Text.Parsec.Token:makeTokenParser from parsec-3.1.9, A

Time bar (total: 4.4s)

analyze1.0ms (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 8 to 6 computations (25% saved)

Precisions
Click to see histograms. Total time spent on operations: 0.0ms
ival-div: 0.0ms (0% of total)
ival-add: 0.0ms (0% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

sample581.0ms (13.3%)

Results
376.0ms8256×0valid
Precisions
Click to see histograms. Total time spent on operations: 170.0ms
ival-div: 92.0ms (54.1% of total)
ival-add: 64.0ms (37.6% of total)
const: 11.0ms (6.5% of total)
backward-pass: 3.0ms (1.8% of total)
Bogosity

preprocess36.0ms (0.8%)

Algorithm
egg-herbie
Rules
432×fmsub-define
416×fnmsub-define
416×fnmadd-define
356×fmm-def
228×sum3-define
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01532
13630
26930
315630
450030
5118730
6148930
7166230
8170630
055
165
065
Stop Event
iter limit
saturated
saturated
Calls
Call 1
Inputs
(/ (+ x y) 10)
Outputs
(/ (+ x y) 10)
(/.f64 (+.f64 x y) #s(literal 10 binary64))
Call 2
Inputs
(/ (+ x y) 10)
(/ (+ (neg x) y) 10)
(/ (+ x (neg y)) 10)
(neg (/ (+ (neg x) y) 10))
(neg (/ (+ x (neg y)) 10))
(/ (+ y x) 10)
Outputs
(/ (+ x y) 10)
(* (+ x y) 1/10)
(/ (+ (neg x) y) 10)
(* (- y x) 1/10)
(/ (+ x (neg y)) 10)
(* (- y x) -1/10)
(neg (/ (+ (neg x) y) 10))
(* (- y x) -1/10)
(neg (/ (+ x (neg y)) 10))
(* (- y x) 1/10)
(/ (+ y x) 10)
(* (+ x y) 1/10)
Symmetry

(sort x y)

explain59.0ms (1.4%)

FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-(/.f64 (+.f64 x y) #s(literal 10 binary64))
00-0-x
00-0-#s(literal 10 binary64)
00-0-(+.f64 x y)
00-0-y
Results
25.0ms512×0valid
Compiler

Compiled 35 to 17 computations (51.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 9.0ms
ival-div: 4.0ms (43.9% of total)
ival-add: 3.0ms (32.9% of total)
const: 2.0ms (22% of total)
backward-pass: 0.0ms (0% of total)

eval0.0ms (0%)

Compiler

Compiled 7 to 5 computations (28.6% saved)

prune1.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(/.f64 (+.f64 x y) #s(literal 10 binary64))
Compiler

Compiled 7 to 5 computations (28.6% saved)

simplify3.0ms (0.1%)

Algorithm
egg-herbie
Localize:

Found 2 expressions of interest:

NewMetricScoreProgram
cost-diff0
(+.f64 x y)
cost-diff0
(/.f64 (+.f64 x y) #s(literal 10 binary64))
Rules
+-lowering-+.f64
+-lowering-+.f32
/-lowering-/.f32
/-lowering-/.f64
+-commutative
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0511
1611
0611
Stop Event
iter limit
saturated
Calls
Call 1
Inputs
(/ (+ x y) 10)
(+ x y)
x
y
10
Outputs
(/ (+ x y) 10)
(/.f64 (+.f64 x y) #s(literal 10 binary64))
(+ x y)
(+.f64 x y)
x
y
10
#s(literal 10 binary64)

localize20.0ms (0.5%)

Localize:

Found 2 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(+.f64 x y)
accuracy100.0%
(/.f64 (+.f64 x y) #s(literal 10 binary64))
Results
14.0ms256×0valid
Compiler

Compiled 14 to 6 computations (57.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 4.0ms
ival-div: 2.0ms (50.2% of total)
ival-add: 2.0ms (50.2% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

series2.0ms (0.1%)

Counts
2 → 48
Calls
Call 1
Inputs
#<alt (/ (+ x y) 10)>
#<alt (+ x y)>
Outputs
#<alt (* 1/10 y)>
#<alt (+ (* 1/10 x) (* 1/10 y))>
#<alt (+ (* 1/10 x) (* 1/10 y))>
#<alt (+ (* 1/10 x) (* 1/10 y))>
#<alt (* 1/10 x)>
#<alt (* x (+ 1/10 (* 1/10 (/ y x))))>
#<alt (* x (+ 1/10 (* 1/10 (/ y x))))>
#<alt (* x (+ 1/10 (* 1/10 (/ y x))))>
#<alt (* 1/10 x)>
#<alt (* -1 (* x (- (* -1/10 (/ y x)) 1/10)))>
#<alt (* -1 (* x (- (* -1/10 (/ y x)) 1/10)))>
#<alt (* -1 (* x (- (* -1/10 (/ y x)) 1/10)))>
#<alt (* 1/10 x)>
#<alt (+ (* 1/10 x) (* 1/10 y))>
#<alt (+ (* 1/10 x) (* 1/10 y))>
#<alt (+ (* 1/10 x) (* 1/10 y))>
#<alt (* 1/10 y)>
#<alt (* y (+ 1/10 (* 1/10 (/ x y))))>
#<alt (* y (+ 1/10 (* 1/10 (/ x y))))>
#<alt (* y (+ 1/10 (* 1/10 (/ x y))))>
#<alt (* 1/10 y)>
#<alt (* -1 (* y (- (* -1/10 (/ x y)) 1/10)))>
#<alt (* -1 (* y (- (* -1/10 (/ x y)) 1/10)))>
#<alt (* -1 (* y (- (* -1/10 (/ x y)) 1/10)))>
#<alt y>
#<alt (+ x y)>
#<alt (+ x y)>
#<alt (+ x y)>
#<alt x>
#<alt (* x (+ 1 (/ y x)))>
#<alt (* x (+ 1 (/ y x)))>
#<alt (* x (+ 1 (/ y x)))>
#<alt x>
#<alt (* -1 (* x (- (* -1 (/ y x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ y x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ y x)) 1)))>
#<alt x>
#<alt (+ x y)>
#<alt (+ x y)>
#<alt (+ x y)>
#<alt y>
#<alt (* y (+ 1 (/ x y)))>
#<alt (* y (+ 1 (/ x y)))>
#<alt (* y (+ 1 (/ x y)))>
#<alt y>
#<alt (* -1 (* y (- (* -1 (/ x y)) 1)))>
#<alt (* -1 (* y (- (* -1 (/ x y)) 1)))>
#<alt (* -1 (* y (- (* -1 (/ x y)) 1)))>
Calls

12 calls:

TimeVariablePointExpression
0.0ms
x
@inf
(/ (+ x y) 10)
0.0ms
x
@-inf
(/ (+ x y) 10)
0.0ms
y
@inf
(/ (+ x y) 10)
0.0ms
x
@inf
(+ x y)
0.0ms
x
@0
(/ (+ x y) 10)

rewrite364.0ms (8.3%)

