Linear.Projection:inversePerspective from linear-1.19.1.3, C

Time bar (total: 7.1s)

analyze20.0ms (0.3%)

Memory
2.4MiB live, 42.0MiB allocated
Algorithm
1×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
25%25%74.9%0.1%0%0%0%3
37.5%37.5%62.4%0.1%0%0%0%4
56.3%56.2%43.7%0.1%0%0%0%5
65.6%65.6%34.3%0.1%0%0%0%6
76.6%76.5%23.4%0.1%0%0%0%7
82%82%18%0.1%0%0%0%8
87.9%87.8%12.1%0.1%0%0%0%9
90.8%90.7%9.2%0.1%0%0%0%10
93.8%93.8%6.1%0.1%0%0%0%11
95.4%95.3%4.6%0.1%0%0%0%12
Compiler

Compiled 11 to 9 computations (18.2% saved)

sample868.0ms (12.2%)

Memory
19.2MiB live, 1 261.1MiB allocated
Samples
573.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 395.0ms
ival-add: 211.0ms (53.5% of total)
ival-mult: 108.0ms (27.4% of total)
ival-div: 61.0ms (15.5% of total)
ival-true: 6.0ms (1.5% of total)
exact: 5.0ms (1.3% of total)
ival-assert: 3.0ms (0.8% of total)
Bogosity

preprocess52.0ms (0.7%)

Memory
-12.0MiB live, 26.2MiB allocated
Algorithm
2×egg-herbie
Rules
1 744×div-sub
832×distribute-rgt-in
832×distribute-lft-in
620×sub-neg
502×unsub-neg
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02260
16754
221354
385554
4282646
5635746
079
1149
2289
3429
4439
0439
Stop Event
1×iter limit
1×saturated
1×node limit
Calls
Call 1
Inputs
(/ (+ x y) (* (* x 2) y))
Outputs
(/ (+ x y) (* (* x 2) y))
(/.f64 (+.f64 x y) (*.f64 #s(literal 2 binary64) (*.f64 x y)))
Call 2
Inputs
(/ (+ x y) (* (* x 2) y))
(/ (+ (neg x) y) (* (* (neg x) 2) y))
(/ (+ x (neg y)) (* (* x 2) (neg y)))
(neg (/ (+ (neg x) y) (* (* (neg x) 2) y)))
(neg (/ (+ x (neg y)) (* (* x 2) (neg y))))
(/ (+ y x) (* (* y 2) x))
Outputs
(/ (+ x y) (* (* x 2) y))
(/ (/ (+ (/ x y) 1) 2) x)
(/ (+ (neg x) y) (* (* (neg x) 2) y))
(+ (/ 1/2 y) (/ -1/2 x))
(/ (+ x (neg y)) (* (* x 2) (neg y)))
(+ (/ -1/2 y) (/ 1/2 x))
(neg (/ (+ (neg x) y) (* (* (neg x) 2) y)))
(+ (/ -1/2 y) (/ 1/2 x))
(neg (/ (+ x (neg y)) (* (* x 2) (neg y))))
(+ (/ 1/2 y) (/ -1/2 x))
(/ (+ y x) (* (* y 2) x))
(/ (/ (+ (/ x y) 1) 2) x)
Symmetry

(sort x y)

explain80.0ms (1.1%)

Memory
20.0MiB live, 139.2MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
590-1(-3.390792039210329e-135 -6.872997043532728e-185)(/.f64 (+.f64 x y) (*.f64 (*.f64 x #s(literal 2 binary64)) y))
00-0-(*.f64 x #s(literal 2 binary64))
00-0-#s(literal 2 binary64)
00-0-y
00-0-(+.f64 x y)
00-0-(*.f64 (*.f64 x #s(literal 2 binary64)) y)
00-0-x
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
/.f64(/.f64 (+.f64 x y) (*.f64 (*.f64 x #s(literal 2 binary64)) y))n/o320
↳(*.f64 (*.f64 x #s(literal 2 binary64)) y)overflow32
/.f64(/.f64 (+.f64 x y) (*.f64 (*.f64 x #s(literal 2 binary64)) y))n/u260
↳(*.f64 (*.f64 x #s(literal 2 binary64)) y)underflow26
Confusion
Predicted +Predicted -
+581
-0197
Precision
1.0
Recall
0.9830508474576272
Confusion?
Predicted +Predicted MaybePredicted -
+5801
-00197
Precision?
1.0
Recall?
0.9830508474576272
Freqs
test
numberfreq
0198
158
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
34.0ms512×0valid
Compiler

Compiled 72 to 32 computations (55.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 18.0ms
ival-mult: 8.0ms (43.8% of total)
ival-div: 7.0ms (38.4% of total)
ival-add: 3.0ms (16.4% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

eval3.0ms (0%)

Memory
-35.7MiB live, 0.4MiB allocated
Compiler

Compiled 2 to 2 computations (0% saved)

prune1.0ms (0%)

Memory
1.6MiB live, 1.6MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶78.2%
(/.f64 (+.f64 x y) (*.f64 (*.f64 x #s(literal 2 binary64)) y))
Compiler

Compiled 11 to 7 computations (36.4% saved)

simplify5.0ms (0.1%)

Memory
8.4MiB live, 8.4MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(*.f64 x #s(literal 2 binary64))
✓cost-diff0
(*.f64 (*.f64 x #s(literal 2 binary64)) y)
✓cost-diff0
(+.f64 x y)
✓cost-diff0
(/.f64 (+.f64 x y) (*.f64 (*.f64 x #s(literal 2 binary64)) y))
Rules
38×/-lowering-/.f32
38×/-lowering-/.f64
30×associate-/r*
24×*-lowering-*.f32
24×*-lowering-*.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0723
11423
22823
34223
44323
04323
Stop Event
1×iter limit
1×saturated
Calls
Call 1
Inputs
(/ (+ x y) (* (* x 2) y))
(+ x y)
x
y
(* (* x 2) y)
(* x 2)
2
Outputs
(/ (+ x y) (* (* x 2) y))
(/.f64 (+.f64 x y) (*.f64 #s(literal 2 binary64) (*.f64 x y)))
(+ x y)
(+.f64 x y)
x
y
(* (* x 2) y)
(*.f64 #s(literal 2 binary64) (*.f64 x y))
(* x 2)
(*.f64 x #s(literal 2 binary64))
2
#s(literal 2 binary64)

localize23.0ms (0.3%)

Memory
14.4MiB live, 51.5MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(+.f64 x y)
✓accuracy100.0%
(*.f64 (*.f64 x #s(literal 2 binary64)) y)
✓accuracy100.0%
(*.f64 x #s(literal 2 binary64))
✓accuracy78.2%
(/.f64 (+.f64 x y) (*.f64 (*.f64 x #s(literal 2 binary64)) y))
Samples
16.0ms256×0valid
Compiler

Compiled 25 to 9 computations (64% saved)

Precisions
Click to see histograms. Total time spent on operations: 9.0ms
ival-div: 4.0ms (45.1% of total)
ival-mult: 3.0ms (33.8% of total)
ival-add: 2.0ms (22.6% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series11.0ms (0.2%)

Memory
-14.4MiB live, 24.4MiB allocated
Counts
4 → 84
Calls
Call 1
Inputs
#<alt (/ (+ x y) (* (* x 2) y))>
#<alt (+ x y)>
#<alt (* (* x 2) y)>
#<alt (* x 2)>
Outputs
#<alt (/ 1/2 x)>
#<alt (/ (+ 1/2 (* 1/2 (/ x y))) x)>
#<alt (/ (+ 1/2 (* 1/2 (/ x y))) x)>
#<alt (/ (+ 1/2 (* 1/2 (/ x y))) x)>
#<alt (/ 1/2 y)>
#<alt (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y)))>
#<alt (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y)))>
#<alt (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y)))>
#<alt (/ 1/2 y)>
#<alt (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y)))>
#<alt (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y)))>
#<alt (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y)))>
#<alt (/ 1/2 y)>
#<alt (/ (+ 1/2 (* 1/2 (/ y x))) y)>
#<alt (/ (+ 1/2 (* 1/2 (/ y x))) y)>
#<alt (/ (+ 1/2 (* 1/2 (/ y x))) y)>
#<alt (/ 1/2 x)>
#<alt (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y)))>
#<alt (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y)))>
#<alt (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y)))>
#<alt (/ 1/2 x)>
#<alt (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y)))>
#<alt (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y)))>
#<alt (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 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 (* 2 (* x y))>
#<alt (* 2 (* x y))>
#<alt (* 2 (* x y))>
#<alt (* 2 (* x y))>
#<alt (* 2 (* x y))>
#<alt (* 2 (* x y))>
#<alt (* 2 (* x y))>
#<alt (* 2 (* x y))>
#<alt (* 2 (* x y))>
#<alt (* 2 (* x y))>
#<alt (* 2 (* x y))>
#<alt (* 2 (* x y))>
#<alt (* 2 (* x y))>
#<alt (* 2 (* x y))>
#<alt (* 2 (* x y))>
#<alt (* 2 (* x y))>
#<alt (* 2 (* x y))>
#<alt (* 2 (* x y))>
#<alt (* 2 (* x y))>
#<alt (* 2 (* x y))>
#<alt (* 2 (* x y))>
#<alt (* 2 (* x y))>
#<alt (* 2 (* x y))>
#<alt (* 2 (* x y))>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
Calls

21 calls:

TimeVariablePointExpression
2.0ms
y
@-inf
(* (* x 2) y)
1.0ms
x
@-inf
(* x 2)
1.0ms
y
@inf
(/ (+ x y) (* (* x 2) y))
1.0ms
x
@inf
(/ (+ x y) (* (* x 2) y))
1.0ms
x
@-inf
(/ (+ x y) (* (* x 2) y))

rewrite402.0ms (5.6%)

