Examples.Basics.BasicTests:f1 from sbv-4.4

Time bar (total: 9.7s)

analyze0.0ms (0%)

Memory
0.3MiB live, 0.3MiB 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 7 computations (22.2% saved)

sample989.0ms (10.2%)

Memory
3.3MiB live, 708.8MiB allocated
Samples
498.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 213.0ms
ival-mult: 114.0ms (53.6% of total)
ival-add: 47.0ms (22.1% of total)
ival-sub: 43.0ms (20.2% of total)
ival-true: 5.0ms (2.4% of total)
ival-assert: 3.0ms (1.4% of total)
Bogosity

preprocess1.2s (12.5%)

Memory
-7.3MiB live, 1 134.9MiB allocated
Algorithm
egg-herbie
Rules
37 776×accelerator-lowering-fma.f32
37 776×accelerator-lowering-fma.f64
8 740×+-lowering-+.f64
8 740×+-lowering-+.f32
3 214×associate-+r+
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01848
14842
216442
354142
4117642
5202142
6254342
7323642
8419342
9479242
10499642
11506242
12512642
13515842
14643042
15785842
057
197
2287
3707
41827
53467
66937
713237
822617
928827
1030507
1130927
1231307
1331307
1431307
1531327
082647
Stop Event
iter limit
node limit
node limit
Calls
Call 1
Inputs
(* (+ x y) (- x y))
Outputs
(* (+ x y) (- x y))
(fma.f64 (+.f64 x y) (-.f64 x y) #s(literal 0 binary64))
Call 2
Inputs
(* (+ x y) (- x y))
(* (+ (neg x) y) (- (neg x) y))
(* (+ x (neg y)) (- x (neg y)))
(neg (* (+ (neg x) y) (- (neg x) y)))
(neg (* (+ x (neg y)) (- x (neg y))))
(* (+ y x) (- y x))
Outputs
(* (+ x y) (- x y))
(- (* x x) (* y y))
(* (+ (neg x) y) (- (neg x) y))
(- (* x x) (* y y))
(* (+ x (neg y)) (- x (neg y)))
(- (* x x) (* y y))
(neg (* (+ (neg x) y) (- (neg x) y)))
(- (* y y) (* x x))
(neg (* (+ x (neg y)) (- x (neg y))))
(- (* y y) (* x x))
(* (+ y x) (- y x))
(- (* y y) (* x x))
Symmetry

(abs x)

(abs y)

explain187.0ms (1.9%)

Memory
5.6MiB live, 79.7MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-y
00-0-(*.f64 (+.f64 x y) (-.f64 x y))
00-0-(+.f64 x y)
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
160.0ms512×0valid
Compiler

Compiled 52 to 24 computations (53.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 81.0ms
ival-add: 75.0ms (92.4% of total)
ival-sub: 3.0ms (3.7% of total)
ival-mult: 3.0ms (3.7% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

eval0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated
Compiler

Compiled 2 to 2 computations (0% saved)

prune1.0ms (0%)

Memory
1.2MiB live, 1.2MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(*.f64 (+.f64 x y) (-.f64 x y))
Compiler

Compiled 9 to 5 computations (44.4% saved)

simplify1.3s (13.4%)

Memory
2.5MiB live, 1 265.4MiB allocated
Algorithm
egg-herbie
Localize:

Found 3 expressions of interest:

NewMetricScoreProgram
cost-diff-64
(*.f64 (+.f64 x y) (-.f64 x y))
cost-diff0
(-.f64 x y)
cost-diff0
(+.f64 x y)
Rules
37 776×accelerator-lowering-fma.f32
37 776×accelerator-lowering-fma.f64
8 740×+-lowering-+.f64
8 740×+-lowering-+.f32
3 214×associate-+r+
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0515
1915
22815
37015
418215
534615
669315
7132315
8226115
9288215
10305015
11309215
12313015
13313015
14313015
15313215
0826415
Stop Event
iter limit
node limit
Calls
Call 1
Inputs
(* (+ x y) (- x y))
(+ x y)
x
y
(- x y)
Outputs
(* (+ x y) (- x y))
(fma.f64 (+.f64 x y) (-.f64 x y) #s(literal 0 binary64))
(+ x y)
(+.f64 x y)
x
y
(- x y)
(-.f64 x y)

localize32.0ms (0.3%)

Memory
-10.1MiB live, 32.8MiB allocated
Localize:

Found 3 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(-.f64 x y)
accuracy100.0%
(+.f64 x y)
accuracy100.0%
(*.f64 (+.f64 x y) (-.f64 x y))
Samples
10.0ms256×0valid
Compiler

Compiled 17 to 7 computations (58.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 5.0ms
ival-sub: 1.0ms (21.6% of total)
ival-add: 1.0ms (21.6% of total)
ival-mult: 1.0ms (21.6% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series3.0ms (0%)

Memory
2.9MiB live, 2.9MiB allocated
Counts
3 → 72
Calls
Call 1
Inputs
#<alt (+ x y)>
#<alt (- x y)>
#<alt (* (+ x y) (- x y))>
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 y)>
#<alt (- x y)>
#<alt (- x y)>
#<alt (- x y)>
#<alt x>
#<alt (* x (+ 1 (* -1 (/ y x))))>
#<alt (* x (+ 1 (* -1 (/ y x))))>
#<alt (* x (+ 1 (* -1 (/ y x))))>
#<alt x>
#<alt (* -1 (* x (- (/ y x) 1)))>
#<alt (* -1 (* x (- (/ y x) 1)))>
#<alt (* -1 (* x (- (/ y x) 1)))>
#<alt x>
#<alt (+ x (* -1 y))>
#<alt (+ x (* -1 y))>
#<alt (+ x (* -1 y))>
#<alt (* -1 y)>
#<alt (* y (- (/ x y) 1))>
#<alt (* y (- (/ x y) 1))>
#<alt (* y (- (/ x y) 1))>
#<alt (* -1 y)>
#<alt (* -1 (* y (+ 1 (* -1 (/ x y)))))>
#<alt (* -1 (* y (+ 1 (* -1 (/ x y)))))>
#<alt (* -1 (* y (+ 1 (* -1 (/ x y)))))>
#<alt (* -1 (pow y 2))>
#<alt (+ (* -1 (pow y 2)) (* x (+ y (* -1 y))))>
#<alt (+ (* -1 (pow y 2)) (* x (+ x (+ y (* -1 y)))))>
#<alt (+ (* -1 (pow y 2)) (* x (+ x (+ y (* -1 y)))))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (+ (* -1 (/ y x)) (/ y x))))>
#<alt (* (pow x 2) (+ 1 (+ (* -1 (/ y x)) (+ (* -1 (/ (pow y 2) (pow x 2))) (/ y x)))))>
#<alt (* (pow x 2) (+ 1 (+ (* -1 (/ y x)) (+ (* -1 (/ (pow y 2) (pow x 2))) (/ y x)))))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (+ (* -1 (/ y x)) (/ y x))))>
#<alt (* (pow x 2) (+ 1 (* -1 (/ (+ (* -1 (+ y (* -1 y))) (/ (pow y 2) x)) x))))>
#<alt (* (pow x 2) (+ 1 (* -1 (/ (+ (* -1 (+ y (* -1 y))) (/ (pow y 2) x)) x))))>
#<alt (pow x 2)>
#<alt (+ (* y (+ x (* -1 x))) (pow x 2))>
#<alt (+ (* y (+ x (+ (* -1 x) (* -1 y)))) (pow x 2))>
#<alt (+ (* y (+ x (+ (* -1 x) (* -1 y)))) (pow x 2))>
#<alt (* -1 (pow y 2))>
#<alt (* (pow y 2) (- (+ (* -1 (/ x y)) (/ x y)) 1))>
#<alt (* (pow y 2) (- (+ (* -1 (/ x y)) (+ (/ x y) (/ (pow x 2) (pow y 2)))) 1))>
#<alt (* (pow y 2) (- (+ (* -1 (/ x y)) (+ (/ x y) (/ (pow x 2) (pow y 2)))) 1))>
#<alt (* -1 (pow y 2))>
#<alt (* (pow y 2) (- (* -1 (/ (+ x (* -1 x)) y)) 1))>
#<alt (* (pow y 2) (- (* -1 (/ (+ x (+ (* -1 x) (* -1 (/ (pow x 2) y)))) y)) 1))>
#<alt (* (pow y 2) (- (* -1 (/ (+ x (+ (* -1 x) (* -1 (/ (pow x 2) y)))) y)) 1))>
Calls

18 calls:

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

rewrite761.0ms (7.9%)

