Diagrams.Trail:splitAtParam from diagrams-lib-1.3.0.3, D

Time bar (total: 8.2s)

analyze19.0ms (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
0%0%99.9%0.1%0%0%0%2
50%50%50%0.1%0%0%0%3
50%50%50%0.1%0%0%0%4
75%74.9%25%0.1%0%0%0%5
75%74.9%25%0.1%0%0%0%6
87.5%87.4%12.5%0.1%0%0%0%7
87.5%87.4%12.5%0.1%0%0%0%8
93.8%93.7%6.2%0.1%0%0%0%9
93.8%93.7%6.2%0.1%0%0%0%10
96.9%96.8%3.1%0.1%0%0%0%11
96.9%96.8%3.1%0.1%0%0%0%12
Compiler

Compiled 14 to 9 computations (35.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 7.0ms
ival-sub: 2.0ms (29.3% of total)
ival-mult: 2.0ms (29.3% of total)
ival-div: 1.0ms (14.6% of total)
ival-add: 1.0ms (14.6% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

sample1.1s (13.3%)

Results
451.0ms6240×0valid
346.0ms1875×1valid
27.0ms141×2valid
Precisions
Click to see histograms. Total time spent on operations: 470.0ms
ival-sub: 160.0ms (34.1% of total)
ival-mult: 105.0ms (22.4% of total)
ival-div: 89.0ms (18.9% of total)
ival-add: 72.0ms (15.3% of total)
backward-pass: 31.0ms (6.6% of total)
const: 12.0ms (2.6% of total)
Bogosity

preprocess170.0ms (2.1%)

Algorithm
2×egg-herbie
Rules
2018×fnmadd-define
1750×fnmadd-define
1390×times-frac
1344×fmsub-define
1344×sum5-define
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02572
16468
220062
366160
4243560
5772460
0811
11811
24310
312510
441010
5126810
6405510
7577510
8644710
9649710
0649710
Stop Event
1×iter limit
1×saturated
1×node limit
Calls
Call 1
Inputs
(- 1 (/ (* (- 1 x) y) (+ y 1)))
Outputs
(- 1 (/ (* (- 1 x) y) (+ y 1)))
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (-.f64 #s(literal -1 binary64) y)))
Call 2
Inputs
(- 1 (/ (* (- 1 x) y) (+ y 1)))
(- 1 (/ (* (- 1 (neg x)) y) (+ y 1)))
(- 1 (/ (* (- 1 x) (neg y)) (+ (neg y) 1)))
(neg (- 1 (/ (* (- 1 (neg x)) y) (+ y 1))))
(neg (- 1 (/ (* (- 1 x) (neg y)) (+ (neg y) 1))))
(- 1 (/ (* (- 1 y) x) (+ x 1)))
Outputs
(- 1 (/ (* (- 1 x) y) (+ y 1)))
(fma (- 1 x) (/ y (- -1 y)) 1)
(- 1 (/ (* (- 1 (neg x)) y) (+ y 1)))
(fnmsub (+ 1 x) (/ y (+ 1 y)) -1)
(- 1 (/ (* (- 1 x) (neg y)) (+ (neg y) 1)))
(fnmsub (/ y (- 1 y)) (+ x -1) -1)
(neg (- 1 (/ (* (- 1 (neg x)) y) (+ y 1))))
(fnmsub (+ 1 x) (/ y (- -1 y)) 1)
(neg (- 1 (/ (* (- 1 x) (neg y)) (+ (neg y) 1))))
(fnmsub (- 1 x) (/ y (- 1 y)) 1)
(- 1 (/ (* (- 1 y) x) (+ x 1)))
(fma (- 1 y) (/ x (- -1 x)) 1)

explain199.0ms (2.4%)

FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
571(-0.005951032165800294 -2.1738926965832274e+97)0-(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64))))
370-0-(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64)))
00-0-x
00-0-#s(literal 1 binary64)
00-0-(*.f64 (-.f64 #s(literal 1 binary64) x) y)
00-0-(-.f64 #s(literal 1 binary64) x)
00-0-y
00-0-(+.f64 y #s(literal 1 binary64))
Results
48.0ms94×1valid
31.0ms400×0valid
4.0ms18×2valid
Compiler

Compiled 87 to 26 computations (70.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 56.0ms
ival-div: 37.0ms (65.8% of total)
ival-sub: 7.0ms (12.4% of total)
ival-mult: 5.0ms (8.9% of total)
backward-pass: 3.0ms (5.3% of total)
ival-add: 3.0ms (5.3% of total)
const: 1.0ms (1.8% of total)

eval0.0ms (0%)

Compiler

Compiled 13 to 9 computations (30.8% saved)

prune1.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
▶65.8%
(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64))))
Compiler

Compiled 13 to 8 computations (38.5% saved)

simplify128.0ms (1.6%)

Algorithm
1×egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(-.f64 #s(literal 1 binary64) x)
✓cost-diff0
(*.f64 (-.f64 #s(literal 1 binary64) x) y)
✓cost-diff0
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64)))
✓cost-diff0
(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64))))
Rules
1750×fnmadd-define
1344×fmsub-define
1314×fnmsub-define
1146×fma-define
1080×fmm-def
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
0834
11834
24333
312531
441031
5126831
6405531
7577531
8644731
9649731
0649731
Stop Event
1×iter limit
1×saturated
Calls
Call 1
Inputs
(- 1 (/ (* (- 1 x) y) (+ y 1)))
1
(/ (* (- 1 x) y) (+ y 1))
(* (- 1 x) y)
(- 1 x)
x
y
(+ y 1)
Outputs
(- 1 (/ (* (- 1 x) y) (+ y 1)))
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (-.f64 #s(literal -1 binary64) y)))
1
#s(literal 1 binary64)
(/ (* (- 1 x) y) (+ y 1))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 #s(literal 1 binary64) y))
(* (- 1 x) y)
(*.f64 (-.f64 #s(literal 1 binary64) x) y)
(- 1 x)
(-.f64 #s(literal 1 binary64) x)
x
y
(+ y 1)
(+.f64 #s(literal 1 binary64) y)

localize49.0ms (0.6%)

Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(+.f64 y #s(literal 1 binary64))
✓accuracy100.0%
(*.f64 (-.f64 #s(literal 1 binary64) x) y)
✓accuracy86.6%
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64)))
✓accuracy79.3%
(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64))))
Results
21.0ms47×1valid
15.0ms200×0valid
2.0ms9×2valid
Compiler

Compiled 37 to 9 computations (75.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 12.0ms
ival-sub: 4.0ms (34.3% of total)
ival-div: 2.0ms (17.1% of total)
ival-mult: 2.0ms (17.1% of total)
ival-add: 2.0ms (17.1% of total)
backward-pass: 1.0ms (8.6% of total)
const: 0.0ms (0% of total)

series18.0ms (0.2%)

Counts
5 → 96
Calls
Call 1
Inputs
#<alt (- 1 (/ (* (- 1 x) y) (+ y 1)))>
#<alt (/ (* (- 1 x) y) (+ y 1))>
#<alt (* (- 1 x) y)>
#<alt (- 1 x)>
#<alt (+ y 1)>
Outputs
#<alt (- 1 (/ y (+ 1 y)))>
#<alt (- (+ 1 (/ (* x y) (+ 1 y))) (/ y (+ 1 y)))>
#<alt (- (+ 1 (/ (* x y) (+ 1 y))) (/ y (+ 1 y)))>
#<alt (- (+ 1 (/ (* x y) (+ 1 y))) (/ y (+ 1 y)))>
#<alt (/ (* x y) (+ 1 y))>
#<alt (* x (- (/ 1 x) (+ (* -1 (/ y (+ 1 y))) (/ y (* x (+ 1 y))))))>
#<alt (* x (- (/ 1 x) (+ (* -1 (/ y (+ 1 y))) (/ y (* x (+ 1 y))))))>
#<alt (* x (- (/ 1 x) (+ (* -1 (/ y (+ 1 y))) (/ y (* x (+ 1 y))))))>
#<alt (/ (* x y) (+ 1 y))>
#<alt (* -1 (* x (- (* -1 (/ (- 1 (/ y (+ 1 y))) x)) (/ y (+ 1 y)))))>
#<alt (* -1 (* x (- (* -1 (/ (- 1 (/ y (+ 1 y))) x)) (/ y (+ 1 y)))))>
#<alt (* -1 (* x (- (* -1 (/ (- 1 (/ y (+ 1 y))) x)) (/ y (+ 1 y)))))>
#<alt 1>
#<alt (+ 1 (* y (- x 1)))>
#<alt (+ 1 (* y (- (+ x (* y (- 1 x))) 1)))>
#<alt (+ 1 (* y (- (+ x (* y (- (+ 1 (* y (- x 1))) x))) 1)))>
#<alt x>
#<alt (- (+ x (/ 1 y)) (/ x y))>
#<alt (- (+ x (+ (* -1 (/ (+ 1 (* -1 x)) (pow y 2))) (/ 1 y))) (/ x y))>
#<alt (- (+ x (+ (/ 1 y) (/ 1 (pow y 3)))) (+ (* -1 (/ x (pow y 2))) (+ (/ 1 (pow y 2)) (+ (/ x y) (/ x (pow y 3))))))>
#<alt x>
#<alt (+ x (* -1 (/ (- x 1) y)))>
#<alt (+ x (* -1 (/ (- (* -1 (/ (- x 1) y)) (* -1 (- x 1))) y)))>
#<alt (+ x (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- x 1) y)) (* -1 (- x 1))) y)) (* -1 (- x 1))) y)))>
#<alt (/ y (+ 1 y))>
#<alt (+ (* -1 (/ (* x y) (+ 1 y))) (/ y (+ 1 y)))>
#<alt (+ (* -1 (/ (* x y) (+ 1 y))) (/ y (+ 1 y)))>
#<alt (+ (* -1 (/ (* x y) (+ 1 y))) (/ y (+ 1 y)))>
#<alt (* -1 (/ (* x y) (+ 1 y)))>
#<alt (* x (+ (* -1 (/ y (+ 1 y))) (/ y (* x (+ 1 y)))))>
#<alt (* x (+ (* -1 (/ y (+ 1 y))) (/ y (* x (+ 1 y)))))>
#<alt (* x (+ (* -1 (/ y (+ 1 y))) (/ y (* x (+ 1 y)))))>
#<alt (* -1 (/ (* x y) (+ 1 y)))>
#<alt (* -1 (* x (+ (* -1 (/ y (* x (+ 1 y)))) (/ y (+ 1 y)))))>
#<alt (* -1 (* x (+ (* -1 (/ y (* x (+ 1 y)))) (/ y (+ 1 y)))))>
#<alt (* -1 (* x (+ (* -1 (/ y (* x (+ 1 y)))) (/ y (+ 1 y)))))>
#<alt (* y (- 1 x))>
#<alt (* y (- (+ 1 (* y (- x 1))) x))>
#<alt (* y (- (+ 1 (* y (- (+ x (* y (- 1 x))) 1))) x))>
#<alt (* y (- (+ 1 (* y (- (+ x (* y (- (+ 1 (* y (- x 1))) x))) 1))) x))>
#<alt (- 1 x)>
#<alt (- (+ 1 (/ x y)) (+ x (/ 1 y)))>
#<alt (- (+ 1 (+ (/ 1 (pow y 2)) (/ x y))) (+ x (+ (/ 1 y) (/ x (pow y 2)))))>
#<alt (- (+ 1 (+ (/ 1 (pow y 2)) (+ (/ x y) (/ x (pow y 3))))) (+ x (+ (/ 1 y) (+ (/ 1 (pow y 3)) (/ x (pow y 2))))))>
#<alt (- 1 x)>
#<alt (- (+ 1 (/ x y)) (+ x (/ 1 y)))>
#<alt (- (+ 1 (* -1 (/ (- (+ (* -1 (- x 1)) (/ x y)) (/ 1 y)) y))) x)>
#<alt (- (+ 1 (* -1 (/ (+ (* -1 (- x 1)) (* -1 (/ (- (+ (* -1 (- x 1)) (/ x y)) (/ 1 y)) y))) y))) x)>
#<alt y>
#<alt (+ y (* -1 (* x y)))>
#<alt (+ y (* -1 (* x y)))>
#<alt (+ y (* -1 (* x y)))>
#<alt (* -1 (* x y))>
#<alt (* x (+ (* -1 y) (/ y x)))>
#<alt (* x (+ (* -1 y) (/ y x)))>
#<alt (* x (+ (* -1 y) (/ y x)))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x (+ y (* -1 (/ y x)))))>
#<alt (* -1 (* x (+ y (* -1 (/ y x)))))>
#<alt (* -1 (* x (+ y (* -1 (/ y x)))))>
#<alt (* y (- 1 x))>
#<alt (* y (- 1 x))>
#<alt (* y (- 1 x))>
#<alt (* y (- 1 x))>
#<alt (* y (- 1 x))>
#<alt (* y (- 1 x))>
#<alt (* y (- 1 x))>
#<alt (* y (- 1 x))>
#<alt (* y (- 1 x))>
#<alt (* y (- 1 x))>
#<alt (* y (- 1 x))>
#<alt (* y (- 1 x))>
#<alt 1>
#<alt (+ 1 (* -1 x))>
#<alt (+ 1 (* -1 x))>
#<alt (+ 1 (* -1 x))>
#<alt (* -1 x)>
#<alt (* x (- (/ 1 x) 1))>
#<alt (* x (- (/ 1 x) 1))>
#<alt (* x (- (/ 1 x) 1))>
#<alt (* -1 x)>
#<alt (* -1 (* x (- 1 (/ 1 x))))>
#<alt (* -1 (* x (- 1 (/ 1 x))))>
#<alt (* -1 (* x (- 1 (/ 1 x))))>
#<alt 1>
#<alt (+ 1 y)>
#<alt (+ 1 y)>
#<alt (+ 1 y)>
#<alt y>
#<alt (* y (+ 1 (/ 1 y)))>
#<alt (* y (+ 1 (/ 1 y)))>
#<alt (* y (+ 1 (/ 1 y)))>
#<alt y>
#<alt (* y (+ 1 (/ 1 y)))>
#<alt (* y (+ 1 (/ 1 y)))>
#<alt (* y (+ 1 (/ 1 y)))>
Calls

24 calls:

TimeVariablePointExpression
1.0ms
x
@inf
(- 1 (/ (* (- 1 x) y) (+ y 1)))
1.0ms
y
@inf
(* (- 1 x) y)
1.0ms
x
@0
(- 1 (/ (* (- 1 x) y) (+ y 1)))
1.0ms
y
@0
(- 1 (/ (* (- 1 x) y) (+ y 1)))
0.0ms
x
@-inf
(- 1 (/ (* (- 1 x) y) (+ y 1)))

rewrite343.0ms (4.2%)

Algorithm
1×batch-egg-rewrite
Rules
4842×*-lowering-*.f32
4842×*-lowering-*.f64
3810×/-lowering-/.f32
3810×/-lowering-/.f64
1356×+-lowering-+.f64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0831
15831
253730
0883530
Stop Event
1×iter limit
1×node limit
Counts
5 → 386
Calls
Call 1
Inputs
(- 1 (/ (* (- 1 x) y) (+ y 1)))
(/ (* (- 1 x) y) (+ y 1))
(* (- 1 x) y)
(- 1 x)
(+ y 1)
Outputs
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (-.f64 #s(literal -1 binary64) y)))
(+.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (-.f64 #s(literal -1 binary64) y)) #s(literal 1 binary64))
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (-.f64 #s(literal -1 binary64) y)) #s(literal -1 binary64)) (/.f64 (-.f64 #s(literal -1 binary64) y) (*.f64 (-.f64 #s(literal 1 binary64) x) y))))) (neg.f64 (/.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (+.f64 #s(literal 1 binary64) y) y)) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) y) (*.f64 (-.f64 #s(literal 1 binary64) x) y)) (/.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (+.f64 #s(literal 1 binary64) y) y)))) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (-.f64 #s(literal -1 binary64) y)) #s(literal -1 binary64)) (/.f64 (-.f64 #s(literal -1 binary64) y) (*.f64 (-.f64 #s(literal 1 binary64) x) y)))))))
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (+.f64 #s(literal 1 binary64) y) y)))) (neg.f64 (/.f64 (/.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (*.f64 (-.f64 #s(literal 1 binary64) x) y)) (*.f64 (+.f64 #s(literal 1 binary64) y) (+.f64 #s(literal 1 binary64) y))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (+.f64 #s(literal 1 binary64) y) y))))))
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (+.f64 #s(literal 1 binary64) y) y)))
(-.f64 #s(literal 0 binary64) (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (+.f64 #s(literal 1 binary64) y) y)) #s(literal 1 binary64)))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (-.f64 #s(literal -1 binary64) y)) #s(literal -1 binary64)) (/.f64 (-.f64 #s(literal -1 binary64) y) (*.f64 (-.f64 #s(literal 1 binary64) x) y))))) (/.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (+.f64 #s(literal 1 binary64) y) y)) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) y) (*.f64 (-.f64 #s(literal 1 binary64) x) y)) (/.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (+.f64 #s(literal 1 binary64) y) y)))) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (-.f64 #s(literal -1 binary64) y)) #s(literal -1 binary64)) (/.f64 (-.f64 #s(literal -1 binary64) y) (*.f64 (-.f64 #s(literal 1 binary64) x) y))))))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (+.f64 #s(literal 1 binary64) y) y)))) (/.f64 (/.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (*.f64 (-.f64 #s(literal 1 binary64) x) y)) (*.f64 (+.f64 #s(literal 1 binary64) y) (+.f64 #s(literal 1 binary64) y))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (+.f64 #s(literal 1 binary64) y) y)))))
(fma.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 y (-.f64 #s(literal -1 binary64) y)) #s(literal 1 binary64))
(fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) y)) #s(literal 1 binary64))
(fma.f64 (-.f64 #s(literal 0 binary64) (*.f64 (-.f64 #s(literal 1 binary64) x) y)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64))
(fma.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (+.f64 #s(literal 1 binary64) y) y)) #s(literal 1 binary64))
(fma.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) x)) (/.f64 y (+.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64))
(neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (*.f64 (-.f64 #s(literal 1 binary64) x) y))) (*.f64 (-.f64 #s(literal -1 binary64) y) (*.f64 (+.f64 #s(literal 1 binary64) y) (+.f64 #s(literal 1 binary64) y))))) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (-.f64 #s(literal -1 binary64) y)) #s(literal -1 binary64)) (/.f64 (-.f64 #s(literal -1 binary64) y) (*.f64 (-.f64 #s(literal 1 binary64) x) y)))))))
(neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (/.f64 (-.f64 #s(literal -1 binary64) y) (/.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (+.f64 #s(literal 1 binary64) y) y))))) (+.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (-.f64 #s(literal -1 binary64) y)) #s(literal -1 binary64))))
(neg.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (+.f64 #s(literal 1 binary64) y) y)) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) y) (*.f64 (-.f64 #s(literal 1 binary64) x) y)) (/.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (+.f64 #s(literal 1 binary64) y) y))))) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (-.f64 #s(literal -1 binary64) y)) #s(literal -1 binary64)) (/.f64 (-.f64 #s(literal -1 binary64) y) (*.f64 (-.f64 #s(literal 1 binary64) x) y))))))
(neg.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (*.f64 (-.f64 #s(literal 1 binary64) x) y)) (*.f64 (+.f64 #s(literal 1 binary64) y) (+.f64 #s(literal 1 binary64) y)))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (+.f64 #s(literal 1 binary64) y) y)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (-.f64 #s(literal -1 binary64) y)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (-.f64 #s(literal -1 binary64) y)))) #s(literal 1 binary64)))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (*.f64 (-.f64 #s(literal 1 binary64) x) y))) (*.f64 (-.f64 #s(literal -1 binary64) y) (*.f64 (+.f64 #s(literal 1 binary64) y) (+.f64 #s(literal 1 binary64) y))))) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (-.f64 #s(literal -1 binary64) y)) #s(literal -1 binary64)) (/.f64 (-.f64 #s(literal -1 binary64) y) (*.f64 (-.f64 #s(literal 1 binary64) x) y)))))
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(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal -1 binary64) y) (+.f64 y #s(literal -1 binary64)))) (+.f64 y #s(literal -1 binary64)))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal -1 binary64) y) (+.f64 y #s(literal -1 binary64)))) (neg.f64 (+.f64 (-.f64 #s(literal 0 binary64) y) #s(literal 1 binary64))))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 y y) (+.f64 y #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64))) #s(literal 3 binary64))) (+.f64 (*.f64 (/.f64 (*.f64 y y) (+.f64 y #s(literal -1 binary64))) (/.f64 (*.f64 y y) (+.f64 y #s(literal -1 binary64)))) (+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64)))) (*.f64 (/.f64 (*.f64 y y) (+.f64 y #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64)))))))
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 y y) (+.f64 y #s(literal -1 binary64))) (/.f64 (*.f64 y y) (+.f64 y #s(literal -1 binary64)))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64))))) (+.f64 (/.f64 (*.f64 y y) (+.f64 y #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64)))))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y))) #s(literal 1 binary64)) (+.f64 (*.f64 y y) (-.f64 #s(literal 1 binary64) y)))
(/.f64 (*.f64 (+.f64 (*.f64 y y) #s(literal -1 binary64)) #s(literal 1 binary64)) (+.f64 y #s(literal -1 binary64)))
(/.f64 (*.f64 (+.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y)))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 y y) (-.f64 #s(literal 1 binary64) y)))) (+.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))) (-.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y)))))
(/.f64 (*.f64 (+.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 y y) (-.f64 #s(literal 1 binary64) y)))) (+.f64 (*.f64 y (*.f64 y y)) #s(literal -1 binary64)))
(/.f64 (*.f64 (+.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64)))) (+.f64 (*.f64 y (*.f64 y (*.f64 y y))) (+.f64 #s(literal 1 binary64) (*.f64 y y))))
(/.f64 (*.f64 (+.f64 (*.f64 y (*.f64 y (*.f64 y y))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64)))) (+.f64 (*.f64 y y) #s(literal 1 binary64)))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y))
(*.f64 (+.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))
(*.f64 (+.f64 #s(literal 1 binary64) y) (*.f64 (+.f64 y #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64)))))
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 y y) (-.f64 #s(literal 1 binary64) y))))
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 y #s(literal -1 binary64))))))
(*.f64 (+.f64 (*.f64 y y) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64))))
(*.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) y))
(*.f64 (+.f64 #s(literal -1 binary64) (neg.f64 (*.f64 y (*.f64 y y)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 y y) (-.f64 #s(literal 1 binary64) y)))))
(*.f64 (*.f64 (-.f64 #s(literal -1 binary64) y) (+.f64 y #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (-.f64 #s(literal 0 binary64) y) #s(literal 1 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64))) (+.f64 (*.f64 y y) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 y y) (-.f64 #s(literal 1 binary64) y))) (+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y))))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y)))
(*.f64 (/.f64 (+.f64 (*.f64 y y) #s(literal -1 binary64)) (+.f64 (*.f64 y y) #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) y))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (-.f64 #s(literal 1 binary64) (*.f64 y y))) (+.f64 #s(literal 1 binary64) y))
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y))) (+.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))) (*.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) y))))) (+.f64 (*.f64 y (*.f64 y (*.f64 y y))) (*.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y y)))))
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y))) (*.f64 (+.f64 (*.f64 y y) (-.f64 #s(literal 1 binary64) y)) (+.f64 (+.f64 (*.f64 y y) #s(literal -1 binary64)) y))) (+.f64 (+.f64 (*.f64 y y) #s(literal -1 binary64)) y))
(*.f64 (/.f64 (+.f64 (*.f64 y y) #s(literal -1 binary64)) (+.f64 (*.f64 y (*.f64 y y)) #s(literal -1 binary64))) (+.f64 (*.f64 y (+.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64)))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (-.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y)))) (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) y))))

simplify272.0ms (3.3%)

Algorithm
1×egg-herbie
Rules
3600×+-lowering-+.f64
3600×+-lowering-+.f32
3268×--lowering--.f32
3268×--lowering--.f64
1678×*-lowering-*.f32
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
0127803
1418715
21347639
36172637
08074637
Stop Event
1×iter limit
1×node limit
Counts
96 → 96
Calls
Call 1
Inputs
(- 1 (/ y (+ 1 y)))
(- (+ 1 (/ (* x y) (+ 1 y))) (/ y (+ 1 y)))
(- (+ 1 (/ (* x y) (+ 1 y))) (/ y (+ 1 y)))
(- (+ 1 (/ (* x y) (+ 1 y))) (/ y (+ 1 y)))
(/ (* x y) (+ 1 y))
(* x (- (/ 1 x) (+ (* -1 (/ y (+ 1 y))) (/ y (* x (+ 1 y))))))
(* x (- (/ 1 x) (+ (* -1 (/ y (+ 1 y))) (/ y (* x (+ 1 y))))))
(* x (- (/ 1 x) (+ (* -1 (/ y (+ 1 y))) (/ y (* x (+ 1 y))))))
(/ (* x y) (+ 1 y))
(* -1 (* x (- (* -1 (/ (- 1 (/ y (+ 1 y))) x)) (/ y (+ 1 y)))))
(* -1 (* x (- (* -1 (/ (- 1 (/ y (+ 1 y))) x)) (/ y (+ 1 y)))))
(* -1 (* x (- (* -1 (/ (- 1 (/ y (+ 1 y))) x)) (/ y (+ 1 y)))))
1
(+ 1 (* y (- x 1)))
(+ 1 (* y (- (+ x (* y (- 1 x))) 1)))
(+ 1 (* y (- (+ x (* y (- (+ 1 (* y (- x 1))) x))) 1)))
x
(- (+ x (/ 1 y)) (/ x y))
(- (+ x (+ (* -1 (/ (+ 1 (* -1 x)) (pow y 2))) (/ 1 y))) (/ x y))
(- (+ x (+ (/ 1 y) (/ 1 (pow y 3)))) (+ (* -1 (/ x (pow y 2))) (+ (/ 1 (pow y 2)) (+ (/ x y) (/ x (pow y 3))))))
x
(+ x (* -1 (/ (- x 1) y)))
(+ x (* -1 (/ (- (* -1 (/ (- x 1) y)) (* -1 (- x 1))) y)))
(+ x (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- x 1) y)) (* -1 (- x 1))) y)) (* -1 (- x 1))) y)))
(/ y (+ 1 y))
(+ (* -1 (/ (* x y) (+ 1 y))) (/ y (+ 1 y)))
(+ (* -1 (/ (* x y) (+ 1 y))) (/ y (+ 1 y)))
(+ (* -1 (/ (* x y) (+ 1 y))) (/ y (+ 1 y)))
(* -1 (/ (* x y) (+ 1 y)))
(* x (+ (* -1 (/ y (+ 1 y))) (/ y (* x (+ 1 y)))))
(* x (+ (* -1 (/ y (+ 1 y))) (/ y (* x (+ 1 y)))))
(* x (+ (* -1 (/ y (+ 1 y))) (/ y (* x (+ 1 y)))))
(* -1 (/ (* x y) (+ 1 y)))
(* -1 (* x (+ (* -1 (/ y (* x (+ 1 y)))) (/ y (+ 1 y)))))
(* -1 (* x (+ (* -1 (/ y (* x (+ 1 y)))) (/ y (+ 1 y)))))
(* -1 (* x (+ (* -1 (/ y (* x (+ 1 y)))) (/ y (+ 1 y)))))
(* y (- 1 x))
(* y (- (+ 1 (* y (- x 1))) x))
(* y (- (+ 1 (* y (- (+ x (* y (- 1 x))) 1))) x))
(* y (- (+ 1 (* y (- (+ x (* y (- (+ 1 (* y (- x 1))) x))) 1))) x))
(- 1 x)
(- (+ 1 (/ x y)) (+ x (/ 1 y)))
(- (+ 1 (+ (/ 1 (pow y 2)) (/ x y))) (+ x (+ (/ 1 y) (/ x (pow y 2)))))
(- (+ 1 (+ (/ 1 (pow y 2)) (+ (/ x y) (/ x (pow y 3))))) (+ x (+ (/ 1 y) (+ (/ 1 (pow y 3)) (/ x (pow y 2))))))
(- 1 x)
(- (+ 1 (/ x y)) (+ x (/ 1 y)))
(- (+ 1 (* -1 (/ (- (+ (* -1 (- x 1)) (/ x y)) (/ 1 y)) y))) x)
(- (+ 1 (* -1 (/ (+ (* -1 (- x 1)) (* -1 (/ (- (+ (* -1 (- x 1)) (/ x y)) (/ 1 y)) y))) y))) x)
y
(+ y (* -1 (* x y)))
(+ y (* -1 (* x y)))
(+ y (* -1 (* x y)))
(* -1 (* x y))
(* x (+ (* -1 y) (/ y x)))
(* x (+ (* -1 y) (/ y x)))
(* x (+ (* -1 y) (/ y x)))
(* -1 (* x y))
(* -1 (* x (+ y (* -1 (/ y x)))))
(* -1 (* x (+ y (* -1 (/ y x)))))
(* -1 (* x (+ y (* -1 (/ y x)))))
(* y (- 1 x))
(* y (- 1 x))
(* y (- 1 x))
(* y (- 1 x))
(* y (- 1 x))
(* y (- 1 x))
(* y (- 1 x))
(* y (- 1 x))
(* y (- 1 x))
(* y (- 1 x))
(* y (- 1 x))
(* y (- 1 x))
1
(+ 1 (* -1 x))
(+ 1 (* -1 x))
(+ 1 (* -1 x))
(* -1 x)
(* x (- (/ 1 x) 1))
(* x (- (/ 1 x) 1))
(* x (- (/ 1 x) 1))
(* -1 x)
(* -1 (* x (- 1 (/ 1 x))))
(* -1 (* x (- 1 (/ 1 x))))
(* -1 (* x (- 1 (/ 1 x))))
1
(+ 1 y)
(+ 1 y)
(+ 1 y)
y
(* y (+ 1 (/ 1 y)))
(* y (+ 1 (/ 1 y)))
(* y (+ 1 (/ 1 y)))
y
(* y (+ 1 (/ 1 y)))
(* y (+ 1 (/ 1 y)))
(* y (+ 1 (/ 1 y)))
Outputs
(- 1 (/ y (+ 1 y)))
(+.f64 #s(literal 1 binary64) (/.f64 y (-.f64 #s(literal -1 binary64) y)))
(- (+ 1 (/ (* x y) (+ 1 y))) (/ y (+ 1 y)))
(+.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y))) (+.f64 x #s(literal -1 binary64))))
(- (+ 1 (/ (* x y) (+ 1 y))) (/ y (+ 1 y)))
(+.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y))) (+.f64 x #s(literal -1 binary64))))
(- (+ 1 (/ (* x y) (+ 1 y))) (/ y (+ 1 y)))
(+.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y))) (+.f64 x #s(literal -1 binary64))))
(/ (* x y) (+ 1 y))
(/.f64 (*.f64 y x) (+.f64 #s(literal 1 binary64) y))
(* x (- (/ 1 x) (+ (* -1 (/ y (+ 1 y))) (/ y (* x (+ 1 y))))))
(+.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y))) (+.f64 x #s(literal -1 binary64))))
(* x (- (/ 1 x) (+ (* -1 (/ y (+ 1 y))) (/ y (* x (+ 1 y))))))
(+.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y))) (+.f64 x #s(literal -1 binary64))))
(* x (- (/ 1 x) (+ (* -1 (/ y (+ 1 y))) (/ y (* x (+ 1 y))))))
(+.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y))) (+.f64 x #s(literal -1 binary64))))
(/ (* x y) (+ 1 y))
(/.f64 (*.f64 y x) (+.f64 #s(literal 1 binary64) y))
(* -1 (* x (- (* -1 (/ (- 1 (/ y (+ 1 y))) x)) (/ y (+ 1 y)))))
(+.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y))) (+.f64 x #s(literal -1 binary64))))
(* -1 (* x (- (* -1 (/ (- 1 (/ y (+ 1 y))) x)) (/ y (+ 1 y)))))
(+.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y))) (+.f64 x #s(literal -1 binary64))))
(* -1 (* x (- (* -1 (/ (- 1 (/ y (+ 1 y))) x)) (/ y (+ 1 y)))))
(+.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y))) (+.f64 x #s(literal -1 binary64))))
1
#s(literal 1 binary64)
(+ 1 (* y (- x 1)))
(+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 x #s(literal -1 binary64))))
(+ 1 (* y (- (+ x (* y (- 1 x))) 1)))
(+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 y #s(literal -1 binary64)))))
(+ 1 (* y (- (+ x (* y (- (+ 1 (* y (- x 1))) x))) 1)))
(+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 (+.f64 x #s(literal -1 binary64)) (*.f64 y (*.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 y #s(literal -1 binary64)))))))
x
(- (+ x (/ 1 y)) (/ x y))
(-.f64 x (/.f64 (+.f64 x #s(literal -1 binary64)) y))
(- (+ x (+ (* -1 (/ (+ 1 (* -1 x)) (pow y 2))) (/ 1 y))) (/ x y))
(-.f64 x (*.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) y) (+.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 1 binary64))))
(- (+ x (+ (/ 1 y) (/ 1 (pow y 3)))) (+ (* -1 (/ x (pow y 2))) (+ (/ 1 (pow y 2)) (+ (/ x y) (/ x (pow y 3))))))
(+.f64 (+.f64 x (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) y) y)) (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) (-.f64 x (/.f64 (+.f64 x #s(literal -1 binary64)) y))) y) (/.f64 x (*.f64 y (*.f64 y y)))))
x
(+ x (* -1 (/ (- x 1) y)))
(-.f64 x (/.f64 (+.f64 x #s(literal -1 binary64)) y))
(+ x (* -1 (/ (- (* -1 (/ (- x 1) y)) (* -1 (- x 1))) y)))
(-.f64 x (*.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) y) (+.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 1 binary64))))
(+ x (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- x 1) y)) (* -1 (- x 1))) y)) (* -1 (- x 1))) y)))
(-.f64 x (/.f64 (-.f64 (+.f64 x #s(literal -1 binary64)) (*.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) y) (+.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 1 binary64)))) y))
(/ y (+ 1 y))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)))
(+ (* -1 (/ (* x y) (+ 1 y))) (/ y (+ 1 y)))
(*.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y))))
(+ (* -1 (/ (* x y) (+ 1 y))) (/ y (+ 1 y)))
(*.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y))))
(+ (* -1 (/ (* x y) (+ 1 y))) (/ y (+ 1 y)))
(*.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y))))
(* -1 (/ (* x y) (+ 1 y)))
(/.f64 (*.f64 y x) (-.f64 #s(literal -1 binary64) y))
(* x (+ (* -1 (/ y (+ 1 y))) (/ y (* x (+ 1 y)))))
(*.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y))))
(* x (+ (* -1 (/ y (+ 1 y))) (/ y (* x (+ 1 y)))))
(*.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y))))
(* x (+ (* -1 (/ y (+ 1 y))) (/ y (* x (+ 1 y)))))
(*.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y))))
(* -1 (/ (* x y) (+ 1 y)))
(/.f64 (*.f64 y x) (-.f64 #s(literal -1 binary64) y))
(* -1 (* x (+ (* -1 (/ y (* x (+ 1 y)))) (/ y (+ 1 y)))))
(*.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y))))
(* -1 (* x (+ (* -1 (/ y (* x (+ 1 y)))) (/ y (+ 1 y)))))
(*.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y))))
(* -1 (* x (+ (* -1 (/ y (* x (+ 1 y)))) (/ y (+ 1 y)))))
(*.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y))))
(* y (- 1 x))
(*.f64 y (-.f64 #s(literal 1 binary64) x))
(* y (- (+ 1 (* y (- x 1))) x))
(*.f64 y (*.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 y #s(literal -1 binary64))))
(* y (- (+ 1 (* y (- (+ x (* y (- 1 x))) 1))) x))
(*.f64 y (+.f64 (*.f64 y (*.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 y #s(literal -1 binary64)))) (-.f64 #s(literal 1 binary64) x)))
(* y (- (+ 1 (* y (- (+ x (* y (- (+ 1 (* y (- x 1))) x))) 1))) x))
(*.f64 y (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 y (+.f64 (+.f64 x #s(literal -1 binary64)) (*.f64 y (*.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 y #s(literal -1 binary64)))))) x)))
(- 1 x)
(-.f64 #s(literal 1 binary64) x)
(- (+ 1 (/ x y)) (+ x (/ 1 y)))
(-.f64 #s(literal 1 binary64) (-.f64 x (/.f64 (+.f64 x #s(literal -1 binary64)) y)))
(- (+ 1 (+ (/ 1 (pow y 2)) (/ x y))) (+ x (+ (/ 1 y) (/ x (pow y 2)))))
(+.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) (+.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y y)) (-.f64 (/.f64 #s(literal -1 binary64) y) x)))
(- (+ 1 (+ (/ 1 (pow y 2)) (+ (/ x y) (/ x (pow y 3))))) (+ x (+ (/ 1 y) (+ (/ 1 (pow y 3)) (/ x (pow y 2))))))
(+.f64 (-.f64 (-.f64 #s(literal 0 binary64) (-.f64 (/.f64 (-.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) y) x) y) (/.f64 x (*.f64 y (*.f64 y y))))) (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) y) y))) (-.f64 #s(literal 1 binary64) x))
(- 1 x)
(-.f64 #s(literal 1 binary64) x)
(- (+ 1 (/ x y)) (+ x (/ 1 y)))
(-.f64 #s(literal 1 binary64) (-.f64 x (/.f64 (+.f64 x #s(literal -1 binary64)) y)))
(- (+ 1 (* -1 (/ (- (+ (* -1 (- x 1)) (/ x y)) (/ 1 y)) y))) x)
(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) y) (+.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 1 binary64))))
(- (+ 1 (* -1 (/ (+ (* -1 (- x 1)) (* -1 (/ (- (+ (* -1 (- x 1)) (/ x y)) (/ 1 y)) y))) y))) x)
(+.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (-.f64 (+.f64 x #s(literal -1 binary64)) (*.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) y) (+.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 1 binary64)))) y))
y
(+ y (* -1 (* x y)))
(*.f64 y (-.f64 #s(literal 1 binary64) x))
(+ y (* -1 (* x y)))
(*.f64 y (-.f64 #s(literal 1 binary64) x))
(+ y (* -1 (* x y)))
(*.f64 y (-.f64 #s(literal 1 binary64) x))
(* -1 (* x y))
(-.f64 #s(literal 0 binary64) (*.f64 y x))
(* x (+ (* -1 y) (/ y x)))
(*.f64 y (-.f64 #s(literal 1 binary64) x))
(* x (+ (* -1 y) (/ y x)))
(*.f64 y (-.f64 #s(literal 1 binary64) x))
(* x (+ (* -1 y) (/ y x)))
(*.f64 y (-.f64 #s(literal 1 binary64) x))
(* -1 (* x y))
(-.f64 #s(literal 0 binary64) (*.f64 y x))
(* -1 (* x (+ y (* -1 (/ y x)))))
(*.f64 y (-.f64 #s(literal 1 binary64) x))
(* -1 (* x (+ y (* -1 (/ y x)))))
(*.f64 y (-.f64 #s(literal 1 binary64) x))
(* -1 (* x (+ y (* -1 (/ y x)))))
(*.f64 y (-.f64 #s(literal 1 binary64) x))
(* y (- 1 x))
(*.f64 y (-.f64 #s(literal 1 binary64) x))
(* y (- 1 x))
(*.f64 y (-.f64 #s(literal 1 binary64) x))
(* y (- 1 x))
(*.f64 y (-.f64 #s(literal 1 binary64) x))
(* y (- 1 x))
(*.f64 y (-.f64 #s(literal 1 binary64) x))
(* y (- 1 x))
(*.f64 y (-.f64 #s(literal 1 binary64) x))
(* y (- 1 x))
(*.f64 y (-.f64 #s(literal 1 binary64) x))
(* y (- 1 x))
(*.f64 y (-.f64 #s(literal 1 binary64) x))
(* y (- 1 x))
(*.f64 y (-.f64 #s(literal 1 binary64) x))
(* y (- 1 x))
(*.f64 y (-.f64 #s(literal 1 binary64) x))
(* y (- 1 x))
(*.f64 y (-.f64 #s(literal 1 binary64) x))
(* y (- 1 x))
(*.f64 y (-.f64 #s(literal 1 binary64) x))
(* y (- 1 x))
(*.f64 y (-.f64 #s(literal 1 binary64) x))
1
#s(literal 1 binary64)
(+ 1 (* -1 x))
(-.f64 #s(literal 1 binary64) x)
(+ 1 (* -1 x))
(-.f64 #s(literal 1 binary64) x)
(+ 1 (* -1 x))
(-.f64 #s(literal 1 binary64) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* x (- (/ 1 x) 1))
(-.f64 #s(literal 1 binary64) x)
(* x (- (/ 1 x) 1))
(-.f64 #s(literal 1 binary64) x)
(* x (- (/ 1 x) 1))
(-.f64 #s(literal 1 binary64) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* -1 (* x (- 1 (/ 1 x))))
(-.f64 #s(literal 1 binary64) x)
(* -1 (* x (- 1 (/ 1 x))))
(-.f64 #s(literal 1 binary64) x)
(* -1 (* x (- 1 (/ 1 x))))
(-.f64 #s(literal 1 binary64) x)
1
#s(literal 1 binary64)
(+ 1 y)
(+.f64 #s(literal 1 binary64) y)
(+ 1 y)
(+.f64 #s(literal 1 binary64) y)
(+ 1 y)
(+.f64 #s(literal 1 binary64) y)
y
(* y (+ 1 (/ 1 y)))
(+.f64 #s(literal 1 binary64) y)
(* y (+ 1 (/ 1 y)))
(+.f64 #s(literal 1 binary64) y)
(* y (+ 1 (/ 1 y)))
(+.f64 #s(literal 1 binary64) y)
y
(* y (+ 1 (/ 1 y)))
(+.f64 #s(literal 1 binary64) y)
(* y (+ 1 (/ 1 y)))
(+.f64 #s(literal 1 binary64) y)
(* y (+ 1 (/ 1 y)))
(+.f64 #s(literal 1 binary64) y)

