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

Time bar (total: 3.0s)

analyze15.0ms (0.5%)

Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
0%0%99.9%0.1%0%0%0%1
0%0%99.9%0.1%0%0%0%2
50%50%50%0.1%0%0%0%3
50%50%50%0.1%0%0%0%4
75%74.9%25%0.1%0%0%0%5
75%74.9%25%0.1%0%0%0%6
87.5%87.4%12.5%0.1%0%0%0%7
87.5%87.4%12.5%0.1%0%0%0%8
93.8%93.7%6.2%0.1%0%0%0%9
93.8%93.7%6.2%0.1%0%0%0%10
96.9%96.8%3.1%0.1%0%0%0%11
96.9%96.8%3.1%0.1%0%0%0%12
Compiler

Compiled 10 to 7 computations (30% saved)

Precisions
Click to see histograms. Total time spent on operations: 4.0ms
ival-mult: 2.0ms (46% of total)
ival-div: 1.0ms (23% of total)
ival-add: 1.0ms (23% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

sample709.0ms (23.9%)

Results
520.0ms8256×0valid
Precisions
Click to see histograms. Total time spent on operations: 211.0ms
ival-mult: 76.0ms (36% of total)
ival-add: 65.0ms (30.8% of total)
ival-div: 56.0ms (26.5% of total)
const: 11.0ms (5.2% of total)
backward-pass: 3.0ms (1.4% of total)
Bogosity

preprocess77.0ms (2.6%)

Algorithm
egg-herbie
Rules
2756×fnmadd-define
2732×fma-define
2492×sum3-define
600×fnmsub-define
596×fmsub-define
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01848
15244
214642
344742
4134642
5285642
6548342
7654142
8664142
9669742
10671342
067
1127
2157
3167
0167
Stop Event
iter limit
saturated
saturated
Calls
Call 1
Inputs
(/ (* x y) (+ y 1))
Outputs
(/ (* x y) (+ y 1))
(*.f64 x (/.f64 y (+.f64 y #s(literal 1 binary64))))
Call 2
Inputs
(/ (* x y) (+ y 1))
(/ (* (neg x) y) (+ y 1))
(/ (* x (neg y)) (+ (neg y) 1))
(neg (/ (* (neg x) y) (+ y 1)))
(neg (/ (* x (neg y)) (+ (neg y) 1)))
(/ (* y x) (+ x 1))
Outputs
(/ (* x y) (+ y 1))
(* x (/ y (+ y 1)))
(/ (* (neg x) y) (+ y 1))
(* x (/ y (- -1 y)))
(/ (* x (neg y)) (+ (neg y) 1))
(* y (/ x (+ y -1)))
(neg (/ (* (neg x) y) (+ y 1)))
(* x (/ y (+ y 1)))
(neg (/ (* x (neg y)) (+ (neg y) 1)))
(* y (/ x (- 1 y)))
(/ (* y x) (+ x 1))
(/ (* x y) (+ x 1))
Symmetry

(negabs x)

explain81.0ms (2.7%)

FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
370-0-(/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64)))
00-0-(*.f64 x y)
00-0-x
00-0-#s(literal 1 binary64)
00-0-y
00-0-(+.f64 y #s(literal 1 binary64))
Results
58.0ms512×0valid
Compiler

Compiled 47 to 20 computations (57.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 12.0ms
ival-mult: 5.0ms (41.5% of total)
ival-div: 3.0ms (24.9% of total)
ival-add: 3.0ms (24.9% of total)
const: 1.0ms (8.3% of total)
backward-pass: 0.0ms (0% of total)

eval0.0ms (0%)

Compiler

Compiled 9 to 6 computations (33.3% saved)

prune1.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
86.5%
(/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64)))
100.0%
(*.f64 x (/.f64 y (+.f64 y #s(literal 1 binary64))))
Compiler

Compiled 18 to 12 computations (33.3% saved)

simplify5.0ms (0.2%)

Algorithm
egg-herbie
Localize:

Found 6 expressions of interest:

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

Useful iterations: 0 (0.0ms)

IterNodesCost
0834
11334
21534
31634
01634
Stop Event
iter limit
saturated
Calls
Call 1
Inputs
(* x (/ y (+ y 1)))
x
(/ y (+ y 1))
y
(+ y 1)
1
(/ (* x y) (+ y 1))
(* x y)
x
y
(+ y 1)
1
Outputs
(* x (/ y (+ y 1)))
(*.f64 y (/.f64 x (+.f64 y #s(literal 1 binary64))))
x
(/ y (+ y 1))
(/.f64 y (+.f64 y #s(literal 1 binary64)))
y
(+ y 1)
(+.f64 y #s(literal 1 binary64))
1
#s(literal 1 binary64)
(/ (* x y) (+ y 1))
(*.f64 y (/.f64 x (+.f64 y #s(literal 1 binary64))))
(* x y)
(*.f64 x y)
x
y
(+ y 1)
(+.f64 y #s(literal 1 binary64))
1
#s(literal 1 binary64)

localize40.0ms (1.4%)

Localize:

Found 6 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(+.f64 y #s(literal 1 binary64))
accuracy100.0%
(*.f64 x y)
accuracy86.5%
(/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64)))
accuracy100.0%
(+.f64 y #s(literal 1 binary64))
accuracy100.0%
(*.f64 x (/.f64 y (+.f64 y #s(literal 1 binary64))))
accuracy100.0%
(/.f64 y (+.f64 y #s(literal 1 binary64)))
Results
26.0ms256×0valid
Compiler

Compiled 37 to 9 computations (75.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 12.0ms
ival-mult: 7.0ms (57% of total)
ival-div: 4.0ms (32.6% of total)
ival-add: 2.0ms (16.3% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

series9.0ms (0.3%)

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

24 calls:

TimeVariablePointExpression
3.0ms
y
@inf
(* x (/ y (+ y 1)))
1.0ms
x
@0
(* x (/ y (+ y 1)))
1.0ms
x
@inf
(* x (/ y (+ y 1)))
1.0ms
y
@0
(* x y)
0.0ms
x
@-inf
(* x (/ y (+ y 1)))

rewrite335.0ms (11.3%)

