)) #s(literal 3 binary64)))) (neg.f64 x))
(* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1)))
(*.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64))))
(+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1))))
(*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) (+.f64 y (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64))))
(+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1))))
(*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) (+.f64 y (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64))))
(+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1))))
(*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) (+.f64 y (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64))))
(* 3 (* (sqrt x) y))
(*.f64 #s(literal 3 binary64) (*.f64 (sqrt.f64 x) y))
(* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))
(*.f64 (*.f64 #s(literal 3 binary64) y) (*.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)) y) #s(literal 1 binary64)) (sqrt.f64 x)))
(* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))
(*.f64 (*.f64 #s(literal 3 binary64) y) (*.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)) y) #s(literal 1 binary64)) (sqrt.f64 x)))
(* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))
(*.f64 (*.f64 #s(literal 3 binary64) y) (*.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)) y) #s(literal 1 binary64)) (sqrt.f64 x)))
(* 3 (* (sqrt x) y))
(*.f64 #s(literal 3 binary64) (*.f64 (sqrt.f64 x) y))
(* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))))
(*.f64 (*.f64 (neg.f64 y) #s(literal -3 binary64)) (*.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)) y) #s(literal 1 binary64)) (sqrt.f64 x)))
(* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))))
(*.f64 (*.f64 (neg.f64 y) #s(literal -3 binary64)) (*.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)) y) #s(literal 1 binary64)) (sqrt.f64 x)))
(* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))))
(*.f64 (*.f64 (neg.f64 y) #s(literal -3 binary64)) (*.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)) y) #s(literal 1 binary64)) (sqrt.f64 x)))
(* 1/9 (sqrt (/ 1 x)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/9 binary64))
(/ (+ (* 1/9 (sqrt x)) (* (sqrt (pow x 3)) (- y 1))) x)
(/.f64 (+.f64 (*.f64 (sqrt.f64 (*.f64 x (*.f64 x x))) (+.f64 y #s(literal -1 binary64))) (*.f64 (sqrt.f64 x) #s(literal 1/9 binary64))) x)
(/ (+ (* 1/9 (sqrt x)) (* (sqrt (pow x 3)) (- y 1))) x)
(/.f64 (+.f64 (*.f64 (sqrt.f64 (*.f64 x (*.f64 x x))) (+.f64 y #s(literal -1 binary64))) (*.f64 (sqrt.f64 x) #s(literal 1/9 binary64))) x)
(/ (+ (* 1/9 (sqrt x)) (* (sqrt (pow x 3)) (- y 1))) x)
(/.f64 (+.f64 (*.f64 (sqrt.f64 (*.f64 x (*.f64 x x))) (+.f64 y #s(literal -1 binary64))) (*.f64 (sqrt.f64 x) #s(literal 1/9 binary64))) x)
(* (sqrt x) (- y 1))
(*.f64 (sqrt.f64 x) (+.f64 y #s(literal -1 binary64)))
(* x (+ (* 1/9 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (- y 1))))
(*.f64 x (+.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (+.f64 y #s(literal -1 binary64))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) #s(literal 1/9 binary64))))
(* x (+ (* 1/9 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (- y 1))))
(*.f64 x (+.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (+.f64 y #s(literal -1 binary64))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) #s(literal 1/9 binary64))))
(* x (+ (* 1/9 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (- y 1))))
(*.f64 x (+.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (+.f64 y #s(literal -1 binary64))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) #s(literal 1/9 binary64))))
(* -1 (* (sqrt x) (* (pow (sqrt -1) 2) (- y 1))))
(*.f64 (*.f64 #s(literal 1 binary64) (sqrt.f64 x)) (+.f64 y #s(literal -1 binary64)))
(* -1 (* x (+ (* 1/9 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1))))))
(-.f64 #s(literal 0 binary64) (*.f64 x (+.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (+.f64 (neg.f64 y) #s(literal 1 binary64))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) #s(literal -1/9 binary64)))))
(* -1 (* x (+ (* 1/9 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1))))))
(-.f64 #s(literal 0 binary64) (*.f64 x (+.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (+.f64 (neg.f64 y) #s(literal 1 binary64))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) #s(literal -1/9 binary64)))))
(* -1 (* x (+ (* 1/9 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1))))))
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(*.f64 (*.f64 #s(literal 1 binary64) (sqrt.f64 x)) (+.f64 (*.f64 (*.f64 y y) #s(literal 9 binary64)) #s(literal -9 binary64)))
(* -1 (* x (+ (* 2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- (* 9 (pow y 2)) 9))))))
(*.f64 (+.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) #s(literal -2 binary64)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 (*.f64 y y) #s(literal 9 binary64))) #s(literal 9 binary64)))) (neg.f64 x))
(* -1 (* x (+ (* -1 (/ (+ (* -2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/9 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))) x)) (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- (* 9 (pow y 2)) 9))))))
(-.f64 #s(literal 0 binary64) (*.f64 x (-.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 (*.f64 y y) #s(literal 9 binary64))) #s(literal 9 binary64))) (/.f64 (+.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) #s(literal -1/9 binary64)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))) x))))
(* -1 (* x (+ (* -1 (/ (+ (* -2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/9 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))) x)) (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- (* 9 (pow y 2)) 9))))))
(-.f64 #s(literal 0 binary64) (*.f64 x (-.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 (*.f64 y y) #s(literal 9 binary64))) #s(literal 9 binary64))) (/.f64 (+.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) #s(literal -1/9 binary64)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))) x))))
(* -1 (pow (- (* 1/3 (/ 1 x)) 3) 2))
(-.f64 #s(literal 0 binary64) (*.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64)) (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64))))
(- (* 9 (pow y 2)) (pow (- (* 1/3 (/ 1 x)) 3) 2))
(-.f64 (*.f64 (*.f64 y y) #s(literal 9 binary64)) (*.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64)) (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64))))
(- (* 9 (pow y 2)) (pow (- (* 1/3 (/ 1 x)) 3) 2))
(-.f64 (*.f64 (*.f64 y y) #s(literal 9 binary64)) (*.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64)) (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64))))
(- (* 9 (pow y 2)) (pow (- (* 1/3 (/ 1 x)) 3) 2))
(-.f64 (*.f64 (*.f64 y y) #s(literal 9 binary64)) (*.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64)) (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64))))
(* 9 (pow y 2))
(*.f64 (*.f64 y y) #s(literal 9 binary64))
(* (pow y 2) (+ 9 (* -1 (/ (pow (- (* 1/3 (/ 1 x)) 3) 2) (pow y 2)))))
(*.f64 (*.f64 y y) (-.f64 #s(literal 9 binary64) (/.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64)) (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64))) (*.f64 y y))))
(* (pow y 2) (+ 9 (* -1 (/ (pow (- (* 1/3 (/ 1 x)) 3) 2) (pow y 2)))))
(*.f64 (*.f64 y y) (-.f64 #s(literal 9 binary64) (/.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64)) (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64))) (*.f64 y y))))
(* (pow y 2) (+ 9 (* -1 (/ (pow (- (* 1/3 (/ 1 x)) 3) 2) (pow y 2)))))
(*.f64 (*.f64 y y) (-.f64 #s(literal 9 binary64) (/.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64)) (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64))) (*.f64 y y))))
(* 9 (pow y 2))
(*.f64 (*.f64 y y) #s(literal 9 binary64))
(* (pow y 2) (+ 9 (* -1 (/ (pow (- (* 1/3 (/ 1 x)) 3) 2) (pow y 2)))))
(*.f64 (*.f64 y y) (-.f64 #s(literal 9 binary64) (/.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64)) (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64))) (*.f64 y y))))
(* (pow y 2) (+ 9 (* -1 (/ (pow (- (* 1/3 (/ 1 x)) 3) 2) (pow y 2)))))
(*.f64 (*.f64 y y) (-.f64 #s(literal 9 binary64) (/.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64)) (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64))) (*.f64 y y))))
(* (pow y 2) (+ 9 (* -1 (/ (pow (- (* 1/3 (/ 1 x)) 3) 2) (pow y 2)))))
(*.f64 (*.f64 y y) (-.f64 #s(literal 9 binary64) (/.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64)) (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64))) (*.f64 y y))))
(/ -1/9 (pow x 2))
(/.f64 #s(literal -1/9 binary64) (*.f64 x x))
(/ (- (* 2 x) 1/9) (pow x 2))
(/.f64 (+.f64 (*.f64 x #s(literal 2 binary64)) #s(literal -1/9 binary64)) (*.f64 x x))
(/ (- (* x (+ 2 (* x (- (* 9 (pow y 2)) 9)))) 1/9) (pow x 2))
(/.f64 (+.f64 (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 x (+.f64 (*.f64 (*.f64 y y) #s(literal 9 binary64)) #s(literal -9 binary64))))) #s(literal -1/9 binary64)) (*.f64 x x))
(/ (- (* x (+ 2 (* x (- (* 9 (pow y 2)) 9)))) 1/9) (pow x 2))
(/.f64 (+.f64 (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 x (+.f64 (*.f64 (*.f64 y y) #s(literal 9 binary64)) #s(literal -9 binary64))))) #s(literal -1/9 binary64)) (*.f64 x x))
(- (* 9 (pow y 2)) 9)
(+.f64 (*.f64 (*.f64 y y) #s(literal 9 binary64)) #s(literal -9 binary64))
(- (+ (* 9 (pow y 2)) (* 2 (/ 1 x))) 9)
(+.f64 (*.f64 (*.f64 y y) #s(literal 9 binary64)) (+.f64 (/.f64 #s(literal 2 binary64) x) #s(literal -9 binary64)))
(- (+ (* 9 (pow y 2)) (* 2 (/ 1 x))) (+ 9 (/ 1/9 (pow x 2))))
(+.f64 (*.f64 (*.f64 y y) #s(literal 9 binary64)) (-.f64 (/.f64 #s(literal 2 binary64) x) (+.f64 #s(literal 9 binary64) (/.f64 #s(literal 1/9 binary64) (*.f64 x x)))))
(- (+ (* 9 (pow y 2)) (* 2 (/ 1 x))) (+ 9 (/ 1/9 (pow x 2))))
(+.f64 (*.f64 (*.f64 y y) #s(literal 9 binary64)) (-.f64 (/.f64 #s(literal 2 binary64) x) (+.f64 #s(literal 9 binary64) (/.f64 #s(literal 1/9 binary64) (*.f64 x x)))))
(- (* 9 (pow y 2)) 9)
(+.f64 (*.f64 (*.f64 y y) #s(literal 9 binary64)) #s(literal -9 binary64))
(- (+ (* 9 (pow y 2)) (* 2 (/ 1 x))) 9)
(+.f64 (*.f64 (*.f64 y y) #s(literal 9 binary64)) (+.f64 (/.f64 #s(literal 2 binary64) x) #s(literal -9 binary64)))
(- (+ (* -1 (/ (- (* 1/9 (/ 1 x)) 2) x)) (* 9 (pow y 2))) 9)
(+.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/9 binary64) x) #s(literal 2 binary64)) x) (+.f64 (*.f64 (*.f64 y y) #s(literal 9 binary64)) #s(literal -9 binary64)))
(- (+ (* -1 (/ (- (* 1/9 (/ 1 x)) 2) x)) (* 9 (pow y 2))) 9)
(+.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/9 binary64) x) #s(literal 2 binary64)) x) (+.f64 (*.f64 (*.f64 y y) #s(literal 9 binary64)) #s(literal -9 binary64)))
(/ -1/3 x)
(/.f64 #s(literal -1/3 binary64) x)
(/ -1/3 x)
(/.f64 #s(literal -1/3 binary64) x)
(/ -1/3 x)
(/.f64 #s(literal -1/3 binary64) x)
(/ -1/3 x)
(/.f64 #s(literal -1/3 binary64) x)
(/ -1/3 x)
(/.f64 #s(literal -1/3 binary64) x)
(/ -1/3 x)
(/.f64 #s(literal -1/3 binary64) x)
(/ -1/3 x)
(/.f64 #s(literal -1/3 binary64) x)
(/ -1/3 x)
(/.f64 #s(literal -1/3 binary64) x)
(/ -1/3 x)
(/.f64 #s(literal -1/3 binary64) x)
(/ -1/3 x)
(/.f64 #s(literal -1/3 binary64) x)
(/ -1/3 x)
(/.f64 #s(literal -1/3 binary64) x)
(/ -1/3 x)
(/.f64 #s(literal -1/3 binary64) x)

eval169.0ms (1.4%)

Compiler

Compiled 39086 to 3220 computations (91.8% saved)

prune413.0ms (3.5%)

Pruning

27 alts after pruning (25 fresh and 2 done)

PrunedKeptTotal
New1277171294
Fresh12820
Picked325
Done101
Total1293271320
Accuracy
100.0%
Counts
1320 → 27
Alt Table
Click to see full alt table
StatusAccuracyProgram
45.4%
(/.f64 (*.f64 (sqrt.f64 x) (+.f64 (*.f64 (*.f64 y y) #s(literal 9 binary64)) #s(literal -9 binary64))) (+.f64 #s(literal 3 binary64) (*.f64 #s(literal 3 binary64) y)))
38.4%
(/.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) y))
▶36.2%
(/.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) (*.f64 x #s(literal 9 binary64)))
36.2%
(/.f64 (*.f64 (sqrt.f64 x) #s(literal 1/3 binary64)) x)
▶99.4%
(/.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 3 binary64) y) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)))))
▶99.3%
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 y (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)))) (*.f64 (sqrt.f64 x) #s(literal 3 binary64))))
38.2%
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/9 binary64)) (/.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal -1/3 binary64) x)) y))) y))
48.3%
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 3 binary64) (*.f64 #s(literal 3 binary64) y))) (+.f64 (*.f64 (*.f64 y y) #s(literal 9 binary64)) #s(literal -9 binary64))))
36.2%
(/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal 3 binary64)))
38.4%
(/.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y)))
▶36.2%
(/.f64 #s(literal 1/3 binary64) (sqrt.f64 x))
36.2%
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1/3 binary64))
65.3%
(*.f64 (+.f64 (*.f64 y (*.f64 y #s(literal 9 binary64))) (*.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)) (+.f64 #s(literal 3 binary64) (/.f64 #s(literal -1/3 binary64) x)))) (/.f64 (sqrt.f64 x) (+.f64 (*.f64 y #s(literal 3 binary64)) (+.f64 #s(literal 3 binary64) (/.f64 #s(literal -1/3 binary64) x)))))
99.4%
(*.f64 (+.f64 y (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64))) (*.f64 (sqrt.f64 x) #s(literal 3 binary64)))
65.3%
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 y #s(literal 3 binary64)) (+.f64 #s(literal 3 binary64) (/.f64 #s(literal -1/3 binary64) x)))) (sqrt.f64 x)) (+.f64 (*.f64 y (*.f64 y #s(literal 9 binary64))) (*.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)) (+.f64 #s(literal 3 binary64) (/.f64 #s(literal -1/3 binary64) x)))))
✓99.4%
(*.f64 (*.f64 (sqrt.f64 x) (+.f64 y (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)))) #s(literal 3 binary64))
63.5%
(*.f64 (*.f64 (sqrt.f64 x) (+.f64 y #s(literal -1 binary64))) #s(literal 3 binary64))
▶38.5%
(*.f64 (*.f64 (sqrt.f64 x) y) #s(literal 3 binary64))
✓36.1%
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1/9 binary64) x))
61.9%
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)))
38.5%
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) y)
2.7%
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/3 binary64))
36.1%
(*.f64 (sqrt.f64 x) (/.f64 #s(literal 1/3 binary64) x))
61.9%
(*.f64 (sqrt.f64 x) (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64)))
63.6%
(*.f64 (sqrt.f64 x) (+.f64 (*.f64 #s(literal 3 binary64) y) #s(literal -3 binary64)))
38.5%
(*.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) y))
80.8%
(*.f64 y (*.f64 (sqrt.f64 x) (+.f64 #s(literal 3 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64)) y))))
Compiler

Compiled 704 to 525 computations (25.4% saved)

simplify184.0ms (1.6%)

Algorithm
1×egg-herbie
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(+.f64 y (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)))
✓cost-diff0
(/.f64 #s(literal 1 binary64) (+.f64 y (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64))))
✓cost-diff128
(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 y (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)))) (*.f64 (sqrt.f64 x) #s(literal 3 binary64)))
✓cost-diff256
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 y (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)))) (*.f64 (sqrt.f64 x) #s(literal 3 binary64))))
✓cost-diff0
(*.f64 x #s(literal 9 binary64))
✓cost-diff0
(sqrt.f64 x)
✓cost-diff0
(*.f64 (sqrt.f64 x) #s(literal 3 binary64))
✓cost-diff128
(/.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) (*.f64 x #s(literal 9 binary64)))
✓cost-diff0
(sqrt.f64 x)
✓cost-diff0
(*.f64 (sqrt.f64 x) y)
✓cost-diff0
(*.f64 (*.f64 (sqrt.f64 x) y) #s(literal 3 binary64))
✓cost-diff0
(sqrt.f64 x)
✓cost-diff0
(/.f64 #s(literal 1/3 binary64) (sqrt.f64 x))
✓cost-diff0
(+.f64 (*.f64 #s(literal 3 binary64) y) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)))
✓cost-diff0
(sqrt.f64 x)
✓cost-diff128
(/.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 3 binary64) y) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))))
✓cost-diff128
(/.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 3 binary64) y) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)))))
Rules
1688×fma-define
1668×*-lowering-*.f32
1668×*-lowering-*.f64
1552×sum4-define
1404×fma-lowering-fma.f32
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
028149
164144
2161143
3470142
41115142
51617142
62425142
73848142
86196142
08113142
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(/ (sqrt x) (/ 1 (+ (* 3 y) (+ -3 (/ 1/3 x)))))
(sqrt x)
x
(/ 1 (+ (* 3 y) (+ -3 (/ 1/3 x))))
1
(+ (* 3 y) (+ -3 (/ 1/3 x)))
(* 3 y)
3
y
(+ -3 (/ 1/3 x))
-3
(/ 1/3 x)
1/3
(/ 1/3 (sqrt x))
1/3
(sqrt x)
x
(* (* (sqrt x) y) 3)
(* (sqrt x) y)
(sqrt x)
x
y
3
(/ (* (sqrt x) 3) (* x 9))
(* (sqrt x) 3)
(sqrt x)
x
3
(* x 9)
9
(/ 1 (/ (/ 1 (+ y (+ (/ 1/9 x) -1))) (* (sqrt x) 3)))
1
(/ (/ 1 (+ y (+ (/ 1/9 x) -1))) (* (sqrt x) 3))
(/ 1 (+ y (+ (/ 1/9 x) -1)))
(+ y (+ (/ 1/9 x) -1))
y
(+ (/ 1/9 x) -1)
(/ 1/9 x)
1/9
x
-1
(* (sqrt x) 3)
(sqrt x)
3
Outputs
(/ (sqrt x) (/ 1 (+ (* 3 y) (+ -3 (/ 1/3 x)))))
(/.f64 (sqrt.f64 x) (/.f64 #s(literal 1/3 binary64) (-.f64 y (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)))))
(sqrt x)
(sqrt.f64 x)
x
(/ 1 (+ (* 3 y) (+ -3 (/ 1/3 x))))
(/.f64 #s(literal 1/3 binary64) (-.f64 y (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x))))
1
#s(literal 1 binary64)
(+ (* 3 y) (+ -3 (/ 1/3 x)))
(+.f64 (/.f64 y #s(literal 1/3 binary64)) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)))
(* 3 y)
(/.f64 y #s(literal 1/3 binary64))
3
#s(literal 3 binary64)
y
(+ -3 (/ 1/3 x))
(+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))
-3
#s(literal -3 binary64)
(/ 1/3 x)
(/.f64 #s(literal 1/3 binary64) x)
1/3
#s(literal 1/3 binary64)
(/ 1/3 (sqrt x))
(/.f64 #s(literal 1/3 binary64) (sqrt.f64 x))
1/3
#s(literal 1/3 binary64)
(sqrt x)
(sqrt.f64 x)
x
(* (* (sqrt x) y) 3)
(/.f64 y (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)))
(* (sqrt x) y)
(*.f64 (sqrt.f64 x) y)
(sqrt x)
(sqrt.f64 x)
x
y
3
#s(literal 3 binary64)
(/ (* (sqrt x) 3) (* x 9))
(/.f64 #s(literal 1/3 binary64) (/.f64 x (sqrt.f64 x)))
(* (sqrt x) 3)
(/.f64 (sqrt.f64 x) #s(literal 1/3 binary64))
(sqrt x)
(sqrt.f64 x)
x
3
#s(literal 3 binary64)
(* x 9)
(*.f64 x #s(literal 9 binary64))
9
#s(literal 9 binary64)
(/ 1 (/ (/ 1 (+ y (+ (/ 1/9 x) -1))) (* (sqrt x) 3)))
(/.f64 (sqrt.f64 x) (/.f64 #s(literal 1/3 binary64) (-.f64 y (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)))))
1
#s(literal 1 binary64)
(/ (/ 1 (+ y (+ (/ 1/9 x) -1))) (* (sqrt x) 3))
(/.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 x) (-.f64 y (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)))))
(/ 1 (+ y (+ (/ 1/9 x) -1)))
(/.f64 #s(literal 1 binary64) (-.f64 y (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x))))
(+ y (+ (/ 1/9 x) -1))
(-.f64 y (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)))
y
(+ (/ 1/9 x) -1)
(+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64))
(/ 1/9 x)
(/.f64 #s(literal 1/9 binary64) x)
1/9
#s(literal 1/9 binary64)
x
-1
#s(literal -1 binary64)
(* (sqrt x) 3)
(/.f64 (sqrt.f64 x) #s(literal 1/3 binary64))
(sqrt x)
(sqrt.f64 x)
3
#s(literal 3 binary64)

localize186.0ms (1.6%)

Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
✓accuracy99.6%
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 y (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)))) (*.f64 (sqrt.f64 x) #s(literal 3 binary64))))
✓accuracy99.5%
(/.f64 #s(literal 1/9 binary64) x)
✓accuracy99.5%
(*.f64 (sqrt.f64 x) #s(literal 3 binary64))
✓accuracy99.4%
(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 y (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)))) (*.f64 (sqrt.f64 x) #s(literal 3 binary64)))
✓accuracy100.0%
(*.f64 x #s(literal 9 binary64))
✓accuracy100.0%
(sqrt.f64 x)
✓accuracy99.5%
(*.f64 (sqrt.f64 x) #s(literal 3 binary64))
✓accuracy99.1%
(/.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) (*.f64 x #s(literal 9 binary64)))
✓accuracy100.0%
(sqrt.f64 x)
✓accuracy99.7%
(*.f64 (sqrt.f64 x) y)
✓accuracy99.5%
(*.f64 (*.f64 (sqrt.f64 x) y) #s(literal 3 binary64))
✓accuracy100.0%
(sqrt.f64 x)
✓accuracy99.4%
(/.f64 #s(literal 1/3 binary64) (sqrt.f64 x))
✓accuracy99.9%
(+.f64 (*.f64 #s(literal 3 binary64) y) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)))
✓accuracy99.7%
(/.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 3 binary64) y) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))))
✓accuracy99.5%
(/.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 3 binary64) y) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)))))
✓accuracy99.4%
(/.f64 #s(literal 1/3 binary64) x)
Results
88.0ms207×0valid
29.0ms21×2valid
24.0ms28×1valid
Compiler

Compiled 165 to 29 computations (82.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 55.0ms
ival-div: 19.0ms (34.4% of total)
...c/correct-round.rkt:119:19: 11.0ms (19.9% of total)
ival-mult: 10.0ms (18.1% of total)
ival-add: 6.0ms (10.9% of total)
backward-pass: 5.0ms (9.1% of total)
ival-sqrt: 3.0ms (5.4% of total)
const: 1.0ms (1.8% of total)

series18.0ms (0.2%)

