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

Time bar (total: 7.5s)

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)

sample1.1s (14.8%)

Results
871.0ms8256×0valid
Precisions
Click to see histograms. Total time spent on operations: 541.0ms
...c/correct-round.rkt:119:19: 209.0ms (38.7% of total)
ival-mult: 121.0ms (22.4% of total)
ival-sub: 120.0ms (22.2% of total)
ival-add: 70.0ms (12.9% of total)
const: 16.0ms (3% of total)
backward-pass: 3.0ms (0.6% of total)
Bogosity

preprocess239.0ms (3.2%)

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))))

explain123.0ms (1.6%)

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
82.0ms510×0valid
1.0ms2×1valid
Compiler

Compiled 91 to 32 computations (64.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 32.0ms
...c/correct-round.rkt:119:19: 11.0ms (34.7% of total)
ival-sub: 9.0ms (28.4% of total)
ival-mult: 7.0ms (22.1% of total)
ival-add: 3.0ms (9.5% of total)
const: 1.0ms (3.2% 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)

simplify181.0ms (2.4%)

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-diff0
(+.f64 (-.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 y #s(literal 1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64))
✓cost-diff128
(-.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 y #s(literal 1/2 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)

localize80.0ms (1.1%)

Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
✓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 (*.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 y #s(literal 1/2 binary64)))
✓accuracy100.0%
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)
✓accuracy100.0%
(+.f64 x #s(literal -1/2 binary64))
✓accuracy100.0%
(*.f64 y (+.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))
Results
59.0ms255×0valid
0.0ms1×1valid
Compiler

Compiled 63 to 16 computations (74.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 27.0ms
...c/correct-round.rkt:119:19: 9.0ms (33.3% of total)
ival-add: 8.0ms (29.6% of total)
ival-mult: 5.0ms (18.5% of total)
ival-sub: 4.0ms (14.8% of total)
const: 1.0ms (3.7% of total)
backward-pass: 0.0ms (0% of total)

series11.0ms (0.1%)

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))>
#<alt (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000)>
#<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 (* -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 (- 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 (* 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
2.0ms
y
@0
(* y (+ x -1/2))
1.0ms
x
@inf
(- (* x (- y 1)) (* y 1/2))
1.0ms
y
@inf
(+ (* y (+ x -1/2)) (- 918938533204673/1000000000000000 x))
0.0ms
x
@0
(+ (* y (+ x -1/2)) (- 918938533204673/1000000000000000 x))
0.0ms
y
@-inf
(+ (* y (+ x -1/2)) (- 918938533204673/1000000000000000 x))

rewrite452.0ms (6%)

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))
(+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000)
(* 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 x (+.f64 (*.f64 y y) #s(literal -1 binary64))) (+.f64 y #s(literal 1 binary64)))
(/.f64 (*.f64 (+.f64 (*.f64 y (*.f64 y y)) #s(literal -1 binary64)) x) (+.f64 (*.f64 y y) (+.f64 y #s(literal 1 binary64))))
(/.f64 (*.f64 (+.f64 (*.f64 y y) #s(literal -1 binary64)) x) (+.f64 y #s(literal 1 binary64)))
(/.f64 (neg.f64 (*.f64 x (+.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 (neg.f64 (*.f64 x (+.f64 (*.f64 y y) #s(literal -1 binary64)))) (-.f64 #s(literal 0 binary64) (+.f64 y #s(literal 1 binary64))))
(/.f64 (neg.f64 (*.f64 (+.f64 (*.f64 y (*.f64 y y)) #s(literal -1 binary64)) x)) (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 y y) (+.f64 y #s(literal 1 binary64)))))
(/.f64 (neg.f64 (*.f64 (+.f64 (*.f64 y y) #s(literal -1 binary64)) x)) (-.f64 #s(literal 0 binary64) (+.f64 y #s(literal 1 binary64))))
(/.f64 (+.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y))) (-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x x)))) (+.f64 (*.f64 (*.f64 y x) (*.f64 y x)) (-.f64 (*.f64 x x) (*.f64 (*.f64 y x) (-.f64 #s(literal 0 binary64) x)))))
(/.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)

simplify254.0ms (3.4%)

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
08073941
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)))))
(* -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)))))
(- 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))))))
(* 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 (*.f64 y (+.f64 x #s(literal -1/2 binary64))) x))
(- (+ 918938533204673/1000000000000000 (* y (- x 1/2))) x)
(+.f64 #s(literal 918938533204673/1000000000000000 binary64) (-.f64 (*.f64 y (+.f64 x #s(literal -1/2 binary64))) x))
(- (+ 918938533204673/1000000000000000 (* y (- x 1/2))) x)
(+.f64 #s(literal 918938533204673/1000000000000000 binary64) (-.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 (* 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 (*.f64 y (+.f64 x #s(literal -1/2 binary64))) x))
(+ 918938533204673/1000000000000000 (+ (* -1/2 y) (* x (- y 1))))
(+.f64 #s(literal 918938533204673/1000000000000000 binary64) (-.f64 (*.f64 y (+.f64 x #s(literal -1/2 binary64))) x))
(+ 918938533204673/1000000000000000 (+ (* -1/2 y) (* x (- y 1))))
(+.f64 #s(literal 918938533204673/1000000000000000 binary64) (-.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)) (* 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 (*.f64 y #s(literal -1/2 binary64)) x)))
(* x (+ y (* -1/2 (/ y x))))
(*.f64 x (+.f64 y (/.f64 (*.f64 y #s(literal -1/2 binary64)) x)))
(* x (+ y (* -1/2 (/ y x))))
(*.f64 x (+.f64 y (/.f64 (*.f64 y #s(literal -1/2 binary64)) x)))
(* x y)
(*.f64 x y)
(* -1 (* x (+ (* -1 y) (* 1/2 (/ y x)))))
(*.f64 x (+.f64 y (/.f64 (*.f64 y #s(literal -1/2 binary64)) x)))
(* -1 (* x (+ (* -1 y) (* 1/2 (/ y x)))))
(*.f64 x (+.f64 y (/.f64 (*.f64 y #s(literal -1/2 binary64)) x)))
(* -1 (* x (+ (* -1 y) (* 1/2 (/ y x)))))
(*.f64 x (+.f64 y (/.f64 (*.f64 y #s(literal -1/2 binary64)) 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)))
(* -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 (*.f64 y #s(literal -1/2 binary64)) x))))
(* x (- (+ y (* -1/2 (/ y x))) 1))
(*.f64 x (+.f64 y (+.f64 #s(literal -1 binary64) (/.f64 (*.f64 y #s(literal -1/2 binary64)) x))))
(* x (- (+ y (* -1/2 (/ y x))) 1))
(*.f64 x (+.f64 y (+.f64 #s(literal -1 binary64) (/.f64 (*.f64 y #s(literal -1/2 binary64)) x))))
(* x (- y 1))
(*.f64 x (+.f64 y #s(literal -1 binary64)))
(* -1 (* x (+ (* -1 (- y 1)) (* 1/2 (/ y x)))))
(*.f64 x (+.f64 y (+.f64 #s(literal -1 binary64) (/.f64 (*.f64 y #s(literal -1/2 binary64)) x))))
(* -1 (* x (+ (* -1 (- y 1)) (* 1/2 (/ y x)))))
(*.f64 x (+.f64 y (+.f64 #s(literal -1 binary64) (/.f64 (*.f64 y #s(literal -1/2 binary64)) x))))
(* -1 (* x (+ (* -1 (- y 1)) (* 1/2 (/ y x)))))
(*.f64 x (+.f64 y (+.f64 #s(literal -1 binary64) (/.f64 (*.f64 y #s(literal -1/2 binary64)) 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)
(- 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 (*.f64 y (+.f64 x #s(literal -1/2 binary64))) x))
(- (+ 918938533204673/1000000000000000 (* x (- y 1))) (* 1/2 y))
(+.f64 #s(literal 918938533204673/1000000000000000 binary64) (-.f64 (*.f64 y (+.f64 x #s(literal -1/2 binary64))) x))
(- (+ 918938533204673/1000000000000000 (* x (- y 1))) (* 1/2 y))
(+.f64 #s(literal 918938533204673/1000000000000000 binary64) (-.f64 (*.f64 y (+.f64 x #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 (*.f64 y (+.f64 x #s(literal -1/2 binary64))) x))
(+ 918938533204673/1000000000000000 (+ (* -1 x) (* y (- x 1/2))))
(+.f64 #s(literal 918938533204673/1000000000000000 binary64) (-.f64 (*.f64 y (+.f64 x #s(literal -1/2 binary64))) x))
(+ 918938533204673/1000000000000000 (+ (* -1 x) (* y (- x 1/2))))
(+.f64 #s(literal 918938533204673/1000000000000000 binary64) (-.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)) (* 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)))
(* 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))

eval84.0ms (1.1%)

Compiler

Compiled 18875 to 1748 computations (90.7% saved)

prune77.0ms (1%)

Pruning

9 alts after pruning (7 fresh and 2 done)

PrunedKeptTotal
New6187625
Fresh000
Picked022
Done000
Total6189627
Accuracy
100.0%
Counts
627 → 9
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶55.0%
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)
✓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))
70.6%
(+.f64 (*.f64 y (+.f64 x #s(literal -1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64))
▶78.6%
(+.f64 (*.f64 y x) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x))
75.7%
(+.f64 (*.f64 y #s(literal -1/2 binary64)) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x))
▶47.6%
(+.f64 (*.f64 y #s(literal -1/2 binary64)) #s(literal 918938533204673/1000000000000000 binary64))
▶46.7%
(*.f64 y (+.f64 x #s(literal -1/2 binary64)))
▶53.8%
(*.f64 x (+.f64 y #s(literal -1 binary64)))
Compiler

Compiled 130 to 98 computations (24.6% saved)

simplify89.0ms (1.2%)

Algorithm
1×egg-herbie
Localize:

Found 10 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 #s(literal 918938533204673/1000000000000000 binary64) x)
✓cost-diff0
(*.f64 y x)
✓cost-diff0
(+.f64 (*.f64 y x) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x))
Rules
998×fnmadd-define
782×sum3-define
748×sum5-define
660×fmsub-define
654×fnmsub-define
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01452
13552
26052
39051
414651
534051
691551
7204351
8288651
9333551
10342751
11344851
12346051
13347751
14349151
15349551
0349551
Stop Event
1×iter limit
1×saturated
Calls
Call 1
Inputs
(+ (* y x) (- 918938533204673/1000000000000000 x))
(* y x)
y
x
(- 918938533204673/1000000000000000 x)
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
(+ (* y x) (- 918938533204673/1000000000000000 x))
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) y)))
(* y x)
(*.f64 y x)
y
x
(- 918938533204673/1000000000000000 x)
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)
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)

localize149.0ms (2%)

Localize:

Found 10 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 #s(literal 918938533204673/1000000000000000 binary64) x)
✓accuracy100.0%
(*.f64 y x)
✓accuracy100.0%
(+.f64 (*.f64 y x) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x))
Results
131.0ms256×0valid
Compiler

Compiled 57 to 15 computations (73.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 20.0ms
ival-mult: 7.0ms (35% of total)
ival-add: 5.0ms (25% of total)
...c/correct-round.rkt:119:19: 5.0ms (25% of total)
ival-sub: 2.0ms (10% of total)
const: 1.0ms (5% of total)
backward-pass: 0.0ms (0% of total)

series5.0ms (0.1%)

Counts
9 → 156
Calls
Call 1
Inputs
#<alt (+ (* y x) (- 918938533204673/1000000000000000 x))>
#<alt (* y x)>
#<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 x)>
#<alt (- (+ 918938533204673/1000000000000000 (* x y)) x)>
#<alt (- (+ 918938533204673/1000000000000000 (* x y)) x)>
#<alt (- (+ 918938533204673/1000000000000000 (* x y)) x)>
#<alt (* x y)>
#<alt (* y (- (+ x (* 918938533204673/1000000000000000 (/ 1 y))) (/ x y)))>
#<alt (* y (- (+ x (* 918938533204673/1000000000000000 (/ 1 y))) (/ x y)))>
#<alt (* y (- (+ x (* 918938533204673/1000000000000000 (/ 1 y))) (/ x y)))>
#<alt (* x y)>
#<alt (* -1 (* y (+ (* -1 x) (* -1 (/ (- 918938533204673/1000000000000000 x) y)))))>
#<alt (* -1 (* y (+ (* -1 x) (* -1 (/ (- 918938533204673/1000000000000000 x) y)))))>
#<alt (* -1 (* y (+ (* -1 x) (* -1 (/ (- 918938533204673/1000000000000000 x) y)))))>
#<alt 918938533204673/1000000000000000>
#<alt (+ 918938533204673/1000000000000000 (* x (- y 1)))>
#<alt (+ 918938533204673/1000000000000000 (* x (- y 1)))>
#<alt (+ 918938533204673/1000000000000000 (* x (- y 1)))>
#<alt (* x (- y 1))>
#<alt (* x (- (+ y (* 918938533204673/1000000000000000 (/ 1 x))) 1))>
#<alt (* x (- (+ y (* 918938533204673/1000000000000000 (/ 1 x))) 1))>
#<alt (* x (- (+ y (* 918938533204673/1000000000000000 (/ 1 x))) 1))>
#<alt (* -1 (* x (+ 1 (* -1 y))))>
#<alt (* -1 (* x (- (+ 1 (* -1 y)) (* 918938533204673/1000000000000000 (/ 1 x)))))>
#<alt (* -1 (* x (- (+ 1 (* -1 y)) (* 918938533204673/1000000000000000 (/ 1 x)))))>
#<alt (* -1 (* x (- (+ 1 (* -1 y)) (* 918938533204673/1000000000000000 (/ 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 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

39 calls:

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

rewrite339.0ms (4.5%)