Memory
14.5MiB live, 571.7MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
5 768×/-lowering-/.f32
5 768×/-lowering-/.f64
4 196×*-lowering-*.f32
4 196×*-lowering-*.f64
1 822×frac-2neg
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0720
13520
224720
3291120
0883120
Stop Event
1×iter limit
1×node limit
Counts
4 → 590
Calls
Call 1
Inputs
(/ (+ x y) (* (* x 2) y))
(+ x y)
(* (* x 2) y)
(* x 2)
Outputs
(+.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x y)) x) (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x y)) y))
(+.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x y)) y) (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x y)) x))
(+.f64 (*.f64 x (/.f64 #s(literal 1/2 binary64) (*.f64 x y))) (*.f64 y (/.f64 #s(literal 1/2 binary64) (*.f64 x y))))
(+.f64 (*.f64 y (/.f64 #s(literal 1/2 binary64) (*.f64 x y))) (*.f64 x (/.f64 #s(literal 1/2 binary64) (*.f64 x y))))
(exp.f64 (*.f64 (log.f64 (*.f64 x (*.f64 #s(literal 2 binary64) (/.f64 y (+.f64 x y))))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 (+.f64 x y) (*.f64 (*.f64 x y) #s(literal -2 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (*.f64 x y) #s(literal -2 binary64))) (/.f64 (+.f64 x y) (*.f64 (*.f64 x y) #s(literal -2 binary64))))
(-.f64 (/.f64 (/.f64 (*.f64 x x) (-.f64 x y)) (*.f64 x (*.f64 y #s(literal 2 binary64)))) (/.f64 (/.f64 (*.f64 y y) (-.f64 x y)) (*.f64 x (*.f64 y #s(literal 2 binary64)))))
(-.f64 (/.f64 (*.f64 x x) (*.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 y (-.f64 x y)))) (/.f64 (*.f64 y y) (*.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 y (-.f64 x y)))))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) y)) (/.f64 (+.f64 x y) (*.f64 (*.f64 x y) #s(literal -2 binary64))))
(-.f64 (/.f64 (/.f64 (*.f64 y y) (-.f64 y x)) (*.f64 x (*.f64 y #s(literal 2 binary64)))) (/.f64 (/.f64 (*.f64 x x) (-.f64 y x)) (*.f64 x (*.f64 y #s(literal 2 binary64)))))
(-.f64 (/.f64 (-.f64 #s(literal 0 binary64) y) (*.f64 (*.f64 x y) #s(literal -2 binary64))) (/.f64 x (*.f64 (*.f64 x y) #s(literal -2 binary64))))
(-.f64 (/.f64 (-.f64 #s(literal 0 binary64) x) (*.f64 (*.f64 x y) #s(literal -2 binary64))) (/.f64 y (*.f64 (*.f64 x y) #s(literal -2 binary64))))
(-.f64 (/.f64 (/.f64 (*.f64 x x) (-.f64 #s(literal 0 binary64) (-.f64 x y))) (*.f64 (*.f64 x y) #s(literal -2 binary64))) (/.f64 (/.f64 (*.f64 y y) (-.f64 #s(literal 0 binary64) (-.f64 x y))) (*.f64 (*.f64 x y) #s(literal -2 binary64))))
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (fma.f64 x x (*.f64 y (+.f64 x y))) (-.f64 x y))) (*.f64 x (*.f64 (*.f64 y #s(literal 2 binary64)) (fma.f64 x x (*.f64 y (-.f64 y x)))))) (/.f64 (/.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))) (*.f64 (fma.f64 x x (*.f64 y (+.f64 x y))) (-.f64 x y))) (*.f64 x (*.f64 (*.f64 y #s(literal 2 binary64)) (fma.f64 x x (*.f64 y (-.f64 y x)))))))
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (fma.f64 x x (*.f64 y (+.f64 x y))) (-.f64 x y))) (*.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x x (*.f64 y (-.f64 y x)))) (*.f64 (*.f64 x y) #s(literal -2 binary64)))) (/.f64 (/.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))) (*.f64 (fma.f64 x x (*.f64 y (+.f64 x y))) (-.f64 x y))) (*.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x x (*.f64 y (-.f64 y x)))) (*.f64 (*.f64 x y) #s(literal -2 binary64)))))
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (fma.f64 x x (*.f64 y (+.f64 x y))) (-.f64 x y))) (*.f64 (*.f64 (*.f64 x y) #s(literal -2 binary64)) (-.f64 #s(literal 0 binary64) (fma.f64 x x (*.f64 y (-.f64 y x)))))) (/.f64 (/.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))) (*.f64 (fma.f64 x x (*.f64 y (+.f64 x y))) (-.f64 x y))) (*.f64 (*.f64 (*.f64 x y) #s(literal -2 binary64)) (-.f64 #s(literal 0 binary64) (fma.f64 x x (*.f64 y (-.f64 y x)))))))
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (fma.f64 x (*.f64 x (*.f64 x x)) (*.f64 (*.f64 y y) (fma.f64 x x (*.f64 y y))))) (*.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 y (-.f64 x y)))) (/.f64 (/.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))) (fma.f64 x (*.f64 x (*.f64 x x)) (*.f64 (*.f64 y y) (fma.f64 x x (*.f64 y y))))) (*.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 y (-.f64 x y)))))
(-.f64 (/.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (fma.f64 x x (*.f64 y y))) (*.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 y (-.f64 x y)))) (/.f64 (/.f64 (*.f64 y (*.f64 y (*.f64 y y))) (fma.f64 x x (*.f64 y y))) (*.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 y (-.f64 x y)))))
(-.f64 (/.f64 (*.f64 x x) (*.f64 (-.f64 #s(literal 0 binary64) (-.f64 x y)) (*.f64 (*.f64 x y) #s(literal -2 binary64)))) (/.f64 (*.f64 y y) (*.f64 (-.f64 #s(literal 0 binary64) (-.f64 x y)) (*.f64 (*.f64 x y) #s(literal -2 binary64)))))
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (fma.f64 x (*.f64 x (*.f64 x x)) (*.f64 (*.f64 y y) (fma.f64 x x (*.f64 y y))))) (*.f64 (-.f64 #s(literal 0 binary64) (-.f64 x y)) (*.f64 (*.f64 x y) #s(literal -2 binary64)))) (/.f64 (/.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))) (fma.f64 x (*.f64 x (*.f64 x x)) (*.f64 (*.f64 y y) (fma.f64 x x (*.f64 y y))))) (*.f64 (-.f64 #s(literal 0 binary64) (-.f64 x y)) (*.f64 (*.f64 x y) #s(literal -2 binary64)))))
(-.f64 (/.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (fma.f64 x x (*.f64 y y))) (*.f64 (-.f64 #s(literal 0 binary64) (-.f64 x y)) (*.f64 (*.f64 x y) #s(literal -2 binary64)))) (/.f64 (/.f64 (*.f64 y (*.f64 y (*.f64 y y))) (fma.f64 x x (*.f64 y y))) (*.f64 (-.f64 #s(literal 0 binary64) (-.f64 x y)) (*.f64 (*.f64 x y) #s(literal -2 binary64)))))
(-.f64 (/.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 x y) #s(literal -2 binary64)) (-.f64 #s(literal 0 binary64) (-.f64 x y)))) (/.f64 (*.f64 y y) (*.f64 (*.f64 (*.f64 x y) #s(literal -2 binary64)) (-.f64 #s(literal 0 binary64) (-.f64 x y)))))
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (fma.f64 x (*.f64 x (*.f64 x x)) (*.f64 (*.f64 y y) (fma.f64 x x (*.f64 y y))))) (*.f64 (*.f64 (*.f64 x y) #s(literal -2 binary64)) (-.f64 #s(literal 0 binary64) (-.f64 x y)))) (/.f64 (/.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))) (fma.f64 x (*.f64 x (*.f64 x x)) (*.f64 (*.f64 y y) (fma.f64 x x (*.f64 y y))))) (*.f64 (*.f64 (*.f64 x y) #s(literal -2 binary64)) (-.f64 #s(literal 0 binary64) (-.f64 x y)))))
(-.f64 (/.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (fma.f64 x x (*.f64 y y))) (*.f64 (*.f64 (*.f64 x y) #s(literal -2 binary64)) (-.f64 #s(literal 0 binary64) (-.f64 x y)))) (/.f64 (/.f64 (*.f64 y (*.f64 y (*.f64 y y))) (fma.f64 x x (*.f64 y y))) (*.f64 (*.f64 (*.f64 x y) #s(literal -2 binary64)) (-.f64 #s(literal 0 binary64) (-.f64 x y)))))
(-.f64 (/.f64 (/.f64 (/.f64 (*.f64 x x) (-.f64 x y)) (*.f64 x #s(literal 2 binary64))) y) (/.f64 (/.f64 (/.f64 (*.f64 y y) (-.f64 x y)) (*.f64 x #s(literal 2 binary64))) y))
(-.f64 (/.f64 (/.f64 #s(literal 0 binary64) (*.f64 x #s(literal -2 binary64))) y) (/.f64 (+.f64 x y) (*.f64 (*.f64 x y) #s(literal -2 binary64))))
(-.f64 (/.f64 (/.f64 (*.f64 x x) (*.f64 x (*.f64 #s(literal 2 binary64) (-.f64 x y)))) y) (/.f64 (/.f64 (*.f64 y y) (*.f64 x (*.f64 #s(literal 2 binary64) (-.f64 x y)))) y))
(-.f64 (/.f64 (/.f64 (/.f64 (*.f64 x x) (-.f64 x y)) (*.f64 x #s(literal 2 binary64))) (neg.f64 (-.f64 #s(literal 0 binary64) y))) (/.f64 (/.f64 (/.f64 (*.f64 y y) (-.f64 x y)) (*.f64 x #s(literal 2 binary64))) (neg.f64 (-.f64 #s(literal 0 binary64) y))))
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(/.f64 (neg.f64 (*.f64 (*.f64 (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))) (*.f64 (fma.f64 x x (*.f64 y (+.f64 x y))) (-.f64 x y))) #s(literal 1 binary64))) (neg.f64 (*.f64 (fma.f64 x (*.f64 x (*.f64 x x)) (*.f64 (*.f64 y y) (fma.f64 x x (*.f64 y y)))) (-.f64 x y))))
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 x x) (-.f64 x y)) (*.f64 (-.f64 x y) (*.f64 y y)))) (neg.f64 (*.f64 (-.f64 x y) (-.f64 x y))))
(/.f64 (neg.f64 (*.f64 (fma.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))) (neg.f64 (*.f64 (fma.f64 x (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)) (*.f64 (*.f64 y (*.f64 y y)) (-.f64 (*.f64 y (*.f64 y y)) (*.f64 x (*.f64 x x))))) (fma.f64 x x (*.f64 y (-.f64 y x))))))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y)))) #s(literal 1 binary64))) (neg.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x x (*.f64 y (-.f64 y x))))))
(/.f64 (neg.f64 (*.f64 (*.f64 (+.f64 x y) (-.f64 #s(literal 0 binary64) (-.f64 x y))) #s(literal 1 binary64))) (neg.f64 (-.f64 #s(literal 0 binary64) (-.f64 x y))))
(/.f64 (neg.f64 (*.f64 (*.f64 (+.f64 x y) (-.f64 y x)) #s(literal 1 binary64))) (neg.f64 (-.f64 y x)))
(/.f64 (neg.f64 (-.f64 (*.f64 (/.f64 (*.f64 x x) (-.f64 x y)) (*.f64 (/.f64 (*.f64 x x) (-.f64 x y)) (/.f64 (*.f64 x x) (-.f64 x y)))) (*.f64 (/.f64 (*.f64 y y) (-.f64 x y)) (*.f64 (/.f64 (*.f64 y y) (-.f64 x y)) (/.f64 (*.f64 y y) (-.f64 x y)))))) (neg.f64 (fma.f64 (/.f64 (*.f64 x x) (-.f64 x y)) (/.f64 (*.f64 x x) (-.f64 x y)) (fma.f64 (/.f64 (*.f64 y y) (-.f64 x y)) (/.f64 (*.f64 y y) (-.f64 x y)) (*.f64 (/.f64 (*.f64 x x) (-.f64 x y)) (/.f64 (*.f64 y y) (-.f64 x y)))))))
(/.f64 (neg.f64 (-.f64 (*.f64 (/.f64 (*.f64 x x) (-.f64 x y)) (/.f64 (*.f64 x x) (-.f64 x y))) (*.f64 (/.f64 (*.f64 y y) (-.f64 x y)) (/.f64 (*.f64 y y) (-.f64 x y))))) (neg.f64 (fma.f64 x (/.f64 x (-.f64 x y)) (/.f64 (*.f64 y y) (-.f64 x y)))))
(/.f64 (neg.f64 (*.f64 (fma.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 #s(literal 1 binary64) (fma.f64 x x (*.f64 y (-.f64 y x)))))) (neg.f64 (fma.f64 x (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)) (*.f64 (*.f64 y (*.f64 y y)) (-.f64 (*.f64 y (*.f64 y y)) (*.f64 x (*.f64 x x)))))))
(/.f64 (neg.f64 (*.f64 (*.f64 (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))) (*.f64 (fma.f64 x x (*.f64 y (+.f64 x y))) (-.f64 x y))) (/.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 y (-.f64 y x)))))) (neg.f64 (*.f64 (fma.f64 x x (*.f64 y (+.f64 x y))) (-.f64 x y))))
(/.f64 (neg.f64 (*.f64 (*.f64 (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))) (*.f64 (fma.f64 x x (*.f64 y (+.f64 x y))) (-.f64 x y))) (/.f64 #s(literal 1 binary64) (-.f64 x y)))) (neg.f64 (fma.f64 x (*.f64 x (*.f64 x x)) (*.f64 (*.f64 y y) (fma.f64 x x (*.f64 y y))))))
(/.f64 (neg.f64 (*.f64 (*.f64 (fma.f64 x x (*.f64 y y)) (*.f64 (+.f64 x y) (-.f64 x y))) (/.f64 #s(literal 1 binary64) (-.f64 x y)))) (neg.f64 (fma.f64 x x (*.f64 y y))))
(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 x y) (-.f64 y x))) #s(literal -1 binary64))
(*.f64 (+.f64 x y) #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))))
(*.f64 (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))) (/.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 y (-.f64 y x)))))
(*.f64 (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 y (-.f64 y x)))) #s(literal 1 binary64)))
(*.f64 (fma.f64 x x (*.f64 y (-.f64 y x))) (/.f64 (+.f64 x y) (fma.f64 x x (*.f64 y (-.f64 y x)))))
(*.f64 (fma.f64 x x (*.f64 y (-.f64 y x))) (*.f64 (+.f64 x y) (/.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 y (-.f64 y x))))))
(*.f64 #s(literal 1 binary64) (+.f64 x y))
(*.f64 (*.f64 (+.f64 x y) (-.f64 x y)) (/.f64 #s(literal 1 binary64) (-.f64 x y)))
(*.f64 (*.f64 (+.f64 x y) (-.f64 x y)) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 x y)) #s(literal 1 binary64)))
(*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 x y)))
(*.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (fma.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) (fma.f64 x x (*.f64 y (-.f64 y x)))) (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 y (-.f64 y x)))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.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 y) (-.f64 x y)))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 x y)) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 x y) (-.f64 x y))) #s(literal -1 binary64)))
(*.f64 (*.f64 (+.f64 x y) (-.f64 y x)) (/.f64 #s(literal 1 binary64) (-.f64 y x)))
(*.f64 (/.f64 (*.f64 (+.f64 x y) (-.f64 x y)) (*.f64 (+.f64 x y) (-.f64 x y))) (+.f64 x y))
(*.f64 (/.f64 (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))) (fma.f64 (*.f64 y (-.f64 y x)) (*.f64 (*.f64 y (-.f64 y x)) (*.f64 y (-.f64 y x))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))) (fma.f64 x (*.f64 x (*.f64 x x)) (*.f64 (*.f64 y (-.f64 y x)) (-.f64 (*.f64 y (-.f64 y x)) (*.f64 x x)))))
(*.f64 (/.f64 (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))) (*.f64 (fma.f64 x x (*.f64 y (-.f64 y x))) (-.f64 (*.f64 x x) (*.f64 y (-.f64 y x))))) (-.f64 (*.f64 x x) (*.f64 y (-.f64 y x))))
(*.f64 (/.f64 (*.f64 (+.f64 x y) (-.f64 x y)) (*.f64 (fma.f64 x x (*.f64 y (+.f64 x y))) (-.f64 x y))) (fma.f64 x x (*.f64 y (+.f64 x y))))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 x y) (-.f64 x y))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 x y)))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 y (-.f64 y x)))))
(*.f64 (pow.f64 (/.f64 (fma.f64 x x (*.f64 y (-.f64 y x))) (fma.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 #s(literal 1 binary64) (fma.f64 x (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)) (*.f64 (*.f64 y (*.f64 y y)) (-.f64 (*.f64 y (*.f64 y y)) (*.f64 x (*.f64 x x)))))))
(*.f64 (pow.f64 (/.f64 (fma.f64 x x (*.f64 y (-.f64 y x))) (*.f64 (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))) (*.f64 (fma.f64 x x (*.f64 y (+.f64 x y))) (-.f64 x y)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x x (*.f64 y (+.f64 x y))) (-.f64 x y))))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 x x (*.f64 y (-.f64 y x))))))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 x y) (-.f64 #s(literal 0 binary64) (-.f64 x y)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (-.f64 x y))))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 x y) (-.f64 y x))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 y x)))
(*.f64 (pow.f64 (/.f64 (-.f64 x y) (*.f64 (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))) (*.f64 (fma.f64 x x (*.f64 y (+.f64 x y))) (-.f64 x y)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x (*.f64 x x)) (*.f64 (*.f64 y y) (fma.f64 x x (*.f64 y y))))))
(*.f64 (pow.f64 (/.f64 (-.f64 x y) (*.f64 (fma.f64 x x (*.f64 y y)) (*.f64 (+.f64 x y) (-.f64 x y)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 y y))))
(exp.f64 (neg.f64 (*.f64 (log.f64 (*.f64 x (*.f64 y #s(literal 2 binary64)))) #s(literal -1 binary64))))
(-.f64 #s(literal 0 binary64) (*.f64 (*.f64 x y) #s(literal -2 binary64)))
(neg.f64 (*.f64 (*.f64 x y) #s(literal -2 binary64)))
(/.f64 (*.f64 x (*.f64 y #s(literal 2 binary64))) #s(literal 1 binary64))
(/.f64 (*.f64 (*.f64 x y) #s(literal -2 binary64)) #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x y)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x y))))
(pow.f64 (*.f64 x (*.f64 y #s(literal 2 binary64))) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x y)) #s(literal -1 binary64))
(*.f64 x (*.f64 y #s(literal 2 binary64)))
(*.f64 x (neg.f64 (*.f64 y #s(literal -2 binary64))))
(*.f64 x (/.f64 (*.f64 y #s(literal 2 binary64)) #s(literal 1 binary64)))
(*.f64 y (*.f64 x #s(literal 2 binary64)))
(*.f64 y (neg.f64 (*.f64 x #s(literal -2 binary64))))
(*.f64 y (/.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)))
(*.f64 #s(literal 2 binary64) (*.f64 x y))
(*.f64 #s(literal 2 binary64) (/.f64 (*.f64 x y) #s(literal 1 binary64)))
(*.f64 (*.f64 x #s(literal 2 binary64)) y)
(*.f64 (*.f64 x #s(literal 2 binary64)) (neg.f64 (-.f64 #s(literal 0 binary64) y)))
(*.f64 (*.f64 x #s(literal 2 binary64)) (/.f64 y #s(literal 1 binary64)))
(*.f64 (*.f64 x (*.f64 y #s(literal 2 binary64))) #s(literal 1 binary64))
(*.f64 (*.f64 x y) #s(literal 2 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y #s(literal 2 binary64))))
(*.f64 (*.f64 y #s(literal 2 binary64)) x)
(*.f64 (*.f64 y #s(literal 2 binary64)) (/.f64 x #s(literal 1 binary64)))
(*.f64 #s(literal -1 binary64) (*.f64 (*.f64 x y) #s(literal -2 binary64)))
(*.f64 (*.f64 x #s(literal -2 binary64)) (-.f64 #s(literal 0 binary64) y))
(*.f64 (-.f64 #s(literal 0 binary64) y) (*.f64 x #s(literal -2 binary64)))
(*.f64 (-.f64 #s(literal 0 binary64) x) (*.f64 y #s(literal -2 binary64)))
(*.f64 (neg.f64 (*.f64 x #s(literal -2 binary64))) y)
(*.f64 (neg.f64 (-.f64 #s(literal 0 binary64) y)) (*.f64 x #s(literal 2 binary64)))
(*.f64 (neg.f64 (-.f64 #s(literal 0 binary64) x)) (*.f64 y #s(literal 2 binary64)))
(*.f64 x #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) x)

simplify248.0ms (3.5%)