eval68.0ms (0.8%)

Compiler

Compiled 12476 to 1531 computations (87.7% saved)

prune67.0ms (0.8%)

Pruning

11 alts after pruning (11 fresh and 0 done)

PrunedKeptTotal
New47111482
Fresh000
Picked101
Done000
Total47211483
Accuracy
100.0%
Counts
483 → 11
Alt Table
Click to see full alt table
StatusAccuracyProgram
60.2%
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (/.f64 (-.f64 #s(literal -1 binary64) y) (/.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (+.f64 #s(literal 1 binary64) y) y))))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (+.f64 #s(literal 1 binary64) y) y))))
▶35.8%
(/.f64 (*.f64 y x) (+.f64 #s(literal 1 binary64) y))
47.5%
(-.f64 x (/.f64 (-.f64 (+.f64 x #s(literal -1 binary64)) (*.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) y) (+.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 1 binary64)))) y))
47.6%
(-.f64 x (/.f64 (+.f64 x #s(literal -1 binary64)) y))
47.2%
(-.f64 x (*.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) y) (+.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 1 binary64))))
▶79.2%
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (+.f64 #s(literal 1 binary64) y) y)))
▶42.2%
(-.f64 #s(literal 1 binary64) (/.f64 y (+.f64 y #s(literal 1 binary64))))
▶27.0%
(-.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x))
54.7%
(-.f64 #s(literal 1 binary64) (*.f64 y (-.f64 #s(literal 1 binary64) x)))
36.9%
x
▶42.0%
#s(literal 1 binary64)
Compiler

Compiled 266 to 158 computations (40.6% saved)

simplify307.0ms (3.8%)

Algorithm
1×egg-herbie
Localize:

Found 12 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(+.f64 #s(literal 1 binary64) y)
✓cost-diff0
(*.f64 y x)
✓cost-diff0
(/.f64 (*.f64 y x) (+.f64 #s(literal 1 binary64) y))
✓cost-diff0
(+.f64 y #s(literal 1 binary64))
✓cost-diff0
(/.f64 y (+.f64 y #s(literal 1 binary64)))
✓cost-diff0
(-.f64 #s(literal 1 binary64) (/.f64 y (+.f64 y #s(literal 1 binary64))))
✓cost-diff0
(-.f64 #s(literal 1 binary64) x)
✓cost-diff256
(-.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x))
✓cost-diff0
(/.f64 (+.f64 #s(literal 1 binary64) y) y)
✓cost-diff0
(-.f64 #s(literal 1 binary64) x)
✓cost-diff0
(/.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (+.f64 #s(literal 1 binary64) y) y))
✓cost-diff0
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (+.f64 #s(literal 1 binary64) y) y)))
Rules
1596×*-lowering-*.f32
1596×*-lowering-*.f64
1180×+-lowering-+.f64
1180×+-lowering-+.f32
1152×div-sub
Iterations

Useful iterations: 5 (0.0ms)

IterNodesCost
01474
13574
27773
325673
493472
5419670
6619770
7755470
0807170
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(- 1 (/ (- 1 x) (/ (+ 1 y) y)))
1
(/ (- 1 x) (/ (+ 1 y) y))
(- 1 x)
x
(/ (+ 1 y) y)
(+ 1 y)
y
1
(- 1 (- 1 x))
1
(- 1 x)
x
(- 1 (/ y (+ y 1)))
1
(/ y (+ y 1))
y
(+ y 1)
(/ (* y x) (+ 1 y))
(* y x)
y
x
(+ 1 y)
1
Outputs
(- 1 (/ (- 1 x) (/ (+ 1 y) y)))
(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) y))))
1
#s(literal 1 binary64)
(/ (- 1 x) (/ (+ 1 y) y))
(/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)))
(- 1 x)
(-.f64 #s(literal 1 binary64) x)
x
(/ (+ 1 y) y)
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y))
(+ 1 y)
(+.f64 #s(literal 1 binary64) y)
y
1
#s(literal 1 binary64)
(- 1 (- 1 x))
x
1
#s(literal 1 binary64)
(- 1 x)
(-.f64 #s(literal 1 binary64) x)
x
(- 1 (/ y (+ y 1)))
(+.f64 #s(literal 1 binary64) (/.f64 y (-.f64 #s(literal -1 binary64) y)))
1
#s(literal 1 binary64)
(/ y (+ y 1))
(/.f64 y (+.f64 #s(literal 1 binary64) y))
y
(+ y 1)
(+.f64 #s(literal 1 binary64) y)
(/ (* y x) (+ 1 y))
(/.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)))
(* y x)
(*.f64 x y)
y
x
(+ 1 y)
(+.f64 #s(literal 1 binary64) y)
1
#s(literal 1 binary64)

localize133.0ms (1.6%)

Localize:

Found 12 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(+.f64 #s(literal 1 binary64) y)
✓accuracy100.0%
(*.f64 y x)
✓accuracy86.5%
(/.f64 (*.f64 y x) (+.f64 #s(literal 1 binary64) y))
✓accuracy100.0%
(+.f64 y #s(literal 1 binary64))
✓accuracy100.0%
(/.f64 y (+.f64 y #s(literal 1 binary64)))
✓accuracy56.7%
(-.f64 #s(literal 1 binary64) (/.f64 y (+.f64 y #s(literal 1 binary64))))
✓accuracy100.0%
(-.f64 #s(literal 1 binary64) x)
✓accuracy51.8%
(-.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x))
✓accuracy100.0%
(-.f64 #s(literal 1 binary64) x)
✓accuracy100.0%
(+.f64 #s(literal 1 binary64) y)
✓accuracy99.9%
(/.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (+.f64 #s(literal 1 binary64) y) y))
✓accuracy79.3%
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (+.f64 #s(literal 1 binary64) y) y)))
Results
62.0ms184×1valid
42.0ms63×0valid
4.0ms9×2valid
Compiler

Compiled 81 to 15 computations (81.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 70.0ms
ival-add: 38.0ms (54% of total)
ival-div: 12.0ms (17.1% of total)
ival-sub: 9.0ms (12.8% of total)
backward-pass: 7.0ms (10% of total)
ival-mult: 4.0ms (5.7% of total)
const: 1.0ms (1.4% of total)

series9.0ms (0.1%)

Counts
11 → 180
Calls
Call 1
Inputs
#<alt (- 1 (/ (- 1 x) (/ (+ 1 y) y)))>
#<alt (/ (- 1 x) (/ (+ 1 y) y))>
#<alt (- 1 x)>
#<alt (/ (+ 1 y) y)>
#<alt (- 1 (- 1 x))>
#<alt (- 1 (/ y (+ y 1)))>
#<alt (/ y (+ y 1))>
#<alt (+ y 1)>
#<alt (/ (* y x) (+ 1 y))>
#<alt (* y x)>
#<alt (+ 1 y)>
Outputs
#<alt (- 1 (/ y (+ 1 y)))>
#<alt (- (+ 1 (/ (* x y) (+ 1 y))) (/ y (+ 1 y)))>
#<alt (- (+ 1 (/ (* x y) (+ 1 y))) (/ y (+ 1 y)))>
#<alt (- (+ 1 (/ (* x y) (+ 1 y))) (/ y (+ 1 y)))>
#<alt (/ (* x y) (+ 1 y))>
#<alt (* x (- (/ 1 x) (+ (* -1 (/ y (+ 1 y))) (/ y (* x (+ 1 y))))))>
#<alt (* x (- (/ 1 x) (+ (* -1 (/ y (+ 1 y))) (/ y (* x (+ 1 y))))))>
#<alt (* x (- (/ 1 x) (+ (* -1 (/ y (+ 1 y))) (/ y (* x (+ 1 y))))))>
#<alt (/ (* x y) (+ 1 y))>
#<alt (* -1 (* x (- (* -1 (/ (- 1 (/ y (+ 1 y))) x)) (/ y (+ 1 y)))))>
#<alt (* -1 (* x (- (* -1 (/ (- 1 (/ y (+ 1 y))) x)) (/ y (+ 1 y)))))>
#<alt (* -1 (* x (- (* -1 (/ (- 1 (/ y (+ 1 y))) x)) (/ y (+ 1 y)))))>
#<alt 1>
#<alt (+ 1 (* y (- x 1)))>
#<alt (+ 1 (* y (- (+ x (* y (- 1 x))) 1)))>
#<alt (+ 1 (* y (- (+ x (* y (- (+ 1 (* y (- x 1))) x))) 1)))>
#<alt x>
#<alt (- (+ x (/ 1 y)) (/ x y))>
#<alt (- (+ x (+ (* -1 (/ (+ 1 (* -1 x)) (pow y 2))) (/ 1 y))) (/ x y))>
#<alt (- (+ x (+ (/ 1 y) (/ 1 (pow y 3)))) (+ (* -1 (/ x (pow y 2))) (+ (/ 1 (pow y 2)) (+ (/ x y) (/ x (pow y 3))))))>
#<alt x>
#<alt (+ x (* -1 (/ (- x 1) y)))>
#<alt (+ x (* -1 (/ (- (* -1 (/ (- x 1) y)) (* -1 (- x 1))) y)))>
#<alt (+ x (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- x 1) y)) (* -1 (- x 1))) y)) (* -1 (- x 1))) y)))>
#<alt (/ y (+ 1 y))>
#<alt (+ (* -1 (/ (* x y) (+ 1 y))) (/ y (+ 1 y)))>
#<alt (+ (* -1 (/ (* x y) (+ 1 y))) (/ y (+ 1 y)))>
#<alt (+ (* -1 (/ (* x y) (+ 1 y))) (/ y (+ 1 y)))>
#<alt (* -1 (/ (* x y) (+ 1 y)))>
#<alt (* x (+ (* -1 (/ y (+ 1 y))) (/ y (* x (+ 1 y)))))>
#<alt (* x (+ (* -1 (/ y (+ 1 y))) (/ y (* x (+ 1 y)))))>
#<alt (* x (+ (* -1 (/ y (+ 1 y))) (/ y (* x (+ 1 y)))))>
#<alt (* -1 (/ (* x y) (+ 1 y)))>
#<alt (* -1 (* x (+ (* -1 (/ y (* x (+ 1 y)))) (/ y (+ 1 y)))))>
#<alt (* -1 (* x (+ (* -1 (/ y (* x (+ 1 y)))) (/ y (+ 1 y)))))>
#<alt (* -1 (* x (+ (* -1 (/ y (* x (+ 1 y)))) (/ y (+ 1 y)))))>
#<alt (* y (- 1 x))>
#<alt (* y (- (+ 1 (* y (- x 1))) x))>
#<alt (* y (- (+ 1 (* y (- (+ x (* y (- 1 x))) 1))) x))>
#<alt (* y (- (+ 1 (* y (- (+ x (* y (- (+ 1 (* y (- x 1))) x))) 1))) x))>
#<alt (- 1 x)>
#<alt (- (+ 1 (/ x y)) (+ x (/ 1 y)))>
#<alt (- (+ 1 (+ (/ 1 (pow y 2)) (/ x y))) (+ x (+ (/ 1 y) (/ x (pow y 2)))))>
#<alt (- (+ 1 (+ (/ 1 (pow y 2)) (+ (/ x y) (/ x (pow y 3))))) (+ x (+ (/ 1 y) (+ (/ 1 (pow y 3)) (/ x (pow y 2))))))>
#<alt (- 1 x)>
#<alt (- (+ 1 (/ x y)) (+ x (/ 1 y)))>
#<alt (- (+ 1 (* -1 (/ (- (+ (* -1 (- x 1)) (/ x y)) (/ 1 y)) y))) x)>
#<alt (- (+ 1 (* -1 (/ (+ (* -1 (- x 1)) (* -1 (/ (- (+ (* -1 (- x 1)) (/ x y)) (/ 1 y)) y))) y))) x)>
#<alt 1>
#<alt (+ 1 (* -1 x))>
#<alt (+ 1 (* -1 x))>
#<alt (+ 1 (* -1 x))>
#<alt (* -1 x)>
#<alt (* x (- (/ 1 x) 1))>
#<alt (* x (- (/ 1 x) 1))>
#<alt (* x (- (/ 1 x) 1))>
#<alt (* -1 x)>
#<alt (* -1 (* x (- 1 (/ 1 x))))>
#<alt (* -1 (* x (- 1 (/ 1 x))))>
#<alt (* -1 (* x (- 1 (/ 1 x))))>
#<alt (/ 1 y)>
#<alt (/ (+ 1 y) y)>
#<alt (/ (+ 1 y) y)>
#<alt (/ (+ 1 y) y)>
#<alt 1>
#<alt (+ 1 (/ 1 y))>
#<alt (+ 1 (/ 1 y))>
#<alt (+ 1 (/ 1 y))>
#<alt 1>
#<alt (+ 1 (/ 1 y))>
#<alt (+ 1 (/ 1 y))>
#<alt (+ 1 (/ 1 y))>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt 1>
#<alt (+ 1 (* -1 y))>
#<alt (+ 1 (* y (- y 1)))>
#<alt (+ 1 (* y (- (* y (+ 1 (* -1 y))) 1)))>
#<alt (/ 1 y)>
#<alt (/ (- 1 (/ 1 y)) y)>
#<alt (/ (- (+ 1 (/ 1 (pow y 2))) (/ 1 y)) y)>
#<alt (/ (- (+ 1 (/ 1 (pow y 2))) (+ (/ 1 y) (/ 1 (pow y 3)))) y)>
#<alt (/ 1 y)>
#<alt (* -1 (/ (- (/ 1 y) 1) y))>
#<alt (* -1 (/ (- (* -1 (/ (- (/ 1 y) 1) y)) 1) y))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 y) 1) y)) 1) y)) 1) y))>
#<alt y>
#<alt (* y (+ 1 (* -1 y)))>
#<alt (* y (+ 1 (* y (- y 1))))>
#<alt (* y (+ 1 (* y (- (* y (+ 1 (* -1 y))) 1))))>
#<alt 1>
#<alt (- 1 (/ 1 y))>
#<alt (- (+ 1 (/ 1 (pow y 2))) (/ 1 y))>
#<alt (- (+ 1 (/ 1 (pow y 2))) (+ (/ 1 y) (/ 1 (pow y 3))))>
#<alt 1>
#<alt (- 1 (/ 1 y))>
#<alt (+ 1 (* -1 (/ (- 1 (/ 1 y)) y)))>
#<alt (+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 y)) y))) y)))>
#<alt 1>
#<alt (+ 1 y)>
#<alt (+ 1 y)>
#<alt (+ 1 y)>
#<alt y>
#<alt (* y (+ 1 (/ 1 y)))>
#<alt (* y (+ 1 (/ 1 y)))>
#<alt (* y (+ 1 (/ 1 y)))>
#<alt y>
#<alt (* y (+ 1 (/ 1 y)))>
#<alt (* y (+ 1 (/ 1 y)))>
#<alt (* y (+ 1 (/ 1 y)))>
#<alt (* x y)>
#<alt (* y (+ x (* -1 (* x y))))>
#<alt (* y (+ x (* y (- (* x y) x))))>
#<alt (* y (+ x (* y (- (* y (- (* -1 (* x y)) (* -1 x))) x))))>
#<alt x>
#<alt (+ x (* -1 (/ x y)))>
#<alt (- (+ x (/ x (pow y 2))) (/ x y))>
#<alt (- (+ x (* -1 (/ x (pow y 3)))) (+ (* -1 (/ x (pow y 2))) (/ x y)))>
#<alt x>
#<alt (+ x (* -1 (/ x y)))>
#<alt (+ x (* -1 (/ (+ x (* -1 (/ x y))) y)))>
#<alt (+ x (* -1 (/ (+ x (* -1 (/ (+ x (* -1 (/ x y))) y))) y)))>
#<alt (/ (* x y) (+ 1 y))>
#<alt (/ (* x y) (+ 1 y))>
#<alt (/ (* x y) (+ 1 y))>
#<alt (/ (* x y) (+ 1 y))>
#<alt (/ (* x y) (+ 1 y))>
#<alt (/ (* x y) (+ 1 y))>
#<alt (/ (* x y) (+ 1 y))>
#<alt (/ (* x y) (+ 1 y))>
#<alt (/ (* x y) (+ 1 y))>
#<alt (/ (* x y) (+ 1 y))>
#<alt (/ (* x y) (+ 1 y))>
#<alt (/ (* x y) (+ 1 y))>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt 1>
#<alt (+ 1 y)>
#<alt (+ 1 y)>
#<alt (+ 1 y)>
#<alt y>
#<alt (* y (+ 1 (/ 1 y)))>
#<alt (* y (+ 1 (/ 1 y)))>
#<alt (* y (+ 1 (/ 1 y)))>
#<alt y>
#<alt (* y (+ 1 (/ 1 y)))>
#<alt (* y (+ 1 (/ 1 y)))>
#<alt (* y (+ 1 (/ 1 y)))>
Calls

45 calls:

TimeVariablePointExpression
2.0ms
y
@-inf
(/ (+ 1 y) y)
1.0ms
x
@-inf
(/ (* y x) (+ 1 y))
1.0ms
x
@0
(/ (* y x) (+ 1 y))
1.0ms
x
@inf
(/ (* y x) (+ 1 y))
0.0ms
x
@inf
(* y x)

rewrite344.0ms (4.2%)

Algorithm
1×batch-egg-rewrite
Rules
5208×*-lowering-*.f32
5208×*-lowering-*.f64
4442×/-lowering-/.f32
4442×/-lowering-/.f64
2138×--lowering--.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01459
112457
2120256
0880756
Stop Event
1×iter limit
1×node limit
Counts
11 → 707
Calls
Call 1
Inputs
(- 1 (/ (- 1 x) (/ (+ 1 y) y)))
(/ (- 1 x) (/ (+ 1 y) y))
(- 1 x)
(/ (+ 1 y) y)
(- 1 (- 1 x))
(- 1 (/ y (+ y 1)))
(/ y (+ y 1))
(+ y 1)
(/ (* y x) (+ 1 y))
(* y x)
(+ 1 y)
Outputs
(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (+.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 0 binary64) y))))
(+.f64 (-.f64 #s(literal 1 binary64) (/.f64 y (+.f64 #s(literal 1 binary64) y))) (*.f64 y (/.f64 x (+.f64 #s(literal 1 binary64) y))))
(+.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (+.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 0 binary64) y))) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (+.f64 #s(literal 1 binary64) y) y)))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (+.f64 #s(literal 1 binary64) y) y)) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (+.f64 #s(literal 1 binary64) y) y)))))) (/.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (+.f64 #s(literal 1 binary64) y) y)) (*.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (+.f64 #s(literal 1 binary64) y) y)) (-.f64 #s(literal 1 binary64) x)) (/.f64 y (+.f64 #s(literal 1 binary64) y)))) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (+.f64 #s(literal 1 binary64) y) y)) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (+.f64 #s(literal 1 binary64) y) y)))))))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (+.f64 #s(literal 1 binary64) y) y)))) (/.f64 (*.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (+.f64 #s(literal 1 binary64) y) y)) (-.f64 #s(literal 1 binary64) x)) (/.f64 y (+.f64 #s(literal 1 binary64) y))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (+.f64 #s(literal 1 binary64) y) y)))))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (+.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 0 binary64) y))))) (/.f64 (*.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (+.f64 #s(literal 1 binary64) y) y)) (-.f64 #s(literal 1 binary64) x)) (/.f64 y (+.f64 #s(literal 1 binary64) y))) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (+.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 0 binary64) y))))))
(fma.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 y (+.f64 (-.f64 #s(literal 0 binary64) y) #s(literal -1 binary64))) #s(literal 1 binary64))
(fma.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) x)) (/.f64 y (+.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64))
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(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))) (+.f64 (-.f64 #s(literal 0 binary64) y) #s(literal -1 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 2 binary64) x)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) y))))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))) (/.f64 #s(literal 1 binary64) y)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 2 binary64) x)))) (+.f64 #s(literal 1 binary64) y)))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) y))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 2 binary64) x)))) (+.f64 (-.f64 #s(literal 0 binary64) y) #s(literal -1 binary64))))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) x)) (/.f64 (+.f64 #s(literal 1 binary64) y) y)))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))) (+.f64 #s(literal 1 binary64) y)) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) x)) (/.f64 #s(literal 1 binary64) y)))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))) (+.f64 (-.f64 #s(literal 0 binary64) y) #s(literal -1 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) y))))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 1 binary64) y)) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) x)) (+.f64 #s(literal 1 binary64) y)))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) y))) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) x)) (+.f64 (-.f64 #s(literal 0 binary64) y) #s(literal -1 binary64))))
(*.f64 (/.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y)))) #s(literal 1 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 y #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) y)))
(*.f64 (/.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y)))) #s(literal 1 binary64)) (/.f64 (+.f64 (*.f64 y y) (-.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal 1 binary64) y)))
(*.f64 (/.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y y))) #s(literal 1 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) y)))
(*.f64 (/.f64 (/.f64 x (+.f64 (*.f64 y y) #s(literal -1 binary64))) #s(literal 1 binary64)) (/.f64 (+.f64 y #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) y)))
(*.f64 x y)
(*.f64 y x)
(+.f64 #s(literal 1 binary64) y)
(+.f64 y #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y)) (/.f64 (*.f64 y y) (-.f64 #s(literal 1 binary64) y)))
(-.f64 (/.f64 (*.f64 y y) (+.f64 y #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64))))
(fma.f64 #s(literal 1 binary64) y #s(literal 1 binary64))
(fma.f64 y #s(literal 1 binary64) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 y #s(literal -1 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 y y) (-.f64 #s(literal 1 binary64) y)) (+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) (*.f64 y y))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 y #s(literal -1 binary64)) (+.f64 (*.f64 y y) #s(literal -1 binary64))))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y))) (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 y #s(literal -1 binary64)))))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y))) (+.f64 (*.f64 y y) (-.f64 #s(literal 1 binary64) y)))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (-.f64 #s(literal 1 binary64) y))
(/.f64 (+.f64 (*.f64 y y) #s(literal -1 binary64)) (+.f64 y #s(literal -1 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 y #s(literal -1 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 (*.f64 y y) (-.f64 #s(literal 1 binary64) y)) (+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) (*.f64 y y)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 y #s(literal -1 binary64)) (+.f64 (*.f64 y y) #s(literal -1 binary64)))))
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y)))) (neg.f64 (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 y #s(literal -1 binary64))))))
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y)))) (neg.f64 (+.f64 (*.f64 y y) (-.f64 #s(literal 1 binary64) y))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y))) (neg.f64 (-.f64 #s(literal 1 binary64) y)))
(/.f64 (neg.f64 (+.f64 (*.f64 y y) #s(literal -1 binary64))) (neg.f64 (+.f64 y #s(literal -1 binary64))))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y)) (*.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y y))) (*.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) y)))
(/.f64 (-.f64 (*.f64 (*.f64 y y) (+.f64 y #s(literal -1 binary64))) (*.f64 (+.f64 y #s(literal -1 binary64)) #s(literal 1 binary64))) (*.f64 (+.f64 y #s(literal -1 binary64)) (+.f64 y #s(literal -1 binary64))))
(/.f64 (neg.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y))))) (neg.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 y #s(literal -1 binary64)))))))
(/.f64 (neg.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y))))) (neg.f64 (neg.f64 (+.f64 (*.f64 y y) (-.f64 #s(literal 1 binary64) y)))))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)))) (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) y))))
(/.f64 (neg.f64 (neg.f64 (+.f64 (*.f64 y y) #s(literal -1 binary64)))) (neg.f64 (neg.f64 (+.f64 y #s(literal -1 binary64)))))
(pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 y #s(literal -1 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 (*.f64 y y) (-.f64 #s(literal 1 binary64) y)) (+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) (*.f64 y y))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 y #s(literal -1 binary64)) (+.f64 (*.f64 y y) #s(literal -1 binary64))) #s(literal -1 binary64))
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 y #s(literal -1 binary64))))))
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 y y) (-.f64 #s(literal 1 binary64) y))))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y)))
(*.f64 (+.f64 (*.f64 y y) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64))))

simplify293.0ms (3.6%)

