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

Time bar (total: 11.9s)

analyze17.0ms (0.1%)

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

Compiled 17 to 13 computations (23.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 7.0ms
ival-mult: 2.0ms (29.6% of total)
ival-div: 1.0ms (14.8% of total)
ival-sub: 1.0ms (14.8% of total)
ival-add: 1.0ms (14.8% of total)
ival-sqrt: 1.0ms (14.8% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

sample1.1s (9.4%)

Results
769.0ms8256×0valid
67.0ms247×0invalid
Precisions
Click to see histograms. Total time spent on operations: 582.0ms
ival-mult: 259.0ms (44.5% of total)
ival-sub: 92.0ms (15.8% of total)
ival-div: 86.0ms (14.8% of total)
ival-sqrt: 78.0ms (13.4% of total)
ival-add: 45.0ms (7.7% of total)
const: 19.0ms (3.3% of total)
backward-pass: 3.0ms (0.5% of total)
Bogosity

preprocess325.0ms (2.7%)

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

Useful iterations: 1 (0.0ms)

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

explain158.0ms (1.3%)

FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
10-0-(/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))
00-0-x
00-0-y
00-0-(*.f64 x #s(literal 9 binary64))
00-0-(+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64))))
00-0-#s(literal 9 binary64)
00-0-(-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))
00-0-#s(literal 3 binary64)
00-0-#s(literal 1 binary64)
00-0-(sqrt.f64 x)
00-0-(*.f64 #s(literal 3 binary64) (sqrt.f64 x))
00-0-(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64)))
Results
104.0ms512×0valid
Compiler

Compiled 120 to 38 computations (68.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 38.0ms
ival-sub: 16.0ms (41.6% of total)
ival-mult: 10.0ms (26% of total)
ival-div: 4.0ms (10.4% of total)
ival-sqrt: 4.0ms (10.4% of total)
ival-add: 3.0ms (7.8% of total)
const: 1.0ms (2.6% of total)
backward-pass: 0.0ms (0% of total)

eval0.0ms (0%)

Compiler

Compiled 14 to 11 computations (21.4% saved)

prune1.0ms (0%)

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

Compiled 30 to 23 computations (23.3% saved)

simplify194.0ms (1.6%)

Algorithm
1×egg-herbie
Localize:

Found 8 expressions of interest:

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

Useful iterations: 1 (0.0ms)

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

localize116.0ms (1%)

Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64))))
✓accuracy99.6%
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64)))
✓accuracy99.5%
(*.f64 #s(literal 3 binary64) (sqrt.f64 x))
✓accuracy99.3%
(/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))
✓accuracy100.0%
(sqrt.f64 x)
✓accuracy99.9%
(+.f64 (*.f64 #s(literal 3 binary64) y) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)))
✓accuracy99.5%
(*.f64 (sqrt.f64 x) (+.f64 (*.f64 #s(literal 3 binary64) y) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))))
✓accuracy99.5%
(/.f64 #s(literal 1/3 binary64) x)
Results
82.0ms238×0valid
9.0ms15×1valid
2.0ms3×2valid
Compiler

Compiled 91 to 20 computations (78% saved)

Precisions
Click to see histograms. Total time spent on operations: 54.0ms
ival-add: 30.0ms (55.9% of total)
ival-mult: 9.0ms (16.8% of total)
...c/correct-round.rkt:119:19: 5.0ms (9.3% of total)
ival-div: 4.0ms (7.5% of total)
ival-sqrt: 2.0ms (3.7% of total)
const: 1.0ms (1.9% of total)
backward-pass: 1.0ms (1.9% of total)
ival-sub: 1.0ms (1.9% of total)

series34.0ms (0.3%)

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
20.0ms
y
@inf
(* 3 y)
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))))

rewrite449.0ms (3.8%)

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

Useful iterations: 1 (0.0ms)

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

simplify219.0ms (1.8%)

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

Useful iterations: 2 (0.0ms)

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

eval75.0ms (0.6%)

Compiler

Compiled 12903 to 1220 computations (90.5% saved)

prune129.0ms (1.1%)

Pruning

28 alts after pruning (27 fresh and 1 done)

PrunedKeptTotal
New49527522
Fresh000
Picked112
Done000
Total49628524
Accuracy
100.0%
Counts
524 → 28
Alt Table
Click to see full alt table
StatusAccuracyProgram
62.4%
(/.f64 (+.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (*.f64 (sqrt.f64 (*.f64 x (*.f64 x x))) (+.f64 (*.f64 #s(literal 3 binary64) y) #s(literal -3 binary64)))) x)
62.3%
(/.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)))
63.0%
(/.f64 (*.f64 (+.f64 (*.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) (+.f64 y (/.f64 #s(literal 1/9 binary64) x))) #s(literal -1 binary64)) (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) (+.f64 y (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 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)))))
62.2%
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (+.f64 (*.f64 #s(literal 3 binary64) y) #s(literal 3 binary64)) (/.f64 #s(literal -1/3 binary64) x)) (*.f64 (-.f64 (*.f64 #s(literal 9 binary64) (*.f64 y y)) (*.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)))) (sqrt.f64 x))))
62.9%
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 y (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64))) (*.f64 (+.f64 (*.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) (+.f64 y (/.f64 #s(literal 1/9 binary64) x))) #s(literal -1 binary64)) (*.f64 (sqrt.f64 x) #s(literal 3 binary64)))))
99.1%
(*.f64 (pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 3 binary64) y) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))))
54.4%
(*.f64 (pow.f64 (*.f64 x x) #s(literal 1/4 binary64)) (+.f64 (*.f64 #s(literal 3 binary64) y) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))))
▶65.2%
(*.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)))
62.2%
(*.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))))
▶99.5%
(*.f64 (*.f64 (sqrt.f64 x) (+.f64 y (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)))) #s(literal 3 binary64))
95.8%
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (/.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 x (+.f64 y #s(literal -1 binary64)))) x))
99.4%
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 y (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64))))))
▶33.9%
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1/9 binary64) x))
59.3%
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)))
99.5%
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 9 binary64))) #s(literal 1 binary64)))
✓99.5%
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64)))
65.2%
(*.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)))
66.6%
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 y #s(literal 1 binary64)))
41.7%
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) y)
67.8%
(*.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)))))
67.9%
(*.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)))
95.7%
(*.f64 (sqrt.f64 x) (/.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 x (+.f64 (*.f64 #s(literal 3 binary64) y) #s(literal -3 binary64)))) x))
34.0%
(*.f64 (sqrt.f64 x) (/.f64 #s(literal 1/3 binary64) x))
59.3%
(*.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 binary64) (/.f64 x #s(literal 1/3 binary64))))))
41.8%
(*.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) y))
▶34.0%
(*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
Compiler

Compiled 1058 to 730 computations (31% saved)

simplify259.0ms (2.2%)

Algorithm
1×egg-herbie
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(*.f64 (sqrt.f64 x) #s(literal 3 binary64))
✓cost-diff0
(/.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) (+.f64 y (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64))))
✓cost-diff128
(/.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))
✓cost-diff1024
(*.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)))
✓cost-diff0
(+.f64 (*.f64 #s(literal 3 binary64) y) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)))
✓cost-diff0
(sqrt.f64 x)
✓cost-diff128
(/.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 3 binary64) y) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))))
✓cost-diff128
(/.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 3 binary64) y) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)))))
✓cost-diff0
(/.f64 #s(literal 1/9 binary64) x)
✓cost-diff0
(sqrt.f64 x)
✓cost-diff0
(*.f64 #s(literal 3 binary64) (sqrt.f64 x))
✓cost-diff128
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1/9 binary64) x))
✓cost-diff0
(/.f64 #s(literal 1 binary64) x)
✓cost-diff0
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
✓cost-diff0
(*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
✓cost-diff0
(+.f64 y (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)))
✓cost-diff0
(sqrt.f64 x)
✓cost-diff0
(*.f64 (sqrt.f64 x) (+.f64 y (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64))))
✓cost-diff0
(*.f64 (*.f64 (sqrt.f64 x) (+.f64 y (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)))) #s(literal 3 binary64))
Rules
3774×*-lowering-*.f32
3774×*-lowering-*.f64
1498×fnmadd-define
1482×/-lowering-/.f32
1482×/-lowering-/.f64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
034203
191194
2275194
31096194
42760193
55759193
08072193
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(* (* (sqrt x) (+ y (+ (/ 1/9 x) -1))) 3)
(* (sqrt x) (+ y (+ (/ 1/9 x) -1)))
(sqrt x)
x
(+ y (+ (/ 1/9 x) -1))
y
(+ (/ 1/9 x) -1)
(/ 1/9 x)
1/9
-1
3
(* 1/3 (sqrt (/ 1 x)))
1/3
(sqrt (/ 1 x))
(/ 1 x)
1
x
(* (* 3 (sqrt x)) (/ 1/9 x))
(* 3 (sqrt x))
3
(sqrt x)
x
(/ 1/9 x)
1/9
(/ (sqrt x) (/ 1 (+ (* 3 y) (+ -3 (/ 1/3 x)))))
(sqrt x)
x
(/ 1 (+ (* 3 y) (+ -3 (/ 1/3 x))))
1
(+ (* 3 y) (+ -3 (/ 1/3 x)))
(* 3 y)
3
y
(+ -3 (/ 1/3 x))
-3
(/ 1/3 x)
1/3
(* (/ (* (sqrt x) 3) (+ y (+ (/ 1/9 x) 1))) (/ (+ (* (+ y (/ 1/9 x)) (+ y (/ 1/9 x))) -1) 1))
(/ (* (sqrt x) 3) (+ y (+ (/ 1/9 x) 1)))
(* (sqrt x) 3)
(sqrt x)
x
3
(+ y (+ (/ 1/9 x) 1))
y
(+ (/ 1/9 x) 1)
(/ 1/9 x)
1/9
1
(/ (+ (* (+ y (/ 1/9 x)) (+ y (/ 1/9 x))) -1) 1)
(+ (* (+ y (/ 1/9 x)) (+ y (/ 1/9 x))) -1)
(* (+ y (/ 1/9 x)) (+ y (/ 1/9 x)))
(+ y (/ 1/9 x))
-1
Outputs
(* (* (sqrt x) (+ y (+ (/ 1/9 x) -1))) 3)
(/.f64 (sqrt.f64 x) (/.f64 #s(literal 1/3 binary64) (+.f64 y (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)))))
(* (sqrt x) (+ y (+ (/ 1/9 x) -1)))
(*.f64 (sqrt.f64 x) (+.f64 y (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64))))
(sqrt x)
(sqrt.f64 x)
x
(+ y (+ (/ 1/9 x) -1))
(+.f64 y (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)))
y
(+ (/ 1/9 x) -1)
(+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64))
(/ 1/9 x)
(/.f64 #s(literal 1/9 binary64) x)
1/9
#s(literal 1/9 binary64)
-1
#s(literal -1 binary64)
3
#s(literal 3 binary64)
(* 1/3 (sqrt (/ 1 x)))
(*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
1/3
#s(literal 1/3 binary64)
(sqrt (/ 1 x))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
1
#s(literal 1 binary64)
x
(* (* 3 (sqrt x)) (/ 1/9 x))
(/.f64 (*.f64 (sqrt.f64 x) #s(literal 1/3 binary64)) x)
(* 3 (sqrt x))
(*.f64 (sqrt.f64 x) #s(literal 3 binary64))
3
#s(literal 3 binary64)
(sqrt x)
(sqrt.f64 x)
x
(/ 1/9 x)
(/.f64 #s(literal 1/9 binary64) x)
1/9
#s(literal 1/9 binary64)
(/ (sqrt x) (/ 1 (+ (* 3 y) (+ -3 (/ 1/3 x)))))
(/.f64 (sqrt.f64 x) (/.f64 #s(literal 1/3 binary64) (+.f64 y (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)))))
(sqrt x)
(sqrt.f64 x)
x
(/ 1 (+ (* 3 y) (+ -3 (/ 1/3 x))))
(/.f64 #s(literal 1/3 binary64) (+.f64 y (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64))))
1
#s(literal 1 binary64)
(+ (* 3 y) (+ -3 (/ 1/3 x)))
(+.f64 (*.f64 y #s(literal 3 binary64)) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)))
(* 3 y)
(*.f64 y #s(literal 3 binary64))
3
#s(literal 3 binary64)
y
(+ -3 (/ 1/3 x))
(+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))
-3
#s(literal -3 binary64)
(/ 1/3 x)
(/.f64 #s(literal 1/3 binary64) x)
1/3
#s(literal 1/3 binary64)
(* (/ (* (sqrt x) 3) (+ y (+ (/ 1/9 x) 1))) (/ (+ (* (+ y (/ 1/9 x)) (+ y (/ 1/9 x))) -1) 1))
(/.f64 (sqrt.f64 x) (/.f64 #s(literal 1/3 binary64) (+.f64 y (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)))))
(/ (* (sqrt x) 3) (+ y (+ (/ 1/9 x) 1)))
(/.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) (+.f64 y (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64))))
(* (sqrt x) 3)
(*.f64 (sqrt.f64 x) #s(literal 3 binary64))
(sqrt x)
(sqrt.f64 x)
x
3
#s(literal 3 binary64)
(+ y (+ (/ 1/9 x) 1))
(+.f64 y (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)))
y
(+ (/ 1/9 x) 1)
(+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64))
(/ 1/9 x)
(/.f64 #s(literal 1/9 binary64) x)
1/9
#s(literal 1/9 binary64)
1
#s(literal 1 binary64)
(/ (+ (* (+ y (/ 1/9 x)) (+ y (/ 1/9 x))) -1) 1)
(+.f64 #s(literal -1 binary64) (*.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) (+.f64 y (/.f64 #s(literal 1/9 binary64) x))))
(+ (* (+ y (/ 1/9 x)) (+ y (/ 1/9 x))) -1)
(+.f64 #s(literal -1 binary64) (*.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) (+.f64 y (/.f64 #s(literal 1/9 binary64) x))))
(* (+ y (/ 1/9 x)) (+ y (/ 1/9 x)))
(*.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) (+.f64 y (/.f64 #s(literal 1/9 binary64) x)))
(+ y (/ 1/9 x))
(+.f64 y (/.f64 #s(literal 1/9 binary64) x))
-1
#s(literal -1 binary64)

localize387.0ms (3.3%)

Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
✓accuracy99.7%
(/.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) (+.f64 y (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64))))
✓accuracy99.5%
(*.f64 (sqrt.f64 x) #s(literal 3 binary64))
✓accuracy99.4%
(/.f64 #s(literal 1/9 binary64) x)
✓accuracy66.0%
(*.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)))
✓accuracy99.9%
(+.f64 (*.f64 #s(literal 3 binary64) y) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)))
✓accuracy99.6%
(/.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 3 binary64) y) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))))
✓accuracy99.5%
(/.f64 #s(literal 1/3 binary64) x)
✓accuracy99.5%
(/.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 3 binary64) y) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)))))
✓accuracy100.0%
(sqrt.f64 x)
✓accuracy99.5%
(*.f64 #s(literal 3 binary64) (sqrt.f64 x))
✓accuracy99.4%
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1/9 binary64) x))
✓accuracy99.4%
(/.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))
✓accuracy99.3%
(*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
✓accuracy100.0%
(sqrt.f64 x)
✓accuracy99.6%
(*.f64 (sqrt.f64 x) (+.f64 y (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64))))
✓accuracy99.6%
(*.f64 (*.f64 (sqrt.f64 x) (+.f64 y (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)))) #s(literal 3 binary64))
✓accuracy99.4%
(/.f64 #s(literal 1/9 binary64) x)
Results
201.0ms213×0valid
21.0ms28×1valid
16.0ms15×2valid
Compiler

Compiled 247 to 35 computations (85.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 148.0ms
ival-sqrt: 66.0ms (44.6% of total)
ival-add: 34.0ms (23% of total)
ival-mult: 17.0ms (11.5% of total)
ival-div: 16.0ms (10.8% of total)
...c/correct-round.rkt:119:19: 9.0ms (6.1% of total)
backward-pass: 4.0ms (2.7% of total)
const: 1.0ms (0.7% of total)

series33.0ms (0.3%)

