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

Time bar (total: 11.9s)

analyze21.0ms (0.2%)

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

Compiled 17 to 13 computations (23.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 7.0ms
ival-mult: 2.0ms (28.9% of total)
ival-div: 1.0ms (14.5% of total)
ival-sub: 1.0ms (14.5% of total)
ival-add: 1.0ms (14.5% of total)
ival-sqrt: 1.0ms (14.5% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

sample1.3s (10.7%)

Results
927.0ms8256×0valid
22.0ms245×0invalid
Precisions
Click to see histograms. Total time spent on operations: 615.0ms
ival-mult: 204.0ms (33.2% of total)
ival-sqrt: 161.0ms (26.2% of total)
ival-div: 88.0ms (14.3% of total)
ival-add: 77.0ms (12.5% of total)
ival-sub: 60.0ms (9.8% of total)
const: 21.0ms (3.4% of total)
backward-pass: 3.0ms (0.5% of total)
Bogosity

preprocess262.0ms (2.2%)

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)))

explain141.0ms (1.2%)

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
84.0ms512×0valid
Compiler

Compiled 120 to 38 computations (68.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 27.0ms
ival-mult: 11.0ms (41.2% of total)
ival-div: 4.0ms (15% of total)
ival-sqrt: 4.0ms (15% of total)
ival-sub: 3.0ms (11.2% of total)
ival-add: 3.0ms (11.2% of total)
const: 1.0ms (3.7% of total)
backward-pass: 0.0ms (0% of total)

eval0.0ms (0%)

Compiler

Compiled 14 to 11 computations (21.4% saved)

prune74.0ms (0.6%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
▶99.4%
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64)))
▶99.3%
(*.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)

simplify192.0ms (1.6%)

Algorithm
1×egg-herbie
Localize:

Found 8 expressions of interest:

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

localize136.0ms (1.1%)

Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64))))
✓accuracy99.7%
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64)))
✓accuracy99.6%
(*.f64 #s(literal 3 binary64) (sqrt.f64 x))
✓accuracy99.3%
(/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))
✓accuracy100.0%
(+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))
✓accuracy99.9%
(+.f64 (*.f64 #s(literal 3 binary64) y) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)))
✓accuracy99.4%
(*.f64 (sqrt.f64 x) (+.f64 (*.f64 #s(literal 3 binary64) y) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))))
✓accuracy99.4%
(/.f64 #s(literal 1/3 binary64) x)
Results
101.0ms239×0valid
7.0ms7×2valid
5.0ms10×1valid
Compiler

Compiled 91 to 20 computations (78% saved)

Precisions
Click to see histograms. Total time spent on operations: 33.0ms
ival-mult: 12.0ms (36.3% of total)
ival-add: 6.0ms (18.1% of total)
ival-div: 5.0ms (15.1% of total)
...c/correct-round.rkt:119:19: 5.0ms (15.1% of total)
ival-sqrt: 3.0ms (9.1% of total)
const: 1.0ms (3% of total)
backward-pass: 1.0ms (3% of total)
ival-sub: 1.0ms (3% of total)

series16.0ms (0.1%)

Counts
10 → 168
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 (/ 1 (* x 9))>
#<alt (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1))>
#<alt (* 3 (sqrt x))>
#<alt (/ 1/3 x)>
#<alt (+ -3 (/ 1/3 x))>
#<alt (+ y (/ 1 (* x 9)))>
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 (/ 1/9 x)>
#<alt (/ 1/9 x)>
#<alt (/ 1/9 x)>
#<alt (/ 1/9 x)>
#<alt (/ 1/9 x)>
#<alt (/ 1/9 x)>
#<alt (/ 1/9 x)>
#<alt (/ 1/9 x)>
#<alt (/ 1/9 x)>
#<alt (/ 1/9 x)>
#<alt (/ 1/9 x)>
#<alt (/ 1/9 x)>
#<alt (* 1/3 (sqrt (/ 1 x)))>
#<alt (/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) (- y 1)))) x)>
#<alt (/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) (- y 1)))) x)>
#<alt (/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) (- y 1)))) x)>
#<alt (* 3 (* (sqrt x) (- y 1)))>
#<alt (* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) (- y 1)))))>
#<alt (* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) (- y 1)))))>
#<alt (* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) (- y 1)))))>
#<alt (* -3 (* (sqrt x) (* (pow (sqrt -1) 2) (- y 1))))>
#<alt (* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1)))))))>
#<alt (* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1)))))))>
#<alt (* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1)))))))>
#<alt (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1)))>
#<alt (+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1))))>
#<alt (+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1))))>
#<alt (+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1))))>
#<alt (* 3 (* (sqrt x) y))>
#<alt (* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))>
#<alt (* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))>
#<alt (* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))>
#<alt (* 3 (* (sqrt x) y))>
#<alt (* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))))>
#<alt (* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))))>
#<alt (* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))))>
#<alt (* 3 (sqrt x))>
#<alt (* 3 (sqrt x))>
#<alt (* 3 (sqrt x))>
#<alt (* 3 (sqrt x))>
#<alt (* 3 (sqrt x))>
#<alt (* 3 (sqrt x))>
#<alt (* 3 (sqrt x))>
#<alt (* 3 (sqrt x))>
#<alt (* -3 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* -3 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* -3 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* -3 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (/ 1/3 x)>
#<alt (/ 1/3 x)>
#<alt (/ 1/3 x)>
#<alt (/ 1/3 x)>
#<alt (/ 1/3 x)>
#<alt (/ 1/3 x)>
#<alt (/ 1/3 x)>
#<alt (/ 1/3 x)>
#<alt (/ 1/3 x)>
#<alt (/ 1/3 x)>
#<alt (/ 1/3 x)>
#<alt (/ 1/3 x)>
#<alt (/ 1/3 x)>
#<alt (/ (+ 1/3 (* -3 x)) x)>
#<alt (/ (+ 1/3 (* -3 x)) x)>
#<alt (/ (+ 1/3 (* -3 x)) x)>
#<alt -3>
#<alt (- (* 1/3 (/ 1 x)) 3)>
#<alt (- (* 1/3 (/ 1 x)) 3)>
#<alt (- (* 1/3 (/ 1 x)) 3)>
#<alt -3>
#<alt (- (* 1/3 (/ 1 x)) 3)>
#<alt (- (* 1/3 (/ 1 x)) 3)>
#<alt (- (* 1/3 (/ 1 x)) 3)>
#<alt (/ 1/9 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)))>
Calls

42 calls:

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

rewrite409.0ms (3.4%)

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
01959
111255
2107455
0827855
Stop Event
1×iter limit
1×node limit
Counts
10 → 297
Calls
Call 1
Inputs
(* (sqrt x) (+ (* 3 y) (+ -3 (/ 1/3 x))))
(sqrt x)
(+ (* 3 y) (+ -3 (/ 1/3 x)))
(* 3 y)
(/ 1 (* x 9))
(* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1))
(* 3 (sqrt x))
(/ 1/3 x)
(+ -3 (/ 1/3 x))
(+ y (/ 1 (* x 9)))
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 (pow.f64 (*.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) y)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sqrt.f64 x) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))) #s(literal 3 binary64)))))
(/.f64 #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 #s(literal 3 binary64) y) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))) (*.f64 (sqrt.f64 x) (-.f64 (*.f64 #s(literal 9 binary64) (*.f64 y y)) (*.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.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 #s(literal 3 binary64) y) (+.f64 #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 (pow.f64 (*.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) y)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sqrt.f64 x) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))) #s(literal 3 binary64))) (+.f64 (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 #s(literal 3 binary64) y) (+.f64 #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 #s(literal 3 binary64) y) (+.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 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 #s(literal 3 binary64) y) (+.f64 #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 #s(literal 3 binary64) y) (+.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) (/.f64 #s(literal 1/3 binary64) x))) #s(literal 3 binary64)) (pow.f64 (*.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) y)) #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 (pow.f64 (*.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) y)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sqrt.f64 x) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (*.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) y)) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (sqrt.f64 x) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))) #s(literal 2 binary64)) (*.f64 (*.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) y)) (*.f64 (sqrt.f64 x) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))))))))
(*.f64 (-.f64 (pow.f64 (*.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) y)) #s(literal 2 binary64)) (pow.f64 (*.f64 (sqrt.f64 x) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) y)) (*.f64 (sqrt.f64 x) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))))))
(*.f64 (*.f64 (sqrt.f64 x) (+.f64 (*.f64 (*.f64 y (*.f64 y y)) #s(literal 27 binary64)) (*.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)) (*.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)))))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 9 binary64) (*.f64 y y)) (*.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)) (-.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)) (*.f64 #s(literal 3 binary64) y))))))
(*.f64 (*.f64 (sqrt.f64 x) (-.f64 (*.f64 #s(literal 9 binary64) (*.f64 y y)) (*.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 #s(literal 3 binary64) y) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)))))
(*.f64 (*.f64 (+.f64 (*.f64 (*.f64 y (*.f64 y y)) #s(literal 27 binary64)) (*.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)) (*.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))))) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 9 binary64) (*.f64 y y)) (*.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)) (-.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)) (*.f64 #s(literal 3 binary64) y))))))
(*.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 #s(literal 3 binary64) y) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)))))
(exp.f64 (*.f64 (log.f64 x) #s(literal 1/2 binary64)))
(sqrt.f64 x)
(pow.f64 x #s(literal 1/2 binary64))
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(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal -27 binary64) (/.f64 #s(literal 1/27 binary64) (*.f64 x (*.f64 x x)))))) (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 9 binary64) (/.f64 (-.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1/3 binary64)) #s(literal -1 binary64)) x)))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 9 binary64) (/.f64 #s(literal 1/9 binary64) (*.f64 x x))))) (neg.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)))))
(/.f64 (neg.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) (*.f64 x x)) #s(literal -9 binary64))) (neg.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 3 binary64))))
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(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)))
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(*.f64 (-.f64 #s(literal 9 binary64) (/.f64 #s(literal 1/9 binary64) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))))
(*.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal -27 binary64) (/.f64 #s(literal 1/27 binary64) (*.f64 x (*.f64 x x))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 9 binary64) (/.f64 (-.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1/3 binary64)) #s(literal -1 binary64)) x)))))
(*.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 9 binary64) (/.f64 #s(literal 1/9 binary64) (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)))))
(*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) (*.f64 x x)) #s(literal -9 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 3 binary64))))
(+.f64 y (/.f64 #s(literal 1/9 binary64) x))
(+.f64 (/.f64 #s(literal 1/9 binary64) x) y)
(+.f64 (/.f64 (*.f64 y y) (-.f64 y (/.f64 #s(literal 1/9 binary64) x))) (neg.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 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal -9 binary64))))
(-.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 1 binary64) (*.f64 x #s(literal -9 binary64))) 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)))
(/.f64 #s(literal 1 binary64) (/.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 y (*.f64 y y)) (/.f64 #s(literal 1/729 binary64) (*.f64 x (*.f64 x x))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) y) (-.f64 (/.f64 (/.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)))))
(/.f64 (+.f64 (*.f64 y (*.f64 y y)) (/.f64 #s(literal 1/729 binary64) (*.f64 x (*.f64 x x)))) (+.f64 (*.f64 y y) (/.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) y) (*.f64 x #s(literal 9 binary64)))))
(/.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))))))
(/.f64 (-.f64 (*.f64 y y) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) #s(literal 81 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 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)))

simplify181.0ms (1.5%)

Algorithm
1×egg-herbie
Rules
4368×*-lowering-*.f32
4368×*-lowering-*.f64
1720×fnmadd-define
948×associate-*r*
942×fma-lowering-fma.f32
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01211167
13561131
211681095
341391089
083091089
Stop Event
1×iter limit
1×node limit
Counts
168 → 168
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)
(/ 1/9 x)
(/ 1/9 x)
(/ 1/9 x)
(/ 1/9 x)
(/ 1/9 x)
(/ 1/9 x)
(/ 1/9 x)
(/ 1/9 x)
(/ 1/9 x)
(/ 1/9 x)
(/ 1/9 x)
(/ 1/9 x)
(* 1/3 (sqrt (/ 1 x)))
(/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) (- y 1)))) x)
(/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) (- y 1)))) x)
(/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) (- y 1)))) x)
(* 3 (* (sqrt x) (- y 1)))
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) (- y 1)))))
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) (- y 1)))))
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) (- y 1)))))
(* -3 (* (sqrt x) (* (pow (sqrt -1) 2) (- y 1))))
(* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1)))))))
(* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1)))))))
(* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1)))))))
(* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1)))
(+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1))))
(+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1))))
(+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1))))
(* 3 (* (sqrt x) y))
(* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))
(* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))
(* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))
(* 3 (* (sqrt x) y))
(* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))))
(* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))))
(* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))))
(* 3 (sqrt x))
(* 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)
(/ 1/3 x)
(/ (+ 1/3 (* -3 x)) x)
(/ (+ 1/3 (* -3 x)) x)
(/ (+ 1/3 (* -3 x)) x)
-3
(- (* 1/3 (/ 1 x)) 3)
(- (* 1/3 (/ 1 x)) 3)
(- (* 1/3 (/ 1 x)) 3)
-3
(- (* 1/3 (/ 1 x)) 3)
(- (* 1/3 (/ 1 x)) 3)
(- (* 1/3 (/ 1 x)) 3)
(/ 1/9 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)))
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 #s(literal 3 binary64) (*.f64 (sqrt.f64 (*.f64 x (*.f64 x x))) (+.f64 y #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 #s(literal 3 binary64) (*.f64 (sqrt.f64 (*.f64 x (*.f64 x x))) (+.f64 y #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 #s(literal 3 binary64) (*.f64 (sqrt.f64 (*.f64 x (*.f64 x x))) (+.f64 y #s(literal -1 binary64))))) x)
(* (sqrt x) (- (* 3 y) 3))
(*.f64 (sqrt.f64 x) (-.f64 #s(literal -3 binary64) (*.f64 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 #s(literal -3 binary64) (*.f64 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 #s(literal -3 binary64) (*.f64 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 #s(literal -3 binary64) (*.f64 y #s(literal -3 binary64))))))
(* -1 (* (sqrt x) (* (pow (sqrt -1) 2) (- (* 3 y) 3))))
(*.f64 (sqrt.f64 x) (-.f64 #s(literal -3 binary64) (*.f64 y #s(literal -3 binary64))))
(* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* (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 #s(literal -3 binary64) (*.f64 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 #s(literal -3 binary64) (*.f64 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 #s(literal -3 binary64) (*.f64 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 #s(literal 3 binary64) (*.f64 (sqrt.f64 x) 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 #s(literal 3 binary64) (*.f64 (sqrt.f64 x) 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 #s(literal 1 binary64) (-.f64 #s(literal 3 binary64) (/.f64 #s(literal 1/3 binary64) x))))
(* y (- (+ 3 (/ 1/3 (* x y))) (* 3 (/ 1 y))))
(-.f64 (*.f64 #s(literal 3 binary64) y) (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 3 binary64) (/.f64 #s(literal 1/3 binary64) x))))
(* y (- (+ 3 (/ 1/3 (* x y))) (* 3 (/ 1 y))))
(-.f64 (*.f64 #s(literal 3 binary64) y) (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 3 binary64) (/.f64 #s(literal 1/3 binary64) x))))
(* 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 #s(literal 1 binary64) (-.f64 #s(literal 3 binary64) (/.f64 #s(literal 1/3 binary64) x))))
(* -1 (* y (- (* -1 (/ (- (* 1/3 (/ 1 x)) 3) y)) 3)))
(-.f64 (*.f64 #s(literal 3 binary64) y) (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 3 binary64) (/.f64 #s(literal 1/3 binary64) x))))
(* -1 (* y (- (* -1 (/ (- (* 1/3 (/ 1 x)) 3) y)) 3)))
(-.f64 (*.f64 #s(literal 3 binary64) y) (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 3 binary64) (/.f64 #s(literal 1/3 binary64) x))))
(/ 1/3 x)
(/.f64 #s(literal 1/3 binary64) x)
(/ (+ 1/3 (* x (- (* 3 y) 3))) x)
(/.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 x (-.f64 #s(literal -3 binary64) (*.f64 y #s(literal -3 binary64))))) x)
(/ (+ 1/3 (* x (- (* 3 y) 3))) x)
(/.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 x (-.f64 #s(literal -3 binary64) (*.f64 y #s(literal -3 binary64))))) x)
(/ (+ 1/3 (* x (- (* 3 y) 3))) x)
(/.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 x (-.f64 #s(literal -3 binary64) (*.f64 y #s(literal -3 binary64))))) x)
(- (* 3 y) 3)
(-.f64 #s(literal -3 binary64) (*.f64 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 #s(literal -3 binary64) (*.f64 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)
(/ 1/9 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 x)) (* 3 (* (sqrt (pow x 3)) (- y 1)))) x)
(/.f64 (+.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (*.f64 #s(literal 3 binary64) (*.f64 (sqrt.f64 (*.f64 x (*.f64 x x))) (+.f64 y #s(literal -1 binary64))))) x)
(/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) (- y 1)))) x)
(/.f64 (+.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (*.f64 #s(literal 3 binary64) (*.f64 (sqrt.f64 (*.f64 x (*.f64 x x))) (+.f64 y #s(literal -1 binary64))))) x)
(/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) (- y 1)))) x)
(/.f64 (+.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (*.f64 #s(literal 3 binary64) (*.f64 (sqrt.f64 (*.f64 x (*.f64 x x))) (+.f64 y #s(literal -1 binary64))))) x)
(* 3 (* (sqrt x) (- y 1)))
(*.f64 (sqrt.f64 x) (-.f64 #s(literal -3 binary64) (*.f64 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 #s(literal -3 binary64) (*.f64 y #s(literal -3 binary64))))))
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) (- y 1)))))
(*.f64 x (+.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 x x)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal -3 binary64) (*.f64 y #s(literal -3 binary64))))))
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) (- y 1)))))
(*.f64 x (+.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 x x)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal -3 binary64) (*.f64 y #s(literal -3 binary64))))))
(* -3 (* (sqrt x) (* (pow (sqrt -1) 2) (- y 1))))
(*.f64 (sqrt.f64 x) (-.f64 #s(literal -3 binary64) (*.f64 y #s(literal -3 binary64))))
(* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1)))))))
(*.f64 x (+.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 x x)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal -3 binary64) (*.f64 y #s(literal -3 binary64))))))
(* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1)))))))
(*.f64 x (+.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 x x)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal -3 binary64) (*.f64 y #s(literal -3 binary64))))))
(* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1)))))))
(*.f64 x (+.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 x x)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal -3 binary64) (*.f64 y #s(literal -3 binary64))))))
(* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1)))
(*.f64 (sqrt.f64 x) (+.f64 #s(literal -3 binary64) (*.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 3 binary64))))
(+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1))))
(*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) (+.f64 #s(literal -1 binary64) (+.f64 y (/.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 #s(literal -1 binary64) (+.f64 y (/.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 #s(literal -1 binary64) (+.f64 y (/.f64 #s(literal 1/9 binary64) x))))
(* 3 (* (sqrt x) y))
(*.f64 #s(literal 3 binary64) (*.f64 (sqrt.f64 x) y))
(* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))
(*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) (+.f64 #s(literal -1 binary64) (+.f64 y (/.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 #s(literal -1 binary64) (+.f64 y (/.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 #s(literal -1 binary64) (+.f64 y (/.f64 #s(literal 1/9 binary64) x))))
(* 3 (* (sqrt x) y))
(*.f64 #s(literal 3 binary64) (*.f64 (sqrt.f64 x) y))
(* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))))
(*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) (+.f64 #s(literal -1 binary64) (+.f64 y (/.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 #s(literal -1 binary64) (+.f64 y (/.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 #s(literal -1 binary64) (+.f64 y (/.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))
(/ 1/3 x)
(/.f64 #s(literal 1/3 binary64) x)
(/ 1/3 x)
(/.f64 #s(literal 1/3 binary64) x)
(/ 1/3 x)
(/.f64 #s(literal 1/3 binary64) x)
(/ 1/3 x)
(/.f64 #s(literal 1/3 binary64) x)
(/ 1/3 x)
(/.f64 #s(literal 1/3 binary64) x)
(/ 1/3 x)
(/.f64 #s(literal 1/3 binary64) x)
(/ 1/3 x)
(/.f64 #s(literal 1/3 binary64) x)
(/ 1/3 x)
(/.f64 #s(literal 1/3 binary64) x)
(/ 1/3 x)
(/.f64 #s(literal 1/3 binary64) x)
(/ 1/3 x)
(/.f64 #s(literal 1/3 binary64) x)
(/ 1/3 x)
(/.f64 #s(literal 1/3 binary64) x)
(/ 1/3 x)
(/.f64 #s(literal 1/3 binary64) x)
(/ 1/3 x)
(/.f64 #s(literal 1/3 binary64) x)
(/ (+ 1/3 (* -3 x)) x)
(/.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -3 binary64))) x)
(/ (+ 1/3 (* -3 x)) x)
(/.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -3 binary64))) x)
(/ (+ 1/3 (* -3 x)) x)
(/.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -3 binary64))) x)
-3
#s(literal -3 binary64)
(- (* 1/3 (/ 1 x)) 3)
(+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64))
(- (* 1/3 (/ 1 x)) 3)
(+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64))
(- (* 1/3 (/ 1 x)) 3)
(+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64))
-3
#s(literal -3 binary64)
(- (* 1/3 (/ 1 x)) 3)
(+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64))
(- (* 1/3 (/ 1 x)) 3)
(+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64))
(- (* 1/3 (/ 1 x)) 3)
(+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64))
(/ 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))

eval82.0ms (0.7%)

Compiler

Compiled 11125 to 1159 computations (89.6% saved)

prune99.0ms (0.8%)

Pruning

32 alts after pruning (30 fresh and 2 done)

PrunedKeptTotal
New45430484
Fresh000
Picked022
Done000
Total45432486
Accuracy
100.0%
Counts
486 → 32
Alt Table
Click to see full alt table
StatusAccuracyProgram
63.7%
(/.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 #s(literal 3 binary64) y) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))))
64.1%
(/.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))))
44.0%
(/.f64 (*.f64 (+.f64 (*.f64 (*.f64 y (*.f64 y y)) #s(literal 27 binary64)) (*.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)) (*.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))))) (sqrt.f64 x)) (+.f64 (*.f64 #s(literal 9 binary64) (*.f64 y y)) (*.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)) (-.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)) (*.f64 #s(literal 3 binary64) y)))))
▶99.3%
(/.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 y (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)))))
99.2%
(/.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)))))
44.8%
(/.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 (sqrt.f64 x) #s(literal 3 binary64)))))
64.1%
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 y (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64))) (*.f64 (+.f64 (*.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) (+.f64 y (/.f64 #s(literal 1/9 binary64) x))) #s(literal -1 binary64)) (*.f64 (sqrt.f64 x) #s(literal 3 binary64)))))
99.2%
(*.f64 (pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 3 binary64) y) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))))
76.3%
(*.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))))))
44.0%
(*.f64 (*.f64 (+.f64 (*.f64 (*.f64 y (*.f64 y y)) #s(literal 27 binary64)) (*.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)) (*.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))))) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 9 binary64) (*.f64 y y)) (*.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)) (-.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)) (*.f64 #s(literal 3 binary64) y))))))
99.4%
(*.f64 (*.f64 (+.f64 y (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64))) #s(literal 3 binary64)) (sqrt.f64 x))
▶99.4%
(*.f64 (*.f64 (sqrt.f64 x) (+.f64 y (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)))) #s(literal 3 binary64))
62.0%
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)))
99.4%
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (pow.f64 (pow.f64 (*.f64 x #s(literal 9 binary64)) #s(literal -1/2 binary64)) #s(literal 2 binary64))) #s(literal 1 binary64)))
99.4%
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 9 binary64))) #s(literal 1 binary64)))
✓99.4%
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64)))
▶40.0%
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (*.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)))))) #s(literal 1 binary64)))
63.5%
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 y #s(literal 1 binary64)))
68.7%
(*.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)))
93.6%
(*.f64 (sqrt.f64 x) (/.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 x (-.f64 #s(literal -3 binary64) (*.f64 y #s(literal -3 binary64))))) x))
99.3%
(*.f64 (sqrt.f64 x) (/.f64 #s(literal 1 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))))))
35.9%
(*.f64 (sqrt.f64 x) (/.f64 #s(literal 1/3 binary64) x))
63.5%
(*.f64 (sqrt.f64 x) (-.f64 #s(literal -3 binary64) (*.f64 y #s(literal -3 binary64))))
62.0%
(*.f64 (sqrt.f64 x) (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64)))
66.0%
(*.f64 (sqrt.f64 x) (+.f64 (*.f64 #s(literal 3 binary64) y) (/.f64 (-.f64 (*.f64 #s(literal 9 binary64) (-.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 1/9 binary64) (*.f64 x 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))))))
78.5%
(*.f64 (sqrt.f64 x) (+.f64 (*.f64 #s(literal 3 binary64) y) (/.f64 (-.f64 #s(literal 9 binary64) (/.f64 #s(literal 1/9 binary64) (*.f64 x x))) (-.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)))))
72.6%
(*.f64 (sqrt.f64 x) (+.f64 (*.f64 #s(literal 3 binary64) y) (/.f64 #s(literal 1/3 binary64) x)))
✓99.3%
(*.f64 (sqrt.f64 x) (+.f64 (*.f64 #s(literal 3 binary64) y) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))))
▶62.0%
(*.f64 (sqrt.f64 x) (+.f64 #s(literal -3 binary64) (*.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 3 binary64))))
38.2%
(*.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) y))
38.3%
(*.f64 #s(literal 3 binary64) (*.f64 (sqrt.f64 x) y))
▶35.9%
(*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
Compiler

Compiled 1342 to 835 computations (37.8% saved)

simplify173.0ms (1.5%)

Algorithm
1×egg-herbie
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(sqrt.f64 x)
✓cost-diff0
(*.f64 #s(literal 3 binary64) (sqrt.f64 x))
✓cost-diff0
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (*.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)))))) #s(literal 1 binary64)))
✓cost-diff128
(*.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))))))
✓cost-diff0
(/.f64 #s(literal 1 binary64) (+.f64 y (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64))))
✓cost-diff0
(sqrt.f64 x)
✓cost-diff0
(*.f64 (sqrt.f64 x) #s(literal 3 binary64))
✓cost-diff128
(/.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 y (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)))))
✓cost-diff0
(+.f64 #s(literal -3 binary64) (*.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 3 binary64)))
✓cost-diff0
(sqrt.f64 x)
✓cost-diff0
(*.f64 (sqrt.f64 x) (+.f64 #s(literal -3 binary64) (*.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 3 binary64))))
✓cost-diff128
(*.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 3 binary64))
✓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
2694×*-lowering-*.f32
2694×*-lowering-*.f64
1316×sum5-define
1258×sum4-define
1194×/-lowering-/.f32
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
040287
1106280
2249280
3662279
41535279
53270279
66639279
08042279
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
(* (sqrt x) (+ -3 (* (/ 1/9 x) 3)))
(sqrt x)
x
(+ -3 (* (/ 1/9 x) 3))
-3
(* (/ 1/9 x) 3)
(/ 1/9 x)
1/9
3
(/ (* (sqrt x) 3) (/ 1 (+ y (+ (/ 1/9 x) -1))))
(* (sqrt x) 3)
(sqrt x)
x
3
(/ 1 (+ y (+ (/ 1/9 x) -1)))
1
(+ y (+ (/ 1/9 x) -1))
y
(+ (/ 1/9 x) -1)
(/ 1/9 x)
1/9
-1
(* (* 3 (sqrt x)) (- (* (+ (* y (* y y)) (/ 1/729 (* x (* x x)))) (/ 1 (+ (* y y) (/ (- (/ 1/9 x) y) (* x 9))))) 1))
(* 3 (sqrt x))
3
(sqrt x)
x
(- (* (+ (* y (* y y)) (/ 1/729 (* x (* x x)))) (/ 1 (+ (* y y) (/ (- (/ 1/9 x) y) (* x 9))))) 1)
(* (+ (* y (* y y)) (/ 1/729 (* x (* x x)))) (/ 1 (+ (* y y) (/ (- (/ 1/9 x) y) (* x 9)))))
(+ (* y (* y y)) (/ 1/729 (* x (* x x))))
(* y (* y y))
y
(* y y)
(/ 1/729 (* x (* x x)))
1/729
(* x (* x x))
(* x x)
(/ 1 (+ (* y y) (/ (- (/ 1/9 x) y) (* x 9))))
1
(+ (* y y) (/ (- (/ 1/9 x) y) (* x 9)))
(/ (- (/ 1/9 x) y) (* x 9))
(- (/ 1/9 x) y)
(/ 1/9 x)
1/9
(* x 9)
9
Outputs
(* (* (sqrt x) (+ y (+ (/ 1/9 x) -1))) 3)
(*.f64 (sqrt.f64 x) (+.f64 (*.f64 y #s(literal 3 binary64)) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))))
(* (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
(* (sqrt x) (+ -3 (* (/ 1/9 x) 3)))
(*.f64 (sqrt.f64 x) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)))
(sqrt x)
(sqrt.f64 x)
x
(+ -3 (* (/ 1/9 x) 3))
(+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))
-3
#s(literal -3 binary64)
(* (/ 1/9 x) 3)
(/.f64 #s(literal 1/3 binary64) x)
(/ 1/9 x)
(/.f64 #s(literal 1/9 binary64) x)
1/9
#s(literal 1/9 binary64)
3
#s(literal 3 binary64)
(/ (* (sqrt x) 3) (/ 1 (+ y (+ (/ 1/9 x) -1))))
(*.f64 (sqrt.f64 x) (+.f64 (*.f64 y #s(literal 3 binary64)) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))))
(* (sqrt x) 3)
(*.f64 (sqrt.f64 x) #s(literal 3 binary64))
(sqrt x)
(sqrt.f64 x)
x
3
#s(literal 3 binary64)
(/ 1 (+ y (+ (/ 1/9 x) -1)))
(/.f64 #s(literal 1 binary64) (+.f64 y (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64))))
1
#s(literal 1 binary64)
(+ y (+ (/ 1/9 x) -1))
(+.f64 y (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)))
y
(+ (/ 1/9 x) -1)
(+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64))
(/ 1/9 x)
(/.f64 #s(literal 1/9 binary64) x)
1/9
#s(literal 1/9 binary64)
-1
#s(literal -1 binary64)
(* (* 3 (sqrt x)) (- (* (+ (* y (* y y)) (/ 1/729 (* x (* x x)))) (/ 1 (+ (* y y) (/ (- (/ 1/9 x) y) (* x 9))))) 1))
(*.f64 (sqrt.f64 x) (+.f64 #s(literal -3 binary64) (/.f64 (+.f64 (*.f64 #s(literal 3 binary64) (*.f64 y (*.f64 y y))) (/.f64 #s(literal 1/243 binary64) (*.f64 x (*.f64 x x)))) (+.f64 (*.f64 y y) (/.f64 (/.f64 (-.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal -9 binary64)) x)))))
(* 3 (sqrt x))
(*.f64 (sqrt.f64 x) #s(literal 3 binary64))
3
#s(literal 3 binary64)
(sqrt x)
(sqrt.f64 x)
x
(- (* (+ (* y (* y y)) (/ 1/729 (* x (* x x)))) (/ 1 (+ (* y y) (/ (- (/ 1/9 x) y) (* x 9))))) 1)
(+.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 y (*.f64 y y)) (/.f64 #s(literal 1/729 binary64) (*.f64 x (*.f64 x x)))) (+.f64 (*.f64 y y) (/.f64 (/.f64 (-.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal -9 binary64)) x))))
(* (+ (* y (* y y)) (/ 1/729 (* x (* x x)))) (/ 1 (+ (* y y) (/ (- (/ 1/9 x) y) (* x 9)))))
(/.f64 (+.f64 (*.f64 y (*.f64 y y)) (/.f64 #s(literal 1/729 binary64) (*.f64 x (*.f64 x x)))) (+.f64 (*.f64 y y) (/.f64 (/.f64 (-.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal -9 binary64)) x)))
(+ (* y (* y y)) (/ 1/729 (* x (* x x))))
(+.f64 (*.f64 y (*.f64 y y)) (/.f64 #s(literal 1/729 binary64) (*.f64 x (*.f64 x x))))
(* y (* y y))
(*.f64 y (*.f64 y y))
y
(* y y)
(*.f64 y y)
(/ 1/729 (* x (* x x)))
(/.f64 #s(literal 1/729 binary64) (*.f64 x (*.f64 x x)))
1/729
#s(literal 1/729 binary64)
(* x (* x x))
(*.f64 x (*.f64 x x))
(* x x)
(*.f64 x x)
(/ 1 (+ (* y y) (/ (- (/ 1/9 x) y) (* x 9))))
(/.f64 #s(literal 1 binary64) (+.f64 (*.f64 y y) (/.f64 (/.f64 (-.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal -9 binary64)) x)))
1
#s(literal 1 binary64)
(+ (* y y) (/ (- (/ 1/9 x) y) (* x 9)))
(+.f64 (*.f64 y y) (/.f64 (/.f64 (-.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal -9 binary64)) x))
(/ (- (/ 1/9 x) y) (* x 9))
(/.f64 (/.f64 (-.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal -9 binary64)) x)
(- (/ 1/9 x) y)
(-.f64 (/.f64 #s(literal 1/9 binary64) x) y)
(/ 1/9 x)
(/.f64 #s(literal 1/9 binary64) x)
1/9
#s(literal 1/9 binary64)
(* x 9)
(*.f64 x #s(literal 9 binary64))
9
#s(literal 9 binary64)

localize275.0ms (2.3%)

Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
✓accuracy98.9%
(/.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)))))
✓accuracy98.1%
(+.f64 (*.f64 y y) (/.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) y) (*.f64 x #s(literal 9 binary64))))
✓accuracy92.9%
(+.f64 (*.f64 y (*.f64 y y)) (/.f64 #s(literal 1/729 binary64) (*.f64 x (*.f64 x x))))
✓accuracy38.9%
(*.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))))))
✓accuracy99.8%
(/.f64 #s(literal 1 binary64) (+.f64 y (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64))))
✓accuracy99.6%
(/.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 y (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)))))
✓accuracy99.6%
(*.f64 (sqrt.f64 x) #s(literal 3 binary64))
✓accuracy99.4%
(/.f64 #s(literal 1/9 binary64) x)
✓accuracy100.0%
(+.f64 #s(literal -3 binary64) (*.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 3 binary64)))
✓accuracy99.6%
(*.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 3 binary64))
✓accuracy99.5%
(*.f64 (sqrt.f64 x) (+.f64 #s(literal -3 binary64) (*.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 3 binary64))))
✓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%
(+.f64 y (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)))
✓accuracy99.7%
(*.f64 (sqrt.f64 x) (+.f64 y (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64))))
✓accuracy99.6%
(*.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
202.0ms251×0valid
6.0ms3×1valid
4.0ms2×2valid
Compiler

Compiled 337 to 41 computations (87.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 68.0ms
ival-mult: 24.0ms (35.4% of total)
...c/correct-round.rkt:119:19: 14.0ms (20.7% of total)
ival-div: 14.0ms (20.7% of total)
ival-add: 7.0ms (10.3% of total)
ival-sqrt: 5.0ms (7.4% of total)
ival-sub: 3.0ms (4.4% of total)
const: 1.0ms (1.5% of total)
backward-pass: 1.0ms (1.5% of total)

series34.0ms (0.3%)

Counts
20 → 360
Calls
Call 1
Inputs
#<alt (* (* (sqrt x) (+ y (+ (/ 1/9 x) -1))) 3)>
#<alt (* (sqrt x) (+ y (+ (/ 1/9 x) -1)))>
#<alt (sqrt x)>
#<alt (+ y (+ (/ 1/9 x) -1))>
#<alt (* 1/3 (sqrt (/ 1 x)))>
#<alt (sqrt (/ 1 x))>
#<alt (/ 1 x)>
#<alt (* (/ 1/9 x) 3)>
#<alt (* (sqrt x) (+ -3 (* (/ 1/9 x) 3)))>
#<alt (+ -3 (* (/ 1/9 x) 3))>
#<alt (/ (* (sqrt x) 3) (/ 1 (+ y (+ (/ 1/9 x) -1))))>
#<alt (* (sqrt x) 3)>
#<alt (/ 1 (+ y (+ (/ 1/9 x) -1)))>
#<alt (* (+ (* y (* y y)) (/ 1/729 (* x (* x x)))) (/ 1 (+ (* y y) (/ (- (/ 1/9 x) y) (* x 9)))))>
#<alt (* (* 3 (sqrt x)) (- (* (+ (* y (* y y)) (/ 1/729 (* x (* x x)))) (/ 1 (+ (* y y) (/ (- (/ 1/9 x) y) (* x 9))))) 1))>
#<alt (* 3 (sqrt x))>
#<alt (/ 1/9 x)>
#<alt (+ (* y (* y y)) (/ 1/729 (* x (* x x))))>
#<alt (+ (* y y) (/ (- (/ 1/9 x) y) (* x 9)))>
#<alt (/ 1 (+ (* y y) (/ (- (/ 1/9 x) y) (* x 9))))>
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 x)>
#<alt (/ 1/3 x)>
#<alt (/ 1/3 x)>
#<alt (/ 1/3 x)>
#<alt (/ 1/3 x)>
#<alt (/ 1/3 x)>
#<alt (/ 1/3 x)>
#<alt (/ 1/3 x)>
#<alt (/ 1/3 x)>
#<alt (/ 1/3 x)>
#<alt (/ 1/3 x)>
#<alt (/ 1/3 x)>
#<alt (* 1/3 (sqrt (/ 1 x)))>
#<alt (/ (+ (* -3 (sqrt (pow x 3))) (* 1/3 (sqrt x))) x)>
#<alt (/ (+ (* -3 (sqrt (pow x 3))) (* 1/3 (sqrt x))) x)>
#<alt (/ (+ (* -3 (sqrt (pow x 3))) (* 1/3 (sqrt x))) x)>
#<alt (* -3 (sqrt x))>
#<alt (* x (+ (* -3 (sqrt (/ 1 x))) (* 1/3 (sqrt (/ 1 (pow x 3))))))>
#<alt (* x (+ (* -3 (sqrt (/ 1 x))) (* 1/3 (sqrt (/ 1 (pow x 3))))))>
#<alt (* x (+ (* -3 (sqrt (/ 1 x))) (* 1/3 (sqrt (/ 1 (pow x 3))))))>
#<alt (* 3 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* -1 (* x (+ (* -3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))))))>
#<alt (* -1 (* x (+ (* -3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))))))>
#<alt (* -1 (* x (+ (* -3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))))))>
#<alt (/ 1/3 x)>
#<alt (/ (+ 1/3 (* -3 x)) x)>
#<alt (/ (+ 1/3 (* -3 x)) x)>
#<alt (/ (+ 1/3 (* -3 x)) x)>
#<alt -3>
#<alt (- (* 1/3 (/ 1 x)) 3)>
#<alt (- (* 1/3 (/ 1 x)) 3)>
#<alt (- (* 1/3 (/ 1 x)) 3)>
#<alt -3>
#<alt (- (* 1/3 (/ 1 x)) 3)>
#<alt (- (* 1/3 (/ 1 x)) 3)>
#<alt (- (* 1/3 (/ 1 x)) 3)>
#<alt (* 1/3 (sqrt (/ 1 x)))>
#<alt (/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) (- y 1)))) x)>
#<alt (/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) (- y 1)))) x)>
#<alt (/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) (- y 1)))) x)>
#<alt (* 3 (* (sqrt x) (- y 1)))>
#<alt (* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) (- y 1)))))>
#<alt (* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) (- y 1)))))>
#<alt (* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) (- y 1)))))>
#<alt (* -3 (* (sqrt x) (* (pow (sqrt -1) 2) (- y 1))))>
#<alt (* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1)))))))>
#<alt (* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1)))))))>
#<alt (* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1)))))))>
#<alt (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1)))>
#<alt (+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1))))>
#<alt (+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1))))>
#<alt (+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1))))>
#<alt (* 3 (* (sqrt x) y))>
#<alt (* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))>
#<alt (* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))>
#<alt (* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))>
#<alt (* 3 (* (sqrt x) y))>
#<alt (* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))))>
#<alt (* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))))>
#<alt (* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))))>
#<alt (* 3 (sqrt x))>
#<alt (* 3 (sqrt x))>
#<alt (* 3 (sqrt x))>
#<alt (* 3 (sqrt x))>
#<alt (* 3 (sqrt x))>
#<alt (* 3 (sqrt x))>
#<alt (* 3 (sqrt x))>
#<alt (* 3 (sqrt x))>
#<alt (* -3 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* -3 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* -3 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* -3 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (/ 1 (- (* 1/9 (/ 1 x)) 1))>
#<alt (+ (* -1 (/ y (pow (- (* 1/9 (/ 1 x)) 1) 2))) (/ 1 (- (* 1/9 (/ 1 x)) 1)))>
#<alt (+ (* y (- (/ y (pow (- (* 1/9 (/ 1 x)) 1) 3)) (/ 1 (pow (- (* 1/9 (/ 1 x)) 1) 2)))) (/ 1 (- (* 1/9 (/ 1 x)) 1)))>
#<alt (+ (* y (- (* y (+ (* -1 (/ y (pow (- (* 1/9 (/ 1 x)) 1) 4))) (/ 1 (pow (- (* 1/9 (/ 1 x)) 1) 3)))) (/ 1 (pow (- (* 1/9 (/ 1 x)) 1) 2)))) (/ 1 (- (* 1/9 (/ 1 x)) 1)))>
#<alt (/ 1 y)>
#<alt (/ (- (+ 1 (/ 1 y)) (/ 1/9 (* x y))) y)>
#<alt (/ (- (+ 1 (+ (* -1 (/ (* (- 1 (* 1/9 (/ 1 x))) (- (* 1/9 (/ 1 x)) 1)) (pow y 2))) (/ 1 y))) (/ 1/9 (* x y))) y)>
#<alt (/ (- (+ 1 (+ (/ 1 y) (/ (* (- 1 (* 1/9 (/ 1 x))) (pow (- (* 1/9 (/ 1 x)) 1) 2)) (pow y 3)))) (+ (/ 1/9 (* x y)) (/ (* (- 1 (* 1/9 (/ 1 x))) (- (* 1/9 (/ 1 x)) 1)) (pow y 2)))) y)>
#<alt (/ 1 y)>
#<alt (* -1 (/ (- (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) 1) y))>
#<alt (* -1 (/ (- (* -1 (/ (- (+ 1 (* -1 (/ (* (- 1 (* 1/9 (/ 1 x))) (- (* 1/9 (/ 1 x)) 1)) y))) (* 1/9 (/ 1 x))) y)) 1) y))>
#<alt (* -1 (/ (- (* -1 (/ (- (+ 1 (* -1 (/ (- (* -1 (/ (* (- 1 (* 1/9 (/ 1 x))) (pow (- (* 1/9 (/ 1 x)) 1) 2)) y)) (* -1 (* (- 1 (* 1/9 (/ 1 x))) (- (* 1/9 (/ 1 x)) 1)))) y))) (* 1/9 (/ 1 x))) y)) 1) y))>
#<alt (* 9 x)>
#<alt (* x (+ 9 (* -81 (* x (- y 1)))))>
#<alt (* x (+ 9 (* x (- (* 729 (* x (pow (- y 1) 2))) (* 81 (- y 1))))))>
#<alt (* x (+ 9 (* x (- (* x (- (* -6561 (* x (pow (- y 1) 3))) (* -729 (pow (- y 1) 2)))) (* 81 (- y 1))))))>
#<alt (/ 1 (- y 1))>
#<alt (- (/ 1 (- y 1)) (* 1/9 (/ 1 (* x (pow (- y 1) 2)))))>
#<alt (- (+ (/ 1/81 (* (pow x 2) (pow (- y 1) 3))) (/ 1 (- y 1))) (/ 1/9 (* x (pow (- y 1) 2))))>
#<alt (- (+ (* 1/81 (/ 1 (* (pow x 2) (pow (- y 1) 3)))) (/ 1 (- y 1))) (+ (/ 1/9 (* x (pow (- y 1) 2))) (* 1/729 (/ 1 (* (pow x 3) (pow (- y 1) 4))))))>
#<alt (/ 1 (- y 1))>
#<alt (- (/ 1 (- y 1)) (* 1/9 (/ 1 (* x (pow (- y 1) 2)))))>
#<alt (+ (* -1 (/ (- (* 1/9 (/ 1 (pow (- y 1) 2))) (* 1/81 (/ 1 (* x (pow (- y 1) 3))))) x)) (/ 1 (- y 1)))>
#<alt (+ (* -1 (/ (+ (* -1 (/ (- (* 1/81 (/ 1 (pow (- y 1) 3))) (* 1/729 (/ 1 (* x (pow (- y 1) 4))))) x)) (* 1/9 (/ 1 (pow (- y 1) 2)))) x)) (/ 1 (- y 1)))>
#<alt (/ 1/9 x)>
#<alt (+ y (* 1/9 (/ 1 x)))>
#<alt (+ (* y (+ 1 (* -1 (* y (+ (* -9 x) (* 9 x)))))) (* 1/9 (/ 1 x)))>
#<alt (+ (* y (+ 1 (* y (- (* -9 (* x (* y (+ (* -9 x) (* 9 x))))) (+ (* -9 x) (* 9 x)))))) (* 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 (- (* -1 (* x (+ (* -9 (pow y 2)) (* 9 (pow y 2))))) (* -1 y)))) x)>
#<alt (/ (+ 1/9 (* x (- (* x (- (* -9 (* x (* y (+ (* -9 (pow y 2)) (* 9 (pow y 2)))))) (+ (* -9 (pow y 2)) (* 9 (pow y 2))))) (* -1 y)))) x)>
#<alt y>
#<alt (+ y (* 1/9 (/ 1 x)))>
#<alt (+ y (* 1/9 (/ 1 x)))>
#<alt (+ y (* 1/9 (/ 1 x)))>
#<alt y>
#<alt (+ y (* 1/9 (/ 1 x)))>
#<alt (+ y (* 1/9 (/ 1 x)))>
#<alt (+ y (* 1/9 (/ 1 x)))>
#<alt (* 1/3 (sqrt (/ 1 x)))>
#<alt (/ (+ (* -3 (* (sqrt (pow x 3)) (+ 1 (* -1 y)))) (* 1/3 (sqrt x))) x)>
#<alt (/ (+ (* 1/3 (sqrt x)) (* x (+ (* -3 (* (sqrt x) (+ 1 (* -1 y)))) (* -3 (* (sqrt (pow x 3)) (+ (* -9 (pow y 2)) (* 9 (pow y 2)))))))) x)>
#<alt (/ (+ (* 1/3 (sqrt x)) (* x (+ (* -3 (* (sqrt x) (+ 1 (* -1 y)))) (* x (+ (* -27 (* (sqrt (pow x 3)) (* y (+ (* -9 (pow y 2)) (* 9 (pow y 2)))))) (* -3 (* (sqrt x) (+ (* -9 (pow y 2)) (* 9 (pow y 2)))))))))) 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) (- (* 1/9 (/ 1 x)) 1))) (* y (+ (* -3 (* (sqrt x) (* y (+ (* -9 x) (* 9 x))))) (* 3 (sqrt x)))))>
#<alt (+ (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1))) (* y (+ (* 3 (sqrt x)) (* y (+ (* -27 (* (sqrt (pow x 3)) (* y (+ (* -9 x) (* 9 x))))) (* -3 (* (sqrt x) (+ (* -9 x) (* 9 x)))))))))>
#<alt (* 3 (* (sqrt x) y))>
#<alt (* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))>
#<alt (* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))>
#<alt (* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))>
#<alt (* 3 (* (sqrt x) y))>
#<alt (* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))))>
#<alt (* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))))>
#<alt (* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))))>
#<alt (* 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 (/ 1/729 (pow x 3))>
#<alt (+ (* 1/729 (/ 1 (pow x 3))) (pow y 3))>
#<alt (+ (* 1/729 (/ 1 (pow x 3))) (pow y 3))>
#<alt (+ (* 1/729 (/ 1 (pow x 3))) (pow y 3))>
#<alt (pow y 3)>
#<alt (* (pow y 3) (+ 1 (* 1/729 (/ 1 (* (pow x 3) (pow y 3))))))>
#<alt (* (pow y 3) (+ 1 (* 1/729 (/ 1 (* (pow x 3) (pow y 3))))))>
#<alt (* (pow y 3) (+ 1 (* 1/729 (/ 1 (* (pow x 3) (pow y 3))))))>
#<alt (pow y 3)>
#<alt (* (pow y 3) (+ 1 (* 1/729 (/ 1 (* (pow x 3) (pow y 3))))))>
#<alt (* (pow y 3) (+ 1 (* 1/729 (/ 1 (* (pow x 3) (pow y 3))))))>
#<alt (* (pow y 3) (+ 1 (* 1/729 (/ 1 (* (pow x 3) (pow y 3))))))>
#<alt (/ 1/729 (pow x 3))>
#<alt (/ (+ 1/729 (* (pow x 3) (pow y 3))) (pow x 3))>
#<alt (/ (+ 1/729 (* (pow x 3) (pow y 3))) (pow x 3))>
#<alt (/ (+ 1/729 (* (pow x 3) (pow y 3))) (pow x 3))>
#<alt (pow y 3)>
#<alt (+ (* 1/729 (/ 1 (pow x 3))) (pow y 3))>
#<alt (+ (* 1/729 (/ 1 (pow x 3))) (pow y 3))>
#<alt (+ (* 1/729 (/ 1 (pow x 3))) (pow y 3))>
#<alt (pow y 3)>
#<alt (+ (* 1/729 (/ 1 (pow x 3))) (pow y 3))>
#<alt (+ (* 1/729 (/ 1 (pow x 3))) (pow y 3))>
#<alt (+ (* 1/729 (/ 1 (pow x 3))) (pow y 3))>
#<alt (/ 1/81 (pow x 2))>
#<alt (+ (* -1/9 (/ y x)) (* 1/81 (/ 1 (pow x 2))))>
#<alt (+ (* y (- y (* 1/9 (/ 1 x)))) (* 1/81 (/ 1 (pow x 2))))>
#<alt (+ (* y (- y (* 1/9 (/ 1 x)))) (* 1/81 (/ 1 (pow x 2))))>
#<alt (pow y 2)>
#<alt (* (pow y 2) (- 1 (* 1/9 (/ 1 (* x y)))))>
#<alt (* (pow y 2) (- (+ 1 (/ 1/81 (* (pow x 2) (pow y 2)))) (/ 1/9 (* x y))))>
#<alt (* (pow y 2) (- (+ 1 (/ 1/81 (* (pow x 2) (pow y 2)))) (/ 1/9 (* x y))))>
#<alt (pow y 2)>
#<alt (* (pow y 2) (- 1 (* 1/9 (/ 1 (* x y)))))>
#<alt (* (pow y 2) (+ 1 (* -1 (/ (- (* 1/9 (/ 1 x)) (* 1/81 (/ 1 (* (pow x 2) y)))) y))))>
#<alt (* (pow y 2) (+ 1 (* -1 (/ (- (* 1/9 (/ 1 x)) (* 1/81 (/ 1 (* (pow x 2) y)))) y))))>
#<alt (/ 1/81 (pow x 2))>
#<alt (/ (+ 1/81 (* -1/9 (* x y))) (pow x 2))>
#<alt (/ (+ 1/81 (* x (+ (* -1/9 y) (* x (pow y 2))))) (pow x 2))>
#<alt (/ (+ 1/81 (* x (+ (* -1/9 y) (* x (pow y 2))))) (pow x 2))>
#<alt (pow y 2)>
#<alt (+ (* -1/9 (/ y x)) (pow y 2))>
#<alt (+ (* -1/9 (/ y x)) (+ (/ 1/81 (pow x 2)) (pow y 2)))>
#<alt (+ (* -1/9 (/ y x)) (+ (/ 1/81 (pow x 2)) (pow y 2)))>
#<alt (pow y 2)>
#<alt (+ (* -1/9 (/ y x)) (pow y 2))>
#<alt (+ (* -1 (/ (- (* 1/9 y) (* 1/81 (/ 1 x))) x)) (pow y 2))>
#<alt (+ (* -1 (/ (- (* 1/9 y) (* 1/81 (/ 1 x))) x)) (pow y 2))>
#<alt (* 81 (pow x 2))>
#<alt (+ (* 81 (pow x 2)) (* 729 (* (pow x 3) y)))>
#<alt (+ (* 81 (pow x 2)) (* y (- (* -1 (* y (+ (* -6561 (pow x 4)) (* 6561 (pow x 4))))) (* -729 (pow x 3)))))>
#<alt (+ (* 81 (pow x 2)) (* y (- (* y (- (* -1 (* y (+ (* 9 (* x (+ (* -6561 (pow x 4)) (* 6561 (pow x 4))))) (* 59049 (pow x 5))))) (+ (* -6561 (pow x 4)) (* 6561 (pow x 4))))) (* -729 (pow x 3)))))>
#<alt (/ 1 (pow y 2))>
#<alt (/ (+ 1 (* 1/9 (/ 1 (* x y)))) (pow y 2))>
#<alt (/ (- (+ 1 (/ 1/9 (* x y))) (/ 1/729 (* (pow x 3) (pow y 3)))) (pow y 2))>
#<alt (/ (+ 1 (+ (* -1 (/ (+ (* 1/729 (/ 1 (pow x 3))) (* 1/6561 (/ 1 (* (pow x 4) y)))) (pow y 3))) (/ 1/9 (* x y)))) (pow y 2))>
#<alt (/ 1 (pow y 2))>
#<alt (/ (+ 1 (* 1/9 (/ 1 (* x y)))) (pow y 2))>
#<alt (/ (+ 1 (* -1 (/ (- (* 1/729 (/ 1 (* (pow x 3) (pow y 2)))) (* 1/9 (/ 1 x))) y))) (pow y 2))>
#<alt (/ (+ 1 (* -1 (/ (- (+ (/ 1/6561 (* (pow x 4) (pow y 3))) (/ 1/729 (* (pow x 3) (pow y 2)))) (* 1/9 (/ 1 x))) y))) (pow y 2))>
#<alt (* 81 (pow x 2))>
#<alt (* (pow x 2) (+ 81 (* 729 (* x y))))>
#<alt (* (pow x 2) (+ 81 (* x (- (* -1 (* x (+ (* -6561 (pow y 2)) (* 6561 (pow y 2))))) (* -729 y)))))>
#<alt (* (pow x 2) (+ 81 (* x (- (* x (- (* -1 (* x (+ (* 9 (* y (+ (* -6561 (pow y 2)) (* 6561 (pow y 2))))) (* 59049 (pow y 3))))) (+ (* -6561 (pow y 2)) (* 6561 (pow y 2))))) (* -729 y)))))>
#<alt (/ 1 (pow y 2))>
#<alt (+ (* 1/9 (/ 1 (* x (pow y 3)))) (/ 1 (pow y 2)))>
#<alt (- (+ (/ 1/9 (* x (pow y 3))) (/ 1 (pow y 2))) (/ 1/729 (* (pow x 3) (pow y 5))))>
#<alt (+ (* -1 (/ (+ (* 1/729 (/ 1 (pow y 5))) (* 1/6561 (/ 1 (* x (pow y 6))))) (pow x 3))) (+ (/ 1/9 (* x (pow y 3))) (/ 1 (pow y 2))))>
#<alt (/ 1 (pow y 2))>
#<alt (+ (* 1/9 (/ 1 (* x (pow y 3)))) (/ 1 (pow y 2)))>
#<alt (+ (* -1 (/ (- (* 1/729 (/ 1 (* (pow x 2) (pow y 5)))) (* 1/9 (/ 1 (pow y 3)))) x)) (/ 1 (pow y 2)))>
#<alt (+ (* -1 (/ (- (+ (/ 1/6561 (* (pow x 3) (pow y 6))) (/ 1/729 (* (pow x 2) (pow y 5)))) (* 1/9 (/ 1 (pow y 3)))) x)) (/ 1 (pow y 2)))>
Calls

90 calls:

TimeVariablePointExpression
5.0ms
x
@-inf
(* (+ (* y (* y y)) (/ 1/729 (* x (* x x)))) (/ 1 (+ (* y y) (/ (- (/ 1/9 x) y) (* x 9)))))
3.0ms
y
@inf
(* (+ (* y (* y y)) (/ 1/729 (* x (* x x)))) (/ 1 (+ (* y y) (/ (- (/ 1/9 x) y) (* x 9)))))
2.0ms
x
@-inf
(* (* 3 (sqrt x)) (- (* (+ (* y (* y y)) (/ 1/729 (* x (* x x)))) (/ 1 (+ (* y y) (/ (- (/ 1/9 x) y) (* x 9))))) 1))
2.0ms
x
@inf
(* (* 3 (sqrt x)) (- (* (+ (* y (* y y)) (/ 1/729 (* x (* x x)))) (/ 1 (+ (* y y) (/ (- (/ 1/9 x) y) (* x 9))))) 1))
2.0ms
y
@inf
(* (* 3 (sqrt x)) (- (* (+ (* y (* y y)) (/ 1/729 (* x (* x x)))) (/ 1 (+ (* y y) (/ (- (/ 1/9 x) y) (* x 9))))) 1))

rewrite376.0ms (3.2%)

