Numeric.SpecFunctions:logGamma from math-functions-0.1.5.2, A

Time bar (total: 6.5s)

analyze0.0ms (0%)

Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
100%99.9%0%0.1%0%0%0%1
Compiler

Compiled 14 to 11 computations (21.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 0.0ms
ival-sub: 0.0ms (0% of total)
ival-add: 0.0ms (0% of total)
ival-mult: 0.0ms (0% of total)
const: 0.0ms (0% of total)
...c/correct-round.rkt:119:19: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

sample1.3s (19.6%)

Results
992.0ms8256×0valid
Precisions
Click to see histograms. Total time spent on operations: 628.0ms
ival-mult: 204.0ms (32.5% of total)
ival-sub: 197.0ms (31.4% of total)
...c/correct-round.rkt:119:19: 164.0ms (26.1% of total)
ival-add: 44.0ms (7% of total)
const: 15.0ms (2.4% of total)
backward-pass: 3.0ms (0.5% of total)
Bogosity

preprocess311.0ms (4.8%)

Algorithm
2×egg-herbie
Rules
3736×sum3-define
2654×sum3-define
2014×fnmadd-define
2002×fnmsub-define
1768×sum4-define
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
02768
19258
227856
395854
4413250
5647250
6699850
7713550
8716150
9716550
01010
1279
2699
31599
43458
58908
625588
746808
874228
080118
Stop Event
1×iter limit
1×node limit
1×node limit
Calls
Call 1
Inputs
(+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000)
Outputs
(+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000)
(+.f64 (*.f64 y (+.f64 x #s(literal -1/2 binary64))) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x))
Call 2
Inputs
(+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000)
(+ (- (* (neg x) (- y 1)) (* y 1/2)) 918938533204673/1000000000000000)
(+ (- (* x (- (neg y) 1)) (* (neg y) 1/2)) 918938533204673/1000000000000000)
(neg (+ (- (* (neg x) (- y 1)) (* y 1/2)) 918938533204673/1000000000000000))
(neg (+ (- (* x (- (neg y) 1)) (* (neg y) 1/2)) 918938533204673/1000000000000000))
(+ (- (* y (- x 1)) (* x 1/2)) 918938533204673/1000000000000000)
Outputs
(+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000)
(+ (fnmsub y (- 1/2 x) x) 918938533204673/1000000000000000)
(+ (- (* (neg x) (- y 1)) (* y 1/2)) 918938533204673/1000000000000000)
(sum3 x 918938533204673/1000000000000000 (* y (- -1/2 x)))
(+ (- (* x (- (neg y) 1)) (* (neg y) 1/2)) 918938533204673/1000000000000000)
(+ 918938533204673/1000000000000000 (fnmsub y (+ x -1/2) x))
(neg (+ (- (* (neg x) (- y 1)) (* y 1/2)) 918938533204673/1000000000000000))
(+ -918938533204673/1000000000000000 (- (* y (+ x 1/2)) x))
(neg (+ (- (* x (- (neg y) 1)) (* (neg y) 1/2)) 918938533204673/1000000000000000))
(- -918938533204673/1000000000000000 (fnmsub y (+ x -1/2) x))
(+ (- (* y (- x 1)) (* x 1/2)) 918938533204673/1000000000000000)
(- 918938533204673/1000000000000000 (+ y (* x (- 1/2 y))))

explain138.0ms (2.1%)

FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-x
00-0-#s(literal 1/2 binary64)
00-0-(*.f64 y #s(literal 1/2 binary64))
00-0-y
00-0-(*.f64 x (-.f64 y #s(literal 1 binary64)))
00-0-#s(literal 918938533204673/1000000000000000 binary64)
00-0-(-.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 y #s(literal 1/2 binary64)))
00-0-(+.f64 (-.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 y #s(literal 1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64))
00-0-#s(literal 1 binary64)
00-0-(-.f64 y #s(literal 1 binary64))
Results
99.0ms512×0valid
Compiler

Compiled 91 to 32 computations (64.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 54.0ms
...c/correct-round.rkt:119:19: 29.0ms (53.9% of total)
ival-mult: 15.0ms (27.9% of total)
ival-sub: 6.0ms (11.2% of total)
ival-add: 3.0ms (5.6% of total)
const: 1.0ms (1.9% of total)
backward-pass: 0.0ms (0% of total)

eval0.0ms (0%)

Compiler

Compiled 11 to 8 computations (27.3% saved)

prune1.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
▶100.0%
(+.f64 (-.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 y #s(literal 1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64))
▶100.0%
(+.f64 (*.f64 y (+.f64 x #s(literal -1/2 binary64))) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x))
Compiler

Compiled 24 to 18 computations (25% saved)

simplify129.0ms (2%)

Algorithm
1×egg-herbie
Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(-.f64 y #s(literal 1 binary64))
✓cost-diff0
(*.f64 x (-.f64 y #s(literal 1 binary64)))
✓cost-diff128
(-.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 y #s(literal 1/2 binary64)))
✓cost-diff128
(+.f64 (-.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 y #s(literal 1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64))
✓cost-diff0
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)
✓cost-diff0
(+.f64 x #s(literal -1/2 binary64))
✓cost-diff0
(*.f64 y (+.f64 x #s(literal -1/2 binary64)))
✓cost-diff0
(+.f64 (*.f64 y (+.f64 x #s(literal -1/2 binary64))) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x))
Rules
2672×sum3-define
2200×fnmadd-define
1816×sum4-define
1612×fnmsub-define
1576×fmsub-define
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01555
14655
212555
328652
478352
5211952
6467652
7736352
8794652
0802352
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(+ (* y (+ x -1/2)) (- 918938533204673/1000000000000000 x))
(* y (+ x -1/2))
y
(+ x -1/2)
x
-1/2
(- 918938533204673/1000000000000000 x)
918938533204673/1000000000000000
(+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000)
(- (* x (- y 1)) (* y 1/2))
(* x (- y 1))
x
(- y 1)
y
1
(* y 1/2)
1/2
918938533204673/1000000000000000
Outputs
(+ (* y (+ x -1/2)) (- 918938533204673/1000000000000000 x))
(+.f64 (*.f64 y (+.f64 x #s(literal -1/2 binary64))) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x))
(* y (+ x -1/2))
(*.f64 y (+.f64 x #s(literal -1/2 binary64)))
y
(+ x -1/2)
(+.f64 x #s(literal -1/2 binary64))
x
-1/2
#s(literal -1/2 binary64)
(- 918938533204673/1000000000000000 x)
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)
918938533204673/1000000000000000
#s(literal 918938533204673/1000000000000000 binary64)
(+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000)
(+.f64 (*.f64 y (+.f64 x #s(literal -1/2 binary64))) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x))
(- (* x (- y 1)) (* y 1/2))
(-.f64 (*.f64 y (+.f64 x #s(literal -1/2 binary64))) x)
(* x (- y 1))
(*.f64 x (+.f64 y #s(literal -1 binary64)))
x
(- y 1)
(+.f64 y #s(literal -1 binary64))
y
1
#s(literal 1 binary64)
(* y 1/2)
(*.f64 y #s(literal 1/2 binary64))
1/2
#s(literal 1/2 binary64)
918938533204673/1000000000000000
#s(literal 918938533204673/1000000000000000 binary64)

localize88.0ms (1.3%)

Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(-.f64 y #s(literal 1 binary64))
✓accuracy100.0%
(+.f64 (-.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 y #s(literal 1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64))
✓accuracy100.0%
(*.f64 y #s(literal 1/2 binary64))
✓accuracy100.0%
(*.f64 x (-.f64 y #s(literal 1 binary64)))
✓accuracy100.0%
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)
✓accuracy100.0%
(+.f64 x #s(literal -1/2 binary64))
✓accuracy100.0%
(+.f64 (*.f64 y (+.f64 x #s(literal -1/2 binary64))) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x))
✓accuracy100.0%
(*.f64 y (+.f64 x #s(literal -1/2 binary64)))
Results
70.0ms256×0valid
Compiler

Compiled 63 to 16 computations (74.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 38.0ms
ival-sub: 17.0ms (44.7% of total)
...c/correct-round.rkt:119:19: 10.0ms (26.3% of total)
ival-mult: 5.0ms (13.2% of total)
ival-add: 4.0ms (10.5% of total)
const: 1.0ms (2.6% of total)
backward-pass: 0.0ms (0% of total)

series11.0ms (0.2%)

Counts
9 → 168
Calls
Call 1
Inputs
#<alt (+ (* y (+ x -1/2)) (- 918938533204673/1000000000000000 x))>
#<alt (* y (+ x -1/2))>
#<alt (+ x -1/2)>
#<alt (- 918938533204673/1000000000000000 x)>
#<alt (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000)>
#<alt (- (* x (- y 1)) (* y 1/2))>
#<alt (* x (- y 1))>
#<alt (- y 1)>
#<alt (* y 1/2)>
Outputs
#<alt (- 918938533204673/1000000000000000 x)>
#<alt (- (+ 918938533204673/1000000000000000 (* y (- x 1/2))) x)>
#<alt (- (+ 918938533204673/1000000000000000 (* y (- x 1/2))) x)>
#<alt (- (+ 918938533204673/1000000000000000 (* y (- x 1/2))) x)>
#<alt (* y (- x 1/2))>
#<alt (* y (- (+ x (* 918938533204673/1000000000000000 (/ 1 y))) (+ 1/2 (/ x y))))>
#<alt (* y (- (+ x (* 918938533204673/1000000000000000 (/ 1 y))) (+ 1/2 (/ x y))))>
#<alt (* y (- (+ x (* 918938533204673/1000000000000000 (/ 1 y))) (+ 1/2 (/ x y))))>
#<alt (* y (- x 1/2))>
#<alt (* -1 (* y (+ (* -1 (- x 1/2)) (* -1 (/ (- 918938533204673/1000000000000000 x) y)))))>
#<alt (* -1 (* y (+ (* -1 (- x 1/2)) (* -1 (/ (- 918938533204673/1000000000000000 x) y)))))>
#<alt (* -1 (* y (+ (* -1 (- x 1/2)) (* -1 (/ (- 918938533204673/1000000000000000 x) y)))))>
#<alt (+ 918938533204673/1000000000000000 (* -1/2 y))>
#<alt (+ 918938533204673/1000000000000000 (+ (* -1/2 y) (* x (- y 1))))>
#<alt (+ 918938533204673/1000000000000000 (+ (* -1/2 y) (* x (- y 1))))>
#<alt (+ 918938533204673/1000000000000000 (+ (* -1/2 y) (* x (- y 1))))>
#<alt (* x (- y 1))>
#<alt (* x (- (+ y (+ (* -1/2 (/ y x)) (* 918938533204673/1000000000000000 (/ 1 x)))) 1))>
#<alt (* x (- (+ y (+ (* -1/2 (/ y x)) (* 918938533204673/1000000000000000 (/ 1 x)))) 1))>
#<alt (* x (- (+ y (+ (* -1/2 (/ y x)) (* 918938533204673/1000000000000000 (/ 1 x)))) 1))>
#<alt (* -1 (* x (+ 1 (* -1 y))))>
#<alt (* -1 (* x (+ 1 (+ (* -1 y) (* -1 (/ (+ 918938533204673/1000000000000000 (* -1/2 y)) x))))))>
#<alt (* -1 (* x (+ 1 (+ (* -1 y) (* -1 (/ (+ 918938533204673/1000000000000000 (* -1/2 y)) x))))))>
#<alt (* -1 (* x (+ 1 (+ (* -1 y) (* -1 (/ (+ 918938533204673/1000000000000000 (* -1/2 y)) x))))))>
#<alt (* y (- x 1/2))>
#<alt (* y (- x 1/2))>
#<alt (* y (- x 1/2))>
#<alt (* y (- x 1/2))>
#<alt (* y (- x 1/2))>
#<alt (* y (- x 1/2))>
#<alt (* y (- x 1/2))>
#<alt (* y (- x 1/2))>
#<alt (* y (- x 1/2))>
#<alt (* y (- x 1/2))>
#<alt (* y (- x 1/2))>
#<alt (* y (- x 1/2))>
#<alt (* -1/2 y)>
#<alt (+ (* -1/2 y) (* x y))>
#<alt (+ (* -1/2 y) (* x y))>
#<alt (+ (* -1/2 y) (* x y))>
#<alt (* x y)>
#<alt (* x (+ y (* -1/2 (/ y x))))>
#<alt (* x (+ y (* -1/2 (/ y x))))>
#<alt (* x (+ y (* -1/2 (/ y x))))>
#<alt (* x y)>
#<alt (* -1 (* x (+ (* -1 y) (* 1/2 (/ y x)))))>
#<alt (* -1 (* x (+ (* -1 y) (* 1/2 (/ y x)))))>
#<alt (* -1 (* x (+ (* -1 y) (* 1/2 (/ y x)))))>
#<alt -1/2>
#<alt (- x 1/2)>
#<alt (- x 1/2)>
#<alt (- x 1/2)>
#<alt x>
#<alt (* x (- 1 (* 1/2 (/ 1 x))))>
#<alt (* x (- 1 (* 1/2 (/ 1 x))))>
#<alt (* x (- 1 (* 1/2 (/ 1 x))))>
#<alt x>
#<alt (* -1 (* x (- (* 1/2 (/ 1 x)) 1)))>
#<alt (* -1 (* x (- (* 1/2 (/ 1 x)) 1)))>
#<alt (* -1 (* x (- (* 1/2 (/ 1 x)) 1)))>
#<alt 918938533204673/1000000000000000>
#<alt (+ 918938533204673/1000000000000000 (* -1 x))>
#<alt (+ 918938533204673/1000000000000000 (* -1 x))>
#<alt (+ 918938533204673/1000000000000000 (* -1 x))>
#<alt (* -1 x)>
#<alt (* x (- (* 918938533204673/1000000000000000 (/ 1 x)) 1))>
#<alt (* x (- (* 918938533204673/1000000000000000 (/ 1 x)) 1))>
#<alt (* x (- (* 918938533204673/1000000000000000 (/ 1 x)) 1))>
#<alt (* -1 x)>
#<alt (* -1 (* x (- 1 (* 918938533204673/1000000000000000 (/ 1 x)))))>
#<alt (* -1 (* x (- 1 (* 918938533204673/1000000000000000 (/ 1 x)))))>
#<alt (* -1 (* x (- 1 (* 918938533204673/1000000000000000 (/ 1 x)))))>
#<alt (- 918938533204673/1000000000000000 (* 1/2 y))>
#<alt (- (+ 918938533204673/1000000000000000 (* x (- y 1))) (* 1/2 y))>
#<alt (- (+ 918938533204673/1000000000000000 (* x (- y 1))) (* 1/2 y))>
#<alt (- (+ 918938533204673/1000000000000000 (* x (- y 1))) (* 1/2 y))>
#<alt (* x (- y 1))>
#<alt (* x (- (+ y (* 918938533204673/1000000000000000 (/ 1 x))) (+ 1 (* 1/2 (/ y x)))))>
#<alt (* x (- (+ y (* 918938533204673/1000000000000000 (/ 1 x))) (+ 1 (* 1/2 (/ y x)))))>
#<alt (* x (- (+ y (* 918938533204673/1000000000000000 (/ 1 x))) (+ 1 (* 1/2 (/ y x)))))>
#<alt (* x (- y 1))>
#<alt (* -1 (* x (+ (* -1 (- y 1)) (* -1 (/ (- 918938533204673/1000000000000000 (* 1/2 y)) x)))))>
#<alt (* -1 (* x (+ (* -1 (- y 1)) (* -1 (/ (- 918938533204673/1000000000000000 (* 1/2 y)) x)))))>
#<alt (* -1 (* x (+ (* -1 (- y 1)) (* -1 (/ (- 918938533204673/1000000000000000 (* 1/2 y)) x)))))>
#<alt (+ 918938533204673/1000000000000000 (* -1 x))>
#<alt (+ 918938533204673/1000000000000000 (+ (* -1 x) (* y (- x 1/2))))>
#<alt (+ 918938533204673/1000000000000000 (+ (* -1 x) (* y (- x 1/2))))>
#<alt (+ 918938533204673/1000000000000000 (+ (* -1 x) (* y (- x 1/2))))>
#<alt (* y (- x 1/2))>
#<alt (* y (- (+ x (+ (* -1 (/ x y)) (* 918938533204673/1000000000000000 (/ 1 y)))) 1/2))>
#<alt (* y (- (+ x (+ (* -1 (/ x y)) (* 918938533204673/1000000000000000 (/ 1 y)))) 1/2))>
#<alt (* y (- (+ x (+ (* -1 (/ x y)) (* 918938533204673/1000000000000000 (/ 1 y)))) 1/2))>
#<alt (* -1 (* y (+ 1/2 (* -1 x))))>
#<alt (* -1 (* y (+ 1/2 (+ (* -1 x) (* -1 (/ (+ 918938533204673/1000000000000000 (* -1 x)) y))))))>
#<alt (* -1 (* y (+ 1/2 (+ (* -1 x) (* -1 (/ (+ 918938533204673/1000000000000000 (* -1 x)) y))))))>
#<alt (* -1 (* y (+ 1/2 (+ (* -1 x) (* -1 (/ (+ 918938533204673/1000000000000000 (* -1 x)) y))))))>
#<alt (* -1/2 y)>
#<alt (- (* x (- y 1)) (* 1/2 y))>
#<alt (- (* x (- y 1)) (* 1/2 y))>
#<alt (- (* x (- y 1)) (* 1/2 y))>
#<alt (* x (- y 1))>
#<alt (* x (- (+ y (* -1/2 (/ y x))) 1))>
#<alt (* x (- (+ y (* -1/2 (/ y x))) 1))>
#<alt (* x (- (+ y (* -1/2 (/ y x))) 1))>
#<alt (* x (- y 1))>
#<alt (* -1 (* x (+ (* -1 (- y 1)) (* 1/2 (/ y x)))))>
#<alt (* -1 (* x (+ (* -1 (- y 1)) (* 1/2 (/ y x)))))>
#<alt (* -1 (* x (+ (* -1 (- y 1)) (* 1/2 (/ y x)))))>
#<alt (* -1 x)>
#<alt (+ (* -1 x) (* y (- x 1/2)))>
#<alt (+ (* -1 x) (* y (- x 1/2)))>
#<alt (+ (* -1 x) (* y (- x 1/2)))>
#<alt (* y (- x 1/2))>
#<alt (* y (- (+ x (* -1 (/ x y))) 1/2))>
#<alt (* y (- (+ x (* -1 (/ x y))) 1/2))>
#<alt (* y (- (+ x (* -1 (/ x y))) 1/2))>
#<alt (* -1 (* y (+ 1/2 (* -1 x))))>
#<alt (* -1 (* y (+ 1/2 (+ (* -1 x) (/ x y)))))>
#<alt (* -1 (* y (+ 1/2 (+ (* -1 x) (/ x y)))))>
#<alt (* -1 (* y (+ 1/2 (+ (* -1 x) (/ x y)))))>
#<alt (* x (- y 1))>
#<alt (* x (- y 1))>
#<alt (* x (- y 1))>
#<alt (* x (- y 1))>
#<alt (* x (- y 1))>
#<alt (* x (- y 1))>
#<alt (* x (- y 1))>
#<alt (* x (- y 1))>
#<alt (* x (- y 1))>
#<alt (* x (- y 1))>
#<alt (* x (- y 1))>
#<alt (* x (- y 1))>
#<alt (* -1 x)>
#<alt (+ (* -1 x) (* x y))>
#<alt (+ (* -1 x) (* x y))>
#<alt (+ (* -1 x) (* x y))>
#<alt (* x y)>
#<alt (* y (+ x (* -1 (/ x y))))>
#<alt (* y (+ x (* -1 (/ x y))))>
#<alt (* y (+ x (* -1 (/ x y))))>
#<alt (* x y)>
#<alt (* -1 (* y (+ (* -1 x) (/ x y))))>
#<alt (* -1 (* y (+ (* -1 x) (/ x y))))>
#<alt (* -1 (* y (+ (* -1 x) (/ x y))))>
#<alt -1>
#<alt (- y 1)>
#<alt (- y 1)>
#<alt (- y 1)>
#<alt y>
#<alt (* y (- 1 (/ 1 y)))>
#<alt (* y (- 1 (/ 1 y)))>
#<alt (* y (- 1 (/ 1 y)))>
#<alt y>
#<alt (* -1 (* y (- (/ 1 y) 1)))>
#<alt (* -1 (* y (- (/ 1 y) 1)))>
#<alt (* -1 (* y (- (/ 1 y) 1)))>
#<alt (* 1/2 y)>
#<alt (* 1/2 y)>
#<alt (* 1/2 y)>
#<alt (* 1/2 y)>
#<alt (* 1/2 y)>
#<alt (* 1/2 y)>
#<alt (* 1/2 y)>
#<alt (* 1/2 y)>
#<alt (* 1/2 y)>
#<alt (* 1/2 y)>
#<alt (* 1/2 y)>
#<alt (* 1/2 y)>
Calls

42 calls:

TimeVariablePointExpression
1.0ms
y
@-inf
(+ (* y (+ x -1/2)) (- 918938533204673/1000000000000000 x))
1.0ms
x
@inf
(+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000)
1.0ms
y
@inf
(+ (* y (+ x -1/2)) (- 918938533204673/1000000000000000 x))
1.0ms
x
@0
(+ (* y (+ x -1/2)) (- 918938533204673/1000000000000000 x))
0.0ms
x
@0
(+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000)

rewrite375.0ms (5.7%)