Algorithm
1×batch-egg-rewrite
Rules
4668×*-lowering-*.f32
4668×*-lowering-*.f64
3700×/-lowering-/.f32
3700×/-lowering-/.f64
2122×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01435
19735
278235
0879135
Stop Event
1×iter limit
1×node limit
Counts
9 → 340
Calls
Call 1
Inputs
(+ (* y x) (- 918938533204673/1000000000000000 x))
(* y x)
(- 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 y x) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x))
(+.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 x (+.f64 y #s(literal -1 binary64))))
(+.f64 #s(literal 918938533204673/1000000000000000 binary64) (neg.f64 (-.f64 x (*.f64 y x))))
(+.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) (*.f64 y x))
(+.f64 (*.f64 x (+.f64 y #s(literal -1 binary64))) #s(literal 918938533204673/1000000000000000 binary64))
(+.f64 (-.f64 #s(literal 0 binary64) x) (+.f64 (*.f64 y x) #s(literal 918938533204673/1000000000000000 binary64)))
(+.f64 (+.f64 (*.f64 y x) #s(literal 918938533204673/1000000000000000 binary64)) (-.f64 #s(literal 0 binary64) x))
(+.f64 (/.f64 (*.f64 y (*.f64 y (*.f64 x x))) (-.f64 (*.f64 x (+.f64 y #s(literal 1 binary64))) #s(literal 918938533204673/1000000000000000 binary64))) (neg.f64 (/.f64 (*.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) (-.f64 (*.f64 x (+.f64 y #s(literal 1 binary64))) #s(literal 918938533204673/1000000000000000 binary64)))))
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (-.f64 x (*.f64 y x)))
(-.f64 (+.f64 (*.f64 y x) #s(literal 918938533204673/1000000000000000 binary64)) x)
(-.f64 (/.f64 #s(literal 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 binary64) (+.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (*.f64 x (+.f64 x #s(literal 918938533204673/1000000000000000 binary64))))) (-.f64 (/.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (*.f64 x (+.f64 x #s(literal 918938533204673/1000000000000000 binary64))))) (*.f64 y x)))
(-.f64 (/.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (+.f64 x #s(literal 918938533204673/1000000000000000 binary64))) (-.f64 (/.f64 (*.f64 x x) (+.f64 x #s(literal 918938533204673/1000000000000000 binary64))) (*.f64 y x)))
(-.f64 (/.f64 (*.f64 y (*.f64 y (*.f64 x x))) (-.f64 (*.f64 x (+.f64 y #s(literal 1 binary64))) #s(literal 918938533204673/1000000000000000 binary64))) (/.f64 (*.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) (-.f64 (*.f64 x (+.f64 y #s(literal 1 binary64))) #s(literal 918938533204673/1000000000000000 binary64))))
(-.f64 (/.f64 (*.f64 (+.f64 (*.f64 y x) #s(literal 918938533204673/1000000000000000 binary64)) (*.f64 (+.f64 (*.f64 y x) #s(literal 918938533204673/1000000000000000 binary64)) (+.f64 (*.f64 y x) #s(literal 918938533204673/1000000000000000 binary64)))) (+.f64 (*.f64 (+.f64 (*.f64 y x) #s(literal 918938533204673/1000000000000000 binary64)) (+.f64 (*.f64 y x) #s(literal 918938533204673/1000000000000000 binary64))) (*.f64 x (+.f64 x (+.f64 (*.f64 y x) #s(literal 918938533204673/1000000000000000 binary64)))))) (/.f64 (*.f64 x (*.f64 x x)) (+.f64 (*.f64 (+.f64 (*.f64 y x) #s(literal 918938533204673/1000000000000000 binary64)) (+.f64 (*.f64 y x) #s(literal 918938533204673/1000000000000000 binary64))) (*.f64 x (+.f64 x (+.f64 (*.f64 y x) #s(literal 918938533204673/1000000000000000 binary64)))))))
(-.f64 (/.f64 (*.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) (+.f64 x (*.f64 y x)))) (/.f64 (*.f64 y (*.f64 y (*.f64 x x))) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) (+.f64 x (*.f64 y x)))))
(-.f64 (/.f64 (*.f64 (+.f64 (*.f64 y x) #s(literal 918938533204673/1000000000000000 binary64)) (+.f64 (*.f64 y x) #s(literal 918938533204673/1000000000000000 binary64))) (+.f64 (*.f64 y x) (+.f64 x #s(literal 918938533204673/1000000000000000 binary64)))) (/.f64 (*.f64 x x) (+.f64 (*.f64 y x) (+.f64 x #s(literal 918938533204673/1000000000000000 binary64)))))
(-.f64 (+.f64 (*.f64 y x) (/.f64 #s(literal 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 binary64) (+.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (*.f64 x (+.f64 x #s(literal 918938533204673/1000000000000000 binary64)))))) (/.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (*.f64 x (+.f64 x #s(literal 918938533204673/1000000000000000 binary64))))))
(-.f64 (+.f64 (*.f64 y x) (/.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (+.f64 x #s(literal 918938533204673/1000000000000000 binary64)))) (/.f64 (*.f64 x x) (+.f64 x #s(literal 918938533204673/1000000000000000 binary64))))
(-.f64 (+.f64 (+.f64 (*.f64 y x) #s(literal 918938533204673/1000000000000000 binary64)) #s(literal 0 binary64)) x)
(fma.f64 y x (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x))
(fma.f64 x y (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x))
(fma.f64 (-.f64 #s(literal 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 binary64) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (*.f64 x (+.f64 x #s(literal 918938533204673/1000000000000000 binary64))))) (*.f64 y x))
(fma.f64 (-.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 918938533204673/1000000000000000 binary64))) (*.f64 y x))
(neg.f64 (/.f64 (+.f64 (*.f64 (*.f64 y x) (*.f64 y (*.f64 y (*.f64 x x)))) (*.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) (*.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)))) (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 y (*.f64 y (*.f64 x x))) (*.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) (+.f64 x (*.f64 y x))))))))
(neg.f64 (/.f64 (*.f64 (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 x (+.f64 y #s(literal -1 binary64)))) (-.f64 (*.f64 x (+.f64 y #s(literal 1 binary64))) #s(literal 918938533204673/1000000000000000 binary64))) (-.f64 #s(literal 0 binary64) (-.f64 (*.f64 x (+.f64 y #s(literal 1 binary64))) #s(literal 918938533204673/1000000000000000 binary64)))))
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 (*.f64 y x) (*.f64 y (*.f64 y (*.f64 x x)))) (*.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) (*.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x))))) (+.f64 (*.f64 y (*.f64 y (*.f64 x x))) (*.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) (+.f64 x (*.f64 y x)))))))
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 x (+.f64 y #s(literal -1 binary64)))) (-.f64 (*.f64 x (+.f64 y #s(literal 1 binary64))) #s(literal 918938533204673/1000000000000000 binary64)))) (-.f64 (*.f64 x (+.f64 y #s(literal 1 binary64))) #s(literal 918938533204673/1000000000000000 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 x (+.f64 y #s(literal -1 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 x (+.f64 y #s(literal -1 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 x (+.f64 y #s(literal -1 binary64))))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) (*.f64 (*.f64 y x) (-.f64 (*.f64 x (+.f64 y #s(literal 1 binary64))) #s(literal 918938533204673/1000000000000000 binary64)))) (+.f64 (*.f64 (*.f64 y x) (*.f64 y (*.f64 y (*.f64 x x)))) (*.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) (*.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 (+.f64 (*.f64 y x) #s(literal 918938533204673/1000000000000000 binary64)) (+.f64 (*.f64 y x) #s(literal 918938533204673/1000000000000000 binary64))) (*.f64 x (+.f64 x (+.f64 (*.f64 y x) #s(literal 918938533204673/1000000000000000 binary64))))) (-.f64 (*.f64 (+.f64 (*.f64 y x) #s(literal 918938533204673/1000000000000000 binary64)) (*.f64 (+.f64 (*.f64 y x) #s(literal 918938533204673/1000000000000000 binary64)) (+.f64 (*.f64 y x) #s(literal 918938533204673/1000000000000000 binary64)))) (*.f64 x (*.f64 x x)))))
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(/.f64 (*.f64 (+.f64 (*.f64 (*.f64 y (*.f64 y (*.f64 y y))) #s(literal 1/16 binary64)) #s(literal -713092471669421822382614706812434602753285766506341485751041/1000000000000000000000000000000000000000000000000000000000000 binary64)) #s(literal 1 binary64)) (*.f64 (+.f64 (*.f64 y (*.f64 y #s(literal 1/4 binary64))) #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64)) (+.f64 (*.f64 y #s(literal -1/2 binary64)) #s(literal -918938533204673/1000000000000000 binary64))))
(/.f64 (neg.f64 (+.f64 #s(literal -775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 binary64) (neg.f64 (*.f64 y (*.f64 (*.f64 y y) #s(literal -1/8 binary64)))))) (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 y (*.f64 y #s(literal 1/4 binary64))) (-.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (*.f64 y #s(literal -918938533204673/2000000000000000 binary64)))))))
(/.f64 (neg.f64 (+.f64 (neg.f64 (*.f64 y (*.f64 y #s(literal 1/4 binary64)))) #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64))) (neg.f64 (+.f64 (*.f64 y #s(literal 1/2 binary64)) #s(literal 918938533204673/1000000000000000 binary64))))
(/.f64 (neg.f64 (+.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 y y)))) (neg.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 y #s(literal -1/2 binary64)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 y (*.f64 y #s(literal 1/4 binary64))) (+.f64 (*.f64 y #s(literal -1/2 binary64)) #s(literal -918938533204673/1000000000000000 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (+.f64 (*.f64 y #s(literal -1/2 binary64)) #s(literal -918938533204673/1000000000000000 binary64))) #s(literal 3 binary64))) (+.f64 (*.f64 (/.f64 (*.f64 y (*.f64 y #s(literal 1/4 binary64))) (+.f64 (*.f64 y #s(literal -1/2 binary64)) #s(literal -918938533204673/1000000000000000 binary64))) (/.f64 (*.f64 y (*.f64 y #s(literal 1/4 binary64))) (+.f64 (*.f64 y #s(literal -1/2 binary64)) #s(literal -918938533204673/1000000000000000 binary64)))) (+.f64 (*.f64 (/.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (+.f64 (*.f64 y #s(literal -1/2 binary64)) #s(literal -918938533204673/1000000000000000 binary64))) (/.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (+.f64 (*.f64 y #s(literal -1/2 binary64)) #s(literal -918938533204673/1000000000000000 binary64)))) (*.f64 (/.f64 (*.f64 y (*.f64 y #s(literal 1/4 binary64))) (+.f64 (*.f64 y #s(literal -1/2 binary64)) #s(literal -918938533204673/1000000000000000 binary64))) (/.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (+.f64 (*.f64 y #s(literal -1/2 binary64)) #s(literal -918938533204673/1000000000000000 binary64)))))))
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 y (*.f64 y #s(literal 1/4 binary64))) (+.f64 (*.f64 y #s(literal -1/2 binary64)) #s(literal -918938533204673/1000000000000000 binary64))) (/.f64 (*.f64 y (*.f64 y #s(literal 1/4 binary64))) (+.f64 (*.f64 y #s(literal -1/2 binary64)) #s(literal -918938533204673/1000000000000000 binary64)))) (*.f64 (/.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (+.f64 (*.f64 y #s(literal -1/2 binary64)) #s(literal -918938533204673/1000000000000000 binary64))) (/.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (+.f64 (*.f64 y #s(literal -1/2 binary64)) #s(literal -918938533204673/1000000000000000 binary64))))) (+.f64 (/.f64 (*.f64 y (*.f64 y #s(literal 1/4 binary64))) (+.f64 (*.f64 y #s(literal -1/2 binary64)) #s(literal -918938533204673/1000000000000000 binary64))) (/.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (+.f64 (*.f64 y #s(literal -1/2 binary64)) #s(literal -918938533204673/1000000000000000 binary64)))))
(/.f64 (*.f64 (+.f64 (*.f64 y (*.f64 (*.f64 y y) #s(literal -1/8 binary64))) #s(literal 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 binary64)) #s(literal 1 binary64)) (+.f64 (*.f64 y (*.f64 y #s(literal 1/4 binary64))) (-.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (*.f64 y #s(literal -918938533204673/2000000000000000 binary64)))))
(/.f64 (*.f64 (+.f64 (*.f64 y (*.f64 y #s(literal 1/4 binary64))) #s(literal -844448027808355901771309036929/1000000000000000000000000000000 binary64)) #s(literal 1 binary64)) (+.f64 (*.f64 y #s(literal -1/2 binary64)) #s(literal -918938533204673/1000000000000000 binary64)))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 y #s(literal -1/2 binary64)))) #s(literal -1 binary64))
(*.f64 (+.f64 (*.f64 y (*.f64 (*.f64 y y) #s(literal -1/8 binary64))) #s(literal 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 y (*.f64 y #s(literal 1/4 binary64))) (-.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (*.f64 y #s(literal -918938533204673/2000000000000000 binary64))))))
(*.f64 (+.f64 (*.f64 y (*.f64 (*.f64 y y) #s(literal -1/8 binary64))) #s(literal 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (*.f64 y (-.f64 (*.f64 y #s(literal 1/4 binary64)) #s(literal -918938533204673/2000000000000000 binary64))))))
(*.f64 #s(literal 1 binary64) (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 y #s(literal -1/2 binary64))))
(*.f64 (+.f64 (*.f64 y (*.f64 y #s(literal 1/4 binary64))) #s(literal -844448027808355901771309036929/1000000000000000000000000000000 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 y #s(literal -1/2 binary64)) #s(literal -918938533204673/1000000000000000 binary64))))
(*.f64 (+.f64 #s(literal -775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 binary64) (neg.f64 (*.f64 y (*.f64 (*.f64 y y) #s(literal -1/8 binary64))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 y (*.f64 y #s(literal 1/4 binary64))) (-.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (*.f64 y #s(literal -918938533204673/2000000000000000 binary64)))))))
(*.f64 (+.f64 (neg.f64 (*.f64 y (*.f64 y #s(literal 1/4 binary64)))) #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 y #s(literal 1/2 binary64)) #s(literal 918938533204673/1000000000000000 binary64))))
(*.f64 (+.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 y y))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 y #s(literal -1/2 binary64)))))
(*.f64 y #s(literal -1/2 binary64))
(*.f64 #s(literal -1/2 binary64) y)

simplify355.0ms (4.7%)