Algorithm
batch-egg-rewrite
Rules
4268×/-lowering-/.f32
4268×/-lowering-/.f64
3426×*-lowering-*.f32
3426×*-lowering-*.f64
1812×--lowering--.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0825
13825
223725
3220725
0893325
Stop Event
iter limit
node limit
Counts
5 → 551
Calls
Call 1
Inputs
(* x (/ y (+ y 1)))
(/ y (+ y 1))
(+ y 1)
(/ (* x y) (+ y 1))
(* x y)
Outputs
(+.f64 (*.f64 (/.f64 (*.f64 x y) (+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y)))) (*.f64 y y)) (*.f64 (/.f64 (*.f64 x y) (+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y)))) (-.f64 #s(literal 1 binary64) y)))
(+.f64 (*.f64 (/.f64 (*.f64 x y) (+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y)))) (-.f64 #s(literal 1 binary64) y)) (*.f64 (/.f64 (*.f64 x y) (+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y)))) (*.f64 y y)))
(+.f64 (*.f64 (*.f64 x (/.f64 y (+.f64 (*.f64 y y) #s(literal -1 binary64)))) y) (*.f64 (*.f64 x (/.f64 y (+.f64 (*.f64 y y) #s(literal -1 binary64)))) #s(literal -1 binary64)))
(+.f64 (*.f64 (*.f64 y y) (/.f64 (*.f64 x y) (+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y))))) (*.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 (*.f64 x y) (+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y))))))
(+.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 (*.f64 x y) (+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y))))) (*.f64 (*.f64 y y) (/.f64 (*.f64 x y) (+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y))))))
(+.f64 (*.f64 y (*.f64 x (/.f64 y (+.f64 (*.f64 y y) #s(literal -1 binary64))))) (*.f64 #s(literal -1 binary64) (*.f64 x (/.f64 y (+.f64 (*.f64 y y) #s(literal -1 binary64))))))
(exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 (+.f64 y #s(literal 1 binary64)) y) x)) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 x y) (-.f64 #s(literal -1 binary64) y)))
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 y #s(literal 1 binary64))) (/.f64 (*.f64 x y) (-.f64 #s(literal -1 binary64) y)))
(-.f64 (/.f64 (/.f64 y (+.f64 (*.f64 y y) #s(literal -1 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) x) y)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 y y) #s(literal -1 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) x) y)))
(-.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 y y)) (+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y)))) (/.f64 (/.f64 #s(literal 1 binary64) x) y)) (/.f64 (/.f64 y (+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y)))) (/.f64 (/.f64 #s(literal 1 binary64) x) y)))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 (-.f64 #s(literal -1 binary64) y) y)) (/.f64 x (/.f64 (-.f64 #s(literal -1 binary64) y) y)))
(fma.f64 y (*.f64 x (/.f64 y (+.f64 (*.f64 y y) #s(literal -1 binary64)))) (*.f64 #s(literal -1 binary64) (*.f64 x (/.f64 y (+.f64 (*.f64 y y) #s(literal -1 binary64))))))
(fma.f64 (*.f64 y y) (/.f64 (*.f64 x y) (+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y)))) (*.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 (*.f64 x y) (+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y))))))
(fma.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 (*.f64 x y) (+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y)))) (*.f64 (*.f64 y y) (/.f64 (*.f64 x y) (+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y))))))
(fma.f64 (/.f64 (*.f64 x y) (+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y)))) (*.f64 y y) (*.f64 (/.f64 (*.f64 x y) (+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y)))) (-.f64 #s(literal 1 binary64) y)))
(fma.f64 (/.f64 (*.f64 x y) (+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y)))) (-.f64 #s(literal 1 binary64) y) (*.f64 (/.f64 (*.f64 x y) (+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y)))) (*.f64 y y)))
(fma.f64 (*.f64 x (/.f64 y (+.f64 (*.f64 y y) #s(literal -1 binary64)))) y (*.f64 (*.f64 x (/.f64 y (+.f64 (*.f64 y y) #s(literal -1 binary64)))) #s(literal -1 binary64)))
(neg.f64 (/.f64 (*.f64 x y) (-.f64 #s(literal -1 binary64) y)))
(neg.f64 (*.f64 (/.f64 y (-.f64 #s(literal -1 binary64) y)) x))
(neg.f64 (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) (-.f64 #s(literal -1 binary64) y))))
(/.f64 x (/.f64 (+.f64 y #s(literal 1 binary64)) y))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 y #s(literal 1 binary64)) y) x))
(/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x y)) (-.f64 #s(literal -1 binary64) y))
(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) x) y))
(/.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) y) (*.f64 x y)))
(/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) y)) (neg.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y)))
(/.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 (-.f64 #s(literal -1 binary64) y) y))
(/.f64 (/.f64 (*.f64 x y) (+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 y #s(literal -1 binary64))))))
(/.f64 (*.f64 x (/.f64 y (+.f64 (*.f64 y y) #s(literal -1 binary64)))) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) y)))
(/.f64 (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 y #s(literal -1 binary64)))))) (+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y))))
(/.f64 (*.f64 y (*.f64 x (+.f64 y #s(literal -1 binary64)))) (+.f64 (*.f64 y y) #s(literal -1 binary64)))
(/.f64 (/.f64 x (+.f64 y #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) y))
(/.f64 (*.f64 (*.f64 x y) (+.f64 (*.f64 y (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y y))) (*.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) y))))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y))) (+.f64 (*.f64 y (*.f64 y (*.f64 y y))) (*.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y y))))))
(/.f64 (*.f64 (*.f64 x y) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 y #s(literal -1 binary64)))) (+.f64 (+.f64 (*.f64 y y) #s(literal -1 binary64)) y))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y))) (+.f64 (+.f64 (*.f64 y y) #s(literal -1 binary64)) y)))
(/.f64 (*.f64 (*.f64 x y) (+.f64 (*.f64 y y) #s(literal -1 binary64))) (*.f64 (+.f64 (*.f64 y y) #s(literal -1 binary64)) (+.f64 y #s(literal 1 binary64))))
(/.f64 (*.f64 (*.f64 x y) (+.f64 (*.f64 y (*.f64 y y)) #s(literal -1 binary64))) (*.f64 (+.f64 (*.f64 y y) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 y #s(literal 1 binary64))))))
(/.f64 (neg.f64 (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 y #s(literal -1 binary64))))))) (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 y (*.f64 y y)) #s(literal -1 binary64))))
(/.f64 (neg.f64 (*.f64 y (*.f64 x (+.f64 y #s(literal -1 binary64))))) (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 y y) #s(literal -1 binary64))))
(/.f64 (/.f64 (*.f64 x y) #s(literal 1 binary64)) (+.f64 y #s(literal 1 binary64)))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) x)) (/.f64 (+.f64 y #s(literal 1 binary64)) y))
(/.f64 (*.f64 x #s(literal -1 binary64)) (/.f64 (-.f64 #s(literal -1 binary64) y) y))
(/.f64 (*.f64 (/.f64 (*.f64 x y) (+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y)))) (+.f64 (*.f64 y (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y y))) (*.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) y))))) (+.f64 (*.f64 y (*.f64 y (*.f64 y y))) (*.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y y)))))
(/.f64 (*.f64 (/.f64 (*.f64 x y) (+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y)))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 y #s(literal -1 binary64)))) (+.f64 (+.f64 (*.f64 y y) #s(literal -1 binary64)) y))) (+.f64 (+.f64 (*.f64 y y) #s(literal -1 binary64)) y))
(/.f64 (*.f64 (*.f64 x (/.f64 y (+.f64 (*.f64 y y) #s(literal -1 binary64)))) (+.f64 (*.f64 y y) #s(literal -1 binary64))) (+.f64 y #s(literal 1 binary64)))
(/.f64 (*.f64 (*.f64 x (/.f64 y (+.f64 (*.f64 y y) #s(literal -1 binary64)))) (+.f64 (*.f64 y (*.f64 y y)) #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 y #s(literal 1 binary64)))))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 (-.f64 #s(literal -1 binary64) y) (*.f64 x y))) (*.f64 (-.f64 #s(literal -1 binary64) y) #s(literal 1 binary64))) (*.f64 (-.f64 #s(literal -1 binary64) y) (/.f64 (-.f64 #s(literal -1 binary64) y) (*.f64 x y))))
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(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 y y) #s(literal -1 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 x (+.f64 y #s(literal -1 binary64))))) #s(literal -1 binary64)))
(*.f64 (/.f64 (*.f64 x y) (+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y)))) (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 y #s(literal -1 binary64)))))
(*.f64 (/.f64 (*.f64 x y) (+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 y #s(literal -1 binary64)))))))
(*.f64 (*.f64 x (/.f64 y (+.f64 (*.f64 y y) #s(literal -1 binary64)))) (+.f64 y #s(literal -1 binary64)))
(*.f64 (*.f64 x (/.f64 y (+.f64 (*.f64 y y) #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) y))))
(*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y)))) (/.f64 x (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 y #s(literal -1 binary64)))))))
(*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y)))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 y #s(literal -1 binary64)))) x))
(*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y)))) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 y #s(literal -1 binary64))))) x) #s(literal -1 binary64)))
(*.f64 (/.f64 y (+.f64 (*.f64 y y) #s(literal -1 binary64))) (/.f64 x (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) y))))
(*.f64 (/.f64 y (+.f64 (*.f64 y y) #s(literal -1 binary64))) (*.f64 (+.f64 y #s(literal -1 binary64)) x))
(*.f64 (/.f64 y (+.f64 (*.f64 y y) #s(literal -1 binary64))) (pow.f64 (/.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) y)) x) #s(literal -1 binary64)))
(*.f64 (/.f64 x (+.f64 y #s(literal 1 binary64))) y)
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) y)) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))))
(*.f64 (/.f64 y #s(literal -1 binary64)) (/.f64 x (-.f64 #s(literal -1 binary64) y)))
(*.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 y (-.f64 #s(literal -1 binary64) y)))
(*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y)))) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 y #s(literal -1 binary64))))))
(*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y)))) (/.f64 y (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 y #s(literal -1 binary64)))))))
(*.f64 (/.f64 x (+.f64 (*.f64 y y) #s(literal -1 binary64))) (*.f64 y (+.f64 y #s(literal -1 binary64))))
(*.f64 (/.f64 x (+.f64 (*.f64 y y) #s(literal -1 binary64))) (/.f64 y (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) y))))
(*.f64 (/.f64 y #s(literal 1 binary64)) (/.f64 x (+.f64 y #s(literal 1 binary64))))
(*.f64 (/.f64 (*.f64 x y) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))))
(*.f64 (pow.f64 (/.f64 (/.f64 (+.f64 y #s(literal 1 binary64)) y) x) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (/.f64 (+.f64 y #s(literal 1 binary64)) y) x) #s(literal -1/2 binary64)))
(*.f64 (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) (+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y))))) (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 y #s(literal -1 binary64)))))
(*.f64 (*.f64 #s(literal 1 binary64) (*.f64 x (/.f64 y (+.f64 (*.f64 y y) #s(literal -1 binary64))))) (+.f64 y #s(literal -1 binary64)))
(*.f64 (/.f64 (*.f64 x y) (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 y (*.f64 y y)) #s(literal -1 binary64)))) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 y #s(literal -1 binary64))))))
(*.f64 (/.f64 (*.f64 x y) (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 y y) #s(literal -1 binary64)))) (-.f64 #s(literal 1 binary64) y))
(*.f64 (/.f64 x #s(literal 1 binary64)) (/.f64 y (+.f64 y #s(literal 1 binary64))))
(*.f64 (/.f64 x (-.f64 #s(literal -1 binary64) y)) (-.f64 #s(literal 0 binary64) y))
(*.f64 (/.f64 (*.f64 x y) (-.f64 #s(literal 1 binary64) (*.f64 y y))) (-.f64 #s(literal 1 binary64) y))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1 binary64)) (pow.f64 (/.f64 (-.f64 #s(literal -1 binary64) y) x) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (*.f64 x y)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) y)))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (/.f64 y (+.f64 y #s(literal 1 binary64))))
(*.f64 (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y))) x) #s(literal -1 binary64)) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 y #s(literal -1 binary64))))) y) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (+.f64 (*.f64 y y) #s(literal -1 binary64)) x) #s(literal -1 binary64)) (pow.f64 (/.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) y)) y) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) (/.f64 y (-.f64 #s(literal -1 binary64) y)))
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (*.f64 x y)))
(neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 x y)))
(*.f64 x y)
(*.f64 y x)
(*.f64 y (neg.f64 (-.f64 #s(literal 0 binary64) x)))
(*.f64 #s(literal 1 binary64) (*.f64 x y))
(*.f64 (*.f64 x y) #s(literal 1 binary64))
(*.f64 (-.f64 #s(literal 0 binary64) y) (-.f64 #s(literal 0 binary64) x))
(*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 x y)))
(*.f64 (-.f64 #s(literal 0 binary64) x) (-.f64 #s(literal 0 binary64) y))
(*.f64 (neg.f64 (-.f64 #s(literal 0 binary64) x)) y)