Counts
18 → 324
Calls
Call 1
Inputs
#<alt (* (* (sqrt x) (+ y (+ (/ 1/9 x) -1))) 3)>
#<alt (* (sqrt x) (+ y (+ (/ 1/9 x) -1)))>
#<alt (sqrt x)>
#<alt (+ y (+ (/ 1/9 x) -1))>
#<alt (* 1/3 (sqrt (/ 1 x)))>
#<alt (sqrt (/ 1 x))>
#<alt (/ 1 x)>
#<alt (* (* 3 (sqrt x)) (/ 1/9 x))>
#<alt (* 3 (sqrt x))>
#<alt (/ 1/9 x)>
#<alt (/ (sqrt x) (/ 1 (+ (* 3 y) (+ -3 (/ 1/3 x)))))>
#<alt (/ 1 (+ (* 3 y) (+ -3 (/ 1/3 x))))>
#<alt (+ (* 3 y) (+ -3 (/ 1/3 x)))>
#<alt (* (/ (* (sqrt x) 3) (+ y (+ (/ 1/9 x) 1))) (/ (+ (* (+ y (/ 1/9 x)) (+ y (/ 1/9 x))) -1) 1))>
#<alt (/ (+ (* (+ y (/ 1/9 x)) (+ y (/ 1/9 x))) -1) 1)>
#<alt (/ (* (sqrt x) 3) (+ y (+ (/ 1/9 x) 1)))>
#<alt (* (sqrt x) 3)>
#<alt (/ 1/3 x)>
Outputs
#<alt (* 1/3 (sqrt (/ 1 x)))>
#<alt (/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) (- y 1)))) x)>
#<alt (/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) (- y 1)))) x)>
#<alt (/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) (- y 1)))) x)>
#<alt (* 3 (* (sqrt x) (- y 1)))>
#<alt (* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) (- y 1)))))>
#<alt (* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) (- y 1)))))>
#<alt (* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) (- y 1)))))>
#<alt (* -3 (* (sqrt x) (* (pow (sqrt -1) 2) (- y 1))))>
#<alt (* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1)))))))>
#<alt (* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1)))))))>
#<alt (* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1)))))))>
#<alt (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1)))>
#<alt (+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1))))>
#<alt (+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1))))>
#<alt (+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1))))>
#<alt (* 3 (* (sqrt x) y))>
#<alt (* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))>
#<alt (* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))>
#<alt (* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))>
#<alt (* 3 (* (sqrt x) y))>
#<alt (* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))))>
#<alt (* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))))>
#<alt (* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))))>
#<alt (* 1/9 (sqrt (/ 1 x)))>
#<alt (/ (+ (* 1/9 (sqrt x)) (* (sqrt (pow x 3)) (- y 1))) x)>
#<alt (/ (+ (* 1/9 (sqrt x)) (* (sqrt (pow x 3)) (- y 1))) x)>
#<alt (/ (+ (* 1/9 (sqrt x)) (* (sqrt (pow x 3)) (- y 1))) x)>
#<alt (* (sqrt x) (- y 1))>
#<alt (* x (+ (* 1/9 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (- y 1))))>
#<alt (* x (+ (* 1/9 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (- y 1))))>
#<alt (* x (+ (* 1/9 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (- y 1))))>
#<alt (* -1 (* (sqrt x) (* (pow (sqrt -1) 2) (- y 1))))>
#<alt (* -1 (* x (+ (* 1/9 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1))))))>
#<alt (* -1 (* x (+ (* 1/9 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1))))))>
#<alt (* -1 (* x (+ (* 1/9 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1))))))>
#<alt (* (sqrt x) (- (* 1/9 (/ 1 x)) 1))>
#<alt (+ (* (sqrt x) y) (* (sqrt x) (- (* 1/9 (/ 1 x)) 1)))>
#<alt (+ (* (sqrt x) y) (* (sqrt x) (- (* 1/9 (/ 1 x)) 1)))>
#<alt (+ (* (sqrt x) y) (* (sqrt x) (- (* 1/9 (/ 1 x)) 1)))>
#<alt (* (sqrt x) y)>
#<alt (* y (+ (sqrt x) (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))>
#<alt (* y (+ (sqrt x) (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))>
#<alt (* y (+ (sqrt x) (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))>
#<alt (* (sqrt x) y)>
#<alt (* -1 (* y (+ (* -1 (sqrt x)) (* -1 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))))>
#<alt (* -1 (* y (+ (* -1 (sqrt x)) (* -1 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))))>
#<alt (* -1 (* y (+ (* -1 (sqrt x)) (* -1 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))))>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (- (* 1/9 (/ 1 x)) 1)>
#<alt (- (+ y (* 1/9 (/ 1 x))) 1)>
#<alt (- (+ y (* 1/9 (/ 1 x))) 1)>
#<alt (- (+ y (* 1/9 (/ 1 x))) 1)>
#<alt y>
#<alt (* y (- (+ 1 (/ 1/9 (* x y))) (/ 1 y)))>
#<alt (* y (- (+ 1 (/ 1/9 (* x y))) (/ 1 y)))>
#<alt (* y (- (+ 1 (/ 1/9 (* x y))) (/ 1 y)))>
#<alt y>
#<alt (* -1 (* y (- (* -1 (/ (- (* 1/9 (/ 1 x)) 1) y)) 1)))>
#<alt (* -1 (* y (- (* -1 (/ (- (* 1/9 (/ 1 x)) 1) y)) 1)))>
#<alt (* -1 (* y (- (* -1 (/ (- (* 1/9 (/ 1 x)) 1) y)) 1)))>
#<alt (/ 1/9 x)>
#<alt (/ (+ 1/9 (* x (- y 1))) x)>
#<alt (/ (+ 1/9 (* x (- y 1))) x)>
#<alt (/ (+ 1/9 (* x (- y 1))) x)>
#<alt (- y 1)>
#<alt (- (+ y (* 1/9 (/ 1 x))) 1)>
#<alt (- (+ y (* 1/9 (/ 1 x))) 1)>
#<alt (- (+ y (* 1/9 (/ 1 x))) 1)>
#<alt (- y 1)>
#<alt (- (+ y (* 1/9 (/ 1 x))) 1)>
#<alt (- (+ y (* 1/9 (/ 1 x))) 1)>
#<alt (- (+ y (* 1/9 (/ 1 x))) 1)>
#<alt (* 1/3 (sqrt (/ 1 x)))>
#<alt (* 1/3 (sqrt (/ 1 x)))>
#<alt (* 1/3 (sqrt (/ 1 x)))>
#<alt (* 1/3 (sqrt (/ 1 x)))>
#<alt (* 1/3 (sqrt (/ 1 x)))>
#<alt (* 1/3 (sqrt (/ 1 x)))>
#<alt (* 1/3 (sqrt (/ 1 x)))>
#<alt (* 1/3 (sqrt (/ 1 x)))>
#<alt (* 1/3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))>
#<alt (* 1/3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))>
#<alt (* 1/3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))>
#<alt (* 1/3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))>
#<alt (sqrt (/ 1 x))>
#<alt (sqrt (/ 1 x))>
#<alt (sqrt (/ 1 x))>
#<alt (sqrt (/ 1 x))>
#<alt (sqrt (/ 1 x))>
#<alt (sqrt (/ 1 x))>
#<alt (sqrt (/ 1 x))>
#<alt (sqrt (/ 1 x))>
#<alt (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))>
#<alt (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))>
#<alt (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))>
#<alt (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (* 1/3 (sqrt (/ 1 x)))>
#<alt (* 1/3 (sqrt (/ 1 x)))>
#<alt (* 1/3 (sqrt (/ 1 x)))>
#<alt (* 1/3 (sqrt (/ 1 x)))>
#<alt (* 1/3 (sqrt (/ 1 x)))>
#<alt (* 1/3 (sqrt (/ 1 x)))>
#<alt (* 1/3 (sqrt (/ 1 x)))>
#<alt (* 1/3 (sqrt (/ 1 x)))>
#<alt (* -1/3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))>
#<alt (* -1/3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))>
#<alt (* -1/3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))>
#<alt (* -1/3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))>
#<alt (* 3 (sqrt x))>
#<alt (* 3 (sqrt x))>
#<alt (* 3 (sqrt x))>
#<alt (* 3 (sqrt x))>
#<alt (* 3 (sqrt x))>
#<alt (* 3 (sqrt x))>
#<alt (* 3 (sqrt x))>
#<alt (* 3 (sqrt x))>
#<alt (* -3 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* -3 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* -3 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* -3 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (/ 1/9 x)>
#<alt (/ 1/9 x)>
#<alt (/ 1/9 x)>
#<alt (/ 1/9 x)>
#<alt (/ 1/9 x)>
#<alt (/ 1/9 x)>
#<alt (/ 1/9 x)>
#<alt (/ 1/9 x)>
#<alt (/ 1/9 x)>
#<alt (/ 1/9 x)>
#<alt (/ 1/9 x)>
#<alt (/ 1/9 x)>
#<alt (* 1/3 (sqrt (/ 1 x)))>
#<alt (/ (+ (* 1/3 (sqrt x)) (* (sqrt (pow x 3)) (- (* 3 y) 3))) x)>
#<alt (/ (+ (* 1/3 (sqrt x)) (* (sqrt (pow x 3)) (- (* 3 y) 3))) x)>
#<alt (/ (+ (* 1/3 (sqrt x)) (* (sqrt (pow x 3)) (- (* 3 y) 3))) x)>
#<alt (* (sqrt x) (- (* 3 y) 3))>
#<alt (* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (- (* 3 y) 3))))>
#<alt (* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (- (* 3 y) 3))))>
#<alt (* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (- (* 3 y) 3))))>
#<alt (* -1 (* (sqrt x) (* (pow (sqrt -1) 2) (- (* 3 y) 3))))>
#<alt (* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- (* 3 y) 3))))))>
#<alt (* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- (* 3 y) 3))))))>
#<alt (* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- (* 3 y) 3))))))>
#<alt (* (sqrt x) (- (* 1/3 (/ 1 x)) 3))>
#<alt (+ (* 3 (* (sqrt x) y)) (* (sqrt x) (- (* 1/3 (/ 1 x)) 3)))>
#<alt (+ (* 3 (* (sqrt x) y)) (* (sqrt x) (- (* 1/3 (/ 1 x)) 3)))>
#<alt (+ (* 3 (* (sqrt x) y)) (* (sqrt x) (- (* 1/3 (/ 1 x)) 3)))>
#<alt (* 3 (* (sqrt x) y))>
#<alt (* y (+ (* 3 (sqrt x)) (* (sqrt x) (/ (- (* 1/3 (/ 1 x)) 3) y))))>
#<alt (* y (+ (* 3 (sqrt x)) (* (sqrt x) (/ (- (* 1/3 (/ 1 x)) 3) y))))>
#<alt (* y (+ (* 3 (sqrt x)) (* (sqrt x) (/ (- (* 1/3 (/ 1 x)) 3) y))))>
#<alt (* 3 (* (sqrt x) y))>
#<alt (* -1 (* y (+ (* -3 (sqrt x)) (* -1 (* (sqrt x) (/ (- (* 1/3 (/ 1 x)) 3) y))))))>
#<alt (* -1 (* y (+ (* -3 (sqrt x)) (* -1 (* (sqrt x) (/ (- (* 1/3 (/ 1 x)) 3) y))))))>
#<alt (* -1 (* y (+ (* -3 (sqrt x)) (* -1 (* (sqrt x) (/ (- (* 1/3 (/ 1 x)) 3) y))))))>
#<alt (/ 1 (- (* 1/3 (/ 1 x)) 3))>
#<alt (+ (* -3 (/ y (pow (- (* 1/3 (/ 1 x)) 3) 2))) (/ 1 (- (* 1/3 (/ 1 x)) 3)))>
#<alt (+ (* y (- (* 9 (/ y (pow (- (* 1/3 (/ 1 x)) 3) 3))) (* 3 (/ 1 (pow (- (* 1/3 (/ 1 x)) 3) 2))))) (/ 1 (- (* 1/3 (/ 1 x)) 3)))>
#<alt (+ (* y (- (* y (+ (* -27 (/ y (pow (- (* 1/3 (/ 1 x)) 3) 4))) (* 9 (/ 1 (pow (- (* 1/3 (/ 1 x)) 3) 3))))) (* 3 (/ 1 (pow (- (* 1/3 (/ 1 x)) 3) 2))))) (/ 1 (- (* 1/3 (/ 1 x)) 3)))>
#<alt (/ 1/3 y)>
#<alt (/ (+ 1/3 (* -1/9 (/ (- (* 1/3 (/ 1 x)) 3) y))) y)>
#<alt (/ (- (+ 1/3 (* 1/27 (/ (pow (- (* 1/3 (/ 1 x)) 3) 2) (pow y 2)))) (* 1/9 (/ (- (* 1/3 (/ 1 x)) 3) y))) y)>
#<alt (/ (- (+ 1/3 (* -1/81 (/ (pow (- (* 1/3 (/ 1 x)) 3) 3) (pow y 3)))) (+ (* -1/27 (/ (pow (- (* 1/3 (/ 1 x)) 3) 2) (pow y 2))) (* 1/9 (/ (- (* 1/3 (/ 1 x)) 3) y)))) y)>
#<alt (/ 1/3 y)>
#<alt (* -1 (/ (- (* 1/9 (/ (- (* 1/3 (/ 1 x)) 3) y)) 1/3) y))>
#<alt (* -1 (/ (- (* -1 (/ (- (* 1/27 (/ (pow (- (* 1/3 (/ 1 x)) 3) 2) y)) (* 1/9 (- (* 1/3 (/ 1 x)) 3))) y)) 1/3) y))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/81 (/ (pow (- (* 1/3 (/ 1 x)) 3) 3) y)) (* 1/27 (pow (- (* 1/3 (/ 1 x)) 3) 2))) y)) (* 1/9 (- (* 1/3 (/ 1 x)) 3))) y)) 1/3) y))>
#<alt (* 3 x)>
#<alt (* x (+ 3 (* -9 (* x (- (* 3 y) 3)))))>
#<alt (* x (+ 3 (* x (- (* 27 (* x (pow (- (* 3 y) 3) 2))) (* 9 (- (* 3 y) 3))))))>
#<alt (* x (+ 3 (* x (- (* x (- (* -81 (* x (pow (- (* 3 y) 3) 3))) (* -27 (pow (- (* 3 y) 3) 2)))) (* 9 (- (* 3 y) 3))))))>
#<alt (/ 1 (- (* 3 y) 3))>
#<alt (- (/ 1 (- (* 3 y) 3)) (* 1/3 (/ 1 (* x (pow (- (* 3 y) 3) 2)))))>
#<alt (- (+ (/ 1/9 (* (pow x 2) (pow (- (* 3 y) 3) 3))) (/ 1 (- (* 3 y) 3))) (/ 1/3 (* x (pow (- (* 3 y) 3) 2))))>
#<alt (- (+ (* 1/9 (/ 1 (* (pow x 2) (pow (- (* 3 y) 3) 3)))) (/ 1 (- (* 3 y) 3))) (+ (/ 1/3 (* x (pow (- (* 3 y) 3) 2))) (* 1/27 (/ 1 (* (pow x 3) (pow (- (* 3 y) 3) 4))))))>
#<alt (/ 1 (- (* 3 y) 3))>
#<alt (- (/ 1 (- (* 3 y) 3)) (* 1/3 (/ 1 (* x (pow (- (* 3 y) 3) 2)))))>
#<alt (+ (* -1 (/ (- (* 1/3 (/ 1 (pow (- (* 3 y) 3) 2))) (* 1/9 (/ 1 (* x (pow (- (* 3 y) 3) 3))))) x)) (/ 1 (- (* 3 y) 3)))>
#<alt (+ (* -1 (/ (+ (* -1 (/ (- (* 1/9 (/ 1 (pow (- (* 3 y) 3) 3))) (* 1/27 (/ 1 (* x (pow (- (* 3 y) 3) 4))))) x)) (* 1/3 (/ 1 (pow (- (* 3 y) 3) 2)))) x)) (/ 1 (- (* 3 y) 3)))>
#<alt (- (* 1/3 (/ 1 x)) 3)>
#<alt (- (+ (* 1/3 (/ 1 x)) (* 3 y)) 3)>
#<alt (- (+ (* 1/3 (/ 1 x)) (* 3 y)) 3)>
#<alt (- (+ (* 1/3 (/ 1 x)) (* 3 y)) 3)>
#<alt (* 3 y)>
#<alt (* y (- (+ 3 (/ 1/3 (* x y))) (* 3 (/ 1 y))))>
#<alt (* y (- (+ 3 (/ 1/3 (* x y))) (* 3 (/ 1 y))))>
#<alt (* y (- (+ 3 (/ 1/3 (* x y))) (* 3 (/ 1 y))))>
#<alt (* 3 y)>
#<alt (* -1 (* y (- (* -1 (/ (- (* 1/3 (/ 1 x)) 3) y)) 3)))>
#<alt (* -1 (* y (- (* -1 (/ (- (* 1/3 (/ 1 x)) 3) y)) 3)))>
#<alt (* -1 (* y (- (* -1 (/ (- (* 1/3 (/ 1 x)) 3) y)) 3)))>
#<alt (/ 1/3 x)>
#<alt (/ (+ 1/3 (* x (- (* 3 y) 3))) x)>
#<alt (/ (+ 1/3 (* x (- (* 3 y) 3))) x)>
#<alt (/ (+ 1/3 (* x (- (* 3 y) 3))) x)>
#<alt (- (* 3 y) 3)>
#<alt (- (+ (* 3 y) (* 1/3 (/ 1 x))) 3)>
#<alt (- (+ (* 3 y) (* 1/3 (/ 1 x))) 3)>
#<alt (- (+ (* 3 y) (* 1/3 (/ 1 x))) 3)>
#<alt (- (* 3 y) 3)>
#<alt (- (+ (* 3 y) (* 1/3 (/ 1 x))) 3)>
#<alt (- (+ (* 3 y) (* 1/3 (/ 1 x))) 3)>
#<alt (- (+ (* 3 y) (* 1/3 (/ 1 x))) 3)>
#<alt (* 1/3 (sqrt (/ 1 x)))>
#<alt (/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) (- (* 2 y) (+ 1 y))))) x)>
#<alt (/ (+ (* 1/3 (sqrt x)) (* x (+ (* 3 (* (sqrt x) (- (* 2 y) (+ 1 y)))) (* 3 (* (sqrt (pow x 3)) (- (* 9 (- (pow y 2) 1)) (* 9 (* (+ 1 y) (- (* 2 y) (+ 1 y)))))))))) x)>
#<alt (/ (+ (* 1/3 (sqrt x)) (* x (+ (* 3 (* (sqrt x) (- (* 2 y) (+ 1 y)))) (* x (+ (* -27 (* (sqrt (pow x 3)) (* (+ 1 y) (- (* 9 (- (pow y 2) 1)) (* 9 (* (+ 1 y) (- (* 2 y) (+ 1 y)))))))) (* 3 (* (sqrt x) (- (* 9 (- (pow y 2) 1)) (* 9 (* (+ 1 y) (- (* 2 y) (+ 1 y)))))))))))) x)>
#<alt (* 3 (* (sqrt x) (/ (- (pow y 2) 1) (+ 1 y))))>
#<alt (* x (+ (* 3 (* (sqrt (/ 1 x)) (/ (- (pow y 2) 1) (+ 1 y)))) (* 3 (* (sqrt (/ 1 (pow x 3))) (- (* 2/9 (/ y (+ 1 y))) (* 1/9 (/ (- (pow y 2) 1) (pow (+ 1 y) 2))))))))>
#<alt (* x (+ (* 3 (* (sqrt (/ 1 x)) (/ (- (pow y 2) 1) (+ 1 y)))) (+ (* 3 (* (sqrt (/ 1 (pow x 3))) (- (* 2/9 (/ y (+ 1 y))) (* 1/9 (/ (- (pow y 2) 1) (pow (+ 1 y) 2)))))) (* 3 (* (sqrt (/ 1 (pow x 5))) (- (* 1/81 (/ 1 (+ 1 y))) (* 1/9 (/ (- (* 2/9 (/ y (+ 1 y))) (* 1/9 (/ (- (pow y 2) 1) (pow (+ 1 y) 2)))) (+ 1 y)))))))))>
#<alt (* x (+ (* -1/3 (* (sqrt (/ 1 (pow x 7))) (/ (- (* 1/81 (/ 1 (+ 1 y))) (* 1/9 (/ (- (* 2/9 (/ y (+ 1 y))) (* 1/9 (/ (- (pow y 2) 1) (pow (+ 1 y) 2)))) (+ 1 y)))) (+ 1 y)))) (+ (* 3 (* (sqrt (/ 1 x)) (/ (- (pow y 2) 1) (+ 1 y)))) (+ (* 3 (* (sqrt (/ 1 (pow x 3))) (- (* 2/9 (/ y (+ 1 y))) (* 1/9 (/ (- (pow y 2) 1) (pow (+ 1 y) 2)))))) (* 3 (* (sqrt (/ 1 (pow x 5))) (- (* 1/81 (/ 1 (+ 1 y))) (* 1/9 (/ (- (* 2/9 (/ y (+ 1 y))) (* 1/9 (/ (- (pow y 2) 1) (pow (+ 1 y) 2)))) (+ 1 y))))))))))>
#<alt (* -3 (* (sqrt x) (/ (* (pow (sqrt -1) 2) (- (pow y 2) 1)) (+ 1 y))))>
#<alt (* -1 (* x (+ (* -3 (* (sqrt (/ 1 (pow x 3))) (* (sqrt -1) (- (* -2/9 (/ (* y (sqrt -1)) (+ 1 y))) (* -1/9 (/ (* (sqrt -1) (- (pow y 2) 1)) (pow (+ 1 y) 2))))))) (* 3 (* (sqrt (/ 1 x)) (/ (* (pow (sqrt -1) 2) (- (pow y 2) 1)) (+ 1 y)))))))>
#<alt (* -1 (* x (+ (* -1 (/ (+ (* -3 (* (sqrt (/ 1 (pow x 3))) (* (sqrt -1) (- (* 1/81 (/ (sqrt -1) (+ 1 y))) (* -1/9 (/ (- (* -2/9 (/ (* y (sqrt -1)) (+ 1 y))) (* -1/9 (/ (* (sqrt -1) (- (pow y 2) 1)) (pow (+ 1 y) 2)))) (+ 1 y))))))) (* 3 (* (sqrt (/ 1 x)) (* (sqrt -1) (- (* -2/9 (/ (* y (sqrt -1)) (+ 1 y))) (* -1/9 (/ (* (sqrt -1) (- (pow y 2) 1)) (pow (+ 1 y) 2)))))))) x)) (* 3 (* (sqrt (/ 1 x)) (/ (* (pow (sqrt -1) 2) (- (pow y 2) 1)) (+ 1 y)))))))>
#<alt (* -1 (* x (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/3 (* (sqrt (/ 1 (pow x 3))) (/ (* (sqrt -1) (- (* 1/81 (/ (sqrt -1) (+ 1 y))) (* -1/9 (/ (- (* -2/9 (/ (* y (sqrt -1)) (+ 1 y))) (* -1/9 (/ (* (sqrt -1) (- (pow y 2) 1)) (pow (+ 1 y) 2)))) (+ 1 y))))) (+ 1 y)))) (* 3 (* (sqrt (/ 1 x)) (* (sqrt -1) (- (* 1/81 (/ (sqrt -1) (+ 1 y))) (* -1/9 (/ (- (* -2/9 (/ (* y (sqrt -1)) (+ 1 y))) (* -1/9 (/ (* (sqrt -1) (- (pow y 2) 1)) (pow (+ 1 y) 2)))) (+ 1 y)))))))) x)) (* 3 (* (sqrt (/ 1 x)) (* (sqrt -1) (- (* -2/9 (/ (* y (sqrt -1)) (+ 1 y))) (* -1/9 (/ (* (sqrt -1) (- (pow y 2) 1)) (pow (+ 1 y) 2)))))))) x)) (* 3 (* (sqrt (/ 1 x)) (/ (* (pow (sqrt -1) 2) (- (pow y 2) 1)) (+ 1 y)))))))>
#<alt (* 3 (* (sqrt x) (/ (- (* 1/81 (/ 1 (pow x 2))) 1) (+ 1 (* 1/9 (/ 1 x))))))>
#<alt (+ (* 3 (* (sqrt x) (* y (- (+ (* 2/9 (/ 1 (* x (+ 1 (* 1/9 (/ 1 x)))))) (/ 1 (pow (+ 1 (* 1/9 (/ 1 x))) 2))) (* 1/81 (/ 1 (* (pow x 2) (pow (+ 1 (* 1/9 (/ 1 x))) 2)))))))) (* 3 (* (sqrt x) (/ (- (* 1/81 (/ 1 (pow x 2))) 1) (+ 1 (* 1/9 (/ 1 x)))))))>
#<alt (+ (* 3 (* (sqrt x) (/ (- (* 1/81 (/ 1 (pow x 2))) 1) (+ 1 (* 1/9 (/ 1 x)))))) (* y (+ (* 3 (* (sqrt x) (* y (- (+ (* 1/81 (/ 1 (* (pow x 2) (pow (+ 1 (* 1/9 (/ 1 x))) 3)))) (/ 1 (+ 1 (* 1/9 (/ 1 x))))) (+ (* 2/9 (/ 1 (* x (pow (+ 1 (* 1/9 (/ 1 x))) 2)))) (/ 1 (pow (+ 1 (* 1/9 (/ 1 x))) 3))))))) (* 3 (* (sqrt x) (- (+ (* 2/9 (/ 1 (* x (+ 1 (* 1/9 (/ 1 x)))))) (/ 1 (pow (+ 1 (* 1/9 (/ 1 x))) 2))) (* 1/81 (/ 1 (* (pow x 2) (pow (+ 1 (* 1/9 (/ 1 x))) 2))))))))))>
#<alt (+ (* 3 (* (sqrt x) (/ (- (* 1/81 (/ 1 (pow x 2))) 1) (+ 1 (* 1/9 (/ 1 x)))))) (* y (+ (* 3 (* (sqrt x) (- (+ (* 2/9 (/ 1 (* x (+ 1 (* 1/9 (/ 1 x)))))) (/ 1 (pow (+ 1 (* 1/9 (/ 1 x))) 2))) (* 1/81 (/ 1 (* (pow x 2) (pow (+ 1 (* 1/9 (/ 1 x))) 2))))))) (* y (+ (* 3 (* (sqrt x) (* y (- (+ (* 2/9 (/ 1 (* x (pow (+ 1 (* 1/9 (/ 1 x))) 3)))) (/ 1 (pow (+ 1 (* 1/9 (/ 1 x))) 4))) (+ (* 1/81 (/ 1 (* (pow x 2) (pow (+ 1 (* 1/9 (/ 1 x))) 4)))) (/ 1 (pow (+ 1 (* 1/9 (/ 1 x))) 2))))))) (* 3 (* (sqrt x) (- (+ (* 1/81 (/ 1 (* (pow x 2) (pow (+ 1 (* 1/9 (/ 1 x))) 3)))) (/ 1 (+ 1 (* 1/9 (/ 1 x))))) (+ (* 2/9 (/ 1 (* x (pow (+ 1 (* 1/9 (/ 1 x))) 2)))) (/ 1 (pow (+ 1 (* 1/9 (/ 1 x))) 3)))))))))))>
#<alt (* 3 (* (sqrt x) y))>
#<alt (* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 2/9 (/ 1 x)) (+ 1 (* 1/9 (/ 1 x)))) y)))))>
#<alt (* y (+ (* 3 (sqrt x)) (+ (* 3 (* (sqrt x) (/ (- (* 1/81 (/ 1 (pow x 2))) (+ 1 (* (+ 1 (* 1/9 (/ 1 x))) (- (* 2/9 (/ 1 x)) (+ 1 (* 1/9 (/ 1 x))))))) (pow y 2)))) (* 3 (* (sqrt x) (/ (- (* 2/9 (/ 1 x)) (+ 1 (* 1/9 (/ 1 x)))) y))))))>
#<alt (* y (+ (* -3 (* (sqrt x) (/ (* (+ 1 (* 1/9 (/ 1 x))) (- (* 1/81 (/ 1 (pow x 2))) (+ 1 (* (+ 1 (* 1/9 (/ 1 x))) (- (* 2/9 (/ 1 x)) (+ 1 (* 1/9 (/ 1 x)))))))) (pow y 3)))) (+ (* 3 (sqrt x)) (+ (* 3 (* (sqrt x) (/ (- (* 1/81 (/ 1 (pow x 2))) (+ 1 (* (+ 1 (* 1/9 (/ 1 x))) (- (* 2/9 (/ 1 x)) (+ 1 (* 1/9 (/ 1 x))))))) (pow y 2)))) (* 3 (* (sqrt x) (/ (- (* 2/9 (/ 1 x)) (+ 1 (* 1/9 (/ 1 x)))) y)))))))>
#<alt (* 3 (* (sqrt x) y))>
#<alt (* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt x) (/ (- (* 2/9 (/ 1 x)) (+ 1 (* 1/9 (/ 1 x)))) y))))))>
#<alt (* -1 (* y (+ (* -3 (sqrt x)) (* -1 (/ (+ (* -3 (* (sqrt x) (/ (- (* -1 (- (* 1/81 (/ 1 (pow x 2))) 1)) (* -1 (* (+ 1 (* 1/9 (/ 1 x))) (- (* 2/9 (/ 1 x)) (+ 1 (* 1/9 (/ 1 x))))))) y))) (* 3 (* (sqrt x) (- (* 2/9 (/ 1 x)) (+ 1 (* 1/9 (/ 1 x))))))) y)))))>
#<alt (* -1 (* y (+ (* -3 (sqrt x)) (* -1 (/ (+ (* -1 (/ (+ (* -3 (* (sqrt x) (/ (* (+ 1 (* 1/9 (/ 1 x))) (- (* -1 (- (* 1/81 (/ 1 (pow x 2))) 1)) (* -1 (* (+ 1 (* 1/9 (/ 1 x))) (- (* 2/9 (/ 1 x)) (+ 1 (* 1/9 (/ 1 x)))))))) y))) (* 3 (* (sqrt x) (- (* -1 (- (* 1/81 (/ 1 (pow x 2))) 1)) (* -1 (* (+ 1 (* 1/9 (/ 1 x))) (- (* 2/9 (/ 1 x)) (+ 1 (* 1/9 (/ 1 x)))))))))) y)) (* 3 (* (sqrt x) (- (* 2/9 (/ 1 x)) (+ 1 (* 1/9 (/ 1 x))))))) y)))))>
#<alt (- (* 1/81 (/ 1 (pow x 2))) 1)>
#<alt (- (+ (* 1/81 (/ 1 (pow x 2))) (* 2/9 (/ y x))) 1)>
#<alt (- (+ (* 1/81 (/ 1 (pow x 2))) (* y (+ y (* 2/9 (/ 1 x))))) 1)>
#<alt (- (+ (* 1/81 (/ 1 (pow x 2))) (* y (+ y (* 2/9 (/ 1 x))))) 1)>
#<alt (pow y 2)>
#<alt (* (pow y 2) (+ 1 (* 2/9 (/ 1 (* x y)))))>
#<alt (* (pow y 2) (- (+ 1 (+ (/ 2/9 (* x y)) (* 1/81 (/ 1 (* (pow x 2) (pow y 2)))))) (/ 1 (pow y 2))))>
#<alt (* (pow y 2) (- (+ 1 (+ (/ 2/9 (* x y)) (* 1/81 (/ 1 (* (pow x 2) (pow y 2)))))) (/ 1 (pow y 2))))>
#<alt (pow y 2)>
#<alt (* (pow y 2) (+ 1 (* 2/9 (/ 1 (* x y)))))>
#<alt (* (pow y 2) (+ 1 (* -1 (/ (- (* -1 (/ (- (* 1/81 (/ 1 (pow x 2))) 1) y)) (* 2/9 (/ 1 x))) y))))>
#<alt (* (pow y 2) (+ 1 (* -1 (/ (- (* -1 (/ (- (* 1/81 (/ 1 (pow x 2))) 1) y)) (* 2/9 (/ 1 x))) y))))>
#<alt (/ 1/81 (pow x 2))>
#<alt (/ (+ 1/81 (* 2/9 (* x y))) (pow x 2))>
#<alt (/ (+ 1/81 (* x (+ (* 2/9 y) (* x (- (pow y 2) 1))))) (pow x 2))>
#<alt (/ (+ 1/81 (* x (+ (* 2/9 y) (* x (- (pow y 2) 1))))) (pow x 2))>
#<alt (- (pow y 2) 1)>
#<alt (- (+ (* 2/9 (/ y x)) (pow y 2)) 1)>
#<alt (- (+ (* 2/9 (/ y x)) (+ (/ 1/81 (pow x 2)) (pow y 2))) 1)>
#<alt (- (+ (* 2/9 (/ y x)) (+ (/ 1/81 (pow x 2)) (pow y 2))) 1)>
#<alt (- (pow y 2) 1)>
#<alt (- (+ (* 2/9 (/ y x)) (pow y 2)) 1)>
#<alt (- (+ (* -1 (/ (- (* -2/9 y) (* 1/81 (/ 1 x))) x)) (pow y 2)) 1)>
#<alt (- (+ (* -1 (/ (- (* -2/9 y) (* 1/81 (/ 1 x))) x)) (pow y 2)) 1)>
#<alt (* 27 (sqrt (pow x 3)))>
#<alt (* x (+ (* -243 (* (sqrt (pow x 3)) (+ 1 y))) (* 27 (sqrt x))))>
#<alt (* x (+ (* 27 (sqrt x)) (* x (+ (* -243 (* (sqrt x) (+ 1 y))) (* 2187 (* (sqrt (pow x 3)) (pow (+ 1 y) 2)))))))>
#<alt (* x (+ (* 27 (sqrt x)) (* x (+ (* -243 (* (sqrt x) (+ 1 y))) (* x (+ (* -19683 (* (sqrt (pow x 3)) (pow (+ 1 y) 3))) (* 2187 (* (sqrt x) (pow (+ 1 y) 2)))))))))>
#<alt (* 3 (* (sqrt x) (/ 1 (+ 1 y))))>
#<alt (* x (+ (* -1/3 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (+ 1 y) 2)))) (* 3 (* (sqrt (/ 1 x)) (/ 1 (+ 1 y))))))>
#<alt (* x (+ (* -1/3 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (+ 1 y) 2)))) (+ (* 1/27 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (+ 1 y) 3)))) (* 3 (* (sqrt (/ 1 x)) (/ 1 (+ 1 y)))))))>
#<alt (* x (+ (* -1/3 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (+ 1 y) 2)))) (+ (* -1/243 (* (sqrt (/ 1 (pow x 7))) (/ 1 (pow (+ 1 y) 4)))) (+ (* 1/27 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (+ 1 y) 3)))) (* 3 (* (sqrt (/ 1 x)) (/ 1 (+ 1 y))))))))>
#<alt (* -3 (* (sqrt x) (/ (pow (sqrt -1) 2) (+ 1 y))))>
#<alt (* -1 (* x (+ (* -1/3 (* (sqrt (/ 1 (pow x 3))) (/ (pow (sqrt -1) 2) (pow (+ 1 y) 2)))) (* 3 (* (sqrt (/ 1 x)) (/ (pow (sqrt -1) 2) (+ 1 y)))))))>
#<alt (* -1 (* x (+ (* -1 (/ (+ (* -1/27 (* (sqrt (/ 1 (pow x 3))) (/ (pow (sqrt -1) 2) (pow (+ 1 y) 3)))) (* 1/3 (* (sqrt (/ 1 x)) (/ (pow (sqrt -1) 2) (pow (+ 1 y) 2))))) x)) (* 3 (* (sqrt (/ 1 x)) (/ (pow (sqrt -1) 2) (+ 1 y)))))))>
#<alt (* -1 (* x (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/243 (* (sqrt (/ 1 (pow x 3))) (/ (pow (sqrt -1) 2) (pow (+ 1 y) 4)))) (* 1/27 (* (sqrt (/ 1 x)) (/ (pow (sqrt -1) 2) (pow (+ 1 y) 3))))) x)) (* 1/3 (* (sqrt (/ 1 x)) (/ (pow (sqrt -1) 2) (pow (+ 1 y) 2))))) x)) (* 3 (* (sqrt (/ 1 x)) (/ (pow (sqrt -1) 2) (+ 1 y)))))))>
#<alt (* 3 (* (sqrt x) (/ 1 (+ 1 (* 1/9 (/ 1 x))))))>
#<alt (+ (* -3 (* (sqrt x) (/ y (pow (+ 1 (* 1/9 (/ 1 x))) 2)))) (* 3 (* (sqrt x) (/ 1 (+ 1 (* 1/9 (/ 1 x)))))))>
#<alt (+ (* 3 (* (sqrt x) (/ 1 (+ 1 (* 1/9 (/ 1 x)))))) (* y (+ (* -3 (* (sqrt x) (/ 1 (pow (+ 1 (* 1/9 (/ 1 x))) 2)))) (* 3 (* (sqrt x) (/ y (pow (+ 1 (* 1/9 (/ 1 x))) 3)))))))>
#<alt (+ (* 3 (* (sqrt x) (/ 1 (+ 1 (* 1/9 (/ 1 x)))))) (* y (+ (* -3 (* (sqrt x) (/ 1 (pow (+ 1 (* 1/9 (/ 1 x))) 2)))) (* y (+ (* -3 (* (sqrt x) (/ y (pow (+ 1 (* 1/9 (/ 1 x))) 4)))) (* 3 (* (sqrt x) (/ 1 (pow (+ 1 (* 1/9 (/ 1 x))) 3)))))))))>
#<alt (* 3 (* (sqrt x) (/ 1 y)))>
#<alt (/ (+ (* -3 (* (sqrt x) (/ (+ 1 (* 1/9 (/ 1 x))) y))) (* 3 (sqrt x))) y)>
#<alt (/ (+ (* -3 (* (sqrt x) (/ (+ 1 (* 1/9 (/ 1 x))) y))) (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (pow (+ 1 (* 1/9 (/ 1 x))) 2) (pow y 2)))))) y)>
#<alt (/ (+ (* -3 (* (sqrt x) (/ (+ 1 (* 1/9 (/ 1 x))) y))) (+ (* -3 (* (sqrt x) (/ (pow (+ 1 (* 1/9 (/ 1 x))) 3) (pow y 3)))) (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (pow (+ 1 (* 1/9 (/ 1 x))) 2) (pow y 2))))))) y)>
#<alt (* 3 (* (sqrt x) (/ 1 y)))>
#<alt (* -1 (/ (+ (* -3 (sqrt x)) (* 3 (* (sqrt x) (/ (+ 1 (* 1/9 (/ 1 x))) y)))) y))>
#<alt (* -1 (/ (+ (* -3 (sqrt x)) (* -1 (/ (+ (* -3 (* (sqrt x) (+ 1 (* 1/9 (/ 1 x))))) (* 3 (* (sqrt x) (/ (pow (+ 1 (* 1/9 (/ 1 x))) 2) y)))) y))) y))>
#<alt (* -1 (/ (+ (* -3 (sqrt x)) (* -1 (/ (+ (* -3 (* (sqrt x) (+ 1 (* 1/9 (/ 1 x))))) (* -1 (/ (+ (* -3 (* (sqrt x) (pow (+ 1 (* 1/9 (/ 1 x))) 2))) (* 3 (* (sqrt x) (/ (pow (+ 1 (* 1/9 (/ 1 x))) 3) y)))) y))) y))) 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 x)>
#<alt (/ 1/3 x)>
#<alt (/ 1/3 x)>
#<alt (/ 1/3 x)>
#<alt (/ 1/3 x)>
#<alt (/ 1/3 x)>
#<alt (/ 1/3 x)>
#<alt (/ 1/3 x)>
#<alt (/ 1/3 x)>
#<alt (/ 1/3 x)>
#<alt (/ 1/3 x)>
#<alt (/ 1/3 x)>
Calls

81 calls:

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

rewrite583.0ms (4.9%)

Algorithm
1×batch-egg-rewrite
Rules
5030×*-lowering-*.f32
5030×*-lowering-*.f64
3270×/-lowering-/.f32
3270×/-lowering-/.f64
2736×+-lowering-+.f64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
034124
1231114
22215114
09206114
Stop Event
1×iter limit
1×node limit
Counts
18 → 531
Calls
Call 1
Inputs
(* (* (sqrt x) (+ y (+ (/ 1/9 x) -1))) 3)
(* (sqrt x) (+ y (+ (/ 1/9 x) -1)))
(sqrt x)
(+ y (+ (/ 1/9 x) -1))
(* 1/3 (sqrt (/ 1 x)))
(sqrt (/ 1 x))
(/ 1 x)
(* (* 3 (sqrt x)) (/ 1/9 x))
(* 3 (sqrt x))
(/ 1/9 x)
(/ (sqrt x) (/ 1 (+ (* 3 y) (+ -3 (/ 1/3 x)))))
(/ 1 (+ (* 3 y) (+ -3 (/ 1/3 x))))
(+ (* 3 y) (+ -3 (/ 1/3 x)))
(* (/ (* (sqrt x) 3) (+ y (+ (/ 1/9 x) 1))) (/ (+ (* (+ y (/ 1/9 x)) (+ y (/ 1/9 x))) -1) 1))
(/ (+ (* (+ y (/ 1/9 x)) (+ y (/ 1/9 x))) -1) 1)
(/ (* (sqrt x) 3) (+ y (+ (/ 1/9 x) 1)))
(* (sqrt x) 3)
(/ 1/3 x)
Outputs
(+.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) (+.f64 y (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)))) #s(literal -1 binary64)) (*.f64 (/.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) (+.f64 y (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)))) (*.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) (+.f64 y (/.f64 #s(literal 1/9 binary64) x)))))
(+.f64 (*.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 y (/.f64 #s(literal 1/9 binary64) x)) (+.f64 y (/.f64 #s(literal 1/9 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)))) #s(literal -1 binary64)))
(+.f64 (*.f64 #s(literal 3 binary64) (*.f64 (sqrt.f64 x) y)) (*.f64 #s(literal 3 binary64) (*.f64 (sqrt.f64 x) (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)))))
(+.f64 (*.f64 #s(literal -1 binary64) (/.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 y (/.f64 #s(literal 1/9 binary64) x)) (+.f64 y (/.f64 #s(literal 1/9 binary64) x))) (/.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))) (/.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) (+.f64 y (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64))))) (*.f64 #s(literal -1 binary64) (/.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 (sqrt.f64 x) y) #s(literal 3 binary64)) (*.f64 (*.f64 (sqrt.f64 x) (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64))) #s(literal 3 binary64)))
(fma.f64 #s(literal -1 binary64) (/.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 y (/.f64 #s(literal 1/9 binary64) x)) (+.f64 y (/.f64 #s(literal 1/9 binary64) x))) (/.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) (+.f64 y (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64))))))
(fma.f64 #s(literal 3 binary64) (*.f64 (sqrt.f64 x) y) (*.f64 #s(literal 3 binary64) (*.f64 (sqrt.f64 x) (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)))))
(fma.f64 (/.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) (+.f64 y (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)))) #s(literal -1 binary64) (*.f64 (/.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) (+.f64 y (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)))) (*.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) (+.f64 y (/.f64 #s(literal 1/9 binary64) x)))))
(fma.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 y (/.f64 #s(literal 1/9 binary64) x)) (+.f64 y (/.f64 #s(literal 1/9 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)))) #s(literal -1 binary64)))
(fma.f64 (*.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) (+.f64 y (/.f64 #s(literal 1/9 binary64) x))) (/.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) (+.f64 y (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)))) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) (+.f64 y (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64))))))
(fma.f64 (*.f64 (sqrt.f64 x) y) #s(literal 3 binary64) (*.f64 (*.f64 (sqrt.f64 x) (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64))) #s(literal 3 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (+.f64 y (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64))) (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #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 (/.f64 #s(literal 1 binary64) (+.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 (+.f64 y (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64))) (*.f64 (sqrt.f64 x) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 y (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64))) (*.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) (+.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 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) (*.f64 (+.f64 y (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64))) #s(literal 3 binary64)))))
(/.f64 (/.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) (+.f64 y (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (*.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) (+.f64 y (/.f64 #s(literal 1/9 binary64) x))))))
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(/.f64 (*.f64 (+.f64 (*.f64 y (*.f64 y y)) (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64))))) (+.f64 y (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)))) (+.f64 (*.f64 y y) (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) (-.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) y))))
(/.f64 (*.f64 (-.f64 (*.f64 y y) (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)))) (+.f64 y (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)))) (-.f64 y (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64))))
(pow.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)))) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (*.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) (+.f64 y (/.f64 #s(literal 1/9 binary64) x))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 (*.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) (*.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) (*.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) (+.f64 y (/.f64 #s(literal 1/9 binary64) x))))) (-.f64 #s(literal 1 binary64) (*.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) (*.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal -1 binary64))))) (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) (*.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) (+.f64 y (/.f64 #s(literal 1/9 binary64) x)))) (*.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) (*.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) (+.f64 y (/.f64 #s(literal 1/9 binary64) x))))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 (*.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) (+.f64 y (/.f64 #s(literal 1/9 binary64) x))) #s(literal 1 binary64)) (+.f64 (*.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) (*.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) (*.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) (+.f64 y (/.f64 #s(literal 1/9 binary64) x))))) #s(literal -1 binary64))) #s(literal -1 binary64))
(*.f64 (+.f64 y (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64))) (+.f64 y (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64))))
(*.f64 #s(literal 1 binary64) (+.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 (+.f64 y (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64))) (+.f64 y (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64))))
(*.f64 (+.f64 y (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64))) (*.f64 (+.f64 y (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64))) #s(literal 1 binary64)))
(*.f64 (+.f64 y (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64))) (/.f64 (+.f64 y (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64))) #s(literal 1 binary64)))
(*.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)))) #s(literal 1 binary64))
(*.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal -1 binary64) (*.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) (+.f64 y (/.f64 #s(literal 1/9 binary64) x))))) #s(literal -1 binary64))
(*.f64 (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) (*.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) (+.f64 y (/.f64 #s(literal 1/9 binary64) x)))) (*.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) (*.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) (+.f64 y (/.f64 #s(literal 1/9 binary64) x)))))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) (*.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) (*.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) (+.f64 y (/.f64 #s(literal 1/9 binary64) x))))) (-.f64 #s(literal 1 binary64) (*.f64 (+.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 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) (*.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) (*.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) (+.f64 y (/.f64 #s(literal 1/9 binary64) x))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) (+.f64 y (/.f64 #s(literal 1/9 binary64) x))) #s(literal 1 binary64))))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal -1 binary64) (*.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 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) (*.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) (+.f64 y (/.f64 #s(literal 1/9 binary64) x)))) (*.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) (*.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) (+.f64 y (/.f64 #s(literal 1/9 binary64) x))))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) (*.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) (*.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) (+.f64 y (/.f64 #s(literal 1/9 binary64) x))))) (-.f64 #s(literal 1 binary64) (*.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) (*.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal -1 binary64)))))))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) (*.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) (*.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) (+.f64 y (/.f64 #s(literal 1/9 binary64) x))))) #s(literal -1 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) (+.f64 y (/.f64 #s(literal 1/9 binary64) x))) #s(literal 1 binary64))))
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 y (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64))) (*.f64 (sqrt.f64 x) #s(literal 3 binary64)))) #s(literal -1 binary64)))
(neg.f64 (/.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) (-.f64 #s(literal 0 binary64) (+.f64 y (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64))))))
(neg.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 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 y (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64))) (*.f64 (sqrt.f64 x) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 y (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64))) (*.f64 (sqrt.f64 x) #s(literal 3 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 y (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64))) (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) #s(literal 1 binary64)))
(/.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 (sqrt.f64 x) #s(literal -3 binary64)) (-.f64 #s(literal 0 binary64) (+.f64 y (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)))))
(/.f64 (*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 y (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64))))
(/.f64 (neg.f64 (*.f64 (sqrt.f64 x) #s(literal -3 binary64))) (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 y (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64))))))
(pow.f64 (/.f64 (+.f64 y (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64))) (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 (+.f64 y (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64))) (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 (sqrt.f64 x) (/.f64 #s(literal 3 binary64) (+.f64 y (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)))))
(*.f64 #s(literal 3 binary64) (*.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) (+.f64 y (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64))))))
(*.f64 #s(literal 3 binary64) (/.f64 (sqrt.f64 x) (+.f64 y (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)))))
(*.f64 #s(literal 1 binary64) (/.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 (sqrt.f64 x) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 y (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)))))
(*.f64 (*.f64 (sqrt.f64 x) #s(literal -3 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 y (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64))))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 y (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)))) (*.f64 (sqrt.f64 x) #s(literal 3 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 y (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)))) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 3 binary64) (+.f64 y (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)))) (sqrt.f64 x))
(*.f64 (/.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) (+.f64 (*.f64 y (*.f64 y y)) (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)))))) (+.f64 (*.f64 y y) (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) (-.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) y))))
(*.f64 (/.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) (-.f64 (*.f64 y y) (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64))))) (-.f64 y (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64))))
(*.f64 (sqrt.f64 x) #s(literal 3 binary64))
(*.f64 #s(literal 3 binary64) (sqrt.f64 x))
(exp.f64 (*.f64 (log.f64 (/.f64 x #s(literal 1/3 binary64))) #s(literal -1 binary64)))
(neg.f64 (/.f64 #s(literal -1/3 binary64) x))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 x #s(literal 1/3 binary64))))
(/.f64 #s(literal 1/3 binary64) x)
(/.f64 #s(literal 1/3 binary64) (neg.f64 (-.f64 #s(literal 0 binary64) x)))
(/.f64 #s(literal 1 binary64) (/.f64 x #s(literal 1/3 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 x #s(literal 1/3 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal -1/3 binary64) (-.f64 #s(literal 0 binary64) x))
(pow.f64 (/.f64 x #s(literal 1/3 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 x #s(literal 1/3 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) x))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) x))
(*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/3 binary64))
(*.f64 #s(literal -1/3 binary64) (/.f64 #s(literal -1 binary64) x))

simplify317.0ms (2.7%)