Algorithm
1×egg-herbie
Rules
3016×+-lowering-+.f64
3016×+-lowering-+.f32
2484×--lowering--.f32
2484×--lowering--.f64
2366×*-lowering-*.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01771215
15871122
217871032
081131032
Stop Event
1×iter limit
1×node limit
Counts
180 → 180
Calls
Call 1
Inputs
(- 1 (/ y (+ 1 y)))
(- (+ 1 (/ (* x y) (+ 1 y))) (/ y (+ 1 y)))
(- (+ 1 (/ (* x y) (+ 1 y))) (/ y (+ 1 y)))
(- (+ 1 (/ (* x y) (+ 1 y))) (/ y (+ 1 y)))
(/ (* x y) (+ 1 y))
(* x (- (/ 1 x) (+ (* -1 (/ y (+ 1 y))) (/ y (* x (+ 1 y))))))
(* x (- (/ 1 x) (+ (* -1 (/ y (+ 1 y))) (/ y (* x (+ 1 y))))))
(* x (- (/ 1 x) (+ (* -1 (/ y (+ 1 y))) (/ y (* x (+ 1 y))))))
(/ (* x y) (+ 1 y))
(* -1 (* x (- (* -1 (/ (- 1 (/ y (+ 1 y))) x)) (/ y (+ 1 y)))))
(* -1 (* x (- (* -1 (/ (- 1 (/ y (+ 1 y))) x)) (/ y (+ 1 y)))))
(* -1 (* x (- (* -1 (/ (- 1 (/ y (+ 1 y))) x)) (/ y (+ 1 y)))))
1
(+ 1 (* y (- x 1)))
(+ 1 (* y (- (+ x (* y (- 1 x))) 1)))
(+ 1 (* y (- (+ x (* y (- (+ 1 (* y (- x 1))) x))) 1)))
x
(- (+ x (/ 1 y)) (/ x y))
(- (+ x (+ (* -1 (/ (+ 1 (* -1 x)) (pow y 2))) (/ 1 y))) (/ x y))
(- (+ x (+ (/ 1 y) (/ 1 (pow y 3)))) (+ (* -1 (/ x (pow y 2))) (+ (/ 1 (pow y 2)) (+ (/ x y) (/ x (pow y 3))))))
x
(+ x (* -1 (/ (- x 1) y)))
(+ x (* -1 (/ (- (* -1 (/ (- x 1) y)) (* -1 (- x 1))) y)))
(+ x (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- x 1) y)) (* -1 (- x 1))) y)) (* -1 (- x 1))) y)))
(/ y (+ 1 y))
(+ (* -1 (/ (* x y) (+ 1 y))) (/ y (+ 1 y)))
(+ (* -1 (/ (* x y) (+ 1 y))) (/ y (+ 1 y)))
(+ (* -1 (/ (* x y) (+ 1 y))) (/ y (+ 1 y)))
(* -1 (/ (* x y) (+ 1 y)))
(* x (+ (* -1 (/ y (+ 1 y))) (/ y (* x (+ 1 y)))))
(* x (+ (* -1 (/ y (+ 1 y))) (/ y (* x (+ 1 y)))))
(* x (+ (* -1 (/ y (+ 1 y))) (/ y (* x (+ 1 y)))))
(* -1 (/ (* x y) (+ 1 y)))
(* -1 (* x (+ (* -1 (/ y (* x (+ 1 y)))) (/ y (+ 1 y)))))
(* -1 (* x (+ (* -1 (/ y (* x (+ 1 y)))) (/ y (+ 1 y)))))
(* -1 (* x (+ (* -1 (/ y (* x (+ 1 y)))) (/ y (+ 1 y)))))
(* y (- 1 x))
(* y (- (+ 1 (* y (- x 1))) x))
(* y (- (+ 1 (* y (- (+ x (* y (- 1 x))) 1))) x))
(* y (- (+ 1 (* y (- (+ x (* y (- (+ 1 (* y (- x 1))) x))) 1))) x))
(- 1 x)
(- (+ 1 (/ x y)) (+ x (/ 1 y)))
(- (+ 1 (+ (/ 1 (pow y 2)) (/ x y))) (+ x (+ (/ 1 y) (/ x (pow y 2)))))
(- (+ 1 (+ (/ 1 (pow y 2)) (+ (/ x y) (/ x (pow y 3))))) (+ x (+ (/ 1 y) (+ (/ 1 (pow y 3)) (/ x (pow y 2))))))
(- 1 x)
(- (+ 1 (/ x y)) (+ x (/ 1 y)))
(- (+ 1 (* -1 (/ (- (+ (* -1 (- x 1)) (/ x y)) (/ 1 y)) y))) x)
(- (+ 1 (* -1 (/ (+ (* -1 (- x 1)) (* -1 (/ (- (+ (* -1 (- x 1)) (/ x y)) (/ 1 y)) y))) y))) x)
1
(+ 1 (* -1 x))
(+ 1 (* -1 x))
(+ 1 (* -1 x))
(* -1 x)
(* x (- (/ 1 x) 1))
(* x (- (/ 1 x) 1))
(* x (- (/ 1 x) 1))
(* -1 x)
(* -1 (* x (- 1 (/ 1 x))))
(* -1 (* x (- 1 (/ 1 x))))
(* -1 (* x (- 1 (/ 1 x))))
(/ 1 y)
(/ (+ 1 y) y)
(/ (+ 1 y) y)
(/ (+ 1 y) y)
1
(+ 1 (/ 1 y))
(+ 1 (/ 1 y))
(+ 1 (/ 1 y))
1
(+ 1 (/ 1 y))
(+ 1 (/ 1 y))
(+ 1 (/ 1 y))
x
x
x
x
x
x
x
x
x
x
x
x
1
(+ 1 (* -1 y))
(+ 1 (* y (- y 1)))
(+ 1 (* y (- (* y (+ 1 (* -1 y))) 1)))
(/ 1 y)
(/ (- 1 (/ 1 y)) y)
(/ (- (+ 1 (/ 1 (pow y 2))) (/ 1 y)) y)
(/ (- (+ 1 (/ 1 (pow y 2))) (+ (/ 1 y) (/ 1 (pow y 3)))) y)
(/ 1 y)
(* -1 (/ (- (/ 1 y) 1) y))
(* -1 (/ (- (* -1 (/ (- (/ 1 y) 1) y)) 1) y))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 y) 1) y)) 1) y)) 1) y))
y
(* y (+ 1 (* -1 y)))
(* y (+ 1 (* y (- y 1))))
(* y (+ 1 (* y (- (* y (+ 1 (* -1 y))) 1))))
1
(- 1 (/ 1 y))
(- (+ 1 (/ 1 (pow y 2))) (/ 1 y))
(- (+ 1 (/ 1 (pow y 2))) (+ (/ 1 y) (/ 1 (pow y 3))))
1
(- 1 (/ 1 y))
(+ 1 (* -1 (/ (- 1 (/ 1 y)) y)))
(+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 y)) y))) y)))
1
(+ 1 y)
(+ 1 y)
(+ 1 y)
y
(* y (+ 1 (/ 1 y)))
(* y (+ 1 (/ 1 y)))
(* y (+ 1 (/ 1 y)))
y
(* y (+ 1 (/ 1 y)))
(* y (+ 1 (/ 1 y)))
(* y (+ 1 (/ 1 y)))
(* x y)
(* y (+ x (* -1 (* x y))))
(* y (+ x (* y (- (* x y) x))))
(* y (+ x (* y (- (* y (- (* -1 (* x y)) (* -1 x))) x))))
x
(+ x (* -1 (/ x y)))
(- (+ x (/ x (pow y 2))) (/ x y))
(- (+ x (* -1 (/ x (pow y 3)))) (+ (* -1 (/ x (pow y 2))) (/ x y)))
x
(+ x (* -1 (/ x y)))
(+ x (* -1 (/ (+ x (* -1 (/ x y))) y)))
(+ x (* -1 (/ (+ x (* -1 (/ (+ x (* -1 (/ x y))) y))) y)))
(/ (* x y) (+ 1 y))
(/ (* x y) (+ 1 y))
(/ (* x y) (+ 1 y))
(/ (* x y) (+ 1 y))
(/ (* x y) (+ 1 y))
(/ (* x y) (+ 1 y))
(/ (* x y) (+ 1 y))
(/ (* x y) (+ 1 y))
(/ (* x y) (+ 1 y))
(/ (* x y) (+ 1 y))
(/ (* x y) (+ 1 y))
(/ (* x y) (+ 1 y))
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
1
(+ 1 y)
(+ 1 y)
(+ 1 y)
y
(* y (+ 1 (/ 1 y)))
(* y (+ 1 (/ 1 y)))
(* y (+ 1 (/ 1 y)))
y
(* y (+ 1 (/ 1 y)))
(* y (+ 1 (/ 1 y)))
(* y (+ 1 (/ 1 y)))
Outputs
(- 1 (/ y (+ 1 y)))
(-.f64 #s(literal 1 binary64) (/.f64 y (+.f64 #s(literal 1 binary64) y)))
(- (+ 1 (/ (* x y) (+ 1 y))) (/ y (+ 1 y)))
(+.f64 #s(literal 1 binary64) (*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) (+.f64 x #s(literal -1 binary64))))
(- (+ 1 (/ (* x y) (+ 1 y))) (/ y (+ 1 y)))
(+.f64 #s(literal 1 binary64) (*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) (+.f64 x #s(literal -1 binary64))))
(- (+ 1 (/ (* x y) (+ 1 y))) (/ y (+ 1 y)))
(+.f64 #s(literal 1 binary64) (*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) (+.f64 x #s(literal -1 binary64))))
(/ (* x y) (+ 1 y))
(*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) x)
(* x (- (/ 1 x) (+ (* -1 (/ y (+ 1 y))) (/ y (* x (+ 1 y))))))
(+.f64 #s(literal 1 binary64) (*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) (+.f64 x #s(literal -1 binary64))))
(* x (- (/ 1 x) (+ (* -1 (/ y (+ 1 y))) (/ y (* x (+ 1 y))))))
(+.f64 #s(literal 1 binary64) (*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) (+.f64 x #s(literal -1 binary64))))
(* x (- (/ 1 x) (+ (* -1 (/ y (+ 1 y))) (/ y (* x (+ 1 y))))))
(+.f64 #s(literal 1 binary64) (*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) (+.f64 x #s(literal -1 binary64))))
(/ (* x y) (+ 1 y))
(*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) x)
(* -1 (* x (- (* -1 (/ (- 1 (/ y (+ 1 y))) x)) (/ y (+ 1 y)))))
(+.f64 #s(literal 1 binary64) (*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) (+.f64 x #s(literal -1 binary64))))
(* -1 (* x (- (* -1 (/ (- 1 (/ y (+ 1 y))) x)) (/ y (+ 1 y)))))
(+.f64 #s(literal 1 binary64) (*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) (+.f64 x #s(literal -1 binary64))))
(* -1 (* x (- (* -1 (/ (- 1 (/ y (+ 1 y))) x)) (/ y (+ 1 y)))))
(+.f64 #s(literal 1 binary64) (*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) (+.f64 x #s(literal -1 binary64))))
1
#s(literal 1 binary64)
(+ 1 (* y (- x 1)))
(+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 x #s(literal -1 binary64))))
(+ 1 (* y (- (+ x (* y (- 1 x))) 1)))
(+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 y #s(literal -1 binary64)))))
(+ 1 (* y (- (+ x (* y (- (+ 1 (* y (- x 1))) x))) 1)))
(+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 (+.f64 x #s(literal -1 binary64)) (*.f64 y (*.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 y #s(literal -1 binary64)))))))
x
(- (+ x (/ 1 y)) (/ x y))
(+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) x) y))
(- (+ x (+ (* -1 (/ (+ 1 (* -1 x)) (pow y 2))) (/ 1 y))) (/ x y))
(-.f64 x (/.f64 (*.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y))) y))
(- (+ x (+ (/ 1 y) (/ 1 (pow y 3)))) (+ (* -1 (/ x (pow y 2))) (+ (/ 1 (pow y 2)) (+ (/ x y) (/ x (pow y 3))))))
(+.f64 (+.f64 x (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y)))) (-.f64 (-.f64 #s(literal 0 binary64) (/.f64 (*.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y))) y)) (/.f64 x (*.f64 y (*.f64 y y)))))
x
(+ x (* -1 (/ (- x 1) y)))
(+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) x) y))
(+ x (* -1 (/ (- (* -1 (/ (- x 1) y)) (* -1 (- x 1))) y)))
(-.f64 x (/.f64 (*.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y))) y))
(+ x (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- x 1) y)) (* -1 (- x 1))) y)) (* -1 (- x 1))) y)))
(-.f64 x (/.f64 (-.f64 (+.f64 x #s(literal -1 binary64)) (/.f64 (*.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y))) y)) y))
(/ y (+ 1 y))
(/.f64 y (+.f64 #s(literal 1 binary64) y))
(+ (* -1 (/ (* x y) (+ 1 y))) (/ y (+ 1 y)))
(*.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 y (+.f64 #s(literal 1 binary64) y)))
(+ (* -1 (/ (* x y) (+ 1 y))) (/ y (+ 1 y)))
(*.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 y (+.f64 #s(literal 1 binary64) y)))
(+ (* -1 (/ (* x y) (+ 1 y))) (/ y (+ 1 y)))
(*.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 y (+.f64 #s(literal 1 binary64) y)))
(* -1 (/ (* x y) (+ 1 y)))
(-.f64 #s(literal 0 binary64) (*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) x))
(* x (+ (* -1 (/ y (+ 1 y))) (/ y (* x (+ 1 y)))))
(*.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 y (+.f64 #s(literal 1 binary64) y)))
(* x (+ (* -1 (/ y (+ 1 y))) (/ y (* x (+ 1 y)))))
(*.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 y (+.f64 #s(literal 1 binary64) y)))
(* x (+ (* -1 (/ y (+ 1 y))) (/ y (* x (+ 1 y)))))
(*.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 y (+.f64 #s(literal 1 binary64) y)))
(* -1 (/ (* x y) (+ 1 y)))
(-.f64 #s(literal 0 binary64) (*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) x))
(* -1 (* x (+ (* -1 (/ y (* x (+ 1 y)))) (/ y (+ 1 y)))))
(*.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 y (+.f64 #s(literal 1 binary64) y)))
(* -1 (* x (+ (* -1 (/ y (* x (+ 1 y)))) (/ y (+ 1 y)))))
(*.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 y (+.f64 #s(literal 1 binary64) y)))
(* -1 (* x (+ (* -1 (/ y (* x (+ 1 y)))) (/ y (+ 1 y)))))
(*.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 y (+.f64 #s(literal 1 binary64) y)))
(* y (- 1 x))
(*.f64 y (-.f64 #s(literal 1 binary64) x))
(* y (- (+ 1 (* y (- x 1))) x))
(*.f64 y (*.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 y #s(literal -1 binary64))))
(* y (- (+ 1 (* y (- (+ x (* y (- 1 x))) 1))) x))
(*.f64 y (+.f64 (*.f64 y (*.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 y #s(literal -1 binary64)))) (-.f64 #s(literal 1 binary64) x)))
(* y (- (+ 1 (* y (- (+ x (* y (- (+ 1 (* y (- x 1))) x))) 1))) x))
(*.f64 y (+.f64 (*.f64 y (+.f64 (+.f64 x #s(literal -1 binary64)) (*.f64 y (*.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 y #s(literal -1 binary64)))))) (-.f64 #s(literal 1 binary64) x)))
(- 1 x)
(-.f64 #s(literal 1 binary64) x)
(- (+ 1 (/ x y)) (+ x (/ 1 y)))
(+.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) y) (-.f64 #s(literal 1 binary64) x))
(- (+ 1 (+ (/ 1 (pow y 2)) (/ x y))) (+ x (+ (/ 1 y) (/ x (pow y 2)))))
(+.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y y)) (+.f64 x (/.f64 #s(literal 1 binary64) y))))
(- (+ 1 (+ (/ 1 (pow y 2)) (+ (/ x y) (/ x (pow y 3))))) (+ x (+ (/ 1 y) (+ (/ 1 (pow y 3)) (/ x (pow y 2))))))
(+.f64 (+.f64 (/.f64 x (*.f64 y (*.f64 y y))) (+.f64 #s(literal 1 binary64) (/.f64 x y))) (-.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) y)) y) (+.f64 x (/.f64 (/.f64 x y) y))))
(- 1 x)
(-.f64 #s(literal 1 binary64) x)
(- (+ 1 (/ x y)) (+ x (/ 1 y)))
(+.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) y) (-.f64 #s(literal 1 binary64) x))
(- (+ 1 (* -1 (/ (- (+ (* -1 (- x 1)) (/ x y)) (/ 1 y)) y))) x)
(+.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (*.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y))) y))
(- (+ 1 (* -1 (/ (+ (* -1 (- x 1)) (* -1 (/ (- (+ (* -1 (- x 1)) (/ x y)) (/ 1 y)) y))) y))) x)
(+.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (-.f64 (+.f64 x #s(literal -1 binary64)) (/.f64 (*.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y))) y)) y))
1
#s(literal 1 binary64)
(+ 1 (* -1 x))
(-.f64 #s(literal 1 binary64) x)
(+ 1 (* -1 x))
(-.f64 #s(literal 1 binary64) x)
(+ 1 (* -1 x))
(-.f64 #s(literal 1 binary64) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* x (- (/ 1 x) 1))
(-.f64 #s(literal 1 binary64) x)
(* x (- (/ 1 x) 1))
(-.f64 #s(literal 1 binary64) x)
(* x (- (/ 1 x) 1))
(-.f64 #s(literal 1 binary64) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* -1 (* x (- 1 (/ 1 x))))
(-.f64 #s(literal 1 binary64) x)
(* -1 (* x (- 1 (/ 1 x))))
(-.f64 #s(literal 1 binary64) x)
(* -1 (* x (- 1 (/ 1 x))))
(-.f64 #s(literal 1 binary64) x)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ (+ 1 y) y)
(/.f64 (+.f64 #s(literal 1 binary64) y) y)
(/ (+ 1 y) y)
(/.f64 (+.f64 #s(literal 1 binary64) y) y)
(/ (+ 1 y) y)
(/.f64 (+.f64 #s(literal 1 binary64) y) y)
1
#s(literal 1 binary64)
(+ 1 (/ 1 y))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y))
(+ 1 (/ 1 y))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y))
(+ 1 (/ 1 y))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y))
1
#s(literal 1 binary64)
(+ 1 (/ 1 y))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y))
(+ 1 (/ 1 y))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y))
(+ 1 (/ 1 y))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y))
x
x
x
x
x
x
x
x
x
x
x
x
1
#s(literal 1 binary64)
(+ 1 (* -1 y))
(-.f64 #s(literal 1 binary64) y)
(+ 1 (* y (- y 1)))
(+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 y #s(literal -1 binary64))))
(+ 1 (* y (- (* y (+ 1 (* -1 y))) 1)))
(+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal -1 binary64) (*.f64 y (-.f64 #s(literal 1 binary64) y)))))
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ (- 1 (/ 1 y)) y)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) y)
(/ (- (+ 1 (/ 1 (pow y 2))) (/ 1 y)) y)
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) y)) y)
(/ (- (+ 1 (/ 1 (pow y 2))) (+ (/ 1 y) (/ 1 (pow y 3)))) y)
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) y)) y)) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(* -1 (/ (- (/ 1 y) 1) y))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) y)
(* -1 (/ (- (* -1 (/ (- (/ 1 y) 1) y)) 1) y))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) y)) y)
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 y) 1) y)) 1) y)) 1) y))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) y)) y)) y)
y
(* y (+ 1 (* -1 y)))
(*.f64 y (-.f64 #s(literal 1 binary64) y))
(* y (+ 1 (* y (- y 1))))
(*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 y #s(literal -1 binary64)))))
(* y (+ 1 (* y (- (* y (+ 1 (* -1 y))) 1))))
(*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal -1 binary64) (*.f64 y (-.f64 #s(literal 1 binary64) y))))))
1
#s(literal 1 binary64)
(- 1 (/ 1 y))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y))
(- (+ 1 (/ 1 (pow y 2))) (/ 1 y))
(-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) y))
(- (+ 1 (/ 1 (pow y 2))) (+ (/ 1 y) (/ 1 (pow y 3))))
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) y)) y))
1
#s(literal 1 binary64)
(- 1 (/ 1 y))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y))
(+ 1 (* -1 (/ (- 1 (/ 1 y)) y)))
(-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) y))
(+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 y)) y))) y)))
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) y)) y))
1
#s(literal 1 binary64)
(+ 1 y)
(+.f64 #s(literal 1 binary64) y)
(+ 1 y)
(+.f64 #s(literal 1 binary64) y)
(+ 1 y)
(+.f64 #s(literal 1 binary64) y)
y
(* y (+ 1 (/ 1 y)))
(+.f64 #s(literal 1 binary64) y)
(* y (+ 1 (/ 1 y)))
(+.f64 #s(literal 1 binary64) y)
(* y (+ 1 (/ 1 y)))
(+.f64 #s(literal 1 binary64) y)
y
(* y (+ 1 (/ 1 y)))
(+.f64 #s(literal 1 binary64) y)
(* y (+ 1 (/ 1 y)))
(+.f64 #s(literal 1 binary64) y)
(* y (+ 1 (/ 1 y)))
(+.f64 #s(literal 1 binary64) y)
(* x y)
(*.f64 y x)
(* y (+ x (* -1 (* x y))))
(*.f64 y (*.f64 x (-.f64 #s(literal 1 binary64) y)))
(* y (+ x (* y (- (* x y) x))))
(*.f64 y (+.f64 x (*.f64 y (*.f64 x (+.f64 y #s(literal -1 binary64))))))
(* y (+ x (* y (- (* y (- (* -1 (* x y)) (* -1 x))) x))))
(*.f64 y (+.f64 x (*.f64 y (-.f64 (*.f64 y (*.f64 x (-.f64 #s(literal 1 binary64) y))) x))))
x
(+ x (* -1 (/ x y)))
(-.f64 x (/.f64 x y))
(- (+ x (/ x (pow y 2))) (/ x y))
(+.f64 x (/.f64 (-.f64 (/.f64 x y) x) y))
(- (+ x (* -1 (/ x (pow y 3)))) (+ (* -1 (/ x (pow y 2))) (/ x y)))
(-.f64 (*.f64 (/.f64 x y) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) y)) (-.f64 (/.f64 x y) x))
x
(+ x (* -1 (/ x y)))
(-.f64 x (/.f64 x y))
(+ x (* -1 (/ (+ x (* -1 (/ x y))) y)))
(+.f64 x (/.f64 (-.f64 (/.f64 x y) x) y))
(+ x (* -1 (/ (+ x (* -1 (/ (+ x (* -1 (/ x y))) y))) y)))
(+.f64 x (/.f64 (-.f64 (/.f64 (-.f64 x (/.f64 x y)) y) x) y))
(/ (* x y) (+ 1 y))
(*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) x)
(/ (* x y) (+ 1 y))
(*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) x)
(/ (* x y) (+ 1 y))
(*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) x)
(/ (* x y) (+ 1 y))
(*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) x)
(/ (* x y) (+ 1 y))
(*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) x)
(/ (* x y) (+ 1 y))
(*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) x)
(/ (* x y) (+ 1 y))
(*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) x)
(/ (* x y) (+ 1 y))
(*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) x)
(/ (* x y) (+ 1 y))
(*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) x)
(/ (* x y) (+ 1 y))
(*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) x)
(/ (* x y) (+ 1 y))
(*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) x)
(/ (* x y) (+ 1 y))
(*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
1
#s(literal 1 binary64)
(+ 1 y)
(+.f64 #s(literal 1 binary64) y)
(+ 1 y)
(+.f64 #s(literal 1 binary64) y)
(+ 1 y)
(+.f64 #s(literal 1 binary64) y)
y
(* y (+ 1 (/ 1 y)))
(+.f64 #s(literal 1 binary64) y)
(* y (+ 1 (/ 1 y)))
(+.f64 #s(literal 1 binary64) y)
(* y (+ 1 (/ 1 y)))
(+.f64 #s(literal 1 binary64) y)
y
(* y (+ 1 (/ 1 y)))
(+.f64 #s(literal 1 binary64) y)
(* y (+ 1 (/ 1 y)))
(+.f64 #s(literal 1 binary64) y)
(* y (+ 1 (/ 1 y)))
(+.f64 #s(literal 1 binary64) y)

eval136.0ms (1.7%)

Compiler

Compiled 21773 to 2497 computations (88.5% saved)

prune150.0ms (1.8%)

Pruning

12 alts after pruning (10 fresh and 2 done)

PrunedKeptTotal
New9757982
Fresh336
Picked325
Done000
Total98112993
Accuracy
100.0%
Counts
993 → 12
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶58.7%
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (+.f64 #s(literal 1 binary64) y) y)) (-.f64 #s(literal 1 binary64) x)) (/.f64 y (+.f64 #s(literal 1 binary64) y)))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (+.f64 #s(literal 1 binary64) y) y))))
12.7%
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) y)
49.2%
(/.f64 x (/.f64 (+.f64 #s(literal 1 binary64) y) y))
13.5%
(/.f64 #s(literal 1 binary64) y)
▶47.6%
(-.f64 x (/.f64 (+.f64 x #s(literal -1 binary64)) y))
▶36.9%
(-.f64 x (/.f64 x y))
✓42.2%
(-.f64 #s(literal 1 binary64) (/.f64 y (+.f64 y #s(literal 1 binary64))))
54.7%
(-.f64 #s(literal 1 binary64) (*.f64 y (-.f64 #s(literal 1 binary64) x)))
▶41.7%
(-.f64 #s(literal 1 binary64) y)
15.6%
(*.f64 y x)
▶36.9%
x
✓42.0%
#s(literal 1 binary64)
Compiler

Compiled 204 to 119 computations (41.7% saved)

simplify198.0ms (2.4%)

Algorithm
1×egg-herbie
Localize:

Found 10 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(+.f64 x #s(literal -1 binary64))
✓cost-diff0
(/.f64 (+.f64 x #s(literal -1 binary64)) y)
✓cost-diff0
(-.f64 x (/.f64 (+.f64 x #s(literal -1 binary64)) y))
✓cost-diff0
(/.f64 x y)
✓cost-diff0
(-.f64 x (/.f64 x y))
✓cost-diff0
(-.f64 #s(literal 1 binary64) y)
✓cost-diff0
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (+.f64 #s(literal 1 binary64) y) y)) (-.f64 #s(literal 1 binary64) x))
✓cost-diff0
(*.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (+.f64 #s(literal 1 binary64) y) y)) (-.f64 #s(literal 1 binary64) x)) (/.f64 y (+.f64 #s(literal 1 binary64) y)))
✓cost-diff0
(-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (+.f64 #s(literal 1 binary64) y) y)) (-.f64 #s(literal 1 binary64) x)) (/.f64 y (+.f64 #s(literal 1 binary64) y))))
✓cost-diff0
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (+.f64 #s(literal 1 binary64) y) y)) (-.f64 #s(literal 1 binary64) x)) (/.f64 y (+.f64 #s(literal 1 binary64) y)))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (+.f64 #s(literal 1 binary64) y) y))))
Rules
2906×*-lowering-*.f32
2906×*-lowering-*.f64
1832×sum5-define
1216×sum3-define
1128×fnmsub-define
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
020159
154157
2171155
3835155
45362155
08255155
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(/ (- 1 (* (* (/ (- 1 x) (/ (+ 1 y) y)) (- 1 x)) (/ y (+ 1 y)))) (+ 1 (/ (- 1 x) (/ (+ 1 y) y))))
(- 1 (* (* (/ (- 1 x) (/ (+ 1 y) y)) (- 1 x)) (/ y (+ 1 y))))
1
(* (* (/ (- 1 x) (/ (+ 1 y) y)) (- 1 x)) (/ y (+ 1 y)))
(* (/ (- 1 x) (/ (+ 1 y) y)) (- 1 x))
(/ (- 1 x) (/ (+ 1 y) y))
(- 1 x)
x
(/ (+ 1 y) y)
(+ 1 y)
y
(/ y (+ 1 y))
(+ 1 (/ (- 1 x) (/ (+ 1 y) y)))
x
(- 1 y)
1
y
(- x (/ x y))
x
(/ x y)
y
(- x (/ (+ x -1) y))
x
(/ (+ x -1) y)
(+ x -1)
-1
y
Outputs
(/ (- 1 (* (* (/ (- 1 x) (/ (+ 1 y) y)) (- 1 x)) (/ y (+ 1 y)))) (+ 1 (/ (- 1 x) (/ (+ 1 y) y))))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (/.f64 (*.f64 y (*.f64 (-.f64 #s(literal 1 binary64) x) y)) (+.f64 #s(literal 1 binary64) y)) (-.f64 #s(literal -1 binary64) y)))) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 #s(literal 1 binary64) y))))
(- 1 (* (* (/ (- 1 x) (/ (+ 1 y) y)) (- 1 x)) (/ y (+ 1 y))))
(+.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (/.f64 (*.f64 y (*.f64 (-.f64 #s(literal 1 binary64) x) y)) (+.f64 #s(literal 1 binary64) y)) (-.f64 #s(literal -1 binary64) y))))
1
#s(literal 1 binary64)
(* (* (/ (- 1 x) (/ (+ 1 y) y)) (- 1 x)) (/ y (+ 1 y)))
(*.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (/.f64 (*.f64 y (*.f64 (-.f64 #s(literal 1 binary64) x) y)) (+.f64 #s(literal 1 binary64) y)) (+.f64 #s(literal 1 binary64) y)))
(* (/ (- 1 x) (/ (+ 1 y) y)) (- 1 x))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (/.f64 (+.f64 #s(literal 1 binary64) y) y))
(/ (- 1 x) (/ (+ 1 y) y))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 #s(literal 1 binary64) y))
(- 1 x)
(-.f64 #s(literal 1 binary64) x)
x
(/ (+ 1 y) y)
(/.f64 (+.f64 #s(literal 1 binary64) y) y)
(+ 1 y)
(+.f64 #s(literal 1 binary64) y)
y
(/ y (+ 1 y))
(/.f64 y (+.f64 #s(literal 1 binary64) y))
(+ 1 (/ (- 1 x) (/ (+ 1 y) y)))
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 #s(literal 1 binary64) y)))
x
(- 1 y)
(-.f64 #s(literal 1 binary64) y)
1
#s(literal 1 binary64)
y
(- x (/ x y))
(-.f64 x (/.f64 x y))
x
(/ x y)
(/.f64 x y)
y
(- x (/ (+ x -1) y))
(+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) x) y))
x
(/ (+ x -1) y)
(/.f64 (+.f64 x #s(literal -1 binary64)) y)
(+ x -1)
(+.f64 x #s(literal -1 binary64))
-1
#s(literal -1 binary64)
y

localize137.0ms (1.7%)

Localize:

Found 10 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(+.f64 x #s(literal -1 binary64))
✓accuracy100.0%
(/.f64 (+.f64 x #s(literal -1 binary64)) y)
✓accuracy100.0%
(-.f64 x (/.f64 (+.f64 x #s(literal -1 binary64)) y))
✓accuracy100.0%
(/.f64 x y)
✓accuracy100.0%
(-.f64 x (/.f64 x y))
✓accuracy100.0%
(-.f64 #s(literal 1 binary64) y)
✓accuracy99.9%
(/.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (+.f64 #s(literal 1 binary64) y) y))
✓accuracy97.3%
(*.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (+.f64 #s(literal 1 binary64) y) y)) (-.f64 #s(literal 1 binary64) x)) (/.f64 y (+.f64 #s(literal 1 binary64) y)))
✓accuracy82.1%
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (+.f64 #s(literal 1 binary64) y) y)) (-.f64 #s(literal 1 binary64) x)) (/.f64 y (+.f64 #s(literal 1 binary64) y)))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (+.f64 #s(literal 1 binary64) y) y))))
✓accuracy79.3%
(-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (+.f64 #s(literal 1 binary64) y) y)) (-.f64 #s(literal 1 binary64) x)) (/.f64 y (+.f64 #s(literal 1 binary64) y))))
Results
48.0ms200×0valid
20.0ms48×1valid
5.0ms8×2valid
Compiler

Compiled 162 to 21 computations (87% saved)

Precisions
Click to see histograms. Total time spent on operations: 32.0ms
ival-div: 12.0ms (37.1% of total)
ival-sub: 8.0ms (24.7% of total)
ival-add: 5.0ms (15.4% of total)
ival-mult: 4.0ms (12.4% of total)
backward-pass: 3.0ms (9.3% of total)
const: 1.0ms (3.1% of total)

series31.0ms (0.4%)