Memory
27.3MiB live, 809.4MiB allocated
Algorithm
batch-egg-rewrite
Rules
5 088×accelerator-lowering-fma.f32
5 088×accelerator-lowering-fma.f64
4 974×*-lowering-*.f32
4 974×*-lowering-*.f64
3 706×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0513
12613
224713
3394213
0946813
Stop Event
iter limit
node limit
Counts
3 → 1 091
Calls
Call 1
Inputs
(+ x y)
(- x y)
(* (+ x y) (- x y))
Outputs
(+.f64 x y)
(+.f64 x (neg.f64 (-.f64 #s(literal 0 binary64) y)))
(+.f64 x (*.f64 #s(literal 1 binary64) y))
(+.f64 y x)
(+.f64 (/.f64 (*.f64 x x) (-.f64 x y)) (neg.f64 (/.f64 (*.f64 y y) (-.f64 x y))))
(+.f64 (*.f64 #s(literal 1 binary64) y) (*.f64 #s(literal 1 binary64) x))
(+.f64 (*.f64 (*.f64 (/.f64 (-.f64 x y) (fma.f64 x x (*.f64 y (-.f64 y x)))) #s(literal 1 binary64)) (*.f64 x x)) (*.f64 (*.f64 (/.f64 (-.f64 x y) (fma.f64 x x (*.f64 y (-.f64 y x)))) #s(literal 1 binary64)) (*.f64 y (+.f64 x y))))
(+.f64 (*.f64 (*.f64 (/.f64 (-.f64 x y) (fma.f64 x x (*.f64 y (-.f64 y x)))) #s(literal 1 binary64)) (*.f64 y (+.f64 x y))) (*.f64 (*.f64 (/.f64 (-.f64 x y) (fma.f64 x x (*.f64 y (-.f64 y x)))) #s(literal 1 binary64)) (*.f64 x x)))
(+.f64 (*.f64 (*.f64 (/.f64 (-.f64 x y) (fma.f64 x x (*.f64 y (-.f64 y x)))) #s(literal 1 binary64)) (fma.f64 x x (*.f64 y y))) (*.f64 (*.f64 (/.f64 (-.f64 x y) (fma.f64 x x (*.f64 y (-.f64 y x)))) #s(literal 1 binary64)) (*.f64 x y)))
(+.f64 (*.f64 #s(literal 1 binary64) x) (*.f64 #s(literal 1 binary64) y))
(+.f64 (*.f64 (*.f64 x x) (*.f64 (/.f64 (-.f64 x y) (fma.f64 x x (*.f64 y (-.f64 y x)))) #s(literal 1 binary64))) (*.f64 (*.f64 y (+.f64 x y)) (*.f64 (/.f64 (-.f64 x y) (fma.f64 x x (*.f64 y (-.f64 y x)))) #s(literal 1 binary64))))
(+.f64 (*.f64 (*.f64 y (+.f64 x y)) (*.f64 (/.f64 (-.f64 x y) (fma.f64 x x (*.f64 y (-.f64 y x)))) #s(literal 1 binary64))) (*.f64 (*.f64 x x) (*.f64 (/.f64 (-.f64 x y) (fma.f64 x x (*.f64 y (-.f64 y x)))) #s(literal 1 binary64))))
(+.f64 (*.f64 (fma.f64 x x (*.f64 y y)) (*.f64 (/.f64 (-.f64 x y) (fma.f64 x x (*.f64 y (-.f64 y x)))) #s(literal 1 binary64))) (*.f64 (*.f64 x y) (*.f64 (/.f64 (-.f64 x y) (fma.f64 x x (*.f64 y (-.f64 y x)))) #s(literal 1 binary64))))
(+.f64 (*.f64 x #s(literal 1 binary64)) (*.f64 y #s(literal 1 binary64)))
(+.f64 (*.f64 y #s(literal 1 binary64)) (*.f64 x #s(literal 1 binary64)))
(+.f64 (-.f64 x #s(literal 0 binary64)) y)
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 x y))) #s(literal -1 binary64)))
(-.f64 x (-.f64 #s(literal 0 binary64) y))
(-.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 #s(literal 1 binary64) (*.f64 y #s(literal 1 binary64)))
(fma.f64 x (/.f64 x (-.f64 x y)) (neg.f64 (/.f64 (*.f64 y y) (-.f64 x y))))
(fma.f64 y #s(literal 1 binary64) (*.f64 x #s(literal 1 binary64)))
(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 x x) (*.f64 (/.f64 (-.f64 x y) (fma.f64 x x (*.f64 y (-.f64 y x)))) #s(literal 1 binary64)) (*.f64 (*.f64 y (+.f64 x y)) (*.f64 (/.f64 (-.f64 x y) (fma.f64 x x (*.f64 y (-.f64 y x)))) #s(literal 1 binary64))))
(fma.f64 (*.f64 y (+.f64 x y)) (*.f64 (/.f64 (-.f64 x y) (fma.f64 x x (*.f64 y (-.f64 y x)))) #s(literal 1 binary64)) (*.f64 (*.f64 x x) (*.f64 (/.f64 (-.f64 x y) (fma.f64 x x (*.f64 y (-.f64 y x)))) #s(literal 1 binary64))))
(fma.f64 #s(literal 1 binary64) x (*.f64 #s(literal 1 binary64) y))
(fma.f64 #s(literal 1 binary64) y (*.f64 #s(literal 1 binary64) x))
(fma.f64 (fma.f64 x x (*.f64 y y)) (*.f64 (/.f64 (-.f64 x y) (fma.f64 x x (*.f64 y (-.f64 y x)))) #s(literal 1 binary64)) (*.f64 (*.f64 x y) (*.f64 (/.f64 (-.f64 x y) (fma.f64 x x (*.f64 y (-.f64 y x)))) #s(literal 1 binary64))))
(fma.f64 (*.f64 (/.f64 (-.f64 x y) (fma.f64 x x (*.f64 y (-.f64 y x)))) #s(literal 1 binary64)) (*.f64 x x) (*.f64 (*.f64 (/.f64 (-.f64 x y) (fma.f64 x x (*.f64 y (-.f64 y x)))) #s(literal 1 binary64)) (*.f64 y (+.f64 x y))))
(fma.f64 (*.f64 (/.f64 (-.f64 x y) (fma.f64 x x (*.f64 y (-.f64 y x)))) #s(literal 1 binary64)) (*.f64 y (+.f64 x y)) (*.f64 (*.f64 (/.f64 (-.f64 x y) (fma.f64 x x (*.f64 y (-.f64 y x)))) #s(literal 1 binary64)) (*.f64 x x)))
(fma.f64 (*.f64 (/.f64 (-.f64 x y) (fma.f64 x x (*.f64 y (-.f64 y x)))) #s(literal 1 binary64)) (fma.f64 x x (*.f64 y y)) (*.f64 (*.f64 (/.f64 (-.f64 x y) (fma.f64 x x (*.f64 y (-.f64 y x)))) #s(literal 1 binary64)) (*.f64 x y)))
(fma.f64 (/.f64 x (*.f64 (+.f64 x y) (-.f64 x y))) (*.f64 x (+.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) (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y)))) (fma.f64 x x (*.f64 y (+.f64 x y))) (neg.f64 (/.f64 (*.f64 y y) (-.f64 x y))))
(fma.f64 (/.f64 x (*.f64 (/.f64 (-.f64 x y) (fma.f64 x x (*.f64 y (-.f64 y x)))) #s(literal 1 binary64))) (/.f64 x (fma.f64 x x (*.f64 y (-.f64 y x)))) (neg.f64 (/.f64 (*.f64 y y) (-.f64 x y))))
(fma.f64 (/.f64 x #s(literal 1 binary64)) (/.f64 x (-.f64 x y)) (neg.f64 (/.f64 (*.f64 y y) (-.f64 x y))))
(fma.f64 (/.f64 x (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y)))) (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 y (+.f64 x y))))) (neg.f64 (/.f64 (*.f64 y y) (-.f64 x y))))
(fma.f64 (/.f64 (*.f64 x x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 x y)) (neg.f64 (/.f64 (*.f64 y y) (-.f64 x y))))
(fma.f64 (/.f64 (*.f64 x x) (-.f64 #s(literal 0 binary64) (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))))) (-.f64 #s(literal 0 binary64) (fma.f64 x x (*.f64 y (+.f64 x y)))) (neg.f64 (/.f64 (*.f64 y y) (-.f64 x y))))
(fma.f64 (/.f64 (*.f64 x x) (*.f64 (+.f64 x y) (-.f64 #s(literal 0 binary64) (-.f64 x y)))) (-.f64 #s(literal 0 binary64) (+.f64 x y)) (neg.f64 (/.f64 (*.f64 y y) (-.f64 x y))))
(neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 x y)))
(/.f64 (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))) (fma.f64 x x (*.f64 y (-.f64 y x))))
(/.f64 (*.f64 (+.f64 x y) (-.f64 x y)) (-.f64 x y))
(/.f64 (*.f64 (+.f64 x y) (*.f64 (-.f64 x y) (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))))) (*.f64 (-.f64 x y) (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y)))))
(/.f64 (*.f64 (+.f64 x y) (*.f64 (-.f64 x y) (*.f64 (+.f64 x y) (-.f64 x y)))) (*.f64 (-.f64 x y) (*.f64 (+.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 x (*.f64 y (-.f64 y x)))))
(/.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 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 (fma.f64 x x (*.f64 y (-.f64 y x))) (fma.f64 x (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)) (*.f64 (*.f64 y (*.f64 y y)) (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y)))))))
(/.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 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 x y))))
(/.f64 (*.f64 (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))) (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y)))) (*.f64 (fma.f64 x x (*.f64 y (-.f64 y x))) (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y)))))
(/.f64 (*.f64 (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))) (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y)))) (*.f64 (-.f64 x y) (*.f64 (fma.f64 x x (*.f64 y (-.f64 y x))) (fma.f64 x x (*.f64 y (+.f64 x y))))))
(/.f64 (*.f64 (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))) (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y)))) (*.f64 (-.f64 x y) (fma.f64 (*.f64 y y) (fma.f64 x x (*.f64 y y)) (*.f64 (*.f64 x x) (*.f64 x 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 (*.f64 (-.f64 x y) (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y)))) (*.f64 (-.f64 x y) (fma.f64 x x (*.f64 y (-.f64 y x)))))
(/.f64 (*.f64 (-.f64 x y) (*.f64 (+.f64 x y) (-.f64 x y))) (*.f64 (-.f64 x y) (-.f64 x y)))
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(*.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 x y)))) (+.f64 x y)))