Algorithm
1×egg-herbie
Rules
1908×*-lowering-*.f32
1908×*-lowering-*.f64
1636×sum5-define
1502×fma-define
1484×times-frac
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
080625
1256575
2743575
32198575
47172575
08439575
Stop Event
1×iter limit
1×node limit
Counts
156 → 156
Calls
Call 1
Inputs
(- 918938533204673/1000000000000000 x)
(- (+ 918938533204673/1000000000000000 (* x y)) x)
(- (+ 918938533204673/1000000000000000 (* x y)) x)
(- (+ 918938533204673/1000000000000000 (* x y)) x)
(* x y)
(* y (- (+ x (* 918938533204673/1000000000000000 (/ 1 y))) (/ x y)))
(* y (- (+ x (* 918938533204673/1000000000000000 (/ 1 y))) (/ x y)))
(* y (- (+ x (* 918938533204673/1000000000000000 (/ 1 y))) (/ x y)))
(* x y)
(* -1 (* y (+ (* -1 x) (* -1 (/ (- 918938533204673/1000000000000000 x) y)))))
(* -1 (* y (+ (* -1 x) (* -1 (/ (- 918938533204673/1000000000000000 x) y)))))
(* -1 (* y (+ (* -1 x) (* -1 (/ (- 918938533204673/1000000000000000 x) y)))))
918938533204673/1000000000000000
(+ 918938533204673/1000000000000000 (* x (- y 1)))
(+ 918938533204673/1000000000000000 (* x (- y 1)))
(+ 918938533204673/1000000000000000 (* x (- y 1)))
(* x (- y 1))
(* x (- (+ y (* 918938533204673/1000000000000000 (/ 1 x))) 1))
(* x (- (+ y (* 918938533204673/1000000000000000 (/ 1 x))) 1))
(* x (- (+ y (* 918938533204673/1000000000000000 (/ 1 x))) 1))
(* -1 (* x (+ 1 (* -1 y))))
(* -1 (* x (- (+ 1 (* -1 y)) (* 918938533204673/1000000000000000 (/ 1 x)))))
(* -1 (* x (- (+ 1 (* -1 y)) (* 918938533204673/1000000000000000 (/ 1 x)))))
(* -1 (* x (- (+ 1 (* -1 y)) (* 918938533204673/1000000000000000 (/ 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)
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 x)
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)
(- (+ 918938533204673/1000000000000000 (* x y)) x)
(+.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 x (+.f64 y #s(literal -1 binary64))))
(- (+ 918938533204673/1000000000000000 (* x y)) x)
(+.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 x (+.f64 y #s(literal -1 binary64))))
(- (+ 918938533204673/1000000000000000 (* x y)) x)
(+.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 x (+.f64 y #s(literal -1 binary64))))
(* x y)
(*.f64 x y)
(* y (- (+ x (* 918938533204673/1000000000000000 (/ 1 y))) (/ x y)))
(+.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 x (+.f64 y #s(literal -1 binary64))))
(* y (- (+ x (* 918938533204673/1000000000000000 (/ 1 y))) (/ x y)))
(+.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 x (+.f64 y #s(literal -1 binary64))))
(* y (- (+ x (* 918938533204673/1000000000000000 (/ 1 y))) (/ x y)))
(+.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 x (+.f64 y #s(literal -1 binary64))))
(* x y)
(*.f64 x y)
(* -1 (* y (+ (* -1 x) (* -1 (/ (- 918938533204673/1000000000000000 x) y)))))
(+.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 x (+.f64 y #s(literal -1 binary64))))
(* -1 (* y (+ (* -1 x) (* -1 (/ (- 918938533204673/1000000000000000 x) y)))))
(+.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 x (+.f64 y #s(literal -1 binary64))))
(* -1 (* y (+ (* -1 x) (* -1 (/ (- 918938533204673/1000000000000000 x) y)))))
(+.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 x (+.f64 y #s(literal -1 binary64))))
918938533204673/1000000000000000
#s(literal 918938533204673/1000000000000000 binary64)
(+ 918938533204673/1000000000000000 (* x (- y 1)))
(+.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 x (+.f64 y #s(literal -1 binary64))))
(+ 918938533204673/1000000000000000 (* x (- y 1)))
(+.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 x (+.f64 y #s(literal -1 binary64))))
(+ 918938533204673/1000000000000000 (* x (- y 1)))
(+.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 x (+.f64 y #s(literal -1 binary64))))
(* x (- y 1))
(*.f64 x (+.f64 y #s(literal -1 binary64)))
(* x (- (+ y (* 918938533204673/1000000000000000 (/ 1 x))) 1))
(+.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 x (+.f64 y #s(literal -1 binary64))))
(* x (- (+ y (* 918938533204673/1000000000000000 (/ 1 x))) 1))
(+.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 x (+.f64 y #s(literal -1 binary64))))
(* x (- (+ y (* 918938533204673/1000000000000000 (/ 1 x))) 1))
(+.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 x (+.f64 y #s(literal -1 binary64))))
(* -1 (* x (+ 1 (* -1 y))))
(*.f64 x (+.f64 y #s(literal -1 binary64)))
(* -1 (* x (- (+ 1 (* -1 y)) (* 918938533204673/1000000000000000 (/ 1 x)))))
(+.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 x (+.f64 y #s(literal -1 binary64))))
(* -1 (* x (- (+ 1 (* -1 y)) (* 918938533204673/1000000000000000 (/ 1 x)))))
(+.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 x (+.f64 y #s(literal -1 binary64))))
(* -1 (* x (- (+ 1 (* -1 y)) (* 918938533204673/1000000000000000 (/ 1 x)))))
(+.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 x (+.f64 y #s(literal -1 binary64))))
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x 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 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))
(* 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 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 x y)
(* -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))

eval141.0ms (1.9%)

Compiler

Compiled 9398 to 1053 computations (88.8% saved)

prune61.0ms (0.8%)

Pruning

12 alts after pruning (6 fresh and 6 done)

PrunedKeptTotal
New5484552
Fresh022
Picked145
Done022
Total54912561
Accuracy
100.0%
Counts
561 → 12
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶53.8%
(-.f64 (*.f64 y x) x)
✓55.0%
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)
✓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))
70.6%
(+.f64 (*.f64 y (+.f64 x #s(literal -1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64))
▶75.7%
(+.f64 (*.f64 y #s(literal -1/2 binary64)) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x))
✓47.6%
(+.f64 (*.f64 y #s(literal -1/2 binary64)) #s(literal 918938533204673/1000000000000000 binary64))
✓46.7%
(*.f64 y (+.f64 x #s(literal -1/2 binary64)))
▶25.6%
(*.f64 y x)
▶23.6%
(*.f64 y #s(literal -1/2 binary64))
✓53.8%
(*.f64 x (+.f64 y #s(literal -1 binary64)))
▶26.8%
#s(literal 918938533204673/1000000000000000 binary64)
Compiler

Compiled 126 to 94 computations (25.4% saved)

simplify121.0ms (1.6%)

Algorithm
1×egg-herbie
Localize:

Found 7 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(*.f64 y x)
✓cost-diff0
(-.f64 (*.f64 y x) x)
✓cost-diff0
(*.f64 y x)
✓cost-diff0
(*.f64 y #s(literal -1/2 binary64))
✓cost-diff0
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)
✓cost-diff0
(*.f64 y #s(literal -1/2 binary64))
✓cost-diff0
(+.f64 (*.f64 y #s(literal -1/2 binary64)) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x))
Rules
714×fnmadd-define
666×sum3-define
576×sum5-define
526×fmsub-define
510×fnmsub-define
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0936
12036
23836
37736
414736
530936
676436
7150236
8239536
9261836
10265336
0265336
Stop Event
1×iter limit
1×saturated
Calls
Call 1
Inputs
(+ (* y -1/2) (- 918938533204673/1000000000000000 x))
(* y -1/2)
y
-1/2
(- 918938533204673/1000000000000000 x)
918938533204673/1000000000000000
x
918938533204673/1000000000000000
(* y -1/2)
y
-1/2
(* y x)
y
x
(- (* y x) x)
(* y x)
y
x
Outputs
(+ (* y -1/2) (- 918938533204673/1000000000000000 x))
(+.f64 #s(literal 918938533204673/1000000000000000 binary64) (-.f64 (*.f64 y #s(literal -1/2 binary64)) x))
(* y -1/2)
(*.f64 y #s(literal -1/2 binary64))
y
-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
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
(- (* y x) x)
(*.f64 x (+.f64 y #s(literal -1 binary64)))
(* y x)
(*.f64 y x)
y
x

localize83.0ms (1.1%)

Localize:

Found 7 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(*.f64 y x)
✓accuracy100.0%
(-.f64 (*.f64 y x) x)
✓accuracy100.0%
(*.f64 y x)
✓accuracy100.0%
(*.f64 y #s(literal -1/2 binary64))
✓accuracy100.0%
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)
✓accuracy100.0%
(+.f64 (*.f64 y #s(literal -1/2 binary64)) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x))
✓accuracy100.0%
(*.f64 y #s(literal -1/2 binary64))
Results
68.0ms256×0valid
Compiler

Compiled 41 to 10 computations (75.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 25.0ms
...c/correct-round.rkt:119:19: 16.0ms (63% of total)
ival-mult: 4.0ms (15.8% 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)

series2.0ms (0%)

Counts
5 → 96
Calls
Call 1
Inputs
#<alt (+ (* y -1/2) (- 918938533204673/1000000000000000 x))>
#<alt (* y -1/2)>
#<alt (- 918938533204673/1000000000000000 x)>
#<alt (* y x)>
#<alt (- (* y x) x)>
Outputs
#<alt (- 918938533204673/1000000000000000 x)>
#<alt (- (+ 918938533204673/1000000000000000 (* -1/2 y)) x)>
#<alt (- (+ 918938533204673/1000000000000000 (* -1/2 y)) x)>
#<alt (- (+ 918938533204673/1000000000000000 (* -1/2 y)) x)>
#<alt (* -1/2 y)>
#<alt (* y (- (* 918938533204673/1000000000000000 (/ 1 y)) (+ 1/2 (/ x y))))>
#<alt (* y (- (* 918938533204673/1000000000000000 (/ 1 y)) (+ 1/2 (/ x y))))>
#<alt (* y (- (* 918938533204673/1000000000000000 (/ 1 y)) (+ 1/2 (/ x y))))>
#<alt (* -1/2 y)>
#<alt (* -1 (* y (+ 1/2 (* -1 (/ (- 918938533204673/1000000000000000 x) y)))))>
#<alt (* -1 (* y (+ 1/2 (* -1 (/ (- 918938533204673/1000000000000000 x) y)))))>
#<alt (* -1 (* y (+ 1/2 (* -1 (/ (- 918938533204673/1000000000000000 x) y)))))>
#<alt (+ 918938533204673/1000000000000000 (* -1/2 y))>
#<alt (+ 918938533204673/1000000000000000 (+ (* -1 x) (* -1/2 y)))>
#<alt (+ 918938533204673/1000000000000000 (+ (* -1 x) (* -1/2 y)))>
#<alt (+ 918938533204673/1000000000000000 (+ (* -1 x) (* -1/2 y)))>
#<alt (* -1 x)>
#<alt (* x (- (+ (* -1/2 (/ y x)) (* 918938533204673/1000000000000000 (/ 1 x))) 1))>
#<alt (* x (- (+ (* -1/2 (/ y x)) (* 918938533204673/1000000000000000 (/ 1 x))) 1))>
#<alt (* x (- (+ (* -1/2 (/ y x)) (* 918938533204673/1000000000000000 (/ 1 x))) 1))>
#<alt (* -1 x)>
#<alt (* -1 (* x (+ 1 (* -1 (/ (+ 918938533204673/1000000000000000 (* -1/2 y)) x)))))>
#<alt (* -1 (* x (+ 1 (* -1 (/ (+ 918938533204673/1000000000000000 (* -1/2 y)) x)))))>
#<alt (* -1 (* x (+ 1 (* -1 (/ (+ 918938533204673/1000000000000000 (* -1/2 y)) 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 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)>
#<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 x)>
#<alt (- (* x y) x)>
#<alt (- (* x y) x)>
#<alt (- (* x y) x)>
#<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 (* 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 (+ 1 (* -1 y))))>
#<alt (* -1 (* x (+ 1 (* -1 y))))>
#<alt (* -1 (* x (+ 1 (* -1 y))))>
#<alt (* -1 (* x (+ 1 (* -1 y))))>
Calls

24 calls:

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

rewrite347.0ms (4.6%)