Counts
11 → 240
Calls
Call 1
Inputs
#<alt (/ (- 1 (* (* (/ (- 1 x) (/ (+ 1 y) y)) (- 1 x)) (/ y (+ 1 y)))) (+ 1 (/ (- 1 x) (/ (+ 1 y) y))))>
#<alt (- 1 (* (* (/ (- 1 x) (/ (+ 1 y) y)) (- 1 x)) (/ y (+ 1 y))))>
#<alt (* (* (/ (- 1 x) (/ (+ 1 y) y)) (- 1 x)) (/ y (+ 1 y)))>
#<alt (* (/ (- 1 x) (/ (+ 1 y) y)) (- 1 x))>
#<alt (- 1 y)>
#<alt (- x (/ x y))>
#<alt (/ x y)>
#<alt (- x (/ (+ x -1) y))>
#<alt (/ (+ x -1) y)>
#<alt (+ x -1)>
#<alt (/ (- 1 x) (/ (+ 1 y) y))>
Outputs
#<alt (/ (- 1 (/ (pow y 2) (pow (+ 1 y) 2))) (+ 1 (/ y (+ 1 y))))>
#<alt (- (+ (* x (- (* 2 (/ (pow y 2) (* (pow (+ 1 y) 2) (+ 1 (/ y (+ 1 y)))))) (* -1 (/ (* y (- 1 (/ (pow y 2) (pow (+ 1 y) 2)))) (* (+ 1 y) (pow (+ 1 (/ y (+ 1 y))) 2)))))) (/ 1 (+ 1 (/ y (+ 1 y))))) (/ (pow y 2) (* (pow (+ 1 y) 2) (+ 1 (/ y (+ 1 y))))))>
#<alt (- (+ (* x (- (+ (* 2 (/ (pow y 2) (* (pow (+ 1 y) 2) (+ 1 (/ y (+ 1 y)))))) (* x (- (* -1 (/ (pow y 2) (* (pow (+ 1 y) 2) (+ 1 (/ y (+ 1 y)))))) (* -1 (/ (* y (- (* 2 (/ (pow y 2) (* (pow (+ 1 y) 2) (+ 1 (/ y (+ 1 y)))))) (* -1 (/ (* y (- 1 (/ (pow y 2) (pow (+ 1 y) 2)))) (* (+ 1 y) (pow (+ 1 (/ y (+ 1 y))) 2)))))) (* (+ 1 y) (+ 1 (/ y (+ 1 y))))))))) (* -1 (/ (* y (- 1 (/ (pow y 2) (pow (+ 1 y) 2)))) (* (+ 1 y) (pow (+ 1 (/ y (+ 1 y))) 2)))))) (/ 1 (+ 1 (/ y (+ 1 y))))) (/ (pow y 2) (* (pow (+ 1 y) 2) (+ 1 (/ y (+ 1 y))))))>
#<alt (- (+ (* x (- (+ (* 2 (/ (pow y 2) (* (pow (+ 1 y) 2) (+ 1 (/ y (+ 1 y)))))) (* x (- (+ (* -1 (/ (pow y 2) (* (pow (+ 1 y) 2) (+ 1 (/ y (+ 1 y)))))) (/ (* x (* y (- (* -1 (/ (pow y 2) (* (pow (+ 1 y) 2) (+ 1 (/ y (+ 1 y)))))) (* -1 (/ (* y (- (* 2 (/ (pow y 2) (* (pow (+ 1 y) 2) (+ 1 (/ y (+ 1 y)))))) (* -1 (/ (* y (- 1 (/ (pow y 2) (pow (+ 1 y) 2)))) (* (+ 1 y) (pow (+ 1 (/ y (+ 1 y))) 2)))))) (* (+ 1 y) (+ 1 (/ y (+ 1 y))))))))) (* (+ 1 y) (+ 1 (/ y (+ 1 y)))))) (* -1 (/ (* y (- (* 2 (/ (pow y 2) (* (pow (+ 1 y) 2) (+ 1 (/ y (+ 1 y)))))) (* -1 (/ (* y (- 1 (/ (pow y 2) (pow (+ 1 y) 2)))) (* (+ 1 y) (pow (+ 1 (/ y (+ 1 y))) 2)))))) (* (+ 1 y) (+ 1 (/ y (+ 1 y))))))))) (* -1 (/ (* y (- 1 (/ (pow y 2) (pow (+ 1 y) 2)))) (* (+ 1 y) (pow (+ 1 (/ y (+ 1 y))) 2)))))) (/ 1 (+ 1 (/ y (+ 1 y))))) (/ (pow y 2) (* (pow (+ 1 y) 2) (+ 1 (/ y (+ 1 y))))))>
#<alt (/ (* x y) (+ 1 y))>
#<alt (* x (- (+ (* -2 (/ y (* x (+ 1 y)))) (/ y (+ 1 y))) (* -1 (/ (+ 1 (/ y (+ 1 y))) x))))>
#<alt (* x (- (+ (* -2 (/ y (* x (+ 1 y)))) (+ (* -1 (/ (* (+ 1 y) (- 1 (/ (pow y 2) (pow (+ 1 y) 2)))) (* (pow x 2) y))) (/ y (+ 1 y)))) (+ (* -1 (/ (* (+ 1 y) (* (+ 1 (/ y (+ 1 y))) (- (* -2 (/ y (+ 1 y))) (* -1 (+ 1 (/ y (+ 1 y))))))) (* (pow x 2) y))) (* -1 (/ (+ 1 (/ y (+ 1 y))) x)))))>
#<alt (* x (- (+ (* -2 (/ y (* x (+ 1 y)))) (+ (* -1 (/ (* (+ 1 y) (- 1 (/ (pow y 2) (pow (+ 1 y) 2)))) (* (pow x 2) y))) (+ (/ y (+ 1 y)) (/ (* (+ 1 y) (* (+ 1 (/ y (+ 1 y))) (- (* -1 (/ (* (+ 1 y) (- 1 (/ (pow y 2) (pow (+ 1 y) 2)))) y)) (* -1 (/ (* (+ 1 y) (* (+ 1 (/ y (+ 1 y))) (- (* -2 (/ y (+ 1 y))) (* -1 (+ 1 (/ y (+ 1 y))))))) y))))) (* (pow x 3) y))))) (+ (* -1 (/ (* (+ 1 y) (* (+ 1 (/ y (+ 1 y))) (- (* -2 (/ y (+ 1 y))) (* -1 (+ 1 (/ y (+ 1 y))))))) (* (pow x 2) y))) (* -1 (/ (+ 1 (/ y (+ 1 y))) x)))))>
#<alt (/ (* x y) (+ 1 y))>
#<alt (* -1 (* x (+ (* -1 (/ y (+ 1 y))) (* -1 (/ (- (* -2 (/ y (+ 1 y))) (* -1 (+ 1 (/ y (+ 1 y))))) x)))))>
#<alt (* -1 (* x (+ (* -1 (/ y (+ 1 y))) (* -1 (/ (- (+ (* -2 (/ y (+ 1 y))) (* -1 (/ (- (/ (* (+ 1 y) (- 1 (/ (pow y 2) (pow (+ 1 y) 2)))) y) (/ (* (+ 1 y) (* (+ 1 (/ y (+ 1 y))) (- (* -2 (/ y (+ 1 y))) (* -1 (+ 1 (/ y (+ 1 y))))))) y)) x))) (* -1 (+ 1 (/ y (+ 1 y))))) x)))))>
#<alt (* -1 (* x (+ (* -1 (/ y (+ 1 y))) (* -1 (/ (- (+ (* -2 (/ y (+ 1 y))) (* -1 (/ (- (+ (/ (* (+ 1 y) (* (+ 1 (/ y (+ 1 y))) (- (/ (* (+ 1 y) (- 1 (/ (pow y 2) (pow (+ 1 y) 2)))) y) (/ (* (+ 1 y) (* (+ 1 (/ y (+ 1 y))) (- (* -2 (/ y (+ 1 y))) (* -1 (+ 1 (/ y (+ 1 y))))))) y)))) (* x y)) (/ (* (+ 1 y) (- 1 (/ (pow y 2) (pow (+ 1 y) 2)))) y)) (/ (* (+ 1 y) (* (+ 1 (/ y (+ 1 y))) (- (* -2 (/ y (+ 1 y))) (* -1 (+ 1 (/ y (+ 1 y))))))) y)) x))) (* -1 (+ 1 (/ y (+ 1 y))))) x)))))>
#<alt 1>
#<alt (+ 1 (* y (- x 1)))>
#<alt (+ 1 (* y (- (+ x (* y (- (+ 1 (* -1 (pow (- 1 x) 2))) (+ x (* (- 1 x) (- x 1)))))) 1)))>
#<alt (+ 1 (* y (- (+ x (* y (- (+ 1 (+ (* -1 (pow (- 1 x) 2)) (* y (- (+ x (* 2 (pow (- 1 x) 2))) (+ 1 (+ (* (- 1 x) (- (+ 1 (* -1 (pow (- 1 x) 2))) (+ x (* (- 1 x) (- x 1))))) (pow (- x 1) 2))))))) (+ x (* (- 1 x) (- x 1)))))) 1)))>
#<alt (/ (- 1 (pow (- 1 x) 2)) (- 2 x))>
#<alt (- (+ (* 2 (/ (pow (- 1 x) 2) (* y (- 2 x)))) (/ 1 (- 2 x))) (+ (/ (* (- 1 (pow (- 1 x) 2)) (- x 1)) (* y (pow (- 2 x) 2))) (/ (pow (- 1 x) 2) (- 2 x))))>
#<alt (- (+ (* -4 (/ (pow (- 1 x) 2) (* (pow y 2) (- 2 x)))) (+ (* 2 (/ (pow (- 1 x) 2) (* y (- 2 x)))) (+ (/ 1 (- 2 x)) (/ (pow (- 1 x) 2) (* (pow y 2) (- 2 x)))))) (+ (/ (* (+ 1 (* -1 x)) (- 1 (pow (- 1 x) 2))) (* (pow y 2) (pow (- 2 x) 2))) (+ (/ (* (- 1 (pow (- 1 x) 2)) (- x 1)) (* y (pow (- 2 x) 2))) (+ (/ (* (- x 1) (- (* 2 (/ (pow (- 1 x) 2) (- 2 x))) (/ (* (- 1 (pow (- 1 x) 2)) (- x 1)) (pow (- 2 x) 2)))) (* (pow y 2) (- 2 x))) (/ (pow (- 1 x) 2) (- 2 x))))))>
#<alt (- (+ (* -4 (/ (pow (- 1 x) 2) (* (pow y 2) (- 2 x)))) (+ (* -2 (/ (+ (* -4 (pow (- 1 x) 2)) (pow (- 1 x) 2)) (* (pow y 3) (- 2 x)))) (+ (* -2 (/ (pow (- 1 x) 2) (* (pow y 3) (- 2 x)))) (+ (* 2 (/ (pow (- 1 x) 2) (* y (- 2 x)))) (+ (/ 1 (- 2 x)) (/ (pow (- 1 x) 2) (* (pow y 2) (- 2 x)))))))) (+ (/ (* (+ 1 (* -1 x)) (- 1 (pow (- 1 x) 2))) (* (pow y 2) (pow (- 2 x) 2))) (+ (/ (* (+ 1 (* -1 x)) (- (* 2 (/ (pow (- 1 x) 2) (- 2 x))) (/ (* (- 1 (pow (- 1 x) 2)) (- x 1)) (pow (- 2 x) 2)))) (* (pow y 3) (- 2 x))) (+ (/ (* (- 1 (pow (- 1 x) 2)) (- x 1)) (* y (pow (- 2 x) 2))) (+ (/ (* (- 1 (pow (- 1 x) 2)) (- x 1)) (* (pow y 3) (pow (- 2 x) 2))) (+ (/ (* (- x 1) (- (* 2 (/ (pow (- 1 x) 2) (- 2 x))) (/ (* (- 1 (pow (- 1 x) 2)) (- x 1)) (pow (- 2 x) 2)))) (* (pow y 2) (- 2 x))) (+ (/ (* (- x 1) (- (+ (* -4 (/ (pow (- 1 x) 2) (- 2 x))) (/ (pow (- 1 x) 2) (- 2 x))) (+ (/ (* (+ 1 (* -1 x)) (- 1 (pow (- 1 x) 2))) (pow (- 2 x) 2)) (/ (* (- x 1) (- (* 2 (/ (pow (- 1 x) 2) (- 2 x))) (/ (* (- 1 (pow (- 1 x) 2)) (- x 1)) (pow (- 2 x) 2)))) (- 2 x))))) (* (pow y 3) (- 2 x))) (/ (pow (- 1 x) 2) (- 2 x)))))))))>
#<alt (/ (- 1 (pow (- 1 x) 2)) (- 2 x))>
#<alt (- (+ (* -1 (/ (- (* -2 (/ (pow (- 1 x) 2) (- 2 x))) (* -1 (/ (* (- 1 (pow (- 1 x) 2)) (- x 1)) (pow (- 2 x) 2)))) y)) (/ 1 (- 2 x))) (/ (pow (- 1 x) 2) (- 2 x)))>
#<alt (- (+ (* -1 (/ (- (+ (* -2 (/ (pow (- 1 x) 2) (- 2 x))) (* -1 (/ (- (+ (* -4 (/ (pow (- 1 x) 2) (- 2 x))) (/ (pow (- 1 x) 2) (- 2 x))) (+ (* -1 (/ (* (- 1 (pow (- 1 x) 2)) (- x 1)) (pow (- 2 x) 2))) (* -1 (/ (* (- x 1) (- (* -2 (/ (pow (- 1 x) 2) (- 2 x))) (* -1 (/ (* (- 1 (pow (- 1 x) 2)) (- x 1)) (pow (- 2 x) 2))))) (- 2 x))))) y))) (* -1 (/ (* (- 1 (pow (- 1 x) 2)) (- x 1)) (pow (- 2 x) 2)))) y)) (/ 1 (- 2 x))) (/ (pow (- 1 x) 2) (- 2 x)))>
#<alt (- (+ (* -1 (/ (- (+ (* -2 (/ (pow (- 1 x) 2) (- 2 x))) (* -1 (/ (- (+ (* -4 (/ (pow (- 1 x) 2) (- 2 x))) (+ (* -1 (/ (- (+ (* 2 (/ (+ (* -4 (pow (- 1 x) 2)) (pow (- 1 x) 2)) (- 2 x))) (* 2 (/ (pow (- 1 x) 2) (- 2 x)))) (+ (* -1 (/ (* (- 1 (pow (- 1 x) 2)) (- x 1)) (pow (- 2 x) 2))) (+ (* -1 (/ (* (- x 1) (- (* -2 (/ (pow (- 1 x) 2) (- 2 x))) (* -1 (/ (* (- 1 (pow (- 1 x) 2)) (- x 1)) (pow (- 2 x) 2))))) (- 2 x))) (* -1 (/ (* (- x 1) (- (+ (* -4 (/ (pow (- 1 x) 2) (- 2 x))) (/ (pow (- 1 x) 2) (- 2 x))) (+ (* -1 (/ (* (- 1 (pow (- 1 x) 2)) (- x 1)) (pow (- 2 x) 2))) (* -1 (/ (* (- x 1) (- (* -2 (/ (pow (- 1 x) 2) (- 2 x))) (* -1 (/ (* (- 1 (pow (- 1 x) 2)) (- x 1)) (pow (- 2 x) 2))))) (- 2 x)))))) (- 2 x)))))) y)) (/ (pow (- 1 x) 2) (- 2 x)))) (+ (* -1 (/ (* (- 1 (pow (- 1 x) 2)) (- x 1)) (pow (- 2 x) 2))) (* -1 (/ (* (- x 1) (- (* -2 (/ (pow (- 1 x) 2) (- 2 x))) (* -1 (/ (* (- 1 (pow (- 1 x) 2)) (- x 1)) (pow (- 2 x) 2))))) (- 2 x))))) y))) (* -1 (/ (* (- 1 (pow (- 1 x) 2)) (- x 1)) (pow (- 2 x) 2)))) y)) (/ 1 (- 2 x))) (/ (pow (- 1 x) 2) (- 2 x)))>
#<alt (- 1 (/ (pow y 2) (pow (+ 1 y) 2)))>
#<alt (- (+ 1 (* 2 (/ (* x (pow y 2)) (pow (+ 1 y) 2)))) (/ (pow y 2) (pow (+ 1 y) 2)))>
#<alt (- (+ 1 (* x (- (* -1 (/ (* x (pow y 2)) (pow (+ 1 y) 2))) (* -2 (/ (pow y 2) (pow (+ 1 y) 2)))))) (/ (pow y 2) (pow (+ 1 y) 2)))>
#<alt (- (+ 1 (* x (- (* -1 (/ (* x (pow y 2)) (pow (+ 1 y) 2))) (* -2 (/ (pow y 2) (pow (+ 1 y) 2)))))) (/ (pow y 2) (pow (+ 1 y) 2)))>
#<alt (* -1 (/ (* (pow x 2) (pow y 2)) (pow (+ 1 y) 2)))>
#<alt (* (pow x 2) (- (* 2 (/ (pow y 2) (* x (pow (+ 1 y) 2)))) (/ (pow y 2) (pow (+ 1 y) 2))))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) (+ (* -2 (/ (pow y 2) (* x (pow (+ 1 y) 2)))) (+ (/ (pow y 2) (* (pow x 2) (pow (+ 1 y) 2))) (/ (pow y 2) (pow (+ 1 y) 2))))))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) (+ (* -2 (/ (pow y 2) (* x (pow (+ 1 y) 2)))) (+ (/ (pow y 2) (* (pow x 2) (pow (+ 1 y) 2))) (/ (pow y 2) (pow (+ 1 y) 2))))))>
#<alt (* -1 (/ (* (pow x 2) (pow y 2)) (pow (+ 1 y) 2)))>
#<alt (* (pow x 2) (- (* 2 (/ (pow y 2) (* x (pow (+ 1 y) 2)))) (/ (pow y 2) (pow (+ 1 y) 2))))>
#<alt (* (pow x 2) (- (* -1 (/ (- (* -1 (/ (- 1 (/ (pow y 2) (pow (+ 1 y) 2))) x)) (* 2 (/ (pow y 2) (pow (+ 1 y) 2)))) x)) (/ (pow y 2) (pow (+ 1 y) 2))))>
#<alt (* (pow x 2) (- (* -1 (/ (- (* -1 (/ (- 1 (/ (pow y 2) (pow (+ 1 y) 2))) x)) (* 2 (/ (pow y 2) (pow (+ 1 y) 2)))) x)) (/ (pow y 2) (pow (+ 1 y) 2))))>
#<alt 1>
#<alt (+ 1 (* -1 (* (pow y 2) (pow (- 1 x) 2))))>
#<alt (+ 1 (* (pow y 2) (- (* 2 (* y (pow (- 1 x) 2))) (pow (- 1 x) 2))))>
#<alt (+ 1 (* (pow y 2) (- (* y (+ (* 2 (pow (- 1 x) 2)) (* y (+ (* -4 (pow (- 1 x) 2)) (pow (- 1 x) 2))))) (pow (- 1 x) 2))))>
#<alt (- 1 (pow (- 1 x) 2))>
#<alt (- (+ 1 (* 2 (/ (pow (- 1 x) 2) y))) (pow (- 1 x) 2))>
#<alt (- (+ 1 (+ (* -4 (/ (pow (- 1 x) 2) (pow y 2))) (+ (* 2 (/ (pow (- 1 x) 2) y)) (/ (pow (- 1 x) 2) (pow y 2))))) (pow (- 1 x) 2))>
#<alt (- (+ 1 (+ (* -4 (/ (pow (- 1 x) 2) (pow y 2))) (+ (* -2 (/ (+ (* -4 (pow (- 1 x) 2)) (pow (- 1 x) 2)) (pow y 3))) (+ (* -2 (/ (pow (- 1 x) 2) (pow y 3))) (+ (* 2 (/ (pow (- 1 x) 2) y)) (/ (pow (- 1 x) 2) (pow y 2))))))) (pow (- 1 x) 2))>
#<alt (- 1 (pow (- 1 x) 2))>
#<alt (- (+ 1 (* 2 (/ (pow (- 1 x) 2) y))) (pow (- 1 x) 2))>
#<alt (- (+ 1 (* -1 (/ (+ (* -2 (pow (- 1 x) 2)) (* -1 (/ (+ (* -4 (pow (- 1 x) 2)) (pow (- 1 x) 2)) y))) y))) (pow (- 1 x) 2))>
#<alt (- (+ 1 (* -1 (/ (+ (* -2 (pow (- 1 x) 2)) (* -1 (/ (+ (* -4 (pow (- 1 x) 2)) (+ (* -1 (/ (+ (* 2 (+ (* -4 (pow (- 1 x) 2)) (pow (- 1 x) 2))) (* 2 (pow (- 1 x) 2))) y)) (pow (- 1 x) 2))) y))) y))) (pow (- 1 x) 2))>
#<alt (/ (pow y 2) (pow (+ 1 y) 2))>
#<alt (+ (* -2 (/ (* x (pow y 2)) (pow (+ 1 y) 2))) (/ (pow y 2) (pow (+ 1 y) 2)))>
#<alt (+ (* x (+ (* -2 (/ (pow y 2) (pow (+ 1 y) 2))) (/ (* x (pow y 2)) (pow (+ 1 y) 2)))) (/ (pow y 2) (pow (+ 1 y) 2)))>
#<alt (+ (* x (+ (* -2 (/ (pow y 2) (pow (+ 1 y) 2))) (/ (* x (pow y 2)) (pow (+ 1 y) 2)))) (/ (pow y 2) (pow (+ 1 y) 2)))>
#<alt (/ (* (pow x 2) (pow y 2)) (pow (+ 1 y) 2))>
#<alt (* (pow x 2) (+ (* -2 (/ (pow y 2) (* x (pow (+ 1 y) 2)))) (/ (pow y 2) (pow (+ 1 y) 2))))>
#<alt (* (pow x 2) (+ (* -2 (/ (pow y 2) (* x (pow (+ 1 y) 2)))) (+ (/ (pow y 2) (* (pow x 2) (pow (+ 1 y) 2))) (/ (pow y 2) (pow (+ 1 y) 2)))))>
#<alt (* (pow x 2) (+ (* -2 (/ (pow y 2) (* x (pow (+ 1 y) 2)))) (+ (/ (pow y 2) (* (pow x 2) (pow (+ 1 y) 2))) (/ (pow y 2) (pow (+ 1 y) 2)))))>
#<alt (/ (* (pow x 2) (pow y 2)) (pow (+ 1 y) 2))>
#<alt (* (pow x 2) (+ (* -2 (/ (pow y 2) (* x (pow (+ 1 y) 2)))) (/ (pow y 2) (pow (+ 1 y) 2))))>
#<alt (* (pow x 2) (+ (* -1 (/ (+ (* -1 (/ (pow y 2) (* x (pow (+ 1 y) 2)))) (* 2 (/ (pow y 2) (pow (+ 1 y) 2)))) x)) (/ (pow y 2) (pow (+ 1 y) 2))))>
#<alt (* (pow x 2) (+ (* -1 (/ (+ (* -1 (/ (pow y 2) (* x (pow (+ 1 y) 2)))) (* 2 (/ (pow y 2) (pow (+ 1 y) 2)))) x)) (/ (pow y 2) (pow (+ 1 y) 2))))>
#<alt (* (pow y 2) (pow (- 1 x) 2))>
#<alt (* (pow y 2) (+ (* -2 (* y (pow (- 1 x) 2))) (pow (- 1 x) 2)))>
#<alt (* (pow y 2) (+ (* y (- (* -1 (* y (+ (* -4 (pow (- 1 x) 2)) (pow (- 1 x) 2)))) (* 2 (pow (- 1 x) 2)))) (pow (- 1 x) 2)))>
#<alt (* (pow y 2) (+ (* y (- (* y (- (* -1 (* y (+ (* -2 (+ (* -4 (pow (- 1 x) 2)) (pow (- 1 x) 2))) (* -2 (pow (- 1 x) 2))))) (+ (* -4 (pow (- 1 x) 2)) (pow (- 1 x) 2)))) (* 2 (pow (- 1 x) 2)))) (pow (- 1 x) 2)))>
#<alt (pow (- 1 x) 2)>
#<alt (+ (* -2 (/ (pow (- 1 x) 2) y)) (pow (- 1 x) 2))>
#<alt (- (+ (* -1 (/ (+ (* -4 (pow (- 1 x) 2)) (pow (- 1 x) 2)) (pow y 2))) (pow (- 1 x) 2)) (* 2 (/ (pow (- 1 x) 2) y)))>
#<alt (- (+ (* -1 (/ (+ (* -2 (+ (* -4 (pow (- 1 x) 2)) (pow (- 1 x) 2))) (* -2 (pow (- 1 x) 2))) (pow y 3))) (pow (- 1 x) 2)) (+ (* -4 (/ (pow (- 1 x) 2) (pow y 2))) (+ (* 2 (/ (pow (- 1 x) 2) y)) (/ (pow (- 1 x) 2) (pow y 2)))))>
#<alt (pow (- 1 x) 2)>
#<alt (+ (* -2 (/ (pow (- 1 x) 2) y)) (pow (- 1 x) 2))>
#<alt (+ (* -1 (/ (- (+ (* -4 (/ (pow (- 1 x) 2) y)) (/ (pow (- 1 x) 2) y)) (* -2 (pow (- 1 x) 2))) y)) (pow (- 1 x) 2))>
#<alt (+ (* -1 (/ (- (* -1 (/ (- (+ (* 2 (/ (+ (* -4 (pow (- 1 x) 2)) (pow (- 1 x) 2)) y)) (* 2 (/ (pow (- 1 x) 2) y))) (+ (* -4 (pow (- 1 x) 2)) (pow (- 1 x) 2))) y)) (* -2 (pow (- 1 x) 2))) y)) (pow (- 1 x) 2))>
#<alt (/ y (+ 1 y))>
#<alt (+ (* -2 (/ (* x y) (+ 1 y))) (/ y (+ 1 y)))>
#<alt (+ (* x (+ (* -2 (/ y (+ 1 y))) (/ (* x y) (+ 1 y)))) (/ y (+ 1 y)))>
#<alt (+ (* x (+ (* -2 (/ y (+ 1 y))) (/ (* x y) (+ 1 y)))) (/ y (+ 1 y)))>
#<alt (/ (* (pow x 2) y) (+ 1 y))>
#<alt (* (pow x 2) (+ (* -2 (/ y (* x (+ 1 y)))) (/ y (+ 1 y))))>
#<alt (* (pow x 2) (+ (* -2 (/ y (* x (+ 1 y)))) (+ (/ y (* (pow x 2) (+ 1 y))) (/ y (+ 1 y)))))>
#<alt (* (pow x 2) (+ (* -2 (/ y (* x (+ 1 y)))) (+ (/ y (* (pow x 2) (+ 1 y))) (/ y (+ 1 y)))))>
#<alt (/ (* (pow x 2) y) (+ 1 y))>
#<alt (* (pow x 2) (+ (* -2 (/ y (* x (+ 1 y)))) (/ y (+ 1 y))))>
#<alt (* (pow x 2) (+ (* -1 (/ (+ (* -1 (/ y (* x (+ 1 y)))) (* 2 (/ y (+ 1 y)))) x)) (/ y (+ 1 y))))>
#<alt (* (pow x 2) (+ (* -1 (/ (+ (* -1 (/ y (* x (+ 1 y)))) (* 2 (/ y (+ 1 y)))) x)) (/ y (+ 1 y))))>
#<alt (* y (pow (- 1 x) 2))>
#<alt (* y (+ (* -1 (* y (pow (- 1 x) 2))) (pow (- 1 x) 2)))>
#<alt (* y (+ (* y (- (* y (pow (- 1 x) 2)) (pow (- 1 x) 2))) (pow (- 1 x) 2)))>
#<alt (* y (+ (* y (- (* y (- (* -1 (* y (pow (- 1 x) 2))) (* -1 (pow (- 1 x) 2)))) (pow (- 1 x) 2))) (pow (- 1 x) 2)))>
#<alt (pow (- 1 x) 2)>
#<alt (+ (* -1 (/ (pow (- 1 x) 2) y)) (pow (- 1 x) 2))>
#<alt (- (+ (/ (pow (- 1 x) 2) (pow y 2)) (pow (- 1 x) 2)) (/ (pow (- 1 x) 2) y))>
#<alt (- (+ (* -1 (/ (pow (- 1 x) 2) (pow y 3))) (pow (- 1 x) 2)) (+ (* -1 (/ (pow (- 1 x) 2) (pow y 2))) (/ (pow (- 1 x) 2) y)))>
#<alt (pow (- 1 x) 2)>
#<alt (+ (* -1 (/ (pow (- 1 x) 2) y)) (pow (- 1 x) 2))>
#<alt (+ (* -1 (/ (+ (* -1 (/ (pow (- 1 x) 2) y)) (pow (- 1 x) 2)) y)) (pow (- 1 x) 2))>
#<alt (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (pow (- 1 x) 2) y)) (pow (- 1 x) 2)) y)) (pow (- 1 x) 2)) y)) (pow (- 1 x) 2))>
#<alt 1>
#<alt (+ 1 (* -1 y))>
#<alt (+ 1 (* -1 y))>
#<alt (+ 1 (* -1 y))>
#<alt (* -1 y)>
#<alt (* y (- (/ 1 y) 1))>
#<alt (* y (- (/ 1 y) 1))>
#<alt (* y (- (/ 1 y) 1))>
#<alt (* -1 y)>
#<alt (* -1 (* y (- 1 (/ 1 y))))>
#<alt (* -1 (* y (- 1 (/ 1 y))))>
#<alt (* -1 (* y (- 1 (/ 1 y))))>
#<alt (* x (- 1 (/ 1 y)))>
#<alt (* x (- 1 (/ 1 y)))>
#<alt (* x (- 1 (/ 1 y)))>
#<alt (* x (- 1 (/ 1 y)))>
#<alt (* x (- 1 (/ 1 y)))>
#<alt (* x (- 1 (/ 1 y)))>
#<alt (* x (- 1 (/ 1 y)))>
#<alt (* x (- 1 (/ 1 y)))>
#<alt (* -1 (* x (- (/ 1 y) 1)))>
#<alt (* -1 (* x (- (/ 1 y) 1)))>
#<alt (* -1 (* x (- (/ 1 y) 1)))>
#<alt (* -1 (* x (- (/ 1 y) 1)))>
#<alt (* -1 (/ x y))>
#<alt (/ (- (* x y) x) y)>
#<alt (/ (- (* x y) x) y)>
#<alt (/ (- (* x y) x) y)>
#<alt x>
#<alt (+ x (* -1 (/ x y)))>
#<alt (+ x (* -1 (/ x y)))>
#<alt (+ x (* -1 (/ x y)))>
#<alt x>
#<alt (+ x (* -1 (/ x y)))>
#<alt (+ x (* -1 (/ x y)))>
#<alt (+ x (* -1 (/ x y)))>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ 1 y)>
#<alt (+ (* x (- 1 (/ 1 y))) (/ 1 y))>
#<alt (+ (* x (- 1 (/ 1 y))) (/ 1 y))>
#<alt (+ (* x (- 1 (/ 1 y))) (/ 1 y))>
#<alt (* x (- 1 (/ 1 y)))>
#<alt (* x (- (+ 1 (/ 1 (* x y))) (/ 1 y)))>
#<alt (* x (- (+ 1 (/ 1 (* x y))) (/ 1 y)))>
#<alt (* x (- (+ 1 (/ 1 (* x y))) (/ 1 y)))>
#<alt (* -1 (* x (- (/ 1 y) 1)))>
#<alt (* -1 (* x (- (/ 1 y) (+ 1 (/ 1 (* x y))))))>
#<alt (* -1 (* x (- (/ 1 y) (+ 1 (/ 1 (* x y))))))>
#<alt (* -1 (* x (- (/ 1 y) (+ 1 (/ 1 (* x y))))))>
#<alt (/ (- 1 x) y)>
#<alt (/ (- (+ 1 (* x y)) x) y)>
#<alt (/ (- (+ 1 (* x y)) x) y)>
#<alt (/ (- (+ 1 (* x y)) x) y)>
#<alt x>
#<alt (- (+ x (/ 1 y)) (/ x y))>
#<alt (- (+ x (/ 1 y)) (/ x y))>
#<alt (- (+ x (/ 1 y)) (/ x y))>
#<alt x>
#<alt (+ x (* -1 (/ (- x 1) y)))>
#<alt (+ x (* -1 (/ (- x 1) y)))>
#<alt (+ x (* -1 (/ (- x 1) y)))>
#<alt (/ -1 y)>
#<alt (- (/ x y) (/ 1 y))>
#<alt (- (/ x y) (/ 1 y))>
#<alt (- (/ x y) (/ 1 y))>
#<alt (/ x y)>
#<alt (* x (- (/ 1 y) (/ 1 (* x y))))>
#<alt (* x (- (/ 1 y) (/ 1 (* x y))))>
#<alt (* x (- (/ 1 y) (/ 1 (* x y))))>
#<alt (/ x y)>
#<alt (* -1 (* x (- (/ 1 (* x y)) (/ 1 y))))>
#<alt (* -1 (* x (- (/ 1 (* x y)) (/ 1 y))))>
#<alt (* -1 (* x (- (/ 1 (* x y)) (/ 1 y))))>
#<alt (/ (- x 1) y)>
#<alt (/ (- x 1) y)>
#<alt (/ (- x 1) y)>
#<alt (/ (- x 1) y)>
#<alt (/ (- x 1) y)>
#<alt (/ (- x 1) y)>
#<alt (/ (- x 1) y)>
#<alt (/ (- x 1) y)>
#<alt (/ (- x 1) y)>
#<alt (/ (- x 1) y)>
#<alt (/ (- x 1) y)>
#<alt (/ (- x 1) y)>
#<alt -1>
#<alt (- x 1)>
#<alt (- x 1)>
#<alt (- x 1)>
#<alt x>
#<alt (* x (- 1 (/ 1 x)))>
#<alt (* x (- 1 (/ 1 x)))>
#<alt (* x (- 1 (/ 1 x)))>
#<alt x>
#<alt (* -1 (* x (- (/ 1 x) 1)))>
#<alt (* -1 (* x (- (/ 1 x) 1)))>
#<alt (* -1 (* x (- (/ 1 x) 1)))>
#<alt (/ y (+ 1 y))>
#<alt (+ (* -1 (/ (* x y) (+ 1 y))) (/ y (+ 1 y)))>
#<alt (+ (* -1 (/ (* x y) (+ 1 y))) (/ y (+ 1 y)))>
#<alt (+ (* -1 (/ (* x y) (+ 1 y))) (/ y (+ 1 y)))>
#<alt (* -1 (/ (* x y) (+ 1 y)))>
#<alt (* x (+ (* -1 (/ y (+ 1 y))) (/ y (* x (+ 1 y)))))>
#<alt (* x (+ (* -1 (/ y (+ 1 y))) (/ y (* x (+ 1 y)))))>
#<alt (* x (+ (* -1 (/ y (+ 1 y))) (/ y (* x (+ 1 y)))))>
#<alt (* -1 (/ (* x y) (+ 1 y)))>
#<alt (* -1 (* x (+ (* -1 (/ y (* x (+ 1 y)))) (/ y (+ 1 y)))))>
#<alt (* -1 (* x (+ (* -1 (/ y (* x (+ 1 y)))) (/ y (+ 1 y)))))>
#<alt (* -1 (* x (+ (* -1 (/ y (* x (+ 1 y)))) (/ y (+ 1 y)))))>
#<alt (* y (- 1 x))>
#<alt (* y (- (+ 1 (* y (- x 1))) x))>
#<alt (* y (- (+ 1 (* y (- (+ x (* y (- 1 x))) 1))) x))>
#<alt (* y (- (+ 1 (* y (- (+ x (* y (- (+ 1 (* y (- x 1))) x))) 1))) x))>
#<alt (- 1 x)>
#<alt (- (+ 1 (/ x y)) (+ x (/ 1 y)))>
#<alt (- (+ 1 (+ (/ 1 (pow y 2)) (/ x y))) (+ x (+ (/ 1 y) (/ x (pow y 2)))))>
#<alt (- (+ 1 (+ (/ 1 (pow y 2)) (+ (/ x y) (/ x (pow y 3))))) (+ x (+ (/ 1 y) (+ (/ 1 (pow y 3)) (/ x (pow y 2))))))>
#<alt (- 1 x)>
#<alt (- (+ 1 (/ x y)) (+ x (/ 1 y)))>
#<alt (- (+ 1 (* -1 (/ (- (+ (* -1 (- x 1)) (/ x y)) (/ 1 y)) y))) x)>
#<alt (- (+ 1 (* -1 (/ (+ (* -1 (- x 1)) (* -1 (/ (- (+ (* -1 (- x 1)) (/ x y)) (/ 1 y)) y))) y))) x)>
Calls

60 calls:

TimeVariablePointExpression
7.0ms
y
@inf
(/ (- 1 (* (* (/ (- 1 x) (/ (+ 1 y) y)) (- 1 x)) (/ y (+ 1 y)))) (+ 1 (/ (- 1 x) (/ (+ 1 y) y))))
3.0ms
x
@0
(- x (/ x y))
2.0ms
x
@0
(/ (- 1 (* (* (/ (- 1 x) (/ (+ 1 y) y)) (- 1 x)) (/ y (+ 1 y)))) (+ 1 (/ (- 1 x) (/ (+ 1 y) y))))
1.0ms
y
@-inf
(/ (- 1 (* (* (/ (- 1 x) (/ (+ 1 y) y)) (- 1 x)) (/ y (+ 1 y)))) (+ 1 (/ (- 1 x) (/ (+ 1 y) y))))
1.0ms
x
@-inf
(/ (- 1 (* (* (/ (- 1 x) (/ (+ 1 y) y)) (- 1 x)) (/ y (+ 1 y)))) (+ 1 (/ (- 1 x) (/ (+ 1 y) y))))

rewrite396.0ms (4.9%)