(*.f64 (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))) (/.f64 (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))) (*.f64 (fma.f64 x x (*.f64 y (-.f64 y x))) (fma.f64 x x (*.f64 y (+.f64 x y))))))
(*.f64 (*.f64 (+.f64 x y) (-.f64 x y)) #s(literal 1 binary64))
(*.f64 (*.f64 (+.f64 x y) (-.f64 x y)) (/.f64 (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))) (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y)))))
(*.f64 (*.f64 (+.f64 x y) (*.f64 (-.f64 x y) (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))))) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y)))))
(*.f64 (*.f64 (+.f64 x y) (*.f64 (-.f64 x y) (*.f64 (+.f64 x y) (-.f64 x y)))) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 x y) (-.f64 x y))))
(*.f64 #s(literal 1 binary64) (*.f64 (+.f64 x y) (-.f64 x y)))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 x y)) (*.f64 (-.f64 x y) (*.f64 (+.f64 x y) (-.f64 x y))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x y)) (*.f64 (+.f64 x y) (*.f64 (+.f64 x y) (-.f64 x y))))
(*.f64 (*.f64 (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))) (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y)))) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x x (*.f64 y (-.f64 y x))) (fma.f64 x x (*.f64 y (+.f64 x y))))))
(*.f64 (*.f64 (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))) (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y)))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) (fma.f64 x x (*.f64 y y)) (*.f64 (*.f64 x x) (*.f64 x x)))))
(*.f64 (*.f64 (fma.f64 x x (*.f64 y y)) (*.f64 (+.f64 x y) (-.f64 x y))) (/.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 y y))))
(*.f64 (*.f64 (-.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 x y) (*.f64 (+.f64 x y) (-.f64 x y))) (/.f64 #s(literal 1 binary64) (-.f64 x y)))
(*.f64 (*.f64 (+.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 x y)))))
(*.f64 (*.f64 (+.f64 x y) (*.f64 (+.f64 x y) (-.f64 x y))) (/.f64 #s(literal 1 binary64) (+.f64 x y)))
(*.f64 (*.f64 (/.f64 (-.f64 x y) (fma.f64 x x (*.f64 y (-.f64 y x)))) #s(literal 1 binary64)) (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))))
(*.f64 (*.f64 (/.f64 (-.f64 x y) (fma.f64 x x (*.f64 y (-.f64 y x)))) #s(literal 1 binary64)) (/.f64 (-.f64 x y) (/.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 y (+.f64 x y))))))
(*.f64 (*.f64 (/.f64 (-.f64 x y) (fma.f64 x x (*.f64 y (-.f64 y x)))) #s(literal 1 binary64)) (/.f64 (+.f64 x y) (/.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 y (-.f64 y x))))))
(*.f64 (/.f64 (+.f64 x y) #s(literal 1 binary64)) (-.f64 x y))
(*.f64 (/.f64 (-.f64 x y) (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y)))) (/.f64 (*.f64 (+.f64 x y) (-.f64 x y)) (/.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 y (+.f64 x y))))))
(*.f64 (/.f64 (-.f64 x y) #s(literal 1 binary64)) (+.f64 x y))
(*.f64 (/.f64 (-.f64 x y) (*.f64 (/.f64 (-.f64 x y) (fma.f64 x x (*.f64 y (-.f64 y x)))) #s(literal 1 binary64))) (/.f64 (*.f64 (+.f64 x y) (-.f64 x y)) (fma.f64 x x (*.f64 y (-.f64 y x)))))
(*.f64 (/.f64 (+.f64 x y) (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y)))) (/.f64 (*.f64 (+.f64 x y) (-.f64 x y)) (/.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 y (-.f64 y x))))))
(*.f64 (/.f64 (+.f64 x y) (*.f64 (/.f64 (-.f64 x y) (fma.f64 x x (*.f64 y (-.f64 y x)))) #s(literal 1 binary64))) (/.f64 (*.f64 (+.f64 x y) (-.f64 x y)) (fma.f64 x x (*.f64 y (+.f64 x y)))))
(*.f64 (/.f64 (*.f64 (+.f64 x y) (-.f64 x y)) (*.f64 (/.f64 (-.f64 x y) (fma.f64 x x (*.f64 y (-.f64 y x)))) #s(literal 1 binary64))) (/.f64 (-.f64 x y) (fma.f64 x x (*.f64 y (-.f64 y x)))))
(*.f64 (/.f64 (*.f64 (+.f64 x y) (-.f64 x y)) (*.f64 (/.f64 (-.f64 x y) (fma.f64 x x (*.f64 y (-.f64 y x)))) #s(literal 1 binary64))) (/.f64 (+.f64 x y) (fma.f64 x x (*.f64 y (+.f64 x y)))))
(*.f64 (*.f64 (+.f64 x y) (*.f64 (/.f64 (-.f64 x y) (fma.f64 x x (*.f64 y (-.f64 y x)))) #s(literal 1 binary64))) (fma.f64 x x (*.f64 y (-.f64 y x))))
(*.f64 (*.f64 (-.f64 x y) (*.f64 (/.f64 (-.f64 x y) (fma.f64 x x (*.f64 y (-.f64 y x)))) #s(literal 1 binary64))) (fma.f64 x x (*.f64 y (+.f64 x y))))
(*.f64 (/.f64 (*.f64 (+.f64 x y) (-.f64 x y)) #s(literal 1 binary64)) #s(literal 1 binary64))
(*.f64 (/.f64 (*.f64 (+.f64 x y) (*.f64 (+.f64 x y) (-.f64 x y))) (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y)))) (fma.f64 x x (*.f64 y (-.f64 y x))))
(*.f64 (/.f64 (*.f64 (+.f64 x y) (*.f64 (+.f64 x y) (-.f64 x y))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x y)))
(*.f64 (/.f64 (*.f64 (-.f64 x y) (*.f64 (+.f64 x y) (-.f64 x y))) (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y)))) (fma.f64 x x (*.f64 y (+.f64 x y))))
(*.f64 (/.f64 (*.f64 (-.f64 x y) (*.f64 (+.f64 x y) (-.f64 x y))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 x y)))
(*.f64 (/.f64 (*.f64 (+.f64 x y) (*.f64 (-.f64 x y) (fma.f64 x (*.f64 x x) (*.f64 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)))))) (fma.f64 x (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)) (*.f64 (*.f64 y (*.f64 y y)) (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))))))
(*.f64 (/.f64 (*.f64 (+.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))) (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))))) (*.f64 (fma.f64 x x (*.f64 y (-.f64 y x))) (fma.f64 x x (*.f64 y (+.f64 x y)))))
(*.f64 (/.f64 (*.f64 (+.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))) (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))))) (fma.f64 (*.f64 y y) (fma.f64 x x (*.f64 y y)) (*.f64 (*.f64 x x) (*.f64 x x))))
(*.f64 (/.f64 (*.f64 (+.f64 x y) (*.f64 (-.f64 x y) (*.f64 (+.f64 x y) (-.f64 x y)))) (*.f64 (fma.f64 x x (*.f64 y y)) (*.f64 (+.f64 x y) (-.f64 x y)))) (fma.f64 x x (*.f64 y y)))
(*.f64 (/.f64 (*.f64 (+.f64 x y) (*.f64 (-.f64 x y) (*.f64 (+.f64 x y) (-.f64 x y)))) (*.f64 (-.f64 x y) (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))))) (fma.f64 x x (*.f64 y (-.f64 y x))))
(*.f64 (/.f64 (*.f64 (+.f64 x y) (*.f64 (-.f64 x y) (*.f64 (+.f64 x y) (-.f64 x y)))) (*.f64 (+.f64 x y) (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))))) (fma.f64 x x (*.f64 y (+.f64 x y))))
(*.f64 (/.f64 (*.f64 (+.f64 x y) (*.f64 (+.f64 x y) (-.f64 x y))) (-.f64 #s(literal 0 binary64) (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))))) (-.f64 #s(literal 0 binary64) (fma.f64 x x (*.f64 y (-.f64 y x)))))
(*.f64 (/.f64 (*.f64 (+.f64 x y) (*.f64 (+.f64 x y) (-.f64 x y))) (*.f64 (+.f64 x y) (-.f64 #s(literal 0 binary64) (-.f64 x y)))) (-.f64 #s(literal 0 binary64) (-.f64 x y)))
(*.f64 (/.f64 (*.f64 (+.f64 x y) (*.f64 (+.f64 x y) (-.f64 x y))) (*.f64 (+.f64 x y) (-.f64 y x))) (-.f64 y x))
(*.f64 (/.f64 (*.f64 (-.f64 x y) (*.f64 (+.f64 x y) (-.f64 x y))) (*.f64 (+.f64 x y) (-.f64 #s(literal 0 binary64) (-.f64 x y)))) (-.f64 #s(literal 0 binary64) (+.f64 x y)))
(*.f64 (/.f64 (*.f64 (-.f64 x y) (*.f64 (+.f64 x y) (-.f64 x y))) (-.f64 #s(literal 0 binary64) (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))))) (-.f64 #s(literal 0 binary64) (fma.f64 x x (*.f64 y (+.f64 x y)))))
(*.f64 (/.f64 (*.f64 (-.f64 x y) (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 x)) (*.f64 (*.f64 y (-.f64 y x)) (*.f64 y (-.f64 y x)))))) (fma.f64 (*.f64 y (-.f64 y x)) (-.f64 (*.f64 y (-.f64 y x)) (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 x x))))
(*.f64 (/.f64 (*.f64 (-.f64 x y) (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) (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 x y)) (*.f64 (*.f64 y (+.f64 x y)) (*.f64 y (+.f64 x y)))))) (fma.f64 (*.f64 y (+.f64 x y)) (-.f64 (*.f64 y (+.f64 x y)) (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 x x))))
(*.f64 (/.f64 (*.f64 (+.f64 x y) (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y)))) (*.f64 (fma.f64 x x (*.f64 y (+.f64 x y))) (-.f64 (*.f64 x x) (*.f64 y (+.f64 x y))))) (-.f64 (*.f64 x x) (*.f64 y (+.f64 x y))))

