Diagrams.Solve.Polynomial:cubForm from diagrams-solve-0.1, G

Time bar (total: 4.6s)

analyze0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
100%99.9%0%0.1%0%0%0%1
Compiler

Compiled 9 to 9 computations (0% saved)

sample580.0ms (12.7%)

Memory
27.5MiB live, 1 116.2MiB allocated
Samples
397.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 205.0ms
ival-div: 94.0ms (46% of total)
ival-mult: 49.0ms (24% of total)
ival-add: 45.0ms (22% of total)
exact: 7.0ms (3.4% of total)
ival-true: 6.0ms (2.9% of total)
ival-assert: 3.0ms (1.5% of total)
Bogosity

preprocess30.0ms (0.7%)

Memory
-16.0MiB live, 43.4MiB allocated
Algorithm
egg-herbie
Rules
54×distribute-lft-neg-in
52×sub-neg
46×distribute-lft-in
42×distribute-rgt-in
42×associate--r+
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01832
15930
216630
327730
437830
543330
644430
085
1185
2205
0205
Stop Event
iter limit
saturated
saturated
Calls
Call 1
Inputs
(* (/ 1 2) (+ x y))
Outputs
(* (/ 1 2) (+ x y))
(*.f64 #s(literal 1/2 binary64) (+.f64 x y))
Call 2
Inputs
(* (/ 1 2) (+ x y))
(* (/ 1 2) (+ (neg x) y))
(* (/ 1 2) (+ x (neg y)))
(neg (* (/ 1 2) (+ (neg x) y)))
(neg (* (/ 1 2) (+ x (neg y))))
(* (/ 1 2) (+ y x))
Outputs
(* (/ 1 2) (+ x y))
(* 1/2 (+ x y))
(* (/ 1 2) (+ (neg x) y))
(* 1/2 (- y x))
(* (/ 1 2) (+ x (neg y)))
(* 1/2 (- x y))
(neg (* (/ 1 2) (+ (neg x) y)))
(* 1/2 (- x y))
(neg (* (/ 1 2) (+ x (neg y))))
(* 1/2 (- y x))
(* (/ 1 2) (+ y x))
(* 1/2 (+ x y))
Symmetry

(sort x y)

explain57.0ms (1.3%)

Memory
14.6MiB live, 133.0MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x y))
00-0-(/.f64 #s(literal 1 binary64) #s(literal 2 binary64))
00-0-#s(literal 2 binary64)
00-0-y
00-0-#s(literal 1 binary64)
00-0-(+.f64 x y)
00-0-x
Confusion
Predicted +Predicted -
+00
-0256
Precision
0/0
Recall
0/0
Confusion?
Predicted +Predicted MaybePredicted -
+000
-00256
Precision?
0/0
Recall?
0/0
Freqs
test
numberfreq
0256
Total Confusion?
Predicted +Predicted MaybePredicted -
+000
-001
Precision?
0/0
Recall?
0/0
Samples
24.0ms512×0valid
Compiler

Compiled 56 to 32 computations (42.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 10.0ms
ival-div: 3.0ms (28.6% of total)
ival-add: 3.0ms (28.6% of total)
ival-mult: 3.0ms (28.6% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

eval0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Compiler

Compiled 2 to 2 computations (0% saved)

prune1.0ms (0%)

Memory
1.5MiB live, 1.5MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x y))
Compiler

Compiled 9 to 7 computations (22.2% saved)

simplify4.0ms (0.1%)

Memory
7.1MiB live, 7.1MiB allocated
Algorithm
egg-herbie
Localize:

Found 3 expressions of interest:

NewMetricScoreProgram
cost-diff0
(+.f64 x y)
cost-diff0
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x y))
cost-diff704
(/.f64 #s(literal 1 binary64) #s(literal 2 binary64))
Rules
12×*-lowering-*.f32
12×*-lowering-*.f64
+-lowering-+.f64
+-lowering-+.f32
accelerator-lowering-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0813
11813
22013
02013
Stop Event
iter limit
saturated
Calls
Call 1
Inputs
(* (/ 1 2) (+ x y))
(/ 1 2)
1
2
(+ x y)
x
y
Outputs
(* (/ 1 2) (+ x y))
(*.f64 #s(literal 1/2 binary64) (+.f64 x y))
(/ 1 2)
#s(literal 1/2 binary64)
1
#s(literal 1 binary64)
2
#s(literal 2 binary64)
(+ x y)
(+.f64 x y)
x
y

localize23.0ms (0.5%)

Memory
-38.6MiB live, 41.5MiB allocated
Localize:

Found 3 expressions of interest:

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

Compiled 19 to 9 computations (52.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 7.0ms
ival-div: 4.0ms (54% of total)
ival-mult: 2.0ms (27% of total)
ival-add: 1.0ms (13.5% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series3.0ms (0.1%)

Memory
5.6MiB live, 5.6MiB allocated
Counts
3 → 48
Calls
Call 1
Inputs
#<alt (/ 1 2)>
#<alt (* (/ 1 2) (+ x y))>
#<alt (+ x y)>
Outputs
#<alt (* 1/2 y)>
#<alt (+ (* 1/2 x) (* 1/2 y))>
#<alt (+ (* 1/2 x) (* 1/2 y))>
#<alt (+ (* 1/2 x) (* 1/2 y))>
#<alt (* 1/2 x)>
#<alt (* x (+ 1/2 (* 1/2 (/ y x))))>
#<alt (* x (+ 1/2 (* 1/2 (/ y x))))>
#<alt (* x (+ 1/2 (* 1/2 (/ y x))))>
#<alt (* 1/2 x)>
#<alt (* -1 (* x (- (* -1/2 (/ y x)) 1/2)))>
#<alt (* -1 (* x (- (* -1/2 (/ y x)) 1/2)))>
#<alt (* -1 (* x (- (* -1/2 (/ y x)) 1/2)))>
#<alt (* 1/2 x)>
#<alt (+ (* 1/2 x) (* 1/2 y))>
#<alt (+ (* 1/2 x) (* 1/2 y))>
#<alt (+ (* 1/2 x) (* 1/2 y))>
#<alt (* 1/2 y)>
#<alt (* y (+ 1/2 (* 1/2 (/ x y))))>
#<alt (* y (+ 1/2 (* 1/2 (/ x y))))>
#<alt (* y (+ 1/2 (* 1/2 (/ x y))))>
#<alt (* 1/2 y)>
#<alt (* -1 (* y (- (* -1/2 (/ x y)) 1/2)))>
#<alt (* -1 (* y (- (* -1/2 (/ x y)) 1/2)))>
#<alt (* -1 (* y (- (* -1/2 (/ x y)) 1/2)))>
#<alt y>
#<alt (+ x y)>
#<alt (+ x y)>
#<alt (+ x y)>
#<alt x>
#<alt (* x (+ 1 (/ y x)))>
#<alt (* x (+ 1 (/ y x)))>
#<alt (* x (+ 1 (/ y x)))>
#<alt x>
#<alt (* -1 (* x (- (* -1 (/ y x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ y x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ y x)) 1)))>
#<alt x>
#<alt (+ x y)>
#<alt (+ x y)>
#<alt (+ x y)>
#<alt y>
#<alt (* y (+ 1 (/ x y)))>
#<alt (* y (+ 1 (/ x y)))>
#<alt (* y (+ 1 (/ x y)))>
#<alt y>
#<alt (* -1 (* y (- (* -1 (/ x y)) 1)))>
#<alt (* -1 (* y (- (* -1 (/ x y)) 1)))>
#<alt (* -1 (* y (- (* -1 (/ x y)) 1)))>
Calls

12 calls:

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

rewrite489.0ms (10.7%)

