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

Time bar (total: 12.5s)

analyze18.0ms (0.1%)

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

Compiled 17 to 13 computations (23.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 7.0ms
ival-mult: 2.0ms (29% of total)
ival-div: 1.0ms (14.5% of total)
ival-sub: 1.0ms (14.5% of total)
ival-add: 1.0ms (14.5% of total)
ival-sqrt: 1.0ms (14.5% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

sample1.1s (9%)

Results
766.0ms8256×0valid
19.0ms232×0invalid
Precisions
Click to see histograms. Total time spent on operations: 470.0ms
ival-mult: 194.0ms (41.3% of total)
ival-sqrt: 83.0ms (17.7% of total)
ival-div: 67.0ms (14.3% of total)
ival-sub: 54.0ms (11.5% of total)
ival-add: 50.0ms (10.6% of total)
const: 19.0ms (4% of total)
backward-pass: 3.0ms (0.6% of total)
Bogosity

preprocess325.0ms (2.6%)

Algorithm
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
iter limit
node limit
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)))

explain154.0ms (1.2%)

FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
20-0-(/.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
94.0ms512×0valid
Compiler

Compiled 120 to 38 computations (68.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 30.0ms
ival-mult: 10.0ms (33.4% of total)
ival-sub: 7.0ms (23.3% of total)
ival-div: 4.0ms (13.3% of total)
ival-sqrt: 4.0ms (13.3% of total)
ival-add: 3.0ms (10% of total)
const: 1.0ms (3.3% 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
99.4%
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64)))
99.4%
(*.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)

simplify189.0ms (1.5%)

Algorithm
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
iter limit
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)

localize142.0ms (1.1%)

Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64))))
accuracy99.7%
(*.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)))
accuracy99.6%
(*.f64 #s(literal 3 binary64) (sqrt.f64 x))
accuracy99.0%
(/.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
107.0ms239×0valid
5.0ms2valid
5.0ms10×1valid
Compiler

Compiled 91 to 20 computations (78% saved)

Precisions
Click to see histograms. Total time spent on operations: 73.0ms
...c/correct-round.rkt:119:19: 48.0ms (66.1% of total)
ival-mult: 9.0ms (12.4% of total)
ival-div: 4.0ms (5.5% of total)
ival-sqrt: 4.0ms (5.5% of total)
ival-add: 4.0ms (5.5% of total)
const: 1.0ms (1.4% of total)
backward-pass: 1.0ms (1.4% of total)
ival-sub: 1.0ms (1.4% 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
@-inf
(* (sqrt x) (+ (* 3 y) (+ -3 (/ 1/3 x))))
1.0ms
x
@0
(* (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))

rewrite365.0ms (2.9%)

Algorithm
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
iter limit
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))))))
(*.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 #s(literal 1 binary64) (+.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 #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))))))
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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))
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(*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1/9 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/9 binary64))
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(*.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 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))

simplify226.0ms (1.8%)

Algorithm
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
iter limit
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))

eval83.0ms (0.7%)

Compiler

Compiled 12903 to 1220 computations (90.5% saved)

prune69.0ms (0.6%)

Pruning

27 alts after pruning (25 fresh and 2 done)

PrunedKeptTotal
New49725522
Fresh000
Picked022
Done000
Total49727524
Accuracy
100.0%
Counts
524 → 27
Alt Table
Click to see full alt table
StatusAccuracyProgram
70.0%
(/.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)
68.5%
(/.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)))
48.0%
(/.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)))))
99.3%
(/.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)))))
48.0%
(/.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))))
68.8%
(/.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)))))
69.9%
(*.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)))
68.5%
(*.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 1 binary64) (+.f64 (+.f64 (*.f64 #s(literal 3 binary64) y) #s(literal 3 binary64)) (/.f64 #s(literal -1/3 binary64) x))))
99.4%
(*.f64 (*.f64 (+.f64 y (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64))) #s(literal 3 binary64)) (sqrt.f64 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))
70.7%
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (/.f64 (-.f64 #s(literal 1 binary64) (*.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 y (/.f64 #s(literal 1/9 binary64) x)))))
35.3%
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1/9 binary64) x))
62.3%
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)))
99.4%
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 9 binary64))) #s(literal 1 binary64)))
99.4%
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64)))
70.4%
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (*.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))) #s(literal 1 binary64)))
38.7%
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) y)
60.5%
(*.f64 (sqrt.f64 x) (/.f64 (+.f64 (*.f64 (+.f64 (*.f64 (*.f64 y (*.f64 y y)) #s(literal 27 binary64)) #s(literal -27 binary64)) x) (*.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 1/3 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)))) x)))
71.5%
(*.f64 (sqrt.f64 x) (/.f64 (+.f64 (*.f64 (+.f64 (*.f64 #s(literal 9 binary64) (*.f64 y y)) #s(literal -9 binary64)) (/.f64 x #s(literal 1/3 binary64))) (*.f64 (+.f64 (*.f64 #s(literal 3 binary64) y) #s(literal 3 binary64)) #s(literal 1 binary64))) (*.f64 (+.f64 (*.f64 #s(literal 3 binary64) y) #s(literal 3 binary64)) (/.f64 x #s(literal 1/3 binary64)))))
71.6%
(*.f64 (sqrt.f64 x) (/.f64 (+.f64 (*.f64 (+.f64 (*.f64 #s(literal 9 binary64) (*.f64 y y)) #s(literal -9 binary64)) x) (*.f64 (+.f64 (*.f64 #s(literal 3 binary64) y) #s(literal 3 binary64)) #s(literal 1/3 binary64))) (*.f64 (+.f64 (*.f64 #s(literal 3 binary64) y) #s(literal 3 binary64)) x)))
35.4%
(*.f64 (sqrt.f64 x) (/.f64 #s(literal 1/3 binary64) x))
62.3%
(*.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 1/3 binary64) x))))
99.4%
(*.f64 (sqrt.f64 x) (+.f64 (*.f64 #s(literal 3 binary64) y) (+.f64 #s(literal -3 binary64) (*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/3 binary64)))))
64.5%
(*.f64 (sqrt.f64 x) (+.f64 (*.f64 #s(literal 3 binary64) y) #s(literal -3 binary64)))
38.7%
(*.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) y))
35.4%
(*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
Compiler

Compiled 1172 to 731 computations (37.6% saved)

simplify190.0ms (1.5%)

Algorithm
egg-herbie
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
cost-diff128
(*.f64 (+.f64 (*.f64 #s(literal 9 binary64) (*.f64 y y)) #s(literal -9 binary64)) (/.f64 x #s(literal 1/3 binary64)))
cost-diff256
(+.f64 (*.f64 (+.f64 (*.f64 #s(literal 9 binary64) (*.f64 y y)) #s(literal -9 binary64)) (/.f64 x #s(literal 1/3 binary64))) (*.f64 (+.f64 (*.f64 #s(literal 3 binary64) y) #s(literal 3 binary64)) #s(literal 1 binary64)))
cost-diff384
(/.f64 (+.f64 (*.f64 (+.f64 (*.f64 #s(literal 9 binary64) (*.f64 y y)) #s(literal -9 binary64)) (/.f64 x #s(literal 1/3 binary64))) (*.f64 (+.f64 (*.f64 #s(literal 3 binary64) y) #s(literal 3 binary64)) #s(literal 1 binary64))) (*.f64 (+.f64 (*.f64 #s(literal 3 binary64) y) #s(literal 3 binary64)) (/.f64 x #s(literal 1/3 binary64))))
cost-diff384
(*.f64 (sqrt.f64 x) (/.f64 (+.f64 (*.f64 (+.f64 (*.f64 #s(literal 9 binary64) (*.f64 y y)) #s(literal -9 binary64)) (/.f64 x #s(literal 1/3 binary64))) (*.f64 (+.f64 (*.f64 #s(literal 3 binary64) y) #s(literal 3 binary64)) #s(literal 1 binary64))) (*.f64 (+.f64 (*.f64 #s(literal 3 binary64) y) #s(literal 3 binary64)) (/.f64 x #s(literal 1/3 binary64)))))
cost-diff128
(-.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) #s(literal 81 binary64)) (*.f64 y y))
cost-diff256
(*.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)))
cost-diff256
(-.f64 (*.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))) #s(literal 1 binary64))
cost-diff256
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (*.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))) #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-diff128
(*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/3 binary64))
cost-diff128
(+.f64 #s(literal -3 binary64) (*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/3 binary64)))
cost-diff128
(+.f64 (*.f64 #s(literal 3 binary64) y) (+.f64 #s(literal -3 binary64) (*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/3 binary64))))
cost-diff128
(*.f64 (sqrt.f64 x) (+.f64 (*.f64 #s(literal 3 binary64) y) (+.f64 #s(literal -3 binary64) (*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/3 binary64)))))
Rules
3260×*-lowering-*.f32
3260×*-lowering-*.f64
1572×sum4-define
1556×+-lowering-+.f64
1556×+-lowering-+.f32
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
041288
1114279
2306274
3983270
43008269
56859269
08005269
Stop Event
iter limit
node limit
Calls
Call 1
Inputs
(* (sqrt x) (+ (* 3 y) (+ -3 (* (/ 1 x) 1/3))))
(sqrt x)
x
(+ (* 3 y) (+ -3 (* (/ 1 x) 1/3)))
(* 3 y)
3
y
(+ -3 (* (/ 1 x) 1/3))
-3
(* (/ 1 x) 1/3)
(/ 1 x)
1
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
(* (* 3 (sqrt x)) (- (* (- (/ (/ (/ 1 x) x) 81) (* y y)) (/ 1 (- (/ 1/9 x) y))) 1))
(* 3 (sqrt x))
3
(sqrt x)
x
(- (* (- (/ (/ (/ 1 x) x) 81) (* y y)) (/ 1 (- (/ 1/9 x) y))) 1)
(* (- (/ (/ (/ 1 x) x) 81) (* y y)) (/ 1 (- (/ 1/9 x) y)))
(- (/ (/ (/ 1 x) x) 81) (* y y))
(/ (/ (/ 1 x) x) 81)
(/ (/ 1 x) x)
(/ 1 x)
1
81
(* y y)
y
(/ 1 (- (/ 1/9 x) y))
(- (/ 1/9 x) y)
(/ 1/9 x)
1/9
(* (sqrt x) (/ (+ (* (+ (* 9 (* y y)) -9) (/ x 1/3)) (* (+ (* 3 y) 3) 1)) (* (+ (* 3 y) 3) (/ x 1/3))))
(sqrt x)
x
(/ (+ (* (+ (* 9 (* y y)) -9) (/ x 1/3)) (* (+ (* 3 y) 3) 1)) (* (+ (* 3 y) 3) (/ x 1/3)))
(+ (* (+ (* 9 (* y y)) -9) (/ x 1/3)) (* (+ (* 3 y) 3) 1))
(* (+ (* 9 (* y y)) -9) (/ x 1/3))
(+ (* 9 (* y y)) -9)
(* 9 (* y y))
9
(* y y)
y
-9
(/ x 1/3)
1/3
(* (+ (* 3 y) 3) 1)
(+ (* 3 y) 3)
(* 3 y)
3
1
(* (+ (* 3 y) 3) (/ x 1/3))
Outputs
(* (sqrt x) (+ (* 3 y) (+ -3 (* (/ 1 x) 1/3))))
(*.f64 (sqrt.f64 x) (+.f64 (*.f64 #s(literal 3 binary64) y) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))))
(sqrt x)
(sqrt.f64 x)
x
(+ (* 3 y) (+ -3 (* (/ 1 x) 1/3)))
(+.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 x) 1/3))
(+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))
-3
#s(literal -3 binary64)
(* (/ 1 x) 1/3)
(/.f64 #s(literal 1/3 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
1
#s(literal 1 binary64)
1/3
#s(literal 1/3 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 (sqrt.f64 x) (/.f64 x #s(literal 1/3 binary64)))
(* 3 (sqrt x))
(/.f64 (sqrt.f64 x) #s(literal 1/3 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)
(* (* 3 (sqrt x)) (- (* (- (/ (/ (/ 1 x) x) 81) (* y y)) (/ 1 (- (/ 1/9 x) y))) 1))
(*.f64 (/.f64 (sqrt.f64 x) #s(literal 1/3 binary64)) (+.f64 (/.f64 (-.f64 (/.f64 (/.f64 #s(literal 1/81 binary64) x) x) (*.f64 y y)) (-.f64 (/.f64 #s(literal 1/9 binary64) x) y)) #s(literal -1 binary64)))
(* 3 (sqrt x))
(/.f64 (sqrt.f64 x) #s(literal 1/3 binary64))
3
#s(literal 3 binary64)
(sqrt x)
(sqrt.f64 x)
x
(- (* (- (/ (/ (/ 1 x) x) 81) (* y y)) (/ 1 (- (/ 1/9 x) y))) 1)
(+.f64 (/.f64 (-.f64 (/.f64 (/.f64 #s(literal 1/81 binary64) x) x) (*.f64 y y)) (-.f64 (/.f64 #s(literal 1/9 binary64) x) y)) #s(literal -1 binary64))
(* (- (/ (/ (/ 1 x) x) 81) (* y y)) (/ 1 (- (/ 1/9 x) y)))
(/.f64 (-.f64 (/.f64 (/.f64 #s(literal 1/81 binary64) x) x) (*.f64 y y)) (-.f64 (/.f64 #s(literal 1/9 binary64) x) y))
(- (/ (/ (/ 1 x) x) 81) (* y y))
(-.f64 (/.f64 (/.f64 #s(literal 1/81 binary64) x) x) (*.f64 y y))
(/ (/ (/ 1 x) x) 81)
(/.f64 (/.f64 #s(literal 1/81 binary64) x) x)
(/ (/ 1 x) x)
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
1
#s(literal 1 binary64)
81
#s(literal 81 binary64)
(* y y)
(*.f64 y y)
y
(/ 1 (- (/ 1/9 x) y))
(/.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1/9 binary64) x) y))
(- (/ 1/9 x) y)
(-.f64 (/.f64 #s(literal 1/9 binary64) x) y)
(/ 1/9 x)
(/.f64 #s(literal 1/9 binary64) x)
1/9
#s(literal 1/9 binary64)
(* (sqrt x) (/ (+ (* (+ (* 9 (* y y)) -9) (/ x 1/3)) (* (+ (* 3 y) 3) 1)) (* (+ (* 3 y) 3) (/ x 1/3))))
(/.f64 (*.f64 (sqrt.f64 x) (+.f64 (*.f64 #s(literal 3 binary64) y) (+.f64 #s(literal 3 binary64) (*.f64 x (+.f64 (*.f64 (*.f64 y y) #s(literal 27 binary64)) #s(literal -27 binary64)))))) (/.f64 (*.f64 x (+.f64 y #s(literal 1 binary64))) #s(literal 1/9 binary64)))
(sqrt x)
(sqrt.f64 x)
x
(/ (+ (* (+ (* 9 (* y y)) -9) (/ x 1/3)) (* (+ (* 3 y) 3) 1)) (* (+ (* 3 y) 3) (/ x 1/3)))
(/.f64 (+.f64 (*.f64 #s(literal 3 binary64) y) (+.f64 #s(literal 3 binary64) (*.f64 x (+.f64 (*.f64 (*.f64 y y) #s(literal 27 binary64)) #s(literal -27 binary64))))) (/.f64 (*.f64 x (+.f64 y #s(literal 1 binary64))) #s(literal 1/9 binary64)))
(+ (* (+ (* 9 (* y y)) -9) (/ x 1/3)) (* (+ (* 3 y) 3) 1))
(+.f64 (*.f64 #s(literal 3 binary64) y) (+.f64 #s(literal 3 binary64) (*.f64 x (+.f64 (*.f64 (*.f64 y y) #s(literal 27 binary64)) #s(literal -27 binary64)))))
(* (+ (* 9 (* y y)) -9) (/ x 1/3))
(*.f64 x (+.f64 (*.f64 (*.f64 y y) #s(literal 27 binary64)) #s(literal -27 binary64)))
(+ (* 9 (* y y)) -9)
(+.f64 (*.f64 y (*.f64 y #s(literal 9 binary64))) #s(literal -9 binary64))
(* 9 (* y y))
(*.f64 y (*.f64 y #s(literal 9 binary64)))
9
#s(literal 9 binary64)
(* y y)
(*.f64 y y)
y
-9
#s(literal -9 binary64)
(/ x 1/3)
(/.f64 x #s(literal 1/3 binary64))
1/3
#s(literal 1/3 binary64)
(* (+ (* 3 y) 3) 1)
(+.f64 #s(literal 3 binary64) (*.f64 #s(literal 3 binary64) y))
(+ (* 3 y) 3)
(+.f64 #s(literal 3 binary64) (*.f64 #s(literal 3 binary64) y))
(* 3 y)
(*.f64 #s(literal 3 binary64) y)
3
#s(literal 3 binary64)
1
#s(literal 1 binary64)
(* (+ (* 3 y) 3) (/ x 1/3))
(/.f64 (*.f64 x (+.f64 y #s(literal 1 binary64))) #s(literal 1/9 binary64))

localize854.0ms (6.8%)

Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
accuracy99.7%
(*.f64 (+.f64 (*.f64 #s(literal 3 binary64) y) #s(literal 3 binary64)) (/.f64 x #s(literal 1/3 binary64)))
accuracy99.7%
(*.f64 (sqrt.f64 x) (/.f64 (+.f64 (*.f64 (+.f64 (*.f64 #s(literal 9 binary64) (*.f64 y y)) #s(literal -9 binary64)) (/.f64 x #s(literal 1/3 binary64))) (*.f64 (+.f64 (*.f64 #s(literal 3 binary64) y) #s(literal 3 binary64)) #s(literal 1 binary64))) (*.f64 (+.f64 (*.f64 #s(literal 3 binary64) y) #s(literal 3 binary64)) (/.f64 x #s(literal 1/3 binary64)))))
accuracy96.5%
(*.f64 (+.f64 (*.f64 #s(literal 9 binary64) (*.f64 y y)) #s(literal -9 binary64)) (/.f64 x #s(literal 1/3 binary64)))
accuracy85.3%
(/.f64 (+.f64 (*.f64 (+.f64 (*.f64 #s(literal 9 binary64) (*.f64 y y)) #s(literal -9 binary64)) (/.f64 x #s(literal 1/3 binary64))) (*.f64 (+.f64 (*.f64 #s(literal 3 binary64) y) #s(literal 3 binary64)) #s(literal 1 binary64))) (*.f64 (+.f64 (*.f64 #s(literal 3 binary64) y) #s(literal 3 binary64)) (/.f64 x #s(literal 1/3 binary64))))
accuracy99.7%
(*.f64 #s(literal 3 binary64) (sqrt.f64 x))
accuracy99.6%
(/.f64 #s(literal 1/9 binary64) x)
accuracy97.1%
(-.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) #s(literal 81 binary64)) (*.f64 y y))
accuracy75.8%
(*.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)))
accuracy100.0%
(sqrt.f64 x)
accuracy99.7%
(*.f64 #s(literal 3 binary64) (sqrt.f64 x))
accuracy99.6%
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1/9 binary64) x))
accuracy99.6%
(/.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))
accuracy99.6%
(*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
accuracy100.0%
(sqrt.f64 x)
accuracy99.9%
(+.f64 (*.f64 #s(literal 3 binary64) y) (+.f64 #s(literal -3 binary64) (*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/3 binary64))))
accuracy99.7%
(*.f64 (sqrt.f64 x) (+.f64 (*.f64 #s(literal 3 binary64) y) (+.f64 #s(literal -3 binary64) (*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/3 binary64)))))
accuracy99.6%
(*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/3 binary64))
Results
557.0ms91×5exit
91.0ms132×0valid
47.0ms18×1valid
21.0ms11×2valid
8.0ms3valid
4.0ms4valid
Compiler

Compiled 354 to 42 computations (88.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 338.0ms
backward-pass: 105.0ms (31% of total)
ival-mult: 86.0ms (25.4% of total)
ival-div: 84.0ms (24.8% of total)
...c/correct-round.rkt:119:19: 32.0ms (9.5% of total)
ival-add: 16.0ms (4.7% of total)
ival-sqrt: 8.0ms (2.4% of total)
ival-sub: 7.0ms (2.1% of total)
const: 2.0ms (0.6% of total)

series53.0ms (0.4%)