simplify637.0ms (6.6%)

Memory
-149.0MiB live, 527.6MiB allocated
Algorithm
egg-herbie
Rules
14 152×accelerator-lowering-fma.f32
14 152×accelerator-lowering-fma.f64
2 614×--lowering--.f32
2 614×--lowering--.f64
2 222×*-lowering-*.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
086309
1265249
2789249
33286249
08553249
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 y)
(- x y)
(- x y)
(- x y)
x
(* x (+ 1 (* -1 (/ y x))))
(* x (+ 1 (* -1 (/ y x))))
(* x (+ 1 (* -1 (/ y x))))
x
(* -1 (* x (- (/ y x) 1)))
(* -1 (* x (- (/ y x) 1)))
(* -1 (* x (- (/ y x) 1)))
x
(+ x (* -1 y))
(+ x (* -1 y))
(+ x (* -1 y))
(* -1 y)
(* y (- (/ x y) 1))
(* y (- (/ x y) 1))
(* y (- (/ x y) 1))
(* -1 y)
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(* -1 (pow y 2))
(+ (* -1 (pow y 2)) (* x (+ y (* -1 y))))
(+ (* -1 (pow y 2)) (* x (+ x (+ y (* -1 y)))))
(+ (* -1 (pow y 2)) (* x (+ x (+ y (* -1 y)))))
(pow x 2)
(* (pow x 2) (+ 1 (+ (* -1 (/ y x)) (/ y x))))
(* (pow x 2) (+ 1 (+ (* -1 (/ y x)) (+ (* -1 (/ (pow y 2) (pow x 2))) (/ y x)))))
(* (pow x 2) (+ 1 (+ (* -1 (/ y x)) (+ (* -1 (/ (pow y 2) (pow x 2))) (/ y x)))))
(pow x 2)
(* (pow x 2) (+ 1 (+ (* -1 (/ y x)) (/ y x))))
(* (pow x 2) (+ 1 (* -1 (/ (+ (* -1 (+ y (* -1 y))) (/ (pow y 2) x)) x))))
(* (pow x 2) (+ 1 (* -1 (/ (+ (* -1 (+ y (* -1 y))) (/ (pow y 2) x)) x))))
(pow x 2)
(+ (* y (+ x (* -1 x))) (pow x 2))
(+ (* y (+ x (+ (* -1 x) (* -1 y)))) (pow x 2))
(+ (* y (+ x (+ (* -1 x) (* -1 y)))) (pow x 2))
(* -1 (pow y 2))
(* (pow y 2) (- (+ (* -1 (/ x y)) (/ x y)) 1))
(* (pow y 2) (- (+ (* -1 (/ x y)) (+ (/ x y) (/ (pow x 2) (pow y 2)))) 1))
(* (pow y 2) (- (+ (* -1 (/ x y)) (+ (/ x y) (/ (pow x 2) (pow y 2)))) 1))
(* -1 (pow y 2))
(* (pow y 2) (- (* -1 (/ (+ x (* -1 x)) y)) 1))
(* (pow y 2) (- (* -1 (/ (+ x (+ (* -1 x) (* -1 (/ (pow x 2) y)))) y)) 1))
(* (pow y 2) (- (* -1 (/ (+ x (+ (* -1 x) (* -1 (/ (pow x 2) y)))) y)) 1))
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 y)
(-.f64 #s(literal 0 binary64) y)
(- x y)
(-.f64 x y)
(- x y)
(-.f64 x y)
(- x y)
(-.f64 x y)
x
(* x (+ 1 (* -1 (/ y x))))
(-.f64 x y)
(* x (+ 1 (* -1 (/ y x))))
(-.f64 x y)
(* x (+ 1 (* -1 (/ y x))))
(-.f64 x y)
x
(* -1 (* x (- (/ y x) 1)))
(-.f64 x y)
(* -1 (* x (- (/ y x) 1)))
(-.f64 x y)
(* -1 (* x (- (/ y x) 1)))
(-.f64 x y)
x
(+ x (* -1 y))
(-.f64 x y)
(+ x (* -1 y))
(-.f64 x y)
(+ x (* -1 y))
(-.f64 x y)
(* -1 y)
(-.f64 #s(literal 0 binary64) y)
(* y (- (/ x y) 1))
(-.f64 x y)
(* y (- (/ x y) 1))
(-.f64 x y)
(* y (- (/ x y) 1))
(-.f64 x y)
(* -1 y)
(-.f64 #s(literal 0 binary64) y)
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(-.f64 x y)
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(-.f64 x y)
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(-.f64 x y)
(* -1 (pow y 2))
(-.f64 #s(literal 0 binary64) (fma.f64 y y #s(literal 0 binary64)))
(+ (* -1 (pow y 2)) (* x (+ y (* -1 y))))
(-.f64 #s(literal 0 binary64) (fma.f64 y y #s(literal 0 binary64)))
(+ (* -1 (pow y 2)) (* x (+ x (+ y (* -1 y)))))
(fma.f64 (+.f64 y x) (-.f64 x y) #s(literal 0 binary64))
(+ (* -1 (pow y 2)) (* x (+ x (+ y (* -1 y)))))
(fma.f64 (+.f64 y x) (-.f64 x y) #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(* (pow x 2) (+ 1 (+ (* -1 (/ y x)) (/ y x))))
(fma.f64 x x #s(literal 0 binary64))
(* (pow x 2) (+ 1 (+ (* -1 (/ y x)) (+ (* -1 (/ (pow y 2) (pow x 2))) (/ y x)))))
(fma.f64 (+.f64 y x) (-.f64 x y) #s(literal 0 binary64))
(* (pow x 2) (+ 1 (+ (* -1 (/ y x)) (+ (* -1 (/ (pow y 2) (pow x 2))) (/ y x)))))
(fma.f64 (+.f64 y x) (-.f64 x y) #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(* (pow x 2) (+ 1 (+ (* -1 (/ y x)) (/ y x))))
(fma.f64 x x #s(literal 0 binary64))
(* (pow x 2) (+ 1 (* -1 (/ (+ (* -1 (+ y (* -1 y))) (/ (pow y 2) x)) x))))
(fma.f64 (+.f64 y x) (-.f64 x y) #s(literal 0 binary64))
(* (pow x 2) (+ 1 (* -1 (/ (+ (* -1 (+ y (* -1 y))) (/ (pow y 2) x)) x))))
(fma.f64 (+.f64 y x) (-.f64 x y) #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(+ (* y (+ x (* -1 x))) (pow x 2))
(fma.f64 x x #s(literal 0 binary64))
(+ (* y (+ x (+ (* -1 x) (* -1 y)))) (pow x 2))
(fma.f64 (+.f64 y x) (-.f64 x y) #s(literal 0 binary64))
(+ (* y (+ x (+ (* -1 x) (* -1 y)))) (pow x 2))
(fma.f64 (+.f64 y x) (-.f64 x y) #s(literal 0 binary64))
(* -1 (pow y 2))
(-.f64 #s(literal 0 binary64) (fma.f64 y y #s(literal 0 binary64)))
(* (pow y 2) (- (+ (* -1 (/ x y)) (/ x y)) 1))
(-.f64 #s(literal 0 binary64) (fma.f64 y y #s(literal 0 binary64)))
(* (pow y 2) (- (+ (* -1 (/ x y)) (+ (/ x y) (/ (pow x 2) (pow y 2)))) 1))
(fma.f64 (+.f64 y x) (-.f64 x y) #s(literal 0 binary64))
(* (pow y 2) (- (+ (* -1 (/ x y)) (+ (/ x y) (/ (pow x 2) (pow y 2)))) 1))
(fma.f64 (+.f64 y x) (-.f64 x y) #s(literal 0 binary64))
(* -1 (pow y 2))
(-.f64 #s(literal 0 binary64) (fma.f64 y y #s(literal 0 binary64)))
(* (pow y 2) (- (* -1 (/ (+ x (* -1 x)) y)) 1))
(-.f64 #s(literal 0 binary64) (fma.f64 y y #s(literal 0 binary64)))
(* (pow y 2) (- (* -1 (/ (+ x (+ (* -1 x) (* -1 (/ (pow x 2) y)))) y)) 1))
(fma.f64 (+.f64 y x) (-.f64 x y) #s(literal 0 binary64))
(* (pow y 2) (- (* -1 (/ (+ x (+ (* -1 x) (* -1 (/ (pow x 2) y)))) y)) 1))
(fma.f64 (+.f64 y x) (-.f64 x y) #s(literal 0 binary64))

eval154.0ms (1.6%)

Memory
-13.3MiB live, 382.9MiB allocated
Compiler

Compiled 43 296 to 2 873 computations (93.4% saved)

prune146.0ms (1.5%)

Memory
5.2MiB live, 359.2MiB allocated
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New1 15941 163
Fresh000
Picked011
Done000
Total1 15951 164
Accuracy
100.0%
Counts
1 164 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
97.3%
(fma.f64 (-.f64 #s(literal 0 binary64) y) y (*.f64 x x))
56.5%
(fma.f64 x x #s(literal 0 binary64))
48.6%
(-.f64 #s(literal 0 binary64) (fma.f64 y y #s(literal 0 binary64)))
100.0%
(*.f64 (+.f64 x y) (-.f64 x y))
57.2%
(*.f64 y (-.f64 x y))
Compiler

Compiled 40 to 24 computations (40% saved)

simplify500.0ms (5.2%)

