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

Time bar (total: 7.2s)

analyze0.0ms (0%)

Algorithm
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 (14.7%)

Results
754.0ms8256×0valid
Precisions
Click to see histograms. Total time spent on operations: 497.0ms
...c/correct-round.rkt:119:19: 166.0ms (33.4% of total)
ival-sub: 141.0ms (28.4% of total)
ival-mult: 131.0ms (26.4% of total)
ival-add: 42.0ms (8.5% of total)
const: 13.0ms (2.6% of total)
backward-pass: 3.0ms (0.6% of total)
Bogosity

preprocess247.0ms (3.4%)

Algorithm
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
iter limit
node limit
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))))

explain143.0ms (2%)

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
56.0ms512×0valid
Compiler

Compiled 91 to 32 computations (64.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 27.0ms
...c/correct-round.rkt:119:19: 10.0ms (37.6% of total)
ival-mult: 7.0ms (26.3% of total)
ival-sub: 6.0ms (22.6% of total)
ival-add: 3.0ms (11.3% of total)
const: 1.0ms (3.8% 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)

simplify131.0ms (1.8%)

Algorithm
egg-herbie
Localize:

Found 8 expressions of interest:

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

Useful iterations: 3 (0.0ms)

IterNodesCost
01555
14655
212555
328652
478352
5211952
6467652
7736352
8794652
0802352
Stop Event
iter limit
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)

localize70.0ms (1%)

Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(*.f64 y #s(literal 1/2 binary64))
accuracy100.0%
(-.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 y #s(literal 1/2 binary64)))
accuracy100.0%
(+.f64 (-.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 y #s(literal 1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64))
accuracy100.0%
(*.f64 x (-.f64 y #s(literal 1 binary64)))
accuracy100.0%
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)
accuracy100.0%
(+.f64 x #s(literal -1/2 binary64))
accuracy100.0%
(+.f64 (*.f64 y (+.f64 x #s(literal -1/2 binary64))) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x))
accuracy100.0%
(*.f64 y (+.f64 x #s(literal -1/2 binary64)))
Results
42.0ms256×0valid
Compiler

Compiled 63 to 16 computations (74.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 19.0ms
ival-mult: 5.0ms (26.6% of total)
...c/correct-round.rkt:119:19: 5.0ms (26.6% of total)
ival-sub: 4.0ms (21.3% of total)
ival-add: 4.0ms (21.3% of total)
const: 1.0ms (5.3% of total)
backward-pass: 0.0ms (0% of total)

series12.0ms (0.2%)

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

42 calls:

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

rewrite655.0ms (9.1%)