Algorithm
1×batch-egg-rewrite
Rules
4236×*-lowering-*.f32
4236×*-lowering-*.f64
3066×/-lowering-/.f32
3066×/-lowering-/.f64
1524×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0919
15719
250619
3760019
0821419
Stop Event
1×iter limit
1×node limit
Counts
5 → 220
Calls
Call 1
Inputs
(+ (* y -1/2) (- 918938533204673/1000000000000000 x))
(* y -1/2)
(- 918938533204673/1000000000000000 x)
(* y x)
(- (* y x) x)
Outputs
(+.f64 (*.f64 y #s(literal -1/2 binary64)) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x))
(+.f64 #s(literal 918938533204673/1000000000000000 binary64) (-.f64 #s(literal 0 binary64) (-.f64 x (*.f64 y #s(literal -1/2 binary64)))))
(+.f64 #s(literal 918938533204673/1000000000000000 binary64) (neg.f64 (-.f64 x (*.f64 y #s(literal -1/2 binary64)))))
(+.f64 #s(literal 918938533204673/1000000000000000 binary64) (-.f64 (*.f64 y #s(literal -1/2 binary64)) x))
(+.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) (*.f64 y #s(literal -1/2 binary64)))
(+.f64 (-.f64 #s(literal 0 binary64) x) (+.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 #s(literal 0 binary64) x))
(+.f64 (/.f64 (*.f64 y (*.f64 y #s(literal 1/4 binary64))) (+.f64 x (+.f64 (*.f64 y #s(literal -1/2 binary64)) #s(literal -918938533204673/1000000000000000 binary64)))) (neg.f64 (/.f64 (*.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) (+.f64 x (+.f64 (*.f64 y #s(literal -1/2 binary64)) #s(literal -918938533204673/1000000000000000 binary64))))))
(+.f64 (-.f64 #s(literal 0 binary64) (-.f64 x (*.f64 y #s(literal -1/2 binary64)))) #s(literal 918938533204673/1000000000000000 binary64))
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (-.f64 x (*.f64 y #s(literal -1/2 binary64))))
(-.f64 (+.f64 (*.f64 y #s(literal -1/2 binary64)) #s(literal 918938533204673/1000000000000000 binary64)) x)
(-.f64 (/.f64 #s(literal 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 binary64) (+.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (*.f64 x (+.f64 #s(literal 918938533204673/1000000000000000 binary64) x)))) (-.f64 (/.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (*.f64 x (+.f64 #s(literal 918938533204673/1000000000000000 binary64) x)))) (*.f64 y #s(literal -1/2 binary64))))
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(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 (*.f64 y x) (*.f64 y (*.f64 y (*.f64 x x)))) (*.f64 (*.f64 y x) (*.f64 (*.f64 y (*.f64 y (*.f64 x x))) (*.f64 (*.f64 y x) (*.f64 y (*.f64 y (*.f64 x x))))))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))) #s(literal 1 binary64)) (*.f64 (+.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (+.f64 (*.f64 y (*.f64 y y)) #s(literal 1 binary64)) (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 y x) (*.f64 (*.f64 y (*.f64 y (*.f64 x x))) (*.f64 (*.f64 y x) (*.f64 y (*.f64 y (*.f64 x x))))))) (*.f64 x (+.f64 (*.f64 y (*.f64 y x)) (*.f64 x (+.f64 y #s(literal 1 binary64)))))))
(/.f64 (*.f64 (*.f64 (*.f64 (+.f64 (*.f64 y (*.f64 y y)) #s(literal 1 binary64)) (*.f64 x (*.f64 x x))) (-.f64 (*.f64 (*.f64 y x) (*.f64 y (*.f64 y (*.f64 x x)))) (*.f64 x (*.f64 x x)))) #s(literal 1 binary64)) (*.f64 (*.f64 (+.f64 (*.f64 y (*.f64 y y)) #s(literal 1 binary64)) (*.f64 x (*.f64 x x))) (*.f64 x (+.f64 (*.f64 y (*.f64 y x)) (*.f64 x (+.f64 y #s(literal 1 binary64)))))))
(/.f64 (*.f64 (*.f64 (*.f64 (+.f64 (*.f64 y (*.f64 y y)) #s(literal 1 binary64)) (*.f64 x (*.f64 x x))) (-.f64 (*.f64 (*.f64 y x) (*.f64 y (*.f64 y (*.f64 x x)))) (*.f64 x (*.f64 x x)))) #s(literal 1 binary64)) (*.f64 (+.f64 (*.f64 y (*.f64 (*.f64 y (*.f64 x x)) (*.f64 y (*.f64 y (*.f64 x x))))) (*.f64 (*.f64 x x) (*.f64 (+.f64 (*.f64 y y) #s(literal 1 binary64)) (*.f64 x x)))) (*.f64 x (+.f64 y #s(literal 1 binary64)))))
(/.f64 (*.f64 (*.f64 (*.f64 (+.f64 (*.f64 y y) #s(literal 1 binary64)) (*.f64 x x)) (*.f64 x (-.f64 (*.f64 y (*.f64 y x)) x))) #s(literal 1 binary64)) (*.f64 (*.f64 (+.f64 (*.f64 y y) #s(literal 1 binary64)) (*.f64 x x)) (*.f64 x (+.f64 y #s(literal 1 binary64)))))
(/.f64 (*.f64 (*.f64 x (-.f64 (*.f64 y (*.f64 y x)) x)) #s(literal 1 binary64)) (*.f64 x (+.f64 y #s(literal 1 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (-.f64 (*.f64 (*.f64 y x) (*.f64 y (*.f64 y (*.f64 x x)))) (*.f64 x (*.f64 x x))))) (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (+.f64 (*.f64 y (*.f64 y x)) (*.f64 x (+.f64 y #s(literal 1 binary64))))))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (-.f64 (*.f64 y (*.f64 y x)) x)))) (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (+.f64 y #s(literal 1 binary64))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (*.f64 y x) (*.f64 y (*.f64 y (*.f64 x x)))) (*.f64 x (+.f64 (*.f64 y (*.f64 y x)) (*.f64 x (+.f64 y #s(literal 1 binary64)))))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 x (*.f64 x x)) (*.f64 x (+.f64 (*.f64 y (*.f64 y x)) (*.f64 x (+.f64 y #s(literal 1 binary64)))))) #s(literal 3 binary64))) (+.f64 (*.f64 (/.f64 (*.f64 (*.f64 y x) (*.f64 y (*.f64 y (*.f64 x x)))) (*.f64 x (+.f64 (*.f64 y (*.f64 y x)) (*.f64 x (+.f64 y #s(literal 1 binary64)))))) (/.f64 (*.f64 (*.f64 y x) (*.f64 y (*.f64 y (*.f64 x x)))) (*.f64 x (+.f64 (*.f64 y (*.f64 y x)) (*.f64 x (+.f64 y #s(literal 1 binary64))))))) (+.f64 (*.f64 (/.f64 (*.f64 x (*.f64 x x)) (*.f64 x (+.f64 (*.f64 y (*.f64 y x)) (*.f64 x (+.f64 y #s(literal 1 binary64)))))) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 x (+.f64 (*.f64 y (*.f64 y x)) (*.f64 x (+.f64 y #s(literal 1 binary64))))))) (*.f64 (/.f64 (*.f64 (*.f64 y x) (*.f64 y (*.f64 y (*.f64 x x)))) (*.f64 x (+.f64 (*.f64 y (*.f64 y x)) (*.f64 x (+.f64 y #s(literal 1 binary64)))))) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 x (+.f64 (*.f64 y (*.f64 y x)) (*.f64 x (+.f64 y #s(literal 1 binary64))))))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 y (*.f64 y (*.f64 x x))) (*.f64 x (+.f64 y #s(literal 1 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 x x) (*.f64 x (+.f64 y #s(literal 1 binary64)))) #s(literal 3 binary64))) (+.f64 (*.f64 (/.f64 (*.f64 y (*.f64 y (*.f64 x x))) (*.f64 x (+.f64 y #s(literal 1 binary64)))) (/.f64 (*.f64 y (*.f64 y (*.f64 x x))) (*.f64 x (+.f64 y #s(literal 1 binary64))))) (+.f64 (*.f64 (/.f64 (*.f64 x x) (*.f64 x (+.f64 y #s(literal 1 binary64)))) (/.f64 (*.f64 x x) (*.f64 x (+.f64 y #s(literal 1 binary64))))) (*.f64 (/.f64 (*.f64 y (*.f64 y (*.f64 x x))) (*.f64 x (+.f64 y #s(literal 1 binary64)))) (/.f64 (*.f64 x x) (*.f64 x (+.f64 y #s(literal 1 binary64))))))))
(/.f64 (-.f64 (*.f64 x x) (*.f64 y (*.f64 y (*.f64 x x)))) (-.f64 (-.f64 #s(literal 0 binary64) x) (*.f64 y x)))
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 (*.f64 y x) (*.f64 y (*.f64 y (*.f64 x x)))) (*.f64 x (+.f64 (*.f64 y (*.f64 y x)) (*.f64 x (+.f64 y #s(literal 1 binary64)))))) (/.f64 (*.f64 (*.f64 y x) (*.f64 y (*.f64 y (*.f64 x x)))) (*.f64 x (+.f64 (*.f64 y (*.f64 y x)) (*.f64 x (+.f64 y #s(literal 1 binary64))))))) (*.f64 (/.f64 (*.f64 x (*.f64 x x)) (*.f64 x (+.f64 (*.f64 y (*.f64 y x)) (*.f64 x (+.f64 y #s(literal 1 binary64)))))) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 x (+.f64 (*.f64 y (*.f64 y x)) (*.f64 x (+.f64 y #s(literal 1 binary64)))))))) (+.f64 (/.f64 (*.f64 (*.f64 y x) (*.f64 y (*.f64 y (*.f64 x x)))) (*.f64 x (+.f64 (*.f64 y (*.f64 y x)) (*.f64 x (+.f64 y #s(literal 1 binary64)))))) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 x (+.f64 (*.f64 y (*.f64 y x)) (*.f64 x (+.f64 y #s(literal 1 binary64))))))))
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 y (*.f64 y (*.f64 x x))) (*.f64 x (+.f64 y #s(literal 1 binary64)))) (/.f64 (*.f64 y (*.f64 y (*.f64 x x))) (*.f64 x (+.f64 y #s(literal 1 binary64))))) (*.f64 (/.f64 (*.f64 x x) (*.f64 x (+.f64 y #s(literal 1 binary64)))) (/.f64 (*.f64 x x) (*.f64 x (+.f64 y #s(literal 1 binary64)))))) (+.f64 (/.f64 (*.f64 y (*.f64 y (*.f64 x x))) (*.f64 x (+.f64 y #s(literal 1 binary64)))) (/.f64 (*.f64 x x) (*.f64 x (+.f64 y #s(literal 1 binary64))))))
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 y x) (*.f64 y (*.f64 y (*.f64 x x)))) (*.f64 x (*.f64 x x))) #s(literal 1 binary64)) (*.f64 x (+.f64 (*.f64 y (*.f64 y x)) (*.f64 x (+.f64 y #s(literal 1 binary64))))))
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 (*.f64 y x) (*.f64 y (*.f64 y (*.f64 x x)))) (*.f64 (*.f64 y x) (*.f64 (*.f64 y (*.f64 y (*.f64 x x))) (*.f64 (*.f64 y x) (*.f64 y (*.f64 y (*.f64 x x))))))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))) (/.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 y (*.f64 y x)) (*.f64 x (+.f64 y #s(literal 1 binary64))))))) (+.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (+.f64 (*.f64 y (*.f64 y y)) #s(literal 1 binary64)) (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 y x) (*.f64 (*.f64 y (*.f64 y (*.f64 x x))) (*.f64 (*.f64 y x) (*.f64 y (*.f64 y (*.f64 x x))))))))
(/.f64 (*.f64 (*.f64 (*.f64 (+.f64 (*.f64 y (*.f64 y y)) #s(literal 1 binary64)) (*.f64 x (*.f64 x x))) (-.f64 (*.f64 (*.f64 y x) (*.f64 y (*.f64 y (*.f64 x x)))) (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 y (*.f64 y x)) (*.f64 x (+.f64 y #s(literal 1 binary64))))))) (*.f64 (+.f64 (*.f64 y (*.f64 y y)) #s(literal 1 binary64)) (*.f64 x (*.f64 x x))))
(/.f64 (*.f64 (*.f64 (*.f64 (+.f64 (*.f64 y (*.f64 y y)) #s(literal 1 binary64)) (*.f64 x (*.f64 x x))) (-.f64 (*.f64 (*.f64 y x) (*.f64 y (*.f64 y (*.f64 x x)))) (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (*.f64 x (+.f64 y #s(literal 1 binary64))))) (+.f64 (*.f64 y (*.f64 (*.f64 y (*.f64 x x)) (*.f64 y (*.f64 y (*.f64 x x))))) (*.f64 (*.f64 x x) (*.f64 (+.f64 (*.f64 y y) #s(literal 1 binary64)) (*.f64 x x)))))
(/.f64 (*.f64 (*.f64 (*.f64 (+.f64 (*.f64 y y) #s(literal 1 binary64)) (*.f64 x x)) (*.f64 x (-.f64 (*.f64 y (*.f64 y x)) x))) (/.f64 #s(literal 1 binary64) (*.f64 x (+.f64 y #s(literal 1 binary64))))) (*.f64 (+.f64 (*.f64 y y) #s(literal 1 binary64)) (*.f64 x x)))
(/.f64 (/.f64 (*.f64 x (-.f64 (*.f64 y (*.f64 y x)) x)) (+.f64 y #s(literal 1 binary64))) x)
(pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (+.f64 y #s(literal -1 binary64)))) #s(literal -1 binary64))
(*.f64 x (+.f64 y #s(literal -1 binary64)))
(*.f64 x (+.f64 #s(literal -1 binary64) y))
(*.f64 (-.f64 (*.f64 (*.f64 y x) (*.f64 y (*.f64 y (*.f64 x x)))) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 y (*.f64 y x)) (*.f64 x (+.f64 y #s(literal 1 binary64)))))))
(*.f64 (-.f64 (*.f64 (*.f64 y x) (*.f64 y (*.f64 y (*.f64 x x)))) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (+.f64 (*.f64 y y) #s(literal 1 binary64)) (*.f64 x x)) (*.f64 y (-.f64 #s(literal 0 binary64) (*.f64 x x))))))
(*.f64 (*.f64 x (+.f64 (*.f64 y (*.f64 y x)) (*.f64 x (+.f64 y #s(literal 1 binary64))))) (*.f64 (*.f64 x (+.f64 y #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 y (*.f64 y x)) (*.f64 x (+.f64 y #s(literal 1 binary64))))))))
(*.f64 (*.f64 x (+.f64 (*.f64 y (*.f64 y x)) (*.f64 x (+.f64 y #s(literal 1 binary64))))) (/.f64 (*.f64 x (+.f64 y #s(literal -1 binary64))) (*.f64 x (+.f64 (*.f64 y (*.f64 y x)) (*.f64 x (+.f64 y #s(literal 1 binary64)))))))
(*.f64 (*.f64 x (-.f64 (*.f64 y (*.f64 y x)) x)) (/.f64 #s(literal 1 binary64) (*.f64 x (+.f64 y #s(literal 1 binary64)))))
(*.f64 (*.f64 x (+.f64 y #s(literal 1 binary64))) (*.f64 (*.f64 x (+.f64 y #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 x (+.f64 y #s(literal 1 binary64))))))
(*.f64 (*.f64 x (+.f64 y #s(literal 1 binary64))) (/.f64 (*.f64 x (+.f64 y #s(literal -1 binary64))) (*.f64 x (+.f64 y #s(literal 1 binary64)))))
(*.f64 (-.f64 #s(literal 0 binary64) (-.f64 (*.f64 (*.f64 y x) (*.f64 y (*.f64 y (*.f64 x x)))) (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 x (+.f64 (*.f64 y (*.f64 y x)) (*.f64 x (+.f64 y #s(literal 1 binary64))))))))
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (-.f64 (*.f64 y (*.f64 y x)) x))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 x (+.f64 y #s(literal 1 binary64))))))
(*.f64 #s(literal 1 binary64) (*.f64 x (+.f64 y #s(literal -1 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 y (*.f64 y x)) (*.f64 x (+.f64 y #s(literal 1 binary64)))))) (-.f64 (*.f64 (*.f64 y x) (*.f64 y (*.f64 y (*.f64 x x)))) (*.f64 x (*.f64 x x))))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (+.f64 y #s(literal 1 binary64)))) (*.f64 x (-.f64 (*.f64 y (*.f64 y x)) x)))
(*.f64 (/.f64 (*.f64 x (+.f64 y #s(literal 1 binary64))) (+.f64 y #s(literal 1 binary64))) (/.f64 (*.f64 x (+.f64 y #s(literal -1 binary64))) x))
(*.f64 (/.f64 (*.f64 x (-.f64 (*.f64 y (*.f64 y x)) x)) (*.f64 x (-.f64 (*.f64 y (*.f64 y x)) x))) (*.f64 x (+.f64 y #s(literal -1 binary64))))
(*.f64 (/.f64 (-.f64 (*.f64 (*.f64 y x) (*.f64 y (*.f64 y (*.f64 x x)))) (*.f64 x (*.f64 x x))) (+.f64 (*.f64 (*.f64 y x) (*.f64 (*.f64 y (*.f64 y (*.f64 x x))) (*.f64 (*.f64 y x) (*.f64 y (*.f64 y (*.f64 x x)))))) (*.f64 (*.f64 x (*.f64 x (+.f64 y #s(literal 1 binary64)))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x (+.f64 y #s(literal 1 binary64))) (*.f64 x (+.f64 y #s(literal 1 binary64)))))))) (+.f64 (*.f64 y (*.f64 (*.f64 y (*.f64 x x)) (*.f64 y (*.f64 y (*.f64 x x))))) (*.f64 (*.f64 x (*.f64 x (+.f64 y #s(literal 1 binary64)))) (-.f64 (*.f64 x (*.f64 x (+.f64 y #s(literal 1 binary64)))) (*.f64 y (*.f64 y (*.f64 x x)))))))
(*.f64 (/.f64 (-.f64 (*.f64 (*.f64 y x) (*.f64 y (*.f64 y (*.f64 x x)))) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x (+.f64 (*.f64 y (*.f64 y x)) (*.f64 x (+.f64 y #s(literal 1 binary64))))) (*.f64 x (-.f64 (*.f64 y (*.f64 y x)) (*.f64 x (+.f64 y #s(literal 1 binary64))))))) (*.f64 x (-.f64 (*.f64 y (*.f64 y x)) (*.f64 x (+.f64 y #s(literal 1 binary64))))))
(*.f64 (/.f64 (*.f64 x (-.f64 (*.f64 y (*.f64 y x)) x)) (*.f64 (+.f64 (*.f64 y (*.f64 y y)) #s(literal 1 binary64)) (*.f64 x (*.f64 x x)))) (-.f64 (*.f64 (+.f64 (*.f64 y y) #s(literal 1 binary64)) (*.f64 x x)) (*.f64 y (*.f64 x x))))