Algorithm
1×egg-herbie
Rules
7456×*-lowering-*.f32
7456×*-lowering-*.f64
2960×+-lowering-+.f64
2960×+-lowering-+.f32
1584×/-lowering-/.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
07324867
124194433
082904433
Stop Event
1×iter limit
1×node limit
Counts
324 → 324
Calls
Call 1
Inputs
(* 1/3 (sqrt (/ 1 x)))
(/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) (- y 1)))) x)
(/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) (- y 1)))) x)
(/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) (- y 1)))) x)
(* 3 (* (sqrt x) (- y 1)))
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) (- y 1)))))
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) (- y 1)))))
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) (- y 1)))))
(* -3 (* (sqrt x) (* (pow (sqrt -1) 2) (- y 1))))
(* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1)))))))
(* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1)))))))
(* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1)))))))
(* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1)))
(+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1))))
(+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1))))
(+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1))))
(* 3 (* (sqrt x) y))
(* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))
(* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))
(* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))
(* 3 (* (sqrt x) y))
(* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))))
(* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))))
(* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))))
(* 1/9 (sqrt (/ 1 x)))
(/ (+ (* 1/9 (sqrt x)) (* (sqrt (pow x 3)) (- y 1))) x)
(/ (+ (* 1/9 (sqrt x)) (* (sqrt (pow x 3)) (- y 1))) x)
(/ (+ (* 1/9 (sqrt x)) (* (sqrt (pow x 3)) (- y 1))) x)
(* (sqrt x) (- y 1))
(* x (+ (* 1/9 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (- y 1))))
(* x (+ (* 1/9 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (- y 1))))
(* x (+ (* 1/9 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (- y 1))))
(* -1 (* (sqrt x) (* (pow (sqrt -1) 2) (- y 1))))
(* -1 (* x (+ (* 1/9 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1))))))
(* -1 (* x (+ (* 1/9 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1))))))
(* -1 (* x (+ (* 1/9 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1))))))
(* (sqrt x) (- (* 1/9 (/ 1 x)) 1))
(+ (* (sqrt x) y) (* (sqrt x) (- (* 1/9 (/ 1 x)) 1)))
(+ (* (sqrt x) y) (* (sqrt x) (- (* 1/9 (/ 1 x)) 1)))
(+ (* (sqrt x) y) (* (sqrt x) (- (* 1/9 (/ 1 x)) 1)))
(* (sqrt x) y)
(* y (+ (sqrt x) (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))
(* y (+ (sqrt x) (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))
(* y (+ (sqrt x) (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))
(* (sqrt x) y)
(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))))
(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))))
(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))))
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(- (* 1/9 (/ 1 x)) 1)
(- (+ y (* 1/9 (/ 1 x))) 1)
(- (+ y (* 1/9 (/ 1 x))) 1)
(- (+ y (* 1/9 (/ 1 x))) 1)
y
(* y (- (+ 1 (/ 1/9 (* x y))) (/ 1 y)))
(* y (- (+ 1 (/ 1/9 (* x y))) (/ 1 y)))
(* y (- (+ 1 (/ 1/9 (* x y))) (/ 1 y)))
y
(* -1 (* y (- (* -1 (/ (- (* 1/9 (/ 1 x)) 1) y)) 1)))
(* -1 (* y (- (* -1 (/ (- (* 1/9 (/ 1 x)) 1) y)) 1)))
(* -1 (* y (- (* -1 (/ (- (* 1/9 (/ 1 x)) 1) y)) 1)))
(/ 1/9 x)
(/ (+ 1/9 (* x (- y 1))) x)
(/ (+ 1/9 (* x (- y 1))) x)
(/ (+ 1/9 (* x (- y 1))) x)
(- y 1)
(- (+ y (* 1/9 (/ 1 x))) 1)
(- (+ y (* 1/9 (/ 1 x))) 1)
(- (+ y (* 1/9 (/ 1 x))) 1)
(- y 1)
(- (+ y (* 1/9 (/ 1 x))) 1)
(- (+ y (* 1/9 (/ 1 x))) 1)
(- (+ y (* 1/9 (/ 1 x))) 1)
(* 1/3 (sqrt (/ 1 x)))
(* 1/3 (sqrt (/ 1 x)))
(* 1/3 (sqrt (/ 1 x)))
(* 1/3 (sqrt (/ 1 x)))
(* 1/3 (sqrt (/ 1 x)))
(* 1/3 (sqrt (/ 1 x)))
(* 1/3 (sqrt (/ 1 x)))
(* 1/3 (sqrt (/ 1 x)))
(* 1/3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))
(* 1/3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))
(* 1/3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))
(* 1/3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))
(sqrt (/ 1 x))
(sqrt (/ 1 x))
(sqrt (/ 1 x))
(sqrt (/ 1 x))
(sqrt (/ 1 x))
(sqrt (/ 1 x))
(sqrt (/ 1 x))
(sqrt (/ 1 x))
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2))
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2))
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2))
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2))
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(* 1/3 (sqrt (/ 1 x)))
(* 1/3 (sqrt (/ 1 x)))
(* 1/3 (sqrt (/ 1 x)))
(* 1/3 (sqrt (/ 1 x)))
(* 1/3 (sqrt (/ 1 x)))
(* 1/3 (sqrt (/ 1 x)))
(* 1/3 (sqrt (/ 1 x)))
(* 1/3 (sqrt (/ 1 x)))
(* -1/3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))
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(* y (+ (* 3 (sqrt x)) (+ (* 3 (* (sqrt x) (/ (- (* 1/81 (/ 1 (pow x 2))) (+ 1 (* (+ 1 (* 1/9 (/ 1 x))) (- (* 2/9 (/ 1 x)) (+ 1 (* 1/9 (/ 1 x))))))) (pow y 2)))) (* 3 (* (sqrt x) (/ (- (* 2/9 (/ 1 x)) (+ 1 (* 1/9 (/ 1 x)))) y))))))
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(- (* 1/81 (/ 1 (pow x 2))) 1)
(- (+ (* 1/81 (/ 1 (pow x 2))) (* 2/9 (/ y x))) 1)
(- (+ (* 1/81 (/ 1 (pow x 2))) (* y (+ y (* 2/9 (/ 1 x))))) 1)
(- (+ (* 1/81 (/ 1 (pow x 2))) (* y (+ y (* 2/9 (/ 1 x))))) 1)
(pow y 2)
(* (pow y 2) (+ 1 (* 2/9 (/ 1 (* x y)))))
(* (pow y 2) (- (+ 1 (+ (/ 2/9 (* x y)) (* 1/81 (/ 1 (* (pow x 2) (pow y 2)))))) (/ 1 (pow y 2))))
(* (pow y 2) (- (+ 1 (+ (/ 2/9 (* x y)) (* 1/81 (/ 1 (* (pow x 2) (pow y 2)))))) (/ 1 (pow y 2))))
(pow y 2)
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(* (pow y 2) (+ 1 (* -1 (/ (- (* -1 (/ (- (* 1/81 (/ 1 (pow x 2))) 1) y)) (* 2/9 (/ 1 x))) y))))
(/ 1/81 (pow x 2))
(/ (+ 1/81 (* 2/9 (* x y))) (pow x 2))
(/ (+ 1/81 (* x (+ (* 2/9 y) (* x (- (pow y 2) 1))))) (pow x 2))
(/ (+ 1/81 (* x (+ (* 2/9 y) (* x (- (pow y 2) 1))))) (pow x 2))
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(- (+ (* 2/9 (/ y x)) (+ (/ 1/81 (pow x 2)) (pow y 2))) 1)
(- (+ (* 2/9 (/ y x)) (+ (/ 1/81 (pow x 2)) (pow y 2))) 1)
(- (pow y 2) 1)
(- (+ (* 2/9 (/ y x)) (pow y 2)) 1)
(- (+ (* -1 (/ (- (* -2/9 y) (* 1/81 (/ 1 x))) x)) (pow y 2)) 1)
(- (+ (* -1 (/ (- (* -2/9 y) (* 1/81 (/ 1 x))) x)) (pow y 2)) 1)
(* 27 (sqrt (pow x 3)))
(* x (+ (* -243 (* (sqrt (pow x 3)) (+ 1 y))) (* 27 (sqrt x))))
(* x (+ (* 27 (sqrt x)) (* x (+ (* -243 (* (sqrt x) (+ 1 y))) (* 2187 (* (sqrt (pow x 3)) (pow (+ 1 y) 2)))))))
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(* 3 (* (sqrt x) (/ 1 (+ 1 y))))
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(* 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 x)
(/ 1/3 x)
(/ 1/3 x)
(/ 1/3 x)
(/ 1/3 x)
(/ 1/3 x)
(/ 1/3 x)
(/ 1/3 x)
(/ 1/3 x)
(/ 1/3 x)
(/ 1/3 x)
(/ 1/3 x)
Outputs
(* 1/3 (sqrt (/ 1 x)))
(*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) (- y 1)))) x)
(/.f64 (+.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (*.f64 (*.f64 #s(literal 3 binary64) (+.f64 y #s(literal -1 binary64))) (sqrt.f64 (*.f64 x (*.f64 x x))))) 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 (*.f64 #s(literal 3 binary64) (+.f64 y #s(literal -1 binary64))) (sqrt.f64 (*.f64 x (*.f64 x x))))) 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 (*.f64 #s(literal 3 binary64) (+.f64 y #s(literal -1 binary64))) (sqrt.f64 (*.f64 x (*.f64 x x))))) x)
(* 3 (* (sqrt x) (- y 1)))
(*.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) (+.f64 y #s(literal -1 binary64))))
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) (- y 1)))))
(*.f64 x (+.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))) (*.f64 (*.f64 #s(literal 3 binary64) (+.f64 y #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))
(* 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 (*.f64 #s(literal 3 binary64) (+.f64 y #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))
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(/.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) y))
(* -1 (* x (+ (* -1/3 (* (sqrt (/ 1 (pow x 3))) (/ (pow (sqrt -1) 2) (pow (+ 1 y) 2)))) (* 3 (* (sqrt (/ 1 x)) (/ (pow (sqrt -1) 2) (+ 1 y)))))))
(*.f64 (+.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (*.f64 (/.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) y)) (+.f64 #s(literal 1 binary64) y)) #s(literal -1/3 binary64))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) y)) #s(literal 3 binary64)))) (neg.f64 x))
(* -1 (* x (+ (* -1 (/ (+ (* -1/27 (* (sqrt (/ 1 (pow x 3))) (/ (pow (sqrt -1) 2) (pow (+ 1 y) 3)))) (* 1/3 (* (sqrt (/ 1 x)) (/ (pow (sqrt -1) 2) (pow (+ 1 y) 2))))) x)) (* 3 (* (sqrt (/ 1 x)) (/ (pow (sqrt -1) 2) (+ 1 y)))))))
(*.f64 (-.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) y)) #s(literal 3 binary64))) (/.f64 (+.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) y) (*.f64 (+.f64 #s(literal 1 binary64) y) (+.f64 #s(literal 1 binary64) y)))) #s(literal -1/27 binary64))) (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/3 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) y) (+.f64 #s(literal 1 binary64) y)))) x)) (neg.f64 x))
(* -1 (* x (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/243 (* (sqrt (/ 1 (pow x 3))) (/ (pow (sqrt -1) 2) (pow (+ 1 y) 4)))) (* 1/27 (* (sqrt (/ 1 x)) (/ (pow (sqrt -1) 2) (pow (+ 1 y) 3))))) x)) (* 1/3 (* (sqrt (/ 1 x)) (/ (pow (sqrt -1) 2) (pow (+ 1 y) 2))))) x)) (* 3 (* (sqrt (/ 1 x)) (/ (pow (sqrt -1) 2) (+ 1 y)))))))
(-.f64 #s(literal 0 binary64) (*.f64 x (-.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) y)) #s(literal 3 binary64))) (/.f64 (-.f64 (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/3 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) y) (+.f64 #s(literal 1 binary64) y))) (/.f64 (+.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (*.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) y) #s(literal 4 binary64))) #s(literal -1/243 binary64))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) y) (*.f64 (+.f64 #s(literal 1 binary64) y) (+.f64 #s(literal 1 binary64) y)))) #s(literal 1/27 binary64)))) x)) x))))
(* 3 (* (sqrt x) (/ 1 (+ 1 (* 1/9 (/ 1 x))))))
(/.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)))
(+ (* -3 (* (sqrt x) (/ y (pow (+ 1 (* 1/9 (/ 1 x))) 2)))) (* 3 (* (sqrt x) (/ 1 (+ 1 (* 1/9 (/ 1 x)))))))
(+.f64 (/.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x))) (/.f64 (*.f64 y (*.f64 (sqrt.f64 x) #s(literal -3 binary64))) (*.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)))))
(+ (* 3 (* (sqrt x) (/ 1 (+ 1 (* 1/9 (/ 1 x)))))) (* y (+ (* -3 (* (sqrt x) (/ 1 (pow (+ 1 (* 1/9 (/ 1 x))) 2)))) (* 3 (* (sqrt x) (/ y (pow (+ 1 (* 1/9 (/ 1 x))) 3)))))))
(+.f64 (/.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x))) (*.f64 y (+.f64 (/.f64 (*.f64 (sqrt.f64 x) #s(literal -3 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)))) (/.f64 (*.f64 #s(literal 3 binary64) (*.f64 (sqrt.f64 x) y)) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x))))))))
(+ (* 3 (* (sqrt x) (/ 1 (+ 1 (* 1/9 (/ 1 x)))))) (* y (+ (* -3 (* (sqrt x) (/ 1 (pow (+ 1 (* 1/9 (/ 1 x))) 2)))) (* y (+ (* -3 (* (sqrt x) (/ y (pow (+ 1 (* 1/9 (/ 1 x))) 4)))) (* 3 (* (sqrt x) (/ 1 (pow (+ 1 (* 1/9 (/ 1 x))) 3)))))))))
(+.f64 (/.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x))) (*.f64 y (+.f64 (/.f64 (*.f64 (sqrt.f64 x) #s(literal -3 binary64)) (*.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 y (+.f64 (/.f64 (*.f64 y (*.f64 (sqrt.f64 x) #s(literal -3 binary64))) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)) #s(literal 4 binary64))) (/.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x))))))))))
(* 3 (* (sqrt x) (/ 1 y)))
(/.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) y)
(/ (+ (* -3 (* (sqrt x) (/ (+ 1 (* 1/9 (/ 1 x))) y))) (* 3 (sqrt x))) y)
(/.f64 (+.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) (/.f64 (*.f64 (sqrt.f64 x) (*.f64 #s(literal -3 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)))) y)) y)
(/ (+ (* -3 (* (sqrt x) (/ (+ 1 (* 1/9 (/ 1 x))) y))) (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (pow (+ 1 (* 1/9 (/ 1 x))) 2) (pow y 2)))))) y)
(/.f64 (+.f64 (/.f64 (*.f64 (sqrt.f64 x) (*.f64 #s(literal -3 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)))) y) (*.f64 #s(literal 3 binary64) (*.f64 (+.f64 (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x))) (*.f64 y y)) #s(literal 1 binary64)) (sqrt.f64 x)))) y)
(/ (+ (* -3 (* (sqrt x) (/ (+ 1 (* 1/9 (/ 1 x))) y))) (+ (* -3 (* (sqrt x) (/ (pow (+ 1 (* 1/9 (/ 1 x))) 3) (pow y 3)))) (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (pow (+ 1 (* 1/9 (/ 1 x))) 2) (pow y 2))))))) y)
(/.f64 (+.f64 (*.f64 (*.f64 (sqrt.f64 x) #s(literal -3 binary64)) (+.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)) y) (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)) (*.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 y (*.f64 y y))))) (*.f64 #s(literal 3 binary64) (*.f64 (+.f64 (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x))) (*.f64 y y)) #s(literal 1 binary64)) (sqrt.f64 x)))) y)
(* 3 (* (sqrt x) (/ 1 y)))
(/.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) y)
(* -1 (/ (+ (* -3 (sqrt x)) (* 3 (* (sqrt x) (/ (+ 1 (* 1/9 (/ 1 x))) y)))) y))
(/.f64 (+.f64 (*.f64 (sqrt.f64 x) #s(literal -3 binary64)) (*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)) y))) (neg.f64 y))
(* -1 (/ (+ (* -3 (sqrt x)) (* -1 (/ (+ (* -3 (* (sqrt x) (+ 1 (* 1/9 (/ 1 x))))) (* 3 (* (sqrt x) (/ (pow (+ 1 (* 1/9 (/ 1 x))) 2) y)))) y))) y))
(/.f64 (-.f64 (*.f64 (sqrt.f64 x) #s(literal -3 binary64)) (/.f64 (+.f64 (*.f64 (sqrt.f64 x) (*.f64 #s(literal -3 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)))) (/.f64 (*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)))) y)) y)) (neg.f64 y))
(* -1 (/ (+ (* -3 (sqrt x)) (* -1 (/ (+ (* -3 (* (sqrt x) (+ 1 (* 1/9 (/ 1 x))))) (* -1 (/ (+ (* -3 (* (sqrt x) (pow (+ 1 (* 1/9 (/ 1 x))) 2))) (* 3 (* (sqrt x) (/ (pow (+ 1 (* 1/9 (/ 1 x))) 3) y)))) y))) y))) y))
(/.f64 (-.f64 (*.f64 (sqrt.f64 x) #s(literal -3 binary64)) (/.f64 (-.f64 (*.f64 (sqrt.f64 x) (*.f64 #s(literal -3 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)))) (/.f64 (+.f64 (*.f64 (*.f64 (sqrt.f64 x) #s(literal -3 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)))) (/.f64 (*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x))))) y)) y)) y)) (neg.f64 y))
(* 3 (sqrt x))
(*.f64 (sqrt.f64 x) #s(literal 3 binary64))
(* 3 (sqrt x))
(*.f64 (sqrt.f64 x) #s(literal 3 binary64))
(* 3 (sqrt x))
(*.f64 (sqrt.f64 x) #s(literal 3 binary64))
(* 3 (sqrt x))
(*.f64 (sqrt.f64 x) #s(literal 3 binary64))
(* 3 (sqrt x))
(*.f64 (sqrt.f64 x) #s(literal 3 binary64))
(* 3 (sqrt x))
(*.f64 (sqrt.f64 x) #s(literal 3 binary64))
(* 3 (sqrt x))
(*.f64 (sqrt.f64 x) #s(literal 3 binary64))
(* 3 (sqrt x))
(*.f64 (sqrt.f64 x) #s(literal 3 binary64))
(* -3 (* (sqrt x) (pow (sqrt -1) 2)))
(*.f64 (sqrt.f64 x) #s(literal 3 binary64))
(* -3 (* (sqrt x) (pow (sqrt -1) 2)))
(*.f64 (sqrt.f64 x) #s(literal 3 binary64))
(* -3 (* (sqrt x) (pow (sqrt -1) 2)))
(*.f64 (sqrt.f64 x) #s(literal 3 binary64))
(* -3 (* (sqrt x) (pow (sqrt -1) 2)))
(*.f64 (sqrt.f64 x) #s(literal 3 binary64))
(/ 1/3 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)

eval137.0ms (1.2%)

Compiler

Compiled 26370 to 2406 computations (90.9% saved)

prune114.0ms (1%)

Pruning

32 alts after pruning (30 fresh and 2 done)

PrunedKeptTotal
New1022221044
Fresh14822
Picked415
Done011
Total1040321072
Accuracy
100.0%
Counts
1072 → 32
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.3%
(/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 3 binary64) y) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)))))
62.4%
(/.f64 (+.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (*.f64 (*.f64 #s(literal 3 binary64) (+.f64 y #s(literal -1 binary64))) (sqrt.f64 (*.f64 x (*.f64 x x))))) x)
65.0%
(/.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 (+.f64 y (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64))) (*.f64 (sqrt.f64 x) #s(literal 3 binary64))))
62.3%
(/.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)))
33.9%
(/.f64 (*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) #s(literal -1/9 binary64)) (-.f64 #s(literal 0 binary64) x))
34.0%
(/.f64 (*.f64 (sqrt.f64 x) #s(literal 1/3 binary64)) x)
59.2%
(/.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64))))
▶41.7%
(/.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) y)))
41.7%
(/.f64 (sqrt.f64 x) (/.f64 #s(literal 1/3 binary64) y))
34.0%
(/.f64 (sqrt.f64 x) (*.f64 x #s(literal 3 binary64)))
▶34.0%
(/.f64 #s(literal 1/3 binary64) (sqrt.f64 x))
34.0%
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1/3 binary64))
27.0%
(*.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 y y))
99.4%
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1/2 binary64))) (+.f64 y (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)))) #s(literal 3 binary64))
▶95.8%
(*.f64 (*.f64 (sqrt.f64 x) (/.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 x (+.f64 y #s(literal -1 binary64)))) x)) #s(literal 3 binary64))
59.3%
(*.f64 (*.f64 (sqrt.f64 x) (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64))) #s(literal 3 binary64))
✓99.5%
(*.f64 (*.f64 (sqrt.f64 x) (+.f64 y (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)))) #s(literal 3 binary64))
66.5%
(*.f64 (*.f64 (sqrt.f64 x) (+.f64 y #s(literal -1 binary64))) #s(literal 3 binary64))
▶41.7%
(*.f64 (*.f64 (sqrt.f64 x) y) #s(literal 3 binary64))
52.3%
(*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) (/.f64 (+.f64 (*.f64 y y) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) y)))
▶99.5%
(*.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)))
✓99.5%
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64)))
66.6%
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 y #s(literal 1 binary64)))
41.7%
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) y)
79.6%
(*.f64 (*.f64 #s(literal 3 binary64) y) (*.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)) y) #s(literal 1 binary64)) (sqrt.f64 x)))
2.7%
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/3 binary64))
95.7%
(*.f64 (sqrt.f64 x) (/.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 x (+.f64 (*.f64 #s(literal 3 binary64) y) #s(literal -3 binary64)))) x))
34.0%
(*.f64 (sqrt.f64 x) (/.f64 #s(literal 1/3 binary64) x))
59.3%
(*.f64 (sqrt.f64 x) (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64)))
41.8%
(*.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) y))
79.7%
(*.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))))
34.0%
(*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))
Compiler

Compiled 818 to 615 computations (24.8% saved)

simplify162.0ms (1.4%)

Algorithm
1×egg-herbie
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(sqrt.f64 x)
✓cost-diff128
(/.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 x (+.f64 y #s(literal -1 binary64)))) x)
✓cost-diff128
(*.f64 (sqrt.f64 x) (/.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 x (+.f64 y #s(literal -1 binary64)))) x))
✓cost-diff128
(*.f64 (*.f64 (sqrt.f64 x) (/.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 x (+.f64 y #s(literal -1 binary64)))) x)) #s(literal 3 binary64))
✓cost-diff0
(*.f64 #s(literal 3 binary64) y)
✓cost-diff0
(sqrt.f64 x)
✓cost-diff128
(/.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) y))
✓cost-diff128
(/.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) y)))
✓cost-diff0
(sqrt.f64 x)
✓cost-diff0
(*.f64 (sqrt.f64 x) y)
✓cost-diff0
(*.f64 (*.f64 (sqrt.f64 x) y) #s(literal 3 binary64))
✓cost-diff0
(sqrt.f64 x)
✓cost-diff0
(/.f64 #s(literal 1/3 binary64) (sqrt.f64 x))
✓cost-diff128
(/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 9 binary64))
✓cost-diff128
(+.f64 y (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 9 binary64)))
✓cost-diff128
(-.f64 (+.f64 y (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 9 binary64))) #s(literal 1 binary64))
✓cost-diff128
(*.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)))
Rules
3042×*-lowering-*.f32
3042×*-lowering-*.f64
1348×sum4-define
1274×fma-lowering-fma.f32
1274×fma-lowering-fma.f64
Iterations

Useful iterations: 5 (0.0ms)

IterNodesCost
027140
166128
2154128
3388127
4903127
51644125
63842125
08620125
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(* (* 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)
1
9
(/ 1/3 (sqrt x))
1/3
(sqrt x)
x
(* (* (sqrt x) y) 3)
(* (sqrt x) y)
(sqrt x)
x
y
3
(/ (sqrt x) (/ 1 (* 3 y)))
(sqrt x)
x
(/ 1 (* 3 y))
1
(* 3 y)
3
y
(* (* (sqrt x) (/ (+ 1/9 (* x (+ y -1))) x)) 3)
(* (sqrt x) (/ (+ 1/9 (* x (+ y -1))) x))
(sqrt x)
x
(/ (+ 1/9 (* x (+ y -1))) x)
(+ 1/9 (* x (+ y -1)))
1/9
(* x (+ y -1))
(+ y -1)
y
-1
3
Outputs
(* (* 3 (sqrt x)) (- (+ y (/ (/ 1 x) 9)) 1))
(*.f64 (sqrt.f64 x) (+.f64 (+.f64 (*.f64 #s(literal 3 binary64) y) #s(literal -3 binary64)) (/.f64 #s(literal 1/3 binary64) x)))
(* 3 (sqrt x))
(/.f64 (sqrt.f64 x) #s(literal 1/3 binary64))
3
#s(literal 3 binary64)
(sqrt x)
(sqrt.f64 x)
x
(- (+ y (/ (/ 1 x) 9)) 1)
(+.f64 (+.f64 y (/.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 x)
(/.f64 #s(literal 1 binary64) x)
1
#s(literal 1 binary64)
9
#s(literal 9 binary64)
(/ 1/3 (sqrt x))
(/.f64 #s(literal 1/3 binary64) (sqrt.f64 x))
1/3
#s(literal 1/3 binary64)
(sqrt x)
(sqrt.f64 x)
x
(* (* (sqrt x) y) 3)
(*.f64 (/.f64 (sqrt.f64 x) #s(literal 1/3 binary64)) y)
(* (sqrt x) y)
(*.f64 (sqrt.f64 x) y)
(sqrt x)
(sqrt.f64 x)
x
y
3
#s(literal 3 binary64)
(/ (sqrt x) (/ 1 (* 3 y)))
(*.f64 (/.f64 (sqrt.f64 x) #s(literal 1/3 binary64)) y)
(sqrt x)
(sqrt.f64 x)
x
(/ 1 (* 3 y))
(/.f64 #s(literal 1/3 binary64) y)
1
#s(literal 1 binary64)
(* 3 y)
(*.f64 #s(literal 3 binary64) y)
3
#s(literal 3 binary64)
y
(* (* (sqrt x) (/ (+ 1/9 (* x (+ y -1))) x)) 3)
(*.f64 (sqrt.f64 x) (+.f64 (+.f64 (*.f64 #s(literal 3 binary64) y) #s(literal -3 binary64)) (/.f64 #s(literal 1/3 binary64) x)))
(* (sqrt x) (/ (+ 1/9 (* x (+ y -1))) x))
(*.f64 (sqrt.f64 x) (+.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal -1 binary64)))
(sqrt x)
(sqrt.f64 x)
x
(/ (+ 1/9 (* x (+ y -1))) x)
(+.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal -1 binary64))
(+ 1/9 (* x (+ y -1)))
(-.f64 #s(literal 1/9 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) y)))
1/9
#s(literal 1/9 binary64)
(* x (+ y -1))
(*.f64 x (+.f64 y #s(literal -1 binary64)))
(+ y -1)
(+.f64 y #s(literal -1 binary64))
y
-1
#s(literal -1 binary64)
3
#s(literal 3 binary64)

localize129.0ms (1.1%)

Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(+.f64 #s(literal 1/9 binary64) (*.f64 x (+.f64 y #s(literal -1 binary64))))
✓accuracy99.6%
(*.f64 (sqrt.f64 x) (/.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 x (+.f64 y #s(literal -1 binary64)))) x))
✓accuracy99.6%
(*.f64 (*.f64 (sqrt.f64 x) (/.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 x (+.f64 y #s(literal -1 binary64)))) x)) #s(literal 3 binary64))
✓accuracy90.6%
(/.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 x (+.f64 y #s(literal -1 binary64)))) x)
✓accuracy100.0%
(*.f64 #s(literal 3 binary64) y)
✓accuracy100.0%
(sqrt.f64 x)
✓accuracy99.6%
(/.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) y))
✓accuracy99.5%
(/.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) y)))
✓accuracy100.0%
(sqrt.f64 x)
✓accuracy99.6%
(*.f64 (sqrt.f64 x) y)
✓accuracy99.6%
(*.f64 (*.f64 (sqrt.f64 x) y) #s(literal 3 binary64))
✓accuracy100.0%
(sqrt.f64 x)
✓accuracy99.4%
(/.f64 #s(literal 1/3 binary64) (sqrt.f64 x))
✓accuracy100.0%
(+.f64 y (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 9 binary64)))
✓accuracy99.6%
(*.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)))
✓accuracy99.5%
(*.f64 #s(literal 3 binary64) (sqrt.f64 x))
✓accuracy99.5%
(/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 9 binary64))
Results
87.0ms256×0valid
Compiler

Compiled 154 to 28 computations (81.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 47.0ms
ival-mult: 14.0ms (29.6% of total)
ival-div: 13.0ms (27.5% of total)
...c/correct-round.rkt:119:19: 11.0ms (23.3% of total)
ival-add: 5.0ms (10.6% of total)
ival-sqrt: 2.0ms (4.2% of total)
ival-sub: 1.0ms (2.1% of total)
const: 1.0ms (2.1% of total)
backward-pass: 0.0ms (0% of total)

series23.0ms (0.2%)

Counts
16 → 312
Calls
Call 1
Inputs
#<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 (sqrt x))>
#<alt (sqrt x)>
#<alt (* (* (sqrt x) y) 3)>
#<alt (* (sqrt x) y)>
#<alt (/ (sqrt x) (/ 1 (* 3 y)))>
#<alt (/ 1 (* 3 y))>
#<alt (* 3 y)>
#<alt (* (* (sqrt x) (/ (+ 1/9 (* x (+ y -1))) x)) 3)>
#<alt (* (sqrt x) (/ (+ 1/9 (* x (+ y -1))) x))>
#<alt (/ (+ 1/9 (* x (+ y -1))) x)>
#<alt (* 3 (sqrt x))>
#<alt (+ 1/9 (* x (+ y -1)))>
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 (/ 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 (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 (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 (* 3 (* (sqrt x) y))>
#<alt (* 3 (* (sqrt x) y))>
#<alt (* 3 (* (sqrt x) y))>
#<alt (* 3 (* (sqrt x) y))>
#<alt (* 3 (* (sqrt x) y))>
#<alt (* 3 (* (sqrt x) y))>
#<alt (* 3 (* (sqrt x) y))>
#<alt (* 3 (* (sqrt x) y))>
#<alt (* -3 (* (sqrt x) (* y (pow (sqrt -1) 2))))>
#<alt (* -3 (* (sqrt x) (* y (pow (sqrt -1) 2))))>
#<alt (* -3 (* (sqrt x) (* y (pow (sqrt -1) 2))))>
#<alt (* -3 (* (sqrt x) (* y (pow (sqrt -1) 2))))>
#<alt (* 3 (* (sqrt x) y))>
#<alt (* 3 (* (sqrt x) y))>
#<alt (* 3 (* (sqrt x) y))>
#<alt (* 3 (* (sqrt x) y))>
#<alt (* 3 (* (sqrt x) y))>
#<alt (* 3 (* (sqrt x) y))>
#<alt (* 3 (* (sqrt x) y))>
#<alt (* 3 (* (sqrt x) y))>
#<alt (* 3 (* (sqrt x) y))>
#<alt (* 3 (* (sqrt x) y))>
#<alt (* 3 (* (sqrt x) y))>
#<alt (* 3 (* (sqrt x) y))>
#<alt (* (sqrt x) y)>
#<alt (* (sqrt x) y)>
#<alt (* (sqrt x) y)>
#<alt (* (sqrt x) y)>
#<alt (* (sqrt x) y)>
#<alt (* (sqrt x) y)>
#<alt (* (sqrt x) y)>
#<alt (* (sqrt x) y)>
#<alt (* -1 (* (sqrt x) (* y (pow (sqrt -1) 2))))>
#<alt (* -1 (* (sqrt x) (* y (pow (sqrt -1) 2))))>
#<alt (* -1 (* (sqrt x) (* y (pow (sqrt -1) 2))))>
#<alt (* -1 (* (sqrt x) (* y (pow (sqrt -1) 2))))>
#<alt (* (sqrt x) y)>
#<alt (* (sqrt x) y)>
#<alt (* (sqrt x) y)>
#<alt (* (sqrt x) y)>
#<alt (* (sqrt x) y)>
#<alt (* (sqrt x) y)>
#<alt (* (sqrt x) y)>
#<alt (* (sqrt x) y)>
#<alt (* (sqrt x) y)>
#<alt (* (sqrt x) y)>
#<alt (* (sqrt x) y)>
#<alt (* (sqrt x) y)>
#<alt (* 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 (/ 1/3 y)>
#<alt (/ 1/3 y)>
#<alt (/ 1/3 y)>
#<alt (/ 1/3 y)>
#<alt (/ 1/3 y)>
#<alt (/ 1/3 y)>
#<alt (/ 1/3 y)>
#<alt (/ 1/3 y)>
#<alt (/ 1/3 y)>
#<alt (/ 1/3 y)>
#<alt (/ 1/3 y)>
#<alt (/ 1/3 y)>
#<alt (* 3 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 (/ 1 x)) (+ 1/9 (* -1 x))))>
#<alt (+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt (/ 1 x)) (+ 1/9 (* -1 x)))))>
#<alt (+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt (/ 1 x)) (+ 1/9 (* -1 x)))))>
#<alt (+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt (/ 1 x)) (+ 1/9 (* -1 x)))))>
#<alt (* 3 (* (sqrt x) y))>
#<alt (* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt (/ 1 x)) (/ (+ 1/9 (* -1 x)) y)))))>
#<alt (* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt (/ 1 x)) (/ (+ 1/9 (* -1 x)) y)))))>
#<alt (* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt (/ 1 x)) (/ (+ 1/9 (* -1 x)) y)))))>
#<alt (* 3 (* (sqrt x) y))>
#<alt (* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt (/ 1 x)) (/ (+ 1/9 (* -1 x)) y))))))>
#<alt (* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt (/ 1 x)) (/ (+ 1/9 (* -1 x)) y))))))>
#<alt (* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt (/ 1 x)) (/ (+ 1/9 (* -1 x)) 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 (/ 1 x)) (+ 1/9 (* -1 x)))>
#<alt (+ (* (sqrt x) y) (* (sqrt (/ 1 x)) (+ 1/9 (* -1 x))))>
#<alt (+ (* (sqrt x) y) (* (sqrt (/ 1 x)) (+ 1/9 (* -1 x))))>
#<alt (+ (* (sqrt x) y) (* (sqrt (/ 1 x)) (+ 1/9 (* -1 x))))>
#<alt (* (sqrt x) y)>
#<alt (* y (+ (sqrt x) (* (sqrt (/ 1 x)) (/ (+ 1/9 (* -1 x)) y))))>
#<alt (* y (+ (sqrt x) (* (sqrt (/ 1 x)) (/ (+ 1/9 (* -1 x)) y))))>
#<alt (* y (+ (sqrt x) (* (sqrt (/ 1 x)) (/ (+ 1/9 (* -1 x)) y))))>
#<alt (* (sqrt x) y)>
#<alt (* -1 (* y (+ (* -1 (sqrt x)) (* -1 (* (sqrt (/ 1 x)) (/ (+ 1/9 (* -1 x)) y))))))>
#<alt (* -1 (* y (+ (* -1 (sqrt x)) (* -1 (* (sqrt (/ 1 x)) (/ (+ 1/9 (* -1 x)) y))))))>
#<alt (* -1 (* y (+ (* -1 (sqrt x)) (* -1 (* (sqrt (/ 1 x)) (/ (+ 1/9 (* -1 x)) y))))))>
#<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 (* -1 x)) x)>
#<alt (+ -1 (+ y (* 1/9 (/ 1 x))))>
#<alt (+ -1 (+ y (* 1/9 (/ 1 x))))>
#<alt (+ -1 (+ y (* 1/9 (/ 1 x))))>
#<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 (* 3 (sqrt x))>
#<alt (* 3 (sqrt x))>
#<alt (* 3 (sqrt x))>
#<alt (* 3 (sqrt x))>
#<alt (* 3 (sqrt x))>
#<alt (* 3 (sqrt x))>
#<alt (* 3 (sqrt x))>
#<alt (* 3 (sqrt x))>
#<alt (* -3 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* -3 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* -3 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* -3 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt 1/9>
#<alt (+ 1/9 (* x (- y 1)))>
#<alt (+ 1/9 (* x (- y 1)))>
#<alt (+ 1/9 (* x (- y 1)))>
#<alt (* x (- y 1))>
#<alt (* x (- (+ y (* 1/9 (/ 1 x))) 1))>
#<alt (* x (- (+ y (* 1/9 (/ 1 x))) 1))>
#<alt (* x (- (+ y (* 1/9 (/ 1 x))) 1))>
#<alt (* x (- y 1))>
#<alt (* -1 (* x (- (* -1 (- y 1)) (* 1/9 (/ 1 x)))))>
#<alt (* -1 (* x (- (* -1 (- y 1)) (* 1/9 (/ 1 x)))))>
#<alt (* -1 (* x (- (* -1 (- y 1)) (* 1/9 (/ 1 x)))))>
#<alt (+ 1/9 (* -1 x))>
#<alt (+ 1/9 (+ (* -1 x) (* x y)))>
#<alt (+ 1/9 (+ (* -1 x) (* x y)))>
#<alt (+ 1/9 (+ (* -1 x) (* x y)))>
#<alt (* x y)>
#<alt (* y (+ x (+ (* -1 (/ x y)) (* 1/9 (/ 1 y)))))>
#<alt (* y (+ x (+ (* -1 (/ x y)) (* 1/9 (/ 1 y)))))>
#<alt (* y (+ x (+ (* -1 (/ x y)) (* 1/9 (/ 1 y)))))>
#<alt (* x y)>
#<alt (* -1 (* y (+ (* -1 x) (* -1 (/ (+ 1/9 (* -1 x)) y)))))>
#<alt (* -1 (* y (+ (* -1 x) (* -1 (/ (+ 1/9 (* -1 x)) y)))))>
#<alt (* -1 (* y (+ (* -1 x) (* -1 (/ (+ 1/9 (* -1 x)) y)))))>
Calls

78 calls:

TimeVariablePointExpression
8.0ms
x
@inf
(+ 1/9 (* x (+ y -1)))
1.0ms
x
@-inf
(* (* (sqrt x) (/ (+ 1/9 (* x (+ y -1))) x)) 3)
1.0ms
x
@-inf
(/ 1/3 (sqrt x))
1.0ms
x
@-inf
(* (* (sqrt x) y) 3)
1.0ms
y
@-inf
(* (* (sqrt x) (/ (+ 1/9 (* x (+ y -1))) x)) 3)

rewrite398.0ms (3.4%)

Algorithm
1×batch-egg-rewrite
Rules
3718×*-lowering-*.f32
3718×*-lowering-*.f64
3568×/-lowering-/.f32
3568×/-lowering-/.f64
1788×+-lowering-+.f64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
027105
115595
2118791
0838091
Stop Event
1×iter limit
1×node limit
Counts
16 → 567
Calls
Call 1
Inputs
(* (* 3 (sqrt x)) (- (+ y (/ (/ 1 x) 9)) 1))
(- (+ y (/ (/ 1 x) 9)) 1)
(+ y (/ (/ 1 x) 9))
(/ (/ 1 x) 9)
(/ 1/3 (sqrt x))
(sqrt x)
(* (* (sqrt x) y) 3)
(* (sqrt x) y)
(/ (sqrt x) (/ 1 (* 3 y)))
(/ 1 (* 3 y))
(* 3 y)
(* (* (sqrt x) (/ (+ 1/9 (* x (+ y -1))) x)) 3)
(* (sqrt x) (/ (+ 1/9 (* x (+ y -1))) x))
(/ (+ 1/9 (* x (+ y -1))) x)
(* 3 (sqrt x))
(+ 1/9 (* x (+ y -1)))
Outputs
(+.f64 (/.f64 (sqrt.f64 x) (/.f64 #s(literal 1/3 binary64) y)) (*.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 (sqrt.f64 x) (/.f64 #s(literal 1/3 binary64) y)) (/.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x))))
(+.f64 (*.f64 (/.f64 #s(literal 3 binary64) (pow.f64 x #s(literal -1/2 binary64))) (+.f64 y (/.f64 #s(literal 1/9 binary64) x))) (*.f64 (/.f64 #s(literal 3 binary64) (pow.f64 x #s(literal -1/2 binary64))) #s(literal -1 binary64)))
(+.f64 (/.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) (*.f64 (sqrt.f64 x) #s(literal -3 binary64)))
(fma.f64 #s(literal 3 binary64) (*.f64 (sqrt.f64 x) y) (*.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))))
(fma.f64 #s(literal 3 binary64) (*.f64 (sqrt.f64 x) y) (/.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x))))
(fma.f64 (sqrt.f64 x) (/.f64 y #s(literal 1/3 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))))
(fma.f64 (sqrt.f64 x) (/.f64 y #s(literal 1/3 binary64)) (/.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x))))
(fma.f64 y (/.f64 #s(literal 3 binary64) (pow.f64 x #s(literal -1/2 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))))
(fma.f64 y (/.f64 #s(literal 3 binary64) (pow.f64 x #s(literal -1/2 binary64))) (/.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x))))
(fma.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 x) (/.f64 #s(literal 1/3 binary64) y)) (*.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))))
(fma.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 x) (/.f64 #s(literal 1/3 binary64) y)) (/.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x))))
(fma.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) (/.f64 #s(literal 3 binary64) (pow.f64 x #s(literal -1/2 binary64))) (*.f64 (sqrt.f64 x) #s(literal -3 binary64)))
(fma.f64 (*.f64 (sqrt.f64 x) y) #s(literal 3 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))))
(fma.f64 (*.f64 (sqrt.f64 x) y) #s(literal 3 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x))))
(fma.f64 (/.f64 y #s(literal 1/3 binary64)) (sqrt.f64 x) (*.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))))
(fma.f64 (/.f64 y #s(literal 1/3 binary64)) (sqrt.f64 x) (/.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x))))
(fma.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 x)) (*.f64 y #s(literal -3 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))))
(fma.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 x)) (*.f64 y #s(literal -3 binary64)) (/.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x))))
(fma.f64 (/.f64 #s(literal 3 binary64) (pow.f64 x #s(literal -1/2 binary64))) y (*.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))))
(fma.f64 (/.f64 #s(literal 3 binary64) (pow.f64 x #s(literal -1/2 binary64))) y (/.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x))))
(fma.f64 (/.f64 #s(literal 3 binary64) (pow.f64 x #s(literal -1/2 binary64))) (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) (*.f64 (/.f64 #s(literal 3 binary64) (pow.f64 x #s(literal -1/2 binary64))) #s(literal -1 binary64)))
(/.f64 #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))) (+.f64 y (+.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 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) (*.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) (+.f64 y (/.f64 #s(literal 1/9 binary64) x)))) #s(literal -1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 y (+.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 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) (+.f64 y (/.f64 #s(literal 1/9 binary64) x))) #s(literal -1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) (+.f64 y (/.f64 #s(literal 1/9 binary64) x))) (+.f64 y (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)))) (/.f64 (+.f64 (*.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) (*.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) (+.f64 y (/.f64 #s(literal 1/9 binary64) x)))) #s(literal -1 binary64)) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 y (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64))) (/.f64 (+.f64 (*.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) (+.f64 y (/.f64 #s(literal 1/9 binary64) x))) #s(literal -1 binary64)) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)))))
(/.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) (+.f64 y #s(literal -1 binary64))) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)))
(/.f64 (/.f64 #s(literal 3 binary64) (pow.f64 x #s(literal -1/2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) x) (+.f64 y #s(literal -1 binary64)))))
(/.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) (+.f64 y #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 x #s(literal -1/2 binary64)))
(/.f64 (*.f64 (/.f64 #s(literal 3 binary64) (pow.f64 x #s(literal -1/2 binary64))) (+.f64 (*.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) (*.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) (+.f64 y (/.f64 #s(literal 1/9 binary64) x)))) #s(literal -1 binary64))) (+.f64 (*.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) (+.f64 y (/.f64 #s(literal 1/9 binary64) x))) (+.f64 y (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)))))
(/.f64 (*.f64 (/.f64 #s(literal 3 binary64) (pow.f64 x #s(literal -1/2 binary64))) (+.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 y (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64))))
(/.f64 (/.f64 (+.f64 (*.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) (*.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) (+.f64 y (/.f64 #s(literal 1/9 binary64) x)))) #s(literal -1 binary64)) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) (+.f64 (*.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) (+.f64 y (/.f64 #s(literal 1/9 binary64) x))) (+.f64 y (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)))))
(/.f64 (/.f64 (+.f64 (*.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) (+.f64 y (/.f64 #s(literal 1/9 binary64) x))) #s(literal -1 binary64)) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) (+.f64 y (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64))))
(/.f64 (neg.f64 (*.f64 (/.f64 #s(literal 3 binary64) (pow.f64 x #s(literal -1/2 binary64))) (+.f64 (*.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) (*.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) (+.f64 y (/.f64 #s(literal 1/9 binary64) x)))) #s(literal -1 binary64)))) (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) (+.f64 y (/.f64 #s(literal 1/9 binary64) x))) (+.f64 y (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64))))))
(/.f64 (neg.f64 (*.f64 (/.f64 #s(literal 3 binary64) (pow.f64 x #s(literal -1/2 binary64))) (+.f64 (*.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) (+.f64 y (/.f64 #s(literal 1/9 binary64) x))) #s(literal -1 binary64)))) (-.f64 #s(literal 0 binary64) (+.f64 y (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (/.f64 (+.f64 (*.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) (*.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) (+.f64 y (/.f64 #s(literal 1/9 binary64) x)))) #s(literal -1 binary64)) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)))) (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) (+.f64 y (/.f64 #s(literal 1/9 binary64) x))) (+.f64 y (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64))))))
(/.f64 (neg.f64 (/.f64 (+.f64 (*.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) (+.f64 y (/.f64 #s(literal 1/9 binary64) x))) #s(literal -1 binary64)) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)))) (-.f64 #s(literal 0 binary64) (+.f64 y (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)))))
(/.f64 (+.f64 (pow.f64 (/.f64 (sqrt.f64 x) (/.f64 #s(literal 1/3 binary64) y)) #s(literal 3 binary64)) (pow.f64 (*.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))) #s(literal 3 binary64))) (+.f64 (*.f64 (/.f64 (sqrt.f64 x) (/.f64 #s(literal 1/3 binary64) y)) (/.f64 (sqrt.f64 x) (/.f64 #s(literal 1/3 binary64) y))) (-.f64 (*.f64 (*.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 #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 (sqrt.f64 x) (/.f64 #s(literal 1/3 binary64) y)) (*.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 (pow.f64 (/.f64 (sqrt.f64 x) (/.f64 #s(literal 1/3 binary64) y)) #s(literal 3 binary64)) (pow.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) #s(literal 3 binary64))) (+.f64 (*.f64 (/.f64 (sqrt.f64 x) (/.f64 #s(literal 1/3 binary64) y)) (/.f64 (sqrt.f64 x) (/.f64 #s(literal 1/3 binary64) y))) (-.f64 (*.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) (/.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)))) (*.f64 (/.f64 (sqrt.f64 x) (/.f64 #s(literal 1/3 binary64) y)) (/.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)))))))
(/.f64 (+.f64 (pow.f64 (*.f64 (/.f64 #s(literal 3 binary64) (pow.f64 x #s(literal -1/2 binary64))) (+.f64 y (/.f64 #s(literal 1/9 binary64) x))) #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 #s(literal 3 binary64) (pow.f64 x #s(literal -1/2 binary64))) #s(literal -1 binary64)) #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 (/.f64 #s(literal 3 binary64) (pow.f64 x #s(literal -1/2 binary64))) (+.f64 y (/.f64 #s(literal 1/9 binary64) x))) (*.f64 (/.f64 #s(literal 3 binary64) (pow.f64 x #s(literal -1/2 binary64))) (+.f64 y (/.f64 #s(literal 1/9 binary64) x)))) (-.f64 (*.f64 (*.f64 (/.f64 #s(literal 3 binary64) (pow.f64 x #s(literal -1/2 binary64))) #s(literal -1 binary64)) (*.f64 (/.f64 #s(literal 3 binary64) (pow.f64 x #s(literal -1/2 binary64))) #s(literal -1 binary64))) (*.f64 (*.f64 (/.f64 #s(literal 3 binary64) (pow.f64 x #s(literal -1/2 binary64))) (+.f64 y (/.f64 #s(literal 1/9 binary64) x))) (*.f64 (/.f64 #s(literal 3 binary64) (pow.f64 x #s(literal -1/2 binary64))) #s(literal -1 binary64))))))
(/.f64 (+.f64 (pow.f64 (/.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) #s(literal 3 binary64)) (pow.f64 (*.f64 (sqrt.f64 x) #s(literal -3 binary64)) #s(literal 3 binary64))) (+.f64 (*.f64 (/.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) (/.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)))) (-.f64 (*.f64 (*.f64 (sqrt.f64 x) #s(literal -3 binary64)) (*.f64 (sqrt.f64 x) #s(literal -3 binary64))) (*.f64 (/.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) (*.f64 (sqrt.f64 x) #s(literal -3 binary64))))))
(/.f64 (-.f64 (*.f64 (/.f64 (sqrt.f64 x) (/.f64 #s(literal 1/3 binary64) y)) (/.f64 (sqrt.f64 x) (/.f64 #s(literal 1/3 binary64) y))) (*.f64 (*.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 #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 (sqrt.f64 x) (/.f64 #s(literal 1/3 binary64) y)) (*.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 (/.f64 (sqrt.f64 x) (/.f64 #s(literal 1/3 binary64) y)) (/.f64 (sqrt.f64 x) (/.f64 #s(literal 1/3 binary64) y))) (*.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) (/.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x))))) (-.f64 (/.f64 (sqrt.f64 x) (/.f64 #s(literal 1/3 binary64) y)) (/.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)))))
(/.f64 (-.f64 (*.f64 (*.f64 (/.f64 #s(literal 3 binary64) (pow.f64 x #s(literal -1/2 binary64))) (+.f64 y (/.f64 #s(literal 1/9 binary64) x))) (*.f64 (/.f64 #s(literal 3 binary64) (pow.f64 x #s(literal -1/2 binary64))) (+.f64 y (/.f64 #s(literal 1/9 binary64) x)))) (*.f64 (*.f64 (/.f64 #s(literal 3 binary64) (pow.f64 x #s(literal -1/2 binary64))) #s(literal -1 binary64)) (*.f64 (/.f64 #s(literal 3 binary64) (pow.f64 x #s(literal -1/2 binary64))) #s(literal -1 binary64)))) (-.f64 (*.f64 (/.f64 #s(literal 3 binary64) (pow.f64 x #s(literal -1/2 binary64))) (+.f64 y (/.f64 #s(literal 1/9 binary64) x))) (*.f64 (/.f64 #s(literal 3 binary64) (pow.f64 x #s(literal -1/2 binary64))) #s(literal -1 binary64))))
(/.f64 (-.f64 (*.f64 (/.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) (/.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)))) (*.f64 (*.f64 (sqrt.f64 x) #s(literal -3 binary64)) (*.f64 (sqrt.f64 x) #s(literal -3 binary64)))) (-.f64 (/.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) (*.f64 (sqrt.f64 x) #s(literal -3 binary64))))
(*.f64 #s(literal 3 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) (+.f64 y #s(literal -1 binary64))) (pow.f64 x #s(literal -1/2 binary64))))
(*.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) x) (+.f64 y #s(literal -1 binary64)))))
(*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) (+.f64 y #s(literal -1 binary64))) (/.f64 #s(literal 3 binary64) (pow.f64 x #s(literal -1/2 binary64))))
(*.f64 (/.f64 #s(literal 3 binary64) (pow.f64 x #s(literal -1/2 binary64))) (+.f64 (/.f64 #s(literal 1/9 binary64) x) (+.f64 y #s(literal -1 binary64))))
(*.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) (+.f64 y #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) (+.f64 y #s(literal -1 binary64))) #s(literal 3 binary64)) (sqrt.f64 x))
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(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) #s(literal 1 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x))))
(/.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 x)) #s(literal -1/3 binary64))
(/.f64 (/.f64 #s(literal 3 binary64) (pow.f64 x #s(literal -1/2 binary64))) #s(literal 1 binary64))
(/.f64 (*.f64 (sqrt.f64 x) #s(literal -3 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal 3 binary64) (pow.f64 x #s(literal -1/2 binary64))) #s(literal 1 binary64))
(*.f64 #s(literal 3 binary64) (sqrt.f64 x))
(*.f64 (sqrt.f64 x) #s(literal 3 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) (pow.f64 x #s(literal -1/2 binary64))))
(*.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 x)) #s(literal -3 binary64))
(*.f64 (/.f64 #s(literal 3 binary64) (pow.f64 x #s(literal -1/2 binary64))) #s(literal 1 binary64))
(+.f64 #s(literal 1/9 binary64) (*.f64 x (+.f64 y #s(literal -1 binary64))))
(+.f64 #s(literal 1/9 binary64) (neg.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) y)))))
(+.f64 (*.f64 x (+.f64 y #s(literal -1 binary64))) #s(literal 1/9 binary64))
(+.f64 (*.f64 x y) (+.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 1/9 binary64)))
(+.f64 (/.f64 #s(literal 1/81 binary64) (-.f64 #s(literal 1/9 binary64) (*.f64 x (+.f64 y #s(literal -1 binary64))))) (neg.f64 (/.f64 (*.f64 (*.f64 x (+.f64 y #s(literal -1 binary64))) (*.f64 x (+.f64 y #s(literal -1 binary64)))) (-.f64 #s(literal 1/9 binary64) (*.f64 x (+.f64 y #s(literal -1 binary64)))))))
(+.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 x y)) (-.f64 #s(literal 0 binary64) x))
(+.f64 (neg.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) y)))) #s(literal 1/9 binary64))
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal -1/9 binary64) (*.f64 x (+.f64 y #s(literal -1 binary64)))))
(-.f64 (/.f64 #s(literal 1/81 binary64) (-.f64 #s(literal 1/9 binary64) (*.f64 x (+.f64 y #s(literal -1 binary64))))) (/.f64 (*.f64 (*.f64 x (+.f64 y #s(literal -1 binary64))) (*.f64 x (+.f64 y #s(literal -1 binary64)))) (-.f64 #s(literal 1/9 binary64) (*.f64 x (+.f64 y #s(literal -1 binary64))))))
(-.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 x y)) x)
(-.f64 (/.f64 (*.f64 (*.f64 x (+.f64 y #s(literal -1 binary64))) (*.f64 x (+.f64 y #s(literal -1 binary64)))) (+.f64 (*.f64 x (+.f64 y #s(literal -1 binary64))) #s(literal -1/9 binary64))) (/.f64 #s(literal 1/81 binary64) (+.f64 (*.f64 x (+.f64 y #s(literal -1 binary64))) #s(literal -1/9 binary64))))
(fma.f64 x y (+.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 1/9 binary64)))
(fma.f64 x (+.f64 y #s(literal -1 binary64)) #s(literal 1/9 binary64))
(fma.f64 y x (+.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 1/9 binary64)))
(fma.f64 (+.f64 y #s(literal -1 binary64)) x #s(literal 1/9 binary64))
(neg.f64 (-.f64 #s(literal -1/9 binary64) (*.f64 x (+.f64 y #s(literal -1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1/9 binary64) (*.f64 x (+.f64 y #s(literal -1 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1/9 binary64) (*.f64 x (+.f64 y #s(literal -1 binary64))))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 (*.f64 x (+.f64 y #s(literal -1 binary64))) (*.f64 x (+.f64 y #s(literal -1 binary64)))) (+.f64 #s(literal 1/81 binary64) (*.f64 (*.f64 x (+.f64 y #s(literal -1 binary64))) #s(literal -1/9 binary64)))) (+.f64 #s(literal 1/729 binary64) (*.f64 (*.f64 x (+.f64 y #s(literal -1 binary64))) (*.f64 (*.f64 x (+.f64 y #s(literal -1 binary64))) (*.f64 x (+.f64 y #s(literal -1 binary64))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 x (+.f64 y #s(literal -1 binary64))) #s(literal -1/9 binary64)) (+.f64 (*.f64 (*.f64 x (+.f64 y #s(literal -1 binary64))) (*.f64 x (+.f64 y #s(literal -1 binary64)))) #s(literal -1/81 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1/9 binary64) (*.f64 x (+.f64 y #s(literal -1 binary64)))))))
(/.f64 (+.f64 #s(literal 1/729 binary64) (*.f64 (*.f64 x (+.f64 y #s(literal -1 binary64))) (*.f64 (*.f64 x (+.f64 y #s(literal -1 binary64))) (*.f64 x (+.f64 y #s(literal -1 binary64)))))) (+.f64 #s(literal 1/81 binary64) (*.f64 (*.f64 x (+.f64 y #s(literal -1 binary64))) (+.f64 (*.f64 x (+.f64 y #s(literal -1 binary64))) #s(literal -1/9 binary64)))))
(/.f64 (+.f64 #s(literal 1/729 binary64) (*.f64 (*.f64 x (+.f64 y #s(literal -1 binary64))) (*.f64 (*.f64 x (+.f64 y #s(literal -1 binary64))) (*.f64 x (+.f64 y #s(literal -1 binary64)))))) (+.f64 (*.f64 (*.f64 x (+.f64 y #s(literal -1 binary64))) (*.f64 x (+.f64 y #s(literal -1 binary64)))) (+.f64 #s(literal 1/81 binary64) (*.f64 (*.f64 x (+.f64 y #s(literal -1 binary64))) #s(literal -1/9 binary64)))))
(/.f64 (-.f64 #s(literal 1/81 binary64) (*.f64 (*.f64 x (+.f64 y #s(literal -1 binary64))) (*.f64 x (+.f64 y #s(literal -1 binary64))))) (-.f64 #s(literal 1/9 binary64) (*.f64 x (+.f64 y #s(literal -1 binary64)))))
(/.f64 (+.f64 #s(literal -1/729 binary64) (neg.f64 (*.f64 (*.f64 x (+.f64 y #s(literal -1 binary64))) (*.f64 (*.f64 x (+.f64 y #s(literal -1 binary64))) (*.f64 x (+.f64 y #s(literal -1 binary64))))))) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/81 binary64) (*.f64 (*.f64 x (+.f64 y #s(literal -1 binary64))) (+.f64 (*.f64 x (+.f64 y #s(literal -1 binary64))) #s(literal -1/9 binary64))))))
(/.f64 (+.f64 #s(literal -1/729 binary64) (neg.f64 (*.f64 (*.f64 x (+.f64 y #s(literal -1 binary64))) (*.f64 (*.f64 x (+.f64 y #s(literal -1 binary64))) (*.f64 x (+.f64 y #s(literal -1 binary64))))))) (neg.f64 (+.f64 (*.f64 (*.f64 x (+.f64 y #s(literal -1 binary64))) (*.f64 x (+.f64 y #s(literal -1 binary64)))) (+.f64 #s(literal 1/81 binary64) (*.f64 (*.f64 x (+.f64 y #s(literal -1 binary64))) #s(literal -1/9 binary64))))))
(/.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1/81 binary64) (*.f64 (*.f64 x (+.f64 y #s(literal -1 binary64))) (*.f64 x (+.f64 y #s(literal -1 binary64)))))) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1/9 binary64) (*.f64 x (+.f64 y #s(literal -1 binary64))))))
(/.f64 (+.f64 (*.f64 (*.f64 x (+.f64 y #s(literal -1 binary64))) (*.f64 x (+.f64 y #s(literal -1 binary64)))) #s(literal -1/81 binary64)) (+.f64 (*.f64 x (+.f64 y #s(literal -1 binary64))) #s(literal -1/9 binary64)))
(/.f64 (-.f64 (*.f64 #s(literal 1/81 binary64) (-.f64 #s(literal 1/9 binary64) (*.f64 x (+.f64 y #s(literal -1 binary64))))) (*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 x (+.f64 y #s(literal -1 binary64)))) (*.f64 (*.f64 x (+.f64 y #s(literal -1 binary64))) (*.f64 x (+.f64 y #s(literal -1 binary64)))))) (*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 x (+.f64 y #s(literal -1 binary64)))) (-.f64 #s(literal 1/9 binary64) (*.f64 x (+.f64 y #s(literal -1 binary64))))))
(/.f64 (neg.f64 (+.f64 #s(literal -1/729 binary64) (neg.f64 (*.f64 (*.f64 x (+.f64 y #s(literal -1 binary64))) (*.f64 (*.f64 x (+.f64 y #s(literal -1 binary64))) (*.f64 x (+.f64 y #s(literal -1 binary64)))))))) (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/81 binary64) (*.f64 (*.f64 x (+.f64 y #s(literal -1 binary64))) (+.f64 (*.f64 x (+.f64 y #s(literal -1 binary64))) #s(literal -1/9 binary64)))))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1/81 binary64) (*.f64 (*.f64 x (+.f64 y #s(literal -1 binary64))) (*.f64 x (+.f64 y #s(literal -1 binary64))))))) (neg.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1/9 binary64) (*.f64 x (+.f64 y #s(literal -1 binary64)))))))
(/.f64 (neg.f64 (+.f64 (*.f64 (*.f64 x (+.f64 y #s(literal -1 binary64))) (*.f64 x (+.f64 y #s(literal -1 binary64)))) #s(literal -1/81 binary64))) (neg.f64 (+.f64 (*.f64 x (+.f64 y #s(literal -1 binary64))) #s(literal -1/9 binary64))))
(/.f64 (+.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 x (*.f64 x x))) (pow.f64 (+.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 1/9 binary64)) #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 y y) (*.f64 x x)) (-.f64 (*.f64 (+.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 1/9 binary64)) (+.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 1/9 binary64))) (*.f64 (*.f64 x y) (+.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 1/9 binary64))))))
(/.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 x y)) #s(literal 3 binary64)) (neg.f64 (*.f64 x (*.f64 x x)))) (+.f64 (*.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 x y)) (+.f64 #s(literal 1/9 binary64) (*.f64 x y))) (-.f64 (*.f64 x x) (*.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 x y)) (-.f64 #s(literal 0 binary64) x)))))
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1/81 binary64) (-.f64 #s(literal 1/9 binary64) (*.f64 x (+.f64 y #s(literal -1 binary64))))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 (*.f64 x (+.f64 y #s(literal -1 binary64))) (*.f64 x (+.f64 y #s(literal -1 binary64)))) (-.f64 #s(literal 1/9 binary64) (*.f64 x (+.f64 y #s(literal -1 binary64))))) #s(literal 3 binary64))) (+.f64 (*.f64 (/.f64 #s(literal 1/81 binary64) (-.f64 #s(literal 1/9 binary64) (*.f64 x (+.f64 y #s(literal -1 binary64))))) (/.f64 #s(literal 1/81 binary64) (-.f64 #s(literal 1/9 binary64) (*.f64 x (+.f64 y #s(literal -1 binary64)))))) (+.f64 (*.f64 (/.f64 (*.f64 (*.f64 x (+.f64 y #s(literal -1 binary64))) (*.f64 x (+.f64 y #s(literal -1 binary64)))) (-.f64 #s(literal 1/9 binary64) (*.f64 x (+.f64 y #s(literal -1 binary64))))) (/.f64 (*.f64 (*.f64 x (+.f64 y #s(literal -1 binary64))) (*.f64 x (+.f64 y #s(literal -1 binary64)))) (-.f64 #s(literal 1/9 binary64) (*.f64 x (+.f64 y #s(literal -1 binary64)))))) (*.f64 (/.f64 #s(literal 1/81 binary64) (-.f64 #s(literal 1/9 binary64) (*.f64 x (+.f64 y #s(literal -1 binary64))))) (/.f64 (*.f64 (*.f64 x (+.f64 y #s(literal -1 binary64))) (*.f64 x (+.f64 y #s(literal -1 binary64)))) (-.f64 #s(literal 1/9 binary64) (*.f64 x (+.f64 y #s(literal -1 binary64)))))))))
(/.f64 (-.f64 (*.f64 (*.f64 y y) (*.f64 x x)) (*.f64 (+.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 1/9 binary64)) (+.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 1/9 binary64)))) (-.f64 (*.f64 x y) (+.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 1/9 binary64))))
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 x y)) (+.f64 #s(literal 1/9 binary64) (*.f64 x y))) (*.f64 x x)) (-.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 x y)) (-.f64 #s(literal 0 binary64) x)))
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal 1/81 binary64) (-.f64 #s(literal 1/9 binary64) (*.f64 x (+.f64 y #s(literal -1 binary64))))) (/.f64 #s(literal 1/81 binary64) (-.f64 #s(literal 1/9 binary64) (*.f64 x (+.f64 y #s(literal -1 binary64)))))) (*.f64 (/.f64 (*.f64 (*.f64 x (+.f64 y #s(literal -1 binary64))) (*.f64 x (+.f64 y #s(literal -1 binary64)))) (-.f64 #s(literal 1/9 binary64) (*.f64 x (+.f64 y #s(literal -1 binary64))))) (/.f64 (*.f64 (*.f64 x (+.f64 y #s(literal -1 binary64))) (*.f64 x (+.f64 y #s(literal -1 binary64)))) (-.f64 #s(literal 1/9 binary64) (*.f64 x (+.f64 y #s(literal -1 binary64))))))) (+.f64 (/.f64 #s(literal 1/81 binary64) (-.f64 #s(literal 1/9 binary64) (*.f64 x (+.f64 y #s(literal -1 binary64))))) (/.f64 (*.f64 (*.f64 x (+.f64 y #s(literal -1 binary64))) (*.f64 x (+.f64 y #s(literal -1 binary64)))) (-.f64 #s(literal 1/9 binary64) (*.f64 x (+.f64 y #s(literal -1 binary64)))))))
(pow.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1/9 binary64) (*.f64 x (+.f64 y #s(literal -1 binary64))))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/9 binary64) (*.f64 x (+.f64 y #s(literal -1 binary64)))))
(*.f64 #s(literal -1 binary64) (-.f64 #s(literal -1/9 binary64) (*.f64 x (+.f64 y #s(literal -1 binary64)))))
(*.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 x (+.f64 y #s(literal -1 binary64)))) #s(literal 1 binary64))
(*.f64 (+.f64 #s(literal 1/729 binary64) (*.f64 (*.f64 x (+.f64 y #s(literal -1 binary64))) (*.f64 (*.f64 x (+.f64 y #s(literal -1 binary64))) (*.f64 x (+.f64 y #s(literal -1 binary64)))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/81 binary64) (*.f64 (*.f64 x (+.f64 y #s(literal -1 binary64))) (+.f64 (*.f64 x (+.f64 y #s(literal -1 binary64))) #s(literal -1/9 binary64))))))
(*.f64 (+.f64 #s(literal 1/729 binary64) (*.f64 (*.f64 x (+.f64 y #s(literal -1 binary64))) (*.f64 (*.f64 x (+.f64 y #s(literal -1 binary64))) (*.f64 x (+.f64 y #s(literal -1 binary64)))))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (*.f64 x (+.f64 y #s(literal -1 binary64))) (*.f64 x (+.f64 y #s(literal -1 binary64)))) (+.f64 #s(literal 1/81 binary64) (*.f64 (*.f64 x (+.f64 y #s(literal -1 binary64))) #s(literal -1/9 binary64))))))
(*.f64 (-.f64 #s(literal 1/81 binary64) (*.f64 (*.f64 x (+.f64 y #s(literal -1 binary64))) (*.f64 x (+.f64 y #s(literal -1 binary64))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/9 binary64) (*.f64 x (+.f64 y #s(literal -1 binary64))))))
(*.f64 (+.f64 #s(literal -1/729 binary64) (neg.f64 (*.f64 (*.f64 x (+.f64 y #s(literal -1 binary64))) (*.f64 (*.f64 x (+.f64 y #s(literal -1 binary64))) (*.f64 x (+.f64 y #s(literal -1 binary64))))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/81 binary64) (*.f64 (*.f64 x (+.f64 y #s(literal -1 binary64))) (+.f64 (*.f64 x (+.f64 y #s(literal -1 binary64))) #s(literal -1/9 binary64)))))))
(*.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1/81 binary64) (*.f64 (*.f64 x (+.f64 y #s(literal -1 binary64))) (*.f64 x (+.f64 y #s(literal -1 binary64)))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1/9 binary64) (*.f64 x (+.f64 y #s(literal -1 binary64)))))))
(*.f64 (+.f64 (*.f64 (*.f64 x (+.f64 y #s(literal -1 binary64))) (*.f64 x (+.f64 y #s(literal -1 binary64)))) #s(literal -1/81 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x (+.f64 y #s(literal -1 binary64))) #s(literal -1/9 binary64))))