Algorithm
batch-egg-rewrite
Rules
3566×/-lowering-/.f32
3566×/-lowering-/.f64
3030×*-lowering-*.f32
3030×*-lowering-*.f64
2350×+-lowering-+.f64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01548
112647
2112147
0858247
Stop Event
iter limit
node limit
Counts
9 → 475
Calls
Call 1
Inputs
(+ (* y (+ x -1/2)) (- 918938533204673/1000000000000000 x))
(* y (+ x -1/2))
(+ x -1/2)
(- 918938533204673/1000000000000000 x)
(+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000)
(- (* x (- y 1)) (* y 1/2))
(* x (- y 1))
(- y 1)
(* y 1/2)
Outputs
(+.f64 (*.f64 y (+.f64 x #s(literal -1/2 binary64))) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x))
(+.f64 #s(literal 918938533204673/1000000000000000 binary64) (+.f64 (-.f64 #s(literal 0 binary64) x) (*.f64 y (+.f64 x #s(literal -1/2 binary64)))))
(+.f64 #s(literal 918938533204673/1000000000000000 binary64) (neg.f64 (-.f64 x (*.f64 y (+.f64 x #s(literal -1/2 binary64))))))
(+.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) (*.f64 y (+.f64 x #s(literal -1/2 binary64))))
(+.f64 (*.f64 y x) (+.f64 (*.f64 y #s(literal -1/2 binary64)) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)))
(+.f64 (+.f64 (*.f64 y (+.f64 x #s(literal -1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64)) (-.f64 #s(literal 0 binary64) x))
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(/.f64 (-.f64 (*.f64 (+.f64 (*.f64 x (+.f64 y #s(literal -1 binary64))) (*.f64 y #s(literal -1/2 binary64))) (+.f64 (*.f64 x (+.f64 y #s(literal -1 binary64))) (*.f64 y #s(literal -1/2 binary64)))) (*.f64 (+.f64 (+.f64 (*.f64 y #s(literal -1/2 binary64)) (*.f64 y #s(literal 1/2 binary64))) (+.f64 (*.f64 y #s(literal -1/2 binary64)) (*.f64 y #s(literal 1/2 binary64)))) (+.f64 (+.f64 (*.f64 y #s(literal -1/2 binary64)) (*.f64 y #s(literal 1/2 binary64))) (+.f64 (*.f64 y #s(literal -1/2 binary64)) (*.f64 y #s(literal 1/2 binary64)))))) (-.f64 (+.f64 (*.f64 x (+.f64 y #s(literal -1 binary64))) (*.f64 y #s(literal -1/2 binary64))) (+.f64 (+.f64 (*.f64 y #s(literal -1/2 binary64)) (*.f64 y #s(literal 1/2 binary64))) (+.f64 (*.f64 y #s(literal -1/2 binary64)) (*.f64 y #s(literal 1/2 binary64))))))
(/.f64 (-.f64 (*.f64 (+.f64 (*.f64 y #s(literal -1/2 binary64)) (*.f64 y #s(literal 1/2 binary64))) (+.f64 (*.f64 y #s(literal -1/2 binary64)) (*.f64 y #s(literal 1/2 binary64)))) (*.f64 (+.f64 (*.f64 x (+.f64 y #s(literal -1 binary64))) (*.f64 y #s(literal -1/2 binary64))) (+.f64 (*.f64 x (+.f64 y #s(literal -1 binary64))) (*.f64 y #s(literal -1/2 binary64))))) (-.f64 (+.f64 (*.f64 y #s(literal -1/2 binary64)) (*.f64 y #s(literal 1/2 binary64))) (+.f64 (*.f64 x (+.f64 y #s(literal -1 binary64))) (*.f64 y #s(literal -1/2 binary64)))))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x (+.f64 y #s(literal -1 binary64))) (*.f64 y #s(literal -1/2 binary64)))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (+.f64 (*.f64 x (+.f64 y #s(literal -1 binary64))) (*.f64 y #s(literal -1/2 binary64))))
(*.f64 (+.f64 (*.f64 (*.f64 x (+.f64 y #s(literal -1 binary64))) (*.f64 x (*.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 x (+.f64 y #s(literal -1 binary64)))))) (*.f64 #s(literal -1/8 binary64) (*.f64 y (*.f64 y y)))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x (*.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 x (+.f64 y #s(literal -1 binary64))))) (*.f64 (*.f64 y #s(literal 1/2 binary64)) (+.f64 (*.f64 x (+.f64 y #s(literal -1 binary64))) (*.f64 y #s(literal 1/2 binary64)))))))
(*.f64 (+.f64 (*.f64 (*.f64 x (+.f64 y #s(literal -1 binary64))) (*.f64 x (*.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 x (+.f64 y #s(literal -1 binary64)))))) (*.f64 #s(literal -1/8 binary64) (*.f64 y (*.f64 y y)))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x (*.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 x (+.f64 y #s(literal -1 binary64))))) (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 y y)) (*.f64 (*.f64 x (+.f64 y #s(literal -1 binary64))) (*.f64 y #s(literal -1/2 binary64)))))))
(*.f64 (-.f64 (*.f64 x (*.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 x (+.f64 y #s(literal -1 binary64))))) (*.f64 #s(literal 1/4 binary64) (*.f64 y y))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x (+.f64 y #s(literal -1 binary64))) (*.f64 y #s(literal 1/2 binary64)))))
(*.f64 (-.f64 (*.f64 x (*.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 x (+.f64 y #s(literal -1 binary64))))) (*.f64 #s(literal 1/4 binary64) (*.f64 y y))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (+.f64 y #s(literal -1 binary64))) (*.f64 y #s(literal -1/2 binary64)))))
(*.f64 (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 (*.f64 x (+.f64 y #s(literal -1 binary64))) (*.f64 x (*.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 x (+.f64 y #s(literal -1 binary64)))))) (*.f64 #s(literal -1/8 binary64) (*.f64 y (*.f64 y y))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 x (*.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 x (+.f64 y #s(literal -1 binary64))))) (*.f64 (*.f64 y #s(literal 1/2 binary64)) (+.f64 (*.f64 x (+.f64 y #s(literal -1 binary64))) (*.f64 y #s(literal 1/2 binary64))))))))
(*.f64 (-.f64 #s(literal 0 binary64) (-.f64 (*.f64 x (*.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 x (+.f64 y #s(literal -1 binary64))))) (*.f64 #s(literal 1/4 binary64) (*.f64 y y)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 x (+.f64 y #s(literal -1 binary64))) (*.f64 y #s(literal 1/2 binary64))))))
(*.f64 (+.f64 (*.f64 (+.f64 (*.f64 x (+.f64 y #s(literal -1 binary64))) (*.f64 y #s(literal -1/2 binary64))) (*.f64 (+.f64 (*.f64 x (+.f64 y #s(literal -1 binary64))) (*.f64 y #s(literal -1/2 binary64))) (+.f64 (*.f64 x (+.f64 y #s(literal -1 binary64))) (*.f64 y #s(literal -1/2 binary64))))) (*.f64 (+.f64 (*.f64 y #s(literal -1/2 binary64)) (*.f64 y #s(literal 1/2 binary64))) (*.f64 (+.f64 (*.f64 y #s(literal -1/2 binary64)) (*.f64 y #s(literal 1/2 binary64))) (+.f64 (*.f64 y #s(literal -1/2 binary64)) (*.f64 y #s(literal 1/2 binary64)))))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (+.f64 (*.f64 x (+.f64 y #s(literal -1 binary64))) (*.f64 y #s(literal -1/2 binary64))) (+.f64 (*.f64 x (+.f64 y #s(literal -1 binary64))) (*.f64 y #s(literal -1/2 binary64)))) (-.f64 (*.f64 (+.f64 (*.f64 y #s(literal -1/2 binary64)) (*.f64 y #s(literal 1/2 binary64))) (+.f64 (*.f64 y #s(literal -1/2 binary64)) (*.f64 y #s(literal 1/2 binary64)))) (*.f64 (+.f64 (*.f64 x (+.f64 y #s(literal -1 binary64))) (*.f64 y #s(literal -1/2 binary64))) (+.f64 (*.f64 y #s(literal -1/2 binary64)) (*.f64 y #s(literal 1/2 binary64))))))))
(*.f64 (-.f64 (*.f64 (+.f64 (*.f64 x (+.f64 y #s(literal -1 binary64))) (*.f64 y #s(literal -1/2 binary64))) (+.f64 (*.f64 x (+.f64 y #s(literal -1 binary64))) (*.f64 y #s(literal -1/2 binary64)))) (*.f64 (+.f64 (*.f64 y #s(literal -1/2 binary64)) (*.f64 y #s(literal 1/2 binary64))) (+.f64 (*.f64 y #s(literal -1/2 binary64)) (*.f64 y #s(literal 1/2 binary64))))) (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 (*.f64 x (+.f64 y #s(literal -1 binary64))) (*.f64 y #s(literal -1/2 binary64))) (+.f64 (*.f64 y #s(literal -1/2 binary64)) (*.f64 y #s(literal 1/2 binary64))))))
(+.f64 (*.f64 y x) (-.f64 #s(literal 0 binary64) x))
(+.f64 (*.f64 y x) (*.f64 x #s(literal -1 binary64)))
(-.f64 (*.f64 y x) x)
(fma.f64 y x (-.f64 #s(literal 0 binary64) x))
(fma.f64 y x (*.f64 x #s(literal -1 binary64)))
(fma.f64 x y (-.f64 #s(literal 0 binary64) x))
(fma.f64 x y (*.f64 x #s(literal -1 binary64)))
(/.f64 x (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (+.f64 (*.f64 y y) #s(literal 1 binary64)) y) (*.f64 x (+.f64 (*.f64 y (*.f64 y y)) #s(literal -1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 y #s(literal 1 binary64)) (*.f64 x (+.f64 (*.f64 y y) #s(literal -1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (+.f64 (*.f64 y y) #s(literal 1 binary64)) y) (*.f64 (+.f64 (*.f64 y (*.f64 y y)) #s(literal -1 binary64)) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 y #s(literal 1 binary64)) (*.f64 (+.f64 (*.f64 y y) #s(literal -1 binary64)) x)))
(/.f64 (*.f64 x (+.f64 (*.f64 y (*.f64 y y)) #s(literal -1 binary64))) (+.f64 (+.f64 (*.f64 y y) #s(literal 1 binary64)) y))
(/.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 (*.f64 y y) #s(literal 1 binary64)) y))
(/.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 (*.f64 y y) #s(literal 1 binary64)) y)))
(/.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 (*.f64 y y) #s(literal 1 binary64)) y)))
(/.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 (-.f64 (*.f64 (*.f64 y x) (*.f64 y x)) (*.f64 x x)) (-.f64 (*.f64 y x) (-.f64 #s(literal 0 binary64) x)))
(/.f64 (-.f64 (*.f64 (*.f64 y x) (*.f64 y x)) (*.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 (*.f64 y y) #s(literal 1 binary64)) y)))
(*.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 (*.f64 y y) #s(literal 1 binary64)) y)))
(*.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 (*.f64 y y) #s(literal 1 binary64)) y)) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 (*.f64 y y) #s(literal 1 binary64)) y))))
(+.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 (*.f64 y y) #s(literal 1 binary64)) y)) (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 (*.f64 y y) #s(literal 1 binary64)) y)))
(-.f64 (/.f64 (*.f64 y y) (+.f64 y #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))))
(-.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 (*.f64 y y) #s(literal 1 binary64)) y))
(/.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 (*.f64 y y) #s(literal 1 binary64)) y)))
(/.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 #s(literal 1 binary64) (*.f64 y y)) (-.f64 #s(literal -1 binary64) y))
(/.f64 (-.f64 (*.f64 (*.f64 y (*.f64 y y)) (+.f64 (+.f64 (*.f64 y y) #s(literal 1 binary64)) y)) (*.f64 (+.f64 (+.f64 (*.f64 y y) #s(literal 1 binary64)) y) #s(literal 1 binary64))) (*.f64 (+.f64 (+.f64 (*.f64 y y) #s(literal 1 binary64)) y) (+.f64 (+.f64 (*.f64 y y) #s(literal 1 binary64)) y)))
(/.f64 (-.f64 (*.f64 (*.f64 y y) (+.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 (*.f64 y y) #s(literal 1 binary64)) y))))
(/.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 (*.f64 y y) #s(literal 1 binary64)) y)) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 (*.f64 y y) #s(literal 1 binary64)) y)) #s(literal 3 binary64))) (+.f64 (*.f64 (/.f64 (*.f64 y (*.f64 y y)) (+.f64 (+.f64 (*.f64 y y) #s(literal 1 binary64)) y)) (/.f64 (*.f64 y (*.f64 y y)) (+.f64 (+.f64 (*.f64 y y) #s(literal 1 binary64)) y))) (+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 (*.f64 y y) #s(literal 1 binary64)) y)) (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 (*.f64 y y) #s(literal 1 binary64)) y))) (*.f64 (/.f64 (*.f64 y (*.f64 y y)) (+.f64 (+.f64 (*.f64 y y) #s(literal 1 binary64)) y)) (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 (*.f64 y y) #s(literal 1 binary64)) y))))))
(/.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 (*.f64 y y) #s(literal 1 binary64)) y)))
(*.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 (*.f64 y y) #s(literal 1 binary64)) y))))
(*.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)

simplify260.0ms (3.6%)

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

Useful iterations: 3 (0.0ms)

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

eval81.0ms (1.1%)

Compiler

Compiled 19565 to 1821 computations (90.7% saved)

prune353.0ms (4.9%)

Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New6367643
Fresh000
Picked112
Done000
Total6378645
Accuracy
100.0%
Counts
645 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
49.9%
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)
71.2%
(+.f64 (-.f64 (*.f64 x y) (*.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))
76.0%
(+.f64 (*.f64 y x) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x))
73.1%
(+.f64 (*.f64 y #s(literal -1/2 binary64)) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x))
45.7%
(+.f64 (*.f64 y #s(literal -1/2 binary64)) #s(literal 918938533204673/1000000000000000 binary64))
51.1%
(*.f64 y (+.f64 x #s(literal -1/2 binary64)))
55.9%
(*.f64 x (+.f64 y #s(literal -1 binary64)))
Compiler

Compiled 121 to 90 computations (25.6% saved)

simplify105.0ms (1.5%)

Algorithm
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
iter limit
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)

localize89.0ms (1.2%)

Localize:

Found 10 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(*.f64 y #s(literal -1/2 binary64))
accuracy100.0%
(+.f64 (*.f64 y #s(literal -1/2 binary64)) #s(literal 918938533204673/1000000000000000 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
57.0ms256×0valid
Compiler

Compiled 57 to 15 computations (73.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 35.0ms
...c/correct-round.rkt:119:19: 21.0ms (60% of total)
ival-mult: 7.0ms (20% of total)
ival-add: 5.0ms (14.3% of total)
ival-sub: 2.0ms (5.7% of total)
const: 0.0ms (0% 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
y
@0
(+ (* y x) (- 918938533204673/1000000000000000 x))
0.0ms
x
@0
(+ (* y x) (- 918938533204673/1000000000000000 x))
0.0ms
x
@-inf
(+ (* y x) (- 918938533204673/1000000000000000 x))

rewrite415.0ms (5.7%)