Algorithm
batch-egg-rewrite
Rules
3166×/-lowering-/.f32
3166×/-lowering-/.f64
2164×*-lowering-*.f32
2164×*-lowering-*.f64
1926×fma-lowering-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
058
1298
21988
319478
083218
Stop Event
iter limit
node limit
Counts
2 → 315
Calls
Call 1
Inputs
(/ (+ x y) 10)
(+ x y)
Outputs
(+.f64 (*.f64 #s(literal 1/10 binary64) x) (*.f64 #s(literal 1/10 binary64) y))
(+.f64 (*.f64 #s(literal 1/10 binary64) y) (*.f64 #s(literal 1/10 binary64) x))
(+.f64 (*.f64 x #s(literal 1/10 binary64)) (*.f64 y #s(literal 1/10 binary64)))
(+.f64 (*.f64 y #s(literal 1/10 binary64)) (*.f64 x #s(literal 1/10 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 10 binary64) (+.f64 x y))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 (+.f64 x y) #s(literal -10 binary64)))
(-.f64 (/.f64 (*.f64 x (/.f64 x (-.f64 x y))) #s(literal 10 binary64)) (/.f64 (*.f64 y (/.f64 y (-.f64 x y))) #s(literal 10 binary64)))
(-.f64 (/.f64 (*.f64 x x) (*.f64 #s(literal 10 binary64) (-.f64 x y))) (/.f64 (*.f64 y y) (*.f64 #s(literal 10 binary64) (-.f64 x y))))
(-.f64 (/.f64 (*.f64 x x) (*.f64 #s(literal 10 binary64) (-.f64 x y))) (/.f64 (-.f64 (*.f64 y y) (+.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (*.f64 y y))) (*.f64 #s(literal 10 binary64) (-.f64 x y))))
(-.f64 (/.f64 (/.f64 (*.f64 y y) (-.f64 y x)) #s(literal 10 binary64)) (/.f64 (/.f64 (*.f64 x x) (-.f64 y x)) #s(literal 10 binary64)))
(-.f64 (/.f64 (-.f64 #s(literal 0 binary64) y) #s(literal -10 binary64)) (/.f64 x #s(literal -10 binary64)))
(-.f64 (/.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -10 binary64)) (/.f64 y #s(literal -10 binary64)))
(-.f64 (/.f64 (/.f64 (*.f64 x x) (-.f64 #s(literal 0 binary64) (-.f64 x y))) #s(literal -10 binary64)) (/.f64 (/.f64 (*.f64 y y) (-.f64 #s(literal 0 binary64) (-.f64 x y))) #s(literal -10 binary64)))
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (-.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y)))) (*.f64 #s(literal 10 binary64) (+.f64 (*.f64 x x) (*.f64 y (-.f64 y x))))) (/.f64 (/.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))) (-.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y)))) (*.f64 #s(literal 10 binary64) (+.f64 (*.f64 x x) (*.f64 y (-.f64 y x))))))
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (-.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y)))) (*.f64 #s(literal -10 binary64) (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 x x) (*.f64 y (-.f64 y x)))))) (/.f64 (/.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))) (-.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y)))) (*.f64 #s(literal -10 binary64) (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 x x) (*.f64 y (-.f64 y x)))))))
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (+.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 y y) (+.f64 (*.f64 x x) (*.f64 y y))))) (*.f64 #s(literal 10 binary64) (-.f64 x y))) (/.f64 (/.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))) (+.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 y y) (+.f64 (*.f64 x x) (*.f64 y y))))) (*.f64 #s(literal 10 binary64) (-.f64 x y))))
(-.f64 (/.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 (*.f64 x x) (*.f64 y y))) (*.f64 #s(literal 10 binary64) (-.f64 x y))) (/.f64 (/.f64 (*.f64 y (*.f64 y (*.f64 y y))) (+.f64 (*.f64 x x) (*.f64 y y))) (*.f64 #s(literal 10 binary64) (-.f64 x y))))
(-.f64 (/.f64 (*.f64 x x) (*.f64 #s(literal -10 binary64) (-.f64 #s(literal 0 binary64) (-.f64 x y)))) (/.f64 (*.f64 y y) (*.f64 #s(literal -10 binary64) (-.f64 #s(literal 0 binary64) (-.f64 x y)))))
(-.f64 (/.f64 (*.f64 x x) (*.f64 #s(literal -10 binary64) (-.f64 #s(literal 0 binary64) (-.f64 x y)))) (/.f64 (-.f64 (*.f64 y y) (+.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (*.f64 y y))) (*.f64 #s(literal -10 binary64) (-.f64 #s(literal 0 binary64) (-.f64 x y)))))
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (+.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 y y) (+.f64 (*.f64 x x) (*.f64 y y))))) (*.f64 #s(literal -10 binary64) (-.f64 #s(literal 0 binary64) (-.f64 x y)))) (/.f64 (/.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))) (+.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 y y) (+.f64 (*.f64 x x) (*.f64 y y))))) (*.f64 #s(literal -10 binary64) (-.f64 #s(literal 0 binary64) (-.f64 x y)))))
(-.f64 (/.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 (*.f64 x x) (*.f64 y y))) (*.f64 #s(literal -10 binary64) (-.f64 #s(literal 0 binary64) (-.f64 x y)))) (/.f64 (/.f64 (*.f64 y (*.f64 y (*.f64 y y))) (+.f64 (*.f64 x x) (*.f64 y y))) (*.f64 #s(literal -10 binary64) (-.f64 #s(literal 0 binary64) (-.f64 x y)))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (*.f64 #s(literal 10 binary64) (+.f64 (*.f64 x x) (*.f64 y (-.f64 y x)))))) (/.f64 (+.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y))) (neg.f64 (*.f64 #s(literal 10 binary64) (+.f64 (*.f64 x x) (*.f64 y (-.f64 y x)))))))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 #s(literal 10 binary64) (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 x x) (*.f64 y (-.f64 y x)))))) (/.f64 (+.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y))) (*.f64 #s(literal 10 binary64) (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 x x) (*.f64 y (-.f64 y x)))))))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 #s(literal -10 binary64) (+.f64 (*.f64 x x) (*.f64 y (-.f64 y x))))) (/.f64 (+.f64 x y) #s(literal -10 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (*.f64 #s(literal 10 binary64) (-.f64 x y)))) (/.f64 (-.f64 (*.f64 x x) (*.f64 y y)) (neg.f64 (*.f64 #s(literal 10 binary64) (-.f64 x y)))))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 #s(literal 10 binary64) (-.f64 #s(literal 0 binary64) (-.f64 x y)))) (/.f64 (-.f64 (*.f64 x x) (*.f64 y y)) (*.f64 #s(literal 10 binary64) (-.f64 #s(literal 0 binary64) (-.f64 x y)))))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 #s(literal -10 binary64) (-.f64 x y))) (/.f64 (+.f64 x y) #s(literal -10 binary64)))
(-.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 #s(literal 10 binary64) (+.f64 (*.f64 x x) (*.f64 y (-.f64 y x)))) (-.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y))))) (/.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))) (*.f64 (*.f64 #s(literal 10 binary64) (+.f64 (*.f64 x x) (*.f64 y (-.f64 y x)))) (-.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y))))))
(-.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 #s(literal 10 binary64) (-.f64 x y)) (+.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 y y) (+.f64 (*.f64 x x) (*.f64 y y)))))) (/.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))) (*.f64 (*.f64 #s(literal 10 binary64) (-.f64 x y)) (+.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 y y) (+.f64 (*.f64 x x) (*.f64 y y)))))))
(-.f64 (/.f64 (*.f64 y y) (*.f64 #s(literal 10 binary64) (-.f64 y x))) (/.f64 (*.f64 x x) (*.f64 #s(literal 10 binary64) (-.f64 y x))))
(-.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 #s(literal 10 binary64) (-.f64 x y)) (+.f64 (*.f64 x x) (*.f64 y y)))) (/.f64 (*.f64 y (*.f64 y (*.f64 y y))) (*.f64 (*.f64 #s(literal 10 binary64) (-.f64 x y)) (+.f64 (*.f64 x x) (*.f64 y y)))))
(fma.f64 x #s(literal 1/10 binary64) (*.f64 y #s(literal 1/10 binary64)))
(fma.f64 y #s(literal 1/10 binary64) (*.f64 x #s(literal 1/10 binary64)))
(fma.f64 #s(literal 1/10 binary64) x (*.f64 #s(literal 1/10 binary64) y))
(fma.f64 #s(literal 1/10 binary64) y (*.f64 #s(literal 1/10 binary64) x))
(neg.f64 (/.f64 (+.f64 x y) #s(literal -10 binary64)))
(neg.f64 (*.f64 #s(literal 1 binary64) (/.f64 (+.f64 x y) #s(literal -10 binary64))))
(/.f64 (+.f64 x y) #s(literal 10 binary64))
(/.f64 (-.f64 (-.f64 #s(literal 0 binary64) y) x) #s(literal -10 binary64))
(/.f64 (+.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y))) (*.f64 #s(literal 10 binary64) (+.f64 (*.f64 x x) (*.f64 y (-.f64 y x)))))
(/.f64 (+.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y))) (*.f64 #s(literal -10 binary64) (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 x x) (*.f64 y (-.f64 y x))))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 10 binary64) (+.f64 x y)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 x x) (*.f64 y (-.f64 y x))) (*.f64 (+.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y))) #s(literal 1/10 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (*.f64 (+.f64 x y) (*.f64 (-.f64 x y) #s(literal 1/10 binary64)))))
(/.f64 #s(literal 1/10 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x y)))
(/.f64 (-.f64 (*.f64 x x) (*.f64 y y)) (*.f64 #s(literal 10 binary64) (-.f64 x y)))
(/.f64 (-.f64 (*.f64 x x) (*.f64 y y)) (*.f64 #s(literal -10 binary64) (-.f64 #s(literal 0 binary64) (-.f64 x y))))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -10 binary64) (+.f64 x y)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 (*.f64 x x) (*.f64 y (-.f64 y x))) (*.f64 (+.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y))) #s(literal 1/10 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 x y) (*.f64 (+.f64 x y) (*.f64 (-.f64 x y) #s(literal 1/10 binary64))))))
(/.f64 (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y)))) (neg.f64 (*.f64 #s(literal 10 binary64) (+.f64 (*.f64 x x) (*.f64 y (-.f64 y x))))))
(/.f64 (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y)))) (*.f64 #s(literal 10 binary64) (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 x x) (*.f64 y (-.f64 y x))))))
(/.f64 (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y)))) (*.f64 #s(literal -10 binary64) (+.f64 (*.f64 x x) (*.f64 y (-.f64 y x)))))
(/.f64 (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y)))) (neg.f64 (*.f64 #s(literal -10 binary64) (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 x x) (*.f64 y (-.f64 y x)))))))
(/.f64 (*.f64 (+.f64 x y) (-.f64 #s(literal 0 binary64) (-.f64 x y))) (neg.f64 (*.f64 #s(literal 10 binary64) (-.f64 x y))))
(/.f64 (*.f64 (+.f64 x y) (-.f64 #s(literal 0 binary64) (-.f64 x y))) (*.f64 #s(literal 10 binary64) (-.f64 #s(literal 0 binary64) (-.f64 x y))))
(/.f64 (*.f64 (+.f64 x y) (-.f64 #s(literal 0 binary64) (-.f64 x y))) (*.f64 #s(literal -10 binary64) (-.f64 x y)))
(/.f64 (*.f64 (+.f64 x y) (-.f64 #s(literal 0 binary64) (-.f64 x y))) (neg.f64 (*.f64 #s(literal -10 binary64) (-.f64 #s(literal 0 binary64) (-.f64 x y)))))
(/.f64 (+.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))))) (*.f64 (*.f64 #s(literal 10 binary64) (+.f64 (*.f64 x x) (*.f64 y (-.f64 y x)))) (+.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 y (*.f64 y y)) (-.f64 (*.f64 y (*.f64 y y)) (*.f64 x (*.f64 x x)))))))
(/.f64 #s(literal -1/10 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 x y))))
(/.f64 (-.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y)))) (*.f64 (*.f64 #s(literal 10 binary64) (+.f64 (*.f64 x x) (*.f64 y (-.f64 y x)))) (-.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y)))))
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(/.f64 (neg.f64 (*.f64 (-.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y)))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x x) (*.f64 y (-.f64 y x)))))) (neg.f64 (-.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y)))))
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(pow.f64 (+.f64 x y) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 x y)) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x y)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 y x) (-.f64 (*.f64 y y) (*.f64 x x))) #s(literal -1 binary64))
(*.f64 (+.f64 x y) (/.f64 (-.f64 x y) (-.f64 x y)))
(*.f64 (+.f64 x y) (*.f64 (-.f64 x y) (/.f64 #s(literal 1 binary64) (-.f64 x y))))
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(*.f64 (+.f64 (*.f64 x x) (*.f64 y (-.f64 y x))) (/.f64 (+.f64 x y) (+.f64 (*.f64 x x) (*.f64 y (-.f64 y x)))))
(*.f64 (+.f64 (*.f64 x x) (*.f64 y (-.f64 y x))) (*.f64 (+.f64 x y) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x x) (*.f64 y (-.f64 y x))))))
(*.f64 #s(literal 1 binary64) (+.f64 x y))
(*.f64 (-.f64 (*.f64 x x) (*.f64 y y)) (/.f64 #s(literal 1 binary64) (-.f64 x y)))
(*.f64 #s(literal -1 binary64) (-.f64 (-.f64 #s(literal 0 binary64) y) x))
(*.f64 (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 x x) (*.f64 y (-.f64 y x))))))
(*.f64 (*.f64 (+.f64 x y) (-.f64 #s(literal 0 binary64) (-.f64 x y))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (-.f64 x y))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x x) (*.f64 y (-.f64 y x)))) (+.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x x) (*.f64 y (-.f64 y x)))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y)))) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 x y)) (-.f64 (*.f64 x x) (*.f64 y y)))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 x y)) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x x) (*.f64 y y))) #s(literal -1 binary64)))
(*.f64 (-.f64 (*.f64 y y) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (-.f64 y x)))
(*.f64 (/.f64 (-.f64 (*.f64 x x) (*.f64 y y)) (-.f64 (*.f64 x x) (*.f64 y y))) (+.f64 x y))
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simplify144.0ms (3.3%)