Algorithm
1×batch-egg-rewrite
Rules
4414×*-lowering-*.f32
4414×*-lowering-*.f64
2772×/-lowering-/.f32
2772×/-lowering-/.f64
2262×+-lowering-+.f64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
040156
1240128
22215128
09348128
Stop Event
1×iter limit
1×node limit
Counts
20 → 523
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)
(* (/ 1/9 x) 3)
(* (sqrt x) (+ -3 (* (/ 1/9 x) 3)))
(+ -3 (* (/ 1/9 x) 3))
(/ (* (sqrt x) 3) (/ 1 (+ y (+ (/ 1/9 x) -1))))
(* (sqrt x) 3)
(/ 1 (+ y (+ (/ 1/9 x) -1)))
(* (+ (* y (* y y)) (/ 1/729 (* x (* x x)))) (/ 1 (+ (* y y) (/ (- (/ 1/9 x) y) (* x 9)))))
(* (* 3 (sqrt x)) (- (* (+ (* y (* y y)) (/ 1/729 (* x (* x x)))) (/ 1 (+ (* y y) (/ (- (/ 1/9 x) y) (* x 9))))) 1))
(* 3 (sqrt x))
(/ 1/9 x)
(+ (* y (* y y)) (/ 1/729 (* x (* x x))))
(+ (* y y) (/ (- (/ 1/9 x) y) (* x 9)))
(/ 1 (+ (* y y) (/ (- (/ 1/9 x) y) (* x 9))))
Outputs
(+.f64 (*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) y) (*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64))))
(+.f64 (*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64))) (*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) y))
(+.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 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) (+.f64 y (/.f64 #s(literal 1/9 binary64) x))) (*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) #s(literal -1 binary64)))
(+.f64 (*.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) (*.f64 (+.f64 (/.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 1/9 binary64) x) #s(literal -1 binary64)) (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) (*.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 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)))
(+.f64 (*.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) (*.f64 (sqrt.f64 x) #s(literal -3 binary64)))
(exp.f64 (*.f64 (log.f64 (/.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)))) #s(literal -1 binary64)))
(fma.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)) (*.f64 (sqrt.f64 x) #s(literal 3 binary64))))
(fma.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)) (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) (*.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 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 (sqrt.f64 x) #s(literal 3 binary64)) y (*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64))))
(fma.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)) (*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) y))
(fma.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) (*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) #s(literal -1 binary64)))
(fma.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) (*.f64 (sqrt.f64 x) #s(literal -3 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)))
(neg.f64 (/.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))))))
(neg.f64 (/.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 #s(literal -1 binary64) (neg.f64 (/.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 #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 #s(literal 1 binary64) (/.f64 (/.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))) #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) (*.f64 (+.f64 y (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64))) #s(literal 3 binary64))) #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 (*.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 (*.f64 y y)) (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)) (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)) (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)))))) (*.f64 #s(literal 1 binary64) (+.f64 (*.f64 y y) (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)) (-.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)) y)))))
(/.f64 (*.f64 (*.f64 (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 (*.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 #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))) (/.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 (*.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 #s(literal 1 binary64) (+.f64 y (/.f64 #s(literal 1/9 binary64) x)))))
(/.f64 (*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 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 y (/.f64 #s(literal 1/9 binary64) x))))
(/.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 (sqrt.f64 x) #s(literal 3 binary64))) (+.f64 (*.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) (+.f64 y (/.f64 #s(literal 1/9 binary64) x))) (+.f64 #s(literal 1 binary64) (+.f64 y (/.f64 #s(literal 1/9 binary64) x)))))
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(-.f64 (/.f64 (*.f64 y (*.f64 y (*.f64 y y))) (-.f64 (*.f64 y y) (/.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) y) (/.f64 x #s(literal 1/9 binary64))))) (/.f64 (*.f64 (/.f64 #s(literal 1/81 binary64) (*.f64 x x)) (*.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) y) (-.f64 (/.f64 #s(literal 1/9 binary64) x) y))) (-.f64 (*.f64 y y) (/.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) y) (/.f64 x #s(literal 1/9 binary64))))))
(-.f64 (+.f64 (*.f64 y y) (/.f64 #s(literal 1/81 binary64) (*.f64 x x))) (/.f64 y (/.f64 x #s(literal 1/9 binary64))))
(fma.f64 y y (/.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) y) (/.f64 x #s(literal 1/9 binary64))))
(fma.f64 #s(literal 1/9 binary64) (*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1/9 binary64) x)) (neg.f64 (-.f64 (/.f64 y (/.f64 x #s(literal 1/9 binary64))) (*.f64 y y))))
(fma.f64 #s(literal 1/9 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 x #s(literal 1/9 binary64))) (neg.f64 (-.f64 (/.f64 y (/.f64 x #s(literal 1/9 binary64))) (*.f64 y y))))
(fma.f64 (/.f64 #s(literal 1/9 binary64) x) (/.f64 #s(literal 1/9 binary64) x) (neg.f64 (-.f64 (/.f64 y (/.f64 x #s(literal 1/9 binary64))) (*.f64 y y))))
(fma.f64 (/.f64 #s(literal 1/9 binary64) x) (-.f64 (/.f64 #s(literal 1/9 binary64) x) y) (*.f64 y y))
(fma.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) y) (/.f64 x #s(literal 1/9 binary64))) (*.f64 y y))
(fma.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) y) (/.f64 #s(literal 1/9 binary64) x) (*.f64 y y))
(fma.f64 (-.f64 #s(literal 0 binary64) (-.f64 (/.f64 #s(literal 1/9 binary64) x) y)) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal -9 binary64))) (*.f64 y y))
(fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) y) x) #s(literal 1/9 binary64) (*.f64 y y))
(fma.f64 #s(literal 1/81 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) x) (neg.f64 (-.f64 (/.f64 y (/.f64 x #s(literal 1/9 binary64))) (*.f64 y y))))
(fma.f64 #s(literal 1/81 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)) (neg.f64 (-.f64 (/.f64 y (/.f64 x #s(literal 1/9 binary64))) (*.f64 y y))))
(fma.f64 (*.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1/9 binary64)) (/.f64 #s(literal 1 binary64) x) (neg.f64 (-.f64 (/.f64 y (/.f64 x #s(literal 1/9 binary64))) (*.f64 y y))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 y y) (/.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) y) (/.f64 x #s(literal 1/9 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 y (*.f64 y (*.f64 y y))) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) y) (/.f64 x #s(literal 1/9 binary64))) (*.f64 y y)) (/.f64 (/.f64 x #s(literal 1/9 binary64)) (-.f64 (/.f64 #s(literal 1/9 binary64) x) y)))) (+.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))) (/.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) y) (*.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) y) (-.f64 (/.f64 #s(literal 1/9 binary64) x) y))) (*.f64 x (/.f64 (*.f64 x x) #s(literal 1/729 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 y y) (/.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) y) (/.f64 x #s(literal 1/9 binary64)))) (-.f64 (*.f64 y (*.f64 y (*.f64 y y))) (*.f64 (/.f64 #s(literal 1/81 binary64) (*.f64 x x)) (*.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) y) (-.f64 (/.f64 #s(literal 1/9 binary64) x) y))))))
(/.f64 (+.f64 (*.f64 y y) (/.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) y) (/.f64 x #s(literal 1/9 binary64)))) #s(literal 1 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 y y) (/.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) y) (/.f64 x #s(literal 1/9 binary64))))) #s(literal -1 binary64))
(/.f64 (+.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))) (/.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) y) (*.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) y) (-.f64 (/.f64 #s(literal 1/9 binary64) x) y))) (*.f64 x (/.f64 (*.f64 x x) #s(literal 1/729 binary64))))) (+.f64 (*.f64 y (*.f64 y (*.f64 y y))) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) y) (/.f64 x #s(literal 1/9 binary64))) (*.f64 y y)) (/.f64 (/.f64 x #s(literal 1/9 binary64)) (-.f64 (/.f64 #s(literal 1/9 binary64) x) y)))))
(/.f64 (+.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))) (/.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) y) (*.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) y) (-.f64 (/.f64 #s(literal 1/9 binary64) x) y))) (*.f64 x (/.f64 (*.f64 x x) #s(literal 1/729 binary64))))) (+.f64 (*.f64 (/.f64 #s(literal 1/81 binary64) (*.f64 x x)) (*.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) y) (-.f64 (/.f64 #s(literal 1/9 binary64) x) y))) (-.f64 (*.f64 y (*.f64 y (*.f64 y y))) (/.f64 (*.f64 y y) (/.f64 (/.f64 x #s(literal 1/9 binary64)) (-.f64 (/.f64 #s(literal 1/9 binary64) x) y))))))
(/.f64 (+.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))) (/.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) y) (*.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) y) (-.f64 (/.f64 #s(literal 1/9 binary64) x) y))) (*.f64 x (/.f64 (*.f64 x x) #s(literal 1/729 binary64))))) (*.f64 #s(literal 1 binary64) (+.f64 (*.f64 y (*.f64 y (*.f64 y y))) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) y) (/.f64 x #s(literal 1/9 binary64))) (*.f64 y y)) (/.f64 (/.f64 x #s(literal 1/9 binary64)) (-.f64 (/.f64 #s(literal 1/9 binary64) x) y))))))
(/.f64 (-.f64 (*.f64 y (*.f64 y (*.f64 y y))) (*.f64 (/.f64 #s(literal 1/81 binary64) (*.f64 x x)) (*.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) y) (-.f64 (/.f64 #s(literal 1/9 binary64) x) y)))) (-.f64 (*.f64 y y) (/.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) y) (/.f64 x #s(literal 1/9 binary64)))))
(/.f64 (-.f64 (*.f64 y (*.f64 y (*.f64 y y))) (*.f64 (/.f64 #s(literal 1/81 binary64) (*.f64 x x)) (*.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) y) (-.f64 (/.f64 #s(literal 1/9 binary64) x) y)))) (*.f64 #s(literal 1 binary64) (-.f64 (*.f64 y y) (/.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) y) (/.f64 x #s(literal 1/9 binary64))))))
(/.f64 (neg.f64 (+.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))) (/.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) y) (*.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) y) (-.f64 (/.f64 #s(literal 1/9 binary64) x) y))) (*.f64 x (/.f64 (*.f64 x x) #s(literal 1/729 binary64)))))) (neg.f64 (+.f64 (*.f64 y (*.f64 y (*.f64 y y))) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) y) (/.f64 x #s(literal 1/9 binary64))) (*.f64 y y)) (/.f64 (/.f64 x #s(literal 1/9 binary64)) (-.f64 (/.f64 #s(literal 1/9 binary64) x) y))))))
(/.f64 (neg.f64 (-.f64 (*.f64 y (*.f64 y (*.f64 y y))) (*.f64 (/.f64 #s(literal 1/81 binary64) (*.f64 x x)) (*.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) y) (-.f64 (/.f64 #s(literal 1/9 binary64) x) y))))) (neg.f64 (-.f64 (*.f64 y y) (/.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) y) (/.f64 x #s(literal 1/9 binary64))))))
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal 1/81 binary64) (*.f64 x x)) (*.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) y) (-.f64 (/.f64 #s(literal 1/9 binary64) x) y))) (*.f64 y (*.f64 y (*.f64 y y)))) (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) y) (/.f64 x #s(literal 1/9 binary64))) (*.f64 y y)))
(pow.f64 (+.f64 (*.f64 y y) (/.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) y) (/.f64 x #s(literal 1/9 binary64)))) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 y y) (/.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) y) (/.f64 x #s(literal 1/9 binary64))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 (*.f64 y (*.f64 y (*.f64 y y))) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) y) (/.f64 x #s(literal 1/9 binary64))) (*.f64 y y)) (/.f64 (/.f64 x #s(literal 1/9 binary64)) (-.f64 (/.f64 #s(literal 1/9 binary64) x) y)))) (+.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))) (/.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) y) (*.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) y) (-.f64 (/.f64 #s(literal 1/9 binary64) x) y))) (*.f64 x (/.f64 (*.f64 x x) #s(literal 1/729 binary64)))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 (*.f64 y y) (/.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) y) (/.f64 x #s(literal 1/9 binary64)))) (-.f64 (*.f64 y (*.f64 y (*.f64 y y))) (*.f64 (/.f64 #s(literal 1/81 binary64) (*.f64 x x)) (*.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) y) (-.f64 (/.f64 #s(literal 1/9 binary64) x) y))))) #s(literal -1 binary64))
(*.f64 (+.f64 (*.f64 y y) (/.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) y) (/.f64 x #s(literal 1/9 binary64)))) #s(literal 1 binary64))
(*.f64 (+.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))) (/.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) y) (*.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) y) (-.f64 (/.f64 #s(literal 1/9 binary64) x) y))) (*.f64 x (/.f64 (*.f64 x x) #s(literal 1/729 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 y (*.f64 y (*.f64 y y))) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) y) (/.f64 x #s(literal 1/9 binary64))) (*.f64 y y)) (/.f64 (/.f64 x #s(literal 1/9 binary64)) (-.f64 (/.f64 #s(literal 1/9 binary64) x) y))))))
(*.f64 (-.f64 (*.f64 y (*.f64 y (*.f64 y y))) (*.f64 (/.f64 #s(literal 1/81 binary64) (*.f64 x x)) (*.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) y) (-.f64 (/.f64 #s(literal 1/9 binary64) x) y)))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 y y) (/.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) y) (/.f64 x #s(literal 1/9 binary64))))))
(exp.f64 (*.f64 (log.f64 (+.f64 (*.f64 y y) (/.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) y) (/.f64 x #s(literal 1/9 binary64))))) #s(literal -1 binary64)))
(neg.f64 (/.f64 #s(literal -1 binary64) (+.f64 (*.f64 y y) (/.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) y) (/.f64 x #s(literal 1/9 binary64))))))
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 y y) (/.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) y) (/.f64 x #s(literal 1/9 binary64))))))
(/.f64 #s(literal 1 binary64) (+.f64 (*.f64 y y) (/.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) y) (/.f64 x #s(literal 1/9 binary64)))))
(/.f64 #s(literal 1 binary64) (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 1/9 binary64)))))))
(pow.f64 (+.f64 (*.f64 y y) (/.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) y) (/.f64 x #s(literal 1/9 binary64)))) #s(literal -1 binary64))
(pow.f64 (*.f64 (+.f64 (*.f64 y y) (/.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) y) (/.f64 x #s(literal 1/9 binary64)))) (+.f64 (*.f64 y y) (/.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) y) (/.f64 x #s(literal 1/9 binary64))))) #s(literal -1/2 binary64))
(pow.f64 (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 1/9 binary64)))))) #s(literal -1 binary64))
(pow.f64 (pow.f64 (+.f64 (*.f64 y y) (/.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) y) (/.f64 x #s(literal 1/9 binary64)))) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (exp.f64 (log.f64 (+.f64 (*.f64 y y) (/.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) y) (/.f64 x #s(literal 1/9 binary64)))))) #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 y y) (/.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) y) (/.f64 x #s(literal 1/9 binary64)))))))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 y y) (/.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) y) (/.f64 x #s(literal 1/9 binary64))))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 y y) (/.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) y) (/.f64 x #s(literal 1/9 binary64))))) #s(literal 1 binary64))
(*.f64 (pow.f64 (+.f64 (*.f64 y y) (/.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) y) (/.f64 x #s(literal 1/9 binary64)))) #s(literal -1/2 binary64)) (pow.f64 (+.f64 (*.f64 y y) (/.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) y) (/.f64 x #s(literal 1/9 binary64)))) #s(literal -1/2 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))) (/.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) y) (*.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) y) (-.f64 (/.f64 #s(literal 1/9 binary64) x) y))) (*.f64 x (/.f64 (*.f64 x x) #s(literal 1/729 binary64)))))) (+.f64 (*.f64 y (*.f64 y (*.f64 y y))) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) y) (/.f64 x #s(literal 1/9 binary64))) (*.f64 y y)) (/.f64 (/.f64 x #s(literal 1/9 binary64)) (-.f64 (/.f64 #s(literal 1/9 binary64) x) y)))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))) (/.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) y) (*.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) y) (-.f64 (/.f64 #s(literal 1/9 binary64) x) y))) (*.f64 x (/.f64 (*.f64 x x) #s(literal 1/729 binary64)))))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 y (*.f64 y (*.f64 y y))) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) y) (/.f64 x #s(literal 1/9 binary64))) (*.f64 y y)) (/.f64 (/.f64 x #s(literal 1/9 binary64)) (-.f64 (/.f64 #s(literal 1/9 binary64) x) y))))) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 y (*.f64 y (*.f64 y y))) (*.f64 (/.f64 #s(literal 1/81 binary64) (*.f64 x x)) (*.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) y) (-.f64 (/.f64 #s(literal 1/9 binary64) x) y))))) (-.f64 (*.f64 y y) (/.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) y) (/.f64 x #s(literal 1/9 binary64)))))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 y (*.f64 y (*.f64 y y))) (*.f64 (/.f64 #s(literal 1/81 binary64) (*.f64 x x)) (*.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) y) (-.f64 (/.f64 #s(literal 1/9 binary64) x) y))))) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 y y) (/.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) y) (/.f64 x #s(literal 1/9 binary64))))) #s(literal -1 binary64)))

simplify336.0ms (2.8%)

Algorithm
1×egg-herbie
Rules
4106×*-lowering-*.f32
4106×*-lowering-*.f64
1946×fma-lowering-fma.f32
1946×fma-lowering-fma.f64
1918×fnmadd-define
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
05103844
116933378
262973359
081233359
Stop Event
1×iter limit
1×node limit
Counts
360 → 360
Calls
Call 1
Inputs
(* 1/3 (sqrt (/ 1 x)))
(/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) (- y 1)))) x)
(/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) (- y 1)))) x)
(/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) (- y 1)))) x)
(* 3 (* (sqrt x) (- y 1)))
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) (- y 1)))))
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) (- y 1)))))
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) (- y 1)))))
(* -3 (* (sqrt x) (* (pow (sqrt -1) 2) (- y 1))))
(* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1)))))))
(* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1)))))))
(* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1)))))))
(* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1)))
(+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1))))
(+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1))))
(+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1))))
(* 3 (* (sqrt x) y))
(* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))
(* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))
(* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))
(* 3 (* (sqrt x) y))
(* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))))
(* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))))
(* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))))
(* 1/9 (sqrt (/ 1 x)))
(/ (+ (* 1/9 (sqrt x)) (* (sqrt (pow x 3)) (- y 1))) x)
(/ (+ (* 1/9 (sqrt x)) (* (sqrt (pow x 3)) (- y 1))) x)
(/ (+ (* 1/9 (sqrt x)) (* (sqrt (pow x 3)) (- y 1))) x)
(* (sqrt x) (- y 1))
(* x (+ (* 1/9 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (- y 1))))
(* x (+ (* 1/9 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (- y 1))))
(* x (+ (* 1/9 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (- y 1))))
(* -1 (* (sqrt x) (* (pow (sqrt -1) 2) (- y 1))))
(* -1 (* x (+ (* 1/9 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1))))))
(* -1 (* x (+ (* 1/9 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1))))))
(* -1 (* x (+ (* 1/9 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1))))))
(* (sqrt x) (- (* 1/9 (/ 1 x)) 1))
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(- (+ y (* 1/9 (/ 1 x))) 1)
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y
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(* 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))
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(* x (+ (* -3 (sqrt (/ 1 x))) (* 1/3 (sqrt (/ 1 (pow x 3))))))
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(/ 1/3 x)
(/ (+ 1/3 (* -3 x)) x)
(/ (+ 1/3 (* -3 x)) x)
(/ (+ 1/3 (* -3 x)) x)
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(- (* 1/3 (/ 1 x)) 3)
(- (* 1/3 (/ 1 x)) 3)
(- (* 1/3 (/ 1 x)) 3)
-3
(- (* 1/3 (/ 1 x)) 3)
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(* 3 (sqrt x))
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(* 3 (sqrt x))
(* 3 (sqrt x))
(* 3 (sqrt x))
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(* -3 (* (sqrt x) (pow (sqrt -1) 2)))
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(/ 1 y)
(/ (- (+ 1 (/ 1 y)) (/ 1/9 (* x y))) y)
(/ (- (+ 1 (+ (* -1 (/ (* (- 1 (* 1/9 (/ 1 x))) (- (* 1/9 (/ 1 x)) 1)) (pow y 2))) (/ 1 y))) (/ 1/9 (* x y))) y)
(/ (- (+ 1 (+ (/ 1 y) (/ (* (- 1 (* 1/9 (/ 1 x))) (pow (- (* 1/9 (/ 1 x)) 1) 2)) (pow y 3)))) (+ (/ 1/9 (* x y)) (/ (* (- 1 (* 1/9 (/ 1 x))) (- (* 1/9 (/ 1 x)) 1)) (pow y 2)))) y)
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(* -1 (/ (- (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) 1) y))
(* -1 (/ (- (* -1 (/ (- (+ 1 (* -1 (/ (* (- 1 (* 1/9 (/ 1 x))) (- (* 1/9 (/ 1 x)) 1)) y))) (* 1/9 (/ 1 x))) y)) 1) y))
(* -1 (/ (- (* -1 (/ (- (+ 1 (* -1 (/ (- (* -1 (/ (* (- 1 (* 1/9 (/ 1 x))) (pow (- (* 1/9 (/ 1 x)) 1) 2)) y)) (* -1 (* (- 1 (* 1/9 (/ 1 x))) (- (* 1/9 (/ 1 x)) 1)))) y))) (* 1/9 (/ 1 x))) y)) 1) y))
(* 9 x)
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(/ 1 (- y 1))
(- (/ 1 (- y 1)) (* 1/9 (/ 1 (* x (pow (- y 1) 2)))))
(- (+ (/ 1/81 (* (pow x 2) (pow (- y 1) 3))) (/ 1 (- y 1))) (/ 1/9 (* x (pow (- y 1) 2))))
(- (+ (* 1/81 (/ 1 (* (pow x 2) (pow (- y 1) 3)))) (/ 1 (- y 1))) (+ (/ 1/9 (* x (pow (- y 1) 2))) (* 1/729 (/ 1 (* (pow x 3) (pow (- y 1) 4))))))
(/ 1 (- y 1))
(- (/ 1 (- y 1)) (* 1/9 (/ 1 (* x (pow (- y 1) 2)))))
(+ (* -1 (/ (- (* 1/9 (/ 1 (pow (- y 1) 2))) (* 1/81 (/ 1 (* x (pow (- y 1) 3))))) x)) (/ 1 (- y 1)))
(+ (* -1 (/ (+ (* -1 (/ (- (* 1/81 (/ 1 (pow (- y 1) 3))) (* 1/729 (/ 1 (* x (pow (- y 1) 4))))) x)) (* 1/9 (/ 1 (pow (- y 1) 2)))) x)) (/ 1 (- y 1)))
(/ 1/9 x)
(+ y (* 1/9 (/ 1 x)))
(+ (* y (+ 1 (* -1 (* y (+ (* -9 x) (* 9 x)))))) (* 1/9 (/ 1 x)))
(+ (* y (+ 1 (* y (- (* -9 (* x (* y (+ (* -9 x) (* 9 x))))) (+ (* -9 x) (* 9 x)))))) (* 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 (- (* -1 (* x (+ (* -9 (pow y 2)) (* 9 (pow y 2))))) (* -1 y)))) x)
(/ (+ 1/9 (* x (- (* x (- (* -9 (* x (* y (+ (* -9 (pow y 2)) (* 9 (pow y 2)))))) (+ (* -9 (pow y 2)) (* 9 (pow y 2))))) (* -1 y)))) x)
y
(+ y (* 1/9 (/ 1 x)))
(+ y (* 1/9 (/ 1 x)))
(+ y (* 1/9 (/ 1 x)))
y
(+ y (* 1/9 (/ 1 x)))
(+ y (* 1/9 (/ 1 x)))
(+ y (* 1/9 (/ 1 x)))
(* 1/3 (sqrt (/ 1 x)))
(/ (+ (* -3 (* (sqrt (pow x 3)) (+ 1 (* -1 y)))) (* 1/3 (sqrt x))) x)
(/ (+ (* 1/3 (sqrt x)) (* x (+ (* -3 (* (sqrt x) (+ 1 (* -1 y)))) (* -3 (* (sqrt (pow x 3)) (+ (* -9 (pow y 2)) (* 9 (pow y 2)))))))) x)
(/ (+ (* 1/3 (sqrt x)) (* x (+ (* -3 (* (sqrt x) (+ 1 (* -1 y)))) (* x (+ (* -27 (* (sqrt (pow x 3)) (* y (+ (* -9 (pow y 2)) (* 9 (pow y 2)))))) (* -3 (* (sqrt x) (+ (* -9 (pow y 2)) (* 9 (pow y 2)))))))))) 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)))))
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(* -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)))))))
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(+ (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1))) (* y (+ (* 3 (sqrt x)) (* y (+ (* -27 (* (sqrt (pow x 3)) (* y (+ (* -9 x) (* 9 x))))) (* -3 (* (sqrt x) (+ (* -9 x) (* 9 x)))))))))
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(* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))
(* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))
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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)))
(/ 1/9 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)
(/ 1/729 (pow x 3))
(+ (* 1/729 (/ 1 (pow x 3))) (pow y 3))
(+ (* 1/729 (/ 1 (pow x 3))) (pow y 3))
(+ (* 1/729 (/ 1 (pow x 3))) (pow y 3))
(pow y 3)
(* (pow y 3) (+ 1 (* 1/729 (/ 1 (* (pow x 3) (pow y 3))))))
(* (pow y 3) (+ 1 (* 1/729 (/ 1 (* (pow x 3) (pow y 3))))))
(* (pow y 3) (+ 1 (* 1/729 (/ 1 (* (pow x 3) (pow y 3))))))
(pow y 3)
(* (pow y 3) (+ 1 (* 1/729 (/ 1 (* (pow x 3) (pow y 3))))))
(* (pow y 3) (+ 1 (* 1/729 (/ 1 (* (pow x 3) (pow y 3))))))
(* (pow y 3) (+ 1 (* 1/729 (/ 1 (* (pow x 3) (pow y 3))))))
(/ 1/729 (pow x 3))
(/ (+ 1/729 (* (pow x 3) (pow y 3))) (pow x 3))
(/ (+ 1/729 (* (pow x 3) (pow y 3))) (pow x 3))
(/ (+ 1/729 (* (pow x 3) (pow y 3))) (pow x 3))
(pow y 3)
(+ (* 1/729 (/ 1 (pow x 3))) (pow y 3))
(+ (* 1/729 (/ 1 (pow x 3))) (pow y 3))
(+ (* 1/729 (/ 1 (pow x 3))) (pow y 3))
(pow y 3)
(+ (* 1/729 (/ 1 (pow x 3))) (pow y 3))
(+ (* 1/729 (/ 1 (pow x 3))) (pow y 3))
(+ (* 1/729 (/ 1 (pow x 3))) (pow y 3))
(/ 1/81 (pow x 2))
(+ (* -1/9 (/ y x)) (* 1/81 (/ 1 (pow x 2))))
(+ (* y (- y (* 1/9 (/ 1 x)))) (* 1/81 (/ 1 (pow x 2))))
(+ (* y (- y (* 1/9 (/ 1 x)))) (* 1/81 (/ 1 (pow x 2))))
(pow y 2)
(* (pow y 2) (- 1 (* 1/9 (/ 1 (* x y)))))
(* (pow y 2) (- (+ 1 (/ 1/81 (* (pow x 2) (pow y 2)))) (/ 1/9 (* x y))))
(* (pow y 2) (- (+ 1 (/ 1/81 (* (pow x 2) (pow y 2)))) (/ 1/9 (* x y))))
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(/ 1/81 (pow x 2))
(/ (+ 1/81 (* -1/9 (* x y))) (pow x 2))
(/ (+ 1/81 (* x (+ (* -1/9 y) (* x (pow y 2))))) (pow x 2))
(/ (+ 1/81 (* x (+ (* -1/9 y) (* x (pow y 2))))) (pow x 2))
(pow y 2)
(+ (* -1/9 (/ y x)) (pow y 2))
(+ (* -1/9 (/ y x)) (+ (/ 1/81 (pow x 2)) (pow y 2)))
(+ (* -1/9 (/ y x)) (+ (/ 1/81 (pow x 2)) (pow y 2)))
(pow y 2)
(+ (* -1/9 (/ y x)) (pow y 2))
(+ (* -1 (/ (- (* 1/9 y) (* 1/81 (/ 1 x))) x)) (pow y 2))
(+ (* -1 (/ (- (* 1/9 y) (* 1/81 (/ 1 x))) x)) (pow y 2))
(* 81 (pow x 2))
(+ (* 81 (pow x 2)) (* 729 (* (pow x 3) y)))
(+ (* 81 (pow x 2)) (* y (- (* -1 (* y (+ (* -6561 (pow x 4)) (* 6561 (pow x 4))))) (* -729 (pow x 3)))))
(+ (* 81 (pow x 2)) (* y (- (* y (- (* -1 (* y (+ (* 9 (* x (+ (* -6561 (pow x 4)) (* 6561 (pow x 4))))) (* 59049 (pow x 5))))) (+ (* -6561 (pow x 4)) (* 6561 (pow x 4))))) (* -729 (pow x 3)))))
(/ 1 (pow y 2))
(/ (+ 1 (* 1/9 (/ 1 (* x y)))) (pow y 2))
(/ (- (+ 1 (/ 1/9 (* x y))) (/ 1/729 (* (pow x 3) (pow y 3)))) (pow y 2))
(/ (+ 1 (+ (* -1 (/ (+ (* 1/729 (/ 1 (pow x 3))) (* 1/6561 (/ 1 (* (pow x 4) y)))) (pow y 3))) (/ 1/9 (* x y)))) (pow y 2))
(/ 1 (pow y 2))
(/ (+ 1 (* 1/9 (/ 1 (* x y)))) (pow y 2))
(/ (+ 1 (* -1 (/ (- (* 1/729 (/ 1 (* (pow x 3) (pow y 2)))) (* 1/9 (/ 1 x))) y))) (pow y 2))
(/ (+ 1 (* -1 (/ (- (+ (/ 1/6561 (* (pow x 4) (pow y 3))) (/ 1/729 (* (pow x 3) (pow y 2)))) (* 1/9 (/ 1 x))) y))) (pow y 2))
(* 81 (pow x 2))
(* (pow x 2) (+ 81 (* 729 (* x y))))
(* (pow x 2) (+ 81 (* x (- (* -1 (* x (+ (* -6561 (pow y 2)) (* 6561 (pow y 2))))) (* -729 y)))))
(* (pow x 2) (+ 81 (* x (- (* x (- (* -1 (* x (+ (* 9 (* y (+ (* -6561 (pow y 2)) (* 6561 (pow y 2))))) (* 59049 (pow y 3))))) (+ (* -6561 (pow y 2)) (* 6561 (pow y 2))))) (* -729 y)))))
(/ 1 (pow y 2))
(+ (* 1/9 (/ 1 (* x (pow y 3)))) (/ 1 (pow y 2)))
(- (+ (/ 1/9 (* x (pow y 3))) (/ 1 (pow y 2))) (/ 1/729 (* (pow x 3) (pow y 5))))
(+ (* -1 (/ (+ (* 1/729 (/ 1 (pow y 5))) (* 1/6561 (/ 1 (* x (pow y 6))))) (pow x 3))) (+ (/ 1/9 (* x (pow y 3))) (/ 1 (pow y 2))))
(/ 1 (pow y 2))
(+ (* 1/9 (/ 1 (* x (pow y 3)))) (/ 1 (pow y 2)))
(+ (* -1 (/ (- (* 1/729 (/ 1 (* (pow x 2) (pow y 5)))) (* 1/9 (/ 1 (pow y 3)))) x)) (/ 1 (pow y 2)))
(+ (* -1 (/ (- (+ (/ 1/6561 (* (pow x 3) (pow y 6))) (/ 1/729 (* (pow x 2) (pow y 5)))) (* 1/9 (/ 1 (pow y 3)))) x)) (/ 1 (pow y 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)) (* 3 (* (sqrt (pow x 3)) (- y 1)))) x)
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(/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) (- y 1)))) x)
(/.f64 (+.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (*.f64 (sqrt.f64 (*.f64 x (*.f64 x x))) (*.f64 (+.f64 y #s(literal -1 binary64)) #s(literal 3 binary64)))) x)
(/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) (- y 1)))) x)
(/.f64 (+.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (*.f64 (sqrt.f64 (*.f64 x (*.f64 x x))) (*.f64 (+.f64 y #s(literal -1 binary64)) #s(literal 3 binary64)))) x)
(* 3 (* (sqrt x) (- y 1)))
(*.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) (+.f64 y #s(literal -1 binary64))))
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) (- y 1)))))
(*.f64 x (+.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (+.f64 y #s(literal -1 binary64)) #s(literal 3 binary64)))))
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) (- y 1)))))
(*.f64 x (+.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (+.f64 y #s(literal -1 binary64)) #s(literal 3 binary64)))))
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) (- y 1)))))
(*.f64 x (+.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (+.f64 y #s(literal -1 binary64)) #s(literal 3 binary64)))))
(* -3 (* (sqrt x) (* (pow (sqrt -1) 2) (- y 1))))
(*.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) (+.f64 y #s(literal -1 binary64))))
(* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1)))))))
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(*.f64 (*.f64 x x) (+.f64 #s(literal 81 binary64) (*.f64 y (*.f64 x #s(literal 729 binary64)))))
(* (pow x 2) (+ 81 (* x (- (* -1 (* x (+ (* -6561 (pow y 2)) (* 6561 (pow y 2))))) (* -729 y)))))
(*.f64 (*.f64 x x) (+.f64 #s(literal 81 binary64) (*.f64 y (*.f64 x #s(literal 729 binary64)))))
(* (pow x 2) (+ 81 (* x (- (* x (- (* -1 (* x (+ (* 9 (* y (+ (* -6561 (pow y 2)) (* 6561 (pow y 2))))) (* 59049 (pow y 3))))) (+ (* -6561 (pow y 2)) (* 6561 (pow y 2))))) (* -729 y)))))
(*.f64 (*.f64 x x) (+.f64 #s(literal 81 binary64) (*.f64 x (+.f64 (*.f64 x (+.f64 (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 y #s(literal 0 binary64)) (*.f64 x (*.f64 y (*.f64 (*.f64 y y) #s(literal 59049 binary64)))))) #s(literal 0 binary64))) (*.f64 y #s(literal 729 binary64))))))
(/ 1 (pow y 2))
(/.f64 #s(literal 1 binary64) (*.f64 y y))
(+ (* 1/9 (/ 1 (* x (pow y 3)))) (/ 1 (pow y 2)))
(+.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (/.f64 #s(literal 1/9 binary64) (*.f64 x (*.f64 y (*.f64 y y)))))
(- (+ (/ 1/9 (* x (pow y 3))) (/ 1 (pow y 2))) (/ 1/729 (* (pow x 3) (pow y 5))))
(-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (/.f64 #s(literal 1/9 binary64) (*.f64 x (*.f64 y (*.f64 y y))))) (/.f64 #s(literal 1/729 binary64) (*.f64 (*.f64 x (*.f64 x x)) (pow.f64 y #s(literal 5 binary64)))))
(+ (* -1 (/ (+ (* 1/729 (/ 1 (pow y 5))) (* 1/6561 (/ 1 (* x (pow y 6))))) (pow x 3))) (+ (/ 1/9 (* x (pow y 3))) (/ 1 (pow y 2))))
(-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (/.f64 #s(literal 1/9 binary64) (*.f64 x (*.f64 y (*.f64 y y))))) (/.f64 (+.f64 (/.f64 #s(literal 1/729 binary64) (pow.f64 y #s(literal 5 binary64))) (/.f64 #s(literal 1/6561 binary64) (*.f64 x (pow.f64 y #s(literal 6 binary64))))) (*.f64 x (*.f64 x x))))
(/ 1 (pow y 2))
(/.f64 #s(literal 1 binary64) (*.f64 y y))
(+ (* 1/9 (/ 1 (* x (pow y 3)))) (/ 1 (pow y 2)))
(+.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (/.f64 #s(literal 1/9 binary64) (*.f64 x (*.f64 y (*.f64 y y)))))
(+ (* -1 (/ (- (* 1/729 (/ 1 (* (pow x 2) (pow y 5)))) (* 1/9 (/ 1 (pow y 3)))) x)) (/ 1 (pow y 2)))
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (/.f64 (+.f64 (/.f64 (/.f64 #s(literal 1/729 binary64) (pow.f64 y #s(literal 5 binary64))) (*.f64 x x)) (/.f64 #s(literal -1/9 binary64) (*.f64 y (*.f64 y y)))) x))
(+ (* -1 (/ (- (+ (/ 1/6561 (* (pow x 3) (pow y 6))) (/ 1/729 (* (pow x 2) (pow y 5)))) (* 1/9 (/ 1 (pow y 3)))) x)) (/ 1 (pow y 2)))
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (/.f64 (+.f64 (/.f64 (/.f64 #s(literal 1/729 binary64) (pow.f64 y #s(literal 5 binary64))) (*.f64 x x)) (+.f64 (/.f64 (/.f64 #s(literal 1/6561 binary64) (pow.f64 y #s(literal 6 binary64))) (*.f64 x (*.f64 x x))) (/.f64 #s(literal -1/9 binary64) (*.f64 y (*.f64 y y))))) x))

eval409.0ms (3.4%)