Algorithm
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
277735
0875735
Stop Event
iter limit
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)))
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(-.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))))
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(fma.f64 y #s(literal -1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64))
(fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64))
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(/.f64 (+.f64 (neg.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 (+.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 y y))) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 y #s(literal -1/2 binary64))))
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(/.f64 (*.f64 (+.f64 (*.f64 #s(literal 1/64 binary64) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y)))) #s(literal -602169531346229162124410547214766300102947990270042776016856015928398225588775409969193089/1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 binary64)) #s(literal 1 binary64)) (*.f64 (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 y (*.f64 y y))) #s(literal -775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 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 #s(literal 1/64 binary64) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y)))) #s(literal -602169531346229162124410547214766300102947990270042776016856015928398225588775409969193089/1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 binary64)) #s(literal 1 binary64)) (*.f64 (+.f64 (*.f64 (*.f64 y (*.f64 y (*.f64 y y))) #s(literal 1/16 binary64)) (+.f64 #s(literal 713092471669421822382614706812434602753285766506341485751041/1000000000000000000000000000000000000000000000000000000000000 binary64) (*.f64 (*.f64 y y) #s(literal 844448027808355901771309036929/4000000000000000000000000000000 binary64)))) (+.f64 (*.f64 y #s(literal -1/2 binary64)) #s(literal -918938533204673/1000000000000000 binary64))))
(/.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 #s(literal -1/8 binary64) (*.f64 y (*.f64 y y)))))) (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 #s(literal -1/8 binary64) (*.f64 y (*.f64 y y))) #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 #s(literal -1/8 binary64) (*.f64 y (*.f64 y y))) #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 #s(literal -1/8 binary64) (*.f64 y (*.f64 y y))) #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 #s(literal -1/8 binary64) (*.f64 y (*.f64 y y))))) (/.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)

simplify210.0ms (2.9%)

Algorithm
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
08437575
Stop Event
iter limit
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))

eval63.0ms (0.9%)

Compiler

Compiled 9394 to 1055 computations (88.8% saved)

prune58.0ms (0.8%)

Pruning

11 alts after pruning (6 fresh and 5 done)

PrunedKeptTotal
New5475552
Fresh112
Picked145
Done011
Total54911560
Accuracy
100.0%
Counts
560 → 11
Alt Table
Click to see full alt table
StatusAccuracyProgram
55.9%
(-.f64 (*.f64 y x) x)
49.9%
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)
100.0%
(+.f64 (*.f64 y (+.f64 x #s(literal -1/2 binary64))) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x))
51.1%
(+.f64 (*.f64 y x) (*.f64 y #s(literal -1/2 binary64)))
73.1%
(+.f64 (*.f64 y #s(literal -1/2 binary64)) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x))
45.7%
(+.f64 (*.f64 y #s(literal -1/2 binary64)) #s(literal 918938533204673/1000000000000000 binary64))
51.1%
(*.f64 y (+.f64 x #s(literal -1/2 binary64)))
28.0%
(*.f64 y x)
25.6%
(*.f64 y #s(literal -1/2 binary64))
55.9%
(*.f64 x (+.f64 y #s(literal -1 binary64)))
22.3%
#s(literal 918938533204673/1000000000000000 binary64)
Compiler

Compiled 113 to 82 computations (27.4% saved)

simplify65.0ms (0.9%)

Algorithm
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
iter limit
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

localize53.0ms (0.7%)

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
33.0ms256×0valid
Compiler

Compiled 41 to 10 computations (75.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 15.0ms
ival-mult: 5.0ms (34.2% of total)
...c/correct-round.rkt:119:19: 5.0ms (34.2% of total)
ival-sub: 3.0ms (20.5% of total)
ival-add: 1.0ms (6.8% 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
y
@inf
(+ (* y -1/2) (- 918938533204673/1000000000000000 x))
0.0ms
x
@0
(+ (* 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
@inf
(- (* y x) x)

rewrite342.0ms (4.7%)

Algorithm
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
250219
3758919
0803519
Stop Event
iter limit
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 (*.f64 y 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))))
(-.f64 (/.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (+.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) (-.f64 (/.f64 (*.f64 x x) (+.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) (*.f64 y #s(literal -1/2 binary64))))
(-.f64 (/.f64 (*.f64 (*.f64 y y) #s(literal 1/4 binary64)) (+.f64 x (+.f64 (*.f64 y #s(literal -1/2 binary64)) #s(literal -918938533204673/1000000000000000 binary64)))) (/.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 (*.f64 (+.f64 (*.f64 y #s(literal -1/2 binary64)) #s(literal 918938533204673/1000000000000000 binary64)) (*.f64 (+.f64 (*.f64 y #s(literal -1/2 binary64)) #s(literal 918938533204673/1000000000000000 binary64)) (+.f64 (*.f64 y #s(literal -1/2 binary64)) #s(literal 918938533204673/1000000000000000 binary64)))) (+.f64 (*.f64 (+.f64 (*.f64 y #s(literal -1/2 binary64)) #s(literal 918938533204673/1000000000000000 binary64)) (+.f64 (*.f64 y #s(literal -1/2 binary64)) #s(literal 918938533204673/1000000000000000 binary64))) (*.f64 x (+.f64 x (+.f64 (*.f64 y #s(literal -1/2 binary64)) #s(literal 918938533204673/1000000000000000 binary64)))))) (/.f64 (*.f64 x (*.f64 x x)) (+.f64 (*.f64 (+.f64 (*.f64 y #s(literal -1/2 binary64)) #s(literal 918938533204673/1000000000000000 binary64)) (+.f64 (*.f64 y #s(literal -1/2 binary64)) #s(literal 918938533204673/1000000000000000 binary64))) (*.f64 x (+.f64 x (+.f64 (*.f64 y #s(literal -1/2 binary64)) #s(literal 918938533204673/1000000000000000 binary64)))))))
(-.f64 (/.f64 (*.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) (+.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) (*.f64 y #s(literal 1/2 binary64)))) (/.f64 (*.f64 (*.f64 y y) #s(literal 1/4 binary64)) (+.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) (*.f64 y #s(literal 1/2 binary64)))))
(-.f64 (/.f64 (*.f64 (+.f64 (*.f64 y #s(literal -1/2 binary64)) #s(literal 918938533204673/1000000000000000 binary64)) (+.f64 (*.f64 y #s(literal -1/2 binary64)) #s(literal 918938533204673/1000000000000000 binary64))) (+.f64 x (+.f64 (*.f64 y #s(literal -1/2 binary64)) #s(literal 918938533204673/1000000000000000 binary64)))) (/.f64 (*.f64 x x) (+.f64 x (+.f64 (*.f64 y #s(literal -1/2 binary64)) #s(literal 918938533204673/1000000000000000 binary64)))))
(-.f64 (+.f64 (*.f64 y #s(literal -1/2 binary64)) (/.f64 #s(literal 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 binary64) (+.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (*.f64 x (+.f64 #s(literal 918938533204673/1000000000000000 binary64) x))))) (/.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (*.f64 x (+.f64 #s(literal 918938533204673/1000000000000000 binary64) x)))))
(-.f64 (+.f64 (*.f64 y #s(literal -1/2 binary64)) (/.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (+.f64 #s(literal 918938533204673/1000000000000000 binary64) x))) (/.f64 (*.f64 x x) (+.f64 #s(literal 918938533204673/1000000000000000 binary64) x)))
(-.f64 (+.f64 (+.f64 (*.f64 y #s(literal -1/2 binary64)) #s(literal 918938533204673/1000000000000000 binary64)) #s(literal 0 binary64)) x)
(fma.f64 y #s(literal -1/2 binary64) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x))
(fma.f64 #s(literal -1/2 binary64) 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 #s(literal 918938533204673/1000000000000000 binary64) x)))) (*.f64 y #s(literal -1/2 binary64)))
(fma.f64 (-.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) (*.f64 y #s(literal -1/2 binary64)))
(neg.f64 (/.f64 (+.f64 (*.f64 (*.f64 y (*.f64 y y)) #s(literal -1/8 binary64)) (*.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 (*.f64 y y) #s(literal 1/4 binary64)) (*.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) (+.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) (*.f64 y #s(literal 1/2 binary64))))))))
(neg.f64 (/.f64 (-.f64 (*.f64 (*.f64 y y) #s(literal 1/4 binary64)) (*.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x))) (+.f64 (*.f64 y #s(literal 1/2 binary64)) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x))))
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 (*.f64 y (*.f64 y y)) #s(literal -1/8 binary64)) (*.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 (*.f64 y y) #s(literal 1/4 binary64)) (*.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) (+.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) (*.f64 y #s(literal 1/2 binary64)))))))
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) (-.f64 (*.f64 (*.f64 y y) #s(literal 1/4 binary64)) (*.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 (*.f64 (*.f64 y (*.f64 y y)) #s(literal -1/8 binary64)) (*.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 (*.f64 y y) #s(literal 1/4 binary64)) (*.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) (+.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) (*.f64 y #s(literal 1/2 binary64))))))
(/.f64 (-.f64 (*.f64 (*.f64 y y) #s(literal 1/4 binary64)) (*.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 (*.f64 (*.f64 y (*.f64 y y)) #s(literal -1/8 binary64)) (*.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 (*.f64 y y) #s(literal 1/4 binary64)) (*.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) (+.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) (*.f64 y #s(literal 1/2 binary64)))))))
(/.f64 (-.f64 #s(literal 0 binary64) (-.f64 (*.f64 (*.f64 y y) #s(literal 1/4 binary64)) (*.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)))) (+.f64 (*.f64 y #s(literal 1/2 binary64)) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)))
(/.f64 (+.f64 (*.f64 (*.f64 (*.f64 y (*.f64 y y)) #s(literal -1/8 binary64)) (*.f64 #s(literal 1/64 binary64) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))))) (*.f64 (*.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 #s(literal 918938533204673/1000000000000000 binary64) x) (*.f64 (*.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) 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 (*.f64 (*.f64 y y) #s(literal 1/4 binary64)) (*.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) (+.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) (*.f64 y #s(literal 1/2 binary64))))) (+.f64 (*.f64 #s(literal 1/64 binary64) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y)))) (*.f64 (*.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 (-.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 y)) #s(literal -1/8 binary64)))))))
(/.f64 (-.f64 (*.f64 (+.f64 (*.f64 y #s(literal -1/2 binary64)) #s(literal 918938533204673/1000000000000000 binary64)) (*.f64 (+.f64 (*.f64 y #s(literal -1/2 binary64)) #s(literal 918938533204673/1000000000000000 binary64)) (+.f64 (*.f64 y #s(literal -1/2 binary64)) #s(literal 918938533204673/1000000000000000 binary64)))) (*.f64 x (*.f64 x x))) (+.f64 (*.f64 (+.f64 (*.f64 y #s(literal -1/2 binary64)) #s(literal 918938533204673/1000000000000000 binary64)) (+.f64 (*.f64 y #s(literal -1/2 binary64)) #s(literal 918938533204673/1000000000000000 binary64))) (*.f64 x (+.f64 x (+.f64 (*.f64 y #s(literal -1/2 binary64)) #s(literal 918938533204673/1000000000000000 binary64))))))
(/.f64 (-.f64 (*.f64 (+.f64 (*.f64 y #s(literal -1/2 binary64)) #s(literal 918938533204673/1000000000000000 binary64)) (*.f64 (+.f64 (*.f64 y #s(literal -1/2 binary64)) #s(literal 918938533204673/1000000000000000 binary64)) (+.f64 (*.f64 y #s(literal -1/2 binary64)) #s(literal 918938533204673/1000000000000000 binary64)))) (*.f64 x (*.f64 x x))) (+.f64 (*.f64 (+.f64 (*.f64 y #s(literal -1/2 binary64)) #s(literal 918938533204673/1000000000000000 binary64)) (+.f64 (*.f64 y #s(literal -1/2 binary64)) #s(literal 918938533204673/1000000000000000 binary64))) (-.f64 (*.f64 x x) (*.f64 (+.f64 (*.f64 y #s(literal -1/2 binary64)) #s(literal 918938533204673/1000000000000000 binary64)) (-.f64 #s(literal 0 binary64) x)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 y #s(literal -1/2 binary64)) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 (+.f64 (*.f64 y #s(literal -1/2 binary64)) #s(literal 918938533204673/1000000000000000 binary64)) (+.f64 (*.f64 y #s(literal -1/2 binary64)) #s(literal 918938533204673/1000000000000000 binary64))) (*.f64 x (+.f64 x (+.f64 (*.f64 y #s(literal -1/2 binary64)) #s(literal 918938533204673/1000000000000000 binary64))))) (-.f64 (*.f64 (+.f64 (*.f64 y #s(literal -1/2 binary64)) #s(literal 918938533204673/1000000000000000 binary64)) (*.f64 (+.f64 (*.f64 y #s(literal -1/2 binary64)) #s(literal 918938533204673/1000000000000000 binary64)) (+.f64 (*.f64 y #s(literal -1/2 binary64)) #s(literal 918938533204673/1000000000000000 binary64)))) (*.f64 x (*.f64 x x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 y #s(literal -1/2 binary64)) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) (*.f64 y #s(literal 1/2 binary64))) (+.f64 (*.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) (*.f64 #s(literal -1/4 binary64) (*.f64 y y)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x (+.f64 (*.f64 y #s(literal -1/2 binary64)) #s(literal 918938533204673/1000000000000000 binary64))) (*.f64 (+.f64 x (+.f64 (*.f64 y #s(literal -1/2 binary64)) #s(literal 918938533204673/1000000000000000 binary64))) (+.f64 (*.f64 y #s(literal -1/2 binary64)) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)))))
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simplify160.0ms (2.2%)