Algorithm
egg-herbie
Rules
1864×fnmadd-define
1816×fma-lowering-fma.f32
1816×fma-lowering-fma.f64
1812×sum5-define
1630×fma-define
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
038168
1124168
2302168
3871168
42404168
54335168
08030168
Stop Event
iter limit
node limit
Counts
48 → 48
Calls
Call 1
Inputs
(* 1/10 y)
(+ (* 1/10 x) (* 1/10 y))
(+ (* 1/10 x) (* 1/10 y))
(+ (* 1/10 x) (* 1/10 y))
(* 1/10 x)
(* x (+ 1/10 (* 1/10 (/ y x))))
(* x (+ 1/10 (* 1/10 (/ y x))))
(* x (+ 1/10 (* 1/10 (/ y x))))
(* 1/10 x)
(* -1 (* x (- (* -1/10 (/ y x)) 1/10)))
(* -1 (* x (- (* -1/10 (/ y x)) 1/10)))
(* -1 (* x (- (* -1/10 (/ y x)) 1/10)))
(* 1/10 x)
(+ (* 1/10 x) (* 1/10 y))
(+ (* 1/10 x) (* 1/10 y))
(+ (* 1/10 x) (* 1/10 y))
(* 1/10 y)
(* y (+ 1/10 (* 1/10 (/ x y))))
(* y (+ 1/10 (* 1/10 (/ x y))))
(* y (+ 1/10 (* 1/10 (/ x y))))
(* 1/10 y)
(* -1 (* y (- (* -1/10 (/ x y)) 1/10)))
(* -1 (* y (- (* -1/10 (/ x y)) 1/10)))
(* -1 (* y (- (* -1/10 (/ x y)) 1/10)))
y
(+ x y)
(+ x y)
(+ x y)
x
(* x (+ 1 (/ y x)))
(* x (+ 1 (/ y x)))
(* x (+ 1 (/ y x)))
x
(* -1 (* x (- (* -1 (/ y x)) 1)))
(* -1 (* x (- (* -1 (/ y x)) 1)))
(* -1 (* x (- (* -1 (/ y x)) 1)))
x
(+ x y)
(+ x y)
(+ x y)
y
(* y (+ 1 (/ x y)))
(* y (+ 1 (/ x y)))
(* y (+ 1 (/ x y)))
y
(* -1 (* y (- (* -1 (/ x y)) 1)))
(* -1 (* y (- (* -1 (/ x y)) 1)))
(* -1 (* y (- (* -1 (/ x y)) 1)))
Outputs
(* 1/10 y)
(*.f64 #s(literal 1/10 binary64) y)
(+ (* 1/10 x) (* 1/10 y))
(*.f64 #s(literal 1/10 binary64) (+.f64 y x))
(+ (* 1/10 x) (* 1/10 y))
(*.f64 #s(literal 1/10 binary64) (+.f64 y x))
(+ (* 1/10 x) (* 1/10 y))
(*.f64 #s(literal 1/10 binary64) (+.f64 y x))
(* 1/10 x)
(*.f64 #s(literal 1/10 binary64) x)
(* x (+ 1/10 (* 1/10 (/ y x))))
(*.f64 #s(literal 1/10 binary64) (+.f64 y x))
(* x (+ 1/10 (* 1/10 (/ y x))))
(*.f64 #s(literal 1/10 binary64) (+.f64 y x))
(* x (+ 1/10 (* 1/10 (/ y x))))
(*.f64 #s(literal 1/10 binary64) (+.f64 y x))
(* 1/10 x)
(*.f64 #s(literal 1/10 binary64) x)
(* -1 (* x (- (* -1/10 (/ y x)) 1/10)))
(*.f64 #s(literal 1/10 binary64) (+.f64 y x))
(* -1 (* x (- (* -1/10 (/ y x)) 1/10)))
(*.f64 #s(literal 1/10 binary64) (+.f64 y x))
(* -1 (* x (- (* -1/10 (/ y x)) 1/10)))
(*.f64 #s(literal 1/10 binary64) (+.f64 y x))
(* 1/10 x)
(*.f64 #s(literal 1/10 binary64) x)
(+ (* 1/10 x) (* 1/10 y))
(*.f64 #s(literal 1/10 binary64) (+.f64 y x))
(+ (* 1/10 x) (* 1/10 y))
(*.f64 #s(literal 1/10 binary64) (+.f64 y x))
(+ (* 1/10 x) (* 1/10 y))
(*.f64 #s(literal 1/10 binary64) (+.f64 y x))
(* 1/10 y)
(*.f64 #s(literal 1/10 binary64) y)
(* y (+ 1/10 (* 1/10 (/ x y))))
(*.f64 #s(literal 1/10 binary64) (+.f64 y x))
(* y (+ 1/10 (* 1/10 (/ x y))))
(*.f64 #s(literal 1/10 binary64) (+.f64 y x))
(* y (+ 1/10 (* 1/10 (/ x y))))
(*.f64 #s(literal 1/10 binary64) (+.f64 y x))
(* 1/10 y)
(*.f64 #s(literal 1/10 binary64) y)
(* -1 (* y (- (* -1/10 (/ x y)) 1/10)))
(*.f64 #s(literal 1/10 binary64) (+.f64 y x))
(* -1 (* y (- (* -1/10 (/ x y)) 1/10)))
(*.f64 #s(literal 1/10 binary64) (+.f64 y x))
(* -1 (* y (- (* -1/10 (/ x y)) 1/10)))
(*.f64 #s(literal 1/10 binary64) (+.f64 y x))
y
(+ x y)
(+.f64 y x)
(+ x y)
(+.f64 y x)
(+ x y)
(+.f64 y x)
x
(* x (+ 1 (/ y x)))
(+.f64 y x)
(* x (+ 1 (/ y x)))
(+.f64 y x)
(* x (+ 1 (/ y x)))
(+.f64 y x)
x
(* -1 (* x (- (* -1 (/ y x)) 1)))
(+.f64 y x)
(* -1 (* x (- (* -1 (/ y x)) 1)))
(+.f64 y x)
(* -1 (* x (- (* -1 (/ y x)) 1)))
(+.f64 y x)
x
(+ x y)
(+.f64 y x)
(+ x y)
(+.f64 y x)
(+ x y)
(+.f64 y x)
y
(* y (+ 1 (/ x y)))
(+.f64 y x)
(* y (+ 1 (/ x y)))
(+.f64 y x)
(* y (+ 1 (/ x y)))
(+.f64 y x)
y
(* -1 (* y (- (* -1 (/ x y)) 1)))
(+.f64 y x)
(* -1 (* y (- (* -1 (/ x y)) 1)))
(+.f64 y x)
(* -1 (* y (- (* -1 (/ x y)) 1)))
(+.f64 y x)

eval44.0ms (1%)

Compiler

Compiled 9403 to 932 computations (90.1% saved)

prune51.0ms (1.2%)

Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New3576363
Fresh000
Picked011
Done000
Total3577364
Accuracy
100.0%
Counts
364 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(/.f64 (+.f64 x y) #s(literal 10 binary64))
52.4%
(/.f64 y #s(literal 10 binary64))
48.4%
(/.f64 x #s(literal 10 binary64))
99.7%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 10 binary64) (+.f64 x y)))
99.4%
(+.f64 (*.f64 y #s(literal 1/10 binary64)) (*.f64 x #s(literal 1/10 binary64)))
52.1%
(*.f64 #s(literal 1/10 binary64) y)
48.2%
(*.f64 #s(literal 1/10 binary64) x)
Compiler

Compiled 83 to 63 computations (24.1% saved)

simplify5.0ms (0.1%)

Algorithm
egg-herbie
Localize:

Found 7 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f64 y #s(literal 10 binary64))
cost-diff0
(/.f64 x #s(literal 10 binary64))
cost-diff0
(*.f64 #s(literal 1/10 binary64) y)
cost-diff0
(*.f64 #s(literal 1/10 binary64) x)
cost-diff0
(+.f64 x y)
cost-diff0
(/.f64 #s(literal 10 binary64) (+.f64 x y))
cost-diff128
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 10 binary64) (+.f64 x y)))
Rules
12×*-lowering-*.f32
12×*-lowering-*.f64
fma-lowering-fma.f32
fma-define
+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01237
12037
22337
32737
02737
Stop Event
iter limit
saturated
Calls
Call 1
Inputs
(/ 1 (/ 10 (+ x y)))
1
(/ 10 (+ x y))
10
(+ x y)
x
y
(* 1/10 x)
1/10
x
(* 1/10 y)
1/10
y
(/ x 10)
x
10
(/ y 10)
y
10
Outputs
(/ 1 (/ 10 (+ x y)))
(*.f64 (+.f64 x y) #s(literal 1/10 binary64))
1
#s(literal 1 binary64)
(/ 10 (+ x y))
(/.f64 #s(literal 10 binary64) (+.f64 x y))
10
#s(literal 10 binary64)
(+ x y)
(+.f64 x y)
x
y
(* 1/10 x)
(*.f64 x #s(literal 1/10 binary64))
1/10
#s(literal 1/10 binary64)
x
(* 1/10 y)
(*.f64 y #s(literal 1/10 binary64))
1/10
#s(literal 1/10 binary64)
y
(/ x 10)
(/.f64 x #s(literal 10 binary64))
x
10
#s(literal 10 binary64)
(/ y 10)
(/.f64 y #s(literal 10 binary64))
y
10
#s(literal 10 binary64)

localize91.0ms (2.1%)

Localize:

Found 7 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(/.f64 y #s(literal 10 binary64))
accuracy100.0%
(/.f64 x #s(literal 10 binary64))
accuracy99.3%
(*.f64 #s(literal 1/10 binary64) y)
accuracy99.5%
(*.f64 #s(literal 1/10 binary64) x)
accuracy100.0%
(+.f64 x y)
accuracy100.0%
(/.f64 #s(literal 10 binary64) (+.f64 x y))
accuracy99.7%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 10 binary64) (+.f64 x y)))
Results
77.0ms256×0valid
Compiler

Compiled 42 to 13 computations (69% saved)

Precisions
Click to see histograms. Total time spent on operations: 22.0ms
ival-div: 12.0ms (55.7% of total)
ival-mult: 4.0ms (18.6% of total)
...c/correct-round.rkt:119:19: 4.0ms (18.6% of total)
ival-add: 2.0ms (9.3% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

series5.0ms (0.1%)

Counts
7 → 120
Calls
Call 1
Inputs
#<alt (/ 1 (/ 10 (+ x y)))>
#<alt (/ 10 (+ x y))>
#<alt (+ x y)>
#<alt (* 1/10 x)>
#<alt (* 1/10 y)>
#<alt (/ x 10)>
#<alt (/ y 10)>
Outputs
#<alt (* 1/10 y)>
#<alt (+ (* 1/10 x) (* 1/10 y))>
#<alt (+ (* 1/10 x) (* 1/10 y))>
#<alt (+ (* 1/10 x) (* 1/10 y))>
#<alt (* 1/10 x)>
#<alt (* x (+ 1/10 (* 1/10 (/ y x))))>
#<alt (* x (+ 1/10 (* 1/10 (/ y x))))>
#<alt (* x (+ 1/10 (* 1/10 (/ y x))))>
#<alt (* 1/10 x)>
#<alt (* -1 (* x (- (* -1/10 (/ y x)) 1/10)))>
#<alt (* -1 (* x (- (* -1/10 (/ y x)) 1/10)))>
#<alt (* -1 (* x (- (* -1/10 (/ y x)) 1/10)))>
#<alt (* 1/10 x)>
#<alt (+ (* 1/10 x) (* 1/10 y))>
#<alt (+ (* 1/10 x) (* 1/10 y))>
#<alt (+ (* 1/10 x) (* 1/10 y))>
#<alt (* 1/10 y)>
#<alt (* y (+ 1/10 (* 1/10 (/ x y))))>
#<alt (* y (+ 1/10 (* 1/10 (/ x y))))>
#<alt (* y (+ 1/10 (* 1/10 (/ x y))))>
#<alt (* 1/10 y)>
#<alt (* -1 (* y (- (* -1/10 (/ x y)) 1/10)))>
#<alt (* -1 (* y (- (* -1/10 (/ x y)) 1/10)))>
#<alt (* -1 (* y (- (* -1/10 (/ x y)) 1/10)))>
#<alt (/ 10 y)>
#<alt (+ (* -10 (/ x (pow y 2))) (* 10 (/ 1 y)))>
#<alt (+ (* x (- (* 10 (/ x (pow y 3))) (* 10 (/ 1 (pow y 2))))) (* 10 (/ 1 y)))>
#<alt (+ (* x (- (* x (+ (* -10 (/ x (pow y 4))) (* 10 (/ 1 (pow y 3))))) (* 10 (/ 1 (pow y 2))))) (* 10 (/ 1 y)))>
#<alt (/ 10 x)>
#<alt (/ (+ 10 (* -10 (/ y x))) x)>
#<alt (/ (- (+ 10 (* 10 (/ (pow y 2) (pow x 2)))) (* 10 (/ y x))) x)>
#<alt (/ (- (+ 10 (* -10 (/ (pow y 3) (pow x 3)))) (+ (* -10 (/ (pow y 2) (pow x 2))) (* 10 (/ y x)))) x)>
#<alt (/ 10 x)>
#<alt (* -1 (/ (- (* 10 (/ y x)) 10) x))>
#<alt (* -1 (/ (- (* -1 (/ (- (* 10 (/ (pow y 2) x)) (* 10 y)) x)) 10) x))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 10 (/ (pow y 3) x)) (* 10 (pow y 2))) x)) (* 10 y)) x)) 10) x))>
#<alt (/ 10 x)>
#<alt (+ (* -10 (/ y (pow x 2))) (* 10 (/ 1 x)))>
#<alt (+ (* y (- (* 10 (/ y (pow x 3))) (* 10 (/ 1 (pow x 2))))) (* 10 (/ 1 x)))>
#<alt (+ (* y (- (* y (+ (* -10 (/ y (pow x 4))) (* 10 (/ 1 (pow x 3))))) (* 10 (/ 1 (pow x 2))))) (* 10 (/ 1 x)))>
#<alt (/ 10 y)>
#<alt (/ (+ 10 (* -10 (/ x y))) y)>
#<alt (/ (- (+ 10 (* 10 (/ (pow x 2) (pow y 2)))) (* 10 (/ x y))) y)>
#<alt (/ (- (+ 10 (* -10 (/ (pow x 3) (pow y 3)))) (+ (* -10 (/ (pow x 2) (pow y 2))) (* 10 (/ x y)))) y)>
#<alt (/ 10 y)>
#<alt (* -1 (/ (- (* 10 (/ x y)) 10) y))>
#<alt (* -1 (/ (- (* -1 (/ (- (* 10 (/ (pow x 2) y)) (* 10 x)) y)) 10) y))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 10 (/ (pow x 3) y)) (* 10 (pow x 2))) y)) (* 10 x)) y)) 10) y))>
#<alt y>
#<alt (+ x y)>
#<alt (+ x y)>
#<alt (+ x y)>
#<alt x>
#<alt (* x (+ 1 (/ y x)))>
#<alt (* x (+ 1 (/ y x)))>
#<alt (* x (+ 1 (/ y x)))>
#<alt x>
#<alt (* -1 (* x (- (* -1 (/ y x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ y x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ y x)) 1)))>
#<alt x>
#<alt (+ x y)>
#<alt (+ x y)>
#<alt (+ x y)>
#<alt y>
#<alt (* y (+ 1 (/ x y)))>
#<alt (* y (+ 1 (/ x y)))>
#<alt (* y (+ 1 (/ x y)))>
#<alt y>
#<alt (* -1 (* y (- (* -1 (/ x y)) 1)))>
#<alt (* -1 (* y (- (* -1 (/ x y)) 1)))>
#<alt (* -1 (* y (- (* -1 (/ x y)) 1)))>
#<alt (* 1/10 x)>
#<alt (* 1/10 x)>
#<alt (* 1/10 x)>
#<alt (* 1/10 x)>
#<alt (* 1/10 x)>
#<alt (* 1/10 x)>
#<alt (* 1/10 x)>
#<alt (* 1/10 x)>
#<alt (* 1/10 x)>
#<alt (* 1/10 x)>
#<alt (* 1/10 x)>
#<alt (* 1/10 x)>
#<alt (* 1/10 y)>
#<alt (* 1/10 y)>
#<alt (* 1/10 y)>
#<alt (* 1/10 y)>
#<alt (* 1/10 y)>
#<alt (* 1/10 y)>
#<alt (* 1/10 y)>
#<alt (* 1/10 y)>
#<alt (* 1/10 y)>
#<alt (* 1/10 y)>
#<alt (* 1/10 y)>
#<alt (* 1/10 y)>
#<alt (* 1/10 x)>
#<alt (* 1/10 x)>
#<alt (* 1/10 x)>
#<alt (* 1/10 x)>
#<alt (* 1/10 x)>
#<alt (* 1/10 x)>
#<alt (* 1/10 x)>
#<alt (* 1/10 x)>
#<alt (* 1/10 x)>
#<alt (* 1/10 x)>
#<alt (* 1/10 x)>
#<alt (* 1/10 x)>
#<alt (* 1/10 y)>
#<alt (* 1/10 y)>
#<alt (* 1/10 y)>
#<alt (* 1/10 y)>
#<alt (* 1/10 y)>
#<alt (* 1/10 y)>
#<alt (* 1/10 y)>
#<alt (* 1/10 y)>
#<alt (* 1/10 y)>
#<alt (* 1/10 y)>
#<alt (* 1/10 y)>
#<alt (* 1/10 y)>
Calls