Compiler

Compiled 27269 to 2411 computations (91.2% saved)

prune202.0ms (1.7%)

Pruning

36 alts after pruning (34 fresh and 2 done)

PrunedKeptTotal
New1102231125
Fresh141125
Picked415
Done112
Total1121361157
Accuracy
100.0%
Counts
1157 → 36
Alt Table
Click to see full alt table
StatusAccuracyProgram
43.7%
(/.f64 (*.f64 (-.f64 #s(literal 9 binary64) (/.f64 #s(literal 1/9 binary64) (*.f64 x x))) (sqrt.f64 x)) (-.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)))
64.1%
(/.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))))
61.9%
(/.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/9 binary64) x))))
38.2%
(/.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) y))
35.9%
(/.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) (*.f64 x #s(literal 9 binary64)))
▶99.2%
(/.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)))))
64.1%
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 y (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64))) (*.f64 (+.f64 (*.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) (+.f64 y (/.f64 #s(literal 1/9 binary64) x))) #s(literal -1 binary64)) (*.f64 (sqrt.f64 x) #s(literal 3 binary64)))))
35.9%
(/.f64 #s(literal 1/3 binary64) (sqrt.f64 x))
61.8%
(*.f64 (pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 2 binary64)) (+.f64 #s(literal -3 binary64) (*.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 3 binary64))))
35.9%
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1/3 binary64))
61.9%
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1/2 binary64))) (+.f64 #s(literal -3 binary64) (*.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 3 binary64))))
62.0%
(*.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64)) (sqrt.f64 x))
60.5%
(*.f64 (*.f64 (pow.f64 (*.f64 x x) #s(literal 1/4 binary64)) (+.f64 y (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)))) #s(literal 3 binary64))
94.1%
(*.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))
35.9%
(*.f64 (*.f64 (sqrt.f64 x) (/.f64 #s(literal 1/9 binary64) x)) #s(literal 3 binary64))
✓99.4%
(*.f64 (*.f64 (sqrt.f64 x) (+.f64 y (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)))) #s(literal 3 binary64))
62.0%
(*.f64 (*.f64 (sqrt.f64 x) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/9 binary64) x))) #s(literal 3 binary64))
88.6%
(*.f64 (*.f64 (sqrt.f64 x) (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/9 binary64) x)) y)))) #s(literal 3 binary64))
38.3%
(*.f64 (*.f64 (sqrt.f64 x) y) #s(literal 3 binary64))
82.1%
(*.f64 (*.f64 y #s(literal 3 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/9 binary64) x)) y)) (sqrt.f64 x)))
▶99.4%
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (pow.f64 (pow.f64 (*.f64 x #s(literal 9 binary64)) #s(literal -1/2 binary64)) #s(literal 2 binary64))) #s(literal 1 binary64)))
63.5%
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 y #s(literal 1 binary64)))
68.7%
(*.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)))
93.6%
(*.f64 (sqrt.f64 x) (/.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 x (-.f64 #s(literal -3 binary64) (*.f64 y #s(literal -3 binary64))))) x))
▶61.9%
(*.f64 (sqrt.f64 x) (/.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -3 binary64))) x))
35.9%
(*.f64 (sqrt.f64 x) (/.f64 #s(literal 1/3 binary64) x))
▶63.5%
(*.f64 (sqrt.f64 x) (-.f64 #s(literal -3 binary64) (*.f64 y #s(literal -3 binary64))))
72.6%
(*.f64 (sqrt.f64 x) (+.f64 (*.f64 #s(literal 3 binary64) y) (/.f64 #s(literal 1/3 binary64) x)))
✓99.3%
(*.f64 (sqrt.f64 x) (+.f64 (*.f64 #s(literal 3 binary64) y) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))))
62.0%
(*.f64 (sqrt.f64 x) (+.f64 #s(literal -3 binary64) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 9 binary64)) #s(literal 3 binary64))))
62.0%
(*.f64 (sqrt.f64 x) (+.f64 #s(literal -3 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) x))))
63.5%
(*.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) (+.f64 y #s(literal -1 binary64))))
38.2%
(*.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) y))
▶27.1%
(*.f64 (sqrt.f64 x) #s(literal -3 binary64))
99.3%
(*.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))))))
35.9%
(*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))
Compiler

Compiled 964 to 730 computations (24.3% saved)

simplify197.0ms (1.7%)

Algorithm
1×egg-herbie
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(+.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 binary64) (+.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 (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 1/3 binary64) (*.f64 x #s(literal -3 binary64)))
✓cost-diff0
(/.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -3 binary64))) x)
✓cost-diff0
(sqrt.f64 x)
✓cost-diff0
(*.f64 (sqrt.f64 x) (/.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -3 binary64))) x))
✓cost-diff0
(*.f64 y #s(literal -3 binary64))
✓cost-diff0
(-.f64 #s(literal -3 binary64) (*.f64 y #s(literal -3 binary64)))
✓cost-diff0
(sqrt.f64 x)
✓cost-diff0
(*.f64 (sqrt.f64 x) (-.f64 #s(literal -3 binary64) (*.f64 y #s(literal -3 binary64))))
✓cost-diff0
(sqrt.f64 x)
✓cost-diff0
(*.f64 (sqrt.f64 x) #s(literal -3 binary64))
✓cost-diff0
(sqrt.f64 x)
✓cost-diff0
(*.f64 #s(literal 3 binary64) (sqrt.f64 x))
✓cost-diff0
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (pow.f64 (pow.f64 (*.f64 x #s(literal 9 binary64)) #s(literal -1/2 binary64)) #s(literal 2 binary64))) #s(literal 1 binary64)))
✓cost-diff12928
(pow.f64 (pow.f64 (*.f64 x #s(literal 9 binary64)) #s(literal -1/2 binary64)) #s(literal 2 binary64))
Rules
2198×*-lowering-*.f32
2198×*-lowering-*.f64
1700×+-lowering-+.f64
1700×+-lowering-+.f32
1140×sum4-define
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
031175
167157
2169157
3463147
41166147
52920147
08175147
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(* (* 3 (sqrt x)) (- (+ y (pow (pow (* x 9) -1/2) 2)) 1))
(* 3 (sqrt x))
3
(sqrt x)
x
(- (+ y (pow (pow (* x 9) -1/2) 2)) 1)
(+ y (pow (pow (* x 9) -1/2) 2))
y
(pow (pow (* x 9) -1/2) 2)
(pow (* x 9) -1/2)
(* x 9)
9
-1/2
2
1
(* (sqrt x) -3)
(sqrt x)
x
-3
(* (sqrt x) (- -3 (* y -3)))
(sqrt x)
x
(- -3 (* y -3))
-3
(* y -3)
y
(* (sqrt x) (/ (+ 1/3 (* x -3)) x))
(sqrt x)
x
(/ (+ 1/3 (* x -3)) x)
(+ 1/3 (* x -3))
1/3
(* x -3)
-3
(/ (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
Outputs
(* (* 3 (sqrt x)) (- (+ y (pow (pow (* x 9) -1/2) 2)) 1))
(*.f64 #s(literal 3 binary64) (*.f64 (sqrt.f64 x) (+.f64 y (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)))))
(* 3 (sqrt x))
(*.f64 #s(literal 3 binary64) (sqrt.f64 x))
3
#s(literal 3 binary64)
(sqrt x)
(sqrt.f64 x)
x
(- (+ y (pow (pow (* x 9) -1/2) 2)) 1)
(+.f64 y (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)))
(+ y (pow (pow (* x 9) -1/2) 2))
(+.f64 y (/.f64 #s(literal 1/9 binary64) x))
y
(pow (pow (* x 9) -1/2) 2)
(/.f64 #s(literal 1/9 binary64) x)
(pow (* x 9) -1/2)
(pow.f64 (*.f64 x #s(literal 9 binary64)) #s(literal -1/2 binary64))
(* x 9)
(*.f64 x #s(literal 9 binary64))
9
#s(literal 9 binary64)
-1/2
#s(literal -1/2 binary64)
2
#s(literal 2 binary64)
1
#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)
(* (sqrt x) (- -3 (* y -3)))
(*.f64 (sqrt.f64 x) (+.f64 #s(literal -3 binary64) (*.f64 #s(literal 3 binary64) y)))
(sqrt x)
(sqrt.f64 x)
x
(- -3 (* y -3))
(+.f64 #s(literal -3 binary64) (*.f64 #s(literal 3 binary64) y))
-3
#s(literal -3 binary64)
(* y -3)
(*.f64 y #s(literal -3 binary64))
y
(* (sqrt x) (/ (+ 1/3 (* x -3)) x))
(/.f64 (*.f64 (sqrt.f64 x) (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -3 binary64)))) x)
(sqrt x)
(sqrt.f64 x)
x
(/ (+ 1/3 (* x -3)) x)
(/.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -3 binary64))) x)
(+ 1/3 (* x -3))
(+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -3 binary64)))
1/3
#s(literal 1/3 binary64)
(* x -3)
(*.f64 x #s(literal -3 binary64))
-3
#s(literal -3 binary64)
(/ (sqrt x) (/ 1 (+ (* 3 y) (+ -3 (/ 1/3 x)))))
(*.f64 #s(literal 3 binary64) (*.f64 (sqrt.f64 x) (+.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 binary64) (+.f64 #s(literal -3 binary64) (*.f64 #s(literal 3 binary64) (+.f64 y (/.f64 #s(literal 1/9 binary64) x)))))
1
#s(literal 1 binary64)
(+ (* 3 y) (+ -3 (/ 1/3 x)))
(+.f64 #s(literal -3 binary64) (*.f64 #s(literal 3 binary64) (+.f64 y (/.f64 #s(literal 1/9 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)

localize345.0ms (2.9%)

Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
✓accuracy99.9%
(+.f64 (*.f64 #s(literal 3 binary64) y) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)))
✓accuracy99.7%
(/.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 3 binary64) y) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))))
✓accuracy99.4%
(/.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 3 binary64) y) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)))))
✓accuracy99.4%
(/.f64 #s(literal 1/3 binary64) x)
✓accuracy100.0%
(sqrt.f64 x)
✓accuracy99.8%
(+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -3 binary64)))
✓accuracy99.5%
(/.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -3 binary64))) x)
✓accuracy99.5%
(*.f64 (sqrt.f64 x) (/.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -3 binary64))) x))
✓accuracy100.0%
(*.f64 y #s(literal -3 binary64))
✓accuracy100.0%
(sqrt.f64 x)
✓accuracy99.9%
(-.f64 #s(literal -3 binary64) (*.f64 y #s(literal -3 binary64)))
✓accuracy99.5%
(*.f64 (sqrt.f64 x) (-.f64 #s(literal -3 binary64) (*.f64 y #s(literal -3 binary64))))
✓accuracy100.0%
(sqrt.f64 x)
✓accuracy99.6%
(*.f64 (sqrt.f64 x) #s(literal -3 binary64))
✓accuracy99.7%
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (pow.f64 (pow.f64 (*.f64 x #s(literal 9 binary64)) #s(literal -1/2 binary64)) #s(literal 2 binary64))) #s(literal 1 binary64)))
✓accuracy99.6%
(*.f64 #s(literal 3 binary64) (sqrt.f64 x))
✓accuracy99.5%
(pow.f64 (*.f64 x #s(literal 9 binary64)) #s(literal -1/2 binary64))
✓accuracy99.3%
(pow.f64 (pow.f64 (*.f64 x #s(literal 9 binary64)) #s(literal -1/2 binary64)) #s(literal 2 binary64))
Results
109.0ms178×0valid
73.0ms39×2valid
52.0ms37×1valid
6.0ms2×5exit
Compiler

Compiled 179 to 32 computations (82.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 119.0ms
ival-pow: 47.0ms (39.7% of total)
ival-mult: 21.0ms (17.7% of total)
ival-div: 12.0ms (10.1% of total)
backward-pass: 12.0ms (10.1% of total)
...c/correct-round.rkt:119:19: 11.0ms (9.3% of total)
ival-add: 8.0ms (6.7% of total)
ival-sub: 4.0ms (3.4% of total)
ival-sqrt: 3.0ms (2.5% of total)
const: 2.0ms (1.7% of total)

series29.0ms (0.2%)

Counts
16 → 252
Calls
Call 1
Inputs
#<alt (pow (pow (* x 9) -1/2) 2)>
#<alt (* (* 3 (sqrt x)) (- (+ y (pow (pow (* x 9) -1/2) 2)) 1))>
#<alt (* 3 (sqrt x))>
#<alt (sqrt x)>
#<alt (* (sqrt x) -3)>
#<alt (* (sqrt x) (- -3 (* y -3)))>
#<alt (- -3 (* y -3))>
#<alt (* y -3)>
#<alt (* (sqrt x) (/ (+ 1/3 (* x -3)) x))>
#<alt (/ (+ 1/3 (* x -3)) x)>
#<alt (+ 1/3 (* x -3))>
#<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 (pow (* x 9) -1/2)>
#<alt (/ 1/3 x)>
Outputs
#<alt (/ 1/9 x)>
#<alt (/ 1/9 x)>
#<alt (/ 1/9 x)>
#<alt (/ 1/9 x)>
#<alt (/ 1/9 x)>
#<alt (/ 1/9 x)>
#<alt (/ 1/9 x)>
#<alt (/ 1/9 x)>
#<alt (* -1 (/ (pow (sqrt -1/9) 2) x))>
#<alt (* -1 (/ (pow (sqrt -1/9) 2) x))>
#<alt (* -1 (/ (pow (sqrt -1/9) 2) x))>
#<alt (* -1 (/ (pow (sqrt -1/9) 2) x))>
#<alt (* 1/3 (sqrt (/ 1 x)))>
#<alt (/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) (- y 1)))) x)>
#<alt (/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) (- y 1)))) x)>
#<alt (/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) (- y 1)))) x)>
#<alt (* 3 (* (sqrt x) (- y 1)))>
#<alt (* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) (- y 1)))))>
#<alt (* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) (- y 1)))))>
#<alt (* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) (- y 1)))))>
#<alt (* -3 (* (sqrt x) (* (pow (sqrt -1) 2) (- y 1))))>
#<alt (* -1 (* x (+ (* -3 (* (sqrt (/ 1 (pow x 3))) (* (pow (sqrt -1) 2) (pow (sqrt -1/9) 2)))) (* 3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1)))))))>
#<alt (* -1 (* x (+ (* -3 (* (sqrt (/ 1 (pow x 3))) (* (pow (sqrt -1) 2) (pow (sqrt -1/9) 2)))) (* 3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1)))))))>
#<alt (* -1 (* x (+ (* -3 (* (sqrt (/ 1 (pow x 3))) (* (pow (sqrt -1) 2) (pow (sqrt -1/9) 2)))) (* 3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1)))))))>
#<alt (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1)))>
#<alt (+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1))))>
#<alt (+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1))))>
#<alt (+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1))))>
#<alt (* 3 (* (sqrt x) y))>
#<alt (* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))>
#<alt (* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))>
#<alt (* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))>
#<alt (* 3 (* (sqrt x) y))>
#<alt (* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))))>
#<alt (* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))))>
#<alt (* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))))>
#<alt (* 3 (sqrt x))>
#<alt (* 3 (sqrt x))>
#<alt (* 3 (sqrt x))>
#<alt (* 3 (sqrt x))>
#<alt (* 3 (sqrt x))>
#<alt (* 3 (sqrt x))>
#<alt (* 3 (sqrt x))>
#<alt (* 3 (sqrt x))>
#<alt (* -3 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* -3 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* -3 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* -3 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (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))>
#<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 (* (sqrt x) (+ 3 (* -3 y))))>
#<alt (* -1 (* (sqrt x) (+ 3 (* -3 y))))>
#<alt (* -1 (* (sqrt x) (+ 3 (* -3 y))))>
#<alt (* -1 (* (sqrt x) (+ 3 (* -3 y))))>
#<alt (* -1 (* (sqrt x) (+ 3 (* -3 y))))>
#<alt (* -1 (* (sqrt x) (+ 3 (* -3 y))))>
#<alt (* -1 (* (sqrt x) (+ 3 (* -3 y))))>
#<alt (* -1 (* (sqrt x) (+ 3 (* -3 y))))>
#<alt (* (sqrt x) (* (pow (sqrt -1) 2) (+ 3 (* -3 y))))>
#<alt (* (sqrt x) (* (pow (sqrt -1) 2) (+ 3 (* -3 y))))>
#<alt (* (sqrt x) (* (pow (sqrt -1) 2) (+ 3 (* -3 y))))>
#<alt (* (sqrt x) (* (pow (sqrt -1) 2) (+ 3 (* -3 y))))>
#<alt (* -3 (sqrt x))>
#<alt (+ (* -3 (sqrt x)) (* 3 (* (sqrt x) y)))>
#<alt (+ (* -3 (sqrt x)) (* 3 (* (sqrt x) y)))>
#<alt (+ (* -3 (sqrt x)) (* 3 (* (sqrt x) y)))>
#<alt (* 3 (* (sqrt x) y))>
#<alt (* y (+ (* -3 (* (sqrt x) (/ 1 y))) (* 3 (sqrt x))))>
#<alt (* y (+ (* -3 (* (sqrt x) (/ 1 y))) (* 3 (sqrt x))))>
#<alt (* y (+ (* -3 (* (sqrt x) (/ 1 y))) (* 3 (sqrt x))))>
#<alt (* 3 (* (sqrt x) y))>
#<alt (* -1 (* y (+ (* -3 (sqrt x)) (* 3 (* (sqrt x) (/ 1 y))))))>
#<alt (* -1 (* y (+ (* -3 (sqrt x)) (* 3 (* (sqrt x) (/ 1 y))))))>
#<alt (* -1 (* y (+ (* -3 (sqrt x)) (* 3 (* (sqrt x) (/ 1 y))))))>
#<alt -3>
#<alt (- (* 3 y) 3)>
#<alt (- (* 3 y) 3)>
#<alt (- (* 3 y) 3)>
#<alt (* 3 y)>
#<alt (* y (- 3 (* 3 (/ 1 y))))>
#<alt (* y (- 3 (* 3 (/ 1 y))))>
#<alt (* y (- 3 (* 3 (/ 1 y))))>
#<alt (* 3 y)>
#<alt (* -1 (* y (- (* 3 (/ 1 y)) 3)))>
#<alt (* -1 (* y (- (* 3 (/ 1 y)) 3)))>
#<alt (* -1 (* y (- (* 3 (/ 1 y)) 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 (/ (+ (* -3 (sqrt (pow x 3))) (* 1/3 (sqrt x))) x)>
#<alt (/ (+ (* -3 (sqrt (pow x 3))) (* 1/3 (sqrt x))) x)>
#<alt (/ (+ (* -3 (sqrt (pow x 3))) (* 1/3 (sqrt x))) x)>
#<alt (* -3 (sqrt x))>
#<alt (* x (+ (* -3 (sqrt (/ 1 x))) (* 1/3 (sqrt (/ 1 (pow x 3))))))>
#<alt (* x (+ (* -3 (sqrt (/ 1 x))) (* 1/3 (sqrt (/ 1 (pow x 3))))))>
#<alt (* x (+ (* -3 (sqrt (/ 1 x))) (* 1/3 (sqrt (/ 1 (pow x 3))))))>
#<alt (* 3 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* -1 (* x (+ (* -3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))))))>
#<alt (* -1 (* x (+ (* -3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))))))>
#<alt (* -1 (* x (+ (* -3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))))))>
#<alt (/ 1/3 x)>
#<alt (/ (+ 1/3 (* -3 x)) x)>
#<alt (/ (+ 1/3 (* -3 x)) x)>
#<alt (/ (+ 1/3 (* -3 x)) x)>
#<alt -3>
#<alt (- (* 1/3 (/ 1 x)) 3)>
#<alt (- (* 1/3 (/ 1 x)) 3)>
#<alt (- (* 1/3 (/ 1 x)) 3)>
#<alt -3>
#<alt (- (* 1/3 (/ 1 x)) 3)>
#<alt (- (* 1/3 (/ 1 x)) 3)>
#<alt (- (* 1/3 (/ 1 x)) 3)>
#<alt 1/3>
#<alt (+ 1/3 (* -3 x))>
#<alt (+ 1/3 (* -3 x))>
#<alt (+ 1/3 (* -3 x))>
#<alt (* -3 x)>
#<alt (* x (- (* 1/3 (/ 1 x)) 3))>
#<alt (* x (- (* 1/3 (/ 1 x)) 3))>
#<alt (* x (- (* 1/3 (/ 1 x)) 3))>
#<alt (* -3 x)>
#<alt (* -1 (* x (- 3 (* 1/3 (/ 1 x)))))>
#<alt (* -1 (* x (- 3 (* 1/3 (/ 1 x)))))>
#<alt (* -1 (* x (- 3 (* 1/3 (/ 1 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 (/ 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 (/ 1 x)) (* (sqrt -1) (sqrt -1/9)))>
#<alt (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt -1/9)))>
#<alt (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt -1/9)))>
#<alt (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt -1/9)))>
#<alt (/ 1/3 x)>
#<alt (/ 1/3 x)>
#<alt (/ 1/3 x)>
#<alt (/ 1/3 x)>
#<alt (/ 1/3 x)>
#<alt (/ 1/3 x)>
#<alt (/ 1/3 x)>
#<alt (/ 1/3 x)>
#<alt (/ 1/3 x)>
#<alt (/ 1/3 x)>
#<alt (/ 1/3 x)>
#<alt (/ 1/3 x)>
Calls

63 calls:

TimeVariablePointExpression
15.0ms
x
@0
(* (sqrt x) (- -3 (* y -3)))
1.0ms
x
@-inf
(pow (pow (* x 9) -1/2) 2)
1.0ms
x
@-inf
(* (sqrt x) (- -3 (* y -3)))
1.0ms
x
@-inf
(* (* 3 (sqrt x)) (- (+ y (pow (pow (* x 9) -1/2) 2)) 1))
1.0ms
x
@inf
(/ 1 (+ (* 3 y) (+ -3 (/ 1/3 x))))

rewrite399.0ms (3.4%)

Algorithm
1×batch-egg-rewrite
Rules
3948×*-lowering-*.f32
3948×*-lowering-*.f64
3334×/-lowering-/.f32
3334×/-lowering-/.f64
2158×+-lowering-+.f64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
031104
118695
2156593
0907093
Stop Event
1×iter limit
1×node limit
Counts
16 → 545
Calls
Call 1
Inputs
(pow (pow (* x 9) -1/2) 2)
(* (* 3 (sqrt x)) (- (+ y (pow (pow (* x 9) -1/2) 2)) 1))
(* 3 (sqrt x))
(sqrt x)
(* (sqrt x) -3)
(* (sqrt x) (- -3 (* y -3)))
(- -3 (* y -3))
(* y -3)
(* (sqrt x) (/ (+ 1/3 (* x -3)) x))
(/ (+ 1/3 (* x -3)) x)
(+ 1/3 (* x -3))
(/ (sqrt x) (/ 1 (+ (* 3 y) (+ -3 (/ 1/3 x)))))
(/ 1 (+ (* 3 y) (+ -3 (/ 1/3 x))))
(+ (* 3 y) (+ -3 (/ 1/3 x)))
(pow (* x 9) -1/2)
(/ 1/3 x)
Outputs
(exp.f64 (log.f64 (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 x #s(literal 9 binary64)) (*.f64 x #s(literal 9 binary64)))) #s(literal -1/2 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 x #s(literal 9 binary64))))
(pow.f64 (*.f64 x #s(literal 9 binary64)) #s(literal -1 binary64))
(pow.f64 (pow.f64 (*.f64 x #s(literal 9 binary64)) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64))) #s(literal 1 binary64))
(pow.f64 (pow.f64 (*.f64 x #s(literal 9 binary64)) #s(literal -1/4 binary64)) #s(literal 4 binary64))
(pow.f64 (*.f64 (*.f64 x #s(literal 9 binary64)) (*.f64 x #s(literal 9 binary64))) #s(literal -1/2 binary64))
(pow.f64 (*.f64 (*.f64 (*.f64 x #s(literal 9 binary64)) (*.f64 x #s(literal 9 binary64))) (*.f64 (*.f64 x #s(literal 9 binary64)) (*.f64 x #s(literal 9 binary64)))) #s(literal -1/4 binary64))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1/2 binary64) (log.f64 (*.f64 x #s(literal 9 binary64)))))
(*.f64 (pow.f64 (*.f64 x #s(literal 9 binary64)) #s(literal -1/2 binary64)) (pow.f64 (*.f64 x #s(literal 9 binary64)) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 (*.f64 #s(literal 9 binary64) (*.f64 x #s(literal 9 binary64))) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 (pow.f64 (*.f64 #s(literal 9 binary64) (*.f64 x #s(literal 9 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(*.f64 #s(literal 1/9 binary64) (/.f64 #s(literal 1 binary64) x))
(*.f64 #s(literal 1/9 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/9 binary64))
(*.f64 (pow.f64 (*.f64 x #s(literal 9 binary64)) #s(literal -1/4 binary64)) (pow.f64 (*.f64 x #s(literal 9 binary64)) #s(literal -3/4 binary64)))
(*.f64 (pow.f64 (*.f64 x #s(literal 9 binary64)) #s(literal -1/4 binary64)) (pow.f64 (pow.f64 (*.f64 x #s(literal 9 binary64)) #s(literal -3/4 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (*.f64 (*.f64 x #s(literal 9 binary64)) x) #s(literal -1/2 binary64)) (pow.f64 #s(literal 9 binary64) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (*.f64 x #s(literal 9 binary64)) #s(literal -3/4 binary64)) (pow.f64 (*.f64 x #s(literal 9 binary64)) #s(literal -1/4 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) #s(literal 1/9 binary64))
(*.f64 (pow.f64 (pow.f64 (*.f64 (*.f64 x #s(literal 9 binary64)) x) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (pow.f64 #s(literal 9 binary64) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (pow.f64 (*.f64 x #s(literal 9 binary64)) #s(literal -3/4 binary64)) #s(literal 1 binary64)) (pow.f64 (*.f64 x #s(literal 9 binary64)) #s(literal -1/4 binary64)))
(+.f64 (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) y) (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64))) #s(literal -1 binary64))))
(+.f64 (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64))) y)) (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) #s(literal -1 binary64)))
(+.f64 (*.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64))) #s(literal -1 binary64)) (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
(+.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64))) y) (*.f64 #s(literal 3 binary64) (sqrt.f64 x))) (*.f64 #s(literal -1 binary64) (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
(fma.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) y (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64))) #s(literal -1 binary64))))
(fma.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64))) y) (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) #s(literal -1 binary64)))
(fma.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64))) #s(literal -1 binary64)) (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
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(*.f64 (pow.f64 (pow.f64 (+.f64 (*.f64 #s(literal 3 binary64) y) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (+.f64 (*.f64 #s(literal 3 binary64) y) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))) #s(literal -1/2 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -27 binary64) (*.f64 y (*.f64 y y))) (*.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)) (*.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 9 binary64) (*.f64 y y)) (*.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)) (-.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)) (*.f64 #s(literal 3 binary64) y))))))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 #s(literal 9 binary64) (*.f64 y y)) (*.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))))) #s(literal -1 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 (+.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)))) #s(literal 1 binary64)) (/.f64 (+.f64 (*.f64 #s(literal 3 binary64) y) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))) (+.f64 (*.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))))))
(exp.f64 (*.f64 #s(literal -1/2 binary64) (log.f64 (*.f64 x #s(literal 9 binary64)))))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 x #s(literal 9 binary64))) #s(literal -1/4 binary64)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 x #s(literal 9 binary64)) (*.f64 x #s(literal 9 binary64)))) #s(literal -1/4 binary64)))
(pow.f64 (*.f64 x #s(literal 9 binary64)) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 (*.f64 x #s(literal 9 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64))) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (*.f64 x #s(literal 9 binary64)) #s(literal -1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 (*.f64 x #s(literal 9 binary64)) (*.f64 x #s(literal 9 binary64))) #s(literal -1/4 binary64))
(pow.f64 (exp.f64 #s(literal -1/2 binary64)) (log.f64 (*.f64 x #s(literal 9 binary64))))
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 #s(literal 9 binary64) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 #s(literal 9 binary64) #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (*.f64 x #s(literal 9 binary64)) #s(literal -1/4 binary64)) (pow.f64 (*.f64 x #s(literal 9 binary64)) #s(literal -1/4 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 x #s(literal 1/3 binary64))) #s(literal -1 binary64)))
(neg.f64 (/.f64 #s(literal -1/3 binary64) x))
(/.f64 #s(literal 1 binary64) (/.f64 x #s(literal 1/3 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 x #s(literal 1/3 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 x #s(literal 1/3 binary64)))))
(/.f64 #s(literal 1/3 binary64) x)
(/.f64 #s(literal 1/3 binary64) (neg.f64 (-.f64 #s(literal 0 binary64) x)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 x #s(literal 1/3 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 x #s(literal 1/3 binary64)) #s(literal 1 binary64))))
(/.f64 #s(literal -1/3 binary64) (-.f64 #s(literal 0 binary64) x))
(/.f64 #s(literal -1/3 binary64) (neg.f64 (neg.f64 (-.f64 #s(literal 0 binary64) x))))
(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 binary64) (/.f64 #s(literal 1/3 binary64) x))
(*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) x))
(*.f64 #s(literal -1/3 binary64) (/.f64 #s(literal -1 binary64) x))
(*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/3 binary64))

simplify309.0ms (2.6%)