Counts
16 → 300
Calls
Call 1
Inputs
#<alt (/ (sqrt x) (/ 1 (+ (* 3 y) (+ -3 (/ 1/3 x)))))>
#<alt (/ 1 (+ (* 3 y) (+ -3 (/ 1/3 x))))>
#<alt (sqrt x)>
#<alt (+ (* 3 y) (+ -3 (/ 1/3 x)))>
#<alt (/ 1/3 (sqrt x))>
#<alt (* (* (sqrt x) y) 3)>
#<alt (* (sqrt x) y)>
#<alt (/ (* (sqrt x) 3) (* x 9))>
#<alt (* (sqrt x) 3)>
#<alt (* x 9)>
#<alt (/ 1 (/ (/ 1 (+ y (+ (/ 1/9 x) -1))) (* (sqrt x) 3)))>
#<alt (/ (/ 1 (+ y (+ (/ 1/9 x) -1))) (* (sqrt x) 3))>
#<alt (/ 1 (+ y (+ (/ 1/9 x) -1)))>
#<alt (+ y (+ (/ 1/9 x) -1))>
#<alt (/ 1/3 x)>
#<alt (/ 1/9 x)>
Outputs
#<alt (* 1/3 (sqrt (/ 1 x)))>
#<alt (/ (+ (* 1/3 (sqrt x)) (* (sqrt (pow x 3)) (- (* 3 y) 3))) x)>
#<alt (/ (+ (* 1/3 (sqrt x)) (* (sqrt (pow x 3)) (- (* 3 y) 3))) x)>
#<alt (/ (+ (* 1/3 (sqrt x)) (* (sqrt (pow x 3)) (- (* 3 y) 3))) x)>
#<alt (* (sqrt x) (- (* 3 y) 3))>
#<alt (* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (- (* 3 y) 3))))>
#<alt (* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (- (* 3 y) 3))))>
#<alt (* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (- (* 3 y) 3))))>
#<alt (* -1 (* (sqrt x) (* (pow (sqrt -1) 2) (- (* 3 y) 3))))>
#<alt (* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- (* 3 y) 3))))))>
#<alt (* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- (* 3 y) 3))))))>
#<alt (* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- (* 3 y) 3))))))>
#<alt (* (sqrt x) (- (* 1/3 (/ 1 x)) 3))>
#<alt (+ (* 3 (* (sqrt x) y)) (* (sqrt x) (- (* 1/3 (/ 1 x)) 3)))>
#<alt (+ (* 3 (* (sqrt x) y)) (* (sqrt x) (- (* 1/3 (/ 1 x)) 3)))>
#<alt (+ (* 3 (* (sqrt x) y)) (* (sqrt x) (- (* 1/3 (/ 1 x)) 3)))>
#<alt (* 3 (* (sqrt x) y))>
#<alt (* y (+ (* 3 (sqrt x)) (* (sqrt x) (/ (- (* 1/3 (/ 1 x)) 3) y))))>
#<alt (* y (+ (* 3 (sqrt x)) (* (sqrt x) (/ (- (* 1/3 (/ 1 x)) 3) y))))>
#<alt (* y (+ (* 3 (sqrt x)) (* (sqrt x) (/ (- (* 1/3 (/ 1 x)) 3) y))))>
#<alt (* 3 (* (sqrt x) y))>
#<alt (* -1 (* y (+ (* -3 (sqrt x)) (* -1 (* (sqrt x) (/ (- (* 1/3 (/ 1 x)) 3) y))))))>
#<alt (* -1 (* y (+ (* -3 (sqrt x)) (* -1 (* (sqrt x) (/ (- (* 1/3 (/ 1 x)) 3) y))))))>
#<alt (* -1 (* y (+ (* -3 (sqrt x)) (* -1 (* (sqrt x) (/ (- (* 1/3 (/ 1 x)) 3) y))))))>
#<alt (/ 1 (- (* 1/3 (/ 1 x)) 3))>
#<alt (+ (* -3 (/ y (pow (- (* 1/3 (/ 1 x)) 3) 2))) (/ 1 (- (* 1/3 (/ 1 x)) 3)))>
#<alt (+ (* y (- (* 9 (/ y (pow (- (* 1/3 (/ 1 x)) 3) 3))) (* 3 (/ 1 (pow (- (* 1/3 (/ 1 x)) 3) 2))))) (/ 1 (- (* 1/3 (/ 1 x)) 3)))>
#<alt (+ (* y (- (* y (+ (* -27 (/ y (pow (- (* 1/3 (/ 1 x)) 3) 4))) (* 9 (/ 1 (pow (- (* 1/3 (/ 1 x)) 3) 3))))) (* 3 (/ 1 (pow (- (* 1/3 (/ 1 x)) 3) 2))))) (/ 1 (- (* 1/3 (/ 1 x)) 3)))>
#<alt (/ 1/3 y)>
#<alt (/ (+ 1/3 (* -1/9 (/ (- (* 1/3 (/ 1 x)) 3) y))) y)>
#<alt (/ (- (+ 1/3 (* 1/27 (/ (pow (- (* 1/3 (/ 1 x)) 3) 2) (pow y 2)))) (* 1/9 (/ (- (* 1/3 (/ 1 x)) 3) y))) y)>
#<alt (/ (- (+ 1/3 (* -1/81 (/ (pow (- (* 1/3 (/ 1 x)) 3) 3) (pow y 3)))) (+ (* -1/27 (/ (pow (- (* 1/3 (/ 1 x)) 3) 2) (pow y 2))) (* 1/9 (/ (- (* 1/3 (/ 1 x)) 3) y)))) y)>
#<alt (/ 1/3 y)>
#<alt (* -1 (/ (- (* 1/9 (/ (- (* 1/3 (/ 1 x)) 3) y)) 1/3) y))>
#<alt (* -1 (/ (- (* -1 (/ (- (* 1/27 (/ (pow (- (* 1/3 (/ 1 x)) 3) 2) y)) (* 1/9 (- (* 1/3 (/ 1 x)) 3))) y)) 1/3) y))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/81 (/ (pow (- (* 1/3 (/ 1 x)) 3) 3) y)) (* 1/27 (pow (- (* 1/3 (/ 1 x)) 3) 2))) y)) (* 1/9 (- (* 1/3 (/ 1 x)) 3))) y)) 1/3) y))>
#<alt (* 3 x)>
#<alt (* x (+ 3 (* -9 (* x (- (* 3 y) 3)))))>
#<alt (* x (+ 3 (* x (- (* 27 (* x (pow (- (* 3 y) 3) 2))) (* 9 (- (* 3 y) 3))))))>
#<alt (* x (+ 3 (* x (- (* x (- (* -81 (* x (pow (- (* 3 y) 3) 3))) (* -27 (pow (- (* 3 y) 3) 2)))) (* 9 (- (* 3 y) 3))))))>
#<alt (/ 1 (- (* 3 y) 3))>
#<alt (- (/ 1 (- (* 3 y) 3)) (* 1/3 (/ 1 (* x (pow (- (* 3 y) 3) 2)))))>
#<alt (- (+ (/ 1/9 (* (pow x 2) (pow (- (* 3 y) 3) 3))) (/ 1 (- (* 3 y) 3))) (/ 1/3 (* x (pow (- (* 3 y) 3) 2))))>
#<alt (- (+ (* 1/9 (/ 1 (* (pow x 2) (pow (- (* 3 y) 3) 3)))) (/ 1 (- (* 3 y) 3))) (+ (/ 1/3 (* x (pow (- (* 3 y) 3) 2))) (* 1/27 (/ 1 (* (pow x 3) (pow (- (* 3 y) 3) 4))))))>
#<alt (/ 1 (- (* 3 y) 3))>
#<alt (- (/ 1 (- (* 3 y) 3)) (* 1/3 (/ 1 (* x (pow (- (* 3 y) 3) 2)))))>
#<alt (+ (* -1 (/ (- (* 1/3 (/ 1 (pow (- (* 3 y) 3) 2))) (* 1/9 (/ 1 (* x (pow (- (* 3 y) 3) 3))))) x)) (/ 1 (- (* 3 y) 3)))>
#<alt (+ (* -1 (/ (+ (* -1 (/ (- (* 1/9 (/ 1 (pow (- (* 3 y) 3) 3))) (* 1/27 (/ 1 (* x (pow (- (* 3 y) 3) 4))))) x)) (* 1/3 (/ 1 (pow (- (* 3 y) 3) 2)))) x)) (/ 1 (- (* 3 y) 3)))>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (- (* 1/3 (/ 1 x)) 3)>
#<alt (- (+ (* 1/3 (/ 1 x)) (* 3 y)) 3)>
#<alt (- (+ (* 1/3 (/ 1 x)) (* 3 y)) 3)>
#<alt (- (+ (* 1/3 (/ 1 x)) (* 3 y)) 3)>
#<alt (* 3 y)>
#<alt (* y (- (+ 3 (/ 1/3 (* x y))) (* 3 (/ 1 y))))>
#<alt (* y (- (+ 3 (/ 1/3 (* x y))) (* 3 (/ 1 y))))>
#<alt (* y (- (+ 3 (/ 1/3 (* x y))) (* 3 (/ 1 y))))>
#<alt (* 3 y)>
#<alt (* -1 (* y (- (* -1 (/ (- (* 1/3 (/ 1 x)) 3) y)) 3)))>
#<alt (* -1 (* y (- (* -1 (/ (- (* 1/3 (/ 1 x)) 3) y)) 3)))>
#<alt (* -1 (* y (- (* -1 (/ (- (* 1/3 (/ 1 x)) 3) y)) 3)))>
#<alt (/ 1/3 x)>
#<alt (/ (+ 1/3 (* x (- (* 3 y) 3))) x)>
#<alt (/ (+ 1/3 (* x (- (* 3 y) 3))) x)>
#<alt (/ (+ 1/3 (* x (- (* 3 y) 3))) x)>
#<alt (- (* 3 y) 3)>
#<alt (- (+ (* 3 y) (* 1/3 (/ 1 x))) 3)>
#<alt (- (+ (* 3 y) (* 1/3 (/ 1 x))) 3)>
#<alt (- (+ (* 3 y) (* 1/3 (/ 1 x))) 3)>
#<alt (- (* 3 y) 3)>
#<alt (- (+ (* 3 y) (* 1/3 (/ 1 x))) 3)>
#<alt (- (+ (* 3 y) (* 1/3 (/ 1 x))) 3)>
#<alt (- (+ (* 3 y) (* 1/3 (/ 1 x))) 3)>
#<alt (* 1/3 (sqrt (/ 1 x)))>
#<alt (* 1/3 (sqrt (/ 1 x)))>
#<alt (* 1/3 (sqrt (/ 1 x)))>
#<alt (* 1/3 (sqrt (/ 1 x)))>
#<alt (* 1/3 (sqrt (/ 1 x)))>
#<alt (* 1/3 (sqrt (/ 1 x)))>
#<alt (* 1/3 (sqrt (/ 1 x)))>
#<alt (* 1/3 (sqrt (/ 1 x)))>
#<alt (* 1/3 (sqrt (/ 1 x)))>
#<alt (* 1/3 (sqrt (/ 1 x)))>
#<alt (* 1/3 (sqrt (/ 1 x)))>
#<alt (* 1/3 (sqrt (/ 1 x)))>
#<alt (* 3 (* (sqrt x) y))>
#<alt (* 3 (* (sqrt x) y))>
#<alt (* 3 (* (sqrt x) y))>
#<alt (* 3 (* (sqrt x) y))>
#<alt (* 3 (* (sqrt x) y))>
#<alt (* 3 (* (sqrt x) y))>
#<alt (* 3 (* (sqrt x) y))>
#<alt (* 3 (* (sqrt x) y))>
#<alt (* -3 (* (sqrt x) (* y (pow (sqrt -1) 2))))>
#<alt (* -3 (* (sqrt x) (* y (pow (sqrt -1) 2))))>
#<alt (* -3 (* (sqrt x) (* y (pow (sqrt -1) 2))))>
#<alt (* -3 (* (sqrt x) (* y (pow (sqrt -1) 2))))>
#<alt (* 3 (* (sqrt x) y))>
#<alt (* 3 (* (sqrt x) y))>
#<alt (* 3 (* (sqrt x) y))>
#<alt (* 3 (* (sqrt x) y))>
#<alt (* 3 (* (sqrt x) y))>
#<alt (* 3 (* (sqrt x) y))>
#<alt (* 3 (* (sqrt x) y))>
#<alt (* 3 (* (sqrt x) y))>
#<alt (* 3 (* (sqrt x) y))>
#<alt (* 3 (* (sqrt x) y))>
#<alt (* 3 (* (sqrt x) y))>
#<alt (* 3 (* (sqrt x) y))>
#<alt (* (sqrt x) y)>
#<alt (* (sqrt x) y)>
#<alt (* (sqrt x) y)>
#<alt (* (sqrt x) y)>
#<alt (* (sqrt x) y)>
#<alt (* (sqrt x) y)>
#<alt (* (sqrt x) y)>
#<alt (* (sqrt x) y)>
#<alt (* -1 (* (sqrt x) (* y (pow (sqrt -1) 2))))>
#<alt (* -1 (* (sqrt x) (* y (pow (sqrt -1) 2))))>
#<alt (* -1 (* (sqrt x) (* y (pow (sqrt -1) 2))))>
#<alt (* -1 (* (sqrt x) (* y (pow (sqrt -1) 2))))>
#<alt (* (sqrt x) y)>
#<alt (* (sqrt x) y)>
#<alt (* (sqrt x) y)>
#<alt (* (sqrt x) y)>
#<alt (* (sqrt x) y)>
#<alt (* (sqrt x) y)>
#<alt (* (sqrt x) y)>
#<alt (* (sqrt x) y)>
#<alt (* (sqrt x) y)>
#<alt (* (sqrt x) y)>
#<alt (* (sqrt x) y)>
#<alt (* (sqrt x) y)>
#<alt (* 1/3 (sqrt (/ 1 x)))>
#<alt (* 1/3 (sqrt (/ 1 x)))>
#<alt (* 1/3 (sqrt (/ 1 x)))>
#<alt (* 1/3 (sqrt (/ 1 x)))>
#<alt (* 1/3 (sqrt (/ 1 x)))>
#<alt (* 1/3 (sqrt (/ 1 x)))>
#<alt (* 1/3 (sqrt (/ 1 x)))>
#<alt (* 1/3 (sqrt (/ 1 x)))>
#<alt (* -1/3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))>
#<alt (* -1/3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))>
#<alt (* -1/3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))>
#<alt (* -1/3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))>
#<alt (* 3 (sqrt x))>
#<alt (* 3 (sqrt x))>
#<alt (* 3 (sqrt x))>
#<alt (* 3 (sqrt x))>
#<alt (* 3 (sqrt x))>
#<alt (* 3 (sqrt x))>
#<alt (* 3 (sqrt x))>
#<alt (* 3 (sqrt x))>
#<alt (* -3 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* -3 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* -3 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* -3 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* 9 x)>
#<alt (* 9 x)>
#<alt (* 9 x)>
#<alt (* 9 x)>
#<alt (* 9 x)>
#<alt (* 9 x)>
#<alt (* 9 x)>
#<alt (* 9 x)>
#<alt (* 9 x)>
#<alt (* 9 x)>
#<alt (* 9 x)>
#<alt (* 9 x)>
#<alt (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1)))>
#<alt (+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1))))>
#<alt (+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1))))>
#<alt (+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1))))>
#<alt (* 3 (* (sqrt x) y))>
#<alt (* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))>
#<alt (* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))>
#<alt (* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))>
#<alt (* 3 (* (sqrt x) y))>
#<alt (* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))))>
#<alt (* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))))>
#<alt (* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))))>
#<alt (* 1/3 (sqrt (/ 1 x)))>
#<alt (/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) (- y 1)))) x)>
#<alt (/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) (- y 1)))) x)>
#<alt (/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) (- y 1)))) x)>
#<alt (* 3 (* (sqrt x) (- y 1)))>
#<alt (* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) (- y 1)))))>
#<alt (* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) (- y 1)))))>
#<alt (* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) (- y 1)))))>
#<alt (* -3 (* (sqrt x) (* (pow (sqrt -1) 2) (- y 1))))>
#<alt (* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1)))))))>
#<alt (* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1)))))))>
#<alt (* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1)))))))>
#<alt (* 1/3 (* (sqrt (/ 1 x)) (/ 1 (- (* 1/9 (/ 1 x)) 1))))>
#<alt (+ (* -1/3 (* (sqrt (/ 1 x)) (/ y (pow (- (* 1/9 (/ 1 x)) 1) 2)))) (* 1/3 (* (sqrt (/ 1 x)) (/ 1 (- (* 1/9 (/ 1 x)) 1)))))>
#<alt (+ (* 1/3 (* (sqrt (/ 1 x)) (/ 1 (- (* 1/9 (/ 1 x)) 1)))) (* y (+ (* -1/3 (* (sqrt (/ 1 x)) (/ 1 (pow (- (* 1/9 (/ 1 x)) 1) 2)))) (* 1/3 (* (sqrt (/ 1 x)) (/ y (pow (- (* 1/9 (/ 1 x)) 1) 3)))))))>
#<alt (+ (* 1/3 (* (sqrt (/ 1 x)) (/ 1 (- (* 1/9 (/ 1 x)) 1)))) (* y (+ (* -1/3 (* (sqrt (/ 1 x)) (/ 1 (pow (- (* 1/9 (/ 1 x)) 1) 2)))) (* y (+ (* -1/3 (* (sqrt (/ 1 x)) (/ y (pow (- (* 1/9 (/ 1 x)) 1) 4)))) (* 1/3 (* (sqrt (/ 1 x)) (/ 1 (pow (- (* 1/9 (/ 1 x)) 1) 3)))))))))>
#<alt (* 1/3 (* (sqrt (/ 1 x)) (/ 1 y)))>
#<alt (/ (+ (* 1/3 (sqrt (/ 1 x))) (* 1/3 (* (sqrt (/ 1 x)) (/ (- 1 (* 1/9 (/ 1 x))) y)))) y)>
#<alt (/ (+ (* -1/3 (* (sqrt (/ 1 x)) (/ (* (- 1 (* 1/9 (/ 1 x))) (- (* 1/9 (/ 1 x)) 1)) (pow y 2)))) (+ (* 1/3 (sqrt (/ 1 x))) (* 1/3 (* (sqrt (/ 1 x)) (/ (- 1 (* 1/9 (/ 1 x))) y))))) y)>
#<alt (/ (+ (* -1/3 (* (sqrt (/ 1 x)) (/ (* (- 1 (* 1/9 (/ 1 x))) (- (* 1/9 (/ 1 x)) 1)) (pow y 2)))) (+ (* 1/3 (sqrt (/ 1 x))) (+ (* 1/3 (* (sqrt (/ 1 x)) (/ (* (- 1 (* 1/9 (/ 1 x))) (pow (- (* 1/9 (/ 1 x)) 1) 2)) (pow y 3)))) (* 1/3 (* (sqrt (/ 1 x)) (/ (- 1 (* 1/9 (/ 1 x))) y)))))) y)>
#<alt (* 1/3 (* (sqrt (/ 1 x)) (/ 1 y)))>
#<alt (* -1 (/ (+ (* -1/3 (sqrt (/ 1 x))) (* -1/3 (* (sqrt (/ 1 x)) (/ (- 1 (* 1/9 (/ 1 x))) y)))) y))>
#<alt (* -1 (/ (+ (* -1 (/ (+ (* -1/3 (* (sqrt (/ 1 x)) (/ (* (- 1 (* 1/9 (/ 1 x))) (- (* 1/9 (/ 1 x)) 1)) y))) (* 1/3 (* (sqrt (/ 1 x)) (- 1 (* 1/9 (/ 1 x)))))) y)) (* -1/3 (sqrt (/ 1 x)))) y))>
#<alt (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/3 (* (sqrt (/ 1 x)) (/ (* (- 1 (* 1/9 (/ 1 x))) (pow (- (* 1/9 (/ 1 x)) 1) 2)) y))) (* 1/3 (* (sqrt (/ 1 x)) (* (- 1 (* 1/9 (/ 1 x))) (- (* 1/9 (/ 1 x)) 1))))) y)) (* 1/3 (* (sqrt (/ 1 x)) (- 1 (* 1/9 (/ 1 x)))))) y)) (* -1/3 (sqrt (/ 1 x)))) y))>
#<alt (* 3 (sqrt x))>
#<alt (+ (* -27 (* (sqrt (pow x 3)) (- y 1))) (* 3 (sqrt x)))>
#<alt (+ (* 3 (sqrt x)) (* x (+ (* -27 (* (sqrt x) (- y 1))) (* 243 (* (sqrt (pow x 3)) (pow (- y 1) 2))))))>
#<alt (+ (* 3 (sqrt x)) (* x (+ (* -27 (* (sqrt x) (- y 1))) (* x (+ (* -2187 (* (sqrt (pow x 3)) (pow (- y 1) 3))) (* 243 (* (sqrt x) (pow (- y 1) 2))))))))>
#<alt (* 1/3 (* (sqrt (/ 1 x)) (/ 1 (- y 1))))>
#<alt (+ (* -1/27 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (- y 1) 2)))) (* 1/3 (* (sqrt (/ 1 x)) (/ 1 (- y 1)))))>
#<alt (+ (* -1/27 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (- y 1) 2)))) (+ (* 1/243 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (- y 1) 3)))) (* 1/3 (* (sqrt (/ 1 x)) (/ 1 (- y 1))))))>
#<alt (+ (* -1/27 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (- y 1) 2)))) (+ (* -1/2187 (* (sqrt (/ 1 (pow x 7))) (/ 1 (pow (- y 1) 4)))) (+ (* 1/243 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (- y 1) 3)))) (* 1/3 (* (sqrt (/ 1 x)) (/ 1 (- y 1)))))))>
#<alt (* 1/3 (* (sqrt (/ 1 x)) (/ 1 (- y 1))))>
#<alt (+ (* -1/27 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (- y 1) 2)))) (* 1/3 (* (sqrt (/ 1 x)) (/ 1 (- y 1)))))>
#<alt (+ (* -1 (/ (+ (* -1/243 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (- y 1) 3)))) (* 1/27 (* (sqrt (/ 1 x)) (/ 1 (pow (- y 1) 2))))) x)) (* 1/3 (* (sqrt (/ 1 x)) (/ 1 (- y 1)))))>
#<alt (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2187 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (- y 1) 4)))) (* 1/243 (* (sqrt (/ 1 x)) (/ 1 (pow (- y 1) 3))))) x)) (* 1/27 (* (sqrt (/ 1 x)) (/ 1 (pow (- y 1) 2))))) x)) (* 1/3 (* (sqrt (/ 1 x)) (/ 1 (- y 1)))))>
#<alt (/ 1 (- (* 1/9 (/ 1 x)) 1))>
#<alt (+ (* -1 (/ y (pow (- (* 1/9 (/ 1 x)) 1) 2))) (/ 1 (- (* 1/9 (/ 1 x)) 1)))>
#<alt (+ (* y (- (/ y (pow (- (* 1/9 (/ 1 x)) 1) 3)) (/ 1 (pow (- (* 1/9 (/ 1 x)) 1) 2)))) (/ 1 (- (* 1/9 (/ 1 x)) 1)))>
#<alt (+ (* y (- (* y (+ (* -1 (/ y (pow (- (* 1/9 (/ 1 x)) 1) 4))) (/ 1 (pow (- (* 1/9 (/ 1 x)) 1) 3)))) (/ 1 (pow (- (* 1/9 (/ 1 x)) 1) 2)))) (/ 1 (- (* 1/9 (/ 1 x)) 1)))>
#<alt (/ 1 y)>
#<alt (/ (- (+ 1 (/ 1 y)) (/ 1/9 (* x y))) y)>
#<alt (/ (- (+ 1 (+ (* -1 (/ (* (- 1 (* 1/9 (/ 1 x))) (- (* 1/9 (/ 1 x)) 1)) (pow y 2))) (/ 1 y))) (/ 1/9 (* x y))) y)>
#<alt (/ (- (+ 1 (+ (/ 1 y) (/ (* (- 1 (* 1/9 (/ 1 x))) (pow (- (* 1/9 (/ 1 x)) 1) 2)) (pow y 3)))) (+ (/ 1/9 (* x y)) (/ (* (- 1 (* 1/9 (/ 1 x))) (- (* 1/9 (/ 1 x)) 1)) (pow y 2)))) y)>
#<alt (/ 1 y)>
#<alt (* -1 (/ (- (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) 1) y))>
#<alt (* -1 (/ (- (* -1 (/ (- (+ 1 (* -1 (/ (* (- 1 (* 1/9 (/ 1 x))) (- (* 1/9 (/ 1 x)) 1)) y))) (* 1/9 (/ 1 x))) y)) 1) y))>
#<alt (* -1 (/ (- (* -1 (/ (- (+ 1 (* -1 (/ (- (* -1 (/ (* (- 1 (* 1/9 (/ 1 x))) (pow (- (* 1/9 (/ 1 x)) 1) 2)) y)) (* -1 (* (- 1 (* 1/9 (/ 1 x))) (- (* 1/9 (/ 1 x)) 1)))) y))) (* 1/9 (/ 1 x))) y)) 1) y))>
#<alt (* 9 x)>
#<alt (* x (+ 9 (* -81 (* x (- y 1)))))>
#<alt (* x (+ 9 (* x (- (* 729 (* x (pow (- y 1) 2))) (* 81 (- y 1))))))>
#<alt (* x (+ 9 (* x (- (* x (- (* -6561 (* x (pow (- y 1) 3))) (* -729 (pow (- y 1) 2)))) (* 81 (- y 1))))))>
#<alt (/ 1 (- y 1))>
#<alt (- (/ 1 (- y 1)) (* 1/9 (/ 1 (* x (pow (- y 1) 2)))))>
#<alt (- (+ (/ 1/81 (* (pow x 2) (pow (- y 1) 3))) (/ 1 (- y 1))) (/ 1/9 (* x (pow (- y 1) 2))))>
#<alt (- (+ (* 1/81 (/ 1 (* (pow x 2) (pow (- y 1) 3)))) (/ 1 (- y 1))) (+ (/ 1/9 (* x (pow (- y 1) 2))) (* 1/729 (/ 1 (* (pow x 3) (pow (- y 1) 4))))))>
#<alt (/ 1 (- y 1))>
#<alt (- (/ 1 (- y 1)) (* 1/9 (/ 1 (* x (pow (- y 1) 2)))))>
#<alt (+ (* -1 (/ (- (* 1/9 (/ 1 (pow (- y 1) 2))) (* 1/81 (/ 1 (* x (pow (- y 1) 3))))) x)) (/ 1 (- y 1)))>
#<alt (+ (* -1 (/ (+ (* -1 (/ (- (* 1/81 (/ 1 (pow (- y 1) 3))) (* 1/729 (/ 1 (* x (pow (- y 1) 4))))) x)) (* 1/9 (/ 1 (pow (- y 1) 2)))) x)) (/ 1 (- y 1)))>
#<alt (- (* 1/9 (/ 1 x)) 1)>
#<alt (- (+ y (* 1/9 (/ 1 x))) 1)>
#<alt (- (+ y (* 1/9 (/ 1 x))) 1)>
#<alt (- (+ y (* 1/9 (/ 1 x))) 1)>
#<alt y>
#<alt (* y (- (+ 1 (/ 1/9 (* x y))) (/ 1 y)))>
#<alt (* y (- (+ 1 (/ 1/9 (* x y))) (/ 1 y)))>
#<alt (* y (- (+ 1 (/ 1/9 (* x y))) (/ 1 y)))>
#<alt y>
#<alt (* -1 (* y (- (* -1 (/ (- (* 1/9 (/ 1 x)) 1) y)) 1)))>
#<alt (* -1 (* y (- (* -1 (/ (- (* 1/9 (/ 1 x)) 1) y)) 1)))>
#<alt (* -1 (* y (- (* -1 (/ (- (* 1/9 (/ 1 x)) 1) y)) 1)))>
#<alt (/ 1/9 x)>
#<alt (/ (+ 1/9 (* x (- y 1))) x)>
#<alt (/ (+ 1/9 (* x (- y 1))) x)>
#<alt (/ (+ 1/9 (* x (- y 1))) x)>
#<alt (- y 1)>
#<alt (- (+ y (* 1/9 (/ 1 x))) 1)>
#<alt (- (+ y (* 1/9 (/ 1 x))) 1)>
#<alt (- (+ y (* 1/9 (/ 1 x))) 1)>
#<alt (- y 1)>
#<alt (- (+ y (* 1/9 (/ 1 x))) 1)>
#<alt (- (+ y (* 1/9 (/ 1 x))) 1)>
#<alt (- (+ y (* 1/9 (/ 1 x))) 1)>
#<alt (/ 1/3 x)>
#<alt (/ 1/3 x)>
#<alt (/ 1/3 x)>
#<alt (/ 1/3 x)>
#<alt (/ 1/3 x)>
#<alt (/ 1/3 x)>
#<alt (/ 1/3 x)>
#<alt (/ 1/3 x)>
#<alt (/ 1/3 x)>
#<alt (/ 1/3 x)>
#<alt (/ 1/3 x)>
#<alt (/ 1/3 x)>
#<alt (/ 1/9 x)>
#<alt (/ 1/9 x)>
#<alt (/ 1/9 x)>
#<alt (/ 1/9 x)>
#<alt (/ 1/9 x)>
#<alt (/ 1/9 x)>
#<alt (/ 1/9 x)>
#<alt (/ 1/9 x)>
#<alt (/ 1/9 x)>
#<alt (/ 1/9 x)>
#<alt (/ 1/9 x)>
#<alt (/ 1/9 x)>
Calls