Counts
20 → 372
Calls
Call 1
Inputs
#<alt (* (sqrt x) (+ (* 3 y) (+ -3 (* (/ 1 x) 1/3))))>
#<alt (+ (* 3 y) (+ -3 (* (/ 1 x) 1/3)))>
#<alt (+ -3 (* (/ 1 x) 1/3))>
#<alt (* (/ 1 x) 1/3)>
#<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 (sqrt x)>
#<alt (/ 1/9 x)>
#<alt (* (* 3 (sqrt x)) (- (* (- (/ (/ (/ 1 x) x) 81) (* y y)) (/ 1 (- (/ 1/9 x) y))) 1))>
#<alt (- (* (- (/ (/ (/ 1 x) x) 81) (* y y)) (/ 1 (- (/ 1/9 x) y))) 1)>
#<alt (* (- (/ (/ (/ 1 x) x) 81) (* y y)) (/ 1 (- (/ 1/9 x) y)))>
#<alt (- (/ (/ (/ 1 x) x) 81) (* y y))>
#<alt (* (sqrt x) (/ (+ (* (+ (* 9 (* y y)) -9) (/ x 1/3)) (* (+ (* 3 y) 3) 1)) (* (+ (* 3 y) 3) (/ x 1/3))))>
#<alt (/ (+ (* (+ (* 9 (* y y)) -9) (/ x 1/3)) (* (+ (* 3 y) 3) 1)) (* (+ (* 3 y) 3) (/ x 1/3)))>
#<alt (+ (* (+ (* 9 (* y y)) -9) (/ x 1/3)) (* (+ (* 3 y) 3) 1))>
#<alt (* (+ (* 9 (* y y)) -9) (/ x 1/3))>
#<alt (* (+ (* 3 y) 3) (/ x 1/3))>
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 (- (* 1/3 (/ 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 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 (* 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 (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 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 (/ (+ (* -3 (* (sqrt (pow x 3)) (+ 1 (* -1 y)))) (* 1/3 (sqrt x))) x)>
#<alt (/ (+ (* 1/3 (sqrt x)) (* x (+ (* -3 (* (sqrt x) (+ 1 (* -1 y)))) (* -3 (* (sqrt (pow x 3)) (+ (* -9 (pow y 2)) (* 9 (pow y 2)))))))) x)>
#<alt (/ (+ (* 1/3 (sqrt x)) (* x (+ (* -3 (* (sqrt x) (+ 1 (* -1 y)))) (* -3 (* (sqrt (pow x 3)) (+ (* -9 (pow y 2)) (* 9 (pow y 2)))))))) x)>
#<alt (* -3 (* (sqrt x) (+ 1 (* -1 y))))>
#<alt (* x (+ (* -3 (* (sqrt (/ 1 x)) (+ 1 (* -1 y)))) (* 1/3 (sqrt (/ 1 (pow x 3))))))>
#<alt (* x (+ (* -3 (* (sqrt (/ 1 x)) (+ 1 (* -1 y)))) (* 1/3 (sqrt (/ 1 (pow x 3))))))>
#<alt (* x (+ (* -3 (* (sqrt (/ 1 x)) (+ 1 (* -1 y)))) (* 1/3 (sqrt (/ 1 (pow x 3))))))>
#<alt (* 3 (* (sqrt x) (* (pow (sqrt -1) 2) (+ 1 (* -1 y)))))>
#<alt (* -1 (* x (+ (* -3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (+ 1 (* -1 y))))) (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))))))>
#<alt (* -1 (* x (+ (* -3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (+ 1 (* -1 y))))) (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))))))>
#<alt (* -1 (* x (+ (* -3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (+ 1 (* -1 y))))) (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))))))>
#<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) (- (* 1/9 (/ 1 x)) 1))) (* y (+ (* -3 (* (sqrt x) (* y (+ (* -9 x) (* 9 x))))) (* 3 (sqrt x)))))>
#<alt (+ (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1))) (* y (+ (* -3 (* (sqrt x) (* y (+ (* -9 x) (* 9 x))))) (* 3 (sqrt x)))))>
#<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 x)>
#<alt (/ (+ 1/9 (* -1 (* x (+ 1 (* -1 y))))) x)>
#<alt (/ (+ 1/9 (* x (- (* -1 (* x (+ (* -9 (pow y 2)) (* 9 (pow y 2))))) (+ 1 (* -1 y))))) x)>
#<alt (/ (+ 1/9 (* x (- (* -1 (* x (+ (* -9 (pow y 2)) (* 9 (pow y 2))))) (+ 1 (* -1 y))))) x)>
#<alt (* -1 (+ 1 (* -1 y)))>
#<alt (- (* 1/9 (/ 1 x)) (+ 1 (* -1 y)))>
#<alt (- (* 1/9 (/ 1 x)) (+ 1 (* -1 y)))>
#<alt (- (* 1/9 (/ 1 x)) (+ 1 (* -1 y)))>
#<alt (* -1 (+ 1 (* -1 y)))>
#<alt (- (* 1/9 (/ 1 x)) (+ 1 (* -1 y)))>
#<alt (- (* 1/9 (/ 1 x)) (+ 1 (* -1 y)))>
#<alt (- (* 1/9 (/ 1 x)) (+ 1 (* -1 y)))>
#<alt (- (* 1/9 (/ 1 x)) 1)>
#<alt (- (+ y (* 1/9 (/ 1 x))) 1)>
#<alt (- (+ (* 1/9 (/ 1 x)) (* y (+ 1 (* -1 (* y (+ (* -9 x) (* 9 x))))))) 1)>
#<alt (- (+ (* 1/9 (/ 1 x)) (* y (+ 1 (* -1 (* y (+ (* -9 x) (* 9 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)) 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 (+ 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 (/ 1/81 (pow x 2))>
#<alt (/ (+ 1/81 (* -1 (* (pow x 2) (pow y 2)))) (pow x 2))>
#<alt (/ (+ 1/81 (* -1 (* (pow x 2) (pow y 2)))) (pow x 2))>
#<alt (/ (+ 1/81 (* -1 (* (pow x 2) (pow y 2)))) (pow x 2))>
#<alt (* -1 (pow y 2))>
#<alt (- (* 1/81 (/ 1 (pow x 2))) (pow y 2))>
#<alt (- (* 1/81 (/ 1 (pow x 2))) (pow y 2))>
#<alt (- (* 1/81 (/ 1 (pow x 2))) (pow y 2))>
#<alt (* -1 (pow y 2))>
#<alt (- (* 1/81 (/ 1 (pow x 2))) (pow y 2))>
#<alt (- (* 1/81 (/ 1 (pow x 2))) (pow y 2))>
#<alt (- (* 1/81 (/ 1 (pow x 2))) (pow y 2))>
#<alt (/ 1/81 (pow x 2))>
#<alt (+ (* -1 (pow y 2)) (* 1/81 (/ 1 (pow x 2))))>
#<alt (+ (* -1 (pow y 2)) (* 1/81 (/ 1 (pow x 2))))>
#<alt (+ (* -1 (pow y 2)) (* 1/81 (/ 1 (pow x 2))))>
#<alt (* -1 (pow y 2))>
#<alt (* (pow y 2) (- (* 1/81 (/ 1 (* (pow x 2) (pow y 2)))) 1))>
#<alt (* (pow y 2) (- (* 1/81 (/ 1 (* (pow x 2) (pow y 2)))) 1))>
#<alt (* (pow y 2) (- (* 1/81 (/ 1 (* (pow x 2) (pow y 2)))) 1))>
#<alt (* -1 (pow y 2))>
#<alt (* (pow y 2) (- (* 1/81 (/ 1 (* (pow x 2) (pow y 2)))) 1))>
#<alt (* (pow y 2) (- (* 1/81 (/ 1 (* (pow x 2) (pow y 2)))) 1))>
#<alt (* (pow y 2) (- (* 1/81 (/ 1 (* (pow x 2) (pow y 2)))) 1))>
#<alt (* 1/3 (sqrt (/ 1 x)))>
#<alt (/ (+ (* 1/3 (sqrt x)) (* (sqrt (pow x 3)) (/ (- (* 9 (pow y 2)) 9) (+ 3 (* 3 y))))) x)>
#<alt (/ (+ (* 1/3 (sqrt x)) (* (sqrt (pow x 3)) (/ (- (* 9 (pow y 2)) 9) (+ 3 (* 3 y))))) x)>
#<alt (/ (+ (* 1/3 (sqrt x)) (* (sqrt (pow x 3)) (/ (- (* 9 (pow y 2)) 9) (+ 3 (* 3 y))))) x)>
#<alt (* (sqrt x) (/ (- (* 9 (pow y 2)) 9) (+ 3 (* 3 y))))>
#<alt (* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (/ (- (* 9 (pow y 2)) 9) (+ 3 (* 3 y))))))>
#<alt (* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (/ (- (* 9 (pow y 2)) 9) (+ 3 (* 3 y))))))>
#<alt (* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (/ (- (* 9 (pow y 2)) 9) (+ 3 (* 3 y))))))>
#<alt (* -1 (* (sqrt x) (/ (* (pow (sqrt -1) 2) (- (* 9 (pow y 2)) 9)) (+ 3 (* 3 y)))))>
#<alt (* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (/ (* (pow (sqrt -1) 2) (- (* 9 (pow y 2)) 9)) (+ 3 (* 3 y)))))))>
#<alt (* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (/ (* (pow (sqrt -1) 2) (- (* 9 (pow y 2)) 9)) (+ 3 (* 3 y)))))))>
#<alt (* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (/ (* (pow (sqrt -1) 2) (- (* 9 (pow y 2)) 9)) (+ 3 (* 3 y)))))))>
#<alt (* 1/9 (* (sqrt (/ 1 x)) (+ 3 (* -27 x))))>
#<alt (+ (* 1/9 (* (sqrt (/ 1 x)) (+ 3 (* -27 x)))) (* 1/3 (* (sqrt (/ 1 x)) (* y (- 1 (* 1/3 (+ 3 (* -27 x))))))))>
#<alt (+ (* 1/9 (* (sqrt (/ 1 x)) (+ 3 (* -27 x)))) (* y (+ (* 1/3 (* (sqrt (/ 1 x)) (* y (- (+ (* 1/3 (+ 3 (* -27 x))) (* 9 x)) 1)))) (* 1/3 (* (sqrt (/ 1 x)) (- 1 (* 1/3 (+ 3 (* -27 x)))))))))>
#<alt (+ (* 1/9 (* (sqrt (/ 1 x)) (+ 3 (* -27 x)))) (* y (+ (* 1/3 (* (sqrt (/ 1 x)) (- 1 (* 1/3 (+ 3 (* -27 x)))))) (* y (+ (* 1/3 (* (sqrt (/ 1 x)) (* y (- 1 (+ (* 1/3 (+ 3 (* -27 x))) (* 9 x)))))) (* 1/3 (* (sqrt (/ 1 x)) (- (+ (* 1/3 (+ 3 (* -27 x))) (* 9 x)) 1))))))))>
#<alt (* 3 (* (sqrt x) y))>
#<alt (* y (+ (* 1/3 (* (sqrt (/ 1 x)) (/ (- 1 (* 9 x)) y))) (* 3 (sqrt x))))>
#<alt (* y (+ (* 1/3 (* (sqrt (/ 1 x)) (/ (- 1 (* 9 x)) y))) (+ (* 1/3 (* (sqrt (/ 1 x)) (/ (- (+ (* 1/3 (+ 3 (* -27 x))) (* 9 x)) 1) (pow y 2)))) (* 3 (sqrt x)))))>
#<alt (* y (+ (* 1/3 (* (sqrt (/ 1 x)) (/ (- 1 (* 9 x)) y))) (+ (* 1/3 (* (sqrt (/ 1 x)) (/ (- 1 (+ (* 1/3 (+ 3 (* -27 x))) (* 9 x))) (pow y 3)))) (+ (* 1/3 (* (sqrt (/ 1 x)) (/ (- (+ (* 1/3 (+ 3 (* -27 x))) (* 9 x)) 1) (pow y 2)))) (* 3 (sqrt x))))))>
#<alt (* 3 (* (sqrt x) y))>
#<alt (* -1 (* y (+ (* -3 (sqrt x)) (* -1/3 (* (sqrt (/ 1 x)) (/ (- 1 (* 9 x)) y))))))>
#<alt (* -1 (* y (+ (* -3 (sqrt x)) (* -1 (/ (+ (* -1/3 (* (sqrt (/ 1 x)) (/ (- (* -1/3 (+ 3 (* -27 x))) (* -1 (- 1 (* 9 x)))) y))) (* 1/3 (* (sqrt (/ 1 x)) (- 1 (* 9 x))))) y)))))>
#<alt (* -1 (* y (+ (* -3 (sqrt x)) (* -1 (/ (+ (* -1 (/ (+ (* -1/3 (* (sqrt (/ 1 x)) (/ (- (* -1/3 (+ 3 (* -27 x))) (* -1 (- 1 (* 9 x)))) y))) (* 1/3 (* (sqrt (/ 1 x)) (- (* -1/3 (+ 3 (* -27 x))) (* -1 (- 1 (* 9 x))))))) y)) (* 1/3 (* (sqrt (/ 1 x)) (- 1 (* 9 x))))) y)))))>
#<alt (* 1/9 (/ (+ 3 (* -27 x)) x))>
#<alt (+ (* 1/9 (/ (+ 3 (* -27 x)) x)) (* 1/3 (* y (- (/ 1 x) (* 1/3 (/ (+ 3 (* -27 x)) x))))))>
#<alt (+ (* 1/9 (/ (+ 3 (* -27 x)) x)) (* y (+ (* 1/3 (* y (- (+ 9 (* 1/3 (/ (+ 3 (* -27 x)) x))) (/ 1 x)))) (* 1/3 (- (/ 1 x) (* 1/3 (/ (+ 3 (* -27 x)) x)))))))>
#<alt (+ (* 1/9 (/ (+ 3 (* -27 x)) x)) (* y (+ (* 1/3 (- (/ 1 x) (* 1/3 (/ (+ 3 (* -27 x)) x)))) (* y (+ (* 1/3 (* y (- (/ 1 x) (+ 9 (* 1/3 (/ (+ 3 (* -27 x)) x)))))) (* 1/3 (- (+ 9 (* 1/3 (/ (+ 3 (* -27 x)) x))) (/ 1 x))))))))>
#<alt (* 3 y)>
#<alt (* y (+ 3 (* 1/3 (/ (- (/ 1 x) 9) y))))>
#<alt (* y (+ 3 (+ (* 1/3 (/ (- (+ 9 (* 1/3 (/ (+ 3 (* -27 x)) x))) (/ 1 x)) (pow y 2))) (* 1/3 (/ (- (/ 1 x) 9) y)))))>
#<alt (* y (+ 3 (+ (* 1/3 (/ (- (+ 9 (* 1/3 (/ (+ 3 (* -27 x)) x))) (/ 1 x)) (pow y 2))) (+ (* 1/3 (/ (- (/ 1 x) 9) y)) (* 1/3 (/ (- (/ 1 x) (+ 9 (* 1/3 (/ (+ 3 (* -27 x)) x)))) (pow y 3)))))))>
#<alt (* 3 y)>
#<alt (* -1 (* y (- (* -1/3 (/ (- (/ 1 x) 9) y)) 3)))>
#<alt (* -1 (* y (- (* -1 (/ (+ (* -1/3 (/ (- (* -1/3 (/ (+ 3 (* -27 x)) x)) (* -1 (- (/ 1 x) 9))) y)) (* 1/3 (- (/ 1 x) 9))) y)) 3)))>
#<alt (* -1 (* y (- (* -1 (/ (+ (* -1 (/ (+ (* -1/3 (/ (- (* -1/3 (/ (+ 3 (* -27 x)) x)) (* -1 (- (/ 1 x) 9))) y)) (* 1/3 (- (* -1/3 (/ (+ 3 (* -27 x)) x)) (* -1 (- (/ 1 x) 9))))) y)) (* 1/3 (- (/ 1 x) 9))) y)) 3)))>
#<alt (/ 1/3 x)>
#<alt (/ (+ 1/3 (* x (- (* 9 (/ (pow y 2) (+ 3 (* 3 y)))) (* 9 (/ 1 (+ 3 (* 3 y))))))) x)>
#<alt (/ (+ 1/3 (* x (- (* 9 (/ (pow y 2) (+ 3 (* 3 y)))) (* 9 (/ 1 (+ 3 (* 3 y))))))) x)>
#<alt (/ (+ 1/3 (* x (- (* 9 (/ (pow y 2) (+ 3 (* 3 y)))) (* 9 (/ 1 (+ 3 (* 3 y))))))) x)>
#<alt (/ (- (* 9 (pow y 2)) 9) (+ 3 (* 3 y)))>
#<alt (- (+ (* 9 (/ (pow y 2) (+ 3 (* 3 y)))) (* 1/3 (/ 1 x))) (* 9 (/ 1 (+ 3 (* 3 y)))))>
#<alt (- (+ (* 9 (/ (pow y 2) (+ 3 (* 3 y)))) (* 1/3 (/ 1 x))) (* 9 (/ 1 (+ 3 (* 3 y)))))>
#<alt (- (+ (* 9 (/ (pow y 2) (+ 3 (* 3 y)))) (* 1/3 (/ 1 x))) (* 9 (/ 1 (+ 3 (* 3 y)))))>
#<alt (/ (- (* 9 (pow y 2)) 9) (+ 3 (* 3 y)))>
#<alt (- (+ (* 9 (/ (pow y 2) (+ 3 (* 3 y)))) (* 1/3 (/ 1 x))) (* 9 (/ 1 (+ 3 (* 3 y)))))>
#<alt (- (+ (* 9 (/ (pow y 2) (+ 3 (* 3 y)))) (* 1/3 (/ 1 x))) (* 9 (/ 1 (+ 3 (* 3 y)))))>
#<alt (- (+ (* 9 (/ (pow y 2) (+ 3 (* 3 y)))) (* 1/3 (/ 1 x))) (* 9 (/ 1 (+ 3 (* 3 y)))))>
#<alt (+ 3 (* -27 x))>
#<alt (+ 3 (+ (* -27 x) (* 3 y)))>
#<alt (+ 3 (+ (* -27 x) (* y (+ 3 (* 27 (* x y))))))>
#<alt (+ 3 (+ (* -27 x) (* y (+ 3 (* 27 (* x y))))))>
#<alt (* 27 (* x (pow y 2)))>
#<alt (* (pow y 2) (+ (* 27 x) (* 3 (/ 1 y))))>
#<alt (* (pow y 2) (+ (* -27 (/ x (pow y 2))) (+ (* 27 x) (+ (* 3 (/ 1 y)) (/ 3 (pow y 2))))))>
#<alt (* (pow y 2) (+ (* -27 (/ x (pow y 2))) (+ (* 27 x) (+ (* 3 (/ 1 y)) (/ 3 (pow y 2))))))>
#<alt (* 27 (* x (pow y 2)))>
#<alt (* (pow y 2) (+ (* 27 x) (* 3 (/ 1 y))))>
#<alt (* (pow y 2) (+ (* -1 (/ (- (* -1 (/ (+ 3 (* -27 x)) y)) 3) y)) (* 27 x)))>
#<alt (* (pow y 2) (+ (* -1 (/ (- (* -1 (/ (+ 3 (* -27 x)) y)) 3) y)) (* 27 x)))>
#<alt (+ 3 (* 3 y))>
#<alt (+ 3 (+ (* 3 y) (* 3 (* x (- (* 9 (pow y 2)) 9)))))>
#<alt (+ 3 (+ (* 3 y) (* 3 (* x (- (* 9 (pow y 2)) 9)))))>
#<alt (+ 3 (+ (* 3 y) (* 3 (* x (- (* 9 (pow y 2)) 9)))))>
#<alt (* 3 (* x (- (* 9 (pow y 2)) 9)))>
#<alt (* x (+ (* 3 (- (* 9 (pow y 2)) 9)) (+ (* 3 (/ y x)) (* 3 (/ 1 x)))))>
#<alt (* x (+ (* 3 (- (* 9 (pow y 2)) 9)) (+ (* 3 (/ y x)) (* 3 (/ 1 x)))))>
#<alt (* x (+ (* 3 (- (* 9 (pow y 2)) 9)) (+ (* 3 (/ y x)) (* 3 (/ 1 x)))))>
#<alt (* 3 (* x (- (* 9 (pow y 2)) 9)))>
#<alt (* -1 (* x (+ (* -3 (- (* 9 (pow y 2)) 9)) (* -1 (/ (+ 3 (* 3 y)) x)))))>
#<alt (* -1 (* x (+ (* -3 (- (* 9 (pow y 2)) 9)) (* -1 (/ (+ 3 (* 3 y)) x)))))>
#<alt (* -1 (* x (+ (* -3 (- (* 9 (pow y 2)) 9)) (* -1 (/ (+ 3 (* 3 y)) x)))))>
#<alt (* -27 x)>
#<alt (+ (* -27 x) (* 27 (* x (pow y 2))))>
#<alt (+ (* -27 x) (* 27 (* x (pow y 2))))>
#<alt (+ (* -27 x) (* 27 (* x (pow y 2))))>
#<alt (* 27 (* x (pow y 2)))>
#<alt (* (pow y 2) (+ (* -27 (/ x (pow y 2))) (* 27 x)))>
#<alt (* (pow y 2) (+ (* -27 (/ x (pow y 2))) (* 27 x)))>
#<alt (* (pow y 2) (+ (* -27 (/ x (pow y 2))) (* 27 x)))>
#<alt (* 27 (* x (pow y 2)))>
#<alt (* (pow y 2) (+ (* -27 (/ x (pow y 2))) (* 27 x)))>
#<alt (* (pow y 2) (+ (* -27 (/ x (pow y 2))) (* 27 x)))>
#<alt (* (pow y 2) (+ (* -27 (/ x (pow y 2))) (* 27 x)))>
#<alt (* 3 (* x (- (* 9 (pow y 2)) 9)))>
#<alt (* 3 (* x (- (* 9 (pow y 2)) 9)))>
#<alt (* 3 (* x (- (* 9 (pow y 2)) 9)))>
#<alt (* 3 (* x (- (* 9 (pow y 2)) 9)))>
#<alt (* 3 (* x (- (* 9 (pow y 2)) 9)))>
#<alt (* 3 (* x (- (* 9 (pow y 2)) 9)))>
#<alt (* 3 (* x (- (* 9 (pow y 2)) 9)))>
#<alt (* 3 (* x (- (* 9 (pow y 2)) 9)))>
#<alt (* 3 (* x (- (* 9 (pow y 2)) 9)))>
#<alt (* 3 (* x (- (* 9 (pow y 2)) 9)))>
#<alt (* 3 (* x (- (* 9 (pow y 2)) 9)))>
#<alt (* 3 (* x (- (* 9 (pow y 2)) 9)))>
#<alt (* 9 x)>
#<alt (+ (* 9 x) (* 9 (* x y)))>
#<alt (+ (* 9 x) (* 9 (* x y)))>
#<alt (+ (* 9 x) (* 9 (* x y)))>
#<alt (* 9 (* x y))>
#<alt (* y (+ (* 9 x) (* 9 (/ x y))))>
#<alt (* y (+ (* 9 x) (* 9 (/ x y))))>
#<alt (* y (+ (* 9 x) (* 9 (/ x y))))>
#<alt (* 9 (* x y))>
#<alt (* -1 (* y (+ (* -9 x) (* -9 (/ x y)))))>
#<alt (* -1 (* y (+ (* -9 x) (* -9 (/ x y)))))>
#<alt (* -1 (* y (+ (* -9 x) (* -9 (/ x y)))))>
#<alt (* 3 (* x (+ 3 (* 3 y))))>
#<alt (* 3 (* x (+ 3 (* 3 y))))>
#<alt (* 3 (* x (+ 3 (* 3 y))))>
#<alt (* 3 (* x (+ 3 (* 3 y))))>
#<alt (* 3 (* x (+ 3 (* 3 y))))>
#<alt (* 3 (* x (+ 3 (* 3 y))))>
#<alt (* 3 (* x (+ 3 (* 3 y))))>
#<alt (* 3 (* x (+ 3 (* 3 y))))>
#<alt (* 3 (* x (+ 3 (* 3 y))))>
#<alt (* 3 (* x (+ 3 (* 3 y))))>
#<alt (* 3 (* x (+ 3 (* 3 y))))>
#<alt (* 3 (* x (+ 3 (* 3 y))))>
Calls

93 calls:

TimeVariablePointExpression
9.0ms
y
@-inf
(* (* 3 (sqrt x)) (- (* (- (/ (/ (/ 1 x) x) 81) (* y y)) (/ 1 (- (/ 1/9 x) y))) 1))
6.0ms
y
@0
(/ (+ (* (+ (* 9 (* y y)) -9) (/ x 1/3)) (* (+ (* 3 y) 3) 1)) (* (+ (* 3 y) 3) (/ x 1/3)))
5.0ms
x
@inf
(* (* 3 (sqrt x)) (- (* (- (/ (/ (/ 1 x) x) 81) (* y y)) (/ 1 (- (/ 1/9 x) y))) 1))
3.0ms
y
@inf
(* (* 3 (sqrt x)) (- (* (- (/ (/ (/ 1 x) x) 81) (* y y)) (/ 1 (- (/ 1/9 x) y))) 1))
2.0ms
x
@0
(/ (+ (* (+ (* 9 (* y y)) -9) (/ x 1/3)) (* (+ (* 3 y) 3) 1)) (* (+ (* 3 y) 3) (/ x 1/3)))

rewrite742.0ms (5.9%)