Algorithm
1×batch-egg-rewrite
Rules
3230×/-lowering-/.f32
3230×/-lowering-/.f64
3030×*-lowering-*.f32
3030×*-lowering-*.f64
2350×+-lowering-+.f64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01548
112647
2112847
0821147
Stop Event
1×iter limit
1×node limit
Counts
9 → 457
Calls
Call 1
Inputs
(+ (* y (+ x -1/2)) (- 918938533204673/1000000000000000 x))
(* y (+ x -1/2))
(+ x -1/2)
(- 918938533204673/1000000000000000 x)
(+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000)
(- (* x (- y 1)) (* y 1/2))
(* x (- y 1))
(- y 1)
(* y 1/2)
Outputs
(+.f64 (*.f64 y (+.f64 x #s(literal -1/2 binary64))) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x))
(+.f64 #s(literal 918938533204673/1000000000000000 binary64) (+.f64 (-.f64 #s(literal 0 binary64) x) (*.f64 y (+.f64 x #s(literal -1/2 binary64)))))
(+.f64 #s(literal 918938533204673/1000000000000000 binary64) (neg.f64 (-.f64 x (*.f64 y (+.f64 x #s(literal -1/2 binary64))))))
(+.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) (*.f64 y (+.f64 x #s(literal -1/2 binary64))))
(+.f64 (*.f64 y x) (+.f64 (*.f64 y #s(literal -1/2 binary64)) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)))
(+.f64 (+.f64 (*.f64 y (+.f64 x #s(literal -1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64)) (-.f64 #s(literal 0 binary64) x))
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(/.f64 (+.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y))) (pow.f64 (*.f64 x #s(literal -1 binary64)) #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 y x) (*.f64 y x)) (-.f64 (*.f64 (*.f64 x #s(literal -1 binary64)) (*.f64 x #s(literal -1 binary64))) (*.f64 (*.f64 y x) (*.f64 x #s(literal -1 binary64))))))
(*.f64 x (+.f64 y #s(literal -1 binary64)))
(*.f64 (+.f64 y #s(literal -1 binary64)) x)
(*.f64 (+.f64 y #s(literal -1 binary64)) (/.f64 x #s(literal 1 binary64)))
(*.f64 (*.f64 x (+.f64 (*.f64 y (*.f64 y y)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 y y) (+.f64 y #s(literal 1 binary64)))))
(*.f64 (*.f64 x (+.f64 (*.f64 y y) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))))
(*.f64 (*.f64 (+.f64 (*.f64 y (*.f64 y y)) #s(literal -1 binary64)) x) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 y y) (+.f64 y #s(literal 1 binary64)))))
(*.f64 (*.f64 (+.f64 (*.f64 y y) #s(literal -1 binary64)) x) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))))
(*.f64 (/.f64 x (+.f64 y #s(literal 1 binary64))) (/.f64 (+.f64 (*.f64 y y) #s(literal -1 binary64)) #s(literal 1 binary64)))
(+.f64 y #s(literal -1 binary64))
(+.f64 #s(literal -1 binary64) y)
(+.f64 (/.f64 (*.f64 y (*.f64 y y)) (+.f64 (*.f64 y y) (+.f64 y #s(literal 1 binary64)))) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 y y) (+.f64 y #s(literal 1 binary64))))))
(+.f64 (/.f64 (*.f64 y y) (+.f64 y #s(literal 1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64)))))
(-.f64 y #s(literal 1 binary64))
(-.f64 (/.f64 (*.f64 y (*.f64 y y)) (+.f64 (*.f64 y y) (+.f64 y #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 y y) (+.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 y (*.f64 y y)) (+.f64 (*.f64 y y) (-.f64 #s(literal 1 binary64) (*.f64 y #s(literal -1 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 y y) (-.f64 #s(literal 1 binary64) (*.f64 y #s(literal -1 binary64))))))
(fma.f64 y #s(literal 1 binary64) #s(literal -1 binary64))
(fma.f64 #s(literal 1 binary64) y #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 y y) (-.f64 #s(literal 1 binary64) (*.f64 y #s(literal -1 binary64)))) (+.f64 (*.f64 y (*.f64 y y)) #s(literal -1 binary64))))
(/.f64 (+.f64 (*.f64 y (*.f64 y y)) #s(literal -1 binary64)) (+.f64 (*.f64 y y) (+.f64 y #s(literal 1 binary64))))
(/.f64 (+.f64 (*.f64 y (*.f64 y y)) #s(literal -1 binary64)) (+.f64 (*.f64 y y) (-.f64 #s(literal 1 binary64) (*.f64 y #s(literal -1 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64)))))
(/.f64 (+.f64 (*.f64 y y) #s(literal -1 binary64)) (+.f64 y #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 y (*.f64 y y)) #s(literal -1 binary64))) (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 y y) (+.f64 y #s(literal 1 binary64)))))
(/.f64 (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 y (*.f64 y y)) #s(literal -1 binary64))) (neg.f64 (+.f64 (*.f64 y y) (-.f64 #s(literal 1 binary64) (*.f64 y #s(literal -1 binary64))))))
(/.f64 (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 y y) #s(literal -1 binary64))) (-.f64 #s(literal 0 binary64) (+.f64 y #s(literal 1 binary64))))
(/.f64 (-.f64 (*.f64 (*.f64 y (*.f64 y y)) (+.f64 (*.f64 y y) (+.f64 y #s(literal 1 binary64)))) (*.f64 (+.f64 (*.f64 y y) (+.f64 y #s(literal 1 binary64))) #s(literal 1 binary64))) (*.f64 (+.f64 (*.f64 y y) (+.f64 y #s(literal 1 binary64))) (+.f64 (*.f64 y y) (+.f64 y #s(literal 1 binary64)))))
(/.f64 (-.f64 (*.f64 (*.f64 y y) (+.f64 y #s(literal 1 binary64))) (+.f64 y #s(literal 1 binary64))) (*.f64 (+.f64 y #s(literal 1 binary64)) (+.f64 y #s(literal 1 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 y (*.f64 y y)) #s(literal -1 binary64)))) (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 y y) (+.f64 y #s(literal 1 binary64))))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 y y) #s(literal -1 binary64)))) (neg.f64 (-.f64 #s(literal 0 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 0 binary64) y))))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 y (*.f64 y y)) (+.f64 (*.f64 y y) (+.f64 y #s(literal 1 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 y y) (+.f64 y #s(literal 1 binary64)))) #s(literal 3 binary64))) (+.f64 (*.f64 (/.f64 (*.f64 y (*.f64 y y)) (+.f64 (*.f64 y y) (+.f64 y #s(literal 1 binary64)))) (/.f64 (*.f64 y (*.f64 y y)) (+.f64 (*.f64 y y) (+.f64 y #s(literal 1 binary64))))) (+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 y y) (+.f64 y #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 y y) (+.f64 y #s(literal 1 binary64))))) (*.f64 (/.f64 (*.f64 y (*.f64 y y)) (+.f64 (*.f64 y y) (+.f64 y #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 y y) (+.f64 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)))))))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64)))
(*.f64 (+.f64 (*.f64 y (*.f64 y y)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 y y) (+.f64 y #s(literal 1 binary64)))))
(*.f64 (+.f64 (*.f64 y (*.f64 y y)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 y y) (-.f64 #s(literal 1 binary64) (*.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 (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 y (*.f64 y y)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 y y) (+.f64 y #s(literal 1 binary64))))))
(*.f64 (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 y y) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 y #s(literal 1 binary64)))))
(*.f64 (/.f64 (+.f64 y #s(literal 1 binary64)) (+.f64 y #s(literal 1 binary64))) (/.f64 (+.f64 y #s(literal -1 binary64)) #s(literal 1 binary64)))
(*.f64 y #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) y)

simplify275.0ms (4.2%)

Algorithm
1×egg-herbie
Rules
2214×fma-lowering-fma.f32
2214×fma-lowering-fma.f64
1922×fmsub-define
1696×*-lowering-*.f32
1696×*-lowering-*.f64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01221102
14221004
21379953
34685941
08064941
Stop Event
1×iter limit
1×node limit
Counts
168 → 168
Calls
Call 1
Inputs
(- 918938533204673/1000000000000000 x)
(- (+ 918938533204673/1000000000000000 (* y (- x 1/2))) x)
(- (+ 918938533204673/1000000000000000 (* y (- x 1/2))) x)
(- (+ 918938533204673/1000000000000000 (* y (- x 1/2))) x)
(* y (- x 1/2))
(* y (- (+ x (* 918938533204673/1000000000000000 (/ 1 y))) (+ 1/2 (/ x y))))
(* y (- (+ x (* 918938533204673/1000000000000000 (/ 1 y))) (+ 1/2 (/ x y))))
(* y (- (+ x (* 918938533204673/1000000000000000 (/ 1 y))) (+ 1/2 (/ x y))))
(* y (- x 1/2))
(* -1 (* y (+ (* -1 (- x 1/2)) (* -1 (/ (- 918938533204673/1000000000000000 x) y)))))
(* -1 (* y (+ (* -1 (- x 1/2)) (* -1 (/ (- 918938533204673/1000000000000000 x) y)))))
(* -1 (* y (+ (* -1 (- x 1/2)) (* -1 (/ (- 918938533204673/1000000000000000 x) y)))))
(+ 918938533204673/1000000000000000 (* -1/2 y))
(+ 918938533204673/1000000000000000 (+ (* -1/2 y) (* x (- y 1))))
(+ 918938533204673/1000000000000000 (+ (* -1/2 y) (* x (- y 1))))
(+ 918938533204673/1000000000000000 (+ (* -1/2 y) (* x (- y 1))))
(* x (- y 1))
(* x (- (+ y (+ (* -1/2 (/ y x)) (* 918938533204673/1000000000000000 (/ 1 x)))) 1))
(* x (- (+ y (+ (* -1/2 (/ y x)) (* 918938533204673/1000000000000000 (/ 1 x)))) 1))
(* x (- (+ y (+ (* -1/2 (/ y x)) (* 918938533204673/1000000000000000 (/ 1 x)))) 1))
(* -1 (* x (+ 1 (* -1 y))))
(* -1 (* x (+ 1 (+ (* -1 y) (* -1 (/ (+ 918938533204673/1000000000000000 (* -1/2 y)) x))))))
(* -1 (* x (+ 1 (+ (* -1 y) (* -1 (/ (+ 918938533204673/1000000000000000 (* -1/2 y)) x))))))
(* -1 (* x (+ 1 (+ (* -1 y) (* -1 (/ (+ 918938533204673/1000000000000000 (* -1/2 y)) x))))))
(* y (- x 1/2))
(* y (- x 1/2))
(* y (- x 1/2))
(* y (- x 1/2))
(* y (- x 1/2))
(* y (- x 1/2))
(* y (- x 1/2))
(* y (- x 1/2))
(* y (- x 1/2))
(* y (- x 1/2))
(* y (- x 1/2))
(* y (- x 1/2))
(* -1/2 y)
(+ (* -1/2 y) (* x y))
(+ (* -1/2 y) (* x y))
(+ (* -1/2 y) (* x y))
(* x y)
(* x (+ y (* -1/2 (/ y x))))
(* x (+ y (* -1/2 (/ y x))))
(* x (+ y (* -1/2 (/ y x))))
(* x y)
(* -1 (* x (+ (* -1 y) (* 1/2 (/ y x)))))
(* -1 (* x (+ (* -1 y) (* 1/2 (/ y x)))))
(* -1 (* x (+ (* -1 y) (* 1/2 (/ y x)))))
-1/2
(- x 1/2)
(- x 1/2)
(- x 1/2)
x
(* x (- 1 (* 1/2 (/ 1 x))))
(* x (- 1 (* 1/2 (/ 1 x))))
(* x (- 1 (* 1/2 (/ 1 x))))
x
(* -1 (* x (- (* 1/2 (/ 1 x)) 1)))
(* -1 (* x (- (* 1/2 (/ 1 x)) 1)))
(* -1 (* x (- (* 1/2 (/ 1 x)) 1)))
918938533204673/1000000000000000
(+ 918938533204673/1000000000000000 (* -1 x))
(+ 918938533204673/1000000000000000 (* -1 x))
(+ 918938533204673/1000000000000000 (* -1 x))
(* -1 x)
(* x (- (* 918938533204673/1000000000000000 (/ 1 x)) 1))
(* x (- (* 918938533204673/1000000000000000 (/ 1 x)) 1))
(* x (- (* 918938533204673/1000000000000000 (/ 1 x)) 1))
(* -1 x)
(* -1 (* x (- 1 (* 918938533204673/1000000000000000 (/ 1 x)))))
(* -1 (* x (- 1 (* 918938533204673/1000000000000000 (/ 1 x)))))
(* -1 (* x (- 1 (* 918938533204673/1000000000000000 (/ 1 x)))))
(- 918938533204673/1000000000000000 (* 1/2 y))
(- (+ 918938533204673/1000000000000000 (* x (- y 1))) (* 1/2 y))
(- (+ 918938533204673/1000000000000000 (* x (- y 1))) (* 1/2 y))
(- (+ 918938533204673/1000000000000000 (* x (- y 1))) (* 1/2 y))
(* x (- y 1))
(* x (- (+ y (* 918938533204673/1000000000000000 (/ 1 x))) (+ 1 (* 1/2 (/ y x)))))
(* x (- (+ y (* 918938533204673/1000000000000000 (/ 1 x))) (+ 1 (* 1/2 (/ y x)))))
(* x (- (+ y (* 918938533204673/1000000000000000 (/ 1 x))) (+ 1 (* 1/2 (/ y x)))))
(* x (- y 1))
(* -1 (* x (+ (* -1 (- y 1)) (* -1 (/ (- 918938533204673/1000000000000000 (* 1/2 y)) x)))))
(* -1 (* x (+ (* -1 (- y 1)) (* -1 (/ (- 918938533204673/1000000000000000 (* 1/2 y)) x)))))
(* -1 (* x (+ (* -1 (- y 1)) (* -1 (/ (- 918938533204673/1000000000000000 (* 1/2 y)) x)))))
(+ 918938533204673/1000000000000000 (* -1 x))
(+ 918938533204673/1000000000000000 (+ (* -1 x) (* y (- x 1/2))))
(+ 918938533204673/1000000000000000 (+ (* -1 x) (* y (- x 1/2))))
(+ 918938533204673/1000000000000000 (+ (* -1 x) (* y (- x 1/2))))
(* y (- x 1/2))
(* y (- (+ x (+ (* -1 (/ x y)) (* 918938533204673/1000000000000000 (/ 1 y)))) 1/2))
(* y (- (+ x (+ (* -1 (/ x y)) (* 918938533204673/1000000000000000 (/ 1 y)))) 1/2))
(* y (- (+ x (+ (* -1 (/ x y)) (* 918938533204673/1000000000000000 (/ 1 y)))) 1/2))
(* -1 (* y (+ 1/2 (* -1 x))))
(* -1 (* y (+ 1/2 (+ (* -1 x) (* -1 (/ (+ 918938533204673/1000000000000000 (* -1 x)) y))))))
(* -1 (* y (+ 1/2 (+ (* -1 x) (* -1 (/ (+ 918938533204673/1000000000000000 (* -1 x)) y))))))
(* -1 (* y (+ 1/2 (+ (* -1 x) (* -1 (/ (+ 918938533204673/1000000000000000 (* -1 x)) y))))))
(* -1/2 y)
(- (* x (- y 1)) (* 1/2 y))
(- (* x (- y 1)) (* 1/2 y))
(- (* x (- y 1)) (* 1/2 y))
(* x (- y 1))
(* x (- (+ y (* -1/2 (/ y x))) 1))
(* x (- (+ y (* -1/2 (/ y x))) 1))
(* x (- (+ y (* -1/2 (/ y x))) 1))
(* x (- y 1))
(* -1 (* x (+ (* -1 (- y 1)) (* 1/2 (/ y x)))))
(* -1 (* x (+ (* -1 (- y 1)) (* 1/2 (/ y x)))))
(* -1 (* x (+ (* -1 (- y 1)) (* 1/2 (/ y x)))))
(* -1 x)
(+ (* -1 x) (* y (- x 1/2)))
(+ (* -1 x) (* y (- x 1/2)))
(+ (* -1 x) (* y (- x 1/2)))
(* y (- x 1/2))
(* y (- (+ x (* -1 (/ x y))) 1/2))
(* y (- (+ x (* -1 (/ x y))) 1/2))
(* y (- (+ x (* -1 (/ x y))) 1/2))
(* -1 (* y (+ 1/2 (* -1 x))))
(* -1 (* y (+ 1/2 (+ (* -1 x) (/ x y)))))
(* -1 (* y (+ 1/2 (+ (* -1 x) (/ x y)))))
(* -1 (* y (+ 1/2 (+ (* -1 x) (/ x 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))
(* -1 x)
(+ (* -1 x) (* x y))
(+ (* -1 x) (* x y))
(+ (* -1 x) (* x y))
(* x y)
(* y (+ x (* -1 (/ x y))))
(* y (+ x (* -1 (/ x y))))
(* y (+ x (* -1 (/ x y))))
(* x y)
(* -1 (* y (+ (* -1 x) (/ x y))))
(* -1 (* y (+ (* -1 x) (/ x y))))
(* -1 (* y (+ (* -1 x) (/ x y))))
-1
(- y 1)
(- y 1)
(- y 1)
y
(* y (- 1 (/ 1 y)))
(* y (- 1 (/ 1 y)))
(* y (- 1 (/ 1 y)))
y
(* -1 (* y (- (/ 1 y) 1)))
(* -1 (* y (- (/ 1 y) 1)))
(* -1 (* y (- (/ 1 y) 1)))
(* 1/2 y)
(* 1/2 y)
(* 1/2 y)
(* 1/2 y)
(* 1/2 y)
(* 1/2 y)
(* 1/2 y)
(* 1/2 y)
(* 1/2 y)
(* 1/2 y)
(* 1/2 y)
(* 1/2 y)
Outputs
(- 918938533204673/1000000000000000 x)
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)
(- (+ 918938533204673/1000000000000000 (* y (- x 1/2))) x)
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (+.f64 x (*.f64 y (-.f64 #s(literal 1/2 binary64) x))))
(- (+ 918938533204673/1000000000000000 (* y (- x 1/2))) x)
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (+.f64 x (*.f64 y (-.f64 #s(literal 1/2 binary64) x))))
(- (+ 918938533204673/1000000000000000 (* y (- x 1/2))) x)
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (+.f64 x (*.f64 y (-.f64 #s(literal 1/2 binary64) x))))
(* y (- x 1/2))
(*.f64 y (+.f64 x #s(literal -1/2 binary64)))
(* y (- (+ x (* 918938533204673/1000000000000000 (/ 1 y))) (+ 1/2 (/ x y))))
(-.f64 (*.f64 y (+.f64 x #s(literal -1/2 binary64))) (*.f64 (+.f64 x #s(literal -918938533204673/1000000000000000 binary64)) #s(literal 1 binary64)))
(* y (- (+ x (* 918938533204673/1000000000000000 (/ 1 y))) (+ 1/2 (/ x y))))
(-.f64 (*.f64 y (+.f64 x #s(literal -1/2 binary64))) (*.f64 (+.f64 x #s(literal -918938533204673/1000000000000000 binary64)) #s(literal 1 binary64)))
(* y (- (+ x (* 918938533204673/1000000000000000 (/ 1 y))) (+ 1/2 (/ x y))))
(-.f64 (*.f64 y (+.f64 x #s(literal -1/2 binary64))) (*.f64 (+.f64 x #s(literal -918938533204673/1000000000000000 binary64)) #s(literal 1 binary64)))
(* y (- x 1/2))
(*.f64 y (+.f64 x #s(literal -1/2 binary64)))
(* -1 (* y (+ (* -1 (- x 1/2)) (* -1 (/ (- 918938533204673/1000000000000000 x) y)))))
(-.f64 (*.f64 y (+.f64 x #s(literal -1/2 binary64))) (*.f64 (+.f64 x #s(literal -918938533204673/1000000000000000 binary64)) #s(literal 1 binary64)))
(* -1 (* y (+ (* -1 (- x 1/2)) (* -1 (/ (- 918938533204673/1000000000000000 x) y)))))
(-.f64 (*.f64 y (+.f64 x #s(literal -1/2 binary64))) (*.f64 (+.f64 x #s(literal -918938533204673/1000000000000000 binary64)) #s(literal 1 binary64)))
(* -1 (* y (+ (* -1 (- x 1/2)) (* -1 (/ (- 918938533204673/1000000000000000 x) y)))))
(-.f64 (*.f64 y (+.f64 x #s(literal -1/2 binary64))) (*.f64 (+.f64 x #s(literal -918938533204673/1000000000000000 binary64)) #s(literal 1 binary64)))
(+ 918938533204673/1000000000000000 (* -1/2 y))
(+.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 y #s(literal -1/2 binary64)))
(+ 918938533204673/1000000000000000 (+ (* -1/2 y) (* x (- y 1))))
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (+.f64 x (*.f64 y (-.f64 #s(literal 1/2 binary64) x))))
(+ 918938533204673/1000000000000000 (+ (* -1/2 y) (* x (- y 1))))
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (+.f64 x (*.f64 y (-.f64 #s(literal 1/2 binary64) x))))
(+ 918938533204673/1000000000000000 (+ (* -1/2 y) (* x (- y 1))))
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (+.f64 x (*.f64 y (-.f64 #s(literal 1/2 binary64) x))))
(* x (- y 1))
(*.f64 x (+.f64 y #s(literal -1 binary64)))
(* x (- (+ y (+ (* -1/2 (/ y x)) (* 918938533204673/1000000000000000 (/ 1 x)))) 1))
(*.f64 x (+.f64 #s(literal -1 binary64) (+.f64 y (/.f64 (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 y #s(literal -1/2 binary64))) x))))
(* x (- (+ y (+ (* -1/2 (/ y x)) (* 918938533204673/1000000000000000 (/ 1 x)))) 1))
(*.f64 x (+.f64 #s(literal -1 binary64) (+.f64 y (/.f64 (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 y #s(literal -1/2 binary64))) x))))
(* x (- (+ y (+ (* -1/2 (/ y x)) (* 918938533204673/1000000000000000 (/ 1 x)))) 1))
(*.f64 x (+.f64 #s(literal -1 binary64) (+.f64 y (/.f64 (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 y #s(literal -1/2 binary64))) x))))
(* -1 (* x (+ 1 (* -1 y))))
(*.f64 x (+.f64 y #s(literal -1 binary64)))
(* -1 (* x (+ 1 (+ (* -1 y) (* -1 (/ (+ 918938533204673/1000000000000000 (* -1/2 y)) x))))))
(*.f64 x (+.f64 #s(literal -1 binary64) (+.f64 y (/.f64 (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 y #s(literal -1/2 binary64))) x))))
(* -1 (* x (+ 1 (+ (* -1 y) (* -1 (/ (+ 918938533204673/1000000000000000 (* -1/2 y)) x))))))
(*.f64 x (+.f64 #s(literal -1 binary64) (+.f64 y (/.f64 (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 y #s(literal -1/2 binary64))) x))))
(* -1 (* x (+ 1 (+ (* -1 y) (* -1 (/ (+ 918938533204673/1000000000000000 (* -1/2 y)) x))))))
(*.f64 x (+.f64 #s(literal -1 binary64) (+.f64 y (/.f64 (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 y #s(literal -1/2 binary64))) x))))
(* y (- x 1/2))
(*.f64 y (+.f64 x #s(literal -1/2 binary64)))
(* y (- x 1/2))
(*.f64 y (+.f64 x #s(literal -1/2 binary64)))
(* y (- x 1/2))
(*.f64 y (+.f64 x #s(literal -1/2 binary64)))
(* y (- x 1/2))
(*.f64 y (+.f64 x #s(literal -1/2 binary64)))
(* y (- x 1/2))
(*.f64 y (+.f64 x #s(literal -1/2 binary64)))
(* y (- x 1/2))
(*.f64 y (+.f64 x #s(literal -1/2 binary64)))
(* y (- x 1/2))
(*.f64 y (+.f64 x #s(literal -1/2 binary64)))
(* y (- x 1/2))
(*.f64 y (+.f64 x #s(literal -1/2 binary64)))
(* y (- x 1/2))
(*.f64 y (+.f64 x #s(literal -1/2 binary64)))
(* y (- x 1/2))
(*.f64 y (+.f64 x #s(literal -1/2 binary64)))
(* y (- x 1/2))
(*.f64 y (+.f64 x #s(literal -1/2 binary64)))
(* y (- x 1/2))
(*.f64 y (+.f64 x #s(literal -1/2 binary64)))
(* -1/2 y)
(*.f64 y #s(literal -1/2 binary64))
(+ (* -1/2 y) (* x y))
(*.f64 y (+.f64 x #s(literal -1/2 binary64)))
(+ (* -1/2 y) (* x y))
(*.f64 y (+.f64 x #s(literal -1/2 binary64)))
(+ (* -1/2 y) (* x y))
(*.f64 y (+.f64 x #s(literal -1/2 binary64)))
(* x y)
(*.f64 x y)
(* x (+ y (* -1/2 (/ y x))))
(*.f64 x (+.f64 y (*.f64 #s(literal -1/2 binary64) (/.f64 y x))))
(* x (+ y (* -1/2 (/ y x))))
(*.f64 x (+.f64 y (*.f64 #s(literal -1/2 binary64) (/.f64 y x))))
(* x (+ y (* -1/2 (/ y x))))
(*.f64 x (+.f64 y (*.f64 #s(literal -1/2 binary64) (/.f64 y x))))
(* x y)
(*.f64 x y)
(* -1 (* x (+ (* -1 y) (* 1/2 (/ y x)))))
(*.f64 x (+.f64 y (*.f64 #s(literal -1/2 binary64) (/.f64 y x))))
(* -1 (* x (+ (* -1 y) (* 1/2 (/ y x)))))
(*.f64 x (+.f64 y (*.f64 #s(literal -1/2 binary64) (/.f64 y x))))
(* -1 (* x (+ (* -1 y) (* 1/2 (/ y x)))))
(*.f64 x (+.f64 y (*.f64 #s(literal -1/2 binary64) (/.f64 y x))))
-1/2
#s(literal -1/2 binary64)
(- x 1/2)
(+.f64 x #s(literal -1/2 binary64))
(- x 1/2)
(+.f64 x #s(literal -1/2 binary64))
(- x 1/2)
(+.f64 x #s(literal -1/2 binary64))
x
(* x (- 1 (* 1/2 (/ 1 x))))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x)))
(* x (- 1 (* 1/2 (/ 1 x))))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x)))
(* x (- 1 (* 1/2 (/ 1 x))))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x)))
x
(* -1 (* x (- (* 1/2 (/ 1 x)) 1)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x)))
(* -1 (* x (- (* 1/2 (/ 1 x)) 1)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x)))
(* -1 (* x (- (* 1/2 (/ 1 x)) 1)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x)))
918938533204673/1000000000000000
#s(literal 918938533204673/1000000000000000 binary64)
(+ 918938533204673/1000000000000000 (* -1 x))
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)
(+ 918938533204673/1000000000000000 (* -1 x))
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)
(+ 918938533204673/1000000000000000 (* -1 x))
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* x (- (* 918938533204673/1000000000000000 (/ 1 x)) 1))
(*.f64 x (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 918938533204673/1000000000000000 binary64) x)))
(* x (- (* 918938533204673/1000000000000000 (/ 1 x)) 1))
(*.f64 x (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 918938533204673/1000000000000000 binary64) x)))
(* x (- (* 918938533204673/1000000000000000 (/ 1 x)) 1))
(*.f64 x (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 918938533204673/1000000000000000 binary64) x)))
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* -1 (* x (- 1 (* 918938533204673/1000000000000000 (/ 1 x)))))
(*.f64 x (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 918938533204673/1000000000000000 binary64) x)))
(* -1 (* x (- 1 (* 918938533204673/1000000000000000 (/ 1 x)))))
(*.f64 x (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 918938533204673/1000000000000000 binary64) x)))
(* -1 (* x (- 1 (* 918938533204673/1000000000000000 (/ 1 x)))))
(*.f64 x (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 918938533204673/1000000000000000 binary64) x)))
(- 918938533204673/1000000000000000 (* 1/2 y))
(+.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 y #s(literal -1/2 binary64)))
(- (+ 918938533204673/1000000000000000 (* x (- y 1))) (* 1/2 y))
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (+.f64 x (*.f64 y (-.f64 #s(literal 1/2 binary64) x))))
(- (+ 918938533204673/1000000000000000 (* x (- y 1))) (* 1/2 y))
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (+.f64 x (*.f64 y (-.f64 #s(literal 1/2 binary64) x))))
(- (+ 918938533204673/1000000000000000 (* x (- y 1))) (* 1/2 y))
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (+.f64 x (*.f64 y (-.f64 #s(literal 1/2 binary64) x))))
(* x (- y 1))
(*.f64 x (+.f64 y #s(literal -1 binary64)))
(* x (- (+ y (* 918938533204673/1000000000000000 (/ 1 x))) (+ 1 (* 1/2 (/ y x)))))
(*.f64 x (+.f64 #s(literal -1 binary64) (+.f64 y (/.f64 (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 y #s(literal -1/2 binary64))) x))))
(* x (- (+ y (* 918938533204673/1000000000000000 (/ 1 x))) (+ 1 (* 1/2 (/ y x)))))
(*.f64 x (+.f64 #s(literal -1 binary64) (+.f64 y (/.f64 (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 y #s(literal -1/2 binary64))) x))))
(* x (- (+ y (* 918938533204673/1000000000000000 (/ 1 x))) (+ 1 (* 1/2 (/ y x)))))
(*.f64 x (+.f64 #s(literal -1 binary64) (+.f64 y (/.f64 (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 y #s(literal -1/2 binary64))) x))))
(* x (- y 1))
(*.f64 x (+.f64 y #s(literal -1 binary64)))
(* -1 (* x (+ (* -1 (- y 1)) (* -1 (/ (- 918938533204673/1000000000000000 (* 1/2 y)) x)))))
(*.f64 x (+.f64 #s(literal -1 binary64) (+.f64 y (/.f64 (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 y #s(literal -1/2 binary64))) x))))
(* -1 (* x (+ (* -1 (- y 1)) (* -1 (/ (- 918938533204673/1000000000000000 (* 1/2 y)) x)))))
(*.f64 x (+.f64 #s(literal -1 binary64) (+.f64 y (/.f64 (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 y #s(literal -1/2 binary64))) x))))
(* -1 (* x (+ (* -1 (- y 1)) (* -1 (/ (- 918938533204673/1000000000000000 (* 1/2 y)) x)))))
(*.f64 x (+.f64 #s(literal -1 binary64) (+.f64 y (/.f64 (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 y #s(literal -1/2 binary64))) x))))
(+ 918938533204673/1000000000000000 (* -1 x))
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)
(+ 918938533204673/1000000000000000 (+ (* -1 x) (* y (- x 1/2))))
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (+.f64 x (*.f64 y (-.f64 #s(literal 1/2 binary64) x))))
(+ 918938533204673/1000000000000000 (+ (* -1 x) (* y (- x 1/2))))
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (+.f64 x (*.f64 y (-.f64 #s(literal 1/2 binary64) x))))
(+ 918938533204673/1000000000000000 (+ (* -1 x) (* y (- x 1/2))))
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (+.f64 x (*.f64 y (-.f64 #s(literal 1/2 binary64) x))))
(* y (- x 1/2))
(*.f64 y (+.f64 x #s(literal -1/2 binary64)))
(* y (- (+ x (+ (* -1 (/ x y)) (* 918938533204673/1000000000000000 (/ 1 y)))) 1/2))
(-.f64 (*.f64 y (+.f64 x #s(literal -1/2 binary64))) (*.f64 (+.f64 x #s(literal -918938533204673/1000000000000000 binary64)) #s(literal 1 binary64)))
(* y (- (+ x (+ (* -1 (/ x y)) (* 918938533204673/1000000000000000 (/ 1 y)))) 1/2))
(-.f64 (*.f64 y (+.f64 x #s(literal -1/2 binary64))) (*.f64 (+.f64 x #s(literal -918938533204673/1000000000000000 binary64)) #s(literal 1 binary64)))
(* y (- (+ x (+ (* -1 (/ x y)) (* 918938533204673/1000000000000000 (/ 1 y)))) 1/2))
(-.f64 (*.f64 y (+.f64 x #s(literal -1/2 binary64))) (*.f64 (+.f64 x #s(literal -918938533204673/1000000000000000 binary64)) #s(literal 1 binary64)))
(* -1 (* y (+ 1/2 (* -1 x))))
(*.f64 y (+.f64 x #s(literal -1/2 binary64)))
(* -1 (* y (+ 1/2 (+ (* -1 x) (* -1 (/ (+ 918938533204673/1000000000000000 (* -1 x)) y))))))
(-.f64 (*.f64 y (+.f64 x #s(literal -1/2 binary64))) (*.f64 (+.f64 x #s(literal -918938533204673/1000000000000000 binary64)) #s(literal 1 binary64)))
(* -1 (* y (+ 1/2 (+ (* -1 x) (* -1 (/ (+ 918938533204673/1000000000000000 (* -1 x)) y))))))
(-.f64 (*.f64 y (+.f64 x #s(literal -1/2 binary64))) (*.f64 (+.f64 x #s(literal -918938533204673/1000000000000000 binary64)) #s(literal 1 binary64)))
(* -1 (* y (+ 1/2 (+ (* -1 x) (* -1 (/ (+ 918938533204673/1000000000000000 (* -1 x)) y))))))
(-.f64 (*.f64 y (+.f64 x #s(literal -1/2 binary64))) (*.f64 (+.f64 x #s(literal -918938533204673/1000000000000000 binary64)) #s(literal 1 binary64)))
(* -1/2 y)
(*.f64 y #s(literal -1/2 binary64))
(- (* x (- y 1)) (* 1/2 y))
(-.f64 (*.f64 y (+.f64 x #s(literal -1/2 binary64))) x)
(- (* x (- y 1)) (* 1/2 y))
(-.f64 (*.f64 y (+.f64 x #s(literal -1/2 binary64))) x)
(- (* x (- y 1)) (* 1/2 y))
(-.f64 (*.f64 y (+.f64 x #s(literal -1/2 binary64))) x)
(* x (- y 1))
(*.f64 x (+.f64 y #s(literal -1 binary64)))
(* x (- (+ y (* -1/2 (/ y x))) 1))
(*.f64 x (+.f64 y (+.f64 #s(literal -1 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 y x)))))
(* x (- (+ y (* -1/2 (/ y x))) 1))
(*.f64 x (+.f64 y (+.f64 #s(literal -1 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 y x)))))
(* x (- (+ y (* -1/2 (/ y x))) 1))
(*.f64 x (+.f64 y (+.f64 #s(literal -1 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 y x)))))
(* x (- y 1))
(*.f64 x (+.f64 y #s(literal -1 binary64)))
(* -1 (* x (+ (* -1 (- y 1)) (* 1/2 (/ y x)))))
(*.f64 x (+.f64 y (+.f64 #s(literal -1 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 y x)))))
(* -1 (* x (+ (* -1 (- y 1)) (* 1/2 (/ y x)))))
(*.f64 x (+.f64 y (+.f64 #s(literal -1 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 y x)))))
(* -1 (* x (+ (* -1 (- y 1)) (* 1/2 (/ y x)))))
(*.f64 x (+.f64 y (+.f64 #s(literal -1 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 y x)))))
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(+ (* -1 x) (* y (- x 1/2)))
(-.f64 (*.f64 y (+.f64 x #s(literal -1/2 binary64))) x)
(+ (* -1 x) (* y (- x 1/2)))
(-.f64 (*.f64 y (+.f64 x #s(literal -1/2 binary64))) x)
(+ (* -1 x) (* y (- x 1/2)))
(-.f64 (*.f64 y (+.f64 x #s(literal -1/2 binary64))) x)
(* y (- x 1/2))
(*.f64 y (+.f64 x #s(literal -1/2 binary64)))
(* y (- (+ x (* -1 (/ x y))) 1/2))
(-.f64 (*.f64 y (+.f64 x #s(literal -1/2 binary64))) x)
(* y (- (+ x (* -1 (/ x y))) 1/2))
(-.f64 (*.f64 y (+.f64 x #s(literal -1/2 binary64))) x)
(* y (- (+ x (* -1 (/ x y))) 1/2))
(-.f64 (*.f64 y (+.f64 x #s(literal -1/2 binary64))) x)
(* -1 (* y (+ 1/2 (* -1 x))))
(*.f64 y (+.f64 x #s(literal -1/2 binary64)))
(* -1 (* y (+ 1/2 (+ (* -1 x) (/ x y)))))
(-.f64 (*.f64 y (+.f64 x #s(literal -1/2 binary64))) x)
(* -1 (* y (+ 1/2 (+ (* -1 x) (/ x y)))))
(-.f64 (*.f64 y (+.f64 x #s(literal -1/2 binary64))) x)
(* -1 (* y (+ 1/2 (+ (* -1 x) (/ x y)))))
(-.f64 (*.f64 y (+.f64 x #s(literal -1/2 binary64))) x)
(* x (- y 1))
(*.f64 x (+.f64 y #s(literal -1 binary64)))
(* x (- y 1))
(*.f64 x (+.f64 y #s(literal -1 binary64)))
(* x (- y 1))
(*.f64 x (+.f64 y #s(literal -1 binary64)))
(* x (- y 1))
(*.f64 x (+.f64 y #s(literal -1 binary64)))
(* x (- y 1))
(*.f64 x (+.f64 y #s(literal -1 binary64)))
(* x (- y 1))
(*.f64 x (+.f64 y #s(literal -1 binary64)))
(* x (- y 1))
(*.f64 x (+.f64 y #s(literal -1 binary64)))
(* x (- y 1))
(*.f64 x (+.f64 y #s(literal -1 binary64)))
(* x (- y 1))
(*.f64 x (+.f64 y #s(literal -1 binary64)))
(* x (- y 1))
(*.f64 x (+.f64 y #s(literal -1 binary64)))
(* x (- y 1))
(*.f64 x (+.f64 y #s(literal -1 binary64)))
(* x (- y 1))
(*.f64 x (+.f64 y #s(literal -1 binary64)))
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(+ (* -1 x) (* x y))
(*.f64 x (+.f64 y #s(literal -1 binary64)))
(+ (* -1 x) (* x y))
(*.f64 x (+.f64 y #s(literal -1 binary64)))
(+ (* -1 x) (* x y))
(*.f64 x (+.f64 y #s(literal -1 binary64)))
(* x y)
(*.f64 x y)
(* y (+ x (* -1 (/ x y))))
(*.f64 x (+.f64 y #s(literal -1 binary64)))
(* y (+ x (* -1 (/ x y))))
(*.f64 x (+.f64 y #s(literal -1 binary64)))
(* y (+ x (* -1 (/ x y))))
(*.f64 x (+.f64 y #s(literal -1 binary64)))
(* x y)
(*.f64 x y)
(* -1 (* y (+ (* -1 x) (/ x y))))
(*.f64 x (+.f64 y #s(literal -1 binary64)))
(* -1 (* y (+ (* -1 x) (/ x y))))
(*.f64 x (+.f64 y #s(literal -1 binary64)))
(* -1 (* y (+ (* -1 x) (/ x y))))
(*.f64 x (+.f64 y #s(literal -1 binary64)))
-1
#s(literal -1 binary64)
(- y 1)
(+.f64 y #s(literal -1 binary64))
(- y 1)
(+.f64 y #s(literal -1 binary64))
(- y 1)
(+.f64 y #s(literal -1 binary64))
y
(* y (- 1 (/ 1 y)))
(+.f64 y #s(literal -1 binary64))
(* y (- 1 (/ 1 y)))
(+.f64 y #s(literal -1 binary64))
(* y (- 1 (/ 1 y)))
(+.f64 y #s(literal -1 binary64))
y
(* -1 (* y (- (/ 1 y) 1)))
(+.f64 y #s(literal -1 binary64))
(* -1 (* y (- (/ 1 y) 1)))
(+.f64 y #s(literal -1 binary64))
(* -1 (* y (- (/ 1 y) 1)))
(+.f64 y #s(literal -1 binary64))
(* 1/2 y)
(*.f64 y #s(literal 1/2 binary64))
(* 1/2 y)
(*.f64 y #s(literal 1/2 binary64))
(* 1/2 y)
(*.f64 y #s(literal 1/2 binary64))
(* 1/2 y)
(*.f64 y #s(literal 1/2 binary64))
(* 1/2 y)
(*.f64 y #s(literal 1/2 binary64))
(* 1/2 y)
(*.f64 y #s(literal 1/2 binary64))
(* 1/2 y)
(*.f64 y #s(literal 1/2 binary64))
(* 1/2 y)
(*.f64 y #s(literal 1/2 binary64))
(* 1/2 y)
(*.f64 y #s(literal 1/2 binary64))
(* 1/2 y)
(*.f64 y #s(literal 1/2 binary64))
(* 1/2 y)
(*.f64 y #s(literal 1/2 binary64))
(* 1/2 y)
(*.f64 y #s(literal 1/2 binary64))