Memory
3.2MiB live, 712.6MiB allocated
Algorithm
egg-herbie
Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
cost-diff-64
(*.f64 x x)
cost-diff0
(-.f64 #s(literal 0 binary64) y)
cost-diff192
(fma.f64 (-.f64 #s(literal 0 binary64) y) y (*.f64 x x))
cost-diff0
(fma.f64 x x #s(literal 0 binary64))
cost-diff0
(fma.f64 y y #s(literal 0 binary64))
cost-diff0
(-.f64 #s(literal 0 binary64) (fma.f64 y y #s(literal 0 binary64)))
cost-diff-64
(*.f64 y (-.f64 x y))
cost-diff0
(-.f64 x y)
Rules
16 176×accelerator-lowering-fma.f32
16 176×accelerator-lowering-fma.f64
2 984×+-lowering-+.f64
2 984×+-lowering-+.f32
2 960×--lowering--.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01340
12740
25339
39039
414739
525839
644239
775939
8139639
9229339
10311239
11357839
12368439
13373039
14374839
15601039
16671539
17735939
18794039
19794839
20794839
0821039
Stop Event
iter limit
node limit
Calls
Call 1
Inputs
(* y (- x y))
y
(- x y)
x
(- 0 (+ (* y y) 0))
0
(+ (* y y) 0)
y
(+ (* x x) 0)
x
0
(+ (* (- 0 y) y) (* x x))
(- 0 y)
0
y
(* x x)
x
Outputs
(* y (- x y))
(fma.f64 y (-.f64 x y) #s(literal 0 binary64))
y
(- x y)
(-.f64 x y)
x
(- 0 (+ (* y y) 0))
(-.f64 #s(literal 0 binary64) (fma.f64 y y #s(literal 0 binary64)))
0
#s(literal 0 binary64)
(+ (* y y) 0)
(fma.f64 y y #s(literal 0 binary64))
y
(+ (* x x) 0)
(fma.f64 x x #s(literal 0 binary64))
x
0
#s(literal 0 binary64)
(+ (* (- 0 y) y) (* x x))
(fma.f64 (-.f64 x y) (+.f64 y x) #s(literal 0 binary64))
(- 0 y)
(-.f64 #s(literal 0 binary64) y)
0
#s(literal 0 binary64)
y
(* x x)
(fma.f64 x x #s(literal 0 binary64))
x

localize41.0ms (0.4%)

Memory
28.3MiB live, 67.1MiB allocated
Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(-.f64 #s(literal 0 binary64) y)
accuracy100.0%
(*.f64 x x)
accuracy97.3%
(fma.f64 (-.f64 #s(literal 0 binary64) y) y (*.f64 x x))
accuracy100.0%
(fma.f64 x x #s(literal 0 binary64))
accuracy100.0%
(fma.f64 y y #s(literal 0 binary64))
accuracy100.0%
(-.f64 #s(literal 0 binary64) (fma.f64 y y #s(literal 0 binary64)))
accuracy100.0%
(-.f64 x y)
accuracy100.0%
(*.f64 y (-.f64 x y))
Samples
28.0ms256×0valid
Compiler

Compiled 47 to 15 computations (68.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 19.0ms
ival-sub: 9.0ms (48% of total)
ival-mult: 6.0ms (32% of total)
ival-add: 3.0ms (16% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series5.0ms (0%)

Memory
8.7MiB live, 8.7MiB allocated
Counts
8 → 132
Calls
Call 1
Inputs
#<alt (- x y)>
#<alt (* y (- x y))>
#<alt (- 0 (+ (* y y) 0))>
#<alt (+ (* y y) 0)>
#<alt (+ (* x x) 0)>
#<alt (+ (* (- 0 y) y) (* x x))>
#<alt (- 0 y)>
#<alt (* x x)>
Outputs
#<alt (* -1 y)>
#<alt (- x y)>
#<alt (- x y)>
#<alt (- x y)>
#<alt x>
#<alt (* x (+ 1 (* -1 (/ y x))))>
#<alt (* x (+ 1 (* -1 (/ y x))))>
#<alt (* x (+ 1 (* -1 (/ y x))))>
#<alt x>
#<alt (* -1 (* x (- (/ y x) 1)))>
#<alt (* -1 (* x (- (/ y x) 1)))>
#<alt (* -1 (* x (- (/ y x) 1)))>
#<alt x>
#<alt (+ x (* -1 y))>
#<alt (+ x (* -1 y))>
#<alt (+ x (* -1 y))>
#<alt (* -1 y)>
#<alt (* y (- (/ x y) 1))>
#<alt (* y (- (/ x y) 1))>
#<alt (* y (- (/ x y) 1))>
#<alt (* -1 y)>
#<alt (* -1 (* y (+ 1 (* -1 (/ x y)))))>
#<alt (* -1 (* y (+ 1 (* -1 (/ x y)))))>
#<alt (* -1 (* y (+ 1 (* -1 (/ x y)))))>
#<alt (* x y)>
#<alt (* y (+ x (* -1 y)))>
#<alt (* y (+ x (* -1 y)))>
#<alt (* y (+ x (* -1 y)))>
#<alt (* -1 (pow y 2))>
#<alt (* (pow y 2) (- (/ x y) 1))>
#<alt (* (pow y 2) (- (/ x y) 1))>
#<alt (* (pow y 2) (- (/ x y) 1))>
#<alt (* -1 (pow y 2))>
#<alt (* (pow y 2) (- (/ x y) 1))>
#<alt (* (pow y 2) (- (/ x y) 1))>
#<alt (* (pow y 2) (- (/ x y) 1))>
#<alt (* -1 (pow y 2))>
#<alt (+ (* -1 (pow y 2)) (* x y))>
#<alt (+ (* -1 (pow y 2)) (* x y))>
#<alt (+ (* -1 (pow y 2)) (* x y))>
#<alt (* x y)>
#<alt (* x (+ y (* -1 (/ (pow y 2) x))))>
#<alt (* x (+ y (* -1 (/ (pow y 2) x))))>
#<alt (* x (+ y (* -1 (/ (pow y 2) x))))>
#<alt (* x y)>
#<alt (* -1 (* x (+ (* -1 y) (/ (pow y 2) x))))>
#<alt (* -1 (* x (+ (* -1 y) (/ (pow y 2) x))))>
#<alt (* -1 (* x (+ (* -1 y) (/ (pow y 2) x))))>
#<alt (* -1 (pow y 2))>
#<alt (* -1 (pow y 2))>
#<alt (* -1 (pow y 2))>
#<alt (* -1 (pow y 2))>
#<alt (* -1 (pow y 2))>
#<alt (* -1 (pow y 2))>
#<alt (* -1 (pow y 2))>
#<alt (* -1 (pow y 2))>
#<alt (* -1 (pow y 2))>
#<alt (* -1 (pow y 2))>
#<alt (* -1 (pow y 2))>
#<alt (* -1 (pow y 2))>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (+ (* -1 (pow y 2)) (pow x 2))>
#<alt (+ (* -1 (pow y 2)) (pow x 2))>
#<alt (+ (* -1 (pow y 2)) (pow x 2))>
#<alt (* -1 (pow y 2))>
#<alt (* (pow y 2) (- (/ (pow x 2) (pow y 2)) 1))>
#<alt (* (pow y 2) (- (/ (pow x 2) (pow y 2)) 1))>
#<alt (* (pow y 2) (- (/ (pow x 2) (pow y 2)) 1))>
#<alt (* -1 (pow y 2))>
#<alt (* (pow y 2) (- (/ (pow x 2) (pow y 2)) 1))>
#<alt (* (pow y 2) (- (/ (pow x 2) (pow y 2)) 1))>
#<alt (* (pow y 2) (- (/ (pow x 2) (pow y 2)) 1))>
#<alt (* -1 (pow y 2))>
#<alt (+ (* -1 (pow y 2)) (pow x 2))>
#<alt (+ (* -1 (pow y 2)) (pow x 2))>
#<alt (+ (* -1 (pow y 2)) (pow x 2))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (* -1 (/ (pow y 2) (pow x 2)))))>
#<alt (* (pow x 2) (+ 1 (* -1 (/ (pow y 2) (pow x 2)))))>
#<alt (* (pow x 2) (+ 1 (* -1 (/ (pow y 2) (pow x 2)))))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (* -1 (/ (pow y 2) (pow x 2)))))>
#<alt (* (pow x 2) (+ 1 (* -1 (/ (pow y 2) (pow x 2)))))>
#<alt (* (pow x 2) (+ 1 (* -1 (/ (pow y 2) (pow x 2)))))>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
Calls

33 calls:

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

rewrite628.0ms (6.5%)