Memory
13.3MiB live, 402.4MiB allocated
Algorithm
1×egg-herbie
Rules
4 386×*-lowering-*.f32
4 386×*-lowering-*.f64
3 612×accelerator-lowering-fma.f32
3 612×accelerator-lowering-fma.f64
1 824×div-sub
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
037372
193372
2175372
3475372
41337372
52530372
64212372
75357372
86256372
96909372
107367372
117968372
08227366
Stop Event
1×iter limit
1×node limit
Counts
84 → 84
Calls
Call 1
Inputs
(/ 1/2 x)
(/ (+ 1/2 (* 1/2 (/ x y))) x)
(/ (+ 1/2 (* 1/2 (/ x y))) x)
(/ (+ 1/2 (* 1/2 (/ x y))) x)
(/ 1/2 y)
(+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y)))
(+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y)))
(+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y)))
(/ 1/2 y)
(+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y)))
(+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y)))
(+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y)))
(/ 1/2 y)
(/ (+ 1/2 (* 1/2 (/ y x))) y)
(/ (+ 1/2 (* 1/2 (/ y x))) y)
(/ (+ 1/2 (* 1/2 (/ y x))) y)
(/ 1/2 x)
(+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y)))
(+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y)))
(+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y)))
(/ 1/2 x)
(+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y)))
(+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y)))
(+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 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)))
(* 2 (* x y))
(* 2 (* x y))
(* 2 (* x y))
(* 2 (* x y))
(* 2 (* x y))
(* 2 (* x y))
(* 2 (* x y))
(* 2 (* x y))
(* 2 (* x y))
(* 2 (* x y))
(* 2 (* x y))
(* 2 (* x y))
(* 2 (* x y))
(* 2 (* x y))
(* 2 (* x y))
(* 2 (* x y))
(* 2 (* x y))
(* 2 (* x y))
(* 2 (* x y))
(* 2 (* x y))
(* 2 (* x y))
(* 2 (* x y))
(* 2 (* x y))
(* 2 (* x y))
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
Outputs
(/ 1/2 x)
(/.f64 #s(literal 1/2 binary64) x)
(/ (+ 1/2 (* 1/2 (/ x y))) x)
(/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal 1/2 binary64)) x)
(/ (+ 1/2 (* 1/2 (/ x y))) x)
(/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal 1/2 binary64)) x)
(/ (+ 1/2 (* 1/2 (/ x y))) x)
(/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal 1/2 binary64)) x)
(/ 1/2 y)
(/.f64 #s(literal 1/2 binary64) y)
(+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y)))
(+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1/2 binary64) y))
(+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y)))
(+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1/2 binary64) y))
(+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y)))
(+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1/2 binary64) y))
(/ 1/2 y)
(/.f64 #s(literal 1/2 binary64) y)
(+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y)))
(+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1/2 binary64) y))
(+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y)))
(+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1/2 binary64) y))
(+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y)))
(+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1/2 binary64) y))
(/ 1/2 y)
(/.f64 #s(literal 1/2 binary64) y)
(/ (+ 1/2 (* 1/2 (/ y x))) y)
(/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 y x) #s(literal 1/2 binary64)) y)
(/ (+ 1/2 (* 1/2 (/ y x))) y)
(/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 y x) #s(literal 1/2 binary64)) y)
(/ (+ 1/2 (* 1/2 (/ y x))) y)
(/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 y x) #s(literal 1/2 binary64)) y)
(/ 1/2 x)
(/.f64 #s(literal 1/2 binary64) x)
(+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y)))
(+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1/2 binary64) y))
(+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y)))
(+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1/2 binary64) y))
(+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y)))
(+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1/2 binary64) y))
(/ 1/2 x)
(/.f64 #s(literal 1/2 binary64) x)
(+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y)))
(+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1/2 binary64) y))
(+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y)))
(+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1/2 binary64) y))
(+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y)))
(+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1/2 binary64) y))
y
(+ x y)
(+.f64 x y)
(+ x y)
(+.f64 x y)
(+ x y)
(+.f64 x y)
x
(* x (+ 1 (/ y x)))
(+.f64 x y)
(* x (+ 1 (/ y x)))
(+.f64 x y)
(* x (+ 1 (/ y x)))
(+.f64 x y)
x
(* -1 (* x (- (* -1 (/ y x)) 1)))
(+.f64 x y)
(* -1 (* x (- (* -1 (/ y x)) 1)))
(+.f64 x y)
(* -1 (* x (- (* -1 (/ y x)) 1)))
(+.f64 x y)
x
(+ x y)
(+.f64 x y)
(+ x y)
(+.f64 x y)
(+ x y)
(+.f64 x y)
y
(* y (+ 1 (/ x y)))
(+.f64 x y)
(* y (+ 1 (/ x y)))
(+.f64 x y)
(* y (+ 1 (/ x y)))
(+.f64 x y)
y
(* -1 (* y (- (* -1 (/ x y)) 1)))
(+.f64 x y)
(* -1 (* y (- (* -1 (/ x y)) 1)))
(+.f64 x y)
(* -1 (* y (- (* -1 (/ x y)) 1)))
(+.f64 x y)
(* 2 (* x y))
(fma.f64 #s(literal 2 binary64) (fma.f64 x y #s(literal 0 binary64)) #s(literal 0 binary64))
(* 2 (* x y))
(fma.f64 #s(literal 2 binary64) (fma.f64 x y #s(literal 0 binary64)) #s(literal 0 binary64))
(* 2 (* x y))
(fma.f64 #s(literal 2 binary64) (fma.f64 x y #s(literal 0 binary64)) #s(literal 0 binary64))
(* 2 (* x y))
(fma.f64 #s(literal 2 binary64) (fma.f64 x y #s(literal 0 binary64)) #s(literal 0 binary64))
(* 2 (* x y))
(fma.f64 #s(literal 2 binary64) (fma.f64 x y #s(literal 0 binary64)) #s(literal 0 binary64))
(* 2 (* x y))
(fma.f64 #s(literal 2 binary64) (fma.f64 x y #s(literal 0 binary64)) #s(literal 0 binary64))
(* 2 (* x y))
(fma.f64 #s(literal 2 binary64) (fma.f64 x y #s(literal 0 binary64)) #s(literal 0 binary64))
(* 2 (* x y))
(fma.f64 #s(literal 2 binary64) (fma.f64 x y #s(literal 0 binary64)) #s(literal 0 binary64))
(* 2 (* x y))
(fma.f64 #s(literal 2 binary64) (fma.f64 x y #s(literal 0 binary64)) #s(literal 0 binary64))
(* 2 (* x y))
(fma.f64 #s(literal 2 binary64) (fma.f64 x y #s(literal 0 binary64)) #s(literal 0 binary64))
(* 2 (* x y))
(fma.f64 #s(literal 2 binary64) (fma.f64 x y #s(literal 0 binary64)) #s(literal 0 binary64))
(* 2 (* x y))
(fma.f64 #s(literal 2 binary64) (fma.f64 x y #s(literal 0 binary64)) #s(literal 0 binary64))
(* 2 (* x y))
(fma.f64 #s(literal 2 binary64) (fma.f64 x y #s(literal 0 binary64)) #s(literal 0 binary64))
(* 2 (* x y))
(fma.f64 #s(literal 2 binary64) (fma.f64 x y #s(literal 0 binary64)) #s(literal 0 binary64))
(* 2 (* x y))
(fma.f64 #s(literal 2 binary64) (fma.f64 x y #s(literal 0 binary64)) #s(literal 0 binary64))
(* 2 (* x y))
(fma.f64 #s(literal 2 binary64) (fma.f64 x y #s(literal 0 binary64)) #s(literal 0 binary64))
(* 2 (* x y))
(fma.f64 #s(literal 2 binary64) (fma.f64 x y #s(literal 0 binary64)) #s(literal 0 binary64))
(* 2 (* x y))
(fma.f64 #s(literal 2 binary64) (fma.f64 x y #s(literal 0 binary64)) #s(literal 0 binary64))
(* 2 (* x y))
(fma.f64 #s(literal 2 binary64) (fma.f64 x y #s(literal 0 binary64)) #s(literal 0 binary64))
(* 2 (* x y))
(fma.f64 #s(literal 2 binary64) (fma.f64 x y #s(literal 0 binary64)) #s(literal 0 binary64))
(* 2 (* x y))
(fma.f64 #s(literal 2 binary64) (fma.f64 x y #s(literal 0 binary64)) #s(literal 0 binary64))
(* 2 (* x y))
(fma.f64 #s(literal 2 binary64) (fma.f64 x y #s(literal 0 binary64)) #s(literal 0 binary64))
(* 2 (* x y))
(fma.f64 #s(literal 2 binary64) (fma.f64 x y #s(literal 0 binary64)) #s(literal 0 binary64))
(* 2 (* x y))
(fma.f64 #s(literal 2 binary64) (fma.f64 x y #s(literal 0 binary64)) #s(literal 0 binary64))
(* 2 x)
(fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64))
(* 2 x)
(fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64))
(* 2 x)
(fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64))
(* 2 x)
(fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64))
(* 2 x)
(fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64))
(* 2 x)
(fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64))
(* 2 x)
(fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64))
(* 2 x)
(fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64))
(* 2 x)
(fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64))
(* 2 x)
(fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64))
(* 2 x)
(fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64))
(* 2 x)
(fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64))

eval82.0ms (1.1%)

Memory
-10.1MiB live, 192.7MiB allocated
Compiler

Compiled 15 741 to 1 668 computations (89.4% saved)

prune136.0ms (1.9%)

Memory
-2.5MiB live, 310.0MiB allocated
Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New6686674
Fresh000
Picked101
Done000
Total6696675
Accuracy
100.0%
Counts
675 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
88.2%
(/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 y x) #s(literal 1/2 binary64)) y)
▶39.9%
(/.f64 y (*.f64 (*.f64 x #s(literal 2 binary64)) y))
▶52.2%
(/.f64 #s(literal 1/2 binary64) y)
▶49.7%
(/.f64 #s(literal 1/2 binary64) x)
▶100.0%
(+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1/2 binary64) y))
▶78.0%
(*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x y)) (+.f64 x y))
Compiler

Compiled 98 to 66 computations (32.7% saved)

simplify318.0ms (4.5%)

Memory
34.5MiB live, 515.6MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 12 expressions of interest:

NewMetricScoreProgram
✓cost-diff-64
(*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x y)) (+.f64 x y))
✓cost-diff0
(+.f64 x y)
✓cost-diff0
(*.f64 x y)
✓cost-diff0
(/.f64 #s(literal 1/2 binary64) (*.f64 x y))
✓cost-diff0
(*.f64 x #s(literal 2 binary64))
✓cost-diff0
(*.f64 (*.f64 x #s(literal 2 binary64)) y)
✓cost-diff640
(/.f64 y (*.f64 (*.f64 x #s(literal 2 binary64)) y))
✓cost-diff0
(/.f64 #s(literal 1/2 binary64) y)
✓cost-diff0
(/.f64 #s(literal 1/2 binary64) x)
✓cost-diff0
(/.f64 #s(literal 1/2 binary64) y)
✓cost-diff0
(/.f64 #s(literal 1/2 binary64) x)
✓cost-diff0
(+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1/2 binary64) y))
Rules
6 424×accelerator-lowering-fma.f32
6 424×accelerator-lowering-fma.f64
4 918×*-lowering-*.f32
4 918×*-lowering-*.f64
3 366×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01461
13361
28461
314761
441261
5114061
6228561
7310061
8488861
9514261
10530661
11543461
12663861
13688361
14757261
0814261
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(+ (/ 1/2 x) (/ 1/2 y))
(/ 1/2 x)
1/2
x
(/ 1/2 y)
y
(/ 1/2 x)
1/2
x
(/ 1/2 y)
1/2
y
(/ y (* (* x 2) y))
y
(* (* x 2) y)
(* x 2)
x
2
(* (/ 1/2 (* x y)) (+ x y))
(/ 1/2 (* x y))
1/2
(* x y)
x
y
(+ x y)
Outputs
(+ (/ 1/2 x) (/ 1/2 y))
(+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1/2 binary64) y))
(/ 1/2 x)
(/.f64 #s(literal 1/2 binary64) x)
1/2
#s(literal 1/2 binary64)
x
(/ 1/2 y)
(/.f64 #s(literal 1/2 binary64) y)
y
(/ 1/2 x)
(/.f64 #s(literal 1/2 binary64) x)
1/2
#s(literal 1/2 binary64)
x
(/ 1/2 y)
(/.f64 #s(literal 1/2 binary64) y)
1/2
#s(literal 1/2 binary64)
y
(/ y (* (* x 2) y))
(/.f64 #s(literal 1/2 binary64) x)
y
(* (* x 2) y)
(*.f64 y (*.f64 x #s(literal 2 binary64)))
(* x 2)
(*.f64 x #s(literal 2 binary64))
x
2
#s(literal 2 binary64)
(* (/ 1/2 (* x y)) (+ x y))
(+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1/2 binary64) y))
(/ 1/2 (* x y))
(/.f64 #s(literal 1/2 binary64) (*.f64 x y))
1/2
#s(literal 1/2 binary64)
(* x y)
(*.f64 x y)
x
y
(+ x y)
(+.f64 x y)

localize81.0ms (1.1%)

Memory
-1.6MiB live, 70.4MiB allocated
Localize:

Found 12 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(+.f64 x y)
✓accuracy100.0%
(*.f64 x y)
✓accuracy99.1%
(/.f64 #s(literal 1/2 binary64) (*.f64 x y))
✓accuracy78.9%
(*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x y)) (+.f64 x y))
✓accuracy100.0%
(*.f64 (*.f64 x #s(literal 2 binary64)) y)
✓accuracy100.0%
(*.f64 x #s(literal 2 binary64))
✓accuracy78.2%
(/.f64 y (*.f64 (*.f64 x #s(literal 2 binary64)) y))
✓accuracy100.0%
(/.f64 #s(literal 1/2 binary64) y)
✓accuracy100.0%
(/.f64 #s(literal 1/2 binary64) x)
✓accuracy100.0%
(/.f64 #s(literal 1/2 binary64) y)
✓accuracy100.0%
(/.f64 #s(literal 1/2 binary64) x)
✓accuracy100.0%
(+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1/2 binary64) y))
Samples
28.0ms256×0valid
Compiler

Compiled 69 to 16 computations (76.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 16.0ms
ival-div: 7.0ms (44.2% of total)
ival-mult: 6.0ms (37.9% of total)
ival-add: 2.0ms (12.6% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series31.0ms (0.4%)