Algorithm
1×batch-egg-rewrite
Rules
4962×/-lowering-/.f32
4962×/-lowering-/.f64
3526×*-lowering-*.f32
3526×*-lowering-*.f64
1722×fma-lowering-fma.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
020121
116181
2174381
0895481
Stop Event
1×iter limit
1×node limit
Counts
11 → 785
Calls
Call 1
Inputs
(/ (- 1 (* (* (/ (- 1 x) (/ (+ 1 y) y)) (- 1 x)) (/ y (+ 1 y)))) (+ 1 (/ (- 1 x) (/ (+ 1 y) y))))
(- 1 (* (* (/ (- 1 x) (/ (+ 1 y) y)) (- 1 x)) (/ y (+ 1 y))))
(* (* (/ (- 1 x) (/ (+ 1 y) y)) (- 1 x)) (/ y (+ 1 y)))
(* (/ (- 1 x) (/ (+ 1 y) y)) (- 1 x))
(- 1 y)
(- x (/ x y))
(/ x y)
(- x (/ (+ x -1) y))
(/ (+ x -1) y)
(+ x -1)
(/ (- 1 x) (/ (+ 1 y) y))
Outputs
(+.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 #s(literal 1 binary64) y))))
(+.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) x)) (/.f64 y (+.f64 #s(literal 1 binary64) y))))
(+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) y))) y))
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 #s(literal 1 binary64) y)))) (neg.f64 (/.f64 (/.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 #s(literal 1 binary64) y)) (/.f64 (+.f64 #s(literal 1 binary64) y) (*.f64 (-.f64 #s(literal 1 binary64) x) y))) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 #s(literal 1 binary64) y))))))
(+.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 #s(literal 1 binary64) y))) (fma.f64 (neg.f64 (/.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 #s(literal 1 binary64) y)) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 #s(literal 1 binary64) y))))) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 #s(literal 1 binary64) y)) (/.f64 (/.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 #s(literal 1 binary64) y)) (/.f64 (+.f64 #s(literal 1 binary64) y) (*.f64 (-.f64 #s(literal 1 binary64) x) y))) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 #s(literal 1 binary64) y))))))
(+.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 #s(literal 1 binary64) y))) (fma.f64 (neg.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (+.f64 #s(literal 1 binary64) y) (*.f64 (-.f64 #s(literal 1 binary64) x) y))) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 #s(literal 1 binary64) y))))) (/.f64 y (+.f64 #s(literal 1 binary64) y)) (/.f64 (/.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 #s(literal 1 binary64) y)) (/.f64 (+.f64 #s(literal 1 binary64) y) (*.f64 (-.f64 #s(literal 1 binary64) x) y))) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 #s(literal 1 binary64) y))))))
(+.f64 (-.f64 #s(literal 1 binary64) (/.f64 y (+.f64 #s(literal 1 binary64) y))) (*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) y)) y))
(+.f64 (fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 #s(literal 1 binary64) y)))) (neg.f64 (*.f64 (/.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 #s(literal 1 binary64) y)))) (/.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (+.f64 #s(literal 1 binary64) y) (*.f64 (-.f64 #s(literal 1 binary64) x) y)))))) (fma.f64 (neg.f64 (/.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 #s(literal 1 binary64) y))))) (/.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (+.f64 #s(literal 1 binary64) y) (*.f64 (-.f64 #s(literal 1 binary64) x) y))) (*.f64 (/.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 #s(literal 1 binary64) y)))) (/.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (+.f64 #s(literal 1 binary64) y) (*.f64 (-.f64 #s(literal 1 binary64) x) y))))))
(+.f64 (fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 #s(literal 1 binary64) y)))) (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 #s(literal 1 binary64) y)))) (/.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 #s(literal 1 binary64) y)) (/.f64 (+.f64 #s(literal 1 binary64) y) (*.f64 (-.f64 #s(literal 1 binary64) x) y)))))) (fma.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 #s(literal 1 binary64) y))))) (/.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 #s(literal 1 binary64) y)) (/.f64 (+.f64 #s(literal 1 binary64) y) (*.f64 (-.f64 #s(literal 1 binary64) x) y))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 #s(literal 1 binary64) y)))) (/.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 #s(literal 1 binary64) y)) (/.f64 (+.f64 #s(literal 1 binary64) y) (*.f64 (-.f64 #s(literal 1 binary64) x) y))))))
(+.f64 (fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 #s(literal 1 binary64) y)))) (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 #s(literal 1 binary64) y))) (/.f64 (/.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 #s(literal 1 binary64) y)) (/.f64 (+.f64 #s(literal 1 binary64) y) (*.f64 (-.f64 #s(literal 1 binary64) x) y))) (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 #s(literal 1 binary64) y)) (/.f64 (+.f64 #s(literal 1 binary64) y) (*.f64 (-.f64 #s(literal 1 binary64) x) y)))))))) (fma.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 #s(literal 1 binary64) y)))) (/.f64 (/.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 #s(literal 1 binary64) y)) (/.f64 (+.f64 #s(literal 1 binary64) y) (*.f64 (-.f64 #s(literal 1 binary64) x) y))) (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 #s(literal 1 binary64) y)) (/.f64 (+.f64 #s(literal 1 binary64) y) (*.f64 (-.f64 #s(literal 1 binary64) x) y))))) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 #s(literal 1 binary64) y))) (/.f64 (/.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 #s(literal 1 binary64) y)) (/.f64 (+.f64 #s(literal 1 binary64) y) (*.f64 (-.f64 #s(literal 1 binary64) x) y))) (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 #s(literal 1 binary64) y)) (/.f64 (+.f64 #s(literal 1 binary64) y) (*.f64 (-.f64 #s(literal 1 binary64) x) y))))))))
(+.f64 (fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 #s(literal 1 binary64) y)))) (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) y) (*.f64 (-.f64 #s(literal 1 binary64) x) y)))) (/.f64 (/.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 #s(literal 1 binary64) y)) (/.f64 (+.f64 #s(literal 1 binary64) y) (*.f64 (-.f64 #s(literal 1 binary64) x) y))) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))) (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) y) y) (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) y) y) (/.f64 (+.f64 #s(literal 1 binary64) y) y))))))))) (fma.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) y) (*.f64 (-.f64 #s(literal 1 binary64) x) y))))) (/.f64 (/.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 #s(literal 1 binary64) y)) (/.f64 (+.f64 #s(literal 1 binary64) y) (*.f64 (-.f64 #s(literal 1 binary64) x) y))) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))) (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) y) y) (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) y) y) (/.f64 (+.f64 #s(literal 1 binary64) y) y)))))) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) y) (*.f64 (-.f64 #s(literal 1 binary64) x) y)))) (/.f64 (/.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 #s(literal 1 binary64) y)) (/.f64 (+.f64 #s(literal 1 binary64) y) (*.f64 (-.f64 #s(literal 1 binary64) x) y))) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))) (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) y) y) (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) y) y) (/.f64 (+.f64 #s(literal 1 binary64) y) y)))))))))
(+.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 #s(literal 1 binary64) y)) (/.f64 (+.f64 #s(literal 1 binary64) y) (*.f64 (-.f64 #s(literal 1 binary64) x) y))))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 #s(literal 1 binary64) y))) (neg.f64 (*.f64 (/.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 #s(literal 1 binary64) y)))) (/.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (+.f64 #s(literal 1 binary64) y) (*.f64 (-.f64 #s(literal 1 binary64) x) y)))))) (fma.f64 (neg.f64 (/.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 #s(literal 1 binary64) y))))) (/.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (+.f64 #s(literal 1 binary64) y) (*.f64 (-.f64 #s(literal 1 binary64) x) y))) (*.f64 (/.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 #s(literal 1 binary64) y)))) (/.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (+.f64 #s(literal 1 binary64) y) (*.f64 (-.f64 #s(literal 1 binary64) x) y))))))
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(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y)))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) (/.f64 y (+.f64 #s(literal 1 binary64) y)))
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(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) y))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) y))))
(*.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y)))) #s(literal 1 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 y (-.f64 y #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) y)))
(*.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 y y))) #s(literal 1 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) y)))

simplify420.0ms (5.2%)

Algorithm
1×egg-herbie
Rules
4344×*-lowering-*.f32
4344×*-lowering-*.f64
3802×+-lowering-+.f64
3802×+-lowering-+.f32
2250×fma-lowering-fma.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
05534822
119934492
278094492
083524492
Stop Event
1×iter limit
1×node limit
Counts
240 → 240
Calls
Call 1
Inputs
(/ (- 1 (/ (pow y 2) (pow (+ 1 y) 2))) (+ 1 (/ y (+ 1 y))))
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(- (+ (* x (- (+ (* 2 (/ (pow y 2) (* (pow (+ 1 y) 2) (+ 1 (/ y (+ 1 y)))))) (* x (- (* -1 (/ (pow y 2) (* (pow (+ 1 y) 2) (+ 1 (/ y (+ 1 y)))))) (* -1 (/ (* y (- (* 2 (/ (pow y 2) (* (pow (+ 1 y) 2) (+ 1 (/ y (+ 1 y)))))) (* -1 (/ (* y (- 1 (/ (pow y 2) (pow (+ 1 y) 2)))) (* (+ 1 y) (pow (+ 1 (/ y (+ 1 y))) 2)))))) (* (+ 1 y) (+ 1 (/ y (+ 1 y))))))))) (* -1 (/ (* y (- 1 (/ (pow y 2) (pow (+ 1 y) 2)))) (* (+ 1 y) (pow (+ 1 (/ y (+ 1 y))) 2)))))) (/ 1 (+ 1 (/ y (+ 1 y))))) (/ (pow y 2) (* (pow (+ 1 y) 2) (+ 1 (/ y (+ 1 y))))))
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(/ (* x y) (+ 1 y))
(* x (- (+ (* -2 (/ y (* x (+ 1 y)))) (/ y (+ 1 y))) (* -1 (/ (+ 1 (/ y (+ 1 y))) x))))
(* x (- (+ (* -2 (/ y (* x (+ 1 y)))) (+ (* -1 (/ (* (+ 1 y) (- 1 (/ (pow y 2) (pow (+ 1 y) 2)))) (* (pow x 2) y))) (/ y (+ 1 y)))) (+ (* -1 (/ (* (+ 1 y) (* (+ 1 (/ y (+ 1 y))) (- (* -2 (/ y (+ 1 y))) (* -1 (+ 1 (/ y (+ 1 y))))))) (* (pow x 2) y))) (* -1 (/ (+ 1 (/ y (+ 1 y))) x)))))
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(/ (* x y) (+ 1 y))
(* -1 (* x (+ (* -1 (/ y (+ 1 y))) (* -1 (/ (- (* -2 (/ y (+ 1 y))) (* -1 (+ 1 (/ y (+ 1 y))))) x)))))
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1
(+ 1 (* y (- x 1)))
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(/ (- 1 (pow (- 1 x) 2)) (- 2 x))
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(- (+ 1 (* 2 (/ (* x (pow y 2)) (pow (+ 1 y) 2)))) (/ (pow y 2) (pow (+ 1 y) 2)))
(- (+ 1 (* x (- (* -1 (/ (* x (pow y 2)) (pow (+ 1 y) 2))) (* -2 (/ (pow y 2) (pow (+ 1 y) 2)))))) (/ (pow y 2) (pow (+ 1 y) 2)))
(- (+ 1 (* x (- (* -1 (/ (* x (pow y 2)) (pow (+ 1 y) 2))) (* -2 (/ (pow y 2) (pow (+ 1 y) 2)))))) (/ (pow y 2) (pow (+ 1 y) 2)))
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(* (pow x 2) (- (* 2 (/ (pow y 2) (* x (pow (+ 1 y) 2)))) (/ (pow y 2) (pow (+ 1 y) 2))))
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(* (pow x 2) (- (/ 1 (pow x 2)) (+ (* -2 (/ (pow y 2) (* x (pow (+ 1 y) 2)))) (+ (/ (pow y 2) (* (pow x 2) (pow (+ 1 y) 2))) (/ (pow y 2) (pow (+ 1 y) 2))))))
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(* (pow x 2) (- (* -1 (/ (- (* -1 (/ (- 1 (/ (pow y 2) (pow (+ 1 y) 2))) x)) (* 2 (/ (pow y 2) (pow (+ 1 y) 2)))) x)) (/ (pow y 2) (pow (+ 1 y) 2))))
1
(+ 1 (* -1 (* (pow y 2) (pow (- 1 x) 2))))
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(+ 1 (* (pow y 2) (- (* y (+ (* 2 (pow (- 1 x) 2)) (* y (+ (* -4 (pow (- 1 x) 2)) (pow (- 1 x) 2))))) (pow (- 1 x) 2))))
(- 1 (pow (- 1 x) 2))
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(- (+ 1 (+ (* -4 (/ (pow (- 1 x) 2) (pow y 2))) (+ (* -2 (/ (+ (* -4 (pow (- 1 x) 2)) (pow (- 1 x) 2)) (pow y 3))) (+ (* -2 (/ (pow (- 1 x) 2) (pow y 3))) (+ (* 2 (/ (pow (- 1 x) 2) y)) (/ (pow (- 1 x) 2) (pow y 2))))))) (pow (- 1 x) 2))
(- 1 (pow (- 1 x) 2))
(- (+ 1 (* 2 (/ (pow (- 1 x) 2) y))) (pow (- 1 x) 2))
(- (+ 1 (* -1 (/ (+ (* -2 (pow (- 1 x) 2)) (* -1 (/ (+ (* -4 (pow (- 1 x) 2)) (pow (- 1 x) 2)) y))) y))) (pow (- 1 x) 2))
(- (+ 1 (* -1 (/ (+ (* -2 (pow (- 1 x) 2)) (* -1 (/ (+ (* -4 (pow (- 1 x) 2)) (+ (* -1 (/ (+ (* 2 (+ (* -4 (pow (- 1 x) 2)) (pow (- 1 x) 2))) (* 2 (pow (- 1 x) 2))) y)) (pow (- 1 x) 2))) y))) y))) (pow (- 1 x) 2))
(/ (pow y 2) (pow (+ 1 y) 2))
(+ (* -2 (/ (* x (pow y 2)) (pow (+ 1 y) 2))) (/ (pow y 2) (pow (+ 1 y) 2)))
(+ (* x (+ (* -2 (/ (pow y 2) (pow (+ 1 y) 2))) (/ (* x (pow y 2)) (pow (+ 1 y) 2)))) (/ (pow y 2) (pow (+ 1 y) 2)))
(+ (* x (+ (* -2 (/ (pow y 2) (pow (+ 1 y) 2))) (/ (* x (pow y 2)) (pow (+ 1 y) 2)))) (/ (pow y 2) (pow (+ 1 y) 2)))
(/ (* (pow x 2) (pow y 2)) (pow (+ 1 y) 2))
(* (pow x 2) (+ (* -2 (/ (pow y 2) (* x (pow (+ 1 y) 2)))) (/ (pow y 2) (pow (+ 1 y) 2))))
(* (pow x 2) (+ (* -2 (/ (pow y 2) (* x (pow (+ 1 y) 2)))) (+ (/ (pow y 2) (* (pow x 2) (pow (+ 1 y) 2))) (/ (pow y 2) (pow (+ 1 y) 2)))))
(* (pow x 2) (+ (* -2 (/ (pow y 2) (* x (pow (+ 1 y) 2)))) (+ (/ (pow y 2) (* (pow x 2) (pow (+ 1 y) 2))) (/ (pow y 2) (pow (+ 1 y) 2)))))
(/ (* (pow x 2) (pow y 2)) (pow (+ 1 y) 2))
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(* (pow x 2) (+ (* -1 (/ (+ (* -1 (/ (pow y 2) (* x (pow (+ 1 y) 2)))) (* 2 (/ (pow y 2) (pow (+ 1 y) 2)))) x)) (/ (pow y 2) (pow (+ 1 y) 2))))
(* (pow y 2) (pow (- 1 x) 2))
(* (pow y 2) (+ (* -2 (* y (pow (- 1 x) 2))) (pow (- 1 x) 2)))
(* (pow y 2) (+ (* y (- (* -1 (* y (+ (* -4 (pow (- 1 x) 2)) (pow (- 1 x) 2)))) (* 2 (pow (- 1 x) 2)))) (pow (- 1 x) 2)))
(* (pow y 2) (+ (* y (- (* y (- (* -1 (* y (+ (* -2 (+ (* -4 (pow (- 1 x) 2)) (pow (- 1 x) 2))) (* -2 (pow (- 1 x) 2))))) (+ (* -4 (pow (- 1 x) 2)) (pow (- 1 x) 2)))) (* 2 (pow (- 1 x) 2)))) (pow (- 1 x) 2)))
(pow (- 1 x) 2)
(+ (* -2 (/ (pow (- 1 x) 2) y)) (pow (- 1 x) 2))
(- (+ (* -1 (/ (+ (* -4 (pow (- 1 x) 2)) (pow (- 1 x) 2)) (pow y 2))) (pow (- 1 x) 2)) (* 2 (/ (pow (- 1 x) 2) y)))
(- (+ (* -1 (/ (+ (* -2 (+ (* -4 (pow (- 1 x) 2)) (pow (- 1 x) 2))) (* -2 (pow (- 1 x) 2))) (pow y 3))) (pow (- 1 x) 2)) (+ (* -4 (/ (pow (- 1 x) 2) (pow y 2))) (+ (* 2 (/ (pow (- 1 x) 2) y)) (/ (pow (- 1 x) 2) (pow y 2)))))
(pow (- 1 x) 2)
(+ (* -2 (/ (pow (- 1 x) 2) y)) (pow (- 1 x) 2))
(+ (* -1 (/ (- (+ (* -4 (/ (pow (- 1 x) 2) y)) (/ (pow (- 1 x) 2) y)) (* -2 (pow (- 1 x) 2))) y)) (pow (- 1 x) 2))
(+ (* -1 (/ (- (* -1 (/ (- (+ (* 2 (/ (+ (* -4 (pow (- 1 x) 2)) (pow (- 1 x) 2)) y)) (* 2 (/ (pow (- 1 x) 2) y))) (+ (* -4 (pow (- 1 x) 2)) (pow (- 1 x) 2))) y)) (* -2 (pow (- 1 x) 2))) y)) (pow (- 1 x) 2))
(/ y (+ 1 y))
(+ (* -2 (/ (* x y) (+ 1 y))) (/ y (+ 1 y)))
(+ (* x (+ (* -2 (/ y (+ 1 y))) (/ (* x y) (+ 1 y)))) (/ y (+ 1 y)))
(+ (* x (+ (* -2 (/ y (+ 1 y))) (/ (* x y) (+ 1 y)))) (/ y (+ 1 y)))
(/ (* (pow x 2) y) (+ 1 y))
(* (pow x 2) (+ (* -2 (/ y (* x (+ 1 y)))) (/ y (+ 1 y))))
(* (pow x 2) (+ (* -2 (/ y (* x (+ 1 y)))) (+ (/ y (* (pow x 2) (+ 1 y))) (/ y (+ 1 y)))))
(* (pow x 2) (+ (* -2 (/ y (* x (+ 1 y)))) (+ (/ y (* (pow x 2) (+ 1 y))) (/ y (+ 1 y)))))
(/ (* (pow x 2) y) (+ 1 y))
(* (pow x 2) (+ (* -2 (/ y (* x (+ 1 y)))) (/ y (+ 1 y))))
(* (pow x 2) (+ (* -1 (/ (+ (* -1 (/ y (* x (+ 1 y)))) (* 2 (/ y (+ 1 y)))) x)) (/ y (+ 1 y))))
(* (pow x 2) (+ (* -1 (/ (+ (* -1 (/ y (* x (+ 1 y)))) (* 2 (/ y (+ 1 y)))) x)) (/ y (+ 1 y))))
(* y (pow (- 1 x) 2))
(* y (+ (* -1 (* y (pow (- 1 x) 2))) (pow (- 1 x) 2)))
(* y (+ (* y (- (* y (pow (- 1 x) 2)) (pow (- 1 x) 2))) (pow (- 1 x) 2)))
(* y (+ (* y (- (* y (- (* -1 (* y (pow (- 1 x) 2))) (* -1 (pow (- 1 x) 2)))) (pow (- 1 x) 2))) (pow (- 1 x) 2)))
(pow (- 1 x) 2)
(+ (* -1 (/ (pow (- 1 x) 2) y)) (pow (- 1 x) 2))
(- (+ (/ (pow (- 1 x) 2) (pow y 2)) (pow (- 1 x) 2)) (/ (pow (- 1 x) 2) y))
(- (+ (* -1 (/ (pow (- 1 x) 2) (pow y 3))) (pow (- 1 x) 2)) (+ (* -1 (/ (pow (- 1 x) 2) (pow y 2))) (/ (pow (- 1 x) 2) y)))
(pow (- 1 x) 2)
(+ (* -1 (/ (pow (- 1 x) 2) y)) (pow (- 1 x) 2))
(+ (* -1 (/ (+ (* -1 (/ (pow (- 1 x) 2) y)) (pow (- 1 x) 2)) y)) (pow (- 1 x) 2))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (pow (- 1 x) 2) y)) (pow (- 1 x) 2)) y)) (pow (- 1 x) 2)) y)) (pow (- 1 x) 2))
1
(+ 1 (* -1 y))
(+ 1 (* -1 y))
(+ 1 (* -1 y))
(* -1 y)
(* y (- (/ 1 y) 1))
(* y (- (/ 1 y) 1))
(* y (- (/ 1 y) 1))
(* -1 y)
(* -1 (* y (- 1 (/ 1 y))))
(* -1 (* y (- 1 (/ 1 y))))
(* -1 (* y (- 1 (/ 1 y))))
(* x (- 1 (/ 1 y)))
(* x (- 1 (/ 1 y)))
(* x (- 1 (/ 1 y)))
(* x (- 1 (/ 1 y)))
(* x (- 1 (/ 1 y)))
(* x (- 1 (/ 1 y)))
(* x (- 1 (/ 1 y)))
(* x (- 1 (/ 1 y)))
(* -1 (* x (- (/ 1 y) 1)))
(* -1 (* x (- (/ 1 y) 1)))
(* -1 (* x (- (/ 1 y) 1)))
(* -1 (* x (- (/ 1 y) 1)))
(* -1 (/ x y))
(/ (- (* x y) x) y)
(/ (- (* x y) x) y)
(/ (- (* x y) x) y)
x
(+ x (* -1 (/ x y)))
(+ x (* -1 (/ x y)))
(+ x (* -1 (/ x y)))
x
(+ x (* -1 (/ x y)))
(+ x (* -1 (/ x y)))
(+ x (* -1 (/ x y)))
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ 1 y)
(+ (* x (- 1 (/ 1 y))) (/ 1 y))
(+ (* x (- 1 (/ 1 y))) (/ 1 y))
(+ (* x (- 1 (/ 1 y))) (/ 1 y))
(* x (- 1 (/ 1 y)))
(* x (- (+ 1 (/ 1 (* x y))) (/ 1 y)))
(* x (- (+ 1 (/ 1 (* x y))) (/ 1 y)))
(* x (- (+ 1 (/ 1 (* x y))) (/ 1 y)))
(* -1 (* x (- (/ 1 y) 1)))
(* -1 (* x (- (/ 1 y) (+ 1 (/ 1 (* x y))))))
(* -1 (* x (- (/ 1 y) (+ 1 (/ 1 (* x y))))))
(* -1 (* x (- (/ 1 y) (+ 1 (/ 1 (* x y))))))
(/ (- 1 x) y)
(/ (- (+ 1 (* x y)) x) y)
(/ (- (+ 1 (* x y)) x) y)
(/ (- (+ 1 (* x y)) x) y)
x
(- (+ x (/ 1 y)) (/ x y))
(- (+ x (/ 1 y)) (/ x y))
(- (+ x (/ 1 y)) (/ x y))
x
(+ x (* -1 (/ (- x 1) y)))
(+ x (* -1 (/ (- x 1) y)))
(+ x (* -1 (/ (- x 1) y)))
(/ -1 y)
(- (/ x y) (/ 1 y))
(- (/ x y) (/ 1 y))
(- (/ x y) (/ 1 y))
(/ x y)
(* x (- (/ 1 y) (/ 1 (* x y))))
(* x (- (/ 1 y) (/ 1 (* x y))))
(* x (- (/ 1 y) (/ 1 (* x y))))
(/ x y)
(* -1 (* x (- (/ 1 (* x y)) (/ 1 y))))
(* -1 (* x (- (/ 1 (* x y)) (/ 1 y))))
(* -1 (* x (- (/ 1 (* x y)) (/ 1 y))))
(/ (- x 1) y)
(/ (- x 1) y)
(/ (- x 1) y)
(/ (- x 1) y)
(/ (- x 1) y)
(/ (- x 1) y)
(/ (- x 1) y)
(/ (- x 1) y)
(/ (- x 1) y)
(/ (- x 1) y)
(/ (- x 1) y)
(/ (- x 1) y)
-1
(- x 1)
(- x 1)
(- x 1)
x
(* x (- 1 (/ 1 x)))
(* x (- 1 (/ 1 x)))
(* x (- 1 (/ 1 x)))
x
(* -1 (* x (- (/ 1 x) 1)))
(* -1 (* x (- (/ 1 x) 1)))
(* -1 (* x (- (/ 1 x) 1)))
(/ y (+ 1 y))
(+ (* -1 (/ (* x y) (+ 1 y))) (/ y (+ 1 y)))
(+ (* -1 (/ (* x y) (+ 1 y))) (/ y (+ 1 y)))
(+ (* -1 (/ (* x y) (+ 1 y))) (/ y (+ 1 y)))
(* -1 (/ (* x y) (+ 1 y)))
(* x (+ (* -1 (/ y (+ 1 y))) (/ y (* x (+ 1 y)))))
(* x (+ (* -1 (/ y (+ 1 y))) (/ y (* x (+ 1 y)))))
(* x (+ (* -1 (/ y (+ 1 y))) (/ y (* x (+ 1 y)))))
(* -1 (/ (* x y) (+ 1 y)))
(* -1 (* x (+ (* -1 (/ y (* x (+ 1 y)))) (/ y (+ 1 y)))))
(* -1 (* x (+ (* -1 (/ y (* x (+ 1 y)))) (/ y (+ 1 y)))))
(* -1 (* x (+ (* -1 (/ y (* x (+ 1 y)))) (/ y (+ 1 y)))))
(* y (- 1 x))
(* y (- (+ 1 (* y (- x 1))) x))
(* y (- (+ 1 (* y (- (+ x (* y (- 1 x))) 1))) x))
(* y (- (+ 1 (* y (- (+ x (* y (- (+ 1 (* y (- x 1))) x))) 1))) x))
(- 1 x)
(- (+ 1 (/ x y)) (+ x (/ 1 y)))
(- (+ 1 (+ (/ 1 (pow y 2)) (/ x y))) (+ x (+ (/ 1 y) (/ x (pow y 2)))))
(- (+ 1 (+ (/ 1 (pow y 2)) (+ (/ x y) (/ x (pow y 3))))) (+ x (+ (/ 1 y) (+ (/ 1 (pow y 3)) (/ x (pow y 2))))))
(- 1 x)
(- (+ 1 (/ x y)) (+ x (/ 1 y)))
(- (+ 1 (* -1 (/ (- (+ (* -1 (- x 1)) (/ x y)) (/ 1 y)) y))) x)
(- (+ 1 (* -1 (/ (+ (* -1 (- x 1)) (* -1 (/ (- (+ (* -1 (- x 1)) (/ x y)) (/ 1 y)) y))) y))) x)
Outputs
(/ (- 1 (/ (pow y 2) (pow (+ 1 y) 2))) (+ 1 (/ y (+ 1 y))))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 y y) (*.f64 (+.f64 #s(literal 1 binary64) y) (+.f64 #s(literal 1 binary64) y)))) (+.f64 #s(literal 1 binary64) (/.f64 y (+.f64 #s(literal 1 binary64) y))))
(- (+ (* x (- (* 2 (/ (pow y 2) (* (pow (+ 1 y) 2) (+ 1 (/ y (+ 1 y)))))) (* -1 (/ (* y (- 1 (/ (pow y 2) (pow (+ 1 y) 2)))) (* (+ 1 y) (pow (+ 1 (/ y (+ 1 y))) 2)))))) (/ 1 (+ 1 (/ y (+ 1 y))))) (/ (pow y 2) (* (pow (+ 1 y) 2) (+ 1 (/ y (+ 1 y))))))
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(- (+ (* x (- (+ (* 2 (/ (pow y 2) (* (pow (+ 1 y) 2) (+ 1 (/ y (+ 1 y)))))) (* x (- (* -1 (/ (pow y 2) (* (pow (+ 1 y) 2) (+ 1 (/ y (+ 1 y)))))) (* -1 (/ (* y (- (* 2 (/ (pow y 2) (* (pow (+ 1 y) 2) (+ 1 (/ y (+ 1 y)))))) (* -1 (/ (* y (- 1 (/ (pow y 2) (pow (+ 1 y) 2)))) (* (+ 1 y) (pow (+ 1 (/ y (+ 1 y))) 2)))))) (* (+ 1 y) (+ 1 (/ y (+ 1 y))))))))) (* -1 (/ (* y (- 1 (/ (pow y 2) (pow (+ 1 y) 2)))) (* (+ 1 y) (pow (+ 1 (/ y (+ 1 y))) 2)))))) (/ 1 (+ 1 (/ y (+ 1 y))))) (/ (pow y 2) (* (pow (+ 1 y) 2) (+ 1 (/ y (+ 1 y))))))
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(- (+ (* x (- (+ (* 2 (/ (pow y 2) (* (pow (+ 1 y) 2) (+ 1 (/ y (+ 1 y)))))) (* x (- (+ (* -1 (/ (pow y 2) (* (pow (+ 1 y) 2) (+ 1 (/ y (+ 1 y)))))) (/ (* x (* y (- (* -1 (/ (pow y 2) (* (pow (+ 1 y) 2) (+ 1 (/ y (+ 1 y)))))) (* -1 (/ (* y (- (* 2 (/ (pow y 2) (* (pow (+ 1 y) 2) (+ 1 (/ y (+ 1 y)))))) (* -1 (/ (* y (- 1 (/ (pow y 2) (pow (+ 1 y) 2)))) (* (+ 1 y) (pow (+ 1 (/ y (+ 1 y))) 2)))))) (* (+ 1 y) (+ 1 (/ y (+ 1 y))))))))) (* (+ 1 y) (+ 1 (/ y (+ 1 y)))))) (* -1 (/ (* y (- (* 2 (/ (pow y 2) (* (pow (+ 1 y) 2) (+ 1 (/ y (+ 1 y)))))) (* -1 (/ (* y (- 1 (/ (pow y 2) (pow (+ 1 y) 2)))) (* (+ 1 y) (pow (+ 1 (/ y (+ 1 y))) 2)))))) (* (+ 1 y) (+ 1 (/ y (+ 1 y))))))))) (* -1 (/ (* y (- 1 (/ (pow y 2) (pow (+ 1 y) 2)))) (* (+ 1 y) (pow (+ 1 (/ y (+ 1 y))) 2)))))) (/ 1 (+ 1 (/ y (+ 1 y))))) (/ (pow y 2) (* (pow (+ 1 y) 2) (+ 1 (/ y (+ 1 y))))))
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(/ (* x y) (+ 1 y))
(*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) x)
(* x (- (+ (* -2 (/ y (* x (+ 1 y)))) (/ y (+ 1 y))) (* -1 (/ (+ 1 (/ y (+ 1 y))) x))))
(*.f64 x (+.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) (/.f64 (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 y (+.f64 #s(literal 1 binary64) y))) (*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) #s(literal -2 binary64))) x)))
(* x (- (+ (* -2 (/ y (* x (+ 1 y)))) (+ (* -1 (/ (* (+ 1 y) (- 1 (/ (pow y 2) (pow (+ 1 y) 2)))) (* (pow x 2) y))) (/ y (+ 1 y)))) (+ (* -1 (/ (* (+ 1 y) (* (+ 1 (/ y (+ 1 y))) (- (* -2 (/ y (+ 1 y))) (* -1 (+ 1 (/ y (+ 1 y))))))) (* (pow x 2) y))) (* -1 (/ (+ 1 (/ y (+ 1 y))) x)))))
(*.f64 x (+.f64 (-.f64 (/.f64 (*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) #s(literal -2 binary64)) x) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 y y) (*.f64 (+.f64 #s(literal 1 binary64) y) (+.f64 #s(literal 1 binary64) y)))) (/.f64 (+.f64 #s(literal 1 binary64) y) (*.f64 x x))) y)) (-.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) (-.f64 (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 y (+.f64 #s(literal 1 binary64) y))) x) (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) y) (*.f64 (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 y (+.f64 #s(literal 1 binary64) y))) (*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) #s(literal -2 binary64))) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 y (+.f64 #s(literal 1 binary64) y))) y))) (*.f64 x x))))))
(* x (- (+ (* -2 (/ y (* x (+ 1 y)))) (+ (* -1 (/ (* (+ 1 y) (- 1 (/ (pow y 2) (pow (+ 1 y) 2)))) (* (pow x 2) y))) (+ (/ y (+ 1 y)) (/ (* (+ 1 y) (* (+ 1 (/ y (+ 1 y))) (- (* -1 (/ (* (+ 1 y) (- 1 (/ (pow y 2) (pow (+ 1 y) 2)))) y)) (* -1 (/ (* (+ 1 y) (* (+ 1 (/ y (+ 1 y))) (- (* -2 (/ y (+ 1 y))) (* -1 (+ 1 (/ y (+ 1 y))))))) y))))) (* (pow x 3) y))))) (+ (* -1 (/ (* (+ 1 y) (* (+ 1 (/ y (+ 1 y))) (- (* -2 (/ y (+ 1 y))) (* -1 (+ 1 (/ y (+ 1 y))))))) (* (pow x 2) y))) (* -1 (/ (+ 1 (/ y (+ 1 y))) x)))))
(*.f64 x (+.f64 (/.f64 (*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) #s(literal -2 binary64)) x) (+.f64 (-.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 y y) (*.f64 (+.f64 #s(literal 1 binary64) y) (+.f64 #s(literal 1 binary64) y)))) (/.f64 (+.f64 #s(literal 1 binary64) y) (*.f64 x x))) y)) (-.f64 (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) y) (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 y (+.f64 #s(literal 1 binary64) y))) (*.f64 (+.f64 #s(literal 1 binary64) y) (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 y y) (*.f64 (+.f64 #s(literal 1 binary64) y) (+.f64 #s(literal 1 binary64) y)))) y) (*.f64 (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 y (+.f64 #s(literal 1 binary64) y))) (*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) #s(literal -2 binary64))) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 y (+.f64 #s(literal 1 binary64) y))) y)))))) (*.f64 y (*.f64 x (*.f64 x x)))) (-.f64 (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 y (+.f64 #s(literal 1 binary64) y))) x) (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) y) (*.f64 (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 y (+.f64 #s(literal 1 binary64) y))) (*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) #s(literal -2 binary64))) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 y (+.f64 #s(literal 1 binary64) y))) y))) (*.f64 x x)))))))
(/ (* x y) (+ 1 y))
(*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) x)
(* -1 (* x (+ (* -1 (/ y (+ 1 y))) (* -1 (/ (- (* -2 (/ y (+ 1 y))) (* -1 (+ 1 (/ y (+ 1 y))))) x)))))
(*.f64 x (*.f64 (-.f64 (/.f64 (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 y (+.f64 #s(literal 1 binary64) y))) (*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) #s(literal -2 binary64))) (-.f64 #s(literal 0 binary64) x)) (/.f64 y (+.f64 #s(literal 1 binary64) y))) #s(literal -1 binary64)))
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(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 y #s(literal -1 binary64)))) y)
(/ (- (+ 1 (* x y)) x) y)
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 y #s(literal -1 binary64)))) y)
x
(- (+ x (/ 1 y)) (/ x y))
(+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) x) y))
(- (+ x (/ 1 y)) (/ x y))
(+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) x) y))
(- (+ x (/ 1 y)) (/ x y))
(+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) x) y))
x
(+ x (* -1 (/ (- x 1) y)))
(+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) x) y))
(+ x (* -1 (/ (- x 1) y)))
(+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) x) y))
(+ x (* -1 (/ (- x 1) y)))
(+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) x) y))
(/ -1 y)
(/.f64 #s(literal -1 binary64) y)
(- (/ x y) (/ 1 y))
(/.f64 (+.f64 x #s(literal -1 binary64)) y)
(- (/ x y) (/ 1 y))
(/.f64 (+.f64 x #s(literal -1 binary64)) y)
(- (/ x y) (/ 1 y))
(/.f64 (+.f64 x #s(literal -1 binary64)) y)
(/ x y)
(/.f64 x y)
(* x (- (/ 1 y) (/ 1 (* x y))))
(*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal -1 binary64) (*.f64 y x))))
(* x (- (/ 1 y) (/ 1 (* x y))))
(*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal -1 binary64) (*.f64 y x))))
(* x (- (/ 1 y) (/ 1 (* x y))))
(*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal -1 binary64) (*.f64 y x))))
(/ x y)
(/.f64 x y)
(* -1 (* x (- (/ 1 (* x y)) (/ 1 y))))
(*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 y x)) (/.f64 #s(literal -1 binary64) y)) (-.f64 #s(literal 0 binary64) x))
(* -1 (* x (- (/ 1 (* x y)) (/ 1 y))))
(*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 y x)) (/.f64 #s(literal -1 binary64) y)) (-.f64 #s(literal 0 binary64) x))
(* -1 (* x (- (/ 1 (* x y)) (/ 1 y))))
(*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 y x)) (/.f64 #s(literal -1 binary64) y)) (-.f64 #s(literal 0 binary64) x))
(/ (- x 1) y)
(/.f64 (+.f64 x #s(literal -1 binary64)) y)
(/ (- x 1) y)
(/.f64 (+.f64 x #s(literal -1 binary64)) y)
(/ (- x 1) y)
(/.f64 (+.f64 x #s(literal -1 binary64)) y)
(/ (- x 1) y)
(/.f64 (+.f64 x #s(literal -1 binary64)) y)
(/ (- x 1) y)
(/.f64 (+.f64 x #s(literal -1 binary64)) y)
(/ (- x 1) y)
(/.f64 (+.f64 x #s(literal -1 binary64)) y)
(/ (- x 1) y)
(/.f64 (+.f64 x #s(literal -1 binary64)) y)
(/ (- x 1) y)
(/.f64 (+.f64 x #s(literal -1 binary64)) y)
(/ (- x 1) y)
(/.f64 (+.f64 x #s(literal -1 binary64)) y)
(/ (- x 1) y)
(/.f64 (+.f64 x #s(literal -1 binary64)) y)
(/ (- x 1) y)
(/.f64 (+.f64 x #s(literal -1 binary64)) y)
(/ (- x 1) y)
(/.f64 (+.f64 x #s(literal -1 binary64)) y)
-1
#s(literal -1 binary64)
(- x 1)
(+.f64 x #s(literal -1 binary64))
(- x 1)
(+.f64 x #s(literal -1 binary64))
(- x 1)
(+.f64 x #s(literal -1 binary64))
x
(* x (- 1 (/ 1 x)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)))
(* x (- 1 (/ 1 x)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)))
(* x (- 1 (/ 1 x)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)))
x
(* -1 (* x (- (/ 1 x) 1)))
(*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 0 binary64) x))
(* -1 (* x (- (/ 1 x) 1)))
(*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 0 binary64) x))
(* -1 (* x (- (/ 1 x) 1)))
(*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 0 binary64) x))
(/ y (+ 1 y))
(/.f64 y (+.f64 #s(literal 1 binary64) y))
(+ (* -1 (/ (* x y) (+ 1 y))) (/ y (+ 1 y)))
(-.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) (*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) x))
(+ (* -1 (/ (* x y) (+ 1 y))) (/ y (+ 1 y)))
(-.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) (*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) x))
(+ (* -1 (/ (* x y) (+ 1 y))) (/ y (+ 1 y)))
(-.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) (*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) x))
(* -1 (/ (* x y) (+ 1 y)))
(-.f64 #s(literal 0 binary64) (*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) x))
(* x (+ (* -1 (/ y (+ 1 y))) (/ y (* x (+ 1 y)))))
(*.f64 x (-.f64 (/.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) x) (/.f64 y (+.f64 #s(literal 1 binary64) y))))
(* x (+ (* -1 (/ y (+ 1 y))) (/ y (* x (+ 1 y)))))
(*.f64 x (-.f64 (/.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) x) (/.f64 y (+.f64 #s(literal 1 binary64) y))))
(* x (+ (* -1 (/ y (+ 1 y))) (/ y (* x (+ 1 y)))))
(*.f64 x (-.f64 (/.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) x) (/.f64 y (+.f64 #s(literal 1 binary64) y))))
(* -1 (/ (* x y) (+ 1 y)))
(-.f64 #s(literal 0 binary64) (*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) x))
(* -1 (* x (+ (* -1 (/ y (* x (+ 1 y)))) (/ y (+ 1 y)))))
(*.f64 (-.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) (/.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) x)) (-.f64 #s(literal 0 binary64) x))
(* -1 (* x (+ (* -1 (/ y (* x (+ 1 y)))) (/ y (+ 1 y)))))
(*.f64 (-.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) (/.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) x)) (-.f64 #s(literal 0 binary64) x))
(* -1 (* x (+ (* -1 (/ y (* x (+ 1 y)))) (/ y (+ 1 y)))))
(*.f64 (-.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) (/.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) x)) (-.f64 #s(literal 0 binary64) x))
(* y (- 1 x))
(*.f64 y (-.f64 #s(literal 1 binary64) x))
(* y (- (+ 1 (* y (- x 1))) x))
(*.f64 y (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 y (+.f64 x #s(literal -1 binary64))) x)))
(* y (- (+ 1 (* y (- (+ x (* y (- 1 x))) 1))) x))
(*.f64 y (+.f64 (*.f64 y (+.f64 #s(literal -1 binary64) (+.f64 x (*.f64 y (-.f64 #s(literal 1 binary64) x))))) (-.f64 #s(literal 1 binary64) x)))
(* y (- (+ 1 (* y (- (+ x (* y (- (+ 1 (* y (- x 1))) x))) 1))) x))
(*.f64 y (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 y (+.f64 (*.f64 y (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 y (+.f64 x #s(literal -1 binary64))) x))) (+.f64 x #s(literal -1 binary64)))) x)))
(- 1 x)
(-.f64 #s(literal 1 binary64) x)
(- (+ 1 (/ x y)) (+ x (/ 1 y)))
(+.f64 #s(literal 1 binary64) (-.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) y) x))
(- (+ 1 (+ (/ 1 (pow y 2)) (/ x y))) (+ x (+ (/ 1 y) (/ x (pow y 2)))))
(-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) (/.f64 #s(literal 1 binary64) (*.f64 y y))) (+.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 x (/.f64 x (*.f64 y y)))))
(- (+ 1 (+ (/ 1 (pow y 2)) (+ (/ x y) (/ x (pow y 3))))) (+ x (+ (/ 1 y) (+ (/ 1 (pow y 3)) (/ x (pow y 2))))))
(-.f64 (+.f64 (+.f64 (/.f64 x y) (/.f64 #s(literal 1 binary64) (*.f64 y y))) (+.f64 (/.f64 x (*.f64 y (*.f64 y y))) #s(literal 1 binary64))) (+.f64 (+.f64 x (/.f64 #s(literal 1 binary64) y)) (+.f64 (/.f64 x (*.f64 y y)) (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y))))))
(- 1 x)
(-.f64 #s(literal 1 binary64) x)
(- (+ 1 (/ x y)) (+ x (/ 1 y)))
(+.f64 #s(literal 1 binary64) (-.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) y) x))
(- (+ 1 (* -1 (/ (- (+ (* -1 (- x 1)) (/ x y)) (/ 1 y)) y))) x)
(-.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) y) x)) y))
(- (+ 1 (* -1 (/ (+ (* -1 (- x 1)) (* -1 (/ (- (+ (* -1 (- x 1)) (/ x y)) (/ 1 y)) y))) y))) x)
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) y) x)) y)) y)) x)