Algorithm
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
iter limit
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 (0.6%)

Compiler

Compiled 8127 to 709 computations (91.3% saved)

prune33.0ms (0.5%)

Pruning

11 alts after pruning (1 fresh and 10 done)

PrunedKeptTotal
New3560356
Fresh011
Picked055
Done055
Total35611367
Accuracy
100.0%
Counts
367 → 11
Alt Table
Click to see full alt table
StatusAccuracyProgram
55.9%
(-.f64 (*.f64 y x) x)
49.9%
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)
100.0%
(+.f64 (*.f64 y (+.f64 x #s(literal -1/2 binary64))) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x))
51.1%
(+.f64 (*.f64 y x) (*.f64 y #s(literal -1/2 binary64)))
73.1%
(+.f64 (*.f64 y #s(literal -1/2 binary64)) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x))
45.7%
(+.f64 (*.f64 y #s(literal -1/2 binary64)) #s(literal 918938533204673/1000000000000000 binary64))
51.1%
(*.f64 y (+.f64 x #s(literal -1/2 binary64)))
28.0%
(*.f64 y x)
25.6%
(*.f64 y #s(literal -1/2 binary64))
55.9%
(*.f64 x (+.f64 y #s(literal -1 binary64)))
22.3%
#s(literal 918938533204673/1000000000000000 binary64)
Compiler

Compiled 75 to 55 computations (26.7% saved)

simplify4.0ms (0.1%)

Algorithm
egg-herbie
Localize:

Found 3 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 y #s(literal -1/2 binary64))
cost-diff0
(*.f64 y x)
cost-diff128
(+.f64 (*.f64 y x) (*.f64 y #s(literal -1/2 binary64)))
Rules
12×*-lowering-*.f32
12×*-lowering-*.f64
fma-lowering-fma.f32
fma-define
+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0614
11214
21814
01814
Stop Event
iter limit
saturated
Calls
Call 1
Inputs
(+ (* y x) (* y -1/2))
(* y x)
y
x
(* y -1/2)
-1/2
Outputs
(+ (* y x) (* y -1/2))
(*.f64 y (+.f64 x #s(literal -1/2 binary64)))
(* y x)
(*.f64 y x)
y
x
(* y -1/2)
(*.f64 y #s(literal -1/2 binary64))
-1/2
#s(literal -1/2 binary64)

localize23.0ms (0.3%)

Localize:

Found 3 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(*.f64 y x)
accuracy100.0%
(*.f64 y #s(literal -1/2 binary64))
accuracy100.0%
(+.f64 (*.f64 y x) (*.f64 y #s(literal -1/2 binary64)))
Results
15.0ms256×0valid
Compiler

Compiled 19 to 7 computations (63.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 6.0ms
ival-mult: 4.0ms (72% of total)
ival-add: 1.0ms (18% 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) (* y -1/2))>
#<alt (* y x)>
#<alt (* y -1/2)>
Outputs
#<alt (* y (- x 1/2))>
#<alt (* y (- x 1/2))>
#<alt (* y (- x 1/2))>
#<alt (* y (- x 1/2))>
#<alt (* y (- x 1/2))>
#<alt (* y (- x 1/2))>
#<alt (* y (- x 1/2))>
#<alt (* y (- x 1/2))>
#<alt (* -1 (* y (+ 1/2 (* -1 x))))>
#<alt (* -1 (* y (+ 1/2 (* -1 x))))>
#<alt (* -1 (* y (+ 1/2 (* -1 x))))>
#<alt (* -1 (* y (+ 1/2 (* -1 x))))>
#<alt (* -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 (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* -1/2 y)>
#<alt (* -1/2 y)>
#<alt (* -1/2 y)>
#<alt (* -1/2 y)>
#<alt (* -1/2 y)>
#<alt (* -1/2 y)>
#<alt (* -1/2 y)>
#<alt (* -1/2 y)>
#<alt (* -1/2 y)>
#<alt (* -1/2 y)>
#<alt (* -1/2 y)>
#<alt (* -1/2 y)>
Calls

15 calls:

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

rewrite274.0ms (3.8%)