simplify188.0ms (6.3%)

Algorithm
egg-herbie
Rules
1694×*-lowering-*.f32
1694×*-lowering-*.f64
1512×fnmadd-define
1464×+-lowering-+.f64
1464×+-lowering-+.f32
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
070575
1221547
2531526
31941488
47882488
08279488
Stop Event
iter limit
node limit
Counts
96 → 96
Calls
Call 1
Inputs
(/ (* x y) (+ 1 y))
(/ (* x y) (+ 1 y))
(/ (* x y) (+ 1 y))
(/ (* x y) (+ 1 y))
(/ (* x y) (+ 1 y))
(/ (* x y) (+ 1 y))
(/ (* x y) (+ 1 y))
(/ (* x y) (+ 1 y))
(/ (* x y) (+ 1 y))
(/ (* x y) (+ 1 y))
(/ (* x y) (+ 1 y))
(/ (* x y) (+ 1 y))
(* x y)
(* y (+ x (* -1 (* x y))))
(* y (+ x (* y (- (* x y) x))))
(* y (+ x (* y (- (* y (- (* -1 (* x y)) (* -1 x))) x))))
x
(+ x (* -1 (/ x y)))
(- (+ x (/ x (pow y 2))) (/ x y))
(- (+ x (* -1 (/ x (pow y 3)))) (+ (* -1 (/ x (pow y 2))) (/ x y)))
x
(+ x (* -1 (/ x y)))
(+ x (* -1 (/ (+ x (* -1 (/ x y))) y)))
(+ x (* -1 (/ (+ x (* -1 (/ (+ x (* -1 (/ x y))) y))) y)))
y
(* y (+ 1 (* -1 y)))
(* y (+ 1 (* y (- y 1))))
(* y (+ 1 (* y (- (* y (+ 1 (* -1 y))) 1))))
1
(- 1 (/ 1 y))
(- (+ 1 (/ 1 (pow y 2))) (/ 1 y))
(- (+ 1 (/ 1 (pow y 2))) (+ (/ 1 y) (/ 1 (pow y 3))))
1
(- 1 (/ 1 y))
(+ 1 (* -1 (/ (- 1 (/ 1 y)) y)))
(+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 y)) y))) y)))
1
(+ 1 y)
(+ 1 y)
(+ 1 y)
y
(* y (+ 1 (/ 1 y)))
(* y (+ 1 (/ 1 y)))
(* y (+ 1 (/ 1 y)))
y
(* y (+ 1 (/ 1 y)))
(* y (+ 1 (/ 1 y)))
(* y (+ 1 (/ 1 y)))
(/ (* x y) (+ 1 y))
(/ (* x y) (+ 1 y))
(/ (* x y) (+ 1 y))
(/ (* x y) (+ 1 y))
(/ (* x y) (+ 1 y))
(/ (* x y) (+ 1 y))
(/ (* x y) (+ 1 y))
(/ (* x y) (+ 1 y))
(/ (* x y) (+ 1 y))
(/ (* x y) (+ 1 y))
(/ (* x y) (+ 1 y))
(/ (* x y) (+ 1 y))
(* x y)
(* y (+ x (* -1 (* x y))))
(* y (+ x (* y (- (* x y) x))))
(* y (+ x (* y (- (* y (- (* -1 (* x y)) (* -1 x))) x))))
x
(+ x (* -1 (/ x y)))
(- (+ x (/ x (pow y 2))) (/ x y))
(- (+ x (* -1 (/ x (pow y 3)))) (+ (* -1 (/ x (pow y 2))) (/ x y)))
x
(+ x (* -1 (/ x y)))
(+ x (* -1 (/ (+ x (* -1 (/ x y))) y)))
(+ x (* -1 (/ (+ x (* -1 (/ (+ x (* -1 (/ x y))) y))) y)))
(* x y)
(* 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)
Outputs
(/ (* x y) (+ 1 y))
(/.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)))
(/ (* x y) (+ 1 y))
(/.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)))
(/ (* x y) (+ 1 y))
(/.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)))
(/ (* x y) (+ 1 y))
(/.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)))
(/ (* x y) (+ 1 y))
(/.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)))
(/ (* x y) (+ 1 y))
(/.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)))
(/ (* x y) (+ 1 y))
(/.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)))
(/ (* x y) (+ 1 y))
(/.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)))
(/ (* x y) (+ 1 y))
(/.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)))
(/ (* x y) (+ 1 y))
(/.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)))
(/ (* x y) (+ 1 y))
(/.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)))
(/ (* x y) (+ 1 y))
(/.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)))
(* x y)
(*.f64 x y)
(* y (+ x (* -1 (* x y))))
(*.f64 x (*.f64 y (-.f64 #s(literal 1 binary64) y)))
(* y (+ x (* y (- (* x y) x))))
(*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 y #s(literal -1 binary64))))))
(* y (+ x (* y (- (* y (- (* -1 (* x y)) (* -1 x))) x))))
(*.f64 y (*.f64 (*.f64 x (+.f64 y #s(literal -1 binary64))) (-.f64 #s(literal -1 binary64) (*.f64 y y))))
x
(+ x (* -1 (/ x y)))
(-.f64 x (/.f64 x y))
(- (+ x (/ x (pow y 2))) (/ x y))
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) y)))
(- (+ x (* -1 (/ x (pow y 3)))) (+ (* -1 (/ x (pow y 2))) (/ x y)))
(+.f64 x (/.f64 (*.f64 x (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) y))) y))
x
(+ x (* -1 (/ x y)))
(-.f64 x (/.f64 x y))
(+ x (* -1 (/ (+ x (* -1 (/ x y))) y)))
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) y)))
(+ x (* -1 (/ (+ x (* -1 (/ (+ x (* -1 (/ x y))) y))) y)))
(+.f64 x (/.f64 (*.f64 x (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) y))) y))
y
(* y (+ 1 (* -1 y)))
(*.f64 y (-.f64 #s(literal 1 binary64) y))
(* y (+ 1 (* y (- y 1))))
(*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 y #s(literal -1 binary64)))))
(* y (+ 1 (* y (- (* y (+ 1 (* -1 y))) 1))))
(*.f64 y (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 y y)) (-.f64 #s(literal 1 binary64) y)))
1
#s(literal 1 binary64)
(- 1 (/ 1 y))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y))
(- (+ 1 (/ 1 (pow y 2))) (/ 1 y))
(-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) y))
(- (+ 1 (/ 1 (pow y 2))) (+ (/ 1 y) (/ 1 (pow y 3))))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) y)) y))
1
#s(literal 1 binary64)
(- 1 (/ 1 y))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y))
(+ 1 (* -1 (/ (- 1 (/ 1 y)) y)))
(-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) y))
(+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 y)) y))) y)))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) y)) y))
1
#s(literal 1 binary64)
(+ 1 y)
(+.f64 y #s(literal 1 binary64))
(+ 1 y)
(+.f64 y #s(literal 1 binary64))
(+ 1 y)
(+.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
(* 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))
(/ (* x y) (+ 1 y))
(/.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)))
(/ (* x y) (+ 1 y))
(/.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)))
(/ (* x y) (+ 1 y))
(/.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)))
(/ (* x y) (+ 1 y))
(/.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)))
(/ (* x y) (+ 1 y))
(/.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)))
(/ (* x y) (+ 1 y))
(/.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)))
(/ (* x y) (+ 1 y))
(/.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)))
(/ (* x y) (+ 1 y))
(/.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)))
(/ (* x y) (+ 1 y))
(/.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)))
(/ (* x y) (+ 1 y))
(/.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)))
(/ (* x y) (+ 1 y))
(/.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)))
(/ (* x y) (+ 1 y))
(/.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)))
(* x y)
(*.f64 x y)
(* y (+ x (* -1 (* x y))))
(*.f64 x (*.f64 y (-.f64 #s(literal 1 binary64) y)))
(* y (+ x (* y (- (* x y) x))))
(*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 y #s(literal -1 binary64))))))
(* y (+ x (* y (- (* y (- (* -1 (* x y)) (* -1 x))) x))))
(*.f64 y (*.f64 (*.f64 x (+.f64 y #s(literal -1 binary64))) (-.f64 #s(literal -1 binary64) (*.f64 y y))))
x
(+ x (* -1 (/ x y)))
(-.f64 x (/.f64 x y))
(- (+ x (/ x (pow y 2))) (/ x y))
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) y)))
(- (+ x (* -1 (/ x (pow y 3)))) (+ (* -1 (/ x (pow y 2))) (/ x y)))
(+.f64 x (/.f64 (*.f64 x (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) y))) y))
x
(+ x (* -1 (/ x y)))
(-.f64 x (/.f64 x y))
(+ x (* -1 (/ (+ x (* -1 (/ x y))) y)))
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) y)))
(+ x (* -1 (/ (+ x (* -1 (/ (+ x (* -1 (/ x y))) y))) y)))
(+.f64 x (/.f64 (*.f64 x (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) y))) 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)
(* x y)
(*.f64 x y)