Algorithm
batch-egg-rewrite
Rules
6166×*-lowering-*.f32
6166×*-lowering-*.f64
3604×/-lowering-/.f32
3604×/-lowering-/.f64
3220×+-lowering-+.f64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
041166
1264130
22549128
011550128
Stop Event
iter limit
node limit
Counts
20 → 1152
Calls
Call 1
Inputs
(* (sqrt x) (+ (* 3 y) (+ -3 (* (/ 1 x) 1/3))))
(+ (* 3 y) (+ -3 (* (/ 1 x) 1/3)))
(+ -3 (* (/ 1 x) 1/3))
(* (/ 1 x) 1/3)
(* 1/3 (sqrt (/ 1 x)))
(sqrt (/ 1 x))
(/ 1 x)
(* (* 3 (sqrt x)) (/ 1/9 x))
(* 3 (sqrt x))
(sqrt x)
(/ 1/9 x)
(* (* 3 (sqrt x)) (- (* (- (/ (/ (/ 1 x) x) 81) (* y y)) (/ 1 (- (/ 1/9 x) y))) 1))
(- (* (- (/ (/ (/ 1 x) x) 81) (* y y)) (/ 1 (- (/ 1/9 x) y))) 1)
(* (- (/ (/ (/ 1 x) x) 81) (* y y)) (/ 1 (- (/ 1/9 x) y)))
(- (/ (/ (/ 1 x) x) 81) (* y y))
(* (sqrt x) (/ (+ (* (+ (* 9 (* y y)) -9) (/ x 1/3)) (* (+ (* 3 y) 3) 1)) (* (+ (* 3 y) 3) (/ x 1/3))))
(/ (+ (* (+ (* 9 (* y y)) -9) (/ x 1/3)) (* (+ (* 3 y) 3) 1)) (* (+ (* 3 y) 3) (/ x 1/3)))
(+ (* (+ (* 9 (* y y)) -9) (/ x 1/3)) (* (+ (* 3 y) 3) 1))
(* (+ (* 9 (* y y)) -9) (/ x 1/3))
(* (+ (* 3 y) 3) (/ x 1/3))
Outputs
(+.f64 (*.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))))
(+.f64 (*.f64 (sqrt.f64 x) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))) (*.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64))))
(+.f64 (*.f64 (sqrt.f64 x) (+.f64 (*.f64 #s(literal 3 binary64) y) #s(literal -3 binary64))) (*.f64 (sqrt.f64 x) (/.f64 #s(literal 1/3 binary64) 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)))
(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 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64))))
(fma.f64 (sqrt.f64 x) (+.f64 (*.f64 #s(literal 3 binary64) y) #s(literal -3 binary64)) (*.f64 (sqrt.f64 x) (/.f64 #s(literal 1/3 binary64) x)))
(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 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64))))
(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 (+.f64 #s(literal 3 binary64) (*.f64 #s(literal 3 binary64) y)) (/.f64 #s(literal 1/3 binary64) x)) (*.f64 (sqrt.f64 x) (+.f64 (/.f64 (+.f64 #s(literal -9 binary64) (*.f64 y (*.f64 y #s(literal 9 binary64)))) (/.f64 #s(literal 1/3 binary64) x)) (+.f64 #s(literal 3 binary64) (*.f64 #s(literal 3 binary64) y))))))
(/.f64 (*.f64 (sqrt.f64 x) (+.f64 (/.f64 (+.f64 #s(literal -9 binary64) (*.f64 y (*.f64 y #s(literal 9 binary64)))) (/.f64 #s(literal 1/3 binary64) x)) (+.f64 #s(literal 3 binary64) (*.f64 #s(literal 3 binary64) y)))) (/.f64 (+.f64 #s(literal 3 binary64) (*.f64 #s(literal 3 binary64) y)) (/.f64 #s(literal 1/3 binary64) x)))
(/.f64 (neg.f64 (*.f64 (sqrt.f64 x) (+.f64 (/.f64 (+.f64 #s(literal -9 binary64) (*.f64 y (*.f64 y #s(literal 9 binary64)))) (/.f64 #s(literal 1/3 binary64) x)) (+.f64 #s(literal 3 binary64) (*.f64 #s(literal 3 binary64) y))))) (/.f64 (*.f64 x (+.f64 #s(literal 3 binary64) (*.f64 #s(literal 3 binary64) y))) #s(literal -1/3 binary64)))
(/.f64 (+.f64 (pow.f64 (*.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) #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 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) #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 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)))))))
(/.f64 (-.f64 (pow.f64 (*.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) #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 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)))))
(/.f64 (*.f64 (sqrt.f64 x) (+.f64 (*.f64 #s(literal 27 binary64) (*.f64 y (*.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) (/.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 (+.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 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 (*.f64 #s(literal 3 binary64) y) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))))
(/.f64 (*.f64 (sqrt.f64 x) (-.f64 #s(literal 0 binary64) (+.f64 (/.f64 (+.f64 #s(literal -9 binary64) (*.f64 y (*.f64 y #s(literal 9 binary64)))) (/.f64 #s(literal 1/3 binary64) x)) (+.f64 #s(literal 3 binary64) (*.f64 #s(literal 3 binary64) y))))) (/.f64 (*.f64 x (+.f64 #s(literal 3 binary64) (*.f64 #s(literal 3 binary64) y))) #s(literal -1/3 binary64)))
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(/.f64 (*.f64 (+.f64 (*.f64 #s(literal 27 binary64) (*.f64 y (*.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) (/.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 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)) (*.f64 #s(literal 3 binary64) y)))))
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(/.f64 (*.f64 (+.f64 (*.f64 #s(literal 81 binary64) (*.f64 y (*.f64 y (*.f64 y y)))) #s(literal -81 binary64)) #s(literal 1 binary64)) (*.f64 (+.f64 (*.f64 y (*.f64 y #s(literal 9 binary64))) #s(literal 9 binary64)) (/.f64 #s(literal 1/3 binary64) x)))
(/.f64 (*.f64 (+.f64 (*.f64 #s(literal 81 binary64) (*.f64 y (*.f64 y (*.f64 y y)))) #s(literal -81 binary64)) (-.f64 #s(literal 0 binary64) x)) (*.f64 (+.f64 (*.f64 y (*.f64 y #s(literal 9 binary64))) #s(literal 9 binary64)) #s(literal -1/3 binary64)))
(/.f64 (*.f64 x (+.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 729 binary64))) #s(literal -729 binary64))) (*.f64 #s(literal 1/3 binary64) (+.f64 (*.f64 #s(literal 81 binary64) (*.f64 y (*.f64 y (*.f64 y y)))) (-.f64 #s(literal 81 binary64) (*.f64 (*.f64 y y) #s(literal -81 binary64))))))
(/.f64 (*.f64 x (+.f64 (*.f64 #s(literal 81 binary64) (*.f64 y (*.f64 y (*.f64 y y)))) #s(literal -81 binary64))) (*.f64 #s(literal 1/3 binary64) (+.f64 (*.f64 y (*.f64 y #s(literal 9 binary64))) #s(literal 9 binary64))))
(/.f64 (*.f64 #s(literal 1 binary64) (+.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 729 binary64))) #s(literal -729 binary64))) (*.f64 (/.f64 #s(literal 1/3 binary64) x) (+.f64 (*.f64 #s(literal 81 binary64) (*.f64 y (*.f64 y (*.f64 y y)))) (-.f64 #s(literal 81 binary64) (*.f64 (*.f64 y y) #s(literal -81 binary64))))))
(/.f64 (*.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 81 binary64) (*.f64 y (*.f64 y (*.f64 y y)))) #s(literal -81 binary64))) (*.f64 (/.f64 #s(literal 1/3 binary64) x) (+.f64 (*.f64 y (*.f64 y #s(literal 9 binary64))) #s(literal 9 binary64))))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) x) (+.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 729 binary64))) #s(literal -729 binary64))) (*.f64 #s(literal -1/3 binary64) (+.f64 (*.f64 #s(literal 81 binary64) (*.f64 y (*.f64 y (*.f64 y y)))) (-.f64 #s(literal 81 binary64) (*.f64 (*.f64 y y) #s(literal -81 binary64))))))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) x) (+.f64 (*.f64 #s(literal 81 binary64) (*.f64 y (*.f64 y (*.f64 y y)))) #s(literal -81 binary64))) (*.f64 #s(literal -1/3 binary64) (+.f64 (*.f64 y (*.f64 y #s(literal 9 binary64))) #s(literal 9 binary64))))
(/.f64 (*.f64 #s(literal 1 binary64) (+.f64 #s(literal -9 binary64) (*.f64 y (*.f64 y #s(literal 9 binary64))))) (/.f64 #s(literal 1/3 binary64) x))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) x) (+.f64 #s(literal -9 binary64) (*.f64 y (*.f64 y #s(literal 9 binary64))))) #s(literal -1/3 binary64))
(/.f64 (*.f64 (+.f64 #s(literal -9 binary64) (*.f64 y (*.f64 y #s(literal 9 binary64)))) #s(literal 1 binary64)) (/.f64 #s(literal 1/3 binary64) x))
(/.f64 (*.f64 (+.f64 #s(literal -9 binary64) (*.f64 y (*.f64 y #s(literal 9 binary64)))) (-.f64 #s(literal 0 binary64) x)) #s(literal -1/3 binary64))
(/.f64 (neg.f64 (*.f64 x (+.f64 #s(literal -9 binary64) (*.f64 y (*.f64 y #s(literal 9 binary64)))))) #s(literal -1/3 binary64))
(/.f64 (*.f64 (/.f64 x #s(literal 1/3 binary64)) (+.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 729 binary64))) #s(literal -729 binary64))) (+.f64 (*.f64 #s(literal 81 binary64) (*.f64 y (*.f64 y (*.f64 y y)))) (-.f64 #s(literal 81 binary64) (*.f64 (*.f64 y y) #s(literal -81 binary64)))))
(/.f64 (*.f64 (/.f64 x #s(literal 1/3 binary64)) (+.f64 (*.f64 #s(literal 81 binary64) (*.f64 y (*.f64 y (*.f64 y y)))) #s(literal -81 binary64))) (+.f64 (*.f64 y (*.f64 y #s(literal 9 binary64))) #s(literal 9 binary64)))
(/.f64 (*.f64 (+.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 729 binary64))) #s(literal -729 binary64)) (/.f64 x #s(literal 1/3 binary64))) (+.f64 (*.f64 #s(literal 81 binary64) (*.f64 y (*.f64 y (*.f64 y y)))) (-.f64 #s(literal 81 binary64) (*.f64 (*.f64 y y) #s(literal -81 binary64)))))
(/.f64 (*.f64 (+.f64 (*.f64 #s(literal 81 binary64) (*.f64 y (*.f64 y (*.f64 y y)))) #s(literal -81 binary64)) (/.f64 x #s(literal 1/3 binary64))) (+.f64 (*.f64 y (*.f64 y #s(literal 9 binary64))) #s(literal 9 binary64)))
(pow.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x (+.f64 #s(literal -9 binary64) (*.f64 y (*.f64 y #s(literal 9 binary64)))))) #s(literal -1 binary64))
(*.f64 x (*.f64 #s(literal 3 binary64) (+.f64 #s(literal -9 binary64) (*.f64 y (*.f64 y #s(literal 9 binary64))))))
(*.f64 (/.f64 x #s(literal 1/3 binary64)) (+.f64 #s(literal -9 binary64) (*.f64 y (*.f64 y #s(literal 9 binary64)))))
(*.f64 (+.f64 #s(literal -9 binary64) (*.f64 y (*.f64 y #s(literal 9 binary64)))) (/.f64 x #s(literal 1/3 binary64)))
(*.f64 (*.f64 x (+.f64 #s(literal -9 binary64) (*.f64 y (*.f64 y #s(literal 9 binary64))))) #s(literal 3 binary64))
(+.f64 (*.f64 (/.f64 x #s(literal 1/3 binary64)) #s(literal 3 binary64)) (*.f64 (/.f64 x #s(literal 1/3 binary64)) (*.f64 #s(literal 3 binary64) y)))
(+.f64 (*.f64 (/.f64 x #s(literal 1/3 binary64)) (*.f64 #s(literal 3 binary64) y)) (*.f64 (/.f64 x #s(literal 1/3 binary64)) #s(literal 3 binary64)))
(+.f64 (*.f64 #s(literal 3 binary64) (/.f64 x #s(literal 1/3 binary64))) (*.f64 (*.f64 #s(literal 3 binary64) y) (/.f64 x #s(literal 1/3 binary64))))
(+.f64 (*.f64 (*.f64 #s(literal 3 binary64) y) (/.f64 x #s(literal 1/3 binary64))) (*.f64 #s(literal 3 binary64) (/.f64 x #s(literal 1/3 binary64))))
(fma.f64 #s(literal 3 binary64) (/.f64 x #s(literal 1/3 binary64)) (*.f64 (*.f64 #s(literal 3 binary64) y) (/.f64 x #s(literal 1/3 binary64))))
(fma.f64 (*.f64 #s(literal 3 binary64) y) (/.f64 x #s(literal 1/3 binary64)) (*.f64 #s(literal 3 binary64) (/.f64 x #s(literal 1/3 binary64))))
(fma.f64 (/.f64 x #s(literal 1/3 binary64)) #s(literal 3 binary64) (*.f64 (/.f64 x #s(literal 1/3 binary64)) (*.f64 #s(literal 3 binary64) y)))
(fma.f64 (/.f64 x #s(literal 1/3 binary64)) (*.f64 #s(literal 3 binary64) y) (*.f64 (/.f64 x #s(literal 1/3 binary64)) #s(literal 3 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x (+.f64 #s(literal 3 binary64) (*.f64 #s(literal 3 binary64) y)))))
(/.f64 (/.f64 (+.f64 #s(literal -9 binary64) (*.f64 y (*.f64 y #s(literal 9 binary64)))) (/.f64 #s(literal 1/3 binary64) x)) (+.f64 (*.f64 #s(literal 3 binary64) y) #s(literal -3 binary64)))
(/.f64 (+.f64 #s(literal 3 binary64) (*.f64 #s(literal 3 binary64) y)) (/.f64 #s(literal 1/3 binary64) x))
(/.f64 (*.f64 x (+.f64 #s(literal -9 binary64) (*.f64 y (*.f64 y #s(literal 9 binary64))))) (*.f64 #s(literal 1/3 binary64) (+.f64 (*.f64 #s(literal 3 binary64) y) #s(literal -3 binary64))))
(/.f64 (*.f64 x (+.f64 #s(literal -9 binary64) (*.f64 y (*.f64 y #s(literal 9 binary64))))) (*.f64 (+.f64 (*.f64 #s(literal 3 binary64) y) #s(literal -3 binary64)) #s(literal 1/3 binary64)))
(/.f64 (*.f64 x (+.f64 #s(literal 3 binary64) (*.f64 #s(literal 3 binary64) y))) #s(literal 1/3 binary64))
(/.f64 (*.f64 x (+.f64 (*.f64 #s(literal 27 binary64) (*.f64 y (*.f64 y y))) #s(literal 27 binary64))) (*.f64 #s(literal 1/3 binary64) (+.f64 (*.f64 y (*.f64 y #s(literal 9 binary64))) (-.f64 #s(literal 9 binary64) (*.f64 y #s(literal 9 binary64))))))
(/.f64 (*.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 27 binary64) (*.f64 y (*.f64 y y))) #s(literal 27 binary64))) (*.f64 (/.f64 #s(literal 1/3 binary64) x) (+.f64 (*.f64 y (*.f64 y #s(literal 9 binary64))) (-.f64 #s(literal 9 binary64) (*.f64 y #s(literal 9 binary64))))))
(/.f64 (*.f64 #s(literal 1 binary64) (+.f64 #s(literal -9 binary64) (*.f64 y (*.f64 y #s(literal 9 binary64))))) (*.f64 (/.f64 #s(literal 1/3 binary64) x) (+.f64 (*.f64 #s(literal 3 binary64) y) #s(literal -3 binary64))))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) x) (+.f64 (*.f64 #s(literal 27 binary64) (*.f64 y (*.f64 y y))) #s(literal 27 binary64))) (*.f64 #s(literal -1/3 binary64) (+.f64 (*.f64 y (*.f64 y #s(literal 9 binary64))) (-.f64 #s(literal 9 binary64) (*.f64 y #s(literal 9 binary64))))))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) x) (+.f64 #s(literal -9 binary64) (*.f64 y (*.f64 y #s(literal 9 binary64))))) (*.f64 #s(literal -1/3 binary64) (+.f64 (*.f64 #s(literal 3 binary64) y) #s(literal -3 binary64))))
(/.f64 (*.f64 (+.f64 (*.f64 #s(literal 27 binary64) (*.f64 y (*.f64 y y))) #s(literal 27 binary64)) x) (*.f64 (+.f64 (*.f64 y (*.f64 y #s(literal 9 binary64))) (-.f64 #s(literal 9 binary64) (*.f64 y #s(literal 9 binary64)))) #s(literal 1/3 binary64)))
(/.f64 (*.f64 (+.f64 (*.f64 #s(literal 27 binary64) (*.f64 y (*.f64 y y))) #s(literal 27 binary64)) #s(literal 1 binary64)) (*.f64 (+.f64 (*.f64 y (*.f64 y #s(literal 9 binary64))) (-.f64 #s(literal 9 binary64) (*.f64 y #s(literal 9 binary64)))) (/.f64 #s(literal 1/3 binary64) x)))
(/.f64 (*.f64 (+.f64 (*.f64 #s(literal 27 binary64) (*.f64 y (*.f64 y y))) #s(literal 27 binary64)) (-.f64 #s(literal 0 binary64) x)) (*.f64 (+.f64 (*.f64 y (*.f64 y #s(literal 9 binary64))) (-.f64 #s(literal 9 binary64) (*.f64 y #s(literal 9 binary64)))) #s(literal -1/3 binary64)))
(/.f64 (*.f64 (+.f64 #s(literal -9 binary64) (*.f64 y (*.f64 y #s(literal 9 binary64)))) #s(literal 1 binary64)) (*.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 (*.f64 y #s(literal 9 binary64)))) (-.f64 #s(literal 0 binary64) x)) (*.f64 (+.f64 (*.f64 #s(literal 3 binary64) y) #s(literal -3 binary64)) #s(literal -1/3 binary64)))
(/.f64 (neg.f64 (*.f64 x (+.f64 #s(literal 3 binary64) (*.f64 #s(literal 3 binary64) y)))) #s(literal -1/3 binary64))
(/.f64 (*.f64 (/.f64 x #s(literal 1/3 binary64)) (+.f64 (*.f64 #s(literal 27 binary64) (*.f64 y (*.f64 y y))) #s(literal 27 binary64))) (+.f64 (*.f64 y (*.f64 y #s(literal 9 binary64))) (-.f64 #s(literal 9 binary64) (*.f64 y #s(literal 9 binary64)))))
(/.f64 (*.f64 (+.f64 #s(literal 3 binary64) (*.f64 #s(literal 3 binary64) y)) (-.f64 #s(literal 0 binary64) x)) #s(literal -1/3 binary64))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) x) (+.f64 #s(literal 3 binary64) (*.f64 #s(literal 3 binary64) y))) #s(literal -1/3 binary64))
(/.f64 (*.f64 (+.f64 (*.f64 #s(literal 27 binary64) (*.f64 y (*.f64 y y))) #s(literal 27 binary64)) (/.f64 x #s(literal 1/3 binary64))) (+.f64 (*.f64 y (*.f64 y #s(literal 9 binary64))) (-.f64 #s(literal 9 binary64) (*.f64 y #s(literal 9 binary64)))))
(pow.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x (+.f64 #s(literal 3 binary64) (*.f64 #s(literal 3 binary64) y)))) #s(literal -1 binary64))
(*.f64 x (*.f64 #s(literal 3 binary64) (+.f64 #s(literal 3 binary64) (*.f64 #s(literal 3 binary64) y))))
(*.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 3 binary64) (*.f64 #s(literal 3 binary64) y)) (/.f64 #s(literal 1/3 binary64) x)))
(*.f64 (/.f64 x #s(literal 1/3 binary64)) (+.f64 #s(literal 3 binary64) (*.f64 #s(literal 3 binary64) y)))
(*.f64 (+.f64 #s(literal 3 binary64) (*.f64 #s(literal 3 binary64) y)) (/.f64 x #s(literal 1/3 binary64)))
(*.f64 (/.f64 (+.f64 #s(literal 3 binary64) (*.f64 #s(literal 3 binary64) y)) (/.f64 #s(literal 1/3 binary64) x)) #s(literal 1 binary64))
(*.f64 (*.f64 x (+.f64 #s(literal 3 binary64) (*.f64 #s(literal 3 binary64) y))) #s(literal 3 binary64))
(*.f64 (*.f64 (/.f64 x #s(literal 1/3 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal 3 binary64) (*.f64 #s(literal 3 binary64) y)))

simplify344.0ms (2.8%)

Algorithm
egg-herbie
Rules
3910×*-lowering-*.f32
3910×*-lowering-*.f64
1932×+-lowering-+.f64
1932×+-lowering-+.f32
1526×sum4-define
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
04224004
114703397
257493359
081083359
Stop Event
iter limit
node limit
Counts
372 → 372
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))))))
(- (* 1/3 (/ 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)
(/ 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)))
(* 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))
(* 3 (sqrt x))
(* 3 (sqrt x))
(* 3 (sqrt x))
(* 3 (sqrt x))
(* 3 (sqrt x))
(* 3 (sqrt x))
(* -3 (* (sqrt x) (pow (sqrt -1) 2)))
(* -3 (* (sqrt x) (pow (sqrt -1) 2)))
(* -3 (* (sqrt x) (pow (sqrt -1) 2)))
(* -3 (* (sqrt x) (pow (sqrt -1) 2)))
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(/ 1/9 x)
(/ 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)))
(/ (+ (* -3 (* (sqrt (pow x 3)) (+ 1 (* -1 y)))) (* 1/3 (sqrt x))) x)
(/ (+ (* 1/3 (sqrt x)) (* x (+ (* -3 (* (sqrt x) (+ 1 (* -1 y)))) (* -3 (* (sqrt (pow x 3)) (+ (* -9 (pow y 2)) (* 9 (pow y 2)))))))) x)
(/ (+ (* 1/3 (sqrt x)) (* x (+ (* -3 (* (sqrt x) (+ 1 (* -1 y)))) (* -3 (* (sqrt (pow x 3)) (+ (* -9 (pow y 2)) (* 9 (pow y 2)))))))) x)
(* -3 (* (sqrt x) (+ 1 (* -1 y))))
(* x (+ (* -3 (* (sqrt (/ 1 x)) (+ 1 (* -1 y)))) (* 1/3 (sqrt (/ 1 (pow x 3))))))
(* x (+ (* -3 (* (sqrt (/ 1 x)) (+ 1 (* -1 y)))) (* 1/3 (sqrt (/ 1 (pow x 3))))))
(* x (+ (* -3 (* (sqrt (/ 1 x)) (+ 1 (* -1 y)))) (* 1/3 (sqrt (/ 1 (pow x 3))))))
(* 3 (* (sqrt x) (* (pow (sqrt -1) 2) (+ 1 (* -1 y)))))
(* -1 (* x (+ (* -3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (+ 1 (* -1 y))))) (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))))))
(* -1 (* x (+ (* -3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (+ 1 (* -1 y))))) (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))))))
(* -1 (* x (+ (* -3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (+ 1 (* -1 y))))) (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))))))
(* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1)))
(+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1))))
(+ (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1))) (* y (+ (* -3 (* (sqrt x) (* y (+ (* -9 x) (* 9 x))))) (* 3 (sqrt x)))))
(+ (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1))) (* y (+ (* -3 (* (sqrt x) (* y (+ (* -9 x) (* 9 x))))) (* 3 (sqrt x)))))
(* 3 (* (sqrt x) y))
(* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))
(* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))
(* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))
(* 3 (* (sqrt x) y))
(* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))))
(* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))))
(* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))))
(/ 1/9 x)
(/ (+ 1/9 (* -1 (* x (+ 1 (* -1 y))))) x)
(/ (+ 1/9 (* x (- (* -1 (* x (+ (* -9 (pow y 2)) (* 9 (pow y 2))))) (+ 1 (* -1 y))))) x)
(/ (+ 1/9 (* x (- (* -1 (* x (+ (* -9 (pow y 2)) (* 9 (pow y 2))))) (+ 1 (* -1 y))))) x)
(* -1 (+ 1 (* -1 y)))
(- (* 1/9 (/ 1 x)) (+ 1 (* -1 y)))
(- (* 1/9 (/ 1 x)) (+ 1 (* -1 y)))
(- (* 1/9 (/ 1 x)) (+ 1 (* -1 y)))
(* -1 (+ 1 (* -1 y)))
(- (* 1/9 (/ 1 x)) (+ 1 (* -1 y)))
(- (* 1/9 (/ 1 x)) (+ 1 (* -1 y)))
(- (* 1/9 (/ 1 x)) (+ 1 (* -1 y)))
(- (* 1/9 (/ 1 x)) 1)
(- (+ y (* 1/9 (/ 1 x))) 1)
(- (+ (* 1/9 (/ 1 x)) (* y (+ 1 (* -1 (* y (+ (* -9 x) (* 9 x))))))) 1)
(- (+ (* 1/9 (/ 1 x)) (* y (+ 1 (* -1 (* y (+ (* -9 x) (* 9 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)) x)
(/ (+ 1/9 (* x y)) x)
(/ (+ 1/9 (* x y)) x)
y
(+ y (* 1/9 (/ 1 x)))
(+ y (* 1/9 (/ 1 x)))
(+ y (* 1/9 (/ 1 x)))
y
(+ y (* 1/9 (/ 1 x)))
(+ y (* 1/9 (/ 1 x)))
(+ y (* 1/9 (/ 1 x)))
(/ 1/9 x)
(+ y (* 1/9 (/ 1 x)))
(+ y (* 1/9 (/ 1 x)))
(+ y (* 1/9 (/ 1 x)))
y
(* y (+ 1 (* 1/9 (/ 1 (* x y)))))
(* y (+ 1 (* 1/9 (/ 1 (* x y)))))
(* y (+ 1 (* 1/9 (/ 1 (* x y)))))
y
(* y (+ 1 (* 1/9 (/ 1 (* x y)))))
(* y (+ 1 (* 1/9 (/ 1 (* x y)))))
(* y (+ 1 (* 1/9 (/ 1 (* x y)))))
(/ 1/81 (pow x 2))
(/ (+ 1/81 (* -1 (* (pow x 2) (pow y 2)))) (pow x 2))
(/ (+ 1/81 (* -1 (* (pow x 2) (pow y 2)))) (pow x 2))
(/ (+ 1/81 (* -1 (* (pow x 2) (pow y 2)))) (pow x 2))
(* -1 (pow y 2))
(- (* 1/81 (/ 1 (pow x 2))) (pow y 2))
(- (* 1/81 (/ 1 (pow x 2))) (pow y 2))
(- (* 1/81 (/ 1 (pow x 2))) (pow y 2))
(* -1 (pow y 2))
(- (* 1/81 (/ 1 (pow x 2))) (pow y 2))
(- (* 1/81 (/ 1 (pow x 2))) (pow y 2))
(- (* 1/81 (/ 1 (pow x 2))) (pow y 2))
(/ 1/81 (pow x 2))
(+ (* -1 (pow y 2)) (* 1/81 (/ 1 (pow x 2))))
(+ (* -1 (pow y 2)) (* 1/81 (/ 1 (pow x 2))))
(+ (* -1 (pow y 2)) (* 1/81 (/ 1 (pow x 2))))
(* -1 (pow y 2))
(* (pow y 2) (- (* 1/81 (/ 1 (* (pow x 2) (pow y 2)))) 1))
(* (pow y 2) (- (* 1/81 (/ 1 (* (pow x 2) (pow y 2)))) 1))
(* (pow y 2) (- (* 1/81 (/ 1 (* (pow x 2) (pow y 2)))) 1))
(* -1 (pow y 2))
(* (pow y 2) (- (* 1/81 (/ 1 (* (pow x 2) (pow y 2)))) 1))
(* (pow y 2) (- (* 1/81 (/ 1 (* (pow x 2) (pow y 2)))) 1))
(* (pow y 2) (- (* 1/81 (/ 1 (* (pow x 2) (pow y 2)))) 1))
(* 1/3 (sqrt (/ 1 x)))
(/ (+ (* 1/3 (sqrt x)) (* (sqrt (pow x 3)) (/ (- (* 9 (pow y 2)) 9) (+ 3 (* 3 y))))) x)
(/ (+ (* 1/3 (sqrt x)) (* (sqrt (pow x 3)) (/ (- (* 9 (pow y 2)) 9) (+ 3 (* 3 y))))) x)
(/ (+ (* 1/3 (sqrt x)) (* (sqrt (pow x 3)) (/ (- (* 9 (pow y 2)) 9) (+ 3 (* 3 y))))) x)
(* (sqrt x) (/ (- (* 9 (pow y 2)) 9) (+ 3 (* 3 y))))
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (/ (- (* 9 (pow y 2)) 9) (+ 3 (* 3 y))))))
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (/ (- (* 9 (pow y 2)) 9) (+ 3 (* 3 y))))))
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (/ (- (* 9 (pow y 2)) 9) (+ 3 (* 3 y))))))
(* -1 (* (sqrt x) (/ (* (pow (sqrt -1) 2) (- (* 9 (pow y 2)) 9)) (+ 3 (* 3 y)))))
(* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (/ (* (pow (sqrt -1) 2) (- (* 9 (pow y 2)) 9)) (+ 3 (* 3 y)))))))
(* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (/ (* (pow (sqrt -1) 2) (- (* 9 (pow y 2)) 9)) (+ 3 (* 3 y)))))))
(* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (/ (* (pow (sqrt -1) 2) (- (* 9 (pow y 2)) 9)) (+ 3 (* 3 y)))))))
(* 1/9 (* (sqrt (/ 1 x)) (+ 3 (* -27 x))))
(+ (* 1/9 (* (sqrt (/ 1 x)) (+ 3 (* -27 x)))) (* 1/3 (* (sqrt (/ 1 x)) (* y (- 1 (* 1/3 (+ 3 (* -27 x))))))))
(+ (* 1/9 (* (sqrt (/ 1 x)) (+ 3 (* -27 x)))) (* y (+ (* 1/3 (* (sqrt (/ 1 x)) (* y (- (+ (* 1/3 (+ 3 (* -27 x))) (* 9 x)) 1)))) (* 1/3 (* (sqrt (/ 1 x)) (- 1 (* 1/3 (+ 3 (* -27 x)))))))))
(+ (* 1/9 (* (sqrt (/ 1 x)) (+ 3 (* -27 x)))) (* y (+ (* 1/3 (* (sqrt (/ 1 x)) (- 1 (* 1/3 (+ 3 (* -27 x)))))) (* y (+ (* 1/3 (* (sqrt (/ 1 x)) (* y (- 1 (+ (* 1/3 (+ 3 (* -27 x))) (* 9 x)))))) (* 1/3 (* (sqrt (/ 1 x)) (- (+ (* 1/3 (+ 3 (* -27 x))) (* 9 x)) 1))))))))
(* 3 (* (sqrt x) y))
(* y (+ (* 1/3 (* (sqrt (/ 1 x)) (/ (- 1 (* 9 x)) y))) (* 3 (sqrt x))))
(* y (+ (* 1/3 (* (sqrt (/ 1 x)) (/ (- 1 (* 9 x)) y))) (+ (* 1/3 (* (sqrt (/ 1 x)) (/ (- (+ (* 1/3 (+ 3 (* -27 x))) (* 9 x)) 1) (pow y 2)))) (* 3 (sqrt x)))))
(* y (+ (* 1/3 (* (sqrt (/ 1 x)) (/ (- 1 (* 9 x)) y))) (+ (* 1/3 (* (sqrt (/ 1 x)) (/ (- 1 (+ (* 1/3 (+ 3 (* -27 x))) (* 9 x))) (pow y 3)))) (+ (* 1/3 (* (sqrt (/ 1 x)) (/ (- (+ (* 1/3 (+ 3 (* -27 x))) (* 9 x)) 1) (pow y 2)))) (* 3 (sqrt x))))))
(* 3 (* (sqrt x) y))
(* -1 (* y (+ (* -3 (sqrt x)) (* -1/3 (* (sqrt (/ 1 x)) (/ (- 1 (* 9 x)) y))))))
(* -1 (* y (+ (* -3 (sqrt x)) (* -1 (/ (+ (* -1/3 (* (sqrt (/ 1 x)) (/ (- (* -1/3 (+ 3 (* -27 x))) (* -1 (- 1 (* 9 x)))) y))) (* 1/3 (* (sqrt (/ 1 x)) (- 1 (* 9 x))))) y)))))
(* -1 (* y (+ (* -3 (sqrt x)) (* -1 (/ (+ (* -1 (/ (+ (* -1/3 (* (sqrt (/ 1 x)) (/ (- (* -1/3 (+ 3 (* -27 x))) (* -1 (- 1 (* 9 x)))) y))) (* 1/3 (* (sqrt (/ 1 x)) (- (* -1/3 (+ 3 (* -27 x))) (* -1 (- 1 (* 9 x))))))) y)) (* 1/3 (* (sqrt (/ 1 x)) (- 1 (* 9 x))))) y)))))
(* 1/9 (/ (+ 3 (* -27 x)) x))
(+ (* 1/9 (/ (+ 3 (* -27 x)) x)) (* 1/3 (* y (- (/ 1 x) (* 1/3 (/ (+ 3 (* -27 x)) x))))))
(+ (* 1/9 (/ (+ 3 (* -27 x)) x)) (* y (+ (* 1/3 (* y (- (+ 9 (* 1/3 (/ (+ 3 (* -27 x)) x))) (/ 1 x)))) (* 1/3 (- (/ 1 x) (* 1/3 (/ (+ 3 (* -27 x)) x)))))))
(+ (* 1/9 (/ (+ 3 (* -27 x)) x)) (* y (+ (* 1/3 (- (/ 1 x) (* 1/3 (/ (+ 3 (* -27 x)) x)))) (* y (+ (* 1/3 (* y (- (/ 1 x) (+ 9 (* 1/3 (/ (+ 3 (* -27 x)) x)))))) (* 1/3 (- (+ 9 (* 1/3 (/ (+ 3 (* -27 x)) x))) (/ 1 x))))))))
(* 3 y)
(* y (+ 3 (* 1/3 (/ (- (/ 1 x) 9) y))))
(* y (+ 3 (+ (* 1/3 (/ (- (+ 9 (* 1/3 (/ (+ 3 (* -27 x)) x))) (/ 1 x)) (pow y 2))) (* 1/3 (/ (- (/ 1 x) 9) y)))))
(* y (+ 3 (+ (* 1/3 (/ (- (+ 9 (* 1/3 (/ (+ 3 (* -27 x)) x))) (/ 1 x)) (pow y 2))) (+ (* 1/3 (/ (- (/ 1 x) 9) y)) (* 1/3 (/ (- (/ 1 x) (+ 9 (* 1/3 (/ (+ 3 (* -27 x)) x)))) (pow y 3)))))))
(* 3 y)
(* -1 (* y (- (* -1/3 (/ (- (/ 1 x) 9) y)) 3)))
(* -1 (* y (- (* -1 (/ (+ (* -1/3 (/ (- (* -1/3 (/ (+ 3 (* -27 x)) x)) (* -1 (- (/ 1 x) 9))) y)) (* 1/3 (- (/ 1 x) 9))) y)) 3)))
(* -1 (* y (- (* -1 (/ (+ (* -1 (/ (+ (* -1/3 (/ (- (* -1/3 (/ (+ 3 (* -27 x)) x)) (* -1 (- (/ 1 x) 9))) y)) (* 1/3 (- (* -1/3 (/ (+ 3 (* -27 x)) x)) (* -1 (- (/ 1 x) 9))))) y)) (* 1/3 (- (/ 1 x) 9))) y)) 3)))
(/ 1/3 x)
(/ (+ 1/3 (* x (- (* 9 (/ (pow y 2) (+ 3 (* 3 y)))) (* 9 (/ 1 (+ 3 (* 3 y))))))) x)
(/ (+ 1/3 (* x (- (* 9 (/ (pow y 2) (+ 3 (* 3 y)))) (* 9 (/ 1 (+ 3 (* 3 y))))))) x)
(/ (+ 1/3 (* x (- (* 9 (/ (pow y 2) (+ 3 (* 3 y)))) (* 9 (/ 1 (+ 3 (* 3 y))))))) x)
(/ (- (* 9 (pow y 2)) 9) (+ 3 (* 3 y)))
(- (+ (* 9 (/ (pow y 2) (+ 3 (* 3 y)))) (* 1/3 (/ 1 x))) (* 9 (/ 1 (+ 3 (* 3 y)))))
(- (+ (* 9 (/ (pow y 2) (+ 3 (* 3 y)))) (* 1/3 (/ 1 x))) (* 9 (/ 1 (+ 3 (* 3 y)))))
(- (+ (* 9 (/ (pow y 2) (+ 3 (* 3 y)))) (* 1/3 (/ 1 x))) (* 9 (/ 1 (+ 3 (* 3 y)))))
(/ (- (* 9 (pow y 2)) 9) (+ 3 (* 3 y)))
(- (+ (* 9 (/ (pow y 2) (+ 3 (* 3 y)))) (* 1/3 (/ 1 x))) (* 9 (/ 1 (+ 3 (* 3 y)))))
(- (+ (* 9 (/ (pow y 2) (+ 3 (* 3 y)))) (* 1/3 (/ 1 x))) (* 9 (/ 1 (+ 3 (* 3 y)))))
(- (+ (* 9 (/ (pow y 2) (+ 3 (* 3 y)))) (* 1/3 (/ 1 x))) (* 9 (/ 1 (+ 3 (* 3 y)))))
(+ 3 (* -27 x))
(+ 3 (+ (* -27 x) (* 3 y)))
(+ 3 (+ (* -27 x) (* y (+ 3 (* 27 (* x y))))))
(+ 3 (+ (* -27 x) (* y (+ 3 (* 27 (* x y))))))
(* 27 (* x (pow y 2)))
(* (pow y 2) (+ (* 27 x) (* 3 (/ 1 y))))
(* (pow y 2) (+ (* -27 (/ x (pow y 2))) (+ (* 27 x) (+ (* 3 (/ 1 y)) (/ 3 (pow y 2))))))
(* (pow y 2) (+ (* -27 (/ x (pow y 2))) (+ (* 27 x) (+ (* 3 (/ 1 y)) (/ 3 (pow y 2))))))
(* 27 (* x (pow y 2)))
(* (pow y 2) (+ (* 27 x) (* 3 (/ 1 y))))
(* (pow y 2) (+ (* -1 (/ (- (* -1 (/ (+ 3 (* -27 x)) y)) 3) y)) (* 27 x)))
(* (pow y 2) (+ (* -1 (/ (- (* -1 (/ (+ 3 (* -27 x)) y)) 3) y)) (* 27 x)))
(+ 3 (* 3 y))
(+ 3 (+ (* 3 y) (* 3 (* x (- (* 9 (pow y 2)) 9)))))
(+ 3 (+ (* 3 y) (* 3 (* x (- (* 9 (pow y 2)) 9)))))
(+ 3 (+ (* 3 y) (* 3 (* x (- (* 9 (pow y 2)) 9)))))
(* 3 (* x (- (* 9 (pow y 2)) 9)))
(* x (+ (* 3 (- (* 9 (pow y 2)) 9)) (+ (* 3 (/ y x)) (* 3 (/ 1 x)))))
(* x (+ (* 3 (- (* 9 (pow y 2)) 9)) (+ (* 3 (/ y x)) (* 3 (/ 1 x)))))
(* x (+ (* 3 (- (* 9 (pow y 2)) 9)) (+ (* 3 (/ y x)) (* 3 (/ 1 x)))))
(* 3 (* x (- (* 9 (pow y 2)) 9)))
(* -1 (* x (+ (* -3 (- (* 9 (pow y 2)) 9)) (* -1 (/ (+ 3 (* 3 y)) x)))))
(* -1 (* x (+ (* -3 (- (* 9 (pow y 2)) 9)) (* -1 (/ (+ 3 (* 3 y)) x)))))
(* -1 (* x (+ (* -3 (- (* 9 (pow y 2)) 9)) (* -1 (/ (+ 3 (* 3 y)) x)))))
(* -27 x)
(+ (* -27 x) (* 27 (* x (pow y 2))))
(+ (* -27 x) (* 27 (* x (pow y 2))))
(+ (* -27 x) (* 27 (* x (pow y 2))))
(* 27 (* x (pow y 2)))
(* (pow y 2) (+ (* -27 (/ x (pow y 2))) (* 27 x)))
(* (pow y 2) (+ (* -27 (/ x (pow y 2))) (* 27 x)))
(* (pow y 2) (+ (* -27 (/ x (pow y 2))) (* 27 x)))
(* 27 (* x (pow y 2)))
(* (pow y 2) (+ (* -27 (/ x (pow y 2))) (* 27 x)))
(* (pow y 2) (+ (* -27 (/ x (pow y 2))) (* 27 x)))
(* (pow y 2) (+ (* -27 (/ x (pow y 2))) (* 27 x)))
(* 3 (* x (- (* 9 (pow y 2)) 9)))
(* 3 (* x (- (* 9 (pow y 2)) 9)))
(* 3 (* x (- (* 9 (pow y 2)) 9)))
(* 3 (* x (- (* 9 (pow y 2)) 9)))
(* 3 (* x (- (* 9 (pow y 2)) 9)))
(* 3 (* x (- (* 9 (pow y 2)) 9)))
(* 3 (* x (- (* 9 (pow y 2)) 9)))
(* 3 (* x (- (* 9 (pow y 2)) 9)))
(* 3 (* x (- (* 9 (pow y 2)) 9)))
(* 3 (* x (- (* 9 (pow y 2)) 9)))
(* 3 (* x (- (* 9 (pow y 2)) 9)))
(* 3 (* x (- (* 9 (pow y 2)) 9)))
(* 9 x)
(+ (* 9 x) (* 9 (* x y)))
(+ (* 9 x) (* 9 (* x y)))
(+ (* 9 x) (* 9 (* x y)))
(* 9 (* x y))
(* y (+ (* 9 x) (* 9 (/ x y))))
(* y (+ (* 9 x) (* 9 (/ x y))))
(* y (+ (* 9 x) (* 9 (/ x y))))
(* 9 (* x y))
(* -1 (* y (+ (* -9 x) (* -9 (/ x y)))))
(* -1 (* y (+ (* -9 x) (* -9 (/ x y)))))
(* -1 (* y (+ (* -9 x) (* -9 (/ x y)))))
(* 3 (* x (+ 3 (* 3 y))))
(* 3 (* x (+ 3 (* 3 y))))
(* 3 (* x (+ 3 (* 3 y))))
(* 3 (* x (+ 3 (* 3 y))))
(* 3 (* x (+ 3 (* 3 y))))
(* 3 (* x (+ 3 (* 3 y))))
(* 3 (* x (+ 3 (* 3 y))))
(* 3 (* x (+ 3 (* 3 y))))
(* 3 (* x (+ 3 (* 3 y))))
(* 3 (* x (+ 3 (* 3 y))))
(* 3 (* x (+ 3 (* 3 y))))
(* 3 (* x (+ 3 (* 3 y))))
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) (*.f64 x 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) (*.f64 x 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) (*.f64 x 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 #s(literal 0 binary64) (*.f64 x (+.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) x)) #s(literal -1/3 binary64)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (+.f64 (*.f64 #s(literal -1 binary64) (*.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 #s(literal 0 binary64) (*.f64 x (+.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) x)) #s(literal -1/3 binary64)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (+.f64 (*.f64 #s(literal -1 binary64) (*.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 #s(literal 0 binary64) (*.f64 x (+.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) x)) #s(literal -1/3 binary64)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (+.f64 (*.f64 #s(literal -1 binary64) (*.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 (*.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)) (* (sqrt x) (- (* 1/3 (/ 1 x)) 3)))
(+.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)) (* (sqrt x) (- (* 1/3 (/ 1 x)) 3)))
(+.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))))
(* 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))))
(* 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))))
(* 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 (-.f64 (*.f64 (sqrt.f64 x) #s(literal -3 binary64)) (*.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64)) (/.f64 (sqrt.f64 x) y))) (-.f64 #s(literal 0 binary64) y))
(* -1 (* y (+ (* -3 (sqrt x)) (* -1 (* (sqrt x) (/ (- (* 1/3 (/ 1 x)) 3) y))))))
(*.f64 (-.f64 (*.f64 (sqrt.f64 x) #s(literal -3 binary64)) (*.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64)) (/.f64 (sqrt.f64 x) y))) (-.f64 #s(literal 0 binary64) y))
(* -1 (* y (+ (* -3 (sqrt x)) (* -1 (* (sqrt x) (/ (- (* 1/3 (/ 1 x)) 3) y))))))
(*.f64 (-.f64 (*.f64 (sqrt.f64 x) #s(literal -3 binary64)) (*.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64)) (/.f64 (sqrt.f64 x) y))) (-.f64 #s(literal 0 binary64) y))
(- (* 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))))
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eval269.0ms (2.2%)