30 calls:

TimeVariablePointExpression
1.0ms
x
@0
(* 1/10 x)
0.0ms
y
@inf
(/ 10 (+ x y))
0.0ms
x
@inf
(/ 10 (+ x y))
0.0ms
x
@0
(/ 10 (+ x y))
0.0ms
y
@0
(/ 10 (+ x y))

rewrite353.0ms (8.1%)

Algorithm
batch-egg-rewrite
Rules
3352×*-lowering-*.f32
3352×*-lowering-*.f64
2650×fma-lowering-fma.f32
2650×fma-lowering-fma.f64
1978×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01225
15725
231725
3296125
0930825
Stop Event
iter limit
node limit
Counts
7 → 604
Calls
Call 1
Inputs
(/ 1 (/ 10 (+ x y)))
(/ 10 (+ x y))
(+ x y)
(* 1/10 x)
(* 1/10 y)
(/ x 10)
(/ y 10)
Outputs
(+.f64 (/.f64 x #s(literal 10 binary64)) (/.f64 y #s(literal 10 binary64)))
(+.f64 (/.f64 y #s(literal 10 binary64)) (/.f64 x #s(literal 10 binary64)))
(+.f64 (fma.f64 #s(literal 1 binary64) (/.f64 x #s(literal 10 binary64)) (neg.f64 (*.f64 #s(literal -1/10 binary64) y))) (fma.f64 #s(literal 1/10 binary64) y (*.f64 #s(literal -1/10 binary64) y)))
(+.f64 (fma.f64 x #s(literal 1/10 binary64) (neg.f64 (*.f64 #s(literal -1/10 binary64) y))) (fma.f64 #s(literal 1/10 binary64) y (*.f64 #s(literal -1/10 binary64) y)))
(+.f64 (fma.f64 #s(literal 1/10 binary64) x (neg.f64 (*.f64 #s(literal -1/10 binary64) y))) (fma.f64 #s(literal 1/10 binary64) y (*.f64 #s(literal -1/10 binary64) y)))
(+.f64 (fma.f64 #s(literal 1/10 binary64) (pow.f64 x #s(literal 1 binary64)) (neg.f64 (*.f64 #s(literal -1/10 binary64) y))) (fma.f64 #s(literal 1/10 binary64) y (*.f64 #s(literal -1/10 binary64) y)))
(+.f64 (fma.f64 (/.f64 x #s(literal 10 binary64)) #s(literal 1 binary64) (neg.f64 (*.f64 #s(literal -1/10 binary64) y))) (fma.f64 #s(literal 1/10 binary64) y (*.f64 #s(literal -1/10 binary64) y)))
(+.f64 (fma.f64 #s(literal -1 binary64) (/.f64 x #s(literal -10 binary64)) (neg.f64 (*.f64 #s(literal -1/10 binary64) y))) (fma.f64 #s(literal 1/10 binary64) y (*.f64 #s(literal -1/10 binary64) y)))
(+.f64 (fma.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -1/10 binary64) (neg.f64 (*.f64 #s(literal -1/10 binary64) y))) (fma.f64 #s(literal 1/10 binary64) y (*.f64 #s(literal -1/10 binary64) y)))
(+.f64 (fma.f64 #s(literal -1/10 binary64) (-.f64 #s(literal 0 binary64) x) (neg.f64 (*.f64 #s(literal -1/10 binary64) y))) (fma.f64 #s(literal 1/10 binary64) y (*.f64 #s(literal -1/10 binary64) y)))
(+.f64 (fma.f64 (pow.f64 (/.f64 x #s(literal 10 binary64)) #s(literal 1/2 binary64)) (pow.f64 (/.f64 x #s(literal 10 binary64)) #s(literal 1/2 binary64)) (neg.f64 (*.f64 #s(literal -1/10 binary64) y))) (fma.f64 #s(literal 1/10 binary64) y (*.f64 #s(literal -1/10 binary64) y)))
(+.f64 (fma.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x)) #s(literal -1/10 binary64) (neg.f64 (*.f64 #s(literal -1/10 binary64) y))) (fma.f64 #s(literal 1/10 binary64) y (*.f64 #s(literal -1/10 binary64) y)))
(+.f64 (fma.f64 #s(literal 1 binary64) (/.f64 y #s(literal 10 binary64)) (neg.f64 (*.f64 #s(literal -1/10 binary64) x))) (fma.f64 #s(literal 1/10 binary64) x (*.f64 #s(literal -1/10 binary64) x)))
(+.f64 (fma.f64 y #s(literal 1/10 binary64) (neg.f64 (*.f64 #s(literal -1/10 binary64) x))) (fma.f64 #s(literal 1/10 binary64) x (*.f64 #s(literal -1/10 binary64) x)))
(+.f64 (fma.f64 #s(literal 1/10 binary64) y (neg.f64 (*.f64 #s(literal -1/10 binary64) x))) (fma.f64 #s(literal 1/10 binary64) x (*.f64 #s(literal -1/10 binary64) x)))
(+.f64 (fma.f64 #s(literal 1/10 binary64) (pow.f64 y #s(literal 1 binary64)) (neg.f64 (*.f64 #s(literal -1/10 binary64) x))) (fma.f64 #s(literal 1/10 binary64) x (*.f64 #s(literal -1/10 binary64) x)))
(+.f64 (fma.f64 (/.f64 y #s(literal 10 binary64)) #s(literal 1 binary64) (neg.f64 (*.f64 #s(literal -1/10 binary64) x))) (fma.f64 #s(literal 1/10 binary64) x (*.f64 #s(literal -1/10 binary64) x)))
(+.f64 (fma.f64 #s(literal -1 binary64) (/.f64 y #s(literal -10 binary64)) (neg.f64 (*.f64 #s(literal -1/10 binary64) x))) (fma.f64 #s(literal 1/10 binary64) x (*.f64 #s(literal -1/10 binary64) x)))
(+.f64 (fma.f64 (-.f64 #s(literal 0 binary64) y) #s(literal -1/10 binary64) (neg.f64 (*.f64 #s(literal -1/10 binary64) x))) (fma.f64 #s(literal 1/10 binary64) x (*.f64 #s(literal -1/10 binary64) x)))
(+.f64 (fma.f64 #s(literal -1/10 binary64) (-.f64 #s(literal 0 binary64) y) (neg.f64 (*.f64 #s(literal -1/10 binary64) x))) (fma.f64 #s(literal 1/10 binary64) x (*.f64 #s(literal -1/10 binary64) x)))
(+.f64 (fma.f64 (pow.f64 (/.f64 y #s(literal 10 binary64)) #s(literal 1/2 binary64)) (pow.f64 (/.f64 y #s(literal 10 binary64)) #s(literal 1/2 binary64)) (neg.f64 (*.f64 #s(literal -1/10 binary64) x))) (fma.f64 #s(literal 1/10 binary64) x (*.f64 #s(literal -1/10 binary64) x)))
(+.f64 (fma.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) y)) #s(literal -1/10 binary64) (neg.f64 (*.f64 #s(literal -1/10 binary64) x))) (fma.f64 #s(literal 1/10 binary64) x (*.f64 #s(literal -1/10 binary64) x)))
(exp.f64 (log.f64 (/.f64 (+.f64 x y) #s(literal 10 binary64))))
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 x y) #s(literal 10 binary64))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 #s(literal 10 binary64) (+.f64 x y)) #s(literal -1/2 binary64))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 #s(literal 10 binary64) (+.f64 x y)) (/.f64 #s(literal 10 binary64) (+.f64 x y)))) #s(literal -1/2 binary64)))
(-.f64 (/.f64 x #s(literal 10 binary64)) (/.f64 y #s(literal -10 binary64)))
(-.f64 (/.f64 x #s(literal 10 binary64)) (*.f64 #s(literal 1 binary64) (/.f64 y #s(literal -10 binary64))))
(-.f64 (/.f64 x #s(literal 10 binary64)) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 10 binary64) y)))
(-.f64 (/.f64 y #s(literal 10 binary64)) (/.f64 x #s(literal -10 binary64)))
(-.f64 (/.f64 y #s(literal 10 binary64)) (*.f64 #s(literal 1 binary64) (/.f64 x #s(literal -10 binary64))))
(-.f64 (/.f64 y #s(literal 10 binary64)) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 10 binary64) x)))
(-.f64 #s(literal 0 binary64) (/.f64 (+.f64 x y) #s(literal -10 binary64)))
(-.f64 (/.f64 (*.f64 x (/.f64 x (-.f64 x y))) #s(literal 10 binary64)) (/.f64 (/.f64 (*.f64 y y) (-.f64 x y)) #s(literal 10 binary64)))
(-.f64 (/.f64 (*.f64 x x) (*.f64 #s(literal 10 binary64) (-.f64 x y))) (/.f64 (*.f64 y y) (*.f64 #s(literal 10 binary64) (-.f64 x y))))
(fma.f64 #s(literal 1 binary64) (/.f64 x #s(literal 10 binary64)) (/.f64 y #s(literal 10 binary64)))
(fma.f64 #s(literal 1 binary64) (/.f64 y #s(literal 10 binary64)) (/.f64 x #s(literal 10 binary64)))
(fma.f64 x #s(literal 1/10 binary64) (/.f64 y #s(literal 10 binary64)))
(fma.f64 y #s(literal 1/10 binary64) (/.f64 x #s(literal 10 binary64)))
(fma.f64 #s(literal 1/10 binary64) x (/.f64 y #s(literal 10 binary64)))
(fma.f64 #s(literal 1/10 binary64) y (/.f64 x #s(literal 10 binary64)))
(fma.f64 #s(literal 1/10 binary64) (pow.f64 x #s(literal 1 binary64)) (/.f64 y #s(literal 10 binary64)))
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simplify472.0ms (10.8%)