Memory
22.5MiB live, 759.4MiB allocated
Algorithm
batch-egg-rewrite
Rules
8 694×accelerator-lowering-fma.f32
8 694×accelerator-lowering-fma.f64
4 456×/-lowering-/.f32
4 456×/-lowering-/.f64
3 962×*-lowering-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
089
1319
21799
315249
084229
Stop Event
iter limit
node limit
Counts
3 → 254
Calls
Call 1
Inputs
(/ 1 2)
(* (/ 1 2) (+ x y))
(+ x y)
Outputs
#s(literal 1/2 binary64)
(+.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 (*.f64 x x) #s(literal 1/4 binary64)) (*.f64 #s(literal 1/2 binary64) (-.f64 x y))) (neg.f64 (/.f64 (*.f64 (*.f64 y y) #s(literal 1/4 binary64)) (*.f64 #s(literal 1/2 binary64) (-.f64 x y)))))
(-.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) (*.f64 #s(literal 1/2 binary64) (-.f64 x y))) (/.f64 (*.f64 (*.f64 y y) #s(literal 1/4 binary64)) (*.f64 #s(literal 1/2 binary64) (-.f64 x y))))
(-.f64 (/.f64 (*.f64 (*.f64 y y) #s(literal 1/4 binary64)) (fma.f64 #s(literal 1/2 binary64) y (*.f64 #s(literal -1/2 binary64) x))) (/.f64 (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) (fma.f64 #s(literal 1/2 binary64) y (*.f64 #s(literal -1/2 binary64) x))))
(fma.f64 #s(literal 1/2 binary64) x (*.f64 #s(literal 1/2 binary64) y))
(fma.f64 #s(literal 1/2 binary64) y (*.f64 #s(literal 1/2 binary64) x))
(fma.f64 x #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) y))
(fma.f64 y #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x))
(fma.f64 (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (-.f64 x y))) (neg.f64 (/.f64 (*.f64 (*.f64 y y) #s(literal 1/4 binary64)) (*.f64 #s(literal 1/2 binary64) (-.f64 x y)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (+.f64 x y))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (+.f64 x y))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x y)) #s(literal 1/2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 y y) #s(literal 1/4 binary64) (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 #s(literal 1/2 binary64) y))))) (fma.f64 (*.f64 y (*.f64 y y)) #s(literal 1/8 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/8 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) y (*.f64 #s(literal -1/2 binary64) x)) (fma.f64 (*.f64 y y) #s(literal 1/4 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 x x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x (-.f64 x y) (*.f64 y y))) (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (-.f64 #s(literal 0 binary64) x) y) (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 0 binary64) (*.f64 (+.f64 x y) (-.f64 x y))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 y x) (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 x y) (-.f64 y x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x (-.f64 x y) (*.f64 y y))) (*.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y)))) #s(literal 1/2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (-.f64 #s(literal 0 binary64) x) y) (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 (+.f64 x y) (-.f64 x y))) #s(literal 1/2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 y x) (*.f64 (*.f64 (+.f64 x y) (-.f64 y x)) #s(literal 1/2 binary64))))
(/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x y)))
(/.f64 (fma.f64 (*.f64 y (*.f64 y y)) #s(literal 1/8 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/8 binary64))) (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) y) (fma.f64 #s(literal 1/2 binary64) y (*.f64 #s(literal -1/2 binary64) x)))))
(/.f64 (fma.f64 (*.f64 y (*.f64 y y)) #s(literal 1/8 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/8 binary64))) (fma.f64 (*.f64 y y) #s(literal 1/4 binary64) (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 #s(literal 1/2 binary64) y))))))
(/.f64 (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 y y))) (*.f64 #s(literal 1/2 binary64) (-.f64 x y)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y)))) (fma.f64 x (-.f64 x y) (*.f64 y y)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 x y) (-.f64 x y))) (-.f64 x y))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (+.f64 x y)))))
(/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (*.f64 y (*.f64 y y)) #s(literal 1/8 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/8 binary64)))) (-.f64 #s(literal 0 binary64) (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) y) (fma.f64 #s(literal 1/2 binary64) y (*.f64 #s(literal -1/2 binary64) x))))))
(/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (*.f64 y (*.f64 y y)) #s(literal 1/8 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/8 binary64)))) (neg.f64 (fma.f64 (*.f64 y y) #s(literal 1/4 binary64) (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 #s(literal 1/2 binary64) y)))))))
(/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 y y)))) (-.f64 #s(literal 0 binary64) (*.f64 #s(literal 1/2 binary64) (-.f64 x y))))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 #s(literal 1/2 binary64) (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))))) (-.f64 #s(literal 0 binary64) (fma.f64 x (-.f64 x y) (*.f64 y y))))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 x y) (-.f64 x y)))) (+.f64 (-.f64 #s(literal 0 binary64) x) y))
(/.f64 (fma.f64 (*.f64 y y) #s(literal 1/4 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 x x))) (fma.f64 #s(literal 1/2 binary64) y (*.f64 #s(literal -1/2 binary64) x)))
(/.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x y))))
(/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))))) (-.f64 #s(literal 0 binary64) (fma.f64 x (-.f64 x y) (*.f64 y y))))
(/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 0 binary64) (*.f64 (+.f64 x y) (-.f64 x y)))) (+.f64 (-.f64 #s(literal 0 binary64) x) y))
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 x y) (-.f64 y x))) (-.f64 y x))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y)))) #s(literal 1/2 binary64)) (-.f64 #s(literal 0 binary64) (fma.f64 x (-.f64 x y) (*.f64 y y))))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 (+.f64 x y) (-.f64 x y))) #s(literal 1/2 binary64)) (+.f64 (-.f64 #s(literal 0 binary64) x) y))
(/.f64 (*.f64 (*.f64 (+.f64 x y) (-.f64 y x)) #s(literal 1/2 binary64)) (-.f64 y x))
(/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 x y) (-.f64 x y))) (*.f64 (+.f64 x y) (-.f64 x y))) (/.f64 #s(literal 1 binary64) (+.f64 x y)))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) (*.f64 #s(literal 1/2 binary64) (-.f64 x y))) (*.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 x y)) (*.f64 (*.f64 y y) #s(literal 1/4 binary64)))) (*.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 x y)) (*.f64 #s(literal 1/2 binary64) (-.f64 x y))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (*.f64 y (*.f64 y y)) #s(literal 1/8 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/8 binary64))))) (neg.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) y) (fma.f64 #s(literal 1/2 binary64) y (*.f64 #s(literal -1/2 binary64) x)))))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 y y))))) (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 #s(literal 1/2 binary64) (-.f64 x y)))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 #s(literal 1/2 binary64) (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y)))))) (fma.f64 x (-.f64 x y) (*.f64 y y)))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 x y) (-.f64 x y))))) (-.f64 x y))
(/.f64 (neg.f64 (fma.f64 (*.f64 y y) #s(literal 1/4 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 x x)))) (neg.f64 (fma.f64 #s(literal 1/2 binary64) y (*.f64 #s(literal -1/2 binary64) x))))
(/.f64 (neg.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y)))))) (fma.f64 x (-.f64 x y) (*.f64 y y)))
(/.f64 (neg.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 0 binary64) (*.f64 (+.f64 x y) (-.f64 x y))))) (-.f64 x y))
(/.f64 (neg.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 x y) (-.f64 y x)))) (-.f64 #s(literal 0 binary64) (-.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 1/2 binary64))) (fma.f64 x (-.f64 x y) (*.f64 y y)))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 (+.f64 x y) (-.f64 x y))) #s(literal 1/2 binary64))) (-.f64 x y))
(/.f64 (neg.f64 (*.f64 (*.f64 (+.f64 x y) (-.f64 y x)) #s(literal 1/2 binary64))) (-.f64 #s(literal 0 binary64) (-.f64 y x)))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) (*.f64 #s(literal 1/2 binary64) (-.f64 x y))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 (*.f64 y y) #s(literal 1/4 binary64)) (*.f64 #s(literal 1/2 binary64) (-.f64 x y))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) (*.f64 #s(literal 1/2 binary64) (-.f64 x y))) (/.f64 (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) (*.f64 #s(literal 1/2 binary64) (-.f64 x y))) (fma.f64 (/.f64 (*.f64 (*.f64 y y) #s(literal 1/4 binary64)) (*.f64 #s(literal 1/2 binary64) (-.f64 x y))) (/.f64 (*.f64 (*.f64 y y) #s(literal 1/4 binary64)) (*.f64 #s(literal 1/2 binary64) (-.f64 x y))) (*.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) (*.f64 #s(literal 1/2 binary64) (-.f64 x y))) (/.f64 (*.f64 (*.f64 y y) #s(literal 1/4 binary64)) (*.f64 #s(literal 1/2 binary64) (-.f64 x y)))))))