simplify152.0ms (2%)

Algorithm
1×egg-herbie
Rules
1900×fmsub-define
1862×fma-lowering-fma.f32
1862×fma-lowering-fma.f64
1642×fnmsub-define
1558×fmm-def
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
057376
1184357
2533357
31416357
44833357
08108357
Stop Event
1×iter limit
1×node limit
Counts
96 → 96
Calls
Call 1
Inputs
(- 918938533204673/1000000000000000 x)
(- (+ 918938533204673/1000000000000000 (* -1/2 y)) x)
(- (+ 918938533204673/1000000000000000 (* -1/2 y)) x)
(- (+ 918938533204673/1000000000000000 (* -1/2 y)) x)
(* -1/2 y)
(* y (- (* 918938533204673/1000000000000000 (/ 1 y)) (+ 1/2 (/ x y))))
(* y (- (* 918938533204673/1000000000000000 (/ 1 y)) (+ 1/2 (/ x y))))
(* y (- (* 918938533204673/1000000000000000 (/ 1 y)) (+ 1/2 (/ x y))))
(* -1/2 y)
(* -1 (* y (+ 1/2 (* -1 (/ (- 918938533204673/1000000000000000 x) y)))))
(* -1 (* y (+ 1/2 (* -1 (/ (- 918938533204673/1000000000000000 x) y)))))
(* -1 (* y (+ 1/2 (* -1 (/ (- 918938533204673/1000000000000000 x) y)))))
(+ 918938533204673/1000000000000000 (* -1/2 y))
(+ 918938533204673/1000000000000000 (+ (* -1 x) (* -1/2 y)))
(+ 918938533204673/1000000000000000 (+ (* -1 x) (* -1/2 y)))
(+ 918938533204673/1000000000000000 (+ (* -1 x) (* -1/2 y)))
(* -1 x)
(* x (- (+ (* -1/2 (/ y x)) (* 918938533204673/1000000000000000 (/ 1 x))) 1))
(* x (- (+ (* -1/2 (/ y x)) (* 918938533204673/1000000000000000 (/ 1 x))) 1))
(* x (- (+ (* -1/2 (/ y x)) (* 918938533204673/1000000000000000 (/ 1 x))) 1))
(* -1 x)
(* -1 (* x (+ 1 (* -1 (/ (+ 918938533204673/1000000000000000 (* -1/2 y)) x)))))
(* -1 (* x (+ 1 (* -1 (/ (+ 918938533204673/1000000000000000 (* -1/2 y)) x)))))
(* -1 (* x (+ 1 (* -1 (/ (+ 918938533204673/1000000000000000 (* -1/2 y)) 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)
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)
(* 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 x)
(- (* x y) x)
(- (* x y) x)
(- (* x y) x)
(* 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))))
(* 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 (* -1 y))))
(* -1 (* x (+ 1 (* -1 y))))
(* -1 (* x (+ 1 (* -1 y))))
(* -1 (* x (+ 1 (* -1 y))))
Outputs
(- 918938533204673/1000000000000000 x)
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)
(- (+ 918938533204673/1000000000000000 (* -1/2 y)) x)
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (+.f64 x (*.f64 y #s(literal 1/2 binary64))))
(- (+ 918938533204673/1000000000000000 (* -1/2 y)) x)
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (+.f64 x (*.f64 y #s(literal 1/2 binary64))))
(- (+ 918938533204673/1000000000000000 (* -1/2 y)) x)
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (+.f64 x (*.f64 y #s(literal 1/2 binary64))))
(* -1/2 y)
(*.f64 #s(literal -1/2 binary64) y)
(* y (- (* 918938533204673/1000000000000000 (/ 1 y)) (+ 1/2 (/ x y))))
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (+.f64 x (*.f64 y #s(literal 1/2 binary64))))
(* y (- (* 918938533204673/1000000000000000 (/ 1 y)) (+ 1/2 (/ x y))))
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (+.f64 x (*.f64 y #s(literal 1/2 binary64))))
(* y (- (* 918938533204673/1000000000000000 (/ 1 y)) (+ 1/2 (/ x y))))
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (+.f64 x (*.f64 y #s(literal 1/2 binary64))))
(* -1/2 y)
(*.f64 #s(literal -1/2 binary64) y)
(* -1 (* y (+ 1/2 (* -1 (/ (- 918938533204673/1000000000000000 x) y)))))
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (+.f64 x (*.f64 y #s(literal 1/2 binary64))))
(* -1 (* y (+ 1/2 (* -1 (/ (- 918938533204673/1000000000000000 x) y)))))
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (+.f64 x (*.f64 y #s(literal 1/2 binary64))))
(* -1 (* y (+ 1/2 (* -1 (/ (- 918938533204673/1000000000000000 x) y)))))
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (+.f64 x (*.f64 y #s(literal 1/2 binary64))))
(+ 918938533204673/1000000000000000 (* -1/2 y))
(+.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 #s(literal -1/2 binary64) y))
(+ 918938533204673/1000000000000000 (+ (* -1 x) (* -1/2 y)))
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (+.f64 x (*.f64 y #s(literal 1/2 binary64))))
(+ 918938533204673/1000000000000000 (+ (* -1 x) (* -1/2 y)))
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (+.f64 x (*.f64 y #s(literal 1/2 binary64))))
(+ 918938533204673/1000000000000000 (+ (* -1 x) (* -1/2 y)))
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (+.f64 x (*.f64 y #s(literal 1/2 binary64))))
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* x (- (+ (* -1/2 (/ y x)) (* 918938533204673/1000000000000000 (/ 1 x))) 1))
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (+.f64 x (*.f64 y #s(literal 1/2 binary64))))
(* x (- (+ (* -1/2 (/ y x)) (* 918938533204673/1000000000000000 (/ 1 x))) 1))
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (+.f64 x (*.f64 y #s(literal 1/2 binary64))))
(* x (- (+ (* -1/2 (/ y x)) (* 918938533204673/1000000000000000 (/ 1 x))) 1))
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (+.f64 x (*.f64 y #s(literal 1/2 binary64))))
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* -1 (* x (+ 1 (* -1 (/ (+ 918938533204673/1000000000000000 (* -1/2 y)) x)))))
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (+.f64 x (*.f64 y #s(literal 1/2 binary64))))
(* -1 (* x (+ 1 (* -1 (/ (+ 918938533204673/1000000000000000 (* -1/2 y)) x)))))
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (+.f64 x (*.f64 y #s(literal 1/2 binary64))))
(* -1 (* x (+ 1 (* -1 (/ (+ 918938533204673/1000000000000000 (* -1/2 y)) x)))))
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (+.f64 x (*.f64 y #s(literal 1/2 binary64))))
(* -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)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(- (* x y) x)
(*.f64 x (+.f64 y #s(literal -1 binary64)))
(- (* x y) x)
(*.f64 x (+.f64 y #s(literal -1 binary64)))
(- (* x y) x)
(*.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)))
(* 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 (+ 1 (* -1 y))))
(*.f64 x (+.f64 y #s(literal -1 binary64)))
(* -1 (* x (+ 1 (* -1 y))))
(*.f64 x (+.f64 y #s(literal -1 binary64)))
(* -1 (* x (+ 1 (* -1 y))))
(*.f64 x (+.f64 y #s(literal -1 binary64)))
(* -1 (* x (+ 1 (* -1 y))))
(*.f64 x (+.f64 y #s(literal -1 binary64)))

eval40.0ms (0.5%)

Compiler

Compiled 8132 to 710 computations (91.3% saved)

prune32.0ms (0.4%)

Pruning

12 alts after pruning (1 fresh and 11 done)

PrunedKeptTotal
New3560356
Fresh011
Picked055
Done066
Total35612368
Accuracy
100.0%
Counts
368 → 12
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓53.8%
(-.f64 (*.f64 y x) x)
✓55.0%
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)
✓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))
▶70.6%
(+.f64 (*.f64 y (+.f64 x #s(literal -1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64))
✓75.7%
(+.f64 (*.f64 y #s(literal -1/2 binary64)) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x))
✓47.6%
(+.f64 (*.f64 y #s(literal -1/2 binary64)) #s(literal 918938533204673/1000000000000000 binary64))
✓46.7%
(*.f64 y (+.f64 x #s(literal -1/2 binary64)))
✓25.6%
(*.f64 y x)
✓23.6%
(*.f64 y #s(literal -1/2 binary64))
✓53.8%
(*.f64 x (+.f64 y #s(literal -1 binary64)))
✓26.8%
#s(literal 918938533204673/1000000000000000 binary64)
Compiler

Compiled 88 to 66 computations (25% saved)

simplify6.0ms (0.1%)

Algorithm
1×egg-herbie
Localize:

Found 3 expressions of interest:

NewMetricScoreProgram
✓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))) #s(literal 918938533204673/1000000000000000 binary64))
Rules
28×fma-lowering-fma.f32
28×fma-define
28×+-lowering-+.f64
28×+-lowering-+.f32
28×fma-lowering-fma.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0718
11718
23818
35218
45918
05918
Stop Event
1×iter limit
1×saturated
Calls
Call 1
Inputs
(+ (* y (+ x -1/2)) 918938533204673/1000000000000000)
(* y (+ x -1/2))
y
(+ x -1/2)
x
-1/2
918938533204673/1000000000000000
Outputs
(+ (* y (+ x -1/2)) 918938533204673/1000000000000000)
(+.f64 (*.f64 y (+.f64 x #s(literal -1/2 binary64))) #s(literal 918938533204673/1000000000000000 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)
918938533204673/1000000000000000
#s(literal 918938533204673/1000000000000000 binary64)

localize65.0ms (0.9%)