eval77.0ms (1.2%)

Compiler

Compiled 18875 to 1752 computations (90.7% saved)

prune76.0ms (1.2%)

Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New6196625
Fresh000
Picked202
Done000
Total6216627
Accuracy
100.0%
Counts
627 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶50.7%
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)
▶75.3%
(+.f64 (-.f64 (*.f64 x y) (*.f64 y #s(literal 1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64))
75.3%
(+.f64 (*.f64 y (+.f64 x #s(literal -1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64))
▶52.6%
(+.f64 (*.f64 y #s(literal -1/2 binary64)) #s(literal 918938533204673/1000000000000000 binary64))
▶50.6%
(*.f64 y (+.f64 x #s(literal -1/2 binary64)))
▶48.9%
(*.f64 x (+.f64 y #s(literal -1 binary64)))
Compiler

Compiled 92 to 70 computations (23.9% saved)

simplify77.0ms (1.2%)

Algorithm
1×egg-herbie
Localize:

Found 11 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(*.f64 y #s(literal -1/2 binary64))
✓cost-diff0
(+.f64 (*.f64 y #s(literal -1/2 binary64)) #s(literal 918938533204673/1000000000000000 binary64))
✓cost-diff0
(+.f64 x #s(literal -1/2 binary64))
✓cost-diff0
(*.f64 y (+.f64 x #s(literal -1/2 binary64)))
✓cost-diff0
(+.f64 y #s(literal -1 binary64))
✓cost-diff0
(*.f64 x (+.f64 y #s(literal -1 binary64)))
✓cost-diff0
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)
✓cost-diff0
(*.f64 y #s(literal 1/2 binary64))
✓cost-diff0
(*.f64 x y)
✓cost-diff128
(-.f64 (*.f64 x y) (*.f64 y #s(literal 1/2 binary64)))
✓cost-diff128
(+.f64 (-.f64 (*.f64 x y) (*.f64 y #s(literal 1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64))
Rules
2056×sum5-define
1298×sum3-define
1112×fnmadd-define
888×sum4-define
738×fmsub-define
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01762
14659
29358
314757
423357
541857
679157
7189857
8407357
9463557
10473357
11477557
12478157
0478157
Stop Event
1×iter limit
1×saturated
Calls
Call 1
Inputs
(+ (- (* x y) (* y 1/2)) 918938533204673/1000000000000000)
(- (* x y) (* y 1/2))
(* x y)
x
y
(* y 1/2)
1/2
918938533204673/1000000000000000
(- 918938533204673/1000000000000000 x)
918938533204673/1000000000000000
x
(* x (+ y -1))
x
(+ y -1)
y
-1
(* y (+ x -1/2))
y
(+ x -1/2)
x
-1/2
(+ (* y -1/2) 918938533204673/1000000000000000)
(* y -1/2)
y
-1/2
918938533204673/1000000000000000
Outputs
(+ (- (* x y) (* y 1/2)) 918938533204673/1000000000000000)
(+.f64 (*.f64 y (+.f64 x #s(literal -1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64))
(- (* x y) (* y 1/2))
(*.f64 y (+.f64 x #s(literal -1/2 binary64)))
(* x y)
(*.f64 x y)
x
y
(* y 1/2)
(*.f64 y #s(literal 1/2 binary64))
1/2
#s(literal 1/2 binary64)
918938533204673/1000000000000000
#s(literal 918938533204673/1000000000000000 binary64)
(- 918938533204673/1000000000000000 x)
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)
918938533204673/1000000000000000
#s(literal 918938533204673/1000000000000000 binary64)
x
(* x (+ y -1))
(*.f64 x (+.f64 y #s(literal -1 binary64)))
x
(+ y -1)
(+.f64 y #s(literal -1 binary64))
y
-1
#s(literal -1 binary64)
(* y (+ x -1/2))
(*.f64 y (+.f64 x #s(literal -1/2 binary64)))
y
(+ x -1/2)
(+.f64 x #s(literal -1/2 binary64))
x
-1/2
#s(literal -1/2 binary64)
(+ (* y -1/2) 918938533204673/1000000000000000)
(+.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 y #s(literal -1/2 binary64)))
(* y -1/2)
(*.f64 y #s(literal -1/2 binary64))
y
-1/2
#s(literal -1/2 binary64)
918938533204673/1000000000000000
#s(literal 918938533204673/1000000000000000 binary64)

localize97.0ms (1.5%)

Localize:

Found 11 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(+.f64 (*.f64 y #s(literal -1/2 binary64)) #s(literal 918938533204673/1000000000000000 binary64))
✓accuracy100.0%
(*.f64 y #s(literal -1/2 binary64))
✓accuracy100.0%
(+.f64 x #s(literal -1/2 binary64))
✓accuracy100.0%
(*.f64 y (+.f64 x #s(literal -1/2 binary64)))
✓accuracy100.0%
(+.f64 y #s(literal -1 binary64))
✓accuracy100.0%
(*.f64 x (+.f64 y #s(literal -1 binary64)))
✓accuracy100.0%
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)
✓accuracy100.0%
(*.f64 y #s(literal 1/2 binary64))
✓accuracy100.0%
(*.f64 x y)
✓accuracy100.0%
(-.f64 (*.f64 x y) (*.f64 y #s(literal 1/2 binary64)))
✓accuracy100.0%
(+.f64 (-.f64 (*.f64 x y) (*.f64 y #s(literal 1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64))
Results
76.0ms256×0valid
Compiler

Compiled 67 to 18 computations (73.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 24.0ms
ival-mult: 10.0ms (42% of total)
ival-add: 5.0ms (21% of total)
...c/correct-round.rkt:119:19: 5.0ms (21% of total)
ival-sub: 3.0ms (12.6% of total)
const: 1.0ms (4.2% of total)
backward-pass: 0.0ms (0% of total)

series7.0ms (0.1%)