Algorithm
1×egg-herbie
Rules
4876×*-lowering-*.f32
4876×*-lowering-*.f64
2536×+-lowering-+.f64
2536×+-lowering-+.f32
1820×fma-define
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02972313
19302105
229712053
081752053
Stop Event
1×iter limit
1×node limit
Counts
252 → 252
Calls
Call 1
Inputs
(/ 1/9 x)
(/ 1/9 x)
(/ 1/9 x)
(/ 1/9 x)
(/ 1/9 x)
(/ 1/9 x)
(/ 1/9 x)
(/ 1/9 x)
(* -1 (/ (pow (sqrt -1/9) 2) x))
(* -1 (/ (pow (sqrt -1/9) 2) x))
(* -1 (/ (pow (sqrt -1/9) 2) x))
(* -1 (/ (pow (sqrt -1/9) 2) x))
(* 1/3 (sqrt (/ 1 x)))
(/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) (- y 1)))) x)
(/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) (- y 1)))) x)
(/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) (- y 1)))) x)
(* 3 (* (sqrt x) (- y 1)))
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) (- y 1)))))
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) (- y 1)))))
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) (- y 1)))))
(* -3 (* (sqrt x) (* (pow (sqrt -1) 2) (- y 1))))
(* -1 (* x (+ (* -3 (* (sqrt (/ 1 (pow x 3))) (* (pow (sqrt -1) 2) (pow (sqrt -1/9) 2)))) (* 3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1)))))))
(* -1 (* x (+ (* -3 (* (sqrt (/ 1 (pow x 3))) (* (pow (sqrt -1) 2) (pow (sqrt -1/9) 2)))) (* 3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1)))))))
(* -1 (* x (+ (* -3 (* (sqrt (/ 1 (pow x 3))) (* (pow (sqrt -1) 2) (pow (sqrt -1/9) 2)))) (* 3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1)))))))
(* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1)))
(+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1))))
(+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1))))
(+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1))))
(* 3 (* (sqrt x) y))
(* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))
(* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))
(* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))
(* 3 (* (sqrt x) y))
(* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))))
(* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))))
(* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))))
(* 3 (sqrt x))
(* 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))
(* -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 (* (sqrt x) (+ 3 (* -3 y))))
(* -1 (* (sqrt x) (+ 3 (* -3 y))))
(* -1 (* (sqrt x) (+ 3 (* -3 y))))
(* -1 (* (sqrt x) (+ 3 (* -3 y))))
(* -1 (* (sqrt x) (+ 3 (* -3 y))))
(* -1 (* (sqrt x) (+ 3 (* -3 y))))
(* -1 (* (sqrt x) (+ 3 (* -3 y))))
(* -1 (* (sqrt x) (+ 3 (* -3 y))))
(* (sqrt x) (* (pow (sqrt -1) 2) (+ 3 (* -3 y))))
(* (sqrt x) (* (pow (sqrt -1) 2) (+ 3 (* -3 y))))
(* (sqrt x) (* (pow (sqrt -1) 2) (+ 3 (* -3 y))))
(* (sqrt x) (* (pow (sqrt -1) 2) (+ 3 (* -3 y))))
(* -3 (sqrt x))
(+ (* -3 (sqrt x)) (* 3 (* (sqrt x) y)))
(+ (* -3 (sqrt x)) (* 3 (* (sqrt x) y)))
(+ (* -3 (sqrt x)) (* 3 (* (sqrt x) y)))
(* 3 (* (sqrt x) y))
(* y (+ (* -3 (* (sqrt x) (/ 1 y))) (* 3 (sqrt x))))
(* y (+ (* -3 (* (sqrt x) (/ 1 y))) (* 3 (sqrt x))))
(* y (+ (* -3 (* (sqrt x) (/ 1 y))) (* 3 (sqrt x))))
(* 3 (* (sqrt x) y))
(* -1 (* y (+ (* -3 (sqrt x)) (* 3 (* (sqrt x) (/ 1 y))))))
(* -1 (* y (+ (* -3 (sqrt x)) (* 3 (* (sqrt x) (/ 1 y))))))
(* -1 (* y (+ (* -3 (sqrt x)) (* 3 (* (sqrt x) (/ 1 y))))))
-3
(- (* 3 y) 3)
(- (* 3 y) 3)
(- (* 3 y) 3)
(* 3 y)
(* y (- 3 (* 3 (/ 1 y))))
(* y (- 3 (* 3 (/ 1 y))))
(* y (- 3 (* 3 (/ 1 y))))
(* 3 y)
(* -1 (* y (- (* 3 (/ 1 y)) 3)))
(* -1 (* y (- (* 3 (/ 1 y)) 3)))
(* -1 (* y (- (* 3 (/ 1 y)) 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)))
(/ (+ (* -3 (sqrt (pow x 3))) (* 1/3 (sqrt x))) x)
(/ (+ (* -3 (sqrt (pow x 3))) (* 1/3 (sqrt x))) x)
(/ (+ (* -3 (sqrt (pow x 3))) (* 1/3 (sqrt x))) x)
(* -3 (sqrt x))
(* x (+ (* -3 (sqrt (/ 1 x))) (* 1/3 (sqrt (/ 1 (pow x 3))))))
(* x (+ (* -3 (sqrt (/ 1 x))) (* 1/3 (sqrt (/ 1 (pow x 3))))))
(* x (+ (* -3 (sqrt (/ 1 x))) (* 1/3 (sqrt (/ 1 (pow x 3))))))
(* 3 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* x (+ (* -3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))))))
(* -1 (* x (+ (* -3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))))))
(* -1 (* x (+ (* -3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))))))
(/ 1/3 x)
(/ (+ 1/3 (* -3 x)) x)
(/ (+ 1/3 (* -3 x)) x)
(/ (+ 1/3 (* -3 x)) x)
-3
(- (* 1/3 (/ 1 x)) 3)
(- (* 1/3 (/ 1 x)) 3)
(- (* 1/3 (/ 1 x)) 3)
-3
(- (* 1/3 (/ 1 x)) 3)
(- (* 1/3 (/ 1 x)) 3)
(- (* 1/3 (/ 1 x)) 3)
1/3
(+ 1/3 (* -3 x))
(+ 1/3 (* -3 x))
(+ 1/3 (* -3 x))
(* -3 x)
(* x (- (* 1/3 (/ 1 x)) 3))
(* x (- (* 1/3 (/ 1 x)) 3))
(* x (- (* 1/3 (/ 1 x)) 3))
(* -3 x)
(* -1 (* x (- 3 (* 1/3 (/ 1 x)))))
(* -1 (* x (- 3 (* 1/3 (/ 1 x)))))
(* -1 (* x (- 3 (* 1/3 (/ 1 x)))))
(* 1/3 (sqrt (/ 1 x)))
(/ (+ (* 1/3 (sqrt x)) (* (sqrt (pow x 3)) (- (* 3 y) 3))) x)
(/ (+ (* 1/3 (sqrt x)) (* (sqrt (pow x 3)) (- (* 3 y) 3))) x)
(/ (+ (* 1/3 (sqrt x)) (* (sqrt (pow x 3)) (- (* 3 y) 3))) x)
(* (sqrt x) (- (* 3 y) 3))
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (- (* 3 y) 3))))
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (- (* 3 y) 3))))
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (- (* 3 y) 3))))
(* -1 (* (sqrt x) (* (pow (sqrt -1) 2) (- (* 3 y) 3))))
(* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- (* 3 y) 3))))))
(* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- (* 3 y) 3))))))
(* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- (* 3 y) 3))))))
(* (sqrt x) (- (* 1/3 (/ 1 x)) 3))
(+ (* 3 (* (sqrt x) y)) (* (sqrt x) (- (* 1/3 (/ 1 x)) 3)))
(+ (* 3 (* (sqrt x) y)) (* (sqrt x) (- (* 1/3 (/ 1 x)) 3)))
(+ (* 3 (* (sqrt x) y)) (* (sqrt x) (- (* 1/3 (/ 1 x)) 3)))
(* 3 (* (sqrt x) y))
(* y (+ (* 3 (sqrt x)) (* (sqrt x) (/ (- (* 1/3 (/ 1 x)) 3) y))))
(* y (+ (* 3 (sqrt x)) (* (sqrt x) (/ (- (* 1/3 (/ 1 x)) 3) y))))
(* y (+ (* 3 (sqrt x)) (* (sqrt x) (/ (- (* 1/3 (/ 1 x)) 3) y))))
(* 3 (* (sqrt x) y))
(* -1 (* y (+ (* -3 (sqrt x)) (* -1 (* (sqrt x) (/ (- (* 1/3 (/ 1 x)) 3) y))))))
(* -1 (* y (+ (* -3 (sqrt x)) (* -1 (* (sqrt x) (/ (- (* 1/3 (/ 1 x)) 3) y))))))
(* -1 (* y (+ (* -3 (sqrt x)) (* -1 (* (sqrt x) (/ (- (* 1/3 (/ 1 x)) 3) y))))))
(/ 1 (- (* 1/3 (/ 1 x)) 3))
(+ (* -3 (/ y (pow (- (* 1/3 (/ 1 x)) 3) 2))) (/ 1 (- (* 1/3 (/ 1 x)) 3)))
(+ (* y (- (* 9 (/ y (pow (- (* 1/3 (/ 1 x)) 3) 3))) (* 3 (/ 1 (pow (- (* 1/3 (/ 1 x)) 3) 2))))) (/ 1 (- (* 1/3 (/ 1 x)) 3)))
(+ (* y (- (* y (+ (* -27 (/ y (pow (- (* 1/3 (/ 1 x)) 3) 4))) (* 9 (/ 1 (pow (- (* 1/3 (/ 1 x)) 3) 3))))) (* 3 (/ 1 (pow (- (* 1/3 (/ 1 x)) 3) 2))))) (/ 1 (- (* 1/3 (/ 1 x)) 3)))
(/ 1/3 y)
(/ (+ 1/3 (* -1/9 (/ (- (* 1/3 (/ 1 x)) 3) y))) y)
(/ (- (+ 1/3 (* 1/27 (/ (pow (- (* 1/3 (/ 1 x)) 3) 2) (pow y 2)))) (* 1/9 (/ (- (* 1/3 (/ 1 x)) 3) y))) y)
(/ (- (+ 1/3 (* -1/81 (/ (pow (- (* 1/3 (/ 1 x)) 3) 3) (pow y 3)))) (+ (* -1/27 (/ (pow (- (* 1/3 (/ 1 x)) 3) 2) (pow y 2))) (* 1/9 (/ (- (* 1/3 (/ 1 x)) 3) y)))) y)
(/ 1/3 y)
(* -1 (/ (- (* 1/9 (/ (- (* 1/3 (/ 1 x)) 3) y)) 1/3) y))
(* -1 (/ (- (* -1 (/ (- (* 1/27 (/ (pow (- (* 1/3 (/ 1 x)) 3) 2) y)) (* 1/9 (- (* 1/3 (/ 1 x)) 3))) y)) 1/3) y))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/81 (/ (pow (- (* 1/3 (/ 1 x)) 3) 3) y)) (* 1/27 (pow (- (* 1/3 (/ 1 x)) 3) 2))) y)) (* 1/9 (- (* 1/3 (/ 1 x)) 3))) y)) 1/3) y))
(* 3 x)
(* x (+ 3 (* -9 (* x (- (* 3 y) 3)))))
(* x (+ 3 (* x (- (* 27 (* x (pow (- (* 3 y) 3) 2))) (* 9 (- (* 3 y) 3))))))
(* x (+ 3 (* x (- (* x (- (* -81 (* x (pow (- (* 3 y) 3) 3))) (* -27 (pow (- (* 3 y) 3) 2)))) (* 9 (- (* 3 y) 3))))))
(/ 1 (- (* 3 y) 3))
(- (/ 1 (- (* 3 y) 3)) (* 1/3 (/ 1 (* x (pow (- (* 3 y) 3) 2)))))
(- (+ (/ 1/9 (* (pow x 2) (pow (- (* 3 y) 3) 3))) (/ 1 (- (* 3 y) 3))) (/ 1/3 (* x (pow (- (* 3 y) 3) 2))))
(- (+ (* 1/9 (/ 1 (* (pow x 2) (pow (- (* 3 y) 3) 3)))) (/ 1 (- (* 3 y) 3))) (+ (/ 1/3 (* x (pow (- (* 3 y) 3) 2))) (* 1/27 (/ 1 (* (pow x 3) (pow (- (* 3 y) 3) 4))))))
(/ 1 (- (* 3 y) 3))
(- (/ 1 (- (* 3 y) 3)) (* 1/3 (/ 1 (* x (pow (- (* 3 y) 3) 2)))))
(+ (* -1 (/ (- (* 1/3 (/ 1 (pow (- (* 3 y) 3) 2))) (* 1/9 (/ 1 (* x (pow (- (* 3 y) 3) 3))))) x)) (/ 1 (- (* 3 y) 3)))
(+ (* -1 (/ (+ (* -1 (/ (- (* 1/9 (/ 1 (pow (- (* 3 y) 3) 3))) (* 1/27 (/ 1 (* x (pow (- (* 3 y) 3) 4))))) x)) (* 1/3 (/ 1 (pow (- (* 3 y) 3) 2)))) x)) (/ 1 (- (* 3 y) 3)))
(- (* 1/3 (/ 1 x)) 3)
(- (+ (* 1/3 (/ 1 x)) (* 3 y)) 3)
(- (+ (* 1/3 (/ 1 x)) (* 3 y)) 3)
(- (+ (* 1/3 (/ 1 x)) (* 3 y)) 3)
(* 3 y)
(* y (- (+ 3 (/ 1/3 (* x y))) (* 3 (/ 1 y))))
(* y (- (+ 3 (/ 1/3 (* x y))) (* 3 (/ 1 y))))
(* y (- (+ 3 (/ 1/3 (* x y))) (* 3 (/ 1 y))))
(* 3 y)
(* -1 (* y (- (* -1 (/ (- (* 1/3 (/ 1 x)) 3) y)) 3)))
(* -1 (* y (- (* -1 (/ (- (* 1/3 (/ 1 x)) 3) y)) 3)))
(* -1 (* y (- (* -1 (/ (- (* 1/3 (/ 1 x)) 3) y)) 3)))
(/ 1/3 x)
(/ (+ 1/3 (* x (- (* 3 y) 3))) x)
(/ (+ 1/3 (* x (- (* 3 y) 3))) x)
(/ (+ 1/3 (* x (- (* 3 y) 3))) x)
(- (* 3 y) 3)
(- (+ (* 3 y) (* 1/3 (/ 1 x))) 3)
(- (+ (* 3 y) (* 1/3 (/ 1 x))) 3)
(- (+ (* 3 y) (* 1/3 (/ 1 x))) 3)
(- (* 3 y) 3)
(- (+ (* 3 y) (* 1/3 (/ 1 x))) 3)
(- (+ (* 3 y) (* 1/3 (/ 1 x))) 3)
(- (+ (* 3 y) (* 1/3 (/ 1 x))) 3)
(* 1/3 (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 (/ 1 x)) (* (sqrt -1) (sqrt -1/9)))
(* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt -1/9)))
(* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt -1/9)))
(* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt -1/9)))
(/ 1/3 x)
(/ 1/3 x)
(/ 1/3 x)
(/ 1/3 x)
(/ 1/3 x)
(/ 1/3 x)
(/ 1/3 x)
(/ 1/3 x)
(/ 1/3 x)
(/ 1/3 x)
(/ 1/3 x)
(/ 1/3 x)
Outputs
(/ 1/9 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 (/ (pow (sqrt -1/9) 2) x))
(/.f64 #s(literal 1/9 binary64) x)
(* -1 (/ (pow (sqrt -1/9) 2) x))
(/.f64 #s(literal 1/9 binary64) x)
(* -1 (/ (pow (sqrt -1/9) 2) x))
(/.f64 #s(literal 1/9 binary64) x)
(* -1 (/ (pow (sqrt -1/9) 2) 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 x)) (* 3 (* (sqrt (pow x 3)) (- y 1)))) x)
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(- (+ (* 3 y) (* 1/3 (/ 1 x))) 3)
(+.f64 (*.f64 #s(literal 3 binary64) y) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)))
(- (+ (* 3 y) (* 1/3 (/ 1 x))) 3)
(+.f64 (*.f64 #s(literal 3 binary64) y) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)))
(- (+ (* 3 y) (* 1/3 (/ 1 x))) 3)
(+.f64 (*.f64 #s(literal 3 binary64) y) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)))
(* 1/3 (sqrt (/ 1 x)))
(*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(* 1/3 (sqrt (/ 1 x)))
(*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(* 1/3 (sqrt (/ 1 x)))
(*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(* 1/3 (sqrt (/ 1 x)))
(*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(* 1/3 (sqrt (/ 1 x)))
(*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(* 1/3 (sqrt (/ 1 x)))
(*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(* 1/3 (sqrt (/ 1 x)))
(*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(* 1/3 (sqrt (/ 1 x)))
(*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt -1/9)))
(*.f64 (sqrt.f64 #s(literal -1/9 binary64)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal -1 binary64))))
(* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt -1/9)))
(*.f64 (sqrt.f64 #s(literal -1/9 binary64)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal -1 binary64))))
(* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt -1/9)))
(*.f64 (sqrt.f64 #s(literal -1/9 binary64)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal -1 binary64))))
(* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt -1/9)))
(*.f64 (sqrt.f64 #s(literal -1/9 binary64)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal -1 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)

eval135.0ms (1.1%)

Compiler

Compiled 20124 to 2508 computations (87.5% saved)

prune137.0ms (1.2%)

Pruning

33 alts after pruning (29 fresh and 4 done)

PrunedKeptTotal
New89510905
Fresh101929
Picked325
Done022
Total90833941
Accuracy
100.0%
Counts
941 → 33
Alt Table
Click to see full alt table
StatusAccuracyProgram
47.0%
(/.f64 (*.f64 (-.f64 #s(literal 9 binary64) (*.f64 #s(literal 9 binary64) (*.f64 y y))) (sqrt.f64 x)) (+.f64 #s(literal -3 binary64) (*.f64 y #s(literal -3 binary64))))
55.8%
(/.f64 (*.f64 (sqrt.f64 x) (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -3 binary64)))) x)
61.9%
(/.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/9 binary64) x))))
35.9%
(/.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) (*.f64 x #s(literal 9 binary64)))
61.9%
(/.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))))
▶38.2%
(/.f64 (sqrt.f64 x) (/.f64 #s(literal 1/3 binary64) y))
35.9%
(/.f64 (sqrt.f64 x) (*.f64 x #s(literal 3 binary64)))
64.1%
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 y (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64))) (*.f64 (+.f64 (*.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) (+.f64 y (/.f64 #s(literal 1/9 binary64) x))) #s(literal -1 binary64)) (*.f64 (sqrt.f64 x) #s(literal 3 binary64)))))
▶35.9%
(/.f64 #s(literal 1/3 binary64) (sqrt.f64 x))
35.9%
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1/3 binary64))
63.4%
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1/2 binary64))) (-.f64 #s(literal -3 binary64) (*.f64 y #s(literal -3 binary64))))
27.0%
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1/2 binary64))) #s(literal -3 binary64))
55.8%
(*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -3 binary64))))))
62.0%
(*.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64)) (sqrt.f64 x))
▶62.0%
(*.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -3 binary64))) (pow.f64 x #s(literal -1/2 binary64)))
60.5%
(*.f64 (*.f64 (pow.f64 (*.f64 x x) #s(literal 1/4 binary64)) (+.f64 y (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)))) #s(literal 3 binary64))
✓99.4%
(*.f64 (*.f64 (sqrt.f64 x) (+.f64 y (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)))) #s(literal 3 binary64))
88.6%
(*.f64 (*.f64 (sqrt.f64 x) (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/9 binary64) x)) y)))) #s(literal 3 binary64))
38.3%
(*.f64 (*.f64 (sqrt.f64 x) y) #s(literal 3 binary64))
63.5%
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 y #s(literal 1 binary64)))
68.7%
(*.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)))
▶93.6%
(*.f64 (sqrt.f64 x) (/.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 x (-.f64 #s(literal -3 binary64) (*.f64 y #s(literal -3 binary64))))) x))
27.1%
(*.f64 (sqrt.f64 x) (/.f64 (*.f64 x #s(literal -3 binary64)) x))
35.9%
(*.f64 (sqrt.f64 x) (/.f64 #s(literal 1/3 binary64) x))
✓63.5%
(*.f64 (sqrt.f64 x) (-.f64 #s(literal -3 binary64) (*.f64 y #s(literal -3 binary64))))
72.6%
(*.f64 (sqrt.f64 x) (+.f64 (*.f64 #s(literal 3 binary64) y) (/.f64 #s(literal 1/3 binary64) x)))
✓99.3%
(*.f64 (sqrt.f64 x) (+.f64 (*.f64 #s(literal 3 binary64) y) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))))
62.0%
(*.f64 (sqrt.f64 x) (+.f64 #s(literal -3 binary64) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 9 binary64)) #s(literal 3 binary64))))
63.5%
(*.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) (+.f64 y #s(literal -1 binary64))))
38.2%
(*.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) y))
✓27.1%
(*.f64 (sqrt.f64 x) #s(literal -3 binary64))
▶99.3%
(*.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))))))
35.9%
(*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))
Compiler

Compiled 782 to 586 computations (25.1% saved)

simplify173.0ms (1.5%)

Algorithm
1×egg-herbie
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(+.f64 #s(literal 1/3 binary64) (*.f64 x (-.f64 #s(literal -3 binary64) (*.f64 y #s(literal -3 binary64)))))
✓cost-diff0
(/.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 x (-.f64 #s(literal -3 binary64) (*.f64 y #s(literal -3 binary64))))) x)
✓cost-diff0
(sqrt.f64 x)
✓cost-diff0
(*.f64 (sqrt.f64 x) (/.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 x (-.f64 #s(literal -3 binary64) (*.f64 y #s(literal -3 binary64))))) x))
✓cost-diff0
(pow.f64 x #s(literal -1/2 binary64))
✓cost-diff0
(*.f64 x #s(literal -3 binary64))
✓cost-diff0
(+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -3 binary64)))
✓cost-diff0
(*.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -3 binary64))) (pow.f64 x #s(literal -1/2 binary64)))
✓cost-diff0
(/.f64 #s(literal 1/3 binary64) y)
✓cost-diff0
(sqrt.f64 x)
✓cost-diff0
(/.f64 (sqrt.f64 x) (/.f64 #s(literal 1/3 binary64) y))
✓cost-diff0
(sqrt.f64 x)
✓cost-diff0
(/.f64 #s(literal 1/3 binary64) (sqrt.f64 x))
✓cost-diff0
(/.f64 #s(literal 1 binary64) (+.f64 y (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64))))
✓cost-diff0
(sqrt.f64 x)
✓cost-diff0
(*.f64 #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))))))
✓cost-diff128
(/.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) (+.f64 y (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)))))
Rules
2902×*-lowering-*.f32
2902×*-lowering-*.f64
1638×fma-lowering-fma.f32
1638×fma-lowering-fma.f64
1468×sum3-define
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
029156
157145
2133140
3372140
4886140
51898140
64390140
08011140
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(* 3 (/ (sqrt x) (/ 1 (+ y (+ (/ 1/9 x) -1)))))
3
(/ (sqrt x) (/ 1 (+ y (+ (/ 1/9 x) -1))))
(sqrt x)
x
(/ 1 (+ y (+ (/ 1/9 x) -1)))
1
(+ y (+ (/ 1/9 x) -1))
y
(+ (/ 1/9 x) -1)
(/ 1/9 x)
1/9
-1
(/ 1/3 (sqrt x))
1/3
(sqrt x)
x
(/ (sqrt x) (/ 1/3 y))
(sqrt x)
x
(/ 1/3 y)
1/3
y
(* (+ 1/3 (* x -3)) (pow x -1/2))
(+ 1/3 (* x -3))
1/3
(* x -3)
x
-3
(pow x -1/2)
-1/2
(* (sqrt x) (/ (+ 1/3 (* x (- -3 (* y -3)))) x))
(sqrt x)
x
(/ (+ 1/3 (* x (- -3 (* y -3)))) x)
(+ 1/3 (* x (- -3 (* y -3))))
1/3
(* x (- -3 (* y -3)))
(- -3 (* y -3))
-3
(* y -3)
y
Outputs
(* 3 (/ (sqrt x) (/ 1 (+ y (+ (/ 1/9 x) -1)))))
(*.f64 #s(literal 3 binary64) (*.f64 (sqrt.f64 x) (+.f64 (/.f64 #s(literal 1/9 binary64) x) (+.f64 y #s(literal -1 binary64)))))
3
#s(literal 3 binary64)
(/ (sqrt x) (/ 1 (+ y (+ (/ 1/9 x) -1))))
(*.f64 (sqrt.f64 x) (+.f64 (/.f64 #s(literal 1/9 binary64) x) (+.f64 y #s(literal -1 binary64))))
(sqrt x)
(sqrt.f64 x)
x
(/ 1 (+ y (+ (/ 1/9 x) -1)))
(/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) x) (+.f64 y #s(literal -1 binary64))))
1
#s(literal 1 binary64)
(+ y (+ (/ 1/9 x) -1))
(+.f64 (/.f64 #s(literal 1/9 binary64) x) (+.f64 y #s(literal -1 binary64)))
y
(+ (/ 1/9 x) -1)
(+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64))
(/ 1/9 x)
(/.f64 #s(literal 1/9 binary64) x)
1/9
#s(literal 1/9 binary64)
-1
#s(literal -1 binary64)
(/ 1/3 (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) (/ 1/3 y))
(/.f64 (*.f64 (sqrt.f64 x) y) #s(literal 1/3 binary64))
(sqrt x)
(sqrt.f64 x)
x
(/ 1/3 y)
(/.f64 #s(literal 1/3 binary64) y)
1/3
#s(literal 1/3 binary64)
y
(* (+ 1/3 (* x -3)) (pow x -1/2))
(*.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -3 binary64))) (pow.f64 x #s(literal -1/2 binary64)))
(+ 1/3 (* x -3))
(+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -3 binary64)))
1/3
#s(literal 1/3 binary64)
(* x -3)
(*.f64 x #s(literal -3 binary64))
x
-3
#s(literal -3 binary64)
(pow x -1/2)
(pow.f64 x #s(literal -1/2 binary64))
-1/2
#s(literal -1/2 binary64)
(* (sqrt x) (/ (+ 1/3 (* x (- -3 (* y -3)))) x))
(*.f64 (-.f64 #s(literal 1/3 binary64) (*.f64 #s(literal -3 binary64) (*.f64 x (+.f64 y #s(literal -1 binary64))))) (/.f64 (sqrt.f64 x) x))
(sqrt x)
(sqrt.f64 x)
x
(/ (+ 1/3 (* x (- -3 (* y -3)))) x)
(/.f64 (-.f64 #s(literal 1/3 binary64) (*.f64 #s(literal -3 binary64) (*.f64 x (+.f64 y #s(literal -1 binary64))))) x)
(+ 1/3 (* x (- -3 (* y -3))))
(-.f64 #s(literal 1/3 binary64) (*.f64 #s(literal -3 binary64) (*.f64 x (+.f64 y #s(literal -1 binary64)))))
1/3
#s(literal 1/3 binary64)
(* x (- -3 (* y -3)))
(*.f64 (*.f64 x (+.f64 y #s(literal -1 binary64))) #s(literal 3 binary64))
(- -3 (* y -3))
(+.f64 #s(literal -3 binary64) (*.f64 #s(literal 3 binary64) y))
-3
#s(literal -3 binary64)
(* y -3)
(*.f64 y #s(literal -3 binary64))
y

localize244.0ms (2.1%)

Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
✓accuracy99.9%
(-.f64 #s(literal -3 binary64) (*.f64 y #s(literal -3 binary64)))
✓accuracy99.6%
(*.f64 x (-.f64 #s(literal -3 binary64) (*.f64 y #s(literal -3 binary64))))
✓accuracy99.5%
(*.f64 (sqrt.f64 x) (/.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 x (-.f64 #s(literal -3 binary64) (*.f64 y #s(literal -3 binary64))))) x))
✓accuracy89.1%
(/.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 x (-.f64 #s(literal -3 binary64) (*.f64 y #s(literal -3 binary64))))) x)
✓accuracy100.0%
(pow.f64 x #s(literal -1/2 binary64))
✓accuracy100.0%
(*.f64 x #s(literal -3 binary64))
✓accuracy99.9%
(+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -3 binary64)))
✓accuracy99.4%
(*.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -3 binary64))) (pow.f64 x #s(literal -1/2 binary64)))
✓accuracy100.0%
(sqrt.f64 x)
✓accuracy99.5%
(/.f64 (sqrt.f64 x) (/.f64 #s(literal 1/3 binary64) y))
✓accuracy99.4%
(/.f64 #s(literal 1/3 binary64) y)
✓accuracy100.0%
(sqrt.f64 x)
✓accuracy99.4%
(/.f64 #s(literal 1/3 binary64) (sqrt.f64 x))
✓accuracy99.8%
(/.f64 #s(literal 1 binary64) (+.f64 y (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64))))
✓accuracy99.6%
(*.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))))))
✓accuracy99.6%
(/.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) (+.f64 y (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)))))
✓accuracy99.4%
(/.f64 #s(literal 1/9 binary64) x)
Results
86.0ms169×0valid
47.0ms34×2valid
41.0ms41×1valid
18.0ms7×5exit
8.0ms5×3valid
Compiler

Compiled 162 to 30 computations (81.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 91.0ms
ival-div: 25.0ms (27.5% of total)
ival-mult: 15.0ms (16.5% of total)
...c/correct-round.rkt:119:19: 14.0ms (15.4% of total)
backward-pass: 14.0ms (15.4% of total)
ival-pow: 8.0ms (8.8% of total)
ival-add: 8.0ms (8.8% of total)
ival-sqrt: 3.0ms (3.3% of total)
ival-sub: 2.0ms (2.2% of total)
const: 1.0ms (1.1% of total)

series18.0ms (0.2%)