simplify299.0ms (2.5%)

Algorithm
1×egg-herbie
Rules
3586×*-lowering-*.f32
3586×*-lowering-*.f64
1418×fma-lowering-fma.f32
1418×fma-lowering-fma.f64
1374×fma-define
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01442111
14631997
216091995
352031995
085021995
Stop Event
1×iter limit
1×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 (/ 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 (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)))
(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)))
(* 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))
(* (sqrt x) y)
(* (sqrt x) y)
(* (sqrt x) y)
(* (sqrt x) y)
(* (sqrt x) y)
(* (sqrt x) y)
(* (sqrt x) y)
(* (sqrt x) y)
(* -1 (* (sqrt x) (* y (pow (sqrt -1) 2))))
(* -1 (* (sqrt x) (* y (pow (sqrt -1) 2))))
(* -1 (* (sqrt x) (* y (pow (sqrt -1) 2))))
(* -1 (* (sqrt x) (* y (pow (sqrt -1) 2))))
(* (sqrt x) y)
(* (sqrt x) y)
(* (sqrt x) y)
(* (sqrt x) y)
(* (sqrt x) y)
(* (sqrt x) y)
(* (sqrt x) y)
(* (sqrt x) y)
(* (sqrt x) y)
(* (sqrt x) y)
(* (sqrt x) y)
(* (sqrt x) y)
(* 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))
(/ 1/3 y)
(/ 1/3 y)
(/ 1/3 y)
(/ 1/3 y)
(/ 1/3 y)
(/ 1/3 y)
(/ 1/3 y)
(/ 1/3 y)
(/ 1/3 y)
(/ 1/3 y)
(/ 1/3 y)
(/ 1/3 y)
(* 3 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 (/ 1 x)) (+ 1/9 (* -1 x))))
(+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt (/ 1 x)) (+ 1/9 (* -1 x)))))
(+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt (/ 1 x)) (+ 1/9 (* -1 x)))))
(+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt (/ 1 x)) (+ 1/9 (* -1 x)))))
(* 3 (* (sqrt x) y))
(* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt (/ 1 x)) (/ (+ 1/9 (* -1 x)) y)))))
(* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt (/ 1 x)) (/ (+ 1/9 (* -1 x)) y)))))
(* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt (/ 1 x)) (/ (+ 1/9 (* -1 x)) y)))))
(* 3 (* (sqrt x) y))
(* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt (/ 1 x)) (/ (+ 1/9 (* -1 x)) y))))))
(* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt (/ 1 x)) (/ (+ 1/9 (* -1 x)) y))))))
(* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt (/ 1 x)) (/ (+ 1/9 (* -1 x)) 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 (/ 1 x)) (+ 1/9 (* -1 x)))
(+ (* (sqrt x) y) (* (sqrt (/ 1 x)) (+ 1/9 (* -1 x))))
(+ (* (sqrt x) y) (* (sqrt (/ 1 x)) (+ 1/9 (* -1 x))))
(+ (* (sqrt x) y) (* (sqrt (/ 1 x)) (+ 1/9 (* -1 x))))
(* (sqrt x) y)
(* y (+ (sqrt x) (* (sqrt (/ 1 x)) (/ (+ 1/9 (* -1 x)) y))))
(* y (+ (sqrt x) (* (sqrt (/ 1 x)) (/ (+ 1/9 (* -1 x)) y))))
(* y (+ (sqrt x) (* (sqrt (/ 1 x)) (/ (+ 1/9 (* -1 x)) y))))
(* (sqrt x) y)
(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (* (sqrt (/ 1 x)) (/ (+ 1/9 (* -1 x)) y))))))
(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (* (sqrt (/ 1 x)) (/ (+ 1/9 (* -1 x)) y))))))
(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (* (sqrt (/ 1 x)) (/ (+ 1/9 (* -1 x)) y))))))
(/ 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 (* -1 x)) x)
(+ -1 (+ y (* 1/9 (/ 1 x))))
(+ -1 (+ y (* 1/9 (/ 1 x))))
(+ -1 (+ y (* 1/9 (/ 1 x))))
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)))
(* 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)))
1/9
(+ 1/9 (* x (- y 1)))
(+ 1/9 (* x (- y 1)))
(+ 1/9 (* x (- y 1)))
(* x (- y 1))
(* x (- (+ y (* 1/9 (/ 1 x))) 1))
(* x (- (+ y (* 1/9 (/ 1 x))) 1))
(* x (- (+ y (* 1/9 (/ 1 x))) 1))
(* x (- y 1))
(* -1 (* x (- (* -1 (- y 1)) (* 1/9 (/ 1 x)))))
(* -1 (* x (- (* -1 (- y 1)) (* 1/9 (/ 1 x)))))
(* -1 (* x (- (* -1 (- y 1)) (* 1/9 (/ 1 x)))))
(+ 1/9 (* -1 x))
(+ 1/9 (+ (* -1 x) (* x y)))
(+ 1/9 (+ (* -1 x) (* x y)))
(+ 1/9 (+ (* -1 x) (* x y)))
(* x y)
(* y (+ x (+ (* -1 (/ x y)) (* 1/9 (/ 1 y)))))
(* y (+ x (+ (* -1 (/ x y)) (* 1/9 (/ 1 y)))))
(* y (+ x (+ (* -1 (/ x y)) (* 1/9 (/ 1 y)))))
(* x y)
(* -1 (* y (+ (* -1 x) (* -1 (/ (+ 1/9 (* -1 x)) y)))))
(* -1 (* y (+ (* -1 x) (* -1 (/ (+ 1/9 (* -1 x)) y)))))
(* -1 (* y (+ (* -1 x) (* -1 (/ (+ 1/9 (* -1 x)) 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 (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 (/.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 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 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 3 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 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 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 3 binary64) y)))))
(* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1)))
(*.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) (+.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)) (* 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 (/ 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 (+.f64 #s(literal 1/9 binary64) (*.f64 x y)) x) #s(literal 1 binary64))
(/ (+ 1/9 (* x (- y 1))) x)
(-.f64 (/.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 x y)) x) #s(literal 1 binary64))
(/ (+ 1/9 (* x (- y 1))) x)
(-.f64 (/.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 x y)) x) #s(literal 1 binary64))
(- 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 #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))
(/ 1/9 x)
(/.f64 #s(literal 1/9 binary64) x)
(/ 1/9 x)
(/.f64 #s(literal 1/9 binary64) x)
(/ 1/9 x)
(/.f64 #s(literal 1/9 binary64) x)
(/ 1/9 x)
(/.f64 #s(literal 1/9 binary64) x)
(/ 1/9 x)
(/.f64 #s(literal 1/9 binary64) x)
(/ 1/9 x)
(/.f64 #s(literal 1/9 binary64) x)
(/ 1/9 x)
(/.f64 #s(literal 1/9 binary64) x)
(/ 1/9 x)
(/.f64 #s(literal 1/9 binary64) x)
(/ 1/9 x)
(/.f64 #s(literal 1/9 binary64) x)
(/ 1/9 x)
(/.f64 #s(literal 1/9 binary64) x)
(/ 1/9 x)
(/.f64 #s(literal 1/9 binary64) x)
(/ 1/9 x)
(/.f64 #s(literal 1/9 binary64) x)
(* 1/3 (sqrt (/ 1 x)))
(*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(* 1/3 (sqrt (/ 1 x)))
(*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(* 1/3 (sqrt (/ 1 x)))
(*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(* 1/3 (sqrt (/ 1 x)))
(*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(* 1/3 (sqrt (/ 1 x)))
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(+.f64 (*.f64 (sqrt.f64 x) y) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1/9 binary64) x)))
(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (* (sqrt (/ 1 x)) (/ (+ 1/9 (* -1 x)) y))))))
(+.f64 (*.f64 (sqrt.f64 x) y) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1/9 binary64) x)))
(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (* (sqrt (/ 1 x)) (/ (+ 1/9 (* -1 x)) y))))))
(+.f64 (*.f64 (sqrt.f64 x) y) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (-.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 (+.f64 #s(literal 1/9 binary64) (*.f64 x y)) x) #s(literal 1 binary64))
(/ (+ 1/9 (* x (- y 1))) x)
(-.f64 (/.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 x y)) x) #s(literal 1 binary64))
(/ (+ 1/9 (* x (- y 1))) x)
(-.f64 (/.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 x y)) x) #s(literal 1 binary64))
(- 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 (* -1 x)) x)
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/9 binary64) x))
(+ -1 (+ y (* 1/9 (/ 1 x))))
(+.f64 y (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/9 binary64) x)))
(+ -1 (+ y (* 1/9 (/ 1 x))))
(+.f64 y (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/9 binary64) x)))
(+ -1 (+ y (* 1/9 (/ 1 x))))
(+.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)))
(* 3 (sqrt x))
(*.f64 (sqrt.f64 x) #s(literal 3 binary64))
(* 3 (sqrt x))
(*.f64 (sqrt.f64 x) #s(literal 3 binary64))
(* 3 (sqrt x))
(*.f64 (sqrt.f64 x) #s(literal 3 binary64))
(* 3 (sqrt x))
(*.f64 (sqrt.f64 x) #s(literal 3 binary64))
(* 3 (sqrt x))
(*.f64 (sqrt.f64 x) #s(literal 3 binary64))
(* 3 (sqrt x))
(*.f64 (sqrt.f64 x) #s(literal 3 binary64))
(* 3 (sqrt x))
(*.f64 (sqrt.f64 x) #s(literal 3 binary64))
(* 3 (sqrt x))
(*.f64 (sqrt.f64 x) #s(literal 3 binary64))
(* -3 (* (sqrt x) (pow (sqrt -1) 2)))
(*.f64 (sqrt.f64 x) #s(literal 3 binary64))
(* -3 (* (sqrt x) (pow (sqrt -1) 2)))
(*.f64 (sqrt.f64 x) #s(literal 3 binary64))
(* -3 (* (sqrt x) (pow (sqrt -1) 2)))
(*.f64 (sqrt.f64 x) #s(literal 3 binary64))
(* -3 (* (sqrt x) (pow (sqrt -1) 2)))
(*.f64 (sqrt.f64 x) #s(literal 3 binary64))
1/9
#s(literal 1/9 binary64)
(+ 1/9 (* x (- y 1)))
(+.f64 #s(literal 1/9 binary64) (*.f64 x (+.f64 y #s(literal -1 binary64))))
(+ 1/9 (* x (- y 1)))
(+.f64 #s(literal 1/9 binary64) (*.f64 x (+.f64 y #s(literal -1 binary64))))
(+ 1/9 (* x (- y 1)))
(+.f64 #s(literal 1/9 binary64) (*.f64 x (+.f64 y #s(literal -1 binary64))))
(* x (- y 1))
(*.f64 x (+.f64 y #s(literal -1 binary64)))
(* x (- (+ y (* 1/9 (/ 1 x))) 1))
(+.f64 #s(literal 1/9 binary64) (*.f64 x (+.f64 y #s(literal -1 binary64))))
(* x (- (+ y (* 1/9 (/ 1 x))) 1))
(+.f64 #s(literal 1/9 binary64) (*.f64 x (+.f64 y #s(literal -1 binary64))))
(* x (- (+ y (* 1/9 (/ 1 x))) 1))
(+.f64 #s(literal 1/9 binary64) (*.f64 x (+.f64 y #s(literal -1 binary64))))
(* x (- y 1))
(*.f64 x (+.f64 y #s(literal -1 binary64)))
(* -1 (* x (- (* -1 (- y 1)) (* 1/9 (/ 1 x)))))
(+.f64 #s(literal 1/9 binary64) (*.f64 x (+.f64 y #s(literal -1 binary64))))
(* -1 (* x (- (* -1 (- y 1)) (* 1/9 (/ 1 x)))))
(+.f64 #s(literal 1/9 binary64) (*.f64 x (+.f64 y #s(literal -1 binary64))))
(* -1 (* x (- (* -1 (- y 1)) (* 1/9 (/ 1 x)))))
(+.f64 #s(literal 1/9 binary64) (*.f64 x (+.f64 y #s(literal -1 binary64))))
(+ 1/9 (* -1 x))
(-.f64 #s(literal 1/9 binary64) x)
(+ 1/9 (+ (* -1 x) (* x y)))
(+.f64 #s(literal 1/9 binary64) (*.f64 x (+.f64 y #s(literal -1 binary64))))
(+ 1/9 (+ (* -1 x) (* x y)))
(+.f64 #s(literal 1/9 binary64) (*.f64 x (+.f64 y #s(literal -1 binary64))))
(+ 1/9 (+ (* -1 x) (* x y)))
(+.f64 #s(literal 1/9 binary64) (*.f64 x (+.f64 y #s(literal -1 binary64))))
(* x y)
(*.f64 x y)
(* y (+ x (+ (* -1 (/ x y)) (* 1/9 (/ 1 y)))))
(+.f64 #s(literal 1/9 binary64) (*.f64 x (+.f64 y #s(literal -1 binary64))))
(* y (+ x (+ (* -1 (/ x y)) (* 1/9 (/ 1 y)))))
(+.f64 #s(literal 1/9 binary64) (*.f64 x (+.f64 y #s(literal -1 binary64))))
(* y (+ x (+ (* -1 (/ x y)) (* 1/9 (/ 1 y)))))
(+.f64 #s(literal 1/9 binary64) (*.f64 x (+.f64 y #s(literal -1 binary64))))
(* x y)
(*.f64 x y)
(* -1 (* y (+ (* -1 x) (* -1 (/ (+ 1/9 (* -1 x)) y)))))
(+.f64 #s(literal 1/9 binary64) (*.f64 x (+.f64 y #s(literal -1 binary64))))
(* -1 (* y (+ (* -1 x) (* -1 (/ (+ 1/9 (* -1 x)) y)))))
(+.f64 #s(literal 1/9 binary64) (*.f64 x (+.f64 y #s(literal -1 binary64))))
(* -1 (* y (+ (* -1 x) (* -1 (/ (+ 1/9 (* -1 x)) y)))))
(+.f64 #s(literal 1/9 binary64) (*.f64 x (+.f64 y #s(literal -1 binary64))))

eval116.0ms (1%)

Compiler

Compiled 18233 to 2087 computations (88.6% saved)

prune138.0ms (1.2%)

Pruning

27 alts after pruning (24 fresh and 3 done)

PrunedKeptTotal
New1008111019
Fresh121325
Picked325
Done112
Total1024271051
Accuracy
100.0%
Counts
1051 → 27
Alt Table
Click to see full alt table
StatusAccuracyProgram
41.7%
(/.f64 (/.f64 y #s(literal 1/3 binary64)) (pow.f64 x #s(literal -1/2 binary64)))
▶99.4%
(/.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) (+.f64 y #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 x #s(literal -1/2 binary64)))
33.9%
(/.f64 (*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) #s(literal -1/9 binary64)) (-.f64 #s(literal 0 binary64) x))
34.0%
(/.f64 (*.f64 (sqrt.f64 x) #s(literal 1/3 binary64)) x)
59.2%
(/.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64))))
41.7%
(/.f64 (sqrt.f64 x) (/.f64 #s(literal 1/3 binary64) y))
34.0%
(/.f64 (sqrt.f64 x) (*.f64 x #s(literal 3 binary64)))
41.7%
(/.f64 y (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)))
95.6%
(/.f64 #s(literal 3 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 x (+.f64 y #s(literal -1 binary64)))) (pow.f64 x #s(literal -1/2 binary64)))))
✓34.0%
(/.f64 #s(literal 1/3 binary64) (sqrt.f64 x))
▶34.0%
(/.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) #s(literal -3 binary64)))
▶34.0%
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1/3 binary64))
▶41.7%
(*.f64 (/.f64 y (pow.f64 x #s(literal -1/2 binary64))) #s(literal 3 binary64))
41.7%
(*.f64 (/.f64 y #s(literal 1/3 binary64)) (sqrt.f64 x))
41.8%
(*.f64 (/.f64 #s(literal 3 binary64) (pow.f64 x #s(literal -1/2 binary64))) y)
41.7%
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) y) #s(literal 3 binary64))
▶59.3%
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1/9 binary64) x)) #s(literal 3 binary64))
✓99.5%
(*.f64 (*.f64 (sqrt.f64 x) (+.f64 y (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)))) #s(literal 3 binary64))
66.5%
(*.f64 (*.f64 (sqrt.f64 x) (+.f64 y #s(literal -1 binary64))) #s(literal 3 binary64))
✓41.7%
(*.f64 (*.f64 (sqrt.f64 x) y) #s(literal 3 binary64))
66.6%
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 y #s(literal 1 binary64)))
41.7%
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) y)
59.3%
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 3 binary64) (-.f64 #s(literal 1/9 binary64) x)))
2.7%
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/3 binary64))
34.0%
(*.f64 (sqrt.f64 x) (/.f64 #s(literal 1/3 binary64) x))
59.3%
(*.f64 (sqrt.f64 x) (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64)))
41.8%
(*.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) y))
Compiler

Compiled 500 to 398 computations (20.4% saved)

simplify148.0ms (1.2%)

Algorithm
1×egg-herbie
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(/.f64 #s(literal 1 binary64) x)
✓cost-diff0
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
✓cost-diff0
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1/9 binary64) x))
✓cost-diff0
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1/9 binary64) x)) #s(literal 3 binary64))
✓cost-diff0
(pow.f64 x #s(literal -1/2 binary64))
✓cost-diff0
(/.f64 y (pow.f64 x #s(literal -1/2 binary64)))
✓cost-diff0
(*.f64 (/.f64 y (pow.f64 x #s(literal -1/2 binary64))) #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
(/.f64 #s(literal 1/9 binary64) x)
✓cost-diff0
(+.f64 (/.f64 #s(literal 1/9 binary64) x) (+.f64 y #s(literal -1 binary64)))
✓cost-diff0
(*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) (+.f64 y #s(literal -1 binary64))) #s(literal 3 binary64))
✓cost-diff0
(/.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) (+.f64 y #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 x #s(literal -1/2 binary64)))
Rules
1700×fma-define
1628×fnmadd-define
1604×sum5-define
1460×*-lowering-*.f32
1460×*-lowering-*.f64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
026117
149112
297112
3212112
4383111
5562111
6797111
71228111
82206111
93735111
107989111
08129111
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(/ (* (+ (/ 1/9 x) (+ y -1)) 3) (pow x -1/2))
(* (+ (/ 1/9 x) (+ y -1)) 3)
(+ (/ 1/9 x) (+ y -1))
(/ 1/9 x)
1/9
x
(+ y -1)
y
-1
3
(pow x -1/2)
-1/2
(* (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
(* (/ y (pow x -1/2)) 3)
(/ y (pow x -1/2))
y
(pow x -1/2)
x
-1/2
3
(* (* (sqrt (/ 1 x)) (- 1/9 x)) 3)
(* (sqrt (/ 1 x)) (- 1/9 x))
(sqrt (/ 1 x))
(/ 1 x)
1
x
(- 1/9 x)
1/9
3
Outputs
(/ (* (+ (/ 1/9 x) (+ y -1)) 3) (pow x -1/2))
(/.f64 (+.f64 #s(literal -3 binary64) (*.f64 #s(literal -3 binary64) (-.f64 (/.f64 #s(literal -1/9 binary64) x) y))) (pow.f64 x #s(literal -1/2 binary64)))
(* (+ (/ 1/9 x) (+ y -1)) 3)
(+.f64 #s(literal -3 binary64) (*.f64 #s(literal -3 binary64) (-.f64 (/.f64 #s(literal -1/9 binary64) x) y)))
(+ (/ 1/9 x) (+ y -1))
(+.f64 y (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)))
(/ 1/9 x)
(/.f64 #s(literal 1/9 binary64) x)
1/9
#s(literal 1/9 binary64)
x
(+ y -1)
(+.f64 y #s(literal -1 binary64))
y
-1
#s(literal -1 binary64)
3
#s(literal 3 binary64)
(pow x -1/2)
(pow.f64 x #s(literal -1/2 binary64))
-1/2
#s(literal -1/2 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)
(* (/ y (pow x -1/2)) 3)
(*.f64 y (/.f64 #s(literal 3 binary64) (pow.f64 x #s(literal -1/2 binary64))))
(/ y (pow x -1/2))
(/.f64 y (pow.f64 x #s(literal -1/2 binary64)))
y
(pow x -1/2)
(pow.f64 x #s(literal -1/2 binary64))
x
-1/2
#s(literal -1/2 binary64)
3
#s(literal 3 binary64)
(* (* (sqrt (/ 1 x)) (- 1/9 x)) 3)
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -3 binary64))))
(* (sqrt (/ 1 x)) (- 1/9 x))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1/9 binary64) x))
(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
(- 1/9 x)
(-.f64 #s(literal 1/9 binary64) x)
1/9
#s(literal 1/9 binary64)
3
#s(literal 3 binary64)

localize143.0ms (1.2%)

Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(-.f64 #s(literal 1/9 binary64) x)
✓accuracy99.8%
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
✓accuracy99.5%
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1/9 binary64) x)) #s(literal 3 binary64))
✓accuracy99.4%
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1/9 binary64) x))
✓accuracy100.0%
(pow.f64 x #s(literal -1/2 binary64))
✓accuracy99.6%
(/.f64 y (pow.f64 x #s(literal -1/2 binary64)))
✓accuracy99.6%
(*.f64 (/.f64 y (pow.f64 x #s(literal -1/2 binary64))) #s(literal 3 binary64))
✓accuracy100.0%
(sqrt.f64 x)
✓accuracy99.6%
(/.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) #s(literal -3 binary64)))
✓accuracy99.5%
(*.f64 (sqrt.f64 x) #s(literal -3 binary64))
✓accuracy100.0%
(pow.f64 x #s(literal -1/2 binary64))
✓accuracy99.3%
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1/3 binary64))
✓accuracy100.0%
(+.f64 y #s(literal -1 binary64))
✓accuracy99.7%
(*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) (+.f64 y #s(literal -1 binary64))) #s(literal 3 binary64))
✓accuracy99.5%
(/.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) (+.f64 y #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 x #s(literal -1/2 binary64)))
✓accuracy99.4%
(/.f64 #s(literal 1/9 binary64) x)
Results
82.0ms221×0valid
17.0ms24×1valid
10.0ms11×2valid
Compiler

Compiled 124 to 27 computations (78.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 71.0ms
ival-mult: 25.0ms (35.2% of total)
ival-div: 11.0ms (15.5% of total)
ival-pow: 11.0ms (15.5% of total)
...c/correct-round.rkt:119:19: 9.0ms (12.7% of total)
ival-add: 6.0ms (8.5% of total)
ival-sqrt: 4.0ms (5.6% of total)
backward-pass: 2.0ms (2.8% of total)
ival-sub: 2.0ms (2.8% of total)
const: 1.0ms (1.4% of total)

series12.0ms (0.1%)

Counts
17 → 264
Calls
Call 1
Inputs
#<alt (/ (* (+ (/ 1/9 x) (+ y -1)) 3) (pow x -1/2))>
#<alt (* (+ (/ 1/9 x) (+ y -1)) 3)>
#<alt (+ (/ 1/9 x) (+ y -1))>
#<alt (/ 1/9 x)>
#<alt (* (pow x -1/2) 1/3)>
#<alt (pow x -1/2)>
#<alt (/ -1 (* (sqrt x) -3))>
#<alt (* (sqrt x) -3)>
#<alt (sqrt x)>
#<alt (* (/ y (pow x -1/2)) 3)>
#<alt (/ y (pow x -1/2))>
#<alt (* (* (sqrt (/ 1 x)) (- 1/9 x)) 3)>
#<alt (* (sqrt (/ 1 x)) (- 1/9 x))>
#<alt (sqrt (/ 1 x))>
#<alt (/ 1 x)>
#<alt (+ y -1)>
#<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 (/ 1/3 x)>
#<alt (/ (+ 1/3 (* 3 (* x (- y 1)))) x)>
#<alt (/ (+ 1/3 (* 3 (* x (- y 1)))) x)>
#<alt (/ (+ 1/3 (* 3 (* x (- y 1)))) x)>
#<alt (* 3 (- y 1))>
#<alt (+ (* 3 (- y 1)) (* 1/3 (/ 1 x)))>
#<alt (+ (* 3 (- y 1)) (* 1/3 (/ 1 x)))>
#<alt (+ (* 3 (- y 1)) (* 1/3 (/ 1 x)))>
#<alt (* 3 (- y 1))>
#<alt (+ (* 3 (- y 1)) (* 1/3 (/ 1 x)))>
#<alt (+ (* 3 (- y 1)) (* 1/3 (/ 1 x)))>
#<alt (+ (* 3 (- y 1)) (* 1/3 (/ 1 x)))>
#<alt (* 3 (- (* 1/9 (/ 1 x)) 1))>
#<alt (+ (* 3 y) (* 3 (- (* 1/9 (/ 1 x)) 1)))>
#<alt (+ (* 3 y) (* 3 (- (* 1/9 (/ 1 x)) 1)))>
#<alt (+ (* 3 y) (* 3 (- (* 1/9 (/ 1 x)) 1)))>
#<alt (* 3 y)>
#<alt (* y (+ 3 (* 3 (/ (- (* 1/9 (/ 1 x)) 1) y))))>
#<alt (* y (+ 3 (* 3 (/ (- (* 1/9 (/ 1 x)) 1) y))))>
#<alt (* y (+ 3 (* 3 (/ (- (* 1/9 (/ 1 x)) 1) y))))>
#<alt (* 3 y)>
#<alt (* -1 (* y (- (* -3 (/ (- (* 1/9 (/ 1 x)) 1) y)) 3)))>
#<alt (* -1 (* y (- (* -3 (/ (- (* 1/9 (/ 1 x)) 1) y)) 3)))>
#<alt (* -1 (* y (- (* -3 (/ (- (* 1/9 (/ 1 x)) 1) y)) 3)))>
#<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 (/ 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)>
#<alt (/ 1/9 x)>
#<alt (/ 1/9 x)>
#<alt (/ 1/9 x)>
#<alt (/ 1/9 x)>
#<alt (/ 1/9 x)>
#<alt (/ 1/9 x)>
#<alt (/ 1/9 x)>
#<alt (/ 1/9 x)>
#<alt (/ 1/9 x)>
#<alt (/ 1/9 x)>
#<alt (* 1/3 (sqrt (/ 1 x)))>
#<alt (* 1/3 (sqrt (/ 1 x)))>
#<alt (* 1/3 (sqrt (/ 1 x)))>
#<alt (* 1/3 (sqrt (/ 1 x)))>
#<alt (* 1/3 (sqrt (/ 1 x)))>
#<alt (* 1/3 (sqrt (/ 1 x)))>
#<alt (* 1/3 (sqrt (/ 1 x)))>
#<alt (* 1/3 (sqrt (/ 1 x)))>
#<alt (* 1/3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))>
#<alt (* 1/3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))>
#<alt (* 1/3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))>
#<alt (* 1/3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))>
#<alt (sqrt (/ 1 x))>
#<alt (sqrt (/ 1 x))>
#<alt (sqrt (/ 1 x))>
#<alt (sqrt (/ 1 x))>
#<alt (sqrt (/ 1 x))>
#<alt (sqrt (/ 1 x))>
#<alt (sqrt (/ 1 x))>
#<alt (sqrt (/ 1 x))>
#<alt (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))>
#<alt (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))>
#<alt (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))>
#<alt (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))>
#<alt (* 1/3 (sqrt (/ 1 x)))>
#<alt (* 1/3 (sqrt (/ 1 x)))>
#<alt (* 1/3 (sqrt (/ 1 x)))>
#<alt (* 1/3 (sqrt (/ 1 x)))>
#<alt (* 1/3 (sqrt (/ 1 x)))>
#<alt (* 1/3 (sqrt (/ 1 x)))>
#<alt (* 1/3 (sqrt (/ 1 x)))>
#<alt (* 1/3 (sqrt (/ 1 x)))>
#<alt (* 1/3 (sqrt (/ 1 x)))>
#<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 (* 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) y))>
#<alt (* 3 (* (sqrt x) y))>
#<alt (* 3 (* (sqrt x) y))>
#<alt (* 3 (* (sqrt x) y))>
#<alt (* 3 (* (sqrt x) y))>
#<alt (* 3 (* (sqrt x) y))>
#<alt (* 3 (* (sqrt x) y))>
#<alt (* 3 (* (sqrt x) y))>
#<alt (* -3 (* (sqrt x) y))>
#<alt (* -3 (* (sqrt x) y))>
#<alt (* -3 (* (sqrt x) y))>
#<alt (* -3 (* (sqrt x) y))>
#<alt (* (sqrt x) y)>
#<alt (* (sqrt x) y)>
#<alt (* (sqrt x) y)>
#<alt (* (sqrt x) y)>
#<alt (* (sqrt x) y)>
#<alt (* (sqrt x) y)>
#<alt (* (sqrt x) y)>
#<alt (* (sqrt x) y)>
#<alt (* (sqrt x) y)>
#<alt (* (sqrt x) y)>
#<alt (* (sqrt x) y)>
#<alt (* (sqrt x) y)>
#<alt (* (sqrt x) y)>
#<alt (* (sqrt x) y)>
#<alt (* (sqrt x) y)>
#<alt (* (sqrt x) y)>
#<alt (* (sqrt x) y)>
#<alt (* (sqrt x) y)>
#<alt (* (sqrt x) y)>
#<alt (* (sqrt x) y)>
#<alt (* -1 (* (sqrt x) y))>
#<alt (* -1 (* (sqrt x) y))>
#<alt (* -1 (* (sqrt x) y))>
#<alt (* -1 (* (sqrt x) y))>
#<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 (+ (* -1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))>
#<alt (* -1 (* x (+ (* -1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))>
#<alt (* -1 (* x (+ (* -1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))>
#<alt (* 1/9 (sqrt (/ 1 x)))>
#<alt (/ (+ (* -1 (sqrt (pow x 3))) (* 1/9 (sqrt x))) x)>
#<alt (/ (+ (* -1 (sqrt (pow x 3))) (* 1/9 (sqrt x))) x)>
#<alt (/ (+ (* -1 (sqrt (pow x 3))) (* 1/9 (sqrt x))) x)>
#<alt (* -1 (sqrt x))>
#<alt (* x (+ (* -1 (sqrt (/ 1 x))) (* 1/9 (sqrt (/ 1 (pow x 3))))))>
#<alt (* x (+ (* -1 (sqrt (/ 1 x))) (* 1/9 (sqrt (/ 1 (pow x 3))))))>
#<alt (* x (+ (* -1 (sqrt (/ 1 x))) (* 1/9 (sqrt (/ 1 (pow x 3))))))>
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* -1 (* x (+ (* -1/9 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))>
#<alt (* -1 (* x (+ (* -1/9 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))>
#<alt (* -1 (* x (+ (* -1/9 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* (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>
#<alt (- y 1)>
#<alt (- y 1)>
#<alt (- y 1)>
#<alt y>
#<alt (* y (- 1 (/ 1 y)))>
#<alt (* y (- 1 (/ 1 y)))>
#<alt (* y (- 1 (/ 1 y)))>
#<alt y>
#<alt (* -1 (* y (- (/ 1 y) 1)))>
#<alt (* -1 (* y (- (/ 1 y) 1)))>
#<alt (* -1 (* y (- (/ 1 y) 1)))>
#<alt 1/9>
#<alt (+ 1/9 (* -1 x))>
#<alt (+ 1/9 (* -1 x))>
#<alt (+ 1/9 (* -1 x))>
#<alt (* -1 x)>
#<alt (* x (- (* 1/9 (/ 1 x)) 1))>
#<alt (* x (- (* 1/9 (/ 1 x)) 1))>
#<alt (* x (- (* 1/9 (/ 1 x)) 1))>
#<alt (* -1 x)>
#<alt (* -1 (* x (- 1 (* 1/9 (/ 1 x)))))>
#<alt (* -1 (* x (- 1 (* 1/9 (/ 1 x)))))>
#<alt (* -1 (* x (- 1 (* 1/9 (/ 1 x)))))>
Calls

66 calls:

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

rewrite308.0ms (2.6%)

Algorithm
1×batch-egg-rewrite
Rules
4522×/-lowering-/.f32
4522×/-lowering-/.f64
4458×*-lowering-*.f32
4458×*-lowering-*.f64
1738×--lowering--.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
02690
113178
2101778
0818278
Stop Event
1×iter limit
1×node limit
Counts
17 → 666
Calls
Call 1
Inputs
(/ (* (+ (/ 1/9 x) (+ y -1)) 3) (pow x -1/2))
(* (+ (/ 1/9 x) (+ y -1)) 3)
(+ (/ 1/9 x) (+ y -1))
(/ 1/9 x)
(* (pow x -1/2) 1/3)
(pow x -1/2)
(/ -1 (* (sqrt x) -3))
(* (sqrt x) -3)
(sqrt x)
(* (/ y (pow x -1/2)) 3)
(/ y (pow x -1/2))
(* (* (sqrt (/ 1 x)) (- 1/9 x)) 3)
(* (sqrt (/ 1 x)) (- 1/9 x))
(sqrt (/ 1 x))
(/ 1 x)
(+ y -1)
(- 1/9 x)
Outputs
(exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 3 binary64)) (+.f64 (/.f64 #s(literal 1/9 binary64) x) (+.f64 y #s(literal -1 binary64))))) #s(literal -1 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal -1/2 binary64)))) (/.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) (+.f64 y #s(literal -1 binary64))) #s(literal -3 binary64)) (pow.f64 x #s(literal -1/2 binary64))))
(neg.f64 (/.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) (+.f64 y #s(literal -1 binary64))) #s(literal -3 binary64)) (pow.f64 x #s(literal -1/2 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 3 binary64)) (+.f64 (/.f64 #s(literal 1/9 binary64) x) (+.f64 y #s(literal -1 binary64))))))
(/.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) (+.f64 y #s(literal -1 binary64))) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 3 binary64)))
(/.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) (+.f64 y #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 x #s(literal -1/2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 3 binary64)) (+.f64 (/.f64 #s(literal 1/9 binary64) x) (+.f64 y #s(literal -1 binary64)))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 3 binary64)) (+.f64 (/.f64 #s(literal 1/9 binary64) x) (+.f64 y #s(literal -1 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/81 binary64) (*.f64 x x)) (*.f64 (+.f64 y #s(literal -1 binary64)) (-.f64 (+.f64 y #s(literal -1 binary64)) (/.f64 #s(literal 1/9 binary64) x)))) (sqrt.f64 x)) (*.f64 (+.f64 (/.f64 #s(literal 1/729 binary64) (*.f64 x (*.f64 x x))) (*.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 (+.f64 y #s(literal -1 binary64)) (+.f64 y #s(literal -1 binary64))))) #s(literal 3 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) (+.f64 y #s(literal -1 binary64))) (sqrt.f64 x)) (*.f64 (-.f64 (/.f64 #s(literal 1/81 binary64) (*.f64 x x)) (*.f64 (+.f64 y #s(literal -1 binary64)) (+.f64 y #s(literal -1 binary64)))) #s(literal 3 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (*.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) (+.f64 y #s(literal -1 binary64))) #s(literal 3 binary64)) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/81 binary64) (*.f64 x x)) (*.f64 (+.f64 y #s(literal -1 binary64)) (-.f64 (+.f64 y #s(literal -1 binary64)) (/.f64 #s(literal 1/9 binary64) x)))) (/.f64 (+.f64 (/.f64 #s(literal 1/729 binary64) (*.f64 x (*.f64 x x))) (*.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 (+.f64 y #s(literal -1 binary64)) (+.f64 y #s(literal -1 binary64))))) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) (+.f64 y #s(literal -1 binary64))) (/.f64 (-.f64 (/.f64 #s(literal 1/81 binary64) (*.f64 x x)) (*.f64 (+.f64 y #s(literal -1 binary64)) (+.f64 y #s(literal -1 binary64)))) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal -1/4 binary64)) (/.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) (+.f64 y #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 x #s(literal -1/4 binary64)))))
(/.f64 (/.f64 #s(literal 3 binary64) (pow.f64 x #s(literal -1/2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) x) (+.f64 y #s(literal -1 binary64)))))
(/.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) (+.f64 y #s(literal -1 binary64))) #s(literal -3 binary64)) (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal -1/2 binary64))))
(/.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/729 binary64) (*.f64 x (*.f64 x x))) (*.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 (+.f64 y #s(literal -1 binary64)) (+.f64 y #s(literal -1 binary64))))) #s(literal 3 binary64)) (/.f64 (+.f64 (/.f64 #s(literal 1/81 binary64) (*.f64 x x)) (*.f64 (+.f64 y #s(literal -1 binary64)) (-.f64 (+.f64 y #s(literal -1 binary64)) (/.f64 #s(literal 1/9 binary64) x)))) (sqrt.f64 x)))
(/.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/81 binary64) (*.f64 x x)) (*.f64 (+.f64 y #s(literal -1 binary64)) (+.f64 y #s(literal -1 binary64)))) #s(literal 3 binary64)) (/.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) (+.f64 y #s(literal -1 binary64))) (sqrt.f64 x)))
(/.f64 (neg.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) (+.f64 y #s(literal -1 binary64))) #s(literal -3 binary64))) (neg.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal -1/2 binary64)))))
(/.f64 (*.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) (+.f64 y #s(literal -1 binary64))) #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal -1/2 binary64)))
(/.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/729 binary64) (*.f64 x (*.f64 x x))) (*.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 (+.f64 y #s(literal -1 binary64)) (+.f64 y #s(literal -1 binary64))))) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 3 binary64))) (+.f64 (/.f64 #s(literal 1/81 binary64) (*.f64 x x)) (*.f64 (+.f64 y #s(literal -1 binary64)) (-.f64 (+.f64 y #s(literal -1 binary64)) (/.f64 #s(literal 1/9 binary64) x)))))
(/.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/81 binary64) (*.f64 x x)) (*.f64 (+.f64 y #s(literal -1 binary64)) (+.f64 y #s(literal -1 binary64)))) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 3 binary64))) (-.f64 (/.f64 #s(literal 1/9 binary64) x) (+.f64 y #s(literal -1 binary64))))
(/.f64 (/.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) (+.f64 y #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 x #s(literal -1/4 binary64))) (pow.f64 x #s(literal -1/4 binary64)))
(/.f64 (neg.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/729 binary64) (*.f64 x (*.f64 x x))) (*.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 (+.f64 y #s(literal -1 binary64)) (+.f64 y #s(literal -1 binary64))))) #s(literal 3 binary64))) (neg.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/81 binary64) (*.f64 x x)) (*.f64 (+.f64 y #s(literal -1 binary64)) (-.f64 (+.f64 y #s(literal -1 binary64)) (/.f64 #s(literal 1/9 binary64) x)))) (sqrt.f64 x))))
(/.f64 (neg.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/81 binary64) (*.f64 x x)) (*.f64 (+.f64 y #s(literal -1 binary64)) (+.f64 y #s(literal -1 binary64)))) #s(literal 3 binary64))) (neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) (+.f64 y #s(literal -1 binary64))) (sqrt.f64 x))))
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(*.f64 (+.f64 #s(literal -1 binary64) (*.f64 y (*.f64 y y))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 y y) (-.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) y)))))
(*.f64 (+.f64 #s(literal -1 binary64) (*.f64 y (*.f64 y y))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 y y) (-.f64 #s(literal 0 binary64) y)))))
(*.f64 (+.f64 (*.f64 y y) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))))
(*.f64 (neg.f64 (+.f64 #s(literal -1 binary64) (*.f64 y (*.f64 y y)))) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 (*.f64 y y) (-.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) y))))))
(*.f64 (neg.f64 (+.f64 (*.f64 y y) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 y #s(literal 1 binary64)))))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) y)))
(+.f64 #s(literal 1/9 binary64) (-.f64 #s(literal 0 binary64) x))
(+.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 1/9 binary64))
(-.f64 #s(literal 1/9 binary64) x)
(-.f64 (/.f64 #s(literal 1/729 binary64) (+.f64 #s(literal 1/81 binary64) (*.f64 x (+.f64 #s(literal 1/9 binary64) x)))) (/.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 1/81 binary64) (*.f64 x (+.f64 #s(literal 1/9 binary64) x)))))
(-.f64 (/.f64 #s(literal 1/81 binary64) (+.f64 #s(literal 1/9 binary64) x)) (/.f64 (*.f64 x x) (+.f64 #s(literal 1/9 binary64) x)))
(-.f64 (/.f64 #s(literal 1/81 binary64) (-.f64 #s(literal 1/9 binary64) (-.f64 #s(literal 0 binary64) x))) (/.f64 (*.f64 x x) (-.f64 #s(literal 1/9 binary64) (-.f64 #s(literal 0 binary64) x))))
(fma.f64 #s(literal -1 binary64) x #s(literal 1/9 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.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 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/9 binary64) x)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/81 binary64) (-.f64 (*.f64 x x) (*.f64 #s(literal 1/9 binary64) (-.f64 #s(literal 0 binary64) x)))) (-.f64 #s(literal 1/729 binary64) (*.f64 x (*.f64 x x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/9 binary64) (-.f64 #s(literal 0 binary64) x)) (-.f64 #s(literal 1/81 binary64) (*.f64 x x))))
(/.f64 (-.f64 #s(literal 1/729 binary64) (*.f64 x (*.f64 x x))) (+.f64 #s(literal 1/81 binary64) (*.f64 x (+.f64 #s(literal 1/9 binary64) x))))
(/.f64 (-.f64 #s(literal 1/729 binary64) (*.f64 x (*.f64 x x))) (+.f64 #s(literal 1/81 binary64) (-.f64 (*.f64 x x) (*.f64 #s(literal 1/9 binary64) (-.f64 #s(literal 0 binary64) x)))))
(/.f64 (-.f64 #s(literal 1/81 binary64) (*.f64 x x)) (+.f64 #s(literal 1/9 binary64) x))
(/.f64 (-.f64 #s(literal 1/81 binary64) (*.f64 x x)) (-.f64 #s(literal 1/9 binary64) (-.f64 #s(literal 0 binary64) x)))
(/.f64 (neg.f64 (-.f64 #s(literal 1/729 binary64) (*.f64 x (*.f64 x x)))) (neg.f64 (+.f64 #s(literal 1/81 binary64) (*.f64 x (+.f64 #s(literal 1/9 binary64) x)))))
(/.f64 (neg.f64 (-.f64 #s(literal 1/729 binary64) (*.f64 x (*.f64 x x)))) (neg.f64 (+.f64 #s(literal 1/81 binary64) (-.f64 (*.f64 x x) (*.f64 #s(literal 1/9 binary64) (-.f64 #s(literal 0 binary64) x))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1/81 binary64) (*.f64 x x))) (neg.f64 (+.f64 #s(literal 1/9 binary64) x)))
(/.f64 (neg.f64 (-.f64 #s(literal 1/81 binary64) (*.f64 x x))) (neg.f64 (-.f64 #s(literal 1/9 binary64) (-.f64 #s(literal 0 binary64) x))))
(/.f64 (-.f64 (*.f64 #s(literal 1/729 binary64) (+.f64 #s(literal 1/81 binary64) (*.f64 x (+.f64 #s(literal 1/9 binary64) x)))) (*.f64 (+.f64 #s(literal 1/81 binary64) (*.f64 x (+.f64 #s(literal 1/9 binary64) x))) (*.f64 x (*.f64 x x)))) (*.f64 (+.f64 #s(literal 1/81 binary64) (*.f64 x (+.f64 #s(literal 1/9 binary64) x))) (+.f64 #s(literal 1/81 binary64) (*.f64 x (+.f64 #s(literal 1/9 binary64) x)))))
(/.f64 (-.f64 (*.f64 #s(literal 1/81 binary64) (+.f64 #s(literal 1/9 binary64) x)) (*.f64 (+.f64 #s(literal 1/9 binary64) x) (*.f64 x x))) (*.f64 (+.f64 #s(literal 1/9 binary64) x) (+.f64 #s(literal 1/9 binary64) x)))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1/729 binary64) (*.f64 x (*.f64 x x))))) (neg.f64 (neg.f64 (+.f64 #s(literal 1/81 binary64) (*.f64 x (+.f64 #s(literal 1/9 binary64) x))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1/81 binary64) (*.f64 x x)))) (neg.f64 (neg.f64 (+.f64 #s(literal 1/9 binary64) x))))
(/.f64 (+.f64 (neg.f64 (*.f64 x (*.f64 x x))) #s(literal 1/729 binary64)) (+.f64 (*.f64 x x) (-.f64 #s(literal 1/81 binary64) (*.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 1/9 binary64)))))
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1/729 binary64) (+.f64 #s(literal 1/81 binary64) (*.f64 x (+.f64 #s(literal 1/9 binary64) x)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 1/81 binary64) (*.f64 x (+.f64 #s(literal 1/9 binary64) x)))) #s(literal 3 binary64))) (+.f64 (*.f64 (/.f64 #s(literal 1/729 binary64) (+.f64 #s(literal 1/81 binary64) (*.f64 x (+.f64 #s(literal 1/9 binary64) x)))) (/.f64 #s(literal 1/729 binary64) (+.f64 #s(literal 1/81 binary64) (*.f64 x (+.f64 #s(literal 1/9 binary64) x))))) (+.f64 (*.f64 (/.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 1/81 binary64) (*.f64 x (+.f64 #s(literal 1/9 binary64) x)))) (/.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 1/81 binary64) (*.f64 x (+.f64 #s(literal 1/9 binary64) x))))) (*.f64 (/.f64 #s(literal 1/729 binary64) (+.f64 #s(literal 1/81 binary64) (*.f64 x (+.f64 #s(literal 1/9 binary64) x)))) (/.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 1/81 binary64) (*.f64 x (+.f64 #s(literal 1/9 binary64) x))))))))
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1/81 binary64) (+.f64 #s(literal 1/9 binary64) x)) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 x x) (+.f64 #s(literal 1/9 binary64) x)) #s(literal 3 binary64))) (+.f64 (*.f64 (/.f64 #s(literal 1/81 binary64) (+.f64 #s(literal 1/9 binary64) x)) (/.f64 #s(literal 1/81 binary64) (+.f64 #s(literal 1/9 binary64) x))) (+.f64 (*.f64 (/.f64 (*.f64 x x) (+.f64 #s(literal 1/9 binary64) x)) (/.f64 (*.f64 x x) (+.f64 #s(literal 1/9 binary64) x))) (*.f64 (/.f64 #s(literal 1/81 binary64) (+.f64 #s(literal 1/9 binary64) x)) (/.f64 (*.f64 x x) (+.f64 #s(literal 1/9 binary64) x))))))
(pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/9 binary64) x)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/9 binary64) x))
(*.f64 (-.f64 #s(literal 1/729 binary64) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/81 binary64) (*.f64 x (+.f64 #s(literal 1/9 binary64) x)))))
(*.f64 (-.f64 #s(literal 1/729 binary64) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/81 binary64) (-.f64 (*.f64 x x) (*.f64 #s(literal 1/9 binary64) (-.f64 #s(literal 0 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 1/81 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/9 binary64) (-.f64 #s(literal 0 binary64) x))))
(*.f64 (neg.f64 (-.f64 #s(literal 1/729 binary64) (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 #s(literal 1/81 binary64) (*.f64 x (+.f64 #s(literal 1/9 binary64) x))))))
(*.f64 (neg.f64 (-.f64 #s(literal 1/81 binary64) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 #s(literal 1/9 binary64) x))))

simplify232.0ms (2%)