Counts
11 → 192
Calls
Call 1
Inputs
#<alt (+ (- (* x y) (* y 1/2)) 918938533204673/1000000000000000)>
#<alt (- (* x y) (* y 1/2))>
#<alt (* x y)>
#<alt (* y 1/2)>
#<alt (- 918938533204673/1000000000000000 x)>
#<alt (* x (+ y -1))>
#<alt (+ y -1)>
#<alt (* y (+ x -1/2))>
#<alt (+ x -1/2)>
#<alt (+ (* y -1/2) 918938533204673/1000000000000000)>
#<alt (* y -1/2)>
Outputs
#<alt (- 918938533204673/1000000000000000 (* 1/2 y))>
#<alt (- (+ 918938533204673/1000000000000000 (* x y)) (* 1/2 y))>
#<alt (- (+ 918938533204673/1000000000000000 (* x y)) (* 1/2 y))>
#<alt (- (+ 918938533204673/1000000000000000 (* x y)) (* 1/2 y))>
#<alt (* x y)>
#<alt (* x (- (+ y (* 918938533204673/1000000000000000 (/ 1 x))) (* 1/2 (/ y x))))>
#<alt (* x (- (+ y (* 918938533204673/1000000000000000 (/ 1 x))) (* 1/2 (/ y x))))>
#<alt (* x (- (+ y (* 918938533204673/1000000000000000 (/ 1 x))) (* 1/2 (/ y x))))>
#<alt (* x y)>
#<alt (* -1 (* x (+ (* -1 y) (* -1 (/ (- 918938533204673/1000000000000000 (* 1/2 y)) x)))))>
#<alt (* -1 (* x (+ (* -1 y) (* -1 (/ (- 918938533204673/1000000000000000 (* 1/2 y)) x)))))>
#<alt (* -1 (* x (+ (* -1 y) (* -1 (/ (- 918938533204673/1000000000000000 (* 1/2 y)) x)))))>
#<alt 918938533204673/1000000000000000>
#<alt (+ 918938533204673/1000000000000000 (* y (- x 1/2)))>
#<alt (+ 918938533204673/1000000000000000 (* y (- x 1/2)))>
#<alt (+ 918938533204673/1000000000000000 (* y (- x 1/2)))>
#<alt (* y (- x 1/2))>
#<alt (* y (- (+ x (* 918938533204673/1000000000000000 (/ 1 y))) 1/2))>
#<alt (* y (- (+ x (* 918938533204673/1000000000000000 (/ 1 y))) 1/2))>
#<alt (* y (- (+ x (* 918938533204673/1000000000000000 (/ 1 y))) 1/2))>
#<alt (* -1 (* y (+ 1/2 (* -1 x))))>
#<alt (* -1 (* y (- (+ 1/2 (* -1 x)) (* 918938533204673/1000000000000000 (/ 1 y)))))>
#<alt (* -1 (* y (- (+ 1/2 (* -1 x)) (* 918938533204673/1000000000000000 (/ 1 y)))))>
#<alt (* -1 (* y (- (+ 1/2 (* -1 x)) (* 918938533204673/1000000000000000 (/ 1 y)))))>
#<alt (* -1/2 y)>
#<alt (- (* x y) (* 1/2 y))>
#<alt (- (* x y) (* 1/2 y))>
#<alt (- (* x y) (* 1/2 y))>
#<alt (* x y)>
#<alt (* x (+ y (* -1/2 (/ y x))))>
#<alt (* x (+ y (* -1/2 (/ y x))))>
#<alt (* x (+ y (* -1/2 (/ y x))))>
#<alt (* x y)>
#<alt (* -1 (* x (+ (* -1 y) (* 1/2 (/ y x)))))>
#<alt (* -1 (* x (+ (* -1 y) (* 1/2 (/ y x)))))>
#<alt (* -1 (* x (+ (* -1 y) (* 1/2 (/ y x)))))>
#<alt (* y (- x 1/2))>
#<alt (* y (- x 1/2))>
#<alt (* y (- x 1/2))>
#<alt (* y (- x 1/2))>
#<alt (* y (- x 1/2))>
#<alt (* y (- x 1/2))>
#<alt (* y (- x 1/2))>
#<alt (* y (- x 1/2))>
#<alt (* -1 (* y (+ 1/2 (* -1 x))))>
#<alt (* -1 (* y (+ 1/2 (* -1 x))))>
#<alt (* -1 (* y (+ 1/2 (* -1 x))))>
#<alt (* -1 (* y (+ 1/2 (* -1 x))))>
#<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 (* 1/2 y)>
#<alt (* 1/2 y)>
#<alt (* 1/2 y)>
#<alt (* 1/2 y)>
#<alt (* 1/2 y)>
#<alt (* 1/2 y)>
#<alt (* 1/2 y)>
#<alt (* 1/2 y)>
#<alt (* 1/2 y)>
#<alt (* 1/2 y)>
#<alt (* 1/2 y)>
#<alt (* 1/2 y)>
#<alt 918938533204673/1000000000000000>
#<alt (+ 918938533204673/1000000000000000 (* -1 x))>
#<alt (+ 918938533204673/1000000000000000 (* -1 x))>
#<alt (+ 918938533204673/1000000000000000 (* -1 x))>
#<alt (* -1 x)>
#<alt (* x (- (* 918938533204673/1000000000000000 (/ 1 x)) 1))>
#<alt (* x (- (* 918938533204673/1000000000000000 (/ 1 x)) 1))>
#<alt (* x (- (* 918938533204673/1000000000000000 (/ 1 x)) 1))>
#<alt (* -1 x)>
#<alt (* -1 (* x (- 1 (* 918938533204673/1000000000000000 (/ 1 x)))))>
#<alt (* -1 (* x (- 1 (* 918938533204673/1000000000000000 (/ 1 x)))))>
#<alt (* -1 (* x (- 1 (* 918938533204673/1000000000000000 (/ 1 x)))))>
#<alt (* x (- y 1))>
#<alt (* x (- y 1))>
#<alt (* x (- y 1))>
#<alt (* x (- y 1))>
#<alt (* x (- y 1))>
#<alt (* x (- y 1))>
#<alt (* x (- y 1))>
#<alt (* x (- y 1))>
#<alt (* x (- y 1))>
#<alt (* x (- y 1))>
#<alt (* x (- y 1))>
#<alt (* x (- y 1))>
#<alt (* -1 x)>
#<alt (+ (* -1 x) (* x y))>
#<alt (+ (* -1 x) (* x y))>
#<alt (+ (* -1 x) (* x y))>
#<alt (* x y)>
#<alt (* y (+ x (* -1 (/ x y))))>
#<alt (* y (+ x (* -1 (/ x y))))>
#<alt (* y (+ x (* -1 (/ x y))))>
#<alt (* x y)>
#<alt (* -1 (* y (+ (* -1 x) (/ x y))))>
#<alt (* -1 (* y (+ (* -1 x) (/ x y))))>
#<alt (* -1 (* y (+ (* -1 x) (/ x y))))>
#<alt -1>
#<alt (- y 1)>
#<alt (- y 1)>
#<alt (- y 1)>
#<alt y>
#<alt (* y (- 1 (/ 1 y)))>
#<alt (* y (- 1 (/ 1 y)))>
#<alt (* y (- 1 (/ 1 y)))>
#<alt y>
#<alt (* -1 (* y (- (/ 1 y) 1)))>
#<alt (* -1 (* y (- (/ 1 y) 1)))>
#<alt (* -1 (* y (- (/ 1 y) 1)))>
#<alt (* y (- x 1/2))>
#<alt (* y (- x 1/2))>
#<alt (* y (- x 1/2))>
#<alt (* y (- x 1/2))>
#<alt (* y (- x 1/2))>
#<alt (* y (- x 1/2))>
#<alt (* y (- x 1/2))>
#<alt (* y (- x 1/2))>
#<alt (* y (- x 1/2))>
#<alt (* y (- x 1/2))>
#<alt (* y (- x 1/2))>
#<alt (* y (- x 1/2))>
#<alt (* -1/2 y)>
#<alt (+ (* -1/2 y) (* x y))>
#<alt (+ (* -1/2 y) (* x y))>
#<alt (+ (* -1/2 y) (* x y))>
#<alt (* x y)>
#<alt (* x (+ y (* -1/2 (/ y x))))>
#<alt (* x (+ y (* -1/2 (/ y x))))>
#<alt (* x (+ y (* -1/2 (/ y x))))>
#<alt (* x y)>
#<alt (* -1 (* x (+ (* -1 y) (* 1/2 (/ y x)))))>
#<alt (* -1 (* x (+ (* -1 y) (* 1/2 (/ y x)))))>
#<alt (* -1 (* x (+ (* -1 y) (* 1/2 (/ y x)))))>
#<alt -1/2>
#<alt (- x 1/2)>
#<alt (- x 1/2)>
#<alt (- x 1/2)>
#<alt x>
#<alt (* x (- 1 (* 1/2 (/ 1 x))))>
#<alt (* x (- 1 (* 1/2 (/ 1 x))))>
#<alt (* x (- 1 (* 1/2 (/ 1 x))))>
#<alt x>
#<alt (* -1 (* x (- (* 1/2 (/ 1 x)) 1)))>
#<alt (* -1 (* x (- (* 1/2 (/ 1 x)) 1)))>
#<alt (* -1 (* x (- (* 1/2 (/ 1 x)) 1)))>
#<alt 918938533204673/1000000000000000>
#<alt (+ 918938533204673/1000000000000000 (* -1/2 y))>
#<alt (+ 918938533204673/1000000000000000 (* -1/2 y))>
#<alt (+ 918938533204673/1000000000000000 (* -1/2 y))>
#<alt (* -1/2 y)>
#<alt (* y (- (* 918938533204673/1000000000000000 (/ 1 y)) 1/2))>
#<alt (* y (- (* 918938533204673/1000000000000000 (/ 1 y)) 1/2))>
#<alt (* y (- (* 918938533204673/1000000000000000 (/ 1 y)) 1/2))>
#<alt (* -1/2 y)>
#<alt (* -1 (* y (- 1/2 (* 918938533204673/1000000000000000 (/ 1 y)))))>
#<alt (* -1 (* y (- 1/2 (* 918938533204673/1000000000000000 (/ 1 y)))))>
#<alt (* -1 (* y (- 1/2 (* 918938533204673/1000000000000000 (/ 1 y)))))>
#<alt (* -1/2 y)>
#<alt (* -1/2 y)>
#<alt (* -1/2 y)>
#<alt (* -1/2 y)>
#<alt (* -1/2 y)>
#<alt (* -1/2 y)>
#<alt (* -1/2 y)>
#<alt (* -1/2 y)>
#<alt (* -1/2 y)>
#<alt (* -1/2 y)>
#<alt (* -1/2 y)>
#<alt (* -1/2 y)>
Calls

48 calls:

TimeVariablePointExpression
2.0ms
y
@0
(* y -1/2)
1.0ms
x
@inf
(- (* x y) (* y 1/2))
0.0ms
y
@inf
(- (* x y) (* y 1/2))
0.0ms
x
@-inf
(+ (- (* x y) (* y 1/2)) 918938533204673/1000000000000000)
0.0ms
y
@-inf
(+ (- (* x y) (* y 1/2)) 918938533204673/1000000000000000)

rewrite320.0ms (4.9%)

Algorithm
1×batch-egg-rewrite
Rules
4034×*-lowering-*.f32
4034×*-lowering-*.f64
3858×/-lowering-/.f32
3858×/-lowering-/.f64
1772×+-lowering-+.f64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01747
112544
299843
0835743
Stop Event
1×iter limit
1×node limit
Counts
11 → 457
Calls
Call 1
Inputs
(+ (- (* x y) (* y 1/2)) 918938533204673/1000000000000000)
(- (* x y) (* y 1/2))
(* x y)
(* y 1/2)
(- 918938533204673/1000000000000000 x)
(* x (+ y -1))
(+ y -1)
(* y (+ x -1/2))
(+ x -1/2)
(+ (* y -1/2) 918938533204673/1000000000000000)
(* y -1/2)
Outputs
(+.f64 (*.f64 x y) (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 y #s(literal -1/2 binary64))))
(+.f64 (*.f64 x y) (neg.f64 (+.f64 (*.f64 y #s(literal 1/2 binary64)) #s(literal -918938533204673/1000000000000000 binary64))))
(+.f64 (*.f64 y (+.f64 x #s(literal -1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64))
(+.f64 (*.f64 y (+.f64 x #s(literal -1/2 binary64))) (+.f64 (+.f64 (*.f64 y #s(literal -1/2 binary64)) (*.f64 y #s(literal 1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64)))
(+.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 y (+.f64 x #s(literal -1/2 binary64))))
(+.f64 (+.f64 (*.f64 y (+.f64 x #s(literal -1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64)) (+.f64 (*.f64 y #s(literal -1/2 binary64)) (*.f64 y #s(literal 1/2 binary64))))
(+.f64 (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 x y)) (*.f64 y #s(literal -1/2 binary64)))
(-.f64 (*.f64 x y) (+.f64 (*.f64 y #s(literal 1/2 binary64)) #s(literal -918938533204673/1000000000000000 binary64)))
(-.f64 (/.f64 (*.f64 (*.f64 y (+.f64 x #s(literal -1/2 binary64))) (*.f64 y (+.f64 x #s(literal -1/2 binary64)))) (+.f64 (*.f64 y (+.f64 x #s(literal -1/2 binary64))) #s(literal -918938533204673/1000000000000000 binary64))) (/.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (+.f64 (*.f64 y (+.f64 x #s(literal -1/2 binary64))) #s(literal -918938533204673/1000000000000000 binary64))))
(-.f64 (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 x y)) (*.f64 y #s(literal 1/2 binary64)))
(-.f64 (/.f64 (*.f64 (*.f64 x y) (*.f64 x (*.f64 y (*.f64 x y)))) (+.f64 (*.f64 x (*.f64 y (*.f64 x y))) (+.f64 (*.f64 (+.f64 (*.f64 y #s(literal 1/2 binary64)) #s(literal -918938533204673/1000000000000000 binary64)) (+.f64 (*.f64 y #s(literal 1/2 binary64)) #s(literal -918938533204673/1000000000000000 binary64))) (*.f64 (*.f64 x y) (+.f64 (*.f64 y #s(literal 1/2 binary64)) #s(literal -918938533204673/1000000000000000 binary64)))))) (/.f64 (*.f64 (+.f64 (*.f64 y #s(literal 1/2 binary64)) #s(literal -918938533204673/1000000000000000 binary64)) (*.f64 (+.f64 (*.f64 y #s(literal 1/2 binary64)) #s(literal -918938533204673/1000000000000000 binary64)) (+.f64 (*.f64 y #s(literal 1/2 binary64)) #s(literal -918938533204673/1000000000000000 binary64)))) (+.f64 (*.f64 x (*.f64 y (*.f64 x y))) (+.f64 (*.f64 (+.f64 (*.f64 y #s(literal 1/2 binary64)) #s(literal -918938533204673/1000000000000000 binary64)) (+.f64 (*.f64 y #s(literal 1/2 binary64)) #s(literal -918938533204673/1000000000000000 binary64))) (*.f64 (*.f64 x y) (+.f64 (*.f64 y #s(literal 1/2 binary64)) #s(literal -918938533204673/1000000000000000 binary64)))))))
(-.f64 (/.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 y (+.f64 x #s(literal -1/2 binary64))))) (/.f64 (*.f64 (*.f64 y (+.f64 x #s(literal -1/2 binary64))) (*.f64 y (+.f64 x #s(literal -1/2 binary64)))) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 y (+.f64 x #s(literal -1/2 binary64))))))
(-.f64 (/.f64 (*.f64 x (*.f64 y (*.f64 x y))) (+.f64 (*.f64 x y) (+.f64 (*.f64 y #s(literal 1/2 binary64)) #s(literal -918938533204673/1000000000000000 binary64)))) (/.f64 (*.f64 (+.f64 (*.f64 y #s(literal 1/2 binary64)) #s(literal -918938533204673/1000000000000000 binary64)) (+.f64 (*.f64 y #s(literal 1/2 binary64)) #s(literal -918938533204673/1000000000000000 binary64))) (+.f64 (*.f64 x y) (+.f64 (*.f64 y #s(literal 1/2 binary64)) #s(literal -918938533204673/1000000000000000 binary64)))))
(fma.f64 x y (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 y #s(literal -1/2 binary64))))
(fma.f64 x y (neg.f64 (+.f64 (*.f64 y #s(literal 1/2 binary64)) #s(literal -918938533204673/1000000000000000 binary64))))
(fma.f64 y x (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 y #s(literal -1/2 binary64))))
(fma.f64 y x (neg.f64 (+.f64 (*.f64 y #s(literal 1/2 binary64)) #s(literal -918938533204673/1000000000000000 binary64))))
(fma.f64 y (+.f64 x #s(literal -1/2 binary64)) #s(literal 918938533204673/1000000000000000 binary64))
(fma.f64 y (+.f64 x #s(literal -1/2 binary64)) (+.f64 (+.f64 (*.f64 y #s(literal -1/2 binary64)) (*.f64 y #s(literal 1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64)))
(fma.f64 y (-.f64 x #s(literal 1/2 binary64)) #s(literal 918938533204673/1000000000000000 binary64))
(fma.f64 y (-.f64 x #s(literal 1/2 binary64)) (+.f64 (+.f64 (*.f64 y #s(literal -1/2 binary64)) (*.f64 y #s(literal 1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64)))
(fma.f64 (+.f64 x #s(literal -1/2 binary64)) y #s(literal 918938533204673/1000000000000000 binary64))
(fma.f64 (+.f64 x #s(literal -1/2 binary64)) y (+.f64 (+.f64 (*.f64 y #s(literal -1/2 binary64)) (*.f64 y #s(literal 1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64)))
(fma.f64 (+.f64 #s(literal 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 binary64) (*.f64 (*.f64 y (+.f64 x #s(literal -1/2 binary64))) (*.f64 (*.f64 y (+.f64 x #s(literal -1/2 binary64))) (*.f64 y (+.f64 x #s(literal -1/2 binary64)))))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (*.f64 y (+.f64 x #s(literal -1/2 binary64))) (*.f64 y (+.f64 x #s(literal -1/2 binary64)))) (-.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (*.f64 (*.f64 y (+.f64 x #s(literal -1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64))))) (+.f64 (*.f64 y #s(literal -1/2 binary64)) (*.f64 y #s(literal 1/2 binary64))))
(fma.f64 (+.f64 (*.f64 (*.f64 x y) (*.f64 x (*.f64 y (*.f64 x y)))) (*.f64 #s(literal -1/8 binary64) (*.f64 y (*.f64 y y)))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x (*.f64 y (*.f64 x y))) (*.f64 (*.f64 y #s(literal 1/2 binary64)) (*.f64 y (+.f64 x #s(literal 1/2 binary64)))))) #s(literal 918938533204673/1000000000000000 binary64))
(fma.f64 (+.f64 (*.f64 (*.f64 x y) (*.f64 x (*.f64 y (*.f64 x y)))) (*.f64 #s(literal -1/8 binary64) (*.f64 y (*.f64 y y)))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x (*.f64 y (*.f64 x y))) (*.f64 (*.f64 y #s(literal 1/2 binary64)) (*.f64 y (+.f64 x #s(literal 1/2 binary64)))))) (+.f64 (+.f64 (*.f64 y #s(literal -1/2 binary64)) (*.f64 y #s(literal 1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64)))
(fma.f64 (+.f64 (*.f64 (*.f64 y (+.f64 x #s(literal -1/2 binary64))) (*.f64 y (+.f64 x #s(literal -1/2 binary64)))) #s(literal -844448027808355901771309036929/1000000000000000000000000000000 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 y (+.f64 x #s(literal -1/2 binary64))) #s(literal -918938533204673/1000000000000000 binary64))) (+.f64 (*.f64 y #s(literal -1/2 binary64)) (*.f64 y #s(literal 1/2 binary64))))
(fma.f64 (*.f64 (*.f64 y (+.f64 x #s(literal 1/2 binary64))) (*.f64 y (+.f64 x #s(literal -1/2 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 y (+.f64 x #s(literal 1/2 binary64)))) #s(literal 918938533204673/1000000000000000 binary64))
(fma.f64 (*.f64 (*.f64 y (+.f64 x #s(literal 1/2 binary64))) (*.f64 y (+.f64 x #s(literal -1/2 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 y (+.f64 x #s(literal 1/2 binary64)))) (+.f64 (+.f64 (*.f64 y #s(literal -1/2 binary64)) (*.f64 y #s(literal 1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 y (+.f64 x #s(literal -1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 y (+.f64 x #s(literal -1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64))))
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(-.f64 #s(literal 0 binary64) (*.f64 y #s(literal 1/2 binary64)))
(neg.f64 (*.f64 y #s(literal 1/2 binary64)))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 #s(literal -1/8 binary64) (*.f64 y (*.f64 y y)))) (+.f64 #s(literal 0 binary64) (+.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 y y)) (*.f64 #s(literal 0 binary64) (*.f64 y #s(literal 1/2 binary64))))))
(*.f64 y #s(literal -1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 0 binary64) y))
(*.f64 #s(literal -1 binary64) (*.f64 y #s(literal 1/2 binary64)))
(*.f64 #s(literal -1/2 binary64) y)
(*.f64 (-.f64 #s(literal 0 binary64) y) #s(literal 1/2 binary64))

simplify180.0ms (2.8%)