eval199.0ms (2.4%)

Compiler

Compiled 49190 to 4203 computations (91.5% saved)

prune288.0ms (3.5%)

Pruning

12 alts after pruning (7 fresh and 5 done)

PrunedKeptTotal
New119921201
Fresh055
Picked235
Done022
Total1201121213
Accuracy
100.0%
Counts
1213 → 12
Alt Table
Click to see full alt table
StatusAccuracyProgram
12.7%
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) y)
49.2%
(/.f64 x (/.f64 (+.f64 #s(literal 1 binary64) y) y))
▶13.5%
(/.f64 #s(literal 1 binary64) y)
✓36.9%
(-.f64 x (/.f64 x y))
▶47.8%
(-.f64 x (/.f64 #s(literal -1 binary64) y))
✓42.2%
(-.f64 #s(literal 1 binary64) (/.f64 y (+.f64 y #s(literal 1 binary64))))
▶54.7%
(-.f64 #s(literal 1 binary64) (*.f64 y (-.f64 #s(literal 1 binary64) x)))
✓41.7%
(-.f64 #s(literal 1 binary64) y)
▶15.6%
(*.f64 y x)
▶88.9%
(*.f64 x (+.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) (/.f64 (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 y (+.f64 #s(literal 1 binary64) y))) (*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) #s(literal -2 binary64))) x)))
✓36.9%
x
✓42.0%
#s(literal 1 binary64)
Compiler

Compiled 169 to 105 computations (37.9% saved)

simplify125.0ms (1.5%)

Algorithm
1×egg-herbie
Localize:

Found 11 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(-.f64 #s(literal 1 binary64) x)
✓cost-diff0
(*.f64 y (-.f64 #s(literal 1 binary64) x))
✓cost-diff0
(-.f64 #s(literal 1 binary64) (*.f64 y (-.f64 #s(literal 1 binary64) x)))
✓cost-diff0
(/.f64 #s(literal -1 binary64) y)
✓cost-diff0
(-.f64 x (/.f64 #s(literal -1 binary64) y))
✓cost-diff0
(/.f64 #s(literal 1 binary64) y)
✓cost-diff0
(*.f64 y x)
✓cost-diff512
(+.f64 (+.f64 #s(literal 1 binary64) (/.f64 y (+.f64 #s(literal 1 binary64) y))) (*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) #s(literal -2 binary64)))
✓cost-diff512
(/.f64 (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 y (+.f64 #s(literal 1 binary64) y))) (*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) #s(literal -2 binary64))) x)
✓cost-diff512
(+.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) (/.f64 (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 y (+.f64 #s(literal 1 binary64) y))) (*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) #s(literal -2 binary64))) x))
✓cost-diff896
(*.f64 x (+.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) (/.f64 (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 y (+.f64 #s(literal 1 binary64) y))) (*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) #s(literal -2 binary64))) x)))
Rules
1664×fnmadd-define
1318×*-lowering-*.f32
1318×*-lowering-*.f64
1210×unsub-neg
1172×sum4-define
Iterations

Useful iterations: 6 (0.0ms)

IterNodesCost
020140
151119
2109114
3239108
4554106
51833106
66304101
08075101
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(* x (+ (/ y (+ 1 y)) (/ (+ (+ 1 (/ y (+ 1 y))) (* (/ y (+ 1 y)) -2)) x)))
x
(+ (/ y (+ 1 y)) (/ (+ (+ 1 (/ y (+ 1 y))) (* (/ y (+ 1 y)) -2)) x))
(/ y (+ 1 y))
y
(+ 1 y)
1
(/ (+ (+ 1 (/ y (+ 1 y))) (* (/ y (+ 1 y)) -2)) x)
(+ (+ 1 (/ y (+ 1 y))) (* (/ y (+ 1 y)) -2))
(+ 1 (/ y (+ 1 y)))
(* (/ y (+ 1 y)) -2)
-2
(* y x)
y
x
(/ 1 y)
1
y
(- x (/ -1 y))
x
(/ -1 y)
-1
y
(- 1 (* y (- 1 x)))
1
(* y (- 1 x))
y
(- 1 x)
x
Outputs
(* x (+ (/ y (+ 1 y)) (/ (+ (+ 1 (/ y (+ 1 y))) (* (/ y (+ 1 y)) -2)) x)))
(+.f64 #s(literal 1 binary64) (*.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) (+.f64 x #s(literal -1 binary64))))
x
(+ (/ y (+ 1 y)) (/ (+ (+ 1 (/ y (+ 1 y))) (* (/ y (+ 1 y)) -2)) x))
(-.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))))
(/ y (+ 1 y))
(/.f64 y (+.f64 y #s(literal 1 binary64)))
y
(+ 1 y)
(+.f64 y #s(literal 1 binary64))
1
#s(literal 1 binary64)
(/ (+ (+ 1 (/ y (+ 1 y))) (* (/ y (+ 1 y)) -2)) x)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 y (-.f64 #s(literal -1 binary64) y))) x)
(+ (+ 1 (/ y (+ 1 y))) (* (/ y (+ 1 y)) -2))
(+.f64 #s(literal 1 binary64) (/.f64 y (-.f64 #s(literal -1 binary64) y)))
(+ 1 (/ y (+ 1 y)))
(+.f64 #s(literal 1 binary64) (/.f64 y (+.f64 y #s(literal 1 binary64))))
(* (/ y (+ 1 y)) -2)
(/.f64 (*.f64 y #s(literal -2 binary64)) (+.f64 y #s(literal 1 binary64)))
-2
#s(literal -2 binary64)
(* y x)
(*.f64 x y)
y
x
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
1
#s(literal 1 binary64)
y
(- x (/ -1 y))
(+.f64 x (/.f64 #s(literal 1 binary64) y))
x
(/ -1 y)
(/.f64 #s(literal -1 binary64) y)
-1
#s(literal -1 binary64)
y
(- 1 (* y (- 1 x)))
(+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 x #s(literal -1 binary64))))
1
#s(literal 1 binary64)
(* y (- 1 x))
(*.f64 y (-.f64 #s(literal 1 binary64) x))
y
(- 1 x)
(-.f64 #s(literal 1 binary64) x)
x

localize169.0ms (2.1%)

Localize:

Found 11 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(-.f64 #s(literal 1 binary64) x)
✓accuracy100.0%
(*.f64 y (-.f64 #s(literal 1 binary64) x))
✓accuracy100.0%
(-.f64 #s(literal 1 binary64) (*.f64 y (-.f64 #s(literal 1 binary64) x)))
✓accuracy100.0%
(/.f64 #s(literal -1 binary64) y)
✓accuracy100.0%
(-.f64 x (/.f64 #s(literal -1 binary64) y))
✓accuracy100.0%
(/.f64 #s(literal 1 binary64) y)
✓accuracy100.0%
(*.f64 y x)
✓accuracy100.0%
(/.f64 y (+.f64 #s(literal 1 binary64) y))
✓accuracy99.9%
(/.f64 (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 y (+.f64 #s(literal 1 binary64) y))) (*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) #s(literal -2 binary64))) x)
✓accuracy99.9%
(*.f64 x (+.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) (/.f64 (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 y (+.f64 #s(literal 1 binary64) y))) (*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) #s(literal -2 binary64))) x)))
✓accuracy56.6%
(+.f64 (+.f64 #s(literal 1 binary64) (/.f64 y (+.f64 #s(literal 1 binary64) y))) (*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) #s(literal -2 binary64)))
Results
61.0ms89×1valid
52.0ms139×0valid
17.0ms28×2valid
Compiler

Compiled 148 to 21 computations (85.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 42.0ms
ival-div: 11.0ms (26.2% of total)
ival-mult: 10.0ms (23.8% of total)
ival-add: 8.0ms (19% of total)
backward-pass: 6.0ms (14.3% of total)
ival-sub: 5.0ms (11.9% of total)
const: 1.0ms (2.4% of total)

series10.0ms (0.1%)

Counts
12 → 228
Calls
Call 1
Inputs
#<alt (* x (+ (/ y (+ 1 y)) (/ (+ (+ 1 (/ y (+ 1 y))) (* (/ y (+ 1 y)) -2)) x)))>
#<alt (+ (/ y (+ 1 y)) (/ (+ (+ 1 (/ y (+ 1 y))) (* (/ y (+ 1 y)) -2)) x))>
#<alt (/ (+ (+ 1 (/ y (+ 1 y))) (* (/ y (+ 1 y)) -2)) x)>
#<alt (+ (+ 1 (/ y (+ 1 y))) (* (/ y (+ 1 y)) -2))>
#<alt (* y x)>
#<alt (/ 1 y)>
#<alt (- x (/ -1 y))>
#<alt (/ -1 y)>
#<alt (- 1 (* y (- 1 x)))>
#<alt (* y (- 1 x))>
#<alt (- 1 x)>
#<alt (/ y (+ 1 y))>
Outputs
#<alt (+ 1 (+ (* -2 (/ y (+ 1 y))) (/ y (+ 1 y))))>
#<alt (+ 1 (+ (* -2 (/ y (+ 1 y))) (+ (/ y (+ 1 y)) (/ (* x y) (+ 1 y)))))>
#<alt (+ 1 (+ (* -2 (/ y (+ 1 y))) (+ (/ y (+ 1 y)) (/ (* x y) (+ 1 y)))))>
#<alt (+ 1 (+ (* -2 (/ y (+ 1 y))) (+ (/ y (+ 1 y)) (/ (* x y) (+ 1 y)))))>
#<alt (/ (* x y) (+ 1 y))>
#<alt (* x (+ (* -2 (/ y (* x (+ 1 y)))) (+ (/ 1 x) (+ (/ y (* x (+ 1 y))) (/ y (+ 1 y))))))>
#<alt (* x (+ (* -2 (/ y (* x (+ 1 y)))) (+ (/ 1 x) (+ (/ y (* x (+ 1 y))) (/ y (+ 1 y))))))>
#<alt (* x (+ (* -2 (/ y (* x (+ 1 y)))) (+ (/ 1 x) (+ (/ y (* x (+ 1 y))) (/ y (+ 1 y))))))>
#<alt (/ (* x y) (+ 1 y))>
#<alt (* -1 (* x (+ (* -1 (/ y (+ 1 y))) (* -1 (/ (+ 1 (+ (* -2 (/ y (+ 1 y))) (/ y (+ 1 y)))) x)))))>
#<alt (* -1 (* x (+ (* -1 (/ y (+ 1 y))) (* -1 (/ (+ 1 (+ (* -2 (/ y (+ 1 y))) (/ y (+ 1 y)))) x)))))>
#<alt (* -1 (* x (+ (* -1 (/ y (+ 1 y))) (* -1 (/ (+ 1 (+ (* -2 (/ y (+ 1 y))) (/ y (+ 1 y)))) x)))))>
#<alt 1>
#<alt (+ 1 (* x (* y (- 1 (/ 1 x)))))>
#<alt (+ 1 (* y (+ (* x (* y (- (/ 1 x) 1))) (* x (- 1 (/ 1 x))))))>
#<alt (+ 1 (* y (+ (* x (- 1 (/ 1 x))) (* y (+ (* x (* y (- 1 (/ 1 x)))) (* x (- (/ 1 x) 1)))))))>
#<alt x>
#<alt (+ x (/ (* x (- (/ 1 x) 1)) y))>
#<alt (+ x (+ (/ (* x (- 1 (/ 1 x))) (pow y 2)) (/ (* x (- (/ 1 x) 1)) y)))>
#<alt (+ x (+ (/ (* x (- 1 (/ 1 x))) (pow y 2)) (+ (/ (* x (- (/ 1 x) 1)) y) (/ (* x (- (/ 1 x) 1)) (pow y 3)))))>
#<alt x>
#<alt (+ x (* -1 (/ (* x (- 1 (/ 1 x))) y)))>
#<alt (+ x (* -1 (/ (+ (* -1 (/ (* x (- 1 (/ 1 x))) y)) (* x (- 1 (/ 1 x)))) y)))>
#<alt (+ x (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* x (- 1 (/ 1 x))) y)) (* x (- 1 (/ 1 x)))) y)) (* x (- 1 (/ 1 x)))) y)))>
#<alt (/ 1 x)>
#<alt (+ (* y (- 1 (/ 1 x))) (/ 1 x))>
#<alt (+ (* y (- (+ 1 (* y (- (/ 1 x) 1))) (/ 1 x))) (/ 1 x))>
#<alt (+ (* y (- (+ 1 (* y (- (+ (* y (- 1 (/ 1 x))) (/ 1 x)) 1))) (/ 1 x))) (/ 1 x))>
#<alt 1>
#<alt (- (+ 1 (/ 1 (* x y))) (/ 1 y))>
#<alt (- (+ 1 (+ (/ 1 (* x y)) (/ 1 (pow y 2)))) (+ (/ 1 y) (/ 1 (* x (pow y 2)))))>
#<alt (- (+ 1 (+ (/ 1 (* x y)) (+ (/ 1 (* x (pow y 3))) (/ 1 (pow y 2))))) (+ (/ 1 y) (+ (/ 1 (* x (pow y 2))) (/ 1 (pow y 3)))))>
#<alt 1>
#<alt (+ 1 (* -1 (/ (- 1 (/ 1 x)) y)))>
#<alt (+ 1 (* -1 (/ (- (+ 1 (* -1 (/ (- 1 (/ 1 x)) y))) (/ 1 x)) y)))>
#<alt (+ 1 (* -1 (/ (- (+ 1 (* -1 (/ (- (+ 1 (* -1 (/ (- 1 (/ 1 x)) y))) (/ 1 x)) y))) (/ 1 x)) y)))>
#<alt (/ (+ 1 (+ (* -2 (/ y (+ 1 y))) (/ y (+ 1 y)))) x)>
#<alt (/ (+ 1 (+ (* -2 (/ y (+ 1 y))) (+ (/ y (+ 1 y)) (/ (* x y) (+ 1 y))))) x)>
#<alt (/ (+ 1 (+ (* -2 (/ y (+ 1 y))) (+ (/ y (+ 1 y)) (/ (* x y) (+ 1 y))))) x)>
#<alt (/ (+ 1 (+ (* -2 (/ y (+ 1 y))) (+ (/ y (+ 1 y)) (/ (* x y) (+ 1 y))))) x)>
#<alt (/ y (+ 1 y))>
#<alt (+ (* -2 (/ y (* x (+ 1 y)))) (+ (/ 1 x) (+ (/ y (* x (+ 1 y))) (/ y (+ 1 y)))))>
#<alt (+ (* -2 (/ y (* x (+ 1 y)))) (+ (/ 1 x) (+ (/ y (* x (+ 1 y))) (/ y (+ 1 y)))))>
#<alt (+ (* -2 (/ y (* x (+ 1 y)))) (+ (/ 1 x) (+ (/ y (* x (+ 1 y))) (/ y (+ 1 y)))))>
#<alt (/ y (+ 1 y))>
#<alt (+ (* -2 (/ y (* x (+ 1 y)))) (+ (/ 1 x) (+ (/ y (* x (+ 1 y))) (/ y (+ 1 y)))))>
#<alt (+ (* -2 (/ y (* x (+ 1 y)))) (+ (/ 1 x) (+ (/ y (* x (+ 1 y))) (/ y (+ 1 y)))))>
#<alt (+ (* -2 (/ y (* x (+ 1 y)))) (+ (/ 1 x) (+ (/ y (* x (+ 1 y))) (/ y (+ 1 y)))))>
#<alt (/ 1 x)>
#<alt (+ (* -1 (/ y x)) (/ 1 x))>
#<alt (+ (* y (- (/ y x) (/ 1 x))) (/ 1 x))>
#<alt (+ (* y (- (* y (+ (* -1 (/ y x)) (/ 1 x))) (/ 1 x))) (/ 1 x))>
#<alt (/ 1 (* x y))>
#<alt (/ (- (/ 1 x) (/ 1 (* x y))) y)>
#<alt (/ (- (+ (/ 1 x) (/ 1 (* x (pow y 2)))) (/ 1 (* x y))) y)>
#<alt (/ (- (+ (/ 1 x) (/ 1 (* x (pow y 2)))) (+ (/ 1 (* x y)) (/ 1 (* x (pow y 3))))) y)>
#<alt (/ 1 (* x y))>
#<alt (* -1 (/ (- (/ 1 (* x y)) (/ 1 x)) y))>
#<alt (* -1 (/ (- (* -1 (/ (- (/ 1 (* x y)) (/ 1 x)) y)) (/ 1 x)) y))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 (* x y)) (/ 1 x)) y)) (/ 1 x)) y)) (/ 1 x)) y))>
#<alt (/ (+ 1 (+ (* -2 (/ y (+ 1 y))) (/ y (+ 1 y)))) x)>
#<alt (/ (+ 1 (+ (* -2 (/ y (+ 1 y))) (/ y (+ 1 y)))) x)>
#<alt (/ (+ 1 (+ (* -2 (/ y (+ 1 y))) (/ y (+ 1 y)))) x)>
#<alt (/ (+ 1 (+ (* -2 (/ y (+ 1 y))) (/ y (+ 1 y)))) x)>
#<alt (/ (+ 1 (+ (* -2 (/ y (+ 1 y))) (/ y (+ 1 y)))) x)>
#<alt (/ (+ 1 (+ (* -2 (/ y (+ 1 y))) (/ y (+ 1 y)))) x)>
#<alt (/ (+ 1 (+ (* -2 (/ y (+ 1 y))) (/ y (+ 1 y)))) x)>
#<alt (/ (+ 1 (+ (* -2 (/ y (+ 1 y))) (/ y (+ 1 y)))) x)>
#<alt (/ (+ 1 (+ (* -2 (/ y (+ 1 y))) (/ y (+ 1 y)))) x)>
#<alt (/ (+ 1 (+ (* -2 (/ y (+ 1 y))) (/ y (+ 1 y)))) x)>
#<alt (/ (+ 1 (+ (* -2 (/ y (+ 1 y))) (/ y (+ 1 y)))) x)>
#<alt (/ (+ 1 (+ (* -2 (/ y (+ 1 y))) (/ y (+ 1 y)))) x)>
#<alt 1>
#<alt (+ 1 (* -1 y))>
#<alt (+ 1 (* y (- y 1)))>
#<alt (+ 1 (* y (- (* y (+ 1 (* -1 y))) 1)))>
#<alt (/ 1 y)>
#<alt (/ (- 1 (/ 1 y)) y)>
#<alt (/ (- (+ 1 (/ 1 (pow y 2))) (/ 1 y)) y)>
#<alt (/ (- (+ 1 (/ 1 (pow y 2))) (+ (/ 1 y) (/ 1 (pow y 3)))) y)>
#<alt (/ 1 y)>
#<alt (* -1 (/ (- (/ 1 y) 1) y))>
#<alt (* -1 (/ (- (* -1 (/ (- (/ 1 y) 1) y)) 1) y))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 y) 1) y)) 1) y)) 1) y))>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (+ x (/ 1 y))>
#<alt (+ x (/ 1 y))>
#<alt (+ x (/ 1 y))>
#<alt x>
#<alt (* x (+ 1 (/ 1 (* x y))))>
#<alt (* x (+ 1 (/ 1 (* x y))))>
#<alt (* x (+ 1 (/ 1 (* x y))))>
#<alt x>
#<alt (* x (+ 1 (/ 1 (* x y))))>
#<alt (* x (+ 1 (/ 1 (* x y))))>
#<alt (* x (+ 1 (/ 1 (* x y))))>
#<alt (/ 1 y)>
#<alt (/ (+ 1 (* x y)) y)>
#<alt (/ (+ 1 (* x y)) y)>
#<alt (/ (+ 1 (* x y)) y)>
#<alt x>
#<alt (+ x (/ 1 y))>
#<alt (+ x (/ 1 y))>
#<alt (+ x (/ 1 y))>
#<alt x>
#<alt (+ x (/ 1 y))>
#<alt (+ x (/ 1 y))>
#<alt (+ x (/ 1 y))>
#<alt (/ -1 y)>
#<alt (/ -1 y)>
#<alt (/ -1 y)>
#<alt (/ -1 y)>
#<alt (/ -1 y)>
#<alt (/ -1 y)>
#<alt (/ -1 y)>
#<alt (/ -1 y)>
#<alt (/ -1 y)>
#<alt (/ -1 y)>
#<alt (/ -1 y)>
#<alt (/ -1 y)>
#<alt 1>
#<alt (+ 1 (* y (- x 1)))>
#<alt (+ 1 (* y (- x 1)))>
#<alt (+ 1 (* y (- x 1)))>
#<alt (* y (- x 1))>
#<alt (* y (- (+ x (/ 1 y)) 1))>
#<alt (* y (- (+ x (/ 1 y)) 1))>
#<alt (* y (- (+ x (/ 1 y)) 1))>
#<alt (* -1 (* y (- 1 x)))>
#<alt (* y (+ (* -1 (- 1 x)) (/ 1 y)))>
#<alt (* y (+ (* -1 (- 1 x)) (/ 1 y)))>
#<alt (* y (+ (* -1 (- 1 x)) (/ 1 y)))>
#<alt (- 1 y)>
#<alt (- (+ 1 (* x y)) y)>
#<alt (- (+ 1 (* x y)) y)>
#<alt (- (+ 1 (* x y)) y)>
#<alt (* x y)>
#<alt (* x (- (/ 1 x) (+ (* -1 y) (/ y x))))>
#<alt (* x (- (/ 1 x) (+ (* -1 y) (/ y x))))>
#<alt (* x (- (/ 1 x) (+ (* -1 y) (/ y x))))>
#<alt (* x y)>
#<alt (* -1 (* x (- (* -1 (/ (- 1 y) x)) y)))>
#<alt (* -1 (* x (- (* -1 (/ (- 1 y) x)) y)))>
#<alt (* -1 (* x (- (* -1 (/ (- 1 y) x)) y)))>
#<alt (* y (- 1 x))>
#<alt (* y (- 1 x))>
#<alt (* y (- 1 x))>
#<alt (* y (- 1 x))>
#<alt (* y (- 1 x))>
#<alt (* y (- 1 x))>
#<alt (* y (- 1 x))>
#<alt (* y (- 1 x))>
#<alt (* y (- 1 x))>
#<alt (* y (- 1 x))>
#<alt (* y (- 1 x))>
#<alt (* y (- 1 x))>
#<alt y>
#<alt (+ y (* -1 (* x y)))>
#<alt (+ y (* -1 (* x y)))>
#<alt (+ y (* -1 (* x y)))>
#<alt (* -1 (* x y))>
#<alt (* x (+ (* -1 y) (/ y x)))>
#<alt (* x (+ (* -1 y) (/ y x)))>
#<alt (* x (+ (* -1 y) (/ y x)))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x (+ y (* -1 (/ y x)))))>
#<alt (* -1 (* x (+ y (* -1 (/ y x)))))>
#<alt (* -1 (* x (+ y (* -1 (/ y x)))))>
#<alt 1>
#<alt (+ 1 (* -1 x))>
#<alt (+ 1 (* -1 x))>
#<alt (+ 1 (* -1 x))>
#<alt (* -1 x)>
#<alt (* x (- (/ 1 x) 1))>
#<alt (* x (- (/ 1 x) 1))>
#<alt (* x (- (/ 1 x) 1))>
#<alt (* -1 x)>
#<alt (* -1 (* x (- 1 (/ 1 x))))>
#<alt (* -1 (* x (- 1 (/ 1 x))))>
#<alt (* -1 (* x (- 1 (/ 1 x))))>
#<alt y>
#<alt (* y (+ 1 (* -1 y)))>
#<alt (* y (+ 1 (* y (- y 1))))>
#<alt (* y (+ 1 (* y (- (* y (+ 1 (* -1 y))) 1))))>
#<alt 1>
#<alt (- 1 (/ 1 y))>
#<alt (- (+ 1 (/ 1 (pow y 2))) (/ 1 y))>
#<alt (- (+ 1 (/ 1 (pow y 2))) (+ (/ 1 y) (/ 1 (pow y 3))))>
#<alt 1>
#<alt (- 1 (/ 1 y))>
#<alt (+ 1 (* -1 (/ (- 1 (/ 1 y)) y)))>
#<alt (+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 y)) y))) y)))>
Calls