Compiler

Compiled 74163 to 5643 computations (92.4% saved)

prune297.0ms (2.4%)

Pruning

26 alts after pruning (25 fresh and 1 done)

PrunedKeptTotal
New1675171692
Fresh12820
Picked505
Done112
Total1693261719
Accuracy
100.0%
Counts
1719 → 26
Alt Table
Click to see full alt table
StatusAccuracyProgram
35.4%
(/.f64 (*.f64 (sqrt.f64 x) #s(literal 1/3 binary64)) x)
99.3%
(/.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)))))
68.8%
(/.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)))))
35.3%
(/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 (sqrt.f64 x) #s(literal 1/3 binary64))))
35.4%
(/.f64 #s(literal 1/3 binary64) (sqrt.f64 x))
35.4%
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1/3 binary64))
35.4%
(*.f64 (/.f64 (sqrt.f64 x) (/.f64 x #s(literal 1/9 binary64))) #s(literal 3 binary64))
99.3%
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1/2 binary64))) (+.f64 (*.f64 #s(literal 3 binary64) y) (+.f64 #s(literal -3 binary64) (*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/3 binary64)))))
99.4%
(*.f64 (*.f64 (+.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal -1 binary64)) #s(literal 3 binary64)) (sqrt.f64 x))
99.4%
(*.f64 (*.f64 (sqrt.f64 x) (+.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal -1 binary64))) #s(literal 3 binary64))
35.4%
(*.f64 (*.f64 (sqrt.f64 x) #s(literal 1/3 binary64)) (/.f64 #s(literal 1 binary64) x))
62.3%
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)))
99.4%
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64)))
38.7%
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) y)
62.5%
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/9 binary64) (*.f64 x #s(literal -27 binary64)))))
3.0%
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/3 binary64))
62.4%
(*.f64 (sqrt.f64 x) (/.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/9 binary64) (*.f64 x #s(literal -27 binary64)))) x))
52.5%
(*.f64 (sqrt.f64 x) (/.f64 (+.f64 #s(literal -9 binary64) (*.f64 y (*.f64 y #s(literal 9 binary64)))) (+.f64 #s(literal 3 binary64) (*.f64 #s(literal 3 binary64) y))))
14.5%
(*.f64 (sqrt.f64 x) (/.f64 (*.f64 x (*.f64 (*.f64 y y) #s(literal 27 binary64))) (*.f64 (+.f64 (*.f64 #s(literal 3 binary64) y) #s(literal 3 binary64)) (/.f64 x #s(literal 1/3 binary64)))))
35.4%
(*.f64 (sqrt.f64 x) (/.f64 #s(literal 1/3 binary64) x))
62.3%
(*.f64 (sqrt.f64 x) (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64)))
72.3%
(*.f64 (sqrt.f64 x) (+.f64 (*.f64 #s(literal 3 binary64) y) (/.f64 #s(literal 1/3 binary64) x)))
64.5%
(*.f64 (sqrt.f64 x) (+.f64 (*.f64 #s(literal 3 binary64) y) #s(literal -3 binary64)))
38.7%
(*.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) y))
84.8%
(*.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))))
38.7%
(*.f64 #s(literal 3 binary64) (*.f64 (sqrt.f64 x) y))
Compiler

Compiled 640 to 486 computations (24.1% saved)

simplify188.0ms (1.5%)

Algorithm
egg-herbie
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
cost-diff0
(+.f64 #s(literal 3 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64)) y))
cost-diff0
(sqrt.f64 x)
cost-diff0
(*.f64 (sqrt.f64 x) (+.f64 #s(literal 3 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64)) y)))
cost-diff128
(*.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))))
cost-diff0
(sqrt.f64 x)
cost-diff0
(*.f64 (sqrt.f64 x) #s(literal 1/3 binary64))
cost-diff0
(/.f64 x (*.f64 (sqrt.f64 x) #s(literal 1/3 binary64)))
cost-diff128
(/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 (sqrt.f64 x) #s(literal 1/3 binary64))))
cost-diff0
(sqrt.f64 x)
cost-diff0
(*.f64 #s(literal 3 binary64) (sqrt.f64 x))
cost-diff0
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) y)
cost-diff0
(sqrt.f64 x)
cost-diff0
(/.f64 #s(literal 1/3 binary64) (sqrt.f64 x))
cost-diff0
(+.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal -1 binary64))
cost-diff0
(sqrt.f64 x)
cost-diff0
(*.f64 (sqrt.f64 x) (+.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal -1 binary64)))
cost-diff0
(*.f64 (*.f64 (sqrt.f64 x) (+.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal -1 binary64))) #s(literal 3 binary64))
Rules
4286×*-lowering-*.f32
4286×*-lowering-*.f64
1584×sum5-define
1498×/-lowering-/.f32
1498×/-lowering-/.f64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
026140
164140
2163139
3386139
4725139
51268139
62969139
08732139
Stop Event
iter limit
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))
y
(/ 1/9 x)
1/9
-1
3
(/ 1/3 (sqrt x))
1/3
(sqrt x)
x
(* (* 3 (sqrt x)) y)
(* 3 (sqrt x))
3
(sqrt x)
x
y
(/ 1 (/ x (* (sqrt x) 1/3)))
1
(/ x (* (sqrt x) 1/3))
x
(* (sqrt x) 1/3)
(sqrt x)
1/3
(* y (* (sqrt x) (+ 3 (/ (+ (/ 1/3 x) -3) y))))
y
(* (sqrt x) (+ 3 (/ (+ (/ 1/3 x) -3) y)))
(sqrt x)
x
(+ 3 (/ (+ (/ 1/3 x) -3) y))
3
(/ (+ (/ 1/3 x) -3) y)
(+ (/ 1/3 x) -3)
(/ 1/3 x)
1/3
-3
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))
(+.f64 y (/.f64 #s(literal 1/9 binary64) x))
y
(/ 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 x))
(/.f64 #s(literal 1/3 binary64) (sqrt.f64 x))
1/3
#s(literal 1/3 binary64)
(sqrt x)
(sqrt.f64 x)
x
(* (* 3 (sqrt x)) y)
(*.f64 (sqrt.f64 x) (*.f64 y #s(literal 3 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 (* (sqrt x) 1/3)))
(/.f64 (sqrt.f64 x) (/.f64 x #s(literal 1/3 binary64)))
1
#s(literal 1 binary64)
(/ x (* (sqrt x) 1/3))
(/.f64 x (*.f64 (sqrt.f64 x) #s(literal 1/3 binary64)))
x
(* (sqrt x) 1/3)
(*.f64 (sqrt.f64 x) #s(literal 1/3 binary64))
(sqrt x)
(sqrt.f64 x)
1/3
#s(literal 1/3 binary64)
(* y (* (sqrt x) (+ 3 (/ (+ (/ 1/3 x) -3) y))))
(*.f64 (+.f64 y (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64))) (*.f64 (sqrt.f64 x) #s(literal 3 binary64)))
y
(* (sqrt x) (+ 3 (/ (+ (/ 1/3 x) -3) y)))
(*.f64 (sqrt.f64 x) (+.f64 #s(literal 3 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64)) y)))
(sqrt x)
(sqrt.f64 x)
x
(+ 3 (/ (+ (/ 1/3 x) -3) y))
(+.f64 #s(literal 3 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64)) y))
3
#s(literal 3 binary64)
(/ (+ (/ 1/3 x) -3) y)
(/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64)) y)
(+ (/ 1/3 x) -3)
(+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64))
(/ 1/3 x)
(/.f64 #s(literal 1/3 binary64) x)
1/3
#s(literal 1/3 binary64)
-3
#s(literal -3 binary64)

localize206.0ms (1.6%)

Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
accuracy99.9%
(/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64)) y)
accuracy99.4%
(/.f64 #s(literal 1/3 binary64) x)
accuracy96.0%
(*.f64 (sqrt.f64 x) (+.f64 #s(literal 3 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64)) y)))
accuracy88.7%
(*.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))))
accuracy100.0%
(sqrt.f64 x)
accuracy99.7%
(/.f64 x (*.f64 (sqrt.f64 x) #s(literal 1/3 binary64)))
accuracy99.6%
(/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 (sqrt.f64 x) #s(literal 1/3 binary64))))
accuracy99.5%
(*.f64 (sqrt.f64 x) #s(literal 1/3 binary64))
accuracy100.0%
(sqrt.f64 x)
accuracy99.7%
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) y)
accuracy99.6%
(*.f64 #s(literal 3 binary64) (sqrt.f64 x))
accuracy100.0%
(sqrt.f64 x)
accuracy99.4%
(/.f64 #s(literal 1/3 binary64) (sqrt.f64 x))
accuracy100.0%
(+.f64 y (/.f64 #s(literal 1/9 binary64) x))
accuracy99.7%
(*.f64 (sqrt.f64 x) (+.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal -1 binary64)))
accuracy99.5%
(*.f64 (*.f64 (sqrt.f64 x) (+.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal -1 binary64))) #s(literal 3 binary64))
accuracy99.5%
(/.f64 #s(literal 1/9 binary64) x)
Results
145.0ms256×0valid
Compiler

Compiled 150 to 27 computations (82% saved)

Precisions
Click to see histograms. Total time spent on operations: 40.0ms
ival-mult: 12.0ms (29.7% of total)
ival-div: 11.0ms (27.3% of total)
...c/correct-round.rkt:119:19: 9.0ms (22.3% of total)
ival-add: 5.0ms (12.4% of total)
ival-sqrt: 2.0ms (5% of total)
const: 1.0ms (2.5% of total)
backward-pass: 0.0ms (0% of total)

series27.0ms (0.2%)

Counts
17 → 312
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 x))>
#<alt (* (* 3 (sqrt x)) y)>
#<alt (* 3 (sqrt x))>
#<alt (/ 1 (/ x (* (sqrt x) 1/3)))>
#<alt (/ x (* (sqrt x) 1/3))>
#<alt (* (sqrt x) 1/3)>
#<alt (* y (* (sqrt x) (+ 3 (/ (+ (/ 1/3 x) -3) y))))>
#<alt (* (sqrt x) (+ 3 (/ (+ (/ 1/3 x) -3) y)))>
#<alt (+ 3 (/ (+ (/ 1/3 x) -3) y))>
#<alt (/ 1/9 x)>
#<alt (+ y (/ 1/9 x))>
#<alt (/ 1/3 x)>
#<alt (/ (+ (/ 1/3 x) -3) y)>
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)))>
#<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 (* 3 (sqrt x))>
#<alt (* 3 (sqrt x))>
#<alt (* 3 (sqrt x))>
#<alt (* 3 (sqrt x))>
#<alt (* 3 (sqrt x))>
#<alt (* 3 (sqrt x))>
#<alt (* 3 (sqrt x))>
#<alt (* 3 (sqrt x))>
#<alt (* -3 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* -3 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* -3 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* -3 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* 1/3 (sqrt (/ 1 x)))>
#<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))>
#<alt (* 3 (sqrt x))>
#<alt (* 3 (sqrt x))>
#<alt (* 3 (sqrt x))>
#<alt (* 1/3 (sqrt x))>
#<alt (* 1/3 (sqrt x))>
#<alt (* 1/3 (sqrt x))>
#<alt (* 1/3 (sqrt x))>
#<alt (* 1/3 (sqrt x))>
#<alt (* 1/3 (sqrt x))>
#<alt (* 1/3 (sqrt x))>
#<alt (* 1/3 (sqrt x))>
#<alt (* -1/3 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* -1/3 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* -1/3 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* -1/3 (* (sqrt x) (pow (sqrt -1) 2)))>
#<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 (* 1/3 (sqrt (/ 1 x)))>
#<alt (/ (+ (* 1/3 (sqrt x)) (* (sqrt (pow x 3)) (* y (- 3 (* 3 (/ 1 y)))))) x)>
#<alt (/ (+ (* 1/3 (sqrt x)) (* (sqrt (pow x 3)) (* y (- 3 (* 3 (/ 1 y)))))) x)>
#<alt (/ (+ (* 1/3 (sqrt x)) (* (sqrt (pow x 3)) (* y (- 3 (* 3 (/ 1 y)))))) x)>
#<alt (* (sqrt x) (* y (- 3 (* 3 (/ 1 y)))))>
#<alt (* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (* y (- 3 (* 3 (/ 1 y)))))))>
#<alt (* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (* y (- 3 (* 3 (/ 1 y)))))))>
#<alt (* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (* y (- 3 (* 3 (/ 1 y)))))))>
#<alt (* -1 (* (sqrt x) (* y (* (pow (sqrt -1) 2) (- 3 (* 3 (/ 1 y)))))))>
#<alt (* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (* y (* (pow (sqrt -1) 2) (- 3 (* 3 (/ 1 y)))))))))>
#<alt (* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (* y (* (pow (sqrt -1) 2) (- 3 (* 3 (/ 1 y)))))))))>
#<alt (* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (* y (* (pow (sqrt -1) 2) (- 3 (* 3 (/ 1 y)))))))))>
#<alt (* 1/3 (* (sqrt (/ 1 x)) (/ 1 y)))>
#<alt (/ (+ (* 1/3 (* (sqrt x) (/ 1 y))) (* (sqrt (pow x 3)) (- 3 (* 3 (/ 1 y))))) x)>
#<alt (/ (+ (* 1/3 (* (sqrt x) (/ 1 y))) (* (sqrt (pow x 3)) (- 3 (* 3 (/ 1 y))))) x)>
#<alt (/ (+ (* 1/3 (* (sqrt x) (/ 1 y))) (* (sqrt (pow x 3)) (- 3 (* 3 (/ 1 y))))) x)>
#<alt (* (sqrt x) (- 3 (* 3 (/ 1 y))))>
#<alt (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (/ 1 y))) (* (sqrt (/ 1 x)) (- 3 (* 3 (/ 1 y))))))>
#<alt (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (/ 1 y))) (* (sqrt (/ 1 x)) (- 3 (* 3 (/ 1 y))))))>
#<alt (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (/ 1 y))) (* (sqrt (/ 1 x)) (- 3 (* 3 (/ 1 y))))))>
#<alt (* -1 (* (sqrt x) (* (pow (sqrt -1) 2) (- 3 (* 3 (/ 1 y))))))>
#<alt (* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (/ (pow (sqrt -1) 2) y))) (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- 3 (* 3 (/ 1 y))))))))>
#<alt (* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (/ (pow (sqrt -1) 2) y))) (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- 3 (* 3 (/ 1 y))))))))>
#<alt (* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (/ (pow (sqrt -1) 2) y))) (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- 3 (* 3 (/ 1 y))))))))>
#<alt (* (sqrt x) (/ (- (* 1/3 (/ 1 x)) 3) y))>
#<alt (/ (+ (* 3 (* (sqrt x) y)) (* (sqrt x) (- (* 1/3 (/ 1 x)) 3))) y)>
#<alt (/ (+ (* 3 (* (sqrt x) y)) (* (sqrt x) (- (* 1/3 (/ 1 x)) 3))) y)>
#<alt (/ (+ (* 3 (* (sqrt x) y)) (* (sqrt x) (- (* 1/3 (/ 1 x)) 3))) y)>
#<alt (* 3 (sqrt x))>
#<alt (+ (* 3 (sqrt x)) (* (sqrt x) (/ (- (* 1/3 (/ 1 x)) 3) y)))>
#<alt (+ (* 3 (sqrt x)) (* (sqrt x) (/ (- (* 1/3 (/ 1 x)) 3) y)))>
#<alt (+ (* 3 (sqrt x)) (* (sqrt x) (/ (- (* 1/3 (/ 1 x)) 3) y)))>
#<alt (* 3 (sqrt x))>
#<alt (+ (* 3 (sqrt x)) (* (sqrt x) (/ (- (* 1/3 (/ 1 x)) 3) y)))>
#<alt (+ (* 3 (sqrt x)) (* (sqrt x) (/ (- (* 1/3 (/ 1 x)) 3) y)))>
#<alt (+ (* 3 (sqrt x)) (* (sqrt x) (/ (- (* 1/3 (/ 1 x)) 3) y)))>
#<alt (/ 1/3 (* x y))>
#<alt (/ (+ (* x (- 3 (* 3 (/ 1 y)))) (* 1/3 (/ 1 y))) x)>
#<alt (/ (+ (* x (- 3 (* 3 (/ 1 y)))) (* 1/3 (/ 1 y))) x)>
#<alt (/ (+ (* x (- 3 (* 3 (/ 1 y)))) (* 1/3 (/ 1 y))) x)>
#<alt (- 3 (* 3 (/ 1 y)))>
#<alt (- (+ 3 (* 1/3 (/ 1 (* x y)))) (* 3 (/ 1 y)))>
#<alt (- (+ 3 (* 1/3 (/ 1 (* x y)))) (* 3 (/ 1 y)))>
#<alt (- (+ 3 (* 1/3 (/ 1 (* x y)))) (* 3 (/ 1 y)))>
#<alt (- 3 (* 3 (/ 1 y)))>
#<alt (- (+ 3 (* 1/3 (/ 1 (* x y)))) (* 3 (/ 1 y)))>
#<alt (- (+ 3 (* 1/3 (/ 1 (* x y)))) (* 3 (/ 1 y)))>
#<alt (- (+ 3 (* 1/3 (/ 1 (* x y)))) (* 3 (/ 1 y)))>
#<alt (/ (- (* 1/3 (/ 1 x)) 3) y)>
#<alt (/ (- (+ (* 1/3 (/ 1 x)) (* 3 y)) 3) y)>
#<alt (/ (- (+ (* 1/3 (/ 1 x)) (* 3 y)) 3) y)>
#<alt (/ (- (+ (* 1/3 (/ 1 x)) (* 3 y)) 3) y)>
#<alt 3>
#<alt (- (+ 3 (/ 1/3 (* x y))) (* 3 (/ 1 y)))>
#<alt (- (+ 3 (/ 1/3 (* x y))) (* 3 (/ 1 y)))>
#<alt (- (+ 3 (/ 1/3 (* x y))) (* 3 (/ 1 y)))>
#<alt 3>
#<alt (- (+ 3 (/ 1/3 (* x y))) (* 3 (/ 1 y)))>
#<alt (- (+ 3 (/ 1/3 (* x y))) (* 3 (/ 1 y)))>
#<alt (- (+ 3 (/ 1/3 (* x y))) (* 3 (/ 1 y)))>
#<alt (/ 1/9 x)>
#<alt (/ 1/9 x)>
#<alt (/ 1/9 x)>
#<alt (/ 1/9 x)>
#<alt (/ 1/9 x)>
#<alt (/ 1/9 x)>
#<alt (/ 1/9 x)>
#<alt (/ 1/9 x)>
#<alt (/ 1/9 x)>
#<alt (/ 1/9 x)>
#<alt (/ 1/9 x)>
#<alt (/ 1/9 x)>
#<alt (/ 1/9 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 (/ 1/3 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 (* x y))>
#<alt (/ (+ (* -3 (/ x y)) (* 1/3 (/ 1 y))) x)>
#<alt (/ (+ (* -3 (/ x y)) (* 1/3 (/ 1 y))) x)>
#<alt (/ (+ (* -3 (/ x y)) (* 1/3 (/ 1 y))) x)>
#<alt (/ -3 y)>
#<alt (- (* 1/3 (/ 1 (* x y))) (* 3 (/ 1 y)))>
#<alt (- (* 1/3 (/ 1 (* x y))) (* 3 (/ 1 y)))>
#<alt (- (* 1/3 (/ 1 (* x y))) (* 3 (/ 1 y)))>
#<alt (/ -3 y)>
#<alt (- (* 1/3 (/ 1 (* x y))) (* 3 (/ 1 y)))>
#<alt (- (* 1/3 (/ 1 (* x y))) (* 3 (/ 1 y)))>
#<alt (- (* 1/3 (/ 1 (* x y))) (* 3 (/ 1 y)))>
#<alt (/ (- (* 1/3 (/ 1 x)) 3) y)>
#<alt (/ (- (* 1/3 (/ 1 x)) 3) y)>
#<alt (/ (- (* 1/3 (/ 1 x)) 3) y)>
#<alt (/ (- (* 1/3 (/ 1 x)) 3) y)>
#<alt (/ (- (* 1/3 (/ 1 x)) 3) y)>
#<alt (/ (- (* 1/3 (/ 1 x)) 3) y)>
#<alt (/ (- (* 1/3 (/ 1 x)) 3) y)>
#<alt (/ (- (* 1/3 (/ 1 x)) 3) y)>
#<alt (/ (- (* 1/3 (/ 1 x)) 3) y)>
#<alt (/ (- (* 1/3 (/ 1 x)) 3) y)>
#<alt (/ (- (* 1/3 (/ 1 x)) 3) y)>
#<alt (/ (- (* 1/3 (/ 1 x)) 3) y)>
Calls