Algorithm
1×egg-herbie
Rules
1514×fma-define
1500×sum5-define
1464×*-lowering-*.f32
1464×*-lowering-*.f64
1300×fnmadd-define
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
082786
1260749
2779728
32140728
46557728
08232728
Stop Event
1×iter limit
1×node limit
Counts
192 → 192
Calls
Call 1
Inputs
(- 918938533204673/1000000000000000 (* 1/2 y))
(- (+ 918938533204673/1000000000000000 (* x y)) (* 1/2 y))
(- (+ 918938533204673/1000000000000000 (* x y)) (* 1/2 y))
(- (+ 918938533204673/1000000000000000 (* x y)) (* 1/2 y))
(* x y)
(* x (- (+ y (* 918938533204673/1000000000000000 (/ 1 x))) (* 1/2 (/ y x))))
(* x (- (+ y (* 918938533204673/1000000000000000 (/ 1 x))) (* 1/2 (/ y x))))
(* x (- (+ y (* 918938533204673/1000000000000000 (/ 1 x))) (* 1/2 (/ y x))))
(* x y)
(* -1 (* x (+ (* -1 y) (* -1 (/ (- 918938533204673/1000000000000000 (* 1/2 y)) x)))))
(* -1 (* x (+ (* -1 y) (* -1 (/ (- 918938533204673/1000000000000000 (* 1/2 y)) x)))))
(* -1 (* x (+ (* -1 y) (* -1 (/ (- 918938533204673/1000000000000000 (* 1/2 y)) x)))))
918938533204673/1000000000000000
(+ 918938533204673/1000000000000000 (* y (- x 1/2)))
(+ 918938533204673/1000000000000000 (* y (- x 1/2)))
(+ 918938533204673/1000000000000000 (* y (- x 1/2)))
(* y (- x 1/2))
(* y (- (+ x (* 918938533204673/1000000000000000 (/ 1 y))) 1/2))
(* y (- (+ x (* 918938533204673/1000000000000000 (/ 1 y))) 1/2))
(* y (- (+ x (* 918938533204673/1000000000000000 (/ 1 y))) 1/2))
(* -1 (* y (+ 1/2 (* -1 x))))
(* -1 (* y (- (+ 1/2 (* -1 x)) (* 918938533204673/1000000000000000 (/ 1 y)))))
(* -1 (* y (- (+ 1/2 (* -1 x)) (* 918938533204673/1000000000000000 (/ 1 y)))))
(* -1 (* y (- (+ 1/2 (* -1 x)) (* 918938533204673/1000000000000000 (/ 1 y)))))
(* -1/2 y)
(- (* x y) (* 1/2 y))
(- (* x y) (* 1/2 y))
(- (* x y) (* 1/2 y))
(* x y)
(* x (+ y (* -1/2 (/ y x))))
(* x (+ y (* -1/2 (/ y x))))
(* x (+ y (* -1/2 (/ y x))))
(* x y)
(* -1 (* x (+ (* -1 y) (* 1/2 (/ y x)))))
(* -1 (* x (+ (* -1 y) (* 1/2 (/ y x)))))
(* -1 (* x (+ (* -1 y) (* 1/2 (/ y x)))))
(* y (- x 1/2))
(* y (- x 1/2))
(* y (- x 1/2))
(* y (- x 1/2))
(* y (- x 1/2))
(* y (- x 1/2))
(* y (- x 1/2))
(* y (- x 1/2))
(* -1 (* y (+ 1/2 (* -1 x))))
(* -1 (* y (+ 1/2 (* -1 x))))
(* -1 (* y (+ 1/2 (* -1 x))))
(* -1 (* y (+ 1/2 (* -1 x))))
(* 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)
(* 1/2 y)
(* 1/2 y)
(* 1/2 y)
(* 1/2 y)
(* 1/2 y)
(* 1/2 y)
(* 1/2 y)
(* 1/2 y)
(* 1/2 y)
(* 1/2 y)
(* 1/2 y)
(* 1/2 y)
918938533204673/1000000000000000
(+ 918938533204673/1000000000000000 (* -1 x))
(+ 918938533204673/1000000000000000 (* -1 x))
(+ 918938533204673/1000000000000000 (* -1 x))
(* -1 x)
(* x (- (* 918938533204673/1000000000000000 (/ 1 x)) 1))
(* x (- (* 918938533204673/1000000000000000 (/ 1 x)) 1))
(* x (- (* 918938533204673/1000000000000000 (/ 1 x)) 1))
(* -1 x)
(* -1 (* x (- 1 (* 918938533204673/1000000000000000 (/ 1 x)))))
(* -1 (* x (- 1 (* 918938533204673/1000000000000000 (/ 1 x)))))
(* -1 (* x (- 1 (* 918938533204673/1000000000000000 (/ 1 x)))))
(* 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))
(* -1 x)
(+ (* -1 x) (* x y))
(+ (* -1 x) (* x y))
(+ (* -1 x) (* x y))
(* x y)
(* y (+ x (* -1 (/ x y))))
(* y (+ x (* -1 (/ x y))))
(* y (+ x (* -1 (/ x y))))
(* x y)
(* -1 (* y (+ (* -1 x) (/ x y))))
(* -1 (* y (+ (* -1 x) (/ x y))))
(* -1 (* y (+ (* -1 x) (/ x y))))
-1
(- y 1)
(- y 1)
(- y 1)
y
(* y (- 1 (/ 1 y)))
(* y (- 1 (/ 1 y)))
(* y (- 1 (/ 1 y)))
y
(* -1 (* y (- (/ 1 y) 1)))
(* -1 (* y (- (/ 1 y) 1)))
(* -1 (* y (- (/ 1 y) 1)))
(* y (- x 1/2))
(* y (- x 1/2))
(* y (- x 1/2))
(* y (- x 1/2))
(* y (- x 1/2))
(* y (- x 1/2))
(* y (- x 1/2))
(* y (- x 1/2))
(* y (- x 1/2))
(* y (- x 1/2))
(* y (- x 1/2))
(* y (- x 1/2))
(* -1/2 y)
(+ (* -1/2 y) (* x y))
(+ (* -1/2 y) (* x y))
(+ (* -1/2 y) (* x y))
(* x y)
(* x (+ y (* -1/2 (/ y x))))
(* x (+ y (* -1/2 (/ y x))))
(* x (+ y (* -1/2 (/ y x))))
(* x y)
(* -1 (* x (+ (* -1 y) (* 1/2 (/ y x)))))
(* -1 (* x (+ (* -1 y) (* 1/2 (/ y x)))))
(* -1 (* x (+ (* -1 y) (* 1/2 (/ y x)))))
-1/2
(- x 1/2)
(- x 1/2)
(- x 1/2)
x
(* x (- 1 (* 1/2 (/ 1 x))))
(* x (- 1 (* 1/2 (/ 1 x))))
(* x (- 1 (* 1/2 (/ 1 x))))
x
(* -1 (* x (- (* 1/2 (/ 1 x)) 1)))
(* -1 (* x (- (* 1/2 (/ 1 x)) 1)))
(* -1 (* x (- (* 1/2 (/ 1 x)) 1)))
918938533204673/1000000000000000
(+ 918938533204673/1000000000000000 (* -1/2 y))
(+ 918938533204673/1000000000000000 (* -1/2 y))
(+ 918938533204673/1000000000000000 (* -1/2 y))
(* -1/2 y)
(* y (- (* 918938533204673/1000000000000000 (/ 1 y)) 1/2))
(* y (- (* 918938533204673/1000000000000000 (/ 1 y)) 1/2))
(* y (- (* 918938533204673/1000000000000000 (/ 1 y)) 1/2))
(* -1/2 y)
(* -1 (* y (- 1/2 (* 918938533204673/1000000000000000 (/ 1 y)))))
(* -1 (* y (- 1/2 (* 918938533204673/1000000000000000 (/ 1 y)))))
(* -1 (* y (- 1/2 (* 918938533204673/1000000000000000 (/ 1 y)))))
(* -1/2 y)
(* -1/2 y)
(* -1/2 y)
(* -1/2 y)
(* -1/2 y)
(* -1/2 y)
(* -1/2 y)
(* -1/2 y)
(* -1/2 y)
(* -1/2 y)
(* -1/2 y)
(* -1/2 y)
Outputs
(- 918938533204673/1000000000000000 (* 1/2 y))
(+.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 y #s(literal -1/2 binary64)))
(- (+ 918938533204673/1000000000000000 (* x y)) (* 1/2 y))
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 y (-.f64 #s(literal 1/2 binary64) x)))
(- (+ 918938533204673/1000000000000000 (* x y)) (* 1/2 y))
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 y (-.f64 #s(literal 1/2 binary64) x)))
(- (+ 918938533204673/1000000000000000 (* x y)) (* 1/2 y))
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 y (-.f64 #s(literal 1/2 binary64) x)))
(* x y)
(*.f64 y x)
(* x (- (+ y (* 918938533204673/1000000000000000 (/ 1 x))) (* 1/2 (/ y x))))
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 y (-.f64 #s(literal 1/2 binary64) x)))
(* x (- (+ y (* 918938533204673/1000000000000000 (/ 1 x))) (* 1/2 (/ y x))))
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 y (-.f64 #s(literal 1/2 binary64) x)))
(* x (- (+ y (* 918938533204673/1000000000000000 (/ 1 x))) (* 1/2 (/ y x))))
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 y (-.f64 #s(literal 1/2 binary64) x)))
(* x y)
(*.f64 y x)
(* -1 (* x (+ (* -1 y) (* -1 (/ (- 918938533204673/1000000000000000 (* 1/2 y)) x)))))
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 y (-.f64 #s(literal 1/2 binary64) x)))
(* -1 (* x (+ (* -1 y) (* -1 (/ (- 918938533204673/1000000000000000 (* 1/2 y)) x)))))
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 y (-.f64 #s(literal 1/2 binary64) x)))
(* -1 (* x (+ (* -1 y) (* -1 (/ (- 918938533204673/1000000000000000 (* 1/2 y)) x)))))
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 y (-.f64 #s(literal 1/2 binary64) x)))
918938533204673/1000000000000000
#s(literal 918938533204673/1000000000000000 binary64)
(+ 918938533204673/1000000000000000 (* y (- x 1/2)))
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 y (-.f64 #s(literal 1/2 binary64) x)))
(+ 918938533204673/1000000000000000 (* y (- x 1/2)))
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 y (-.f64 #s(literal 1/2 binary64) x)))
(+ 918938533204673/1000000000000000 (* y (- x 1/2)))
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 y (-.f64 #s(literal 1/2 binary64) x)))
(* y (- x 1/2))
(*.f64 y (+.f64 x #s(literal -1/2 binary64)))
(* y (- (+ x (* 918938533204673/1000000000000000 (/ 1 y))) 1/2))
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 y (-.f64 #s(literal 1/2 binary64) x)))
(* y (- (+ x (* 918938533204673/1000000000000000 (/ 1 y))) 1/2))
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 y (-.f64 #s(literal 1/2 binary64) x)))
(* y (- (+ x (* 918938533204673/1000000000000000 (/ 1 y))) 1/2))
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 y (-.f64 #s(literal 1/2 binary64) x)))
(* -1 (* y (+ 1/2 (* -1 x))))
(*.f64 y (+.f64 x #s(literal -1/2 binary64)))
(* -1 (* y (- (+ 1/2 (* -1 x)) (* 918938533204673/1000000000000000 (/ 1 y)))))
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 y (-.f64 #s(literal 1/2 binary64) x)))
(* -1 (* y (- (+ 1/2 (* -1 x)) (* 918938533204673/1000000000000000 (/ 1 y)))))
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 y (-.f64 #s(literal 1/2 binary64) x)))
(* -1 (* y (- (+ 1/2 (* -1 x)) (* 918938533204673/1000000000000000 (/ 1 y)))))
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 y (-.f64 #s(literal 1/2 binary64) x)))
(* -1/2 y)
(*.f64 y #s(literal -1/2 binary64))
(- (* x y) (* 1/2 y))
(*.f64 y (+.f64 x #s(literal -1/2 binary64)))
(- (* x y) (* 1/2 y))
(*.f64 y (+.f64 x #s(literal -1/2 binary64)))
(- (* x y) (* 1/2 y))
(*.f64 y (+.f64 x #s(literal -1/2 binary64)))
(* x y)
(*.f64 y x)
(* x (+ y (* -1/2 (/ y x))))
(*.f64 y (+.f64 x #s(literal -1/2 binary64)))
(* x (+ y (* -1/2 (/ y x))))
(*.f64 y (+.f64 x #s(literal -1/2 binary64)))
(* x (+ y (* -1/2 (/ y x))))
(*.f64 y (+.f64 x #s(literal -1/2 binary64)))
(* x y)
(*.f64 y x)
(* -1 (* x (+ (* -1 y) (* 1/2 (/ y x)))))
(*.f64 y (+.f64 x #s(literal -1/2 binary64)))
(* -1 (* x (+ (* -1 y) (* 1/2 (/ y x)))))
(*.f64 y (+.f64 x #s(literal -1/2 binary64)))
(* -1 (* x (+ (* -1 y) (* 1/2 (/ y x)))))
(*.f64 y (+.f64 x #s(literal -1/2 binary64)))
(* y (- x 1/2))
(*.f64 y (+.f64 x #s(literal -1/2 binary64)))
(* y (- x 1/2))
(*.f64 y (+.f64 x #s(literal -1/2 binary64)))
(* y (- x 1/2))
(*.f64 y (+.f64 x #s(literal -1/2 binary64)))
(* y (- x 1/2))
(*.f64 y (+.f64 x #s(literal -1/2 binary64)))
(* y (- x 1/2))
(*.f64 y (+.f64 x #s(literal -1/2 binary64)))
(* y (- x 1/2))
(*.f64 y (+.f64 x #s(literal -1/2 binary64)))
(* y (- x 1/2))
(*.f64 y (+.f64 x #s(literal -1/2 binary64)))
(* y (- x 1/2))
(*.f64 y (+.f64 x #s(literal -1/2 binary64)))
(* -1 (* y (+ 1/2 (* -1 x))))
(*.f64 y (+.f64 x #s(literal -1/2 binary64)))
(* -1 (* y (+ 1/2 (* -1 x))))
(*.f64 y (+.f64 x #s(literal -1/2 binary64)))
(* -1 (* y (+ 1/2 (* -1 x))))
(*.f64 y (+.f64 x #s(literal -1/2 binary64)))
(* -1 (* y (+ 1/2 (* -1 x))))
(*.f64 y (+.f64 x #s(literal -1/2 binary64)))
(* 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)
(* 1/2 y)
(*.f64 #s(literal 1/2 binary64) y)
(* 1/2 y)
(*.f64 #s(literal 1/2 binary64) y)
(* 1/2 y)
(*.f64 #s(literal 1/2 binary64) y)
(* 1/2 y)
(*.f64 #s(literal 1/2 binary64) y)
(* 1/2 y)
(*.f64 #s(literal 1/2 binary64) y)
(* 1/2 y)
(*.f64 #s(literal 1/2 binary64) y)
(* 1/2 y)
(*.f64 #s(literal 1/2 binary64) y)
(* 1/2 y)
(*.f64 #s(literal 1/2 binary64) y)
(* 1/2 y)
(*.f64 #s(literal 1/2 binary64) y)
(* 1/2 y)
(*.f64 #s(literal 1/2 binary64) y)
(* 1/2 y)
(*.f64 #s(literal 1/2 binary64) y)
(* 1/2 y)
(*.f64 #s(literal 1/2 binary64) y)
918938533204673/1000000000000000
#s(literal 918938533204673/1000000000000000 binary64)
(+ 918938533204673/1000000000000000 (* -1 x))
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)
(+ 918938533204673/1000000000000000 (* -1 x))
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)
(+ 918938533204673/1000000000000000 (* -1 x))
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* x (- (* 918938533204673/1000000000000000 (/ 1 x)) 1))
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)
(* x (- (* 918938533204673/1000000000000000 (/ 1 x)) 1))
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)
(* x (- (* 918938533204673/1000000000000000 (/ 1 x)) 1))
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* -1 (* x (- 1 (* 918938533204673/1000000000000000 (/ 1 x)))))
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)
(* -1 (* x (- 1 (* 918938533204673/1000000000000000 (/ 1 x)))))
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)
(* -1 (* x (- 1 (* 918938533204673/1000000000000000 (/ 1 x)))))
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)
(* x (- y 1))
(*.f64 x (+.f64 y #s(literal -1 binary64)))
(* x (- y 1))
(*.f64 x (+.f64 y #s(literal -1 binary64)))
(* x (- y 1))
(*.f64 x (+.f64 y #s(literal -1 binary64)))
(* x (- y 1))
(*.f64 x (+.f64 y #s(literal -1 binary64)))
(* x (- y 1))
(*.f64 x (+.f64 y #s(literal -1 binary64)))
(* x (- y 1))
(*.f64 x (+.f64 y #s(literal -1 binary64)))
(* x (- y 1))
(*.f64 x (+.f64 y #s(literal -1 binary64)))
(* x (- y 1))
(*.f64 x (+.f64 y #s(literal -1 binary64)))
(* x (- y 1))
(*.f64 x (+.f64 y #s(literal -1 binary64)))
(* x (- y 1))
(*.f64 x (+.f64 y #s(literal -1 binary64)))
(* x (- y 1))
(*.f64 x (+.f64 y #s(literal -1 binary64)))
(* x (- y 1))
(*.f64 x (+.f64 y #s(literal -1 binary64)))
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(+ (* -1 x) (* x y))
(*.f64 x (+.f64 y #s(literal -1 binary64)))
(+ (* -1 x) (* x y))
(*.f64 x (+.f64 y #s(literal -1 binary64)))
(+ (* -1 x) (* x y))
(*.f64 x (+.f64 y #s(literal -1 binary64)))
(* x y)
(*.f64 y x)
(* y (+ x (* -1 (/ x y))))
(*.f64 x (+.f64 y #s(literal -1 binary64)))
(* y (+ x (* -1 (/ x y))))
(*.f64 x (+.f64 y #s(literal -1 binary64)))
(* y (+ x (* -1 (/ x y))))
(*.f64 x (+.f64 y #s(literal -1 binary64)))
(* x y)
(*.f64 y x)
(* -1 (* y (+ (* -1 x) (/ x y))))
(*.f64 x (+.f64 y #s(literal -1 binary64)))
(* -1 (* y (+ (* -1 x) (/ x y))))
(*.f64 x (+.f64 y #s(literal -1 binary64)))
(* -1 (* y (+ (* -1 x) (/ x y))))
(*.f64 x (+.f64 y #s(literal -1 binary64)))
-1
#s(literal -1 binary64)
(- y 1)
(+.f64 y #s(literal -1 binary64))
(- y 1)
(+.f64 y #s(literal -1 binary64))
(- y 1)
(+.f64 y #s(literal -1 binary64))
y
(* y (- 1 (/ 1 y)))
(+.f64 y #s(literal -1 binary64))
(* y (- 1 (/ 1 y)))
(+.f64 y #s(literal -1 binary64))
(* y (- 1 (/ 1 y)))
(+.f64 y #s(literal -1 binary64))
y
(* -1 (* y (- (/ 1 y) 1)))
(+.f64 y #s(literal -1 binary64))
(* -1 (* y (- (/ 1 y) 1)))
(+.f64 y #s(literal -1 binary64))
(* -1 (* y (- (/ 1 y) 1)))
(+.f64 y #s(literal -1 binary64))
(* y (- x 1/2))
(*.f64 y (+.f64 x #s(literal -1/2 binary64)))
(* y (- x 1/2))
(*.f64 y (+.f64 x #s(literal -1/2 binary64)))
(* y (- x 1/2))
(*.f64 y (+.f64 x #s(literal -1/2 binary64)))
(* y (- x 1/2))
(*.f64 y (+.f64 x #s(literal -1/2 binary64)))
(* y (- x 1/2))
(*.f64 y (+.f64 x #s(literal -1/2 binary64)))
(* y (- x 1/2))
(*.f64 y (+.f64 x #s(literal -1/2 binary64)))
(* y (- x 1/2))
(*.f64 y (+.f64 x #s(literal -1/2 binary64)))
(* y (- x 1/2))
(*.f64 y (+.f64 x #s(literal -1/2 binary64)))
(* y (- x 1/2))
(*.f64 y (+.f64 x #s(literal -1/2 binary64)))
(* y (- x 1/2))
(*.f64 y (+.f64 x #s(literal -1/2 binary64)))
(* y (- x 1/2))
(*.f64 y (+.f64 x #s(literal -1/2 binary64)))
(* y (- x 1/2))
(*.f64 y (+.f64 x #s(literal -1/2 binary64)))
(* -1/2 y)
(*.f64 y #s(literal -1/2 binary64))
(+ (* -1/2 y) (* x y))
(*.f64 y (+.f64 x #s(literal -1/2 binary64)))
(+ (* -1/2 y) (* x y))
(*.f64 y (+.f64 x #s(literal -1/2 binary64)))
(+ (* -1/2 y) (* x y))
(*.f64 y (+.f64 x #s(literal -1/2 binary64)))
(* x y)
(*.f64 y x)
(* x (+ y (* -1/2 (/ y x))))
(*.f64 y (+.f64 x #s(literal -1/2 binary64)))
(* x (+ y (* -1/2 (/ y x))))
(*.f64 y (+.f64 x #s(literal -1/2 binary64)))
(* x (+ y (* -1/2 (/ y x))))
(*.f64 y (+.f64 x #s(literal -1/2 binary64)))
(* x y)
(*.f64 y x)
(* -1 (* x (+ (* -1 y) (* 1/2 (/ y x)))))
(*.f64 y (+.f64 x #s(literal -1/2 binary64)))
(* -1 (* x (+ (* -1 y) (* 1/2 (/ y x)))))
(*.f64 y (+.f64 x #s(literal -1/2 binary64)))
(* -1 (* x (+ (* -1 y) (* 1/2 (/ y x)))))
(*.f64 y (+.f64 x #s(literal -1/2 binary64)))
-1/2
#s(literal -1/2 binary64)
(- x 1/2)
(+.f64 x #s(literal -1/2 binary64))
(- x 1/2)
(+.f64 x #s(literal -1/2 binary64))
(- x 1/2)
(+.f64 x #s(literal -1/2 binary64))
x
(* x (- 1 (* 1/2 (/ 1 x))))
(+.f64 x #s(literal -1/2 binary64))
(* x (- 1 (* 1/2 (/ 1 x))))
(+.f64 x #s(literal -1/2 binary64))
(* x (- 1 (* 1/2 (/ 1 x))))
(+.f64 x #s(literal -1/2 binary64))
x
(* -1 (* x (- (* 1/2 (/ 1 x)) 1)))
(+.f64 x #s(literal -1/2 binary64))
(* -1 (* x (- (* 1/2 (/ 1 x)) 1)))
(+.f64 x #s(literal -1/2 binary64))
(* -1 (* x (- (* 1/2 (/ 1 x)) 1)))
(+.f64 x #s(literal -1/2 binary64))
918938533204673/1000000000000000
#s(literal 918938533204673/1000000000000000 binary64)
(+ 918938533204673/1000000000000000 (* -1/2 y))
(+.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 y #s(literal -1/2 binary64)))
(+ 918938533204673/1000000000000000 (* -1/2 y))
(+.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 y #s(literal -1/2 binary64)))
(+ 918938533204673/1000000000000000 (* -1/2 y))
(+.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 y #s(literal -1/2 binary64)))
(* -1/2 y)
(*.f64 y #s(literal -1/2 binary64))
(* y (- (* 918938533204673/1000000000000000 (/ 1 y)) 1/2))
(+.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 y #s(literal -1/2 binary64)))
(* y (- (* 918938533204673/1000000000000000 (/ 1 y)) 1/2))
(+.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 y #s(literal -1/2 binary64)))
(* y (- (* 918938533204673/1000000000000000 (/ 1 y)) 1/2))
(+.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 y #s(literal -1/2 binary64)))
(* -1/2 y)
(*.f64 y #s(literal -1/2 binary64))
(* -1 (* y (- 1/2 (* 918938533204673/1000000000000000 (/ 1 y)))))
(+.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 y #s(literal -1/2 binary64)))
(* -1 (* y (- 1/2 (* 918938533204673/1000000000000000 (/ 1 y)))))
(+.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 y #s(literal -1/2 binary64)))
(* -1 (* y (- 1/2 (* 918938533204673/1000000000000000 (/ 1 y)))))
(+.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 y #s(literal -1/2 binary64)))
(* -1/2 y)
(*.f64 y #s(literal -1/2 binary64))
(* -1/2 y)
(*.f64 y #s(literal -1/2 binary64))
(* -1/2 y)
(*.f64 y #s(literal -1/2 binary64))
(* -1/2 y)
(*.f64 y #s(literal -1/2 binary64))
(* -1/2 y)
(*.f64 y #s(literal -1/2 binary64))
(* -1/2 y)
(*.f64 y #s(literal -1/2 binary64))
(* -1/2 y)
(*.f64 y #s(literal -1/2 binary64))
(* -1/2 y)
(*.f64 y #s(literal -1/2 binary64))
(* -1/2 y)
(*.f64 y #s(literal -1/2 binary64))
(* -1/2 y)
(*.f64 y #s(literal -1/2 binary64))
(* -1/2 y)
(*.f64 y #s(literal -1/2 binary64))
(* -1/2 y)
(*.f64 y #s(literal -1/2 binary64))

eval76.0ms (1.2%)

Compiler

Compiled 13667 to 1166 computations (91.5% saved)

prune67.0ms (1%)

Pruning

9 alts after pruning (5 fresh and 4 done)