eval91.0ms (3.1%)

Compiler

Compiled 17680 to 1583 computations (91% saved)

prune113.0ms (3.8%)

Pruning

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New8314835
Fresh000
Picked202
Done000
Total8334837
Accuracy
100.0%
Counts
837 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.8%
(/.f64 x (/.f64 (+.f64 y #s(literal 1 binary64)) y))
47.5%
(-.f64 x (/.f64 x y))
54.8%
(*.f64 x y)
48.5%
x
Compiler

Compiled 24 to 15 computations (37.5% saved)

simplify83.0ms (2.8%)

Algorithm
egg-herbie
Localize:

Found 6 expressions of interest:

NewMetricScoreProgram
cost-diff0
(+.f64 y #s(literal 1 binary64))
cost-diff0
(/.f64 (+.f64 y #s(literal 1 binary64)) y)
cost-diff0
(/.f64 x (/.f64 (+.f64 y #s(literal 1 binary64)) y))
cost-diff0
(/.f64 x y)
cost-diff0
(-.f64 x (/.f64 x y))
cost-diff0
(*.f64 x y)
Rules
1388×fnmadd-define
1084×fma-define
1056×fnmsub-define
1056×fmsub-define
940×fmm-def
Iterations

Useful iterations: 9 (0.0ms)

IterNodesCost
0934
11734
22734
34034
45934
511234
622734
744834
8124734
9302232
10403532
11441532
12498932
13541932
14543532
0543532
Stop Event
iter limit
saturated
Calls
Call 1
Inputs
x
(* x y)
x
y
(- x (/ x y))
x
(/ x y)
y
(/ x (/ (+ y 1) y))
x
(/ (+ y 1) y)
(+ y 1)
y
1
Outputs
x
(* x y)
(*.f64 x y)
x
y
(- x (/ x y))
(-.f64 x (/.f64 x y))
x
(/ x y)
(/.f64 x y)
y
(/ x (/ (+ y 1) y))
(/.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)))
x
(/ (+ y 1) y)
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y))
(+ y 1)
(+.f64 y #s(literal 1 binary64))
y
1
#s(literal 1 binary64)

localize45.0ms (1.5%)

Localize:

Found 6 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(/.f64 (+.f64 y #s(literal 1 binary64)) y)
accuracy100.0%
(+.f64 y #s(literal 1 binary64))
accuracy99.8%
(/.f64 x (/.f64 (+.f64 y #s(literal 1 binary64)) y))
accuracy100.0%
(/.f64 x y)
accuracy100.0%
(-.f64 x (/.f64 x y))
accuracy100.0%
(*.f64 x y)
Results
27.0ms256×0valid
Compiler

Compiled 37 to 10 computations (73% saved)

Precisions
Click to see histograms. Total time spent on operations: 11.0ms
ival-div: 5.0ms (46.8% of total)
ival-mult: 2.0ms (18.7% of total)
ival-sub: 1.0ms (9.4% of total)
ival-add: 1.0ms (9.4% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

series5.0ms (0.2%)

Counts
6 → 120
Calls
Call 1
Inputs
#<alt (* x y)>
#<alt (- x (/ x y))>
#<alt (/ x y)>
#<alt (/ x (/ (+ y 1) y))>
#<alt (/ (+ y 1) y)>
#<alt (+ y 1)>
Outputs
#<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 (* x (- 1 (/ 1 y)))>
#<alt (* x (- 1 (/ 1 y)))>
#<alt (* x (- 1 (/ 1 y)))>
#<alt (* x (- 1 (/ 1 y)))>
#<alt (* x (- 1 (/ 1 y)))>
#<alt (* x (- 1 (/ 1 y)))>
#<alt (* x (- 1 (/ 1 y)))>
#<alt (* x (- 1 (/ 1 y)))>
#<alt (* -1 (* x (- (/ 1 y) 1)))>
#<alt (* -1 (* x (- (/ 1 y) 1)))>
#<alt (* -1 (* x (- (/ 1 y) 1)))>
#<alt (* -1 (* x (- (/ 1 y) 1)))>
#<alt (* -1 (/ x y))>
#<alt (/ (- (* x y) x) y)>
#<alt (/ (- (* x y) x) y)>
#<alt (/ (- (* x y) x) y)>
#<alt x>
#<alt (+ x (* -1 (/ x y)))>
#<alt (+ x (* -1 (/ x y)))>
#<alt (+ x (* -1 (/ x y)))>
#<alt x>
#<alt (+ x (* -1 (/ x y)))>
#<alt (+ x (* -1 (/ x y)))>
#<alt (+ x (* -1 (/ x y)))>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ (* x y) (+ 1 y))>
#<alt (/ (* x y) (+ 1 y))>
#<alt (/ (* x y) (+ 1 y))>
#<alt (/ (* x y) (+ 1 y))>
#<alt (/ (* x y) (+ 1 y))>
#<alt (/ (* x y) (+ 1 y))>
#<alt (/ (* x y) (+ 1 y))>
#<alt (/ (* x y) (+ 1 y))>
#<alt (/ (* x y) (+ 1 y))>
#<alt (/ (* x y) (+ 1 y))>
#<alt (/ (* x y) (+ 1 y))>
#<alt (/ (* x y) (+ 1 y))>
#<alt (* x y)>
#<alt (* y (+ x (* -1 (* x y))))>
#<alt (* y (+ x (* y (- (* x y) x))))>
#<alt (* y (+ x (* y (- (* y (- (* -1 (* x y)) (* -1 x))) x))))>
#<alt x>
#<alt (+ x (* -1 (/ x y)))>
#<alt (- (+ x (/ x (pow y 2))) (/ x y))>
#<alt (- (+ x (* -1 (/ x (pow y 3)))) (+ (* -1 (/ x (pow y 2))) (/ x y)))>
#<alt x>
#<alt (+ x (* -1 (/ x y)))>
#<alt (+ x (* -1 (/ (+ x (* -1 (/ x y))) y)))>
#<alt (+ x (* -1 (/ (+ x (* -1 (/ (+ x (* -1 (/ x y))) y))) y)))>
#<alt (/ 1 y)>
#<alt (/ (+ 1 y) y)>
#<alt (/ (+ 1 y) y)>
#<alt (/ (+ 1 y) y)>
#<alt 1>
#<alt (+ 1 (/ 1 y))>
#<alt (+ 1 (/ 1 y))>
#<alt (+ 1 (/ 1 y))>
#<alt 1>
#<alt (+ 1 (/ 1 y))>
#<alt (+ 1 (/ 1 y))>
#<alt (+ 1 (/ 1 y))>
#<alt 1>
#<alt (+ 1 y)>
#<alt (+ 1 y)>
#<alt (+ 1 y)>
#<alt y>
#<alt (* y (+ 1 (/ 1 y)))>
#<alt (* y (+ 1 (/ 1 y)))>
#<alt (* y (+ 1 (/ 1 y)))>
#<alt y>
#<alt (* y (+ 1 (/ 1 y)))>
#<alt (* y (+ 1 (/ 1 y)))>
#<alt (* y (+ 1 (/ 1 y)))>
Calls

30 calls:

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

rewrite257.0ms (8.7%)