Algorithm
batch-egg-rewrite
Rules
2768×*-lowering-*.f32
2768×*-lowering-*.f64
1858×sum5-define
1518×fmsub-define
1518×fmm-def
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0611
12511
222011
3283811
0827211
Stop Event
iter limit
node limit
Counts
3 → 112
Calls
Call 1
Inputs
(+ (* y x) (* y -1/2))
(* y x)
(* y -1/2)
Outputs
(+.f64 (*.f64 y x) (*.f64 y #s(literal -1/2 binary64)))
(+.f64 (*.f64 y #s(literal -1/2 binary64)) (*.f64 y x))
(+.f64 (/.f64 (*.f64 (*.f64 y x) (*.f64 y x)) (*.f64 y (+.f64 x #s(literal 1/2 binary64)))) (neg.f64 (/.f64 (*.f64 y (*.f64 y #s(literal 1/4 binary64))) (*.f64 y (+.f64 x #s(literal 1/2 binary64))))))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (+.f64 x #s(literal -1/2 binary64))))) #s(literal -1 binary64)))
(-.f64 (/.f64 (*.f64 (*.f64 y x) (*.f64 y x)) (*.f64 y (+.f64 x #s(literal 1/2 binary64)))) (/.f64 (*.f64 y (*.f64 y #s(literal 1/4 binary64))) (*.f64 y (+.f64 x #s(literal 1/2 binary64)))))
(-.f64 (/.f64 (*.f64 y (*.f64 y #s(literal 1/4 binary64))) (*.f64 y (-.f64 #s(literal -1/2 binary64) x))) (/.f64 (*.f64 (*.f64 y x) (*.f64 y x)) (*.f64 y (-.f64 #s(literal -1/2 binary64) x))))
(fma.f64 y x (*.f64 y #s(literal -1/2 binary64)))
(fma.f64 y #s(literal -1/2 binary64) (*.f64 y x))
(fma.f64 y (/.f64 (*.f64 y (*.f64 x x)) (*.f64 y (+.f64 x #s(literal 1/2 binary64)))) (neg.f64 (/.f64 (*.f64 y (*.f64 y #s(literal 1/4 binary64))) (*.f64 y (+.f64 x #s(literal 1/2 binary64))))))
(fma.f64 x y (*.f64 y #s(literal -1/2 binary64)))
(fma.f64 x (/.f64 (*.f64 y (*.f64 y x)) (*.f64 y (+.f64 x #s(literal 1/2 binary64)))) (neg.f64 (/.f64 (*.f64 y (*.f64 y #s(literal 1/4 binary64))) (*.f64 y (+.f64 x #s(literal 1/2 binary64))))))
(fma.f64 (*.f64 y x) (/.f64 (*.f64 y x) (*.f64 y (+.f64 x #s(literal 1/2 binary64)))) (neg.f64 (/.f64 (*.f64 y (*.f64 y #s(literal 1/4 binary64))) (*.f64 y (+.f64 x #s(literal 1/2 binary64))))))
(fma.f64 #s(literal -1/2 binary64) y (*.f64 y x))
(fma.f64 (*.f64 (*.f64 y x) (*.f64 y x)) (/.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 x #s(literal 1/2 binary64))) (neg.f64 (/.f64 (*.f64 y (*.f64 y #s(literal 1/4 binary64))) (*.f64 y (+.f64 x #s(literal 1/2 binary64))))))
(fma.f64 (*.f64 x x) (/.f64 (*.f64 y y) (*.f64 y (+.f64 x #s(literal 1/2 binary64)))) (neg.f64 (/.f64 (*.f64 y (*.f64 y #s(literal 1/4 binary64))) (*.f64 y (+.f64 x #s(literal 1/2 binary64))))))
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(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 y (*.f64 y #s(literal 1/4 binary64))) (*.f64 (*.f64 y x) (*.f64 y (+.f64 x #s(literal 1/2 binary64)))))) (*.f64 (*.f64 y (*.f64 y y)) (+.f64 (*.f64 x (*.f64 x x)) #s(literal -1/8 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 y (*.f64 y #s(literal 1/4 binary64))) (*.f64 (*.f64 y x) (*.f64 y (+.f64 x #s(literal 1/2 binary64)))))) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y (*.f64 y y)) (+.f64 (*.f64 x (*.f64 x x)) #s(literal -1/8 binary64)))) #s(literal -1 binary64)))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 x #s(literal 1/2 binary64))) (*.f64 (*.f64 y y) (+.f64 (*.f64 x x) #s(literal -1/4 binary64))))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 x #s(literal 1/2 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) (+.f64 (*.f64 x x) #s(literal -1/4 binary64)))) #s(literal -1 binary64)))
(*.f64 (*.f64 (*.f64 y y) (-.f64 #s(literal 1/4 binary64) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (*.f64 y (-.f64 #s(literal -1/2 binary64) x))))
(*.f64 (/.f64 (*.f64 y (+.f64 x #s(literal -1/2 binary64))) y) (/.f64 (*.f64 y (+.f64 x #s(literal 1/2 binary64))) (+.f64 x #s(literal 1/2 binary64))))
(*.f64 (/.f64 (*.f64 (*.f64 y y) (+.f64 (*.f64 x x) #s(literal -1/4 binary64))) (*.f64 (*.f64 y y) (+.f64 (*.f64 x x) #s(literal -1/4 binary64)))) (*.f64 y (+.f64 x #s(literal -1/2 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 (/.f64 (+.f64 x #s(literal 1/2 binary64)) (*.f64 (*.f64 y y) (+.f64 (*.f64 x x) #s(literal -1/4 binary64)))) #s(literal -1 binary64)))
(*.f64 (/.f64 (*.f64 (*.f64 y (*.f64 y y)) (+.f64 (*.f64 x (*.f64 x x)) #s(literal -1/8 binary64))) (+.f64 (*.f64 (*.f64 y x) (*.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 y x) (*.f64 y x)))) (*.f64 (*.f64 (*.f64 y (*.f64 y y)) #s(literal -1/8 binary64)) (*.f64 (*.f64 (*.f64 y (-.f64 #s(literal -1/2 binary64) x)) (*.f64 y (-.f64 #s(literal -1/2 binary64) x))) (*.f64 y (-.f64 #s(literal -1/2 binary64) x)))))) (+.f64 (*.f64 (*.f64 y x) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 (*.f64 y (*.f64 y #s(literal -1/2 binary64))) (-.f64 #s(literal -1/2 binary64) x)) (-.f64 (*.f64 (*.f64 y (*.f64 y #s(literal -1/2 binary64))) (-.f64 #s(literal -1/2 binary64) x)) (*.f64 (*.f64 y x) (*.f64 y x))))))
(*.f64 (/.f64 (*.f64 (*.f64 y (*.f64 y y)) (+.f64 (*.f64 x (*.f64 x x)) #s(literal -1/8 binary64))) (*.f64 (+.f64 (*.f64 y (*.f64 y #s(literal 1/4 binary64))) (*.f64 (*.f64 y x) (*.f64 y (+.f64 x #s(literal 1/2 binary64))))) (+.f64 (*.f64 (*.f64 y y) (+.f64 (*.f64 x x) #s(literal -1/4 binary64))) (*.f64 y (*.f64 y (*.f64 x #s(literal -1/2 binary64))))))) (+.f64 (*.f64 (*.f64 y y) (+.f64 (*.f64 x x) #s(literal -1/4 binary64))) (*.f64 y (*.f64 y (*.f64 x #s(literal -1/2 binary64))))))
(*.f64 (/.f64 (*.f64 (*.f64 y y) (+.f64 (*.f64 x x) #s(literal -1/4 binary64))) (*.f64 (*.f64 y (*.f64 y y)) (-.f64 (*.f64 x (*.f64 x x)) #s(literal -1/8 binary64)))) (+.f64 (*.f64 (*.f64 y x) (*.f64 y x)) (*.f64 (*.f64 y (*.f64 y #s(literal -1/2 binary64))) (+.f64 x #s(literal -1/2 binary64)))))
(*.f64 (pow.f64 (/.f64 y (*.f64 y (+.f64 x #s(literal -1/2 binary64)))) #s(literal -1 binary64)) (pow.f64 (/.f64 (+.f64 x #s(literal 1/2 binary64)) (*.f64 y (+.f64 x #s(literal 1/2 binary64)))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (*.f64 y (+.f64 x #s(literal 1/2 binary64))) (*.f64 (*.f64 (*.f64 y (*.f64 y y)) (+.f64 (*.f64 x (*.f64 x x)) #s(literal -1/8 binary64))) (*.f64 (*.f64 y (*.f64 y y)) (-.f64 (*.f64 x (*.f64 x x)) #s(literal -1/8 binary64))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (*.f64 y x) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 y (*.f64 y #s(literal 1/4 binary64))) (*.f64 (*.f64 y y) (+.f64 (*.f64 x x) #s(literal 1/4 binary64)))))))
(*.f64 (pow.f64 (/.f64 (*.f64 y (+.f64 x #s(literal 1/2 binary64))) (*.f64 (*.f64 (*.f64 y y) (+.f64 (*.f64 x x) #s(literal 1/4 binary64))) (*.f64 (*.f64 y y) (+.f64 (*.f64 x x) #s(literal -1/4 binary64))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) (+.f64 (*.f64 x x) #s(literal 1/4 binary64)))))
(*.f64 (pow.f64 (/.f64 (+.f64 (*.f64 y (*.f64 y #s(literal 1/4 binary64))) (*.f64 (*.f64 y x) (*.f64 y (+.f64 x #s(literal 1/2 binary64))))) (+.f64 (*.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 y x) (*.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 y x) (*.f64 y x))))) (*.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y)))) #s(literal -1/512 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (*.f64 y x) (*.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 y x) (*.f64 y x)))) (*.f64 (*.f64 (*.f64 y (*.f64 y y)) #s(literal -1/8 binary64)) (-.f64 (*.f64 (*.f64 y (*.f64 y y)) #s(literal -1/8 binary64)) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 x (*.f64 x x))))))))
(*.f64 (pow.f64 (/.f64 (+.f64 (*.f64 y (*.f64 y #s(literal 1/4 binary64))) (*.f64 (*.f64 y x) (*.f64 y (+.f64 x #s(literal 1/2 binary64))))) (*.f64 (*.f64 (*.f64 y (*.f64 y y)) (+.f64 (*.f64 x (*.f64 x x)) #s(literal -1/8 binary64))) (*.f64 (*.f64 y (*.f64 y y)) (-.f64 (*.f64 x (*.f64 x x)) #s(literal -1/8 binary64))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y (*.f64 y y)) (-.f64 (*.f64 x (*.f64 x x)) #s(literal -1/8 binary64)))))
(exp.f64 (log.f64 (*.f64 y x)))
(exp.f64 (*.f64 (log.f64 (*.f64 y x)) #s(literal 1 binary64)))
(pow.f64 (*.f64 y x) #s(literal 1 binary64))
(*.f64 y x)
(*.f64 x y)
(*.f64 (pow.f64 y #s(literal 1 binary64)) (pow.f64 x #s(literal 1 binary64)))
(*.f64 (pow.f64 x #s(literal 1 binary64)) (pow.f64 y #s(literal 1 binary64)))
(*.f64 (exp.f64 (log.f64 y)) (exp.f64 (log.f64 x)))
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 y)))
(exp.f64 (log.f64 (*.f64 y #s(literal -1/2 binary64))))
(exp.f64 (*.f64 (log.f64 (*.f64 y #s(literal -1/2 binary64))) #s(literal 1 binary64)))
(pow.f64 (*.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64))
(*.f64 y #s(literal -1/2 binary64))
(*.f64 #s(literal -1/2 binary64) y)
(*.f64 #s(literal -1/2 binary64) (pow.f64 y #s(literal 1 binary64)))
(*.f64 (pow.f64 y #s(literal 1 binary64)) #s(literal -1/2 binary64))
(*.f64 (exp.f64 (log.f64 y)) (exp.f64 (log.f64 #s(literal -1/2 binary64))))
(*.f64 (exp.f64 (log.f64 #s(literal -1/2 binary64))) (exp.f64 (log.f64 y)))