57 calls:

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

rewrite370.0ms (4.5%)

Algorithm
1×batch-egg-rewrite
Rules
3182×/-lowering-/.f32
3182×/-lowering-/.f64
2768×*-lowering-*.f32
2768×*-lowering-*.f64
2028×+-lowering-+.f64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
020109
115388
2168678
0837778
Stop Event
1×iter limit
1×node limit
Counts
12 → 392
Calls
Call 1
Inputs
(* x (+ (/ y (+ 1 y)) (/ (+ (+ 1 (/ y (+ 1 y))) (* (/ y (+ 1 y)) -2)) x)))
(+ (/ y (+ 1 y)) (/ (+ (+ 1 (/ y (+ 1 y))) (* (/ y (+ 1 y)) -2)) x))
(/ (+ (+ 1 (/ y (+ 1 y))) (* (/ y (+ 1 y)) -2)) x)
(+ (+ 1 (/ y (+ 1 y))) (* (/ y (+ 1 y)) -2))
(* y x)
(/ 1 y)
(- x (/ -1 y))
(/ -1 y)
(- 1 (* y (- 1 x)))
(* y (- 1 x))
(- 1 x)
(/ y (+ 1 y))
Outputs
(+.f64 (/.f64 x (/.f64 (+.f64 y #s(literal 1 binary64)) y)) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y (+.f64 y #s(literal 1 binary64)))) #s(literal 1 binary64)))
(+.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y (+.f64 y #s(literal 1 binary64)))) #s(literal 1 binary64)) (/.f64 x (/.f64 (+.f64 y #s(literal 1 binary64)) y)))
(-.f64 (/.f64 (*.f64 (/.f64 x (/.f64 (+.f64 y #s(literal 1 binary64)) y)) (/.f64 x (/.f64 (+.f64 y #s(literal 1 binary64)) y))) (-.f64 (/.f64 x (/.f64 (+.f64 y #s(literal 1 binary64)) y)) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y (+.f64 y #s(literal 1 binary64)))) #s(literal 1 binary64)))) (/.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y (+.f64 y #s(literal 1 binary64)))) #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y (+.f64 y #s(literal 1 binary64)))) #s(literal 1 binary64))) (-.f64 (/.f64 x (/.f64 (+.f64 y #s(literal 1 binary64)) y)) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y (+.f64 y #s(literal 1 binary64)))) #s(literal 1 binary64)))))
(fma.f64 x (/.f64 y (+.f64 y #s(literal 1 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y (+.f64 y #s(literal 1 binary64)))) #s(literal 1 binary64)))
(fma.f64 x (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y (+.f64 y #s(literal 1 binary64)))) x) (/.f64 x (/.f64 (+.f64 y #s(literal 1 binary64)) y)))
(fma.f64 y (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))) x) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y (+.f64 y #s(literal 1 binary64)))) #s(literal 1 binary64)))
(fma.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) x (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y (+.f64 y #s(literal 1 binary64)))) #s(literal 1 binary64)))
(fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 y (+.f64 y #s(literal 1 binary64)))) #s(literal 1 binary64) (/.f64 x (/.f64 (+.f64 y #s(literal 1 binary64)) y)))
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y (+.f64 y #s(literal 1 binary64)))) x) x (/.f64 x (/.f64 (+.f64 y #s(literal 1 binary64)) y)))
(fma.f64 (*.f64 x y) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y (+.f64 y #s(literal 1 binary64)))) #s(literal 1 binary64)))
(fma.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y (+.f64 y #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) x) (/.f64 x (/.f64 (+.f64 y #s(literal 1 binary64)) y)))
(/.f64 (+.f64 (/.f64 (*.f64 x (*.f64 x x)) (/.f64 (*.f64 (+.f64 y #s(literal 1 binary64)) (*.f64 (+.f64 y #s(literal 1 binary64)) (+.f64 y #s(literal 1 binary64)))) (*.f64 y (*.f64 y y)))) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y (+.f64 y #s(literal 1 binary64)))) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y (+.f64 y #s(literal 1 binary64)))) (-.f64 #s(literal 1 binary64) (/.f64 y (+.f64 y #s(literal 1 binary64)))))) #s(literal 1 binary64))) (+.f64 (*.f64 (/.f64 x (/.f64 (+.f64 y #s(literal 1 binary64)) y)) (/.f64 x (/.f64 (+.f64 y #s(literal 1 binary64)) y))) (-.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y (+.f64 y #s(literal 1 binary64)))) #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y (+.f64 y #s(literal 1 binary64)))) #s(literal 1 binary64))) (*.f64 (/.f64 x (/.f64 (+.f64 y #s(literal 1 binary64)) y)) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y (+.f64 y #s(literal 1 binary64)))) #s(literal 1 binary64))))))
(/.f64 (-.f64 (*.f64 (/.f64 x (/.f64 (+.f64 y #s(literal 1 binary64)) y)) (/.f64 x (/.f64 (+.f64 y #s(literal 1 binary64)) y))) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y (+.f64 y #s(literal 1 binary64)))) #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y (+.f64 y #s(literal 1 binary64)))) #s(literal 1 binary64)))) (-.f64 (/.f64 x (/.f64 (+.f64 y #s(literal 1 binary64)) y)) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y (+.f64 y #s(literal 1 binary64)))) #s(literal 1 binary64))))
(/.f64 (*.f64 x (+.f64 (*.f64 x y) (*.f64 (+.f64 y #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 y (+.f64 y #s(literal 1 binary64))))))) (*.f64 x (+.f64 y #s(literal 1 binary64))))
(/.f64 (*.f64 x (+.f64 (*.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) (/.f64 y (*.f64 (/.f64 (+.f64 y #s(literal 1 binary64)) y) (+.f64 y #s(literal 1 binary64))))) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y (+.f64 y #s(literal 1 binary64)))) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y (+.f64 y #s(literal 1 binary64)))) (-.f64 #s(literal 1 binary64) (/.f64 y (+.f64 y #s(literal 1 binary64)))))) (*.f64 x (*.f64 x x))))) (+.f64 (/.f64 y (*.f64 (/.f64 (+.f64 y #s(literal 1 binary64)) y) (+.f64 y #s(literal 1 binary64)))) (/.f64 (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y (+.f64 y #s(literal 1 binary64)))) x) (/.f64 y (+.f64 y #s(literal 1 binary64)))) (/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y (+.f64 y #s(literal 1 binary64))))))))
(/.f64 (*.f64 x (-.f64 (/.f64 y (*.f64 (/.f64 (+.f64 y #s(literal 1 binary64)) y) (+.f64 y #s(literal 1 binary64)))) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y (+.f64 y #s(literal 1 binary64)))) x) (/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y (+.f64 y #s(literal 1 binary64)))))))) (-.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y (+.f64 y #s(literal 1 binary64)))) x)))
(/.f64 (*.f64 (+.f64 (*.f64 x y) (*.f64 (+.f64 y #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 y (+.f64 y #s(literal 1 binary64)))))) x) (*.f64 x (+.f64 y #s(literal 1 binary64))))
(/.f64 (*.f64 (+.f64 (*.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) (/.f64 y (*.f64 (/.f64 (+.f64 y #s(literal 1 binary64)) y) (+.f64 y #s(literal 1 binary64))))) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y (+.f64 y #s(literal 1 binary64)))) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y (+.f64 y #s(literal 1 binary64)))) (-.f64 #s(literal 1 binary64) (/.f64 y (+.f64 y #s(literal 1 binary64)))))) (*.f64 x (*.f64 x x)))) x) (+.f64 (/.f64 y (*.f64 (/.f64 (+.f64 y #s(literal 1 binary64)) y) (+.f64 y #s(literal 1 binary64)))) (/.f64 (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y (+.f64 y #s(literal 1 binary64)))) x) (/.f64 y (+.f64 y #s(literal 1 binary64)))) (/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y (+.f64 y #s(literal 1 binary64))))))))
(/.f64 (*.f64 (-.f64 (/.f64 y (*.f64 (/.f64 (+.f64 y #s(literal 1 binary64)) y) (+.f64 y #s(literal 1 binary64)))) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y (+.f64 y #s(literal 1 binary64)))) x) (/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y (+.f64 y #s(literal 1 binary64))))))) x) (-.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y (+.f64 y #s(literal 1 binary64)))) x)))
(/.f64 (neg.f64 (+.f64 (/.f64 (*.f64 x (*.f64 x x)) (/.f64 (*.f64 (+.f64 y #s(literal 1 binary64)) (*.f64 (+.f64 y #s(literal 1 binary64)) (+.f64 y #s(literal 1 binary64)))) (*.f64 y (*.f64 y y)))) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y (+.f64 y #s(literal 1 binary64)))) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y (+.f64 y #s(literal 1 binary64)))) (-.f64 #s(literal 1 binary64) (/.f64 y (+.f64 y #s(literal 1 binary64)))))) #s(literal 1 binary64)))) (neg.f64 (+.f64 (*.f64 (/.f64 x (/.f64 (+.f64 y #s(literal 1 binary64)) y)) (/.f64 x (/.f64 (+.f64 y #s(literal 1 binary64)) y))) (-.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y (+.f64 y #s(literal 1 binary64)))) #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y (+.f64 y #s(literal 1 binary64)))) #s(literal 1 binary64))) (*.f64 (/.f64 x (/.f64 (+.f64 y #s(literal 1 binary64)) y)) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y (+.f64 y #s(literal 1 binary64)))) #s(literal 1 binary64)))))))
(/.f64 (neg.f64 (-.f64 (*.f64 (/.f64 x (/.f64 (+.f64 y #s(literal 1 binary64)) y)) (/.f64 x (/.f64 (+.f64 y #s(literal 1 binary64)) y))) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y (+.f64 y #s(literal 1 binary64)))) #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y (+.f64 y #s(literal 1 binary64)))) #s(literal 1 binary64))))) (neg.f64 (-.f64 (/.f64 x (/.f64 (+.f64 y #s(literal 1 binary64)) y)) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y (+.f64 y #s(literal 1 binary64)))) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (*.f64 x (+.f64 (*.f64 x y) (*.f64 (+.f64 y #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 y (+.f64 y #s(literal 1 binary64)))))))) (neg.f64 (*.f64 x (+.f64 y #s(literal 1 binary64)))))
(/.f64 (neg.f64 (*.f64 x (+.f64 (*.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) (/.f64 y (*.f64 (/.f64 (+.f64 y #s(literal 1 binary64)) y) (+.f64 y #s(literal 1 binary64))))) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y (+.f64 y #s(literal 1 binary64)))) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y (+.f64 y #s(literal 1 binary64)))) (-.f64 #s(literal 1 binary64) (/.f64 y (+.f64 y #s(literal 1 binary64)))))) (*.f64 x (*.f64 x x)))))) (neg.f64 (+.f64 (/.f64 y (*.f64 (/.f64 (+.f64 y #s(literal 1 binary64)) y) (+.f64 y #s(literal 1 binary64)))) (/.f64 (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y (+.f64 y #s(literal 1 binary64)))) x) (/.f64 y (+.f64 y #s(literal 1 binary64)))) (/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y (+.f64 y #s(literal 1 binary64)))))))))
(/.f64 (neg.f64 (*.f64 x (-.f64 (/.f64 y (*.f64 (/.f64 (+.f64 y #s(literal 1 binary64)) y) (+.f64 y #s(literal 1 binary64)))) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y (+.f64 y #s(literal 1 binary64)))) x) (/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y (+.f64 y #s(literal 1 binary64))))))))) (neg.f64 (-.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y (+.f64 y #s(literal 1 binary64)))) x))))
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(+.f64 y (*.f64 y (-.f64 #s(literal 0 binary64) x)))
(+.f64 y (*.f64 (-.f64 #s(literal 0 binary64) x) y))
(fma.f64 y #s(literal 1 binary64) (*.f64 y (-.f64 #s(literal 0 binary64) x)))
(fma.f64 y #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 0 binary64) x) y))
(fma.f64 #s(literal 1 binary64) y (*.f64 y (-.f64 #s(literal 0 binary64) x)))
(fma.f64 #s(literal 1 binary64) y (*.f64 (-.f64 #s(literal 0 binary64) x) y))
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(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) y)) (neg.f64 (+.f64 x #s(literal 1 binary64))))
(/.f64 (+.f64 (*.f64 y (*.f64 y y)) (pow.f64 (*.f64 y (-.f64 #s(literal 0 binary64) x)) #s(literal 3 binary64))) (+.f64 (*.f64 y y) (-.f64 (*.f64 (*.f64 y (-.f64 #s(literal 0 binary64) x)) (*.f64 y (-.f64 #s(literal 0 binary64) x))) (*.f64 y (*.f64 y (-.f64 #s(literal 0 binary64) x))))))
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(*.f64 y (-.f64 #s(literal 1 binary64) x))
(*.f64 #s(literal 1 binary64) (*.f64 y (-.f64 #s(literal 1 binary64) x)))
(*.f64 (-.f64 #s(literal 1 binary64) x) y)
(*.f64 (*.f64 y (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
(*.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) y)
(+.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x))
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(-.f64 #s(literal 1 binary64) x)
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal 1 binary64))))) (/.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal 1 binary64))))))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 (*.f64 x x) (+.f64 x #s(literal 1 binary64))))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x))) (/.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x))))
(fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal 1 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 x x))))
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(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 x x)))))
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(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 x x) (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x)))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 x #s(literal 1 binary64)))
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(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 y y))) (/.f64 y (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y))))

simplify287.0ms (3.5%)

Algorithm
1×egg-herbie
Rules
2916×+-lowering-+.f64
2916×+-lowering-+.f32
2638×*-lowering-*.f32
2638×*-lowering-*.f64
2574×--lowering--.f32
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
02081745
16771555
220391424
376631415
087541415
Stop Event
1×iter limit
1×node limit
Counts
228 → 228
Calls
Call 1
Inputs
(+ 1 (+ (* -2 (/ y (+ 1 y))) (/ y (+ 1 y))))
(+ 1 (+ (* -2 (/ y (+ 1 y))) (+ (/ y (+ 1 y)) (/ (* x y) (+ 1 y)))))
(+ 1 (+ (* -2 (/ y (+ 1 y))) (+ (/ y (+ 1 y)) (/ (* x y) (+ 1 y)))))
(+ 1 (+ (* -2 (/ y (+ 1 y))) (+ (/ y (+ 1 y)) (/ (* x y) (+ 1 y)))))
(/ (* x y) (+ 1 y))
(* x (+ (* -2 (/ y (* x (+ 1 y)))) (+ (/ 1 x) (+ (/ y (* x (+ 1 y))) (/ y (+ 1 y))))))
(* x (+ (* -2 (/ y (* x (+ 1 y)))) (+ (/ 1 x) (+ (/ y (* x (+ 1 y))) (/ y (+ 1 y))))))
(* x (+ (* -2 (/ y (* x (+ 1 y)))) (+ (/ 1 x) (+ (/ y (* x (+ 1 y))) (/ y (+ 1 y))))))
(/ (* x y) (+ 1 y))
(* -1 (* x (+ (* -1 (/ y (+ 1 y))) (* -1 (/ (+ 1 (+ (* -2 (/ y (+ 1 y))) (/ y (+ 1 y)))) x)))))
(* -1 (* x (+ (* -1 (/ y (+ 1 y))) (* -1 (/ (+ 1 (+ (* -2 (/ y (+ 1 y))) (/ y (+ 1 y)))) x)))))
(* -1 (* x (+ (* -1 (/ y (+ 1 y))) (* -1 (/ (+ 1 (+ (* -2 (/ y (+ 1 y))) (/ y (+ 1 y)))) x)))))
1
(+ 1 (* x (* y (- 1 (/ 1 x)))))
(+ 1 (* y (+ (* x (* y (- (/ 1 x) 1))) (* x (- 1 (/ 1 x))))))
(+ 1 (* y (+ (* x (- 1 (/ 1 x))) (* y (+ (* x (* y (- 1 (/ 1 x)))) (* x (- (/ 1 x) 1)))))))
x
(+ x (/ (* x (- (/ 1 x) 1)) y))
(+ x (+ (/ (* x (- 1 (/ 1 x))) (pow y 2)) (/ (* x (- (/ 1 x) 1)) y)))
(+ x (+ (/ (* x (- 1 (/ 1 x))) (pow y 2)) (+ (/ (* x (- (/ 1 x) 1)) y) (/ (* x (- (/ 1 x) 1)) (pow y 3)))))
x
(+ x (* -1 (/ (* x (- 1 (/ 1 x))) y)))
(+ x (* -1 (/ (+ (* -1 (/ (* x (- 1 (/ 1 x))) y)) (* x (- 1 (/ 1 x)))) y)))
(+ x (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* x (- 1 (/ 1 x))) y)) (* x (- 1 (/ 1 x)))) y)) (* x (- 1 (/ 1 x)))) y)))
(/ 1 x)
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1
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(- (+ 1 (+ (/ 1 (* x y)) (+ (/ 1 (* x (pow y 3))) (/ 1 (pow y 2))))) (+ (/ 1 y) (+ (/ 1 (* x (pow y 2))) (/ 1 (pow y 3)))))
1
(+ 1 (* -1 (/ (- 1 (/ 1 x)) y)))
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(/ (+ 1 (+ (* -2 (/ y (+ 1 y))) (+ (/ y (+ 1 y)) (/ (* x y) (+ 1 y))))) x)
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(/ y (+ 1 y))
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(/ 1 x)
(+ (* -1 (/ y x)) (/ 1 x))
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(/ 1 (* x y))
(/ (- (/ 1 x) (/ 1 (* x y))) y)
(/ (- (+ (/ 1 x) (/ 1 (* x (pow y 2)))) (/ 1 (* x y))) y)
(/ (- (+ (/ 1 x) (/ 1 (* x (pow y 2)))) (+ (/ 1 (* x y)) (/ 1 (* x (pow y 3))))) y)
(/ 1 (* x y))
(* -1 (/ (- (/ 1 (* x y)) (/ 1 x)) y))
(* -1 (/ (- (* -1 (/ (- (/ 1 (* x y)) (/ 1 x)) y)) (/ 1 x)) y))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 (* x y)) (/ 1 x)) y)) (/ 1 x)) y)) (/ 1 x)) y))
(/ (+ 1 (+ (* -2 (/ y (+ 1 y))) (/ y (+ 1 y)))) x)
(/ (+ 1 (+ (* -2 (/ y (+ 1 y))) (/ y (+ 1 y)))) x)
(/ (+ 1 (+ (* -2 (/ y (+ 1 y))) (/ y (+ 1 y)))) x)
(/ (+ 1 (+ (* -2 (/ y (+ 1 y))) (/ y (+ 1 y)))) x)
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(/ (+ 1 (+ (* -2 (/ y (+ 1 y))) (/ y (+ 1 y)))) x)
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(/ (+ 1 (+ (* -2 (/ y (+ 1 y))) (/ y (+ 1 y)))) x)
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(/ (+ 1 (+ (* -2 (/ y (+ 1 y))) (/ y (+ 1 y)))) x)
(/ (+ 1 (+ (* -2 (/ y (+ 1 y))) (/ y (+ 1 y)))) x)
(/ (+ 1 (+ (* -2 (/ y (+ 1 y))) (/ y (+ 1 y)))) x)
1
(+ 1 (* -1 y))
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(/ 1 y)
(/ (- 1 (/ 1 y)) y)
(/ (- (+ 1 (/ 1 (pow y 2))) (/ 1 y)) y)
(/ (- (+ 1 (/ 1 (pow y 2))) (+ (/ 1 y) (/ 1 (pow y 3)))) y)
(/ 1 y)
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(* -1 (/ (- (* -1 (/ (- (/ 1 y) 1) y)) 1) y))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 y) 1) y)) 1) y)) 1) y))
(* x y)
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(/ 1 y)
(+ x (/ 1 y))
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(+ x (/ 1 y))
x
(* x (+ 1 (/ 1 (* x y))))
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x
(* x (+ 1 (/ 1 (* x y))))
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(* x (+ 1 (/ 1 (* x y))))
(/ 1 y)
(/ (+ 1 (* x y)) y)
(/ (+ 1 (* x y)) y)
(/ (+ 1 (* x y)) y)
x
(+ x (/ 1 y))
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x
(+ x (/ 1 y))
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(+ x (/ 1 y))
(/ -1 y)
(/ -1 y)
(/ -1 y)
(/ -1 y)
(/ -1 y)
(/ -1 y)
(/ -1 y)
(/ -1 y)
(/ -1 y)
(/ -1 y)
(/ -1 y)
(/ -1 y)
1
(+ 1 (* y (- x 1)))
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(* y (- x 1))
(* y (- (+ x (/ 1 y)) 1))
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(* -1 (* y (- 1 x)))
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(* y (+ (* -1 (- 1 x)) (/ 1 y)))
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(- (+ 1 (* x y)) y)
(- (+ 1 (* x y)) y)
(- (+ 1 (* x y)) y)
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(* x (- (/ 1 x) (+ (* -1 y) (/ y x))))
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(+ y (* -1 (* x y)))
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(* x (+ (* -1 y) (/ y x)))
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(* -1 (* x y))
(* -1 (* x (+ y (* -1 (/ y x)))))
(* -1 (* x (+ y (* -1 (/ y x)))))
(* -1 (* x (+ y (* -1 (/ y x)))))
1
(+ 1 (* -1 x))
(+ 1 (* -1 x))
(+ 1 (* -1 x))
(* -1 x)
(* x (- (/ 1 x) 1))
(* x (- (/ 1 x) 1))
(* x (- (/ 1 x) 1))
(* -1 x)
(* -1 (* x (- 1 (/ 1 x))))
(* -1 (* x (- 1 (/ 1 x))))
(* -1 (* x (- 1 (/ 1 x))))
y
(* y (+ 1 (* -1 y)))
(* y (+ 1 (* y (- y 1))))
(* y (+ 1 (* y (- (* y (+ 1 (* -1 y))) 1))))
1
(- 1 (/ 1 y))
(- (+ 1 (/ 1 (pow y 2))) (/ 1 y))
(- (+ 1 (/ 1 (pow y 2))) (+ (/ 1 y) (/ 1 (pow y 3))))
1
(- 1 (/ 1 y))
(+ 1 (* -1 (/ (- 1 (/ 1 y)) y)))
(+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 y)) y))) y)))
Outputs
(+ 1 (+ (* -2 (/ y (+ 1 y))) (/ y (+ 1 y))))
(-.f64 #s(literal 1 binary64) (/.f64 y (+.f64 #s(literal 1 binary64) y)))
(+ 1 (+ (* -2 (/ y (+ 1 y))) (+ (/ y (+ 1 y)) (/ (* x y) (+ 1 y)))))
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (+.f64 x #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) y)))
(+ 1 (+ (* -2 (/ y (+ 1 y))) (+ (/ y (+ 1 y)) (/ (* x y) (+ 1 y)))))
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (+.f64 x #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) y)))
(+ 1 (+ (* -2 (/ y (+ 1 y))) (+ (/ y (+ 1 y)) (/ (* x y) (+ 1 y)))))
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (+.f64 x #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) y)))
(/ (* x y) (+ 1 y))
(/.f64 (*.f64 y x) (+.f64 #s(literal 1 binary64) y))
(* x (+ (* -2 (/ y (* x (+ 1 y)))) (+ (/ 1 x) (+ (/ y (* x (+ 1 y))) (/ y (+ 1 y))))))
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (+.f64 x #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) y)))
(* x (+ (* -2 (/ y (* x (+ 1 y)))) (+ (/ 1 x) (+ (/ y (* x (+ 1 y))) (/ y (+ 1 y))))))
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (+.f64 x #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) y)))
(* x (+ (* -2 (/ y (* x (+ 1 y)))) (+ (/ 1 x) (+ (/ y (* x (+ 1 y))) (/ y (+ 1 y))))))
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (+.f64 x #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) y)))
(/ (* x y) (+ 1 y))
(/.f64 (*.f64 y x) (+.f64 #s(literal 1 binary64) y))
(* -1 (* x (+ (* -1 (/ y (+ 1 y))) (* -1 (/ (+ 1 (+ (* -2 (/ y (+ 1 y))) (/ y (+ 1 y)))) x)))))
(-.f64 (/.f64 (*.f64 y x) (+.f64 #s(literal 1 binary64) y)) (*.f64 (+.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) #s(literal -1 binary64)) #s(literal 1 binary64)))
(* -1 (* x (+ (* -1 (/ y (+ 1 y))) (* -1 (/ (+ 1 (+ (* -2 (/ y (+ 1 y))) (/ y (+ 1 y)))) x)))))
(-.f64 (/.f64 (*.f64 y x) (+.f64 #s(literal 1 binary64) y)) (*.f64 (+.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) #s(literal -1 binary64)) #s(literal 1 binary64)))
(* -1 (* x (+ (* -1 (/ y (+ 1 y))) (* -1 (/ (+ 1 (+ (* -2 (/ y (+ 1 y))) (/ y (+ 1 y)))) x)))))
(-.f64 (/.f64 (*.f64 y x) (+.f64 #s(literal 1 binary64) y)) (*.f64 (+.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) #s(literal -1 binary64)) #s(literal 1 binary64)))
1
#s(literal 1 binary64)
(+ 1 (* x (* y (- 1 (/ 1 x)))))
(+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 x #s(literal -1 binary64))))
(+ 1 (* y (+ (* x (* y (- (/ 1 x) 1))) (* x (- 1 (/ 1 x))))))
(+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 x (+.f64 #s(literal -1 binary64) (*.f64 y (-.f64 #s(literal 1 binary64) x))))))
(+ 1 (* y (+ (* x (- 1 (/ 1 x))) (* y (+ (* x (* y (- 1 (/ 1 x)))) (* x (- (/ 1 x) 1)))))))
(+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 (+.f64 x #s(literal -1 binary64)) (*.f64 y (+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 x #s(literal -1 binary64))))))))
x
(+ x (/ (* x (- (/ 1 x) 1)) y))
(-.f64 x (/.f64 (+.f64 x #s(literal -1 binary64)) y))
(+ x (+ (/ (* x (- 1 (/ 1 x))) (pow y 2)) (/ (* x (- (/ 1 x) 1)) y)))
(+.f64 x (/.f64 (+.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (+.f64 x #s(literal -1 binary64)) y)) y))
(+ x (+ (/ (* x (- 1 (/ 1 x))) (pow y 2)) (+ (/ (* x (- (/ 1 x) 1)) y) (/ (* x (- (/ 1 x) 1)) (pow y 3)))))
(+.f64 (/.f64 (+.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (+.f64 x #s(literal -1 binary64)) y)) y) (+.f64 x (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (*.f64 y y))))
x
(+ x (* -1 (/ (* x (- 1 (/ 1 x))) y)))
(-.f64 x (/.f64 (+.f64 x #s(literal -1 binary64)) y))
(+ x (* -1 (/ (+ (* -1 (/ (* x (- 1 (/ 1 x))) y)) (* x (- 1 (/ 1 x)))) y)))
(+.f64 x (/.f64 (+.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (+.f64 x #s(literal -1 binary64)) y)) y))
(+ x (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* x (- 1 (/ 1 x))) y)) (* x (- 1 (/ 1 x)))) y)) (* x (- 1 (/ 1 x)))) y)))
(+.f64 x (/.f64 (-.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (+.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (+.f64 x #s(literal -1 binary64)) y)) y)) y))
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(+ (* y (- 1 (/ 1 x))) (/ 1 x))
(+.f64 y (/.f64 (-.f64 #s(literal 1 binary64) y) x))
(+ (* y (- (+ 1 (* y (- (/ 1 x) 1))) (/ 1 x))) (/ 1 x))
(+.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 (+.f64 y #s(literal -1 binary64)) x) y))))
(+ (* y (- (+ 1 (* y (- (+ (* y (- 1 (/ 1 x))) (/ 1 x)) 1))) (/ 1 x))) (/ 1 x))
(+.f64 (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal -1 binary64) (+.f64 y (/.f64 (-.f64 #s(literal 1 binary64) y) x)))))) (/.f64 (-.f64 #s(literal 1 binary64) y) x))
1
#s(literal 1 binary64)
(- (+ 1 (/ 1 (* x y))) (/ 1 y))
(-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) y))
(- (+ 1 (+ (/ 1 (* x y)) (/ 1 (pow y 2)))) (+ (/ 1 y) (/ 1 (* x (pow y 2)))))
(+.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) y)) (+.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) y) y) (/.f64 #s(literal -1 binary64) y)))
(- (+ 1 (+ (/ 1 (* x y)) (+ (/ 1 (* x (pow y 3))) (/ 1 (pow y 2))))) (+ (/ 1 y) (+ (/ 1 (* x (pow y 2))) (/ 1 (pow y 3)))))
(+.f64 (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) y)) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y) (*.f64 y y))) (-.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) y)) y) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y) y)))
1
#s(literal 1 binary64)
(+ 1 (* -1 (/ (- 1 (/ 1 x)) y)))
(-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) y))
(+ 1 (* -1 (/ (- (+ 1 (* -1 (/ (- 1 (/ 1 x)) y))) (/ 1 x)) y)))
(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x)) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) y)) y))
(+ 1 (* -1 (/ (- (+ 1 (* -1 (/ (- (+ 1 (* -1 (/ (- 1 (/ 1 x)) y))) (/ 1 x)) y))) (/ 1 x)) y)))
(-.f64 #s(literal 1 binary64) (/.f64 (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) (/.f64 (-.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x)) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) y)) y)) y))
(/ (+ 1 (+ (* -2 (/ y (+ 1 y))) (/ y (+ 1 y)))) x)
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y (+.f64 #s(literal 1 binary64) y))) x)
(/ (+ 1 (+ (* -2 (/ y (+ 1 y))) (+ (/ y (+ 1 y)) (/ (* x y) (+ 1 y))))) x)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (+.f64 x #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) y))) x)
(/ (+ 1 (+ (* -2 (/ y (+ 1 y))) (+ (/ y (+ 1 y)) (/ (* x y) (+ 1 y))))) x)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (+.f64 x #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) y))) x)
(/ (+ 1 (+ (* -2 (/ y (+ 1 y))) (+ (/ y (+ 1 y)) (/ (* x y) (+ 1 y))))) x)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (+.f64 x #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) y))) x)
(/ y (+ 1 y))
(/.f64 y (+.f64 #s(literal 1 binary64) y))
(+ (* -2 (/ y (* x (+ 1 y)))) (+ (/ 1 x) (+ (/ y (* x (+ 1 y))) (/ y (+ 1 y)))))
(+.f64 (+.f64 (/.f64 y (*.f64 (+.f64 #s(literal 1 binary64) y) x)) (/.f64 #s(literal 1 binary64) x)) (*.f64 (+.f64 (/.f64 #s(literal -2 binary64) x) #s(literal 1 binary64)) (/.f64 y (+.f64 #s(literal 1 binary64) y))))
(+ (* -2 (/ y (* x (+ 1 y)))) (+ (/ 1 x) (+ (/ y (* x (+ 1 y))) (/ y (+ 1 y)))))
(+.f64 (+.f64 (/.f64 y (*.f64 (+.f64 #s(literal 1 binary64) y) x)) (/.f64 #s(literal 1 binary64) x)) (*.f64 (+.f64 (/.f64 #s(literal -2 binary64) x) #s(literal 1 binary64)) (/.f64 y (+.f64 #s(literal 1 binary64) y))))
(+ (* -2 (/ y (* x (+ 1 y)))) (+ (/ 1 x) (+ (/ y (* x (+ 1 y))) (/ y (+ 1 y)))))
(+.f64 (+.f64 (/.f64 y (*.f64 (+.f64 #s(literal 1 binary64) y) x)) (/.f64 #s(literal 1 binary64) x)) (*.f64 (+.f64 (/.f64 #s(literal -2 binary64) x) #s(literal 1 binary64)) (/.f64 y (+.f64 #s(literal 1 binary64) y))))
(/ y (+ 1 y))
(/.f64 y (+.f64 #s(literal 1 binary64) y))
(+ (* -2 (/ y (* x (+ 1 y)))) (+ (/ 1 x) (+ (/ y (* x (+ 1 y))) (/ y (+ 1 y)))))
(+.f64 (+.f64 (/.f64 y (*.f64 (+.f64 #s(literal 1 binary64) y) x)) (/.f64 #s(literal 1 binary64) x)) (*.f64 (+.f64 (/.f64 #s(literal -2 binary64) x) #s(literal 1 binary64)) (/.f64 y (+.f64 #s(literal 1 binary64) y))))
(+ (* -2 (/ y (* x (+ 1 y)))) (+ (/ 1 x) (+ (/ y (* x (+ 1 y))) (/ y (+ 1 y)))))
(+.f64 (+.f64 (/.f64 y (*.f64 (+.f64 #s(literal 1 binary64) y) x)) (/.f64 #s(literal 1 binary64) x)) (*.f64 (+.f64 (/.f64 #s(literal -2 binary64) x) #s(literal 1 binary64)) (/.f64 y (+.f64 #s(literal 1 binary64) y))))
(+ (* -2 (/ y (* x (+ 1 y)))) (+ (/ 1 x) (+ (/ y (* x (+ 1 y))) (/ y (+ 1 y)))))
(+.f64 (+.f64 (/.f64 y (*.f64 (+.f64 #s(literal 1 binary64) y) x)) (/.f64 #s(literal 1 binary64) x)) (*.f64 (+.f64 (/.f64 #s(literal -2 binary64) x) #s(literal 1 binary64)) (/.f64 y (+.f64 #s(literal 1 binary64) y))))
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(+ (* -1 (/ y x)) (/ 1 x))
(/.f64 (-.f64 #s(literal 1 binary64) y) x)
(+ (* y (- (/ y x) (/ 1 x))) (/ 1 x))
(+.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (/.f64 y x) (+.f64 y #s(literal -1 binary64))))
(+ (* y (- (* y (+ (* -1 (/ y x)) (/ 1 x))) (/ 1 x))) (/ 1 x))
(+.f64 (*.f64 y (/.f64 (*.f64 y (-.f64 #s(literal 1 binary64) y)) x)) (/.f64 (-.f64 #s(literal 1 binary64) y) x))
(/ 1 (* x y))
(/.f64 (/.f64 #s(literal 1 binary64) x) y)
(/ (- (/ 1 x) (/ 1 (* x y))) y)
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (/.f64 #s(literal -1 binary64) x) y)) y)
(/ (- (+ (/ 1 x) (/ 1 (* x (pow y 2)))) (/ 1 (* x y))) y)
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y) (/.f64 #s(literal -1 binary64) x)) y)) y)
(/ (- (+ (/ 1 x) (/ 1 (* x (pow y 2)))) (+ (/ 1 (* x y)) (/ 1 (* x (pow y 3))))) y)
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (/.f64 #s(literal -1 binary64) x) y)) y) (/.f64 #s(literal -1 binary64) x)) y)) y)
(/ 1 (* x y))
(/.f64 (/.f64 #s(literal 1 binary64) x) y)
(* -1 (/ (- (/ 1 (* x y)) (/ 1 x)) y))
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (/.f64 #s(literal -1 binary64) x) y)) y)
(* -1 (/ (- (* -1 (/ (- (/ 1 (* x y)) (/ 1 x)) y)) (/ 1 x)) y))
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y) (/.f64 #s(literal -1 binary64) x)) y)) y)
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 (* x y)) (/ 1 x)) y)) (/ 1 x)) y)) (/ 1 x)) y))
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (/.f64 #s(literal -1 binary64) x) y)) y) (/.f64 #s(literal -1 binary64) x)) y)) y)
(/ (+ 1 (+ (* -2 (/ y (+ 1 y))) (/ y (+ 1 y)))) x)
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y (+.f64 #s(literal 1 binary64) y))) x)
(/ (+ 1 (+ (* -2 (/ y (+ 1 y))) (/ y (+ 1 y)))) x)
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y (+.f64 #s(literal 1 binary64) y))) x)
(/ (+ 1 (+ (* -2 (/ y (+ 1 y))) (/ y (+ 1 y)))) x)
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y (+.f64 #s(literal 1 binary64) y))) x)
(/ (+ 1 (+ (* -2 (/ y (+ 1 y))) (/ y (+ 1 y)))) x)
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y (+.f64 #s(literal 1 binary64) y))) x)
(/ (+ 1 (+ (* -2 (/ y (+ 1 y))) (/ y (+ 1 y)))) x)
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y (+.f64 #s(literal 1 binary64) y))) x)
(/ (+ 1 (+ (* -2 (/ y (+ 1 y))) (/ y (+ 1 y)))) x)
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y (+.f64 #s(literal 1 binary64) y))) x)
(/ (+ 1 (+ (* -2 (/ y (+ 1 y))) (/ y (+ 1 y)))) x)
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y (+.f64 #s(literal 1 binary64) y))) x)
(/ (+ 1 (+ (* -2 (/ y (+ 1 y))) (/ y (+ 1 y)))) x)
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y (+.f64 #s(literal 1 binary64) y))) x)
(/ (+ 1 (+ (* -2 (/ y (+ 1 y))) (/ y (+ 1 y)))) x)
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y (+.f64 #s(literal 1 binary64) y))) x)
(/ (+ 1 (+ (* -2 (/ y (+ 1 y))) (/ y (+ 1 y)))) x)
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y (+.f64 #s(literal 1 binary64) y))) x)
(/ (+ 1 (+ (* -2 (/ y (+ 1 y))) (/ y (+ 1 y)))) x)
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y (+.f64 #s(literal 1 binary64) y))) x)
(/ (+ 1 (+ (* -2 (/ y (+ 1 y))) (/ y (+ 1 y)))) x)
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y (+.f64 #s(literal 1 binary64) y))) x)
1
#s(literal 1 binary64)
(+ 1 (* -1 y))
(-.f64 #s(literal 1 binary64) y)
(+ 1 (* y (- y 1)))
(+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 y #s(literal -1 binary64))))
(+ 1 (* y (- (* y (+ 1 (* -1 y))) 1)))
(+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal -1 binary64) (*.f64 y (-.f64 #s(literal 1 binary64) y)))))
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ (- 1 (/ 1 y)) y)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) y)
(/ (- (+ 1 (/ 1 (pow y 2))) (/ 1 y)) y)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) y)) y)) y)
(/ (- (+ 1 (/ 1 (pow y 2))) (+ (/ 1 y) (/ 1 (pow y 3)))) y)
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) y)) y)) y)) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(* -1 (/ (- (/ 1 y) 1) y))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) y)
(* -1 (/ (- (* -1 (/ (- (/ 1 y) 1) y)) 1) y))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) y)) y)) y)
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 y) 1) y)) 1) y)) 1) y))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) y)) y)) y)) y)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(+ x (/ 1 y))
(+.f64 x (/.f64 #s(literal 1 binary64) y))
(+ x (/ 1 y))
(+.f64 x (/.f64 #s(literal 1 binary64) y))
(+ x (/ 1 y))
(+.f64 x (/.f64 #s(literal 1 binary64) y))
x
(* x (+ 1 (/ 1 (* x y))))
(+.f64 x (/.f64 #s(literal 1 binary64) y))
(* x (+ 1 (/ 1 (* x y))))
(+.f64 x (/.f64 #s(literal 1 binary64) y))
(* x (+ 1 (/ 1 (* x y))))
(+.f64 x (/.f64 #s(literal 1 binary64) y))
x
(* x (+ 1 (/ 1 (* x y))))
(+.f64 x (/.f64 #s(literal 1 binary64) y))
(* x (+ 1 (/ 1 (* x y))))
(+.f64 x (/.f64 #s(literal 1 binary64) y))
(* x (+ 1 (/ 1 (* x y))))
(+.f64 x (/.f64 #s(literal 1 binary64) y))
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ (+ 1 (* x y)) y)
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 y x)) y)
(/ (+ 1 (* x y)) y)
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 y x)) y)
(/ (+ 1 (* x y)) y)
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 y x)) y)
x
(+ x (/ 1 y))
(+.f64 x (/.f64 #s(literal 1 binary64) y))
(+ x (/ 1 y))
(+.f64 x (/.f64 #s(literal 1 binary64) y))
(+ x (/ 1 y))
(+.f64 x (/.f64 #s(literal 1 binary64) y))
x
(+ x (/ 1 y))
(+.f64 x (/.f64 #s(literal 1 binary64) y))
(+ x (/ 1 y))
(+.f64 x (/.f64 #s(literal 1 binary64) y))
(+ x (/ 1 y))
(+.f64 x (/.f64 #s(literal 1 binary64) y))
(/ -1 y)
(/.f64 #s(literal -1 binary64) y)
(/ -1 y)
(/.f64 #s(literal -1 binary64) y)
(/ -1 y)
(/.f64 #s(literal -1 binary64) y)
(/ -1 y)
(/.f64 #s(literal -1 binary64) y)
(/ -1 y)
(/.f64 #s(literal -1 binary64) y)
(/ -1 y)
(/.f64 #s(literal -1 binary64) y)
(/ -1 y)
(/.f64 #s(literal -1 binary64) y)
(/ -1 y)
(/.f64 #s(literal -1 binary64) y)
(/ -1 y)
(/.f64 #s(literal -1 binary64) y)
(/ -1 y)
(/.f64 #s(literal -1 binary64) y)
(/ -1 y)
(/.f64 #s(literal -1 binary64) y)
(/ -1 y)
(/.f64 #s(literal -1 binary64) y)
1
#s(literal 1 binary64)
(+ 1 (* y (- x 1)))
(+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 x #s(literal -1 binary64))))
(+ 1 (* y (- x 1)))
(+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 x #s(literal -1 binary64))))
(+ 1 (* y (- x 1)))
(+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 x #s(literal -1 binary64))))
(* y (- x 1))
(*.f64 y (+.f64 x #s(literal -1 binary64)))
(* y (- (+ x (/ 1 y)) 1))
(+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 x #s(literal -1 binary64))))
(* y (- (+ x (/ 1 y)) 1))
(+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 x #s(literal -1 binary64))))
(* y (- (+ x (/ 1 y)) 1))
(+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 x #s(literal -1 binary64))))
(* -1 (* y (- 1 x)))
(*.f64 y (+.f64 x #s(literal -1 binary64)))
(* y (+ (* -1 (- 1 x)) (/ 1 y)))
(+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 x #s(literal -1 binary64))))
(* y (+ (* -1 (- 1 x)) (/ 1 y)))
(+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 x #s(literal -1 binary64))))
(* y (+ (* -1 (- 1 x)) (/ 1 y)))
(+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 x #s(literal -1 binary64))))
(- 1 y)
(-.f64 #s(literal 1 binary64) y)
(- (+ 1 (* x y)) y)
(+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 x #s(literal -1 binary64))))
(- (+ 1 (* x y)) y)
(+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 x #s(literal -1 binary64))))
(- (+ 1 (* x y)) y)
(+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 x #s(literal -1 binary64))))
(* x y)
(*.f64 y x)
(* x (- (/ 1 x) (+ (* -1 y) (/ y x))))
(+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 x #s(literal -1 binary64))))
(* x (- (/ 1 x) (+ (* -1 y) (/ y x))))
(+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 x #s(literal -1 binary64))))
(* x (- (/ 1 x) (+ (* -1 y) (/ y x))))
(+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 x #s(literal -1 binary64))))
(* x y)
(*.f64 y x)
(* -1 (* x (- (* -1 (/ (- 1 y) x)) y)))
(+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 x #s(literal -1 binary64))))
(* -1 (* x (- (* -1 (/ (- 1 y) x)) y)))
(+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 x #s(literal -1 binary64))))
(* -1 (* x (- (* -1 (/ (- 1 y) x)) y)))
(+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 x #s(literal -1 binary64))))
(* y (- 1 x))
(*.f64 y (-.f64 #s(literal 1 binary64) x))
(* y (- 1 x))
(*.f64 y (-.f64 #s(literal 1 binary64) x))
(* y (- 1 x))
(*.f64 y (-.f64 #s(literal 1 binary64) x))
(* y (- 1 x))
(*.f64 y (-.f64 #s(literal 1 binary64) x))
(* y (- 1 x))
(*.f64 y (-.f64 #s(literal 1 binary64) x))
(* y (- 1 x))
(*.f64 y (-.f64 #s(literal 1 binary64) x))
(* y (- 1 x))
(*.f64 y (-.f64 #s(literal 1 binary64) x))
(* y (- 1 x))
(*.f64 y (-.f64 #s(literal 1 binary64) x))
(* y (- 1 x))
(*.f64 y (-.f64 #s(literal 1 binary64) x))
(* y (- 1 x))
(*.f64 y (-.f64 #s(literal 1 binary64) x))
(* y (- 1 x))
(*.f64 y (-.f64 #s(literal 1 binary64) x))
(* y (- 1 x))
(*.f64 y (-.f64 #s(literal 1 binary64) x))
y
(+ y (* -1 (* x y)))
(*.f64 y (-.f64 #s(literal 1 binary64) x))
(+ y (* -1 (* x y)))
(*.f64 y (-.f64 #s(literal 1 binary64) x))
(+ y (* -1 (* x y)))
(*.f64 y (-.f64 #s(literal 1 binary64) x))
(* -1 (* x y))
(*.f64 y (-.f64 #s(literal 0 binary64) x))
(* x (+ (* -1 y) (/ y x)))
(*.f64 y (-.f64 #s(literal 1 binary64) x))
(* x (+ (* -1 y) (/ y x)))
(*.f64 y (-.f64 #s(literal 1 binary64) x))
(* x (+ (* -1 y) (/ y x)))
(*.f64 y (-.f64 #s(literal 1 binary64) x))
(* -1 (* x y))
(*.f64 y (-.f64 #s(literal 0 binary64) x))
(* -1 (* x (+ y (* -1 (/ y x)))))
(*.f64 y (-.f64 #s(literal 1 binary64) x))
(* -1 (* x (+ y (* -1 (/ y x)))))
(*.f64 y (-.f64 #s(literal 1 binary64) x))
(* -1 (* x (+ y (* -1 (/ y x)))))
(*.f64 y (-.f64 #s(literal 1 binary64) x))
1
#s(literal 1 binary64)
(+ 1 (* -1 x))
(-.f64 #s(literal 1 binary64) x)
(+ 1 (* -1 x))
(-.f64 #s(literal 1 binary64) x)
(+ 1 (* -1 x))
(-.f64 #s(literal 1 binary64) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* x (- (/ 1 x) 1))
(-.f64 #s(literal 1 binary64) x)
(* x (- (/ 1 x) 1))
(-.f64 #s(literal 1 binary64) x)
(* x (- (/ 1 x) 1))
(-.f64 #s(literal 1 binary64) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* -1 (* x (- 1 (/ 1 x))))
(-.f64 #s(literal 1 binary64) x)
(* -1 (* x (- 1 (/ 1 x))))
(-.f64 #s(literal 1 binary64) x)
(* -1 (* x (- 1 (/ 1 x))))
(-.f64 #s(literal 1 binary64) x)
y
(* y (+ 1 (* -1 y)))
(*.f64 y (-.f64 #s(literal 1 binary64) y))
(* y (+ 1 (* y (- y 1))))
(*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 y #s(literal -1 binary64)))))
(* y (+ 1 (* y (- (* y (+ 1 (* -1 y))) 1))))
(*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal -1 binary64) (*.f64 y (-.f64 #s(literal 1 binary64) y))))))
1
#s(literal 1 binary64)
(- 1 (/ 1 y))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y))
(- (+ 1 (/ 1 (pow y 2))) (/ 1 y))
(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) y)) y))
(- (+ 1 (/ 1 (pow y 2))) (+ (/ 1 y) (/ 1 (pow y 3))))
(-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) y)) y)) y))
1
#s(literal 1 binary64)
(- 1 (/ 1 y))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y))
(+ 1 (* -1 (/ (- 1 (/ 1 y)) y)))
(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) y)) y))
(+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 y)) y))) y)))
(-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) y)) y)) y))