PrunedKeptTotal
New6445649
Fresh101
Picked145
Done000
Total6469655
Accuracy
100.0%
Counts
655 → 9
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶50.6%
(-.f64 (*.f64 x y) (*.f64 y #s(literal 1/2 binary64)))
▶75.3%
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 y (-.f64 #s(literal 1/2 binary64) x)))
✓50.7%
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)
✓52.6%
(+.f64 (*.f64 y #s(literal -1/2 binary64)) #s(literal 918938533204673/1000000000000000 binary64))
✓50.6%
(*.f64 y (+.f64 x #s(literal -1/2 binary64)))
▶24.9%
(*.f64 y x)
▶28.1%
(*.f64 y #s(literal -1/2 binary64))
✓48.9%
(*.f64 x (+.f64 y #s(literal -1 binary64)))
▶26.5%
#s(literal 918938533204673/1000000000000000 binary64)
Compiler

Compiled 88 to 66 computations (25% saved)

simplify59.0ms (0.9%)

Algorithm
1×egg-herbie
Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(*.f64 y #s(literal 1/2 binary64))
✓cost-diff0
(*.f64 x y)
✓cost-diff128
(-.f64 (*.f64 x y) (*.f64 y #s(literal 1/2 binary64)))
✓cost-diff0
(*.f64 y x)
✓cost-diff0
(*.f64 y #s(literal -1/2 binary64))
✓cost-diff0
(-.f64 #s(literal 1/2 binary64) x)
✓cost-diff0
(*.f64 y (-.f64 #s(literal 1/2 binary64) x))
✓cost-diff0
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 y (-.f64 #s(literal 1/2 binary64) x)))
Rules
652×fnmadd-define
508×fmsub-define
504×fnmsub-define
484×fma-lowering-fma.f32
484×fma-lowering-fma.f64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01345
12944
26443
315843
436843
586743
6141743
7206543
8220943
9228943
10229243
0229243
Stop Event
1×iter limit
1×saturated
Calls
Call 1
Inputs
(- 918938533204673/1000000000000000 (* y (- 1/2 x)))
918938533204673/1000000000000000
(* y (- 1/2 x))
y
(- 1/2 x)
1/2
x
918938533204673/1000000000000000
(* y -1/2)
y
-1/2
(* y x)
y
x
(- (* x y) (* y 1/2))
(* x y)
x
y
(* y 1/2)
1/2
Outputs
(- 918938533204673/1000000000000000 (* y (- 1/2 x)))
(+.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 y (+.f64 x #s(literal -1/2 binary64))))
918938533204673/1000000000000000
#s(literal 918938533204673/1000000000000000 binary64)
(* y (- 1/2 x))
(*.f64 y (-.f64 #s(literal 1/2 binary64) x))
y
(- 1/2 x)
(-.f64 #s(literal 1/2 binary64) x)
1/2
#s(literal 1/2 binary64)
x
918938533204673/1000000000000000
#s(literal 918938533204673/1000000000000000 binary64)
(* y -1/2)
(*.f64 y #s(literal -1/2 binary64))
y
-1/2
#s(literal -1/2 binary64)
(* y x)
(*.f64 y x)
y
x
(- (* x y) (* y 1/2))
(*.f64 y (+.f64 x #s(literal -1/2 binary64)))
(* x y)
(*.f64 y x)
x
y
(* y 1/2)
(*.f64 y #s(literal 1/2 binary64))
1/2
#s(literal 1/2 binary64)

localize123.0ms (1.9%)

Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(*.f64 y #s(literal 1/2 binary64))
✓accuracy100.0%
(*.f64 x y)
✓accuracy100.0%
(-.f64 (*.f64 x y) (*.f64 y #s(literal 1/2 binary64)))
✓accuracy100.0%
(*.f64 y x)
✓accuracy100.0%
(*.f64 y #s(literal -1/2 binary64))
✓accuracy100.0%
(-.f64 #s(literal 1/2 binary64) x)
✓accuracy100.0%
(*.f64 y (-.f64 #s(literal 1/2 binary64) x))
✓accuracy100.0%
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 y (-.f64 #s(literal 1/2 binary64) x)))
Results
104.0ms256×0valid
Compiler

Compiled 49 to 14 computations (71.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 67.0ms
...c/correct-round.rkt:119:19: 53.0ms (79.2% of total)
ival-mult: 9.0ms (13.5% of total)
ival-sub: 4.0ms (6% of total)
const: 1.0ms (1.5% of total)
backward-pass: 0.0ms (0% of total)

series15.0ms (0.2%)

Counts
8 → 156
Calls
Call 1
Inputs
#<alt (- 918938533204673/1000000000000000 (* y (- 1/2 x)))>
#<alt (* y (- 1/2 x))>
#<alt (- 1/2 x)>
#<alt (* y -1/2)>
#<alt (* y x)>
#<alt (- (* x y) (* y 1/2))>
#<alt (* x y)>
#<alt (* y 1/2)>
Outputs
#<alt 918938533204673/1000000000000000>
#<alt (+ 918938533204673/1000000000000000 (* y (- x 1/2)))>
#<alt (+ 918938533204673/1000000000000000 (* y (- x 1/2)))>
#<alt (+ 918938533204673/1000000000000000 (* y (- x 1/2)))>
#<alt (* y (- x 1/2))>
#<alt (* y (- (+ x (* 918938533204673/1000000000000000 (/ 1 y))) 1/2))>
#<alt (* y (- (+ x (* 918938533204673/1000000000000000 (/ 1 y))) 1/2))>
#<alt (* y (- (+ x (* 918938533204673/1000000000000000 (/ 1 y))) 1/2))>
#<alt (* -1 (* y (- 1/2 x)))>
#<alt (* y (+ (* -1 (- 1/2 x)) (* 918938533204673/1000000000000000 (/ 1 y))))>
#<alt (* y (+ (* -1 (- 1/2 x)) (* 918938533204673/1000000000000000 (/ 1 y))))>
#<alt (* y (+ (* -1 (- 1/2 x)) (* 918938533204673/1000000000000000 (/ 1 y))))>
#<alt (- 918938533204673/1000000000000000 (* 1/2 y))>
#<alt (- (+ 918938533204673/1000000000000000 (* x y)) (* 1/2 y))>
#<alt (- (+ 918938533204673/1000000000000000 (* x y)) (* 1/2 y))>
#<alt (- (+ 918938533204673/1000000000000000 (* x y)) (* 1/2 y))>
#<alt (* x y)>
#<alt (* x (- (* 918938533204673/1000000000000000 (/ 1 x)) (+ (* -1 y) (* 1/2 (/ y x)))))>
#<alt (* x (- (* 918938533204673/1000000000000000 (/ 1 x)) (+ (* -1 y) (* 1/2 (/ y x)))))>
#<alt (* x (- (* 918938533204673/1000000000000000 (/ 1 x)) (+ (* -1 y) (* 1/2 (/ y x)))))>
#<alt (* x y)>
#<alt (* -1 (* x (- (* -1 (/ (- 918938533204673/1000000000000000 (* 1/2 y)) x)) y)))>
#<alt (* -1 (* x (- (* -1 (/ (- 918938533204673/1000000000000000 (* 1/2 y)) x)) y)))>
#<alt (* -1 (* x (- (* -1 (/ (- 918938533204673/1000000000000000 (* 1/2 y)) x)) y)))>
#<alt (* y (- 1/2 x))>
#<alt (* y (- 1/2 x))>
#<alt (* y (- 1/2 x))>
#<alt (* y (- 1/2 x))>
#<alt (* y (- 1/2 x))>
#<alt (* y (- 1/2 x))>
#<alt (* y (- 1/2 x))>
#<alt (* y (- 1/2 x))>
#<alt (* y (- 1/2 x))>
#<alt (* y (- 1/2 x))>
#<alt (* y (- 1/2 x))>
#<alt (* y (- 1/2 x))>
#<alt (* 1/2 y)>
#<alt (+ (* -1 (* x y)) (* 1/2 y))>
#<alt (+ (* -1 (* x y)) (* 1/2 y))>
#<alt (+ (* -1 (* x y)) (* 1/2 y))>
#<alt (* -1 (* x y))>
#<alt (* x (+ (* -1 y) (* 1/2 (/ y x))))>
#<alt (* x (+ (* -1 y) (* 1/2 (/ y x))))>
#<alt (* x (+ (* -1 y) (* 1/2 (/ y x))))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x (+ y (* -1/2 (/ y x)))))>
#<alt (* -1 (* x (+ y (* -1/2 (/ y x)))))>
#<alt (* -1 (* x (+ y (* -1/2 (/ y x)))))>
#<alt 1/2>
#<alt (+ 1/2 (* -1 x))>
#<alt (+ 1/2 (* -1 x))>
#<alt (+ 1/2 (* -1 x))>
#<alt (* -1 x)>
#<alt (* x (- (* 1/2 (/ 1 x)) 1))>
#<alt (* x (- (* 1/2 (/ 1 x)) 1))>
#<alt (* x (- (* 1/2 (/ 1 x)) 1))>
#<alt (* -1 x)>
#<alt (* -1 (* x (- 1 (* 1/2 (/ 1 x)))))>
#<alt (* -1 (* x (- 1 (* 1/2 (/ 1 x)))))>
#<alt (* -1 (* x (- 1 (* 1/2 (/ 1 x)))))>
#<alt (* -1/2 y)>
#<alt (* -1/2 y)>
#<alt (* -1/2 y)>
#<alt (* -1/2 y)>
#<alt (* -1/2 y)>
#<alt (* -1/2 y)>
#<alt (* -1/2 y)>
#<alt (* -1/2 y)>
#<alt (* -1/2 y)>
#<alt (* -1/2 y)>
#<alt (* -1/2 y)>
#<alt (* -1/2 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 (* -1/2 y)>
#<alt (- (* x y) (* 1/2 y))>
#<alt (- (* x y) (* 1/2 y))>
#<alt (- (* x y) (* 1/2 y))>
#<alt (* x y)>
#<alt (* x (+ y (* -1/2 (/ y x))))>
#<alt (* x (+ y (* -1/2 (/ y x))))>
#<alt (* x (+ y (* -1/2 (/ y x))))>
#<alt (* x y)>
#<alt (* -1 (* x (+ (* -1 y) (* 1/2 (/ y x)))))>
#<alt (* -1 (* x (+ (* -1 y) (* 1/2 (/ y x)))))>
#<alt (* -1 (* x (+ (* -1 y) (* 1/2 (/ y x)))))>
#<alt (* y (- x 1/2))>
#<alt (* y (- x 1/2))>
#<alt (* y (- x 1/2))>
#<alt (* y (- x 1/2))>
#<alt (* y (- x 1/2))>
#<alt (* y (- x 1/2))>
#<alt (* y (- x 1/2))>
#<alt (* y (- x 1/2))>
#<alt (* -1 (* y (+ 1/2 (* -1 x))))>
#<alt (* -1 (* y (+ 1/2 (* -1 x))))>
#<alt (* -1 (* y (+ 1/2 (* -1 x))))>
#<alt (* -1 (* y (+ 1/2 (* -1 x))))>
#<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 (* 1/2 y)>
#<alt (* 1/2 y)>
#<alt (* 1/2 y)>
#<alt (* 1/2 y)>
#<alt (* 1/2 y)>
#<alt (* 1/2 y)>
#<alt (* 1/2 y)>
#<alt (* 1/2 y)>
#<alt (* 1/2 y)>
#<alt (* 1/2 y)>
#<alt (* 1/2 y)>
#<alt (* 1/2 y)>
Calls

39 calls:

TimeVariablePointExpression
5.0ms
y
@-inf
(- 918938533204673/1000000000000000 (* y (- 1/2 x)))
0.0ms
y
@0
(- 918938533204673/1000000000000000 (* y (- 1/2 x)))
0.0ms
x
@0
(- 918938533204673/1000000000000000 (* y (- 1/2 x)))
0.0ms
x
@inf
(- 918938533204673/1000000000000000 (* y (- 1/2 x)))
0.0ms
y
@0
(* y (- 1/2 x))

rewrite307.0ms (4.7%)

Algorithm
1×batch-egg-rewrite
Rules
4366×*-lowering-*.f32
4366×*-lowering-*.f64
2556×/-lowering-/.f32
2556×/-lowering-/.f64
1718×sum4-define
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01333
17632
255731
3736931
0837631
Stop Event
1×iter limit
1×node limit
Counts
8 → 307
Calls
Call 1
Inputs
(- 918938533204673/1000000000000000 (* y (- 1/2 x)))
(* y (- 1/2 x))
(- 1/2 x)
(* y -1/2)
(* y x)
(- (* x y) (* y 1/2))
(* x y)
(* y 1/2)
Outputs
(+.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 y (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1/2 binary64) x))))
(+.f64 (*.f64 y #s(literal -1/2 binary64)) (+.f64 (neg.f64 (*.f64 x (-.f64 #s(literal 0 binary64) y))) #s(literal 918938533204673/1000000000000000 binary64)))
(+.f64 (*.f64 y (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1/2 binary64) x))) #s(literal 918938533204673/1000000000000000 binary64))
(+.f64 (/.f64 #s(literal 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 binary64) (+.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (*.f64 y (*.f64 (-.f64 #s(literal 1/2 binary64) x) (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 y (-.f64 #s(literal 1/2 binary64) x))))))) (neg.f64 (/.f64 (*.f64 (*.f64 y (-.f64 #s(literal 1/2 binary64) x)) (*.f64 y (*.f64 (-.f64 #s(literal 1/2 binary64) x) (*.f64 y (-.f64 #s(literal 1/2 binary64) x))))) (+.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (*.f64 y (*.f64 (-.f64 #s(literal 1/2 binary64) x) (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 y (-.f64 #s(literal 1/2 binary64) x)))))))))
(+.f64 (/.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 y (-.f64 #s(literal 1/2 binary64) x)))) (neg.f64 (/.f64 (*.f64 y (*.f64 (-.f64 #s(literal 1/2 binary64) x) (*.f64 y (-.f64 #s(literal 1/2 binary64) x)))) (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 y (-.f64 #s(literal 1/2 binary64) x))))))
(+.f64 (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 y #s(literal -1/2 binary64))) (neg.f64 (*.f64 x (-.f64 #s(literal 0 binary64) y))))
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 y (-.f64 #s(literal 1/2 binary64) x)))
(-.f64 (/.f64 #s(literal 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 binary64) (+.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (*.f64 y (*.f64 (-.f64 #s(literal 1/2 binary64) x) (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 y (-.f64 #s(literal 1/2 binary64) x))))))) (/.f64 (*.f64 (*.f64 y (-.f64 #s(literal 1/2 binary64) x)) (*.f64 y (*.f64 (-.f64 #s(literal 1/2 binary64) x) (*.f64 y (-.f64 #s(literal 1/2 binary64) x))))) (+.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (*.f64 y (*.f64 (-.f64 #s(literal 1/2 binary64) x) (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 y (-.f64 #s(literal 1/2 binary64) x))))))))
(-.f64 (/.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 y (-.f64 #s(literal 1/2 binary64) x)))) (/.f64 (*.f64 y (*.f64 (-.f64 #s(literal 1/2 binary64) x) (*.f64 y (-.f64 #s(literal 1/2 binary64) x)))) (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 y (-.f64 #s(literal 1/2 binary64) x)))))
(-.f64 #s(literal 0 binary64) (-.f64 (*.f64 y (-.f64 #s(literal 1/2 binary64) x)) #s(literal 918938533204673/1000000000000000 binary64)))
(-.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 y #s(literal 1/2 binary64))) (neg.f64 (*.f64 y x)))
(fma.f64 y (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1/2 binary64) x)) #s(literal 918938533204673/1000000000000000 binary64))
(fma.f64 (-.f64 #s(literal 1/2 binary64) x) (-.f64 #s(literal 0 binary64) y) #s(literal 918938533204673/1000000000000000 binary64))
(fma.f64 (-.f64 #s(literal 0 binary64) y) (-.f64 #s(literal 1/2 binary64) x) #s(literal 918938533204673/1000000000000000 binary64))
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(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 y (*.f64 y (*.f64 x x))) (*.f64 y (+.f64 #s(literal 1/2 binary64) x))) (/.f64 (*.f64 y (*.f64 y (*.f64 x x))) (*.f64 y (+.f64 #s(literal 1/2 binary64) x)))) (*.f64 (/.f64 (*.f64 y (*.f64 y #s(literal 1/4 binary64))) (*.f64 y (+.f64 #s(literal 1/2 binary64) x))) (/.f64 (*.f64 y (*.f64 y #s(literal 1/4 binary64))) (*.f64 y (+.f64 #s(literal 1/2 binary64) x))))) (+.f64 (/.f64 (*.f64 y (*.f64 y (*.f64 x x))) (*.f64 y (+.f64 #s(literal 1/2 binary64) x))) (/.f64 (*.f64 y (*.f64 y #s(literal 1/4 binary64))) (*.f64 y (+.f64 #s(literal 1/2 binary64) x)))))
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 (*.f64 y x) (*.f64 y (*.f64 y (*.f64 x x)))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y x) (*.f64 y (*.f64 y (*.f64 x x))))))) (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 y (*.f64 y y))) (*.f64 #s(literal 1/64 binary64) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y)))))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 y (*.f64 y (*.f64 x x))) (*.f64 (*.f64 y #s(literal 1/2 binary64)) (*.f64 y (+.f64 #s(literal 1/2 binary64) x)))))) (+.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 y (*.f64 y y))) (*.f64 (*.f64 y (*.f64 y y)) (+.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x))))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y x) (*.f64 y (*.f64 y (*.f64 x x))))))))
(/.f64 (*.f64 (*.f64 (*.f64 (*.f64 y (*.f64 y y)) (+.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 y (*.f64 y y)) (-.f64 (*.f64 x (*.f64 x x)) #s(literal 1/8 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 y (*.f64 y (*.f64 x x))) (*.f64 (*.f64 y #s(literal 1/2 binary64)) (*.f64 y (+.f64 #s(literal 1/2 binary64) x)))))) (*.f64 (*.f64 y (*.f64 y y)) (+.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x)))))
(/.f64 (*.f64 (*.f64 (*.f64 (*.f64 y (*.f64 y y)) (+.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 y (*.f64 y y)) (-.f64 (*.f64 x (*.f64 x x)) #s(literal 1/8 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 #s(literal 1/2 binary64) x))) (+.f64 (*.f64 (*.f64 y x) (*.f64 (*.f64 y x) (*.f64 y (*.f64 y (*.f64 x x))))) (*.f64 (*.f64 y (*.f64 y #s(literal 1/4 binary64))) (*.f64 (*.f64 y y) (+.f64 #s(literal 1/4 binary64) (*.f64 x x))))))
(/.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) (+.f64 #s(literal 1/4 binary64) (*.f64 x x))) (*.f64 (*.f64 y y) (-.f64 (*.f64 x x) #s(literal 1/4 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 #s(literal 1/2 binary64) x))) (*.f64 (*.f64 y y) (+.f64 #s(literal 1/4 binary64) (*.f64 x x))))
(/.f64 (/.f64 (*.f64 (*.f64 y y) (-.f64 (*.f64 x x) #s(literal 1/4 binary64))) y) (+.f64 #s(literal 1/2 binary64) x))
(pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (+.f64 x #s(literal -1/2 binary64)))) #s(literal -1 binary64))
(*.f64 y (+.f64 x #s(literal -1/2 binary64)))
(*.f64 y (+.f64 #s(literal -1/2 binary64) x))
(*.f64 (+.f64 (*.f64 y (*.f64 y (*.f64 x x))) (*.f64 (*.f64 y #s(literal 1/2 binary64)) (*.f64 y (+.f64 #s(literal 1/2 binary64) x)))) (*.f64 (*.f64 y (+.f64 x #s(literal -1/2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 y (*.f64 y (*.f64 x x))) (*.f64 (*.f64 y #s(literal 1/2 binary64)) (*.f64 y (+.f64 #s(literal 1/2 binary64) x)))))))
(*.f64 (+.f64 (*.f64 y (*.f64 y (*.f64 x x))) (*.f64 (*.f64 y #s(literal 1/2 binary64)) (*.f64 y (+.f64 #s(literal 1/2 binary64) x)))) (/.f64 (*.f64 y (+.f64 x #s(literal -1/2 binary64))) (+.f64 (*.f64 y (*.f64 y (*.f64 x x))) (*.f64 (*.f64 y #s(literal 1/2 binary64)) (*.f64 y (+.f64 #s(literal 1/2 binary64) x))))))
(*.f64 (*.f64 (*.f64 y y) (-.f64 (*.f64 x x) #s(literal 1/4 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 #s(literal 1/2 binary64) x)))
(*.f64 (*.f64 y (+.f64 #s(literal 1/2 binary64) x)) (*.f64 (*.f64 y (+.f64 x #s(literal -1/2 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 #s(literal 1/2 binary64) x))))
(*.f64 (*.f64 y (+.f64 #s(literal 1/2 binary64) x)) (/.f64 (*.f64 y (+.f64 x #s(literal -1/2 binary64))) (*.f64 y (+.f64 #s(literal 1/2 binary64) x))))
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 y (*.f64 y y)) (-.f64 (*.f64 x (*.f64 x x)) #s(literal 1/8 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (neg.f64 (*.f64 (*.f64 y y) (+.f64 #s(literal 1/4 binary64) (*.f64 x x)))) (*.f64 y (*.f64 x (*.f64 y #s(literal -1/2 binary64)))))))
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 y y) (-.f64 (*.f64 x x) #s(literal 1/4 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 y (+.f64 #s(literal 1/2 binary64) x)))))
(*.f64 (+.f64 (*.f64 (*.f64 y (+.f64 x #s(literal -1/2 binary64))) (*.f64 y (*.f64 (+.f64 x #s(literal -1/2 binary64)) (*.f64 y (+.f64 x #s(literal -1/2 binary64)))))) (*.f64 (*.f64 y #s(literal 0 binary64)) (*.f64 (*.f64 y #s(literal 0 binary64)) (*.f64 y #s(literal 0 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 y (*.f64 (+.f64 x #s(literal -1/2 binary64)) (*.f64 y (+.f64 x #s(literal -1/2 binary64))))) (*.f64 (*.f64 y #s(literal 0 binary64)) (-.f64 (*.f64 y #s(literal 0 binary64)) (*.f64 y (+.f64 x #s(literal -1/2 binary64))))))))
(*.f64 #s(literal 1 binary64) (*.f64 y (+.f64 x #s(literal -1/2 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 y (*.f64 y (*.f64 x x))) (*.f64 (*.f64 y #s(literal 1/2 binary64)) (*.f64 y (+.f64 #s(literal 1/2 binary64) x))))) (*.f64 (*.f64 y (*.f64 y y)) (-.f64 (*.f64 x (*.f64 x x)) #s(literal 1/8 binary64))))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 #s(literal 1/2 binary64) x)) (*.f64 (*.f64 y y) (-.f64 (*.f64 x x) #s(literal 1/4 binary64))))
(*.f64 (*.f64 (*.f64 y (+.f64 x #s(literal -1/2 binary64))) (-.f64 (*.f64 y (+.f64 x #s(literal -1/2 binary64))) (*.f64 y #s(literal 0 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 y (+.f64 x #s(literal -1/2 binary64))) (*.f64 y #s(literal 0 binary64)))))
(*.f64 (+.f64 x #s(literal -1/2 binary64)) y)
(*.f64 (*.f64 (*.f64 y (*.f64 y y)) (-.f64 (*.f64 x (*.f64 x x)) #s(literal 1/8 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 y (*.f64 y (*.f64 x x))) (*.f64 (*.f64 y #s(literal 1/2 binary64)) (*.f64 y (+.f64 #s(literal 1/2 binary64) x))))))
(*.f64 (*.f64 (*.f64 y (*.f64 y y)) (-.f64 (*.f64 x (*.f64 x x)) #s(literal 1/8 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (*.f64 y y) (+.f64 #s(literal 1/4 binary64) (*.f64 x x))) (*.f64 y (*.f64 x (*.f64 y #s(literal -1/2 binary64)))))))
(*.f64 (/.f64 (*.f64 y (+.f64 #s(literal 1/2 binary64) x)) y) (/.f64 (*.f64 y (+.f64 x #s(literal -1/2 binary64))) (+.f64 #s(literal 1/2 binary64) x)))
(*.f64 (/.f64 (*.f64 (*.f64 y y) (-.f64 (*.f64 x x) #s(literal 1/4 binary64))) (*.f64 (*.f64 y y) (-.f64 (*.f64 x x) #s(literal 1/4 binary64)))) (*.f64 y (+.f64 x #s(literal -1/2 binary64))))
(*.f64 (/.f64 (*.f64 (*.f64 y (*.f64 y y)) (-.f64 (*.f64 x (*.f64 x x)) #s(literal 1/8 binary64))) (+.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y x) (*.f64 y (*.f64 y (*.f64 x x)))))) (*.f64 (*.f64 (*.f64 y #s(literal 1/2 binary64)) (*.f64 y (+.f64 #s(literal 1/2 binary64) x))) (*.f64 (*.f64 y (*.f64 y #s(literal 1/4 binary64))) (*.f64 (*.f64 y (+.f64 #s(literal 1/2 binary64) x)) (*.f64 y (+.f64 #s(literal 1/2 binary64) x))))))) (+.f64 (*.f64 (*.f64 y x) (*.f64 (*.f64 y x) (*.f64 y (*.f64 y (*.f64 x x))))) (*.f64 (*.f64 (*.f64 y #s(literal 1/2 binary64)) (*.f64 y (+.f64 #s(literal 1/2 binary64) x))) (-.f64 (*.f64 (*.f64 y #s(literal 1/2 binary64)) (*.f64 y (+.f64 #s(literal 1/2 binary64) x))) (*.f64 y (*.f64 y (*.f64 x x)))))))
(*.f64 (/.f64 (*.f64 (*.f64 y (*.f64 y y)) (-.f64 (*.f64 x (*.f64 x x)) #s(literal 1/8 binary64))) (-.f64 (*.f64 (*.f64 y x) (*.f64 (*.f64 y x) (*.f64 y (*.f64 y (*.f64 x x))))) (*.f64 (*.f64 y (*.f64 y #s(literal 1/4 binary64))) (*.f64 (*.f64 y (+.f64 #s(literal 1/2 binary64) x)) (*.f64 y (+.f64 #s(literal 1/2 binary64) x)))))) (+.f64 (*.f64 y (*.f64 y (*.f64 x x))) (*.f64 (*.f64 y #s(literal -1/2 binary64)) (*.f64 y (+.f64 #s(literal 1/2 binary64) x)))))
(*.f64 (/.f64 (*.f64 (*.f64 y y) (-.f64 (*.f64 x x) #s(literal 1/4 binary64))) (*.f64 (*.f64 y (*.f64 y y)) (+.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x))))) (+.f64 (*.f64 y (*.f64 y (*.f64 x x))) (*.f64 (*.f64 y (*.f64 y #s(literal 1/2 binary64))) (-.f64 #s(literal 1/2 binary64) x))))
(*.f64 y x)
(*.f64 x y)
(*.f64 y #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) y)