Counts
17 → 300
Calls
Call 1
Inputs
#<alt (/ (sqrt x) (/ 1 (+ y (+ (/ 1/9 x) -1))))>
#<alt (* 3 (/ (sqrt x) (/ 1 (+ y (+ (/ 1/9 x) -1)))))>
#<alt (sqrt x)>
#<alt (/ 1 (+ y (+ (/ 1/9 x) -1)))>
#<alt (/ 1/3 (sqrt x))>
#<alt (/ (sqrt x) (/ 1/3 y))>
#<alt (/ 1/3 y)>
#<alt (* (+ 1/3 (* x -3)) (pow x -1/2))>
#<alt (+ 1/3 (* x -3))>
#<alt (* x -3)>
#<alt (pow x -1/2)>
#<alt (* (sqrt x) (/ (+ 1/3 (* x (- -3 (* y -3)))) x))>
#<alt (/ (+ 1/3 (* x (- -3 (* y -3)))) x)>
#<alt (+ 1/3 (* x (- -3 (* y -3))))>
#<alt (/ 1/9 x)>
#<alt (* x (- -3 (* y -3)))>
#<alt (- -3 (* y -3))>
Outputs
#<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 (* 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 (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (/ 1 (- (* 1/9 (/ 1 x)) 1))>
#<alt (+ (* -1 (/ y (pow (- (* 1/9 (/ 1 x)) 1) 2))) (/ 1 (- (* 1/9 (/ 1 x)) 1)))>
#<alt (+ (* y (- (/ y (pow (- (* 1/9 (/ 1 x)) 1) 3)) (/ 1 (pow (- (* 1/9 (/ 1 x)) 1) 2)))) (/ 1 (- (* 1/9 (/ 1 x)) 1)))>
#<alt (+ (* y (- (* y (+ (* -1 (/ y (pow (- (* 1/9 (/ 1 x)) 1) 4))) (/ 1 (pow (- (* 1/9 (/ 1 x)) 1) 3)))) (/ 1 (pow (- (* 1/9 (/ 1 x)) 1) 2)))) (/ 1 (- (* 1/9 (/ 1 x)) 1)))>
#<alt (/ 1 y)>
#<alt (/ (- (+ 1 (/ 1 y)) (/ 1/9 (* x y))) y)>
#<alt (/ (- (+ 1 (+ (* -1 (/ (* (- 1 (* 1/9 (/ 1 x))) (- (* 1/9 (/ 1 x)) 1)) (pow y 2))) (/ 1 y))) (/ 1/9 (* x y))) y)>
#<alt (/ (- (+ 1 (+ (/ 1 y) (/ (* (- 1 (* 1/9 (/ 1 x))) (pow (- (* 1/9 (/ 1 x)) 1) 2)) (pow y 3)))) (+ (/ 1/9 (* x y)) (/ (* (- 1 (* 1/9 (/ 1 x))) (- (* 1/9 (/ 1 x)) 1)) (pow y 2)))) y)>
#<alt (/ 1 y)>
#<alt (* -1 (/ (- (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) 1) y))>
#<alt (* -1 (/ (- (* -1 (/ (- (+ 1 (* -1 (/ (* (- 1 (* 1/9 (/ 1 x))) (- (* 1/9 (/ 1 x)) 1)) y))) (* 1/9 (/ 1 x))) y)) 1) y))>
#<alt (* -1 (/ (- (* -1 (/ (- (+ 1 (* -1 (/ (- (* -1 (/ (* (- 1 (* 1/9 (/ 1 x))) (pow (- (* 1/9 (/ 1 x)) 1) 2)) y)) (* -1 (* (- 1 (* 1/9 (/ 1 x))) (- (* 1/9 (/ 1 x)) 1)))) y))) (* 1/9 (/ 1 x))) y)) 1) y))>
#<alt (* 9 x)>
#<alt (* x (+ 9 (* -81 (* x (- y 1)))))>
#<alt (* x (+ 9 (* x (- (* 729 (* x (pow (- y 1) 2))) (* 81 (- y 1))))))>
#<alt (* x (+ 9 (* x (- (* x (- (* -6561 (* x (pow (- y 1) 3))) (* -729 (pow (- y 1) 2)))) (* 81 (- y 1))))))>
#<alt (/ 1 (- y 1))>
#<alt (- (/ 1 (- y 1)) (* 1/9 (/ 1 (* x (pow (- y 1) 2)))))>
#<alt (- (+ (/ 1/81 (* (pow x 2) (pow (- y 1) 3))) (/ 1 (- y 1))) (/ 1/9 (* x (pow (- y 1) 2))))>
#<alt (- (+ (* 1/81 (/ 1 (* (pow x 2) (pow (- y 1) 3)))) (/ 1 (- y 1))) (+ (/ 1/9 (* x (pow (- y 1) 2))) (* 1/729 (/ 1 (* (pow x 3) (pow (- y 1) 4))))))>
#<alt (/ 1 (- y 1))>
#<alt (- (/ 1 (- y 1)) (* 1/9 (/ 1 (* x (pow (- y 1) 2)))))>
#<alt (+ (* -1 (/ (- (* 1/9 (/ 1 (pow (- y 1) 2))) (* 1/81 (/ 1 (* x (pow (- y 1) 3))))) x)) (/ 1 (- y 1)))>
#<alt (+ (* -1 (/ (+ (* -1 (/ (- (* 1/81 (/ 1 (pow (- y 1) 3))) (* 1/729 (/ 1 (* x (pow (- y 1) 4))))) x)) (* 1/9 (/ 1 (pow (- y 1) 2)))) x)) (/ 1 (- y 1)))>
#<alt (* 1/3 (sqrt (/ 1 x)))>
#<alt (* 1/3 (sqrt (/ 1 x)))>
#<alt (* 1/3 (sqrt (/ 1 x)))>
#<alt (* 1/3 (sqrt (/ 1 x)))>
#<alt (* 1/3 (sqrt (/ 1 x)))>
#<alt (* 1/3 (sqrt (/ 1 x)))>
#<alt (* 1/3 (sqrt (/ 1 x)))>
#<alt (* 1/3 (sqrt (/ 1 x)))>
#<alt (* 1/3 (sqrt (/ 1 x)))>
#<alt (* 1/3 (sqrt (/ 1 x)))>
#<alt (* 1/3 (sqrt (/ 1 x)))>
#<alt (* 1/3 (sqrt (/ 1 x)))>
#<alt (* 3 (* (sqrt x) y))>
#<alt (* 3 (* (sqrt x) y))>
#<alt (* 3 (* (sqrt x) y))>
#<alt (* 3 (* (sqrt x) y))>
#<alt (* 3 (* (sqrt x) y))>
#<alt (* 3 (* (sqrt x) y))>
#<alt (* 3 (* (sqrt x) y))>
#<alt (* 3 (* (sqrt x) y))>
#<alt (* -3 (* (sqrt x) (* y (pow (sqrt -1) 2))))>
#<alt (* -3 (* (sqrt x) (* y (pow (sqrt -1) 2))))>
#<alt (* -3 (* (sqrt x) (* y (pow (sqrt -1) 2))))>
#<alt (* -3 (* (sqrt x) (* y (pow (sqrt -1) 2))))>
#<alt (* 3 (* (sqrt x) y))>
#<alt (* 3 (* (sqrt x) y))>
#<alt (* 3 (* (sqrt x) y))>
#<alt (* 3 (* (sqrt x) y))>
#<alt (* 3 (* (sqrt x) y))>
#<alt (* 3 (* (sqrt x) y))>
#<alt (* 3 (* (sqrt x) y))>
#<alt (* 3 (* (sqrt x) y))>
#<alt (* 3 (* (sqrt x) y))>
#<alt (* 3 (* (sqrt x) y))>
#<alt (* 3 (* (sqrt x) y))>
#<alt (* 3 (* (sqrt x) y))>
#<alt (/ 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 (* 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 1/3>
#<alt (+ 1/3 (* -3 x))>
#<alt (+ 1/3 (* -3 x))>
#<alt (+ 1/3 (* -3 x))>
#<alt (* -3 x)>
#<alt (* x (- (* 1/3 (/ 1 x)) 3))>
#<alt (* x (- (* 1/3 (/ 1 x)) 3))>
#<alt (* x (- (* 1/3 (/ 1 x)) 3))>
#<alt (* -3 x)>
#<alt (* -1 (* x (- 3 (* 1/3 (/ 1 x)))))>
#<alt (* -1 (* x (- 3 (* 1/3 (/ 1 x)))))>
#<alt (* -1 (* x (- 3 (* 1/3 (/ 1 x)))))>
#<alt (* -3 x)>
#<alt (* -3 x)>
#<alt (* -3 x)>
#<alt (* -3 x)>
#<alt (* -3 x)>
#<alt (* -3 x)>
#<alt (* -3 x)>
#<alt (* -3 x)>
#<alt (* -3 x)>
#<alt (* -3 x)>
#<alt (* -3 x)>
#<alt (* -3 x)>
#<alt (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 (* (sqrt (pow x 3)) (+ 3 (* -3 y)))) (* 1/3 (sqrt x))) x)>
#<alt (/ (+ (* -1 (* (sqrt (pow x 3)) (+ 3 (* -3 y)))) (* 1/3 (sqrt x))) x)>
#<alt (/ (+ (* -1 (* (sqrt (pow x 3)) (+ 3 (* -3 y)))) (* 1/3 (sqrt x))) x)>
#<alt (* -1 (* (sqrt x) (+ 3 (* -3 y))))>
#<alt (* x (+ (* -1 (* (sqrt (/ 1 x)) (+ 3 (* -3 y)))) (* 1/3 (sqrt (/ 1 (pow x 3))))))>
#<alt (* x (+ (* -1 (* (sqrt (/ 1 x)) (+ 3 (* -3 y)))) (* 1/3 (sqrt (/ 1 (pow x 3))))))>
#<alt (* x (+ (* -1 (* (sqrt (/ 1 x)) (+ 3 (* -3 y)))) (* 1/3 (sqrt (/ 1 (pow x 3))))))>
#<alt (* (sqrt x) (* (pow (sqrt -1) 2) (+ 3 (* -3 y))))>
#<alt (* -1 (* x (+ (* -1 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (+ 3 (* -3 y))))) (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))))))>
#<alt (* -1 (* x (+ (* -1 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (+ 3 (* -3 y))))) (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))))))>
#<alt (* -1 (* x (+ (* -1 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (+ 3 (* -3 y))))) (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))))))>
#<alt (* (sqrt (/ 1 x)) (+ 1/3 (* -3 x)))>
#<alt (+ (* 3 (* (sqrt x) y)) (* (sqrt (/ 1 x)) (+ 1/3 (* -3 x))))>
#<alt (+ (* 3 (* (sqrt x) y)) (* (sqrt (/ 1 x)) (+ 1/3 (* -3 x))))>
#<alt (+ (* 3 (* (sqrt x) y)) (* (sqrt (/ 1 x)) (+ 1/3 (* -3 x))))>
#<alt (* 3 (* (sqrt x) y))>
#<alt (* y (+ (* 3 (sqrt x)) (* (sqrt (/ 1 x)) (/ (+ 1/3 (* -3 x)) y))))>
#<alt (* y (+ (* 3 (sqrt x)) (* (sqrt (/ 1 x)) (/ (+ 1/3 (* -3 x)) y))))>
#<alt (* y (+ (* 3 (sqrt x)) (* (sqrt (/ 1 x)) (/ (+ 1/3 (* -3 x)) y))))>
#<alt (* 3 (* (sqrt x) y))>
#<alt (* -1 (* y (+ (* -3 (sqrt x)) (* -1 (* (sqrt (/ 1 x)) (/ (+ 1/3 (* -3 x)) y))))))>
#<alt (* -1 (* y (+ (* -3 (sqrt x)) (* -1 (* (sqrt (/ 1 x)) (/ (+ 1/3 (* -3 x)) y))))))>
#<alt (* -1 (* y (+ (* -3 (sqrt x)) (* -1 (* (sqrt (/ 1 x)) (/ (+ 1/3 (* -3 x)) y))))))>
#<alt (/ 1/3 x)>
#<alt (/ (+ 1/3 (* -1 (* x (+ 3 (* -3 y))))) x)>
#<alt (/ (+ 1/3 (* -1 (* x (+ 3 (* -3 y))))) x)>
#<alt (/ (+ 1/3 (* -1 (* x (+ 3 (* -3 y))))) x)>
#<alt (* -1 (+ 3 (* -3 y)))>
#<alt (+ (* -1 (+ 3 (* -3 y))) (* 1/3 (/ 1 x)))>
#<alt (+ (* -1 (+ 3 (* -3 y))) (* 1/3 (/ 1 x)))>
#<alt (+ (* -1 (+ 3 (* -3 y))) (* 1/3 (/ 1 x)))>
#<alt (* -1 (+ 3 (* -3 y)))>
#<alt (+ (* -1 (+ 3 (* -3 y))) (* 1/3 (/ 1 x)))>
#<alt (+ (* -1 (+ 3 (* -3 y))) (* 1/3 (/ 1 x)))>
#<alt (+ (* -1 (+ 3 (* -3 y))) (* 1/3 (/ 1 x)))>
#<alt (/ (+ 1/3 (* -3 x)) x)>
#<alt (+ -3 (+ (* 3 y) (* 1/3 (/ 1 x))))>
#<alt (+ -3 (+ (* 3 y) (* 1/3 (/ 1 x))))>
#<alt (+ -3 (+ (* 3 y) (* 1/3 (/ 1 x))))>
#<alt (* 3 y)>
#<alt (* y (- (+ 3 (/ 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>
#<alt (+ 1/3 (* -1 (* x (+ 3 (* -3 y)))))>
#<alt (+ 1/3 (* -1 (* x (+ 3 (* -3 y)))))>
#<alt (+ 1/3 (* -1 (* x (+ 3 (* -3 y)))))>
#<alt (* -1 (* x (+ 3 (* -3 y))))>
#<alt (* x (+ (* -1 (+ 3 (* -3 y))) (* 1/3 (/ 1 x))))>
#<alt (* x (+ (* -1 (+ 3 (* -3 y))) (* 1/3 (/ 1 x))))>
#<alt (* x (+ (* -1 (+ 3 (* -3 y))) (* 1/3 (/ 1 x))))>
#<alt (* -1 (* x (+ 3 (* -3 y))))>
#<alt (* -1 (* x (- (+ 3 (* -3 y)) (* 1/3 (/ 1 x)))))>
#<alt (* -1 (* x (- (+ 3 (* -3 y)) (* 1/3 (/ 1 x)))))>
#<alt (* -1 (* x (- (+ 3 (* -3 y)) (* 1/3 (/ 1 x)))))>
#<alt (+ 1/3 (* -3 x))>
#<alt (+ 1/3 (+ (* -3 x) (* 3 (* x y))))>
#<alt (+ 1/3 (+ (* -3 x) (* 3 (* x y))))>
#<alt (+ 1/3 (+ (* -3 x) (* 3 (* x y))))>
#<alt (* 3 (* x y))>
#<alt (* y (+ (* -3 (/ x y)) (+ (* 3 x) (* 1/3 (/ 1 y)))))>
#<alt (* y (+ (* -3 (/ x y)) (+ (* 3 x) (* 1/3 (/ 1 y)))))>
#<alt (* y (+ (* -3 (/ x y)) (+ (* 3 x) (* 1/3 (/ 1 y)))))>
#<alt (* 3 (* x y))>
#<alt (* -1 (* y (+ (* -3 x) (* -1 (/ (+ 1/3 (* -3 x)) y)))))>
#<alt (* -1 (* y (+ (* -3 x) (* -1 (/ (+ 1/3 (* -3 x)) y)))))>
#<alt (* -1 (* y (+ (* -3 x) (* -1 (/ (+ 1/3 (* -3 x)) y)))))>
#<alt (/ 1/9 x)>
#<alt (/ 1/9 x)>
#<alt (/ 1/9 x)>
#<alt (/ 1/9 x)>
#<alt (/ 1/9 x)>
#<alt (/ 1/9 x)>
#<alt (/ 1/9 x)>
#<alt (/ 1/9 x)>
#<alt (/ 1/9 x)>
#<alt (/ 1/9 x)>
#<alt (/ 1/9 x)>
#<alt (/ 1/9 x)>
#<alt (* -1 (* x (+ 3 (* -3 y))))>
#<alt (* -1 (* x (+ 3 (* -3 y))))>
#<alt (* -1 (* x (+ 3 (* -3 y))))>
#<alt (* -1 (* x (+ 3 (* -3 y))))>
#<alt (* -1 (* x (+ 3 (* -3 y))))>
#<alt (* -1 (* x (+ 3 (* -3 y))))>
#<alt (* -1 (* x (+ 3 (* -3 y))))>
#<alt (* -1 (* x (+ 3 (* -3 y))))>
#<alt (* -1 (* x (+ 3 (* -3 y))))>
#<alt (* -1 (* x (+ 3 (* -3 y))))>
#<alt (* -1 (* x (+ 3 (* -3 y))))>
#<alt (* -1 (* x (+ 3 (* -3 y))))>
#<alt (* -3 x)>
#<alt (+ (* -3 x) (* 3 (* x y)))>
#<alt (+ (* -3 x) (* 3 (* x y)))>
#<alt (+ (* -3 x) (* 3 (* x y)))>
#<alt (* 3 (* x y))>
#<alt (* y (+ (* -3 (/ x y)) (* 3 x)))>
#<alt (* y (+ (* -3 (/ x y)) (* 3 x)))>
#<alt (* y (+ (* -3 (/ x y)) (* 3 x)))>
#<alt (* 3 (* x y))>
#<alt (* -1 (* y (+ (* -3 x) (* 3 (/ x y)))))>
#<alt (* -1 (* y (+ (* -3 x) (* 3 (/ x y)))))>
#<alt (* -1 (* y (+ (* -3 x) (* 3 (/ x y)))))>
#<alt -3>
#<alt (- (* 3 y) 3)>
#<alt (- (* 3 y) 3)>
#<alt (- (* 3 y) 3)>
#<alt (* 3 y)>
#<alt (* y (- 3 (* 3 (/ 1 y))))>
#<alt (* y (- 3 (* 3 (/ 1 y))))>
#<alt (* y (- 3 (* 3 (/ 1 y))))>
#<alt (* 3 y)>
#<alt (* -1 (* y (- (* 3 (/ 1 y)) 3)))>
#<alt (* -1 (* y (- (* 3 (/ 1 y)) 3)))>
#<alt (* -1 (* y (- (* 3 (/ 1 y)) 3)))>
Calls

75 calls:

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

rewrite302.0ms (2.5%)

Algorithm
1×batch-egg-rewrite
Rules
4002×/-lowering-/.f32
4002×/-lowering-/.f64
3502×*-lowering-*.f32
3502×*-lowering-*.f64
1788×+-lowering-+.f64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
029116
1172104
2133297
0828697
Stop Event
1×iter limit
1×node limit
Counts
17 → 545
Calls
Call 1
Inputs
(/ (sqrt x) (/ 1 (+ y (+ (/ 1/9 x) -1))))
(* 3 (/ (sqrt x) (/ 1 (+ y (+ (/ 1/9 x) -1)))))
(sqrt x)
(/ 1 (+ y (+ (/ 1/9 x) -1)))
(/ 1/3 (sqrt x))
(/ (sqrt x) (/ 1/3 y))
(/ 1/3 y)
(* (+ 1/3 (* x -3)) (pow x -1/2))
(+ 1/3 (* x -3))
(* x -3)
(pow x -1/2)
(* (sqrt x) (/ (+ 1/3 (* x (- -3 (* y -3)))) x))
(/ (+ 1/3 (* x (- -3 (* y -3)))) x)
(+ 1/3 (* x (- -3 (* y -3))))
(/ 1/9 x)
(* x (- -3 (* y -3)))
(- -3 (* y -3))
Outputs
(+.f64 (*.f64 (sqrt.f64 x) y) (*.f64 (sqrt.f64 x) (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64))))
(+.f64 (*.f64 (sqrt.f64 x) (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64))) (*.f64 (sqrt.f64 x) y))
(+.f64 (*.f64 (sqrt.f64 x) (+.f64 y (/.f64 #s(literal 1/9 binary64) x))) (/.f64 (sqrt.f64 x) #s(literal -1 binary64)))
(+.f64 (/.f64 y (pow.f64 x #s(literal -1/2 binary64))) (/.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)) (pow.f64 x #s(literal -1/2 binary64))))
(+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)) (pow.f64 x #s(literal -1/2 binary64))) (/.f64 y (pow.f64 x #s(literal -1/2 binary64))))
(+.f64 (/.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) (pow.f64 x #s(literal -1/2 binary64))) (-.f64 #s(literal 0 binary64) (sqrt.f64 x)))
(exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 y (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)))) (sqrt.f64 x))) #s(literal -1 binary64)))
(exp.f64 (-.f64 (*.f64 (log.f64 x) #s(literal 1/2 binary64)) (*.f64 (log.f64 (+.f64 y (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)))) #s(literal -1 binary64))))
(-.f64 #s(literal 0 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 (/.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) (pow.f64 x #s(literal -1/2 binary64))) (sqrt.f64 x))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) (+.f64 y (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64))))) (/.f64 (sqrt.f64 x) (/.f64 #s(literal -1 binary64) (+.f64 y (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64))))))
(fma.f64 (sqrt.f64 x) y (*.f64 (sqrt.f64 x) (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64))))
(fma.f64 (sqrt.f64 x) (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)) (*.f64 (sqrt.f64 x) y))
(fma.f64 (sqrt.f64 x) (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) (/.f64 (sqrt.f64 x) #s(literal -1 binary64)))
(fma.f64 y (sqrt.f64 x) (/.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)) (pow.f64 x #s(literal -1/2 binary64))))
(fma.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)) (sqrt.f64 x) (/.f64 y (pow.f64 x #s(literal -1/2 binary64))))
(fma.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) (sqrt.f64 x) (-.f64 #s(literal 0 binary64) (sqrt.f64 x)))
(neg.f64 (/.f64 (sqrt.f64 x) (/.f64 #s(literal -1 binary64) (+.f64 y (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 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 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 y (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)))) (sqrt.f64 x)))
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(/.f64 (+.f64 (*.f64 #s(literal -27 binary64) (*.f64 x (*.f64 x x))) (pow.f64 (/.f64 x (/.f64 #s(literal 1/3 binary64) y)) #s(literal 3 binary64))) (+.f64 (*.f64 #s(literal 9 binary64) (*.f64 x x)) (-.f64 (*.f64 (/.f64 x (/.f64 #s(literal 1/3 binary64) y)) (/.f64 x (/.f64 #s(literal 1/3 binary64) y))) (*.f64 (*.f64 x #s(literal -3 binary64)) (/.f64 x (/.f64 #s(literal 1/3 binary64) y))))))
(/.f64 (+.f64 (*.f64 #s(literal -27 binary64) (*.f64 x (*.f64 x x))) (pow.f64 (*.f64 (/.f64 y #s(literal 1/3 binary64)) x) #s(literal 3 binary64))) (+.f64 (*.f64 #s(literal 9 binary64) (*.f64 x x)) (-.f64 (*.f64 (*.f64 (/.f64 y #s(literal 1/3 binary64)) x) (*.f64 (/.f64 y #s(literal 1/3 binary64)) x)) (*.f64 (*.f64 x #s(literal -3 binary64)) (*.f64 (/.f64 y #s(literal 1/3 binary64)) x)))))
(/.f64 (-.f64 (*.f64 #s(literal 9 binary64) (*.f64 x x)) (*.f64 (/.f64 x (/.f64 #s(literal 1/3 binary64) y)) (/.f64 x (/.f64 #s(literal 1/3 binary64) y)))) (-.f64 (*.f64 x #s(literal -3 binary64)) (/.f64 x (/.f64 #s(literal 1/3 binary64) y))))
(/.f64 (-.f64 (*.f64 #s(literal 9 binary64) (*.f64 x x)) (*.f64 (*.f64 (/.f64 y #s(literal 1/3 binary64)) x) (*.f64 (/.f64 y #s(literal 1/3 binary64)) x))) (-.f64 (*.f64 x #s(literal -3 binary64)) (*.f64 (/.f64 y #s(literal 1/3 binary64)) x)))
(*.f64 x (+.f64 #s(literal -3 binary64) (/.f64 y #s(literal 1/3 binary64))))
(*.f64 (+.f64 #s(literal -3 binary64) (/.f64 y #s(literal 1/3 binary64))) x)
(*.f64 (*.f64 x (+.f64 #s(literal -27 binary64) (/.f64 (*.f64 y (*.f64 y y)) #s(literal 1/27 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 9 binary64) (*.f64 (*.f64 y #s(literal -3 binary64)) (+.f64 #s(literal -3 binary64) (*.f64 y #s(literal -3 binary64)))))))
(*.f64 (*.f64 x (-.f64 #s(literal 9 binary64) (*.f64 (*.f64 y y) #s(literal 9 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -3 binary64) (*.f64 y #s(literal -3 binary64)))))
(*.f64 (*.f64 (+.f64 #s(literal -27 binary64) (/.f64 (*.f64 y (*.f64 y y)) #s(literal 1/27 binary64))) x) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 9 binary64) (*.f64 (*.f64 y #s(literal -3 binary64)) (+.f64 #s(literal -3 binary64) (*.f64 y #s(literal -3 binary64)))))))
(*.f64 (*.f64 (-.f64 #s(literal 9 binary64) (*.f64 (*.f64 y y) #s(literal 9 binary64))) x) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -3 binary64) (*.f64 y #s(literal -3 binary64)))))
(*.f64 (/.f64 x (+.f64 y #s(literal 1 binary64))) (/.f64 (-.f64 #s(literal 9 binary64) (*.f64 (*.f64 y y) #s(literal 9 binary64))) #s(literal -3 binary64)))
(*.f64 (/.f64 (-.f64 #s(literal 9 binary64) (*.f64 (*.f64 y y) #s(literal 9 binary64))) (+.f64 y #s(literal 1 binary64))) (/.f64 x #s(literal -3 binary64)))
(+.f64 #s(literal -3 binary64) (/.f64 y #s(literal 1/3 binary64)))
(+.f64 (/.f64 y #s(literal 1/3 binary64)) #s(literal -3 binary64))
(+.f64 (/.f64 #s(literal -27 binary64) (+.f64 #s(literal 9 binary64) (*.f64 (*.f64 y #s(literal -3 binary64)) (+.f64 #s(literal -3 binary64) (*.f64 y #s(literal -3 binary64)))))) (neg.f64 (/.f64 (*.f64 (*.f64 y (*.f64 y y)) #s(literal -27 binary64)) (+.f64 #s(literal 9 binary64) (*.f64 (*.f64 y #s(literal -3 binary64)) (+.f64 #s(literal -3 binary64) (*.f64 y #s(literal -3 binary64))))))))
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(-.f64 #s(literal -3 binary64) (*.f64 y #s(literal -3 binary64)))
(-.f64 (/.f64 #s(literal -27 binary64) (+.f64 #s(literal 9 binary64) (*.f64 (*.f64 y #s(literal -3 binary64)) (+.f64 #s(literal -3 binary64) (*.f64 y #s(literal -3 binary64)))))) (/.f64 (*.f64 (*.f64 y (*.f64 y y)) #s(literal -27 binary64)) (+.f64 #s(literal 9 binary64) (*.f64 (*.f64 y #s(literal -3 binary64)) (+.f64 #s(literal -3 binary64) (*.f64 y #s(literal -3 binary64)))))))
(-.f64 (/.f64 #s(literal 9 binary64) (+.f64 #s(literal -3 binary64) (*.f64 y #s(literal -3 binary64)))) (*.f64 (/.f64 (*.f64 y y) (+.f64 y #s(literal 1 binary64))) #s(literal -3 binary64)))
(fma.f64 #s(literal 1 binary64) (/.f64 y #s(literal 1/3 binary64)) #s(literal -3 binary64))
(fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64))
(fma.f64 #s(literal -1 binary64) (*.f64 y #s(literal -3 binary64)) #s(literal -3 binary64))
(fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))
(fma.f64 #s(literal -3 binary64) (-.f64 #s(literal 0 binary64) y) #s(literal -3 binary64))
(fma.f64 (-.f64 #s(literal 0 binary64) y) #s(literal -3 binary64) #s(literal -3 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -3 binary64) (/.f64 y #s(literal 1/3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -3 binary64) (/.f64 y #s(literal 1/3 binary64)))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 9 binary64) (-.f64 (*.f64 (*.f64 y y) #s(literal 9 binary64)) (/.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) y)))) (+.f64 #s(literal -27 binary64) (/.f64 (*.f64 y (*.f64 y y)) #s(literal 1/27 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -3 binary64) (/.f64 y #s(literal 1/3 binary64))))))
(/.f64 (+.f64 #s(literal -27 binary64) (/.f64 (*.f64 y (*.f64 y y)) #s(literal 1/27 binary64))) (+.f64 #s(literal 9 binary64) (*.f64 (*.f64 y #s(literal -3 binary64)) (+.f64 #s(literal -3 binary64) (*.f64 y #s(literal -3 binary64))))))
(/.f64 (+.f64 #s(literal -27 binary64) (/.f64 (*.f64 y (*.f64 y y)) #s(literal 1/27 binary64))) (+.f64 #s(literal 9 binary64) (-.f64 (*.f64 (*.f64 y y) #s(literal 9 binary64)) (/.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) y)))))
(/.f64 (-.f64 #s(literal 9 binary64) (*.f64 (*.f64 y y) #s(literal 9 binary64))) (+.f64 #s(literal -3 binary64) (*.f64 y #s(literal -3 binary64))))
(/.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal -27 binary64) (/.f64 (*.f64 y (*.f64 y y)) #s(literal 1/27 binary64)))) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 9 binary64) (*.f64 (*.f64 y #s(literal -3 binary64)) (+.f64 #s(literal -3 binary64) (*.f64 y #s(literal -3 binary64)))))))
(/.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal -27 binary64) (/.f64 (*.f64 y (*.f64 y y)) #s(literal 1/27 binary64)))) (neg.f64 (+.f64 #s(literal 9 binary64) (-.f64 (*.f64 (*.f64 y y) #s(literal 9 binary64)) (/.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) y))))))
(/.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 9 binary64) (*.f64 (*.f64 y y) #s(literal 9 binary64)))) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal -3 binary64) (*.f64 y #s(literal -3 binary64)))))
(/.f64 (-.f64 (*.f64 #s(literal -27 binary64) (+.f64 #s(literal 9 binary64) (*.f64 (*.f64 y #s(literal -3 binary64)) (+.f64 #s(literal -3 binary64) (*.f64 y #s(literal -3 binary64)))))) (*.f64 (+.f64 #s(literal 9 binary64) (*.f64 (*.f64 y #s(literal -3 binary64)) (+.f64 #s(literal -3 binary64) (*.f64 y #s(literal -3 binary64))))) (*.f64 (*.f64 y (*.f64 y y)) #s(literal -27 binary64)))) (*.f64 (+.f64 #s(literal 9 binary64) (*.f64 (*.f64 y #s(literal -3 binary64)) (+.f64 #s(literal -3 binary64) (*.f64 y #s(literal -3 binary64))))) (+.f64 #s(literal 9 binary64) (*.f64 (*.f64 y #s(literal -3 binary64)) (+.f64 #s(literal -3 binary64) (*.f64 y #s(literal -3 binary64)))))))
(/.f64 (-.f64 (*.f64 #s(literal 9 binary64) (+.f64 #s(literal -3 binary64) (*.f64 y #s(literal -3 binary64)))) (*.f64 (+.f64 #s(literal -3 binary64) (*.f64 y #s(literal -3 binary64))) (*.f64 (*.f64 y y) #s(literal 9 binary64)))) (*.f64 (+.f64 #s(literal -3 binary64) (*.f64 y #s(literal -3 binary64))) (+.f64 #s(literal -3 binary64) (*.f64 y #s(literal -3 binary64)))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal -27 binary64) (/.f64 (*.f64 y (*.f64 y y)) #s(literal 1/27 binary64))))) (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 9 binary64) (*.f64 (*.f64 y #s(literal -3 binary64)) (+.f64 #s(literal -3 binary64) (*.f64 y #s(literal -3 binary64))))))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 9 binary64) (*.f64 (*.f64 y y) #s(literal 9 binary64))))) (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal -3 binary64) (*.f64 y #s(literal -3 binary64))))))
(/.f64 (+.f64 (/.f64 (*.f64 y (*.f64 y y)) #s(literal 1/27 binary64)) #s(literal -27 binary64)) (+.f64 (*.f64 (*.f64 y y) #s(literal 9 binary64)) (-.f64 #s(literal 9 binary64) (*.f64 (/.f64 y #s(literal 1/3 binary64)) #s(literal -3 binary64)))))
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal -27 binary64) (+.f64 #s(literal 9 binary64) (*.f64 (*.f64 y #s(literal -3 binary64)) (+.f64 #s(literal -3 binary64) (*.f64 y #s(literal -3 binary64)))))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 (*.f64 y (*.f64 y y)) #s(literal -27 binary64)) (+.f64 #s(literal 9 binary64) (*.f64 (*.f64 y #s(literal -3 binary64)) (+.f64 #s(literal -3 binary64) (*.f64 y #s(literal -3 binary64)))))) #s(literal 3 binary64))) (+.f64 (*.f64 (/.f64 #s(literal -27 binary64) (+.f64 #s(literal 9 binary64) (*.f64 (*.f64 y #s(literal -3 binary64)) (+.f64 #s(literal -3 binary64) (*.f64 y #s(literal -3 binary64)))))) (/.f64 #s(literal -27 binary64) (+.f64 #s(literal 9 binary64) (*.f64 (*.f64 y #s(literal -3 binary64)) (+.f64 #s(literal -3 binary64) (*.f64 y #s(literal -3 binary64))))))) (+.f64 (*.f64 (/.f64 (*.f64 (*.f64 y (*.f64 y y)) #s(literal -27 binary64)) (+.f64 #s(literal 9 binary64) (*.f64 (*.f64 y #s(literal -3 binary64)) (+.f64 #s(literal -3 binary64) (*.f64 y #s(literal -3 binary64)))))) (/.f64 (*.f64 (*.f64 y (*.f64 y y)) #s(literal -27 binary64)) (+.f64 #s(literal 9 binary64) (*.f64 (*.f64 y #s(literal -3 binary64)) (+.f64 #s(literal -3 binary64) (*.f64 y #s(literal -3 binary64))))))) (*.f64 (/.f64 #s(literal -27 binary64) (+.f64 #s(literal 9 binary64) (*.f64 (*.f64 y #s(literal -3 binary64)) (+.f64 #s(literal -3 binary64) (*.f64 y #s(literal -3 binary64)))))) (/.f64 (*.f64 (*.f64 y (*.f64 y y)) #s(literal -27 binary64)) (+.f64 #s(literal 9 binary64) (*.f64 (*.f64 y #s(literal -3 binary64)) (+.f64 #s(literal -3 binary64) (*.f64 y #s(literal -3 binary64))))))))))
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 9 binary64) (+.f64 #s(literal -3 binary64) (*.f64 y #s(literal -3 binary64)))) #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 (*.f64 y y) (+.f64 y #s(literal 1 binary64))) #s(literal -3 binary64)) #s(literal 3 binary64))) (+.f64 (*.f64 (/.f64 #s(literal 9 binary64) (+.f64 #s(literal -3 binary64) (*.f64 y #s(literal -3 binary64)))) (/.f64 #s(literal 9 binary64) (+.f64 #s(literal -3 binary64) (*.f64 y #s(literal -3 binary64))))) (+.f64 (*.f64 (*.f64 (/.f64 (*.f64 y y) (+.f64 y #s(literal 1 binary64))) #s(literal -3 binary64)) (*.f64 (/.f64 (*.f64 y y) (+.f64 y #s(literal 1 binary64))) #s(literal -3 binary64))) (*.f64 (/.f64 #s(literal 9 binary64) (+.f64 #s(literal -3 binary64) (*.f64 y #s(literal -3 binary64)))) (*.f64 (/.f64 (*.f64 y y) (+.f64 y #s(literal 1 binary64))) #s(literal -3 binary64))))))
(/.f64 (-.f64 (*.f64 (*.f64 y y) #s(literal 9 binary64)) #s(literal 9 binary64)) (-.f64 (/.f64 y #s(literal 1/3 binary64)) #s(literal -3 binary64)))
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal -27 binary64) (+.f64 #s(literal 9 binary64) (*.f64 (*.f64 y #s(literal -3 binary64)) (+.f64 #s(literal -3 binary64) (*.f64 y #s(literal -3 binary64)))))) (/.f64 #s(literal -27 binary64) (+.f64 #s(literal 9 binary64) (*.f64 (*.f64 y #s(literal -3 binary64)) (+.f64 #s(literal -3 binary64) (*.f64 y #s(literal -3 binary64))))))) (*.f64 (/.f64 (*.f64 (*.f64 y (*.f64 y y)) #s(literal -27 binary64)) (+.f64 #s(literal 9 binary64) (*.f64 (*.f64 y #s(literal -3 binary64)) (+.f64 #s(literal -3 binary64) (*.f64 y #s(literal -3 binary64)))))) (/.f64 (*.f64 (*.f64 y (*.f64 y y)) #s(literal -27 binary64)) (+.f64 #s(literal 9 binary64) (*.f64 (*.f64 y #s(literal -3 binary64)) (+.f64 #s(literal -3 binary64) (*.f64 y #s(literal -3 binary64)))))))) (+.f64 (/.f64 #s(literal -27 binary64) (+.f64 #s(literal 9 binary64) (*.f64 (*.f64 y #s(literal -3 binary64)) (+.f64 #s(literal -3 binary64) (*.f64 y #s(literal -3 binary64)))))) (/.f64 (*.f64 (*.f64 y (*.f64 y y)) #s(literal -27 binary64)) (+.f64 #s(literal 9 binary64) (*.f64 (*.f64 y #s(literal -3 binary64)) (+.f64 #s(literal -3 binary64) (*.f64 y #s(literal -3 binary64))))))))
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal 9 binary64) (+.f64 #s(literal -3 binary64) (*.f64 y #s(literal -3 binary64)))) (/.f64 #s(literal 9 binary64) (+.f64 #s(literal -3 binary64) (*.f64 y #s(literal -3 binary64))))) (*.f64 (*.f64 (/.f64 (*.f64 y y) (+.f64 y #s(literal 1 binary64))) #s(literal -3 binary64)) (*.f64 (/.f64 (*.f64 y y) (+.f64 y #s(literal 1 binary64))) #s(literal -3 binary64)))) (+.f64 (/.f64 #s(literal 9 binary64) (+.f64 #s(literal -3 binary64) (*.f64 y #s(literal -3 binary64)))) (*.f64 (/.f64 (*.f64 y y) (+.f64 y #s(literal 1 binary64))) #s(literal -3 binary64))))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -3 binary64) (/.f64 y #s(literal 1/3 binary64)))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (+.f64 #s(literal -3 binary64) (/.f64 y #s(literal 1/3 binary64))))
(*.f64 (+.f64 #s(literal -27 binary64) (/.f64 (*.f64 y (*.f64 y y)) #s(literal 1/27 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 9 binary64) (*.f64 (*.f64 y #s(literal -3 binary64)) (+.f64 #s(literal -3 binary64) (*.f64 y #s(literal -3 binary64)))))))
(*.f64 (+.f64 #s(literal -27 binary64) (/.f64 (*.f64 y (*.f64 y y)) #s(literal 1/27 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 9 binary64) (-.f64 (*.f64 (*.f64 y y) #s(literal 9 binary64)) (/.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) y))))))
(*.f64 (-.f64 #s(literal 9 binary64) (*.f64 (*.f64 y y) #s(literal 9 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -3 binary64) (*.f64 y #s(literal -3 binary64)))))
(*.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal -27 binary64) (/.f64 (*.f64 y (*.f64 y y)) #s(literal 1/27 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 9 binary64) (*.f64 (*.f64 y #s(literal -3 binary64)) (+.f64 #s(literal -3 binary64) (*.f64 y #s(literal -3 binary64))))))))
(*.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 9 binary64) (*.f64 (*.f64 y y) #s(literal 9 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal -3 binary64) (*.f64 y #s(literal -3 binary64))))))
(*.f64 (+.f64 (-.f64 #s(literal 0 binary64) y) #s(literal 1 binary64)) #s(literal -3 binary64))