75 calls:

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

rewrite385.0ms (3.3%)

Algorithm
1×batch-egg-rewrite
Rules
4254×/-lowering-/.f32
4254×/-lowering-/.f64
3846×*-lowering-*.f32
3846×*-lowering-*.f64
1772×+-lowering-+.f64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
028104
117396
2142396
0843496
Stop Event
1×iter limit
1×node limit
Counts
16 → 805
Calls
Call 1
Inputs
(/ (sqrt x) (/ 1 (+ (* 3 y) (+ -3 (/ 1/3 x)))))
(/ 1 (+ (* 3 y) (+ -3 (/ 1/3 x))))
(sqrt x)
(+ (* 3 y) (+ -3 (/ 1/3 x)))
(/ 1/3 (sqrt x))
(* (* (sqrt x) y) 3)
(* (sqrt x) y)
(/ (* (sqrt x) 3) (* x 9))
(* (sqrt x) 3)
(* x 9)
(/ 1 (/ (/ 1 (+ y (+ (/ 1/9 x) -1))) (* (sqrt x) 3)))
(/ (/ 1 (+ y (+ (/ 1/9 x) -1))) (* (sqrt x) 3))
(/ 1 (+ y (+ (/ 1/9 x) -1)))
(+ y (+ (/ 1/9 x) -1))
(/ 1/3 x)
(/ 1/9 x)
Outputs
(+.f64 (*.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) y)) (*.f64 (sqrt.f64 x) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))))
(+.f64 (*.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) y)) (*.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)) (sqrt.f64 x)))
(+.f64 (*.f64 (sqrt.f64 x) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))) (*.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) y)))
(+.f64 (*.f64 (sqrt.f64 x) (+.f64 (*.f64 #s(literal 3 binary64) y) #s(literal -3 binary64))) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)))
(+.f64 (*.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)) (sqrt.f64 x)) (*.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) y)))
(+.f64 (*.f64 (+.f64 (*.f64 #s(literal 3 binary64) y) #s(literal -3 binary64)) (sqrt.f64 x)) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) (+.f64 (*.f64 #s(literal 3 binary64) y) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)))))) #s(literal -1 binary64)))
(exp.f64 (-.f64 (*.f64 (log.f64 x) #s(literal 1/2 binary64)) (*.f64 (log.f64 (+.f64 (*.f64 #s(literal 3 binary64) y) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)))) #s(literal -1 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) (+.f64 (*.f64 #s(literal 3 binary64) y) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))))) (/.f64 (sqrt.f64 x) (/.f64 #s(literal -1 binary64) (+.f64 (*.f64 #s(literal 3 binary64) y) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))))))
(fma.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) y) (*.f64 (sqrt.f64 x) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))))
(fma.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) y) (*.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)) (sqrt.f64 x)))
(fma.f64 (sqrt.f64 x) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)) (*.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) y)))
(fma.f64 (sqrt.f64 x) (+.f64 (*.f64 #s(literal 3 binary64) y) #s(literal -3 binary64)) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)))
(fma.f64 #s(literal 3 binary64) (*.f64 (sqrt.f64 x) y) (*.f64 (sqrt.f64 x) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))))
(fma.f64 #s(literal 3 binary64) (*.f64 (sqrt.f64 x) y) (*.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)) (sqrt.f64 x)))
(fma.f64 y (/.f64 (sqrt.f64 x) #s(literal 1/3 binary64)) (*.f64 (sqrt.f64 x) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))))
(fma.f64 y (/.f64 (sqrt.f64 x) #s(literal 1/3 binary64)) (*.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)) (sqrt.f64 x)))
(fma.f64 (*.f64 #s(literal 3 binary64) y) (sqrt.f64 x) (*.f64 (sqrt.f64 x) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))))
(fma.f64 (*.f64 #s(literal 3 binary64) y) (sqrt.f64 x) (*.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)) (sqrt.f64 x)))
(fma.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)) (sqrt.f64 x) (*.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) y)))
(fma.f64 (*.f64 (sqrt.f64 x) y) #s(literal 3 binary64) (*.f64 (sqrt.f64 x) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))))
(fma.f64 (*.f64 (sqrt.f64 x) y) #s(literal 3 binary64) (*.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)) (sqrt.f64 x)))
(fma.f64 (/.f64 (sqrt.f64 x) #s(literal 1/3 binary64)) y (*.f64 (sqrt.f64 x) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))))
(fma.f64 (/.f64 (sqrt.f64 x) #s(literal 1/3 binary64)) y (*.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)) (sqrt.f64 x)))
(fma.f64 (+.f64 (*.f64 #s(literal 3 binary64) y) #s(literal -3 binary64)) (sqrt.f64 x) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)))
(neg.f64 (/.f64 (sqrt.f64 x) (/.f64 #s(literal -1 binary64) (+.f64 (*.f64 #s(literal 3 binary64) y) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))))))
(/.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 3 binary64) y) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) (+.f64 (*.f64 #s(literal 3 binary64) y) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) (+.f64 (*.f64 #s(literal 3 binary64) y) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 #s(literal 9 binary64) (*.f64 y y)) (*.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)) (-.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)) (*.f64 #s(literal 3 binary64) y)))) (*.f64 (sqrt.f64 x) (+.f64 (*.f64 (*.f64 y (*.f64 y y)) #s(literal 27 binary64)) (*.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)) (*.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 9 binary64) (*.f64 y y)) (*.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)) (-.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)) (*.f64 #s(literal 3 binary64) y))))) (*.f64 (sqrt.f64 x) (+.f64 (*.f64 (*.f64 y (*.f64 y y)) #s(literal 27 binary64)) (*.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)) (*.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 3 binary64) y) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))) (*.f64 (sqrt.f64 x) (-.f64 (*.f64 #s(literal 9 binary64) (*.f64 y y)) (*.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1 binary64) (-.f64 (*.f64 #s(literal 3 binary64) y) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)))) (*.f64 (sqrt.f64 x) (-.f64 (*.f64 #s(literal 9 binary64) (*.f64 y y)) (*.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) (+.f64 (*.f64 #s(literal 3 binary64) y) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)))))))
(/.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 x)) (/.f64 #s(literal -1 binary64) (+.f64 (*.f64 #s(literal 3 binary64) y) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)))))
(/.f64 (*.f64 (sqrt.f64 x) (+.f64 (*.f64 (*.f64 y (*.f64 y y)) #s(literal 27 binary64)) (*.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)) (*.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)))))) (+.f64 (*.f64 #s(literal 9 binary64) (*.f64 y y)) (*.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)) (-.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)) (*.f64 #s(literal 3 binary64) y)))))
(/.f64 (*.f64 (sqrt.f64 x) (+.f64 (*.f64 (*.f64 y (*.f64 y y)) #s(literal 27 binary64)) (*.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)) (*.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)))))) (*.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 9 binary64) (*.f64 y y)) (*.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)) (-.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)) (*.f64 #s(literal 3 binary64) y))))))
(/.f64 (*.f64 (sqrt.f64 x) (-.f64 (*.f64 #s(literal 9 binary64) (*.f64 y y)) (*.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))))) (-.f64 (*.f64 #s(literal 3 binary64) y) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))))
(/.f64 (*.f64 (sqrt.f64 x) (-.f64 (*.f64 #s(literal 9 binary64) (*.f64 y y)) (*.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))))) (*.f64 #s(literal 1 binary64) (-.f64 (*.f64 #s(literal 3 binary64) y) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 x))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 3 binary64) y) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)))))
(/.f64 (*.f64 (sqrt.f64 x) (+.f64 (*.f64 #s(literal 3 binary64) y) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)))) #s(literal 1 binary64))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 x)))) (/.f64 #s(literal -1 binary64) (+.f64 (*.f64 #s(literal 3 binary64) y) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)))))
(/.f64 (neg.f64 (*.f64 (sqrt.f64 x) (+.f64 (*.f64 (*.f64 y (*.f64 y y)) #s(literal 27 binary64)) (*.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)) (*.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))))))) (neg.f64 (+.f64 (*.f64 #s(literal 9 binary64) (*.f64 y y)) (*.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)) (-.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)) (*.f64 #s(literal 3 binary64) y))))))
(/.f64 (neg.f64 (*.f64 (sqrt.f64 x) (+.f64 (*.f64 (*.f64 y (*.f64 y y)) #s(literal 27 binary64)) (*.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)) (*.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))))))) (neg.f64 (*.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 9 binary64) (*.f64 y y)) (*.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)) (-.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)) (*.f64 #s(literal 3 binary64) y)))))))
(/.f64 (neg.f64 (*.f64 (sqrt.f64 x) (-.f64 (*.f64 #s(literal 9 binary64) (*.f64 y y)) (*.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)))))) (neg.f64 (-.f64 (*.f64 #s(literal 3 binary64) y) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)))))
(/.f64 (neg.f64 (*.f64 (sqrt.f64 x) (-.f64 (*.f64 #s(literal 9 binary64) (*.f64 y y)) (*.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)))))) (neg.f64 (*.f64 #s(literal 1 binary64) (-.f64 (*.f64 #s(literal 3 binary64) y) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))))))
(/.f64 (neg.f64 (*.f64 (sqrt.f64 x) (+.f64 (*.f64 #s(literal 3 binary64) y) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))))) #s(literal -1 binary64))
(/.f64 (+.f64 (pow.f64 (*.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) y)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sqrt.f64 x) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))) #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) y)) (*.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) y))) (-.f64 (*.f64 (*.f64 (sqrt.f64 x) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))) (*.f64 (sqrt.f64 x) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)))) (*.f64 (*.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) y)) (*.f64 (sqrt.f64 x) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)))))))
(/.f64 (+.f64 (pow.f64 (*.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) y)) #s(literal 3 binary64)) (pow.f64 (*.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)) (sqrt.f64 x)) #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) y)) (*.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) y))) (-.f64 (*.f64 (*.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)) (sqrt.f64 x)) (*.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)) (sqrt.f64 x))) (*.f64 (*.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) y)) (*.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)) (sqrt.f64 x))))))
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(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 y y) (-.f64 y (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)) (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64))) (-.f64 y (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)))) #s(literal 3 binary64))) (+.f64 (*.f64 (/.f64 (*.f64 y y) (-.f64 y (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)))) (/.f64 (*.f64 y y) (-.f64 y (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64))))) (+.f64 (*.f64 (/.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)) (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64))) (-.f64 y (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)))) (/.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)) (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64))) (-.f64 y (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64))))) (*.f64 (/.f64 (*.f64 y y) (-.f64 y (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)))) (/.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)) (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64))) (-.f64 y (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64))))))))
(pow.f64 (+.f64 y (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64))) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 y (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (+.f64 y (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64))))
(*.f64 #s(literal -1 binary64) (+.f64 (neg.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x))) #s(literal 1 binary64)))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 y (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64))))))
(*.f64 #s(literal -1 binary64) (pow.f64 (+.f64 (neg.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x))) #s(literal 1 binary64)) #s(literal 1 binary64)))
(*.f64 (+.f64 y (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64))) #s(literal 1 binary64))
(*.f64 (+.f64 y (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64))) (/.f64 (-.f64 y (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64))) (-.f64 y (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)))))
(*.f64 (+.f64 (neg.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x))) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 (+.f64 (*.f64 y (*.f64 y y)) (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)) (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)) (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 y y) (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)) (-.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)) y)))))
(*.f64 (+.f64 (*.f64 y (*.f64 y y)) (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)) (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)) (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)) (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64))) (-.f64 (*.f64 y y) (*.f64 y (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)))))))
(*.f64 (+.f64 (*.f64 y (*.f64 y y)) (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)) (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)) (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64))))) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 1 binary64) (+.f64 (*.f64 y y) (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)) (-.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)) y))))))
(*.f64 (*.f64 (+.f64 y (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64))) (-.f64 y (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 y (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)))))
(*.f64 (*.f64 (+.f64 y (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64))) (-.f64 y (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 1 binary64) (-.f64 y (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64))))))
(*.f64 (neg.f64 (+.f64 (*.f64 y (*.f64 y y)) (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)) (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)) (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)))))) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 (*.f64 y y) (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)) (-.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)) y))))))
(*.f64 (neg.f64 (*.f64 (+.f64 y (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64))) (-.f64 y (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64))))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 y (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64))))))
(*.f64 (+.f64 (*.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) (*.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) (+.f64 y (/.f64 #s(literal 1/9 binary64) x)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) (+.f64 y (/.f64 #s(literal 1/9 binary64) x))) (-.f64 #s(literal 1 binary64) (*.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal -1 binary64))))))
(*.f64 (-.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)) (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64))) (*.f64 y y)) (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)) y)))
(*.f64 (-.f64 (*.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) (+.f64 y (/.f64 #s(literal 1/9 binary64) x))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal -1 binary64))))
(*.f64 (pow.f64 (+.f64 (*.f64 y (*.f64 y y)) (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)) (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)) (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64))))) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 y y) (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)) (-.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)) y)))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (*.f64 (+.f64 y (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64))) (-.f64 y (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)))) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 y (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (pow.f64 (+.f64 y (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64))) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (+.f64 y (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64))) #s(literal -1/2 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 y (*.f64 y y)) (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)) (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)) (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 y y) (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)) (-.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)) y)))))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 y (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64))) (-.f64 y (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 y (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)))))
(*.f64 (/.f64 (+.f64 (*.f64 y y) (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)) (-.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)) y))) #s(literal 1 binary64)) (/.f64 (+.f64 y (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64))) (+.f64 (*.f64 y y) (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)) (-.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)) y)))))
(exp.f64 (*.f64 (log.f64 (/.f64 x #s(literal 1/3 binary64))) #s(literal -1 binary64)))
(neg.f64 (/.f64 #s(literal -1/3 binary64) x))
(/.f64 #s(literal 1 binary64) (/.f64 x #s(literal 1/3 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 x #s(literal 1/3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 9 binary64) (/.f64 #s(literal 3 binary64) x)))
(/.f64 #s(literal 3 binary64) (/.f64 x #s(literal 1/9 binary64)))
(/.f64 #s(literal 3 binary64) (neg.f64 (*.f64 x #s(literal -9 binary64))))
(/.f64 #s(literal -3 binary64) (*.f64 x #s(literal -9 binary64)))
(/.f64 #s(literal 1/3 binary64) x)
(/.f64 #s(literal 1/3 binary64) (neg.f64 (-.f64 #s(literal 0 binary64) x)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 x #s(literal 1/3 binary64))))
(/.f64 #s(literal -1/3 binary64) (-.f64 #s(literal 0 binary64) x))
(/.f64 #s(literal -1/3 binary64) (neg.f64 (neg.f64 (-.f64 #s(literal 0 binary64) x))))
(/.f64 (/.f64 #s(literal 3 binary64) x) #s(literal 9 binary64))
(/.f64 (neg.f64 (/.f64 #s(literal 3 binary64) x)) #s(literal -9 binary64))
(pow.f64 (/.f64 x #s(literal 1/3 binary64)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) x))
(*.f64 #s(literal 3 binary64) (/.f64 #s(literal 1/9 binary64) x))
(*.f64 #s(literal -3 binary64) (/.f64 #s(literal -1/9 binary64) x))
(*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) x))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 x #s(literal 1/3 binary64)))))
(*.f64 #s(literal -1/3 binary64) (/.f64 #s(literal -1 binary64) x))
(*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/3 binary64))
(*.f64 (/.f64 #s(literal 3 binary64) x) #s(literal 1/9 binary64))
(exp.f64 (*.f64 (log.f64 (/.f64 x #s(literal 1/9 binary64))) #s(literal -1 binary64)))
(neg.f64 (/.f64 #s(literal -1/9 binary64) x))
(/.f64 #s(literal 1 binary64) (/.f64 x #s(literal 1/9 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 x #s(literal -9 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 9 binary64) (/.f64 #s(literal 1 binary64) x)))
(/.f64 #s(literal 1/9 binary64) x)
(/.f64 #s(literal 1/9 binary64) (neg.f64 (-.f64 #s(literal 0 binary64) x)))
(/.f64 #s(literal -1 binary64) (*.f64 x #s(literal -9 binary64)))
(/.f64 #s(literal -1/9 binary64) (-.f64 #s(literal 0 binary64) x))
(/.f64 #s(literal -1/9 binary64) (neg.f64 (neg.f64 (-.f64 #s(literal 0 binary64) x))))
(/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 9 binary64))
(/.f64 (neg.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -9 binary64))
(pow.f64 (/.f64 x #s(literal 1/9 binary64)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x))
(*.f64 #s(literal 1/9 binary64) (/.f64 #s(literal 1 binary64) x))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/9 binary64) x))
(*.f64 #s(literal -1/9 binary64) (/.f64 #s(literal -1 binary64) x))
(*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/9 binary64))

simplify311.0ms (2.7%)