simplify144.0ms (2.2%)

Algorithm
1×egg-herbie
Rules
1772×sum5-define
1512×sum4-define
1414×*-lowering-*.f32
1414×*-lowering-*.f64
1328×sum3-define
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
059626
1189608
2518607
31429607
44636607
57479607
08007607
Stop Event
1×iter limit
1×node limit
Counts
156 → 156
Calls
Call 1
Inputs
918938533204673/1000000000000000
(+ 918938533204673/1000000000000000 (* y (- x 1/2)))
(+ 918938533204673/1000000000000000 (* y (- x 1/2)))
(+ 918938533204673/1000000000000000 (* y (- x 1/2)))
(* y (- x 1/2))
(* y (- (+ x (* 918938533204673/1000000000000000 (/ 1 y))) 1/2))
(* y (- (+ x (* 918938533204673/1000000000000000 (/ 1 y))) 1/2))
(* y (- (+ x (* 918938533204673/1000000000000000 (/ 1 y))) 1/2))
(* -1 (* y (- 1/2 x)))
(* y (+ (* -1 (- 1/2 x)) (* 918938533204673/1000000000000000 (/ 1 y))))
(* y (+ (* -1 (- 1/2 x)) (* 918938533204673/1000000000000000 (/ 1 y))))
(* y (+ (* -1 (- 1/2 x)) (* 918938533204673/1000000000000000 (/ 1 y))))
(- 918938533204673/1000000000000000 (* 1/2 y))
(- (+ 918938533204673/1000000000000000 (* x y)) (* 1/2 y))
(- (+ 918938533204673/1000000000000000 (* x y)) (* 1/2 y))
(- (+ 918938533204673/1000000000000000 (* x y)) (* 1/2 y))
(* x y)
(* x (- (* 918938533204673/1000000000000000 (/ 1 x)) (+ (* -1 y) (* 1/2 (/ y x)))))
(* x (- (* 918938533204673/1000000000000000 (/ 1 x)) (+ (* -1 y) (* 1/2 (/ y x)))))
(* x (- (* 918938533204673/1000000000000000 (/ 1 x)) (+ (* -1 y) (* 1/2 (/ y x)))))
(* x y)
(* -1 (* x (- (* -1 (/ (- 918938533204673/1000000000000000 (* 1/2 y)) x)) y)))
(* -1 (* x (- (* -1 (/ (- 918938533204673/1000000000000000 (* 1/2 y)) x)) y)))
(* -1 (* x (- (* -1 (/ (- 918938533204673/1000000000000000 (* 1/2 y)) x)) y)))
(* y (- 1/2 x))
(* y (- 1/2 x))
(* y (- 1/2 x))
(* y (- 1/2 x))
(* y (- 1/2 x))
(* y (- 1/2 x))
(* y (- 1/2 x))
(* y (- 1/2 x))
(* y (- 1/2 x))
(* y (- 1/2 x))
(* y (- 1/2 x))
(* y (- 1/2 x))
(* 1/2 y)
(+ (* -1 (* x y)) (* 1/2 y))
(+ (* -1 (* x y)) (* 1/2 y))
(+ (* -1 (* x y)) (* 1/2 y))
(* -1 (* x y))
(* x (+ (* -1 y) (* 1/2 (/ y x))))
(* x (+ (* -1 y) (* 1/2 (/ y x))))
(* x (+ (* -1 y) (* 1/2 (/ y x))))
(* -1 (* x y))
(* -1 (* x (+ y (* -1/2 (/ y x)))))
(* -1 (* x (+ y (* -1/2 (/ y x)))))
(* -1 (* x (+ y (* -1/2 (/ y x)))))
1/2
(+ 1/2 (* -1 x))
(+ 1/2 (* -1 x))
(+ 1/2 (* -1 x))
(* -1 x)
(* x (- (* 1/2 (/ 1 x)) 1))
(* x (- (* 1/2 (/ 1 x)) 1))
(* x (- (* 1/2 (/ 1 x)) 1))
(* -1 x)
(* -1 (* x (- 1 (* 1/2 (/ 1 x)))))
(* -1 (* x (- 1 (* 1/2 (/ 1 x)))))
(* -1 (* x (- 1 (* 1/2 (/ 1 x)))))
(* -1/2 y)
(* -1/2 y)
(* -1/2 y)
(* -1/2 y)
(* -1/2 y)
(* -1/2 y)
(* -1/2 y)
(* -1/2 y)
(* -1/2 y)
(* -1/2 y)
(* -1/2 y)
(* -1/2 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)
(* -1/2 y)
(- (* x y) (* 1/2 y))
(- (* x y) (* 1/2 y))
(- (* x y) (* 1/2 y))
(* x y)
(* x (+ y (* -1/2 (/ y x))))
(* x (+ y (* -1/2 (/ y x))))
(* x (+ y (* -1/2 (/ y x))))
(* x y)
(* -1 (* x (+ (* -1 y) (* 1/2 (/ y x)))))
(* -1 (* x (+ (* -1 y) (* 1/2 (/ y x)))))
(* -1 (* x (+ (* -1 y) (* 1/2 (/ y x)))))
(* y (- x 1/2))
(* y (- x 1/2))
(* y (- x 1/2))
(* y (- x 1/2))
(* y (- x 1/2))
(* y (- x 1/2))
(* y (- x 1/2))
(* y (- x 1/2))
(* -1 (* y (+ 1/2 (* -1 x))))
(* -1 (* y (+ 1/2 (* -1 x))))
(* -1 (* y (+ 1/2 (* -1 x))))
(* -1 (* y (+ 1/2 (* -1 x))))
(* 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)
(* 1/2 y)
(* 1/2 y)
(* 1/2 y)
(* 1/2 y)
(* 1/2 y)
(* 1/2 y)
(* 1/2 y)
(* 1/2 y)
(* 1/2 y)
(* 1/2 y)
(* 1/2 y)
(* 1/2 y)
Outputs
918938533204673/1000000000000000
#s(literal 918938533204673/1000000000000000 binary64)
(+ 918938533204673/1000000000000000 (* y (- x 1/2)))
(+.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 y (+.f64 x #s(literal -1/2 binary64))))
(+ 918938533204673/1000000000000000 (* y (- x 1/2)))
(+.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 y (+.f64 x #s(literal -1/2 binary64))))
(+ 918938533204673/1000000000000000 (* y (- x 1/2)))
(+.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 y (+.f64 x #s(literal -1/2 binary64))))
(* y (- x 1/2))
(*.f64 y (+.f64 x #s(literal -1/2 binary64)))
(* y (- (+ x (* 918938533204673/1000000000000000 (/ 1 y))) 1/2))
(+.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 y (+.f64 x #s(literal -1/2 binary64))))
(* y (- (+ x (* 918938533204673/1000000000000000 (/ 1 y))) 1/2))
(+.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 y (+.f64 x #s(literal -1/2 binary64))))
(* y (- (+ x (* 918938533204673/1000000000000000 (/ 1 y))) 1/2))
(+.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 y (+.f64 x #s(literal -1/2 binary64))))
(* -1 (* y (- 1/2 x)))
(*.f64 y (+.f64 x #s(literal -1/2 binary64)))
(* y (+ (* -1 (- 1/2 x)) (* 918938533204673/1000000000000000 (/ 1 y))))
(+.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 y (+.f64 x #s(literal -1/2 binary64))))
(* y (+ (* -1 (- 1/2 x)) (* 918938533204673/1000000000000000 (/ 1 y))))
(+.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 y (+.f64 x #s(literal -1/2 binary64))))
(* y (+ (* -1 (- 1/2 x)) (* 918938533204673/1000000000000000 (/ 1 y))))
(+.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 y (+.f64 x #s(literal -1/2 binary64))))
(- 918938533204673/1000000000000000 (* 1/2 y))
(+.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 y #s(literal -1/2 binary64)))
(- (+ 918938533204673/1000000000000000 (* x y)) (* 1/2 y))
(+.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 y (+.f64 x #s(literal -1/2 binary64))))
(- (+ 918938533204673/1000000000000000 (* x y)) (* 1/2 y))
(+.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 y (+.f64 x #s(literal -1/2 binary64))))
(- (+ 918938533204673/1000000000000000 (* x y)) (* 1/2 y))
(+.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 y (+.f64 x #s(literal -1/2 binary64))))
(* x y)
(*.f64 y x)
(* x (- (* 918938533204673/1000000000000000 (/ 1 x)) (+ (* -1 y) (* 1/2 (/ y x)))))
(+.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 y (+.f64 x #s(literal -1/2 binary64))))
(* x (- (* 918938533204673/1000000000000000 (/ 1 x)) (+ (* -1 y) (* 1/2 (/ y x)))))
(+.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 y (+.f64 x #s(literal -1/2 binary64))))
(* x (- (* 918938533204673/1000000000000000 (/ 1 x)) (+ (* -1 y) (* 1/2 (/ y x)))))
(+.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 y (+.f64 x #s(literal -1/2 binary64))))
(* x y)
(*.f64 y x)
(* -1 (* x (- (* -1 (/ (- 918938533204673/1000000000000000 (* 1/2 y)) x)) y)))
(+.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 y (+.f64 x #s(literal -1/2 binary64))))
(* -1 (* x (- (* -1 (/ (- 918938533204673/1000000000000000 (* 1/2 y)) x)) y)))
(+.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 y (+.f64 x #s(literal -1/2 binary64))))
(* -1 (* x (- (* -1 (/ (- 918938533204673/1000000000000000 (* 1/2 y)) x)) y)))
(+.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 y (+.f64 x #s(literal -1/2 binary64))))
(* y (- 1/2 x))
(*.f64 y (-.f64 #s(literal 1/2 binary64) x))
(* y (- 1/2 x))
(*.f64 y (-.f64 #s(literal 1/2 binary64) x))
(* y (- 1/2 x))
(*.f64 y (-.f64 #s(literal 1/2 binary64) x))
(* y (- 1/2 x))
(*.f64 y (-.f64 #s(literal 1/2 binary64) x))
(* y (- 1/2 x))
(*.f64 y (-.f64 #s(literal 1/2 binary64) x))
(* y (- 1/2 x))
(*.f64 y (-.f64 #s(literal 1/2 binary64) x))
(* y (- 1/2 x))
(*.f64 y (-.f64 #s(literal 1/2 binary64) x))
(* y (- 1/2 x))
(*.f64 y (-.f64 #s(literal 1/2 binary64) x))
(* y (- 1/2 x))
(*.f64 y (-.f64 #s(literal 1/2 binary64) x))
(* y (- 1/2 x))
(*.f64 y (-.f64 #s(literal 1/2 binary64) x))
(* y (- 1/2 x))
(*.f64 y (-.f64 #s(literal 1/2 binary64) x))
(* y (- 1/2 x))
(*.f64 y (-.f64 #s(literal 1/2 binary64) x))
(* 1/2 y)
(*.f64 y #s(literal 1/2 binary64))
(+ (* -1 (* x y)) (* 1/2 y))
(*.f64 y (-.f64 #s(literal 1/2 binary64) x))
(+ (* -1 (* x y)) (* 1/2 y))
(*.f64 y (-.f64 #s(literal 1/2 binary64) x))
(+ (* -1 (* x y)) (* 1/2 y))
(*.f64 y (-.f64 #s(literal 1/2 binary64) x))
(* -1 (* x y))
(-.f64 #s(literal 0 binary64) (*.f64 y x))
(* x (+ (* -1 y) (* 1/2 (/ y x))))
(*.f64 y (-.f64 #s(literal 1/2 binary64) x))
(* x (+ (* -1 y) (* 1/2 (/ y x))))
(*.f64 y (-.f64 #s(literal 1/2 binary64) x))
(* x (+ (* -1 y) (* 1/2 (/ y x))))
(*.f64 y (-.f64 #s(literal 1/2 binary64) x))
(* -1 (* x y))
(-.f64 #s(literal 0 binary64) (*.f64 y x))
(* -1 (* x (+ y (* -1/2 (/ y x)))))
(*.f64 y (-.f64 #s(literal 1/2 binary64) x))
(* -1 (* x (+ y (* -1/2 (/ y x)))))
(*.f64 y (-.f64 #s(literal 1/2 binary64) x))
(* -1 (* x (+ y (* -1/2 (/ y x)))))
(*.f64 y (-.f64 #s(literal 1/2 binary64) x))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* -1 x))
(-.f64 #s(literal 1/2 binary64) x)
(+ 1/2 (* -1 x))
(-.f64 #s(literal 1/2 binary64) x)
(+ 1/2 (* -1 x))
(-.f64 #s(literal 1/2 binary64) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* x (- (* 1/2 (/ 1 x)) 1))
(-.f64 #s(literal 1/2 binary64) x)
(* x (- (* 1/2 (/ 1 x)) 1))
(-.f64 #s(literal 1/2 binary64) x)
(* x (- (* 1/2 (/ 1 x)) 1))
(-.f64 #s(literal 1/2 binary64) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* -1 (* x (- 1 (* 1/2 (/ 1 x)))))
(-.f64 #s(literal 1/2 binary64) x)
(* -1 (* x (- 1 (* 1/2 (/ 1 x)))))
(-.f64 #s(literal 1/2 binary64) x)
(* -1 (* x (- 1 (* 1/2 (/ 1 x)))))
(-.f64 #s(literal 1/2 binary64) x)
(* -1/2 y)
(*.f64 y #s(literal -1/2 binary64))
(* -1/2 y)
(*.f64 y #s(literal -1/2 binary64))
(* -1/2 y)
(*.f64 y #s(literal -1/2 binary64))
(* -1/2 y)
(*.f64 y #s(literal -1/2 binary64))
(* -1/2 y)
(*.f64 y #s(literal -1/2 binary64))
(* -1/2 y)
(*.f64 y #s(literal -1/2 binary64))
(* -1/2 y)
(*.f64 y #s(literal -1/2 binary64))
(* -1/2 y)
(*.f64 y #s(literal -1/2 binary64))
(* -1/2 y)
(*.f64 y #s(literal -1/2 binary64))
(* -1/2 y)
(*.f64 y #s(literal -1/2 binary64))
(* -1/2 y)
(*.f64 y #s(literal -1/2 binary64))
(* -1/2 y)
(*.f64 y #s(literal -1/2 binary64))
(* 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)
(* -1/2 y)
(*.f64 y #s(literal -1/2 binary64))
(- (* x y) (* 1/2 y))
(*.f64 y (+.f64 x #s(literal -1/2 binary64)))
(- (* x y) (* 1/2 y))
(*.f64 y (+.f64 x #s(literal -1/2 binary64)))
(- (* x y) (* 1/2 y))
(*.f64 y (+.f64 x #s(literal -1/2 binary64)))
(* x y)
(*.f64 y x)
(* x (+ y (* -1/2 (/ y x))))
(*.f64 y (+.f64 x #s(literal -1/2 binary64)))
(* x (+ y (* -1/2 (/ y x))))
(*.f64 y (+.f64 x #s(literal -1/2 binary64)))
(* x (+ y (* -1/2 (/ y x))))
(*.f64 y (+.f64 x #s(literal -1/2 binary64)))
(* x y)
(*.f64 y x)
(* -1 (* x (+ (* -1 y) (* 1/2 (/ y x)))))
(*.f64 y (+.f64 x #s(literal -1/2 binary64)))
(* -1 (* x (+ (* -1 y) (* 1/2 (/ y x)))))
(*.f64 y (+.f64 x #s(literal -1/2 binary64)))
(* -1 (* x (+ (* -1 y) (* 1/2 (/ y x)))))
(*.f64 y (+.f64 x #s(literal -1/2 binary64)))
(* y (- x 1/2))
(*.f64 y (+.f64 x #s(literal -1/2 binary64)))
(* y (- x 1/2))
(*.f64 y (+.f64 x #s(literal -1/2 binary64)))
(* y (- x 1/2))
(*.f64 y (+.f64 x #s(literal -1/2 binary64)))
(* y (- x 1/2))
(*.f64 y (+.f64 x #s(literal -1/2 binary64)))
(* y (- x 1/2))
(*.f64 y (+.f64 x #s(literal -1/2 binary64)))
(* y (- x 1/2))
(*.f64 y (+.f64 x #s(literal -1/2 binary64)))
(* y (- x 1/2))
(*.f64 y (+.f64 x #s(literal -1/2 binary64)))
(* y (- x 1/2))
(*.f64 y (+.f64 x #s(literal -1/2 binary64)))
(* -1 (* y (+ 1/2 (* -1 x))))
(*.f64 y (+.f64 x #s(literal -1/2 binary64)))
(* -1 (* y (+ 1/2 (* -1 x))))
(*.f64 y (+.f64 x #s(literal -1/2 binary64)))
(* -1 (* y (+ 1/2 (* -1 x))))
(*.f64 y (+.f64 x #s(literal -1/2 binary64)))
(* -1 (* y (+ 1/2 (* -1 x))))
(*.f64 y (+.f64 x #s(literal -1/2 binary64)))
(* 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)
(* 1/2 y)
(*.f64 y #s(literal 1/2 binary64))
(* 1/2 y)
(*.f64 y #s(literal 1/2 binary64))
(* 1/2 y)
(*.f64 y #s(literal 1/2 binary64))
(* 1/2 y)
(*.f64 y #s(literal 1/2 binary64))
(* 1/2 y)
(*.f64 y #s(literal 1/2 binary64))
(* 1/2 y)
(*.f64 y #s(literal 1/2 binary64))
(* 1/2 y)
(*.f64 y #s(literal 1/2 binary64))
(* 1/2 y)
(*.f64 y #s(literal 1/2 binary64))
(* 1/2 y)
(*.f64 y #s(literal 1/2 binary64))
(* 1/2 y)
(*.f64 y #s(literal 1/2 binary64))
(* 1/2 y)
(*.f64 y #s(literal 1/2 binary64))
(* 1/2 y)
(*.f64 y #s(literal 1/2 binary64))

eval52.0ms (0.8%)

Compiler

Compiled 10449 to 962 computations (90.8% saved)

prune46.0ms (0.7%)

Pruning

9 alts after pruning (0 fresh and 9 done)

PrunedKeptTotal
New4630463
Fresh000
Picked055
Done044
Total4639472
Accuracy
100.0%
Counts
472 → 9
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓50.6%
(-.f64 (*.f64 x y) (*.f64 y #s(literal 1/2 binary64)))
✓75.3%
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 y (-.f64 #s(literal 1/2 binary64) x)))
✓50.7%
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)
✓52.6%
(+.f64 (*.f64 y #s(literal -1/2 binary64)) #s(literal 918938533204673/1000000000000000 binary64))
✓50.6%
(*.f64 y (+.f64 x #s(literal -1/2 binary64)))
✓24.9%
(*.f64 y x)
✓28.1%
(*.f64 y #s(literal -1/2 binary64))
✓48.9%
(*.f64 x (+.f64 y #s(literal -1 binary64)))
✓26.5%
#s(literal 918938533204673/1000000000000000 binary64)
Compiler

Compiled 134 to 71 computations (47% saved)

regimes20.0ms (0.3%)