eval85.0ms (1%)

Compiler

Compiled 17665 to 2001 computations (88.7% saved)

prune84.0ms (1%)

Pruning

12 alts after pruning (3 fresh and 9 done)

PrunedKeptTotal
New7011702
Fresh022
Picked145
Done055
Total70212714
Accuracy
100.0%
Counts
714 → 12
Alt Table
Click to see full alt table
StatusAccuracyProgram
12.7%
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) y)
49.2%
(/.f64 x (/.f64 (+.f64 #s(literal 1 binary64) y) y))
✓13.5%
(/.f64 #s(literal 1 binary64) y)
✓36.9%
(-.f64 x (/.f64 x y))
✓47.8%
(-.f64 x (/.f64 #s(literal -1 binary64) y))
✓42.2%
(-.f64 #s(literal 1 binary64) (/.f64 y (+.f64 y #s(literal 1 binary64))))
✓54.7%
(-.f64 #s(literal 1 binary64) (*.f64 y (-.f64 #s(literal 1 binary64) x)))
✓41.7%
(-.f64 #s(literal 1 binary64) y)
✓15.6%
(*.f64 y x)
54.5%
(*.f64 x (+.f64 y (/.f64 (-.f64 #s(literal 1 binary64) y) x)))
✓36.9%
x
✓42.0%
#s(literal 1 binary64)
Compiler

Compiled 306 to 116 computations (62.1% saved)

regimes41.0ms (0.5%)

Counts
22 → 3
Calls
Call 1
Inputs
#s(literal 1 binary64)
x
(*.f64 y x)
(-.f64 #s(literal 1 binary64) y)
(/.f64 #s(literal 1 binary64) y)
(-.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x))
(-.f64 x (/.f64 #s(literal -1 binary64) y))
(-.f64 x (/.f64 x y))
(-.f64 #s(literal 1 binary64) (*.f64 y (-.f64 #s(literal 1 binary64) x)))
(-.f64 #s(literal 1 binary64) (/.f64 y (+.f64 y #s(literal 1 binary64))))
(-.f64 x (/.f64 (+.f64 x #s(literal -1 binary64)) y))
(/.f64 x (/.f64 (+.f64 #s(literal 1 binary64) y) y))
(/.f64 (*.f64 y x) (+.f64 #s(literal 1 binary64) y))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) y)
(*.f64 x (+.f64 y (/.f64 (-.f64 #s(literal 1 binary64) y) x)))
(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64))))
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (+.f64 #s(literal 1 binary64) y) y)))
(-.f64 x (*.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) y) (+.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 1 binary64))))
(-.f64 x (/.f64 (-.f64 (+.f64 x #s(literal -1 binary64)) (*.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) y) (+.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 1 binary64)))) y))
(*.f64 x (+.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) (/.f64 (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 y (+.f64 #s(literal 1 binary64) y))) (*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) #s(literal -2 binary64))) x)))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (/.f64 (-.f64 #s(literal -1 binary64) y) (/.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (+.f64 #s(literal 1 binary64) y) y))))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (+.f64 #s(literal 1 binary64) y) y))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (+.f64 #s(literal 1 binary64) y) y)) (-.f64 #s(literal 1 binary64) x)) (/.f64 y (+.f64 #s(literal 1 binary64) y)))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (+.f64 #s(literal 1 binary64) y) y))))
Outputs
(-.f64 x (/.f64 (-.f64 (+.f64 x #s(literal -1 binary64)) (*.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) y) (+.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 1 binary64)))) y))
(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64))))
(-.f64 x (*.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) y) (+.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 1 binary64))))
Calls

5 calls:

10.0ms
(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64))))
8.0ms
y
8.0ms
(-.f64 #s(literal 1 binary64) x)
7.0ms
x
6.0ms
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64)))
Results
AccuracySegmentsBranch
88.9%1x
100.0%3y
100.0%3(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64))))
100.0%3(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64)))
88.9%1(-.f64 #s(literal 1 binary64) x)
Compiler

Compiled 35 to 23 computations (34.3% saved)

regimes9.0ms (0.1%)

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

1 calls:

7.0ms
y
Results
AccuracySegmentsBranch
100.0%3y
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes18.0ms (0.2%)

Counts
17 → 3
Calls
Call 1
Inputs
#s(literal 1 binary64)
x
(*.f64 y x)
(-.f64 #s(literal 1 binary64) y)
(/.f64 #s(literal 1 binary64) y)
(-.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x))
(-.f64 x (/.f64 #s(literal -1 binary64) y))
(-.f64 x (/.f64 x y))
(-.f64 #s(literal 1 binary64) (*.f64 y (-.f64 #s(literal 1 binary64) x)))
(-.f64 #s(literal 1 binary64) (/.f64 y (+.f64 y #s(literal 1 binary64))))
(-.f64 x (/.f64 (+.f64 x #s(literal -1 binary64)) y))
(/.f64 x (/.f64 (+.f64 #s(literal 1 binary64) y) y))
(/.f64 (*.f64 y x) (+.f64 #s(literal 1 binary64) y))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) y)
(*.f64 x (+.f64 y (/.f64 (-.f64 #s(literal 1 binary64) y) x)))
(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64))))
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (+.f64 #s(literal 1 binary64) y) y)))
Outputs
(-.f64 x (/.f64 #s(literal -1 binary64) y))
(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64))))
(-.f64 x (/.f64 (+.f64 x #s(literal -1 binary64)) y))
Calls

3 calls:

6.0ms
(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64))))
5.0ms
y
5.0ms
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64)))
Results
AccuracySegmentsBranch
99.8%3(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64))))
99.8%3(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64)))
99.9%3y
Compiler

Compiled 27 to 17 computations (37% saved)

regimes6.0ms (0.1%)

Counts
15 → 3
Calls
Call 1
Inputs
#s(literal 1 binary64)
x
(*.f64 y x)
(-.f64 #s(literal 1 binary64) y)
(/.f64 #s(literal 1 binary64) y)
(-.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x))
(-.f64 x (/.f64 #s(literal -1 binary64) y))
(-.f64 x (/.f64 x y))
(-.f64 #s(literal 1 binary64) (*.f64 y (-.f64 #s(literal 1 binary64) x)))
(-.f64 #s(literal 1 binary64) (/.f64 y (+.f64 y #s(literal 1 binary64))))
(-.f64 x (/.f64 (+.f64 x #s(literal -1 binary64)) y))
(/.f64 x (/.f64 (+.f64 #s(literal 1 binary64) y) y))
(/.f64 (*.f64 y x) (+.f64 #s(literal 1 binary64) y))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) y)
(*.f64 x (+.f64 y (/.f64 (-.f64 #s(literal 1 binary64) y) x)))
Outputs
(-.f64 x (/.f64 #s(literal -1 binary64) y))
(-.f64 #s(literal 1 binary64) (*.f64 y (-.f64 #s(literal 1 binary64) x)))
(-.f64 x (/.f64 (+.f64 x #s(literal -1 binary64)) y))
Calls

1 calls:

5.0ms
y
Results
AccuracySegmentsBranch
99.7%3y
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes10.0ms (0.1%)

Counts
10 → 3
Calls
Call 1
Inputs
#s(literal 1 binary64)
x
(*.f64 y x)
(-.f64 #s(literal 1 binary64) y)
(/.f64 #s(literal 1 binary64) y)
(-.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x))
(-.f64 x (/.f64 #s(literal -1 binary64) y))
(-.f64 x (/.f64 x y))
(-.f64 #s(literal 1 binary64) (*.f64 y (-.f64 #s(literal 1 binary64) x)))
(-.f64 #s(literal 1 binary64) (/.f64 y (+.f64 y #s(literal 1 binary64))))
Outputs
(-.f64 x (/.f64 #s(literal -1 binary64) y))
(-.f64 #s(literal 1 binary64) (*.f64 y (-.f64 #s(literal 1 binary64) x)))
(-.f64 x (/.f64 #s(literal -1 binary64) y))
Calls

1 calls:

9.0ms
y
Results
AccuracySegmentsBranch
99.5%3y
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes11.0ms (0.1%)

Counts
8 → 3
Calls
Call 1
Inputs
#s(literal 1 binary64)
x
(*.f64 y x)
(-.f64 #s(literal 1 binary64) y)
(/.f64 #s(literal 1 binary64) y)
(-.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x))
(-.f64 x (/.f64 #s(literal -1 binary64) y))
(-.f64 x (/.f64 x y))
Outputs
(-.f64 x (/.f64 #s(literal -1 binary64) y))
(-.f64 #s(literal 1 binary64) y)
(-.f64 x (/.f64 #s(literal -1 binary64) y))
Calls

3 calls:

4.0ms
(-.f64 #s(literal 1 binary64) x)
3.0ms
x
3.0ms
y
Results
AccuracySegmentsBranch
56.9%3(-.f64 #s(literal 1 binary64) x)
58.0%3x
86.5%3y
Compiler

Compiled 11 to 8 computations (27.3% saved)

regimes3.0ms (0%)

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

1 calls:

3.0ms
y
Results
AccuracySegmentsBranch
75.5%3y
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes2.0ms (0%)

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

1 calls:

2.0ms
y
Results
AccuracySegmentsBranch
75.2%3y
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes3.0ms (0%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts
1 → 1
Calls
Call 1
Inputs
#s(literal 1 binary64)
Outputs
#s(literal 1 binary64)
Calls

2 calls:

1.0ms
x
1.0ms
y
Results
AccuracySegmentsBranch
42.0%1x
42.0%1y
Compiler

Compiled 6 to 4 computations (33.3% saved)

bsearch48.0ms (0.6%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
15.0ms
69864.69807878941
34292143348773.453
16.0ms
-3298117709.0384674
-1.193854885095613e-9
Results
17.0ms295×0valid
3.0ms9×1valid
Compiler

Compiled 648 to 412 computations (36.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 10.0ms
ival-sub: 3.0ms (29.7% of total)
ival-div: 2.0ms (19.8% of total)
ival-mult: 2.0ms (19.8% of total)
ival-add: 1.0ms (9.9% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch39.0ms (0.5%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
18.0ms
69864.69807878941
34292143348773.453
18.0ms
-3298117709.0384674
-1.193854885095613e-9
Results
22.0ms296×0valid
1.0ms8×1valid
Compiler

Compiled 588 to 392 computations (33.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 15.0ms
ival-sub: 8.0ms (53.6% of total)
ival-div: 2.0ms (13.4% of total)
ival-mult: 2.0ms (13.4% of total)
ival-add: 1.0ms (6.7% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch49.0ms (0.6%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
17.0ms
69864.69807878941
34292143348773.453
28.0ms
-3298117709.0384674
-1.193854885095613e-9
Results
24.0ms120×1valid
12.0ms184×0valid
Compiler

Compiled 454 to 306 computations (32.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 25.0ms
ival-sub: 14.0ms (57% of total)
ival-mult: 4.0ms (16.3% of total)
ival-div: 3.0ms (12.2% of total)
ival-add: 2.0ms (8.1% of total)
backward-pass: 2.0ms (8.1% of total)
const: 0.0ms (0% of total)

bsearch35.0ms (0.4%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
16.0ms
9.155870351360764e-8
69864.69807878941
16.0ms
-3298117709.0384674
-1.193854885095613e-9
Results
21.0ms320×0valid
Compiler

Compiled 398 to 282 computations (29.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 11.0ms
ival-sub: 4.0ms (36.6% of total)
ival-mult: 3.0ms (27.4% of total)
ival-div: 2.0ms (18.3% of total)
ival-add: 1.0ms (9.1% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch34.0ms (0.4%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
15.0ms
9.155870351360764e-8
69864.69807878941
15.0ms
-3298117709.0384674
-1.193854885095613e-9
Results
20.0ms320×0valid
Compiler

Compiled 378 to 272 computations (28% saved)

Precisions
Click to see histograms. Total time spent on operations: 11.0ms
ival-sub: 3.0ms (28.2% of total)
ival-mult: 3.0ms (28.2% of total)
ival-div: 2.0ms (18.8% of total)
ival-add: 1.0ms (9.4% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch34.0ms (0.4%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
16.0ms
9.155870351360764e-8
69864.69807878941
15.0ms
-3298117709.0384674
-1.193854885095613e-9
Results
21.0ms320×0valid
Compiler

Compiled 298 to 232 computations (22.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 13.0ms
ival-div: 3.0ms (23.9% of total)
ival-sub: 3.0ms (23.9% of total)
ival-add: 3.0ms (23.9% of total)
ival-mult: 2.0ms (16% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch33.0ms (0.4%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
15.0ms
9.155870351360764e-8
69864.69807878941
15.0ms
-3298117709.0384674
-1.193854885095613e-9
Results
20.0ms320×0valid
Compiler

Compiled 218 to 172 computations (21.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 11.0ms
ival-sub: 3.0ms (28% of total)
ival-div: 2.0ms (18.7% of total)
ival-add: 2.0ms (18.7% of total)
ival-mult: 2.0ms (18.7% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch37.0ms (0.4%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
15.0ms
9.155870351360764e-8
69864.69807878941
19.0ms
-3298117709.0384674
-1.193854885095613e-9
Results
22.0ms320×0valid
Compiler

Compiled 178 to 152 computations (14.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 10.0ms
ival-sub: 3.0ms (29.7% of total)
ival-div: 2.0ms (19.8% of total)
ival-mult: 2.0ms (19.8% of total)
ival-add: 1.0ms (9.9% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

simplify32.0ms (0.4%)

Algorithm
1×egg-herbie
Rules
192×unsub-neg_binary64
156×distribute-lft-neg-in_binary64
104×neg-mul-1_binary64
98×distribute-neg-in_binary64
94×cancel-sign-sub-inv_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
061205
1106205
2154205
3195205
4253205
5352205
6460205
7543205
8620205
9665205
10686205
11692205
Stop Event
1×saturated
Calls
Call 1
Inputs
(if (<=.f64 y #s(literal -10000 binary64)) (-.f64 x (/.f64 (-.f64 (+.f64 x #s(literal -1 binary64)) (*.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) y) (+.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 1 binary64)))) y)) (if (<=.f64 y #s(literal 240000 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64)))) (-.f64 x (*.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) y) (+.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 1 binary64))))))
(if (<=.f64 y #s(literal -110000 binary64)) (-.f64 x (*.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) y) (+.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 1 binary64)))) (if (<=.f64 y #s(literal 160000 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64)))) (-.f64 x (*.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) y) (+.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 1 binary64))))))
(if (<=.f64 y #s(literal -3200000000 binary64)) (-.f64 x (/.f64 #s(literal -1 binary64) y)) (if (<=.f64 y #s(literal 160000000 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64)))) (-.f64 x (/.f64 (+.f64 x #s(literal -1 binary64)) y))))
(if (<=.f64 y #s(literal -1 binary64)) (-.f64 x (/.f64 #s(literal -1 binary64) y)) (if (<=.f64 y #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 y (-.f64 #s(literal 1 binary64) x))) (-.f64 x (/.f64 (+.f64 x #s(literal -1 binary64)) y))))
(if (<=.f64 y #s(literal -1 binary64)) (-.f64 x (/.f64 #s(literal -1 binary64) y)) (if (<=.f64 y #s(literal 3512807709348987/4503599627370496 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 y (-.f64 #s(literal 1 binary64) x))) (-.f64 x (/.f64 #s(literal -1 binary64) y))))
(if (<=.f64 y #s(literal -1 binary64)) (-.f64 x (/.f64 #s(literal -1 binary64) y)) (if (<=.f64 y #s(literal 5620492334958379/72057594037927936 binary64)) (-.f64 #s(literal 1 binary64) y) (-.f64 x (/.f64 #s(literal -1 binary64) y))))
(if (<=.f64 y #s(literal -1 binary64)) x (if (<=.f64 y #s(literal 5764607523034235/72057594037927936 binary64)) (-.f64 #s(literal 1 binary64) y) x))
(if (<=.f64 y #s(literal -1 binary64)) x (if (<=.f64 y #s(literal 4165829655317709/2251799813685248 binary64)) #s(literal 1 binary64) x))
#s(literal 1 binary64)
Outputs
(if (<=.f64 y #s(literal -10000 binary64)) (-.f64 x (/.f64 (-.f64 (+.f64 x #s(literal -1 binary64)) (*.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) y) (+.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 1 binary64)))) y)) (if (<=.f64 y #s(literal 240000 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64)))) (-.f64 x (*.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) y) (+.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 1 binary64))))))
(if (<=.f64 y #s(literal -10000 binary64)) (+.f64 x (/.f64 (+.f64 (*.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) y) (+.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) x)) y)) (if (<=.f64 y #s(literal 240000 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (-.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal -1 binary64) y))) (+.f64 x (*.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) y) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) y))))))
(if (<=.f64 y #s(literal -110000 binary64)) (-.f64 x (*.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) y) (+.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 1 binary64)))) (if (<=.f64 y #s(literal 160000 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64)))) (-.f64 x (*.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) y) (+.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 1 binary64))))))
(if (<=.f64 y #s(literal -110000 binary64)) (+.f64 x (*.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) y) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) y)))) (if (<=.f64 y #s(literal 160000 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (-.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal -1 binary64) y))) (+.f64 x (*.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) y) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) y))))))
(if (<=.f64 y #s(literal -3200000000 binary64)) (-.f64 x (/.f64 #s(literal -1 binary64) y)) (if (<=.f64 y #s(literal 160000000 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64)))) (-.f64 x (/.f64 (+.f64 x #s(literal -1 binary64)) y))))
(if (<=.f64 y #s(literal -3200000000 binary64)) (-.f64 x (/.f64 #s(literal -1 binary64) y)) (if (<=.f64 y #s(literal 160000000 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (-.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal -1 binary64) y))) (+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) x) y))))
(if (<=.f64 y #s(literal -1 binary64)) (-.f64 x (/.f64 #s(literal -1 binary64) y)) (if (<=.f64 y #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 y (-.f64 #s(literal 1 binary64) x))) (-.f64 x (/.f64 (+.f64 x #s(literal -1 binary64)) y))))
(if (<=.f64 y #s(literal -1 binary64)) (-.f64 x (/.f64 #s(literal -1 binary64) y)) (if (<=.f64 y #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 x #s(literal -1 binary64)))) (+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) x) y))))
(if (<=.f64 y #s(literal -1 binary64)) (-.f64 x (/.f64 #s(literal -1 binary64) y)) (if (<=.f64 y #s(literal 3512807709348987/4503599627370496 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 y (-.f64 #s(literal 1 binary64) x))) (-.f64 x (/.f64 #s(literal -1 binary64) y))))
(if (<=.f64 y #s(literal -1 binary64)) (-.f64 x (/.f64 #s(literal -1 binary64) y)) (if (<=.f64 y #s(literal 3512807709348987/4503599627370496 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 x #s(literal -1 binary64)))) (-.f64 x (/.f64 #s(literal -1 binary64) y))))
(if (<=.f64 y #s(literal -1 binary64)) (-.f64 x (/.f64 #s(literal -1 binary64) y)) (if (<=.f64 y #s(literal 5620492334958379/72057594037927936 binary64)) (-.f64 #s(literal 1 binary64) y) (-.f64 x (/.f64 #s(literal -1 binary64) y))))
(if (<=.f64 y #s(literal -1 binary64)) x (if (<=.f64 y #s(literal 5764607523034235/72057594037927936 binary64)) (-.f64 #s(literal 1 binary64) y) x))
(if (<=.f64 y #s(literal -1 binary64)) x (if (<=.f64 y #s(literal 4165829655317709/2251799813685248 binary64)) #s(literal 1 binary64) x))
#s(literal 1 binary64)

soundness1.0s (12.6%)

Rules
4344×*-lowering-*.f32
4344×*-lowering-*.f64
3802×+-lowering-+.f64
3802×+-lowering-+.f32
3600×+-lowering-+.f64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01771215
15871122
217871032
081131032
0127803
1418715
21347639
36172637
08074637
05534822
119934492
278094492
083524492
Stop Event
1×fuel
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
Compiler

Compiled 367 to 162 computations (55.9% saved)

preprocess96.0ms (1.2%)

Compiler

Compiled 558 to 180 computations (67.7% saved)

end0.0ms (0%)

Profiling

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