Memory
-64.2MiB live, 647.2MiB allocated
Algorithm
batch-egg-rewrite
Rules
8 264×accelerator-lowering-fma.f32
8 264×accelerator-lowering-fma.f64
2 572×*-lowering-*.f32
2 572×*-lowering-*.f64
2 016×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01332
19431
293728
01059227
Stop Event
iter limit
node limit
Counts
8 → 1 284
Calls
Call 1
Inputs
(- x y)
(* y (- x y))
(- 0 (+ (* y y) 0))
(+ (* y y) 0)
(+ (* x x) 0)
(+ (* (- 0 y) y) (* x x))
(- 0 y)
(* x x)
Outputs
(+.f64 x y)
(+.f64 y x)
(+.f64 y (-.f64 #s(literal 0 binary64) x))
(+.f64 y (+.f64 #s(literal 0 binary64) x))
(+.f64 #s(literal 0 binary64) (+.f64 x y))
(+.f64 (+.f64 x y) #s(literal 0 binary64))
(+.f64 (/.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 x x (fma.f64 y (+.f64 x y) #s(literal 0 binary64)))) (neg.f64 (/.f64 (fma.f64 y (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 x x (fma.f64 y (+.f64 x y) #s(literal 0 binary64))))))
(+.f64 (/.f64 (fma.f64 x x #s(literal 0 binary64)) (+.f64 x y)) (neg.f64 (/.f64 (fma.f64 y y #s(literal 0 binary64)) (+.f64 x y))))
(+.f64 (-.f64 #s(literal 0 binary64) x) y)
(+.f64 (-.f64 x #s(literal 0 binary64)) y)
(-.f64 x y)
(-.f64 y (-.f64 #s(literal 0 binary64) x))
(-.f64 #s(literal 0 binary64) (+.f64 x y))
(-.f64 #s(literal 0 binary64) (-.f64 y x))
(-.f64 (+.f64 x y) #s(literal 0 binary64))
(-.f64 (+.f64 x y) (/.f64 #s(literal 0 binary64) (+.f64 x y)))
(-.f64 (/.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 x x (fma.f64 y (+.f64 x y) #s(literal 0 binary64)))) (/.f64 (fma.f64 y (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 x x (fma.f64 y (+.f64 x y) #s(literal 0 binary64)))))
(-.f64 (/.f64 (fma.f64 x x #s(literal 0 binary64)) (+.f64 x y)) (/.f64 (fma.f64 y y #s(literal 0 binary64)) (+.f64 x y)))
(-.f64 (/.f64 (/.f64 (fma.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 x x (fma.f64 y y #s(literal 0 binary64)))) (+.f64 x y)) (/.f64 (/.f64 (fma.f64 x (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 x x (fma.f64 y y #s(literal 0 binary64)))) (+.f64 x y)))
(-.f64 (-.f64 x #s(literal 0 binary64)) y)
(fma.f64 y (/.f64 y y) x)
(fma.f64 y (/.f64 y y) (-.f64 #s(literal 0 binary64) x))
(fma.f64 y (/.f64 y y) (+.f64 #s(literal 0 binary64) x))
(fma.f64 y (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal 0 binary64)))) x)
(fma.f64 y (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal 0 binary64)))) (-.f64 #s(literal 0 binary64) x))
(fma.f64 y (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal 0 binary64)))) (+.f64 #s(literal 0 binary64) x))
(fma.f64 y (*.f64 y (/.f64 #s(literal 1 binary64) y)) x)
(fma.f64 y (*.f64 y (/.f64 #s(literal 1 binary64) y)) (-.f64 #s(literal 0 binary64) x))
(fma.f64 y (*.f64 y (/.f64 #s(literal 1 binary64) y)) (+.f64 #s(literal 0 binary64) x))
(fma.f64 (fma.f64 y y #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) y) x)
(fma.f64 (fma.f64 y y #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 0 binary64) x))
(fma.f64 (fma.f64 y y #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) y) (+.f64 #s(literal 0 binary64) x))
(fma.f64 (fma.f64 y y #s(literal 0 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) y)) x)
(fma.f64 (fma.f64 y y #s(literal 0 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) y)) (-.f64 #s(literal 0 binary64) x))
(fma.f64 (fma.f64 y y #s(literal 0 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) y)) (+.f64 #s(literal 0 binary64) x))
(fma.f64 (fma.f64 x x #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x y)) (neg.f64 (/.f64 (fma.f64 y y #s(literal 0 binary64)) (+.f64 x y))))
(fma.f64 (fma.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) (fma.f64 y (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64))) (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) (fma.f64 y (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 0 binary64)) (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (*.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 x x (fma.f64 y y #s(literal 0 binary64)))))) (/.f64 #s(literal 1 binary64) (+.f64 x y))) #s(literal 0 binary64))
(fma.f64 (fma.f64 y (fma.f64 y (fma.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y (fma.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) x)
(fma.f64 (fma.f64 y (fma.f64 y (fma.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y (fma.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) (-.f64 #s(literal 0 binary64) x))
(fma.f64 (fma.f64 y (fma.f64 y (fma.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y (fma.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) (+.f64 #s(literal 0 binary64) x))
(fma.f64 (fma.f64 y (fma.f64 y (fma.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) y)) x)
(fma.f64 (fma.f64 y (fma.f64 y (fma.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) y)) (-.f64 #s(literal 0 binary64) x))
(fma.f64 (fma.f64 y (fma.f64 y (fma.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) y)) (+.f64 #s(literal 0 binary64) x))
(fma.f64 (fma.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) y)) x)
(fma.f64 (fma.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) y)) (-.f64 #s(literal 0 binary64) x))
(fma.f64 (fma.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) y)) (+.f64 #s(literal 0 binary64) x))
(fma.f64 (fma.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64))) x)
(fma.f64 (fma.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64))) (-.f64 #s(literal 0 binary64) x))
(fma.f64 (fma.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64))) (+.f64 #s(literal 0 binary64) x))
(fma.f64 (fma.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) y)) x)
(fma.f64 (fma.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) y)) (-.f64 #s(literal 0 binary64) x))
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(fma.f64 (/.f64 (fma.f64 x (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))) (/.f64 (fma.f64 x x #s(literal 0 binary64)) x) #s(literal 0 binary64))
(fma.f64 (/.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64))) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))
(fma.f64 (/.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))) (/.f64 (fma.f64 x (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) x) #s(literal 0 binary64))
(fma.f64 (/.f64 (fma.f64 x (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) x) (/.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 0 binary64))
(fma.f64 (/.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) x) (/.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 0 binary64))
(fma.f64 (/.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) x) (/.f64 x x) #s(literal 0 binary64))
(fma.f64 (/.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))) (/.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) x) #s(literal 0 binary64))
(fma.f64 (/.f64 x x) (/.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) x) #s(literal 0 binary64))
(fma.f64 (/.f64 x (fma.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) (/.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)))) #s(literal 0 binary64))
(fma.f64 (/.f64 x (fma.f64 x (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) (/.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64)))) #s(literal 0 binary64))
(fma.f64 (/.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) (/.f64 (fma.f64 x x #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)))) #s(literal 0 binary64))
(fma.f64 (/.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)))) #s(literal 0 binary64))
(fma.f64 (/.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 x (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))
(neg.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 0 binary64))))
(/.f64 (fma.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 x (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)))
(/.f64 (fma.f64 x (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)))
(/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) (-.f64 #s(literal 0 binary64) (fma.f64 x (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))))
(/.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64))) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) (-.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 0 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64)))))
(/.f64 (*.f64 (fma.f64 x (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 1 binary64)) (fma.f64 x x #s(literal 0 binary64)))
(/.f64 (-.f64 (*.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) (fma.f64 x x #s(literal 0 binary64))) (*.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 0 binary64))) (-.f64 #s(literal 0 binary64) (fma.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))))
(/.f64 (-.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64))) #s(literal 0 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64))) (fma.f64 x x #s(literal 0 binary64))))
(/.f64 (-.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 0 binary64)) (-.f64 #s(literal 0 binary64) (fma.f64 x (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)))) (neg.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)))) (fma.f64 x x #s(literal 0 binary64)))
(/.f64 (*.f64 (fma.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 1 binary64)) (fma.f64 x (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64))) #s(literal -1 binary64))
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 2 binary64))
(*.f64 x x)
(*.f64 x (*.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64)))))
(*.f64 (fma.f64 x x #s(literal 0 binary64)) (/.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64))))
(*.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 (fma.f64 x (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)))))
(*.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 (fma.f64 x x #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64)))))
(*.f64 (fma.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))))
(*.f64 (fma.f64 x (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64))))
(*.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (*.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)))))
(*.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (*.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64)))))
(*.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 x (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)))))
(*.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64))) (fma.f64 x (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)))
(*.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 0 binary64)))))
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)))
(*.f64 (/.f64 (fma.f64 x x #s(literal 0 binary64)) x) (/.f64 (fma.f64 x x #s(literal 0 binary64)) x))
(*.f64 (/.f64 (fma.f64 x x #s(literal 0 binary64)) x) (/.f64 (fma.f64 x (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))))
(*.f64 (/.f64 (fma.f64 x (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))) (/.f64 (fma.f64 x x #s(literal 0 binary64)) x))
(*.f64 (/.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64))) (fma.f64 x x #s(literal 0 binary64)))
(*.f64 (/.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))) (/.f64 (fma.f64 x (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) x))
(*.f64 (/.f64 (fma.f64 x (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) x) (/.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))))
(*.f64 (/.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) x) (/.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))))
(*.f64 (/.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) x) (/.f64 x x))
(*.f64 (/.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))) (/.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) x))
(*.f64 (/.f64 x x) (/.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) x))
(*.f64 (/.f64 x (fma.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) (/.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)))))
(*.f64 (/.f64 x (fma.f64 x (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) (/.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64)))))
(*.f64 (/.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) (/.f64 (fma.f64 x x #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)))))
(*.f64 (/.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)))))
(*.f64 (/.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 x (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)))

simplify297.0ms (3.1%)