78 calls:

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

rewrite347.0ms (2.8%)

Algorithm
batch-egg-rewrite
Rules
4132×/-lowering-/.f32
4132×/-lowering-/.f64
3472×*-lowering-*.f32
3472×*-lowering-*.f64
1698×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
026107
1156107
21252107
08336107
Stop Event
iter limit
node limit
Counts
17 → 611
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 x))
(* (* 3 (sqrt x)) y)
(* 3 (sqrt x))
(/ 1 (/ x (* (sqrt x) 1/3)))
(/ x (* (sqrt x) 1/3))
(* (sqrt x) 1/3)
(* y (* (sqrt x) (+ 3 (/ (+ (/ 1/3 x) -3) y))))
(* (sqrt x) (+ 3 (/ (+ (/ 1/3 x) -3) y)))
(+ 3 (/ (+ (/ 1/3 x) -3) y))
(/ 1/9 x)
(+ y (/ 1/9 x))
(/ 1/3 x)
(/ (+ (/ 1/3 x) -3) y)
Outputs
(+.f64 (*.f64 #s(literal 3 binary64) (*.f64 (sqrt.f64 x) (+.f64 y (/.f64 #s(literal 1/9 binary64) x)))) (*.f64 #s(literal 3 binary64) (-.f64 #s(literal 0 binary64) (sqrt.f64 x))))
(+.f64 (*.f64 (*.f64 (sqrt.f64 x) (+.f64 y (/.f64 #s(literal 1/9 binary64) x))) #s(literal 3 binary64)) (*.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 x)) #s(literal 3 binary64)))
(fma.f64 #s(literal 3 binary64) (*.f64 (sqrt.f64 x) (+.f64 y (/.f64 #s(literal 1/9 binary64) x))) (*.f64 #s(literal 3 binary64) (-.f64 #s(literal 0 binary64) (sqrt.f64 x))))
(fma.f64 (*.f64 (sqrt.f64 x) (+.f64 y (/.f64 #s(literal 1/9 binary64) x))) #s(literal 3 binary64) (*.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 x)) #s(literal 3 binary64)))
(/.f64 (+.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 (sqrt.f64 x) #s(literal 1/3 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal -1 binary64))))
(/.f64 (+.f64 (pow.f64 (*.f64 #s(literal 3 binary64) (*.f64 (sqrt.f64 x) (+.f64 y (/.f64 #s(literal 1/9 binary64) x)))) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 3 binary64) (-.f64 #s(literal 0 binary64) (sqrt.f64 x))) #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 #s(literal 3 binary64) (*.f64 (sqrt.f64 x) (+.f64 y (/.f64 #s(literal 1/9 binary64) x)))) (*.f64 #s(literal 3 binary64) (*.f64 (sqrt.f64 x) (+.f64 y (/.f64 #s(literal 1/9 binary64) x))))) (-.f64 (*.f64 (*.f64 #s(literal 3 binary64) (-.f64 #s(literal 0 binary64) (sqrt.f64 x))) (*.f64 #s(literal 3 binary64) (-.f64 #s(literal 0 binary64) (sqrt.f64 x)))) (*.f64 (*.f64 #s(literal 3 binary64) (*.f64 (sqrt.f64 x) (+.f64 y (/.f64 #s(literal 1/9 binary64) x)))) (*.f64 #s(literal 3 binary64) (-.f64 #s(literal 0 binary64) (sqrt.f64 x)))))))
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (sqrt.f64 x) (+.f64 y (/.f64 #s(literal 1/9 binary64) x))) #s(literal 3 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 x)) #s(literal 3 binary64)) #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 x) (+.f64 y (/.f64 #s(literal 1/9 binary64) x))) #s(literal 3 binary64)) (*.f64 (*.f64 (sqrt.f64 x) (+.f64 y (/.f64 #s(literal 1/9 binary64) x))) #s(literal 3 binary64))) (-.f64 (*.f64 (*.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 x)) #s(literal 3 binary64)) (*.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 x)) #s(literal 3 binary64))) (*.f64 (*.f64 (*.f64 (sqrt.f64 x) (+.f64 y (/.f64 #s(literal 1/9 binary64) x))) #s(literal 3 binary64)) (*.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 x)) #s(literal 3 binary64))))))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 3 binary64) (*.f64 (sqrt.f64 x) (+.f64 y (/.f64 #s(literal 1/9 binary64) x)))) (*.f64 #s(literal 3 binary64) (*.f64 (sqrt.f64 x) (+.f64 y (/.f64 #s(literal 1/9 binary64) x))))) (*.f64 (*.f64 #s(literal 3 binary64) (-.f64 #s(literal 0 binary64) (sqrt.f64 x))) (*.f64 #s(literal 3 binary64) (-.f64 #s(literal 0 binary64) (sqrt.f64 x))))) (-.f64 (*.f64 #s(literal 3 binary64) (*.f64 (sqrt.f64 x) (+.f64 y (/.f64 #s(literal 1/9 binary64) x)))) (*.f64 #s(literal 3 binary64) (-.f64 #s(literal 0 binary64) (sqrt.f64 x)))))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 x) (+.f64 y (/.f64 #s(literal 1/9 binary64) x))) #s(literal 3 binary64)) (*.f64 (*.f64 (sqrt.f64 x) (+.f64 y (/.f64 #s(literal 1/9 binary64) x))) #s(literal 3 binary64))) (*.f64 (*.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 x)) #s(literal 3 binary64)) (*.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 x)) #s(literal 3 binary64)))) (-.f64 (*.f64 (*.f64 (sqrt.f64 x) (+.f64 y (/.f64 #s(literal 1/9 binary64) x))) #s(literal 3 binary64)) (*.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 x)) #s(literal 3 binary64))))
(*.f64 (sqrt.f64 x) (*.f64 (+.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal -1 binary64)) #s(literal 3 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 (sqrt.f64 x) (+.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal -1 binary64))) #s(literal 3 binary64))
(*.f64 #s(literal 3 binary64) (*.f64 (sqrt.f64 x) (+.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal -1 binary64))))
(*.f64 (/.f64 (sqrt.f64 x) #s(literal 1/3 binary64)) (+.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal -1 binary64)))
(*.f64 (*.f64 (+.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal -1 binary64)) #s(literal 3 binary64)) (sqrt.f64 x))
(+.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 x)) (*.f64 (sqrt.f64 x) (+.f64 y (/.f64 #s(literal 1/9 binary64) x))))
(+.f64 (*.f64 (sqrt.f64 x) (+.f64 y (/.f64 #s(literal 1/9 binary64) x))) (-.f64 #s(literal 0 binary64) (sqrt.f64 x)))
(+.f64 (*.f64 (sqrt.f64 x) y) (*.f64 (sqrt.f64 x) (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64))))
(+.f64 (*.f64 (sqrt.f64 x) y) (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)) (sqrt.f64 x)))
(-.f64 (*.f64 (sqrt.f64 x) (+.f64 y (/.f64 #s(literal 1/9 binary64) x))) (sqrt.f64 x))
(-.f64 (/.f64 (pow.f64 (*.f64 (sqrt.f64 x) (+.f64 y (/.f64 #s(literal 1/9 binary64) x))) #s(literal 2 binary64)) (+.f64 (*.f64 (sqrt.f64 x) (+.f64 y (/.f64 #s(literal 1/9 binary64) x))) (sqrt.f64 x))) (/.f64 (pow.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 x)) #s(literal 2 binary64)) (+.f64 (*.f64 (sqrt.f64 x) (+.f64 y (/.f64 #s(literal 1/9 binary64) x))) (sqrt.f64 x))))
(fma.f64 (sqrt.f64 x) y (*.f64 (sqrt.f64 x) (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64))))
(fma.f64 (sqrt.f64 x) y (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)) (sqrt.f64 x)))
(fma.f64 (sqrt.f64 x) (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) (-.f64 #s(literal 0 binary64) (sqrt.f64 x)))
(fma.f64 (sqrt.f64 x) #s(literal -1 binary64) (*.f64 (sqrt.f64 x) (+.f64 y (/.f64 #s(literal 1/9 binary64) x))))
(fma.f64 y (sqrt.f64 x) (*.f64 (sqrt.f64 x) (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64))))
(fma.f64 y (sqrt.f64 x) (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)) (sqrt.f64 x)))
(fma.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) (sqrt.f64 x) (-.f64 #s(literal 0 binary64) (sqrt.f64 x)))
(fma.f64 #s(literal -1 binary64) (sqrt.f64 x) (*.f64 (sqrt.f64 x) (+.f64 y (/.f64 #s(literal 1/9 binary64) x))))
(/.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (*.f64 (sqrt.f64 x) (+.f64 y (/.f64 #s(literal 1/9 binary64) x))) #s(literal 2 binary64)) (-.f64 (pow.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 x)) #s(literal 2 binary64)) (*.f64 (*.f64 (sqrt.f64 x) (+.f64 y (/.f64 #s(literal 1/9 binary64) x))) (-.f64 #s(literal 0 binary64) (sqrt.f64 x))))) (+.f64 (pow.f64 (*.f64 (sqrt.f64 x) (+.f64 y (/.f64 #s(literal 1/9 binary64) x))) #s(literal 3 binary64)) (*.f64 #s(literal -1 binary64) (pow.f64 (sqrt.f64 x) #s(literal 3 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 (sqrt.f64 x) (+.f64 y (/.f64 #s(literal 1/9 binary64) x))) (sqrt.f64 x)) (-.f64 (pow.f64 (*.f64 (sqrt.f64 x) (+.f64 y (/.f64 #s(literal 1/9 binary64) x))) #s(literal 2 binary64)) (pow.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 x)) #s(literal 2 binary64)))))
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(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/81 binary64) (*.f64 x x)) (-.f64 (*.f64 y y) (/.f64 y (/.f64 x #s(literal 1/9 binary64))))) (+.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 #s(literal 1/9 binary64) x) y) (-.f64 (/.f64 #s(literal 1/81 binary64) (*.f64 x x)) (*.f64 y y))))
(/.f64 (+.f64 (*.f64 y (*.f64 y y)) (/.f64 #s(literal 1/729 binary64) (*.f64 x (*.f64 x x)))) (+.f64 (*.f64 y y) (/.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) y) (/.f64 x #s(literal 1/9 binary64)))))
(/.f64 (+.f64 (*.f64 y (*.f64 y y)) (/.f64 #s(literal 1/729 binary64) (*.f64 x (*.f64 x x)))) (+.f64 (/.f64 #s(literal 1/81 binary64) (*.f64 x x)) (-.f64 (*.f64 y y) (/.f64 y (/.f64 x #s(literal 1/9 binary64))))))
(/.f64 (-.f64 (*.f64 y y) (/.f64 #s(literal 1/81 binary64) (*.f64 x x))) (+.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 0 binary64) (+.f64 (*.f64 y y) (/.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) y) (/.f64 x #s(literal 1/9 binary64))))))
(/.f64 (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 y (*.f64 y y)) (/.f64 #s(literal 1/729 binary64) (*.f64 x (*.f64 x x))))) (neg.f64 (+.f64 (/.f64 #s(literal 1/81 binary64) (*.f64 x x)) (-.f64 (*.f64 y y) (/.f64 y (/.f64 x #s(literal 1/9 binary64)))))))
(/.f64 (-.f64 #s(literal 0 binary64) (-.f64 (*.f64 y y) (/.f64 #s(literal 1/81 binary64) (*.f64 x x)))) (-.f64 #s(literal 0 binary64) (+.f64 y (/.f64 #s(literal -1/9 binary64) x))))
(/.f64 (-.f64 (/.f64 #s(literal 1/81 binary64) (*.f64 x x)) (*.f64 y y)) (-.f64 (/.f64 #s(literal 1/9 binary64) x) y))
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(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 (*.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 1/9 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 #s(literal 1/81 binary64) (*.f64 x x)) (-.f64 (*.f64 y y) (/.f64 y (/.f64 x #s(literal 1/9 binary64)))))))
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(*.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 1/9 binary64)))))))
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(*.f64 (-.f64 (/.f64 #s(literal 1/81 binary64) (*.f64 x x)) (*.f64 y y)) (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1/9 binary64) x) y)))
(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))
(neg.f64 (/.f64 #s(literal -1/3 binary64) x))
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 x #s(literal 1/3 binary64))))
(/.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 (-.f64 #s(literal 0 binary64) (/.f64 x #s(literal 1/3 binary64)))))
(/.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 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 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) x))
(*.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1 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))
(exp.f64 (*.f64 (log.f64 (/.f64 y (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64)))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 (-.f64 #s(literal 3 binary64) (/.f64 #s(literal 1/3 binary64) x)) y))
(-.f64 (/.f64 (/.f64 (/.f64 #s(literal 1/9 binary64) (*.f64 x x)) (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 3 binary64))) y) (/.f64 (/.f64 #s(literal 9 binary64) (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 3 binary64))) y))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) y)) (/.f64 (-.f64 #s(literal 3 binary64) (/.f64 #s(literal 1/3 binary64) x)) y))
(-.f64 (/.f64 (/.f64 #s(literal 1/9 binary64) (*.f64 x x)) (*.f64 y (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 3 binary64)))) (/.f64 #s(literal 9 binary64) (*.f64 y (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 3 binary64)))))
(neg.f64 (/.f64 (-.f64 #s(literal 3 binary64) (/.f64 #s(literal 1/3 binary64) x)) y))
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 y (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 y (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64))))
(/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 #s(literal 0 binary64) (/.f64 y (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (+.f64 (/.f64 #s(literal 1/9 binary64) (*.f64 x x)) (+.f64 #s(literal 9 binary64) (/.f64 #s(literal 1 binary64) x)))) (+.f64 (/.f64 #s(literal 1/27 binary64) (*.f64 x (*.f64 x x))) #s(literal -27 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 3 binary64))) (+.f64 (/.f64 #s(literal 1/9 binary64) (*.f64 x x)) #s(literal -9 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) (*.f64 x x)) (+.f64 #s(literal 9 binary64) (/.f64 #s(literal 1 binary64) x))) y) (+.f64 (/.f64 #s(literal 1/27 binary64) (*.f64 x (*.f64 x x))) #s(literal -27 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 3 binary64)) y) (+.f64 (/.f64 #s(literal 1/9 binary64) (*.f64 x x)) #s(literal -9 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) (*.f64 x x)) (+.f64 #s(literal 9 binary64) (/.f64 #s(literal 1 binary64) x))) (/.f64 (+.f64 (/.f64 #s(literal 1/27 binary64) (*.f64 x (*.f64 x x))) #s(literal -27 binary64)) y)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 3 binary64)) (/.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) (*.f64 x x)) #s(literal -9 binary64)) y)))
(/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64)) y)
(/.f64 (-.f64 #s(literal 3 binary64) (/.f64 #s(literal 1/3 binary64) x)) (-.f64 #s(literal 0 binary64) y))
(/.f64 (+.f64 (/.f64 #s(literal 1/27 binary64) (*.f64 x (*.f64 x x))) #s(literal -27 binary64)) (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) (*.f64 x x)) (+.f64 #s(literal 9 binary64) (/.f64 #s(literal 1 binary64) x))) y))
(/.f64 (+.f64 (/.f64 #s(literal 1/27 binary64) (*.f64 x (*.f64 x x))) #s(literal -27 binary64)) (*.f64 y (+.f64 (/.f64 #s(literal 1/9 binary64) (*.f64 x x)) (+.f64 #s(literal 9 binary64) (/.f64 #s(literal 1 binary64) x)))))
(/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 3 binary64) (/.f64 #s(literal 1/3 binary64) x))))
(/.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) (*.f64 x x)) #s(literal -9 binary64)) (*.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 3 binary64)) y))
(/.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) (*.f64 x x)) #s(literal -9 binary64)) (*.f64 y (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 3 binary64))))
(/.f64 (-.f64 #s(literal 0 binary64) (+.f64 (/.f64 #s(literal 1/27 binary64) (*.f64 x (*.f64 x x))) #s(literal -27 binary64))) (neg.f64 (*.f64 y (+.f64 (/.f64 #s(literal 1/9 binary64) (*.f64 x x)) (+.f64 #s(literal 9 binary64) (/.f64 #s(literal 1 binary64) x))))))
(/.f64 (-.f64 #s(literal 0 binary64) (+.f64 (/.f64 #s(literal 1/27 binary64) (*.f64 x (*.f64 x x))) #s(literal -27 binary64))) (neg.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) (*.f64 x x)) (+.f64 #s(literal 9 binary64) (/.f64 #s(literal 1 binary64) x))) y)))
(/.f64 (-.f64 #s(literal 0 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) (*.f64 x x)) #s(literal -9 binary64))) (neg.f64 (*.f64 y (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 3 binary64)))))
(/.f64 (-.f64 #s(literal 0 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) (*.f64 x x)) #s(literal -9 binary64))) (neg.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 3 binary64)) y)))
(/.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/27 binary64) (*.f64 x (*.f64 x x))) #s(literal -27 binary64)) y) (+.f64 (/.f64 #s(literal 1/9 binary64) (*.f64 x x)) (+.f64 #s(literal 9 binary64) (/.f64 #s(literal 1 binary64) x))))
(/.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) (*.f64 x x)) #s(literal -9 binary64)) y) (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 3 binary64)))
(/.f64 (neg.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/27 binary64) (*.f64 x (*.f64 x x))) #s(literal -27 binary64)) y)) (-.f64 #s(literal 0 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) (*.f64 x x)) (+.f64 #s(literal 9 binary64) (/.f64 #s(literal 1 binary64) x)))))
(/.f64 (neg.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) (*.f64 x x)) #s(literal -9 binary64)) y)) (-.f64 #s(literal 0 binary64) (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 3 binary64))))
(pow.f64 (/.f64 y (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64))) #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 3 binary64) (/.f64 #s(literal 1/3 binary64) x)) y))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 y (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64))))))
(*.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64)) y))
(*.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64)) (/.f64 #s(literal 1 binary64) y))
(*.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64)) y) #s(literal 1 binary64))
(*.f64 (-.f64 #s(literal 3 binary64) (/.f64 #s(literal 1/3 binary64) x)) (/.f64 #s(literal -1 binary64) y))
(*.f64 (+.f64 (/.f64 #s(literal 1/27 binary64) (*.f64 x (*.f64 x x))) #s(literal -27 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 y (+.f64 (/.f64 #s(literal 1/9 binary64) (*.f64 x x)) (+.f64 #s(literal 9 binary64) (/.f64 #s(literal 1 binary64) x))))))
(*.f64 (+.f64 (/.f64 #s(literal 1/27 binary64) (*.f64 x (*.f64 x x))) #s(literal -27 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) (*.f64 x x)) (+.f64 #s(literal 9 binary64) (/.f64 #s(literal 1 binary64) x))) y)))
(*.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64)))
(*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) (*.f64 x x)) #s(literal -9 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 y (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 3 binary64)))))
(*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) (*.f64 x x)) #s(literal -9 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 3 binary64)) y)))
(*.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/27 binary64) (*.f64 x (*.f64 x x))) #s(literal -27 binary64)) y) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) (*.f64 x x)) (+.f64 #s(literal 9 binary64) (/.f64 #s(literal 1 binary64) x)))))
(*.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) (*.f64 x x)) #s(literal -9 binary64)) y) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 3 binary64))))
(*.f64 (pow.f64 (/.f64 y (+.f64 (/.f64 #s(literal 1/27 binary64) (*.f64 x (*.f64 x x))) #s(literal -27 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) (*.f64 x x)) (+.f64 #s(literal 9 binary64) (/.f64 #s(literal 1 binary64) x)))))
(*.f64 (pow.f64 (/.f64 y (+.f64 (/.f64 #s(literal 1/9 binary64) (*.f64 x x)) #s(literal -9 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 3 binary64))))

simplify297.0ms (2.4%)