Memory
-20.9MiB live, 14.4MiB allocated
Counts
10 → 204
Calls
Call 1
Inputs
#<alt (+ (/ 1/2 x) (/ 1/2 y))>
#<alt (/ 1/2 x)>
#<alt (/ 1/2 y)>
#<alt (/ y (* (* x 2) y))>
#<alt (* (* x 2) y)>
#<alt (* x 2)>
#<alt (/ 1/2 (* x y))>
#<alt (* x y)>
#<alt (+ x y)>
#<alt (* (/ 1/2 (* x y)) (+ x y))>
Outputs
#<alt (/ 1/2 x)>
#<alt (/ (+ 1/2 (* 1/2 (/ x y))) x)>
#<alt (/ (+ 1/2 (* 1/2 (/ x y))) x)>
#<alt (/ (+ 1/2 (* 1/2 (/ x y))) x)>
#<alt (/ 1/2 y)>
#<alt (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y)))>
#<alt (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y)))>
#<alt (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y)))>
#<alt (/ 1/2 y)>
#<alt (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y)))>
#<alt (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y)))>
#<alt (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y)))>
#<alt (/ 1/2 y)>
#<alt (/ (+ 1/2 (* 1/2 (/ y x))) y)>
#<alt (/ (+ 1/2 (* 1/2 (/ y x))) y)>
#<alt (/ (+ 1/2 (* 1/2 (/ y x))) y)>
#<alt (/ 1/2 x)>
#<alt (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y)))>
#<alt (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y)))>
#<alt (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y)))>
#<alt (/ 1/2 x)>
#<alt (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y)))>
#<alt (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y)))>
#<alt (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y)))>
#<alt (/ 1/2 x)>
#<alt (/ 1/2 x)>
#<alt (/ 1/2 x)>
#<alt (/ 1/2 x)>
#<alt (/ 1/2 x)>
#<alt (/ 1/2 x)>
#<alt (/ 1/2 x)>
#<alt (/ 1/2 x)>
#<alt (/ 1/2 x)>
#<alt (/ 1/2 x)>
#<alt (/ 1/2 x)>
#<alt (/ 1/2 x)>
#<alt (/ 1/2 y)>
#<alt (/ 1/2 y)>
#<alt (/ 1/2 y)>
#<alt (/ 1/2 y)>
#<alt (/ 1/2 y)>
#<alt (/ 1/2 y)>
#<alt (/ 1/2 y)>
#<alt (/ 1/2 y)>
#<alt (/ 1/2 y)>
#<alt (/ 1/2 y)>
#<alt (/ 1/2 y)>
#<alt (/ 1/2 y)>
#<alt (/ 1/2 x)>
#<alt (/ 1/2 x)>
#<alt (/ 1/2 x)>
#<alt (/ 1/2 x)>
#<alt (/ 1/2 x)>
#<alt (/ 1/2 x)>
#<alt (/ 1/2 x)>
#<alt (/ 1/2 x)>
#<alt (/ 1/2 x)>
#<alt (/ 1/2 x)>
#<alt (/ 1/2 x)>
#<alt (/ 1/2 x)>
#<alt (/ 1/2 x)>
#<alt (/ 1/2 x)>
#<alt (/ 1/2 x)>
#<alt (/ 1/2 x)>
#<alt (/ 1/2 x)>
#<alt (/ 1/2 x)>
#<alt (/ 1/2 x)>
#<alt (/ 1/2 x)>
#<alt (/ 1/2 x)>
#<alt (/ 1/2 x)>
#<alt (/ 1/2 x)>
#<alt (/ 1/2 x)>
#<alt (* 2 (* x y))>
#<alt (* 2 (* x y))>
#<alt (* 2 (* x y))>
#<alt (* 2 (* x y))>
#<alt (* 2 (* x y))>
#<alt (* 2 (* x y))>
#<alt (* 2 (* x y))>
#<alt (* 2 (* x y))>
#<alt (* 2 (* x y))>
#<alt (* 2 (* x y))>
#<alt (* 2 (* x y))>
#<alt (* 2 (* x y))>
#<alt (* 2 (* x y))>
#<alt (* 2 (* x y))>
#<alt (* 2 (* x y))>
#<alt (* 2 (* x y))>
#<alt (* 2 (* x y))>
#<alt (* 2 (* x y))>
#<alt (* 2 (* x y))>
#<alt (* 2 (* x y))>
#<alt (* 2 (* x y))>
#<alt (* 2 (* x y))>
#<alt (* 2 (* x y))>
#<alt (* 2 (* x y))>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (/ 1/2 (* x y))>
#<alt (/ 1/2 (* x y))>
#<alt (/ 1/2 (* x y))>
#<alt (/ 1/2 (* x y))>
#<alt (/ 1/2 (* x y))>
#<alt (/ 1/2 (* x y))>
#<alt (/ 1/2 (* x y))>
#<alt (/ 1/2 (* x y))>
#<alt (/ 1/2 (* x y))>
#<alt (/ 1/2 (* x y))>
#<alt (/ 1/2 (* x y))>
#<alt (/ 1/2 (* x y))>
#<alt (/ 1/2 (* x y))>
#<alt (/ 1/2 (* x y))>
#<alt (/ 1/2 (* x y))>
#<alt (/ 1/2 (* x y))>
#<alt (/ 1/2 (* x y))>
#<alt (/ 1/2 (* x y))>
#<alt (/ 1/2 (* x y))>
#<alt (/ 1/2 (* x y))>
#<alt (/ 1/2 (* x y))>
#<alt (/ 1/2 (* x y))>
#<alt (/ 1/2 (* x y))>
#<alt (/ 1/2 (* 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 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 (/ 1/2 x)>
#<alt (/ (+ 1/2 (* 1/2 (/ x y))) x)>
#<alt (/ (+ 1/2 (* 1/2 (/ x y))) x)>
#<alt (/ (+ 1/2 (* 1/2 (/ x y))) x)>
#<alt (/ 1/2 y)>
#<alt (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y)))>
#<alt (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y)))>
#<alt (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y)))>
#<alt (/ 1/2 y)>
#<alt (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y)))>
#<alt (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y)))>
#<alt (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y)))>
#<alt (/ 1/2 y)>
#<alt (/ (+ 1/2 (* 1/2 (/ y x))) y)>
#<alt (/ (+ 1/2 (* 1/2 (/ y x))) y)>
#<alt (/ (+ 1/2 (* 1/2 (/ y x))) y)>
#<alt (/ 1/2 x)>
#<alt (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y)))>
#<alt (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y)))>
#<alt (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y)))>
#<alt (/ 1/2 x)>
#<alt (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y)))>
#<alt (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y)))>
#<alt (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y)))>
Calls

51 calls:

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

rewrite969.0ms (13.6%)

Memory
-99.4MiB live, 644.4MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
5 658×accelerator-lowering-fma.f32
5 658×accelerator-lowering-fma.f64
4 292×*-lowering-*.f32
4 292×*-lowering-*.f64
3 866×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01442
18842
288242
0861342
Stop Event
1×iter limit
1×node limit
Counts
10 → 1 336
Calls
Call 1
Inputs
(+ (/ 1/2 x) (/ 1/2 y))
(/ 1/2 x)
(/ 1/2 y)
(/ y (* (* x 2) y))
(* (* x 2) y)
(* x 2)
(/ 1/2 (* x y))
(* x y)
(+ x y)
(* (/ 1/2 (* x y)) (+ x y))
Outputs
(+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1/2 binary64) y))
(+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 x y)))
(+.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) x))
(+.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 x y)) (/.f64 #s(literal 1/2 binary64) x))
(+.f64 (/.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 x x)) (+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal -1/2 binary64) y))) (neg.f64 (/.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 y y)) (+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal -1/2 binary64) y)))))
(-.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal -1/2 binary64) y))
(-.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal -1/2 binary64) x))
(-.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 x y)) (/.f64 #s(literal -1/2 binary64) x))
(-.f64 (/.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 x x)) (+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal -1/2 binary64) y))) (/.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 y y)) (+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal -1/2 binary64) y))))
(-.f64 (/.f64 (/.f64 (*.f64 x x) (-.f64 x y)) (*.f64 x (*.f64 y #s(literal 2 binary64)))) (/.f64 (/.f64 (*.f64 y y) (-.f64 x y)) (*.f64 x (*.f64 y #s(literal 2 binary64)))))
(-.f64 (/.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 x y)) (/.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 x y))) (/.f64 (-.f64 x y) (*.f64 x (*.f64 y #s(literal 2 binary64))))) (/.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 x x)) (/.f64 (-.f64 x y) (*.f64 x (*.f64 y #s(literal 2 binary64))))))
(-.f64 (/.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 y y)) (+.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal -1/2 binary64) x))) (/.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 x x)) (+.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal -1/2 binary64) x))))
(fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1/2 binary64) y))
(fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x) (/.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 x y)))
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(*.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 x x)) (/.f64 #s(literal -1/4 binary64) (*.f64 y y))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal -1/2 binary64) y))))
(*.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 x y)) (/.f64 #s(literal 1 binary64) (*.f64 x y)))
(*.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 0 binary64) y) (*.f64 x #s(literal -1/2 binary64))) (/.f64 #s(literal -1 binary64) (*.f64 x y)))
(*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y #s(literal 2 binary64)) x) (/.f64 #s(literal 1/2 binary64) (*.f64 x y)))
(*.f64 (fma.f64 #s(literal -1/2 binary64) y (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 0 binary64) x))) (/.f64 #s(literal -1 binary64) (*.f64 x y)))
(*.f64 (fma.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 0 binary64) y) (*.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -1/2 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 x y)))
(*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 y #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) x)) (/.f64 #s(literal -1/2 binary64) (*.f64 x y)))
(*.f64 (+.f64 y (*.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 1/2 binary64))) (/.f64 #s(literal 1/2 binary64) (*.f64 x y)))
(*.f64 (fma.f64 #s(literal -1 binary64) y (*.f64 (*.f64 x #s(literal 2 binary64)) #s(literal -1/2 binary64))) (/.f64 #s(literal -1/2 binary64) (*.f64 x y)))
(*.f64 (fma.f64 y #s(literal 2 binary64) (*.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 1/4 binary64) (*.f64 x y)))
(*.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 0 binary64) x) (*.f64 y #s(literal -1/2 binary64))) (/.f64 #s(literal -1 binary64) (*.f64 x y)))
(*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 2 binary64)) y) (/.f64 #s(literal 1/2 binary64) (*.f64 x y)))
(*.f64 (fma.f64 #s(literal -1/2 binary64) x (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 0 binary64) y))) (/.f64 #s(literal -1 binary64) (*.f64 x y)))
(*.f64 (fma.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 0 binary64) x) (*.f64 (-.f64 #s(literal 0 binary64) y) #s(literal -1/2 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 x y)))
(*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) y)) (/.f64 #s(literal -1/2 binary64) (*.f64 x y)))
(*.f64 (+.f64 x (*.f64 (*.f64 y #s(literal 2 binary64)) #s(literal 1/2 binary64))) (/.f64 #s(literal 1/2 binary64) (*.f64 x y)))
(*.f64 (fma.f64 #s(literal -1 binary64) x (*.f64 (*.f64 y #s(literal 2 binary64)) #s(literal -1/2 binary64))) (/.f64 #s(literal -1/2 binary64) (*.f64 x y)))
(*.f64 (fma.f64 x #s(literal 2 binary64) (*.f64 y #s(literal 2 binary64))) (/.f64 #s(literal 1/4 binary64) (*.f64 x y)))
(*.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y)))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x y) (fma.f64 x x (*.f64 y (-.f64 y x))))))
(*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 x y) (-.f64 x y))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x y) (-.f64 x y))))
(*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) x) (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y)))) (/.f64 #s(literal 1 binary64) (*.f64 y (fma.f64 x x (*.f64 y (-.f64 y x))))))
(*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) x) (*.f64 (+.f64 x y) (-.f64 x y))) (/.f64 #s(literal 1 binary64) (*.f64 y (-.f64 x y))))
(*.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y)))) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 x y)) (fma.f64 x x (*.f64 y (-.f64 y x))))))
(*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (+.f64 x y) (-.f64 x y))) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 x y)) (-.f64 x y))))
(*.f64 (*.f64 (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x x (*.f64 y (-.f64 y x))) (*.f64 x y))))
(*.f64 (/.f64 (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))) (*.f64 x #s(literal 2 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 y (-.f64 y x)))) y))
(*.f64 (/.f64 (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))) (*.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x x (*.f64 y (-.f64 y x))) y)))
(*.f64 (*.f64 (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x x (*.f64 y (-.f64 y x))) (-.f64 #s(literal 0 binary64) (*.f64 x y)))))
(*.f64 (*.f64 (*.f64 (+.f64 x y) (-.f64 x y)) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 x y) (*.f64 x y))))
(*.f64 (/.f64 (*.f64 (+.f64 x y) (-.f64 x y)) (*.f64 x #s(literal 2 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 x y)) y))
(*.f64 (/.f64 (*.f64 (+.f64 x y) (-.f64 x y)) (*.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 x y) y)))
(*.f64 (*.f64 (*.f64 (+.f64 x y) (-.f64 x y)) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 x y) (-.f64 #s(literal 0 binary64) (*.f64 x y)))))
(*.f64 (-.f64 #s(literal 0 binary64) (+.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1/8 binary64) (*.f64 y (*.f64 y y))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 x x)) (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 y y)) (/.f64 #s(literal -1/4 binary64) (*.f64 x y)))))))
(*.f64 (+.f64 (neg.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 x x))) (/.f64 #s(literal 1/4 binary64) (*.f64 y y))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 #s(literal 1/2 binary64) y))))
(*.f64 (*.f64 (+.f64 x y) #s(literal -1/2 binary64)) (/.f64 #s(literal -1 binary64) (*.f64 x y)))
(*.f64 (/.f64 (+.f64 x y) y) (/.f64 #s(literal 1/2 binary64) x))
(*.f64 (/.f64 (+.f64 x y) x) (/.f64 #s(literal 1/2 binary64) y))
(*.f64 (+.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/8 binary64)) (*.f64 (*.f64 x y) (*.f64 (*.f64 x y) (*.f64 x y)))) (/.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 x y)) (/.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 x y)) (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 x x)) (/.f64 #s(literal -1/4 binary64) (*.f64 x y))))))
(*.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1/2 binary64) y)) (/.f64 (-.f64 x y) (*.f64 x (*.f64 y #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (*.f64 x (*.f64 y #s(literal 2 binary64))))))
(*.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 y y)) (/.f64 #s(literal 1/4 binary64) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal -1/2 binary64) x))))
(*.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 (+.f64 x y) (-.f64 #s(literal 0 binary64) y)))
(*.f64 (/.f64 #s(literal -1/2 binary64) y) (/.f64 (+.f64 x y) (-.f64 #s(literal 0 binary64) x)))
(*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x y)) (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y)))) (/.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 y (-.f64 y x)))))
(*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x y)) (*.f64 (+.f64 x y) (-.f64 x y))) (/.f64 #s(literal 1 binary64) (-.f64 x y)))
(*.f64 (/.f64 (+.f64 x y) (*.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) y))
(*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) x) (+.f64 x y)) (/.f64 #s(literal 1 binary64) y))
(*.f64 (/.f64 (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))) (*.f64 x (*.f64 y #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 y (-.f64 y x)))))
(*.f64 (/.f64 (*.f64 (+.f64 x y) (-.f64 x y)) (*.f64 x (*.f64 y #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 x y)))
(*.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 x y)) x) (/.f64 #s(literal 1 binary64) y))
(*.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 x y)) y) (/.f64 #s(literal 1 binary64) x))
(*.f64 (/.f64 (+.f64 x y) (*.f64 x y)) #s(literal 1/2 binary64))
(*.f64 (/.f64 (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))) x) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 y (-.f64 y x)))) (*.f64 y #s(literal 2 binary64))))
(*.f64 (/.f64 (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))) y) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 y (-.f64 y x)))) (*.f64 x #s(literal 2 binary64))))
(*.f64 (/.f64 (*.f64 (+.f64 x y) (-.f64 x y)) x) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 x y)) (*.f64 y #s(literal 2 binary64))))
(*.f64 (/.f64 (*.f64 (+.f64 x y) (-.f64 x y)) y) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 x y)) (*.f64 x #s(literal 2 binary64))))
(*.f64 (/.f64 (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))) #s(literal 2 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 y (-.f64 y x)))) (*.f64 x y)))
(*.f64 (/.f64 (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))) (*.f64 x y)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 y (-.f64 y x)))) #s(literal 2 binary64)))
(*.f64 (/.f64 (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))) (*.f64 y #s(literal 2 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 y (-.f64 y x)))) x))
(*.f64 (/.f64 (*.f64 (+.f64 x y) (-.f64 x y)) #s(literal 2 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 x y)) (*.f64 x y)))
(*.f64 (/.f64 (*.f64 (+.f64 x y) (-.f64 x y)) (*.f64 x y)) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 x y)) #s(literal 2 binary64)))
(*.f64 (/.f64 (*.f64 (+.f64 x y) (-.f64 x y)) (*.f64 y #s(literal 2 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 x y)) x))
(*.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1/2 binary64) y)) #s(literal 1/2 binary64)) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal -1/2 binary64) y)) (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -1 binary64) y))))
(*.f64 (/.f64 (+.f64 x y) (-.f64 #s(literal 0 binary64) x)) (/.f64 #s(literal -1/2 binary64) y))
(*.f64 (/.f64 (+.f64 x y) (-.f64 #s(literal 0 binary64) y)) (/.f64 #s(literal -1/2 binary64) x))
(*.f64 (/.f64 (+.f64 x y) #s(literal -1 binary64)) (/.f64 #s(literal -1/2 binary64) (*.f64 x y)))
(*.f64 (/.f64 (+.f64 x y) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x y)))
(*.f64 (/.f64 (+.f64 x y) (*.f64 y #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) x))

simplify259.0ms (3.6%)