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(/.f64 (neg.f64 (/.f64 (*.f64 (*.f64 (+.f64 x y) (-.f64 x y)) (fma.f64 x x (*.f64 y y))) (-.f64 x y))) (-.f64 #s(literal 0 binary64) (fma.f64 x x (*.f64 y y))))
(/.f64 (fma.f64 (/.f64 (*.f64 x x) (-.f64 x y)) (*.f64 (*.f64 x x) (*.f64 (/.f64 x (-.f64 x y)) (/.f64 x (-.f64 x y)))) (pow.f64 (-.f64 #s(literal 0 binary64) (*.f64 y (/.f64 y (-.f64 x y)))) #s(literal 3 binary64))) (fma.f64 (*.f64 x x) (*.f64 (/.f64 x (-.f64 x y)) (/.f64 x (-.f64 x y))) (-.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 y (/.f64 y (-.f64 x y)))) (-.f64 #s(literal 0 binary64) (*.f64 y (/.f64 y (-.f64 x y))))) (*.f64 (/.f64 (*.f64 x x) (-.f64 x y)) (-.f64 #s(literal 0 binary64) (*.f64 y (/.f64 y (-.f64 x y))))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 y y) (-.f64 y x)) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 x x) (-.f64 y x)) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 y y) (-.f64 y x)) (/.f64 (*.f64 y y) (-.f64 y x)) (fma.f64 (/.f64 (*.f64 x x) (-.f64 y x)) (/.f64 (*.f64 x x) (-.f64 y x)) (*.f64 (/.f64 (*.f64 y y) (-.f64 y x)) (/.f64 (*.f64 x x) (-.f64 y x))))))
(/.f64 (-.f64 (*.f64 x (*.f64 x x)) (-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 y y)))) (fma.f64 x (-.f64 x y) (*.f64 y y)))
(/.f64 (-.f64 (*.f64 (*.f64 x x) (*.f64 (/.f64 x (-.f64 x y)) (/.f64 x (-.f64 x y)))) (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 y (/.f64 y (-.f64 x y)))) (-.f64 #s(literal 0 binary64) (*.f64 y (/.f64 y (-.f64 x y)))))) (-.f64 (/.f64 (*.f64 x x) (-.f64 x y)) (-.f64 #s(literal 0 binary64) (*.f64 y (/.f64 y (-.f64 x y))))))
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 y y) (-.f64 y x)) (/.f64 (*.f64 y y) (-.f64 y x))) (*.f64 (/.f64 (*.f64 x x) (-.f64 y x)) (/.f64 (*.f64 x x) (-.f64 y x)))) (+.f64 (/.f64 (*.f64 y y) (-.f64 y x)) (/.f64 (*.f64 x x) (-.f64 y x))))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 x y)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (+.f64 x y))
(*.f64 (+.f64 x y) #s(literal 1 binary64))
(*.f64 (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x y) (*.f64 y y))))
(*.f64 (fma.f64 x (-.f64 x y) (*.f64 y y)) (/.f64 (+.f64 x y) (fma.f64 x (-.f64 x y) (*.f64 y y))))
(*.f64 (*.f64 (+.f64 x y) (-.f64 x y)) (/.f64 #s(literal 1 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) (fma.f64 x (-.f64 x y) (*.f64 y y))))
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 (+.f64 x y) (-.f64 x y))) (/.f64 #s(literal -1 binary64) (-.f64 x y)))
(*.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) (*.f64 (fma.f64 x (-.f64 x y) (*.f64 y y)) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) (*.f64 (*.f64 y (*.f64 y y)) (fma.f64 y (*.f64 y y) (-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x x)))))))))
(*.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) (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) (*.f64 (*.f64 y (*.f64 y y)) (fma.f64 y (*.f64 y y) (-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x x)))))) (fma.f64 x (-.f64 x y) (*.f64 y y)))))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x y) (*.f64 y y))) (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 x y)) (*.f64 (+.f64 x y) (-.f64 x y)))
(*.f64 (*.f64 (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))) (*.f64 (fma.f64 y (+.f64 x y) (*.f64 x x)) (-.f64 x y))) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x (-.f64 x y) (*.f64 y y)) (*.f64 (fma.f64 y (+.f64 x y) (*.f64 x x)) (-.f64 x y)))))
(*.f64 (*.f64 (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))) (*.f64 (fma.f64 y (+.f64 x y) (*.f64 x x)) (-.f64 x y))) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 x y) (fma.f64 x (*.f64 x (*.f64 x x)) (*.f64 (*.f64 y y) (fma.f64 x x (*.f64 y y)))))))
(*.f64 (*.f64 (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))) (*.f64 (fma.f64 y (+.f64 x y) (*.f64 x x)) (-.f64 x y))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 y (+.f64 x y) (*.f64 x x)) (-.f64 x y)) (fma.f64 x (-.f64 x y) (*.f64 y y)))))
(*.f64 (*.f64 (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))) (*.f64 (fma.f64 y (+.f64 x y) (*.f64 x x)) (-.f64 x y))) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x (*.f64 x (*.f64 x x)) (*.f64 (*.f64 y y) (fma.f64 x x (*.f64 y y)))) (-.f64 x y))))
(*.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)) (fma.f64 x x (*.f64 y y))) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 x y) (fma.f64 x x (*.f64 y y)))))
(*.f64 (*.f64 (*.f64 (+.f64 x y) (-.f64 x y)) (fma.f64 x x (*.f64 y y))) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x x (*.f64 y y)) (-.f64 x y))))
(*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 x y)))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x y)))))
(*.f64 (-.f64 (*.f64 (*.f64 x x) (-.f64 x y)) (*.f64 (-.f64 x y) (*.f64 y y))) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 x y) (-.f64 x y))))
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 (+.f64 x y) (-.f64 y x))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (-.f64 y x))))
(*.f64 (fma.f64 (/.f64 (*.f64 x x) (-.f64 x y)) (*.f64 (*.f64 x x) (*.f64 (/.f64 x (-.f64 x y)) (/.f64 x (-.f64 x y)))) (neg.f64 (*.f64 (*.f64 y (/.f64 y (-.f64 x y))) (*.f64 (*.f64 y (/.f64 y (-.f64 x y))) (*.f64 y (/.f64 y (-.f64 x y))))))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (*.f64 (/.f64 x (-.f64 x y)) (/.f64 x (-.f64 x y))) (fma.f64 (*.f64 y y) (*.f64 (/.f64 y (-.f64 x y)) (/.f64 y (-.f64 x y))) (*.f64 (/.f64 (*.f64 x x) (-.f64 x y)) (*.f64 y (/.f64 y (-.f64 x y))))))))
(*.f64 (*.f64 (fma.f64 x (/.f64 x (-.f64 x y)) (*.f64 y (/.f64 y (-.f64 x y)))) (+.f64 x y)) (/.f64 #s(literal 1 binary64) (fma.f64 x (/.f64 x (-.f64 x y)) (*.f64 y (/.f64 y (-.f64 x y))))))
(*.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))))) (fma.f64 x (-.f64 x y) (*.f64 y y))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) (*.f64 (*.f64 y (*.f64 y y)) (fma.f64 y (*.f64 y y) (-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x x))))))))
(*.f64 (/.f64 (*.f64 (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))) (*.f64 (fma.f64 y (+.f64 x y) (*.f64 x x)) (-.f64 x y))) (fma.f64 x (-.f64 x y) (*.f64 y y))) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y (+.f64 x y) (*.f64 x x)) (-.f64 x y))))
(*.f64 (/.f64 (*.f64 (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))) (*.f64 (fma.f64 y (+.f64 x y) (*.f64 x x)) (-.f64 x y))) (-.f64 x y)) (/.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 (/.f64 (*.f64 (*.f64 (+.f64 x y) (-.f64 x y)) (fma.f64 x x (*.f64 y y))) (-.f64 x y)) (/.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 y y))))
(*.f64 (/.f64 (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))) (fma.f64 x (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (-.f64 y x) (*.f64 (-.f64 y x) (-.f64 y x)))))) (fma.f64 (*.f64 y (-.f64 y x)) (fma.f64 y (-.f64 y x) (-.f64 #s(literal 0 binary64) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))))
(*.f64 (/.f64 (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))) (*.f64 (fma.f64 x (-.f64 x y) (*.f64 y y)) (-.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 y (+.f64 x y) (*.f64 x x)) (-.f64 x y))) (fma.f64 y (+.f64 x y) (*.f64 x x)))
(*.f64 (pow.f64 (/.f64 (fma.f64 x (-.f64 x y) (*.f64 y y)) (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 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) (*.f64 (*.f64 y (*.f64 y y)) (fma.f64 y (*.f64 y y) (-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x x))))))))
(*.f64 (pow.f64 (/.f64 (fma.f64 x (-.f64 x y) (*.f64 y y)) (*.f64 (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))) (*.f64 (fma.f64 y (+.f64 x y) (*.f64 x x)) (-.f64 x y)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y (+.f64 x y) (*.f64 x x)) (-.f64 x y))))
(*.f64 (pow.f64 (/.f64 (-.f64 x y) (*.f64 (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))) (*.f64 (fma.f64 y (+.f64 x y) (*.f64 x x)) (-.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 (*.f64 (+.f64 x y) (-.f64 x y)) (fma.f64 x x (*.f64 y y)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 y y))))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 x y)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 x y)) #s(literal -1/2 binary64)))