simplify132.0ms (1.8%)

Algorithm
egg-herbie
Rules
2190×sum3-define
1814×fnmadd-define
1446×fmsub-define
1372×sum4-define
1336×fmm-def
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
023222
170222
2199222
3436222
41005222
53157222
67371222
08880222
Stop Event
iter limit
node limit
Counts
60 → 60
Calls
Call 1
Inputs
(* y (- x 1/2))
(* y (- x 1/2))
(* y (- x 1/2))
(* y (- x 1/2))
(* y (- x 1/2))
(* y (- x 1/2))
(* y (- x 1/2))
(* y (- x 1/2))
(* -1 (* y (+ 1/2 (* -1 x))))
(* -1 (* y (+ 1/2 (* -1 x))))
(* -1 (* y (+ 1/2 (* -1 x))))
(* -1 (* y (+ 1/2 (* -1 x))))
(* -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)))))
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* -1/2 y)
(* -1/2 y)
(* -1/2 y)
(* -1/2 y)
(* -1/2 y)
(* -1/2 y)
(* -1/2 y)
(* -1/2 y)
(* -1/2 y)
(* -1/2 y)
(* -1/2 y)
(* -1/2 y)
Outputs
(* y (- x 1/2))
(*.f64 y (+.f64 x #s(literal -1/2 binary64)))
(* y (- x 1/2))
(*.f64 y (+.f64 x #s(literal -1/2 binary64)))
(* y (- x 1/2))
(*.f64 y (+.f64 x #s(literal -1/2 binary64)))
(* y (- x 1/2))
(*.f64 y (+.f64 x #s(literal -1/2 binary64)))
(* y (- x 1/2))
(*.f64 y (+.f64 x #s(literal -1/2 binary64)))
(* y (- x 1/2))
(*.f64 y (+.f64 x #s(literal -1/2 binary64)))
(* y (- x 1/2))
(*.f64 y (+.f64 x #s(literal -1/2 binary64)))
(* y (- x 1/2))
(*.f64 y (+.f64 x #s(literal -1/2 binary64)))
(* -1 (* y (+ 1/2 (* -1 x))))
(*.f64 y (+.f64 x #s(literal -1/2 binary64)))
(* -1 (* y (+ 1/2 (* -1 x))))
(*.f64 y (+.f64 x #s(literal -1/2 binary64)))
(* -1 (* y (+ 1/2 (* -1 x))))
(*.f64 y (+.f64 x #s(literal -1/2 binary64)))
(* -1 (* y (+ 1/2 (* -1 x))))
(*.f64 y (+.f64 x #s(literal -1/2 binary64)))
(* -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)))
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* -1/2 y)
(*.f64 y #s(literal -1/2 binary64))
(* -1/2 y)
(*.f64 y #s(literal -1/2 binary64))
(* -1/2 y)
(*.f64 y #s(literal -1/2 binary64))
(* -1/2 y)
(*.f64 y #s(literal -1/2 binary64))
(* -1/2 y)
(*.f64 y #s(literal -1/2 binary64))
(* -1/2 y)
(*.f64 y #s(literal -1/2 binary64))
(* -1/2 y)
(*.f64 y #s(literal -1/2 binary64))
(* -1/2 y)
(*.f64 y #s(literal -1/2 binary64))
(* -1/2 y)
(*.f64 y #s(literal -1/2 binary64))
(* -1/2 y)
(*.f64 y #s(literal -1/2 binary64))
(* -1/2 y)
(*.f64 y #s(literal -1/2 binary64))
(* -1/2 y)
(*.f64 y #s(literal -1/2 binary64))

eval19.0ms (0.3%)

Compiler

Compiled 3666 to 337 computations (90.8% saved)

prune19.0ms (0.3%)

Pruning

11 alts after pruning (0 fresh and 11 done)

PrunedKeptTotal
New1720172
Fresh000
Picked011
Done01010
Total17211183
Accuracy
100.0%
Counts
183 → 11
Alt Table
Click to see full alt table
StatusAccuracyProgram
55.9%
(-.f64 (*.f64 y x) x)
49.9%
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)
100.0%
(+.f64 (*.f64 y (+.f64 x #s(literal -1/2 binary64))) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x))
51.1%
(+.f64 (*.f64 y x) (*.f64 y #s(literal -1/2 binary64)))
73.1%
(+.f64 (*.f64 y #s(literal -1/2 binary64)) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x))
45.7%
(+.f64 (*.f64 y #s(literal -1/2 binary64)) #s(literal 918938533204673/1000000000000000 binary64))
51.1%
(*.f64 y (+.f64 x #s(literal -1/2 binary64)))
28.0%
(*.f64 y x)
25.6%
(*.f64 y #s(literal -1/2 binary64))
55.9%
(*.f64 x (+.f64 y #s(literal -1 binary64)))
22.3%
#s(literal 918938533204673/1000000000000000 binary64)
Compiler

Compiled 157 to 83 computations (47.1% saved)

regimes22.0ms (0.3%)

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

4 calls:

7.0ms
x
5.0ms
(-.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 y #s(literal 1/2 binary64)))
5.0ms
y
5.0ms
(+.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)

regimes9.0ms (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 y #s(literal -1/2 binary64)))
(+.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 (*.f64 y x) (*.f64 y #s(literal -1/2 binary64)))
Calls

2 calls:

4.0ms
x
4.0ms
y
Results
AccuracySegmentsBranch
99.0%3x
99.1%3y
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes8.0ms (0.1%)

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

2 calls:

4.0ms
x
4.0ms
y
Results
AccuracySegmentsBranch
98.8%3x
98.4%3y
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes8.0ms (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 (*.f64 y x) x)
(+.f64 (*.f64 y #s(literal -1/2 binary64)) #s(literal 918938533204673/1000000000000000 binary64))
(*.f64 x (+.f64 y #s(literal -1 binary64)))
Calls

2 calls:

4.0ms
x
3.0ms
y
Results
AccuracySegmentsBranch
97.7%3y
98.0%3x
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes4.0ms (0%)