Algorithm
batch-egg-rewrite
Rules
3130×*-lowering-*.f32
3130×*-lowering-*.f64
3064×/-lowering-/.f32
3064×/-lowering-/.f64
1556×frac-times
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0926
16026
247826
3688626
0836026
Stop Event
iter limit
node limit
Counts
6 → 362
Calls
Call 1
Inputs
(* x y)
(- x (/ x y))
(/ x y)
(/ x (/ (+ y 1) y))
(/ (+ y 1) y)
(+ y 1)
Outputs
(*.f64 x y)
(*.f64 y x)
(*.f64 (*.f64 x y) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 x y))
(+.f64 x (-.f64 #s(literal 0 binary64) (/.f64 x y)))
(+.f64 (-.f64 #s(literal 0 binary64) (/.f64 x y)) x)
(+.f64 (/.f64 (*.f64 x (*.f64 x x)) (+.f64 (*.f64 x x) (/.f64 (*.f64 x (+.f64 x (/.f64 x y))) y))) (neg.f64 (/.f64 (*.f64 x (*.f64 x x)) (*.f64 (+.f64 (*.f64 x x) (/.f64 (*.f64 x (+.f64 x (/.f64 x y))) y)) (*.f64 y (*.f64 y y))))))
(+.f64 (/.f64 (*.f64 x x) (+.f64 x (/.f64 x y))) (neg.f64 (/.f64 (/.f64 x (/.f64 (*.f64 y y) x)) (+.f64 x (/.f64 x y)))))
(-.f64 x (/.f64 x y))
(-.f64 #s(literal 0 binary64) (-.f64 (/.f64 x y) x))
(-.f64 (/.f64 (*.f64 x (*.f64 x x)) (+.f64 (*.f64 x x) (/.f64 (*.f64 x (+.f64 x (/.f64 x y))) y))) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 (+.f64 (*.f64 x x) (/.f64 (*.f64 x (+.f64 x (/.f64 x y))) y)) (*.f64 y (*.f64 y y)))))
(-.f64 (/.f64 (*.f64 x x) (+.f64 x (/.f64 x y))) (/.f64 (/.f64 x (/.f64 (*.f64 y y) x)) (+.f64 x (/.f64 x y))))
(-.f64 (+.f64 x #s(literal 0 binary64)) (/.f64 x y))
(fma.f64 x #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 x y)))
(fma.f64 x (/.f64 #s(literal -1 binary64) y) x)
(fma.f64 x (/.f64 (*.f64 x x) (+.f64 (*.f64 x x) (/.f64 (*.f64 x (+.f64 x (/.f64 x y))) y))) (neg.f64 (/.f64 (*.f64 x (*.f64 x x)) (*.f64 (+.f64 (*.f64 x x) (/.f64 (*.f64 x (+.f64 x (/.f64 x y))) y)) (*.f64 y (*.f64 y y))))))
(fma.f64 x (/.f64 x (+.f64 x (/.f64 x y))) (neg.f64 (/.f64 (/.f64 x (/.f64 (*.f64 y y) x)) (+.f64 x (/.f64 x y)))))
(fma.f64 #s(literal 1 binary64) x (-.f64 #s(literal 0 binary64) (/.f64 x y)))
(fma.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 #s(literal 1 binary64) y) x)
(fma.f64 (*.f64 x (*.f64 x x)) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x x) (/.f64 (*.f64 x (+.f64 x (/.f64 x y))) y))) (neg.f64 (/.f64 (*.f64 x (*.f64 x x)) (*.f64 (+.f64 (*.f64 x x) (/.f64 (*.f64 x (+.f64 x (/.f64 x y))) y)) (*.f64 y (*.f64 y y))))))
(fma.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (+.f64 x (/.f64 x y))) (neg.f64 (/.f64 (/.f64 x (/.f64 (*.f64 y y) x)) (+.f64 x (/.f64 x y)))))
(fma.f64 (*.f64 x x) (/.f64 x (+.f64 (*.f64 x x) (/.f64 (*.f64 x (+.f64 x (/.f64 x y))) y))) (neg.f64 (/.f64 (*.f64 x (*.f64 x x)) (*.f64 (+.f64 (*.f64 x x) (/.f64 (*.f64 x (+.f64 x (/.f64 x y))) y)) (*.f64 y (*.f64 y y))))))
(fma.f64 #s(literal -1 binary64) (/.f64 x y) x)
(fma.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) x) (-.f64 #s(literal 0 binary64) (/.f64 x y)))
(fma.f64 (pow.f64 x #s(literal 3/2 binary64)) (/.f64 (pow.f64 x #s(literal 3/2 binary64)) (+.f64 (*.f64 x x) (/.f64 (*.f64 x (+.f64 x (/.f64 x y))) y))) (neg.f64 (/.f64 (*.f64 x (*.f64 x x)) (*.f64 (+.f64 (*.f64 x x) (/.f64 (*.f64 x (+.f64 x (/.f64 x y))) y)) (*.f64 y (*.f64 y y))))))
(fma.f64 (/.f64 (*.f64 x (*.f64 x x)) (+.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (/.f64 (*.f64 x (+.f64 x (/.f64 x y))) y) (*.f64 (/.f64 (*.f64 x (+.f64 x (/.f64 x y))) y) (/.f64 (*.f64 x (+.f64 x (/.f64 x y))) y))))) (+.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (/.f64 (*.f64 x (+.f64 x (/.f64 x y))) y) (-.f64 (/.f64 (*.f64 x (+.f64 x (/.f64 x y))) y) (*.f64 x x)))) (neg.f64 (/.f64 (*.f64 x (*.f64 x x)) (*.f64 (+.f64 (*.f64 x x) (/.f64 (*.f64 x (+.f64 x (/.f64 x y))) y)) (*.f64 y (*.f64 y y))))))
(fma.f64 (/.f64 (*.f64 x (*.f64 x x)) (-.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (/.f64 (*.f64 x (+.f64 x (/.f64 x y))) y) (/.f64 (*.f64 x (+.f64 x (/.f64 x y))) y)))) (-.f64 (*.f64 x x) (/.f64 (*.f64 x (+.f64 x (/.f64 x y))) y)) (neg.f64 (/.f64 (*.f64 x (*.f64 x x)) (*.f64 (+.f64 (*.f64 x x) (/.f64 (*.f64 x (+.f64 x (/.f64 x y))) y)) (*.f64 y (*.f64 y y))))))
(fma.f64 (/.f64 (*.f64 x x) (*.f64 x (-.f64 x (/.f64 x (*.f64 y y))))) (-.f64 x (/.f64 x y)) (neg.f64 (/.f64 (/.f64 x (/.f64 (*.f64 y y) x)) (+.f64 x (/.f64 x y)))))
(fma.f64 (/.f64 (*.f64 x x) (+.f64 (*.f64 x (*.f64 x x)) (/.f64 x (*.f64 (/.f64 (/.f64 (*.f64 y y) x) x) y)))) (+.f64 (*.f64 x x) (/.f64 (-.f64 (/.f64 x y) x) (/.f64 y x))) (neg.f64 (/.f64 (/.f64 x (/.f64 (*.f64 y y) x)) (+.f64 x (/.f64 x y)))))
(neg.f64 (/.f64 (-.f64 (*.f64 x (*.f64 x x)) (/.f64 x (*.f64 (/.f64 (/.f64 (*.f64 y y) x) x) y))) (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 x x) (/.f64 (*.f64 x (+.f64 x (/.f64 x y))) y)))))
(neg.f64 (/.f64 (*.f64 x (-.f64 x (/.f64 x (*.f64 y y)))) (-.f64 #s(literal 0 binary64) (+.f64 x (/.f64 x y)))))
(neg.f64 (/.f64 (+.f64 (neg.f64 (*.f64 x (*.f64 x x))) (/.f64 x (*.f64 (/.f64 (/.f64 (*.f64 y y) x) x) y))) (+.f64 (*.f64 x x) (/.f64 (*.f64 x (+.f64 x (/.f64 x y))) y))))
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (-.f64 x (/.f64 x (*.f64 y y))))) (+.f64 x (/.f64 x y))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 x (/.f64 x y))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 x (/.f64 x y))) #s(literal 1 binary64)))
(/.f64 (-.f64 (*.f64 x (*.f64 x x)) (/.f64 x (*.f64 (/.f64 (/.f64 (*.f64 y y) x) x) y))) (+.f64 (*.f64 x x) (/.f64 (*.f64 x (+.f64 x (/.f64 x y))) y)))
(/.f64 (-.f64 (*.f64 x (*.f64 x x)) (/.f64 x (*.f64 (/.f64 (/.f64 (*.f64 y y) x) x) y))) (+.f64 (/.f64 x (/.f64 (*.f64 y y) x)) (-.f64 (*.f64 x x) (/.f64 x (-.f64 #s(literal 0 binary64) (/.f64 y x))))))
(/.f64 (*.f64 x (-.f64 x (/.f64 x (*.f64 y y)))) (+.f64 x (/.f64 x y)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (-.f64 x (/.f64 x y)))))
(/.f64 (+.f64 (neg.f64 (*.f64 x (*.f64 x x))) (/.f64 x (*.f64 (/.f64 (/.f64 (*.f64 y y) x) x) y))) (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 x x) (/.f64 (*.f64 x (+.f64 x (/.f64 x y))) y))))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (-.f64 x (/.f64 x (*.f64 y y))))) (-.f64 #s(literal 0 binary64) (+.f64 x (/.f64 x y))))
(/.f64 (-.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) (/.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 (*.f64 x x) (/.f64 (*.f64 x (+.f64 x (/.f64 x y))) y)) (+.f64 (*.f64 (/.f64 x (*.f64 (/.f64 (/.f64 (*.f64 y y) x) x) y)) (+.f64 (*.f64 x (*.f64 x x)) (/.f64 x (*.f64 (/.f64 (/.f64 (*.f64 y y) x) x) y)))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))))
(/.f64 (*.f64 (*.f64 x (+.f64 x (/.f64 x (*.f64 y y)))) (*.f64 x (-.f64 x (/.f64 x (*.f64 y y))))) (*.f64 (+.f64 x (/.f64 x y)) (*.f64 x (+.f64 x (/.f64 x (*.f64 y y))))))
(/.f64 (-.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (/.f64 (/.f64 x (*.f64 (/.f64 (/.f64 (*.f64 y y) x) x) y)) (/.f64 (*.f64 y (*.f64 y y)) (*.f64 x (*.f64 x x))))) (*.f64 (+.f64 (*.f64 x x) (/.f64 (*.f64 x (+.f64 x (/.f64 x y))) y)) (+.f64 (*.f64 x (*.f64 x x)) (/.f64 x (*.f64 (/.f64 (/.f64 (*.f64 y y) x) x) y)))))
(/.f64 (-.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (/.f64 (/.f64 x (*.f64 (/.f64 (/.f64 (*.f64 y y) x) x) y)) (/.f64 (*.f64 y (*.f64 y y)) (*.f64 x (*.f64 x x))))) (*.f64 (+.f64 x (/.f64 x y)) (+.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (/.f64 x (/.f64 (*.f64 y y) x)) (*.f64 x (+.f64 x (/.f64 x (*.f64 y y))))))))
(/.f64 (-.f64 (*.f64 (*.f64 x (*.f64 x x)) (+.f64 (*.f64 x x) (/.f64 (*.f64 x (+.f64 x (/.f64 x y))) y))) (*.f64 (+.f64 (*.f64 x x) (/.f64 (*.f64 x (+.f64 x (/.f64 x y))) y)) (/.f64 x (*.f64 (/.f64 (/.f64 (*.f64 y y) x) x) y)))) (*.f64 (+.f64 (*.f64 x x) (/.f64 (*.f64 x (+.f64 x (/.f64 x y))) y)) (+.f64 (*.f64 x x) (/.f64 (*.f64 x (+.f64 x (/.f64 x y))) y))))
(/.f64 (-.f64 (*.f64 (*.f64 x x) (+.f64 x (/.f64 x y))) (*.f64 (+.f64 x (/.f64 x y)) (/.f64 x (/.f64 (*.f64 y y) x)))) (*.f64 (+.f64 x (/.f64 x y)) (+.f64 x (/.f64 x y))))
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) (/.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)))))) #s(literal 1 binary64)) (*.f64 (+.f64 (*.f64 (/.f64 x (*.f64 (/.f64 (/.f64 (*.f64 y y) x) x) y)) (+.f64 (*.f64 x (*.f64 x x)) (/.f64 x (*.f64 (/.f64 (/.f64 (*.f64 y y) x) x) y)))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) (+.f64 (*.f64 x x) (/.f64 (*.f64 x (+.f64 x (/.f64 x y))) y))))
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (/.f64 (/.f64 x (*.f64 (/.f64 (/.f64 (*.f64 y y) x) x) y)) (/.f64 (*.f64 y (*.f64 y y)) (*.f64 x (*.f64 x x))))) #s(literal 1 binary64)) (*.f64 (+.f64 (*.f64 x (*.f64 x x)) (/.f64 x (*.f64 (/.f64 (/.f64 (*.f64 y y) x) x) y))) (+.f64 (*.f64 x x) (/.f64 (*.f64 x (+.f64 x (/.f64 x y))) y))))
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (/.f64 (/.f64 x (*.f64 (/.f64 (/.f64 (*.f64 y y) x) x) y)) (/.f64 (*.f64 y (*.f64 y y)) (*.f64 x (*.f64 x x))))) #s(literal 1 binary64)) (*.f64 (+.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (/.f64 x (/.f64 (*.f64 y y) x)) (*.f64 x (+.f64 x (/.f64 x (*.f64 y y)))))) (+.f64 x (/.f64 x y))))
(/.f64 (*.f64 (*.f64 (*.f64 x (+.f64 x (/.f64 x (*.f64 y y)))) (*.f64 x (-.f64 x (/.f64 x (*.f64 y y))))) #s(literal 1 binary64)) (*.f64 (*.f64 x (+.f64 x (/.f64 x (*.f64 y y)))) (+.f64 x (/.f64 x y))))
(/.f64 (*.f64 (*.f64 x (-.f64 x (/.f64 x (*.f64 y y)))) #s(literal 1 binary64)) (+.f64 x (/.f64 x y)))