Localize:

Found 3 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(+.f64 x #s(literal -1/2 binary64))
✓accuracy100.0%
(*.f64 y (+.f64 x #s(literal -1/2 binary64)))
✓accuracy100.0%
(+.f64 (*.f64 y (+.f64 x #s(literal -1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64))
Results
56.0ms256×0valid
Compiler

Compiled 22 to 8 computations (63.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 20.0ms
...c/correct-round.rkt:119:19: 14.0ms (70.4% of total)
ival-add: 3.0ms (15.1% of total)
ival-mult: 2.0ms (10.1% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

series1.0ms (0%)

Counts
3 → 60
Calls
Call 1
Inputs
#<alt (+ (* y (+ x -1/2)) 918938533204673/1000000000000000)>
#<alt (* y (+ x -1/2))>
#<alt (+ x -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 (* y (- x 1/2))>
#<alt (* -1 (* y (- (* -1 (- x 1/2)) (* 918938533204673/1000000000000000 (/ 1 y)))))>
#<alt (* -1 (* y (- (* -1 (- x 1/2)) (* 918938533204673/1000000000000000 (/ 1 y)))))>
#<alt (* -1 (* y (- (* -1 (- x 1/2)) (* 918938533204673/1000000000000000 (/ 1 y)))))>
#<alt (+ 918938533204673/1000000000000000 (* -1/2 y))>
#<alt (+ 918938533204673/1000000000000000 (+ (* -1/2 y) (* x y)))>
#<alt (+ 918938533204673/1000000000000000 (+ (* -1/2 y) (* x y)))>
#<alt (+ 918938533204673/1000000000000000 (+ (* -1/2 y) (* x y)))>
#<alt (* x y)>
#<alt (* x (+ y (+ (* -1/2 (/ y x)) (* 918938533204673/1000000000000000 (/ 1 x)))))>
#<alt (* x (+ y (+ (* -1/2 (/ y x)) (* 918938533204673/1000000000000000 (/ 1 x)))))>
#<alt (* x (+ y (+ (* -1/2 (/ y x)) (* 918938533204673/1000000000000000 (/ 1 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 (* 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)))>
Calls

15 calls:

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

rewrite343.0ms (4.6%)

Algorithm
1×batch-egg-rewrite
Rules
3486×*-lowering-*.f32
3486×*-lowering-*.f64
1668×pow-lowering-pow.f64
1668×pow-lowering-pow.f32
1576×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0714
14614
235114
3382714
0810414
Stop Event
1×iter limit
1×node limit
Counts
3 → 207
Calls
Call 1
Inputs
(+ (* y (+ x -1/2)) 918938533204673/1000000000000000)
(* y (+ x -1/2))
(+ x -1/2)
Outputs
(+.f64 (*.f64 y (+.f64 x #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 y x) (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 y #s(literal -1/2 binary64))))
(+.f64 (*.f64 y #s(literal -1/2 binary64)) (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 y x)))
(+.f64 (/.f64 (*.f64 (+.f64 x #s(literal -1/2 binary64)) (*.f64 y (*.f64 y (+.f64 x #s(literal -1/2 binary64))))) (+.f64 (*.f64 y (+.f64 x #s(literal -1/2 binary64))) #s(literal -918938533204673/1000000000000000 binary64))) (neg.f64 (/.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 y x)) (*.f64 y #s(literal -1/2 binary64)))
(+.f64 (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 y #s(literal -1/2 binary64))) (*.f64 y x))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 y (+.f64 x #s(literal -1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64)))) #s(literal -1 binary64)))
(-.f64 (*.f64 y (+.f64 x #s(literal -1/2 binary64))) #s(literal -918938533204673/1000000000000000 binary64))
(-.f64 (/.f64 (*.f64 (+.f64 x #s(literal -1/2 binary64)) (*.f64 y (*.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 844448027808355901771309036929/1000000000000000000000000000000 binary64) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 y (+.f64 x #s(literal -1/2 binary64))))) (/.f64 (*.f64 (+.f64 x #s(literal -1/2 binary64)) (*.f64 y (*.f64 y (+.f64 x #s(literal -1/2 binary64))))) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 y (+.f64 x #s(literal -1/2 binary64))))))
(fma.f64 y x (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 y #s(literal -1/2 binary64))))
(fma.f64 y (+.f64 x #s(literal -1/2 binary64)) #s(literal 918938533204673/1000000000000000 binary64))
(fma.f64 y (/.f64 (*.f64 (+.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))) (neg.f64 (/.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (+.f64 (*.f64 y (+.f64 x #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 (+.f64 x #s(literal -1/2 binary64)) y #s(literal 918938533204673/1000000000000000 binary64))
(fma.f64 (+.f64 x #s(literal -1/2 binary64)) (/.f64 (*.f64 y (*.f64 y (+.f64 x #s(literal -1/2 binary64)))) (+.f64 (*.f64 y (+.f64 x #s(literal -1/2 binary64))) #s(literal -918938533204673/1000000000000000 binary64))) (neg.f64 (/.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (+.f64 (*.f64 y (+.f64 x #s(literal -1/2 binary64))) #s(literal -918938533204673/1000000000000000 binary64)))))
(fma.f64 (*.f64 y (+.f64 x #s(literal -1/2 binary64))) (/.f64 (*.f64 y (+.f64 x #s(literal -1/2 binary64))) (+.f64 (*.f64 y (+.f64 x #s(literal -1/2 binary64))) #s(literal -918938533204673/1000000000000000 binary64))) (neg.f64 (/.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (+.f64 (*.f64 y (+.f64 x #s(literal -1/2 binary64))) #s(literal -918938533204673/1000000000000000 binary64)))))
(fma.f64 (*.f64 (+.f64 x #s(literal -1/2 binary64)) (*.f64 y (*.f64 y (+.f64 x #s(literal -1/2 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 y (+.f64 x #s(literal -1/2 binary64))) #s(literal -918938533204673/1000000000000000 binary64))) (neg.f64 (/.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (+.f64 (*.f64 y (+.f64 x #s(literal -1/2 binary64))) #s(literal -918938533204673/1000000000000000 binary64)))))
(fma.f64 (+.f64 (*.f64 x (*.f64 x x)) #s(literal -1/8 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/4 binary64) (*.f64 x (+.f64 x #s(literal 1/2 binary64))))) y) #s(literal 918938533204673/1000000000000000 binary64))
(fma.f64 (+.f64 (*.f64 x (*.f64 x x)) #s(literal -1/8 binary64)) (/.f64 y (+.f64 #s(literal 1/4 binary64) (*.f64 x (+.f64 x #s(literal 1/2 binary64))))) #s(literal 918938533204673/1000000000000000 binary64))
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(*.f64 (/.f64 (*.f64 y (+.f64 (*.f64 x (*.f64 x x)) #s(literal -1/8 binary64))) (+.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 x #s(literal 1/2 binary64))) (*.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 x #s(literal 1/2 binary64))) (+.f64 #s(literal 1/4 binary64) (*.f64 x #s(literal 1/2 binary64))))))) (+.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 x #s(literal 1/2 binary64))) (-.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 x #s(literal 1/2 binary64))) (*.f64 x x)))))
(*.f64 (/.f64 (*.f64 y (+.f64 (*.f64 x (*.f64 x x)) #s(literal -1/8 binary64))) (*.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 x (+.f64 x #s(literal 1/2 binary64)))) (+.f64 (+.f64 (*.f64 x x) #s(literal -1/4 binary64)) (*.f64 x #s(literal -1/2 binary64))))) (+.f64 (+.f64 (*.f64 x x) #s(literal -1/4 binary64)) (*.f64 x #s(literal -1/2 binary64))))
(*.f64 (/.f64 (*.f64 y (+.f64 (*.f64 x x) #s(literal -1/4 binary64))) (+.f64 (*.f64 x x) #s(literal -1/4 binary64))) (+.f64 x #s(literal -1/2 binary64)))
(*.f64 (/.f64 (*.f64 y (+.f64 (*.f64 x x) #s(literal -1/4 binary64))) (+.f64 (*.f64 x (*.f64 x x)) #s(literal 1/8 binary64))) (+.f64 (*.f64 x x) (+.f64 #s(literal 1/4 binary64) (*.f64 x #s(literal -1/2 binary64)))))
(+.f64 x #s(literal -1/2 binary64))
(+.f64 #s(literal -1/2 binary64) x)
(+.f64 (/.f64 (*.f64 x x) (+.f64 x #s(literal 1/2 binary64))) (neg.f64 (/.f64 #s(literal 1/4 binary64) (+.f64 x #s(literal 1/2 binary64)))))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1/2 binary64)))) #s(literal -1 binary64)))
(-.f64 (/.f64 (*.f64 x x) (+.f64 x #s(literal 1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (+.f64 x #s(literal 1/2 binary64))))
(-.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal -1/2 binary64) x)) (/.f64 (*.f64 x x) (-.f64 #s(literal -1/2 binary64) x)))
(fma.f64 x (/.f64 x (+.f64 x #s(literal 1/2 binary64))) (neg.f64 (/.f64 #s(literal 1/4 binary64) (+.f64 x #s(literal 1/2 binary64)))))
(fma.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1/2 binary64))) (neg.f64 (/.f64 #s(literal 1/4 binary64) (+.f64 x #s(literal 1/2 binary64)))))
(fma.f64 (/.f64 (*.f64 x x) (+.f64 (*.f64 x x) #s(literal -1/4 binary64))) (+.f64 x #s(literal -1/2 binary64)) (neg.f64 (/.f64 #s(literal 1/4 binary64) (+.f64 x #s(literal 1/2 binary64)))))
(fma.f64 (/.f64 (*.f64 x x) (+.f64 (*.f64 x (*.f64 x x)) #s(literal 1/8 binary64))) (+.f64 (*.f64 x x) (+.f64 #s(literal 1/4 binary64) (*.f64 x #s(literal -1/2 binary64)))) (neg.f64 (/.f64 #s(literal 1/4 binary64) (+.f64 x #s(literal 1/2 binary64)))))
(neg.f64 (/.f64 (+.f64 (*.f64 x (*.f64 x x)) #s(literal -1/8 binary64)) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/4 binary64) (*.f64 x (+.f64 x #s(literal 1/2 binary64)))))))
(neg.f64 (/.f64 (+.f64 (*.f64 x x) #s(literal -1/4 binary64)) (+.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -1/2 binary64))))
(neg.f64 (/.f64 (+.f64 #s(literal 1/8 binary64) (neg.f64 (*.f64 x (*.f64 x x)))) (+.f64 #s(literal 1/4 binary64) (*.f64 x (+.f64 x #s(literal 1/2 binary64))))))
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 x x) #s(literal -1/4 binary64))) (+.f64 x #s(literal 1/2 binary64))))
(/.f64 (+.f64 (*.f64 x (*.f64 x x)) #s(literal -1/8 binary64)) (+.f64 #s(literal 1/4 binary64) (*.f64 x (+.f64 x #s(literal 1/2 binary64)))))
(/.f64 (+.f64 (*.f64 x x) #s(literal -1/4 binary64)) (+.f64 x #s(literal 1/2 binary64)))
(/.f64 (+.f64 #s(literal 1/8 binary64) (neg.f64 (*.f64 x (*.f64 x x)))) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/4 binary64) (*.f64 x (+.f64 x #s(literal 1/2 binary64))))))
(/.f64 (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 x x) #s(literal -1/4 binary64))) (+.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -1/2 binary64)))
(/.f64 (+.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) #s(literal -1/512 binary64)) (*.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 x (+.f64 x #s(literal 1/2 binary64)))) (+.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (-.f64 #s(literal 1/64 binary64) (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/8 binary64)))))))
(/.f64 (+.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal -1/64 binary64)) (*.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 x (+.f64 x #s(literal 1/2 binary64)))) (+.f64 (*.f64 x (*.f64 x x)) #s(literal 1/8 binary64))))
(/.f64 (+.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal -1/64 binary64)) (*.f64 (+.f64 x #s(literal 1/2 binary64)) (+.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 x x) #s(literal 1/4 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1/2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1/2 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) x) (-.f64 #s(literal 1/4 binary64) (*.f64 x x))))
(/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 x x)) (-.f64 #s(literal -1/2 binary64) x))
(/.f64 (+.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/16 binary64)) (*.f64 (+.f64 x #s(literal 1/2 binary64)) (+.f64 (*.f64 x x) #s(literal 1/4 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1/2 binary64)))))
(/.f64 (-.f64 (*.f64 (*.f64 x x) (+.f64 x #s(literal 1/2 binary64))) (*.f64 (+.f64 x #s(literal 1/2 binary64)) #s(literal 1/4 binary64))) (*.f64 (+.f64 x #s(literal 1/2 binary64)) (+.f64 x #s(literal 1/2 binary64))))
(/.f64 (*.f64 (+.f64 (*.f64 x (*.f64 x x)) #s(literal -1/8 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal 1/4 binary64) (*.f64 x (+.f64 x #s(literal 1/2 binary64)))))
(/.f64 (*.f64 (+.f64 (*.f64 x x) #s(literal -1/4 binary64)) #s(literal 1 binary64)) (+.f64 x #s(literal 1/2 binary64)))
(/.f64 (*.f64 (+.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) #s(literal -1/512 binary64)) #s(literal 1 binary64)) (*.f64 (+.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (-.f64 #s(literal 1/64 binary64) (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/8 binary64))))) (+.f64 #s(literal 1/4 binary64) (*.f64 x (+.f64 x #s(literal 1/2 binary64))))))
(/.f64 (*.f64 (+.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal -1/64 binary64)) #s(literal 1 binary64)) (*.f64 (+.f64 (*.f64 x (*.f64 x x)) #s(literal 1/8 binary64)) (+.f64 #s(literal 1/4 binary64) (*.f64 x (+.f64 x #s(literal 1/2 binary64))))))
(/.f64 (*.f64 (+.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal -1/64 binary64)) #s(literal 1 binary64)) (*.f64 (+.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 x x) #s(literal 1/4 binary64)))) (+.f64 x #s(literal 1/2 binary64))))
(/.f64 (*.f64 (+.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/16 binary64)) #s(literal 1 binary64)) (*.f64 (+.f64 (*.f64 x x) #s(literal 1/4 binary64)) (+.f64 x #s(literal 1/2 binary64))))
(/.f64 (neg.f64 (+.f64 #s(literal 1/8 binary64) (neg.f64 (*.f64 x (*.f64 x x))))) (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/4 binary64) (*.f64 x (+.f64 x #s(literal 1/2 binary64)))))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 x x) #s(literal -1/4 binary64)))) (neg.f64 (+.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -1/2 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 x x))) (neg.f64 (-.f64 #s(literal -1/2 binary64) x)))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 x x) (+.f64 x #s(literal 1/2 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1/4 binary64) (+.f64 x #s(literal 1/2 binary64))) #s(literal 3 binary64))) (+.f64 (*.f64 (/.f64 (*.f64 x x) (+.f64 x #s(literal 1/2 binary64))) (/.f64 (*.f64 x x) (+.f64 x #s(literal 1/2 binary64)))) (+.f64 (*.f64 (/.f64 #s(literal 1/4 binary64) (+.f64 x #s(literal 1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (+.f64 x #s(literal 1/2 binary64)))) (*.f64 (/.f64 (*.f64 x x) (+.f64 x #s(literal 1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (+.f64 x #s(literal 1/2 binary64)))))))
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 x x) (+.f64 x #s(literal 1/2 binary64))) (/.f64 (*.f64 x x) (+.f64 x #s(literal 1/2 binary64)))) (*.f64 (/.f64 #s(literal 1/4 binary64) (+.f64 x #s(literal 1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (+.f64 x #s(literal 1/2 binary64))))) (+.f64 (/.f64 (*.f64 x x) (+.f64 x #s(literal 1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (+.f64 x #s(literal 1/2 binary64)))))
(/.f64 (*.f64 (+.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) #s(literal -1/512 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/4 binary64) (*.f64 x (+.f64 x #s(literal 1/2 binary64)))))) (+.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (-.f64 #s(literal 1/64 binary64) (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/8 binary64))))))
(/.f64 (*.f64 (+.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal -1/64 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/4 binary64) (*.f64 x (+.f64 x #s(literal 1/2 binary64)))))) (+.f64 (*.f64 x (*.f64 x x)) #s(literal 1/8 binary64)))
(/.f64 (*.f64 (+.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal -1/64 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1/2 binary64)))) (+.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 x x) #s(literal 1/4 binary64)))))
(/.f64 (*.f64 (+.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/16 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1/2 binary64)))) (+.f64 (*.f64 x x) #s(literal 1/4 binary64)))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1/2 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1/2 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) x) (-.f64 #s(literal 1/4 binary64) (*.f64 x x))) #s(literal -1 binary64))
(*.f64 (+.f64 (*.f64 x (*.f64 x x)) #s(literal -1/8 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/4 binary64) (*.f64 x (+.f64 x #s(literal 1/2 binary64))))))
(*.f64 (+.f64 (*.f64 x x) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1/2 binary64))))
(*.f64 (+.f64 #s(literal 1/8 binary64) (neg.f64 (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/4 binary64) (*.f64 x (+.f64 x #s(literal 1/2 binary64)))))))
(*.f64 (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 x x) #s(literal -1/4 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -1/2 binary64))))
(*.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1/2 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/4 binary64) (*.f64 x (+.f64 x #s(literal 1/2 binary64))))) (+.f64 (*.f64 x (*.f64 x x)) #s(literal -1/8 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/4 binary64) (*.f64 x (+.f64 x #s(literal 1/2 binary64))))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x (*.f64 x x)) #s(literal -1/8 binary64))) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1/2 binary64))) (+.f64 (*.f64 x x) #s(literal -1/4 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1/2 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x x) #s(literal -1/4 binary64))) #s(literal -1 binary64)))
(*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/2 binary64) x)))
(*.f64 (/.f64 (+.f64 (*.f64 x x) #s(literal -1/4 binary64)) (+.f64 (*.f64 x x) #s(literal -1/4 binary64))) (+.f64 x #s(literal -1/2 binary64)))
(*.f64 (/.f64 (+.f64 (*.f64 x (*.f64 x x)) #s(literal -1/8 binary64)) (+.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 x #s(literal 1/2 binary64))) (*.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 x #s(literal 1/2 binary64))) (+.f64 #s(literal 1/4 binary64) (*.f64 x #s(literal 1/2 binary64))))))) (+.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 x #s(literal 1/2 binary64))) (-.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 x #s(literal 1/2 binary64))) (*.f64 x x)))))
(*.f64 (/.f64 (+.f64 (*.f64 x (*.f64 x x)) #s(literal -1/8 binary64)) (*.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 x (+.f64 x #s(literal 1/2 binary64)))) (+.f64 (+.f64 (*.f64 x x) #s(literal -1/4 binary64)) (*.f64 x #s(literal -1/2 binary64))))) (+.f64 (+.f64 (*.f64 x x) #s(literal -1/4 binary64)) (*.f64 x #s(literal -1/2 binary64))))
(*.f64 (/.f64 (+.f64 (*.f64 x x) #s(literal -1/4 binary64)) (+.f64 (*.f64 x (*.f64 x x)) #s(literal 1/8 binary64))) (+.f64 (*.f64 x x) (+.f64 #s(literal 1/4 binary64) (*.f64 x #s(literal -1/2 binary64)))))
(*.f64 (pow.f64 (/.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 x (+.f64 x #s(literal 1/2 binary64)))) (+.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) #s(literal -1/512 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (-.f64 #s(literal 1/64 binary64) (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/8 binary64)))))))
(*.f64 (pow.f64 (/.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 x (+.f64 x #s(literal 1/2 binary64)))) (+.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal -1/64 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x (*.f64 x x)) #s(literal 1/8 binary64))))
(*.f64 (pow.f64 (/.f64 (+.f64 x #s(literal 1/2 binary64)) (+.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal -1/64 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 x x) #s(literal 1/4 binary64))))))
(*.f64 (pow.f64 (/.f64 (+.f64 x #s(literal 1/2 binary64)) (+.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/16 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x x) #s(literal 1/4 binary64))))