Algorithm
egg-herbie
Rules
4186×*-lowering-*.f32
4186×*-lowering-*.f64
1516×/-lowering-/.f32
1516×/-lowering-/.f64
1216×--lowering--.f32
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
0173655
1573617
21534588
35288582
08388582
Stop Event
iter limit
node limit
Counts
120 → 120
Calls
Call 1
Inputs
(* 1/10 y)
(+ (* 1/10 x) (* 1/10 y))
(+ (* 1/10 x) (* 1/10 y))
(+ (* 1/10 x) (* 1/10 y))
(* 1/10 x)
(* x (+ 1/10 (* 1/10 (/ y x))))
(* x (+ 1/10 (* 1/10 (/ y x))))
(* x (+ 1/10 (* 1/10 (/ y x))))
(* 1/10 x)
(* -1 (* x (- (* -1/10 (/ y x)) 1/10)))
(* -1 (* x (- (* -1/10 (/ y x)) 1/10)))
(* -1 (* x (- (* -1/10 (/ y x)) 1/10)))
(* 1/10 x)
(+ (* 1/10 x) (* 1/10 y))
(+ (* 1/10 x) (* 1/10 y))
(+ (* 1/10 x) (* 1/10 y))
(* 1/10 y)
(* y (+ 1/10 (* 1/10 (/ x y))))
(* y (+ 1/10 (* 1/10 (/ x y))))
(* y (+ 1/10 (* 1/10 (/ x y))))
(* 1/10 y)
(* -1 (* y (- (* -1/10 (/ x y)) 1/10)))
(* -1 (* y (- (* -1/10 (/ x y)) 1/10)))
(* -1 (* y (- (* -1/10 (/ x y)) 1/10)))
(/ 10 y)
(+ (* -10 (/ x (pow y 2))) (* 10 (/ 1 y)))
(+ (* x (- (* 10 (/ x (pow y 3))) (* 10 (/ 1 (pow y 2))))) (* 10 (/ 1 y)))
(+ (* x (- (* x (+ (* -10 (/ x (pow y 4))) (* 10 (/ 1 (pow y 3))))) (* 10 (/ 1 (pow y 2))))) (* 10 (/ 1 y)))
(/ 10 x)
(/ (+ 10 (* -10 (/ y x))) x)
(/ (- (+ 10 (* 10 (/ (pow y 2) (pow x 2)))) (* 10 (/ y x))) x)
(/ (- (+ 10 (* -10 (/ (pow y 3) (pow x 3)))) (+ (* -10 (/ (pow y 2) (pow x 2))) (* 10 (/ y x)))) x)
(/ 10 x)
(* -1 (/ (- (* 10 (/ y x)) 10) x))
(* -1 (/ (- (* -1 (/ (- (* 10 (/ (pow y 2) x)) (* 10 y)) x)) 10) x))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 10 (/ (pow y 3) x)) (* 10 (pow y 2))) x)) (* 10 y)) x)) 10) x))
(/ 10 x)
(+ (* -10 (/ y (pow x 2))) (* 10 (/ 1 x)))
(+ (* y (- (* 10 (/ y (pow x 3))) (* 10 (/ 1 (pow x 2))))) (* 10 (/ 1 x)))
(+ (* y (- (* y (+ (* -10 (/ y (pow x 4))) (* 10 (/ 1 (pow x 3))))) (* 10 (/ 1 (pow x 2))))) (* 10 (/ 1 x)))
(/ 10 y)
(/ (+ 10 (* -10 (/ x y))) y)
(/ (- (+ 10 (* 10 (/ (pow x 2) (pow y 2)))) (* 10 (/ x y))) y)
(/ (- (+ 10 (* -10 (/ (pow x 3) (pow y 3)))) (+ (* -10 (/ (pow x 2) (pow y 2))) (* 10 (/ x y)))) y)
(/ 10 y)
(* -1 (/ (- (* 10 (/ x y)) 10) y))
(* -1 (/ (- (* -1 (/ (- (* 10 (/ (pow x 2) y)) (* 10 x)) y)) 10) y))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 10 (/ (pow x 3) y)) (* 10 (pow x 2))) y)) (* 10 x)) y)) 10) y))
y
(+ x y)
(+ x y)
(+ x y)
x
(* x (+ 1 (/ y x)))
(* x (+ 1 (/ y x)))
(* x (+ 1 (/ y x)))
x
(* -1 (* x (- (* -1 (/ y x)) 1)))
(* -1 (* x (- (* -1 (/ y x)) 1)))
(* -1 (* x (- (* -1 (/ y x)) 1)))
x
(+ x y)
(+ x y)
(+ x y)
y
(* y (+ 1 (/ x y)))
(* y (+ 1 (/ x y)))
(* y (+ 1 (/ x y)))
y
(* -1 (* y (- (* -1 (/ x y)) 1)))
(* -1 (* y (- (* -1 (/ x y)) 1)))
(* -1 (* y (- (* -1 (/ x y)) 1)))
(* 1/10 x)
(* 1/10 x)
(* 1/10 x)
(* 1/10 x)
(* 1/10 x)
(* 1/10 x)
(* 1/10 x)
(* 1/10 x)
(* 1/10 x)
(* 1/10 x)
(* 1/10 x)
(* 1/10 x)
(* 1/10 y)
(* 1/10 y)
(* 1/10 y)
(* 1/10 y)
(* 1/10 y)
(* 1/10 y)
(* 1/10 y)
(* 1/10 y)
(* 1/10 y)
(* 1/10 y)
(* 1/10 y)
(* 1/10 y)
(* 1/10 x)
(* 1/10 x)
(* 1/10 x)
(* 1/10 x)
(* 1/10 x)
(* 1/10 x)
(* 1/10 x)
(* 1/10 x)
(* 1/10 x)
(* 1/10 x)
(* 1/10 x)
(* 1/10 x)
(* 1/10 y)
(* 1/10 y)
(* 1/10 y)
(* 1/10 y)
(* 1/10 y)
(* 1/10 y)
(* 1/10 y)
(* 1/10 y)
(* 1/10 y)
(* 1/10 y)
(* 1/10 y)
(* 1/10 y)
Outputs
(* 1/10 y)
(*.f64 #s(literal 1/10 binary64) y)
(+ (* 1/10 x) (* 1/10 y))
(*.f64 #s(literal 1/10 binary64) (+.f64 y x))
(+ (* 1/10 x) (* 1/10 y))
(*.f64 #s(literal 1/10 binary64) (+.f64 y x))
(+ (* 1/10 x) (* 1/10 y))
(*.f64 #s(literal 1/10 binary64) (+.f64 y x))
(* 1/10 x)
(*.f64 #s(literal 1/10 binary64) x)
(* x (+ 1/10 (* 1/10 (/ y x))))
(*.f64 #s(literal 1/10 binary64) (+.f64 y x))
(* x (+ 1/10 (* 1/10 (/ y x))))
(*.f64 #s(literal 1/10 binary64) (+.f64 y x))
(* x (+ 1/10 (* 1/10 (/ y x))))
(*.f64 #s(literal 1/10 binary64) (+.f64 y x))
(* 1/10 x)
(*.f64 #s(literal 1/10 binary64) x)
(* -1 (* x (- (* -1/10 (/ y x)) 1/10)))
(*.f64 #s(literal 1/10 binary64) (+.f64 y x))
(* -1 (* x (- (* -1/10 (/ y x)) 1/10)))
(*.f64 #s(literal 1/10 binary64) (+.f64 y x))
(* -1 (* x (- (* -1/10 (/ y x)) 1/10)))
(*.f64 #s(literal 1/10 binary64) (+.f64 y x))
(* 1/10 x)
(*.f64 #s(literal 1/10 binary64) x)
(+ (* 1/10 x) (* 1/10 y))
(*.f64 #s(literal 1/10 binary64) (+.f64 y x))
(+ (* 1/10 x) (* 1/10 y))
(*.f64 #s(literal 1/10 binary64) (+.f64 y x))
(+ (* 1/10 x) (* 1/10 y))
(*.f64 #s(literal 1/10 binary64) (+.f64 y x))
(* 1/10 y)
(*.f64 #s(literal 1/10 binary64) y)
(* y (+ 1/10 (* 1/10 (/ x y))))
(*.f64 #s(literal 1/10 binary64) (+.f64 y x))
(* y (+ 1/10 (* 1/10 (/ x y))))
(*.f64 #s(literal 1/10 binary64) (+.f64 y x))
(* y (+ 1/10 (* 1/10 (/ x y))))
(*.f64 #s(literal 1/10 binary64) (+.f64 y x))
(* 1/10 y)
(*.f64 #s(literal 1/10 binary64) y)
(* -1 (* y (- (* -1/10 (/ x y)) 1/10)))
(*.f64 #s(literal 1/10 binary64) (+.f64 y x))
(* -1 (* y (- (* -1/10 (/ x y)) 1/10)))
(*.f64 #s(literal 1/10 binary64) (+.f64 y x))
(* -1 (* y (- (* -1/10 (/ x y)) 1/10)))
(*.f64 #s(literal 1/10 binary64) (+.f64 y x))
(/ 10 y)
(/.f64 #s(literal 10 binary64) y)
(+ (* -10 (/ x (pow y 2))) (* 10 (/ 1 y)))
(/.f64 (+.f64 #s(literal 10 binary64) (/.f64 (*.f64 x #s(literal -10 binary64)) y)) y)
(+ (* x (- (* 10 (/ x (pow y 3))) (* 10 (/ 1 (pow y 2))))) (* 10 (/ 1 y)))
(/.f64 (+.f64 #s(literal 10 binary64) (*.f64 #s(literal 10 binary64) (/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal -1 binary64))) y))) y)
(+ (* x (- (* x (+ (* -10 (/ x (pow y 4))) (* 10 (/ 1 (pow y 3))))) (* 10 (/ 1 (pow y 2))))) (* 10 (/ 1 y)))
(+.f64 (/.f64 #s(literal 10 binary64) y) (*.f64 x (+.f64 (*.f64 (/.f64 #s(literal 10 binary64) (*.f64 y y)) (+.f64 (/.f64 x y) #s(literal -1 binary64))) (*.f64 x (*.f64 #s(literal -10 binary64) (/.f64 x (pow.f64 y #s(literal 4 binary64))))))))
(/ 10 x)
(/.f64 #s(literal 10 binary64) x)
(/ (+ 10 (* -10 (/ y x))) x)
(/.f64 (+.f64 #s(literal 10 binary64) (*.f64 y (/.f64 #s(literal -10 binary64) x))) x)
(/ (- (+ 10 (* 10 (/ (pow y 2) (pow x 2)))) (* 10 (/ y x))) x)
(/.f64 (+.f64 #s(literal 10 binary64) (/.f64 (*.f64 #s(literal 10 binary64) (*.f64 y (+.f64 (/.f64 y x) #s(literal -1 binary64)))) x)) x)
(/ (- (+ 10 (* -10 (/ (pow y 3) (pow x 3)))) (+ (* -10 (/ (pow y 2) (pow x 2))) (* 10 (/ y x)))) x)
(/.f64 (+.f64 #s(literal 10 binary64) (/.f64 (*.f64 #s(literal -10 binary64) (+.f64 (/.f64 (*.f64 y (*.f64 y (+.f64 (/.f64 y x) #s(literal -1 binary64)))) x) y)) x)) x)
(/ 10 x)
(/.f64 #s(literal 10 binary64) x)
(* -1 (/ (- (* 10 (/ y x)) 10) x))
(/.f64 (+.f64 #s(literal 10 binary64) (*.f64 y (/.f64 #s(literal -10 binary64) x))) x)
(* -1 (/ (- (* -1 (/ (- (* 10 (/ (pow y 2) x)) (* 10 y)) x)) 10) x))
(/.f64 (+.f64 #s(literal 10 binary64) (/.f64 (*.f64 #s(literal 10 binary64) (*.f64 y (+.f64 (/.f64 y x) #s(literal -1 binary64)))) x)) x)
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 10 (/ (pow y 3) x)) (* 10 (pow y 2))) x)) (* 10 y)) x)) 10) x))
(/.f64 (+.f64 #s(literal 10 binary64) (/.f64 (*.f64 #s(literal -10 binary64) (+.f64 (/.f64 (*.f64 y (*.f64 y (+.f64 (/.f64 y x) #s(literal -1 binary64)))) x) y)) x)) x)
(/ 10 x)
(/.f64 #s(literal 10 binary64) x)
(+ (* -10 (/ y (pow x 2))) (* 10 (/ 1 x)))
(/.f64 (+.f64 #s(literal 10 binary64) (*.f64 y (/.f64 #s(literal -10 binary64) x))) x)
(+ (* y (- (* 10 (/ y (pow x 3))) (* 10 (/ 1 (pow x 2))))) (* 10 (/ 1 x)))
(/.f64 (+.f64 #s(literal 10 binary64) (/.f64 (*.f64 #s(literal 10 binary64) (*.f64 y (+.f64 (/.f64 y x) #s(literal -1 binary64)))) x)) x)
(+ (* y (- (* y (+ (* -10 (/ y (pow x 4))) (* 10 (/ 1 (pow x 3))))) (* 10 (/ 1 (pow x 2))))) (* 10 (/ 1 x)))
(+.f64 (/.f64 #s(literal 10 binary64) x) (*.f64 y (+.f64 (*.f64 (/.f64 #s(literal 10 binary64) (*.f64 x x)) (+.f64 (/.f64 y x) #s(literal -1 binary64))) (/.f64 (*.f64 #s(literal -10 binary64) (*.f64 y y)) (pow.f64 x #s(literal 4 binary64))))))
(/ 10 y)
(/.f64 #s(literal 10 binary64) y)
(/ (+ 10 (* -10 (/ x y))) y)
(/.f64 (+.f64 #s(literal 10 binary64) (/.f64 (*.f64 x #s(literal -10 binary64)) y)) y)
(/ (- (+ 10 (* 10 (/ (pow x 2) (pow y 2)))) (* 10 (/ x y))) y)
(/.f64 (+.f64 #s(literal 10 binary64) (*.f64 #s(literal 10 binary64) (/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal -1 binary64))) y))) y)
(/ (- (+ 10 (* -10 (/ (pow x 3) (pow y 3)))) (+ (* -10 (/ (pow x 2) (pow y 2))) (* 10 (/ x y)))) y)
(/.f64 (+.f64 #s(literal 10 binary64) (/.f64 (*.f64 #s(literal -10 binary64) (+.f64 (/.f64 (*.f64 x (*.f64 x (+.f64 (/.f64 x y) #s(literal -1 binary64)))) y) x)) y)) y)
(/ 10 y)
(/.f64 #s(literal 10 binary64) y)
(* -1 (/ (- (* 10 (/ x y)) 10) y))
(/.f64 (+.f64 #s(literal 10 binary64) (/.f64 (*.f64 x #s(literal -10 binary64)) y)) y)
(* -1 (/ (- (* -1 (/ (- (* 10 (/ (pow x 2) y)) (* 10 x)) y)) 10) y))
(/.f64 (+.f64 #s(literal 10 binary64) (*.f64 #s(literal 10 binary64) (/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal -1 binary64))) y))) y)
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 10 (/ (pow x 3) y)) (* 10 (pow x 2))) y)) (* 10 x)) y)) 10) y))
(/.f64 (+.f64 #s(literal 10 binary64) (/.f64 (*.f64 #s(literal -10 binary64) (+.f64 (/.f64 (*.f64 x (*.f64 x (+.f64 (/.f64 x y) #s(literal -1 binary64)))) y) x)) y)) y)
y
(+ x y)
(+.f64 y x)
(+ x y)
(+.f64 y x)
(+ x y)
(+.f64 y x)
x
(* x (+ 1 (/ y x)))
(+.f64 y x)
(* x (+ 1 (/ y x)))
(+.f64 y x)
(* x (+ 1 (/ y x)))
(+.f64 y x)
x
(* -1 (* x (- (* -1 (/ y x)) 1)))
(+.f64 y x)
(* -1 (* x (- (* -1 (/ y x)) 1)))
(+.f64 y x)
(* -1 (* x (- (* -1 (/ y x)) 1)))
(+.f64 y x)
x
(+ x y)
(+.f64 y x)
(+ x y)
(+.f64 y x)
(+ x y)
(+.f64 y x)
y
(* y (+ 1 (/ x y)))
(+.f64 y x)
(* y (+ 1 (/ x y)))
(+.f64 y x)
(* y (+ 1 (/ x y)))
(+.f64 y x)
y
(* -1 (* y (- (* -1 (/ x y)) 1)))
(+.f64 y x)
(* -1 (* y (- (* -1 (/ x y)) 1)))
(+.f64 y x)
(* -1 (* y (- (* -1 (/ x y)) 1)))
(+.f64 y x)
(* 1/10 x)
(*.f64 #s(literal 1/10 binary64) x)
(* 1/10 x)
(*.f64 #s(literal 1/10 binary64) x)
(* 1/10 x)
(*.f64 #s(literal 1/10 binary64) x)
(* 1/10 x)
(*.f64 #s(literal 1/10 binary64) x)
(* 1/10 x)
(*.f64 #s(literal 1/10 binary64) x)
(* 1/10 x)
(*.f64 #s(literal 1/10 binary64) x)
(* 1/10 x)
(*.f64 #s(literal 1/10 binary64) x)
(* 1/10 x)
(*.f64 #s(literal 1/10 binary64) x)
(* 1/10 x)
(*.f64 #s(literal 1/10 binary64) x)
(* 1/10 x)
(*.f64 #s(literal 1/10 binary64) x)
(* 1/10 x)
(*.f64 #s(literal 1/10 binary64) x)
(* 1/10 x)
(*.f64 #s(literal 1/10 binary64) x)
(* 1/10 y)
(*.f64 #s(literal 1/10 binary64) y)
(* 1/10 y)
(*.f64 #s(literal 1/10 binary64) y)
(* 1/10 y)
(*.f64 #s(literal 1/10 binary64) y)
(* 1/10 y)
(*.f64 #s(literal 1/10 binary64) y)
(* 1/10 y)
(*.f64 #s(literal 1/10 binary64) y)
(* 1/10 y)
(*.f64 #s(literal 1/10 binary64) y)
(* 1/10 y)
(*.f64 #s(literal 1/10 binary64) y)
(* 1/10 y)
(*.f64 #s(literal 1/10 binary64) y)
(* 1/10 y)
(*.f64 #s(literal 1/10 binary64) y)
(* 1/10 y)
(*.f64 #s(literal 1/10 binary64) y)
(* 1/10 y)
(*.f64 #s(literal 1/10 binary64) y)
(* 1/10 y)
(*.f64 #s(literal 1/10 binary64) y)
(* 1/10 x)
(*.f64 #s(literal 1/10 binary64) x)
(* 1/10 x)
(*.f64 #s(literal 1/10 binary64) x)
(* 1/10 x)
(*.f64 #s(literal 1/10 binary64) x)
(* 1/10 x)
(*.f64 #s(literal 1/10 binary64) x)
(* 1/10 x)
(*.f64 #s(literal 1/10 binary64) x)
(* 1/10 x)
(*.f64 #s(literal 1/10 binary64) x)
(* 1/10 x)
(*.f64 #s(literal 1/10 binary64) x)
(* 1/10 x)
(*.f64 #s(literal 1/10 binary64) x)
(* 1/10 x)
(*.f64 #s(literal 1/10 binary64) x)
(* 1/10 x)
(*.f64 #s(literal 1/10 binary64) x)
(* 1/10 x)
(*.f64 #s(literal 1/10 binary64) x)
(* 1/10 x)
(*.f64 #s(literal 1/10 binary64) x)
(* 1/10 y)
(*.f64 #s(literal 1/10 binary64) y)
(* 1/10 y)
(*.f64 #s(literal 1/10 binary64) y)
(* 1/10 y)
(*.f64 #s(literal 1/10 binary64) y)
(* 1/10 y)
(*.f64 #s(literal 1/10 binary64) y)
(* 1/10 y)
(*.f64 #s(literal 1/10 binary64) y)
(* 1/10 y)
(*.f64 #s(literal 1/10 binary64) y)
(* 1/10 y)
(*.f64 #s(literal 1/10 binary64) y)
(* 1/10 y)
(*.f64 #s(literal 1/10 binary64) y)
(* 1/10 y)
(*.f64 #s(literal 1/10 binary64) y)
(* 1/10 y)
(*.f64 #s(literal 1/10 binary64) y)
(* 1/10 y)
(*.f64 #s(literal 1/10 binary64) y)
(* 1/10 y)
(*.f64 #s(literal 1/10 binary64) y)