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:

3.0ms
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
81.7%4x
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes5.0ms (0.1%)

Counts
5 → 4
Calls
Call 1
Inputs
#s(literal 918938533204673/1000000000000000 binary64)
(*.f64 y #s(literal -1/2 binary64))
(*.f64 y x)
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)
(*.f64 x (+.f64 y #s(literal -1 binary64)))
Outputs
(*.f64 x (+.f64 y #s(literal -1 binary64)))
(*.f64 y #s(literal -1/2 binary64))
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)
(*.f64 x (+.f64 y #s(literal -1 binary64)))
Calls

2 calls:

2.0ms
x
2.0ms
y
Results
AccuracySegmentsBranch
81.2%4x
82.7%6y
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes17.0ms (0.2%)

Counts
4 → 6
Calls
Call 1
Inputs
#s(literal 918938533204673/1000000000000000 binary64)
(*.f64 y #s(literal -1/2 binary64))
(*.f64 y x)
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)
Outputs
(*.f64 y x)
(*.f64 y #s(literal -1/2 binary64))
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)
(*.f64 y x)
(*.f64 y #s(literal -1/2 binary64))
(*.f64 y x)
Calls

2 calls:

14.0ms
x
2.0ms
y
Results
AccuracySegmentsBranch
82.2%6y
62.6%6x
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes4.0ms (0.1%)

Counts
3 → 4
Calls
Call 1
Inputs
#s(literal 918938533204673/1000000000000000 binary64)
(*.f64 y #s(literal -1/2 binary64))
(*.f64 y x)
Outputs
(*.f64 y x)
(*.f64 y #s(literal -1/2 binary64))
#s(literal 918938533204673/1000000000000000 binary64)
(*.f64 y x)
Calls

2 calls:

2.0ms
x
2.0ms
y
Results
AccuracySegmentsBranch
52.6%4x
54.8%6y
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
x
2.0ms
y
Results
AccuracySegmentsBranch
45.0%3y
27.9%2x
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes3.0ms (0%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts
1 → 1
Calls
Call 1
Inputs
#s(literal 918938533204673/1000000000000000 binary64)
Outputs
#s(literal 918938533204673/1000000000000000 binary64)
Calls

2 calls:

1.0ms
y
1.0ms
x
Results
AccuracySegmentsBranch
22.3%1x
22.3%1y
Compiler

Compiled 6 to 4 computations (33.3% saved)

bsearch62.0ms (0.9%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
46.0ms
4.93095664275105
1718452254374546.5
14.0ms
-8.415594566341755e+42
-3.057278267960629e+41
Results
49.0ms272×0valid
Compiler

Compiled 344 to 245 computations (28.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 41.0ms
...c/correct-round.rkt:119:19: 24.0ms (58.7% of total)
ival-sub: 11.0ms (26.9% of total)
ival-mult: 4.0ms (9.8% of total)
ival-add: 1.0ms (2.4% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch33.0ms (0.5%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
12.0ms
7205321082853842.0
105299301123634130.0
18.0ms
-431950.0536375332
-0.0009877839400928151
Results
21.0ms240×0valid
Compiler

Compiled 288 to 215 computations (25.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 12.0ms
...c/correct-round.rkt:119:19: 4.0ms (32.9% of total)
ival-sub: 3.0ms (24.7% of total)
ival-mult: 3.0ms (24.7% of total)
ival-add: 1.0ms (8.2% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch42.0ms (0.6%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
18.0ms
0.1199954895182445
573677562011.1108
18.0ms
-431950.0536375332
-0.0009877839400928151
Results
26.0ms304×0valid
Compiler

Compiled 322 to 252 computations (21.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 17.0ms
ival-sub: 5.0ms (29.6% of total)
...c/correct-round.rkt:119:19: 5.0ms (29.6% of total)
ival-mult: 4.0ms (23.7% of total)
ival-add: 2.0ms (11.8% of total)
const: 1.0ms (5.9% of total)
backward-pass: 0.0ms (0% of total)

bsearch40.0ms (0.6%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
20.0ms
0.1199954895182445
573677562011.1108
16.0ms
-431950.0536375332
-0.0009877839400928151
Results
26.0ms304×0valid
Compiler

Compiled 322 to 261 computations (18.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 17.0ms
...c/correct-round.rkt:119:19: 6.0ms (35.4% of total)
ival-sub: 5.0ms (29.5% of total)
ival-mult: 4.0ms (23.6% of total)
ival-add: 2.0ms (11.8% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch37.0ms (0.5%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
18.0ms
0.003286508190057383
4.93095664275105
16.0ms
-27.11131613056595
-0.016187041272818992
Results
23.0ms256×0valid
Compiler

Compiled 242 to 190 computations (21.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 13.0ms
...c/correct-round.rkt:119:19: 5.0ms (38.8% of total)
ival-mult: 4.0ms (31% of total)
ival-sub: 3.0ms (23.3% of total)
ival-add: 1.0ms (7.8% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch49.0ms (0.7%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
narrow-enough
Steps
TimeLeftRight
12.0ms
7205321082853842.0
105299301123634130.0
12.0ms
1.5333569015270304e-305
3.134560160829426e-304
21.0ms
-0.0009877839400928151
-1.4759059097819332e-12
Results
33.0ms352×0valid
Compiler

Compiled 312 to 249 computations (20.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 23.0ms
...c/correct-round.rkt:119:19: 12.0ms (52.2% of total)
ival-mult: 5.0ms (21.8% of total)
ival-sub: 4.0ms (17.4% of total)
ival-add: 2.0ms (8.7% of total)
const: 1.0ms (4.4% of total)
backward-pass: 0.0ms (0% of total)

bsearch80.0ms (1.1%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
narrow-enough
narrow-enough
narrow-enough
Steps
TimeLeftRight
14.0ms
3.6000570833402346e+202
5.84435523179799e+206
16.0ms
3.7096498032093383e+83
7.564434136606591e+86
14.0ms
0.003286508190057383
4.93095664275105
15.0ms
-8.415594566341755e+42
-3.057278267960629e+41
12.0ms
-1.937609536979575e+162
-5.4179378770019673e+160
Results
51.0ms608×0valid
Compiler

Compiled 474 to 363 computations (23.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 32.0ms
...c/correct-round.rkt:119:19: 12.0ms (38.1% of total)
ival-mult: 8.0ms (25.4% of total)
ival-sub: 7.0ms (22.2% of total)
ival-add: 3.0ms (9.5% of total)
const: 1.0ms (3.2% of total)
backward-pass: 0.0ms (0% of total)

bsearch54.0ms (0.8%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
narrow-enough
Steps
TimeLeftRight
19.0ms
0.1199954895182445
573677562011.1108
15.0ms
1.5333569015270304e-305
3.134560160829426e-304
16.0ms
-0.0009877839400928151
-1.4759059097819332e-12
Results
34.0ms416×0valid
Compiler

Compiled 296 to 238 computations (19.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 21.0ms
...c/correct-round.rkt:119:19: 7.0ms (33.7% of total)
ival-mult: 6.0ms (28.9% of total)
ival-sub: 5.0ms (24.1% of total)
ival-add: 2.0ms (9.6% of total)
const: 1.0ms (4.8% of total)
backward-pass: 0.0ms (0% of total)

bsearch35.0ms (0.5%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
18.0ms
4.93095664275105
1718452254374546.5
14.0ms
-8.415594566341755e+42
-3.057278267960629e+41
Results
23.0ms272×0valid
Compiler

Compiled 188 to 167 computations (11.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 15.0ms
...c/correct-round.rkt:119:19: 7.0ms (46.2% of total)
ival-mult: 4.0ms (26.4% of total)
ival-sub: 3.0ms (19.8% of total)
ival-add: 1.0ms (6.6% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

simplify19.0ms (0.3%)