Algorithm
1×egg-herbie
Rules
5332×*-lowering-*.f32
5332×*-lowering-*.f64
1798×+-lowering-+.f64
1798×+-lowering-+.f32
1470×/-lowering-/.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
05273374
116773143
253033071
083293071
Stop Event
1×iter limit
1×node limit
Counts
300 → 300
Calls
Call 1
Inputs
(* 1/3 (sqrt (/ 1 x)))
(/ (+ (* 1/3 (sqrt x)) (* (sqrt (pow x 3)) (- (* 3 y) 3))) x)
(/ (+ (* 1/3 (sqrt x)) (* (sqrt (pow x 3)) (- (* 3 y) 3))) x)
(/ (+ (* 1/3 (sqrt x)) (* (sqrt (pow x 3)) (- (* 3 y) 3))) x)
(* (sqrt x) (- (* 3 y) 3))
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (- (* 3 y) 3))))
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (- (* 3 y) 3))))
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (- (* 3 y) 3))))
(* -1 (* (sqrt x) (* (pow (sqrt -1) 2) (- (* 3 y) 3))))
(* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- (* 3 y) 3))))))
(* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- (* 3 y) 3))))))
(* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- (* 3 y) 3))))))
(* (sqrt x) (- (* 1/3 (/ 1 x)) 3))
(+ (* 3 (* (sqrt x) y)) (* (sqrt x) (- (* 1/3 (/ 1 x)) 3)))
(+ (* 3 (* (sqrt x) y)) (* (sqrt x) (- (* 1/3 (/ 1 x)) 3)))
(+ (* 3 (* (sqrt x) y)) (* (sqrt x) (- (* 1/3 (/ 1 x)) 3)))
(* 3 (* (sqrt x) y))
(* y (+ (* 3 (sqrt x)) (* (sqrt x) (/ (- (* 1/3 (/ 1 x)) 3) y))))
(* y (+ (* 3 (sqrt x)) (* (sqrt x) (/ (- (* 1/3 (/ 1 x)) 3) y))))
(* y (+ (* 3 (sqrt x)) (* (sqrt x) (/ (- (* 1/3 (/ 1 x)) 3) y))))
(* 3 (* (sqrt x) y))
(* -1 (* y (+ (* -3 (sqrt x)) (* -1 (* (sqrt x) (/ (- (* 1/3 (/ 1 x)) 3) y))))))
(* -1 (* y (+ (* -3 (sqrt x)) (* -1 (* (sqrt x) (/ (- (* 1/3 (/ 1 x)) 3) y))))))
(* -1 (* y (+ (* -3 (sqrt x)) (* -1 (* (sqrt x) (/ (- (* 1/3 (/ 1 x)) 3) y))))))
(/ 1 (- (* 1/3 (/ 1 x)) 3))
(+ (* -3 (/ y (pow (- (* 1/3 (/ 1 x)) 3) 2))) (/ 1 (- (* 1/3 (/ 1 x)) 3)))
(+ (* y (- (* 9 (/ y (pow (- (* 1/3 (/ 1 x)) 3) 3))) (* 3 (/ 1 (pow (- (* 1/3 (/ 1 x)) 3) 2))))) (/ 1 (- (* 1/3 (/ 1 x)) 3)))
(+ (* y (- (* y (+ (* -27 (/ y (pow (- (* 1/3 (/ 1 x)) 3) 4))) (* 9 (/ 1 (pow (- (* 1/3 (/ 1 x)) 3) 3))))) (* 3 (/ 1 (pow (- (* 1/3 (/ 1 x)) 3) 2))))) (/ 1 (- (* 1/3 (/ 1 x)) 3)))
(/ 1/3 y)
(/ (+ 1/3 (* -1/9 (/ (- (* 1/3 (/ 1 x)) 3) y))) y)
(/ (- (+ 1/3 (* 1/27 (/ (pow (- (* 1/3 (/ 1 x)) 3) 2) (pow y 2)))) (* 1/9 (/ (- (* 1/3 (/ 1 x)) 3) y))) y)
(/ (- (+ 1/3 (* -1/81 (/ (pow (- (* 1/3 (/ 1 x)) 3) 3) (pow y 3)))) (+ (* -1/27 (/ (pow (- (* 1/3 (/ 1 x)) 3) 2) (pow y 2))) (* 1/9 (/ (- (* 1/3 (/ 1 x)) 3) y)))) y)
(/ 1/3 y)
(* -1 (/ (- (* 1/9 (/ (- (* 1/3 (/ 1 x)) 3) y)) 1/3) y))
(* -1 (/ (- (* -1 (/ (- (* 1/27 (/ (pow (- (* 1/3 (/ 1 x)) 3) 2) y)) (* 1/9 (- (* 1/3 (/ 1 x)) 3))) y)) 1/3) y))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/81 (/ (pow (- (* 1/3 (/ 1 x)) 3) 3) y)) (* 1/27 (pow (- (* 1/3 (/ 1 x)) 3) 2))) y)) (* 1/9 (- (* 1/3 (/ 1 x)) 3))) y)) 1/3) y))
(* 3 x)
(* x (+ 3 (* -9 (* x (- (* 3 y) 3)))))
(* x (+ 3 (* x (- (* 27 (* x (pow (- (* 3 y) 3) 2))) (* 9 (- (* 3 y) 3))))))
(* x (+ 3 (* x (- (* x (- (* -81 (* x (pow (- (* 3 y) 3) 3))) (* -27 (pow (- (* 3 y) 3) 2)))) (* 9 (- (* 3 y) 3))))))
(/ 1 (- (* 3 y) 3))
(- (/ 1 (- (* 3 y) 3)) (* 1/3 (/ 1 (* x (pow (- (* 3 y) 3) 2)))))
(- (+ (/ 1/9 (* (pow x 2) (pow (- (* 3 y) 3) 3))) (/ 1 (- (* 3 y) 3))) (/ 1/3 (* x (pow (- (* 3 y) 3) 2))))
(- (+ (* 1/9 (/ 1 (* (pow x 2) (pow (- (* 3 y) 3) 3)))) (/ 1 (- (* 3 y) 3))) (+ (/ 1/3 (* x (pow (- (* 3 y) 3) 2))) (* 1/27 (/ 1 (* (pow x 3) (pow (- (* 3 y) 3) 4))))))
(/ 1 (- (* 3 y) 3))
(- (/ 1 (- (* 3 y) 3)) (* 1/3 (/ 1 (* x (pow (- (* 3 y) 3) 2)))))
(+ (* -1 (/ (- (* 1/3 (/ 1 (pow (- (* 3 y) 3) 2))) (* 1/9 (/ 1 (* x (pow (- (* 3 y) 3) 3))))) x)) (/ 1 (- (* 3 y) 3)))
(+ (* -1 (/ (+ (* -1 (/ (- (* 1/9 (/ 1 (pow (- (* 3 y) 3) 3))) (* 1/27 (/ 1 (* x (pow (- (* 3 y) 3) 4))))) x)) (* 1/3 (/ 1 (pow (- (* 3 y) 3) 2)))) x)) (/ 1 (- (* 3 y) 3)))
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(- (* 1/3 (/ 1 x)) 3)
(- (+ (* 1/3 (/ 1 x)) (* 3 y)) 3)
(- (+ (* 1/3 (/ 1 x)) (* 3 y)) 3)
(- (+ (* 1/3 (/ 1 x)) (* 3 y)) 3)
(* 3 y)
(* y (- (+ 3 (/ 1/3 (* x y))) (* 3 (/ 1 y))))
(* y (- (+ 3 (/ 1/3 (* x y))) (* 3 (/ 1 y))))
(* y (- (+ 3 (/ 1/3 (* x y))) (* 3 (/ 1 y))))
(* 3 y)
(* -1 (* y (- (* -1 (/ (- (* 1/3 (/ 1 x)) 3) y)) 3)))
(* -1 (* y (- (* -1 (/ (- (* 1/3 (/ 1 x)) 3) y)) 3)))
(* -1 (* y (- (* -1 (/ (- (* 1/3 (/ 1 x)) 3) y)) 3)))
(/ 1/3 x)
(/ (+ 1/3 (* x (- (* 3 y) 3))) x)
(/ (+ 1/3 (* x (- (* 3 y) 3))) x)
(/ (+ 1/3 (* x (- (* 3 y) 3))) x)
(- (* 3 y) 3)
(- (+ (* 3 y) (* 1/3 (/ 1 x))) 3)
(- (+ (* 3 y) (* 1/3 (/ 1 x))) 3)
(- (+ (* 3 y) (* 1/3 (/ 1 x))) 3)
(- (* 3 y) 3)
(- (+ (* 3 y) (* 1/3 (/ 1 x))) 3)
(- (+ (* 3 y) (* 1/3 (/ 1 x))) 3)
(- (+ (* 3 y) (* 1/3 (/ 1 x))) 3)
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(* 1/3 (sqrt (/ 1 x)))
(* 1/3 (sqrt (/ 1 x)))
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(* 1/3 (sqrt (/ 1 x)))
(* 1/3 (sqrt (/ 1 x)))
(* 1/3 (sqrt (/ 1 x)))
(* 1/3 (sqrt (/ 1 x)))
(* 1/3 (sqrt (/ 1 x)))
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(* 3 (* (sqrt x) y))
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(* 3 (* (sqrt x) y))
(* 3 (* (sqrt x) y))
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(* -3 (* (sqrt x) (* y (pow (sqrt -1) 2))))
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(* -3 (* (sqrt x) (* y (pow (sqrt -1) 2))))
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(* 3 (* (sqrt x) y))
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(* 3 (* (sqrt x) y))
(* 3 (* (sqrt x) y))
(* 3 (* (sqrt x) y))
(* 3 (* (sqrt x) y))
(* 3 (* (sqrt x) y))
(* 3 (* (sqrt x) y))
(* (sqrt x) y)
(* (sqrt x) y)
(* (sqrt x) y)
(* (sqrt x) y)
(* (sqrt x) y)
(* (sqrt x) y)
(* (sqrt x) y)
(* (sqrt x) y)
(* -1 (* (sqrt x) (* y (pow (sqrt -1) 2))))
(* -1 (* (sqrt x) (* y (pow (sqrt -1) 2))))
(* -1 (* (sqrt x) (* y (pow (sqrt -1) 2))))
(* -1 (* (sqrt x) (* y (pow (sqrt -1) 2))))
(* (sqrt x) y)
(* (sqrt x) y)
(* (sqrt x) y)
(* (sqrt x) y)
(* (sqrt x) y)
(* (sqrt x) y)
(* (sqrt x) y)
(* (sqrt x) y)
(* (sqrt x) y)
(* (sqrt x) y)
(* (sqrt x) y)
(* (sqrt x) y)
(* 1/3 (sqrt (/ 1 x)))
(* 1/3 (sqrt (/ 1 x)))
(* 1/3 (sqrt (/ 1 x)))
(* 1/3 (sqrt (/ 1 x)))
(* 1/3 (sqrt (/ 1 x)))
(* 1/3 (sqrt (/ 1 x)))
(* 1/3 (sqrt (/ 1 x)))
(* 1/3 (sqrt (/ 1 x)))
(* -1/3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))
(* -1/3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))
(* -1/3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))
(* -1/3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))
(* 3 (sqrt x))
(* 3 (sqrt x))
(* 3 (sqrt x))
(* 3 (sqrt x))
(* 3 (sqrt x))
(* 3 (sqrt x))
(* 3 (sqrt x))
(* 3 (sqrt x))
(* -3 (* (sqrt x) (pow (sqrt -1) 2)))
(* -3 (* (sqrt x) (pow (sqrt -1) 2)))
(* -3 (* (sqrt x) (pow (sqrt -1) 2)))
(* -3 (* (sqrt x) (pow (sqrt -1) 2)))
(* 9 x)
(* 9 x)
(* 9 x)
(* 9 x)
(* 9 x)
(* 9 x)
(* 9 x)
(* 9 x)
(* 9 x)
(* 9 x)
(* 9 x)
(* 9 x)
(* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1)))
(+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1))))
(+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1))))
(+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1))))
(* 3 (* (sqrt x) y))
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(* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))
(* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))
(* 3 (* (sqrt x) y))
(* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))))
(* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))))
(* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))))
(* 1/3 (sqrt (/ 1 x)))
(/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) (- y 1)))) x)
(/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) (- y 1)))) x)
(/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) (- y 1)))) x)
(* 3 (* (sqrt x) (- y 1)))
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) (- y 1)))))
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) (- y 1)))))
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) (- y 1)))))
(* -3 (* (sqrt x) (* (pow (sqrt -1) 2) (- y 1))))
(* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1)))))))
(* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1)))))))
(* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1)))))))
(* 1/3 (* (sqrt (/ 1 x)) (/ 1 (- (* 1/9 (/ 1 x)) 1))))
(+ (* -1/3 (* (sqrt (/ 1 x)) (/ y (pow (- (* 1/9 (/ 1 x)) 1) 2)))) (* 1/3 (* (sqrt (/ 1 x)) (/ 1 (- (* 1/9 (/ 1 x)) 1)))))
(+ (* 1/3 (* (sqrt (/ 1 x)) (/ 1 (- (* 1/9 (/ 1 x)) 1)))) (* y (+ (* -1/3 (* (sqrt (/ 1 x)) (/ 1 (pow (- (* 1/9 (/ 1 x)) 1) 2)))) (* 1/3 (* (sqrt (/ 1 x)) (/ y (pow (- (* 1/9 (/ 1 x)) 1) 3)))))))
(+ (* 1/3 (* (sqrt (/ 1 x)) (/ 1 (- (* 1/9 (/ 1 x)) 1)))) (* y (+ (* -1/3 (* (sqrt (/ 1 x)) (/ 1 (pow (- (* 1/9 (/ 1 x)) 1) 2)))) (* y (+ (* -1/3 (* (sqrt (/ 1 x)) (/ y (pow (- (* 1/9 (/ 1 x)) 1) 4)))) (* 1/3 (* (sqrt (/ 1 x)) (/ 1 (pow (- (* 1/9 (/ 1 x)) 1) 3)))))))))
(* 1/3 (* (sqrt (/ 1 x)) (/ 1 y)))
(/ (+ (* 1/3 (sqrt (/ 1 x))) (* 1/3 (* (sqrt (/ 1 x)) (/ (- 1 (* 1/9 (/ 1 x))) y)))) y)
(/ (+ (* -1/3 (* (sqrt (/ 1 x)) (/ (* (- 1 (* 1/9 (/ 1 x))) (- (* 1/9 (/ 1 x)) 1)) (pow y 2)))) (+ (* 1/3 (sqrt (/ 1 x))) (* 1/3 (* (sqrt (/ 1 x)) (/ (- 1 (* 1/9 (/ 1 x))) y))))) y)
(/ (+ (* -1/3 (* (sqrt (/ 1 x)) (/ (* (- 1 (* 1/9 (/ 1 x))) (- (* 1/9 (/ 1 x)) 1)) (pow y 2)))) (+ (* 1/3 (sqrt (/ 1 x))) (+ (* 1/3 (* (sqrt (/ 1 x)) (/ (* (- 1 (* 1/9 (/ 1 x))) (pow (- (* 1/9 (/ 1 x)) 1) 2)) (pow y 3)))) (* 1/3 (* (sqrt (/ 1 x)) (/ (- 1 (* 1/9 (/ 1 x))) y)))))) y)
(* 1/3 (* (sqrt (/ 1 x)) (/ 1 y)))
(* -1 (/ (+ (* -1/3 (sqrt (/ 1 x))) (* -1/3 (* (sqrt (/ 1 x)) (/ (- 1 (* 1/9 (/ 1 x))) y)))) y))
(* -1 (/ (+ (* -1 (/ (+ (* -1/3 (* (sqrt (/ 1 x)) (/ (* (- 1 (* 1/9 (/ 1 x))) (- (* 1/9 (/ 1 x)) 1)) y))) (* 1/3 (* (sqrt (/ 1 x)) (- 1 (* 1/9 (/ 1 x)))))) y)) (* -1/3 (sqrt (/ 1 x)))) y))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/3 (* (sqrt (/ 1 x)) (/ (* (- 1 (* 1/9 (/ 1 x))) (pow (- (* 1/9 (/ 1 x)) 1) 2)) y))) (* 1/3 (* (sqrt (/ 1 x)) (* (- 1 (* 1/9 (/ 1 x))) (- (* 1/9 (/ 1 x)) 1))))) y)) (* 1/3 (* (sqrt (/ 1 x)) (- 1 (* 1/9 (/ 1 x)))))) y)) (* -1/3 (sqrt (/ 1 x)))) y))
(* 3 (sqrt x))
(+ (* -27 (* (sqrt (pow x 3)) (- y 1))) (* 3 (sqrt x)))
(+ (* 3 (sqrt x)) (* x (+ (* -27 (* (sqrt x) (- y 1))) (* 243 (* (sqrt (pow x 3)) (pow (- y 1) 2))))))
(+ (* 3 (sqrt x)) (* x (+ (* -27 (* (sqrt x) (- y 1))) (* x (+ (* -2187 (* (sqrt (pow x 3)) (pow (- y 1) 3))) (* 243 (* (sqrt x) (pow (- y 1) 2))))))))
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(+ (* -1/27 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (- y 1) 2)))) (+ (* 1/243 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (- y 1) 3)))) (* 1/3 (* (sqrt (/ 1 x)) (/ 1 (- y 1))))))
(+ (* -1/27 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (- y 1) 2)))) (+ (* -1/2187 (* (sqrt (/ 1 (pow x 7))) (/ 1 (pow (- y 1) 4)))) (+ (* 1/243 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (- y 1) 3)))) (* 1/3 (* (sqrt (/ 1 x)) (/ 1 (- y 1)))))))
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(/ 1 y)
(/ (- (+ 1 (/ 1 y)) (/ 1/9 (* x y))) y)
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(/ (- (+ 1 (+ (/ 1 y) (/ (* (- 1 (* 1/9 (/ 1 x))) (pow (- (* 1/9 (/ 1 x)) 1) 2)) (pow y 3)))) (+ (/ 1/9 (* x y)) (/ (* (- 1 (* 1/9 (/ 1 x))) (- (* 1/9 (/ 1 x)) 1)) (pow y 2)))) y)
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(* -1 (/ (- (* -1 (/ (- (+ 1 (* -1 (/ (* (- 1 (* 1/9 (/ 1 x))) (- (* 1/9 (/ 1 x)) 1)) y))) (* 1/9 (/ 1 x))) y)) 1) y))
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(* 9 x)
(* x (+ 9 (* -81 (* x (- y 1)))))
(* x (+ 9 (* x (- (* 729 (* x (pow (- y 1) 2))) (* 81 (- y 1))))))
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(/ 1 (- y 1))
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(- (* 1/9 (/ 1 x)) 1)
(- (+ y (* 1/9 (/ 1 x))) 1)
(- (+ y (* 1/9 (/ 1 x))) 1)
(- (+ y (* 1/9 (/ 1 x))) 1)
y
(* y (- (+ 1 (/ 1/9 (* x y))) (/ 1 y)))
(* y (- (+ 1 (/ 1/9 (* x y))) (/ 1 y)))
(* y (- (+ 1 (/ 1/9 (* x y))) (/ 1 y)))
y
(* -1 (* y (- (* -1 (/ (- (* 1/9 (/ 1 x)) 1) y)) 1)))
(* -1 (* y (- (* -1 (/ (- (* 1/9 (/ 1 x)) 1) y)) 1)))
(* -1 (* y (- (* -1 (/ (- (* 1/9 (/ 1 x)) 1) y)) 1)))
(/ 1/9 x)
(/ (+ 1/9 (* x (- y 1))) x)
(/ (+ 1/9 (* x (- y 1))) x)
(/ (+ 1/9 (* x (- y 1))) x)
(- y 1)
(- (+ y (* 1/9 (/ 1 x))) 1)
(- (+ y (* 1/9 (/ 1 x))) 1)
(- (+ y (* 1/9 (/ 1 x))) 1)
(- y 1)
(- (+ y (* 1/9 (/ 1 x))) 1)
(- (+ y (* 1/9 (/ 1 x))) 1)
(- (+ y (* 1/9 (/ 1 x))) 1)
(/ 1/3 x)
(/ 1/3 x)
(/ 1/3 x)
(/ 1/3 x)
(/ 1/3 x)
(/ 1/3 x)
(/ 1/3 x)
(/ 1/3 x)
(/ 1/3 x)
(/ 1/3 x)
(/ 1/3 x)
(/ 1/3 x)
(/ 1/9 x)
(/ 1/9 x)
(/ 1/9 x)
(/ 1/9 x)
(/ 1/9 x)
(/ 1/9 x)
(/ 1/9 x)
(/ 1/9 x)
(/ 1/9 x)
(/ 1/9 x)
(/ 1/9 x)
(/ 1/9 x)
Outputs
(* 1/3 (sqrt (/ 1 x)))
(*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(/ (+ (* 1/3 (sqrt x)) (* (sqrt (pow x 3)) (- (* 3 y) 3))) x)
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(/ (+ (* 1/3 (sqrt x)) (* (sqrt (pow x 3)) (- (* 3 y) 3))) x)
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(/ (+ (* 1/3 (sqrt x)) (* (sqrt (pow x 3)) (- (* 3 y) 3))) x)
(/.f64 (+.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (*.f64 (sqrt.f64 (*.f64 x (*.f64 x x))) (+.f64 (*.f64 #s(literal 3 binary64) y) #s(literal -3 binary64)))) x)
(* (sqrt x) (- (* 3 y) 3))
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(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (- (* 3 y) 3))))
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(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (- (* 3 y) 3))))
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(* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- (* 3 y) 3))))))
(*.f64 (+.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) x)) #s(literal -1/3 binary64)) (neg.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (+.f64 (*.f64 #s(literal 3 binary64) y) #s(literal -3 binary64))))) (-.f64 #s(literal 0 binary64) x))
(* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- (* 3 y) 3))))))
(*.f64 (+.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) x)) #s(literal -1/3 binary64)) (neg.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (+.f64 (*.f64 #s(literal 3 binary64) y) #s(literal -3 binary64))))) (-.f64 #s(literal 0 binary64) x))
(* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- (* 3 y) 3))))))
(*.f64 (+.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) x)) #s(literal -1/3 binary64)) (neg.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (+.f64 (*.f64 #s(literal 3 binary64) y) #s(literal -3 binary64))))) (-.f64 #s(literal 0 binary64) x))
(* (sqrt x) (- (* 1/3 (/ 1 x)) 3))
(*.f64 (sqrt.f64 x) (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64)))
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(+.f64 (*.f64 (sqrt.f64 x) (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64))) (*.f64 #s(literal 3 binary64) (*.f64 (sqrt.f64 x) y)))
(* 3 (* (sqrt x) y))
(*.f64 #s(literal 3 binary64) (*.f64 (sqrt.f64 x) y))
(* y (+ (* 3 (sqrt x)) (* (sqrt x) (/ (- (* 1/3 (/ 1 x)) 3) y))))
(*.f64 y (*.f64 (sqrt.f64 x) (+.f64 #s(literal 3 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64)) y))))
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(*.f64 y (*.f64 (sqrt.f64 x) (+.f64 #s(literal 3 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64)) y))))
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(*.f64 y (*.f64 (sqrt.f64 x) (+.f64 #s(literal 3 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64)) y))))
(* 3 (* (sqrt x) y))
(*.f64 #s(literal 3 binary64) (*.f64 (sqrt.f64 x) y))
(* -1 (* y (+ (* -3 (sqrt x)) (* -1 (* (sqrt x) (/ (- (* 1/3 (/ 1 x)) 3) y))))))
(*.f64 y (*.f64 (sqrt.f64 x) (+.f64 #s(literal 3 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64)) y))))
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(*.f64 y (*.f64 (sqrt.f64 x) (+.f64 #s(literal 3 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64)) y))))
(/ 1 (- (* 1/3 (/ 1 x)) 3))
(/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64)))
(+ (* -3 (/ y (pow (- (* 1/3 (/ 1 x)) 3) 2))) (/ 1 (- (* 1/3 (/ 1 x)) 3)))
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64))) (/.f64 (/.f64 (*.f64 y #s(literal -3 binary64)) (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64))) (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64))))
(+ (* y (- (* 9 (/ y (pow (- (* 1/3 (/ 1 x)) 3) 3))) (* 3 (/ 1 (pow (- (* 1/3 (/ 1 x)) 3) 2))))) (/ 1 (- (* 1/3 (/ 1 x)) 3)))
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(/ (- (+ 1 (+ (* -1 (/ (* (- 1 (* 1/9 (/ 1 x))) (- (* 1/9 (/ 1 x)) 1)) (pow y 2))) (/ 1 y))) (/ 1/9 (* x y))) y)
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(/ (- (+ 1 (+ (/ 1 y) (/ (* (- 1 (* 1/9 (/ 1 x))) (pow (- (* 1/9 (/ 1 x)) 1) 2)) (pow y 3)))) (+ (/ 1/9 (* x y)) (/ (* (- 1 (* 1/9 (/ 1 x))) (- (* 1/9 (/ 1 x)) 1)) (pow y 2)))) y)
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(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(* -1 (/ (- (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) 1) y))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)) y)) y)
(* -1 (/ (- (* -1 (/ (- (+ 1 (* -1 (/ (* (- 1 (* 1/9 (/ 1 x))) (- (* 1/9 (/ 1 x)) 1)) y))) (* 1/9 (/ 1 x))) y)) 1) y))
(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 (/.f64 (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/9 binary64) x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x))) y) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/9 binary64) x))) y)) (-.f64 #s(literal 0 binary64) y))
(* -1 (/ (- (* -1 (/ (- (+ 1 (* -1 (/ (- (* -1 (/ (* (- 1 (* 1/9 (/ 1 x))) (pow (- (* 1/9 (/ 1 x)) 1) 2)) y)) (* -1 (* (- 1 (* 1/9 (/ 1 x))) (- (* 1/9 (/ 1 x)) 1)))) y))) (* 1/9 (/ 1 x))) y)) 1) y))
(-.f64 #s(literal 0 binary64) (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)) (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/9 binary64) x)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/9 binary64) x))) y) (/.f64 #s(literal -1/9 binary64) x)))) y) (/.f64 #s(literal -1/9 binary64) x))) y)) y))
(* 9 x)
(*.f64 x #s(literal 9 binary64))
(* x (+ 9 (* -81 (* x (- y 1)))))
(*.f64 x (+.f64 #s(literal 9 binary64) (*.f64 #s(literal -81 binary64) (*.f64 x (+.f64 y #s(literal -1 binary64))))))
(* x (+ 9 (* x (- (* 729 (* x (pow (- y 1) 2))) (* 81 (- y 1))))))
(*.f64 x (+.f64 #s(literal 9 binary64) (*.f64 x (+.f64 (*.f64 (*.f64 (+.f64 y #s(literal -1 binary64)) (+.f64 y #s(literal -1 binary64))) (*.f64 x #s(literal 729 binary64))) (+.f64 (*.f64 y #s(literal -81 binary64)) #s(literal 81 binary64))))))
(* x (+ 9 (* x (- (* x (- (* -6561 (* x (pow (- y 1) 3))) (* -729 (pow (- y 1) 2)))) (* 81 (- y 1))))))
(*.f64 x (+.f64 #s(literal 9 binary64) (*.f64 x (+.f64 (*.f64 x (+.f64 (*.f64 #s(literal -6561 binary64) (*.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 x (*.f64 (+.f64 y #s(literal -1 binary64)) (+.f64 y #s(literal -1 binary64)))))) (*.f64 (*.f64 (+.f64 y #s(literal -1 binary64)) (+.f64 y #s(literal -1 binary64))) #s(literal 729 binary64)))) (+.f64 (*.f64 y #s(literal -81 binary64)) #s(literal 81 binary64))))))
(/ 1 (- y 1))
(/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64)))
(- (/ 1 (- y 1)) (* 1/9 (/ 1 (* x (pow (- y 1) 2)))))
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(- (+ (/ 1/81 (* (pow x 2) (pow (- y 1) 3))) (/ 1 (- y 1))) (/ 1/9 (* x (pow (- y 1) 2))))
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(- (+ (* 1/81 (/ 1 (* (pow x 2) (pow (- y 1) 3)))) (/ 1 (- y 1))) (+ (/ 1/9 (* x (pow (- y 1) 2))) (* 1/729 (/ 1 (* (pow x 3) (pow (- y 1) 4))))))
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(/ 1 (- y 1))
(/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64)))
(- (/ 1 (- y 1)) (* 1/9 (/ 1 (* x (pow (- y 1) 2)))))
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64))) (/.f64 #s(literal -1/9 binary64) (*.f64 x (*.f64 (+.f64 y #s(literal -1 binary64)) (+.f64 y #s(literal -1 binary64))))))
(+ (* -1 (/ (- (* 1/9 (/ 1 (pow (- y 1) 2))) (* 1/81 (/ 1 (* x (pow (- y 1) 3))))) x)) (/ 1 (- y 1)))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64))) (/.f64 (+.f64 (/.f64 (/.f64 #s(literal 1/9 binary64) (+.f64 y #s(literal -1 binary64))) (+.f64 y #s(literal -1 binary64))) (/.f64 #s(literal -1/81 binary64) (*.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 x (*.f64 (+.f64 y #s(literal -1 binary64)) (+.f64 y #s(literal -1 binary64))))))) x))
(+ (* -1 (/ (+ (* -1 (/ (- (* 1/81 (/ 1 (pow (- y 1) 3))) (* 1/729 (/ 1 (* x (pow (- y 1) 4))))) x)) (* 1/9 (/ 1 (pow (- y 1) 2)))) x)) (/ 1 (- y 1)))
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(- (* 1/9 (/ 1 x)) 1)
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/9 binary64) x))
(- (+ y (* 1/9 (/ 1 x))) 1)
(+.f64 #s(literal -1 binary64) (+.f64 y (/.f64 #s(literal 1/9 binary64) x)))
(- (+ y (* 1/9 (/ 1 x))) 1)
(+.f64 #s(literal -1 binary64) (+.f64 y (/.f64 #s(literal 1/9 binary64) x)))
(- (+ y (* 1/9 (/ 1 x))) 1)
(+.f64 #s(literal -1 binary64) (+.f64 y (/.f64 #s(literal 1/9 binary64) x)))
y
(* y (- (+ 1 (/ 1/9 (* x y))) (/ 1 y)))
(*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/9 binary64) x)) y)))
(* y (- (+ 1 (/ 1/9 (* x y))) (/ 1 y)))
(*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/9 binary64) x)) y)))
(* y (- (+ 1 (/ 1/9 (* x y))) (/ 1 y)))
(*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/9 binary64) x)) y)))
y
(* -1 (* y (- (* -1 (/ (- (* 1/9 (/ 1 x)) 1) y)) 1)))
(*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/9 binary64) x)) y)))
(* -1 (* y (- (* -1 (/ (- (* 1/9 (/ 1 x)) 1) y)) 1)))
(*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/9 binary64) x)) y)))
(* -1 (* y (- (* -1 (/ (- (* 1/9 (/ 1 x)) 1) y)) 1)))
(*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/9 binary64) x)) y)))
(/ 1/9 x)
(/.f64 #s(literal 1/9 binary64) x)
(/ (+ 1/9 (* x (- y 1))) x)
(/.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 x (+.f64 y #s(literal -1 binary64)))) x)
(/ (+ 1/9 (* x (- y 1))) x)
(/.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 x (+.f64 y #s(literal -1 binary64)))) x)
(/ (+ 1/9 (* x (- y 1))) x)
(/.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 x (+.f64 y #s(literal -1 binary64)))) x)
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(- (+ y (* 1/9 (/ 1 x))) 1)
(+.f64 #s(literal -1 binary64) (+.f64 y (/.f64 #s(literal 1/9 binary64) x)))
(- y 1)
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(- (+ y (* 1/9 (/ 1 x))) 1)
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(- (+ y (* 1/9 (/ 1 x))) 1)
(+.f64 #s(literal -1 binary64) (+.f64 y (/.f64 #s(literal 1/9 binary64) x)))
(- (+ y (* 1/9 (/ 1 x))) 1)
(+.f64 #s(literal -1 binary64) (+.f64 y (/.f64 #s(literal 1/9 binary64) x)))
(/ 1/3 x)
(/.f64 #s(literal 1/3 binary64) x)
(/ 1/3 x)
(/.f64 #s(literal 1/3 binary64) x)
(/ 1/3 x)
(/.f64 #s(literal 1/3 binary64) x)
(/ 1/3 x)
(/.f64 #s(literal 1/3 binary64) x)
(/ 1/3 x)
(/.f64 #s(literal 1/3 binary64) x)
(/ 1/3 x)
(/.f64 #s(literal 1/3 binary64) x)
(/ 1/3 x)
(/.f64 #s(literal 1/3 binary64) x)
(/ 1/3 x)
(/.f64 #s(literal 1/3 binary64) x)
(/ 1/3 x)
(/.f64 #s(literal 1/3 binary64) x)
(/ 1/3 x)
(/.f64 #s(literal 1/3 binary64) x)
(/ 1/3 x)
(/.f64 #s(literal 1/3 binary64) x)
(/ 1/3 x)
(/.f64 #s(literal 1/3 binary64) x)
(/ 1/9 x)
(/.f64 #s(literal 1/9 binary64) x)
(/ 1/9 x)
(/.f64 #s(literal 1/9 binary64) x)
(/ 1/9 x)
(/.f64 #s(literal 1/9 binary64) x)
(/ 1/9 x)
(/.f64 #s(literal 1/9 binary64) x)
(/ 1/9 x)
(/.f64 #s(literal 1/9 binary64) x)
(/ 1/9 x)
(/.f64 #s(literal 1/9 binary64) x)
(/ 1/9 x)
(/.f64 #s(literal 1/9 binary64) x)
(/ 1/9 x)
(/.f64 #s(literal 1/9 binary64) x)
(/ 1/9 x)
(/.f64 #s(literal 1/9 binary64) x)
(/ 1/9 x)
(/.f64 #s(literal 1/9 binary64) x)
(/ 1/9 x)
(/.f64 #s(literal 1/9 binary64) x)
(/ 1/9 x)
(/.f64 #s(literal 1/9 binary64) x)

eval189.0ms (1.6%)

Compiler

Compiled 26557 to 3205 computations (87.9% saved)

prune210.0ms (1.8%)

Pruning

29 alts after pruning (25 fresh and 4 done)

PrunedKeptTotal
New1290151305
Fresh101020
Picked235
Done112
Total1303291332
Accuracy
100.0%
Counts
1332 → 29
Alt Table
Click to see full alt table
StatusAccuracyProgram
36.3%
(/.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 3 binary64))
99.3%
(/.f64 (/.f64 x (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 3 binary64) y) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)))))
▶99.4%
(/.f64 (+.f64 y (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64))) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)))
✓36.2%
(/.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) (*.f64 x #s(literal 9 binary64)))
▶61.8%
(/.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64))))
38.5%
(/.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) y)))
38.4%
(/.f64 (sqrt.f64 x) (/.f64 #s(literal 1/3 binary64) y))
36.2%
(/.f64 (sqrt.f64 x) (*.f64 x #s(literal 3 binary64)))
99.4%
(/.f64 #s(literal 3 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) (+.f64 y (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64))))))
63.4%
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64))) (*.f64 (sqrt.f64 x) #s(literal 3 binary64))))
38.4%
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 (sqrt.f64 x) #s(literal 3 binary64))))
36.2%
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 x) #s(literal 1/3 binary64)))
36.2%
(/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal 3 binary64)))
▶36.1%
(/.f64 #s(literal 1/3 binary64) (/.f64 x (sqrt.f64 x)))
✓36.2%
(/.f64 #s(literal 1/3 binary64) (sqrt.f64 x))
▶36.2%
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1/3 binary64))
38.4%
(*.f64 (/.f64 (sqrt.f64 x) #s(literal 1/3 binary64)) y)
65.3%
(*.f64 (+.f64 (*.f64 y (*.f64 y #s(literal 9 binary64))) (*.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)) (+.f64 #s(literal 3 binary64) (/.f64 #s(literal -1/3 binary64) x)))) (/.f64 (sqrt.f64 x) (+.f64 (*.f64 y #s(literal 3 binary64)) (+.f64 #s(literal 3 binary64) (/.f64 #s(literal -1/3 binary64) x)))))
38.4%
(*.f64 (*.f64 (*.f64 x (pow.f64 x #s(literal -1/2 binary64))) y) #s(literal 3 binary64))
✓99.4%
(*.f64 (*.f64 (sqrt.f64 x) (+.f64 y (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)))) #s(literal 3 binary64))
63.5%
(*.f64 (*.f64 (sqrt.f64 x) (+.f64 y #s(literal -1 binary64))) #s(literal 3 binary64))
✓38.5%
(*.f64 (*.f64 (sqrt.f64 x) y) #s(literal 3 binary64))
61.9%
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)))
38.5%
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) y)
38.5%
(*.f64 (*.f64 #s(literal 3 binary64) y) (sqrt.f64 x))
2.7%
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/3 binary64))
▶61.9%
(*.f64 (sqrt.f64 x) (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64)))
63.6%
(*.f64 (sqrt.f64 x) (+.f64 (*.f64 #s(literal 3 binary64) y) #s(literal -3 binary64)))
80.8%
(*.f64 y (*.f64 (sqrt.f64 x) (+.f64 #s(literal 3 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64)) y))))
Compiler