(/.f64 (neg.f64 (+.f64 (neg.f64 (*.f64 x (*.f64 x x))) (/.f64 x (*.f64 (/.f64 (/.f64 (*.f64 y y) x) x) y)))) (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 x x) (/.f64 (*.f64 x (+.f64 x (/.f64 x y))) y)))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (-.f64 x (/.f64 x (*.f64 y y)))))) (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 x (/.f64 x y)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 x (*.f64 x x)) (+.f64 (*.f64 x x) (/.f64 (*.f64 x (+.f64 x (/.f64 x y))) y))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 x (*.f64 x x)) (*.f64 (+.f64 (*.f64 x x) (/.f64 (*.f64 x (+.f64 x (/.f64 x y))) y)) (*.f64 y (*.f64 y y)))) #s(literal 3 binary64))) (+.f64 (*.f64 (/.f64 (*.f64 x (*.f64 x x)) (+.f64 (*.f64 x x) (/.f64 (*.f64 x (+.f64 x (/.f64 x y))) y))) (/.f64 (*.f64 x (*.f64 x x)) (+.f64 (*.f64 x x) (/.f64 (*.f64 x (+.f64 x (/.f64 x y))) y)))) (+.f64 (*.f64 (/.f64 (*.f64 x (*.f64 x x)) (*.f64 (+.f64 (*.f64 x x) (/.f64 (*.f64 x (+.f64 x (/.f64 x y))) y)) (*.f64 y (*.f64 y y)))) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 (+.f64 (*.f64 x x) (/.f64 (*.f64 x (+.f64 x (/.f64 x y))) y)) (*.f64 y (*.f64 y y))))) (*.f64 (/.f64 (*.f64 x (*.f64 x x)) (+.f64 (*.f64 x x) (/.f64 (*.f64 x (+.f64 x (/.f64 x y))) y))) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 (+.f64 (*.f64 x x) (/.f64 (*.f64 x (+.f64 x (/.f64 x y))) y)) (*.f64 y (*.f64 y y))))))))
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(/.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 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) (*.f64 y y))))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y))) (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 y #s(literal -1 binary64)))))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y))) (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 y #s(literal -1 binary64)))))))
(/.f64 (+.f64 (*.f64 y y) #s(literal -1 binary64)) (+.f64 y #s(literal -1 binary64)))
(/.f64 (+.f64 (*.f64 y y) #s(literal -1 binary64)) (neg.f64 (-.f64 #s(literal 1 binary64) y)))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) y)))
(/.f64 (+.f64 #s(literal -1 binary64) (*.f64 #s(literal -1 binary64) (*.f64 y (*.f64 y y)))) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 y #s(literal -1 binary64))))))
(/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 y y)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) y))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 y #s(literal -1 binary64)))) (+.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))) (-.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y))))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (-.f64 #s(literal 1 binary64) y))
(/.f64 (+.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))) #s(literal -1 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 y #s(literal -1 binary64)))) (+.f64 (*.f64 y (*.f64 y y)) #s(literal -1 binary64))))
(/.f64 (+.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))) #s(literal -1 binary64)) (*.f64 (+.f64 y #s(literal -1 binary64)) (+.f64 (*.f64 y (*.f64 y (*.f64 y y))) (+.f64 #s(literal 1 binary64) (*.f64 y y)))))
(/.f64 (+.f64 (*.f64 y (*.f64 y (*.f64 y y))) #s(literal -1 binary64)) (*.f64 (+.f64 y #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 y y))))
(/.f64 (-.f64 (*.f64 (*.f64 y y) (+.f64 y #s(literal -1 binary64))) (*.f64 (+.f64 y #s(literal -1 binary64)) #s(literal 1 binary64))) (*.f64 (+.f64 y #s(literal -1 binary64)) (+.f64 y #s(literal -1 binary64))))
(/.f64 (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 #s(literal -1 binary64) (*.f64 y (*.f64 y y)))) #s(literal 1 binary64)) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 y #s(literal -1 binary64))))))
(/.f64 (*.f64 (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 y y)) #s(literal 1 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) y))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) y))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))))) #s(literal 1 binary64)) (*.f64 (+.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))) (-.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y)))) (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 y #s(literal -1 binary64))))))
(/.f64 (*.f64 (+.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))) #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 (+.f64 (*.f64 y (*.f64 y y)) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 y #s(literal -1 binary64))))))
(/.f64 (*.f64 (+.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))) #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 (+.f64 (*.f64 y (*.f64 y (*.f64 y y))) (+.f64 #s(literal 1 binary64) (*.f64 y y))) (+.f64 y #s(literal -1 binary64))))
(/.f64 (*.f64 (+.f64 (*.f64 y (*.f64 y (*.f64 y y))) #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 y y)) (+.f64 y #s(literal -1 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y))) (neg.f64 (-.f64 #s(literal 1 binary64) y)))
(/.f64 (neg.f64 (+.f64 #s(literal -1 binary64) (*.f64 #s(literal -1 binary64) (*.f64 y (*.f64 y y))))) (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 y #s(literal -1 binary64)))))
(/.f64 (neg.f64 (+.f64 #s(literal -1 binary64) (*.f64 #s(literal -1 binary64) (*.f64 y (*.f64 y y))))) (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 y #s(literal -1 binary64)))))))
(/.f64 (neg.f64 (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 y y)) #s(literal 1 binary64))) (+.f64 y #s(literal -1 binary64)))
(/.f64 (neg.f64 (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 y y)) #s(literal 1 binary64))) (neg.f64 (-.f64 #s(literal 1 binary64) y)))
(/.f64 (-.f64 (pow.f64 (*.f64 y (/.f64 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 y (/.f64 y (+.f64 y #s(literal -1 binary64)))) (*.f64 y (/.f64 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 y (/.f64 y (+.f64 y #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64)))))))
(/.f64 (-.f64 (*.f64 (*.f64 y (/.f64 y (+.f64 y #s(literal -1 binary64)))) (*.f64 y (/.f64 y (+.f64 y #s(literal -1 binary64))))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64))))) (+.f64 (*.f64 y (/.f64 y (+.f64 y #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64)))))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 y #s(literal -1 binary64)))))) (+.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))) (-.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y)))))
(/.f64 (*.f64 (+.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 y #s(literal -1 binary64)))))) (+.f64 (*.f64 y (*.f64 y y)) #s(literal -1 binary64)))
(/.f64 (*.f64 (+.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64)))) (+.f64 (*.f64 y (*.f64 y (*.f64 y y))) (+.f64 #s(literal 1 binary64) (*.f64 y y))))
(/.f64 (*.f64 (+.f64 (*.f64 y (*.f64 y (*.f64 y y))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 y y)))
(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 y #s(literal 1 binary64)) #s(literal 1 binary64))
(*.f64 (+.f64 y #s(literal 1 binary64)) (/.f64 (+.f64 y #s(literal -1 binary64)) (+.f64 y #s(literal -1 binary64))))
(*.f64 (+.f64 y #s(literal 1 binary64)) (*.f64 (+.f64 y #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64)))))
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 y #s(literal -1 binary64))))))
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 y #s(literal -1 binary64))))) #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 (*.f64 y y) #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 #s(literal -1 binary64) y))
(*.f64 (+.f64 #s(literal -1 binary64) (*.f64 #s(literal -1 binary64) (*.f64 y (*.f64 y y)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 y #s(literal -1 binary64)))))))
(*.f64 (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 y y)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y)))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64))) (+.f64 (*.f64 y y) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 y #s(literal -1 binary64))))) (+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y))))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y)))
(*.f64 (/.f64 (+.f64 (*.f64 y y) #s(literal -1 binary64)) (+.f64 (*.f64 y y) #s(literal -1 binary64))) (+.f64 y #s(literal 1 binary64)))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (-.f64 #s(literal 1 binary64) (*.f64 y y))) (+.f64 y #s(literal 1 binary64)))
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y))) (+.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))) (*.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) y))))) (+.f64 (*.f64 y (*.f64 y (*.f64 y y))) (*.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y y)))))
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 y #s(literal -1 binary64)))) (+.f64 (+.f64 (*.f64 y y) #s(literal -1 binary64)) y))) (+.f64 (+.f64 (*.f64 y y) #s(literal -1 binary64)) y))
(*.f64 (/.f64 (+.f64 (*.f64 y y) #s(literal -1 binary64)) (+.f64 (*.f64 y (*.f64 y y)) #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 y #s(literal 1 binary64)))))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (-.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y)))) (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 y #s(literal 1 binary64)))))