Memory
-0.3MiB live, 453.5MiB allocated
Algorithm
1×egg-herbie
Rules
4 102×*-lowering-*.f32
4 102×*-lowering-*.f64
3 820×accelerator-lowering-fma.f32
3 820×accelerator-lowering-fma.f64
1 870×div-sub
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
038864
195864
2181864
3499864
41384864
52698864
64336864
75423864
86340864
97000864
107470864
08020852
Stop Event
1×iter limit
1×node limit
Counts
204 → 204
Calls
Call 1
Inputs
(/ 1/2 x)
(/ (+ 1/2 (* 1/2 (/ x y))) x)
(/ (+ 1/2 (* 1/2 (/ x y))) x)
(/ (+ 1/2 (* 1/2 (/ x y))) x)
(/ 1/2 y)
(+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y)))
(+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y)))
(+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y)))
(/ 1/2 y)
(+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y)))
(+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y)))
(+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y)))
(/ 1/2 y)
(/ (+ 1/2 (* 1/2 (/ y x))) y)
(/ (+ 1/2 (* 1/2 (/ y x))) y)
(/ (+ 1/2 (* 1/2 (/ y x))) y)
(/ 1/2 x)
(+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y)))
(+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y)))
(+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y)))
(/ 1/2 x)
(+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y)))
(+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y)))
(+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y)))
(/ 1/2 x)
(/ 1/2 x)
(/ 1/2 x)
(/ 1/2 x)
(/ 1/2 x)
(/ 1/2 x)
(/ 1/2 x)
(/ 1/2 x)
(/ 1/2 x)
(/ 1/2 x)
(/ 1/2 x)
(/ 1/2 x)
(/ 1/2 y)
(/ 1/2 y)
(/ 1/2 y)
(/ 1/2 y)
(/ 1/2 y)
(/ 1/2 y)
(/ 1/2 y)
(/ 1/2 y)
(/ 1/2 y)
(/ 1/2 y)
(/ 1/2 y)
(/ 1/2 y)
(/ 1/2 x)
(/ 1/2 x)
(/ 1/2 x)
(/ 1/2 x)
(/ 1/2 x)
(/ 1/2 x)
(/ 1/2 x)
(/ 1/2 x)
(/ 1/2 x)
(/ 1/2 x)
(/ 1/2 x)
(/ 1/2 x)
(/ 1/2 x)
(/ 1/2 x)
(/ 1/2 x)
(/ 1/2 x)
(/ 1/2 x)
(/ 1/2 x)
(/ 1/2 x)
(/ 1/2 x)
(/ 1/2 x)
(/ 1/2 x)
(/ 1/2 x)
(/ 1/2 x)
(* 2 (* x y))
(* 2 (* x y))
(* 2 (* x y))
(* 2 (* x y))
(* 2 (* x y))
(* 2 (* x y))
(* 2 (* x y))
(* 2 (* x y))
(* 2 (* x y))
(* 2 (* x y))
(* 2 (* x y))
(* 2 (* x y))
(* 2 (* x y))
(* 2 (* x y))
(* 2 (* x y))
(* 2 (* x y))
(* 2 (* x y))
(* 2 (* x y))
(* 2 (* x y))
(* 2 (* x y))
(* 2 (* x y))
(* 2 (* x y))
(* 2 (* x y))
(* 2 (* x y))
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(/ 1/2 (* x y))
(/ 1/2 (* x y))
(/ 1/2 (* x y))
(/ 1/2 (* x y))
(/ 1/2 (* x y))
(/ 1/2 (* x y))
(/ 1/2 (* x y))
(/ 1/2 (* x y))
(/ 1/2 (* x y))
(/ 1/2 (* x y))
(/ 1/2 (* x y))
(/ 1/2 (* x y))
(/ 1/2 (* x y))
(/ 1/2 (* x y))
(/ 1/2 (* x y))
(/ 1/2 (* x y))
(/ 1/2 (* x y))
(/ 1/2 (* x y))
(/ 1/2 (* x y))
(/ 1/2 (* x y))
(/ 1/2 (* x y))
(/ 1/2 (* x y))
(/ 1/2 (* x y))
(/ 1/2 (* x 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)
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)))
(/ 1/2 x)
(/ (+ 1/2 (* 1/2 (/ x y))) x)
(/ (+ 1/2 (* 1/2 (/ x y))) x)
(/ (+ 1/2 (* 1/2 (/ x y))) x)
(/ 1/2 y)
(+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y)))
(+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y)))
(+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y)))
(/ 1/2 y)
(+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y)))
(+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y)))
(+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y)))
(/ 1/2 y)
(/ (+ 1/2 (* 1/2 (/ y x))) y)
(/ (+ 1/2 (* 1/2 (/ y x))) y)
(/ (+ 1/2 (* 1/2 (/ y x))) y)
(/ 1/2 x)
(+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y)))
(+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y)))
(+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y)))
(/ 1/2 x)
(+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y)))
(+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y)))
(+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y)))
Outputs
(/ 1/2 x)
(/.f64 #s(literal 1/2 binary64) x)
(/ (+ 1/2 (* 1/2 (/ x y))) x)
(/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal 1/2 binary64)) x)
(/ (+ 1/2 (* 1/2 (/ x y))) x)
(/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal 1/2 binary64)) x)
(/ (+ 1/2 (* 1/2 (/ x y))) x)
(/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal 1/2 binary64)) x)
(/ 1/2 y)
(/.f64 #s(literal 1/2 binary64) y)
(+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y)))
(fma.f64 (/.f64 #s(literal 1/2 binary64) (fma.f64 x y #s(literal 0 binary64))) (+.f64 x y) #s(literal 0 binary64))
(+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y)))
(fma.f64 (/.f64 #s(literal 1/2 binary64) (fma.f64 x y #s(literal 0 binary64))) (+.f64 x y) #s(literal 0 binary64))
(+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y)))
(fma.f64 (/.f64 #s(literal 1/2 binary64) (fma.f64 x y #s(literal 0 binary64))) (+.f64 x y) #s(literal 0 binary64))
(/ 1/2 y)
(/.f64 #s(literal 1/2 binary64) y)
(+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y)))
(fma.f64 (/.f64 #s(literal 1/2 binary64) (fma.f64 x y #s(literal 0 binary64))) (+.f64 x y) #s(literal 0 binary64))
(+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y)))
(fma.f64 (/.f64 #s(literal 1/2 binary64) (fma.f64 x y #s(literal 0 binary64))) (+.f64 x y) #s(literal 0 binary64))
(+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y)))
(fma.f64 (/.f64 #s(literal 1/2 binary64) (fma.f64 x y #s(literal 0 binary64))) (+.f64 x y) #s(literal 0 binary64))
(/ 1/2 y)
(/.f64 #s(literal 1/2 binary64) y)
(/ (+ 1/2 (* 1/2 (/ y x))) y)
(/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 y x) #s(literal 1/2 binary64)) y)
(/ (+ 1/2 (* 1/2 (/ y x))) y)
(/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 y x) #s(literal 1/2 binary64)) y)
(/ (+ 1/2 (* 1/2 (/ y x))) y)
(/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 y x) #s(literal 1/2 binary64)) y)
(/ 1/2 x)
(/.f64 #s(literal 1/2 binary64) x)
(+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y)))
(fma.f64 (/.f64 #s(literal 1/2 binary64) (fma.f64 x y #s(literal 0 binary64))) (+.f64 x y) #s(literal 0 binary64))
(+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y)))
(fma.f64 (/.f64 #s(literal 1/2 binary64) (fma.f64 x y #s(literal 0 binary64))) (+.f64 x y) #s(literal 0 binary64))
(+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y)))
(fma.f64 (/.f64 #s(literal 1/2 binary64) (fma.f64 x y #s(literal 0 binary64))) (+.f64 x y) #s(literal 0 binary64))
(/ 1/2 x)
(/.f64 #s(literal 1/2 binary64) x)
(+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y)))
(fma.f64 (/.f64 #s(literal 1/2 binary64) (fma.f64 x y #s(literal 0 binary64))) (+.f64 x y) #s(literal 0 binary64))
(+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y)))
(fma.f64 (/.f64 #s(literal 1/2 binary64) (fma.f64 x y #s(literal 0 binary64))) (+.f64 x y) #s(literal 0 binary64))
(+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y)))
(fma.f64 (/.f64 #s(literal 1/2 binary64) (fma.f64 x y #s(literal 0 binary64))) (+.f64 x y) #s(literal 0 binary64))
(/ 1/2 x)
(/.f64 #s(literal 1/2 binary64) x)
(/ 1/2 x)
(/.f64 #s(literal 1/2 binary64) x)
(/ 1/2 x)
(/.f64 #s(literal 1/2 binary64) x)
(/ 1/2 x)
(/.f64 #s(literal 1/2 binary64) x)
(/ 1/2 x)
(/.f64 #s(literal 1/2 binary64) x)
(/ 1/2 x)
(/.f64 #s(literal 1/2 binary64) x)
(/ 1/2 x)
(/.f64 #s(literal 1/2 binary64) x)
(/ 1/2 x)
(/.f64 #s(literal 1/2 binary64) x)
(/ 1/2 x)
(/.f64 #s(literal 1/2 binary64) x)
(/ 1/2 x)
(/.f64 #s(literal 1/2 binary64) x)
(/ 1/2 x)
(/.f64 #s(literal 1/2 binary64) x)
(/ 1/2 x)
(/.f64 #s(literal 1/2 binary64) x)
(/ 1/2 y)
(/.f64 #s(literal 1/2 binary64) y)
(/ 1/2 y)
(/.f64 #s(literal 1/2 binary64) y)
(/ 1/2 y)
(/.f64 #s(literal 1/2 binary64) y)
(/ 1/2 y)
(/.f64 #s(literal 1/2 binary64) y)
(/ 1/2 y)
(/.f64 #s(literal 1/2 binary64) y)
(/ 1/2 y)
(/.f64 #s(literal 1/2 binary64) y)
(/ 1/2 y)
(/.f64 #s(literal 1/2 binary64) y)
(/ 1/2 y)
(/.f64 #s(literal 1/2 binary64) y)
(/ 1/2 y)
(/.f64 #s(literal 1/2 binary64) y)
(/ 1/2 y)
(/.f64 #s(literal 1/2 binary64) y)
(/ 1/2 y)
(/.f64 #s(literal 1/2 binary64) y)
(/ 1/2 y)
(/.f64 #s(literal 1/2 binary64) y)
(/ 1/2 x)
(/.f64 #s(literal 1/2 binary64) x)
(/ 1/2 x)
(/.f64 #s(literal 1/2 binary64) x)
(/ 1/2 x)
(/.f64 #s(literal 1/2 binary64) x)
(/ 1/2 x)
(/.f64 #s(literal 1/2 binary64) x)
(/ 1/2 x)
(/.f64 #s(literal 1/2 binary64) x)
(/ 1/2 x)
(/.f64 #s(literal 1/2 binary64) x)
(/ 1/2 x)
(/.f64 #s(literal 1/2 binary64) x)
(/ 1/2 x)
(/.f64 #s(literal 1/2 binary64) x)
(/ 1/2 x)
(/.f64 #s(literal 1/2 binary64) x)
(/ 1/2 x)
(/.f64 #s(literal 1/2 binary64) x)
(/ 1/2 x)
(/.f64 #s(literal 1/2 binary64) x)
(/ 1/2 x)
(/.f64 #s(literal 1/2 binary64) x)
(/ 1/2 x)
(/.f64 #s(literal 1/2 binary64) x)
(/ 1/2 x)
(/.f64 #s(literal 1/2 binary64) x)
(/ 1/2 x)
(/.f64 #s(literal 1/2 binary64) x)
(/ 1/2 x)
(/.f64 #s(literal 1/2 binary64) x)
(/ 1/2 x)
(/.f64 #s(literal 1/2 binary64) x)
(/ 1/2 x)
(/.f64 #s(literal 1/2 binary64) x)
(/ 1/2 x)
(/.f64 #s(literal 1/2 binary64) x)
(/ 1/2 x)
(/.f64 #s(literal 1/2 binary64) x)
(/ 1/2 x)
(/.f64 #s(literal 1/2 binary64) x)
(/ 1/2 x)
(/.f64 #s(literal 1/2 binary64) x)
(/ 1/2 x)
(/.f64 #s(literal 1/2 binary64) x)
(/ 1/2 x)
(/.f64 #s(literal 1/2 binary64) x)
(* 2 (* x y))
(fma.f64 x (fma.f64 y #s(literal 2 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))
(* 2 (* x y))
(fma.f64 x (fma.f64 y #s(literal 2 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))
(* 2 (* x y))
(fma.f64 x (fma.f64 y #s(literal 2 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))
(* 2 (* x y))
(fma.f64 x (fma.f64 y #s(literal 2 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))
(* 2 (* x y))
(fma.f64 x (fma.f64 y #s(literal 2 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))
(* 2 (* x y))
(fma.f64 x (fma.f64 y #s(literal 2 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))
(* 2 (* x y))
(fma.f64 x (fma.f64 y #s(literal 2 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))
(* 2 (* x y))
(fma.f64 x (fma.f64 y #s(literal 2 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))
(* 2 (* x y))
(fma.f64 x (fma.f64 y #s(literal 2 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))
(* 2 (* x y))
(fma.f64 x (fma.f64 y #s(literal 2 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))
(* 2 (* x y))
(fma.f64 x (fma.f64 y #s(literal 2 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))
(* 2 (* x y))
(fma.f64 x (fma.f64 y #s(literal 2 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))
(* 2 (* x y))
(fma.f64 x (fma.f64 y #s(literal 2 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))
(* 2 (* x y))
(fma.f64 x (fma.f64 y #s(literal 2 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))
(* 2 (* x y))
(fma.f64 x (fma.f64 y #s(literal 2 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))
(* 2 (* x y))
(fma.f64 x (fma.f64 y #s(literal 2 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))
(* 2 (* x y))
(fma.f64 x (fma.f64 y #s(literal 2 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))
(* 2 (* x y))
(fma.f64 x (fma.f64 y #s(literal 2 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))
(* 2 (* x y))
(fma.f64 x (fma.f64 y #s(literal 2 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))
(* 2 (* x y))
(fma.f64 x (fma.f64 y #s(literal 2 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))
(* 2 (* x y))
(fma.f64 x (fma.f64 y #s(literal 2 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))
(* 2 (* x y))
(fma.f64 x (fma.f64 y #s(literal 2 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))
(* 2 (* x y))
(fma.f64 x (fma.f64 y #s(literal 2 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))
(* 2 (* x y))
(fma.f64 x (fma.f64 y #s(literal 2 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))
(* 2 x)
(fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64))
(* 2 x)
(fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64))
(* 2 x)
(fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64))
(* 2 x)
(fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64))
(* 2 x)
(fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64))
(* 2 x)
(fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64))
(* 2 x)
(fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64))
(* 2 x)
(fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64))
(* 2 x)
(fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64))
(* 2 x)
(fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64))
(* 2 x)
(fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64))
(* 2 x)
(fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64))
(/ 1/2 (* x y))
(/.f64 #s(literal 1/2 binary64) (fma.f64 x y #s(literal 0 binary64)))
(/ 1/2 (* x y))
(/.f64 #s(literal 1/2 binary64) (fma.f64 x y #s(literal 0 binary64)))
(/ 1/2 (* x y))
(/.f64 #s(literal 1/2 binary64) (fma.f64 x y #s(literal 0 binary64)))
(/ 1/2 (* x y))
(/.f64 #s(literal 1/2 binary64) (fma.f64 x y #s(literal 0 binary64)))
(/ 1/2 (* x y))
(/.f64 #s(literal 1/2 binary64) (fma.f64 x y #s(literal 0 binary64)))
(/ 1/2 (* x y))
(/.f64 #s(literal 1/2 binary64) (fma.f64 x y #s(literal 0 binary64)))
(/ 1/2 (* x y))
(/.f64 #s(literal 1/2 binary64) (fma.f64 x y #s(literal 0 binary64)))
(/ 1/2 (* x y))
(/.f64 #s(literal 1/2 binary64) (fma.f64 x y #s(literal 0 binary64)))
(/ 1/2 (* x y))
(/.f64 #s(literal 1/2 binary64) (fma.f64 x y #s(literal 0 binary64)))
(/ 1/2 (* x y))
(/.f64 #s(literal 1/2 binary64) (fma.f64 x y #s(literal 0 binary64)))
(/ 1/2 (* x y))
(/.f64 #s(literal 1/2 binary64) (fma.f64 x y #s(literal 0 binary64)))
(/ 1/2 (* x y))
(/.f64 #s(literal 1/2 binary64) (fma.f64 x y #s(literal 0 binary64)))
(/ 1/2 (* x y))
(/.f64 #s(literal 1/2 binary64) (fma.f64 x y #s(literal 0 binary64)))
(/ 1/2 (* x y))
(/.f64 #s(literal 1/2 binary64) (fma.f64 x y #s(literal 0 binary64)))
(/ 1/2 (* x y))
(/.f64 #s(literal 1/2 binary64) (fma.f64 x y #s(literal 0 binary64)))
(/ 1/2 (* x y))
(/.f64 #s(literal 1/2 binary64) (fma.f64 x y #s(literal 0 binary64)))
(/ 1/2 (* x y))
(/.f64 #s(literal 1/2 binary64) (fma.f64 x y #s(literal 0 binary64)))
(/ 1/2 (* x y))
(/.f64 #s(literal 1/2 binary64) (fma.f64 x y #s(literal 0 binary64)))
(/ 1/2 (* x y))
(/.f64 #s(literal 1/2 binary64) (fma.f64 x y #s(literal 0 binary64)))
(/ 1/2 (* x y))
(/.f64 #s(literal 1/2 binary64) (fma.f64 x y #s(literal 0 binary64)))
(/ 1/2 (* x y))
(/.f64 #s(literal 1/2 binary64) (fma.f64 x y #s(literal 0 binary64)))
(/ 1/2 (* x y))
(/.f64 #s(literal 1/2 binary64) (fma.f64 x y #s(literal 0 binary64)))
(/ 1/2 (* x y))
(/.f64 #s(literal 1/2 binary64) (fma.f64 x y #s(literal 0 binary64)))
(/ 1/2 (* x y))
(/.f64 #s(literal 1/2 binary64) (fma.f64 x y #s(literal 0 binary64)))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
y
(+ x y)
(+.f64 x y)
(+ x y)
(+.f64 x y)
(+ x y)
(+.f64 x y)
x
(* x (+ 1 (/ y x)))
(+.f64 x y)
(* x (+ 1 (/ y x)))
(+.f64 x y)
(* x (+ 1 (/ y x)))
(+.f64 x y)
x
(* -1 (* x (- (* -1 (/ y x)) 1)))
(+.f64 x y)
(* -1 (* x (- (* -1 (/ y x)) 1)))
(+.f64 x y)
(* -1 (* x (- (* -1 (/ y x)) 1)))
(+.f64 x y)
x
(+ x y)
(+.f64 x y)
(+ x y)
(+.f64 x y)
(+ x y)
(+.f64 x y)
y
(* y (+ 1 (/ x y)))
(+.f64 x y)
(* y (+ 1 (/ x y)))
(+.f64 x y)
(* y (+ 1 (/ x y)))
(+.f64 x y)
y
(* -1 (* y (- (* -1 (/ x y)) 1)))
(+.f64 x y)
(* -1 (* y (- (* -1 (/ x y)) 1)))
(+.f64 x y)
(* -1 (* y (- (* -1 (/ x y)) 1)))
(+.f64 x y)
(/ 1/2 x)
(/.f64 #s(literal 1/2 binary64) x)
(/ (+ 1/2 (* 1/2 (/ x y))) x)
(/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal 1/2 binary64)) x)
(/ (+ 1/2 (* 1/2 (/ x y))) x)
(/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal 1/2 binary64)) x)
(/ (+ 1/2 (* 1/2 (/ x y))) x)
(/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal 1/2 binary64)) x)
(/ 1/2 y)
(/.f64 #s(literal 1/2 binary64) y)
(+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y)))
(fma.f64 (/.f64 #s(literal 1/2 binary64) (fma.f64 x y #s(literal 0 binary64))) (+.f64 x y) #s(literal 0 binary64))
(+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y)))
(fma.f64 (/.f64 #s(literal 1/2 binary64) (fma.f64 x y #s(literal 0 binary64))) (+.f64 x y) #s(literal 0 binary64))
(+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y)))
(fma.f64 (/.f64 #s(literal 1/2 binary64) (fma.f64 x y #s(literal 0 binary64))) (+.f64 x y) #s(literal 0 binary64))
(/ 1/2 y)
(/.f64 #s(literal 1/2 binary64) y)
(+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y)))
(fma.f64 (/.f64 #s(literal 1/2 binary64) (fma.f64 x y #s(literal 0 binary64))) (+.f64 x y) #s(literal 0 binary64))
(+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y)))
(fma.f64 (/.f64 #s(literal 1/2 binary64) (fma.f64 x y #s(literal 0 binary64))) (+.f64 x y) #s(literal 0 binary64))
(+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y)))
(fma.f64 (/.f64 #s(literal 1/2 binary64) (fma.f64 x y #s(literal 0 binary64))) (+.f64 x y) #s(literal 0 binary64))
(/ 1/2 y)
(/.f64 #s(literal 1/2 binary64) y)
(/ (+ 1/2 (* 1/2 (/ y x))) y)
(/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 y x) #s(literal 1/2 binary64)) y)
(/ (+ 1/2 (* 1/2 (/ y x))) y)
(/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 y x) #s(literal 1/2 binary64)) y)
(/ (+ 1/2 (* 1/2 (/ y x))) y)
(/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 y x) #s(literal 1/2 binary64)) y)
(/ 1/2 x)
(/.f64 #s(literal 1/2 binary64) x)
(+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y)))
(fma.f64 (/.f64 #s(literal 1/2 binary64) (fma.f64 x y #s(literal 0 binary64))) (+.f64 x y) #s(literal 0 binary64))
(+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y)))
(fma.f64 (/.f64 #s(literal 1/2 binary64) (fma.f64 x y #s(literal 0 binary64))) (+.f64 x y) #s(literal 0 binary64))
(+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y)))
(fma.f64 (/.f64 #s(literal 1/2 binary64) (fma.f64 x y #s(literal 0 binary64))) (+.f64 x y) #s(literal 0 binary64))
(/ 1/2 x)
(/.f64 #s(literal 1/2 binary64) x)
(+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y)))
(fma.f64 (/.f64 #s(literal 1/2 binary64) (fma.f64 x y #s(literal 0 binary64))) (+.f64 x y) #s(literal 0 binary64))
(+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y)))
(fma.f64 (/.f64 #s(literal 1/2 binary64) (fma.f64 x y #s(literal 0 binary64))) (+.f64 x y) #s(literal 0 binary64))
(+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y)))
(fma.f64 (/.f64 #s(literal 1/2 binary64) (fma.f64 x y #s(literal 0 binary64))) (+.f64 x y) #s(literal 0 binary64))