simplify354.0ms (3%)

Algorithm
1×egg-herbie
Rules
4886×*-lowering-*.f32
4886×*-lowering-*.f64
3402×+-lowering-+.f64
3402×+-lowering-+.f32
1128×distribute-lft-in
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03302827
111132561
237752505
083572505
Stop Event
1×iter limit
1×node limit
Counts
300 → 300
Calls
Call 1
Inputs
(* 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))))))
(* 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))))))
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(/ 1 (- (* 1/9 (/ 1 x)) 1))
(+ (* -1 (/ y (pow (- (* 1/9 (/ 1 x)) 1) 2))) (/ 1 (- (* 1/9 (/ 1 x)) 1)))
(+ (* y (- (/ y (pow (- (* 1/9 (/ 1 x)) 1) 3)) (/ 1 (pow (- (* 1/9 (/ 1 x)) 1) 2)))) (/ 1 (- (* 1/9 (/ 1 x)) 1)))
(+ (* y (- (* y (+ (* -1 (/ y (pow (- (* 1/9 (/ 1 x)) 1) 4))) (/ 1 (pow (- (* 1/9 (/ 1 x)) 1) 3)))) (/ 1 (pow (- (* 1/9 (/ 1 x)) 1) 2)))) (/ 1 (- (* 1/9 (/ 1 x)) 1)))
(/ 1 y)
(/ (- (+ 1 (/ 1 y)) (/ 1/9 (* x y))) y)
(/ (- (+ 1 (+ (* -1 (/ (* (- 1 (* 1/9 (/ 1 x))) (- (* 1/9 (/ 1 x)) 1)) (pow y 2))) (/ 1 y))) (/ 1/9 (* x y))) y)
(/ (- (+ 1 (+ (/ 1 y) (/ (* (- 1 (* 1/9 (/ 1 x))) (pow (- (* 1/9 (/ 1 x)) 1) 2)) (pow y 3)))) (+ (/ 1/9 (* x y)) (/ (* (- 1 (* 1/9 (/ 1 x))) (- (* 1/9 (/ 1 x)) 1)) (pow y 2)))) y)
(/ 1 y)
(* -1 (/ (- (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) 1) y))
(* -1 (/ (- (* -1 (/ (- (+ 1 (* -1 (/ (* (- 1 (* 1/9 (/ 1 x))) (- (* 1/9 (/ 1 x)) 1)) y))) (* 1/9 (/ 1 x))) y)) 1) y))
(* -1 (/ (- (* -1 (/ (- (+ 1 (* -1 (/ (- (* -1 (/ (* (- 1 (* 1/9 (/ 1 x))) (pow (- (* 1/9 (/ 1 x)) 1) 2)) y)) (* -1 (* (- 1 (* 1/9 (/ 1 x))) (- (* 1/9 (/ 1 x)) 1)))) y))) (* 1/9 (/ 1 x))) y)) 1) y))
(* 9 x)
(* x (+ 9 (* -81 (* x (- y 1)))))
(* x (+ 9 (* x (- (* 729 (* x (pow (- y 1) 2))) (* 81 (- y 1))))))
(* x (+ 9 (* x (- (* x (- (* -6561 (* x (pow (- y 1) 3))) (* -729 (pow (- y 1) 2)))) (* 81 (- y 1))))))
(/ 1 (- y 1))
(- (/ 1 (- y 1)) (* 1/9 (/ 1 (* x (pow (- y 1) 2)))))
(- (+ (/ 1/81 (* (pow x 2) (pow (- y 1) 3))) (/ 1 (- y 1))) (/ 1/9 (* x (pow (- y 1) 2))))
(- (+ (* 1/81 (/ 1 (* (pow x 2) (pow (- y 1) 3)))) (/ 1 (- y 1))) (+ (/ 1/9 (* x (pow (- y 1) 2))) (* 1/729 (/ 1 (* (pow x 3) (pow (- y 1) 4))))))
(/ 1 (- y 1))
(- (/ 1 (- y 1)) (* 1/9 (/ 1 (* x (pow (- y 1) 2)))))
(+ (* -1 (/ (- (* 1/9 (/ 1 (pow (- y 1) 2))) (* 1/81 (/ 1 (* x (pow (- y 1) 3))))) x)) (/ 1 (- y 1)))
(+ (* -1 (/ (+ (* -1 (/ (- (* 1/81 (/ 1 (pow (- y 1) 3))) (* 1/729 (/ 1 (* x (pow (- y 1) 4))))) x)) (* 1/9 (/ 1 (pow (- y 1) 2)))) x)) (/ 1 (- y 1)))
(* 1/3 (sqrt (/ 1 x)))
(* 1/3 (sqrt (/ 1 x)))
(* 1/3 (sqrt (/ 1 x)))
(* 1/3 (sqrt (/ 1 x)))
(* 1/3 (sqrt (/ 1 x)))
(* 1/3 (sqrt (/ 1 x)))
(* 1/3 (sqrt (/ 1 x)))
(* 1/3 (sqrt (/ 1 x)))
(* 1/3 (sqrt (/ 1 x)))
(* 1/3 (sqrt (/ 1 x)))
(* 1/3 (sqrt (/ 1 x)))
(* 1/3 (sqrt (/ 1 x)))
(* 3 (* (sqrt x) y))
(* 3 (* (sqrt x) y))
(* 3 (* (sqrt x) y))
(* 3 (* (sqrt x) y))
(* 3 (* (sqrt x) y))
(* 3 (* (sqrt x) y))
(* 3 (* (sqrt x) y))
(* 3 (* (sqrt x) y))
(* -3 (* (sqrt x) (* y (pow (sqrt -1) 2))))
(* -3 (* (sqrt x) (* y (pow (sqrt -1) 2))))
(* -3 (* (sqrt x) (* y (pow (sqrt -1) 2))))
(* -3 (* (sqrt x) (* y (pow (sqrt -1) 2))))
(* 3 (* (sqrt x) y))
(* 3 (* (sqrt x) y))
(* 3 (* (sqrt x) y))
(* 3 (* (sqrt x) y))
(* 3 (* (sqrt x) y))
(* 3 (* (sqrt x) y))
(* 3 (* (sqrt x) y))
(* 3 (* (sqrt x) y))
(* 3 (* (sqrt x) y))
(* 3 (* (sqrt x) y))
(* 3 (* (sqrt x) y))
(* 3 (* (sqrt x) y))
(/ 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)
(* 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))))))
1/3
(+ 1/3 (* -3 x))
(+ 1/3 (* -3 x))
(+ 1/3 (* -3 x))
(* -3 x)
(* x (- (* 1/3 (/ 1 x)) 3))
(* x (- (* 1/3 (/ 1 x)) 3))
(* x (- (* 1/3 (/ 1 x)) 3))
(* -3 x)
(* -1 (* x (- 3 (* 1/3 (/ 1 x)))))
(* -1 (* x (- 3 (* 1/3 (/ 1 x)))))
(* -1 (* x (- 3 (* 1/3 (/ 1 x)))))
(* -3 x)
(* -3 x)
(* -3 x)
(* -3 x)
(* -3 x)
(* -3 x)
(* -3 x)
(* -3 x)
(* -3 x)
(* -3 x)
(* -3 x)
(* -3 x)
(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 (* (sqrt (pow x 3)) (+ 3 (* -3 y)))) (* 1/3 (sqrt x))) x)
(/ (+ (* -1 (* (sqrt (pow x 3)) (+ 3 (* -3 y)))) (* 1/3 (sqrt x))) x)
(/ (+ (* -1 (* (sqrt (pow x 3)) (+ 3 (* -3 y)))) (* 1/3 (sqrt x))) x)
(* -1 (* (sqrt x) (+ 3 (* -3 y))))
(* x (+ (* -1 (* (sqrt (/ 1 x)) (+ 3 (* -3 y)))) (* 1/3 (sqrt (/ 1 (pow x 3))))))
(* x (+ (* -1 (* (sqrt (/ 1 x)) (+ 3 (* -3 y)))) (* 1/3 (sqrt (/ 1 (pow x 3))))))
(* x (+ (* -1 (* (sqrt (/ 1 x)) (+ 3 (* -3 y)))) (* 1/3 (sqrt (/ 1 (pow x 3))))))
(* (sqrt x) (* (pow (sqrt -1) 2) (+ 3 (* -3 y))))
(* -1 (* x (+ (* -1 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (+ 3 (* -3 y))))) (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))))))
(* -1 (* x (+ (* -1 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (+ 3 (* -3 y))))) (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))))))
(* -1 (* x (+ (* -1 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (+ 3 (* -3 y))))) (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))))))
(* (sqrt (/ 1 x)) (+ 1/3 (* -3 x)))
(+ (* 3 (* (sqrt x) y)) (* (sqrt (/ 1 x)) (+ 1/3 (* -3 x))))
(+ (* 3 (* (sqrt x) y)) (* (sqrt (/ 1 x)) (+ 1/3 (* -3 x))))
(+ (* 3 (* (sqrt x) y)) (* (sqrt (/ 1 x)) (+ 1/3 (* -3 x))))
(* 3 (* (sqrt x) y))
(* y (+ (* 3 (sqrt x)) (* (sqrt (/ 1 x)) (/ (+ 1/3 (* -3 x)) y))))
(* y (+ (* 3 (sqrt x)) (* (sqrt (/ 1 x)) (/ (+ 1/3 (* -3 x)) y))))
(* y (+ (* 3 (sqrt x)) (* (sqrt (/ 1 x)) (/ (+ 1/3 (* -3 x)) y))))
(* 3 (* (sqrt x) y))
(* -1 (* y (+ (* -3 (sqrt x)) (* -1 (* (sqrt (/ 1 x)) (/ (+ 1/3 (* -3 x)) y))))))
(* -1 (* y (+ (* -3 (sqrt x)) (* -1 (* (sqrt (/ 1 x)) (/ (+ 1/3 (* -3 x)) y))))))
(* -1 (* y (+ (* -3 (sqrt x)) (* -1 (* (sqrt (/ 1 x)) (/ (+ 1/3 (* -3 x)) y))))))
(/ 1/3 x)
(/ (+ 1/3 (* -1 (* x (+ 3 (* -3 y))))) x)
(/ (+ 1/3 (* -1 (* x (+ 3 (* -3 y))))) x)
(/ (+ 1/3 (* -1 (* x (+ 3 (* -3 y))))) x)
(* -1 (+ 3 (* -3 y)))
(+ (* -1 (+ 3 (* -3 y))) (* 1/3 (/ 1 x)))
(+ (* -1 (+ 3 (* -3 y))) (* 1/3 (/ 1 x)))
(+ (* -1 (+ 3 (* -3 y))) (* 1/3 (/ 1 x)))
(* -1 (+ 3 (* -3 y)))
(+ (* -1 (+ 3 (* -3 y))) (* 1/3 (/ 1 x)))
(+ (* -1 (+ 3 (* -3 y))) (* 1/3 (/ 1 x)))
(+ (* -1 (+ 3 (* -3 y))) (* 1/3 (/ 1 x)))
(/ (+ 1/3 (* -3 x)) x)
(+ -3 (+ (* 3 y) (* 1/3 (/ 1 x))))
(+ -3 (+ (* 3 y) (* 1/3 (/ 1 x))))
(+ -3 (+ (* 3 y) (* 1/3 (/ 1 x))))
(* 3 y)
(* y (- (+ 3 (/ 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
(+ 1/3 (* -1 (* x (+ 3 (* -3 y)))))
(+ 1/3 (* -1 (* x (+ 3 (* -3 y)))))
(+ 1/3 (* -1 (* x (+ 3 (* -3 y)))))
(* -1 (* x (+ 3 (* -3 y))))
(* x (+ (* -1 (+ 3 (* -3 y))) (* 1/3 (/ 1 x))))
(* x (+ (* -1 (+ 3 (* -3 y))) (* 1/3 (/ 1 x))))
(* x (+ (* -1 (+ 3 (* -3 y))) (* 1/3 (/ 1 x))))
(* -1 (* x (+ 3 (* -3 y))))
(* -1 (* x (- (+ 3 (* -3 y)) (* 1/3 (/ 1 x)))))
(* -1 (* x (- (+ 3 (* -3 y)) (* 1/3 (/ 1 x)))))
(* -1 (* x (- (+ 3 (* -3 y)) (* 1/3 (/ 1 x)))))
(+ 1/3 (* -3 x))
(+ 1/3 (+ (* -3 x) (* 3 (* x y))))
(+ 1/3 (+ (* -3 x) (* 3 (* x y))))
(+ 1/3 (+ (* -3 x) (* 3 (* x y))))
(* 3 (* x y))
(* y (+ (* -3 (/ x y)) (+ (* 3 x) (* 1/3 (/ 1 y)))))
(* y (+ (* -3 (/ x y)) (+ (* 3 x) (* 1/3 (/ 1 y)))))
(* y (+ (* -3 (/ x y)) (+ (* 3 x) (* 1/3 (/ 1 y)))))
(* 3 (* x y))
(* -1 (* y (+ (* -3 x) (* -1 (/ (+ 1/3 (* -3 x)) y)))))
(* -1 (* y (+ (* -3 x) (* -1 (/ (+ 1/3 (* -3 x)) y)))))
(* -1 (* y (+ (* -3 x) (* -1 (/ (+ 1/3 (* -3 x)) y)))))
(/ 1/9 x)
(/ 1/9 x)
(/ 1/9 x)
(/ 1/9 x)
(/ 1/9 x)
(/ 1/9 x)
(/ 1/9 x)
(/ 1/9 x)
(/ 1/9 x)
(/ 1/9 x)
(/ 1/9 x)
(/ 1/9 x)
(* -1 (* x (+ 3 (* -3 y))))
(* -1 (* x (+ 3 (* -3 y))))
(* -1 (* x (+ 3 (* -3 y))))
(* -1 (* x (+ 3 (* -3 y))))
(* -1 (* x (+ 3 (* -3 y))))
(* -1 (* x (+ 3 (* -3 y))))
(* -1 (* x (+ 3 (* -3 y))))
(* -1 (* x (+ 3 (* -3 y))))
(* -1 (* x (+ 3 (* -3 y))))
(* -1 (* x (+ 3 (* -3 y))))
(* -1 (* x (+ 3 (* -3 y))))
(* -1 (* x (+ 3 (* -3 y))))
(* -3 x)
(+ (* -3 x) (* 3 (* x y)))
(+ (* -3 x) (* 3 (* x y)))
(+ (* -3 x) (* 3 (* x y)))
(* 3 (* x y))
(* y (+ (* -3 (/ x y)) (* 3 x)))
(* y (+ (* -3 (/ x y)) (* 3 x)))
(* y (+ (* -3 (/ x y)) (* 3 x)))
(* 3 (* x y))
(* -1 (* y (+ (* -3 x) (* 3 (/ x y)))))
(* -1 (* y (+ (* -3 x) (* 3 (/ x y)))))
(* -1 (* y (+ (* -3 x) (* 3 (/ x y)))))
-3
(- (* 3 y) 3)
(- (* 3 y) 3)
(- (* 3 y) 3)
(* 3 y)
(* y (- 3 (* 3 (/ 1 y))))
(* y (- 3 (* 3 (/ 1 y))))
(* y (- 3 (* 3 (/ 1 y))))
(* 3 y)
(* -1 (* y (- (* 3 (/ 1 y)) 3)))
(* -1 (* y (- (* 3 (/ 1 y)) 3)))
(* -1 (* y (- (* 3 (/ 1 y)) 3)))
Outputs
(* 1/9 (sqrt (/ 1 x)))
(*.f64 #s(literal 1/9 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(/ (+ (* 1/9 (sqrt x)) (* (sqrt (pow x 3)) (- y 1))) x)
(/.f64 (+.f64 (*.f64 #s(literal 1/9 binary64) (sqrt.f64 x)) (*.f64 (sqrt.f64 (*.f64 x (*.f64 x x))) (+.f64 y #s(literal -1 binary64)))) x)
(/ (+ (* 1/9 (sqrt x)) (* (sqrt (pow x 3)) (- y 1))) x)
(/.f64 (+.f64 (*.f64 #s(literal 1/9 binary64) (sqrt.f64 x)) (*.f64 (sqrt.f64 (*.f64 x (*.f64 x x))) (+.f64 y #s(literal -1 binary64)))) x)
(/ (+ (* 1/9 (sqrt x)) (* (sqrt (pow x 3)) (- y 1))) x)
(/.f64 (+.f64 (*.f64 #s(literal 1/9 binary64) (sqrt.f64 x)) (*.f64 (sqrt.f64 (*.f64 x (*.f64 x x))) (+.f64 y #s(literal -1 binary64)))) x)
(* (sqrt x) (- y 1))
(*.f64 (sqrt.f64 x) (+.f64 y #s(literal -1 binary64)))
(* x (+ (* 1/9 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (- y 1))))
(*.f64 x (+.f64 (*.f64 #s(literal 1/9 binary64) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) x))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (+.f64 y #s(literal -1 binary64)))))
(* x (+ (* 1/9 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (- y 1))))
(*.f64 x (+.f64 (*.f64 #s(literal 1/9 binary64) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) x))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (+.f64 y #s(literal -1 binary64)))))
(* x (+ (* 1/9 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (- y 1))))
(*.f64 x (+.f64 (*.f64 #s(literal 1/9 binary64) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) x))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (+.f64 y #s(literal -1 binary64)))))
(* -1 (* (sqrt x) (* (pow (sqrt -1) 2) (- y 1))))
(*.f64 (sqrt.f64 x) (+.f64 y #s(literal -1 binary64)))
(* -1 (* x (+ (* 1/9 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1))))))
(*.f64 (+.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) x)) #s(literal -1/9 binary64)) (neg.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (+.f64 y #s(literal -1 binary64))))) (-.f64 #s(literal 0 binary64) x))
(* -1 (* x (+ (* 1/9 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1))))))
(*.f64 (+.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) x)) #s(literal -1/9 binary64)) (neg.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (+.f64 y #s(literal -1 binary64))))) (-.f64 #s(literal 0 binary64) x))
(* -1 (* x (+ (* 1/9 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1))))))
(*.f64 (+.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) x)) #s(literal -1/9 binary64)) (neg.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (+.f64 y #s(literal -1 binary64))))) (-.f64 #s(literal 0 binary64) x))
(* (sqrt x) (- (* 1/9 (/ 1 x)) 1))
(*.f64 (sqrt.f64 x) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/9 binary64) x)))
(+ (* (sqrt x) y) (* (sqrt x) (- (* 1/9 (/ 1 x)) 1)))
(*.f64 (sqrt.f64 x) (+.f64 y (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/9 binary64) x))))
(+ (* (sqrt x) y) (* (sqrt x) (- (* 1/9 (/ 1 x)) 1)))
(*.f64 (sqrt.f64 x) (+.f64 y (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/9 binary64) x))))
(+ (* (sqrt x) y) (* (sqrt x) (- (* 1/9 (/ 1 x)) 1)))
(*.f64 (sqrt.f64 x) (+.f64 y (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/9 binary64) x))))
(* (sqrt x) y)
(*.f64 (sqrt.f64 x) y)
(* y (+ (sqrt x) (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))
(*.f64 y (*.f64 (+.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/9 binary64) x)) y) #s(literal 1 binary64)) (sqrt.f64 x)))
(* y (+ (sqrt x) (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))
(*.f64 y (*.f64 (+.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/9 binary64) x)) y) #s(literal 1 binary64)) (sqrt.f64 x)))
(* y (+ (sqrt x) (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))
(*.f64 y (*.f64 (+.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/9 binary64) x)) y) #s(literal 1 binary64)) (sqrt.f64 x)))
(* (sqrt x) y)
(*.f64 (sqrt.f64 x) y)
(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))))
(*.f64 y (*.f64 (+.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/9 binary64) x)) y) #s(literal 1 binary64)) (sqrt.f64 x)))
(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))))
(*.f64 y (*.f64 (+.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/9 binary64) x)) y) #s(literal 1 binary64)) (sqrt.f64 x)))
(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))))
(*.f64 y (*.f64 (+.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/9 binary64) x)) y) #s(literal 1 binary64)) (sqrt.f64 x)))
(* 1/3 (sqrt (/ 1 x)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64))
(/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) (- y 1)))) x)
(/.f64 (+.f64 (*.f64 (sqrt.f64 x) #s(literal 1/3 binary64)) (*.f64 (sqrt.f64 (*.f64 x (*.f64 x x))) (+.f64 #s(literal -3 binary64) (*.f64 #s(literal 3 binary64) y)))) x)
(/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) (- y 1)))) x)
(/.f64 (+.f64 (*.f64 (sqrt.f64 x) #s(literal 1/3 binary64)) (*.f64 (sqrt.f64 (*.f64 x (*.f64 x x))) (+.f64 #s(literal -3 binary64) (*.f64 #s(literal 3 binary64) y)))) x)
(/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) (- y 1)))) x)
(/.f64 (+.f64 (*.f64 (sqrt.f64 x) #s(literal 1/3 binary64)) (*.f64 (sqrt.f64 (*.f64 x (*.f64 x x))) (+.f64 #s(literal -3 binary64) (*.f64 #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 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) x)) #s(literal 1/3 binary64)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (+.f64 #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 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) x)) #s(literal 1/3 binary64)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (+.f64 #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 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) x)) #s(literal 1/3 binary64)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (+.f64 #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 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) x)) #s(literal 1/3 binary64)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (+.f64 #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 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) x)) #s(literal 1/3 binary64)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (+.f64 #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 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) x)) #s(literal 1/3 binary64)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal -3 binary64) (*.f64 #s(literal 3 binary64) y)))))
(* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1)))
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(* 3 (* x y))
(*.f64 x (*.f64 #s(literal 3 binary64) y))
(* -1 (* y (+ (* -3 x) (* 3 (/ x y)))))
(*.f64 y (*.f64 x (+.f64 #s(literal 3 binary64) (/.f64 #s(literal -3 binary64) y))))
(* -1 (* y (+ (* -3 x) (* 3 (/ x y)))))
(*.f64 y (*.f64 x (+.f64 #s(literal 3 binary64) (/.f64 #s(literal -3 binary64) y))))
(* -1 (* y (+ (* -3 x) (* 3 (/ x y)))))
(*.f64 y (*.f64 x (+.f64 #s(literal 3 binary64) (/.f64 #s(literal -3 binary64) y))))
-3
#s(literal -3 binary64)
(- (* 3 y) 3)
(+.f64 #s(literal -3 binary64) (*.f64 #s(literal 3 binary64) y))
(- (* 3 y) 3)
(+.f64 #s(literal -3 binary64) (*.f64 #s(literal 3 binary64) y))
(- (* 3 y) 3)
(+.f64 #s(literal -3 binary64) (*.f64 #s(literal 3 binary64) y))
(* 3 y)
(*.f64 #s(literal 3 binary64) y)
(* y (- 3 (* 3 (/ 1 y))))
(*.f64 y (+.f64 #s(literal 3 binary64) (/.f64 #s(literal -3 binary64) y)))
(* y (- 3 (* 3 (/ 1 y))))
(*.f64 y (+.f64 #s(literal 3 binary64) (/.f64 #s(literal -3 binary64) y)))
(* y (- 3 (* 3 (/ 1 y))))
(*.f64 y (+.f64 #s(literal 3 binary64) (/.f64 #s(literal -3 binary64) y)))
(* 3 y)
(*.f64 #s(literal 3 binary64) y)
(* -1 (* y (- (* 3 (/ 1 y)) 3)))
(*.f64 y (+.f64 #s(literal 3 binary64) (/.f64 #s(literal -3 binary64) y)))
(* -1 (* y (- (* 3 (/ 1 y)) 3)))
(*.f64 y (+.f64 #s(literal 3 binary64) (/.f64 #s(literal -3 binary64) y)))
(* -1 (* y (- (* 3 (/ 1 y)) 3)))
(*.f64 y (+.f64 #s(literal 3 binary64) (/.f64 #s(literal -3 binary64) y)))

eval114.0ms (1%)

Compiler

Compiled 17901 to 2156 computations (88% saved)

prune212.0ms (1.8%)

Pruning

35 alts after pruning (28 fresh and 7 done)