eval95.0ms (2.2%)

Compiler

Compiled 12622 to 1646 computations (87% saved)

prune74.0ms (1.7%)

Pruning

6 alts after pruning (1 fresh and 5 done)

PrunedKeptTotal
New7231724
Fresh101
Picked145
Done011
Total7256731
Accuracy
100.0%
Counts
731 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(/.f64 (+.f64 x y) #s(literal 10 binary64))
52.4%
(/.f64 y #s(literal 10 binary64))
48.4%
(/.f64 x #s(literal 10 binary64))
100.0%
(-.f64 (/.f64 y #s(literal 10 binary64)) (/.f64 x #s(literal -10 binary64)))
52.1%
(*.f64 #s(literal 1/10 binary64) y)
48.2%
(*.f64 #s(literal 1/10 binary64) x)
Compiler

Compiled 36 to 28 computations (22.2% saved)

simplify40.0ms (0.9%)

Algorithm
egg-herbie
Localize:

Found 3 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f64 x #s(literal -10 binary64))
cost-diff0
(/.f64 y #s(literal 10 binary64))
cost-diff128
(-.f64 (/.f64 y #s(literal 10 binary64)) (/.f64 x #s(literal -10 binary64)))
Rules
362×fnmadd-define
266×fnmsub-define
266×fmsub-define
240×fma-lowering-fma.f32
240×fma-lowering-fma.f64
Iterations

Useful iterations: 8 (0.0ms)

IterNodesCost
0717
1917
21817
32717
44117
58116
615616
727016
838115
964315
1094615
11114215
12119615
0119615
Stop Event
iter limit
saturated
Calls
Call 1
Inputs
(- (/ y 10) (/ x -10))
(/ y 10)
y
10
(/ x -10)
x
-10
Outputs
(- (/ y 10) (/ x -10))
(*.f64 #s(literal 1/10 binary64) (+.f64 y x))
(/ y 10)
(/.f64 y #s(literal 10 binary64))
y
10
#s(literal 10 binary64)
(/ x -10)
(/.f64 x #s(literal -10 binary64))
x
-10
#s(literal -10 binary64)

localize26.0ms (0.6%)

Localize:

Found 3 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(/.f64 y #s(literal 10 binary64))
accuracy100.0%
(/.f64 x #s(literal -10 binary64))
accuracy100.0%
(-.f64 (/.f64 y #s(literal 10 binary64)) (/.f64 x #s(literal -10 binary64)))
Results
19.0ms256×0valid
Compiler

Compiled 20 to 8 computations (60% saved)

Precisions
Click to see histograms. Total time spent on operations: 9.0ms
ival-div: 7.0ms (81.8% of total)
ival-sub: 1.0ms (11.7% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

series2.0ms (0%)