Counts
13 → 1
Calls
Call 1
Inputs
#s(literal 918938533204673/1000000000000000 binary64)
(*.f64 y #s(literal -1/2 binary64))
(*.f64 y x)
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)
(*.f64 x (+.f64 y #s(literal -1 binary64)))
(*.f64 y (+.f64 x #s(literal -1/2 binary64)))
(+.f64 (*.f64 y #s(literal -1/2 binary64)) #s(literal 918938533204673/1000000000000000 binary64))
(+.f64 (*.f64 y (+.f64 x #s(literal -1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64))
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 y (-.f64 #s(literal 1/2 binary64) x)))
(-.f64 (*.f64 x y) (*.f64 y #s(literal 1/2 binary64)))
(+.f64 (*.f64 y (+.f64 x #s(literal -1/2 binary64))) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x))
(+.f64 (-.f64 (*.f64 x y) (*.f64 y #s(literal 1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64))
(+.f64 (-.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 y #s(literal 1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64))
Outputs
(+.f64 (-.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 y #s(literal 1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64))
Calls

4 calls:

6.0ms
(-.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 y #s(literal 1/2 binary64)))
5.0ms
x
4.0ms
y
4.0ms
(+.f64 (-.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 y #s(literal 1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64))
Results
AccuracySegmentsBranch
100.0%1x
100.0%1y
100.0%1(+.f64 (-.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 y #s(literal 1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64))
100.0%1(-.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 y #s(literal 1/2 binary64)))
Compiler

Compiled 30 to 22 computations (26.7% saved)

regimes22.0ms (0.3%)

Counts
12 → 1
Calls
Call 1
Inputs
#s(literal 918938533204673/1000000000000000 binary64)
(*.f64 y #s(literal -1/2 binary64))
(*.f64 y x)
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)
(*.f64 x (+.f64 y #s(literal -1 binary64)))
(*.f64 y (+.f64 x #s(literal -1/2 binary64)))
(+.f64 (*.f64 y #s(literal -1/2 binary64)) #s(literal 918938533204673/1000000000000000 binary64))
(+.f64 (*.f64 y (+.f64 x #s(literal -1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64))
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 y (-.f64 #s(literal 1/2 binary64) x)))
(-.f64 (*.f64 x y) (*.f64 y #s(literal 1/2 binary64)))
(+.f64 (*.f64 y (+.f64 x #s(literal -1/2 binary64))) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x))
(+.f64 (-.f64 (*.f64 x y) (*.f64 y #s(literal 1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64))
Outputs
(+.f64 (*.f64 y (+.f64 x #s(literal -1/2 binary64))) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x))
Calls

2 calls:

16.0ms
y
4.0ms
x
Results
AccuracySegmentsBranch
100.0%1x
100.0%1y
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes8.0ms (0.1%)

Counts
10 → 3
Calls
Call 1
Inputs
#s(literal 918938533204673/1000000000000000 binary64)
(*.f64 y #s(literal -1/2 binary64))
(*.f64 y x)
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)
(*.f64 x (+.f64 y #s(literal -1 binary64)))
(*.f64 y (+.f64 x #s(literal -1/2 binary64)))
(+.f64 (*.f64 y #s(literal -1/2 binary64)) #s(literal 918938533204673/1000000000000000 binary64))
(+.f64 (*.f64 y (+.f64 x #s(literal -1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64))
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 y (-.f64 #s(literal 1/2 binary64) x)))
(-.f64 (*.f64 x y) (*.f64 y #s(literal 1/2 binary64)))
Outputs
(*.f64 x (+.f64 y #s(literal -1 binary64)))
(+.f64 (*.f64 y (+.f64 x #s(literal -1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64))
(*.f64 x (+.f64 y #s(literal -1 binary64)))
Calls

2 calls:

4.0ms
x
4.0ms
y
Results
AccuracySegmentsBranch
99.0%3x
98.9%3y
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes14.0ms (0.2%)

Counts
7 → 3
Calls
Call 1
Inputs
#s(literal 918938533204673/1000000000000000 binary64)
(*.f64 y #s(literal -1/2 binary64))
(*.f64 y x)
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)
(*.f64 x (+.f64 y #s(literal -1 binary64)))
(*.f64 y (+.f64 x #s(literal -1/2 binary64)))
(+.f64 (*.f64 y #s(literal -1/2 binary64)) #s(literal 918938533204673/1000000000000000 binary64))
Outputs
(*.f64 x (+.f64 y #s(literal -1 binary64)))
(+.f64 (*.f64 y #s(literal -1/2 binary64)) #s(literal 918938533204673/1000000000000000 binary64))
(*.f64 x (+.f64 y #s(literal -1 binary64)))
Calls

2 calls:

3.0ms
x
3.0ms
y
Results
AccuracySegmentsBranch
97.7%3y
98.1%3x
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes6.0ms (0.1%)

Counts
6 → 3
Calls
Call 1
Inputs
#s(literal 918938533204673/1000000000000000 binary64)
(*.f64 y #s(literal -1/2 binary64))
(*.f64 y x)
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)
(*.f64 x (+.f64 y #s(literal -1 binary64)))
(*.f64 y (+.f64 x #s(literal -1/2 binary64)))
Outputs
(*.f64 y (+.f64 x #s(literal -1/2 binary64)))
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)
(*.f64 y (+.f64 x #s(literal -1/2 binary64)))
Calls

2 calls:

3.0ms
x
3.0ms
y
Results
AccuracySegmentsBranch
97.7%3y
80.5%5x
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes5.0ms (0.1%)

Counts
5 → 5
Calls
Call 1
Inputs
#s(literal 918938533204673/1000000000000000 binary64)
(*.f64 y #s(literal -1/2 binary64))
(*.f64 y x)
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)
(*.f64 x (+.f64 y #s(literal -1 binary64)))
Outputs
(*.f64 x (+.f64 y #s(literal -1 binary64)))
(*.f64 y #s(literal -1/2 binary64))
#s(literal 918938533204673/1000000000000000 binary64)
(*.f64 y #s(literal -1/2 binary64))
(*.f64 x (+.f64 y #s(literal -1 binary64)))
Calls

2 calls:

2.0ms
y
2.0ms
x
Results
AccuracySegmentsBranch
79.7%5x
77.6%4y
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes17.0ms (0.3%)

Counts
4 → 4
Calls
Call 1
Inputs
#s(literal 918938533204673/1000000000000000 binary64)
(*.f64 y #s(literal -1/2 binary64))
(*.f64 y x)
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)
Outputs
(*.f64 y x)
(*.f64 y #s(literal -1/2 binary64))
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)
(*.f64 y #s(literal -1/2 binary64))
Calls

2 calls:

2.0ms
y
2.0ms
x
Results
AccuracySegmentsBranch
77.6%4y
61.1%6x
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes4.0ms (0.1%)

Counts
3 → 5
Calls
Call 1
Inputs
#s(literal 918938533204673/1000000000000000 binary64)
(*.f64 y #s(literal -1/2 binary64))
(*.f64 y x)
Outputs
(*.f64 y x)
(*.f64 y #s(literal -1/2 binary64))
#s(literal 918938533204673/1000000000000000 binary64)
(*.f64 y #s(literal -1/2 binary64))
(*.f64 y x)
Calls

2 calls:

2.0ms
x
2.0ms
y
Results
AccuracySegmentsBranch
55.9%5x
53.7%4y
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes4.0ms (0.1%)

Counts
2 → 3
Calls
Call 1
Inputs
#s(literal 918938533204673/1000000000000000 binary64)
(*.f64 y #s(literal -1/2 binary64))
Outputs
(*.f64 y #s(literal -1/2 binary64))
#s(literal 918938533204673/1000000000000000 binary64)
(*.f64 y #s(literal -1/2 binary64))
Calls

2 calls:

2.0ms
x
2.0ms
y
Results
AccuracySegmentsBranch
51.5%3y
34.1%3x
Compiler

Compiled 6 to 4 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 918938533204673/1000000000000000 binary64)
Outputs
#s(literal 918938533204673/1000000000000000 binary64)
Calls

2 calls:

1.0ms
y
1.0ms
x
Results
AccuracySegmentsBranch
26.5%1x
26.5%1y
Compiler

Compiled 6 to 4 computations (33.3% saved)

bsearch56.0ms (0.9%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
25.0ms
157.78635160028125
800767095.6204323
28.0ms
-1358.1886372466022
-0.0013839367880711
Results
37.0ms288×0valid
Compiler

Compiled 342 to 266 computations (22.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 26.0ms
ival-sub: 14.0ms (54.3% of total)
...c/correct-round.rkt:119:19: 6.0ms (23.3% of total)
ival-mult: 4.0ms (15.5% of total)
ival-add: 2.0ms (7.8% of total)
const: 1.0ms (3.9% of total)
backward-pass: 0.0ms (0% of total)

bsearch56.0ms (0.9%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
16.0ms
0.09202542499932496
157.78635160028125
33.0ms
-1358.1886372466022
-0.0013839367880711
Results
35.0ms272×0valid
Compiler

Compiled 290 to 235 computations (19% saved)

Precisions
Click to see histograms. Total time spent on operations: 26.0ms
...c/correct-round.rkt:119:19: 17.0ms (66.6% of total)
ival-mult: 4.0ms (15.7% of total)
ival-sub: 3.0ms (11.8% of total)
ival-add: 1.0ms (3.9% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch91.0ms (1.4%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
21.0ms
0.017583564459958952
608167870.834016
17.0ms
-111170768.88620172
-0.16046285271706487
Results
28.0ms304×0valid
Compiler

Compiled 284 to 223 computations (21.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 16.0ms
...c/correct-round.rkt:119:19: 6.0ms (38.1% of total)
ival-mult: 4.0ms (25.4% of total)
ival-sub: 3.0ms (19.1% of total)
ival-add: 2.0ms (12.7% of total)
const: 1.0ms (6.4% of total)
backward-pass: 0.0ms (0% of total)

bsearch89.0ms (1.4%)

Algorithm
4×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
18.0ms
0.09202542499932496
157.78635160028125
17.0ms
2.0042056945605731e-171
2.3826645543177242e-167
31.0ms
-4.3716516872792295e-185
-4.125311264726475e-194
17.0ms
-1358.1886372466022
-0.0013839367880711
Results
51.0ms544×0valid
Compiler

Compiled 426 to 354 computations (16.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 32.0ms
...c/correct-round.rkt:119:19: 12.0ms (37.8% of total)
ival-mult: 8.0ms (25.2% of total)
ival-sub: 6.0ms (18.9% of total)
ival-add: 5.0ms (15.7% of total)
const: 1.0ms (3.1% of total)
backward-pass: 0.0ms (0% of total)

bsearch71.0ms (1.1%)

Algorithm
3×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
21.0ms
0.017583564459958952
608167870.834016
21.0ms
-111170768.88620172
-0.16046285271706487
22.0ms
-1.308782138113457e+199
-2.7408149995190247e+189
Results
48.0ms464×0valid
Compiler

Compiled 366 to 294 computations (19.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 28.0ms
...c/correct-round.rkt:119:19: 13.0ms (46.1% of total)
ival-mult: 7.0ms (24.8% of total)
ival-sub: 5.0ms (17.7% of total)
ival-add: 3.0ms (10.6% of total)
const: 1.0ms (3.5% of total)
backward-pass: 0.0ms (0% of total)

bsearch79.0ms (1.2%)

Algorithm
4×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
17.0ms
0.09202542499932496
157.78635160028125
18.0ms
2.0042056945605731e-171
2.3826645543177242e-167
17.0ms
-4.3716516872792295e-185
-4.125311264726475e-194
21.0ms
-1642026747770043400.0
-1358.1886372466022
Results
54.0ms560×0valid
Compiler

Compiled 404 to 329 computations (18.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 34.0ms
...c/correct-round.rkt:119:19: 13.0ms (37.8% of total)
ival-sub: 8.0ms (23.3% of total)
ival-mult: 8.0ms (23.3% of total)
ival-add: 5.0ms (14.5% of total)
const: 1.0ms (2.9% of total)
backward-pass: 0.0ms (0% of total)

bsearch124.0ms (1.9%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
17.0ms
608167870.834016
986049403360140.1
36.0ms
-111170768.88620172
-0.16046285271706487
Results
25.0ms288×0valid
Compiler

Compiled 198 to 176 computations (11.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 15.0ms
...c/correct-round.rkt:119:19: 6.0ms (40.7% of total)
ival-mult: 4.0ms (27.1% of total)
ival-sub: 3.0ms (20.3% of total)
ival-add: 1.0ms (6.8% of total)
const: 1.0ms (6.8% of total)
backward-pass: 0.0ms (0% of total)

simplify13.0ms (0.2%)

Algorithm
1×egg-herbie
Rules
26×+-commutative_binary64
22×*-commutative_binary64
16×sub-neg_binary64
10×neg-sub0_binary64
10×neg-mul-1_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
076175
1115175
2131175
3145175
4150175
5151175
Stop Event
1×saturated
Calls
Call 1
Inputs
(+.f64 (-.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 y #s(literal 1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64))
(+.f64 (*.f64 y (+.f64 x #s(literal -1/2 binary64))) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x))
(if (<=.f64 x #s(literal -1350 binary64)) (*.f64 x (+.f64 y #s(literal -1 binary64))) (if (<=.f64 x #s(literal 760000 binary64)) (+.f64 (*.f64 y (+.f64 x #s(literal -1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64)) (*.f64 x (+.f64 y #s(literal -1 binary64)))))
(if (<=.f64 x #s(literal -5854679515581645/9007199254740992 binary64)) (*.f64 x (+.f64 y #s(literal -1 binary64))) (if (<=.f64 x #s(literal 8286623314361713/9007199254740992 binary64)) (+.f64 (*.f64 y #s(literal -1/2 binary64)) #s(literal 918938533204673/1000000000000000 binary64)) (*.f64 x (+.f64 y #s(literal -1 binary64)))))
(if (<=.f64 y #s(literal -3152519739159347/2251799813685248 binary64)) (*.f64 y (+.f64 x #s(literal -1/2 binary64))) (if (<=.f64 y #s(literal 8106479329266893/4503599627370496 binary64)) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) (*.f64 y (+.f64 x #s(literal -1/2 binary64)))))
(if (<=.f64 x #s(literal -6124895493223875/72057594037927936 binary64)) (*.f64 x (+.f64 y #s(literal -1 binary64))) (if (<=.f64 x #s(literal -8573045793650349/1224720827664335609236962600350409901130557945655466490308353887654080091579137561403602952202220552420938147431280980285494456125931768646260680344573194358953094033321469230156313571586348749061881856 binary64)) (*.f64 y #s(literal -1/2 binary64)) (if (<=.f64 x #s(literal 1087770609288739/16996415770136547158066822609678996074546979767265021542382212422412913915547271767653200072487337141404458543559888032491090538804886631661104639320530795262202600666732583009015300096 binary64)) #s(literal 918938533204673/1000000000000000 binary64) (if (<=.f64 x #s(literal 1/2 binary64)) (*.f64 y #s(literal -1/2 binary64)) (*.f64 x (+.f64 y #s(literal -1 binary64)))))))
(if (<=.f64 y #s(literal -5800000000000000181376840005427587944355393800898054599084596667685569599288597251654579853965669729062797242360565149168193287351008834421985647283359177799716794013020519451303159173141936662904832 binary64)) (*.f64 y x) (if (<=.f64 y #s(literal -23 binary64)) (*.f64 y #s(literal -1/2 binary64)) (if (<=.f64 y #s(literal 4165829655317709/2251799813685248 binary64)) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) (*.f64 y #s(literal -1/2 binary64)))))
(if (<=.f64 x #s(literal -1400 binary64)) (*.f64 y x) (if (<=.f64 x #s(literal -4514810859101807/2508228255056559327717299405517639477515382672702395372151508761915556027554073725754578846110147691358081325939263447624692646145908262187541873345685902047135936580242368983360130194608842238078734041088 binary64)) (*.f64 y #s(literal -1/2 binary64)) (if (<=.f64 x #s(literal 5736290322421085/4249103942534136789516705652419749018636744941816255385595553105603228478886817941913300018121834285351114635889972008122772634701221657915276159830132698815550650166683145752253825024 binary64)) #s(literal 918938533204673/1000000000000000 binary64) (if (<=.f64 x #s(literal 1/2 binary64)) (*.f64 y #s(literal -1/2 binary64)) (*.f64 y x)))))
(if (<=.f64 y #s(literal -8106479329266893/4503599627370496 binary64)) (*.f64 y #s(literal -1/2 binary64)) (if (<=.f64 y #s(literal 620000000 binary64)) #s(literal 918938533204673/1000000000000000 binary64) (*.f64 y #s(literal -1/2 binary64))))
#s(literal 918938533204673/1000000000000000 binary64)
Outputs
(+.f64 (-.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 y #s(literal 1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64))
(+.f64 (-.f64 (*.f64 x (+.f64 y #s(literal -1 binary64))) (*.f64 y #s(literal 1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64))
(+.f64 (*.f64 y (+.f64 x #s(literal -1/2 binary64))) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x))
(if (<=.f64 x #s(literal -1350 binary64)) (*.f64 x (+.f64 y #s(literal -1 binary64))) (if (<=.f64 x #s(literal 760000 binary64)) (+.f64 (*.f64 y (+.f64 x #s(literal -1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64)) (*.f64 x (+.f64 y #s(literal -1 binary64)))))
(if (<=.f64 x #s(literal -1350 binary64)) (*.f64 x (+.f64 y #s(literal -1 binary64))) (if (<=.f64 x #s(literal 760000 binary64)) (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 y (+.f64 x #s(literal -1/2 binary64)))) (*.f64 x (+.f64 y #s(literal -1 binary64)))))
(if (<=.f64 x #s(literal -5854679515581645/9007199254740992 binary64)) (*.f64 x (+.f64 y #s(literal -1 binary64))) (if (<=.f64 x #s(literal 8286623314361713/9007199254740992 binary64)) (+.f64 (*.f64 y #s(literal -1/2 binary64)) #s(literal 918938533204673/1000000000000000 binary64)) (*.f64 x (+.f64 y #s(literal -1 binary64)))))
(if (<=.f64 x #s(literal -5854679515581645/9007199254740992 binary64)) (*.f64 x (+.f64 y #s(literal -1 binary64))) (if (<=.f64 x #s(literal 8286623314361713/9007199254740992 binary64)) (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 y #s(literal -1/2 binary64))) (*.f64 x (+.f64 y #s(literal -1 binary64)))))
(if (<=.f64 y #s(literal -3152519739159347/2251799813685248 binary64)) (*.f64 y (+.f64 x #s(literal -1/2 binary64))) (if (<=.f64 y #s(literal 8106479329266893/4503599627370496 binary64)) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) (*.f64 y (+.f64 x #s(literal -1/2 binary64)))))
(if (<=.f64 x #s(literal -6124895493223875/72057594037927936 binary64)) (*.f64 x (+.f64 y #s(literal -1 binary64))) (if (<=.f64 x #s(literal -8573045793650349/1224720827664335609236962600350409901130557945655466490308353887654080091579137561403602952202220552420938147431280980285494456125931768646260680344573194358953094033321469230156313571586348749061881856 binary64)) (*.f64 y #s(literal -1/2 binary64)) (if (<=.f64 x #s(literal 1087770609288739/16996415770136547158066822609678996074546979767265021542382212422412913915547271767653200072487337141404458543559888032491090538804886631661104639320530795262202600666732583009015300096 binary64)) #s(literal 918938533204673/1000000000000000 binary64) (if (<=.f64 x #s(literal 1/2 binary64)) (*.f64 y #s(literal -1/2 binary64)) (*.f64 x (+.f64 y #s(literal -1 binary64)))))))
(if (<=.f64 y #s(literal -5800000000000000181376840005427587944355393800898054599084596667685569599288597251654579853965669729062797242360565149168193287351008834421985647283359177799716794013020519451303159173141936662904832 binary64)) (*.f64 y x) (if (<=.f64 y #s(literal -23 binary64)) (*.f64 y #s(literal -1/2 binary64)) (if (<=.f64 y #s(literal 4165829655317709/2251799813685248 binary64)) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) (*.f64 y #s(literal -1/2 binary64)))))
(if (<=.f64 y #s(literal -5800000000000000181376840005427587944355393800898054599084596667685569599288597251654579853965669729062797242360565149168193287351008834421985647283359177799716794013020519451303159173141936662904832 binary64)) (*.f64 x y) (if (<=.f64 y #s(literal -23 binary64)) (*.f64 y #s(literal -1/2 binary64)) (if (<=.f64 y #s(literal 4165829655317709/2251799813685248 binary64)) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) (*.f64 y #s(literal -1/2 binary64)))))
(if (<=.f64 x #s(literal -1400 binary64)) (*.f64 y x) (if (<=.f64 x #s(literal -4514810859101807/2508228255056559327717299405517639477515382672702395372151508761915556027554073725754578846110147691358081325939263447624692646145908262187541873345685902047135936580242368983360130194608842238078734041088 binary64)) (*.f64 y #s(literal -1/2 binary64)) (if (<=.f64 x #s(literal 5736290322421085/4249103942534136789516705652419749018636744941816255385595553105603228478886817941913300018121834285351114635889972008122772634701221657915276159830132698815550650166683145752253825024 binary64)) #s(literal 918938533204673/1000000000000000 binary64) (if (<=.f64 x #s(literal 1/2 binary64)) (*.f64 y #s(literal -1/2 binary64)) (*.f64 y x)))))
(if (<=.f64 x #s(literal -1400 binary64)) (*.f64 x y) (if (<=.f64 x #s(literal -4514810859101807/2508228255056559327717299405517639477515382672702395372151508761915556027554073725754578846110147691358081325939263447624692646145908262187541873345685902047135936580242368983360130194608842238078734041088 binary64)) (*.f64 y #s(literal -1/2 binary64)) (if (<=.f64 x #s(literal 5736290322421085/4249103942534136789516705652419749018636744941816255385595553105603228478886817941913300018121834285351114635889972008122772634701221657915276159830132698815550650166683145752253825024 binary64)) #s(literal 918938533204673/1000000000000000 binary64) (if (<=.f64 x #s(literal 1/2 binary64)) (*.f64 y #s(literal -1/2 binary64)) (*.f64 x y)))))
(if (<=.f64 y #s(literal -8106479329266893/4503599627370496 binary64)) (*.f64 y #s(literal -1/2 binary64)) (if (<=.f64 y #s(literal 620000000 binary64)) #s(literal 918938533204673/1000000000000000 binary64) (*.f64 y #s(literal -1/2 binary64))))
#s(literal 918938533204673/1000000000000000 binary64)

soundness1.4s (21.8%)

Rules
2654×sum3-define
2214×fma-lowering-fma.f32
2214×fma-lowering-fma.f64
2014×fnmadd-define
1922×fmsub-define
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
082786
1260749
2779728
32140728
46557728
08232728
01010
1279
2699
31599
43458
58908
625588
746808
874228
080118
01221102
14221004
21379953
34685941
08064941
Stop Event
1×done
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
Compiler

Compiled 515 to 312 computations (39.4% saved)

preprocess90.0ms (1.4%)

Compiler

Compiled 412 to 166 computations (59.7% saved)

end0.0ms (0%)

Profiling

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