simplify152.0ms (2%)

Algorithm
1×egg-herbie
Rules
1746×fmsub-define
1588×fnmsub-define
1490×fmm-def
1448×*-lowering-*.f32
1448×*-lowering-*.f64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
049292
1159273
2478273
31228273
44190273
08153273
Stop Event
1×iter limit
1×node limit
Counts
60 → 60
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))
(* y (- x 1/2))
(* -1 (* y (- (* -1 (- x 1/2)) (* 918938533204673/1000000000000000 (/ 1 y)))))
(* -1 (* y (- (* -1 (- x 1/2)) (* 918938533204673/1000000000000000 (/ 1 y)))))
(* -1 (* y (- (* -1 (- x 1/2)) (* 918938533204673/1000000000000000 (/ 1 y)))))
(+ 918938533204673/1000000000000000 (* -1/2 y))
(+ 918938533204673/1000000000000000 (+ (* -1/2 y) (* x y)))
(+ 918938533204673/1000000000000000 (+ (* -1/2 y) (* x y)))
(+ 918938533204673/1000000000000000 (+ (* -1/2 y) (* x y)))
(* x y)
(* x (+ y (+ (* -1/2 (/ y x)) (* 918938533204673/1000000000000000 (/ 1 x)))))
(* x (+ y (+ (* -1/2 (/ y x)) (* 918938533204673/1000000000000000 (/ 1 x)))))
(* x (+ y (+ (* -1/2 (/ y x)) (* 918938533204673/1000000000000000 (/ 1 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)))))
(* 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)))
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))))
(* y (- x 1/2))
(*.f64 y (+.f64 x #s(literal -1/2 binary64)))
(* -1 (* y (- (* -1 (- x 1/2)) (* 918938533204673/1000000000000000 (/ 1 y)))))
(+.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 y (+.f64 x #s(literal -1/2 binary64))))
(* -1 (* y (- (* -1 (- x 1/2)) (* 918938533204673/1000000000000000 (/ 1 y)))))
(+.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 y (+.f64 x #s(literal -1/2 binary64))))
(* -1 (* y (- (* -1 (- x 1/2)) (* 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 (+ (* -1/2 y) (* x y)))
(+.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 y (+.f64 x #s(literal -1/2 binary64))))
(+ 918938533204673/1000000000000000 (+ (* -1/2 y) (* x y)))
(+.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 y (+.f64 x #s(literal -1/2 binary64))))
(+ 918938533204673/1000000000000000 (+ (* -1/2 y) (* x y)))
(+.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 y (+.f64 x #s(literal -1/2 binary64))))
(* x y)
(*.f64 y x)
(* x (+ y (+ (* -1/2 (/ y x)) (* 918938533204673/1000000000000000 (/ 1 x)))))
(+.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 y (+.f64 x #s(literal -1/2 binary64))))
(* x (+ y (+ (* -1/2 (/ y x)) (* 918938533204673/1000000000000000 (/ 1 x)))))
(+.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 y (+.f64 x #s(literal -1/2 binary64))))
(* x (+ y (+ (* -1/2 (/ y x)) (* 918938533204673/1000000000000000 (/ 1 x)))))
(+.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 y (+.f64 x #s(literal -1/2 binary64))))
(* 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 x #s(literal -1/2 binary64))))
(* -1 (* x (+ (* -1 y) (* -1 (/ (+ 918938533204673/1000000000000000 (* -1/2 y)) x)))))
(+.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 y (+.f64 x #s(literal -1/2 binary64))))
(* -1 (* x (+ (* -1 y) (* -1 (/ (+ 918938533204673/1000000000000000 (* -1/2 y)) x)))))
(+.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 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))

eval61.0ms (0.8%)

Compiler

Compiled 6709 to 735 computations (89% saved)

prune49.0ms (0.7%)

Pruning

12 alts after pruning (0 fresh and 12 done)

PrunedKeptTotal
New2670267
Fresh000
Picked011
Done01111
Total26712279
Accuracy
100.0%
Counts
279 → 12
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓53.8%
(-.f64 (*.f64 y x) x)
✓55.0%
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)
✓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))
✓70.6%
(+.f64 (*.f64 y (+.f64 x #s(literal -1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64))
✓75.7%
(+.f64 (*.f64 y #s(literal -1/2 binary64)) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x))
✓47.6%
(+.f64 (*.f64 y #s(literal -1/2 binary64)) #s(literal 918938533204673/1000000000000000 binary64))
✓46.7%
(*.f64 y (+.f64 x #s(literal -1/2 binary64)))
✓25.6%
(*.f64 y x)
✓23.6%
(*.f64 y #s(literal -1/2 binary64))
✓53.8%
(*.f64 x (+.f64 y #s(literal -1 binary64)))
✓26.8%
#s(literal 918938533204673/1000000000000000 binary64)
Compiler

Compiled 161 to 91 computations (43.5% saved)

regimes21.0ms (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 x) x)
(+.f64 (*.f64 y #s(literal -1/2 binary64)) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x))
(+.f64 (*.f64 y x) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x))
(+.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 #s(literal 918938533204673/1000000000000000 binary64) x))
(+.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
x
5.0ms
(-.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 y #s(literal 1/2 binary64)))
5.0ms
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)

regimes10.0ms (0.1%)

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

2 calls:

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

Compiled 6 to 4 computations (33.3% saved)

regimes11.0ms (0.1%)

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

2 calls:

6.0ms
y
4.0ms
x
Results
AccuracySegmentsBranch
99.1%3x
99.4%3y
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes4.0ms (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 x) x)
(+.f64 (*.f64 y #s(literal -1/2 binary64)) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x))
(+.f64 (*.f64 y x) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x))
Outputs
(*.f64 y (+.f64 x #s(literal -1/2 binary64)))
(+.f64 (*.f64 y x) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x))
(*.f64 y (+.f64 x #s(literal -1/2 binary64)))
Calls

1 calls:

4.0ms
y
Results
AccuracySegmentsBranch
99.3%3y
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes10.0ms (0.1%)

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

2 calls:

5.0ms
y
4.0ms
x
Results
AccuracySegmentsBranch
99.0%3x
98.0%3y
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes7.0ms (0.1%)

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

2 calls:

3.0ms
x
3.0ms
y
Results
AccuracySegmentsBranch
97.7%3y
98.0%3x
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes4.0ms (0.1%)

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

1 calls:

4.0ms
x
Results
AccuracySegmentsBranch
98.0%3x
Compiler

Compiled 3 to 2 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
81.8%5x
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes3.0ms (0%)

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

1 calls:

2.0ms
y
Results
AccuracySegmentsBranch
78.8%3y
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes6.0ms (0.1%)

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

2 calls:

3.0ms
x
2.0ms
y
Results
AccuracySegmentsBranch
60.9%4x
78.2%3y
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes4.0ms (0.1%)

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

2 calls:

2.0ms
x
2.0ms
y
Results
AccuracySegmentsBranch
52.8%5x
50.6%3y
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes3.0ms (0%)

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
y
2.0ms
x
Results
AccuracySegmentsBranch
30.2%3x
47.3%3y
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes4.0ms (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:

2.0ms
x
1.0ms
y
Results
AccuracySegmentsBranch
26.8%1x
26.8%1y
Compiler

Compiled 6 to 4 computations (33.3% saved)

bsearch41.0ms (0.5%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
27.0ms
131.17348863990287
223457745810221.5
10.0ms
-1.3602102368912798
-0.472676521078622
Results
25.0ms240×0valid
Compiler