simplify826.0ms (18.1%)

Memory
-29.9MiB live, 529.7MiB allocated
Algorithm
egg-herbie
Rules
17 664×accelerator-lowering-fma.f32
17 664×accelerator-lowering-fma.f64
2 856×+-lowering-+.f64
2 856×+-lowering-+.f32
2 768×*-lowering-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
038168
1115168
2264168
3783168
41834168
52668168
63340168
73639168
83801168
93837168
106026168
08686168
Stop Event
iter limit
node limit
Counts
48 → 48
Calls
Call 1
Inputs
(* 1/2 y)
(+ (* 1/2 x) (* 1/2 y))
(+ (* 1/2 x) (* 1/2 y))
(+ (* 1/2 x) (* 1/2 y))
(* 1/2 x)
(* x (+ 1/2 (* 1/2 (/ y x))))
(* x (+ 1/2 (* 1/2 (/ y x))))
(* x (+ 1/2 (* 1/2 (/ y x))))
(* 1/2 x)
(* -1 (* x (- (* -1/2 (/ y x)) 1/2)))
(* -1 (* x (- (* -1/2 (/ y x)) 1/2)))
(* -1 (* x (- (* -1/2 (/ y x)) 1/2)))
(* 1/2 x)
(+ (* 1/2 x) (* 1/2 y))
(+ (* 1/2 x) (* 1/2 y))
(+ (* 1/2 x) (* 1/2 y))
(* 1/2 y)
(* y (+ 1/2 (* 1/2 (/ x y))))
(* y (+ 1/2 (* 1/2 (/ x y))))
(* y (+ 1/2 (* 1/2 (/ x y))))
(* 1/2 y)
(* -1 (* y (- (* -1/2 (/ x y)) 1/2)))
(* -1 (* y (- (* -1/2 (/ x y)) 1/2)))
(* -1 (* y (- (* -1/2 (/ x y)) 1/2)))
y
(+ x y)
(+ x y)
(+ x y)
x
(* x (+ 1 (/ y x)))
(* x (+ 1 (/ y x)))
(* x (+ 1 (/ y x)))
x
(* -1 (* x (- (* -1 (/ y x)) 1)))
(* -1 (* x (- (* -1 (/ y x)) 1)))
(* -1 (* x (- (* -1 (/ y x)) 1)))
x
(+ x y)
(+ x y)
(+ x y)
y
(* y (+ 1 (/ x y)))
(* y (+ 1 (/ x y)))
(* y (+ 1 (/ x y)))
y
(* -1 (* y (- (* -1 (/ x y)) 1)))
(* -1 (* y (- (* -1 (/ x y)) 1)))
(* -1 (* y (- (* -1 (/ x y)) 1)))
Outputs
(* 1/2 y)
(fma.f64 #s(literal 1/2 binary64) y #s(literal 0 binary64))
(+ (* 1/2 x) (* 1/2 y))
(fma.f64 #s(literal 1/2 binary64) (+.f64 y x) #s(literal 0 binary64))
(+ (* 1/2 x) (* 1/2 y))
(fma.f64 #s(literal 1/2 binary64) (+.f64 y x) #s(literal 0 binary64))
(+ (* 1/2 x) (* 1/2 y))
(fma.f64 #s(literal 1/2 binary64) (+.f64 y x) #s(literal 0 binary64))
(* 1/2 x)
(fma.f64 #s(literal 1/2 binary64) x #s(literal 0 binary64))
(* x (+ 1/2 (* 1/2 (/ y x))))
(fma.f64 #s(literal 1/2 binary64) (+.f64 y x) #s(literal 0 binary64))
(* x (+ 1/2 (* 1/2 (/ y x))))
(fma.f64 #s(literal 1/2 binary64) (+.f64 y x) #s(literal 0 binary64))
(* x (+ 1/2 (* 1/2 (/ y x))))
(fma.f64 #s(literal 1/2 binary64) (+.f64 y x) #s(literal 0 binary64))
(* 1/2 x)
(fma.f64 #s(literal 1/2 binary64) x #s(literal 0 binary64))
(* -1 (* x (- (* -1/2 (/ y x)) 1/2)))
(fma.f64 #s(literal 1/2 binary64) (+.f64 y x) #s(literal 0 binary64))
(* -1 (* x (- (* -1/2 (/ y x)) 1/2)))
(fma.f64 #s(literal 1/2 binary64) (+.f64 y x) #s(literal 0 binary64))
(* -1 (* x (- (* -1/2 (/ y x)) 1/2)))
(fma.f64 #s(literal 1/2 binary64) (+.f64 y x) #s(literal 0 binary64))
(* 1/2 x)
(fma.f64 #s(literal 1/2 binary64) x #s(literal 0 binary64))
(+ (* 1/2 x) (* 1/2 y))
(fma.f64 #s(literal 1/2 binary64) (+.f64 y x) #s(literal 0 binary64))
(+ (* 1/2 x) (* 1/2 y))
(fma.f64 #s(literal 1/2 binary64) (+.f64 y x) #s(literal 0 binary64))
(+ (* 1/2 x) (* 1/2 y))
(fma.f64 #s(literal 1/2 binary64) (+.f64 y x) #s(literal 0 binary64))
(* 1/2 y)
(fma.f64 #s(literal 1/2 binary64) y #s(literal 0 binary64))
(* y (+ 1/2 (* 1/2 (/ x y))))
(fma.f64 #s(literal 1/2 binary64) (+.f64 y x) #s(literal 0 binary64))
(* y (+ 1/2 (* 1/2 (/ x y))))
(fma.f64 #s(literal 1/2 binary64) (+.f64 y x) #s(literal 0 binary64))
(* y (+ 1/2 (* 1/2 (/ x y))))
(fma.f64 #s(literal 1/2 binary64) (+.f64 y x) #s(literal 0 binary64))
(* 1/2 y)
(fma.f64 #s(literal 1/2 binary64) y #s(literal 0 binary64))
(* -1 (* y (- (* -1/2 (/ x y)) 1/2)))
(fma.f64 #s(literal 1/2 binary64) (+.f64 y x) #s(literal 0 binary64))
(* -1 (* y (- (* -1/2 (/ x y)) 1/2)))
(fma.f64 #s(literal 1/2 binary64) (+.f64 y x) #s(literal 0 binary64))
(* -1 (* y (- (* -1/2 (/ x y)) 1/2)))
(fma.f64 #s(literal 1/2 binary64) (+.f64 y x) #s(literal 0 binary64))
y
(+ x y)
(+.f64 y x)
(+ x y)
(+.f64 y x)
(+ x y)
(+.f64 y x)
x
(* x (+ 1 (/ y x)))
(+.f64 y x)
(* x (+ 1 (/ y x)))
(+.f64 y x)
(* x (+ 1 (/ y x)))
(+.f64 y x)
x
(* -1 (* x (- (* -1 (/ y x)) 1)))
(+.f64 y x)
(* -1 (* x (- (* -1 (/ y x)) 1)))
(+.f64 y x)
(* -1 (* x (- (* -1 (/ y x)) 1)))
(+.f64 y x)
x
(+ x y)
(+.f64 y x)
(+ x y)
(+.f64 y x)
(+ x y)
(+.f64 y x)
y
(* y (+ 1 (/ x y)))
(+.f64 y x)
(* y (+ 1 (/ x y)))
(+.f64 y x)
(* y (+ 1 (/ x y)))
(+.f64 y x)
y
(* -1 (* y (- (* -1 (/ x y)) 1)))
(+.f64 y x)
(* -1 (* y (- (* -1 (/ x y)) 1)))
(+.f64 y x)
(* -1 (* y (- (* -1 (/ x y)) 1)))
(+.f64 y x)

eval78.0ms (1.7%)

Memory
0.7MiB live, 38.0MiB allocated
Compiler

Compiled 8 646 to 796 computations (90.8% saved)

prune89.0ms (2%)

Memory
28.2MiB live, 64.3MiB allocated
Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New2993302
Fresh000
Picked101
Done000
Total3003303
Accuracy
100.0%
Counts
303 → 3
Alt Table
Click to see full alt table
StatusAccuracyProgram
53.2%
(fma.f64 #s(literal 1/2 binary64) y #s(literal 0 binary64))
48.3%
(fma.f64 #s(literal 1/2 binary64) x #s(literal 0 binary64))
100.0%
(*.f64 (+.f64 x y) #s(literal 1/2 binary64))
Compiler

Compiled 19 to 15 computations (21.1% saved)

simplify5.0ms (0.1%)