Memory
36.7MiB live, 504.1MiB allocated
Algorithm
egg-herbie
Rules
8 940×accelerator-lowering-fma.f32
8 940×accelerator-lowering-fma.f64
3 520×*-lowering-*.f32
3 520×*-lowering-*.f64
2 038×unsub-neg
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
044519
1132501
2358501
31055501
42194501
54641501
67061501
08282501
Stop Event
iter limit
node limit
Counts
132 → 132
Calls
Call 1
Inputs
(* -1 y)
(- x y)
(- x y)
(- x y)
x
(* x (+ 1 (* -1 (/ y x))))
(* x (+ 1 (* -1 (/ y x))))
(* x (+ 1 (* -1 (/ y x))))
x
(* -1 (* x (- (/ y x) 1)))
(* -1 (* x (- (/ y x) 1)))
(* -1 (* x (- (/ y x) 1)))
x
(+ x (* -1 y))
(+ x (* -1 y))
(+ x (* -1 y))
(* -1 y)
(* y (- (/ x y) 1))
(* y (- (/ x y) 1))
(* y (- (/ x y) 1))
(* -1 y)
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(* x y)
(* y (+ x (* -1 y)))
(* y (+ x (* -1 y)))
(* y (+ x (* -1 y)))
(* -1 (pow y 2))
(* (pow y 2) (- (/ x y) 1))
(* (pow y 2) (- (/ x y) 1))
(* (pow y 2) (- (/ x y) 1))
(* -1 (pow y 2))
(* (pow y 2) (- (/ x y) 1))
(* (pow y 2) (- (/ x y) 1))
(* (pow y 2) (- (/ x y) 1))
(* -1 (pow y 2))
(+ (* -1 (pow y 2)) (* x y))
(+ (* -1 (pow y 2)) (* x y))
(+ (* -1 (pow y 2)) (* x y))
(* x y)
(* x (+ y (* -1 (/ (pow y 2) x))))
(* x (+ y (* -1 (/ (pow y 2) x))))
(* x (+ y (* -1 (/ (pow y 2) x))))
(* x y)
(* -1 (* x (+ (* -1 y) (/ (pow y 2) x))))
(* -1 (* x (+ (* -1 y) (/ (pow y 2) x))))
(* -1 (* x (+ (* -1 y) (/ (pow y 2) x))))
(* -1 (pow y 2))
(* -1 (pow y 2))
(* -1 (pow y 2))
(* -1 (pow y 2))
(* -1 (pow y 2))
(* -1 (pow y 2))
(* -1 (pow y 2))
(* -1 (pow y 2))
(* -1 (pow y 2))
(* -1 (pow y 2))
(* -1 (pow y 2))
(* -1 (pow y 2))
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(+ (* -1 (pow y 2)) (pow x 2))
(+ (* -1 (pow y 2)) (pow x 2))
(+ (* -1 (pow y 2)) (pow x 2))
(* -1 (pow y 2))
(* (pow y 2) (- (/ (pow x 2) (pow y 2)) 1))
(* (pow y 2) (- (/ (pow x 2) (pow y 2)) 1))
(* (pow y 2) (- (/ (pow x 2) (pow y 2)) 1))
(* -1 (pow y 2))
(* (pow y 2) (- (/ (pow x 2) (pow y 2)) 1))
(* (pow y 2) (- (/ (pow x 2) (pow y 2)) 1))
(* (pow y 2) (- (/ (pow x 2) (pow y 2)) 1))
(* -1 (pow y 2))
(+ (* -1 (pow y 2)) (pow x 2))
(+ (* -1 (pow y 2)) (pow x 2))
(+ (* -1 (pow y 2)) (pow x 2))
(pow x 2)
(* (pow x 2) (+ 1 (* -1 (/ (pow y 2) (pow x 2)))))
(* (pow x 2) (+ 1 (* -1 (/ (pow y 2) (pow x 2)))))
(* (pow x 2) (+ 1 (* -1 (/ (pow y 2) (pow x 2)))))
(pow x 2)
(* (pow x 2) (+ 1 (* -1 (/ (pow y 2) (pow x 2)))))
(* (pow x 2) (+ 1 (* -1 (/ (pow y 2) (pow x 2)))))
(* (pow x 2) (+ 1 (* -1 (/ (pow y 2) (pow x 2)))))
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
Outputs
(* -1 y)
(-.f64 #s(literal 0 binary64) y)
(- x y)
(-.f64 x y)
(- x y)
(-.f64 x y)
(- x y)
(-.f64 x y)
x
(* x (+ 1 (* -1 (/ y x))))
(-.f64 x y)
(* x (+ 1 (* -1 (/ y x))))
(-.f64 x y)
(* x (+ 1 (* -1 (/ y x))))
(-.f64 x y)
x
(* -1 (* x (- (/ y x) 1)))
(-.f64 x y)
(* -1 (* x (- (/ y x) 1)))
(-.f64 x y)
(* -1 (* x (- (/ y x) 1)))
(-.f64 x y)
x
(+ x (* -1 y))
(-.f64 x y)
(+ x (* -1 y))
(-.f64 x y)
(+ x (* -1 y))
(-.f64 x y)
(* -1 y)
(-.f64 #s(literal 0 binary64) y)
(* y (- (/ x y) 1))
(-.f64 x y)
(* y (- (/ x y) 1))
(-.f64 x y)
(* y (- (/ x y) 1))
(-.f64 x y)
(* -1 y)
(-.f64 #s(literal 0 binary64) y)
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(-.f64 x y)
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(-.f64 x y)
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(-.f64 x y)
(* x y)
(fma.f64 y x #s(literal 0 binary64))
(* y (+ x (* -1 y)))
(fma.f64 y (-.f64 x y) #s(literal 0 binary64))
(* y (+ x (* -1 y)))
(fma.f64 y (-.f64 x y) #s(literal 0 binary64))
(* y (+ x (* -1 y)))
(fma.f64 y (-.f64 x y) #s(literal 0 binary64))
(* -1 (pow y 2))
(fma.f64 y (-.f64 #s(literal 0 binary64) y) #s(literal 0 binary64))
(* (pow y 2) (- (/ x y) 1))
(fma.f64 y (-.f64 x y) #s(literal 0 binary64))
(* (pow y 2) (- (/ x y) 1))
(fma.f64 y (-.f64 x y) #s(literal 0 binary64))
(* (pow y 2) (- (/ x y) 1))
(fma.f64 y (-.f64 x y) #s(literal 0 binary64))
(* -1 (pow y 2))
(fma.f64 y (-.f64 #s(literal 0 binary64) y) #s(literal 0 binary64))
(* (pow y 2) (- (/ x y) 1))
(fma.f64 y (-.f64 x y) #s(literal 0 binary64))
(* (pow y 2) (- (/ x y) 1))
(fma.f64 y (-.f64 x y) #s(literal 0 binary64))
(* (pow y 2) (- (/ x y) 1))
(fma.f64 y (-.f64 x y) #s(literal 0 binary64))
(* -1 (pow y 2))
(fma.f64 y (-.f64 #s(literal 0 binary64) y) #s(literal 0 binary64))
(+ (* -1 (pow y 2)) (* x y))
(fma.f64 y (-.f64 x y) #s(literal 0 binary64))
(+ (* -1 (pow y 2)) (* x y))
(fma.f64 y (-.f64 x y) #s(literal 0 binary64))
(+ (* -1 (pow y 2)) (* x y))
(fma.f64 y (-.f64 x y) #s(literal 0 binary64))
(* x y)
(fma.f64 y x #s(literal 0 binary64))
(* x (+ y (* -1 (/ (pow y 2) x))))
(fma.f64 y (-.f64 x y) #s(literal 0 binary64))
(* x (+ y (* -1 (/ (pow y 2) x))))
(fma.f64 y (-.f64 x y) #s(literal 0 binary64))
(* x (+ y (* -1 (/ (pow y 2) x))))
(fma.f64 y (-.f64 x y) #s(literal 0 binary64))
(* x y)
(fma.f64 y x #s(literal 0 binary64))
(* -1 (* x (+ (* -1 y) (/ (pow y 2) x))))
(fma.f64 y (-.f64 x y) #s(literal 0 binary64))
(* -1 (* x (+ (* -1 y) (/ (pow y 2) x))))
(fma.f64 y (-.f64 x y) #s(literal 0 binary64))
(* -1 (* x (+ (* -1 y) (/ (pow y 2) x))))
(fma.f64 y (-.f64 x y) #s(literal 0 binary64))
(* -1 (pow y 2))
(fma.f64 y (-.f64 #s(literal 0 binary64) y) #s(literal 0 binary64))
(* -1 (pow y 2))
(fma.f64 y (-.f64 #s(literal 0 binary64) y) #s(literal 0 binary64))
(* -1 (pow y 2))
(fma.f64 y (-.f64 #s(literal 0 binary64) y) #s(literal 0 binary64))
(* -1 (pow y 2))
(fma.f64 y (-.f64 #s(literal 0 binary64) y) #s(literal 0 binary64))
(* -1 (pow y 2))
(fma.f64 y (-.f64 #s(literal 0 binary64) y) #s(literal 0 binary64))
(* -1 (pow y 2))
(fma.f64 y (-.f64 #s(literal 0 binary64) y) #s(literal 0 binary64))
(* -1 (pow y 2))
(fma.f64 y (-.f64 #s(literal 0 binary64) y) #s(literal 0 binary64))
(* -1 (pow y 2))
(fma.f64 y (-.f64 #s(literal 0 binary64) y) #s(literal 0 binary64))
(* -1 (pow y 2))
(fma.f64 y (-.f64 #s(literal 0 binary64) y) #s(literal 0 binary64))
(* -1 (pow y 2))
(fma.f64 y (-.f64 #s(literal 0 binary64) y) #s(literal 0 binary64))
(* -1 (pow y 2))
(fma.f64 y (-.f64 #s(literal 0 binary64) y) #s(literal 0 binary64))
(* -1 (pow y 2))
(fma.f64 y (-.f64 #s(literal 0 binary64) y) #s(literal 0 binary64))
(pow y 2)
(fma.f64 y y #s(literal 0 binary64))
(pow y 2)
(fma.f64 y y #s(literal 0 binary64))
(pow y 2)
(fma.f64 y y #s(literal 0 binary64))
(pow y 2)
(fma.f64 y y #s(literal 0 binary64))
(pow y 2)
(fma.f64 y y #s(literal 0 binary64))
(pow y 2)
(fma.f64 y y #s(literal 0 binary64))
(pow y 2)
(fma.f64 y y #s(literal 0 binary64))
(pow y 2)
(fma.f64 y y #s(literal 0 binary64))
(pow y 2)
(fma.f64 y y #s(literal 0 binary64))
(pow y 2)
(fma.f64 y y #s(literal 0 binary64))
(pow y 2)
(fma.f64 y y #s(literal 0 binary64))
(pow y 2)
(fma.f64 y y #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(+ (* -1 (pow y 2)) (pow x 2))
(fma.f64 (-.f64 x y) (+.f64 y x) #s(literal 0 binary64))
(+ (* -1 (pow y 2)) (pow x 2))
(fma.f64 (-.f64 x y) (+.f64 y x) #s(literal 0 binary64))
(+ (* -1 (pow y 2)) (pow x 2))
(fma.f64 (-.f64 x y) (+.f64 y x) #s(literal 0 binary64))
(* -1 (pow y 2))
(fma.f64 y (-.f64 #s(literal 0 binary64) y) #s(literal 0 binary64))
(* (pow y 2) (- (/ (pow x 2) (pow y 2)) 1))
(fma.f64 (-.f64 x y) (+.f64 y x) #s(literal 0 binary64))
(* (pow y 2) (- (/ (pow x 2) (pow y 2)) 1))
(fma.f64 (-.f64 x y) (+.f64 y x) #s(literal 0 binary64))
(* (pow y 2) (- (/ (pow x 2) (pow y 2)) 1))
(fma.f64 (-.f64 x y) (+.f64 y x) #s(literal 0 binary64))
(* -1 (pow y 2))
(fma.f64 y (-.f64 #s(literal 0 binary64) y) #s(literal 0 binary64))
(* (pow y 2) (- (/ (pow x 2) (pow y 2)) 1))
(fma.f64 (-.f64 x y) (+.f64 y x) #s(literal 0 binary64))
(* (pow y 2) (- (/ (pow x 2) (pow y 2)) 1))
(fma.f64 (-.f64 x y) (+.f64 y x) #s(literal 0 binary64))
(* (pow y 2) (- (/ (pow x 2) (pow y 2)) 1))
(fma.f64 (-.f64 x y) (+.f64 y x) #s(literal 0 binary64))
(* -1 (pow y 2))
(fma.f64 y (-.f64 #s(literal 0 binary64) y) #s(literal 0 binary64))
(+ (* -1 (pow y 2)) (pow x 2))
(fma.f64 (-.f64 x y) (+.f64 y x) #s(literal 0 binary64))
(+ (* -1 (pow y 2)) (pow x 2))
(fma.f64 (-.f64 x y) (+.f64 y x) #s(literal 0 binary64))
(+ (* -1 (pow y 2)) (pow x 2))
(fma.f64 (-.f64 x y) (+.f64 y x) #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(* (pow x 2) (+ 1 (* -1 (/ (pow y 2) (pow x 2)))))
(fma.f64 (-.f64 x y) (+.f64 y x) #s(literal 0 binary64))
(* (pow x 2) (+ 1 (* -1 (/ (pow y 2) (pow x 2)))))
(fma.f64 (-.f64 x y) (+.f64 y x) #s(literal 0 binary64))
(* (pow x 2) (+ 1 (* -1 (/ (pow y 2) (pow x 2)))))
(fma.f64 (-.f64 x y) (+.f64 y x) #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(* (pow x 2) (+ 1 (* -1 (/ (pow y 2) (pow x 2)))))
(fma.f64 (-.f64 x y) (+.f64 y x) #s(literal 0 binary64))
(* (pow x 2) (+ 1 (* -1 (/ (pow y 2) (pow x 2)))))
(fma.f64 (-.f64 x y) (+.f64 y x) #s(literal 0 binary64))
(* (pow x 2) (+ 1 (* -1 (/ (pow y 2) (pow x 2)))))
(fma.f64 (-.f64 x y) (+.f64 y x) #s(literal 0 binary64))
(* -1 y)
(-.f64 #s(literal 0 binary64) y)
(* -1 y)
(-.f64 #s(literal 0 binary64) y)
(* -1 y)
(-.f64 #s(literal 0 binary64) y)
(* -1 y)
(-.f64 #s(literal 0 binary64) y)
(* -1 y)
(-.f64 #s(literal 0 binary64) y)
(* -1 y)
(-.f64 #s(literal 0 binary64) y)
(* -1 y)
(-.f64 #s(literal 0 binary64) y)
(* -1 y)
(-.f64 #s(literal 0 binary64) y)
(* -1 y)
(-.f64 #s(literal 0 binary64) y)
(* -1 y)
(-.f64 #s(literal 0 binary64) y)
(* -1 y)
(-.f64 #s(literal 0 binary64) y)
(* -1 y)
(-.f64 #s(literal 0 binary64) y)
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))