Algorithm
egg-herbie
Rules
3512×*-lowering-*.f32
3512×*-lowering-*.f64
1614×fma-lowering-fma.f32
1614×fma-lowering-fma.f64
1548×fma-define
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01862396
15742332
219432285
357892285
085582285
Stop Event
iter limit
node limit
Counts
312 → 312
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)))
(* 1/3 (sqrt (/ 1 x)))
(* 1/3 (sqrt (/ 1 x)))
(* 1/3 (sqrt (/ 1 x)))
(* 3 (* (sqrt x) y))
(* 3 (* (sqrt x) y))
(* 3 (* (sqrt x) y))
(* 3 (* (sqrt x) y))
(* 3 (* (sqrt x) y))
(* 3 (* (sqrt x) y))
(* 3 (* (sqrt x) y))
(* 3 (* (sqrt x) y))
(* -3 (* (sqrt x) (* y (pow (sqrt -1) 2))))
(* -3 (* (sqrt x) (* y (pow (sqrt -1) 2))))
(* -3 (* (sqrt x) (* y (pow (sqrt -1) 2))))
(* -3 (* (sqrt x) (* y (pow (sqrt -1) 2))))
(* 3 (* (sqrt x) y))
(* 3 (* (sqrt x) y))
(* 3 (* (sqrt x) y))
(* 3 (* (sqrt x) y))
(* 3 (* (sqrt x) y))
(* 3 (* (sqrt x) y))
(* 3 (* (sqrt x) y))
(* 3 (* (sqrt x) y))
(* 3 (* (sqrt x) y))
(* 3 (* (sqrt x) y))
(* 3 (* (sqrt x) y))
(* 3 (* (sqrt x) y))
(* 3 (sqrt x))
(* 3 (sqrt x))
(* 3 (sqrt x))
(* 3 (sqrt x))
(* 3 (sqrt x))
(* 3 (sqrt x))
(* 3 (sqrt x))
(* 3 (sqrt x))
(* -3 (* (sqrt x) (pow (sqrt -1) 2)))
(* -3 (* (sqrt x) (pow (sqrt -1) 2)))
(* -3 (* (sqrt x) (pow (sqrt -1) 2)))
(* -3 (* (sqrt x) (pow (sqrt -1) 2)))
(* 1/3 (sqrt (/ 1 x)))
(* 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))
(* 3 (sqrt x))
(* 3 (sqrt x))
(* 3 (sqrt x))
(* 1/3 (sqrt x))
(* 1/3 (sqrt x))
(* 1/3 (sqrt x))
(* 1/3 (sqrt x))
(* 1/3 (sqrt x))
(* 1/3 (sqrt x))
(* 1/3 (sqrt x))
(* 1/3 (sqrt x))
(* -1/3 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1/3 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1/3 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1/3 (* (sqrt x) (pow (sqrt -1) 2)))
(* (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))))))
(* 1/3 (sqrt (/ 1 x)))
(/ (+ (* 1/3 (sqrt x)) (* (sqrt (pow x 3)) (* y (- 3 (* 3 (/ 1 y)))))) x)
(/ (+ (* 1/3 (sqrt x)) (* (sqrt (pow x 3)) (* y (- 3 (* 3 (/ 1 y)))))) x)
(/ (+ (* 1/3 (sqrt x)) (* (sqrt (pow x 3)) (* y (- 3 (* 3 (/ 1 y)))))) x)
(* (sqrt x) (* y (- 3 (* 3 (/ 1 y)))))
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (* y (- 3 (* 3 (/ 1 y)))))))
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (* y (- 3 (* 3 (/ 1 y)))))))
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (* y (- 3 (* 3 (/ 1 y)))))))
(* -1 (* (sqrt x) (* y (* (pow (sqrt -1) 2) (- 3 (* 3 (/ 1 y)))))))
(* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (* y (* (pow (sqrt -1) 2) (- 3 (* 3 (/ 1 y)))))))))
(* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (* y (* (pow (sqrt -1) 2) (- 3 (* 3 (/ 1 y)))))))))
(* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (* y (* (pow (sqrt -1) 2) (- 3 (* 3 (/ 1 y)))))))))
(* 1/3 (* (sqrt (/ 1 x)) (/ 1 y)))
(/ (+ (* 1/3 (* (sqrt x) (/ 1 y))) (* (sqrt (pow x 3)) (- 3 (* 3 (/ 1 y))))) x)
(/ (+ (* 1/3 (* (sqrt x) (/ 1 y))) (* (sqrt (pow x 3)) (- 3 (* 3 (/ 1 y))))) x)
(/ (+ (* 1/3 (* (sqrt x) (/ 1 y))) (* (sqrt (pow x 3)) (- 3 (* 3 (/ 1 y))))) x)
(* (sqrt x) (- 3 (* 3 (/ 1 y))))
(* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (/ 1 y))) (* (sqrt (/ 1 x)) (- 3 (* 3 (/ 1 y))))))
(* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (/ 1 y))) (* (sqrt (/ 1 x)) (- 3 (* 3 (/ 1 y))))))
(* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (/ 1 y))) (* (sqrt (/ 1 x)) (- 3 (* 3 (/ 1 y))))))
(* -1 (* (sqrt x) (* (pow (sqrt -1) 2) (- 3 (* 3 (/ 1 y))))))
(* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (/ (pow (sqrt -1) 2) y))) (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- 3 (* 3 (/ 1 y))))))))
(* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (/ (pow (sqrt -1) 2) y))) (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- 3 (* 3 (/ 1 y))))))))
(* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (/ (pow (sqrt -1) 2) y))) (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- 3 (* 3 (/ 1 y))))))))
(* (sqrt x) (/ (- (* 1/3 (/ 1 x)) 3) y))
(/ (+ (* 3 (* (sqrt x) y)) (* (sqrt x) (- (* 1/3 (/ 1 x)) 3))) y)
(/ (+ (* 3 (* (sqrt x) y)) (* (sqrt x) (- (* 1/3 (/ 1 x)) 3))) y)
(/ (+ (* 3 (* (sqrt x) y)) (* (sqrt x) (- (* 1/3 (/ 1 x)) 3))) y)
(* 3 (sqrt x))
(+ (* 3 (sqrt x)) (* (sqrt x) (/ (- (* 1/3 (/ 1 x)) 3) y)))
(+ (* 3 (sqrt x)) (* (sqrt x) (/ (- (* 1/3 (/ 1 x)) 3) y)))
(+ (* 3 (sqrt x)) (* (sqrt x) (/ (- (* 1/3 (/ 1 x)) 3) y)))
(* 3 (sqrt x))
(+ (* 3 (sqrt x)) (* (sqrt x) (/ (- (* 1/3 (/ 1 x)) 3) y)))
(+ (* 3 (sqrt x)) (* (sqrt x) (/ (- (* 1/3 (/ 1 x)) 3) y)))
(+ (* 3 (sqrt x)) (* (sqrt x) (/ (- (* 1/3 (/ 1 x)) 3) y)))
(/ 1/3 (* x y))
(/ (+ (* x (- 3 (* 3 (/ 1 y)))) (* 1/3 (/ 1 y))) x)
(/ (+ (* x (- 3 (* 3 (/ 1 y)))) (* 1/3 (/ 1 y))) x)
(/ (+ (* x (- 3 (* 3 (/ 1 y)))) (* 1/3 (/ 1 y))) x)
(- 3 (* 3 (/ 1 y)))
(- (+ 3 (* 1/3 (/ 1 (* x y)))) (* 3 (/ 1 y)))
(- (+ 3 (* 1/3 (/ 1 (* x y)))) (* 3 (/ 1 y)))
(- (+ 3 (* 1/3 (/ 1 (* x y)))) (* 3 (/ 1 y)))
(- 3 (* 3 (/ 1 y)))
(- (+ 3 (* 1/3 (/ 1 (* x y)))) (* 3 (/ 1 y)))
(- (+ 3 (* 1/3 (/ 1 (* x y)))) (* 3 (/ 1 y)))
(- (+ 3 (* 1/3 (/ 1 (* x y)))) (* 3 (/ 1 y)))
(/ (- (* 1/3 (/ 1 x)) 3) y)
(/ (- (+ (* 1/3 (/ 1 x)) (* 3 y)) 3) y)
(/ (- (+ (* 1/3 (/ 1 x)) (* 3 y)) 3) y)
(/ (- (+ (* 1/3 (/ 1 x)) (* 3 y)) 3) y)
3
(- (+ 3 (/ 1/3 (* x y))) (* 3 (/ 1 y)))
(- (+ 3 (/ 1/3 (* x y))) (* 3 (/ 1 y)))
(- (+ 3 (/ 1/3 (* x y))) (* 3 (/ 1 y)))
3
(- (+ 3 (/ 1/3 (* x y))) (* 3 (/ 1 y)))
(- (+ 3 (/ 1/3 (* x y))) (* 3 (/ 1 y)))
(- (+ 3 (/ 1/3 (* x y))) (* 3 (/ 1 y)))
(/ 1/9 x)
(/ 1/9 x)
(/ 1/9 x)
(/ 1/9 x)
(/ 1/9 x)
(/ 1/9 x)
(/ 1/9 x)
(/ 1/9 x)
(/ 1/9 x)
(/ 1/9 x)
(/ 1/9 x)
(/ 1/9 x)
(/ 1/9 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)))
(/ 1/3 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 (* x y))
(/ (+ (* -3 (/ x y)) (* 1/3 (/ 1 y))) x)
(/ (+ (* -3 (/ x y)) (* 1/3 (/ 1 y))) x)
(/ (+ (* -3 (/ x y)) (* 1/3 (/ 1 y))) x)
(/ -3 y)
(- (* 1/3 (/ 1 (* x y))) (* 3 (/ 1 y)))
(- (* 1/3 (/ 1 (* x y))) (* 3 (/ 1 y)))
(- (* 1/3 (/ 1 (* x y))) (* 3 (/ 1 y)))
(/ -3 y)
(- (* 1/3 (/ 1 (* x y))) (* 3 (/ 1 y)))
(- (* 1/3 (/ 1 (* x y))) (* 3 (/ 1 y)))
(- (* 1/3 (/ 1 (* x y))) (* 3 (/ 1 y)))
(/ (- (* 1/3 (/ 1 x)) 3) y)
(/ (- (* 1/3 (/ 1 x)) 3) y)
(/ (- (* 1/3 (/ 1 x)) 3) y)
(/ (- (* 1/3 (/ 1 x)) 3) y)
(/ (- (* 1/3 (/ 1 x)) 3) y)
(/ (- (* 1/3 (/ 1 x)) 3) y)
(/ (- (* 1/3 (/ 1 x)) 3) y)
(/ (- (* 1/3 (/ 1 x)) 3) y)
(/ (- (* 1/3 (/ 1 x)) 3) y)
(/ (- (* 1/3 (/ 1 x)) 3) y)
(/ (- (* 1/3 (/ 1 x)) 3) y)
(/ (- (* 1/3 (/ 1 x)) 3) y)
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 #s(literal 3 binary64) (*.f64 (sqrt.f64 (*.f64 x (*.f64 x x))) (+.f64 y #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 #s(literal 3 binary64) (*.f64 (sqrt.f64 (*.f64 x (*.f64 x x))) (+.f64 y #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 #s(literal 3 binary64) (*.f64 (sqrt.f64 (*.f64 x (*.f64 x x))) (+.f64 y #s(literal -1 binary64))))) x)
(* 3 (* (sqrt x) (- y 1)))
(*.f64 (sqrt.f64 x) (+.f64 #s(literal -3 binary64) (*.f64 #s(literal 3 binary64) y)))
(* 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 #s(literal 3 binary64) (-.f64 #s(literal 1 binary64) y)))))
(* 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 #s(literal 3 binary64) (-.f64 #s(literal 1 binary64) y)))))
(* 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 #s(literal 3 binary64) (-.f64 #s(literal 1 binary64) y)))))
(* -3 (* (sqrt x) (* (pow (sqrt -1) 2) (- y 1))))
(*.f64 (sqrt.f64 x) (+.f64 #s(literal -3 binary64) (*.f64 #s(literal 3 binary64) y)))
(* -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 #s(literal 3 binary64) (-.f64 #s(literal 1 binary64) y)))))
(* -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 #s(literal 3 binary64) (-.f64 #s(literal 1 binary64) y)))))
(* -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 #s(literal 3 binary64) (-.f64 #s(literal 1 binary64) y)))))
(* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1)))
(*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/9 binary64) x)) (*.f64 (sqrt.f64 x) #s(literal 3 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 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x))))
(+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1))))
(*.f64 (*.f64 (sqrt.f64 x) #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 (*.f64 (sqrt.f64 x) #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 (*.f64 (sqrt.f64 x) #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 (*.f64 (sqrt.f64 x) #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 (*.f64 (sqrt.f64 x) #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 (*.f64 (sqrt.f64 x) #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 (*.f64 (sqrt.f64 x) #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 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) (-.f64 y (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) 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 (/.f64 #s(literal 1 binary64) 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 (/.f64 #s(literal 1 binary64) 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 (/.f64 #s(literal 1 binary64) x) (*.f64 x x))) #s(literal 1/9 binary64))))
(* -1 (* (sqrt x) (* (pow (sqrt -1) 2) (- y 1))))
(*.f64 (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 x (+.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (+.f64 y #s(literal -1 binary64))) (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) 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 x (+.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (+.f64 y #s(literal -1 binary64))) (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) 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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(/ (+ (* 1/3 (* (sqrt x) (/ 1 y))) (* (sqrt (pow x 3)) (- 3 (* 3 (/ 1 y))))) x)
(/.f64 (+.f64 (/.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) y) (*.f64 (sqrt.f64 (*.f64 x (*.f64 x x))) (+.f64 #s(literal 3 binary64) (/.f64 #s(literal -3 binary64) y)))) x)
(/ (+ (* 1/3 (* (sqrt x) (/ 1 y))) (* (sqrt (pow x 3)) (- 3 (* 3 (/ 1 y))))) x)
(/.f64 (+.f64 (/.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) y) (*.f64 (sqrt.f64 (*.f64 x (*.f64 x x))) (+.f64 #s(literal 3 binary64) (/.f64 #s(literal -3 binary64) y)))) x)
(* (sqrt x) (- 3 (* 3 (/ 1 y))))
(*.f64 (sqrt.f64 x) (+.f64 #s(literal 3 binary64) (/.f64 #s(literal -3 binary64) y)))
(* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (/ 1 y))) (* (sqrt (/ 1 x)) (- 3 (* 3 (/ 1 y))))))
(*.f64 x (+.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 x x))) (/.f64 #s(literal 1/3 binary64) y)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 3 binary64) (/.f64 #s(literal -3 binary64) y)))))
(* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (/ 1 y))) (* (sqrt (/ 1 x)) (- 3 (* 3 (/ 1 y))))))
(*.f64 x (+.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 x x))) (/.f64 #s(literal 1/3 binary64) y)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 3 binary64) (/.f64 #s(literal -3 binary64) y)))))
(* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (/ 1 y))) (* (sqrt (/ 1 x)) (- 3 (* 3 (/ 1 y))))))
(*.f64 x (+.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 x x))) (/.f64 #s(literal 1/3 binary64) y)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 3 binary64) (/.f64 #s(literal -3 binary64) y)))))
(* -1 (* (sqrt x) (* (pow (sqrt -1) 2) (- 3 (* 3 (/ 1 y))))))
(*.f64 (sqrt.f64 x) (+.f64 #s(literal 3 binary64) (/.f64 #s(literal -3 binary64) y)))
(* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (/ (pow (sqrt -1) 2) y))) (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- 3 (* 3 (/ 1 y))))))))
(*.f64 x (+.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 x x))) (/.f64 #s(literal 1/3 binary64) y)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 3 binary64) (/.f64 #s(literal -3 binary64) y)))))
(* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (/ (pow (sqrt -1) 2) y))) (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- 3 (* 3 (/ 1 y))))))))
(*.f64 x (+.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 x x))) (/.f64 #s(literal 1/3 binary64) y)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 3 binary64) (/.f64 #s(literal -3 binary64) y)))))
(* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (/ (pow (sqrt -1) 2) y))) (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- 3 (* 3 (/ 1 y))))))))
(*.f64 x (+.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 x x))) (/.f64 #s(literal 1/3 binary64) y)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 3 binary64) (/.f64 #s(literal -3 binary64) y)))))
(* (sqrt x) (/ (- (* 1/3 (/ 1 x)) 3) y))
(*.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)) (/.f64 (sqrt.f64 x) y))
(/ (+ (* 3 (* (sqrt x) y)) (* (sqrt x) (- (* 1/3 (/ 1 x)) 3))) y)
(/.f64 (*.f64 (sqrt.f64 x) (-.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)) (*.f64 y #s(literal -3 binary64)))) y)
(/ (+ (* 3 (* (sqrt x) y)) (* (sqrt x) (- (* 1/3 (/ 1 x)) 3))) y)
(/.f64 (*.f64 (sqrt.f64 x) (-.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)) (*.f64 y #s(literal -3 binary64)))) y)
(/ (+ (* 3 (* (sqrt x) y)) (* (sqrt x) (- (* 1/3 (/ 1 x)) 3))) y)
(/.f64 (*.f64 (sqrt.f64 x) (-.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)) (*.f64 y #s(literal -3 binary64)))) y)
(* 3 (sqrt x))
(*.f64 (sqrt.f64 x) #s(literal 3 binary64))
(+ (* 3 (sqrt x)) (* (sqrt x) (/ (- (* 1/3 (/ 1 x)) 3) y)))
(*.f64 (sqrt.f64 x) (+.f64 #s(literal 3 binary64) (/.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)) y)))
(+ (* 3 (sqrt x)) (* (sqrt x) (/ (- (* 1/3 (/ 1 x)) 3) y)))
(*.f64 (sqrt.f64 x) (+.f64 #s(literal 3 binary64) (/.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)) y)))
(+ (* 3 (sqrt x)) (* (sqrt x) (/ (- (* 1/3 (/ 1 x)) 3) y)))
(*.f64 (sqrt.f64 x) (+.f64 #s(literal 3 binary64) (/.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)) y)))
(* 3 (sqrt x))
(*.f64 (sqrt.f64 x) #s(literal 3 binary64))
(+ (* 3 (sqrt x)) (* (sqrt x) (/ (- (* 1/3 (/ 1 x)) 3) y)))
(*.f64 (sqrt.f64 x) (+.f64 #s(literal 3 binary64) (/.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)) y)))
(+ (* 3 (sqrt x)) (* (sqrt x) (/ (- (* 1/3 (/ 1 x)) 3) y)))
(*.f64 (sqrt.f64 x) (+.f64 #s(literal 3 binary64) (/.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)) y)))
(+ (* 3 (sqrt x)) (* (sqrt x) (/ (- (* 1/3 (/ 1 x)) 3) y)))
(*.f64 (sqrt.f64 x) (+.f64 #s(literal 3 binary64) (/.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)) y)))
(/ 1/3 (* x y))
(/.f64 #s(literal 1/3 binary64) (*.f64 x y))
(/ (+ (* x (- 3 (* 3 (/ 1 y)))) (* 1/3 (/ 1 y))) x)
(/.f64 (+.f64 (*.f64 x (+.f64 #s(literal 3 binary64) (/.f64 #s(literal -3 binary64) y))) (/.f64 #s(literal 1/3 binary64) y)) x)
(/ (+ (* x (- 3 (* 3 (/ 1 y)))) (* 1/3 (/ 1 y))) x)
(/.f64 (+.f64 (*.f64 x (+.f64 #s(literal 3 binary64) (/.f64 #s(literal -3 binary64) y))) (/.f64 #s(literal 1/3 binary64) y)) x)
(/ (+ (* x (- 3 (* 3 (/ 1 y)))) (* 1/3 (/ 1 y))) x)
(/.f64 (+.f64 (*.f64 x (+.f64 #s(literal 3 binary64) (/.f64 #s(literal -3 binary64) y))) (/.f64 #s(literal 1/3 binary64) y)) x)
(- 3 (* 3 (/ 1 y)))
(+.f64 #s(literal 3 binary64) (/.f64 #s(literal -3 binary64) y))
(- (+ 3 (* 1/3 (/ 1 (* x y)))) (* 3 (/ 1 y)))
(+.f64 #s(literal 3 binary64) (/.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)) y))
(- (+ 3 (* 1/3 (/ 1 (* x y)))) (* 3 (/ 1 y)))
(+.f64 #s(literal 3 binary64) (/.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)) y))
(- (+ 3 (* 1/3 (/ 1 (* x y)))) (* 3 (/ 1 y)))
(+.f64 #s(literal 3 binary64) (/.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)) y))
(- 3 (* 3 (/ 1 y)))
(+.f64 #s(literal 3 binary64) (/.f64 #s(literal -3 binary64) y))
(- (+ 3 (* 1/3 (/ 1 (* x y)))) (* 3 (/ 1 y)))
(+.f64 #s(literal 3 binary64) (/.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)) y))
(- (+ 3 (* 1/3 (/ 1 (* x y)))) (* 3 (/ 1 y)))
(+.f64 #s(literal 3 binary64) (/.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)) y))
(- (+ 3 (* 1/3 (/ 1 (* x y)))) (* 3 (/ 1 y)))
(+.f64 #s(literal 3 binary64) (/.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)) y))
(/ (- (* 1/3 (/ 1 x)) 3) y)
(/.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)) y)
(/ (- (+ (* 1/3 (/ 1 x)) (* 3 y)) 3) y)
(/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) x) (+.f64 #s(literal -3 binary64) (*.f64 #s(literal 3 binary64) y))) y)
(/ (- (+ (* 1/3 (/ 1 x)) (* 3 y)) 3) y)
(/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) x) (+.f64 #s(literal -3 binary64) (*.f64 #s(literal 3 binary64) y))) y)
(/ (- (+ (* 1/3 (/ 1 x)) (* 3 y)) 3) y)
(/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) x) (+.f64 #s(literal -3 binary64) (*.f64 #s(literal 3 binary64) y))) y)
3
#s(literal 3 binary64)
(- (+ 3 (/ 1/3 (* x y))) (* 3 (/ 1 y)))
(+.f64 #s(literal 3 binary64) (/.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)) y))
(- (+ 3 (/ 1/3 (* x y))) (* 3 (/ 1 y)))
(+.f64 #s(literal 3 binary64) (/.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)) y))
(- (+ 3 (/ 1/3 (* x y))) (* 3 (/ 1 y)))
(+.f64 #s(literal 3 binary64) (/.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)) y))
3
#s(literal 3 binary64)
(- (+ 3 (/ 1/3 (* x y))) (* 3 (/ 1 y)))
(+.f64 #s(literal 3 binary64) (/.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)) y))
(- (+ 3 (/ 1/3 (* x y))) (* 3 (/ 1 y)))
(+.f64 #s(literal 3 binary64) (/.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)) y))
(- (+ 3 (/ 1/3 (* x y))) (* 3 (/ 1 y)))
(+.f64 #s(literal 3 binary64) (/.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)) y))
(/ 1/9 x)
(/.f64 #s(literal 1/9 binary64) x)
(/ 1/9 x)
(/.f64 #s(literal 1/9 binary64) x)
(/ 1/9 x)
(/.f64 #s(literal 1/9 binary64) x)
(/ 1/9 x)
(/.f64 #s(literal 1/9 binary64) x)
(/ 1/9 x)
(/.f64 #s(literal 1/9 binary64) x)
(/ 1/9 x)
(/.f64 #s(literal 1/9 binary64) x)
(/ 1/9 x)
(/.f64 #s(literal 1/9 binary64) x)
(/ 1/9 x)
(/.f64 #s(literal 1/9 binary64) x)
(/ 1/9 x)
(/.f64 #s(literal 1/9 binary64) x)
(/ 1/9 x)
(/.f64 #s(literal 1/9 binary64) x)
(/ 1/9 x)
(/.f64 #s(literal 1/9 binary64) x)
(/ 1/9 x)
(/.f64 #s(literal 1/9 binary64) x)
(/ 1/9 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 #s(literal 1/9 binary64) (*.f64 x y)) x)
(/ (+ 1/9 (* x y)) x)
(/.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 x y)) x)
(/ (+ 1/9 (* x y)) x)
(/.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 x y)) 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))
(/ 1/3 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 (* x y))
(/.f64 #s(literal 1/3 binary64) (*.f64 x y))
(/ (+ (* -3 (/ x y)) (* 1/3 (/ 1 y))) x)
(/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) y) (*.f64 x (/.f64 #s(literal -3 binary64) y))) x)
(/ (+ (* -3 (/ x y)) (* 1/3 (/ 1 y))) x)
(/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) y) (*.f64 x (/.f64 #s(literal -3 binary64) y))) x)
(/ (+ (* -3 (/ x y)) (* 1/3 (/ 1 y))) x)
(/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) y) (*.f64 x (/.f64 #s(literal -3 binary64) y))) x)
(/ -3 y)
(/.f64 #s(literal -3 binary64) y)
(- (* 1/3 (/ 1 (* x y))) (* 3 (/ 1 y)))
(/.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)) y)
(- (* 1/3 (/ 1 (* x y))) (* 3 (/ 1 y)))
(/.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)) y)
(- (* 1/3 (/ 1 (* x y))) (* 3 (/ 1 y)))
(/.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)) y)
(/ -3 y)
(/.f64 #s(literal -3 binary64) y)
(- (* 1/3 (/ 1 (* x y))) (* 3 (/ 1 y)))
(/.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)) y)
(- (* 1/3 (/ 1 (* x y))) (* 3 (/ 1 y)))
(/.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)) y)
(- (* 1/3 (/ 1 (* x y))) (* 3 (/ 1 y)))
(/.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)) y)
(/ (- (* 1/3 (/ 1 x)) 3) y)
(/.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)) y)
(/ (- (* 1/3 (/ 1 x)) 3) y)
(/.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)) y)
(/ (- (* 1/3 (/ 1 x)) 3) y)
(/.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)) y)
(/ (- (* 1/3 (/ 1 x)) 3) y)
(/.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)) y)
(/ (- (* 1/3 (/ 1 x)) 3) y)
(/.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)) y)
(/ (- (* 1/3 (/ 1 x)) 3) y)
(/.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)) y)
(/ (- (* 1/3 (/ 1 x)) 3) y)
(/.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)) y)
(/ (- (* 1/3 (/ 1 x)) 3) y)
(/.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)) y)
(/ (- (* 1/3 (/ 1 x)) 3) y)
(/.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)) y)
(/ (- (* 1/3 (/ 1 x)) 3) y)
(/.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)) y)
(/ (- (* 1/3 (/ 1 x)) 3) y)
(/.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)) y)
(/ (- (* 1/3 (/ 1 x)) 3) y)
(/.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)) y)

eval144.0ms (1.2%)

Compiler

Compiled 18391 to 2185 computations (88.1% saved)

prune118.0ms (0.9%)

Pruning

29 alts after pruning (27 fresh and 2 done)

PrunedKeptTotal
New1015161031
Fresh91120
Picked325
Done101
Total1028291057
Accuracy
100.0%
Counts
1057 → 29
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.4%
(/.f64 (+.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal -1 binary64)) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)))
35.4%
(/.f64 (*.f64 (sqrt.f64 x) #s(literal 1/3 binary64)) x)
35.4%
(/.f64 (sqrt.f64 x) (/.f64 x #s(literal 1/3 binary64)))
99.3%
(/.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)))))
38.7%
(/.f64 y (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)))
35.4%
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 x) #s(literal 1/3 binary64)))
35.4%
(/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal 3 binary64)))
35.4%
(/.f64 #s(literal 1/3 binary64) (sqrt.f64 x))
35.4%
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1/3 binary64))
99.4%
(*.f64 (/.f64 (sqrt.f64 x) #s(literal 1/3 binary64)) (+.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal -1 binary64)))
38.7%
(*.f64 (/.f64 (sqrt.f64 x) #s(literal 1/3 binary64)) y)
38.7%
(*.f64 (/.f64 x (*.f64 (sqrt.f64 x) #s(literal 1/3 binary64))) y)
35.4%
(*.f64 (/.f64 #s(literal 1/3 binary64) x) (sqrt.f64 x))
62.3%
(*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/9 binary64) x)) (*.f64 (sqrt.f64 x) #s(literal 3 binary64)))
99.4%
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1/2 binary64))) (+.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal -1 binary64))) #s(literal 3 binary64))
64.5%
(*.f64 (*.f64 (sqrt.f64 x) (+.f64 y #s(literal -1 binary64))) #s(literal 3 binary64))
64.5%
(*.f64 (*.f64 (sqrt.f64 x) y) (+.f64 #s(literal 3 binary64) (/.f64 #s(literal -3 binary64) y)))
38.7%
(*.f64 (*.f64 (sqrt.f64 x) y) #s(literal 3 binary64))
38.7%
(*.f64 (*.f64 y #s(literal 3 binary64)) (sqrt.f64 x))
38.7%
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) y)
62.5%
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/9 binary64) (*.f64 x #s(literal -27 binary64)))))
3.0%
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/3 binary64))
62.4%
(*.f64 (sqrt.f64 x) (/.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/9 binary64) (*.f64 x #s(literal -27 binary64)))) x))
52.5%
(*.f64 (sqrt.f64 x) (/.f64 (+.f64 #s(literal -9 binary64) (*.f64 y (*.f64 y #s(literal 9 binary64)))) (+.f64 #s(literal 3 binary64) (*.f64 #s(literal 3 binary64) y))))
14.5%
(*.f64 (sqrt.f64 x) (/.f64 (*.f64 x (*.f64 (*.f64 y y) #s(literal 27 binary64))) (*.f64 (+.f64 (*.f64 #s(literal 3 binary64) y) #s(literal 3 binary64)) (/.f64 x #s(literal 1/3 binary64)))))
62.3%
(*.f64 (sqrt.f64 x) (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64)))
72.3%
(*.f64 (sqrt.f64 x) (+.f64 (*.f64 #s(literal 3 binary64) y) (/.f64 #s(literal 1/3 binary64) x)))
64.5%
(*.f64 (sqrt.f64 x) (+.f64 (*.f64 #s(literal 3 binary64) y) #s(literal -3 binary64)))
58.9%
(*.f64 y (*.f64 (sqrt.f64 x) (+.f64 #s(literal 3 binary64) (/.f64 #s(literal -3 binary64) y))))
Compiler