PrunedKeptTotal
New93215947
Fresh111324
Picked235
Done044
Total94535980
Accuracy
100.0%
Counts
980 → 35
Alt Table
Click to see full alt table
StatusAccuracyProgram
38.1%
(/.f64 (pow.f64 (pow.f64 x #s(literal -1/4 binary64)) #s(literal -2 binary64)) (/.f64 #s(literal 1/3 binary64) y))
30.1%
(/.f64 (pow.f64 (*.f64 x x) #s(literal 1/4 binary64)) (/.f64 #s(literal 1/3 binary64) y))
62.1%
(/.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -3 binary64)))))
38.2%
(/.f64 (/.f64 y #s(literal 1/3 binary64)) (pow.f64 x #s(literal -1/2 binary64)))
62.0%
(/.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -3 binary64))) (sqrt.f64 x))
55.8%
(/.f64 (*.f64 (sqrt.f64 x) (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -3 binary64)))) x)
61.9%
(/.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/9 binary64) x))))
✓38.2%
(/.f64 (sqrt.f64 x) (/.f64 #s(literal 1/3 binary64) y))
35.9%
(/.f64 (sqrt.f64 x) (*.f64 x #s(literal 3 binary64)))
38.2%
(/.f64 y (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)))
99.3%
(/.f64 #s(literal 3 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 y (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)))) (sqrt.f64 x)))
35.9%
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 x) #s(literal 1/3 binary64)))
✓35.9%
(/.f64 #s(literal 1/3 binary64) (sqrt.f64 x))
35.9%
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1/3 binary64))
99.3%
(*.f64 (/.f64 (+.f64 y (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64))) (pow.f64 x #s(literal -1/2 binary64))) #s(literal 3 binary64))
27.0%
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1/2 binary64))) #s(literal -3 binary64))
62.0%
(*.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64)) (sqrt.f64 x))
93.7%
(*.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 x (+.f64 #s(literal -3 binary64) (/.f64 y #s(literal 1/3 binary64))))) (pow.f64 x #s(literal -1/2 binary64)))
✓62.0%
(*.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -3 binary64))) (pow.f64 x #s(literal -1/2 binary64)))
✓99.4%
(*.f64 (*.f64 (sqrt.f64 x) (+.f64 y (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)))) #s(literal 3 binary64))
88.6%
(*.f64 (*.f64 (sqrt.f64 x) (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/9 binary64) x)) y)))) #s(literal 3 binary64))
38.3%
(*.f64 (*.f64 (sqrt.f64 x) y) #s(literal 3 binary64))
27.2%
(*.f64 (*.f64 x #s(literal -3 binary64)) (pow.f64 x #s(literal -1/2 binary64)))
63.5%
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 y #s(literal 1 binary64)))
75.4%
(*.f64 (sqrt.f64 x) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 (*.f64 (-.f64 #s(literal 9 binary64) (*.f64 (*.f64 y y) #s(literal 9 binary64))) x) (+.f64 #s(literal -3 binary64) (*.f64 y #s(literal -3 binary64))))) x))
67.0%
(*.f64 (sqrt.f64 x) (/.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 #s(literal 3 binary64) y))) x))
32.6%
(*.f64 (sqrt.f64 x) (/.f64 (*.f64 x (*.f64 #s(literal 3 binary64) y)) x))
35.9%
(*.f64 (sqrt.f64 x) (/.f64 #s(literal 1/3 binary64) x))
✓63.5%
(*.f64 (sqrt.f64 x) (-.f64 #s(literal -3 binary64) (*.f64 y #s(literal -3 binary64))))
72.6%
(*.f64 (sqrt.f64 x) (+.f64 (*.f64 #s(literal 3 binary64) y) (/.f64 #s(literal 1/3 binary64) x)))
✓99.3%
(*.f64 (sqrt.f64 x) (+.f64 (*.f64 #s(literal 3 binary64) y) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))))
63.5%
(*.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) (+.f64 y #s(literal -1 binary64))))
38.2%
(*.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) y))
3.3%
(*.f64 (sqrt.f64 x) #s(literal 3 binary64))
✓27.1%
(*.f64 (sqrt.f64 x) #s(literal -3 binary64))
Compiler

Compiled 1492 to 557 computations (62.7% saved)

regimes75.0ms (0.6%)

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

3 calls:

23.0ms
y
23.0ms
(*.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)))
23.0ms
x
Results
AccuracySegmentsBranch
99.4%1x
99.4%1y
99.4%1(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64)))
Compiler

Compiled 22 to 16 computations (27.3% saved)

regimes29.0ms (0.2%)

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

14.0ms
y
12.0ms
x
Results
AccuracySegmentsBranch
99.3%1x
99.3%1y
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes30.0ms (0.3%)

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

2 calls:

15.0ms
x
13.0ms
y
Results
AccuracySegmentsBranch
98.5%2x
98.2%3y
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes21.0ms (0.2%)

Counts
31 → 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 #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 #s(literal 3 binary64) (*.f64 (sqrt.f64 x) y))
(*.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) y))
(*.f64 (sqrt.f64 x) (/.f64 #s(literal 1/3 binary64) x))
(*.f64 (*.f64 (sqrt.f64 x) y) #s(literal 3 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 x) #s(literal 1/3 binary64)))
(/.f64 y (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)))
(/.f64 (sqrt.f64 x) (*.f64 x #s(literal 3 binary64)))
(/.f64 (sqrt.f64 x) (/.f64 #s(literal 1/3 binary64) y))
(*.f64 (*.f64 x #s(literal -3 binary64)) (pow.f64 x #s(literal -1/2 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1/2 binary64))) #s(literal -3 binary64))
(/.f64 (/.f64 y #s(literal 1/3 binary64)) (pow.f64 x #s(literal -1/2 binary64)))
(*.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) (+.f64 y #s(literal -1 binary64))))
(*.f64 (sqrt.f64 x) (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64)))
(*.f64 (sqrt.f64 x) (-.f64 #s(literal -3 binary64) (*.f64 y #s(literal -3 binary64))))
(*.f64 (sqrt.f64 x) (/.f64 (*.f64 x #s(literal -3 binary64)) x))
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 y #s(literal 1 binary64)))
(*.f64 (*.f64 (sqrt.f64 x) (/.f64 #s(literal 1/9 binary64) x)) #s(literal 3 binary64))
(*.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64)) (sqrt.f64 x))
(/.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) (*.f64 x #s(literal 9 binary64)))
(/.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) y))
(/.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -3 binary64))) (sqrt.f64 x))
(*.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -3 binary64))) (pow.f64 x #s(literal -1/2 binary64)))
(/.f64 (pow.f64 (*.f64 x x) #s(literal 1/4 binary64)) (/.f64 #s(literal 1/3 binary64) y))
(*.f64 (sqrt.f64 x) (+.f64 #s(literal -3 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) x))))
(*.f64 (sqrt.f64 x) (+.f64 #s(literal -3 binary64) (*.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 3 binary64))))
Outputs
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 y #s(literal 1 binary64)))
(*.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 x #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:

9.0ms
x
9.0ms
y
Results
AccuracySegmentsBranch
87.6%3y
85.3%2x
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes14.0ms (0.1%)

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

1 calls:

8.0ms
y
Results
AccuracySegmentsBranch
87.6%3y
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes10.0ms (0.1%)

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

8.0ms
y
Results
AccuracySegmentsBranch
87.6%3y
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes15.0ms (0.1%)

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

1 calls:

14.0ms
y
Results
AccuracySegmentsBranch
87.5%3y
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes13.0ms (0.1%)

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

2 calls:

6.0ms
y
6.0ms
x
Results
AccuracySegmentsBranch
85.3%2x
70.4%5y
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes16.0ms (0.1%)

Counts
17 → 6
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 #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 #s(literal 3 binary64) (*.f64 (sqrt.f64 x) y))
(*.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) y))
(*.f64 (sqrt.f64 x) (/.f64 #s(literal 1/3 binary64) x))
(*.f64 (*.f64 (sqrt.f64 x) y) #s(literal 3 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 x) #s(literal 1/3 binary64)))
(/.f64 y (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)))
(/.f64 (sqrt.f64 x) (*.f64 x #s(literal 3 binary64)))
(/.f64 (sqrt.f64 x) (/.f64 #s(literal 1/3 binary64) y))
(*.f64 (*.f64 x #s(literal -3 binary64)) (pow.f64 x #s(literal -1/2 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1/2 binary64))) #s(literal -3 binary64))
(/.f64 (/.f64 y #s(literal 1/3 binary64)) (pow.f64 x #s(literal -1/2 binary64)))
Outputs
(*.f64 #s(literal 3 binary64) (*.f64 (sqrt.f64 x) y))
(*.f64 (*.f64 x #s(literal -3 binary64)) (pow.f64 x #s(literal -1/2 binary64)))
(/.f64 #s(literal 1/3 binary64) (sqrt.f64 x))
(*.f64 (sqrt.f64 x) #s(literal -3 binary64))
(/.f64 (sqrt.f64 x) (*.f64 x #s(literal 3 binary64)))
(*.f64 #s(literal 3 binary64) (*.f64 (sqrt.f64 x) y))
Calls

2 calls:

9.0ms
y
6.0ms
x
Results
AccuracySegmentsBranch
69.7%6y
67.8%5x
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes6.0ms (0.1%)

Counts
14 → 6
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 #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 #s(literal 3 binary64) (*.f64 (sqrt.f64 x) y))
(*.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) y))
(*.f64 (sqrt.f64 x) (/.f64 #s(literal 1/3 binary64) x))
(*.f64 (*.f64 (sqrt.f64 x) y) #s(literal 3 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 x) #s(literal 1/3 binary64)))
(/.f64 y (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)))
(/.f64 (sqrt.f64 x) (*.f64 x #s(literal 3 binary64)))
(/.f64 (sqrt.f64 x) (/.f64 #s(literal 1/3 binary64) y))
Outputs
(*.f64 #s(literal 3 binary64) (*.f64 (sqrt.f64 x) y))
(*.f64 (sqrt.f64 x) #s(literal -3 binary64))
(/.f64 #s(literal 1/3 binary64) (sqrt.f64 x))
(*.f64 (sqrt.f64 x) #s(literal -3 binary64))
(/.f64 (sqrt.f64 x) (*.f64 x #s(literal 3 binary64)))
(*.f64 #s(literal 3 binary64) (*.f64 (sqrt.f64 x) y))
Calls

1 calls:

5.0ms
y
Results
AccuracySegmentsBranch
69.6%6y
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes5.0ms (0%)

Counts
12 → 6
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 #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 #s(literal 3 binary64) (*.f64 (sqrt.f64 x) y))
(*.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) y))
(*.f64 (sqrt.f64 x) (/.f64 #s(literal 1/3 binary64) x))
(*.f64 (*.f64 (sqrt.f64 x) y) #s(literal 3 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 x) #s(literal 1/3 binary64)))
(/.f64 y (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)))
Outputs
(*.f64 #s(literal 3 binary64) (*.f64 (sqrt.f64 x) y))
(*.f64 (sqrt.f64 x) #s(literal -3 binary64))
(/.f64 #s(literal 1/3 binary64) (sqrt.f64 x))
(*.f64 (sqrt.f64 x) #s(literal -3 binary64))
(/.f64 #s(literal 1/3 binary64) (sqrt.f64 x))
(*.f64 #s(literal 3 binary64) (*.f64 (sqrt.f64 x) y))
Calls

1 calls:

4.0ms
y
Results
AccuracySegmentsBranch
69.6%6y
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes8.0ms (0.1%)

Counts
6 → 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 #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 #s(literal 1/3 binary64) (sqrt.f64 x))
(*.f64 (sqrt.f64 x) #s(literal -3 binary64))
Calls

2 calls:

5.0ms
x
3.0ms
y
Results
AccuracySegmentsBranch
61.1%2x
45.1%5y
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes3.0ms (0%)

Accuracy

Total -16.6b remaining (-35.6%)

Threshold costs -16.6b (-35.6%)

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
27.1%1y
27.1%1x
Compiler

Compiled 6 to 4 computations (33.3% saved)

bsearch17.0ms (0.1%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
15.0ms
0.05537273642193941
24.613921168243934
Results
11.0ms128×0valid
Compiler

Compiled 213 to 168 computations (21.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 6.0ms
ival-mult: 2.0ms (32% of total)
ival-div: 1.0ms (16% of total)
ival-sub: 1.0ms (16% of total)
ival-add: 1.0ms (16% of total)
ival-sqrt: 1.0ms (16% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch44.0ms (0.4%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
17.0ms
3.994957776693335e+26
1.5092442380671522e+33
23.0ms
-1210646.9291078649
-986.372265187479
Results
30.0ms272×0valid
Compiler

Compiled 412 to 339 computations (17.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 21.0ms
ival-sub: 9.0ms (42.9% of total)
ival-mult: 5.0ms (23.9% of total)
ival-div: 2.0ms (9.5% of total)
ival-sqrt: 2.0ms (9.5% of total)
ival-add: 1.0ms (4.8% of total)
const: 1.0ms (4.8% of total)
backward-pass: 0.0ms (0% of total)

bsearch45.0ms (0.4%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
20.0ms
3.994957776693335e+26
1.5092442380671522e+33
22.0ms
-1210646.9291078649
-986.372265187479
Results
32.0ms272×0valid
Compiler

Compiled 395 to 322 computations (18.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 22.0ms
ival-sqrt: 9.0ms (40.2% of total)
ival-mult: 8.0ms (35.7% of total)
ival-div: 2.0ms (8.9% of total)
ival-add: 2.0ms (8.9% of total)
ival-sub: 1.0ms (4.5% of total)
const: 1.0ms (4.5% of total)
backward-pass: 0.0ms (0% of total)

bsearch39.0ms (0.3%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
20.0ms
3.994957776693335e+26
1.5092442380671522e+33
15.0ms
-1210646.9291078649
-986.372265187479
Results
23.0ms272×0valid
Compiler

Compiled 395 to 322 computations (18.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 13.0ms
ival-mult: 5.0ms (37.5% of total)
ival-div: 2.0ms (15% of total)
ival-sqrt: 2.0ms (15% of total)
ival-sub: 1.0ms (7.5% of total)
ival-add: 1.0ms (7.5% of total)
const: 1.0ms (7.5% of total)
backward-pass: 0.0ms (0% of total)

bsearch42.0ms (0.4%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
21.0ms
3.994957776693335e+26
1.5092442380671522e+33
18.0ms
-1210646.9291078649
-986.372265187479
Results
26.0ms272×0valid
Compiler

Compiled 377 to 304 computations (19.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 16.0ms
ival-mult: 8.0ms (48.9% of total)
ival-div: 2.0ms (12.2% of total)
ival-add: 2.0ms (12.2% of total)
ival-sqrt: 2.0ms (12.2% of total)
ival-sub: 1.0ms (6.1% of total)
const: 1.0ms (6.1% of total)
backward-pass: 0.0ms (0% of total)

bsearch17.0ms (0.1%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
15.0ms
2.2606142504936472e-21
1.584178776188791e-18
Results
11.0ms128×0valid
Compiler

Compiled 181 to 144 computations (20.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 6.0ms
ival-mult: 2.0ms (32.1% of total)
ival-div: 1.0ms (16.1% of total)
ival-sub: 1.0ms (16.1% of total)
ival-add: 1.0ms (16.1% of total)
ival-sqrt: 1.0ms (16.1% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch94.0ms (0.8%)

Algorithm
5×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
1×narrow-enough
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
17.0ms
9.186422826555278e+36
2.7065185840999832e+41
17.0ms
3.6425091277873296e-141
2.2497023115771256e-138
13.0ms
-6.116887274494903e-225
-3.353779322596813e-227
20.0ms
-1.3287612819797845e-163
-9.947782458540443e-169
18.0ms
-1210646.9291078649
-986.372265187479
Results
62.0ms640×0valid
Compiler

Compiled 696 to 562 computations (19.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 37.0ms
ival-mult: 12.0ms (32.4% of total)
ival-div: 9.0ms (24.3% of total)
ival-sub: 6.0ms (16.2% of total)
ival-sqrt: 5.0ms (13.5% of total)
ival-add: 3.0ms (8.1% of total)
const: 1.0ms (2.7% of total)
backward-pass: 0.0ms (0% of total)

bsearch119.0ms (1%)

Algorithm
5×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
1×narrow-enough
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
23.0ms
9.186422826555278e+36
2.7065185840999832e+41
16.0ms
3.6425091277873296e-141
2.2497023115771256e-138
13.0ms
-6.116887274494903e-225
-3.353779322596813e-227
42.0ms
-1.3287612819797845e-163
-9.947782458540443e-169
17.0ms
-1210646.9291078649
-986.372265187479
Results
89.0ms640×0valid
Compiler

Compiled 645 to 528 computations (18.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 42.0ms
ival-mult: 20.0ms (47.5% of total)
ival-sqrt: 7.0ms (16.6% of total)
ival-div: 6.0ms (14.3% of total)
ival-sub: 3.0ms (7.1% of total)
ival-add: 3.0ms (7.1% of total)
const: 1.0ms (2.4% of total)
backward-pass: 0.0ms (0% of total)

bsearch89.0ms (0.8%)

Algorithm
5×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
1×narrow-enough
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
17.0ms
9.186422826555278e+36
2.7065185840999832e+41
15.0ms
3.6425091277873296e-141
2.2497023115771256e-138
14.0ms
-6.116887274494903e-225
-3.353779322596813e-227
18.0ms
-1.3287612819797845e-163
-9.947782458540443e-169
17.0ms
-1210646.9291078649
-986.372265187479
Results
59.0ms640×0valid
Compiler

Compiled 613 to 512 computations (16.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 36.0ms
ival-mult: 12.0ms (33.3% of total)
ival-add: 7.0ms (19.4% of total)
ival-div: 6.0ms (16.6% of total)
ival-sqrt: 6.0ms (16.6% of total)
ival-sub: 3.0ms (8.3% of total)
const: 1.0ms (2.8% of total)
backward-pass: 0.0ms (0% of total)

bsearch19.0ms (0.2%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
17.0ms
0.05537273642193941
24.613921168243934
Results
12.0ms128×0valid
Compiler

Compiled 133 to 112 computations (15.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 6.0ms
ival-mult: 2.0ms (32.1% of total)
ival-div: 1.0ms (16.1% of total)
ival-sub: 1.0ms (16.1% of total)
ival-add: 1.0ms (16.1% of total)
ival-sqrt: 1.0ms (16.1% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

simplify16.0ms (0.1%)

Algorithm
1×egg-herbie
Rules
36×*-commutative_binary64
16×+-commutative_binary64
6×if-if-or-not_binary32
4×sub-neg_binary64
2×1-exp_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0115337
1153337
2156337
3161337
Stop Event
1×saturated
Calls
Call 1
Inputs
(*.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 8070450532247929/72057594037927936 binary64)) (*.f64 (sqrt.f64 x) (+.f64 (*.f64 #s(literal 3 binary64) y) (/.f64 #s(literal 1/3 binary64) x))) (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 y #s(literal 1 binary64))))
(if (<=.f64 y #s(literal -700000 binary64)) (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 y #s(literal 1 binary64))) (if (<=.f64 y #s(literal 17499999999999999820215353344 binary64)) (*.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 x #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 -1200000 binary64)) (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 y #s(literal 1 binary64))) (if (<=.f64 y #s(literal 400000000000000019058917376 binary64)) (/.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -3 binary64))) (sqrt.f64 x)) (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 y #s(literal 1 binary64)))))
(if (<=.f64 y #s(literal -5400 binary64)) (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 y #s(literal 1 binary64))) (if (<=.f64 y #s(literal 41999999999999995768604662431744 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 -490000 binary64)) (*.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) (+.f64 y #s(literal -1 binary64)))) (if (<=.f64 y #s(literal 1049999999999999972720246784 binary64)) (*.f64 (sqrt.f64 x) (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64))) (/.f64 y (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)))))
(if (<=.f64 x #s(literal 5399988732876221/20769187434139310514121985316880384 binary64)) (/.f64 (sqrt.f64 x) (*.f64 x #s(literal 3 binary64))) (*.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) (+.f64 y #s(literal -1 binary64)))))
(if (<=.f64 y #s(literal -1000 binary64)) (*.f64 #s(literal 3 binary64) (*.f64 (sqrt.f64 x) y)) (if (<=.f64 y #s(literal -4927549738046179/518689446110124119814050982961395143876555779030304612499457166211331601426613518299963381118387974286024735826412598647799393884426471913485859354264245460882647725425188690460672 binary64)) (*.f64 (*.f64 x #s(literal -3 binary64)) (pow.f64 x #s(literal -1/2 binary64))) (if (<=.f64 y #s(literal -1600323463891165/1667003608219963568519962947680314449286189580578977040099064452941009309454408017880358050217888572685732477648358310111472200413529841270090839013082707511523789394878503639615769571477953506182241254033971650495422687009369115322790969344 binary64)) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (if (<=.f64 y #s(literal 8366472148284181/214524926879081553593184399971293538039669853129478294043576983099548224481176751628829988770670454843040509730983776813660062124991145119142938384097345536 binary64)) (*.f64 (sqrt.f64 x) #s(literal -3 binary64)) (if (<=.f64 y #s(literal 64999999999999997592253088672493076480 binary64)) (/.f64 (sqrt.f64 x) (*.f64 x #s(literal 3 binary64))) (*.f64 #s(literal 3 binary64) (*.f64 (sqrt.f64 x) y)))))))
(if (<=.f64 y #s(literal -1000 binary64)) (*.f64 #s(literal 3 binary64) (*.f64 (sqrt.f64 x) y)) (if (<=.f64 y #s(literal -5446239184156303/64836180763765514976756372870174392984569472378788076562432145776416450178326689787495422639798496785753091978301574830974924235553308989185732419283030682610330965678148586307584 binary64)) (*.f64 (sqrt.f64 x) #s(literal -3 binary64)) (if (<=.f64 y #s(literal -7468176164825437/26672057731519417096319407162885031188579033289263632641585031247056148951270528286085728803486217162971719642373732961783555206616477460321453424209323320184380630318056058233852313143647256098915860064543546407926762992149905845164655509504 binary64)) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (if (<=.f64 y #s(literal 1367596408854145/26815615859885194199148049996411692254958731641184786755447122887443528060147093953603748596333806855380063716372972101707507765623893139892867298012168192 binary64)) (*.f64 (sqrt.f64 x) #s(literal -3 binary64)) (if (<=.f64 y #s(literal 12999999999999999518450617734498615296 binary64)) (/.f64 (sqrt.f64 x) (*.f64 x #s(literal 3 binary64))) (*.f64 #s(literal 3 binary64) (*.f64 (sqrt.f64 x) y)))))))
(if (<=.f64 y #s(literal -1000 binary64)) (*.f64 #s(literal 3 binary64) (*.f64 (sqrt.f64 x) y)) (if (<=.f64 y #s(literal -7701500895843123/33196124551047943668099262909529289208099569857939495199965258637525222491303265171197656391576830354305583092890406313459161208603294202463094998672911709496489454427212076189483008 binary64)) (*.f64 (sqrt.f64 x) #s(literal -3 binary64)) (if (<=.f64 y #s(literal -8668418762743811/1667003608219963568519962947680314449286189580578977040099064452941009309454408017880358050217888572685732477648358310111472200413529841270090839013082707511523789394878503639615769571477953506182241254033971650495422687009369115322790969344 binary64)) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (if (<=.f64 y #s(literal 4505023464460713/214524926879081553593184399971293538039669853129478294043576983099548224481176751628829988770670454843040509730983776813660062124991145119142938384097345536 binary64)) (*.f64 (sqrt.f64 x) #s(literal -3 binary64)) (if (<=.f64 y #s(literal 25999999999999999036901235468997230592 binary64)) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (*.f64 #s(literal 3 binary64) (*.f64 (sqrt.f64 x) y)))))))
(if (<=.f64 x #s(literal 8070450532247929/72057594037927936 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 (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))))
(*.f64 (sqrt.f64 x) (+.f64 (*.f64 y #s(literal 3 binary64)) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))))
(if (<=.f64 x #s(literal 8070450532247929/72057594037927936 binary64)) (*.f64 (sqrt.f64 x) (+.f64 (*.f64 #s(literal 3 binary64) y) (/.f64 #s(literal 1/3 binary64) x))) (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 y #s(literal 1 binary64))))
(if (<=.f64 x #s(literal 8070450532247929/72057594037927936 binary64)) (*.f64 (sqrt.f64 x) (+.f64 (*.f64 y #s(literal 3 binary64)) (/.f64 #s(literal 1/3 binary64) x))) (*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) (+.f64 y #s(literal -1 binary64))))
(if (<=.f64 y #s(literal -700000 binary64)) (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 y #s(literal 1 binary64))) (if (<=.f64 y #s(literal 17499999999999999820215353344 binary64)) (*.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 x #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 -700000 binary64)) (*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) (+.f64 y #s(literal -1 binary64))) (if (<=.f64 y #s(literal 17499999999999999820215353344 binary64)) (*.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -3 binary64))) (pow.f64 x #s(literal -1/2 binary64))) (*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) (+.f64 y #s(literal -1 binary64)))))
(if (<=.f64 y #s(literal -1200000 binary64)) (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 y #s(literal 1 binary64))) (if (<=.f64 y #s(literal 400000000000000019058917376 binary64)) (/.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -3 binary64))) (sqrt.f64 x)) (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 y #s(literal 1 binary64)))))
(if (<=.f64 y #s(literal -1200000 binary64)) (*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) (+.f64 y #s(literal -1 binary64))) (if (<=.f64 y #s(literal 400000000000000019058917376 binary64)) (/.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -3 binary64))) (sqrt.f64 x)) (*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) (+.f64 y #s(literal -1 binary64)))))
(if (<=.f64 y #s(literal -5400 binary64)) (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 y #s(literal 1 binary64))) (if (<=.f64 y #s(literal 41999999999999995768604662431744 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 -5400 binary64)) (*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) (+.f64 y #s(literal -1 binary64))) (if (<=.f64 y #s(literal 41999999999999995768604662431744 binary64)) (*.f64 (sqrt.f64 x) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))) (*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) (+.f64 y #s(literal -1 binary64)))))
(if (<=.f64 y #s(literal -490000 binary64)) (*.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) (+.f64 y #s(literal -1 binary64)))) (if (<=.f64 y #s(literal 1049999999999999972720246784 binary64)) (*.f64 (sqrt.f64 x) (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64))) (/.f64 y (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)))))
(if (<=.f64 y #s(literal -490000 binary64)) (*.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) (+.f64 y #s(literal -1 binary64)))) (if (<=.f64 y #s(literal 1049999999999999972720246784 binary64)) (*.f64 (sqrt.f64 x) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))) (/.f64 y (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)))))
(if (<=.f64 x #s(literal 5399988732876221/20769187434139310514121985316880384 binary64)) (/.f64 (sqrt.f64 x) (*.f64 x #s(literal 3 binary64))) (*.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) (+.f64 y #s(literal -1 binary64)))))
(if (<=.f64 y #s(literal -1000 binary64)) (*.f64 #s(literal 3 binary64) (*.f64 (sqrt.f64 x) y)) (if (<=.f64 y #s(literal -4927549738046179/518689446110124119814050982961395143876555779030304612499457166211331601426613518299963381118387974286024735826412598647799393884426471913485859354264245460882647725425188690460672 binary64)) (*.f64 (*.f64 x #s(literal -3 binary64)) (pow.f64 x #s(literal -1/2 binary64))) (if (<=.f64 y #s(literal -1600323463891165/1667003608219963568519962947680314449286189580578977040099064452941009309454408017880358050217888572685732477648358310111472200413529841270090839013082707511523789394878503639615769571477953506182241254033971650495422687009369115322790969344 binary64)) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (if (<=.f64 y #s(literal 8366472148284181/214524926879081553593184399971293538039669853129478294043576983099548224481176751628829988770670454843040509730983776813660062124991145119142938384097345536 binary64)) (*.f64 (sqrt.f64 x) #s(literal -3 binary64)) (if (<=.f64 y #s(literal 64999999999999997592253088672493076480 binary64)) (/.f64 (sqrt.f64 x) (*.f64 x #s(literal 3 binary64))) (*.f64 #s(literal 3 binary64) (*.f64 (sqrt.f64 x) y)))))))
(if (<=.f64 y #s(literal -1000 binary64)) (*.f64 #s(literal 3 binary64) (*.f64 (sqrt.f64 x) y)) (if (<=.f64 y #s(literal -5446239184156303/64836180763765514976756372870174392984569472378788076562432145776416450178326689787495422639798496785753091978301574830974924235553308989185732419283030682610330965678148586307584 binary64)) (*.f64 (sqrt.f64 x) #s(literal -3 binary64)) (if (<=.f64 y #s(literal -7468176164825437/26672057731519417096319407162885031188579033289263632641585031247056148951270528286085728803486217162971719642373732961783555206616477460321453424209323320184380630318056058233852313143647256098915860064543546407926762992149905845164655509504 binary64)) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (if (<=.f64 y #s(literal 1367596408854145/26815615859885194199148049996411692254958731641184786755447122887443528060147093953603748596333806855380063716372972101707507765623893139892867298012168192 binary64)) (*.f64 (sqrt.f64 x) #s(literal -3 binary64)) (if (<=.f64 y #s(literal 12999999999999999518450617734498615296 binary64)) (/.f64 (sqrt.f64 x) (*.f64 x #s(literal 3 binary64))) (*.f64 #s(literal 3 binary64) (*.f64 (sqrt.f64 x) y)))))))
(if (<=.f64 y #s(literal -1000 binary64)) (*.f64 #s(literal 3 binary64) (*.f64 (sqrt.f64 x) y)) (if (<=.f64 y #s(literal -7701500895843123/33196124551047943668099262909529289208099569857939495199965258637525222491303265171197656391576830354305583092890406313459161208603294202463094998672911709496489454427212076189483008 binary64)) (*.f64 (sqrt.f64 x) #s(literal -3 binary64)) (if (<=.f64 y #s(literal -8668418762743811/1667003608219963568519962947680314449286189580578977040099064452941009309454408017880358050217888572685732477648358310111472200413529841270090839013082707511523789394878503639615769571477953506182241254033971650495422687009369115322790969344 binary64)) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (if (<=.f64 y #s(literal 4505023464460713/214524926879081553593184399971293538039669853129478294043576983099548224481176751628829988770670454843040509730983776813660062124991145119142938384097345536 binary64)) (*.f64 (sqrt.f64 x) #s(literal -3 binary64)) (if (<=.f64 y #s(literal 25999999999999999036901235468997230592 binary64)) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (*.f64 #s(literal 3 binary64) (*.f64 (sqrt.f64 x) y)))))))
(if (<=.f64 x #s(literal 8070450532247929/72057594037927936 binary64)) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (*.f64 (sqrt.f64 x) #s(literal -3 binary64)))
(*.f64 (sqrt.f64 x) #s(literal -3 binary64))

soundness3.3s (28.2%)

Rules
4886×*-lowering-*.f32
4886×*-lowering-*.f64
4876×*-lowering-*.f32
4876×*-lowering-*.f64
4414×*-lowering-*.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
031104
118695
2156593
0907093
01213
12811
27211
320011
442611
561311
6126611
7288511
8603211
9766011
10784711
11787711
12787811
13787811
0822211
01959
111255
2107455
0827855
040156
1240128
22215128
09348128
02972313
19302105
229712053
081752053
03302827
111132561
237752505
083572505
05103844
116933378
262973359
081233359
029116
1172104
2133297
0828697
01211167
13561131
211681095
341391089
083091089
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 866 to 526 computations (39.3% saved)

preprocess81.0ms (0.7%)

Compiler

Compiled 790 to 274 computations (65.3% saved)

end0.0ms (0%)

Profiling

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