Compiled 318 to 239 computations (24.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 16.0ms
ival-sub: 7.0ms (43.2% of total)
...c/correct-round.rkt:119:19: 4.0ms (24.7% of total)
ival-mult: 3.0ms (18.5% of total)
ival-add: 1.0ms (6.2% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch38.0ms (0.5%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
22.0ms
131.17348863990287
223457745810221.5
13.0ms
-6.527321905906067e+28
-4.198277272844903e+26
Results
24.0ms272×0valid
Compiler

Compiled 324 to 235 computations (27.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 14.0ms
...c/correct-round.rkt:119:19: 5.0ms (36.3% of total)
ival-mult: 4.0ms (29.1% of total)
ival-sub: 3.0ms (21.8% of total)
ival-add: 1.0ms (7.3% of total)
const: 1.0ms (7.3% of total)
backward-pass: 0.0ms (0% of total)

bsearch56.0ms (0.7%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
17.0ms
8.195740538832473
15530499.040069044
20.0ms
-203805822735335.34
-12164640.99733025
Results
25.0ms288×0valid
Compiler

Compiled 342 to 257 computations (24.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 15.0ms
...c/correct-round.rkt:119:19: 6.0ms (40.2% of total)
ival-mult: 4.0ms (26.8% of total)
ival-sub: 3.0ms (20.1% of total)
ival-add: 2.0ms (13.4% of total)
const: 1.0ms (6.7% of total)
backward-pass: 0.0ms (0% of total)

bsearch43.0ms (0.6%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
23.0ms
2.3532829152611087e-5
8.195740538832473
17.0ms
-12164640.99733025
-0.42956106875083344
Results
30.0ms288×0valid
Compiler

Compiled 306 to 239 computations (21.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 20.0ms
...c/correct-round.rkt:119:19: 11.0ms (55.7% of total)
ival-mult: 4.0ms (20.2% of total)
ival-sub: 3.0ms (15.2% of total)
ival-add: 2.0ms (10.1% of total)
const: 1.0ms (5.1% of total)
backward-pass: 0.0ms (0% of total)

bsearch74.0ms (1%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
54.0ms
2.3532829152611087e-5
8.195740538832473
17.0ms
-12164640.99733025
-0.42956106875083344
Results
61.0ms288×0valid
Compiler

Compiled 306 to 248 computations (19% saved)

Precisions
Click to see histograms. Total time spent on operations: 51.0ms
ival-sub: 39.0ms (76.5% of total)
...c/correct-round.rkt:119:19: 6.0ms (11.8% of total)
ival-mult: 4.0ms (7.8% of total)
ival-add: 2.0ms (3.9% of total)
const: 1.0ms (2% of total)
backward-pass: 0.0ms (0% of total)

bsearch60.0ms (0.8%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
21.0ms
2.2758263382744484e-10
1.5121602639823997
36.0ms
-5.058400618528448e+20
-1.3602102368912798
Results
44.0ms336×0valid
Compiler

Compiled 312 to 245 computations (21.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 31.0ms
ival-sub: 17.0ms (54.3% of total)
...c/correct-round.rkt:119:19: 6.0ms (19.2% of total)
ival-mult: 5.0ms (16% of total)
ival-add: 2.0ms (6.4% of total)
const: 1.0ms (3.2% of total)
backward-pass: 0.0ms (0% of total)

bsearch37.0ms (0.5%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
19.0ms
2.2758263382744484e-10
1.5121602639823997
14.0ms
-4.169029332804509e-11
-3.086682786391647e-12
Results
25.0ms256×0valid
Compiler

Compiled 222 to 180 computations (18.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 16.0ms
ival-sub: 6.0ms (37.5% of total)
...c/correct-round.rkt:119:19: 5.0ms (31.3% of total)
ival-mult: 4.0ms (25% of total)
ival-add: 1.0ms (6.3% of total)
const: 1.0ms (6.3% of total)
backward-pass: 0.0ms (0% of total)

bsearch57.0ms (0.8%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
24.0ms
2.2758263382744484e-10
1.5121602639823997
21.0ms
-5.058400618528448e+20
-1.3602102368912798
Results
34.0ms336×0valid
Compiler

Compiled 270 to 213 computations (21.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 22.0ms
...c/correct-round.rkt:119:19: 11.0ms (49.3% of total)
ival-mult: 5.0ms (22.4% of total)
ival-sub: 4.0ms (17.9% of total)
ival-add: 2.0ms (9% of total)
const: 1.0ms (4.5% of total)
backward-pass: 0.0ms (0% of total)

bsearch42.0ms (0.6%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
23.0ms
2.2758263382744484e-10
1.5121602639823997
15.0ms
-9.464774625438843e-5
-1.0932688609049906e-8
Results
29.0ms288×0valid
Compiler

Compiled 198 to 168 computations (15.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 18.0ms
...c/correct-round.rkt:119:19: 9.0ms (48.7% of total)
ival-mult: 4.0ms (21.6% of total)
ival-sub: 3.0ms (16.2% of total)
ival-add: 2.0ms (10.8% of total)
const: 1.0ms (5.4% of total)
backward-pass: 0.0ms (0% of total)

bsearch69.0ms (0.9%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
37.0ms
2.2758263382744484e-10
1.5121602639823997
28.0ms
-5.058400618528448e+20
-1.3602102368912798
Results
42.0ms336×0valid
Compiler

Compiled 228 to 203 computations (11% saved)

Precisions
Click to see histograms. Total time spent on operations: 19.0ms
...c/correct-round.rkt:119:19: 7.0ms (37.4% of total)
ival-mult: 5.0ms (26.7% of total)
ival-sub: 4.0ms (21.4% of total)
ival-add: 2.0ms (10.7% of total)
const: 1.0ms (5.3% of total)
backward-pass: 0.0ms (0% of total)

simplify13.0ms (0.2%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
076213
1118213
2135213
3149213
4154213
5155213
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 y #s(literal -1080863910568919/1125899906842624 binary64)) (+.f64 (*.f64 y (+.f64 x #s(literal -1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64)) (if (<=.f64 y #s(literal 3000 binary64)) (+.f64 (*.f64 y x) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) (+.f64 (*.f64 y (+.f64 x #s(literal -1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64))))
(if (<=.f64 y #s(literal -420000000000000016575889408 binary64)) (*.f64 y (+.f64 x #s(literal -1/2 binary64))) (if (<=.f64 y #s(literal 4400 binary64)) (+.f64 (*.f64 y x) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) (*.f64 y (+.f64 x #s(literal -1/2 binary64)))))
(if (<=.f64 x #s(literal -52000000 binary64)) (*.f64 x (+.f64 y #s(literal -1 binary64))) (if (<=.f64 x #s(literal 45000 binary64)) (+.f64 (*.f64 y #s(literal -1/2 binary64)) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) (-.f64 (*.f64 y x) x)))
(if (<=.f64 x #s(literal -5764607523034235/9007199254740992 binary64)) (*.f64 x (+.f64 y #s(literal -1 binary64))) (if (<=.f64 x #s(literal 3/4 binary64)) (+.f64 (*.f64 y #s(literal -1/2 binary64)) #s(literal 918938533204673/1000000000000000 binary64)) (-.f64 (*.f64 y x) x)))
(if (<=.f64 x #s(literal -6124895493223875/9007199254740992 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 -6530219459687219/4503599627370496 binary64)) (*.f64 y (+.f64 x #s(literal -1/2 binary64))) (if (<=.f64 y #s(literal 1 binary64)) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) (*.f64 y (+.f64 x #s(literal -1/2 binary64)))))
(if (<=.f64 y #s(literal -6189700196426901/154742504910672534362390528 binary64)) (*.f64 x (+.f64 y #s(literal -1 binary64))) (if (<=.f64 y #s(literal 3/2 binary64)) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) (*.f64 y #s(literal -1/2 binary64))))
(if (<=.f64 y #s(literal -21 binary64)) (*.f64 y x) (if (<=.f64 y #s(literal 3/2 binary64)) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) (*.f64 y #s(literal -1/2 binary64))))
(if (<=.f64 y #s(literal -6788401819125115/73786976294838206464 binary64)) (*.f64 y x) (if (<=.f64 y #s(literal 3/2 binary64)) #s(literal 918938533204673/1000000000000000 binary64) (*.f64 y #s(literal -1/2 binary64))))
(if (<=.f64 y #s(literal -4165829655317709/2251799813685248 binary64)) (*.f64 y #s(literal -1/2 binary64)) (if (<=.f64 y #s(literal 3/2 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 y #s(literal -1080863910568919/1125899906842624 binary64)) (+.f64 (*.f64 y (+.f64 x #s(literal -1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64)) (if (<=.f64 y #s(literal 3000 binary64)) (+.f64 (*.f64 y x) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) (+.f64 (*.f64 y (+.f64 x #s(literal -1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64))))
(if (<=.f64 y #s(literal -1080863910568919/1125899906842624 binary64)) (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 y (+.f64 x #s(literal -1/2 binary64)))) (if (<=.f64 y #s(literal 3000 binary64)) (+.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) (*.f64 x y)) (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 y (+.f64 x #s(literal -1/2 binary64))))))
(if (<=.f64 y #s(literal -420000000000000016575889408 binary64)) (*.f64 y (+.f64 x #s(literal -1/2 binary64))) (if (<=.f64 y #s(literal 4400 binary64)) (+.f64 (*.f64 y x) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) (*.f64 y (+.f64 x #s(literal -1/2 binary64)))))
(if (<=.f64 y #s(literal -420000000000000016575889408 binary64)) (*.f64 y (+.f64 x #s(literal -1/2 binary64))) (if (<=.f64 y #s(literal 4400 binary64)) (+.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) (*.f64 x y)) (*.f64 y (+.f64 x #s(literal -1/2 binary64)))))
(if (<=.f64 x #s(literal -52000000 binary64)) (*.f64 x (+.f64 y #s(literal -1 binary64))) (if (<=.f64 x #s(literal 45000 binary64)) (+.f64 (*.f64 y #s(literal -1/2 binary64)) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) (-.f64 (*.f64 y x) x)))
(if (<=.f64 x #s(literal -52000000 binary64)) (*.f64 x (+.f64 y #s(literal -1 binary64))) (if (<=.f64 x #s(literal 45000 binary64)) (+.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) (*.f64 y #s(literal -1/2 binary64))) (-.f64 (*.f64 x y) x)))
(if (<=.f64 x #s(literal -5764607523034235/9007199254740992 binary64)) (*.f64 x (+.f64 y #s(literal -1 binary64))) (if (<=.f64 x #s(literal 3/4 binary64)) (+.f64 (*.f64 y #s(literal -1/2 binary64)) #s(literal 918938533204673/1000000000000000 binary64)) (-.f64 (*.f64 y x) x)))
(if (<=.f64 x #s(literal -5764607523034235/9007199254740992 binary64)) (*.f64 x (+.f64 y #s(literal -1 binary64))) (if (<=.f64 x #s(literal 3/4 binary64)) (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 y #s(literal -1/2 binary64))) (-.f64 (*.f64 x y) x)))
(if (<=.f64 x #s(literal -6124895493223875/9007199254740992 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 -6124895493223875/9007199254740992 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 -6530219459687219/4503599627370496 binary64)) (*.f64 y (+.f64 x #s(literal -1/2 binary64))) (if (<=.f64 y #s(literal 1 binary64)) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) (*.f64 y (+.f64 x #s(literal -1/2 binary64)))))
(if (<=.f64 y #s(literal -6189700196426901/154742504910672534362390528 binary64)) (*.f64 x (+.f64 y #s(literal -1 binary64))) (if (<=.f64 y #s(literal 3/2 binary64)) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) (*.f64 y #s(literal -1/2 binary64))))
(if (<=.f64 y #s(literal -21 binary64)) (*.f64 y x) (if (<=.f64 y #s(literal 3/2 binary64)) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) (*.f64 y #s(literal -1/2 binary64))))
(if (<=.f64 y #s(literal -21 binary64)) (*.f64 x y) (if (<=.f64 y #s(literal 3/2 binary64)) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) (*.f64 y #s(literal -1/2 binary64))))
(if (<=.f64 y #s(literal -6788401819125115/73786976294838206464 binary64)) (*.f64 y x) (if (<=.f64 y #s(literal 3/2 binary64)) #s(literal 918938533204673/1000000000000000 binary64) (*.f64 y #s(literal -1/2 binary64))))
(if (<=.f64 y #s(literal -6788401819125115/73786976294838206464 binary64)) (*.f64 x y) (if (<=.f64 y #s(literal 3/2 binary64)) #s(literal 918938533204673/1000000000000000 binary64) (*.f64 y #s(literal -1/2 binary64))))
(if (<=.f64 y #s(literal -4165829655317709/2251799813685248 binary64)) (*.f64 y #s(literal -1/2 binary64)) (if (<=.f64 y #s(literal 3/2 binary64)) #s(literal 918938533204673/1000000000000000 binary64) (*.f64 y #s(literal -1/2 binary64))))
#s(literal 918938533204673/1000000000000000 binary64)

soundness1.6s (21.4%)

Rules
4668×*-lowering-*.f32
4668×*-lowering-*.f64
3700×/-lowering-/.f32
3700×/-lowering-/.f64
2654×sum3-define
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
01435
19735
278235
0879135
01010
1279
2699
31599
43458
58908
625588
746808
874228
080118
01221102
14221004
21379953
34685941
08073941
080625
1256575
2743575
32198575
47172575
08439575
Stop Event
1×done
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
Compiler

Compiled 753 to 451 computations (40.1% saved)

preprocess69.0ms (0.9%)

Compiler

Compiled 496 to 168 computations (66.1% saved)

end0.0ms (0%)

Profiling

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