Algorithm
egg-herbie
Rules
20×+-commutative_binary64
10×*-commutative_binary64
if-if-or-not_binary32
sub-neg_binary64
neg-sub0_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
077220
1103220
2108220
3110220
4111220
Stop Event
saturated
Calls
Call 1
Inputs
(+.f64 (*.f64 y (+.f64 x #s(literal -1/2 binary64))) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x))
(if (<=.f64 y #s(literal -310000000000000015461995979310259547144192 binary64)) (*.f64 y (+.f64 x #s(literal -1/2 binary64))) (if (<=.f64 y #s(literal 180000000 binary64)) (+.f64 (*.f64 y x) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) (+.f64 (*.f64 y x) (*.f64 y #s(literal -1/2 binary64)))))
(if (<=.f64 x #s(literal -410000 binary64)) (-.f64 (*.f64 y x) x) (if (<=.f64 x #s(literal 7400000000000000 binary64)) (+.f64 (*.f64 y #s(literal -1/2 binary64)) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) (*.f64 x (+.f64 y #s(literal -1 binary64)))))
(if (<=.f64 x #s(literal -3152519739159347/4503599627370496 binary64)) (-.f64 (*.f64 y x) x) (if (<=.f64 x #s(literal 2476979795053773/4503599627370496 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 -3152519739159347/4503599627370496 binary64)) (*.f64 x (+.f64 y #s(literal -1 binary64))) (if (<=.f64 x #s(literal 1261007895663739/2251799813685248 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 -5404319552844595/4503599627370496 binary64)) (*.f64 y (+.f64 x #s(literal -1/2 binary64))) (if (<=.f64 y #s(literal 2476979795053773/2251799813685248 binary64)) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) (*.f64 y (+.f64 x #s(literal -1/2 binary64)))))
(if (<=.f64 x #s(literal -8762203435012037/9223372036854775808 binary64)) (*.f64 x (+.f64 y #s(literal -1 binary64))) (if (<=.f64 x #s(literal 2100121036513843/12353653155963782858428671064387042666598916611580939841119467653041402561523153496823753888027168243114445670429492914513538130943957121390808923336226715693451991227817771079374200911992994161452622538969283756626099089564495403968390097390695773702442020050803147555684412513136627351818013153603882218219464583806976 binary64)) (*.f64 y #s(literal -1/2 binary64)) (if (<=.f64 x #s(literal 7400000000000000 binary64)) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) (*.f64 x (+.f64 y #s(literal -1 binary64))))))
(if (<=.f64 y #s(literal -600000000000000022647535948936889322396981907692173861598519528721057611825232626302850683517925742870817166592182374070586593787352349194058926994756008721514496 binary64)) (*.f64 y x) (if (<=.f64 y #s(literal -310000000000000015461995979310259547144192 binary64)) (*.f64 y #s(literal -1/2 binary64)) (if (<=.f64 y #s(literal 2296835809958953/2251799813685248 binary64)) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) (if (<=.f64 y #s(literal 34000000000000003258142176559171198026883806498208452995916355631927698449548728860672 binary64)) (*.f64 y x) (if (<=.f64 y #s(literal 2350000000000000078033381998117687758959517919862175072457975584850979994181816994149346475353453951823130377924256989557808368039231917530836117016295216587823369067047823793652796063940076015208152170496 binary64)) (*.f64 y #s(literal -1/2 binary64)) (*.f64 y x))))))
(if (<=.f64 x #s(literal -8854437155380585/9223372036854775808 binary64)) (*.f64 y x) (if (<=.f64 x #s(literal 3706095946789135/24707306311927565716857342128774085333197833223161879682238935306082805123046306993647507776054336486228891340858985829027076261887914242781617846672453431386903982455635542158748401823985988322905245077938567513252198179128990807936780194781391547404884040101606295111368825026273254703636026307207764436438929167613952 binary64)) (*.f64 y #s(literal -1/2 binary64)) (if (<=.f64 x #s(literal 1261007895663739/2251799813685248 binary64)) #s(literal 918938533204673/1000000000000000 binary64) (*.f64 y x))))
(if (<=.f64 y #s(literal -310000000000000015461995979310259547144192 binary64)) (*.f64 y #s(literal -1/2 binary64)) (if (<=.f64 y #s(literal 5 binary64)) #s(literal 918938533204673/1000000000000000 binary64) (*.f64 y #s(literal -1/2 binary64))))
#s(literal 918938533204673/1000000000000000 binary64)
Outputs
(+.f64 (*.f64 y (+.f64 x #s(literal -1/2 binary64))) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x))
(if (<=.f64 y #s(literal -310000000000000015461995979310259547144192 binary64)) (*.f64 y (+.f64 x #s(literal -1/2 binary64))) (if (<=.f64 y #s(literal 180000000 binary64)) (+.f64 (*.f64 y x) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) (+.f64 (*.f64 y x) (*.f64 y #s(literal -1/2 binary64)))))
(if (<=.f64 y #s(literal -310000000000000015461995979310259547144192 binary64)) (*.f64 y (+.f64 x #s(literal -1/2 binary64))) (if (<=.f64 y #s(literal 180000000 binary64)) (+.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) (*.f64 y x)) (+.f64 (*.f64 y x) (*.f64 y #s(literal -1/2 binary64)))))
(if (<=.f64 x #s(literal -410000 binary64)) (-.f64 (*.f64 y x) x) (if (<=.f64 x #s(literal 7400000000000000 binary64)) (+.f64 (*.f64 y #s(literal -1/2 binary64)) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) (*.f64 x (+.f64 y #s(literal -1 binary64)))))
(if (<=.f64 x #s(literal -410000 binary64)) (-.f64 (*.f64 y x) x) (if (<=.f64 x #s(literal 7400000000000000 binary64)) (+.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) (*.f64 y #s(literal -1/2 binary64))) (*.f64 x (+.f64 y #s(literal -1 binary64)))))
(if (<=.f64 x #s(literal -3152519739159347/4503599627370496 binary64)) (-.f64 (*.f64 y x) x) (if (<=.f64 x #s(literal 2476979795053773/4503599627370496 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 -3152519739159347/4503599627370496 binary64)) (-.f64 (*.f64 y x) x) (if (<=.f64 x #s(literal 2476979795053773/4503599627370496 binary64)) (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 y #s(literal -1/2 binary64))) (*.f64 x (+.f64 y #s(literal -1 binary64)))))
(if (<=.f64 x #s(literal -3152519739159347/4503599627370496 binary64)) (*.f64 x (+.f64 y #s(literal -1 binary64))) (if (<=.f64 x #s(literal 1261007895663739/2251799813685248 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 -3152519739159347/4503599627370496 binary64)) (*.f64 x (+.f64 y #s(literal -1 binary64))) (if (<=.f64 x #s(literal 1261007895663739/2251799813685248 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 -5404319552844595/4503599627370496 binary64)) (*.f64 y (+.f64 x #s(literal -1/2 binary64))) (if (<=.f64 y #s(literal 2476979795053773/2251799813685248 binary64)) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) (*.f64 y (+.f64 x #s(literal -1/2 binary64)))))
(if (<=.f64 x #s(literal -8762203435012037/9223372036854775808 binary64)) (*.f64 x (+.f64 y #s(literal -1 binary64))) (if (<=.f64 x #s(literal 2100121036513843/12353653155963782858428671064387042666598916611580939841119467653041402561523153496823753888027168243114445670429492914513538130943957121390808923336226715693451991227817771079374200911992994161452622538969283756626099089564495403968390097390695773702442020050803147555684412513136627351818013153603882218219464583806976 binary64)) (*.f64 y #s(literal -1/2 binary64)) (if (<=.f64 x #s(literal 7400000000000000 binary64)) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) (*.f64 x (+.f64 y #s(literal -1 binary64))))))
(if (<=.f64 y #s(literal -600000000000000022647535948936889322396981907692173861598519528721057611825232626302850683517925742870817166592182374070586593787352349194058926994756008721514496 binary64)) (*.f64 y x) (if (<=.f64 y #s(literal -310000000000000015461995979310259547144192 binary64)) (*.f64 y #s(literal -1/2 binary64)) (if (<=.f64 y #s(literal 2296835809958953/2251799813685248 binary64)) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) (if (<=.f64 y #s(literal 34000000000000003258142176559171198026883806498208452995916355631927698449548728860672 binary64)) (*.f64 y x) (if (<=.f64 y #s(literal 2350000000000000078033381998117687758959517919862175072457975584850979994181816994149346475353453951823130377924256989557808368039231917530836117016295216587823369067047823793652796063940076015208152170496 binary64)) (*.f64 y #s(literal -1/2 binary64)) (*.f64 y x))))))
(if (<=.f64 x #s(literal -8854437155380585/9223372036854775808 binary64)) (*.f64 y x) (if (<=.f64 x #s(literal 3706095946789135/24707306311927565716857342128774085333197833223161879682238935306082805123046306993647507776054336486228891340858985829027076261887914242781617846672453431386903982455635542158748401823985988322905245077938567513252198179128990807936780194781391547404884040101606295111368825026273254703636026307207764436438929167613952 binary64)) (*.f64 y #s(literal -1/2 binary64)) (if (<=.f64 x #s(literal 1261007895663739/2251799813685248 binary64)) #s(literal 918938533204673/1000000000000000 binary64) (*.f64 y x))))
(if (<=.f64 y #s(literal -310000000000000015461995979310259547144192 binary64)) (*.f64 y #s(literal -1/2 binary64)) (if (<=.f64 y #s(literal 5 binary64)) #s(literal 918938533204673/1000000000000000 binary64) (*.f64 y #s(literal -1/2 binary64))))
#s(literal 918938533204673/1000000000000000 binary64)

soundness1.5s (20.3%)

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
277735
0875735
01010
1279
2699
31599
43458
58908
625588
746808
874228
080118
01221102
14221004
21379953
34685941
08064941
080625
1256575
2743575
32198575
47172575
08437575
Stop Event
done
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
Compiler

Compiled 739 to 444 computations (39.9% saved)

preprocess82.0ms (1.1%)

Compiler

Compiled 494 to 174 computations (64.8% saved)

end0.0ms (0%)

Profiling

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