Compiled 604 to 468 computations (22.5% saved)

simplify153.0ms (1.3%)

Algorithm
1×egg-herbie
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64))
✓cost-diff0
(/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64)))
✓cost-diff0
(sqrt.f64 x)
✓cost-diff128
(/.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64))))
✓cost-diff0
(/.f64 #s(literal 1/3 binary64) x)
✓cost-diff0
(+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64))
✓cost-diff0
(sqrt.f64 x)
✓cost-diff0
(*.f64 (sqrt.f64 x) (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64)))
✓cost-diff0
(sqrt.f64 x)
✓cost-diff0
(/.f64 x (sqrt.f64 x))
✓cost-diff0
(/.f64 #s(literal 1/3 binary64) (/.f64 x (sqrt.f64 x)))
✓cost-diff0
(pow.f64 x #s(literal -1/2 binary64))
✓cost-diff0
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1/3 binary64))
✓cost-diff0
(/.f64 #s(literal 1/9 binary64) x)
✓cost-diff0
(+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64))
✓cost-diff0
(+.f64 y (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)))
✓cost-diff0
(/.f64 (+.f64 y (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64))) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)))
Rules
1938×fmsub-define
1684×sum5-define
1544×fmm-def
1524×fnmsub-define
1510×fma-lowering-fma.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
023112
143110
266110
393110
4145110
5227110
6321110
7418110
8657110
91232110
102198110
115727110
08104110
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(/ (+ y (+ (/ 1/9 x) -1)) (/ 1/3 (sqrt x)))
(+ y (+ (/ 1/9 x) -1))
y
(+ (/ 1/9 x) -1)
(/ 1/9 x)
1/9
x
-1
(/ 1/3 (sqrt x))
1/3
(sqrt x)
(* (pow x -1/2) 1/3)
(pow x -1/2)
x
-1/2
1/3
(/ 1/3 (/ x (sqrt x)))
1/3
(/ x (sqrt x))
x
(sqrt x)
(* (sqrt x) (+ (/ 1/3 x) -3))
(sqrt x)
x
(+ (/ 1/3 x) -3)
(/ 1/3 x)
1/3
-3
(/ (sqrt x) (/ 1 (+ (/ 1/3 x) -3)))
(sqrt x)
x
(/ 1 (+ (/ 1/3 x) -3))
1
(+ (/ 1/3 x) -3)
(/ 1/3 x)
1/3
-3
Outputs
(/ (+ y (+ (/ 1/9 x) -1)) (/ 1/3 (sqrt x)))
(/.f64 (+.f64 #s(literal -1 binary64) (+.f64 y (/.f64 #s(literal 1/9 binary64) x))) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)))
(+ y (+ (/ 1/9 x) -1))
(+.f64 #s(literal -1 binary64) (+.f64 y (/.f64 #s(literal 1/9 binary64) x)))
y
(+ (/ 1/9 x) -1)
(+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64))
(/ 1/9 x)
(/.f64 #s(literal 1/9 binary64) x)
1/9
#s(literal 1/9 binary64)
x
-1
#s(literal -1 binary64)
(/ 1/3 (sqrt x))
(/.f64 #s(literal 1/3 binary64) (sqrt.f64 x))
1/3
#s(literal 1/3 binary64)
(sqrt x)
(sqrt.f64 x)
(* (pow x -1/2) 1/3)
(*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal -1/2 binary64)))
(pow x -1/2)
(pow.f64 x #s(literal -1/2 binary64))
x
-1/2
#s(literal -1/2 binary64)
1/3
#s(literal 1/3 binary64)
(/ 1/3 (/ x (sqrt x)))
(*.f64 #s(literal 1/3 binary64) (/.f64 (sqrt.f64 x) x))
1/3
#s(literal 1/3 binary64)
(/ x (sqrt x))
(/.f64 x (sqrt.f64 x))
x
(sqrt x)
(sqrt.f64 x)
(* (sqrt x) (+ (/ 1/3 x) -3))
(*.f64 (sqrt.f64 x) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)))
(sqrt x)
(sqrt.f64 x)
x
(+ (/ 1/3 x) -3)
(+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))
(/ 1/3 x)
(/.f64 #s(literal 1/3 binary64) x)
1/3
#s(literal 1/3 binary64)
-3
#s(literal -3 binary64)
(/ (sqrt x) (/ 1 (+ (/ 1/3 x) -3)))
(*.f64 (sqrt.f64 x) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)))
(sqrt x)
(sqrt.f64 x)
x
(/ 1 (+ (/ 1/3 x) -3))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)))
1
#s(literal 1 binary64)
(+ (/ 1/3 x) -3)
(+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))
(/ 1/3 x)
(/.f64 #s(literal 1/3 binary64) x)
1/3
#s(literal 1/3 binary64)
-3
#s(literal -3 binary64)

localize186.0ms (1.6%)

Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(sqrt.f64 x)
✓accuracy99.7%
(/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64)))
✓accuracy99.4%
(/.f64 #s(literal 1/3 binary64) x)
✓accuracy99.4%
(/.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64))))
✓accuracy100.0%
(+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64))
✓accuracy100.0%
(sqrt.f64 x)
✓accuracy99.4%
(/.f64 #s(literal 1/3 binary64) x)
✓accuracy99.4%
(*.f64 (sqrt.f64 x) (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64)))
✓accuracy100.0%
(sqrt.f64 x)
✓accuracy99.4%
(/.f64 #s(literal 1/3 binary64) (/.f64 x (sqrt.f64 x)))
✓accuracy99.2%
(/.f64 x (sqrt.f64 x))
✓accuracy100.0%
(pow.f64 x #s(literal -1/2 binary64))
✓accuracy99.4%
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1/3 binary64))
✓accuracy100.0%
(+.f64 y (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)))
✓accuracy99.5%
(/.f64 #s(literal 1/9 binary64) x)
✓accuracy99.5%
(/.f64 (+.f64 y (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64))) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)))
✓accuracy99.4%
(/.f64 #s(literal 1/3 binary64) (sqrt.f64 x))
Results
87.0ms226×0valid
32.0ms11×2valid
16.0ms19×1valid
Compiler

Compiled 118 to 24 computations (79.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 48.0ms
ival-div: 17.0ms (35.2% of total)
...c/correct-round.rkt:119:19: 9.0ms (18.6% of total)
ival-pow: 7.0ms (14.5% of total)
ival-add: 5.0ms (10.3% of total)
ival-mult: 5.0ms (10.3% of total)
backward-pass: 3.0ms (6.2% of total)
ival-sqrt: 3.0ms (6.2% of total)
const: 1.0ms (2.1% of total)

series13.0ms (0.1%)

Counts
15 → 204
Calls
Call 1
Inputs
#<alt (/ (+ y (+ (/ 1/9 x) -1)) (/ 1/3 (sqrt x)))>
#<alt (+ y (+ (/ 1/9 x) -1))>
#<alt (+ (/ 1/9 x) -1)>
#<alt (/ 1/9 x)>
#<alt (* (pow x -1/2) 1/3)>
#<alt (pow x -1/2)>
#<alt (/ 1/3 (/ x (sqrt x)))>
#<alt (/ x (sqrt x))>
#<alt (sqrt x)>
#<alt (* (sqrt x) (+ (/ 1/3 x) -3))>
#<alt (+ (/ 1/3 x) -3)>
#<alt (/ 1/3 x)>
#<alt (/ (sqrt x) (/ 1 (+ (/ 1/3 x) -3)))>
#<alt (/ 1 (+ (/ 1/3 x) -3))>
#<alt (/ 1/3 (sqrt x))>
Outputs
#<alt (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1)))>
#<alt (+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1))))>
#<alt (+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1))))>
#<alt (+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1))))>
#<alt (* 3 (* (sqrt x) y))>
#<alt (* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))>
#<alt (* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))>
#<alt (* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))>
#<alt (* 3 (* (sqrt x) y))>
#<alt (* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))))>
#<alt (* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))))>
#<alt (* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))))>
#<alt (* 1/3 (sqrt (/ 1 x)))>
#<alt (/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) (- y 1)))) x)>
#<alt (/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) (- y 1)))) x)>
#<alt (/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) (- y 1)))) x)>
#<alt (* 3 (* (sqrt x) (- y 1)))>
#<alt (* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) (- y 1)))))>
#<alt (* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) (- y 1)))))>
#<alt (* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) (- y 1)))))>
#<alt (* -3 (* (sqrt x) (* (pow (sqrt -1) 2) (- y 1))))>
#<alt (* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1)))))))>
#<alt (* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1)))))))>
#<alt (* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1)))))))>
#<alt (- (* 1/9 (/ 1 x)) 1)>
#<alt (- (+ y (* 1/9 (/ 1 x))) 1)>
#<alt (- (+ y (* 1/9 (/ 1 x))) 1)>
#<alt (- (+ y (* 1/9 (/ 1 x))) 1)>
#<alt y>
#<alt (* y (- (+ 1 (/ 1/9 (* x y))) (/ 1 y)))>
#<alt (* y (- (+ 1 (/ 1/9 (* x y))) (/ 1 y)))>
#<alt (* y (- (+ 1 (/ 1/9 (* x y))) (/ 1 y)))>
#<alt y>
#<alt (* -1 (* y (- (* -1 (/ (- (* 1/9 (/ 1 x)) 1) y)) 1)))>
#<alt (* -1 (* y (- (* -1 (/ (- (* 1/9 (/ 1 x)) 1) y)) 1)))>
#<alt (* -1 (* y (- (* -1 (/ (- (* 1/9 (/ 1 x)) 1) y)) 1)))>
#<alt (/ 1/9 x)>
#<alt (/ (+ 1/9 (* x (- y 1))) x)>
#<alt (/ (+ 1/9 (* x (- y 1))) x)>
#<alt (/ (+ 1/9 (* x (- y 1))) x)>
#<alt (- y 1)>
#<alt (- (+ y (* 1/9 (/ 1 x))) 1)>
#<alt (- (+ y (* 1/9 (/ 1 x))) 1)>
#<alt (- (+ y (* 1/9 (/ 1 x))) 1)>
#<alt (- y 1)>
#<alt (- (+ y (* 1/9 (/ 1 x))) 1)>
#<alt (- (+ y (* 1/9 (/ 1 x))) 1)>
#<alt (- (+ y (* 1/9 (/ 1 x))) 1)>
#<alt (/ 1/9 x)>
#<alt (/ (+ 1/9 (* -1 x)) x)>
#<alt (/ (+ 1/9 (* -1 x)) x)>
#<alt (/ (+ 1/9 (* -1 x)) x)>
#<alt -1>
#<alt (- (* 1/9 (/ 1 x)) 1)>
#<alt (- (* 1/9 (/ 1 x)) 1)>
#<alt (- (* 1/9 (/ 1 x)) 1)>
#<alt -1>
#<alt (- (* 1/9 (/ 1 x)) 1)>
#<alt (- (* 1/9 (/ 1 x)) 1)>
#<alt (- (* 1/9 (/ 1 x)) 1)>
#<alt (/ 1/9 x)>
#<alt (/ 1/9 x)>
#<alt (/ 1/9 x)>
#<alt (/ 1/9 x)>
#<alt (/ 1/9 x)>
#<alt (/ 1/9 x)>
#<alt (/ 1/9 x)>
#<alt (/ 1/9 x)>
#<alt (/ 1/9 x)>
#<alt (/ 1/9 x)>
#<alt (/ 1/9 x)>
#<alt (/ 1/9 x)>
#<alt (* 1/3 (sqrt (/ 1 x)))>
#<alt (* 1/3 (sqrt (/ 1 x)))>
#<alt (* 1/3 (sqrt (/ 1 x)))>
#<alt (* 1/3 (sqrt (/ 1 x)))>
#<alt (* 1/3 (sqrt (/ 1 x)))>
#<alt (* 1/3 (sqrt (/ 1 x)))>
#<alt (* 1/3 (sqrt (/ 1 x)))>
#<alt (* 1/3 (sqrt (/ 1 x)))>
#<alt (* 1/3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))>
#<alt (* 1/3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))>
#<alt (* 1/3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))>
#<alt (* 1/3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))>
#<alt (sqrt (/ 1 x))>
#<alt (sqrt (/ 1 x))>
#<alt (sqrt (/ 1 x))>
#<alt (sqrt (/ 1 x))>
#<alt (sqrt (/ 1 x))>
#<alt (sqrt (/ 1 x))>
#<alt (sqrt (/ 1 x))>
#<alt (sqrt (/ 1 x))>
#<alt (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))>
#<alt (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))>
#<alt (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))>
#<alt (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))>
#<alt (* 1/3 (sqrt (/ 1 x)))>
#<alt (* 1/3 (sqrt (/ 1 x)))>
#<alt (* 1/3 (sqrt (/ 1 x)))>
#<alt (* 1/3 (sqrt (/ 1 x)))>
#<alt (* 1/3 (sqrt (/ 1 x)))>
#<alt (* 1/3 (sqrt (/ 1 x)))>
#<alt (* 1/3 (sqrt (/ 1 x)))>
#<alt (* 1/3 (sqrt (/ 1 x)))>
#<alt (* -1/3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))>
#<alt (* -1/3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))>
#<alt (* -1/3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))>
#<alt (* -1/3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* 1/3 (sqrt (/ 1 x)))>
#<alt (/ (+ (* -3 (sqrt (pow x 3))) (* 1/3 (sqrt x))) x)>
#<alt (/ (+ (* -3 (sqrt (pow x 3))) (* 1/3 (sqrt x))) x)>
#<alt (/ (+ (* -3 (sqrt (pow x 3))) (* 1/3 (sqrt x))) x)>
#<alt (* -3 (sqrt x))>
#<alt (* x (+ (* -3 (sqrt (/ 1 x))) (* 1/3 (sqrt (/ 1 (pow x 3))))))>
#<alt (* x (+ (* -3 (sqrt (/ 1 x))) (* 1/3 (sqrt (/ 1 (pow x 3))))))>
#<alt (* x (+ (* -3 (sqrt (/ 1 x))) (* 1/3 (sqrt (/ 1 (pow x 3))))))>
#<alt (* 3 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* -1 (* x (+ (* -3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))))))>
#<alt (* -1 (* x (+ (* -3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))))))>
#<alt (* -1 (* x (+ (* -3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))))))>
#<alt (/ 1/3 x)>
#<alt (/ (+ 1/3 (* -3 x)) x)>
#<alt (/ (+ 1/3 (* -3 x)) x)>
#<alt (/ (+ 1/3 (* -3 x)) x)>
#<alt -3>
#<alt (- (* 1/3 (/ 1 x)) 3)>
#<alt (- (* 1/3 (/ 1 x)) 3)>
#<alt (- (* 1/3 (/ 1 x)) 3)>
#<alt -3>
#<alt (- (* 1/3 (/ 1 x)) 3)>
#<alt (- (* 1/3 (/ 1 x)) 3)>
#<alt (- (* 1/3 (/ 1 x)) 3)>
#<alt (/ 1/3 x)>
#<alt (/ 1/3 x)>
#<alt (/ 1/3 x)>
#<alt (/ 1/3 x)>
#<alt (/ 1/3 x)>
#<alt (/ 1/3 x)>
#<alt (/ 1/3 x)>
#<alt (/ 1/3 x)>
#<alt (/ 1/3 x)>
#<alt (/ 1/3 x)>
#<alt (/ 1/3 x)>
#<alt (/ 1/3 x)>
#<alt (* 1/3 (sqrt (/ 1 x)))>
#<alt (/ (+ (* -3 (sqrt (pow x 3))) (* 1/3 (sqrt x))) x)>
#<alt (/ (+ (* -3 (sqrt (pow x 3))) (* 1/3 (sqrt x))) x)>
#<alt (/ (+ (* -3 (sqrt (pow x 3))) (* 1/3 (sqrt x))) x)>
#<alt (* -3 (sqrt x))>
#<alt (* x (+ (* -3 (sqrt (/ 1 x))) (* 1/3 (sqrt (/ 1 (pow x 3))))))>
#<alt (* x (+ (* -3 (sqrt (/ 1 x))) (* 1/3 (sqrt (/ 1 (pow x 3))))))>
#<alt (* x (+ (* -3 (sqrt (/ 1 x))) (* 1/3 (sqrt (/ 1 (pow x 3))))))>
#<alt (* 3 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* -1 (* x (+ (* -3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))))))>
#<alt (* -1 (* x (+ (* -3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))))))>
#<alt (* -1 (* x (+ (* -3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))))))>
#<alt (* 3 x)>
#<alt (* x (+ 3 (* 27 x)))>
#<alt (* x (+ 3 (* x (+ 27 (* 243 x)))))>
#<alt (* x (+ 3 (* x (+ 27 (* x (+ 243 (* 2187 x)))))))>
#<alt -1/3>
#<alt (* -1 (+ 1/3 (* 1/27 (/ 1 x))))>
#<alt (- (* -1 (/ (+ 1/27 (* 1/243 (/ 1 x))) x)) 1/3)>
#<alt (- (* -1 (/ (+ 1/243 (* 1/2187 (/ 1 x))) (pow x 2))) (+ 1/3 (* 1/27 (/ 1 x))))>
#<alt -1/3>
#<alt (* -1 (+ 1/3 (* 1/27 (/ 1 x))))>
#<alt (- (* -1 (/ (+ 1/27 (* 1/243 (/ 1 x))) x)) 1/3)>
#<alt (- (* -1 (/ (+ 1/27 (+ (/ 1/2187 (pow x 2)) (* 1/243 (/ 1 x)))) x)) 1/3)>
#<alt (* 1/3 (sqrt (/ 1 x)))>
#<alt (* 1/3 (sqrt (/ 1 x)))>
#<alt (* 1/3 (sqrt (/ 1 x)))>
#<alt (* 1/3 (sqrt (/ 1 x)))>
#<alt (* 1/3 (sqrt (/ 1 x)))>
#<alt (* 1/3 (sqrt (/ 1 x)))>
#<alt (* 1/3 (sqrt (/ 1 x)))>
#<alt (* 1/3 (sqrt (/ 1 x)))>
#<alt (* 1/3 (sqrt (/ 1 x)))>
#<alt (* 1/3 (sqrt (/ 1 x)))>
#<alt (* 1/3 (sqrt (/ 1 x)))>
#<alt (* 1/3 (sqrt (/ 1 x)))>
Calls

51 calls:

TimeVariablePointExpression
5.0ms
x
@inf
(pow x -1/2)
2.0ms
x
@0
(+ (/ 1/3 x) -3)
0.0ms
x
@0
(pow x -1/2)
0.0ms
x
@-inf
(pow x -1/2)
0.0ms
x
@-inf
(* (sqrt x) (+ (/ 1/3 x) -3))

rewrite327.0ms (2.8%)

Algorithm
1×batch-egg-rewrite
Rules
4194×*-lowering-*.f32
4194×*-lowering-*.f64
3572×/-lowering-/.f32
3572×/-lowering-/.f64
1910×+-lowering-+.f64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02383
114277
2105473
0876673
Stop Event
1×iter limit
1×node limit
Counts
15 → 821
Calls
Call 1
Inputs
(/ (+ y (+ (/ 1/9 x) -1)) (/ 1/3 (sqrt x)))
(+ y (+ (/ 1/9 x) -1))
(+ (/ 1/9 x) -1)
(/ 1/9 x)
(* (pow x -1/2) 1/3)
(pow x -1/2)
(/ 1/3 (/ x (sqrt x)))
(/ x (sqrt x))
(sqrt x)
(* (sqrt x) (+ (/ 1/3 x) -3))
(+ (/ 1/3 x) -3)
(/ 1/3 x)
(/ (sqrt x) (/ 1 (+ (/ 1/3 x) -3)))
(/ 1 (+ (/ 1/3 x) -3))
(/ 1/3 (sqrt x))
Outputs
(+.f64 (/.f64 (sqrt.f64 x) #s(literal -1/3 binary64)) (*.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) (/.f64 (sqrt.f64 x) #s(literal 1/3 binary64))))
(+.f64 (*.f64 (/.f64 (sqrt.f64 x) #s(literal 1/3 binary64)) y) (*.f64 (/.f64 (sqrt.f64 x) #s(literal 1/3 binary64)) (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64))))
(+.f64 (*.f64 (/.f64 (sqrt.f64 x) #s(literal 1/3 binary64)) (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64))) (*.f64 (/.f64 (sqrt.f64 x) #s(literal 1/3 binary64)) y))
(+.f64 (*.f64 (/.f64 (sqrt.f64 x) #s(literal 1/3 binary64)) (/.f64 #s(literal 1/9 binary64) x)) (*.f64 (/.f64 (sqrt.f64 x) #s(literal 1/3 binary64)) (+.f64 #s(literal -1 binary64) y)))
(+.f64 (*.f64 (/.f64 (sqrt.f64 x) #s(literal 1/3 binary64)) #s(literal -1 binary64)) (*.f64 (/.f64 (sqrt.f64 x) #s(literal 1/3 binary64)) (+.f64 y (/.f64 #s(literal 1/9 binary64) x))))
(+.f64 (*.f64 (/.f64 (sqrt.f64 x) #s(literal 1/3 binary64)) (+.f64 y (/.f64 #s(literal 1/9 binary64) x))) (*.f64 (/.f64 (sqrt.f64 x) #s(literal 1/3 binary64)) #s(literal -1 binary64)))
(+.f64 (*.f64 (/.f64 (sqrt.f64 x) #s(literal 1/3 binary64)) (+.f64 y #s(literal -1 binary64))) (*.f64 (/.f64 (sqrt.f64 x) #s(literal 1/3 binary64)) (/.f64 #s(literal 1/9 binary64) x)))
(+.f64 (*.f64 y (/.f64 (sqrt.f64 x) #s(literal 1/3 binary64))) (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)) (/.f64 (sqrt.f64 x) #s(literal 1/3 binary64))))
(+.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)) (/.f64 (sqrt.f64 x) #s(literal 1/3 binary64))) (*.f64 y (/.f64 (sqrt.f64 x) #s(literal 1/3 binary64))))
(+.f64 (*.f64 (/.f64 #s(literal 1/9 binary64) x) (/.f64 (sqrt.f64 x) #s(literal 1/3 binary64))) (*.f64 (+.f64 #s(literal -1 binary64) y) (/.f64 (sqrt.f64 x) #s(literal 1/3 binary64))))
(+.f64 (*.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) (/.f64 (sqrt.f64 x) #s(literal 1/3 binary64))) (/.f64 (sqrt.f64 x) #s(literal -1/3 binary64)))
(+.f64 (*.f64 (+.f64 y #s(literal -1 binary64)) (/.f64 (sqrt.f64 x) #s(literal 1/3 binary64))) (*.f64 (/.f64 #s(literal 1/9 binary64) x) (/.f64 (sqrt.f64 x) #s(literal 1/3 binary64))))
(exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) (-.f64 (/.f64 #s(literal -1/9 binary64) x) (+.f64 #s(literal -1 binary64) y)))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 (+.f64 y (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64))) (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x))))
(-.f64 (/.f64 (/.f64 (*.f64 y y) (+.f64 (-.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 1 binary64))) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) (/.f64 (/.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)) (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64))) (+.f64 (-.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 1 binary64))) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x))))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x))) (/.f64 (+.f64 y (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64))) (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x))))
(-.f64 (/.f64 (*.f64 y y) (*.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (+.f64 (-.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 1 binary64)))) (/.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)) (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64))) (*.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (+.f64 (-.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 1 binary64)))))
(neg.f64 (/.f64 (+.f64 y (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64))) (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x))))
(neg.f64 (*.f64 #s(literal 1 binary64) (/.f64 (+.f64 y (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64))) (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)))))
(neg.f64 (*.f64 (/.f64 (+.f64 y (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64))) #s(literal -1/3 binary64)) (sqrt.f64 x)))
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) (-.f64 (/.f64 #s(literal -1/9 binary64) x) (+.f64 #s(literal -1 binary64) y)))))
(/.f64 #s(literal -1 binary64) (/.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) (+.f64 y (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)))))
(/.f64 (+.f64 y (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64))) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)))
(/.f64 (sqrt.f64 x) (/.f64 #s(literal 1/3 binary64) (+.f64 y (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) (-.f64 (/.f64 #s(literal -1/9 binary64) x) (+.f64 #s(literal -1 binary64) y))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (+.f64 (*.f64 y y) (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)) (-.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)) y)))) (+.f64 (*.f64 y (*.f64 y y)) (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)) (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)) (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (+.f64 (-.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 1 binary64))) (-.f64 (*.f64 y y) (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)) (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 (+.f64 y (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64))) #s(literal 1/3 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 (*.f64 y y) (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)) (-.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)) y))) (/.f64 (sqrt.f64 x) #s(literal 1/3 binary64))) (+.f64 (*.f64 y (*.f64 y y)) (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)) (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)) (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 (-.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 1 binary64)) (/.f64 (sqrt.f64 x) #s(literal 1/3 binary64))) (-.f64 (*.f64 y y) (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)) (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 y y) (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)) (-.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)) y))) (/.f64 (+.f64 (*.f64 y (*.f64 y y)) (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)) (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)) (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64))))) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (-.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 1 binary64)) (/.f64 (-.f64 (*.f64 y y) (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)) (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)))) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)))))
(/.f64 (-.f64 (/.f64 #s(literal -1/9 binary64) x) (+.f64 #s(literal -1 binary64) y)) (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)))
(/.f64 (+.f64 (*.f64 y (*.f64 y y)) (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)) (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)) (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64))))) (/.f64 (+.f64 (*.f64 y y) (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)) (-.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)) y))) (/.f64 (sqrt.f64 x) #s(literal 1/3 binary64))))
(/.f64 (+.f64 (*.f64 y (*.f64 y y)) (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)) (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)) (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64))))) (*.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (+.f64 (*.f64 y y) (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)) (-.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)) y)))))
(/.f64 (/.f64 (sqrt.f64 x) #s(literal 1/3 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 y (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)))))
(/.f64 (-.f64 (*.f64 y y) (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)) (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)))) (/.f64 (+.f64 (-.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 1 binary64)) (/.f64 (sqrt.f64 x) #s(literal 1/3 binary64))))
(/.f64 (-.f64 (*.f64 y y) (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)) (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)))) (*.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (+.f64 (-.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 1 binary64))))
(/.f64 (/.f64 (+.f64 y (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64))) #s(literal 1/3 binary64)) (pow.f64 x #s(literal -1/2 binary64)))
(/.f64 (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 y (*.f64 y y)) (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)) (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)) (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)))))) (neg.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (+.f64 (*.f64 y y) (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)) (-.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)) y))))))
(/.f64 (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 y (*.f64 y y)) (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)) (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)) (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)))))) (neg.f64 (/.f64 (+.f64 (*.f64 y y) (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)) (-.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)) y))) (/.f64 (sqrt.f64 x) #s(literal 1/3 binary64)))))
(/.f64 (*.f64 (-.f64 (/.f64 #s(literal -1/9 binary64) x) (+.f64 #s(literal -1 binary64) y)) (+.f64 (-.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 1 binary64))) (neg.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (+.f64 (-.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 1 binary64)))))
(/.f64 (*.f64 (-.f64 (/.f64 #s(literal -1/9 binary64) x) (+.f64 #s(literal -1 binary64) y)) (+.f64 (-.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 1 binary64))) (neg.f64 (/.f64 (+.f64 (-.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 1 binary64)) (/.f64 (sqrt.f64 x) #s(literal 1/3 binary64)))))
(/.f64 (/.f64 (+.f64 (*.f64 y (*.f64 y y)) (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)) (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)) (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64))))) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) (+.f64 (*.f64 y y) (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)) (-.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)) y))))
(/.f64 (/.f64 (-.f64 (*.f64 y y) (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)) (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)))) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) (+.f64 (-.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 1 binary64)))
(/.f64 (/.f64 (+.f64 y (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64))) (pow.f64 x #s(literal -1/2 binary64))) #s(literal 1/3 binary64))
(/.f64 (*.f64 (+.f64 y (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64))) (-.f64 #s(literal 0 binary64) (sqrt.f64 x))) #s(literal -1/3 binary64))
(/.f64 (neg.f64 (/.f64 (+.f64 y (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64))) #s(literal 1/3 binary64))) (/.f64 #s(literal -1 binary64) (sqrt.f64 x)))
(/.f64 (neg.f64 (/.f64 (+.f64 (*.f64 y (*.f64 y y)) (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)) (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)) (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64))))) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)))) (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 y y) (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)) (-.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)) y)))))
(/.f64 (neg.f64 (/.f64 (-.f64 (*.f64 y y) (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)) (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)))) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)))) (+.f64 (-.f64 #s(literal 0 binary64) y) (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64))))
(pow.f64 (/.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) (-.f64 (/.f64 #s(literal -1/9 binary64) x) (+.f64 #s(literal -1 binary64) y))) #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 (+.f64 y (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64))) (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x))))
(*.f64 (+.f64 y (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64))) (/.f64 (sqrt.f64 x) #s(literal 1/3 binary64)))
(*.f64 (sqrt.f64 x) (/.f64 (+.f64 y (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64))) #s(literal 1/3 binary64)))
(*.f64 (/.f64 (+.f64 y (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64))) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) #s(literal 1 binary64))
(*.f64 (/.f64 (+.f64 y (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64))) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) (/.f64 (+.f64 (-.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 1 binary64)) (+.f64 (-.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 1 binary64))))
(*.f64 #s(literal -3 binary64) (/.f64 (+.f64 y (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) (sqrt.f64 x))))
(*.f64 #s(literal 1 binary64) (/.f64 (+.f64 y (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64))) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x))))
(*.f64 (-.f64 (/.f64 #s(literal -1/9 binary64) x) (+.f64 #s(literal -1 binary64) y)) (/.f64 (sqrt.f64 x) #s(literal -1/3 binary64)))
(*.f64 #s(literal 3 binary64) (/.f64 (+.f64 y (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64))) (pow.f64 x #s(literal -1/2 binary64))))
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(*.f64 (pow.f64 (/.f64 (sqrt.f64 x) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (sqrt.f64 x) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)))
(*.f64 (*.f64 (/.f64 #s(literal -1/3 binary64) x) #s(literal -1 binary64)) (sqrt.f64 x))
(*.f64 (*.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1/4 binary64))) (*.f64 (pow.f64 x #s(literal -1/4 binary64)) #s(literal 1/3 binary64)))
(*.f64 (*.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal -1/4 binary64)))) (pow.f64 x #s(literal -1/4 binary64)))
(*.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal -1/4 binary64))) (pow.f64 x #s(literal -1/8 binary64))) (pow.f64 x #s(literal -1/8 binary64)))
(*.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) x) (pow.f64 x #s(literal 1/4 binary64))) (pow.f64 x #s(literal 1/4 binary64)))
(*.f64 (*.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal 1/3 binary64))) (/.f64 #s(literal 1 binary64) x))
(*.f64 (*.f64 (*.f64 (sqrt.f64 x) #s(literal 1/3 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x))