eval957.0ms (13.4%)

Memory
1.2MiB live, 429.5MiB allocated
Compiler

Compiled 25 652 to 1 794 computations (93% saved)

prune291.0ms (4.1%)

Memory
1.8MiB live, 284.7MiB allocated
Pruning

6 alts after pruning (1 fresh and 5 done)

PrunedKeptTotal
New1 64701 647
Fresh011
Picked055
Done000
Total1 64761 653
Accuracy
100.0%
Counts
1 653 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶88.2%
(/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 y x) #s(literal 1/2 binary64)) y)
✓39.9%
(/.f64 y (*.f64 (*.f64 x #s(literal 2 binary64)) y))
✓52.2%
(/.f64 #s(literal 1/2 binary64) y)
✓49.7%
(/.f64 #s(literal 1/2 binary64) x)
✓100.0%
(+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1/2 binary64) y))
✓78.0%
(*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x y)) (+.f64 x y))
Compiler

Compiled 49 to 33 computations (32.7% saved)

simplify470.0ms (6.6%)

Memory
2.8MiB live, 367.7MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 3 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(/.f64 y x)
✓cost-diff0
(fma.f64 #s(literal 1/2 binary64) (/.f64 y x) #s(literal 1/2 binary64))
✓cost-diff192
(/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 y x) #s(literal 1/2 binary64)) y)
Rules
7 194×*-lowering-*.f32
7 194×*-lowering-*.f64
3 738×accelerator-lowering-fma.f32
3 738×accelerator-lowering-fma.f64
2 918×cube-prod
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0722
11122
21622
32422
43022
53922
64822
77920
812420
924120
1067420
11163220
12225820
13290720
14363820
15406820
16457220
17521620
18580020
19603420
20614720
21622220
22629620
23675820
24788820
0800819
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(/ (+ (* 1/2 (/ y x)) 1/2) y)
(+ (* 1/2 (/ y x)) 1/2)
1/2
(/ y x)
y
x
Outputs
(/ (+ (* 1/2 (/ y x)) 1/2) y)
(+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1/2 binary64) y))
(+ (* 1/2 (/ y x)) 1/2)
(fma.f64 #s(literal 1/2 binary64) (/.f64 y x) #s(literal 1/2 binary64))
1/2
#s(literal 1/2 binary64)
(/ y x)
(/.f64 y x)
y
x

localize24.0ms (0.3%)

Memory
11.8MiB live, 49.7MiB allocated
Localize:

Found 3 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(fma.f64 #s(literal 1/2 binary64) (/.f64 y x) #s(literal 1/2 binary64))
✓accuracy100.0%
(/.f64 y x)
✓accuracy88.2%
(/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 y x) #s(literal 1/2 binary64)) y)
Samples
16.0ms256×0valid
Compiler

Compiled 22 to 9 computations (59.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 9.0ms
ival-div: 4.0ms (42.5% of total)
ival-add: 3.0ms (31.8% of total)
ival-mult: 2.0ms (21.2% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series6.0ms (0.1%)

Memory
-28.2MiB live, 10.3MiB allocated
Counts
3 → 72
Calls
Call 1
Inputs
#<alt (/ (+ (* 1/2 (/ y x)) 1/2) y)>
#<alt (+ (* 1/2 (/ y x)) 1/2)>
#<alt (/ y x)>
Outputs
#<alt (/ 1/2 y)>
#<alt (/ (+ 1/2 (* 1/2 (/ y x))) y)>
#<alt (/ (+ 1/2 (* 1/2 (/ y x))) y)>
#<alt (/ (+ 1/2 (* 1/2 (/ y x))) y)>
#<alt (/ 1/2 x)>
#<alt (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y)))>
#<alt (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y)))>
#<alt (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y)))>
#<alt (/ 1/2 x)>
#<alt (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y)))>
#<alt (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y)))>
#<alt (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y)))>
#<alt (/ 1/2 x)>
#<alt (/ (+ 1/2 (* 1/2 (/ x y))) x)>
#<alt (/ (+ 1/2 (* 1/2 (/ x y))) x)>
#<alt (/ (+ 1/2 (* 1/2 (/ x y))) x)>
#<alt (/ 1/2 y)>
#<alt (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y)))>
#<alt (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y)))>
#<alt (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y)))>
#<alt (/ 1/2 y)>
#<alt (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y)))>
#<alt (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y)))>
#<alt (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y)))>
#<alt 1/2>
#<alt (+ 1/2 (* 1/2 (/ y x)))>
#<alt (+ 1/2 (* 1/2 (/ y x)))>
#<alt (+ 1/2 (* 1/2 (/ y x)))>
#<alt (* 1/2 (/ y x))>
#<alt (* y (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y))))>
#<alt (* y (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y))))>
#<alt (* y (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y))))>
#<alt (* 1/2 (/ y x))>
#<alt (* y (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y))))>
#<alt (* y (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y))))>
#<alt (* y (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y))))>
#<alt (* 1/2 (/ y x))>
#<alt (/ (+ (* 1/2 x) (* 1/2 y)) x)>
#<alt (/ (+ (* 1/2 x) (* 1/2 y)) x)>
#<alt (/ (+ (* 1/2 x) (* 1/2 y)) x)>
#<alt 1/2>
#<alt (+ 1/2 (* 1/2 (/ y x)))>
#<alt (+ 1/2 (* 1/2 (/ y x)))>
#<alt (+ 1/2 (* 1/2 (/ y x)))>
#<alt 1/2>
#<alt (+ 1/2 (* 1/2 (/ y x)))>
#<alt (+ 1/2 (* 1/2 (/ y x)))>
#<alt (+ 1/2 (* 1/2 (/ y x)))>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
Calls

18 calls:

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

rewrite570.0ms (8%)