simplify198.0ms (6.7%)

Algorithm
egg-herbie
Rules
2450×*-lowering-*.f32
2450×*-lowering-*.f64
1754×fnmadd-define
1504×fmsub-define
1462×+-lowering-+.f64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
053549
1162516
2390496
31762483
08392483
Stop Event
iter limit
node limit
Counts
120 → 120
Calls
Call 1
Inputs
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x (- 1 (/ 1 y)))
(* x (- 1 (/ 1 y)))
(* x (- 1 (/ 1 y)))
(* x (- 1 (/ 1 y)))
(* x (- 1 (/ 1 y)))
(* x (- 1 (/ 1 y)))
(* x (- 1 (/ 1 y)))
(* x (- 1 (/ 1 y)))
(* -1 (* x (- (/ 1 y) 1)))
(* -1 (* x (- (/ 1 y) 1)))
(* -1 (* x (- (/ 1 y) 1)))
(* -1 (* x (- (/ 1 y) 1)))
(* -1 (/ x y))
(/ (- (* x y) x) y)
(/ (- (* x y) x) y)
(/ (- (* x y) x) y)
x
(+ x (* -1 (/ x y)))
(+ x (* -1 (/ x y)))
(+ x (* -1 (/ x y)))
x
(+ x (* -1 (/ x y)))
(+ x (* -1 (/ x y)))
(+ x (* -1 (/ x y)))
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ (* x y) (+ 1 y))
(/ (* x y) (+ 1 y))
(/ (* x y) (+ 1 y))
(/ (* x y) (+ 1 y))
(/ (* x y) (+ 1 y))
(/ (* x y) (+ 1 y))
(/ (* x y) (+ 1 y))
(/ (* x y) (+ 1 y))
(/ (* x y) (+ 1 y))
(/ (* x y) (+ 1 y))
(/ (* x y) (+ 1 y))
(/ (* x y) (+ 1 y))
(* x y)
(* y (+ x (* -1 (* x y))))
(* y (+ x (* y (- (* x y) x))))
(* y (+ x (* y (- (* y (- (* -1 (* x y)) (* -1 x))) x))))
x
(+ x (* -1 (/ x y)))
(- (+ x (/ x (pow y 2))) (/ x y))
(- (+ x (* -1 (/ x (pow y 3)))) (+ (* -1 (/ x (pow y 2))) (/ x y)))
x
(+ x (* -1 (/ x y)))
(+ x (* -1 (/ (+ x (* -1 (/ x y))) y)))
(+ x (* -1 (/ (+ x (* -1 (/ (+ x (* -1 (/ x y))) y))) y)))
(/ 1 y)
(/ (+ 1 y) y)
(/ (+ 1 y) y)
(/ (+ 1 y) y)
1
(+ 1 (/ 1 y))
(+ 1 (/ 1 y))
(+ 1 (/ 1 y))
1
(+ 1 (/ 1 y))
(+ 1 (/ 1 y))
(+ 1 (/ 1 y))
1
(+ 1 y)
(+ 1 y)
(+ 1 y)
y
(* y (+ 1 (/ 1 y)))
(* y (+ 1 (/ 1 y)))
(* y (+ 1 (/ 1 y)))
y
(* y (+ 1 (/ 1 y)))
(* y (+ 1 (/ 1 y)))
(* y (+ 1 (/ 1 y)))
Outputs
(* 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)
(* x (- 1 (/ 1 y)))
(-.f64 x (/.f64 x y))
(* x (- 1 (/ 1 y)))
(-.f64 x (/.f64 x y))
(* x (- 1 (/ 1 y)))
(-.f64 x (/.f64 x y))
(* x (- 1 (/ 1 y)))
(-.f64 x (/.f64 x y))
(* x (- 1 (/ 1 y)))
(-.f64 x (/.f64 x y))
(* x (- 1 (/ 1 y)))
(-.f64 x (/.f64 x y))
(* x (- 1 (/ 1 y)))
(-.f64 x (/.f64 x y))
(* x (- 1 (/ 1 y)))
(-.f64 x (/.f64 x y))
(* -1 (* x (- (/ 1 y) 1)))
(-.f64 x (/.f64 x y))
(* -1 (* x (- (/ 1 y) 1)))
(-.f64 x (/.f64 x y))
(* -1 (* x (- (/ 1 y) 1)))
(-.f64 x (/.f64 x y))
(* -1 (* x (- (/ 1 y) 1)))
(-.f64 x (/.f64 x y))
(* -1 (/ x y))
(-.f64 #s(literal 0 binary64) (/.f64 x y))
(/ (- (* x y) x) y)
(-.f64 x (/.f64 x y))
(/ (- (* x y) x) y)
(-.f64 x (/.f64 x y))
(/ (- (* x y) x) y)
(-.f64 x (/.f64 x y))
x
(+ x (* -1 (/ x y)))
(-.f64 x (/.f64 x y))
(+ x (* -1 (/ x y)))
(-.f64 x (/.f64 x y))
(+ x (* -1 (/ x y)))
(-.f64 x (/.f64 x y))
x
(+ x (* -1 (/ x y)))
(-.f64 x (/.f64 x y))
(+ x (* -1 (/ x y)))
(-.f64 x (/.f64 x y))
(+ x (* -1 (/ x y)))
(-.f64 x (/.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)
(/ x y)
(/.f64 x y)
(/ (* x y) (+ 1 y))
(/.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)))
(/ (* x y) (+ 1 y))
(/.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)))
(/ (* x y) (+ 1 y))
(/.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)))
(/ (* x y) (+ 1 y))
(/.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)))
(/ (* x y) (+ 1 y))
(/.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)))
(/ (* x y) (+ 1 y))
(/.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)))
(/ (* x y) (+ 1 y))
(/.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)))
(/ (* x y) (+ 1 y))
(/.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)))
(/ (* x y) (+ 1 y))
(/.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)))
(/ (* x y) (+ 1 y))
(/.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)))
(/ (* x y) (+ 1 y))
(/.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)))
(/ (* x y) (+ 1 y))
(/.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)))
(* x y)
(*.f64 x y)
(* y (+ x (* -1 (* x y))))
(*.f64 (*.f64 x y) (-.f64 #s(literal 1 binary64) y))
(* y (+ x (* y (- (* x y) x))))
(*.f64 y (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 y #s(literal -1 binary64)) y))))
(* y (+ x (* y (- (* y (- (* -1 (* x y)) (* -1 x))) x))))
(*.f64 y (*.f64 (+.f64 (*.f64 y y) #s(literal 1 binary64)) (*.f64 x (-.f64 #s(literal 1 binary64) y))))
x
(+ x (* -1 (/ x y)))
(-.f64 x (/.f64 x y))
(- (+ x (/ x (pow y 2))) (/ x y))
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) y)))
(- (+ x (* -1 (/ x (pow y 3)))) (+ (* -1 (/ x (pow y 2))) (/ x y)))
(*.f64 (-.f64 (/.f64 x y) x) (-.f64 (/.f64 #s(literal -1 binary64) (*.f64 y y)) #s(literal 1 binary64)))
x
(+ x (* -1 (/ x y)))
(-.f64 x (/.f64 x y))
(+ x (* -1 (/ (+ x (* -1 (/ x y))) y)))
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) y)))
(+ x (* -1 (/ (+ x (* -1 (/ (+ x (* -1 (/ x y))) y))) y)))
(*.f64 (-.f64 (/.f64 x y) x) (-.f64 (/.f64 #s(literal -1 binary64) (*.f64 y y)) #s(literal 1 binary64)))
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ (+ 1 y) y)
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y))
(/ (+ 1 y) y)
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y))
(/ (+ 1 y) y)
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y))
1
#s(literal 1 binary64)
(+ 1 (/ 1 y))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y))
(+ 1 (/ 1 y))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y))
(+ 1 (/ 1 y))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y))
1
#s(literal 1 binary64)
(+ 1 (/ 1 y))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y))
(+ 1 (/ 1 y))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y))
(+ 1 (/ 1 y))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y))
1
#s(literal 1 binary64)
(+ 1 y)
(+.f64 y #s(literal 1 binary64))
(+ 1 y)
(+.f64 y #s(literal 1 binary64))
(+ 1 y)
(+.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
(* 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))