simplify226.0ms (1.9%)

Algorithm
1×egg-herbie
Rules
4828×*-lowering-*.f32
4828×*-lowering-*.f64
1796×+-lowering-+.f64
1796×+-lowering-+.f32
1632×fnmadd-define
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01441368
14191292
212801283
337681260
085221260
Stop Event
1×iter limit
1×node limit
Counts
204 → 204
Calls
Call 1
Inputs
(* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1)))
(+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1))))
(+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1))))
(+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1))))
(* 3 (* (sqrt x) y))
(* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))
(* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))
(* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))
(* 3 (* (sqrt x) y))
(* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))))
(* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))))
(* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))))
(* 1/3 (sqrt (/ 1 x)))
(/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) (- y 1)))) x)
(/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) (- y 1)))) x)
(/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) (- y 1)))) x)
(* 3 (* (sqrt x) (- y 1)))
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) (- y 1)))))
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) (- y 1)))))
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) (- y 1)))))
(* -3 (* (sqrt x) (* (pow (sqrt -1) 2) (- y 1))))
(* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1)))))))
(* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1)))))))
(* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1)))))))
(- (* 1/9 (/ 1 x)) 1)
(- (+ y (* 1/9 (/ 1 x))) 1)
(- (+ y (* 1/9 (/ 1 x))) 1)
(- (+ y (* 1/9 (/ 1 x))) 1)
y
(* y (- (+ 1 (/ 1/9 (* x y))) (/ 1 y)))
(* y (- (+ 1 (/ 1/9 (* x y))) (/ 1 y)))
(* y (- (+ 1 (/ 1/9 (* x y))) (/ 1 y)))
y
(* -1 (* y (- (* -1 (/ (- (* 1/9 (/ 1 x)) 1) y)) 1)))
(* -1 (* y (- (* -1 (/ (- (* 1/9 (/ 1 x)) 1) y)) 1)))
(* -1 (* y (- (* -1 (/ (- (* 1/9 (/ 1 x)) 1) y)) 1)))
(/ 1/9 x)
(/ (+ 1/9 (* x (- y 1))) x)
(/ (+ 1/9 (* x (- y 1))) x)
(/ (+ 1/9 (* x (- y 1))) x)
(- y 1)
(- (+ y (* 1/9 (/ 1 x))) 1)
(- (+ y (* 1/9 (/ 1 x))) 1)
(- (+ y (* 1/9 (/ 1 x))) 1)
(- y 1)
(- (+ y (* 1/9 (/ 1 x))) 1)
(- (+ y (* 1/9 (/ 1 x))) 1)
(- (+ y (* 1/9 (/ 1 x))) 1)
(/ 1/9 x)
(/ (+ 1/9 (* -1 x)) x)
(/ (+ 1/9 (* -1 x)) x)
(/ (+ 1/9 (* -1 x)) x)
-1
(- (* 1/9 (/ 1 x)) 1)
(- (* 1/9 (/ 1 x)) 1)
(- (* 1/9 (/ 1 x)) 1)
-1
(- (* 1/9 (/ 1 x)) 1)
(- (* 1/9 (/ 1 x)) 1)
(- (* 1/9 (/ 1 x)) 1)
(/ 1/9 x)
(/ 1/9 x)
(/ 1/9 x)
(/ 1/9 x)
(/ 1/9 x)
(/ 1/9 x)
(/ 1/9 x)
(/ 1/9 x)
(/ 1/9 x)
(/ 1/9 x)
(/ 1/9 x)
(/ 1/9 x)
(* 1/3 (sqrt (/ 1 x)))
(* 1/3 (sqrt (/ 1 x)))
(* 1/3 (sqrt (/ 1 x)))
(* 1/3 (sqrt (/ 1 x)))
(* 1/3 (sqrt (/ 1 x)))
(* 1/3 (sqrt (/ 1 x)))
(* 1/3 (sqrt (/ 1 x)))
(* 1/3 (sqrt (/ 1 x)))
(* 1/3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))
(* 1/3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))
(* 1/3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))
(* 1/3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))
(sqrt (/ 1 x))
(sqrt (/ 1 x))
(sqrt (/ 1 x))
(sqrt (/ 1 x))
(sqrt (/ 1 x))
(sqrt (/ 1 x))
(sqrt (/ 1 x))
(sqrt (/ 1 x))
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2))
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2))
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2))
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2))
(* 1/3 (sqrt (/ 1 x)))
(* 1/3 (sqrt (/ 1 x)))
(* 1/3 (sqrt (/ 1 x)))
(* 1/3 (sqrt (/ 1 x)))
(* 1/3 (sqrt (/ 1 x)))
(* 1/3 (sqrt (/ 1 x)))
(* 1/3 (sqrt (/ 1 x)))
(* 1/3 (sqrt (/ 1 x)))
(* -1/3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))
(* -1/3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))
(* -1/3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))
(* -1/3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* 1/3 (sqrt (/ 1 x)))
(/ (+ (* -3 (sqrt (pow x 3))) (* 1/3 (sqrt x))) x)
(/ (+ (* -3 (sqrt (pow x 3))) (* 1/3 (sqrt x))) x)
(/ (+ (* -3 (sqrt (pow x 3))) (* 1/3 (sqrt x))) x)
(* -3 (sqrt x))
(* x (+ (* -3 (sqrt (/ 1 x))) (* 1/3 (sqrt (/ 1 (pow x 3))))))
(* x (+ (* -3 (sqrt (/ 1 x))) (* 1/3 (sqrt (/ 1 (pow x 3))))))
(* x (+ (* -3 (sqrt (/ 1 x))) (* 1/3 (sqrt (/ 1 (pow x 3))))))
(* 3 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* x (+ (* -3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))))))
(* -1 (* x (+ (* -3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))))))
(* -1 (* x (+ (* -3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))))))
(/ 1/3 x)
(/ (+ 1/3 (* -3 x)) x)
(/ (+ 1/3 (* -3 x)) x)
(/ (+ 1/3 (* -3 x)) x)
-3
(- (* 1/3 (/ 1 x)) 3)
(- (* 1/3 (/ 1 x)) 3)
(- (* 1/3 (/ 1 x)) 3)
-3
(- (* 1/3 (/ 1 x)) 3)
(- (* 1/3 (/ 1 x)) 3)
(- (* 1/3 (/ 1 x)) 3)
(/ 1/3 x)
(/ 1/3 x)
(/ 1/3 x)
(/ 1/3 x)
(/ 1/3 x)
(/ 1/3 x)
(/ 1/3 x)
(/ 1/3 x)
(/ 1/3 x)
(/ 1/3 x)
(/ 1/3 x)
(/ 1/3 x)
(* 1/3 (sqrt (/ 1 x)))
(/ (+ (* -3 (sqrt (pow x 3))) (* 1/3 (sqrt x))) x)
(/ (+ (* -3 (sqrt (pow x 3))) (* 1/3 (sqrt x))) x)
(/ (+ (* -3 (sqrt (pow x 3))) (* 1/3 (sqrt x))) x)
(* -3 (sqrt x))
(* x (+ (* -3 (sqrt (/ 1 x))) (* 1/3 (sqrt (/ 1 (pow x 3))))))
(* x (+ (* -3 (sqrt (/ 1 x))) (* 1/3 (sqrt (/ 1 (pow x 3))))))
(* x (+ (* -3 (sqrt (/ 1 x))) (* 1/3 (sqrt (/ 1 (pow x 3))))))
(* 3 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* x (+ (* -3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))))))
(* -1 (* x (+ (* -3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))))))
(* -1 (* x (+ (* -3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))))))
(* 3 x)
(* x (+ 3 (* 27 x)))
(* x (+ 3 (* x (+ 27 (* 243 x)))))
(* x (+ 3 (* x (+ 27 (* x (+ 243 (* 2187 x)))))))
-1/3
(* -1 (+ 1/3 (* 1/27 (/ 1 x))))
(- (* -1 (/ (+ 1/27 (* 1/243 (/ 1 x))) x)) 1/3)
(- (* -1 (/ (+ 1/243 (* 1/2187 (/ 1 x))) (pow x 2))) (+ 1/3 (* 1/27 (/ 1 x))))
-1/3
(* -1 (+ 1/3 (* 1/27 (/ 1 x))))
(- (* -1 (/ (+ 1/27 (* 1/243 (/ 1 x))) x)) 1/3)
(- (* -1 (/ (+ 1/27 (+ (/ 1/2187 (pow x 2)) (* 1/243 (/ 1 x)))) x)) 1/3)
(* 1/3 (sqrt (/ 1 x)))
(* 1/3 (sqrt (/ 1 x)))
(* 1/3 (sqrt (/ 1 x)))
(* 1/3 (sqrt (/ 1 x)))
(* 1/3 (sqrt (/ 1 x)))
(* 1/3 (sqrt (/ 1 x)))
(* 1/3 (sqrt (/ 1 x)))
(* 1/3 (sqrt (/ 1 x)))
(* 1/3 (sqrt (/ 1 x)))
(* 1/3 (sqrt (/ 1 x)))
(* 1/3 (sqrt (/ 1 x)))
(* 1/3 (sqrt (/ 1 x)))
Outputs
(* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1)))
(*.f64 (sqrt.f64 x) (+.f64 #s(literal -3 binary64) (*.f64 #s(literal 3 binary64) (/.f64 #s(literal 1/9 binary64) x))))
(+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1))))
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (+.f64 (/.f64 #s(literal 1/9 binary64) x) (+.f64 y #s(literal -1 binary64))))
(+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1))))
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (+.f64 (/.f64 #s(literal 1/9 binary64) x) (+.f64 y #s(literal -1 binary64))))
(+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1))))
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (+.f64 (/.f64 #s(literal 1/9 binary64) x) (+.f64 y #s(literal -1 binary64))))
(* 3 (* (sqrt x) y))
(*.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) y))
(* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (+.f64 y (*.f64 #s(literal -1 binary64) (-.f64 (/.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)) #s(literal -1 binary64)))))
(* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (+.f64 y (*.f64 #s(literal -1 binary64) (-.f64 (/.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)) #s(literal -1 binary64)))))
(* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (+.f64 y (*.f64 #s(literal -1 binary64) (-.f64 (/.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)) #s(literal -1 binary64)))))
(* 3 (* (sqrt x) y))
(*.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) y))
(* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))))
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (+.f64 y (*.f64 #s(literal -1 binary64) (-.f64 (/.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)) #s(literal -1 binary64)))))
(* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))))
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (+.f64 y (*.f64 #s(literal -1 binary64) (-.f64 (/.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)) #s(literal -1 binary64)))))
(* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))))
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (+.f64 y (*.f64 #s(literal -1 binary64) (-.f64 (/.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)) #s(literal -1 binary64)))))
(* 1/3 (sqrt (/ 1 x)))
(*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) (- y 1)))) x)
(/.f64 (+.f64 (*.f64 (sqrt.f64 x) #s(literal 1/3 binary64)) (*.f64 (sqrt.f64 (*.f64 x (*.f64 x x))) (-.f64 #s(literal -3 binary64) (*.f64 y #s(literal -3 binary64))))) x)
(/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) (- y 1)))) x)
(/.f64 (+.f64 (*.f64 (sqrt.f64 x) #s(literal 1/3 binary64)) (*.f64 (sqrt.f64 (*.f64 x (*.f64 x x))) (-.f64 #s(literal -3 binary64) (*.f64 y #s(literal -3 binary64))))) x)
(/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) (- y 1)))) x)
(/.f64 (+.f64 (*.f64 (sqrt.f64 x) #s(literal 1/3 binary64)) (*.f64 (sqrt.f64 (*.f64 x (*.f64 x x))) (-.f64 #s(literal -3 binary64) (*.f64 y #s(literal -3 binary64))))) x)
(* 3 (* (sqrt x) (- y 1)))
(*.f64 (sqrt.f64 x) (-.f64 #s(literal -3 binary64) (*.f64 y #s(literal -3 binary64))))
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) (- y 1)))))
(*.f64 x (+.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) x))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal -3 binary64) (*.f64 y #s(literal -3 binary64))))))
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) (- y 1)))))
(*.f64 x (+.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) x))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal -3 binary64) (*.f64 y #s(literal -3 binary64))))))
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) (- y 1)))))
(*.f64 x (+.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) x))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal -3 binary64) (*.f64 y #s(literal -3 binary64))))))
(* -3 (* (sqrt x) (* (pow (sqrt -1) 2) (- y 1))))
(*.f64 (sqrt.f64 x) (-.f64 #s(literal -3 binary64) (*.f64 y #s(literal -3 binary64))))
(* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1)))))))
(*.f64 x (+.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) x))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal -3 binary64) (*.f64 y #s(literal -3 binary64))))))
(* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1)))))))
(*.f64 x (+.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) x))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal -3 binary64) (*.f64 y #s(literal -3 binary64))))))
(* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1)))))))
(*.f64 x (+.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) x))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal -3 binary64) (*.f64 y #s(literal -3 binary64))))))
(- (* 1/9 (/ 1 x)) 1)
(+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64))
(- (+ y (* 1/9 (/ 1 x))) 1)
(+.f64 (/.f64 #s(literal 1/9 binary64) x) (+.f64 y #s(literal -1 binary64)))
(- (+ y (* 1/9 (/ 1 x))) 1)
(+.f64 (/.f64 #s(literal 1/9 binary64) x) (+.f64 y #s(literal -1 binary64)))
(- (+ y (* 1/9 (/ 1 x))) 1)
(+.f64 (/.f64 #s(literal 1/9 binary64) x) (+.f64 y #s(literal -1 binary64)))
y
(* y (- (+ 1 (/ 1/9 (* x y))) (/ 1 y)))
(+.f64 y (*.f64 #s(literal -1 binary64) (-.f64 (/.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)) #s(literal -1 binary64))))
(* y (- (+ 1 (/ 1/9 (* x y))) (/ 1 y)))
(+.f64 y (*.f64 #s(literal -1 binary64) (-.f64 (/.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)) #s(literal -1 binary64))))
(* y (- (+ 1 (/ 1/9 (* x y))) (/ 1 y)))
(+.f64 y (*.f64 #s(literal -1 binary64) (-.f64 (/.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)) #s(literal -1 binary64))))
y
(* -1 (* y (- (* -1 (/ (- (* 1/9 (/ 1 x)) 1) y)) 1)))
(+.f64 y (*.f64 #s(literal -1 binary64) (-.f64 (/.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)) #s(literal -1 binary64))))
(* -1 (* y (- (* -1 (/ (- (* 1/9 (/ 1 x)) 1) y)) 1)))
(+.f64 y (*.f64 #s(literal -1 binary64) (-.f64 (/.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)) #s(literal -1 binary64))))
(* -1 (* y (- (* -1 (/ (- (* 1/9 (/ 1 x)) 1) y)) 1)))
(+.f64 y (*.f64 #s(literal -1 binary64) (-.f64 (/.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)) #s(literal -1 binary64))))
(/ 1/9 x)
(/.f64 #s(literal 1/9 binary64) x)
(/ (+ 1/9 (* x (- y 1))) x)
(/.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 x (+.f64 y #s(literal -1 binary64)))) x)
(/ (+ 1/9 (* x (- y 1))) x)
(/.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 x (+.f64 y #s(literal -1 binary64)))) x)
(/ (+ 1/9 (* x (- y 1))) x)
(/.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 x (+.f64 y #s(literal -1 binary64)))) x)
(- y 1)
(+.f64 y #s(literal -1 binary64))
(- (+ y (* 1/9 (/ 1 x))) 1)
(+.f64 (/.f64 #s(literal 1/9 binary64) x) (+.f64 y #s(literal -1 binary64)))
(- (+ y (* 1/9 (/ 1 x))) 1)
(+.f64 (/.f64 #s(literal 1/9 binary64) x) (+.f64 y #s(literal -1 binary64)))
(- (+ y (* 1/9 (/ 1 x))) 1)
(+.f64 (/.f64 #s(literal 1/9 binary64) x) (+.f64 y #s(literal -1 binary64)))
(- y 1)
(+.f64 y #s(literal -1 binary64))
(- (+ y (* 1/9 (/ 1 x))) 1)
(+.f64 (/.f64 #s(literal 1/9 binary64) x) (+.f64 y #s(literal -1 binary64)))
(- (+ y (* 1/9 (/ 1 x))) 1)
(+.f64 (/.f64 #s(literal 1/9 binary64) x) (+.f64 y #s(literal -1 binary64)))
(- (+ y (* 1/9 (/ 1 x))) 1)
(+.f64 (/.f64 #s(literal 1/9 binary64) x) (+.f64 y #s(literal -1 binary64)))
(/ 1/9 x)
(/.f64 #s(literal 1/9 binary64) x)
(/ (+ 1/9 (* -1 x)) x)
(+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64))
(/ (+ 1/9 (* -1 x)) x)
(+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64))
(/ (+ 1/9 (* -1 x)) x)
(+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64))
-1
#s(literal -1 binary64)
(- (* 1/9 (/ 1 x)) 1)
(+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64))
(- (* 1/9 (/ 1 x)) 1)
(+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64))
(- (* 1/9 (/ 1 x)) 1)
(+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64))
-1
#s(literal -1 binary64)
(- (* 1/9 (/ 1 x)) 1)
(+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64))
(- (* 1/9 (/ 1 x)) 1)
(+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64))
(- (* 1/9 (/ 1 x)) 1)
(+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64))
(/ 1/9 x)
(/.f64 #s(literal 1/9 binary64) x)
(/ 1/9 x)
(/.f64 #s(literal 1/9 binary64) x)
(/ 1/9 x)
(/.f64 #s(literal 1/9 binary64) x)
(/ 1/9 x)
(/.f64 #s(literal 1/9 binary64) x)
(/ 1/9 x)
(/.f64 #s(literal 1/9 binary64) x)
(/ 1/9 x)
(/.f64 #s(literal 1/9 binary64) x)
(/ 1/9 x)
(/.f64 #s(literal 1/9 binary64) x)
(/ 1/9 x)
(/.f64 #s(literal 1/9 binary64) x)
(/ 1/9 x)
(/.f64 #s(literal 1/9 binary64) x)
(/ 1/9 x)
(/.f64 #s(literal 1/9 binary64) x)
(/ 1/9 x)
(/.f64 #s(literal 1/9 binary64) x)
(/ 1/9 x)
(/.f64 #s(literal 1/9 binary64) x)
(* 1/3 (sqrt (/ 1 x)))
(*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(* 1/3 (sqrt (/ 1 x)))
(*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(* 1/3 (sqrt (/ 1 x)))
(*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(* 1/3 (sqrt (/ 1 x)))
(*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(* 1/3 (sqrt (/ 1 x)))
(*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(* 1/3 (sqrt (/ 1 x)))
(*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(* 1/3 (sqrt (/ 1 x)))
(*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(* 1/3 (sqrt (/ 1 x)))
(*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(* 1/3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/3 binary64))
(* 1/3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/3 binary64))
(* 1/3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/3 binary64))
(* 1/3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/3 binary64))
(sqrt (/ 1 x))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(sqrt (/ 1 x))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(sqrt (/ 1 x))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(sqrt (/ 1 x))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(sqrt (/ 1 x))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(sqrt (/ 1 x))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(sqrt (/ 1 x))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(sqrt (/ 1 x))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2))
(-.f64 #s(literal 0 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2))
(-.f64 #s(literal 0 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2))
(-.f64 #s(literal 0 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2))
(-.f64 #s(literal 0 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(* 1/3 (sqrt (/ 1 x)))
(*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(* 1/3 (sqrt (/ 1 x)))
(*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(* 1/3 (sqrt (/ 1 x)))
(*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(* 1/3 (sqrt (/ 1 x)))
(*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(* 1/3 (sqrt (/ 1 x)))
(*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(* 1/3 (sqrt (/ 1 x)))
(*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(* 1/3 (sqrt (/ 1 x)))
(*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(* 1/3 (sqrt (/ 1 x)))
(*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(* -1/3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))
(*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(* -1/3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))
(*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(* -1/3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))
(*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(* -1/3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))
(*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(sqrt x)
(sqrt.f64 x)
(sqrt x)
(sqrt.f64 x)
(sqrt x)
(sqrt.f64 x)
(sqrt x)
(sqrt.f64 x)
(sqrt x)
(sqrt.f64 x)
(sqrt x)
(sqrt.f64 x)
(sqrt x)
(sqrt.f64 x)
(sqrt x)
(sqrt.f64 x)
(sqrt x)
(sqrt.f64 x)
(sqrt x)
(sqrt.f64 x)
(sqrt x)
(sqrt.f64 x)
(sqrt x)
(sqrt.f64 x)
(sqrt x)
(sqrt.f64 x)
(sqrt x)
(sqrt.f64 x)
(sqrt x)
(sqrt.f64 x)
(sqrt x)
(sqrt.f64 x)
(sqrt x)
(sqrt.f64 x)
(sqrt x)
(sqrt.f64 x)
(sqrt x)
(sqrt.f64 x)
(sqrt x)
(sqrt.f64 x)
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(sqrt.f64 x)
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(sqrt.f64 x)
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(sqrt.f64 x)
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(sqrt.f64 x)
(* 1/3 (sqrt (/ 1 x)))
(*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(/ (+ (* -3 (sqrt (pow x 3))) (* 1/3 (sqrt x))) x)
(/.f64 (+.f64 (*.f64 (sqrt.f64 x) #s(literal 1/3 binary64)) (*.f64 #s(literal -3 binary64) (sqrt.f64 (*.f64 x (*.f64 x x))))) x)
(/ (+ (* -3 (sqrt (pow x 3))) (* 1/3 (sqrt x))) x)
(/.f64 (+.f64 (*.f64 (sqrt.f64 x) #s(literal 1/3 binary64)) (*.f64 #s(literal -3 binary64) (sqrt.f64 (*.f64 x (*.f64 x x))))) x)
(/ (+ (* -3 (sqrt (pow x 3))) (* 1/3 (sqrt x))) x)
(/.f64 (+.f64 (*.f64 (sqrt.f64 x) #s(literal 1/3 binary64)) (*.f64 #s(literal -3 binary64) (sqrt.f64 (*.f64 x (*.f64 x x))))) x)
(* -3 (sqrt x))
(*.f64 (sqrt.f64 x) #s(literal -3 binary64))
(* x (+ (* -3 (sqrt (/ 1 x))) (* 1/3 (sqrt (/ 1 (pow x 3))))))
(*.f64 x (+.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) x))) (*.f64 #s(literal -3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))
(* x (+ (* -3 (sqrt (/ 1 x))) (* 1/3 (sqrt (/ 1 (pow x 3))))))
(*.f64 x (+.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) x))) (*.f64 #s(literal -3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))
(* x (+ (* -3 (sqrt (/ 1 x))) (* 1/3 (sqrt (/ 1 (pow x 3))))))
(*.f64 x (+.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) x))) (*.f64 #s(literal -3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))
(* 3 (* (sqrt x) (pow (sqrt -1) 2)))
(*.f64 (sqrt.f64 x) #s(literal -3 binary64))
(* -1 (* x (+ (* -3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))))))
(*.f64 x (+.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) x))) (*.f64 #s(literal -3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))
(* -1 (* x (+ (* -3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))))))
(*.f64 x (+.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) x))) (*.f64 #s(literal -3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))
(* -1 (* x (+ (* -3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))))))
(*.f64 x (+.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) x))) (*.f64 #s(literal -3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))
(/ 1/3 x)
(/.f64 #s(literal 1/3 binary64) x)
(/ (+ 1/3 (* -3 x)) x)
(/.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -3 binary64))) x)
(/ (+ 1/3 (* -3 x)) x)
(/.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -3 binary64))) x)
(/ (+ 1/3 (* -3 x)) x)
(/.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -3 binary64))) x)
-3
#s(literal -3 binary64)
(- (* 1/3 (/ 1 x)) 3)
(+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))
(- (* 1/3 (/ 1 x)) 3)
(+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))
(- (* 1/3 (/ 1 x)) 3)
(+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))
-3
#s(literal -3 binary64)
(- (* 1/3 (/ 1 x)) 3)
(+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))
(- (* 1/3 (/ 1 x)) 3)
(+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))
(- (* 1/3 (/ 1 x)) 3)
(+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))
(/ 1/3 x)
(/.f64 #s(literal 1/3 binary64) x)
(/ 1/3 x)
(/.f64 #s(literal 1/3 binary64) x)
(/ 1/3 x)
(/.f64 #s(literal 1/3 binary64) x)
(/ 1/3 x)
(/.f64 #s(literal 1/3 binary64) x)
(/ 1/3 x)
(/.f64 #s(literal 1/3 binary64) x)
(/ 1/3 x)
(/.f64 #s(literal 1/3 binary64) x)
(/ 1/3 x)
(/.f64 #s(literal 1/3 binary64) x)
(/ 1/3 x)
(/.f64 #s(literal 1/3 binary64) x)
(/ 1/3 x)
(/.f64 #s(literal 1/3 binary64) x)
(/ 1/3 x)
(/.f64 #s(literal 1/3 binary64) x)
(/ 1/3 x)
(/.f64 #s(literal 1/3 binary64) x)
(/ 1/3 x)
(/.f64 #s(literal 1/3 binary64) x)
(* 1/3 (sqrt (/ 1 x)))
(*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(/ (+ (* -3 (sqrt (pow x 3))) (* 1/3 (sqrt x))) x)
(/.f64 (+.f64 (*.f64 (sqrt.f64 x) #s(literal 1/3 binary64)) (*.f64 #s(literal -3 binary64) (sqrt.f64 (*.f64 x (*.f64 x x))))) x)
(/ (+ (* -3 (sqrt (pow x 3))) (* 1/3 (sqrt x))) x)
(/.f64 (+.f64 (*.f64 (sqrt.f64 x) #s(literal 1/3 binary64)) (*.f64 #s(literal -3 binary64) (sqrt.f64 (*.f64 x (*.f64 x x))))) x)
(/ (+ (* -3 (sqrt (pow x 3))) (* 1/3 (sqrt x))) x)
(/.f64 (+.f64 (*.f64 (sqrt.f64 x) #s(literal 1/3 binary64)) (*.f64 #s(literal -3 binary64) (sqrt.f64 (*.f64 x (*.f64 x x))))) x)
(* -3 (sqrt x))
(*.f64 (sqrt.f64 x) #s(literal -3 binary64))
(* x (+ (* -3 (sqrt (/ 1 x))) (* 1/3 (sqrt (/ 1 (pow x 3))))))
(*.f64 x (+.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) x))) (*.f64 #s(literal -3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))
(* x (+ (* -3 (sqrt (/ 1 x))) (* 1/3 (sqrt (/ 1 (pow x 3))))))
(*.f64 x (+.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) x))) (*.f64 #s(literal -3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))
(* x (+ (* -3 (sqrt (/ 1 x))) (* 1/3 (sqrt (/ 1 (pow x 3))))))
(*.f64 x (+.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) x))) (*.f64 #s(literal -3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))
(* 3 (* (sqrt x) (pow (sqrt -1) 2)))
(*.f64 (sqrt.f64 x) #s(literal -3 binary64))
(* -1 (* x (+ (* -3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))))))
(*.f64 x (+.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) x))) (*.f64 #s(literal -3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))
(* -1 (* x (+ (* -3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))))))
(*.f64 x (+.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) x))) (*.f64 #s(literal -3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))
(* -1 (* x (+ (* -3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))))))
(*.f64 x (+.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) x))) (*.f64 #s(literal -3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))
(* 3 x)
(*.f64 #s(literal 3 binary64) x)
(* x (+ 3 (* 27 x)))
(*.f64 x (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal 27 binary64))))
(* x (+ 3 (* x (+ 27 (* 243 x)))))
(*.f64 x (+.f64 #s(literal 3 binary64) (*.f64 x (+.f64 #s(literal 27 binary64) (*.f64 x #s(literal 243 binary64))))))
(* x (+ 3 (* x (+ 27 (* x (+ 243 (* 2187 x)))))))
(*.f64 x (+.f64 #s(literal 3 binary64) (*.f64 x (+.f64 #s(literal 27 binary64) (*.f64 x (+.f64 #s(literal 243 binary64) (*.f64 x #s(literal 2187 binary64))))))))
-1/3
#s(literal -1/3 binary64)
(* -1 (+ 1/3 (* 1/27 (/ 1 x))))
(+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal -1/27 binary64) x))
(- (* -1 (/ (+ 1/27 (* 1/243 (/ 1 x))) x)) 1/3)
(+.f64 #s(literal -1/3 binary64) (/.f64 (+.f64 #s(literal -1/27 binary64) (/.f64 #s(literal -1/243 binary64) x)) x))
(- (* -1 (/ (+ 1/243 (* 1/2187 (/ 1 x))) (pow x 2))) (+ 1/3 (* 1/27 (/ 1 x))))
(+.f64 (/.f64 (+.f64 #s(literal -1/243 binary64) (/.f64 #s(literal -1/2187 binary64) x)) (*.f64 x x)) (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal -1/27 binary64) x)))
-1/3
#s(literal -1/3 binary64)
(* -1 (+ 1/3 (* 1/27 (/ 1 x))))
(+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal -1/27 binary64) x))
(- (* -1 (/ (+ 1/27 (* 1/243 (/ 1 x))) x)) 1/3)
(+.f64 #s(literal -1/3 binary64) (/.f64 (+.f64 #s(literal -1/27 binary64) (/.f64 #s(literal -1/243 binary64) x)) x))
(- (* -1 (/ (+ 1/27 (+ (/ 1/2187 (pow x 2)) (* 1/243 (/ 1 x)))) x)) 1/3)
(+.f64 #s(literal -1/3 binary64) (/.f64 (+.f64 #s(literal -1/27 binary64) (*.f64 (/.f64 #s(literal -1 binary64) x) (+.f64 #s(literal 1/243 binary64) (/.f64 #s(literal 1/2187 binary64) x)))) x))
(* 1/3 (sqrt (/ 1 x)))
(*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(* 1/3 (sqrt (/ 1 x)))
(*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(* 1/3 (sqrt (/ 1 x)))
(*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(* 1/3 (sqrt (/ 1 x)))
(*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(* 1/3 (sqrt (/ 1 x)))
(*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(* 1/3 (sqrt (/ 1 x)))
(*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(* 1/3 (sqrt (/ 1 x)))
(*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(* 1/3 (sqrt (/ 1 x)))
(*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(* 1/3 (sqrt (/ 1 x)))
(*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(* 1/3 (sqrt (/ 1 x)))
(*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(* 1/3 (sqrt (/ 1 x)))
(*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(* 1/3 (sqrt (/ 1 x)))
(*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))