Compiled 622 to 485 computations (22% saved)

simplify182.0ms (1.5%)

Algorithm
egg-herbie
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 (sqrt.f64 x) #s(literal 3 binary64))
cost-diff0
(/.f64 #s(literal 1/9 binary64) x)
cost-diff0
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/9 binary64) x))
cost-diff128
(*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/9 binary64) x)) (*.f64 (sqrt.f64 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 (sqrt.f64 x) #s(literal 3 binary64))
cost-diff128
(/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal 3 binary64)))
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
(pow.f64 x #s(literal -1/2 binary64))
cost-diff0
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1/2 binary64)))
cost-diff128
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1/2 binary64))) (+.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal -1 binary64)))
cost-diff128
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1/2 binary64))) (+.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal -1 binary64))) #s(literal 3 binary64))
Rules
1914×*-lowering-*.f32
1914×*-lowering-*.f64
1636×sum5-define
1560×fnmadd-define
1508×fma-lowering-fma.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
025124
162121
2165121
3453121
4957121
51371121
62167121
74245121
08136121
Stop Event
iter limit
node limit
Calls
Call 1
Inputs
(* (* (/ 1 (pow x -1/2)) (+ (+ y (/ 1/9 x)) -1)) 3)
(* (/ 1 (pow x -1/2)) (+ (+ y (/ 1/9 x)) -1))
(/ 1 (pow x -1/2))
1
(pow x -1/2)
x
-1/2
(+ (+ y (/ 1/9 x)) -1)
(+ y (/ 1/9 x))
y
(/ 1/9 x)
1/9
-1
3
(* (pow x -1/2) 1/3)
(pow x -1/2)
x
-1/2
1/3
(/ 1 (* (sqrt x) 3))
1
(* (sqrt x) 3)
(sqrt x)
x
3
(* (sqrt x) (+ (/ 1/3 x) -3))
(sqrt x)
x
(+ (/ 1/3 x) -3)
(/ 1/3 x)
1/3
-3
(* (+ -1 (/ 1/9 x)) (* (sqrt x) 3))
(+ -1 (/ 1/9 x))
-1
(/ 1/9 x)
1/9
x
(* (sqrt x) 3)
(sqrt x)
3
Outputs
(* (* (/ 1 (pow x -1/2)) (+ (+ y (/ 1/9 x)) -1)) 3)
(/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) x) (+.f64 #s(literal -3 binary64) (*.f64 y #s(literal 3 binary64)))) (pow.f64 x #s(literal -1/2 binary64)))
(* (/ 1 (pow x -1/2)) (+ (+ y (/ 1/9 x)) -1))
(/.f64 (+.f64 y (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64))) (pow.f64 x #s(literal -1/2 binary64)))
(/ 1 (pow x -1/2))
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1/2 binary64)))
1
#s(literal 1 binary64)
(pow x -1/2)
(pow.f64 x #s(literal -1/2 binary64))
x
-1/2
#s(literal -1/2 binary64)
(+ (+ y (/ 1/9 x)) -1)
(+.f64 y (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)))
(+ y (/ 1/9 x))
(+.f64 y (/.f64 #s(literal 1/9 binary64) x))
y
(/ 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)
(* (pow x -1/2) 1/3)
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1/3 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 (* (sqrt x) 3))
(/.f64 #s(literal 1/3 binary64) (sqrt.f64 x))
1
#s(literal 1 binary64)
(* (sqrt x) 3)
(*.f64 #s(literal 3 binary64) (sqrt.f64 x))
(sqrt x)
(sqrt.f64 x)
x
3
#s(literal 3 binary64)
(* (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)
(* (+ -1 (/ 1/9 x)) (* (sqrt x) 3))
(*.f64 (sqrt.f64 x) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)))
(+ -1 (/ 1/9 x))
(+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64))
-1
#s(literal -1 binary64)
(/ 1/9 x)
(/.f64 #s(literal 1/9 binary64) x)
1/9
#s(literal 1/9 binary64)
x
(* (sqrt x) 3)
(*.f64 #s(literal 3 binary64) (sqrt.f64 x))
(sqrt x)
(sqrt.f64 x)
3
#s(literal 3 binary64)

localize261.0ms (2.1%)

Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(sqrt.f64 x)
accuracy99.7%
(*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/9 binary64) x)) (*.f64 (sqrt.f64 x) #s(literal 3 binary64)))
accuracy99.6%
(*.f64 (sqrt.f64 x) #s(literal 3 binary64))
accuracy99.5%
(/.f64 #s(literal 1/9 binary64) x)
accuracy100.0%
(+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64))
accuracy100.0%
(sqrt.f64 x)
accuracy99.5%
(*.f64 (sqrt.f64 x) (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64)))
accuracy99.4%
(/.f64 #s(literal 1/3 binary64) x)
accuracy100.0%
(sqrt.f64 x)
accuracy99.6%
(*.f64 (sqrt.f64 x) #s(literal 3 binary64))
accuracy99.6%
(/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal 3 binary64)))
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))
accuracy99.7%
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1/2 binary64))) (+.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal -1 binary64)))
accuracy99.6%
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1/2 binary64)))
accuracy99.5%
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1/2 binary64))) (+.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal -1 binary64))) #s(literal 3 binary64))
accuracy99.5%
(/.f64 #s(literal 1/9 binary64) x)
Results
212.0ms256×0valid
Compiler

Compiled 136 to 26 computations (80.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 79.0ms
ival-pow: 28.0ms (35.5% of total)
ival-mult: 27.0ms (34.3% of total)
...c/correct-round.rkt:119:19: 8.0ms (10.2% of total)
ival-div: 7.0ms (8.9% of total)
ival-add: 5.0ms (6.3% of total)
ival-sqrt: 2.0ms (2.5% of total)
const: 1.0ms (1.3% of total)
backward-pass: 0.0ms (0% of total)

series7.0ms (0.1%)

Counts
14 → 192
Calls
Call 1
Inputs
#<alt (* (* (/ 1 (pow x -1/2)) (+ (+ y (/ 1/9 x)) -1)) 3)>
#<alt (* (/ 1 (pow x -1/2)) (+ (+ y (/ 1/9 x)) -1))>
#<alt (/ 1 (pow x -1/2))>
#<alt (pow x -1/2)>
#<alt (* (pow x -1/2) 1/3)>
#<alt (/ 1 (* (sqrt x) 3))>
#<alt (* (sqrt x) 3)>
#<alt (sqrt x)>
#<alt (* (sqrt x) (+ (/ 1/3 x) -3))>
#<alt (+ (/ 1/3 x) -3)>
#<alt (/ 1/3 x)>
#<alt (* (+ -1 (/ 1/9 x)) (* (sqrt x) 3))>
#<alt (+ -1 (/ 1/9 x))>
#<alt (/ 1/9 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) (- y 1)))>
#<alt (* -1 (* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) (- y 1))))))>
#<alt (* -1 (* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) (- y 1))))))>
#<alt (* -1 (* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) (- 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) (- y 1)))>
#<alt (* -1 (* x (+ (* 1/9 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (- y 1)))))>
#<alt (* -1 (* x (+ (* 1/9 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (- y 1)))))>
#<alt (* -1 (* x (+ (* 1/9 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (- 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))>
#<alt (* -1 (sqrt x))>
#<alt (* -1 (sqrt x))>
#<alt (* -1 (sqrt 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))>
#<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 (* 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))>
#<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 (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 (/ 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)>
Calls

48 calls:

TimeVariablePointExpression
1.0ms
x
@-inf
(* (* (/ 1 (pow x -1/2)) (+ (+ y (/ 1/9 x)) -1)) 3)
1.0ms
x
@-inf
(* (+ -1 (/ 1/9 x)) (* (sqrt x) 3))
0.0ms
x
@0
(pow x -1/2)
0.0ms
x
@-inf
(* (sqrt x) (+ (/ 1/3 x) -3))
0.0ms
x
@-inf
(pow x -1/2)

rewrite380.0ms (3%)

Algorithm
batch-egg-rewrite
Rules
4652×/-lowering-/.f32
4652×/-lowering-/.f64
3650×*-lowering-*.f32
3650×*-lowering-*.f64
1980×+-lowering-+.f64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
02575
114872
2131272
0815272
Stop Event
iter limit
node limit
Counts
14 → 855
Calls
Call 1
Inputs
(* (* (/ 1 (pow x -1/2)) (+ (+ y (/ 1/9 x)) -1)) 3)
(* (/ 1 (pow x -1/2)) (+ (+ y (/ 1/9 x)) -1))
(/ 1 (pow x -1/2))
(pow x -1/2)
(* (pow x -1/2) 1/3)
(/ 1 (* (sqrt x) 3))
(* (sqrt x) 3)
(sqrt x)
(* (sqrt x) (+ (/ 1/3 x) -3))
(+ (/ 1/3 x) -3)
(/ 1/3 x)
(* (+ -1 (/ 1/9 x)) (* (sqrt x) 3))
(+ -1 (/ 1/9 x))
(/ 1/9 x)
Outputs
(+.f64 (*.f64 #s(literal 3 binary64) (/.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) (pow.f64 x #s(literal -1/2 binary64)))) (/.f64 #s(literal -3 binary64) (pow.f64 x #s(literal -1/2 binary64))))
(+.f64 (*.f64 (/.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) (pow.f64 x #s(literal -1/2 binary64))) #s(literal 3 binary64)) (/.f64 #s(literal -3 binary64) (pow.f64 x #s(literal -1/2 binary64))))
(fma.f64 #s(literal 3 binary64) (/.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) (pow.f64 x #s(literal -1/2 binary64))) (/.f64 #s(literal -3 binary64) (pow.f64 x #s(literal -1/2 binary64))))
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(*.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64))))
(*.f64 (/.f64 #s(literal 3 binary64) (pow.f64 x #s(literal -1/2 binary64))) (+.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 #s(literal 3 binary64) (pow.f64 x #s(literal -1/2 binary64))))
(*.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)) (pow.f64 x #s(literal -1/2 binary64))) #s(literal 3 binary64))
(*.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)) #s(literal 3 binary64)) (sqrt.f64 x))
(+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64))
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/9 binary64) x))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/9 binary64) x))) (/.f64 (/.f64 #s(literal 1/81 binary64) (*.f64 x x)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/9 binary64) x))))
(-.f64 (/.f64 (/.f64 #s(literal 1/81 binary64) (*.f64 x x)) (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64))))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64))
(fma.f64 #s(literal 1/9 binary64) (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))
(fma.f64 #s(literal -1/9 binary64) (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/9 binary64) #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #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 (/.f64 #s(literal 1/81 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x))) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/729 binary64) (*.f64 x (*.f64 x x))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)) (-.f64 (/.f64 #s(literal 1/81 binary64) (*.f64 x x)) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)))))
(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/729 binary64) (*.f64 x (*.f64 x x)))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)) (/.f64 x #s(literal 1/9 binary64)))))
(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/729 binary64) (*.f64 x (*.f64 x x)))) (+.f64 (/.f64 #s(literal 1/81 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x))))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/81 binary64) (*.f64 x x))) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/9 binary64) x)))
(/.f64 (neg.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/729 binary64) (*.f64 x (*.f64 x x))))) (neg.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)) (/.f64 x #s(literal 1/9 binary64))))))
(/.f64 (neg.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/729 binary64) (*.f64 x (*.f64 x x))))) (neg.f64 (+.f64 (/.f64 #s(literal 1/81 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/81 binary64) (*.f64 x x)))) (neg.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/9 binary64) x))))
(/.f64 (-.f64 (/.f64 #s(literal 1/81 binary64) (*.f64 x x)) #s(literal 1 binary64)) (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/9 binary64) x))) (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/9 binary64) x)) (/.f64 #s(literal 1/81 binary64) (*.f64 x x)))) (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/9 binary64) x)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/9 binary64) x))))
(/.f64 (neg.f64 (neg.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/729 binary64) (*.f64 x (*.f64 x x)))))) (neg.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)) (/.f64 x #s(literal 1/9 binary64)))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/81 binary64) (*.f64 x x))))) (neg.f64 (neg.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/9 binary64) x)))))
(/.f64 (neg.f64 (-.f64 (/.f64 #s(literal 1/81 binary64) (*.f64 x x)) #s(literal 1 binary64))) (neg.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64))))
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/9 binary64) x))) #s(literal 3 binary64)) (pow.f64 (/.f64 (/.f64 #s(literal 1/81 binary64) (*.f64 x x)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/9 binary64) x))) #s(literal 3 binary64))) (+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/9 binary64) x))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/9 binary64) x)))) (+.f64 (*.f64 (/.f64 (/.f64 #s(literal 1/81 binary64) (*.f64 x x)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/9 binary64) x))) (/.f64 (/.f64 #s(literal 1/81 binary64) (*.f64 x x)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/9 binary64) x)))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/9 binary64) x))) (/.f64 (/.f64 #s(literal 1/81 binary64) (*.f64 x x)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/9 binary64) x)))))))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64))) #s(literal -1 binary64))
(*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/729 binary64) (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)) (/.f64 x #s(literal 1/9 binary64))))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/81 binary64) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/9 binary64) x))))
(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 (neg.f64 (/.f64 x #s(literal 1/9 binary64)))))
(/.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) (neg.f64 (/.f64 x #s(literal 1/9 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))))
(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 -1/9 binary64) (/.f64 #s(literal -1 binary64) x))
(*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/9 binary64))

simplify222.0ms (1.8%)

Algorithm
egg-herbie
Rules
4994×*-lowering-*.f32
4994×*-lowering-*.f64
2304×+-lowering-+.f64
2304×+-lowering-+.f32
1614×fnmadd-define
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
0971324
12851280
29611257
331081241
082941241
Stop Event
iter limit
node limit
Counts
192 → 192
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) (- y 1)))
(* -1 (* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) (- y 1))))))
(* -1 (* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) (- y 1))))))
(* -1 (* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) (- 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) (- y 1)))
(* -1 (* x (+ (* 1/9 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (- y 1)))))
(* -1 (* x (+ (* 1/9 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (- y 1)))))
(* -1 (* x (+ (* 1/9 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (- 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))
(* -1 (sqrt x))
(* -1 (sqrt x))
(* -1 (sqrt x))
(sqrt (/ 1 x))
(sqrt (/ 1 x))
(sqrt (/ 1 x))
(sqrt (/ 1 x))
(sqrt (/ 1 x))
(sqrt (/ 1 x))
(sqrt (/ 1 x))
(sqrt (/ 1 x))
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2))
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2))
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2))
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2))
(* 1/3 (sqrt (/ 1 x)))
(* 1/3 (sqrt (/ 1 x)))
(* 1/3 (sqrt (/ 1 x)))
(* 1/3 (sqrt (/ 1 x)))
(* 1/3 (sqrt (/ 1 x)))
(* 1/3 (sqrt (/ 1 x)))
(* 1/3 (sqrt (/ 1 x)))
(* 1/3 (sqrt (/ 1 x)))
(* 1/3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))
(* 1/3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))
(* 1/3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))
(* 1/3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))
(* 1/3 (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)))
(* 3 (sqrt x))
(* 3 (sqrt x))
(* 3 (sqrt x))
(* 3 (sqrt x))
(* 3 (sqrt x))
(* 3 (sqrt x))
(* 3 (sqrt x))
(* 3 (sqrt x))
(* -3 (* (sqrt x) (pow (sqrt -1) 2)))
(* -3 (* (sqrt x) (pow (sqrt -1) 2)))
(* -3 (* (sqrt x) (pow (sqrt -1) 2)))
(* -3 (* (sqrt x) (pow (sqrt -1) 2)))
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* 1/3 (sqrt (/ 1 x)))
(/ (+ (* -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))))))
(/ 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)
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 #s(literal -3 binary64) (*.f64 #s(literal 3 binary64) y)))) 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 #s(literal -3 binary64) (*.f64 #s(literal 3 binary64) y)))) 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 #s(literal -3 binary64) (*.f64 #s(literal 3 binary64) y)))) x)
(* 3 (* (sqrt x) (- y 1)))
(*.f64 (sqrt.f64 x) (+.f64 #s(literal -3 binary64) (*.f64 #s(literal 3 binary64) y)))
(* 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 #s(literal -3 binary64) (*.f64 #s(literal 3 binary64) y)))))
(* 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 #s(literal -3 binary64) (*.f64 #s(literal 3 binary64) y)))))
(* 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 #s(literal -3 binary64) (*.f64 #s(literal 3 binary64) y)))))
(* -3 (* (sqrt x) (- y 1)))
(*.f64 (sqrt.f64 x) (*.f64 (+.f64 y #s(literal -1 binary64)) #s(literal -3 binary64)))
(* -1 (* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) (- y 1))))))
(*.f64 x (+.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 y #s(literal -1 binary64)) #s(literal -3 binary64)))))
(* -1 (* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) (- y 1))))))
(*.f64 x (+.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 y #s(literal -1 binary64)) #s(literal -3 binary64)))))
(* -1 (* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) (- y 1))))))
(*.f64 x (+.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 y #s(literal -1 binary64)) #s(literal -3 binary64)))))
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(* -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 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -3 binary64))))
(* -1 (* x (+ (* -3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))))))
(*.f64 x (+.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)) #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 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -3 binary64))))
(/ 1/9 x)
(/.f64 #s(literal 1/9 binary64) x)
(/ (+ 1/9 (* -1 x)) x)
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/9 binary64) x))
(/ (+ 1/9 (* -1 x)) x)
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/9 binary64) x))
(/ (+ 1/9 (* -1 x)) x)
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/9 binary64) x))
-1
#s(literal -1 binary64)
(- (* 1/9 (/ 1 x)) 1)
(+.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))
(- (* 1/9 (/ 1 x)) 1)
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/9 binary64) x))
-1
#s(literal -1 binary64)
(- (* 1/9 (/ 1 x)) 1)
(+.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))
(- (* 1/9 (/ 1 x)) 1)
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/9 binary64) x))
(/ 1/9 x)
(/.f64 #s(literal 1/9 binary64) x)
(/ 1/9 x)
(/.f64 #s(literal 1/9 binary64) x)
(/ 1/9 x)
(/.f64 #s(literal 1/9 binary64) x)
(/ 1/9 x)
(/.f64 #s(literal 1/9 binary64) x)
(/ 1/9 x)
(/.f64 #s(literal 1/9 binary64) x)
(/ 1/9 x)
(/.f64 #s(literal 1/9 binary64) x)
(/ 1/9 x)
(/.f64 #s(literal 1/9 binary64) x)
(/ 1/9 x)
(/.f64 #s(literal 1/9 binary64) x)
(/ 1/9 x)
(/.f64 #s(literal 1/9 binary64) x)
(/ 1/9 x)
(/.f64 #s(literal 1/9 binary64) x)
(/ 1/9 x)
(/.f64 #s(literal 1/9 binary64) x)
(/ 1/9 x)
(/.f64 #s(literal 1/9 binary64) x)

eval168.0ms (1.3%)

Compiler

Compiled 21593 to 2520 computations (88.3% saved)

prune227.0ms (1.8%)

Pruning

23 alts after pruning (18 fresh and 5 done)

PrunedKeptTotal
New122561231
Fresh101222
Picked235
Done022
Total1237231260
Accuracy
100.0%
Counts
1260 → 23
Alt Table
Click to see full alt table
StatusAccuracyProgram
35.5%
(/.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 3 binary64))
62.4%
(/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64)) (pow.f64 x #s(literal -1/2 binary64)))
99.4%
(/.f64 (+.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal -1 binary64)) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)))
38.7%
(/.f64 y (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)))
35.4%
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 x) #s(literal 1/3 binary64)))
35.4%
(/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal 3 binary64)))
35.4%
(/.f64 #s(literal 1/3 binary64) (sqrt.f64 x))
99.4%
(*.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 3 binary64))
38.7%
(*.f64 (/.f64 x (*.f64 (sqrt.f64 x) #s(literal 1/3 binary64))) y)
35.4%
(*.f64 (/.f64 #s(literal 1/3 binary64) x) (sqrt.f64 x))
62.3%
(*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/9 binary64) x)) (*.f64 (sqrt.f64 x) #s(literal 3 binary64)))
62.3%
(*.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) x) (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64)))
2.3%
(*.f64 (*.f64 (sqrt.f64 x) (-.f64 #s(literal 1 binary64) y)) #s(literal 3 binary64))
64.5%
(*.f64 (*.f64 (sqrt.f64 x) (+.f64 y #s(literal -1 binary64))) #s(literal 3 binary64))
64.5%
(*.f64 (*.f64 (sqrt.f64 x) y) (+.f64 #s(literal 3 binary64) (/.f64 #s(literal -3 binary64) y)))
38.7%
(*.f64 (*.f64 (sqrt.f64 x) y) #s(literal 3 binary64))
38.7%
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) y)
14.5%
(*.f64 (sqrt.f64 x) (/.f64 (*.f64 x (*.f64 (*.f64 y y) #s(literal 27 binary64))) (*.f64 (+.f64 (*.f64 #s(literal 3 binary64) y) #s(literal 3 binary64)) (/.f64 x #s(literal 1/3 binary64)))))
62.3%
(*.f64 (sqrt.f64 x) (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64)))
72.3%
(*.f64 (sqrt.f64 x) (+.f64 (*.f64 #s(literal 3 binary64) y) (/.f64 #s(literal 1/3 binary64) x)))
64.5%
(*.f64 (sqrt.f64 x) (+.f64 (*.f64 #s(literal 3 binary64) y) #s(literal -3 binary64)))
28.3%
(*.f64 (sqrt.f64 x) #s(literal -3 binary64))
58.9%
(*.f64 y (*.f64 (sqrt.f64 x) (+.f64 #s(literal 3 binary64) (/.f64 #s(literal -3 binary64) y))))
Compiler

Compiled 1148 to 399 computations (65.2% saved)

regimes69.0ms (0.6%)

Counts
66 → 1
Calls
Call 1
Inputs
(*.f64 (sqrt.f64 x) #s(literal -3 binary64))
(/.f64 #s(literal 1/3 binary64) (sqrt.f64 x))
(*.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 #s(literal 3 binary64) (*.f64 (sqrt.f64 x) y))
(*.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) (sqrt.f64 x)) y)
(*.f64 (*.f64 y #s(literal 3 binary64)) (sqrt.f64 x))
(*.f64 (*.f64 (sqrt.f64 x) y) #s(literal 3 binary64))
(*.f64 (/.f64 #s(literal 1/3 binary64) x) (sqrt.f64 x))
(*.f64 (/.f64 (sqrt.f64 x) #s(literal 1/3 binary64)) y)
(/.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 1/3 binary64)))
(/.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 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1/9 binary64) x))
(*.f64 (*.f64 (sqrt.f64 x) #s(literal 1/3 binary64)) (/.f64 #s(literal 1 binary64) x))
(*.f64 (*.f64 (sqrt.f64 x) (+.f64 y #s(literal -1 binary64))) #s(literal 3 binary64))
(*.f64 (*.f64 (sqrt.f64 x) (-.f64 #s(literal 1 binary64) y)) #s(literal 3 binary64))
(*.f64 (/.f64 x (*.f64 (sqrt.f64 x) #s(literal 1/3 binary64))) y)
(*.f64 (/.f64 (sqrt.f64 x) (/.f64 x #s(literal 1/9 binary64))) #s(literal 3 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 (sqrt.f64 x) #s(literal 1/3 binary64))))
(/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64)) (pow.f64 x #s(literal -1/2 binary64)))
(*.f64 y (*.f64 (sqrt.f64 x) (+.f64 #s(literal 3 binary64) (/.f64 #s(literal -3 binary64) y))))
(*.f64 (sqrt.f64 x) (+.f64 (*.f64 #s(literal 3 binary64) y) (/.f64 #s(literal 1/3 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 (sqrt.f64 x) y) (+.f64 #s(literal 3 binary64) (/.f64 #s(literal -3 binary64) y)))
(*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/9 binary64) x)) (*.f64 (sqrt.f64 x) #s(literal 3 binary64)))
(*.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) x) (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 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 (sqrt.f64 x) (/.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/9 binary64) (*.f64 x #s(literal -27 binary64)))) x))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/9 binary64) (*.f64 x #s(literal -27 binary64)))))
(*.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 (sqrt.f64 x) (+.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal -1 binary64))) #s(literal 3 binary64))
(*.f64 (*.f64 (+.f64 y (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64))) #s(literal 3 binary64)) (sqrt.f64 x))
(*.f64 (*.f64 (+.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal -1 binary64)) #s(literal 3 binary64)) (sqrt.f64 x))
(*.f64 (/.f64 (sqrt.f64 x) #s(literal 1/3 binary64)) (+.f64 (+.f64 y (/.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 #s(literal 1/3 binary64) (sqrt.f64 x)))
(*.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 3 binary64))
(*.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 (/.f64 #s(literal 1 binary64) 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 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 9 binary64))) #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 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1/2 binary64))) (+.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal -1 binary64))) #s(literal 3 binary64))
(*.f64 (sqrt.f64 x) (/.f64 (+.f64 #s(literal -9 binary64) (*.f64 y (*.f64 y #s(literal 9 binary64)))) (+.f64 #s(literal 3 binary64) (*.f64 #s(literal 3 binary64) y))))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1/2 binary64))) (+.f64 (*.f64 #s(literal 3 binary64) y) (+.f64 #s(literal -3 binary64) (*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/3 binary64)))))
(*.f64 (sqrt.f64 x) (/.f64 (*.f64 x (*.f64 (*.f64 y y) #s(literal 27 binary64))) (*.f64 (+.f64 (*.f64 #s(literal 3 binary64) y) #s(literal 3 binary64)) (/.f64 x #s(literal 1/3 binary64)))))
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (*.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))) #s(literal 1 binary64)))
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (/.f64 (-.f64 #s(literal 1 binary64) (*.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 y (/.f64 #s(literal 1/9 binary64) x)))))
(*.f64 (sqrt.f64 x) (/.f64 (+.f64 (*.f64 (+.f64 (*.f64 #s(literal 9 binary64) (*.f64 y y)) #s(literal -9 binary64)) x) (*.f64 (+.f64 (*.f64 #s(literal 3 binary64) y) #s(literal 3 binary64)) #s(literal 1/3 binary64))) (*.f64 (+.f64 (*.f64 #s(literal 3 binary64) y) #s(literal 3 binary64)) x)))
(*.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 (*.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 (sqrt.f64 x) (/.f64 (+.f64 (*.f64 (+.f64 (*.f64 #s(literal 9 binary64) (*.f64 y y)) #s(literal -9 binary64)) (/.f64 x #s(literal 1/3 binary64))) (*.f64 (+.f64 (*.f64 #s(literal 3 binary64) y) #s(literal 3 binary64)) #s(literal 1 binary64))) (*.f64 (+.f64 (*.f64 #s(literal 3 binary64) y) #s(literal 3 binary64)) (/.f64 x #s(literal 1/3 binary64)))))
(*.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 1 binary64) (+.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 (*.f64 (+.f64 (*.f64 (*.f64 y (*.f64 y y)) #s(literal 27 binary64)) #s(literal -27 binary64)) x) (*.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 1/3 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)))) 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 #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 (+.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)
Outputs
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64)))
Calls