Memory
-2.1MiB live, 531.1MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
4 678×/-lowering-/.f32
4 678×/-lowering-/.f64
3 990×accelerator-lowering-fma.f32
3 990×accelerator-lowering-fma.f64
3 496×*-lowering-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0719
14019
227019
3312519
0854217
Stop Event
1×iter limit
1×node limit
Counts
3 → 387
Calls
Call 1
Inputs
(/ (+ (* 1/2 (/ y x)) 1/2) y)
(+ (* 1/2 (/ y x)) 1/2)
(/ y x)
Outputs
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1/2 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 #s(literal 1/2 binary64) (/.f64 y x))))
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 #s(literal 1/2 binary64) (/.f64 y x))) (*.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1/2 binary64)))
(+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)) (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 y x)) (/.f64 #s(literal 1 binary64) y)))
(+.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 y x)) (/.f64 #s(literal 1 binary64) y)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)))
(exp.f64 (*.f64 (log.f64 (/.f64 y (fma.f64 #s(literal 1/2 binary64) (/.f64 y x) #s(literal 1/2 binary64)))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 (fma.f64 (/.f64 y x) #s(literal -1/2 binary64) #s(literal -1/2 binary64)) y))
(-.f64 (/.f64 #s(literal 0 binary64) y) (/.f64 (fma.f64 (/.f64 y x) #s(literal -1/2 binary64) #s(literal -1/2 binary64)) y))
(-.f64 (/.f64 (/.f64 (*.f64 y (*.f64 y #s(literal 1/4 binary64))) (*.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 y x) #s(literal -1/2 binary64)) (*.f64 x x))) y) (/.f64 (/.f64 #s(literal -1/4 binary64) (fma.f64 (/.f64 y x) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) y))
(-.f64 (/.f64 (/.f64 (*.f64 y (*.f64 y #s(literal 1/4 binary64))) (*.f64 x x)) (*.f64 y (fma.f64 #s(literal 1/2 binary64) (/.f64 y x) #s(literal -1/2 binary64)))) (/.f64 #s(literal 1/4 binary64) (*.f64 y (fma.f64 #s(literal 1/2 binary64) (/.f64 y x) #s(literal -1/2 binary64)))))
(-.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 y x)) (-.f64 #s(literal 0 binary64) y)))
(-.f64 (/.f64 (/.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 y #s(literal -1/2 binary64)) x))) y) (/.f64 (/.f64 (/.f64 (*.f64 y (*.f64 y #s(literal 1/4 binary64))) (*.f64 x x)) (+.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 y #s(literal -1/2 binary64)) x))) y))
(-.f64 (/.f64 (/.f64 (*.f64 y #s(literal -1/2 binary64)) x) (-.f64 #s(literal 0 binary64) y)) (/.f64 #s(literal -1/2 binary64) y))
(-.f64 (/.f64 (/.f64 (/.f64 (*.f64 y (*.f64 y #s(literal 1/4 binary64))) (*.f64 x x)) (fma.f64 (/.f64 y x) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (-.f64 #s(literal 0 binary64) y)) (/.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 (/.f64 y x) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (-.f64 #s(literal 0 binary64) y)))
(-.f64 (/.f64 (/.f64 (/.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 1/64 binary64))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) (fma.f64 (*.f64 y (*.f64 y y)) (/.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x))) #s(literal -1/8 binary64))) (*.f64 y (fma.f64 (/.f64 y x) (-.f64 (*.f64 (/.f64 y x) #s(literal 1/4 binary64)) #s(literal 1/4 binary64)) #s(literal 1/4 binary64)))) (/.f64 (/.f64 #s(literal 1/64 binary64) (fma.f64 (*.f64 y (*.f64 y y)) (/.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x))) #s(literal -1/8 binary64))) (*.f64 y (fma.f64 (/.f64 y x) (-.f64 (*.f64 (/.f64 y x) #s(literal 1/4 binary64)) #s(literal 1/4 binary64)) #s(literal 1/4 binary64)))))
(-.f64 (/.f64 (/.f64 (/.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 1/64 binary64))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) (fma.f64 (*.f64 y (*.f64 y y)) (/.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x))) #s(literal -1/8 binary64))) (*.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (/.f64 y x) (-.f64 (*.f64 (/.f64 y x) #s(literal 1/4 binary64)) #s(literal 1/4 binary64)) #s(literal 1/4 binary64))) (-.f64 #s(literal 0 binary64) y))) (/.f64 (/.f64 #s(literal 1/64 binary64) (fma.f64 (*.f64 y (*.f64 y y)) (/.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x))) #s(literal -1/8 binary64))) (*.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (/.f64 y x) (-.f64 (*.f64 (/.f64 y x) #s(literal 1/4 binary64)) #s(literal 1/4 binary64)) #s(literal 1/4 binary64))) (-.f64 #s(literal 0 binary64) y))))
(-.f64 (/.f64 (/.f64 (/.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 1/64 binary64))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) (fma.f64 (*.f64 y (*.f64 y y)) (/.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x))) #s(literal -1/8 binary64))) (*.f64 (-.f64 #s(literal 0 binary64) y) (-.f64 #s(literal 0 binary64) (fma.f64 (/.f64 y x) (-.f64 (*.f64 (/.f64 y x) #s(literal 1/4 binary64)) #s(literal 1/4 binary64)) #s(literal 1/4 binary64))))) (/.f64 (/.f64 #s(literal 1/64 binary64) (fma.f64 (*.f64 y (*.f64 y y)) (/.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x))) #s(literal -1/8 binary64))) (*.f64 (-.f64 #s(literal 0 binary64) y) (-.f64 #s(literal 0 binary64) (fma.f64 (/.f64 y x) (-.f64 (*.f64 (/.f64 y x) #s(literal 1/4 binary64)) #s(literal 1/4 binary64)) #s(literal 1/4 binary64))))))
(-.f64 (/.f64 (/.f64 (/.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 1/64 binary64))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) (fma.f64 #s(literal 1/16 binary64) (*.f64 (/.f64 (*.f64 y y) (*.f64 x x)) (/.f64 (*.f64 y y) (*.f64 x x))) (fma.f64 #s(literal 1/16 binary64) (/.f64 (*.f64 y y) (*.f64 x x)) #s(literal 1/16 binary64)))) (*.f64 y (fma.f64 #s(literal 1/2 binary64) (/.f64 y x) #s(literal -1/2 binary64)))) (/.f64 (/.f64 #s(literal 1/64 binary64) (fma.f64 #s(literal 1/16 binary64) (*.f64 (/.f64 (*.f64 y y) (*.f64 x x)) (/.f64 (*.f64 y y) (*.f64 x x))) (fma.f64 #s(literal 1/16 binary64) (/.f64 (*.f64 y y) (*.f64 x x)) #s(literal 1/16 binary64)))) (*.f64 y (fma.f64 #s(literal 1/2 binary64) (/.f64 y x) #s(literal -1/2 binary64)))))
(-.f64 (/.f64 (/.f64 (/.f64 (*.f64 (*.f64 y (*.f64 y #s(literal 1/4 binary64))) (*.f64 y (*.f64 y #s(literal 1/4 binary64)))) (*.f64 (*.f64 x x) (*.f64 x x))) (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 y y) (*.f64 x x)) #s(literal 1/4 binary64))) (*.f64 y (fma.f64 #s(literal 1/2 binary64) (/.f64 y x) #s(literal -1/2 binary64)))) (/.f64 (/.f64 #s(literal 1/16 binary64) (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 y y) (*.f64 x x)) #s(literal 1/4 binary64))) (*.f64 y (fma.f64 #s(literal 1/2 binary64) (/.f64 y x) #s(literal -1/2 binary64)))))
(-.f64 (/.f64 (/.f64 (*.f64 y (*.f64 y #s(literal 1/4 binary64))) (*.f64 x x)) (*.f64 (fma.f64 (/.f64 y x) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (-.f64 #s(literal 0 binary64) y))) (/.f64 #s(literal 1/4 binary64) (*.f64 (fma.f64 (/.f64 y x) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (-.f64 #s(literal 0 binary64) y))))
(-.f64 (/.f64 (/.f64 (/.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 1/64 binary64))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) (fma.f64 #s(literal 1/16 binary64) (*.f64 (/.f64 (*.f64 y y) (*.f64 x x)) (/.f64 (*.f64 y y) (*.f64 x x))) (fma.f64 #s(literal 1/16 binary64) (/.f64 (*.f64 y y) (*.f64 x x)) #s(literal 1/16 binary64)))) (*.f64 (fma.f64 (/.f64 y x) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (-.f64 #s(literal 0 binary64) y))) (/.f64 (/.f64 #s(literal 1/64 binary64) (fma.f64 #s(literal 1/16 binary64) (*.f64 (/.f64 (*.f64 y y) (*.f64 x x)) (/.f64 (*.f64 y y) (*.f64 x x))) (fma.f64 #s(literal 1/16 binary64) (/.f64 (*.f64 y y) (*.f64 x x)) #s(literal 1/16 binary64)))) (*.f64 (fma.f64 (/.f64 y x) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (-.f64 #s(literal 0 binary64) y))))
(-.f64 (/.f64 (/.f64 (/.f64 (*.f64 (*.f64 y (*.f64 y #s(literal 1/4 binary64))) (*.f64 y (*.f64 y #s(literal 1/4 binary64)))) (*.f64 (*.f64 x x) (*.f64 x x))) (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 y y) (*.f64 x x)) #s(literal 1/4 binary64))) (*.f64 (fma.f64 (/.f64 y x) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (-.f64 #s(literal 0 binary64) y))) (/.f64 (/.f64 #s(literal 1/16 binary64) (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 y y) (*.f64 x x)) #s(literal 1/4 binary64))) (*.f64 (fma.f64 (/.f64 y x) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (-.f64 #s(literal 0 binary64) y))))
(-.f64 (/.f64 (/.f64 (*.f64 y (*.f64 y #s(literal 1/4 binary64))) (*.f64 x x)) (*.f64 (-.f64 #s(literal 0 binary64) y) (fma.f64 (/.f64 y x) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (/.f64 #s(literal 1/4 binary64) (*.f64 (-.f64 #s(literal 0 binary64) y) (fma.f64 (/.f64 y x) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))
(-.f64 (/.f64 (/.f64 (/.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 1/64 binary64))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) (fma.f64 #s(literal 1/16 binary64) (*.f64 (/.f64 (*.f64 y y) (*.f64 x x)) (/.f64 (*.f64 y y) (*.f64 x x))) (fma.f64 #s(literal 1/16 binary64) (/.f64 (*.f64 y y) (*.f64 x x)) #s(literal 1/16 binary64)))) (*.f64 (-.f64 #s(literal 0 binary64) y) (fma.f64 (/.f64 y x) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (/.f64 (/.f64 #s(literal 1/64 binary64) (fma.f64 #s(literal 1/16 binary64) (*.f64 (/.f64 (*.f64 y y) (*.f64 x x)) (/.f64 (*.f64 y y) (*.f64 x x))) (fma.f64 #s(literal 1/16 binary64) (/.f64 (*.f64 y y) (*.f64 x x)) #s(literal 1/16 binary64)))) (*.f64 (-.f64 #s(literal 0 binary64) y) (fma.f64 (/.f64 y x) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))
(-.f64 (/.f64 (/.f64 (/.f64 (*.f64 (*.f64 y (*.f64 y #s(literal 1/4 binary64))) (*.f64 y (*.f64 y #s(literal 1/4 binary64)))) (*.f64 (*.f64 x x) (*.f64 x x))) (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 y y) (*.f64 x x)) #s(literal 1/4 binary64))) (*.f64 (-.f64 #s(literal 0 binary64) y) (fma.f64 (/.f64 y x) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (/.f64 (/.f64 #s(literal 1/16 binary64) (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 y y) (*.f64 x x)) #s(literal 1/4 binary64))) (*.f64 (-.f64 #s(literal 0 binary64) y) (fma.f64 (/.f64 y x) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 y (-.f64 #s(literal 0 binary64) (fma.f64 (/.f64 y x) (-.f64 (*.f64 (/.f64 y x) #s(literal 1/4 binary64)) #s(literal 1/4 binary64)) #s(literal 1/4 binary64))))) (/.f64 (fma.f64 (/.f64 y x) #s(literal -1/2 binary64) #s(literal -1/2 binary64)) y))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (-.f64 #s(literal 0 binary64) y) (fma.f64 (/.f64 y x) (-.f64 (*.f64 (/.f64 y x) #s(literal 1/4 binary64)) #s(literal 1/4 binary64)) #s(literal 1/4 binary64)))) (/.f64 (fma.f64 (/.f64 y x) #s(literal -1/2 binary64) #s(literal -1/2 binary64)) y))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (*.f64 y (fma.f64 (/.f64 y x) (-.f64 (*.f64 (/.f64 y x) #s(literal 1/4 binary64)) #s(literal 1/4 binary64)) #s(literal 1/4 binary64))))) (/.f64 (fma.f64 (*.f64 y (*.f64 y y)) (/.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x))) #s(literal 1/8 binary64)) (neg.f64 (*.f64 y (fma.f64 (/.f64 y x) (-.f64 (*.f64 (/.f64 y x) #s(literal 1/4 binary64)) #s(literal 1/4 binary64)) #s(literal 1/4 binary64))))))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 y (fma.f64 (/.f64 y x) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (/.f64 (fma.f64 (/.f64 y x) #s(literal -1/2 binary64) #s(literal -1/2 binary64)) y))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (-.f64 #s(literal 0 binary64) y) (fma.f64 #s(literal 1/2 binary64) (/.f64 y x) #s(literal -1/2 binary64)))) (/.f64 (fma.f64 (/.f64 y x) #s(literal -1/2 binary64) #s(literal -1/2 binary64)) y))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (*.f64 y (fma.f64 #s(literal 1/2 binary64) (/.f64 y x) #s(literal -1/2 binary64))))) (/.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 y y) (*.f64 x x)) #s(literal -1/4 binary64)) (neg.f64 (*.f64 y (fma.f64 #s(literal 1/2 binary64) (/.f64 y x) #s(literal -1/2 binary64))))))
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 1/64 binary64))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 y (fma.f64 (/.f64 y x) (-.f64 (*.f64 (/.f64 y x) #s(literal 1/4 binary64)) #s(literal 1/4 binary64)) #s(literal 1/4 binary64))) (fma.f64 (*.f64 y (*.f64 y y)) (/.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x))) #s(literal -1/8 binary64)))) (/.f64 #s(literal 1/64 binary64) (*.f64 (*.f64 y (fma.f64 (/.f64 y x) (-.f64 (*.f64 (/.f64 y x) #s(literal 1/4 binary64)) #s(literal 1/4 binary64)) #s(literal 1/4 binary64))) (fma.f64 (*.f64 y (*.f64 y y)) (/.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x))) #s(literal -1/8 binary64)))))
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 1/64 binary64))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 y (fma.f64 #s(literal 1/2 binary64) (/.f64 y x) #s(literal -1/2 binary64))) (fma.f64 #s(literal 1/16 binary64) (*.f64 (/.f64 (*.f64 y y) (*.f64 x x)) (/.f64 (*.f64 y y) (*.f64 x x))) (fma.f64 #s(literal 1/16 binary64) (/.f64 (*.f64 y y) (*.f64 x x)) #s(literal 1/16 binary64))))) (/.f64 #s(literal 1/64 binary64) (*.f64 (*.f64 y (fma.f64 #s(literal 1/2 binary64) (/.f64 y x) #s(literal -1/2 binary64))) (fma.f64 #s(literal 1/16 binary64) (*.f64 (/.f64 (*.f64 y y) (*.f64 x x)) (/.f64 (*.f64 y y) (*.f64 x x))) (fma.f64 #s(literal 1/16 binary64) (/.f64 (*.f64 y y) (*.f64 x x)) #s(literal 1/16 binary64))))))
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(*.f64 (/.f64 #s(literal 1 binary64) x) y)
(*.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) #s(literal -1 binary64)))
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(*.f64 (pow.f64 (/.f64 y x) #s(literal 1/2 binary64)) (pow.f64 (/.f64 y x) #s(literal 1/2 binary64)))
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simplify327.0ms (4.6%)