eval170.0ms (1.4%)

Compiler

Compiled 20185 to 2136 computations (89.4% saved)

prune172.0ms (1.5%)

Pruning

28 alts after pruning (21 fresh and 7 done)

PrunedKeptTotal
New126391272
Fresh81220
Picked235
Done044
Total1273281301
Accuracy
100.0%
Counts
1301 → 28
Alt Table
Click to see full alt table
StatusAccuracyProgram
36.3%
(/.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 3 binary64))
43.3%
(/.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) (*.f64 x x)) #s(literal -9 binary64)) (pow.f64 x #s(literal -1/2 binary64))) (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 3 binary64)))
61.9%
(/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64)) (pow.f64 x #s(literal -1/2 binary64)))
72.4%
(/.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)))
✓36.2%
(/.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) (*.f64 x #s(literal 9 binary64)))
38.5%
(/.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) y)))
38.4%
(/.f64 (sqrt.f64 x) (/.f64 #s(literal 1/3 binary64) y))
26.8%
(/.f64 (sqrt.f64 x) (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal -1/27 binary64) x)))
36.2%
(/.f64 (sqrt.f64 x) (*.f64 x #s(literal 3 binary64)))
26.1%
(/.f64 (sqrt.f64 x) #s(literal -1/3 binary64))
38.4%
(/.f64 y (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)))
38.4%
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 (sqrt.f64 x) #s(literal 3 binary64))))
36.2%
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 x) #s(literal 1/3 binary64)))
36.2%
(/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal 3 binary64)))
✓36.1%
(/.f64 #s(literal 1/3 binary64) (/.f64 x (sqrt.f64 x)))
✓36.2%
(/.f64 #s(literal 1/3 binary64) (sqrt.f64 x))
✓36.2%
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1/3 binary64))
61.8%
(*.f64 (/.f64 x (sqrt.f64 x)) (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64)))
38.4%
(*.f64 (*.f64 (*.f64 x (pow.f64 x #s(literal -1/2 binary64))) y) #s(literal 3 binary64))
✓99.4%
(*.f64 (*.f64 (sqrt.f64 x) (+.f64 y (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)))) #s(literal 3 binary64))
63.5%
(*.f64 (*.f64 (sqrt.f64 x) (+.f64 y #s(literal -1 binary64))) #s(literal 3 binary64))
✓38.5%
(*.f64 (*.f64 (sqrt.f64 x) y) #s(literal 3 binary64))
38.5%
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) y)
38.5%
(*.f64 (*.f64 #s(literal 3 binary64) y) (sqrt.f64 x))
63.6%
(*.f64 (sqrt.f64 x) (-.f64 #s(literal -3 binary64) (*.f64 y #s(literal -3 binary64))))
✓61.9%
(*.f64 (sqrt.f64 x) (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64)))
26.1%
(*.f64 (sqrt.f64 x) #s(literal -3 binary64))
80.8%
(*.f64 y (*.f64 (sqrt.f64 x) (+.f64 #s(literal 3 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64)) y))))
Compiler

Compiled 1181 to 429 computations (63.7% saved)

regimes69.0ms (0.6%)

Counts
68 → 1
Calls
Call 1
Inputs
(*.f64 (sqrt.f64 x) #s(literal -3 binary64))
(/.f64 #s(literal 1/3 binary64) (sqrt.f64 x))
(/.f64 (sqrt.f64 x) #s(literal -1/3 binary64))
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1/3 binary64))
(/.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 3 binary64))
(*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(*.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) y))
(*.f64 (sqrt.f64 x) (/.f64 #s(literal 1/3 binary64) x))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/3 binary64))
(*.f64 (*.f64 #s(literal 3 binary64) y) (sqrt.f64 x))
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) y)
(*.f64 (*.f64 (sqrt.f64 x) y) #s(literal 3 binary64))
(*.f64 (/.f64 (sqrt.f64 x) #s(literal 1/3 binary64)) y)
(/.f64 #s(literal 1/3 binary64) (/.f64 x (sqrt.f64 x)))
(/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal 3 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 x) #s(literal 1/3 binary64)))
(/.f64 y (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)))
(/.f64 (sqrt.f64 x) (*.f64 x #s(literal 3 binary64)))
(/.f64 (sqrt.f64 x) (/.f64 #s(literal 1/3 binary64) y))
(/.f64 (*.f64 (sqrt.f64 x) #s(literal 1/3 binary64)) x)
(*.f64 (sqrt.f64 x) (+.f64 (*.f64 #s(literal 3 binary64) y) #s(literal -3 binary64)))
(*.f64 (sqrt.f64 x) (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64)))
(*.f64 (sqrt.f64 x) (-.f64 #s(literal -3 binary64) (*.f64 y #s(literal -3 binary64))))
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1/9 binary64) x))
(*.f64 (*.f64 (sqrt.f64 x) (+.f64 y #s(literal -1 binary64))) #s(literal 3 binary64))
(/.f64 (sqrt.f64 x) (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal -1/27 binary64) x)))
(/.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) y)))
(/.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) (*.f64 x #s(literal 9 binary64)))
(/.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) y))
(*.f64 (*.f64 (*.f64 x (pow.f64 x #s(literal -1/2 binary64))) y) #s(literal 3 binary64))
(/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64)) (pow.f64 x #s(literal -1/2 binary64)))
(*.f64 (sqrt.f64 x) (+.f64 #s(literal -3 binary64) (*.f64 #s(literal 3 binary64) (/.f64 #s(literal 1/9 binary64) x))))
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)))
(*.f64 (/.f64 x (sqrt.f64 x)) (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 (sqrt.f64 x) #s(literal 3 binary64))))
(/.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64))))
(/.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)))
(*.f64 (sqrt.f64 x) (+.f64 (*.f64 #s(literal 3 binary64) y) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))))
(*.f64 (*.f64 (sqrt.f64 x) (+.f64 y (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)))) #s(literal 3 binary64))
(*.f64 (+.f64 y (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64))) (*.f64 (sqrt.f64 x) #s(literal 3 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64))) (*.f64 (sqrt.f64 x) #s(literal 3 binary64))))
(/.f64 (+.f64 y (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64))) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)))
(*.f64 y (*.f64 (sqrt.f64 x) (+.f64 #s(literal 3 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64)) y))))
(*.f64 (sqrt.f64 x) (+.f64 (*.f64 #s(literal 3 binary64) y) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1 binary64) (/.f64 x #s(literal 1/3 binary64))))))
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64)))
(/.f64 #s(literal 3 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) (+.f64 y (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64))))))
(/.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 3 binary64) y) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)))))
(/.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 y (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)))))
(*.f64 (pow.f64 (*.f64 x x) #s(literal 1/4 binary64)) (+.f64 (*.f64 #s(literal 3 binary64) y) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 y (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)))) (*.f64 (sqrt.f64 x) #s(literal 3 binary64))))
(/.f64 (*.f64 (sqrt.f64 x) (+.f64 (*.f64 (*.f64 y y) #s(literal 9 binary64)) #s(literal -9 binary64))) (+.f64 #s(literal 3 binary64) (*.f64 #s(literal 3 binary64) y)))
(/.f64 (/.f64 x (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 3 binary64) y) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)))))
(/.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) (*.f64 x x)) #s(literal -9 binary64)) (pow.f64 x #s(literal -1/2 binary64))) (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 3 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 3 binary64) (*.f64 #s(literal 3 binary64) y))) (+.f64 (*.f64 (*.f64 y y) #s(literal 9 binary64)) #s(literal -9 binary64))))
(*.f64 (*.f64 (+.f64 (*.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) (+.f64 y (/.f64 #s(literal 1/9 binary64) x))) #s(literal -1 binary64)) (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 y (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)))))
(*.f64 (/.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) (+.f64 y (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)))) (/.f64 (+.f64 (*.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) (+.f64 y (/.f64 #s(literal 1/9 binary64) x))) #s(literal -1 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 y (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64))) (*.f64 (+.f64 (*.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) (+.f64 y (/.f64 #s(literal 1/9 binary64) x))) #s(literal -1 binary64)) (*.f64 (sqrt.f64 x) #s(literal 3 binary64)))))
(*.f64 (+.f64 (*.f64 y (*.f64 y #s(literal 9 binary64))) (*.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)) (+.f64 #s(literal 3 binary64) (/.f64 #s(literal -1/3 binary64) x)))) (/.f64 (sqrt.f64 x) (+.f64 (*.f64 y #s(literal 3 binary64)) (+.f64 #s(literal 3 binary64) (/.f64 #s(literal -1/3 binary64) x)))))
(/.f64 (*.f64 (-.f64 (*.f64 #s(literal 9 binary64) (*.f64 y y)) (*.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)))) (sqrt.f64 x)) (+.f64 (+.f64 (*.f64 #s(literal 3 binary64) y) #s(literal 3 binary64)) (/.f64 #s(literal -1/3 binary64) x)))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 y #s(literal 3 binary64)) (+.f64 #s(literal 3 binary64) (/.f64 #s(literal -1/3 binary64) x)))) (sqrt.f64 x)) (+.f64 (*.f64 y (*.f64 y #s(literal 9 binary64))) (*.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)) (+.f64 #s(literal 3 binary64) (/.f64 #s(literal -1/3 binary64) x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (+.f64 (*.f64 #s(literal 3 binary64) y) #s(literal 3 binary64)) (/.f64 #s(literal -1/3 binary64) x)) (*.f64 (-.f64 (*.f64 #s(literal 9 binary64) (*.f64 y y)) (*.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)))) (sqrt.f64 x))))
(*.f64 (sqrt.f64 x) (/.f64 (+.f64 (*.f64 (+.f64 (*.f64 (*.f64 y (*.f64 y y)) #s(literal 27 binary64)) #s(literal -27 binary64)) (/.f64 x #s(literal 1/3 binary64))) (*.f64 (+.f64 (*.f64 #s(literal 9 binary64) (*.f64 y y)) (-.f64 #s(literal 9 binary64) (*.f64 (*.f64 #s(literal 3 binary64) y) #s(literal -3 binary64)))) #s(literal 1 binary64))) (*.f64 (+.f64 (*.f64 #s(literal 9 binary64) (*.f64 y y)) (-.f64 #s(literal 9 binary64) (*.f64 (*.f64 #s(literal 3 binary64) y) #s(literal -3 binary64)))) (/.f64 x #s(literal 1/3 binary64)))))
(*.f64 (*.f64 (+.f64 (*.f64 (*.f64 y (*.f64 y y)) #s(literal 27 binary64)) (*.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)) (*.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))))) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 9 binary64) (*.f64 y y)) (*.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)) (-.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)) (*.f64 #s(literal 3 binary64) y))))))
(*.f64 (pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 3 binary64) y) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))))
(/.f64 (+.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (*.f64 (sqrt.f64 (*.f64 x (*.f64 x x))) (+.f64 (*.f64 #s(literal 3 binary64) y) #s(literal -3 binary64)))) x)
(*.f64 x (+.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 x x)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (+.f64 (*.f64 #s(literal 3 binary64) y) #s(literal -3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/9 binary64)) (/.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal -1/3 binary64) x)) y))) y))
Outputs
(*.f64 (sqrt.f64 x) (+.f64 (*.f64 #s(literal 3 binary64) y) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))))
Calls

3 calls:

25.0ms
y
20.0ms
x
19.0ms
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64)))
Results
AccuracySegmentsBranch
99.5%1x
99.5%1y
99.5%1(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64)))
Compiler

Compiled 22 to 16 computations (27.3% saved)

regimes28.0ms (0.2%)

Counts
38 → 2
Calls
Call 1
Inputs
(*.f64 (sqrt.f64 x) #s(literal -3 binary64))
(/.f64 #s(literal 1/3 binary64) (sqrt.f64 x))
(/.f64 (sqrt.f64 x) #s(literal -1/3 binary64))
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1/3 binary64))
(/.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 3 binary64))
(*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(*.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) y))
(*.f64 (sqrt.f64 x) (/.f64 #s(literal 1/3 binary64) x))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/3 binary64))
(*.f64 (*.f64 #s(literal 3 binary64) y) (sqrt.f64 x))
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) y)
(*.f64 (*.f64 (sqrt.f64 x) y) #s(literal 3 binary64))
(*.f64 (/.f64 (sqrt.f64 x) #s(literal 1/3 binary64)) y)
(/.f64 #s(literal 1/3 binary64) (/.f64 x (sqrt.f64 x)))
(/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal 3 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 x) #s(literal 1/3 binary64)))
(/.f64 y (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)))
(/.f64 (sqrt.f64 x) (*.f64 x #s(literal 3 binary64)))
(/.f64 (sqrt.f64 x) (/.f64 #s(literal 1/3 binary64) y))
(/.f64 (*.f64 (sqrt.f64 x) #s(literal 1/3 binary64)) x)
(*.f64 (sqrt.f64 x) (+.f64 (*.f64 #s(literal 3 binary64) y) #s(literal -3 binary64)))
(*.f64 (sqrt.f64 x) (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64)))
(*.f64 (sqrt.f64 x) (-.f64 #s(literal -3 binary64) (*.f64 y #s(literal -3 binary64))))
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1/9 binary64) x))
(*.f64 (*.f64 (sqrt.f64 x) (+.f64 y #s(literal -1 binary64))) #s(literal 3 binary64))
(/.f64 (sqrt.f64 x) (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal -1/27 binary64) x)))
(/.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) y)))
(/.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) (*.f64 x #s(literal 9 binary64)))
(/.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) y))
(*.f64 (*.f64 (*.f64 x (pow.f64 x #s(literal -1/2 binary64))) y) #s(literal 3 binary64))
(/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64)) (pow.f64 x #s(literal -1/2 binary64)))
(*.f64 (sqrt.f64 x) (+.f64 #s(literal -3 binary64) (*.f64 #s(literal 3 binary64) (/.f64 #s(literal 1/9 binary64) x))))
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)))
(*.f64 (/.f64 x (sqrt.f64 x)) (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 (sqrt.f64 x) #s(literal 3 binary64))))
(/.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64))))
(/.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)))
Outputs
(/.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)))
(*.f64 (sqrt.f64 x) (+.f64 (*.f64 #s(literal 3 binary64) y) #s(literal -3 binary64)))
Calls

2 calls:

15.0ms
y
10.0ms
x
Results
AccuracySegmentsBranch
98.0%2x
97.7%3y
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes29.0ms (0.2%)

Counts
37 → 2
Calls
Call 1
Inputs
(*.f64 (sqrt.f64 x) #s(literal -3 binary64))
(/.f64 #s(literal 1/3 binary64) (sqrt.f64 x))
(/.f64 (sqrt.f64 x) #s(literal -1/3 binary64))
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1/3 binary64))
(/.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 3 binary64))
(*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(*.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) y))
(*.f64 (sqrt.f64 x) (/.f64 #s(literal 1/3 binary64) x))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/3 binary64))
(*.f64 (*.f64 #s(literal 3 binary64) y) (sqrt.f64 x))
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) y)
(*.f64 (*.f64 (sqrt.f64 x) y) #s(literal 3 binary64))
(*.f64 (/.f64 (sqrt.f64 x) #s(literal 1/3 binary64)) y)
(/.f64 #s(literal 1/3 binary64) (/.f64 x (sqrt.f64 x)))
(/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal 3 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 x) #s(literal 1/3 binary64)))
(/.f64 y (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)))
(/.f64 (sqrt.f64 x) (*.f64 x #s(literal 3 binary64)))
(/.f64 (sqrt.f64 x) (/.f64 #s(literal 1/3 binary64) y))
(/.f64 (*.f64 (sqrt.f64 x) #s(literal 1/3 binary64)) x)
(*.f64 (sqrt.f64 x) (+.f64 (*.f64 #s(literal 3 binary64) y) #s(literal -3 binary64)))
(*.f64 (sqrt.f64 x) (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64)))
(*.f64 (sqrt.f64 x) (-.f64 #s(literal -3 binary64) (*.f64 y #s(literal -3 binary64))))
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1/9 binary64) x))
(*.f64 (*.f64 (sqrt.f64 x) (+.f64 y #s(literal -1 binary64))) #s(literal 3 binary64))
(/.f64 (sqrt.f64 x) (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal -1/27 binary64) x)))
(/.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) y)))
(/.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) (*.f64 x #s(literal 9 binary64)))
(/.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) y))
(*.f64 (*.f64 (*.f64 x (pow.f64 x #s(literal -1/2 binary64))) y) #s(literal 3 binary64))
(/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64)) (pow.f64 x #s(literal -1/2 binary64)))
(*.f64 (sqrt.f64 x) (+.f64 #s(literal -3 binary64) (*.f64 #s(literal 3 binary64) (/.f64 #s(literal 1/9 binary64) x))))
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)))
(*.f64 (/.f64 x (sqrt.f64 x)) (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 (sqrt.f64 x) #s(literal 3 binary64))))
(/.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64))))
Outputs
(*.f64 (sqrt.f64 x) (+.f64 #s(literal -3 binary64) (*.f64 #s(literal 3 binary64) (/.f64 #s(literal 1/9 binary64) x))))
(*.f64 (sqrt.f64 x) (+.f64 (*.f64 #s(literal 3 binary64) y) #s(literal -3 binary64)))
Calls

2 calls:

16.0ms
x
10.0ms
y
Results
AccuracySegmentsBranch
89.6%3y
90.1%2x
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes11.0ms (0.1%)