eval67.0ms (2.3%)

Compiler

Compiled 8296 to 1050 computations (87.3% saved)

prune47.0ms (1.6%)

Pruning

4 alts after pruning (0 fresh and 4 done)

PrunedKeptTotal
New4820482
Fresh000
Picked044
Done000
Total4824486
Accuracy
100.0%
Counts
486 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.8%
(/.f64 x (/.f64 (+.f64 y #s(literal 1 binary64)) y))
47.5%
(-.f64 x (/.f64 x y))
54.8%
(*.f64 x y)
48.5%
x
Compiler

Compiled 56 to 27 computations (51.8% saved)

regimes8.0ms (0.3%)

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

3 calls:

3.0ms
y
3.0ms
x
2.0ms
(/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64)))
Results
AccuracySegmentsBranch
100.0%1x
100.0%1y
100.0%1(/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64)))
Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes40.0ms (1.3%)

Counts
3 → 3
Calls
Call 1
Inputs
x
(*.f64 x y)
(-.f64 x (/.f64 x y))
Outputs
(-.f64 x (/.f64 x y))
(*.f64 x y)
(-.f64 x (/.f64 x y))
Calls

2 calls:

38.0ms
y
2.0ms
x
Results
AccuracySegmentsBranch
60.5%4x
99.5%3y
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes2.0ms (0.1%)

Counts
2 → 3
Calls
Call 1
Inputs
x
(*.f64 x y)
Outputs
x
(*.f64 x y)
x
Calls

1 calls:

2.0ms
y
Results
AccuracySegmentsBranch
99.2%3y
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
x
Outputs
x
Calls

2 calls:

1.0ms
x
1.0ms
y
Results
AccuracySegmentsBranch
48.5%1x
48.5%1y
Compiler

Compiled 6 to 4 computations (33.3% saved)

bsearch29.0ms (1%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
14.0ms
9.155870351360764e-8
69864.69807878941
13.0ms
-3298117709.0384674
-1.193854885095613e-9
Results
17.0ms320×0valid
Compiler

Compiled 294 to 190 computations (35.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 9.0ms
ival-mult: 5.0ms (55.7% of total)
ival-div: 2.0ms (22.3% of total)
ival-add: 2.0ms (22.3% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch31.0ms (1%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
12.0ms
9.155870351360764e-8
69864.69807878941
16.0ms
-3298117709.0384674
-1.193854885095613e-9
Results
15.0ms320×0valid
Compiler

Compiled 214 to 150 computations (29.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 7.0ms
ival-mult: 3.0ms (42.1% of total)
ival-div: 2.0ms (28% of total)
ival-add: 2.0ms (28% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

simplify13.0ms (0.4%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
01838
13238
23938
34538
45038
55238
Stop Event
saturated
Calls
Call 1
Inputs
(*.f64 x (/.f64 y (+.f64 y #s(literal 1 binary64))))
(if (<=.f64 y #s(literal -1 binary64)) (-.f64 x (/.f64 x y)) (if (<=.f64 y #s(literal 3039929748475085/2251799813685248 binary64)) (*.f64 x y) (-.f64 x (/.f64 x y))))
(if (<=.f64 y #s(literal -1 binary64)) x (if (<=.f64 y #s(literal 1 binary64)) (*.f64 x y) x))
x
Outputs
(*.f64 x (/.f64 y (+.f64 y #s(literal 1 binary64))))
(if (<=.f64 y #s(literal -1 binary64)) (-.f64 x (/.f64 x y)) (if (<=.f64 y #s(literal 3039929748475085/2251799813685248 binary64)) (*.f64 x y) (-.f64 x (/.f64 x y))))
(if (<=.f64 y #s(literal -1 binary64)) x (if (<=.f64 y #s(literal 1 binary64)) (*.f64 x y) x))
x

soundness401.0ms (13.5%)

Rules
1694×*-lowering-*.f32
1694×*-lowering-*.f64
1512×fnmadd-define
1464×+-lowering-+.f64
1464×+-lowering-+.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
067
1127
2157
3167
0167
070575
1221547
2531526
31941488
47882488
08279488
Stop Event
done
iter limit
node limit
iter limit
saturated
Compiler

Compiled 121 to 68 computations (43.8% saved)

preprocess70.0ms (2.4%)

Remove

(negabs x)

Compiler

Compiled 220 to 106 computations (51.8% saved)

end0.0ms (0%)

Profiling

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