Memory
1.8MiB live, 1.8MiB allocated
Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff0
(fma.f64 #s(literal 1/2 binary64) y #s(literal 0 binary64))
cost-diff0
(fma.f64 #s(literal 1/2 binary64) x #s(literal 0 binary64))
cost-diff-64
(*.f64 (+.f64 x y) #s(literal 1/2 binary64))
cost-diff0
(+.f64 x y)
Rules
20×+-lowering-+.f64
20×+-lowering-+.f32
20×accelerator-lowering-fma.f32
20×accelerator-lowering-fma.f64
12×*-lowering-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01023
11623
21923
32123
02123
Stop Event
iter limit
saturated
Calls
Call 1
Inputs
(* (+ x y) 1/2)
(+ x y)
x
y
1/2
(+ (* 1/2 x) 0)
1/2
x
0
(+ (* 1/2 y) 0)
1/2
y
0
Outputs
(* (+ x y) 1/2)
(fma.f64 (+.f64 x y) #s(literal 1/2 binary64) #s(literal 0 binary64))
(+ x y)
(+.f64 x y)
x
y
1/2
#s(literal 1/2 binary64)
(+ (* 1/2 x) 0)
(fma.f64 x #s(literal 1/2 binary64) #s(literal 0 binary64))
1/2
#s(literal 1/2 binary64)
x
0
#s(literal 0 binary64)
(+ (* 1/2 y) 0)
(fma.f64 y #s(literal 1/2 binary64) #s(literal 0 binary64))
1/2
#s(literal 1/2 binary64)
y
0
#s(literal 0 binary64)

localize66.0ms (1.4%)

Memory
-9.4MiB live, 39.1MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(fma.f64 #s(literal 1/2 binary64) y #s(literal 0 binary64))
accuracy100.0%
(fma.f64 #s(literal 1/2 binary64) x #s(literal 0 binary64))
accuracy100.0%
(+.f64 x y)
accuracy100.0%
(*.f64 (+.f64 x y) #s(literal 1/2 binary64))
Samples
55.0ms256×0valid
Compiler

Compiled 27 to 12 computations (55.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 46.0ms
ival-mult: 42.0ms (90.3% of total)
ival-add: 3.0ms (6.5% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series2.0ms (0%)

Memory
1.3MiB live, 1.3MiB allocated
Counts
4 → 72
Calls
Call 1
Inputs
#<alt (+ x y)>
#<alt (* (+ x y) 1/2)>
#<alt (+ (* 1/2 x) 0)>
#<alt (+ (* 1/2 y) 0)>
Outputs
#<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 y)>
#<alt (+ (* 1/2 x) (* 1/2 y))>
#<alt (+ (* 1/2 x) (* 1/2 y))>
#<alt (+ (* 1/2 x) (* 1/2 y))>
#<alt (* 1/2 x)>
#<alt (* x (+ 1/2 (* 1/2 (/ y x))))>
#<alt (* x (+ 1/2 (* 1/2 (/ y x))))>
#<alt (* x (+ 1/2 (* 1/2 (/ y x))))>
#<alt (* 1/2 x)>
#<alt (* -1 (* x (- (* -1/2 (/ y x)) 1/2)))>
#<alt (* -1 (* x (- (* -1/2 (/ y x)) 1/2)))>
#<alt (* -1 (* x (- (* -1/2 (/ y x)) 1/2)))>
#<alt (* 1/2 x)>
#<alt (+ (* 1/2 x) (* 1/2 y))>
#<alt (+ (* 1/2 x) (* 1/2 y))>
#<alt (+ (* 1/2 x) (* 1/2 y))>
#<alt (* 1/2 y)>
#<alt (* y (+ 1/2 (* 1/2 (/ x y))))>
#<alt (* y (+ 1/2 (* 1/2 (/ x y))))>
#<alt (* y (+ 1/2 (* 1/2 (/ x y))))>
#<alt (* 1/2 y)>
#<alt (* -1 (* y (- (* -1/2 (/ x y)) 1/2)))>
#<alt (* -1 (* y (- (* -1/2 (/ x y)) 1/2)))>
#<alt (* -1 (* y (- (* -1/2 (/ x y)) 1/2)))>
#<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)>
Calls

18 calls:

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

rewrite501.0ms (11%)