Counts
31 → 2
Calls
Call 1
Inputs
(*.f64 (sqrt.f64 x) #s(literal -3 binary64))
(/.f64 #s(literal 1/3 binary64) (sqrt.f64 x))
(/.f64 (sqrt.f64 x) #s(literal -1/3 binary64))
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1/3 binary64))
(/.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 3 binary64))
(*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(*.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) y))
(*.f64 (sqrt.f64 x) (/.f64 #s(literal 1/3 binary64) x))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/3 binary64))
(*.f64 (*.f64 #s(literal 3 binary64) y) (sqrt.f64 x))
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) y)
(*.f64 (*.f64 (sqrt.f64 x) y) #s(literal 3 binary64))
(*.f64 (/.f64 (sqrt.f64 x) #s(literal 1/3 binary64)) y)
(/.f64 #s(literal 1/3 binary64) (/.f64 x (sqrt.f64 x)))
(/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal 3 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 x) #s(literal 1/3 binary64)))
(/.f64 y (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)))
(/.f64 (sqrt.f64 x) (*.f64 x #s(literal 3 binary64)))
(/.f64 (sqrt.f64 x) (/.f64 #s(literal 1/3 binary64) y))
(/.f64 (*.f64 (sqrt.f64 x) #s(literal 1/3 binary64)) x)
(*.f64 (sqrt.f64 x) (+.f64 (*.f64 #s(literal 3 binary64) y) #s(literal -3 binary64)))
(*.f64 (sqrt.f64 x) (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64)))
(*.f64 (sqrt.f64 x) (-.f64 #s(literal -3 binary64) (*.f64 y #s(literal -3 binary64))))
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1/9 binary64) x))
(*.f64 (*.f64 (sqrt.f64 x) (+.f64 y #s(literal -1 binary64))) #s(literal 3 binary64))
(/.f64 (sqrt.f64 x) (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal -1/27 binary64) x)))
(/.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) y)))
(/.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) (*.f64 x #s(literal 9 binary64)))
(/.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) y))
(*.f64 (*.f64 (*.f64 x (pow.f64 x #s(literal -1/2 binary64))) y) #s(literal 3 binary64))
(/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64)) (pow.f64 x #s(literal -1/2 binary64)))
Outputs
(/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64)) (pow.f64 x #s(literal -1/2 binary64)))
(*.f64 (sqrt.f64 x) (+.f64 (*.f64 #s(literal 3 binary64) y) #s(literal -3 binary64)))
Calls

1 calls:

9.0ms
x
Results
AccuracySegmentsBranch
90.1%2x
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes11.0ms (0.1%)

Counts
30 → 2
Calls
Call 1
Inputs
(*.f64 (sqrt.f64 x) #s(literal -3 binary64))
(/.f64 #s(literal 1/3 binary64) (sqrt.f64 x))
(/.f64 (sqrt.f64 x) #s(literal -1/3 binary64))
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1/3 binary64))
(/.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 3 binary64))
(*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(*.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) y))
(*.f64 (sqrt.f64 x) (/.f64 #s(literal 1/3 binary64) x))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/3 binary64))
(*.f64 (*.f64 #s(literal 3 binary64) y) (sqrt.f64 x))
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) y)
(*.f64 (*.f64 (sqrt.f64 x) y) #s(literal 3 binary64))
(*.f64 (/.f64 (sqrt.f64 x) #s(literal 1/3 binary64)) y)
(/.f64 #s(literal 1/3 binary64) (/.f64 x (sqrt.f64 x)))
(/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal 3 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 x) #s(literal 1/3 binary64)))
(/.f64 y (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)))
(/.f64 (sqrt.f64 x) (*.f64 x #s(literal 3 binary64)))
(/.f64 (sqrt.f64 x) (/.f64 #s(literal 1/3 binary64) y))
(/.f64 (*.f64 (sqrt.f64 x) #s(literal 1/3 binary64)) x)
(*.f64 (sqrt.f64 x) (+.f64 (*.f64 #s(literal 3 binary64) y) #s(literal -3 binary64)))
(*.f64 (sqrt.f64 x) (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64)))
(*.f64 (sqrt.f64 x) (-.f64 #s(literal -3 binary64) (*.f64 y #s(literal -3 binary64))))
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1/9 binary64) x))
(*.f64 (*.f64 (sqrt.f64 x) (+.f64 y #s(literal -1 binary64))) #s(literal 3 binary64))
(/.f64 (sqrt.f64 x) (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal -1/27 binary64) x)))
(/.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) y)))
(/.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) (*.f64 x #s(literal 9 binary64)))
(/.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) y))
(*.f64 (*.f64 (*.f64 x (pow.f64 x #s(literal -1/2 binary64))) y) #s(literal 3 binary64))
Outputs
(*.f64 (sqrt.f64 x) (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64)))
(*.f64 (sqrt.f64 x) (+.f64 (*.f64 #s(literal 3 binary64) y) #s(literal -3 binary64)))
Calls

1 calls:

10.0ms
x
Results
AccuracySegmentsBranch
90.0%2x
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes8.0ms (0.1%)

Counts
21 → 2
Calls
Call 1
Inputs
(*.f64 (sqrt.f64 x) #s(literal -3 binary64))
(/.f64 #s(literal 1/3 binary64) (sqrt.f64 x))
(/.f64 (sqrt.f64 x) #s(literal -1/3 binary64))
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1/3 binary64))
(/.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 3 binary64))
(*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(*.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) y))
(*.f64 (sqrt.f64 x) (/.f64 #s(literal 1/3 binary64) x))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/3 binary64))
(*.f64 (*.f64 #s(literal 3 binary64) y) (sqrt.f64 x))
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) y)
(*.f64 (*.f64 (sqrt.f64 x) y) #s(literal 3 binary64))
(*.f64 (/.f64 (sqrt.f64 x) #s(literal 1/3 binary64)) y)
(/.f64 #s(literal 1/3 binary64) (/.f64 x (sqrt.f64 x)))
(/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal 3 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 x) #s(literal 1/3 binary64)))
(/.f64 y (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)))
(/.f64 (sqrt.f64 x) (*.f64 x #s(literal 3 binary64)))
(/.f64 (sqrt.f64 x) (/.f64 #s(literal 1/3 binary64) y))
(/.f64 (*.f64 (sqrt.f64 x) #s(literal 1/3 binary64)) x)
(*.f64 (sqrt.f64 x) (+.f64 (*.f64 #s(literal 3 binary64) y) #s(literal -3 binary64)))
Outputs
(/.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 3 binary64))
(*.f64 (sqrt.f64 x) (+.f64 (*.f64 #s(literal 3 binary64) y) #s(literal -3 binary64)))
Calls

1 calls:

6.0ms
x
Results
AccuracySegmentsBranch
89.8%2x
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes14.0ms (0.1%)

Counts
20 → 5
Calls
Call 1
Inputs
(*.f64 (sqrt.f64 x) #s(literal -3 binary64))
(/.f64 #s(literal 1/3 binary64) (sqrt.f64 x))
(/.f64 (sqrt.f64 x) #s(literal -1/3 binary64))
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1/3 binary64))
(/.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 3 binary64))
(*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(*.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) y))
(*.f64 (sqrt.f64 x) (/.f64 #s(literal 1/3 binary64) x))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/3 binary64))
(*.f64 (*.f64 #s(literal 3 binary64) y) (sqrt.f64 x))
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) y)
(*.f64 (*.f64 (sqrt.f64 x) y) #s(literal 3 binary64))
(*.f64 (/.f64 (sqrt.f64 x) #s(literal 1/3 binary64)) y)
(/.f64 #s(literal 1/3 binary64) (/.f64 x (sqrt.f64 x)))
(/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal 3 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 x) #s(literal 1/3 binary64)))
(/.f64 y (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)))
(/.f64 (sqrt.f64 x) (*.f64 x #s(literal 3 binary64)))
(/.f64 (sqrt.f64 x) (/.f64 #s(literal 1/3 binary64) y))
(/.f64 (*.f64 (sqrt.f64 x) #s(literal 1/3 binary64)) x)
Outputs
(/.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 3 binary64))
(*.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) y))
(*.f64 (sqrt.f64 x) #s(literal -3 binary64))
(*.f64 (*.f64 (sqrt.f64 x) y) #s(literal 3 binary64))
(/.f64 (sqrt.f64 x) #s(literal -1/3 binary64))
Calls

2 calls:

7.0ms
x
6.0ms
y
Results
AccuracySegmentsBranch
67.2%4y
70.9%5x
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes5.0ms (0%)

Counts
11 → 5
Calls
Call 1
Inputs
(*.f64 (sqrt.f64 x) #s(literal -3 binary64))
(/.f64 #s(literal 1/3 binary64) (sqrt.f64 x))
(/.f64 (sqrt.f64 x) #s(literal -1/3 binary64))
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1/3 binary64))
(/.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 3 binary64))
(*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(*.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) y))
(*.f64 (sqrt.f64 x) (/.f64 #s(literal 1/3 binary64) x))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/3 binary64))
(*.f64 (*.f64 #s(literal 3 binary64) y) (sqrt.f64 x))
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) y)
Outputs
(/.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 3 binary64))
(*.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) y))
(*.f64 (sqrt.f64 x) #s(literal -3 binary64))
(*.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) y))
(/.f64 (sqrt.f64 x) #s(literal -1/3 binary64))
Calls

1 calls:

4.0ms
x
Results
AccuracySegmentsBranch
70.9%5x
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes11.0ms (0.1%)

Counts
6 → 2
Calls
Call 1
Inputs
(*.f64 (sqrt.f64 x) #s(literal -3 binary64))
(/.f64 #s(literal 1/3 binary64) (sqrt.f64 x))
(/.f64 (sqrt.f64 x) #s(literal -1/3 binary64))
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1/3 binary64))
(/.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 3 binary64))
(*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
Outputs
(/.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 3 binary64))
(*.f64 (sqrt.f64 x) #s(literal -3 binary64))
Calls

2 calls:

8.0ms
x
3.0ms
y
Results
AccuracySegmentsBranch
41.9%3y
60.5%2x
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes3.0ms (0%)

Counts
4 → 2
Calls
Call 1
Inputs
(*.f64 (sqrt.f64 x) #s(literal -3 binary64))
(/.f64 #s(literal 1/3 binary64) (sqrt.f64 x))
(/.f64 (sqrt.f64 x) #s(literal -1/3 binary64))
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1/3 binary64))
Outputs
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1/3 binary64))
(*.f64 (sqrt.f64 x) #s(literal -3 binary64))
Calls

1 calls:

2.0ms
x
Results
AccuracySegmentsBranch
60.4%2x
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes2.0ms (0%)

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

1 calls:

2.0ms
x
Results
AccuracySegmentsBranch
60.4%2x
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes3.0ms (0%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

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

2 calls:

1.0ms
y
1.0ms
x
Results
AccuracySegmentsBranch
26.1%1y
26.1%1x
Compiler

Compiled 6 to 4 computations (33.3% saved)

bsearch41.0ms (0.3%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
39.0ms
0.019150324200773415
487.76296710806383
Results
34.0ms128×0valid
Compiler

Compiled 213 to 168 computations (21.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 30.0ms
ival-mult: 26.0ms (87.5% of total)
ival-div: 1.0ms (3.4% of total)
ival-sub: 1.0ms (3.4% of total)
ival-add: 1.0ms (3.4% of total)
ival-sqrt: 1.0ms (3.4% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch19.0ms (0.2%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
17.0ms
0.019150324200773415
487.76296710806383
Results
13.0ms128×0valid
Compiler

Compiled 213 to 176 computations (17.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 6.0ms
ival-mult: 2.0ms (33.6% of total)
ival-div: 1.0ms (16.8% of total)
ival-sub: 1.0ms (16.8% of total)
ival-add: 1.0ms (16.8% of total)
ival-sqrt: 1.0ms (16.8% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch20.0ms (0.2%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
18.0ms
0.019150324200773415
487.76296710806383
Results
13.0ms128×0valid
Compiler

Compiled 205 to 168 computations (18% saved)

Precisions
Click to see histograms. Total time spent on operations: 6.0ms
ival-mult: 2.0ms (31.2% of total)
ival-div: 1.0ms (15.6% of total)
ival-sub: 1.0ms (15.6% of total)
ival-add: 1.0ms (15.6% of total)
ival-sqrt: 1.0ms (15.6% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch17.0ms (0.1%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
15.0ms
0.019150324200773415
487.76296710806383
Results
11.0ms128×0valid
Compiler

Compiled 197 to 160 computations (18.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 6.0ms
ival-mult: 2.0ms (32.2% of total)
ival-div: 1.0ms (16.1% of total)
ival-sub: 1.0ms (16.1% of total)
ival-add: 1.0ms (16.1% of total)
ival-sqrt: 1.0ms (16.1% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch25.0ms (0.2%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
22.0ms
8.060922263199207e-21
6.076530601466162e-9
Results
17.0ms160×0valid
Compiler

Compiled 211 to 176 computations (16.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 8.0ms
ival-mult: 3.0ms (38.6% of total)
ival-div: 1.0ms (12.9% of total)
ival-sub: 1.0ms (12.9% of total)
ival-add: 1.0ms (12.9% of total)
ival-sqrt: 1.0ms (12.9% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch76.0ms (0.6%)

Algorithm
4×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
15.0ms
4.018995375359853e+264
1.132928357804764e+269
20.0ms
2.8881558614486273e+195
6.931206673532126e+208
14.0ms
9.448762305577048e+148
4.296487301803461e+150
20.0ms
8.060922263199207e-21
6.076530601466162e-9
Results
49.0ms560×0valid
Compiler

Compiled 591 to 481 computations (18.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 28.0ms
ival-mult: 12.0ms (42.8% of total)
ival-sqrt: 5.0ms (17.8% of total)
ival-div: 4.0ms (14.3% of total)
ival-sub: 3.0ms (10.7% of total)
ival-add: 3.0ms (10.7% of total)
const: 1.0ms (3.6% of total)
backward-pass: 0.0ms (0% of total)

bsearch77.0ms (0.7%)

Algorithm
4×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
16.0ms
4.018995375359853e+264
1.132928357804764e+269
19.0ms
2.8881558614486273e+195
6.931206673532126e+208
14.0ms
9.448762305577048e+148
4.296487301803461e+150
21.0ms
8.060922263199207e-21
6.076530601466162e-9
Results
48.0ms560×0valid
Compiler

Compiled 591 to 481 computations (18.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 28.0ms
ival-mult: 12.0ms (42.4% of total)
ival-sqrt: 5.0ms (17.7% of total)
ival-div: 4.0ms (14.1% of total)
ival-sub: 3.0ms (10.6% of total)
ival-add: 3.0ms (10.6% of total)
const: 1.0ms (3.5% of total)
backward-pass: 0.0ms (0% of total)

bsearch20.0ms (0.2%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
18.0ms
2580.2666008488018
2839553.4502086025
Results
11.0ms128×0valid
Compiler

Compiled 141 to 120 computations (14.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 6.0ms
ival-mult: 2.0ms (32.5% of total)
ival-div: 1.0ms (16.3% of total)
ival-sub: 1.0ms (16.3% of total)
ival-add: 1.0ms (16.3% of total)
ival-sqrt: 1.0ms (16.3% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch19.0ms (0.2%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
17.0ms
2580.2666008488018
2839553.4502086025
Results
11.0ms128×0valid
Compiler

Compiled 141 to 120 computations (14.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 6.0ms
ival-mult: 2.0ms (32.7% of total)
ival-div: 1.0ms (16.4% of total)
ival-sub: 1.0ms (16.4% of total)
ival-add: 1.0ms (16.4% of total)
ival-sqrt: 1.0ms (16.4% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch17.0ms (0.1%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
15.0ms
2580.2666008488018
2839553.4502086025
Results
10.0ms128×0valid
Compiler

Compiled 133 to 112 computations (15.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 6.0ms
ival-mult: 2.0ms (33.1% of total)
ival-div: 1.0ms (16.5% of total)
ival-sub: 1.0ms (16.5% of total)
ival-add: 1.0ms (16.5% of total)
ival-sqrt: 1.0ms (16.5% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

simplify13.0ms (0.1%)

Algorithm
1×egg-herbie
Rules
22×*-commutative_binary64
10×+-commutative_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
078238
194238
Stop Event
1×saturated
Calls
Call 1
Inputs
(*.f64 (sqrt.f64 x) (+.f64 (*.f64 #s(literal 3 binary64) y) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))))
(if (<=.f64 x #s(literal 7926335344172073/72057594037927936 binary64)) (/.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) (*.f64 (sqrt.f64 x) (+.f64 (*.f64 #s(literal 3 binary64) y) #s(literal -3 binary64))))
(if (<=.f64 x #s(literal 5476377146882523/144115188075855872 binary64)) (*.f64 (sqrt.f64 x) (+.f64 #s(literal -3 binary64) (*.f64 #s(literal 3 binary64) (/.f64 #s(literal 1/9 binary64) x)))) (*.f64 (sqrt.f64 x) (+.f64 (*.f64 #s(literal 3 binary64) y) #s(literal -3 binary64))))
(if (<=.f64 x #s(literal 7566047373982433/18014398509481984 binary64)) (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64)) (pow.f64 x #s(literal -1/2 binary64))) (*.f64 (sqrt.f64 x) (+.f64 (*.f64 #s(literal 3 binary64) y) #s(literal -3 binary64))))
(if (<=.f64 x #s(literal 5764607523034235/36028797018963968 binary64)) (*.f64 (sqrt.f64 x) (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64))) (*.f64 (sqrt.f64 x) (+.f64 (*.f64 #s(literal 3 binary64) y) #s(literal -3 binary64))))
(if (<=.f64 x #s(literal 1470053796651389/38685626227668133590597632 binary64)) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 3 binary64)) (*.f64 (sqrt.f64 x) (+.f64 (*.f64 #s(literal 3 binary64) y) #s(literal -3 binary64))))
(if (<=.f64 x #s(literal 1419768672255617/1267650600228229401496703205376 binary64)) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 3 binary64)) (if (<=.f64 x #s(literal 800000000000000039181381260120416463657781602824595110996033899672134610874707804928985223397821171034490451745208221409642746334930068173681820958720 binary64)) (*.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) y)) (if (<=.f64 x #s(literal 62000000000000003480723827922682087110081689649031027539117908231149836188916882375752195991417937322465720545912474063758257085385040501668156556749555023860216940292716455369192454403933784331653428019200 binary64)) (*.f64 (sqrt.f64 x) #s(literal -3 binary64)) (if (<=.f64 x #s(literal 22999999999999999560912595156534995261695630507873977207985824648728272349210925317829405335085404803420136450276685363949971020746530700089803208546550375857376976358951702185780149559541367185652731093747361754021721829709744292472102999891688262040892599156342784 binary64)) (*.f64 (*.f64 (sqrt.f64 x) y) #s(literal 3 binary64)) (/.f64 (sqrt.f64 x) #s(literal -1/3 binary64))))))
(if (<=.f64 x #s(literal 4410161389954167/77371252455336267181195264 binary64)) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 3 binary64)) (if (<=.f64 x #s(literal 184999999999999989186198048944845393762789123715563633185451883005327917942778546044222298560021679851189374011606905398879684918611775395077157814272 binary64)) (*.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) y)) (if (<=.f64 x #s(literal 16500000000000000853670553207135151293055260237421717959098356316421054342450364528670464582297619936241014069307295838845619262383727286560909394443066272244471038433901626075755161648681801744384 binary64)) (*.f64 (sqrt.f64 x) #s(literal -3 binary64)) (if (<=.f64 x #s(literal 320000000000000021284692028545232390476341230581135630540596768493365339106929980545600774999618306203943370096972329387386953454647115898498607103935235116702226319534143319597081853678082771707760943588551688638166572461109287741806310404937699277868649916194095104 binary64)) (*.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) y)) (/.f64 (sqrt.f64 x) #s(literal -1/3 binary64))))))
(if (<=.f64 x #s(literal 2600 binary64)) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 3 binary64)) (*.f64 (sqrt.f64 x) #s(literal -3 binary64)))
(if (<=.f64 x #s(literal 2600 binary64)) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1/3 binary64)) (*.f64 (sqrt.f64 x) #s(literal -3 binary64)))
(if (<=.f64 x #s(literal 2600 binary64)) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (*.f64 (sqrt.f64 x) #s(literal -3 binary64)))
(*.f64 (sqrt.f64 x) #s(literal -3 binary64))
Outputs
(*.f64 (sqrt.f64 x) (+.f64 (*.f64 #s(literal 3 binary64) y) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))))
(if (<=.f64 x #s(literal 7926335344172073/72057594037927936 binary64)) (/.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) (*.f64 (sqrt.f64 x) (+.f64 (*.f64 #s(literal 3 binary64) y) #s(literal -3 binary64))))
(if (<=.f64 x #s(literal 5476377146882523/144115188075855872 binary64)) (*.f64 (sqrt.f64 x) (+.f64 #s(literal -3 binary64) (*.f64 #s(literal 3 binary64) (/.f64 #s(literal 1/9 binary64) x)))) (*.f64 (sqrt.f64 x) (+.f64 (*.f64 #s(literal 3 binary64) y) #s(literal -3 binary64))))
(if (<=.f64 x #s(literal 7566047373982433/18014398509481984 binary64)) (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64)) (pow.f64 x #s(literal -1/2 binary64))) (*.f64 (sqrt.f64 x) (+.f64 (*.f64 #s(literal 3 binary64) y) #s(literal -3 binary64))))
(if (<=.f64 x #s(literal 7566047373982433/18014398509481984 binary64)) (/.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)) (pow.f64 x #s(literal -1/2 binary64))) (*.f64 (sqrt.f64 x) (+.f64 (*.f64 #s(literal 3 binary64) y) #s(literal -3 binary64))))
(if (<=.f64 x #s(literal 5764607523034235/36028797018963968 binary64)) (*.f64 (sqrt.f64 x) (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64))) (*.f64 (sqrt.f64 x) (+.f64 (*.f64 #s(literal 3 binary64) y) #s(literal -3 binary64))))
(if (<=.f64 x #s(literal 5764607523034235/36028797018963968 binary64)) (*.f64 (sqrt.f64 x) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))) (*.f64 (sqrt.f64 x) (+.f64 (*.f64 #s(literal 3 binary64) y) #s(literal -3 binary64))))
(if (<=.f64 x #s(literal 1470053796651389/38685626227668133590597632 binary64)) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 3 binary64)) (*.f64 (sqrt.f64 x) (+.f64 (*.f64 #s(literal 3 binary64) y) #s(literal -3 binary64))))
(if (<=.f64 x #s(literal 1419768672255617/1267650600228229401496703205376 binary64)) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 3 binary64)) (if (<=.f64 x #s(literal 800000000000000039181381260120416463657781602824595110996033899672134610874707804928985223397821171034490451745208221409642746334930068173681820958720 binary64)) (*.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) y)) (if (<=.f64 x #s(literal 62000000000000003480723827922682087110081689649031027539117908231149836188916882375752195991417937322465720545912474063758257085385040501668156556749555023860216940292716455369192454403933784331653428019200 binary64)) (*.f64 (sqrt.f64 x) #s(literal -3 binary64)) (if (<=.f64 x #s(literal 22999999999999999560912595156534995261695630507873977207985824648728272349210925317829405335085404803420136450276685363949971020746530700089803208546550375857376976358951702185780149559541367185652731093747361754021721829709744292472102999891688262040892599156342784 binary64)) (*.f64 (*.f64 (sqrt.f64 x) y) #s(literal 3 binary64)) (/.f64 (sqrt.f64 x) #s(literal -1/3 binary64))))))
(if (<=.f64 x #s(literal 1419768672255617/1267650600228229401496703205376 binary64)) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 3 binary64)) (if (<=.f64 x #s(literal 800000000000000039181381260120416463657781602824595110996033899672134610874707804928985223397821171034490451745208221409642746334930068173681820958720 binary64)) (*.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) y)) (if (<=.f64 x #s(literal 62000000000000003480723827922682087110081689649031027539117908231149836188916882375752195991417937322465720545912474063758257085385040501668156556749555023860216940292716455369192454403933784331653428019200 binary64)) (*.f64 (sqrt.f64 x) #s(literal -3 binary64)) (if (<=.f64 x #s(literal 22999999999999999560912595156534995261695630507873977207985824648728272349210925317829405335085404803420136450276685363949971020746530700089803208546550375857376976358951702185780149559541367185652731093747361754021721829709744292472102999891688262040892599156342784 binary64)) (*.f64 #s(literal 3 binary64) (*.f64 (sqrt.f64 x) y)) (/.f64 (sqrt.f64 x) #s(literal -1/3 binary64))))))
(if (<=.f64 x #s(literal 4410161389954167/77371252455336267181195264 binary64)) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 3 binary64)) (if (<=.f64 x #s(literal 184999999999999989186198048944845393762789123715563633185451883005327917942778546044222298560021679851189374011606905398879684918611775395077157814272 binary64)) (*.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) y)) (if (<=.f64 x #s(literal 16500000000000000853670553207135151293055260237421717959098356316421054342450364528670464582297619936241014069307295838845619262383727286560909394443066272244471038433901626075755161648681801744384 binary64)) (*.f64 (sqrt.f64 x) #s(literal -3 binary64)) (if (<=.f64 x #s(literal 320000000000000021284692028545232390476341230581135630540596768493365339106929980545600774999618306203943370096972329387386953454647115898498607103935235116702226319534143319597081853678082771707760943588551688638166572461109287741806310404937699277868649916194095104 binary64)) (*.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) y)) (/.f64 (sqrt.f64 x) #s(literal -1/3 binary64))))))
(if (<=.f64 x #s(literal 2600 binary64)) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 3 binary64)) (*.f64 (sqrt.f64 x) #s(literal -3 binary64)))
(if (<=.f64 x #s(literal 2600 binary64)) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1/3 binary64)) (*.f64 (sqrt.f64 x) #s(literal -3 binary64)))
(if (<=.f64 x #s(literal 2600 binary64)) (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal -1/2 binary64))) (*.f64 (sqrt.f64 x) #s(literal -3 binary64)))
(if (<=.f64 x #s(literal 2600 binary64)) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (*.f64 (sqrt.f64 x) #s(literal -3 binary64)))
(*.f64 (sqrt.f64 x) #s(literal -3 binary64))

soundness3.6s (30.8%)

Rules
7380×*-lowering-*.f32
7380×*-lowering-*.f64
5332×*-lowering-*.f32
5332×*-lowering-*.f64
4828×*-lowering-*.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
05273374
116773143
253033071
083293071
01962
111256
2107456
0827656
01213
12811
27211
320011
442611
561311
6126611
7288511
8603211
9766011
10784711
11787711
12787811
13787811
0822211
01301241
13861181
212631154
344371154
086151154
028104
117396
2142396
0843496
01441368
14191292
212801283
337681260
085221260
06966073
123865308
083065308
037163
1232153
22174153
08298153
02383
114277
2105473
0876673
Stop Event
1×fuel
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
Compiler

Compiled 726 to 483 computations (33.5% saved)

preprocess155.0ms (1.3%)

Compiler

Compiled 550 to 204 computations (62.9% saved)

end0.0ms (0%)

Profiling

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