3 calls:

25.0ms
y
22.0ms
x
18.0ms
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64)))
Results
AccuracySegmentsBranch
99.4%1x
99.4%1y
99.4%1(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64)))
Compiler

Compiled 22 to 16 computations (27.3% saved)

regimes36.0ms (0.3%)

Counts
47 → 1
Calls
Call 1
Inputs
(*.f64 (sqrt.f64 x) #s(literal -3 binary64))
(/.f64 #s(literal 1/3 binary64) (sqrt.f64 x))
(*.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 #s(literal 3 binary64) (*.f64 (sqrt.f64 x) y))
(*.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) (sqrt.f64 x)) y)
(*.f64 (*.f64 y #s(literal 3 binary64)) (sqrt.f64 x))
(*.f64 (*.f64 (sqrt.f64 x) y) #s(literal 3 binary64))
(*.f64 (/.f64 #s(literal 1/3 binary64) x) (sqrt.f64 x))
(*.f64 (/.f64 (sqrt.f64 x) #s(literal 1/3 binary64)) y)
(/.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 1/3 binary64)))
(/.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 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1/9 binary64) x))
(*.f64 (*.f64 (sqrt.f64 x) #s(literal 1/3 binary64)) (/.f64 #s(literal 1 binary64) x))
(*.f64 (*.f64 (sqrt.f64 x) (+.f64 y #s(literal -1 binary64))) #s(literal 3 binary64))
(*.f64 (*.f64 (sqrt.f64 x) (-.f64 #s(literal 1 binary64) y)) #s(literal 3 binary64))
(*.f64 (/.f64 x (*.f64 (sqrt.f64 x) #s(literal 1/3 binary64))) y)
(*.f64 (/.f64 (sqrt.f64 x) (/.f64 x #s(literal 1/9 binary64))) #s(literal 3 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 (sqrt.f64 x) #s(literal 1/3 binary64))))
(/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64)) (pow.f64 x #s(literal -1/2 binary64)))
(*.f64 y (*.f64 (sqrt.f64 x) (+.f64 #s(literal 3 binary64) (/.f64 #s(literal -3 binary64) y))))
(*.f64 (sqrt.f64 x) (+.f64 (*.f64 #s(literal 3 binary64) y) (/.f64 #s(literal 1/3 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 (sqrt.f64 x) y) (+.f64 #s(literal 3 binary64) (/.f64 #s(literal -3 binary64) y)))
(*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/9 binary64) x)) (*.f64 (sqrt.f64 x) #s(literal 3 binary64)))
(*.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) x) (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 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 (sqrt.f64 x) (/.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/9 binary64) (*.f64 x #s(literal -27 binary64)))) x))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/9 binary64) (*.f64 x #s(literal -27 binary64)))))
(*.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 (sqrt.f64 x) (+.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal -1 binary64))) #s(literal 3 binary64))
(*.f64 (*.f64 (+.f64 y (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64))) #s(literal 3 binary64)) (sqrt.f64 x))
(*.f64 (*.f64 (+.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal -1 binary64)) #s(literal 3 binary64)) (sqrt.f64 x))
(*.f64 (/.f64 (sqrt.f64 x) #s(literal 1/3 binary64)) (+.f64 (+.f64 y (/.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 #s(literal 1/3 binary64) (sqrt.f64 x)))
(*.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 3 binary64))
(*.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 (/.f64 #s(literal 1 binary64) x) #s(literal 1/3 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))))
Calls

2 calls:

17.0ms
y
14.0ms
x
Results
AccuracySegmentsBranch
99.4%1x
99.4%1y
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes25.0ms (0.2%)

Counts
35 → 2
Calls
Call 1
Inputs
(*.f64 (sqrt.f64 x) #s(literal -3 binary64))
(/.f64 #s(literal 1/3 binary64) (sqrt.f64 x))
(*.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 #s(literal 3 binary64) (*.f64 (sqrt.f64 x) y))
(*.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) (sqrt.f64 x)) y)
(*.f64 (*.f64 y #s(literal 3 binary64)) (sqrt.f64 x))
(*.f64 (*.f64 (sqrt.f64 x) y) #s(literal 3 binary64))
(*.f64 (/.f64 #s(literal 1/3 binary64) x) (sqrt.f64 x))
(*.f64 (/.f64 (sqrt.f64 x) #s(literal 1/3 binary64)) y)
(/.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 1/3 binary64)))
(/.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 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1/9 binary64) x))
(*.f64 (*.f64 (sqrt.f64 x) #s(literal 1/3 binary64)) (/.f64 #s(literal 1 binary64) x))
(*.f64 (*.f64 (sqrt.f64 x) (+.f64 y #s(literal -1 binary64))) #s(literal 3 binary64))
(*.f64 (*.f64 (sqrt.f64 x) (-.f64 #s(literal 1 binary64) y)) #s(literal 3 binary64))
(*.f64 (/.f64 x (*.f64 (sqrt.f64 x) #s(literal 1/3 binary64))) y)
(*.f64 (/.f64 (sqrt.f64 x) (/.f64 x #s(literal 1/9 binary64))) #s(literal 3 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 (sqrt.f64 x) #s(literal 1/3 binary64))))
(/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64)) (pow.f64 x #s(literal -1/2 binary64)))
(*.f64 y (*.f64 (sqrt.f64 x) (+.f64 #s(literal 3 binary64) (/.f64 #s(literal -3 binary64) y))))
(*.f64 (sqrt.f64 x) (+.f64 (*.f64 #s(literal 3 binary64) y) (/.f64 #s(literal 1/3 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 (sqrt.f64 x) y) (+.f64 #s(literal 3 binary64) (/.f64 #s(literal -3 binary64) y)))
(*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/9 binary64) x)) (*.f64 (sqrt.f64 x) #s(literal 3 binary64)))
(*.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) x) (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64)))
Outputs
(*.f64 (sqrt.f64 x) (+.f64 (*.f64 #s(literal 3 binary64) y) (/.f64 #s(literal 1/3 binary64) x)))
(*.f64 (*.f64 (sqrt.f64 x) (+.f64 y #s(literal -1 binary64))) #s(literal 3 binary64))
Calls

2 calls:

12.0ms
x
10.0ms
y
Results
AccuracySegmentsBranch
98.7%2x
98.9%3y
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes22.0ms (0.2%)

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 (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 #s(literal 3 binary64) (*.f64 (sqrt.f64 x) y))
(*.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) (sqrt.f64 x)) y)
(*.f64 (*.f64 y #s(literal 3 binary64)) (sqrt.f64 x))
(*.f64 (*.f64 (sqrt.f64 x) y) #s(literal 3 binary64))
(*.f64 (/.f64 #s(literal 1/3 binary64) x) (sqrt.f64 x))
(*.f64 (/.f64 (sqrt.f64 x) #s(literal 1/3 binary64)) y)
(/.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 1/3 binary64)))
(/.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 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1/9 binary64) x))
(*.f64 (*.f64 (sqrt.f64 x) #s(literal 1/3 binary64)) (/.f64 #s(literal 1 binary64) x))
(*.f64 (*.f64 (sqrt.f64 x) (+.f64 y #s(literal -1 binary64))) #s(literal 3 binary64))
(*.f64 (*.f64 (sqrt.f64 x) (-.f64 #s(literal 1 binary64) y)) #s(literal 3 binary64))
(*.f64 (/.f64 x (*.f64 (sqrt.f64 x) #s(literal 1/3 binary64))) y)
(*.f64 (/.f64 (sqrt.f64 x) (/.f64 x #s(literal 1/9 binary64))) #s(literal 3 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 (sqrt.f64 x) #s(literal 1/3 binary64))))
(/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64)) (pow.f64 x #s(literal -1/2 binary64)))
(*.f64 y (*.f64 (sqrt.f64 x) (+.f64 #s(literal 3 binary64) (/.f64 #s(literal -3 binary64) y))))
Outputs
(/.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 3 binary64))
(*.f64 (*.f64 (sqrt.f64 x) (+.f64 y #s(literal -1 binary64))) #s(literal 3 binary64))
Calls

2 calls:

11.0ms
x
9.0ms
y
Results
AccuracySegmentsBranch
88.3%3y
88.0%2x
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes88.0ms (0.7%)

Counts
23 → 2
Calls
Call 1
Inputs
(*.f64 (sqrt.f64 x) #s(literal -3 binary64))
(/.f64 #s(literal 1/3 binary64) (sqrt.f64 x))
(*.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 #s(literal 3 binary64) (*.f64 (sqrt.f64 x) y))
(*.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) (sqrt.f64 x)) y)
(*.f64 (*.f64 y #s(literal 3 binary64)) (sqrt.f64 x))
(*.f64 (*.f64 (sqrt.f64 x) y) #s(literal 3 binary64))
(*.f64 (/.f64 #s(literal 1/3 binary64) x) (sqrt.f64 x))
(*.f64 (/.f64 (sqrt.f64 x) #s(literal 1/3 binary64)) y)
(/.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 1/3 binary64)))
(/.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 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1/9 binary64) x))
(*.f64 (*.f64 (sqrt.f64 x) #s(literal 1/3 binary64)) (/.f64 #s(literal 1 binary64) x))
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:

87.0ms
x
Results
AccuracySegmentsBranch
88.0%2x
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes14.0ms (0.1%)

Counts
19 → 5
Calls
Call 1
Inputs
(*.f64 (sqrt.f64 x) #s(literal -3 binary64))
(/.f64 #s(literal 1/3 binary64) (sqrt.f64 x))
(*.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 #s(literal 3 binary64) (*.f64 (sqrt.f64 x) y))
(*.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) (sqrt.f64 x)) y)
(*.f64 (*.f64 y #s(literal 3 binary64)) (sqrt.f64 x))
(*.f64 (*.f64 (sqrt.f64 x) y) #s(literal 3 binary64))
(*.f64 (/.f64 #s(literal 1/3 binary64) x) (sqrt.f64 x))
(*.f64 (/.f64 (sqrt.f64 x) #s(literal 1/3 binary64)) y)
(/.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 1/3 binary64)))
(/.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 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) y)
(*.f64 (sqrt.f64 x) #s(literal -3 binary64))
(*.f64 #s(literal 3 binary64) (*.f64 (sqrt.f64 x) y))
(*.f64 (sqrt.f64 x) #s(literal -3 binary64))
Calls

2 calls:

6.0ms
y
6.0ms
x
Results
AccuracySegmentsBranch
67.8%5y
71.8%5x
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes6.0ms (0%)

Counts
9 → 5
Calls
Call 1
Inputs
(*.f64 (sqrt.f64 x) #s(literal -3 binary64))
(/.f64 #s(literal 1/3 binary64) (sqrt.f64 x))
(*.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 #s(literal 3 binary64) (*.f64 (sqrt.f64 x) y))
(*.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))
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 #s(literal 3 binary64) (*.f64 (sqrt.f64 x) y))
(*.f64 (sqrt.f64 x) #s(literal -3 binary64))
Calls

1 calls:

4.0ms
x
Results
AccuracySegmentsBranch
71.8%5x
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes3.0ms (0%)

Counts
6 → 5
Calls
Call 1
Inputs
(*.f64 (sqrt.f64 x) #s(literal -3 binary64))
(/.f64 #s(literal 1/3 binary64) (sqrt.f64 x))
(*.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 #s(literal 3 binary64) (*.f64 (sqrt.f64 x) y))
Outputs
(/.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 3 binary64))
(*.f64 #s(literal 3 binary64) (*.f64 (sqrt.f64 x) y))
(*.f64 (sqrt.f64 x) #s(literal -3 binary64))
(*.f64 #s(literal 3 binary64) (*.f64 (sqrt.f64 x) y))
(*.f64 (sqrt.f64 x) #s(literal -3 binary64))
Calls

1 calls:

3.0ms
x
Results
AccuracySegmentsBranch
71.8%5x
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes5.0ms (0%)

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

2.0ms
y
2.0ms
x
Results
AccuracySegmentsBranch
42.2%3y
61.7%2x
Compiler

Compiled 6 to 4 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 (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
61.7%2x
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes2.0ms (0%)

Counts
2 → 2
Calls
Call 1
Inputs
(*.f64 (sqrt.f64 x) #s(literal -3 binary64))
(/.f64 #s(literal 1/3 binary64) (sqrt.f64 x))
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
61.7%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
28.3%1y
28.3%1x
Compiler

Compiled 6 to 4 computations (33.3% saved)

bsearch19.0ms (0.2%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
17.0ms
5.2474630871563985e-6
0.004302358781171705
Results
13.0ms128×0valid
Compiler

Compiled 213 to 168 computations (21.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 8.0ms
ival-mult: 3.0ms (36.9% of total)
ival-sqrt: 3.0ms (36.9% of total)
ival-div: 1.0ms (12.3% of total)
ival-sub: 1.0ms (12.3% of total)
ival-add: 1.0ms (12.3% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch32.0ms (0.3%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
7.0ms
1.6734411365660498e-49
3.1723329337794592e-49
Results
5.0ms64×0valid
Compiler

Compiled 97 to 80 computations (17.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 3.0ms
ival-mult: 1.0ms (33.4% of total)
ival-sqrt: 1.0ms (33.4% of total)
ival-div: 0.0ms (0% of total)
ival-sub: 0.0ms (0% of total)
ival-add: 0.0ms (0% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch9.0ms (0.1%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
8.0ms
1.6734411365660498e-49
3.1723329337794592e-49
Results
5.0ms64×0valid
Compiler

Compiled 97 to 80 computations (17.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 3.0ms
ival-mult: 1.0ms (32.8% of total)
ival-sqrt: 1.0ms (32.8% of total)
ival-div: 0.0ms (0% of total)
ival-sub: 0.0ms (0% of total)
ival-add: 0.0ms (0% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch63.0ms (0.5%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
narrow-enough
narrow-enough
Steps
TimeLeftRight
21.0ms
5.953970777352757e+189
6.308517466108885e+205
11.0ms
3.1694466688623696e+106
1.317328284162922e+107
17.0ms
4.179067908638892e+29
9.492973317579065e+32
8.0ms
1.6734411365660498e-49
3.1723329337794592e-49
Results
42.0ms448×0valid
Compiler

Compiled 473 to 384 computations (18.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 25.0ms
ival-mult: 10.0ms (40.7% of total)
ival-div: 5.0ms (20.3% of total)
ival-sqrt: 4.0ms (16.3% of total)
ival-sub: 2.0ms (8.1% of total)
ival-add: 2.0ms (8.1% of total)
const: 1.0ms (4.1% of total)
backward-pass: 0.0ms (0% of total)

bsearch285.0ms (2.3%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
narrow-enough
narrow-enough
Steps
TimeLeftRight
243.0ms
5.953970777352757e+189
6.308517466108885e+205
11.0ms
3.1694466688623696e+106
1.317328284162922e+107
17.0ms
4.179067908638892e+29
9.492973317579065e+32
8.0ms
1.6734411365660498e-49
3.1723329337794592e-49
Results
264.0ms448×0valid
Compiler

Compiled 473 to 384 computations (18.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 24.0ms
ival-mult: 9.0ms (37.8% of total)
ival-sqrt: 6.0ms (25.2% of total)
ival-div: 3.0ms (12.6% of total)
ival-sub: 2.0ms (8.4% of total)
ival-add: 2.0ms (8.4% of total)
const: 1.0ms (4.2% of total)
backward-pass: 0.0ms (0% of total)

bsearch88.0ms (0.7%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
narrow-enough
narrow-enough
Steps
TimeLeftRight
33.0ms
5.953970777352757e+189
6.308517466108885e+205
27.0ms
3.1694466688623696e+106
1.317328284162922e+107
15.0ms
4.179067908638892e+29
9.492973317579065e+32
8.0ms
1.6734411365660498e-49
3.1723329337794592e-49
Results
67.0ms448×0valid
Compiler

Compiled 473 to 384 computations (18.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 22.0ms
ival-mult: 9.0ms (40.9% of total)
ival-sqrt: 4.0ms (18.2% of total)
ival-div: 3.0ms (13.6% of total)
ival-sub: 2.0ms (9.1% of total)
ival-add: 2.0ms (9.1% of total)
const: 1.0ms (4.5% of total)
backward-pass: 0.0ms (0% of total)

bsearch18.0ms (0.1%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
16.0ms
5.2474630871563985e-6
0.004302358781171705
Results
11.0ms128×0valid
Compiler

Compiled 141 to 120 computations (14.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 7.0ms
ival-mult: 3.0ms (45.5% of total)
ival-div: 1.0ms (15.2% of total)
ival-sub: 1.0ms (15.2% of total)
ival-add: 1.0ms (15.2% of total)
ival-sqrt: 1.0ms (15.2% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch33.0ms (0.3%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
31.0ms
5.2474630871563985e-6
0.004302358781171705
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: 3.0ms (46.6% of total)
ival-div: 1.0ms (15.5% of total)
ival-sub: 1.0ms (15.5% of total)
ival-add: 1.0ms (15.5% of total)
ival-sqrt: 1.0ms (15.5% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch17.0ms (0.1%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
15.0ms
5.2474630871563985e-6
0.004302358781171705
Results
11.0ms128×0valid
Compiler

Compiled 133 to 112 computations (15.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 6.0ms
ival-mult: 3.0ms (48.6% of total)
ival-div: 1.0ms (16.2% of total)
ival-sub: 1.0ms (16.2% of total)
ival-add: 1.0ms (16.2% of total)
ival-sqrt: 1.0ms (16.2% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

simplify16.0ms (0.1%)

Algorithm
egg-herbie
Rules
32×*-commutative_binary64
16×+-commutative_binary64
if-if-or-not_binary32
not-or_bool
sub-neg_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
079238
1114233
2120233
3128232
4129232
5130232
Stop Event
saturated
Calls
Call 1
Inputs
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64)))
(*.f64 (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 4842270319348757/1152921504606846976 binary64)) (*.f64 (sqrt.f64 x) (+.f64 (*.f64 #s(literal 3 binary64) y) (/.f64 #s(literal 1/3 binary64) x))) (*.f64 (*.f64 (sqrt.f64 x) (+.f64 y #s(literal -1 binary64))) #s(literal 3 binary64)))
(if (<=.f64 x #s(literal 4080851302156591/13164036458569648337239753460458804039861886925068638906788872192 binary64)) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 3 binary64)) (*.f64 (*.f64 (sqrt.f64 x) (+.f64 y #s(literal -1 binary64))) #s(literal 3 binary64)))
(if (<=.f64 x #s(literal 4080851302156591/13164036458569648337239753460458804039861886925068638906788872192 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 4080851302156591/13164036458569648337239753460458804039861886925068638906788872192 binary64)) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 3 binary64)) (if (<=.f64 x #s(literal 79999999999999997087170359721984 binary64)) (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) y) (if (<=.f64 x #s(literal 34499999999999998761114618118565922383727432753391239961174781561438176121260136713012126845344643763142656 binary64)) (*.f64 (sqrt.f64 x) #s(literal -3 binary64)) (if (<=.f64 x #s(literal 10500000000000000731859241535494776209780977591593872838173782757833257308634656049638150707503401159412783905336633456001661649303316872465812845346122869059521335099481202369170639385593397641216 binary64)) (*.f64 #s(literal 3 binary64) (*.f64 (sqrt.f64 x) y)) (*.f64 (sqrt.f64 x) #s(literal -3 binary64))))))
(if (<=.f64 x #s(literal 5265614583427859/26328072917139296674479506920917608079723773850137277813577744384 binary64)) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 3 binary64)) (if (<=.f64 x #s(literal 900000000000000046043660025856 binary64)) (*.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) y)) (if (<=.f64 x #s(literal 46000000000000003780248761050050793227491746096196749418815425191080903191388047229032968496024074839916544 binary64)) (*.f64 (sqrt.f64 x) #s(literal -3 binary64)) (if (<=.f64 x #s(literal 31000000000000001740361913961341043555040844824515513769558954115574918094458441187876097995708968661232860272956237031879128542692520250834078278374777511930108470146358227684596227201966892165826714009600 binary64)) (*.f64 #s(literal 3 binary64) (*.f64 (sqrt.f64 x) y)) (*.f64 (sqrt.f64 x) #s(literal -3 binary64))))))
(if (<=.f64 x #s(literal 4080851302156591/13164036458569648337239753460458804039861886925068638906788872192 binary64)) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 3 binary64)) (if (<=.f64 x #s(literal 4100000000000000053379464167424 binary64)) (*.f64 #s(literal 3 binary64) (*.f64 (sqrt.f64 x) y)) (if (<=.f64 x #s(literal 56999999999999997244611638166505059149307692928427905657082371739441769022554852185191757478974035370967040 binary64)) (*.f64 (sqrt.f64 x) #s(literal -3 binary64)) (if (<=.f64 x #s(literal 419999999999999994086477637308970760206020419562708352941407260897465380382212086208790187518674964906995581142025162676148387508301982631921632694353060151500154810692836028488003882578935144796651520 binary64)) (*.f64 #s(literal 3 binary64) (*.f64 (sqrt.f64 x) y)) (*.f64 (sqrt.f64 x) #s(literal -3 binary64))))))
(if (<=.f64 x #s(literal 4842270319348757/1152921504606846976 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 4842270319348757/1152921504606846976 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 4842270319348757/1152921504606846976 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 (*.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 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (+.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal -1 binary64)))
(*.f64 (sqrt.f64 x) (+.f64 (*.f64 #s(literal 3 binary64) y) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))))
(if (<=.f64 x #s(literal 4842270319348757/1152921504606846976 binary64)) (*.f64 (sqrt.f64 x) (+.f64 (*.f64 #s(literal 3 binary64) y) (/.f64 #s(literal 1/3 binary64) x))) (*.f64 (*.f64 (sqrt.f64 x) (+.f64 y #s(literal -1 binary64))) #s(literal 3 binary64)))
(if (<=.f64 x #s(literal 4842270319348757/1152921504606846976 binary64)) (*.f64 (sqrt.f64 x) (+.f64 (*.f64 #s(literal 3 binary64) y) (/.f64 #s(literal 1/3 binary64) x))) (*.f64 #s(literal 3 binary64) (*.f64 (sqrt.f64 x) (+.f64 y #s(literal -1 binary64)))))
(if (<=.f64 x #s(literal 4080851302156591/13164036458569648337239753460458804039861886925068638906788872192 binary64)) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 3 binary64)) (*.f64 (*.f64 (sqrt.f64 x) (+.f64 y #s(literal -1 binary64))) #s(literal 3 binary64)))
(if (<=.f64 x #s(literal 4080851302156591/13164036458569648337239753460458804039861886925068638906788872192 binary64)) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 3 binary64)) (*.f64 #s(literal 3 binary64) (*.f64 (sqrt.f64 x) (+.f64 y #s(literal -1 binary64)))))
(if (<=.f64 x #s(literal 4080851302156591/13164036458569648337239753460458804039861886925068638906788872192 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 4080851302156591/13164036458569648337239753460458804039861886925068638906788872192 binary64)) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 3 binary64)) (if (<=.f64 x #s(literal 79999999999999997087170359721984 binary64)) (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) y) (if (<=.f64 x #s(literal 34499999999999998761114618118565922383727432753391239961174781561438176121260136713012126845344643763142656 binary64)) (*.f64 (sqrt.f64 x) #s(literal -3 binary64)) (if (<=.f64 x #s(literal 10500000000000000731859241535494776209780977591593872838173782757833257308634656049638150707503401159412783905336633456001661649303316872465812845346122869059521335099481202369170639385593397641216 binary64)) (*.f64 #s(literal 3 binary64) (*.f64 (sqrt.f64 x) y)) (*.f64 (sqrt.f64 x) #s(literal -3 binary64))))))
(if (<=.f64 x #s(literal 5265614583427859/26328072917139296674479506920917608079723773850137277813577744384 binary64)) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 3 binary64)) (if (<=.f64 x #s(literal 900000000000000046043660025856 binary64)) (*.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) y)) (if (<=.f64 x #s(literal 46000000000000003780248761050050793227491746096196749418815425191080903191388047229032968496024074839916544 binary64)) (*.f64 (sqrt.f64 x) #s(literal -3 binary64)) (if (<=.f64 x #s(literal 31000000000000001740361913961341043555040844824515513769558954115574918094458441187876097995708968661232860272956237031879128542692520250834078278374777511930108470146358227684596227201966892165826714009600 binary64)) (*.f64 #s(literal 3 binary64) (*.f64 (sqrt.f64 x) y)) (*.f64 (sqrt.f64 x) #s(literal -3 binary64))))))
(if (<=.f64 x #s(literal 4080851302156591/13164036458569648337239753460458804039861886925068638906788872192 binary64)) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 3 binary64)) (if (<=.f64 x #s(literal 4100000000000000053379464167424 binary64)) (*.f64 #s(literal 3 binary64) (*.f64 (sqrt.f64 x) y)) (if (<=.f64 x #s(literal 56999999999999997244611638166505059149307692928427905657082371739441769022554852185191757478974035370967040 binary64)) (*.f64 (sqrt.f64 x) #s(literal -3 binary64)) (if (<=.f64 x #s(literal 419999999999999994086477637308970760206020419562708352941407260897465380382212086208790187518674964906995581142025162676148387508301982631921632694353060151500154810692836028488003882578935144796651520 binary64)) (*.f64 #s(literal 3 binary64) (*.f64 (sqrt.f64 x) y)) (*.f64 (sqrt.f64 x) #s(literal -3 binary64))))))
(if (<=.f64 x #s(literal 4842270319348757/1152921504606846976 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 4842270319348757/1152921504606846976 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 4842270319348757/1152921504606846976 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 4842270319348757/1152921504606846976 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))

soundness3.3s (26.6%)

Rules
6166×*-lowering-*.f32
6166×*-lowering-*.f64
4994×*-lowering-*.f32
4994×*-lowering-*.f64
4652×/-lowering-/.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
041166
1264130
22549128
011550128
01962
111256
2107456
0827656
02575
114872
2131272
0815272
04224004
114703397
257493359
081083359
01301241
13861181
212631154
344371154
086151154
01862396
15742332
219432285
357892285
085582285
01213
12811
27211
320011
442611
561311
6126611
7288511
8603211
9766011
10784711
11787711
12787811
13787811
0822211
0971324
12851280
29611257
331081241
082941241
Stop Event
fuel
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
Compiler

Compiled 772 to 510 computations (33.9% saved)

preprocess87.0ms (0.7%)

Compiler

Compiled 568 to 208 computations (63.4% saved)

end0.0ms (0%)

Profiling

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