Algorithm
1×egg-herbie
Rules
4652×*-lowering-*.f32
4652×*-lowering-*.f64
1734×fnmadd-define
1466×+-lowering-+.f64
1466×+-lowering-+.f32
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01321715
13801535
211861501
334701486
083751486
Stop Event
1×iter limit
1×node limit
Counts
264 → 264
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))))))
(/ 1/3 x)
(/ (+ 1/3 (* 3 (* x (- y 1)))) x)
(/ (+ 1/3 (* 3 (* x (- y 1)))) x)
(/ (+ 1/3 (* 3 (* x (- y 1)))) x)
(* 3 (- y 1))
(+ (* 3 (- y 1)) (* 1/3 (/ 1 x)))
(+ (* 3 (- y 1)) (* 1/3 (/ 1 x)))
(+ (* 3 (- y 1)) (* 1/3 (/ 1 x)))
(* 3 (- y 1))
(+ (* 3 (- y 1)) (* 1/3 (/ 1 x)))
(+ (* 3 (- y 1)) (* 1/3 (/ 1 x)))
(+ (* 3 (- y 1)) (* 1/3 (/ 1 x)))
(* 3 (- (* 1/9 (/ 1 x)) 1))
(+ (* 3 y) (* 3 (- (* 1/9 (/ 1 x)) 1)))
(+ (* 3 y) (* 3 (- (* 1/9 (/ 1 x)) 1)))
(+ (* 3 y) (* 3 (- (* 1/9 (/ 1 x)) 1)))
(* 3 y)
(* y (+ 3 (* 3 (/ (- (* 1/9 (/ 1 x)) 1) y))))
(* y (+ 3 (* 3 (/ (- (* 1/9 (/ 1 x)) 1) y))))
(* y (+ 3 (* 3 (/ (- (* 1/9 (/ 1 x)) 1) y))))
(* 3 y)
(* -1 (* y (- (* -3 (/ (- (* 1/9 (/ 1 x)) 1) y)) 3)))
(* -1 (* y (- (* -3 (/ (- (* 1/9 (/ 1 x)) 1) y)) 3)))
(* -1 (* y (- (* -3 (/ (- (* 1/9 (/ 1 x)) 1) y)) 3)))
(/ 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 (/ 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)
(/ 1/9 x)
(/ 1/9 x)
(/ 1/9 x)
(/ 1/9 x)
(/ 1/9 x)
(/ 1/9 x)
(/ 1/9 x)
(/ 1/9 x)
(/ 1/9 x)
(/ 1/9 x)
(* 1/3 (sqrt (/ 1 x)))
(* 1/3 (sqrt (/ 1 x)))
(* 1/3 (sqrt (/ 1 x)))
(* 1/3 (sqrt (/ 1 x)))
(* 1/3 (sqrt (/ 1 x)))
(* 1/3 (sqrt (/ 1 x)))
(* 1/3 (sqrt (/ 1 x)))
(* 1/3 (sqrt (/ 1 x)))
(* 1/3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))
(* 1/3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))
(* 1/3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))
(* 1/3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))
(sqrt (/ 1 x))
(sqrt (/ 1 x))
(sqrt (/ 1 x))
(sqrt (/ 1 x))
(sqrt (/ 1 x))
(sqrt (/ 1 x))
(sqrt (/ 1 x))
(sqrt (/ 1 x))
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2))
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2))
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2))
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2))
(* 1/3 (sqrt (/ 1 x)))
(* 1/3 (sqrt (/ 1 x)))
(* 1/3 (sqrt (/ 1 x)))
(* 1/3 (sqrt (/ 1 x)))
(* 1/3 (sqrt (/ 1 x)))
(* 1/3 (sqrt (/ 1 x)))
(* 1/3 (sqrt (/ 1 x)))
(* 1/3 (sqrt (/ 1 x)))
(* 1/3 (sqrt (/ 1 x)))
(* 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)))
(* 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) 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))
(* (sqrt x) y)
(* (sqrt x) y)
(* (sqrt x) y)
(* (sqrt x) y)
(* (sqrt x) y)
(* (sqrt x) y)
(* (sqrt x) y)
(* (sqrt x) y)
(* (sqrt x) y)
(* (sqrt x) y)
(* (sqrt x) y)
(* (sqrt x) y)
(* (sqrt x) y)
(* (sqrt x) y)
(* (sqrt x) y)
(* (sqrt x) y)
(* (sqrt x) y)
(* (sqrt x) y)
(* (sqrt x) y)
(* (sqrt x) y)
(* -1 (* (sqrt x) y))
(* -1 (* (sqrt x) y))
(* -1 (* (sqrt x) y))
(* -1 (* (sqrt x) y))
(* 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 (+ (* -1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))
(* -1 (* x (+ (* -1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))
(* -1 (* x (+ (* -1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))
(* 1/9 (sqrt (/ 1 x)))
(/ (+ (* -1 (sqrt (pow x 3))) (* 1/9 (sqrt x))) x)
(/ (+ (* -1 (sqrt (pow x 3))) (* 1/9 (sqrt x))) x)
(/ (+ (* -1 (sqrt (pow x 3))) (* 1/9 (sqrt x))) x)
(* -1 (sqrt x))
(* x (+ (* -1 (sqrt (/ 1 x))) (* 1/9 (sqrt (/ 1 (pow x 3))))))
(* x (+ (* -1 (sqrt (/ 1 x))) (* 1/9 (sqrt (/ 1 (pow x 3))))))
(* x (+ (* -1 (sqrt (/ 1 x))) (* 1/9 (sqrt (/ 1 (pow x 3))))))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* x (+ (* -1/9 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
(* -1 (* x (+ (* -1/9 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
(* -1 (* x (+ (* -1/9 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* (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
(- y 1)
(- y 1)
(- y 1)
y
(* y (- 1 (/ 1 y)))
(* y (- 1 (/ 1 y)))
(* y (- 1 (/ 1 y)))
y
(* -1 (* y (- (/ 1 y) 1)))
(* -1 (* y (- (/ 1 y) 1)))
(* -1 (* y (- (/ 1 y) 1)))
1/9
(+ 1/9 (* -1 x))
(+ 1/9 (* -1 x))
(+ 1/9 (* -1 x))
(* -1 x)
(* x (- (* 1/9 (/ 1 x)) 1))
(* x (- (* 1/9 (/ 1 x)) 1))
(* x (- (* 1/9 (/ 1 x)) 1))
(* -1 x)
(* -1 (* x (- 1 (* 1/9 (/ 1 x)))))
(* -1 (* x (- 1 (* 1/9 (/ 1 x)))))
(* -1 (* x (- 1 (* 1/9 (/ 1 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)))
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(*.f64 (sqrt.f64 x) y)
(* (sqrt x) y)
(*.f64 (sqrt.f64 x) y)
(* (sqrt x) y)
(*.f64 (sqrt.f64 x) y)
(* (sqrt x) y)
(*.f64 (sqrt.f64 x) y)
(* (sqrt x) y)
(*.f64 (sqrt.f64 x) y)
(* (sqrt x) y)
(*.f64 (sqrt.f64 x) y)
(* (sqrt x) y)
(*.f64 (sqrt.f64 x) y)
(* (sqrt x) y)
(*.f64 (sqrt.f64 x) y)
(* (sqrt x) y)
(*.f64 (sqrt.f64 x) y)
(* (sqrt x) y)
(*.f64 (sqrt.f64 x) y)
(* (sqrt x) y)
(*.f64 (sqrt.f64 x) y)
(* (sqrt x) y)
(*.f64 (sqrt.f64 x) y)
(* -1 (* (sqrt x) y))
(-.f64 #s(literal 0 binary64) (*.f64 (sqrt.f64 x) y))
(* -1 (* (sqrt x) y))
(-.f64 #s(literal 0 binary64) (*.f64 (sqrt.f64 x) y))
(* -1 (* (sqrt x) y))
(-.f64 #s(literal 0 binary64) (*.f64 (sqrt.f64 x) y))
(* -1 (* (sqrt x) y))
(-.f64 #s(literal 0 binary64) (*.f64 (sqrt.f64 x) y))
(* 1/3 (sqrt (/ 1 x)))
(*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(/ (+ (* -3 (sqrt (pow x 3))) (* 1/3 (sqrt x))) x)
(/.f64 (+.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (*.f64 (sqrt.f64 (*.f64 x (*.f64 x x))) #s(literal -3 binary64))) x)
(/ (+ (* -3 (sqrt (pow x 3))) (* 1/3 (sqrt x))) x)
(/.f64 (+.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (*.f64 (sqrt.f64 (*.f64 x (*.f64 x x))) #s(literal -3 binary64))) x)
(/ (+ (* -3 (sqrt (pow x 3))) (* 1/3 (sqrt x))) x)
(/.f64 (+.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (*.f64 (sqrt.f64 (*.f64 x (*.f64 x x))) #s(literal -3 binary64))) x)
(* -3 (sqrt x))
(*.f64 (sqrt.f64 x) #s(literal -3 binary64))
(* x (+ (* -3 (sqrt (/ 1 x))) (* 1/3 (sqrt (/ 1 (pow x 3))))))
(*.f64 x (+.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) x))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -3 binary64))))
(* x (+ (* -3 (sqrt (/ 1 x))) (* 1/3 (sqrt (/ 1 (pow x 3))))))
(*.f64 x (+.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) x))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -3 binary64))))
(* x (+ (* -3 (sqrt (/ 1 x))) (* 1/3 (sqrt (/ 1 (pow x 3))))))
(*.f64 x (+.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) x))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -3 binary64))))
(* -3 (* (sqrt x) (pow (sqrt -1) 2)))
(*.f64 (sqrt.f64 x) #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))))))
(*.f64 x (+.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) x)) #s(literal -1/3 binary64)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #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))))))
(*.f64 x (+.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) x)) #s(literal -1/3 binary64)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #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))))))
(*.f64 x (+.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) x)) #s(literal -1/3 binary64)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))))
(* 1/9 (sqrt (/ 1 x)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/9 binary64))
(/ (+ (* -1 (sqrt (pow x 3))) (* 1/9 (sqrt x))) x)
(/.f64 (-.f64 (*.f64 (sqrt.f64 x) #s(literal 1/9 binary64)) (sqrt.f64 (*.f64 x (*.f64 x x)))) x)
(/ (+ (* -1 (sqrt (pow x 3))) (* 1/9 (sqrt x))) x)
(/.f64 (-.f64 (*.f64 (sqrt.f64 x) #s(literal 1/9 binary64)) (sqrt.f64 (*.f64 x (*.f64 x x)))) x)
(/ (+ (* -1 (sqrt (pow x 3))) (* 1/9 (sqrt x))) x)
(/.f64 (-.f64 (*.f64 (sqrt.f64 x) #s(literal 1/9 binary64)) (sqrt.f64 (*.f64 x (*.f64 x x)))) x)
(* -1 (sqrt x))
(-.f64 #s(literal 0 binary64) (sqrt.f64 x))
(* x (+ (* -1 (sqrt (/ 1 x))) (* 1/9 (sqrt (/ 1 (pow x 3))))))
(*.f64 x (-.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) x)) #s(literal 1/9 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
(* x (+ (* -1 (sqrt (/ 1 x))) (* 1/9 (sqrt (/ 1 (pow x 3))))))
(*.f64 x (-.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) x)) #s(literal 1/9 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
(* x (+ (* -1 (sqrt (/ 1 x))) (* 1/9 (sqrt (/ 1 (pow x 3))))))
(*.f64 x (-.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) x)) #s(literal 1/9 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(sqrt.f64 x)
(* -1 (* x (+ (* -1/9 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
(*.f64 x (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) 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)))))
(*.f64 x (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) 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)))))
(*.f64 x (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) x)) #s(literal -1/9 binary64))))
(sqrt (/ 1 x))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(sqrt (/ 1 x))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(sqrt (/ 1 x))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(sqrt (/ 1 x))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(sqrt (/ 1 x))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(sqrt (/ 1 x))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(sqrt (/ 1 x))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(sqrt (/ 1 x))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2))
(-.f64 #s(literal 0 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2))
(-.f64 #s(literal 0 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2))
(-.f64 #s(literal 0 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2))
(-.f64 #s(literal 0 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
-1
#s(literal -1 binary64)
(- y 1)
(+.f64 y #s(literal -1 binary64))
(- y 1)
(+.f64 y #s(literal -1 binary64))
(- y 1)
(+.f64 y #s(literal -1 binary64))
y
(* y (- 1 (/ 1 y)))
(+.f64 y #s(literal -1 binary64))
(* y (- 1 (/ 1 y)))
(+.f64 y #s(literal -1 binary64))
(* y (- 1 (/ 1 y)))
(+.f64 y #s(literal -1 binary64))
y
(* -1 (* y (- (/ 1 y) 1)))
(+.f64 y #s(literal -1 binary64))
(* -1 (* y (- (/ 1 y) 1)))
(+.f64 y #s(literal -1 binary64))
(* -1 (* y (- (/ 1 y) 1)))
(+.f64 y #s(literal -1 binary64))
1/9
#s(literal 1/9 binary64)
(+ 1/9 (* -1 x))
(-.f64 #s(literal 1/9 binary64) x)
(+ 1/9 (* -1 x))
(-.f64 #s(literal 1/9 binary64) x)
(+ 1/9 (* -1 x))
(-.f64 #s(literal 1/9 binary64) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* x (- (* 1/9 (/ 1 x)) 1))
(-.f64 #s(literal 1/9 binary64) x)
(* x (- (* 1/9 (/ 1 x)) 1))
(-.f64 #s(literal 1/9 binary64) x)
(* x (- (* 1/9 (/ 1 x)) 1))
(-.f64 #s(literal 1/9 binary64) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* -1 (* x (- 1 (* 1/9 (/ 1 x)))))
(-.f64 #s(literal 1/9 binary64) x)
(* -1 (* x (- 1 (* 1/9 (/ 1 x)))))
(-.f64 #s(literal 1/9 binary64) x)
(* -1 (* x (- 1 (* 1/9 (/ 1 x)))))
(-.f64 #s(literal 1/9 binary64) x)

eval159.0ms (1.3%)

Compiler

Compiled 17545 to 2521 computations (85.6% saved)

prune150.0ms (1.3%)

Pruning

25 alts after pruning (19 fresh and 6 done)

PrunedKeptTotal
New1024101034
Fresh10919
Picked235
Done033
Total1036251061
Accuracy
100.0%
Counts
1061 → 25
Alt Table
Click to see full alt table
StatusAccuracyProgram
34.0%
(/.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 3 binary64))
41.7%
(/.f64 (/.f64 y #s(literal 1/3 binary64)) (pow.f64 x #s(literal -1/2 binary64)))
34.0%
(/.f64 (/.f64 #s(literal 1/3 binary64) x) (pow.f64 x #s(literal -1/2 binary64)))
73.5%
(/.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal 3 binary64)) (pow.f64 x #s(literal -1/2 binary64)))
34.0%
(/.f64 (*.f64 (sqrt.f64 x) #s(literal 1/3 binary64)) x)
59.3%
(/.f64 (*.f64 #s(literal 3 binary64) (-.f64 #s(literal 1/9 binary64) x)) (sqrt.f64 x))
41.7%
(/.f64 (sqrt.f64 x) (/.f64 #s(literal 1/3 binary64) y))
34.0%
(/.f64 (sqrt.f64 x) (*.f64 x #s(literal 3 binary64)))
41.7%
(/.f64 y (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)))
✓34.0%
(/.f64 #s(literal 1/3 binary64) (sqrt.f64 x))
✓34.0%
(/.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) #s(literal -3 binary64)))
✓34.0%
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1/3 binary64))
59.4%
(*.f64 (/.f64 (-.f64 #s(literal 1/9 binary64) x) (sqrt.f64 x)) #s(literal 3 binary64))
✓41.7%
(*.f64 (/.f64 y (pow.f64 x #s(literal -1/2 binary64))) #s(literal 3 binary64))
41.7%
(*.f64 (/.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64))
59.3%
(*.f64 (/.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 #s(literal 1/9 binary64) x))
✓99.5%
(*.f64 (*.f64 (sqrt.f64 x) (+.f64 y (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)))) #s(literal 3 binary64))
66.5%
(*.f64 (*.f64 (sqrt.f64 x) (+.f64 y #s(literal -1 binary64))) #s(literal 3 binary64))
✓41.7%
(*.f64 (*.f64 (sqrt.f64 x) y) #s(literal 3 binary64))
41.8%
(*.f64 (*.f64 y #s(literal 3 binary64)) (sqrt.f64 x))
66.6%
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 y #s(literal 1 binary64)))
41.7%
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) y)
34.0%
(*.f64 (sqrt.f64 x) (/.f64 #s(literal 1/3 binary64) x))
3.3%
(*.f64 (sqrt.f64 x) #s(literal 3 binary64))
26.6%
(*.f64 (sqrt.f64 x) #s(literal -3 binary64))
Compiler

Compiled 1121 to 392 computations (65% saved)

regimes91.0ms (0.8%)

Counts
72 → 1
Calls
Call 1
Inputs
(*.f64 (sqrt.f64 x) #s(literal -3 binary64))
(*.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 1/3 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))
(*.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) y))
(*.f64 (sqrt.f64 x) (/.f64 #s(literal 1/3 binary64) x))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/3 binary64))
(*.f64 (*.f64 #s(literal 3 binary64) (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 y #s(literal 1/3 binary64)) (sqrt.f64 x))
(/.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) #s(literal -3 binary64)))
(/.f64 y (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)))
(/.f64 (sqrt.f64 x) (*.f64 x #s(literal 3 binary64)))
(/.f64 (sqrt.f64 x) (/.f64 #s(literal 1/3 binary64) y))
(/.f64 (*.f64 (sqrt.f64 x) #s(literal 1/3 binary64)) x)
(*.f64 (/.f64 #s(literal 3 binary64) (pow.f64 x #s(literal -1/2 binary64))) y)
(*.f64 (/.f64 y (pow.f64 x #s(literal -1/2 binary64))) #s(literal 3 binary64))
(/.f64 (/.f64 #s(literal 1/3 binary64) x) (pow.f64 x #s(literal -1/2 binary64)))
(/.f64 (/.f64 y #s(literal 1/3 binary64)) (pow.f64 x #s(literal -1/2 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 y #s(literal 1 binary64)))
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1/9 binary64) x))
(*.f64 (*.f64 (sqrt.f64 x) (+.f64 y #s(literal -1 binary64))) #s(literal 3 binary64))
(*.f64 (/.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 #s(literal 1/9 binary64) x))
(*.f64 (/.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64))
(*.f64 (/.f64 (-.f64 #s(literal 1/9 binary64) x) (sqrt.f64 x)) #s(literal 3 binary64))
(/.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) y)))
(/.f64 (*.f64 #s(literal 3 binary64) (-.f64 #s(literal 1/9 binary64) x)) (sqrt.f64 x))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 3 binary64) (-.f64 #s(literal 1/9 binary64) x)))
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)))
(*.f64 (*.f64 (sqrt.f64 x) (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64))) #s(literal 3 binary64))
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1/9 binary64) x)) #s(literal 3 binary64))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) y) #s(literal 3 binary64))
(/.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64))))
(/.f64 (*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) #s(literal -1/9 binary64)) (-.f64 #s(literal 0 binary64) x))
(/.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal 3 binary64)) (pow.f64 x #s(literal -1/2 binary64)))
(*.f64 (sqrt.f64 x) (+.f64 (*.f64 #s(literal 3 binary64) y) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))))
(*.f64 (*.f64 (sqrt.f64 x) (+.f64 y (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)))) #s(literal 3 binary64))
(/.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) (+.f64 y #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 x #s(literal -1/2 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 #s(literal 1 binary64) (/.f64 x #s(literal 1/3 binary64))))))
(*.f64 (sqrt.f64 x) (/.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 x (+.f64 (*.f64 #s(literal 3 binary64) y) #s(literal -3 binary64)))) x))
(*.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 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (/.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 x (+.f64 y #s(literal -1 binary64)))) x))
(*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) (/.f64 (+.f64 (*.f64 y y) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) y)))
(*.f64 (*.f64 (sqrt.f64 x) (/.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 x (+.f64 y #s(literal -1 binary64)))) x)) #s(literal 3 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 y (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)))) #s(literal 3 binary64))
(*.f64 (pow.f64 (*.f64 x x) #s(literal 1/4 binary64)) (+.f64 (*.f64 #s(literal 3 binary64) y) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))))
(/.f64 #s(literal 3 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 x (+.f64 y #s(literal -1 binary64)))) (pow.f64 x #s(literal -1/2 binary64)))))
(*.f64 (*.f64 #s(literal 3 binary64) y) (*.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)) y) #s(literal 1 binary64)) (sqrt.f64 x)))
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 y (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64))))))
(*.f64 (/.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) (+.f64 y (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)))) (*.f64 y y))
(/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 3 binary64) y) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)))))
(*.f64 (*.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 (+.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 y (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64))))
(/.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 (+.f64 y (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64))) (*.f64 (sqrt.f64 x) #s(literal 3 binary64))))
(*.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 #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 (pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 3 binary64) y) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))))
(/.f64 (+.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (*.f64 (sqrt.f64 (*.f64 x (*.f64 x x))) (+.f64 (*.f64 #s(literal 3 binary64) y) #s(literal -3 binary64)))) x)
(/.f64 (+.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (*.f64 (*.f64 #s(literal 3 binary64) (+.f64 y #s(literal -1 binary64))) (sqrt.f64 (*.f64 x (*.f64 x x))))) 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:

23.0ms
x
23.0ms
y
22.0ms
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64)))
Results
AccuracySegmentsBranch
99.5%1x
99.5%1y
99.5%1(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64)))
Compiler

Compiled 22 to 16 computations (27.3% saved)

regimes33.0ms (0.3%)

Counts
46 → 1
Calls
Call 1
Inputs
(*.f64 (sqrt.f64 x) #s(literal -3 binary64))
(*.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 1/3 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))
(*.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) y))
(*.f64 (sqrt.f64 x) (/.f64 #s(literal 1/3 binary64) x))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/3 binary64))
(*.f64 (*.f64 #s(literal 3 binary64) (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 y #s(literal 1/3 binary64)) (sqrt.f64 x))
(/.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) #s(literal -3 binary64)))
(/.f64 y (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)))
(/.f64 (sqrt.f64 x) (*.f64 x #s(literal 3 binary64)))
(/.f64 (sqrt.f64 x) (/.f64 #s(literal 1/3 binary64) y))
(/.f64 (*.f64 (sqrt.f64 x) #s(literal 1/3 binary64)) x)
(*.f64 (/.f64 #s(literal 3 binary64) (pow.f64 x #s(literal -1/2 binary64))) y)
(*.f64 (/.f64 y (pow.f64 x #s(literal -1/2 binary64))) #s(literal 3 binary64))
(/.f64 (/.f64 #s(literal 1/3 binary64) x) (pow.f64 x #s(literal -1/2 binary64)))
(/.f64 (/.f64 y #s(literal 1/3 binary64)) (pow.f64 x #s(literal -1/2 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 y #s(literal 1 binary64)))
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1/9 binary64) x))
(*.f64 (*.f64 (sqrt.f64 x) (+.f64 y #s(literal -1 binary64))) #s(literal 3 binary64))
(*.f64 (/.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 #s(literal 1/9 binary64) x))
(*.f64 (/.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64))
(*.f64 (/.f64 (-.f64 #s(literal 1/9 binary64) x) (sqrt.f64 x)) #s(literal 3 binary64))
(/.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) y)))
(/.f64 (*.f64 #s(literal 3 binary64) (-.f64 #s(literal 1/9 binary64) x)) (sqrt.f64 x))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 3 binary64) (-.f64 #s(literal 1/9 binary64) x)))
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)))
(*.f64 (*.f64 (sqrt.f64 x) (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64))) #s(literal 3 binary64))
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1/9 binary64) x)) #s(literal 3 binary64))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) y) #s(literal 3 binary64))
(/.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64))))
(/.f64 (*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) #s(literal -1/9 binary64)) (-.f64 #s(literal 0 binary64) x))
(/.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal 3 binary64)) (pow.f64 x #s(literal -1/2 binary64)))
(*.f64 (sqrt.f64 x) (+.f64 (*.f64 #s(literal 3 binary64) y) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))))
(*.f64 (*.f64 (sqrt.f64 x) (+.f64 y (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)))) #s(literal 3 binary64))
(/.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) (+.f64 y #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 x #s(literal -1/2 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 #s(literal 1 binary64) (/.f64 x #s(literal 1/3 binary64))))))
(*.f64 (sqrt.f64 x) (/.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 x (+.f64 (*.f64 #s(literal 3 binary64) y) #s(literal -3 binary64)))) x))
Outputs
(*.f64 (*.f64 (sqrt.f64 x) (+.f64 y (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)))) #s(literal 3 binary64))
Calls

2 calls:

17.0ms
x
13.0ms
y
Results
AccuracySegmentsBranch
99.5%1x
99.5%1y
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes29.0ms (0.2%)

Counts
41 → 1
Calls
Call 1
Inputs
(*.f64 (sqrt.f64 x) #s(literal -3 binary64))
(*.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 1/3 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))
(*.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) y))
(*.f64 (sqrt.f64 x) (/.f64 #s(literal 1/3 binary64) x))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/3 binary64))
(*.f64 (*.f64 #s(literal 3 binary64) (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 y #s(literal 1/3 binary64)) (sqrt.f64 x))
(/.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) #s(literal -3 binary64)))
(/.f64 y (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)))
(/.f64 (sqrt.f64 x) (*.f64 x #s(literal 3 binary64)))
(/.f64 (sqrt.f64 x) (/.f64 #s(literal 1/3 binary64) y))
(/.f64 (*.f64 (sqrt.f64 x) #s(literal 1/3 binary64)) x)
(*.f64 (/.f64 #s(literal 3 binary64) (pow.f64 x #s(literal -1/2 binary64))) y)
(*.f64 (/.f64 y (pow.f64 x #s(literal -1/2 binary64))) #s(literal 3 binary64))
(/.f64 (/.f64 #s(literal 1/3 binary64) x) (pow.f64 x #s(literal -1/2 binary64)))
(/.f64 (/.f64 y #s(literal 1/3 binary64)) (pow.f64 x #s(literal -1/2 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 y #s(literal 1 binary64)))
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1/9 binary64) x))
(*.f64 (*.f64 (sqrt.f64 x) (+.f64 y #s(literal -1 binary64))) #s(literal 3 binary64))
(*.f64 (/.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 #s(literal 1/9 binary64) x))
(*.f64 (/.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64))
(*.f64 (/.f64 (-.f64 #s(literal 1/9 binary64) x) (sqrt.f64 x)) #s(literal 3 binary64))
(/.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) y)))
(/.f64 (*.f64 #s(literal 3 binary64) (-.f64 #s(literal 1/9 binary64) x)) (sqrt.f64 x))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 3 binary64) (-.f64 #s(literal 1/9 binary64) x)))
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)))
(*.f64 (*.f64 (sqrt.f64 x) (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64))) #s(literal 3 binary64))
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1/9 binary64) x)) #s(literal 3 binary64))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) y) #s(literal 3 binary64))
(/.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64))))
(/.f64 (*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) #s(literal -1/9 binary64)) (-.f64 #s(literal 0 binary64) x))
(/.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal 3 binary64)) (pow.f64 x #s(literal -1/2 binary64)))
(*.f64 (sqrt.f64 x) (+.f64 (*.f64 #s(literal 3 binary64) y) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))))
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:

15.0ms
x
12.0ms
y
Results
AccuracySegmentsBranch
99.5%1x
99.5%1y
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes55.0ms (0.5%)

Counts
40 → 2
Calls
Call 1
Inputs
(*.f64 (sqrt.f64 x) #s(literal -3 binary64))
(*.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 1/3 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))
(*.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) y))
(*.f64 (sqrt.f64 x) (/.f64 #s(literal 1/3 binary64) x))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/3 binary64))
(*.f64 (*.f64 #s(literal 3 binary64) (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 y #s(literal 1/3 binary64)) (sqrt.f64 x))
(/.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) #s(literal -3 binary64)))
(/.f64 y (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)))
(/.f64 (sqrt.f64 x) (*.f64 x #s(literal 3 binary64)))
(/.f64 (sqrt.f64 x) (/.f64 #s(literal 1/3 binary64) y))
(/.f64 (*.f64 (sqrt.f64 x) #s(literal 1/3 binary64)) x)
(*.f64 (/.f64 #s(literal 3 binary64) (pow.f64 x #s(literal -1/2 binary64))) y)
(*.f64 (/.f64 y (pow.f64 x #s(literal -1/2 binary64))) #s(literal 3 binary64))
(/.f64 (/.f64 #s(literal 1/3 binary64) x) (pow.f64 x #s(literal -1/2 binary64)))
(/.f64 (/.f64 y #s(literal 1/3 binary64)) (pow.f64 x #s(literal -1/2 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 y #s(literal 1 binary64)))
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1/9 binary64) x))
(*.f64 (*.f64 (sqrt.f64 x) (+.f64 y #s(literal -1 binary64))) #s(literal 3 binary64))
(*.f64 (/.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 #s(literal 1/9 binary64) x))
(*.f64 (/.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64))
(*.f64 (/.f64 (-.f64 #s(literal 1/9 binary64) x) (sqrt.f64 x)) #s(literal 3 binary64))
(/.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) y)))
(/.f64 (*.f64 #s(literal 3 binary64) (-.f64 #s(literal 1/9 binary64) x)) (sqrt.f64 x))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 3 binary64) (-.f64 #s(literal 1/9 binary64) x)))
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)))
(*.f64 (*.f64 (sqrt.f64 x) (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64))) #s(literal 3 binary64))
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1/9 binary64) x)) #s(literal 3 binary64))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) y) #s(literal 3 binary64))
(/.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64))))
(/.f64 (*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) #s(literal -1/9 binary64)) (-.f64 #s(literal 0 binary64) x))
(/.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal 3 binary64)) (pow.f64 x #s(literal -1/2 binary64)))
Outputs
(/.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal 3 binary64)) (pow.f64 x #s(literal -1/2 binary64)))
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 y #s(literal 1 binary64)))
Calls

2 calls:

39.0ms
y
14.0ms
x
Results
AccuracySegmentsBranch
98.8%2x
98.3%3y
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes56.0ms (0.5%)

Counts
39 → 3
Calls
Call 1
Inputs
(*.f64 (sqrt.f64 x) #s(literal -3 binary64))
(*.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 1/3 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))
(*.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) y))
(*.f64 (sqrt.f64 x) (/.f64 #s(literal 1/3 binary64) x))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/3 binary64))
(*.f64 (*.f64 #s(literal 3 binary64) (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 y #s(literal 1/3 binary64)) (sqrt.f64 x))
(/.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) #s(literal -3 binary64)))
(/.f64 y (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)))
(/.f64 (sqrt.f64 x) (*.f64 x #s(literal 3 binary64)))
(/.f64 (sqrt.f64 x) (/.f64 #s(literal 1/3 binary64) y))
(/.f64 (*.f64 (sqrt.f64 x) #s(literal 1/3 binary64)) x)
(*.f64 (/.f64 #s(literal 3 binary64) (pow.f64 x #s(literal -1/2 binary64))) y)
(*.f64 (/.f64 y (pow.f64 x #s(literal -1/2 binary64))) #s(literal 3 binary64))
(/.f64 (/.f64 #s(literal 1/3 binary64) x) (pow.f64 x #s(literal -1/2 binary64)))
(/.f64 (/.f64 y #s(literal 1/3 binary64)) (pow.f64 x #s(literal -1/2 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 y #s(literal 1 binary64)))
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1/9 binary64) x))
(*.f64 (*.f64 (sqrt.f64 x) (+.f64 y #s(literal -1 binary64))) #s(literal 3 binary64))
(*.f64 (/.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 #s(literal 1/9 binary64) x))
(*.f64 (/.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64))
(*.f64 (/.f64 (-.f64 #s(literal 1/9 binary64) x) (sqrt.f64 x)) #s(literal 3 binary64))
(/.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) y)))
(/.f64 (*.f64 #s(literal 3 binary64) (-.f64 #s(literal 1/9 binary64) x)) (sqrt.f64 x))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 3 binary64) (-.f64 #s(literal 1/9 binary64) x)))
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)))
(*.f64 (*.f64 (sqrt.f64 x) (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64))) #s(literal 3 binary64))
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1/9 binary64) x)) #s(literal 3 binary64))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) y) #s(literal 3 binary64))
(/.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64))))
(/.f64 (*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) #s(literal -1/9 binary64)) (-.f64 #s(literal 0 binary64) x))
Outputs
(*.f64 (/.f64 y (pow.f64 x #s(literal -1/2 binary64))) #s(literal 3 binary64))
(*.f64 (/.f64 (-.f64 #s(literal 1/9 binary64) x) (sqrt.f64 x)) #s(literal 3 binary64))
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 y #s(literal 1 binary64)))
Calls

2 calls:

43.0ms
y
11.0ms
x
Results
AccuracySegmentsBranch
91.8%3y
85.7%2x
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes11.0ms (0.1%)

Counts
29 → 3
Calls
Call 1
Inputs
(*.f64 (sqrt.f64 x) #s(literal -3 binary64))
(*.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 1/3 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))
(*.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) y))
(*.f64 (sqrt.f64 x) (/.f64 #s(literal 1/3 binary64) x))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/3 binary64))
(*.f64 (*.f64 #s(literal 3 binary64) (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 y #s(literal 1/3 binary64)) (sqrt.f64 x))
(/.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) #s(literal -3 binary64)))
(/.f64 y (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)))
(/.f64 (sqrt.f64 x) (*.f64 x #s(literal 3 binary64)))
(/.f64 (sqrt.f64 x) (/.f64 #s(literal 1/3 binary64) y))
(/.f64 (*.f64 (sqrt.f64 x) #s(literal 1/3 binary64)) x)
(*.f64 (/.f64 #s(literal 3 binary64) (pow.f64 x #s(literal -1/2 binary64))) y)
(*.f64 (/.f64 y (pow.f64 x #s(literal -1/2 binary64))) #s(literal 3 binary64))
(/.f64 (/.f64 #s(literal 1/3 binary64) x) (pow.f64 x #s(literal -1/2 binary64)))
(/.f64 (/.f64 y #s(literal 1/3 binary64)) (pow.f64 x #s(literal -1/2 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 y #s(literal 1 binary64)))
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1/9 binary64) x))
(*.f64 (*.f64 (sqrt.f64 x) (+.f64 y #s(literal -1 binary64))) #s(literal 3 binary64))
(*.f64 (/.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 #s(literal 1/9 binary64) x))
(*.f64 (/.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64))
Outputs
(*.f64 (/.f64 y (pow.f64 x #s(literal -1/2 binary64))) #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 y #s(literal 1 binary64)))
Calls

1 calls:

9.0ms
y
Results
AccuracySegmentsBranch
91.8%3y
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes9.0ms (0.1%)

Counts
24 → 3
Calls
Call 1
Inputs
(*.f64 (sqrt.f64 x) #s(literal -3 binary64))
(*.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 1/3 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))
(*.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) y))
(*.f64 (sqrt.f64 x) (/.f64 #s(literal 1/3 binary64) x))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/3 binary64))
(*.f64 (*.f64 #s(literal 3 binary64) (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 y #s(literal 1/3 binary64)) (sqrt.f64 x))
(/.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) #s(literal -3 binary64)))
(/.f64 y (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)))
(/.f64 (sqrt.f64 x) (*.f64 x #s(literal 3 binary64)))
(/.f64 (sqrt.f64 x) (/.f64 #s(literal 1/3 binary64) y))
(/.f64 (*.f64 (sqrt.f64 x) #s(literal 1/3 binary64)) x)
(*.f64 (/.f64 #s(literal 3 binary64) (pow.f64 x #s(literal -1/2 binary64))) y)
(*.f64 (/.f64 y (pow.f64 x #s(literal -1/2 binary64))) #s(literal 3 binary64))
(/.f64 (/.f64 #s(literal 1/3 binary64) x) (pow.f64 x #s(literal -1/2 binary64)))
(/.f64 (/.f64 y #s(literal 1/3 binary64)) (pow.f64 x #s(literal -1/2 binary64)))
(*.f64 (sqrt.f64 x) (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64)))
Outputs
(*.f64 (/.f64 y (pow.f64 x #s(literal -1/2 binary64))) #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) (pow.f64 x #s(literal -1/2 binary64))) y)
Calls