Memory
-17.3MiB live, 379.0MiB allocated
Algorithm
batch-egg-rewrite
Rules
4 570×accelerator-lowering-fma.f32
4 570×accelerator-lowering-fma.f64
3 560×*-lowering-*.f32
3 560×*-lowering-*.f64
2 140×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01014
15114
250214
3541614
0822114
Stop Event
iter limit
node limit
Counts
4 → 774
Calls
Call 1
Inputs
(+ x y)
(* (+ x y) 1/2)
(+ (* 1/2 x) 0)
(+ (* 1/2 y) 0)
Outputs
(+.f64 x y)
(+.f64 y x)
(+.f64 (/.f64 (*.f64 x x) (-.f64 x y)) (neg.f64 (/.f64 (*.f64 y y) (-.f64 x y))))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 x y))) #s(literal -1 binary64)))
(-.f64 (/.f64 (*.f64 x x) (-.f64 x y)) (/.f64 (*.f64 y y) (-.f64 x y)))
(-.f64 (/.f64 (*.f64 y y) (-.f64 y x)) (/.f64 (*.f64 x x) (-.f64 y x)))
(fma.f64 x (/.f64 x (-.f64 x y)) (neg.f64 (/.f64 (*.f64 y y) (-.f64 x y))))
(fma.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (-.f64 x y)) (neg.f64 (/.f64 (*.f64 y y) (-.f64 x y))))
(fma.f64 (/.f64 (*.f64 x x) (*.f64 (+.f64 x y) (-.f64 x y))) (+.f64 x y) (neg.f64 (/.f64 (*.f64 y y) (-.f64 x y))))
(fma.f64 (/.f64 (*.f64 x x) (*.f64 (fma.f64 x x (*.f64 y (+.f64 x y))) (-.f64 x y))) (fma.f64 x x (*.f64 y (+.f64 x y))) (neg.f64 (/.f64 (*.f64 y y) (-.f64 x y))))
(neg.f64 (/.f64 (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))) (-.f64 #s(literal 0 binary64) (fma.f64 x (-.f64 x y) (*.f64 y y)))))
(neg.f64 (/.f64 (*.f64 (+.f64 x y) (-.f64 x y)) (-.f64 #s(literal 0 binary64) (-.f64 x y))))
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y)))) (fma.f64 x (-.f64 x y) (*.f64 y y))))
(neg.f64 (/.f64 (*.f64 (+.f64 x y) (-.f64 #s(literal 0 binary64) (-.f64 x y))) (-.f64 x y)))
(/.f64 (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))) (fma.f64 x (-.f64 x y) (*.f64 y y)))
(/.f64 (*.f64 (+.f64 x y) (-.f64 x y)) (-.f64 x y))
(/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y)))) (-.f64 #s(literal 0 binary64) (fma.f64 x (-.f64 x y) (*.f64 y y))))
(/.f64 (*.f64 (+.f64 x y) (-.f64 #s(literal 0 binary64) (-.f64 x y))) (-.f64 #s(literal 0 binary64) (-.f64 x y)))
(/.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y y))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))) (*.f64 (fma.f64 x (-.f64 x y) (*.f64 y y)) (fma.f64 (*.f64 y (*.f64 y y)) (-.f64 (*.f64 y (*.f64 y y)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 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 x y))) (-.f64 x y))) (*.f64 (fma.f64 x (-.f64 x y) (*.f64 y y)) (*.f64 (fma.f64 x x (*.f64 y (+.f64 x y))) (-.f64 x y))))
(/.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 (-.f64 x y) (fma.f64 (*.f64 y y) (fma.f64 x x (*.f64 y y)) (*.f64 x (*.f64 x (*.f64 x x))))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x y)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x y)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 y x) (*.f64 (+.f64 x y) (-.f64 y x))))
(/.f64 (*.f64 (+.f64 x y) (-.f64 y x)) (-.f64 y x))
(/.f64 (*.f64 (fma.f64 x x (*.f64 y y)) (*.f64 (+.f64 x y) (-.f64 x y))) (*.f64 (-.f64 x y) (fma.f64 x x (*.f64 y y))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 x y))))
(/.f64 (-.f64 (*.f64 (*.f64 x x) (-.f64 x y)) (*.f64 (-.f64 x y) (*.f64 y y))) (*.f64 (-.f64 x y) (-.f64 x y)))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))))) (neg.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x (-.f64 x y) (*.f64 y y)))))
(/.f64 (neg.f64 (*.f64 (+.f64 x y) (-.f64 #s(literal 0 binary64) (-.f64 x y)))) (neg.f64 (-.f64 #s(literal 0 binary64) (-.f64 x y))))
(/.f64 (neg.f64 (*.f64 (+.f64 x y) (-.f64 y x))) (neg.f64 (-.f64 y x)))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 x x) (-.f64 x y)) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 y y) (-.f64 x y)) #s(literal 3 binary64))) (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 (-.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)))) (fma.f64 x (/.f64 x (-.f64 x y)) (/.f64 (*.f64 y y) (-.f64 x y))))
(/.f64 (*.f64 (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))) #s(literal 1 binary64)) (fma.f64 x (-.f64 x y) (*.f64 y y)))
(/.f64 (*.f64 (*.f64 (+.f64 x y) (-.f64 x y)) #s(literal 1 binary64)) (-.f64 x y))
(/.f64 (*.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y y))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x y) (*.f64 y y)))) (fma.f64 (*.f64 y (*.f64 y y)) (-.f64 (*.f64 y (*.f64 y y)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))))
(/.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 (-.f64 x y) (*.f64 y y)))) (*.f64 (fma.f64 x x (*.f64 y (+.f64 x y))) (-.f64 x y)))
(/.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))) (fma.f64 (*.f64 y y) (fma.f64 x x (*.f64 y y)) (*.f64 x (*.f64 x (*.f64 x x)))))
(/.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))) (fma.f64 x x (*.f64 y y)))
(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) (*.f64 (-.f64 x y) (/.f64 #s(literal 1 binary64) (-.f64 x y))))
(*.f64 (+.f64 x y) (/.f64 (-.f64 x y) (-.f64 x y)))
(*.f64 (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x y) (*.f64 y y))))
(*.f64 (fma.f64 x (-.f64 x y) (*.f64 y y)) (*.f64 (+.f64 x y) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x y) (*.f64 y y)))))
(*.f64 (fma.f64 x (-.f64 x y) (*.f64 y y)) (/.f64 (+.f64 x y) (fma.f64 x (-.f64 x y) (*.f64 y y))))
(*.f64 (*.f64 (+.f64 x y) (-.f64 x y)) (/.f64 #s(literal 1 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 (-.f64 x y) (*.f64 y y)))))
(*.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 #s(literal 1 binary64) (+.f64 x y))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x y) (*.f64 y y))) (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 x y)) (*.f64 (+.f64 x y) (-.f64 x y)))
(*.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 y (*.f64 (-.f64 y x) (*.f64 y (-.f64 y x)))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))) (fma.f64 (*.f64 y (-.f64 y x)) (-.f64 (*.f64 y (-.f64 y x)) (*.f64 x x)) (*.f64 x (*.f64 x (*.f64 x x)))))
(*.f64 (/.f64 (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))) (*.f64 (fma.f64 x (-.f64 x y) (*.f64 y y)) (-.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 (fma.f64 (+.f64 x y) #s(literal 1/2 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))
(+.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 0 binary64)) (fma.f64 y #s(literal 1/2 binary64) #s(literal 0 binary64)))
(+.f64 #s(literal 0 binary64) (fma.f64 (+.f64 x y) #s(literal 1/2 binary64) #s(literal 0 binary64)))
(+.f64 (fma.f64 y #s(literal 1/2 binary64) #s(literal 0 binary64)) (fma.f64 x #s(literal 1/2 binary64) #s(literal 0 binary64)))
(-.f64 (fma.f64 (+.f64 x y) #s(literal 1/2 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))
(-.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 0 binary64)) (fma.f64 y #s(literal -1/2 binary64) #s(literal 0 binary64)))
(-.f64 (fma.f64 y #s(literal 1/2 binary64) #s(literal 0 binary64)) (fma.f64 x #s(literal -1/2 binary64) #s(literal 0 binary64)))
(fma.f64 x #s(literal 1/2 binary64) (fma.f64 y #s(literal 1/2 binary64) #s(literal 0 binary64)))
(fma.f64 x (/.f64 (fma.f64 x #s(literal 1/4 binary64) #s(literal 0 binary64)) (fma.f64 x #s(literal 1/2 binary64) #s(literal 0 binary64))) (fma.f64 y #s(literal 1/2 binary64) #s(literal 0 binary64)))
(fma.f64 x (*.f64 (fma.f64 x #s(literal 1/4 binary64) #s(literal 0 binary64)) (/.f64 #s(literal 2 binary64) x)) (fma.f64 y #s(literal 1/2 binary64) #s(literal 0 binary64)))
(fma.f64 y #s(literal 1/2 binary64) (fma.f64 x #s(literal 1/2 binary64) #s(literal 0 binary64)))
(fma.f64 y (/.f64 (fma.f64 y #s(literal 1/4 binary64) #s(literal 0 binary64)) (fma.f64 y #s(literal 1/2 binary64) #s(literal 0 binary64))) (fma.f64 x #s(literal 1/2 binary64) #s(literal 0 binary64)))
(fma.f64 y (*.f64 (fma.f64 y #s(literal 1/4 binary64) #s(literal 0 binary64)) (/.f64 #s(literal 2 binary64) y)) (fma.f64 x #s(literal 1/2 binary64) #s(literal 0 binary64)))
(fma.f64 (+.f64 x y) #s(literal 1/2 binary64) #s(literal 0 binary64))
(fma.f64 #s(literal 1/2 binary64) x (fma.f64 y #s(literal 1/2 binary64) #s(literal 0 binary64)))
(fma.f64 #s(literal 1/2 binary64) y (fma.f64 x #s(literal 1/2 binary64) #s(literal 0 binary64)))
(fma.f64 #s(literal 1/2 binary64) (+.f64 x y) #s(literal 0 binary64))
(fma.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y y) #s(literal 0 binary64)) (fma.f64 y #s(literal 1/2 binary64) #s(literal 0 binary64))) (fma.f64 x #s(literal 1/2 binary64) #s(literal 0 binary64)))
(fma.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 x #s(literal 1/2 binary64) #s(literal 0 binary64))) (fma.f64 y #s(literal 1/2 binary64) #s(literal 0 binary64)))
(fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 y y) y) (fma.f64 x #s(literal 1/2 binary64) #s(literal 0 binary64)))
(fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x x) x) (fma.f64 y #s(literal 1/2 binary64) #s(literal 0 binary64)))
(fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)) (fma.f64 y #s(literal 1/2 binary64) #s(literal 0 binary64)))
(fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 y (*.f64 y y)) (*.f64 y y)) (fma.f64 x #s(literal 1/2 binary64) #s(literal 0 binary64)))
(fma.f64 #s(literal 1/2 binary64) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y y) #s(literal 0 binary64)) (/.f64 #s(literal 2 binary64) y)) (fma.f64 x #s(literal 1/2 binary64) #s(literal 0 binary64)))
(fma.f64 #s(literal 1/2 binary64) (*.f64 (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 0 binary64)) #s(literal 0 binary64)) (/.f64 #s(literal 2 binary64) x)) (fma.f64 y #s(literal 1/2 binary64) #s(literal 0 binary64)))
(fma.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 0 binary64)) #s(literal 1 binary64) (fma.f64 y #s(literal 1/2 binary64) #s(literal 0 binary64)))
(fma.f64 (fma.f64 y #s(literal 1/2 binary64) #s(literal 0 binary64)) #s(literal 1 binary64) (fma.f64 x #s(literal 1/2 binary64) #s(literal 0 binary64)))
(fma.f64 (fma.f64 (*.f64 y (*.f64 y y)) #s(literal 1/8 binary64) #s(literal 0 binary64)) (/.f64 #s(literal 4 binary64) (*.f64 y y)) (fma.f64 x #s(literal 1/2 binary64) #s(literal 0 binary64)))
(fma.f64 (fma.f64 y (fma.f64 y #s(literal 1/4 binary64) #s(literal 0 binary64)) #s(literal 0 binary64)) (/.f64 #s(literal 2 binary64) y) (fma.f64 x #s(literal 1/2 binary64) #s(literal 0 binary64)))
(fma.f64 (*.f64 x (*.f64 x x)) (/.f64 #s(literal 1/8 binary64) (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) #s(literal 0 binary64))) (fma.f64 y #s(literal 1/2 binary64) #s(literal 0 binary64)))
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(*.f64 (/.f64 (fma.f64 y (fma.f64 y #s(literal 1/4 binary64) #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 (*.f64 y y) #s(literal -1/4 binary64) #s(literal 0 binary64))) (fma.f64 y #s(literal -1/2 binary64) #s(literal 0 binary64)))
(*.f64 (/.f64 (fma.f64 y #s(literal 1/4 binary64) #s(literal 0 binary64)) (fma.f64 (*.f64 y (*.f64 y y)) #s(literal 1/8 binary64) #s(literal 0 binary64))) (/.f64 y (/.f64 #s(literal 4 binary64) (*.f64 y y))))
(*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y y) #s(literal 0 binary64)) (fma.f64 (*.f64 y (*.f64 y y)) #s(literal 1/8 binary64) #s(literal 0 binary64))) (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 4 binary64) (*.f64 y y))))

simplify497.0ms (10.9%)