Counts
3 → 48
Calls
Call 1
Inputs
#<alt (- (/ y 10) (/ x -10))>
#<alt (/ y 10)>
#<alt (/ x -10)>
Outputs
#<alt (* 1/10 x)>
#<alt (- (* 1/10 y) (* -1/10 x))>
#<alt (- (* 1/10 y) (* -1/10 x))>
#<alt (- (* 1/10 y) (* -1/10 x))>
#<alt (* 1/10 y)>
#<alt (* y (+ 1/10 (* 1/10 (/ x y))))>
#<alt (* y (+ 1/10 (* 1/10 (/ x y))))>
#<alt (* y (+ 1/10 (* 1/10 (/ x y))))>
#<alt (* 1/10 y)>
#<alt (* -1 (* y (- (* -1/10 (/ x y)) 1/10)))>
#<alt (* -1 (* y (- (* -1/10 (/ x y)) 1/10)))>
#<alt (* -1 (* y (- (* -1/10 (/ x y)) 1/10)))>
#<alt (* 1/10 y)>
#<alt (+ (* 1/10 x) (* 1/10 y))>
#<alt (+ (* 1/10 x) (* 1/10 y))>
#<alt (+ (* 1/10 x) (* 1/10 y))>
#<alt (* 1/10 x)>
#<alt (* x (+ 1/10 (* 1/10 (/ y x))))>
#<alt (* x (+ 1/10 (* 1/10 (/ y x))))>
#<alt (* x (+ 1/10 (* 1/10 (/ y x))))>
#<alt (* 1/10 x)>
#<alt (* -1 (* x (- (* -1/10 (/ y x)) 1/10)))>
#<alt (* -1 (* x (- (* -1/10 (/ y x)) 1/10)))>
#<alt (* -1 (* x (- (* -1/10 (/ y x)) 1/10)))>
#<alt (* 1/10 y)>
#<alt (* 1/10 y)>
#<alt (* 1/10 y)>
#<alt (* 1/10 y)>
#<alt (* 1/10 y)>
#<alt (* 1/10 y)>
#<alt (* 1/10 y)>
#<alt (* 1/10 y)>
#<alt (* 1/10 y)>
#<alt (* 1/10 y)>
#<alt (* 1/10 y)>
#<alt (* 1/10 y)>
#<alt (* -1/10 x)>
#<alt (* -1/10 x)>
#<alt (* -1/10 x)>
#<alt (* -1/10 x)>
#<alt (* -1/10 x)>
#<alt (* -1/10 x)>
#<alt (* -1/10 x)>
#<alt (* -1/10 x)>
#<alt (* -1/10 x)>
#<alt (* -1/10 x)>
#<alt (* -1/10 x)>
#<alt (* -1/10 x)>
Calls

12 calls:

TimeVariablePointExpression
0.0ms
x
@0
(- (/ y 10) (/ x -10))
0.0ms
y
@0
(- (/ y 10) (/ x -10))
0.0ms
y
@inf
(- (/ y 10) (/ x -10))
0.0ms
x
@inf
(- (/ y 10) (/ x -10))
0.0ms
x
@0
(/ x -10)

rewrite217.0ms (5%)

Algorithm
batch-egg-rewrite
Rules
3496×*-lowering-*.f32
3496×*-lowering-*.f64
3252×/-lowering-/.f32
3252×/-lowering-/.f64
1682×frac-add
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0713
14512
245011
0898511
Stop Event
iter limit
node limit
Counts
3 → 223
Calls
Call 1
Inputs
(- (/ y 10) (/ x -10))
(/ y 10)
(/ x -10)
Outputs
(+.f64 (/.f64 y #s(literal 10 binary64)) (/.f64 x #s(literal 10 binary64)))
(+.f64 (/.f64 y #s(literal 10 binary64)) (+.f64 (/.f64 x #s(literal 10 binary64)) (+.f64 (/.f64 x #s(literal 10 binary64)) (/.f64 x #s(literal -10 binary64)))))
(+.f64 (/.f64 (+.f64 y x) #s(literal 10 binary64)) (+.f64 (/.f64 x #s(literal 10 binary64)) (/.f64 x #s(literal -10 binary64))))
(+.f64 (/.f64 (+.f64 y x) #s(literal 10 binary64)) (fma.f64 #s(literal -1/10 binary64) (-.f64 #s(literal 0 binary64) x) (/.f64 x #s(literal -10 binary64))))
(+.f64 (/.f64 (+.f64 y x) #s(literal 10 binary64)) (fma.f64 (/.f64 x #s(literal 10 binary64)) #s(literal 1 binary64) (/.f64 x #s(literal -10 binary64))))
(+.f64 (/.f64 (+.f64 y x) #s(literal 10 binary64)) (fma.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -1/10 binary64) (/.f64 x #s(literal -10 binary64))))
(+.f64 (/.f64 (+.f64 y x) #s(literal 10 binary64)) (+.f64 (+.f64 (/.f64 x #s(literal 10 binary64)) (/.f64 x #s(literal -10 binary64))) (+.f64 (/.f64 x #s(literal 10 binary64)) (/.f64 x #s(literal -10 binary64)))))
(+.f64 (/.f64 x #s(literal 10 binary64)) (/.f64 y #s(literal 10 binary64)))
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(*.f64 (/.f64 (/.f64 (-.f64 (*.f64 y y) (*.f64 x x)) #s(literal 100 binary64)) (+.f64 (*.f64 (-.f64 #s(literal 0 binary64) y) #s(literal 10 binary64)) (*.f64 #s(literal 10 binary64) x))) #s(literal -100 binary64))
(*.f64 (/.f64 (/.f64 (-.f64 (*.f64 y y) (*.f64 x x)) #s(literal 100 binary64)) (+.f64 (/.f64 (*.f64 (-.f64 #s(literal 0 binary64) y) #s(literal -10 binary64)) x) #s(literal -10 binary64))) (/.f64 #s(literal 100 binary64) x))
(*.f64 (/.f64 (/.f64 (-.f64 (*.f64 y y) (*.f64 x x)) #s(literal 100 binary64)) (+.f64 #s(literal -10 binary64) (/.f64 x (/.f64 y #s(literal 10 binary64))))) (/.f64 #s(literal -100 binary64) y))
(*.f64 (/.f64 (/.f64 (-.f64 (*.f64 y y) (*.f64 x x)) #s(literal 100 binary64)) (+.f64 #s(literal 10 binary64) (/.f64 (*.f64 x #s(literal -10 binary64)) y))) (/.f64 #s(literal 100 binary64) y))
(*.f64 (/.f64 (/.f64 (-.f64 (*.f64 y y) (*.f64 x x)) #s(literal 100 binary64)) (+.f64 (/.f64 #s(literal -10 binary64) x) (/.f64 #s(literal 10 binary64) y))) (/.f64 (/.f64 #s(literal -100 binary64) x) y))
(*.f64 (/.f64 (/.f64 (-.f64 (*.f64 y y) (*.f64 x x)) #s(literal 100 binary64)) (+.f64 (/.f64 (*.f64 y (*.f64 y y)) #s(literal 1000 binary64)) (/.f64 (*.f64 x (*.f64 x x)) #s(literal -1000 binary64)))) (+.f64 (/.f64 y (/.f64 #s(literal 100 binary64) y)) (/.f64 (-.f64 (-.f64 #s(literal 0 binary64) x) y) (/.f64 #s(literal -100 binary64) x))))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 10 binary64) y)) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 y #s(literal -10 binary64)))
(neg.f64 (/.f64 y #s(literal -10 binary64)))
(neg.f64 (*.f64 (/.f64 y #s(literal -10 binary64)) #s(literal 1 binary64)))
(neg.f64 (*.f64 #s(literal 1 binary64) (/.f64 y #s(literal -10 binary64))))
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 10 binary64) y)))
(/.f64 y #s(literal 10 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) y) #s(literal -10 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 10 binary64) y))
(/.f64 #s(literal 1/10 binary64) (/.f64 #s(literal 1 binary64) y))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -10 binary64) y))
(pow.f64 (/.f64 #s(literal 10 binary64) y) #s(literal -1 binary64))
(*.f64 y #s(literal 1/10 binary64))
(*.f64 (/.f64 y #s(literal 10 binary64)) #s(literal 1 binary64))
(*.f64 (-.f64 #s(literal 0 binary64) y) #s(literal -1/10 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 y #s(literal 10 binary64)))
(*.f64 #s(literal -1/10 binary64) (-.f64 #s(literal 0 binary64) y))
(*.f64 #s(literal 1/10 binary64) y)
(*.f64 #s(literal 1/10 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)))
(*.f64 #s(literal -1 binary64) (/.f64 y #s(literal -10 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal 10 binary64) y) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 10 binary64) y) #s(literal -1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal -10 binary64) x)) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 x #s(literal 10 binary64)))
(neg.f64 (/.f64 x #s(literal 10 binary64)))
(neg.f64 (*.f64 (/.f64 x #s(literal 10 binary64)) #s(literal 1 binary64)))
(/.f64 x #s(literal -10 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 10 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -10 binary64) x))
(/.f64 #s(literal -1/10 binary64) (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal 10 binary64) x))
(pow.f64 (/.f64 #s(literal -10 binary64) x) #s(literal -1 binary64))
(*.f64 x #s(literal -1/10 binary64))
(*.f64 (/.f64 x #s(literal -10 binary64)) #s(literal 1 binary64))
(*.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 1/10 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 x #s(literal -10 binary64)))
(*.f64 #s(literal -1/10 binary64) x)
(*.f64 #s(literal -1/10 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))
(*.f64 #s(literal 1/10 binary64) (-.f64 #s(literal 0 binary64) x))
(*.f64 #s(literal -1 binary64) (/.f64 x #s(literal 10 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal -10 binary64) x) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal -10 binary64) x) #s(literal -1/2 binary64)))

simplify235.0ms (5.4%)