1 calls:

8.0ms
y
Results
AccuracySegmentsBranch
91.2%3y
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes22.0ms (0.2%)

Counts
23 → 5
Calls
Call 1
Inputs
(*.f64 (sqrt.f64 x) #s(literal -3 binary64))
(*.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 1/3 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))
(*.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) y))
(*.f64 (sqrt.f64 x) (/.f64 #s(literal 1/3 binary64) x))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/3 binary64))
(*.f64 (*.f64 #s(literal 3 binary64) (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 y #s(literal 1/3 binary64)) (sqrt.f64 x))
(/.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) #s(literal -3 binary64)))
(/.f64 y (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)))
(/.f64 (sqrt.f64 x) (*.f64 x #s(literal 3 binary64)))
(/.f64 (sqrt.f64 x) (/.f64 #s(literal 1/3 binary64) y))
(/.f64 (*.f64 (sqrt.f64 x) #s(literal 1/3 binary64)) x)
(*.f64 (/.f64 #s(literal 3 binary64) (pow.f64 x #s(literal -1/2 binary64))) y)
(*.f64 (/.f64 y (pow.f64 x #s(literal -1/2 binary64))) #s(literal 3 binary64))
(/.f64 (/.f64 #s(literal 1/3 binary64) x) (pow.f64 x #s(literal -1/2 binary64)))
(/.f64 (/.f64 y #s(literal 1/3 binary64)) (pow.f64 x #s(literal -1/2 binary64)))
Outputs
(*.f64 (/.f64 y (pow.f64 x #s(literal -1/2 binary64))) #s(literal 3 binary64))
(/.f64 (sqrt.f64 x) (*.f64 x #s(literal 3 binary64)))
(*.f64 (sqrt.f64 x) #s(literal -3 binary64))
(/.f64 (/.f64 #s(literal 1/3 binary64) x) (pow.f64 x #s(literal -1/2 binary64)))
(*.f64 (/.f64 #s(literal 3 binary64) (pow.f64 x #s(literal -1/2 binary64))) y)
Calls

2 calls:

13.0ms
y
7.0ms
x
Results
AccuracySegmentsBranch
66.7%3x
71.1%5y
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes9.0ms (0.1%)

Counts
21 → 5
Calls
Call 1
Inputs
(*.f64 (sqrt.f64 x) #s(literal -3 binary64))
(*.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 1/3 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))
(*.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) y))
(*.f64 (sqrt.f64 x) (/.f64 #s(literal 1/3 binary64) x))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/3 binary64))
(*.f64 (*.f64 #s(literal 3 binary64) (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 y #s(literal 1/3 binary64)) (sqrt.f64 x))
(/.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) #s(literal -3 binary64)))
(/.f64 y (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)))
(/.f64 (sqrt.f64 x) (*.f64 x #s(literal 3 binary64)))
(/.f64 (sqrt.f64 x) (/.f64 #s(literal 1/3 binary64) y))
(/.f64 (*.f64 (sqrt.f64 x) #s(literal 1/3 binary64)) x)
(*.f64 (/.f64 #s(literal 3 binary64) (pow.f64 x #s(literal -1/2 binary64))) y)
(*.f64 (/.f64 y (pow.f64 x #s(literal -1/2 binary64))) #s(literal 3 binary64))
Outputs
(*.f64 (/.f64 y (pow.f64 x #s(literal -1/2 binary64))) #s(literal 3 binary64))
(/.f64 (sqrt.f64 x) (*.f64 x #s(literal 3 binary64)))
(*.f64 (sqrt.f64 x) #s(literal -3 binary64))
(/.f64 (sqrt.f64 x) (*.f64 x #s(literal 3 binary64)))
(*.f64 (/.f64 #s(literal 3 binary64) (pow.f64 x #s(literal -1/2 binary64))) y)
Calls

1 calls:

8.0ms
y
Results
AccuracySegmentsBranch
71.1%5y
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes8.0ms (0.1%)

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

1 calls:

6.0ms
y
Results
AccuracySegmentsBranch
71.0%5y
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes10.0ms (0.1%)

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

1 calls:

8.0ms
y
Results
AccuracySegmentsBranch
71.0%5y
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes7.0ms (0.1%)

Counts
16 → 5
Calls
Call 1
Inputs
(*.f64 (sqrt.f64 x) #s(literal -3 binary64))
(*.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 1/3 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))
(*.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) y))
(*.f64 (sqrt.f64 x) (/.f64 #s(literal 1/3 binary64) x))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/3 binary64))
(*.f64 (*.f64 #s(literal 3 binary64) (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 y #s(literal 1/3 binary64)) (sqrt.f64 x))
(/.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) #s(literal -3 binary64)))
(/.f64 y (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)))
Outputs
(*.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) y))
(/.f64 #s(literal 1/3 binary64) (sqrt.f64 x))
(*.f64 (sqrt.f64 x) #s(literal -3 binary64))
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1/3 binary64))
(*.f64 (/.f64 y #s(literal 1/3 binary64)) (sqrt.f64 x))
Calls

1 calls:

5.0ms
y
Results
AccuracySegmentsBranch
71.0%5y
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes6.0ms (0%)

Counts
13 → 5
Calls
Call 1
Inputs
(*.f64 (sqrt.f64 x) #s(literal -3 binary64))
(*.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 1/3 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))
(*.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) y))
(*.f64 (sqrt.f64 x) (/.f64 #s(literal 1/3 binary64) x))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/3 binary64))
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) y)
(*.f64 (*.f64 y #s(literal 3 binary64)) (sqrt.f64 x))
(*.f64 (*.f64 (sqrt.f64 x) y) #s(literal 3 binary64))
Outputs
(*.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) y))
(/.f64 #s(literal 1/3 binary64) (sqrt.f64 x))
(*.f64 (sqrt.f64 x) #s(literal -3 binary64))
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1/3 binary64))
(*.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) y))
Calls

1 calls:

4.0ms
y
Results
AccuracySegmentsBranch
71.0%5y
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes8.0ms (0.1%)

Counts
7 → 2
Calls
Call 1
Inputs
(*.f64 (sqrt.f64 x) #s(literal -3 binary64))
(*.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 1/3 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 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:

5.0ms
y
3.0ms
x
Results
AccuracySegmentsBranch
58.7%2x
39.1%3y
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes3.0ms (0%)

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

1 calls:

2.0ms
x
Results
AccuracySegmentsBranch
58.7%2x
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes3.0ms (0%)

Accuracy

Total -16.3b remaining (-34.8%)

Threshold costs -16.3b (-34.8%)

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

2 calls:

2.0ms
x
1.0ms
y
Results
AccuracySegmentsBranch
26.6%1y
26.6%1x
Compiler

Compiled 6 to 4 computations (33.3% saved)

bsearch15.0ms (0.1%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
13.0ms
7937348.100142667
629303117.1837344
Results
9.0ms112×0valid
Compiler

Compiled 196 to 156 computations (20.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 5.0ms
ival-mult: 2.0ms (36.8% of total)
ival-div: 1.0ms (18.4% of total)
ival-sub: 1.0ms (18.4% of total)
ival-add: 1.0ms (18.4% of total)
ival-sqrt: 1.0ms (18.4% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch15.0ms (0.1%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
0.0ms
3.2486720514173495e-9
3.2918707027384616e-9
13.0ms
-5.613051286538837e+44
-3.2176947370784383e+43
Results
9.0ms112×0valid
Compiler

Compiled 168 to 135 computations (19.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 5.0ms
ival-mult: 2.0ms (37.5% of total)
ival-div: 1.0ms (18.7% of total)
ival-sub: 1.0ms (18.7% of total)
ival-add: 1.0ms (18.7% of total)
ival-sqrt: 1.0ms (18.7% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch16.0ms (0.1%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
0.0ms
3.2486720514173495e-9
3.2918707027384616e-9
15.0ms
-5.613051286538837e+44
-3.2176947370784383e+43
Results
9.0ms112×0valid
Compiler

Compiled 168 to 135 computations (19.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 5.0ms
ival-mult: 2.0ms (36.7% of total)
ival-div: 1.0ms (18.3% of total)
ival-sub: 1.0ms (18.3% of total)
ival-add: 1.0ms (18.3% of total)
ival-sqrt: 1.0ms (18.3% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch37.0ms (0.3%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
21.0ms
2.501732799477564e-6
1591662016167538200.0
12.0ms
-5.613051286538837e+44
-3.2176947370784383e+43
Results
23.0ms288×0valid
Compiler

Compiled 399 to 322 computations (19.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 15.0ms
ival-mult: 6.0ms (39.7% of total)
ival-div: 4.0ms (26.5% of total)
ival-sqrt: 2.0ms (13.2% of total)
ival-sub: 1.0ms (6.6% of total)
ival-add: 1.0ms (6.6% of total)
const: 1.0ms (6.6% of total)
backward-pass: 0.0ms (0% of total)

bsearch65.0ms (0.6%)

Algorithm
4×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
22.0ms
2.501732799477564e-6
1591662016167538200.0
9.0ms
2.2163035527931464e-65
5.867570441643192e-65
15.0ms
-2.0499157123246293e-302
-2.162469989175097e-306
13.0ms
-5.613051286538837e+44
-3.2176947370784383e+43
Results
42.0ms496×0valid
Compiler

Compiled 587 to 471 computations (19.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 26.0ms
ival-mult: 12.0ms (46.3% of total)
ival-div: 4.0ms (15.4% of total)
ival-sqrt: 4.0ms (15.4% of total)
ival-add: 3.0ms (11.6% of total)
ival-sub: 2.0ms (7.7% of total)
const: 1.0ms (3.9% of total)
backward-pass: 0.0ms (0% of total)

bsearch67.0ms (0.6%)

Algorithm
4×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
21.0ms
2.501732799477564e-6
1591662016167538200.0
9.0ms
2.2163035527931464e-65
5.867570441643192e-65
15.0ms
-2.0499157123246293e-302
-2.162469989175097e-306
14.0ms
-5.613051286538837e+44
-3.2176947370784383e+43
Results
42.0ms496×0valid
Compiler

Compiled 571 to 455 computations (20.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 25.0ms
ival-mult: 11.0ms (43.7% of total)
ival-div: 4.0ms (15.9% of total)
ival-sqrt: 4.0ms (15.9% of total)
ival-sub: 2.0ms (7.9% of total)
ival-add: 2.0ms (7.9% of total)
const: 1.0ms (4% of total)
backward-pass: 0.0ms (0% of total)

bsearch68.0ms (0.6%)

Algorithm
4×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
22.0ms
2.501732799477564e-6
1591662016167538200.0
11.0ms
2.2163035527931464e-65
5.867570441643192e-65
14.0ms
-2.0499157123246293e-302
-2.162469989175097e-306
15.0ms
-5.613051286538837e+44
-3.2176947370784383e+43
Results
45.0ms496×0valid
Compiler

Compiled 571 to 455 computations (20.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 31.0ms
ival-mult: 10.0ms (32.4% of total)
ival-div: 6.0ms (19.4% of total)
ival-sub: 5.0ms (16.2% of total)
ival-add: 5.0ms (16.2% of total)
ival-sqrt: 4.0ms (13% of total)
const: 1.0ms (3.2% of total)
backward-pass: 0.0ms (0% of total)

bsearch73.0ms (0.6%)

Algorithm
4×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
21.0ms
2.501732799477564e-6
1591662016167538200.0
11.0ms
2.2163035527931464e-65
5.867570441643192e-65
22.0ms
-2.0499157123246293e-302
-2.162469989175097e-306
12.0ms
-5.613051286538837e+44
-3.2176947370784383e+43
Results
51.0ms496×0valid
Compiler

Compiled 553 to 437 computations (21% saved)

Precisions
Click to see histograms. Total time spent on operations: 36.0ms
ival-mult: 20.0ms (55.1% of total)
ival-sqrt: 6.0ms (16.5% of total)
ival-div: 4.0ms (11% of total)
ival-sub: 2.0ms (5.5% of total)
ival-add: 2.0ms (5.5% of total)
const: 1.0ms (2.8% of total)
backward-pass: 0.0ms (0% of total)

bsearch100.0ms (0.8%)

Algorithm
4×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
41.0ms
2.501732799477564e-6
1591662016167538200.0
9.0ms
2.2163035527931464e-65
5.867570441643192e-65
23.0ms
-2.0499157123246293e-302
-2.162469989175097e-306
19.0ms
-4.619307242492106e+41
-3.0679379424543648e+35
Results
73.0ms528×0valid
Compiler

Compiled 539 to 448 computations (16.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 37.0ms
ival-mult: 19.0ms (51.7% of total)
ival-sqrt: 7.0ms (19% of total)
ival-div: 4.0ms (10.9% of total)
ival-sub: 3.0ms (8.2% of total)
ival-add: 3.0ms (8.2% of total)
const: 1.0ms (2.7% of total)
backward-pass: 0.0ms (0% of total)

bsearch82.0ms (0.7%)

Algorithm
4×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
21.0ms
2.501732799477564e-6
1591662016167538200.0
9.0ms
2.2163035527931464e-65
5.867570441643192e-65
26.0ms
-2.0499157123246293e-302
-2.162469989175097e-306
18.0ms
-4.619307242492106e+41
-3.0679379424543648e+35
Results
55.0ms528×0valid
Compiler

Compiled 539 to 448 computations (16.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 28.0ms
ival-mult: 13.0ms (46.3% of total)
ival-div: 4.0ms (14.2% of total)
ival-sqrt: 4.0ms (14.2% of total)
ival-sub: 3.0ms (10.7% of total)
ival-add: 3.0ms (10.7% of total)
const: 1.0ms (3.6% of total)
backward-pass: 0.0ms (0% of total)

bsearch17.0ms (0.1%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
16.0ms
7.871050650065237e-8
0.0018784180401638327
Results
11.0ms128×0valid
Compiler

Compiled 141 to 120 computations (14.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 8.0ms
ival-mult: 3.0ms (38.2% of total)
const: 2.0ms (25.5% of total)
ival-div: 1.0ms (12.7% of total)
ival-sub: 1.0ms (12.7% of total)
ival-add: 1.0ms (12.7% of total)
ival-sqrt: 1.0ms (12.7% of total)
backward-pass: 0.0ms (0% of total)

bsearch16.0ms (0.1%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
14.0ms
7.871050650065237e-8
0.0018784180401638327
Results
10.0ms128×0valid
Compiler

Compiled 133 to 112 computations (15.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 6.0ms
ival-mult: 3.0ms (49.3% of total)
ival-div: 1.0ms (16.4% of total)
ival-sub: 1.0ms (16.4% of total)
ival-add: 1.0ms (16.4% of total)
ival-sqrt: 1.0ms (16.4% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

simplify21.0ms (0.2%)

Algorithm
1×egg-herbie
Rules
40×*-commutative_binary64
22×+-commutative_binary64
10×sub-neg_binary64
4×mul-1-neg_binary64
4×neg-sub0_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0139447
1171447
2178447
3186447
4187447
Stop Event
1×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 (*.f64 (sqrt.f64 x) (+.f64 y (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)))) #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))))
(if (<=.f64 x #s(literal 8000000 binary64)) (/.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal 3 binary64)) (pow.f64 x #s(literal -1/2 binary64))) (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 y #s(literal 1 binary64))))
(if (<=.f64 y #s(literal -70000000000000002213544858001278968814108672 binary64)) (*.f64 (/.f64 y (pow.f64 x #s(literal -1/2 binary64))) #s(literal 3 binary64)) (if (<=.f64 y #s(literal 3929008913747545/1208925819614629174706176 binary64)) (*.f64 (/.f64 (-.f64 #s(literal 1/9 binary64) x) (sqrt.f64 x)) #s(literal 3 binary64)) (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 y #s(literal 1 binary64)))))
(if (<=.f64 y #s(literal -290000000000000017659131823962191898681016320 binary64)) (*.f64 (/.f64 y (pow.f64 x #s(literal -1/2 binary64))) #s(literal 3 binary64)) (if (<=.f64 y #s(literal 3929008913747545/1208925819614629174706176 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 y #s(literal 1 binary64)))))
(if (<=.f64 y #s(literal -200000000000000017642722810612845281403731968 binary64)) (*.f64 (/.f64 y (pow.f64 x #s(literal -1/2 binary64))) #s(literal 3 binary64)) (if (<=.f64 y #s(literal 7500000000000 binary64)) (*.f64 (sqrt.f64 x) (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64))) (*.f64 (/.f64 #s(literal 3 binary64) (pow.f64 x #s(literal -1/2 binary64))) y)))
(if (<=.f64 y #s(literal -32499999999999998905534331011370478550908928 binary64)) (*.f64 (/.f64 y (pow.f64 x #s(literal -1/2 binary64))) #s(literal 3 binary64)) (if (<=.f64 y #s(literal -7906338019816821/197658450495420525734858737030192682665582665785295037457911482448662440984370455949180062208434691889831130726871886632216610095103313942252942773379627451095231859645084337269987214591887906583241960623508540106017585433031926463494241558251132379239072320812850360890950600210186037629088210457662115491511433340911616 binary64)) (/.f64 (sqrt.f64 x) (*.f64 x #s(literal 3 binary64))) (if (<=.f64 y #s(literal 1096782669255859/29642774844752946028434172162224104410437116074403984394101141506025761187823616 binary64)) (*.f64 (sqrt.f64 x) #s(literal -3 binary64)) (if (<=.f64 y #s(literal 1200000 binary64)) (/.f64 (/.f64 #s(literal 1/3 binary64) x) (pow.f64 x #s(literal -1/2 binary64))) (*.f64 (/.f64 #s(literal 3 binary64) (pow.f64 x #s(literal -1/2 binary64))) y)))))
(if (<=.f64 y #s(literal -54999999999999998909636584348707132870230016 binary64)) (*.f64 (/.f64 y (pow.f64 x #s(literal -1/2 binary64))) #s(literal 3 binary64)) (if (<=.f64 y #s(literal -8107084883601233/772103322247736428651791941524190166662432288223808740069966728315087660095197093551484618001698015194652854401843307157096133183997320086925557708514169730840749451738610692460887556999562135090788908685580234789131193097780962748024381086918485856402626253175196722230275782071039209488625822100242638638716536487936 binary64)) (/.f64 (sqrt.f64 x) (*.f64 x #s(literal 3 binary64))) (if (<=.f64 y #s(literal 281606361025153/7410693711188236507108543040556026102609279018600996098525285376506440296955904 binary64)) (*.f64 (sqrt.f64 x) #s(literal -3 binary64)) (if (<=.f64 y #s(literal 4200000000 binary64)) (/.f64 (sqrt.f64 x) (*.f64 x #s(literal 3 binary64))) (*.f64 (/.f64 #s(literal 3 binary64) (pow.f64 x #s(literal -1/2 binary64))) y)))))
(if (<=.f64 y #s(literal -32499999999999998905534331011370478550908928 binary64)) (*.f64 (/.f64 #s(literal 3 binary64) (pow.f64 x #s(literal -1/2 binary64))) y) (if (<=.f64 y #s(literal -1080944651146831/3088413288990945714607167766096760666649729152895234960279866913260350640380788374205938472006792060778611417607373228628384532735989280347702230834056678923362997806954442769843550227998248540363155634742320939156524772391123850992097524347673943425610505012700786888921103128284156837954503288400970554554866145951744 binary64)) (/.f64 (sqrt.f64 x) (*.f64 x #s(literal 3 binary64))) (if (<=.f64 y #s(literal 281606361025153/7410693711188236507108543040556026102609279018600996098525285376506440296955904 binary64)) (*.f64 (sqrt.f64 x) #s(literal -3 binary64)) (if (<=.f64 y #s(literal 840000000000 binary64)) (/.f64 (sqrt.f64 x) (*.f64 x #s(literal 3 binary64))) (*.f64 (/.f64 #s(literal 3 binary64) (pow.f64 x #s(literal -1/2 binary64))) y)))))
(if (<=.f64 y #s(literal -32499999999999998905534331011370478550908928 binary64)) (*.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) y)) (if (<=.f64 y #s(literal -6325070415853457/395316900990841051469717474060385365331165331570590074915822964897324881968740911898360124416869383779662261453743773264433220190206627884505885546759254902190463719290168674539974429183775813166483921247017080212035170866063852926988483116502264758478144641625700721781901200420372075258176420915324230983022866681823232 binary64)) (/.f64 (sqrt.f64 x) (*.f64 x #s(literal 3 binary64))) (if (<=.f64 y #s(literal 2163922563666965/59285549689505892056868344324448208820874232148807968788202283012051522375647232 binary64)) (*.f64 (sqrt.f64 x) #s(literal -3 binary64)) (if (<=.f64 y #s(literal 1200000000000 binary64)) (/.f64 (sqrt.f64 x) (*.f64 x #s(literal 3 binary64))) (*.f64 (/.f64 y #s(literal 1/3 binary64)) (sqrt.f64 x))))))
(if (<=.f64 y #s(literal -449999999999999980424911239812862705664 binary64)) (*.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) y)) (if (<=.f64 y #s(literal -8493136544725101/772103322247736428651791941524190166662432288223808740069966728315087660095197093551484618001698015194652854401843307157096133183997320086925557708514169730840749451738610692460887556999562135090788908685580234789131193097780962748024381086918485856402626253175196722230275782071039209488625822100242638638716536487936 binary64)) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (if (<=.f64 y #s(literal 2163922563666965/59285549689505892056868344324448208820874232148807968788202283012051522375647232 binary64)) (*.f64 (sqrt.f64 x) #s(literal -3 binary64)) (if (<=.f64 y #s(literal 1920000000000 binary64)) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1/3 binary64)) (*.f64 (/.f64 y #s(literal 1/3 binary64)) (sqrt.f64 x))))))
(if (<=.f64 y #s(literal -309999999999999986587086119803813888 binary64)) (*.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) y)) (if (<=.f64 y #s(literal -6794509235780081/12353653155963782858428671064387042666598916611580939841119467653041402561523153496823753888027168243114445670429492914513538130943957121390808923336226715693451991227817771079374200911992994161452622538969283756626099089564495403968390097390695773702442020050803147555684412513136627351818013153603882218219464583806976 binary64)) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (if (<=.f64 y #s(literal 2845706385096283/59285549689505892056868344324448208820874232148807968788202283012051522375647232 binary64)) (*.f64 (sqrt.f64 x) #s(literal -3 binary64)) (if (<=.f64 y #s(literal 1700000 binary64)) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1/3 binary64)) (*.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) y))))))
(if (<=.f64 x #s(literal 2132904783522667/1152921504606846976 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 2132904783522667/1152921504606846976 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 (*.f64 (sqrt.f64 x) (+.f64 y (+.f64 (/.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 y (+.f64 (/.f64 #s(literal 1/9 binary64) x) #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))))
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(if (<=.f64 y #s(literal -54999999999999998909636584348707132870230016 binary64)) (*.f64 (/.f64 y (pow.f64 x #s(literal -1/2 binary64))) #s(literal 3 binary64)) (if (<=.f64 y #s(literal -8107084883601233/772103322247736428651791941524190166662432288223808740069966728315087660095197093551484618001698015194652854401843307157096133183997320086925557708514169730840749451738610692460887556999562135090788908685580234789131193097780962748024381086918485856402626253175196722230275782071039209488625822100242638638716536487936 binary64)) (/.f64 (sqrt.f64 x) (*.f64 x #s(literal 3 binary64))) (if (<=.f64 y #s(literal 281606361025153/7410693711188236507108543040556026102609279018600996098525285376506440296955904 binary64)) (*.f64 (sqrt.f64 x) #s(literal -3 binary64)) (if (<=.f64 y #s(literal 4200000000 binary64)) (/.f64 (sqrt.f64 x) (*.f64 x #s(literal 3 binary64))) (*.f64 (/.f64 #s(literal 3 binary64) (pow.f64 x #s(literal -1/2 binary64))) y)))))
(if (<=.f64 y #s(literal -54999999999999998909636584348707132870230016 binary64)) (*.f64 #s(literal 3 binary64) (/.f64 y (pow.f64 x #s(literal -1/2 binary64)))) (if (<=.f64 y #s(literal -8107084883601233/772103322247736428651791941524190166662432288223808740069966728315087660095197093551484618001698015194652854401843307157096133183997320086925557708514169730840749451738610692460887556999562135090788908685580234789131193097780962748024381086918485856402626253175196722230275782071039209488625822100242638638716536487936 binary64)) (/.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) x)) (if (<=.f64 y #s(literal 281606361025153/7410693711188236507108543040556026102609279018600996098525285376506440296955904 binary64)) (*.f64 (sqrt.f64 x) #s(literal -3 binary64)) (if (<=.f64 y #s(literal 4200000000 binary64)) (/.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) x)) (*.f64 y (/.f64 #s(literal 3 binary64) (pow.f64 x #s(literal -1/2 binary64))))))))
(if (<=.f64 y #s(literal -32499999999999998905534331011370478550908928 binary64)) (*.f64 (/.f64 #s(literal 3 binary64) (pow.f64 x #s(literal -1/2 binary64))) y) (if (<=.f64 y #s(literal -1080944651146831/3088413288990945714607167766096760666649729152895234960279866913260350640380788374205938472006792060778611417607373228628384532735989280347702230834056678923362997806954442769843550227998248540363155634742320939156524772391123850992097524347673943425610505012700786888921103128284156837954503288400970554554866145951744 binary64)) (/.f64 (sqrt.f64 x) (*.f64 x #s(literal 3 binary64))) (if (<=.f64 y #s(literal 281606361025153/7410693711188236507108543040556026102609279018600996098525285376506440296955904 binary64)) (*.f64 (sqrt.f64 x) #s(literal -3 binary64)) (if (<=.f64 y #s(literal 840000000000 binary64)) (/.f64 (sqrt.f64 x) (*.f64 x #s(literal 3 binary64))) (*.f64 (/.f64 #s(literal 3 binary64) (pow.f64 x #s(literal -1/2 binary64))) y)))))
(if (<=.f64 y #s(literal -32499999999999998905534331011370478550908928 binary64)) (*.f64 y (/.f64 #s(literal 3 binary64) (pow.f64 x #s(literal -1/2 binary64)))) (if (<=.f64 y #s(literal -1080944651146831/3088413288990945714607167766096760666649729152895234960279866913260350640380788374205938472006792060778611417607373228628384532735989280347702230834056678923362997806954442769843550227998248540363155634742320939156524772391123850992097524347673943425610505012700786888921103128284156837954503288400970554554866145951744 binary64)) (/.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) x)) (if (<=.f64 y #s(literal 281606361025153/7410693711188236507108543040556026102609279018600996098525285376506440296955904 binary64)) (*.f64 (sqrt.f64 x) #s(literal -3 binary64)) (if (<=.f64 y #s(literal 840000000000 binary64)) (/.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) x)) (*.f64 y (/.f64 #s(literal 3 binary64) (pow.f64 x #s(literal -1/2 binary64))))))))
(if (<=.f64 y #s(literal -32499999999999998905534331011370478550908928 binary64)) (*.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) y)) (if (<=.f64 y #s(literal -6325070415853457/395316900990841051469717474060385365331165331570590074915822964897324881968740911898360124416869383779662261453743773264433220190206627884505885546759254902190463719290168674539974429183775813166483921247017080212035170866063852926988483116502264758478144641625700721781901200420372075258176420915324230983022866681823232 binary64)) (/.f64 (sqrt.f64 x) (*.f64 x #s(literal 3 binary64))) (if (<=.f64 y #s(literal 2163922563666965/59285549689505892056868344324448208820874232148807968788202283012051522375647232 binary64)) (*.f64 (sqrt.f64 x) #s(literal -3 binary64)) (if (<=.f64 y #s(literal 1200000000000 binary64)) (/.f64 (sqrt.f64 x) (*.f64 x #s(literal 3 binary64))) (*.f64 (/.f64 y #s(literal 1/3 binary64)) (sqrt.f64 x))))))
(if (<=.f64 y #s(literal -32499999999999998905534331011370478550908928 binary64)) (*.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) y)) (if (<=.f64 y #s(literal -6325070415853457/395316900990841051469717474060385365331165331570590074915822964897324881968740911898360124416869383779662261453743773264433220190206627884505885546759254902190463719290168674539974429183775813166483921247017080212035170866063852926988483116502264758478144641625700721781901200420372075258176420915324230983022866681823232 binary64)) (/.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) x)) (if (<=.f64 y #s(literal 2163922563666965/59285549689505892056868344324448208820874232148807968788202283012051522375647232 binary64)) (*.f64 (sqrt.f64 x) #s(literal -3 binary64)) (if (<=.f64 y #s(literal 1200000000000 binary64)) (/.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) x)) (*.f64 (sqrt.f64 x) (/.f64 y #s(literal 1/3 binary64)))))))
(if (<=.f64 y #s(literal -449999999999999980424911239812862705664 binary64)) (*.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) y)) (if (<=.f64 y #s(literal -8493136544725101/772103322247736428651791941524190166662432288223808740069966728315087660095197093551484618001698015194652854401843307157096133183997320086925557708514169730840749451738610692460887556999562135090788908685580234789131193097780962748024381086918485856402626253175196722230275782071039209488625822100242638638716536487936 binary64)) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (if (<=.f64 y #s(literal 2163922563666965/59285549689505892056868344324448208820874232148807968788202283012051522375647232 binary64)) (*.f64 (sqrt.f64 x) #s(literal -3 binary64)) (if (<=.f64 y #s(literal 1920000000000 binary64)) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1/3 binary64)) (*.f64 (/.f64 y #s(literal 1/3 binary64)) (sqrt.f64 x))))))
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(if (<=.f64 x #s(literal 2132904783522667/1152921504606846976 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 2132904783522667/1152921504606846976 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))

soundness3.7s (31.4%)

Rules
7456×*-lowering-*.f32
7456×*-lowering-*.f64
5030×*-lowering-*.f32
5030×*-lowering-*.f64
4652×*-lowering-*.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01321715
13801535
211861501
334701486
083751486
01962
111256
2107456
0827656
01301241
13861181
212631154
344371154
086151154
01442111
14631997
216091995
352031995
085021995
034124
1231114
22215114
09206114
027105
115595
2118791
0838091
01213
12811
27211
320011
442611
561311
6126611
7288511
8603211
9766011
10784711
11787711
12787811
13787811
0822211
02690
113178
2101778
0818278
07324867
124194433
082904433
Stop Event
1×fuel
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
Compiler

Compiled 1502 to 976 computations (35% saved)

preprocess106.0ms (0.9%)

Compiler

Compiled 968 to 326 computations (66.3% saved)

end0.0ms (0%)

Profiling

Loading profile data...