Memory
34.1MiB live, 705.0MiB allocated
Algorithm
1×egg-herbie
Rules
8 738×accelerator-lowering-fma.f32
8 738×accelerator-lowering-fma.f64
7 378×*-lowering-*.f32
7 378×*-lowering-*.f64
1 890×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
024396
150396
286396
3128360
4167360
5370360
6935360
72273360
83120360
94022360
104930360
115787360
127199360
08313342
Stop Event
1×iter limit
1×node limit
Counts
72 → 72
Calls
Call 1
Inputs
(/ 1/2 y)
(/ (+ 1/2 (* 1/2 (/ y x))) y)
(/ (+ 1/2 (* 1/2 (/ y x))) y)
(/ (+ 1/2 (* 1/2 (/ y x))) y)
(/ 1/2 x)
(+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y)))
(+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y)))
(+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y)))
(/ 1/2 x)
(+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y)))
(+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y)))
(+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y)))
(/ 1/2 x)
(/ (+ 1/2 (* 1/2 (/ x y))) x)
(/ (+ 1/2 (* 1/2 (/ x y))) x)
(/ (+ 1/2 (* 1/2 (/ x y))) x)
(/ 1/2 y)
(+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y)))
(+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y)))
(+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y)))
(/ 1/2 y)
(+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y)))
(+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y)))
(+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y)))
1/2
(+ 1/2 (* 1/2 (/ y x)))
(+ 1/2 (* 1/2 (/ y x)))
(+ 1/2 (* 1/2 (/ y x)))
(* 1/2 (/ y x))
(* y (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y))))
(* y (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y))))
(* y (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y))))
(* 1/2 (/ y x))
(* y (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y))))
(* y (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y))))
(* y (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y))))
(* 1/2 (/ y x))
(/ (+ (* 1/2 x) (* 1/2 y)) x)
(/ (+ (* 1/2 x) (* 1/2 y)) x)
(/ (+ (* 1/2 x) (* 1/2 y)) x)
1/2
(+ 1/2 (* 1/2 (/ y x)))
(+ 1/2 (* 1/2 (/ y x)))
(+ 1/2 (* 1/2 (/ y x)))
1/2
(+ 1/2 (* 1/2 (/ y x)))
(+ 1/2 (* 1/2 (/ y x)))
(+ 1/2 (* 1/2 (/ y x)))
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
Outputs
(/ 1/2 y)
(/.f64 #s(literal 1/2 binary64) y)
(/ (+ 1/2 (* 1/2 (/ y x))) y)
(+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1/2 binary64) y))
(/ (+ 1/2 (* 1/2 (/ y x))) y)
(+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1/2 binary64) y))
(/ (+ 1/2 (* 1/2 (/ y x))) y)
(+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1/2 binary64) y))
(/ 1/2 x)
(/.f64 #s(literal 1/2 binary64) x)
(+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y)))
(+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1/2 binary64) y))
(+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y)))
(+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1/2 binary64) y))
(+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y)))
(+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1/2 binary64) y))
(/ 1/2 x)
(/.f64 #s(literal 1/2 binary64) x)
(+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y)))
(+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1/2 binary64) y))
(+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y)))
(+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1/2 binary64) y))
(+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y)))
(+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1/2 binary64) y))
(/ 1/2 x)
(/.f64 #s(literal 1/2 binary64) x)
(/ (+ 1/2 (* 1/2 (/ x y))) x)
(+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1/2 binary64) y))
(/ (+ 1/2 (* 1/2 (/ x y))) x)
(+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1/2 binary64) y))
(/ (+ 1/2 (* 1/2 (/ x y))) x)
(+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1/2 binary64) y))
(/ 1/2 y)
(/.f64 #s(literal 1/2 binary64) y)
(+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y)))
(+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1/2 binary64) y))
(+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y)))
(+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1/2 binary64) y))
(+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y)))
(+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1/2 binary64) y))
(/ 1/2 y)
(/.f64 #s(literal 1/2 binary64) y)
(+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y)))
(+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1/2 binary64) y))
(+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y)))
(+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1/2 binary64) y))
(+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y)))
(+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1/2 binary64) y))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* 1/2 (/ y x)))
(fma.f64 #s(literal 1/2 binary64) (/.f64 y x) #s(literal 1/2 binary64))
(+ 1/2 (* 1/2 (/ y x)))
(fma.f64 #s(literal 1/2 binary64) (/.f64 y x) #s(literal 1/2 binary64))
(+ 1/2 (* 1/2 (/ y x)))
(fma.f64 #s(literal 1/2 binary64) (/.f64 y x) #s(literal 1/2 binary64))
(* 1/2 (/ y x))
(/.f64 (*.f64 #s(literal 1/2 binary64) y) x)
(* y (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y))))
(fma.f64 #s(literal 1/2 binary64) (/.f64 y x) #s(literal 1/2 binary64))
(* y (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y))))
(fma.f64 #s(literal 1/2 binary64) (/.f64 y x) #s(literal 1/2 binary64))
(* y (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y))))
(fma.f64 #s(literal 1/2 binary64) (/.f64 y x) #s(literal 1/2 binary64))
(* 1/2 (/ y x))
(/.f64 (*.f64 #s(literal 1/2 binary64) y) x)
(* y (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y))))
(fma.f64 #s(literal 1/2 binary64) (/.f64 y x) #s(literal 1/2 binary64))
(* y (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y))))
(fma.f64 #s(literal 1/2 binary64) (/.f64 y x) #s(literal 1/2 binary64))
(* y (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y))))
(fma.f64 #s(literal 1/2 binary64) (/.f64 y x) #s(literal 1/2 binary64))
(* 1/2 (/ y x))
(/.f64 (*.f64 #s(literal 1/2 binary64) y) x)
(/ (+ (* 1/2 x) (* 1/2 y)) x)
(fma.f64 #s(literal 1/2 binary64) (/.f64 y x) #s(literal 1/2 binary64))
(/ (+ (* 1/2 x) (* 1/2 y)) x)
(fma.f64 #s(literal 1/2 binary64) (/.f64 y x) #s(literal 1/2 binary64))
(/ (+ (* 1/2 x) (* 1/2 y)) x)
(fma.f64 #s(literal 1/2 binary64) (/.f64 y x) #s(literal 1/2 binary64))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* 1/2 (/ y x)))
(fma.f64 #s(literal 1/2 binary64) (/.f64 y x) #s(literal 1/2 binary64))
(+ 1/2 (* 1/2 (/ y x)))
(fma.f64 #s(literal 1/2 binary64) (/.f64 y x) #s(literal 1/2 binary64))
(+ 1/2 (* 1/2 (/ y x)))
(fma.f64 #s(literal 1/2 binary64) (/.f64 y x) #s(literal 1/2 binary64))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* 1/2 (/ y x)))
(fma.f64 #s(literal 1/2 binary64) (/.f64 y x) #s(literal 1/2 binary64))
(+ 1/2 (* 1/2 (/ y x)))
(fma.f64 #s(literal 1/2 binary64) (/.f64 y x) #s(literal 1/2 binary64))
(+ 1/2 (* 1/2 (/ y x)))
(fma.f64 #s(literal 1/2 binary64) (/.f64 y x) #s(literal 1/2 binary64))
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)

eval53.0ms (0.7%)

Memory
1.5MiB live, 157.1MiB allocated
Compiler

Compiled 12 672 to 1 105 computations (91.3% saved)

prune60.0ms (0.8%)

Memory
0.5MiB live, 158.7MiB allocated
Pruning

6 alts after pruning (0 fresh and 6 done)

PrunedKeptTotal
New4590459
Fresh000
Picked011
Done055
Total4596465
Accuracy
100.0%
Counts
465 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓88.2%
(/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 y x) #s(literal 1/2 binary64)) y)
✓39.9%
(/.f64 y (*.f64 (*.f64 x #s(literal 2 binary64)) y))
✓52.2%
(/.f64 #s(literal 1/2 binary64) y)
✓49.7%
(/.f64 #s(literal 1/2 binary64) x)
✓100.0%
(+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1/2 binary64) y))
✓78.0%
(*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x y)) (+.f64 x y))
Compiler

Compiled 97 to 51 computations (47.4% saved)

regimes12.0ms (0.2%)

Memory
-11.7MiB live, 26.6MiB allocated
Counts
7 → 1
Calls
Call 1
Inputs
(/.f64 #s(literal 1/2 binary64) x)
(/.f64 #s(literal 1/2 binary64) y)
(/.f64 y (*.f64 (*.f64 x #s(literal 2 binary64)) y))
(*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x y)) (+.f64 x y))
(/.f64 (+.f64 x y) (*.f64 (*.f64 x #s(literal 2 binary64)) y))
(+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1/2 binary64) y))
(/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 y x) #s(literal 1/2 binary64)) y)
Outputs
(+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1/2 binary64) y))
Calls

3 calls:

6.0ms
y
3.0ms
x
3.0ms
(/.f64 (+.f64 x y) (*.f64 (*.f64 x #s(literal 2 binary64)) y))
Results
AccuracySegmentsBranch
100.0%1x
100.0%1y
100.0%1(/.f64 (+.f64 x y) (*.f64 (*.f64 x #s(literal 2 binary64)) y))
Compiler

Compiled 17 to 11 computations (35.3% saved)

regimes11.0ms (0.2%)

Memory
-15.5MiB live, 22.9MiB allocated
Counts
5 → 3
Calls
Call 1
Inputs
(/.f64 #s(literal 1/2 binary64) x)
(/.f64 #s(literal 1/2 binary64) y)
(/.f64 y (*.f64 (*.f64 x #s(literal 2 binary64)) y))
(*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x y)) (+.f64 x y))
(/.f64 (+.f64 x y) (*.f64 (*.f64 x #s(literal 2 binary64)) y))
Outputs
(/.f64 #s(literal 1/2 binary64) y)
(/.f64 (+.f64 x y) (*.f64 (*.f64 x #s(literal 2 binary64)) y))
(/.f64 #s(literal 1/2 binary64) x)
Calls

3 calls:

2.0ms
y
2.0ms
x
2.0ms
(/.f64 (+.f64 x y) (*.f64 (*.f64 x #s(literal 2 binary64)) y))
Results
AccuracySegmentsBranch
90.4%3x
94.0%3y
89.7%5(/.f64 (+.f64 x y) (*.f64 (*.f64 x #s(literal 2 binary64)) y))
Compiler

Compiled 17 to 11 computations (35.3% saved)

regimes3.0ms (0%)

Memory
6.9MiB live, 6.9MiB allocated
Counts
4 → 3
Calls
Call 1
Inputs
(/.f64 #s(literal 1/2 binary64) x)
(/.f64 #s(literal 1/2 binary64) y)
(/.f64 y (*.f64 (*.f64 x #s(literal 2 binary64)) y))
(*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x y)) (+.f64 x y))
Outputs
(/.f64 #s(literal 1/2 binary64) y)
(*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x y)) (+.f64 x y))
(/.f64 #s(literal 1/2 binary64) x)
Calls

1 calls:

2.0ms
y
Results
AccuracySegmentsBranch
94.0%3y
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes4.0ms (0.1%)

Memory
6.9MiB live, 6.9MiB allocated
Counts
3 → 2
Calls
Call 1
Inputs
(/.f64 #s(literal 1/2 binary64) x)
(/.f64 #s(literal 1/2 binary64) y)
(/.f64 y (*.f64 (*.f64 x #s(literal 2 binary64)) y))
Outputs
(/.f64 #s(literal 1/2 binary64) y)
(/.f64 #s(literal 1/2 binary64) x)
Calls

2 calls:

2.0ms
y
2.0ms
x
Results
AccuracySegmentsBranch
80.0%2x
86.9%2y
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes4.0ms (0.1%)

Memory
8.2MiB live, 8.2MiB allocated
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

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

3 calls:

1.0ms
x
1.0ms
(/.f64 (+.f64 x y) (*.f64 (*.f64 x #s(literal 2 binary64)) y))
1.0ms
y
Results
AccuracySegmentsBranch
49.7%1x
49.7%1(/.f64 (+.f64 x y) (*.f64 (*.f64 x #s(literal 2 binary64)) y))
49.7%1y
Compiler

Compiled 17 to 11 computations (35.3% saved)

bsearch103.0ms (1.4%)

Memory
-20.9MiB live, 21.5MiB allocated
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
98.0ms
2.965175220884845e+85
4.1862250324434616e+86
4.0ms
4.938596141077606e-195
6.1427772214530485e-195
Samples
97.0ms144×0valid
Compiler

Compiled 176 to 129 computations (26.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 94.0ms
ival-add: 91.0ms (96.9% of total)
ival-mult: 2.0ms (2.1% of total)
ival-div: 1.0ms (1.1% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch13.0ms (0.2%)

Memory
16.8MiB live, 16.8MiB allocated
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
7.0ms
2.965175220884845e+85
4.1862250324434616e+86
4.0ms
4.938596141077606e-195
6.1427772214530485e-195
Samples
7.0ms144×0valid
Compiler

Compiled 176 to 129 computations (26.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 4.0ms
ival-mult: 2.0ms (53.5% of total)
ival-div: 1.0ms (26.8% of total)
ival-add: 1.0ms (26.8% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch14.0ms (0.2%)

Memory
17.3MiB live, 17.3MiB allocated
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
12.0ms
7.818022113894431
1616427800320866600.0
Samples
7.0ms160×0valid
Compiler

Compiled 134 to 112 computations (16.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 4.0ms
ival-mult: 2.0ms (49.2% of total)
ival-div: 1.0ms (24.6% of total)
ival-add: 1.0ms (24.6% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

simplify28.0ms (0.4%)

Memory
-24.2MiB live, 13.6MiB allocated
Algorithm
1×egg-herbie
Rules
8×*-commutative_binary64
4×+-commutative_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02566
13166
Stop Event
1×saturated
Calls
Call 1
Inputs
(+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1/2 binary64) y))
(if (<=.f64 y #s(literal 30821108798135/5136851466355833503165029182500125649951503713694505722166289944403058744430742990345377476833582471901350555523611540735370539306820120960085756611964727392534398116336371677921546638558908903585247316148224 binary64)) (/.f64 #s(literal 1/2 binary64) y) (if (<=.f64 y #s(literal 409999999999999992195092350995570367828205900470457669402012478398843399017922320924672 binary64)) (/.f64 (+.f64 x y) (*.f64 (*.f64 x #s(literal 2 binary64)) y)) (/.f64 #s(literal 1/2 binary64) x)))
(if (<=.f64 y #s(literal 30821108798135/5136851466355833503165029182500125649951503713694505722166289944403058744430742990345377476833582471901350555523611540735370539306820120960085756611964727392534398116336371677921546638558908903585247316148224 binary64)) (/.f64 #s(literal 1/2 binary64) y) (if (<=.f64 y #s(literal 409999999999999992195092350995570367828205900470457669402012478398843399017922320924672 binary64)) (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x y)) (+.f64 x y)) (/.f64 #s(literal 1/2 binary64) x)))
(if (<=.f64 y #s(literal 33000000 binary64)) (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) x))
(/.f64 #s(literal 1/2 binary64) x)
Outputs
(+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1/2 binary64) y))
(if (<=.f64 y #s(literal 30821108798135/5136851466355833503165029182500125649951503713694505722166289944403058744430742990345377476833582471901350555523611540735370539306820120960085756611964727392534398116336371677921546638558908903585247316148224 binary64)) (/.f64 #s(literal 1/2 binary64) y) (if (<=.f64 y #s(literal 409999999999999992195092350995570367828205900470457669402012478398843399017922320924672 binary64)) (/.f64 (+.f64 x y) (*.f64 (*.f64 x #s(literal 2 binary64)) y)) (/.f64 #s(literal 1/2 binary64) x)))
(if (<=.f64 y #s(literal 30821108798135/5136851466355833503165029182500125649951503713694505722166289944403058744430742990345377476833582471901350555523611540735370539306820120960085756611964727392534398116336371677921546638558908903585247316148224 binary64)) (/.f64 #s(literal 1/2 binary64) y) (if (<=.f64 y #s(literal 409999999999999992195092350995570367828205900470457669402012478398843399017922320924672 binary64)) (/.f64 (+.f64 x y) (*.f64 y (*.f64 x #s(literal 2 binary64)))) (/.f64 #s(literal 1/2 binary64) x)))
(if (<=.f64 y #s(literal 30821108798135/5136851466355833503165029182500125649951503713694505722166289944403058744430742990345377476833582471901350555523611540735370539306820120960085756611964727392534398116336371677921546638558908903585247316148224 binary64)) (/.f64 #s(literal 1/2 binary64) y) (if (<=.f64 y #s(literal 409999999999999992195092350995570367828205900470457669402012478398843399017922320924672 binary64)) (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x y)) (+.f64 x y)) (/.f64 #s(literal 1/2 binary64) x)))
(if (<=.f64 y #s(literal 30821108798135/5136851466355833503165029182500125649951503713694505722166289944403058744430742990345377476833582471901350555523611540735370539306820120960085756611964727392534398116336371677921546638558908903585247316148224 binary64)) (/.f64 #s(literal 1/2 binary64) y) (if (<=.f64 y #s(literal 409999999999999992195092350995570367828205900470457669402012478398843399017922320924672 binary64)) (*.f64 (+.f64 x y) (/.f64 #s(literal 1/2 binary64) (*.f64 x y))) (/.f64 #s(literal 1/2 binary64) x)))
(if (<=.f64 y #s(literal 33000000 binary64)) (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) x))
(/.f64 #s(literal 1/2 binary64) x)

soundness552.0ms (7.7%)

Memory
0.4MiB live, 282.0MiB allocated
Rules
5 768×/-lowering-/.f32
5 768×/-lowering-/.f64
4 386×*-lowering-*.f32
4 386×*-lowering-*.f64
4 196×*-lowering-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0720
13520
224720
3291120
0883120
037372
193372
2175372
3475372
41337372
52530372
64212372
75357372
86256372
96909372
107367372
117968372
08227366
Stop Event
1×done
1×iter limit
1×node limit
1×iter limit
1×node limit
Compiler

Compiled 123 to 66 computations (46.3% saved)

preprocess42.0ms (0.6%)

Memory
18.7MiB live, 95.0MiB allocated
Remove

(sort x y)

Compiler

Compiled 194 to 88 computations (54.6% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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