Memory
-5.8MiB live, 715.1MiB allocated
Algorithm
egg-herbie
Rules
17 664×accelerator-lowering-fma.f32
17 664×accelerator-lowering-fma.f64
2 856×+-lowering-+.f64
2 856×+-lowering-+.f32
2 768×*-lowering-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
038240
1115240
2264240
3778240
41806240
52643240
63316240
73616240
83778240
93814240
106033240
08695240
Stop Event
iter limit
node limit
Counts
72 → 72
Calls
Call 1
Inputs
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 y)
(+ (* 1/2 x) (* 1/2 y))
(+ (* 1/2 x) (* 1/2 y))
(+ (* 1/2 x) (* 1/2 y))
(* 1/2 x)
(* x (+ 1/2 (* 1/2 (/ y x))))
(* x (+ 1/2 (* 1/2 (/ y x))))
(* x (+ 1/2 (* 1/2 (/ y x))))
(* 1/2 x)
(* -1 (* x (- (* -1/2 (/ y x)) 1/2)))
(* -1 (* x (- (* -1/2 (/ y x)) 1/2)))
(* -1 (* x (- (* -1/2 (/ y x)) 1/2)))
(* 1/2 x)
(+ (* 1/2 x) (* 1/2 y))
(+ (* 1/2 x) (* 1/2 y))
(+ (* 1/2 x) (* 1/2 y))
(* 1/2 y)
(* y (+ 1/2 (* 1/2 (/ x y))))
(* y (+ 1/2 (* 1/2 (/ x y))))
(* y (+ 1/2 (* 1/2 (/ x y))))
(* 1/2 y)
(* -1 (* y (- (* -1/2 (/ x y)) 1/2)))
(* -1 (* y (- (* -1/2 (/ x y)) 1/2)))
(* -1 (* y (- (* -1/2 (/ x y)) 1/2)))
(* 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)
Outputs
y
(+ x y)
(+.f64 y x)
(+ x y)
(+.f64 y x)
(+ x y)
(+.f64 y x)
x
(* x (+ 1 (/ y x)))
(+.f64 y x)
(* x (+ 1 (/ y x)))
(+.f64 y x)
(* x (+ 1 (/ y x)))
(+.f64 y x)
x
(* -1 (* x (- (* -1 (/ y x)) 1)))
(+.f64 y x)
(* -1 (* x (- (* -1 (/ y x)) 1)))
(+.f64 y x)
(* -1 (* x (- (* -1 (/ y x)) 1)))
(+.f64 y x)
x
(+ x y)
(+.f64 y x)
(+ x y)
(+.f64 y x)
(+ x y)
(+.f64 y x)
y
(* y (+ 1 (/ x y)))
(+.f64 y x)
(* y (+ 1 (/ x y)))
(+.f64 y x)
(* y (+ 1 (/ x y)))
(+.f64 y x)
y
(* -1 (* y (- (* -1 (/ x y)) 1)))
(+.f64 y x)
(* -1 (* y (- (* -1 (/ x y)) 1)))
(+.f64 y x)
(* -1 (* y (- (* -1 (/ x y)) 1)))
(+.f64 y x)
(* 1/2 y)
(fma.f64 y #s(literal 1/2 binary64) #s(literal 0 binary64))
(+ (* 1/2 x) (* 1/2 y))
(fma.f64 (+.f64 y x) #s(literal 1/2 binary64) #s(literal 0 binary64))
(+ (* 1/2 x) (* 1/2 y))
(fma.f64 (+.f64 y x) #s(literal 1/2 binary64) #s(literal 0 binary64))
(+ (* 1/2 x) (* 1/2 y))
(fma.f64 (+.f64 y x) #s(literal 1/2 binary64) #s(literal 0 binary64))
(* 1/2 x)
(fma.f64 x #s(literal 1/2 binary64) #s(literal 0 binary64))
(* x (+ 1/2 (* 1/2 (/ y x))))
(fma.f64 (+.f64 y x) #s(literal 1/2 binary64) #s(literal 0 binary64))
(* x (+ 1/2 (* 1/2 (/ y x))))
(fma.f64 (+.f64 y x) #s(literal 1/2 binary64) #s(literal 0 binary64))
(* x (+ 1/2 (* 1/2 (/ y x))))
(fma.f64 (+.f64 y x) #s(literal 1/2 binary64) #s(literal 0 binary64))
(* 1/2 x)
(fma.f64 x #s(literal 1/2 binary64) #s(literal 0 binary64))
(* -1 (* x (- (* -1/2 (/ y x)) 1/2)))
(fma.f64 (+.f64 y x) #s(literal 1/2 binary64) #s(literal 0 binary64))
(* -1 (* x (- (* -1/2 (/ y x)) 1/2)))
(fma.f64 (+.f64 y x) #s(literal 1/2 binary64) #s(literal 0 binary64))
(* -1 (* x (- (* -1/2 (/ y x)) 1/2)))
(fma.f64 (+.f64 y x) #s(literal 1/2 binary64) #s(literal 0 binary64))
(* 1/2 x)
(fma.f64 x #s(literal 1/2 binary64) #s(literal 0 binary64))
(+ (* 1/2 x) (* 1/2 y))
(fma.f64 (+.f64 y x) #s(literal 1/2 binary64) #s(literal 0 binary64))
(+ (* 1/2 x) (* 1/2 y))
(fma.f64 (+.f64 y x) #s(literal 1/2 binary64) #s(literal 0 binary64))
(+ (* 1/2 x) (* 1/2 y))
(fma.f64 (+.f64 y x) #s(literal 1/2 binary64) #s(literal 0 binary64))
(* 1/2 y)
(fma.f64 y #s(literal 1/2 binary64) #s(literal 0 binary64))
(* y (+ 1/2 (* 1/2 (/ x y))))
(fma.f64 (+.f64 y x) #s(literal 1/2 binary64) #s(literal 0 binary64))
(* y (+ 1/2 (* 1/2 (/ x y))))
(fma.f64 (+.f64 y x) #s(literal 1/2 binary64) #s(literal 0 binary64))
(* y (+ 1/2 (* 1/2 (/ x y))))
(fma.f64 (+.f64 y x) #s(literal 1/2 binary64) #s(literal 0 binary64))
(* 1/2 y)
(fma.f64 y #s(literal 1/2 binary64) #s(literal 0 binary64))
(* -1 (* y (- (* -1/2 (/ x y)) 1/2)))
(fma.f64 (+.f64 y x) #s(literal 1/2 binary64) #s(literal 0 binary64))
(* -1 (* y (- (* -1/2 (/ x y)) 1/2)))
(fma.f64 (+.f64 y x) #s(literal 1/2 binary64) #s(literal 0 binary64))
(* -1 (* y (- (* -1/2 (/ x y)) 1/2)))
(fma.f64 (+.f64 y x) #s(literal 1/2 binary64) #s(literal 0 binary64))
(* 1/2 x)
(fma.f64 x #s(literal 1/2 binary64) #s(literal 0 binary64))
(* 1/2 x)
(fma.f64 x #s(literal 1/2 binary64) #s(literal 0 binary64))
(* 1/2 x)
(fma.f64 x #s(literal 1/2 binary64) #s(literal 0 binary64))
(* 1/2 x)
(fma.f64 x #s(literal 1/2 binary64) #s(literal 0 binary64))
(* 1/2 x)
(fma.f64 x #s(literal 1/2 binary64) #s(literal 0 binary64))
(* 1/2 x)
(fma.f64 x #s(literal 1/2 binary64) #s(literal 0 binary64))
(* 1/2 x)
(fma.f64 x #s(literal 1/2 binary64) #s(literal 0 binary64))
(* 1/2 x)
(fma.f64 x #s(literal 1/2 binary64) #s(literal 0 binary64))
(* 1/2 x)
(fma.f64 x #s(literal 1/2 binary64) #s(literal 0 binary64))
(* 1/2 x)
(fma.f64 x #s(literal 1/2 binary64) #s(literal 0 binary64))
(* 1/2 x)
(fma.f64 x #s(literal 1/2 binary64) #s(literal 0 binary64))
(* 1/2 x)
(fma.f64 x #s(literal 1/2 binary64) #s(literal 0 binary64))
(* 1/2 y)
(fma.f64 y #s(literal 1/2 binary64) #s(literal 0 binary64))
(* 1/2 y)
(fma.f64 y #s(literal 1/2 binary64) #s(literal 0 binary64))
(* 1/2 y)
(fma.f64 y #s(literal 1/2 binary64) #s(literal 0 binary64))
(* 1/2 y)
(fma.f64 y #s(literal 1/2 binary64) #s(literal 0 binary64))
(* 1/2 y)
(fma.f64 y #s(literal 1/2 binary64) #s(literal 0 binary64))
(* 1/2 y)
(fma.f64 y #s(literal 1/2 binary64) #s(literal 0 binary64))
(* 1/2 y)
(fma.f64 y #s(literal 1/2 binary64) #s(literal 0 binary64))
(* 1/2 y)
(fma.f64 y #s(literal 1/2 binary64) #s(literal 0 binary64))
(* 1/2 y)
(fma.f64 y #s(literal 1/2 binary64) #s(literal 0 binary64))
(* 1/2 y)
(fma.f64 y #s(literal 1/2 binary64) #s(literal 0 binary64))
(* 1/2 y)
(fma.f64 y #s(literal 1/2 binary64) #s(literal 0 binary64))
(* 1/2 y)
(fma.f64 y #s(literal 1/2 binary64) #s(literal 0 binary64))

eval97.0ms (2.1%)