Algorithm
egg-herbie
Rules
2198×*-lowering-*.f32
2198×*-lowering-*.f64
1670×/-lowering-/.f32
1670×/-lowering-/.f64
1518×fnmadd-define
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
026180
178180
2192180
3451180
41083180
52780180
08176180
Stop Event
iter limit
node limit
Counts
48 → 48
Calls
Call 1
Inputs
(* 1/10 x)
(- (* 1/10 y) (* -1/10 x))
(- (* 1/10 y) (* -1/10 x))
(- (* 1/10 y) (* -1/10 x))
(* 1/10 y)
(* y (+ 1/10 (* 1/10 (/ x y))))
(* y (+ 1/10 (* 1/10 (/ x y))))
(* y (+ 1/10 (* 1/10 (/ x y))))
(* 1/10 y)
(* -1 (* y (- (* -1/10 (/ x y)) 1/10)))
(* -1 (* y (- (* -1/10 (/ x y)) 1/10)))
(* -1 (* y (- (* -1/10 (/ x y)) 1/10)))
(* 1/10 y)
(+ (* 1/10 x) (* 1/10 y))
(+ (* 1/10 x) (* 1/10 y))
(+ (* 1/10 x) (* 1/10 y))
(* 1/10 x)
(* x (+ 1/10 (* 1/10 (/ y x))))
(* x (+ 1/10 (* 1/10 (/ y x))))
(* x (+ 1/10 (* 1/10 (/ y x))))
(* 1/10 x)
(* -1 (* x (- (* -1/10 (/ y x)) 1/10)))
(* -1 (* x (- (* -1/10 (/ y x)) 1/10)))
(* -1 (* x (- (* -1/10 (/ y x)) 1/10)))
(* 1/10 y)
(* 1/10 y)
(* 1/10 y)
(* 1/10 y)
(* 1/10 y)
(* 1/10 y)
(* 1/10 y)
(* 1/10 y)
(* 1/10 y)
(* 1/10 y)
(* 1/10 y)
(* 1/10 y)
(* -1/10 x)
(* -1/10 x)
(* -1/10 x)
(* -1/10 x)
(* -1/10 x)
(* -1/10 x)
(* -1/10 x)
(* -1/10 x)
(* -1/10 x)
(* -1/10 x)
(* -1/10 x)
(* -1/10 x)
Outputs
(* 1/10 x)
(*.f64 #s(literal 1/10 binary64) x)
(- (* 1/10 y) (* -1/10 x))
(*.f64 #s(literal 1/10 binary64) (+.f64 x y))
(- (* 1/10 y) (* -1/10 x))
(*.f64 #s(literal 1/10 binary64) (+.f64 x y))
(- (* 1/10 y) (* -1/10 x))
(*.f64 #s(literal 1/10 binary64) (+.f64 x y))
(* 1/10 y)
(*.f64 #s(literal 1/10 binary64) y)
(* y (+ 1/10 (* 1/10 (/ x y))))
(*.f64 #s(literal 1/10 binary64) (+.f64 x y))
(* y (+ 1/10 (* 1/10 (/ x y))))
(*.f64 #s(literal 1/10 binary64) (+.f64 x y))
(* y (+ 1/10 (* 1/10 (/ x y))))
(*.f64 #s(literal 1/10 binary64) (+.f64 x y))
(* 1/10 y)
(*.f64 #s(literal 1/10 binary64) y)
(* -1 (* y (- (* -1/10 (/ x y)) 1/10)))
(*.f64 #s(literal 1/10 binary64) (+.f64 x y))
(* -1 (* y (- (* -1/10 (/ x y)) 1/10)))
(*.f64 #s(literal 1/10 binary64) (+.f64 x y))
(* -1 (* y (- (* -1/10 (/ x y)) 1/10)))
(*.f64 #s(literal 1/10 binary64) (+.f64 x y))
(* 1/10 y)
(*.f64 #s(literal 1/10 binary64) y)
(+ (* 1/10 x) (* 1/10 y))
(*.f64 #s(literal 1/10 binary64) (+.f64 x y))
(+ (* 1/10 x) (* 1/10 y))
(*.f64 #s(literal 1/10 binary64) (+.f64 x y))
(+ (* 1/10 x) (* 1/10 y))
(*.f64 #s(literal 1/10 binary64) (+.f64 x y))
(* 1/10 x)
(*.f64 #s(literal 1/10 binary64) x)
(* x (+ 1/10 (* 1/10 (/ y x))))
(*.f64 #s(literal 1/10 binary64) (+.f64 x y))
(* x (+ 1/10 (* 1/10 (/ y x))))
(*.f64 #s(literal 1/10 binary64) (+.f64 x y))
(* x (+ 1/10 (* 1/10 (/ y x))))
(*.f64 #s(literal 1/10 binary64) (+.f64 x y))
(* 1/10 x)
(*.f64 #s(literal 1/10 binary64) x)
(* -1 (* x (- (* -1/10 (/ y x)) 1/10)))
(*.f64 #s(literal 1/10 binary64) (+.f64 x y))
(* -1 (* x (- (* -1/10 (/ y x)) 1/10)))
(*.f64 #s(literal 1/10 binary64) (+.f64 x y))
(* -1 (* x (- (* -1/10 (/ y x)) 1/10)))
(*.f64 #s(literal 1/10 binary64) (+.f64 x y))
(* 1/10 y)
(*.f64 #s(literal 1/10 binary64) y)
(* 1/10 y)
(*.f64 #s(literal 1/10 binary64) y)
(* 1/10 y)
(*.f64 #s(literal 1/10 binary64) y)
(* 1/10 y)
(*.f64 #s(literal 1/10 binary64) y)
(* 1/10 y)
(*.f64 #s(literal 1/10 binary64) y)
(* 1/10 y)
(*.f64 #s(literal 1/10 binary64) y)
(* 1/10 y)
(*.f64 #s(literal 1/10 binary64) y)
(* 1/10 y)
(*.f64 #s(literal 1/10 binary64) y)
(* 1/10 y)
(*.f64 #s(literal 1/10 binary64) y)
(* 1/10 y)
(*.f64 #s(literal 1/10 binary64) y)
(* 1/10 y)
(*.f64 #s(literal 1/10 binary64) y)
(* 1/10 y)
(*.f64 #s(literal 1/10 binary64) y)
(* -1/10 x)
(*.f64 x #s(literal -1/10 binary64))
(* -1/10 x)
(*.f64 x #s(literal -1/10 binary64))
(* -1/10 x)
(*.f64 x #s(literal -1/10 binary64))
(* -1/10 x)
(*.f64 x #s(literal -1/10 binary64))
(* -1/10 x)
(*.f64 x #s(literal -1/10 binary64))
(* -1/10 x)
(*.f64 x #s(literal -1/10 binary64))
(* -1/10 x)
(*.f64 x #s(literal -1/10 binary64))
(* -1/10 x)
(*.f64 x #s(literal -1/10 binary64))
(* -1/10 x)
(*.f64 x #s(literal -1/10 binary64))
(* -1/10 x)
(*.f64 x #s(literal -1/10 binary64))
(* -1/10 x)
(*.f64 x #s(literal -1/10 binary64))
(* -1/10 x)
(*.f64 x #s(literal -1/10 binary64))

eval43.0ms (1%)

Compiler

Compiled 4510 to 639 computations (85.8% saved)

prune30.0ms (0.7%)

Pruning

6 alts after pruning (0 fresh and 6 done)

PrunedKeptTotal
New2710271
Fresh000
Picked011
Done055
Total2716277
Accuracy
100.0%
Counts
277 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(/.f64 (+.f64 x y) #s(literal 10 binary64))
52.4%
(/.f64 y #s(literal 10 binary64))
48.4%
(/.f64 x #s(literal 10 binary64))
100.0%
(-.f64 (/.f64 y #s(literal 10 binary64)) (/.f64 x #s(literal -10 binary64)))
52.1%
(*.f64 #s(literal 1/10 binary64) y)
48.2%
(*.f64 #s(literal 1/10 binary64) x)
Compiler

Compiled 76 to 47 computations (38.2% saved)

regimes13.0ms (0.3%)

Counts
8 → 1
Calls
Call 1
Inputs
(*.f64 #s(literal 1/10 binary64) x)
(*.f64 #s(literal 1/10 binary64) y)
(/.f64 x #s(literal 10 binary64))
(/.f64 y #s(literal 10 binary64))
(/.f64 (+.f64 x y) #s(literal 10 binary64))
(+.f64 (*.f64 y #s(literal 1/10 binary64)) (*.f64 x #s(literal 1/10 binary64)))
(-.f64 (/.f64 y #s(literal 10 binary64)) (/.f64 x #s(literal -10 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 10 binary64) (+.f64 x y)))
Outputs
(/.f64 (+.f64 x y) #s(literal 10 binary64))
Calls

4 calls:

3.0ms
(+.f64 x y)
3.0ms
(/.f64 (+.f64 x y) #s(literal 10 binary64))
3.0ms
x
3.0ms
y
Results
AccuracySegmentsBranch
100.0%1x
100.0%1y
100.0%1(/.f64 (+.f64 x y) #s(literal 10 binary64))
100.0%1(+.f64 x y)
Compiler

Compiled 18 to 12 computations (33.3% saved)

regimes7.0ms (0.2%)

Counts
4 → 2
Calls
Call 1
Inputs
(*.f64 #s(literal 1/10 binary64) x)
(*.f64 #s(literal 1/10 binary64) y)
(/.f64 x #s(literal 10 binary64))
(/.f64 y #s(literal 10 binary64))
Outputs
(/.f64 x #s(literal 10 binary64))
(/.f64 y #s(literal 10 binary64))
Calls

2 calls:

4.0ms
y
2.0ms
x
Results
AccuracySegmentsBranch
83.8%2x
85.7%2y
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes2.0ms (0%)

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

1 calls:

2.0ms
y
Results
AccuracySegmentsBranch
85.4%2y
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes2.0ms (0%)

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

1 calls:

2.0ms
y
Results
AccuracySegmentsBranch
85.2%2y
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes3.0ms (0.1%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

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

2 calls:

1.0ms
x
1.0ms
y
Results
AccuracySegmentsBranch
48.2%1x
48.2%1y
Compiler

Compiled 6 to 4 computations (33.3% saved)

bsearch8.0ms (0.2%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
7.0ms
1.0898326776857246e-126
1.684703014952655e-125
Results
4.0ms96×0valid
Compiler

Compiled 84 to 69 computations (17.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 1.0ms
ival-div: 1.0ms (69.4% of total)
ival-add: 1.0ms (69.4% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch9.0ms (0.2%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
8.0ms
1.0898326776857246e-126
1.684703014952655e-125
Results
5.0ms96×0valid
Compiler

Compiled 84 to 69 computations (17.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 2.0ms
ival-add: 2.0ms (82.6% of total)
ival-div: 1.0ms (41.3% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch7.0ms (0.2%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
7.0ms
1.0898326776857246e-126
1.684703014952655e-125
Results
4.0ms96×0valid
Compiler

Compiled 84 to 69 computations (17.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 1.0ms
ival-div: 1.0ms (70.7% of total)
ival-add: 1.0ms (70.7% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

simplify7.0ms (0.2%)

Algorithm
egg-herbie
Rules
*-commutative_binary64
+-commutative_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01538
11838
Stop Event
saturated
Calls
Call 1
Inputs
(/.f64 (+.f64 x y) #s(literal 10 binary64))
(if (<=.f64 y #s(literal 3143850773938835/190536410541747572716161940294993060653600960856016305594430966774009505543198585212421026798308836130360530463953040948208494609331560382464 binary64)) (/.f64 x #s(literal 10 binary64)) (/.f64 y #s(literal 10 binary64)))
(if (<=.f64 y #s(literal 3143850773938835/190536410541747572716161940294993060653600960856016305594430966774009505543198585212421026798308836130360530463953040948208494609331560382464 binary64)) (/.f64 x #s(literal 10 binary64)) (*.f64 #s(literal 1/10 binary64) y))
(if (<=.f64 y #s(literal 3143850773938835/190536410541747572716161940294993060653600960856016305594430966774009505543198585212421026798308836130360530463953040948208494609331560382464 binary64)) (*.f64 #s(literal 1/10 binary64) x) (*.f64 #s(literal 1/10 binary64) y))
(*.f64 #s(literal 1/10 binary64) x)
Outputs
(/.f64 (+.f64 x y) #s(literal 10 binary64))
(if (<=.f64 y #s(literal 3143850773938835/190536410541747572716161940294993060653600960856016305594430966774009505543198585212421026798308836130360530463953040948208494609331560382464 binary64)) (/.f64 x #s(literal 10 binary64)) (/.f64 y #s(literal 10 binary64)))
(if (<=.f64 y #s(literal 3143850773938835/190536410541747572716161940294993060653600960856016305594430966774009505543198585212421026798308836130360530463953040948208494609331560382464 binary64)) (/.f64 x #s(literal 10 binary64)) (*.f64 #s(literal 1/10 binary64) y))
(if (<=.f64 y #s(literal 3143850773938835/190536410541747572716161940294993060653600960856016305594430966774009505543198585212421026798308836130360530463953040948208494609331560382464 binary64)) (/.f64 x #s(literal 10 binary64)) (*.f64 y #s(literal 1/10 binary64)))
(if (<=.f64 y #s(literal 3143850773938835/190536410541747572716161940294993060653600960856016305594430966774009505543198585212421026798308836130360530463953040948208494609331560382464 binary64)) (*.f64 #s(literal 1/10 binary64) x) (*.f64 #s(literal 1/10 binary64) y))
(if (<=.f64 y #s(literal 3143850773938835/190536410541747572716161940294993060653600960856016305594430966774009505543198585212421026798308836130360530463953040948208494609331560382464 binary64)) (*.f64 x #s(literal 1/10 binary64)) (*.f64 y #s(literal 1/10 binary64)))
(*.f64 #s(literal 1/10 binary64) x)
(*.f64 x #s(literal 1/10 binary64))

soundness1.3s (29.5%)

Rules
1864×fnmadd-define
1816×fma-lowering-fma.f32
1816×fma-lowering-fma.f64
1812×sum5-define
1630×fma-define
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
038168
1124168
2302168
3871168
42404168
54335168
08030168
Stop Event
done
iter limit
node limit
Compiler

Compiled 75 to 43 computations (42.7% saved)

preprocess33.0ms (0.7%)

Remove

(sort x y)

Compiler

Compiled 136 to 70 computations (48.5% saved)

end0.0ms (0%)

Profiling

Loading profile data...