Memory
1.4MiB live, 230.6MiB allocated
Compiler

Compiled 14 330 to 1 351 computations (90.6% saved)

prune97.0ms (2.1%)

Memory
25.7MiB live, 277.0MiB allocated
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New8442846
Fresh000
Picked213
Done000
Total8463849
Accuracy
100.0%
Counts
849 → 3
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(*.f64 (+.f64 x y) #s(literal 1/2 binary64))
53.2%
(*.f64 y #s(literal 1/2 binary64))
48.3%
(*.f64 x #s(literal 1/2 binary64))
Compiler

Compiled 17 to 13 computations (23.5% saved)

simplify4.0ms (0.1%)

Memory
-26.4MiB live, 13.2MiB allocated
Algorithm
egg-herbie
Localize:

Found 2 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 y #s(literal 1/2 binary64))
cost-diff0
(*.f64 x #s(literal 1/2 binary64))
Rules
*-lowering-*.f32
*-lowering-*.f64
*-commutative
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0510
1710
0710
Stop Event
iter limit
saturated
Calls
Call 1
Inputs
(* x 1/2)
x
1/2
(* y 1/2)
y
1/2
Outputs
(* x 1/2)
(*.f64 x #s(literal 1/2 binary64))
x
1/2
#s(literal 1/2 binary64)
(* y 1/2)
(*.f64 #s(literal 1/2 binary64) y)
y
1/2
#s(literal 1/2 binary64)

localize16.0ms (0.3%)

Memory
4.5MiB live, 43.7MiB allocated
Localize:

Found 2 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(*.f64 y #s(literal 1/2 binary64))
accuracy100.0%
(*.f64 x #s(literal 1/2 binary64))
Samples
10.0ms256×0valid
Compiler

Compiled 12 to 7 computations (41.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 4.0ms
ival-mult: 3.0ms (79.5% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series1.0ms (0%)

Memory
2.6MiB live, 2.6MiB allocated
Counts
2 → 24
Calls
Call 1
Inputs
#<alt (* x 1/2)>
#<alt (* y 1/2)>
Outputs
#<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)>
Calls

6 calls:

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

rewrite8.0ms (0.2%)

Memory
14.0MiB live, 14.0MiB allocated
Algorithm
batch-egg-rewrite
Rules
*-lowering-*.f32
*-lowering-*.f64
*-commutative
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
056
176
076
Stop Event
iter limit
saturated
Counts
2 → 4
Calls
Call 1
Inputs
(* x 1/2)
(* y 1/2)
Outputs
(*.f64 x #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 #s(literal 1/2 binary64) y)
(*.f64 y #s(literal 1/2 binary64))

simplify6.0ms (0.1%)

Memory
-27.3MiB live, 11.8MiB allocated
Algorithm
egg-herbie
Rules
*-lowering-*.f32
*-lowering-*.f64
*-commutative
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0572
1772
0772
Stop Event
iter limit
saturated
Counts
24 → 24
Calls
Call 1
Inputs
(* 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)
Outputs
(* 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)

eval3.0ms (0.1%)

Memory
9.2MiB live, 9.2MiB allocated
Compiler

Compiled 86 to 7 computations (91.9% saved)

prune2.0ms (0.1%)

Memory
6.8MiB live, 6.8MiB allocated
Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New28028
Fresh000
Picked022
Done011
Total28331
Accuracy
100.0%
Counts
31 → 3
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(*.f64 (+.f64 x y) #s(literal 1/2 binary64))
53.2%
(*.f64 y #s(literal 1/2 binary64))
48.3%
(*.f64 x #s(literal 1/2 binary64))
Compiler

Compiled 45 to 27 computations (40% saved)

regimes12.0ms (0.3%)

Memory
-10.8MiB live, 30.7MiB allocated
Counts
6 → 1
Calls
Call 1
Inputs
(*.f64 x #s(literal 1/2 binary64))
(*.f64 y #s(literal 1/2 binary64))
(fma.f64 #s(literal 1/2 binary64) x #s(literal 0 binary64))
(fma.f64 #s(literal 1/2 binary64) y #s(literal 0 binary64))
(*.f64 (+.f64 x y) #s(literal 1/2 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x y))
Outputs
(*.f64 (+.f64 x y) #s(literal 1/2 binary64))
Calls

4 calls:

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

Compiled 20 to 14 computations (30% saved)

regimes9.0ms (0.2%)

Memory
24.3MiB live, 24.3MiB allocated
Counts
4 → 2
Calls
Call 1
Inputs
(*.f64 x #s(literal 1/2 binary64))
(*.f64 y #s(literal 1/2 binary64))
(fma.f64 #s(literal 1/2 binary64) x #s(literal 0 binary64))
(fma.f64 #s(literal 1/2 binary64) y #s(literal 0 binary64))
Outputs
(*.f64 x #s(literal 1/2 binary64))
(*.f64 y #s(literal 1/2 binary64))
Calls

4 calls:

2.0ms
(+.f64 x y)
2.0ms
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x y))
2.0ms
x
2.0ms
y
Results
AccuracySegmentsBranch
85.2%2x
81.3%2y
98.0%2(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x y))
98.0%2(+.f64 x y)
Compiler

Compiled 20 to 14 computations (30% saved)

regimes6.0ms (0.1%)

Memory
-23.0MiB live, 16.2MiB allocated
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

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

4 calls:

2.0ms
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x y))
1.0ms
y
1.0ms
(+.f64 x y)
1.0ms
x
Results
AccuracySegmentsBranch
48.3%1y
48.3%1x
48.3%1(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x y))
48.3%1(+.f64 x y)
Compiler

Compiled 20 to 14 computations (30% saved)

bsearch0.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-2.54003314731275e-234
2.4505652725470775e-282
Compiler

Compiled 12 to 12 computations (0% saved)

simplify7.0ms (0.2%)

Memory
18.1MiB live, 18.1MiB allocated
Algorithm
egg-herbie
Rules
*-commutative_binary64
+-commutative_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01020
11420
Stop Event
saturated
Calls
Call 1
Inputs
(*.f64 (+.f64 x y) #s(literal 1/2 binary64))
(if (<=.f64 (+.f64 x y) #s(literal -1789931494904685/894965747452342537638086997927338702835054349130332891545045303197220750167278254979540133307019636732167484663093741252324901898658543021888907063798893113141027322124350378195837539421218086757657500257242038983622829800210549487979962097077321728 binary64)) (*.f64 x #s(literal 1/2 binary64)) (*.f64 y #s(literal 1/2 binary64)))
(*.f64 x #s(literal 1/2 binary64))
Outputs
(*.f64 (+.f64 x y) #s(literal 1/2 binary64))
(if (<=.f64 (+.f64 x y) #s(literal -1789931494904685/894965747452342537638086997927338702835054349130332891545045303197220750167278254979540133307019636732167484663093741252324901898658543021888907063798893113141027322124350378195837539421218086757657500257242038983622829800210549487979962097077321728 binary64)) (*.f64 x #s(literal 1/2 binary64)) (*.f64 y #s(literal 1/2 binary64)))
(*.f64 x #s(literal 1/2 binary64))

soundness912.0ms (20%)

Memory
-28.6MiB live, 457.8MiB allocated
Rules
17 664×accelerator-lowering-fma.f32
17 664×accelerator-lowering-fma.f64
8 694×accelerator-lowering-fma.f32
8 694×accelerator-lowering-fma.f64
4 570×accelerator-lowering-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01014
15114
250214
3541614
0822114
089
1319
21799
315249
084229
038168
1115168
2264168
3783168
41834168
52668168
63340168
73639168
83801168
93837168
106026168
08686168
Stop Event
done
iter limit
node limit
iter limit
node limit
iter limit
node limit
Compiler

Compiled 62 to 42 computations (32.3% saved)

preprocess139.0ms (3%)

Memory
14.1MiB live, 92.9MiB allocated
Remove

(sort x y)

Compiler

Compiled 90 to 54 computations (40% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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