eval382.0ms (4%)

Memory
1.0MiB live, 350.4MiB allocated
Compiler

Compiled 35 762 to 2 085 computations (94.2% saved)

prune195.0ms (2%)

Memory
9.7MiB live, 537.9MiB allocated
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New1 41331 416
Fresh000
Picked404
Done011
Total1 41741 421
Accuracy
100.0%
Counts
1 421 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
97.3%
(fma.f64 (neg.f64 y) y (*.f64 x x))
48.6%
(-.f64 #s(literal 0 binary64) (*.f64 y y))
100.0%
(*.f64 (+.f64 x y) (-.f64 x y))
56.5%
(*.f64 x x)
Compiler

Compiled 30 to 18 computations (40% saved)

simplify515.0ms (5.3%)

Memory
14.0MiB live, 602.8MiB allocated
Algorithm
egg-herbie
Localize:

Found 6 expressions of interest:

NewMetricScoreProgram
cost-diff-64
(*.f64 x x)
cost-diff-64
(neg.f64 y)
cost-diff192
(fma.f64 (neg.f64 y) y (*.f64 x x))
cost-diff-64
(*.f64 y y)
cost-diff0
(-.f64 #s(literal 0 binary64) (*.f64 y y))
cost-diff-64
(*.f64 x x)
Rules
16 176×accelerator-lowering-fma.f32
16 176×accelerator-lowering-fma.f64
2 952×--lowering--.f32
2 952×--lowering--.f64
2 460×+-lowering-+.f64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0928
11727
23027
35627
48827
517727
657527
7101427
8177327
9269127
10349427
11396027
12406527
13411127
14412927
15639127
16709627
17774027
0801127
Stop Event
iter limit
node limit
Calls
Call 1
Inputs
(* x x)
x
(- 0 (* y y))
0
(* y y)
y
(+ (* (neg y) y) (* x x))
(neg y)
y
(* x x)
x
Outputs
(* x x)
(fma.f64 x x #s(literal 0 binary64))
x
(- 0 (* y y))
(fma.f64 y (-.f64 #s(literal 0 binary64) y) #s(literal 0 binary64))
0
#s(literal 0 binary64)
(* y y)
(fma.f64 y y #s(literal 0 binary64))
y
(+ (* (neg y) y) (* x x))
(fma.f64 (-.f64 x y) (+.f64 x y) #s(literal 0 binary64))
(neg y)
(-.f64 #s(literal 0 binary64) y)
y
(* x x)
(fma.f64 x x #s(literal 0 binary64))
x

localize27.0ms (0.3%)

Memory
-14.8MiB live, 63.0MiB allocated
Localize:

Found 6 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(*.f64 x x)
accuracy100.0%
(neg.f64 y)
accuracy97.3%
(fma.f64 (neg.f64 y) y (*.f64 x x))
accuracy100.0%
(-.f64 #s(literal 0 binary64) (*.f64 y y))
accuracy100.0%
(*.f64 y y)
accuracy100.0%
(*.f64 x x)
Samples
16.0ms256×0valid
Compiler

Compiled 30 to 11 computations (63.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 8.0ms
ival-mult: 5.0ms (59.2% of total)
ival-sub: 1.0ms (11.8% of total)
ival-add: 1.0ms (11.8% of total)
ival-neg: 1.0ms (11.8% 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
1.8MiB live, 1.8MiB allocated
Counts
5 → 72
Calls
Call 1
Inputs
#<alt (* x x)>
#<alt (- 0 (* y y))>
#<alt (* y y)>
#<alt (+ (* (neg y) y) (* x x))>
#<alt (neg y)>
Outputs
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (* -1 (pow y 2))>
#<alt (* -1 (pow y 2))>
#<alt (* -1 (pow y 2))>
#<alt (* -1 (pow y 2))>
#<alt (* -1 (pow y 2))>
#<alt (* -1 (pow y 2))>
#<alt (* -1 (pow y 2))>
#<alt (* -1 (pow y 2))>
#<alt (* -1 (pow y 2))>
#<alt (* -1 (pow y 2))>
#<alt (* -1 (pow y 2))>
#<alt (* -1 (pow y 2))>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow x 2)>
#<alt (+ (* -1 (pow y 2)) (pow x 2))>
#<alt (+ (* -1 (pow y 2)) (pow x 2))>
#<alt (+ (* -1 (pow y 2)) (pow x 2))>
#<alt (* -1 (pow y 2))>
#<alt (* (pow y 2) (- (/ (pow x 2) (pow y 2)) 1))>
#<alt (* (pow y 2) (- (/ (pow x 2) (pow y 2)) 1))>
#<alt (* (pow y 2) (- (/ (pow x 2) (pow y 2)) 1))>
#<alt (* -1 (pow y 2))>
#<alt (* (pow y 2) (- (/ (pow x 2) (pow y 2)) 1))>
#<alt (* (pow y 2) (- (/ (pow x 2) (pow y 2)) 1))>
#<alt (* (pow y 2) (- (/ (pow x 2) (pow y 2)) 1))>
#<alt (* -1 (pow y 2))>
#<alt (+ (* -1 (pow y 2)) (pow x 2))>
#<alt (+ (* -1 (pow y 2)) (pow x 2))>
#<alt (+ (* -1 (pow y 2)) (pow x 2))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (* -1 (/ (pow y 2) (pow x 2)))))>
#<alt (* (pow x 2) (+ 1 (* -1 (/ (pow y 2) (pow x 2)))))>
#<alt (* (pow x 2) (+ 1 (* -1 (/ (pow y 2) (pow x 2)))))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (* -1 (/ (pow y 2) (pow x 2)))))>
#<alt (* (pow x 2) (+ 1 (* -1 (/ (pow y 2) (pow x 2)))))>
#<alt (* (pow x 2) (+ 1 (* -1 (/ (pow y 2) (pow x 2)))))>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
Calls

18 calls:

TimeVariablePointExpression
0.0ms
y
@inf
(+ (* (neg y) y) (* x x))
0.0ms
y
@-inf
(+ (* (neg y) y) (* x x))
0.0ms
x
@0
(* x x)
0.0ms
y
@0
(- 0 (* y y))
0.0ms
y
@inf
(- 0 (* y y))

rewrite193.0ms (2%)

Memory
7.3MiB live, 240.5MiB allocated
Algorithm
batch-egg-rewrite
Rules
2 428×accelerator-lowering-fma.f32
2 428×accelerator-lowering-fma.f64
1 842×*-lowering-*.f32
1 842×*-lowering-*.f64
1 366×frac-times
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0921
14520
241417
3664517
0819916
Stop Event
iter limit
node limit
Counts
5 → 290
Calls
Call 1
Inputs
(* x x)
(- 0 (* y y))
(* y y)
(+ (* (neg y) y) (* x x))
(neg y)
Outputs
(+.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))
(+.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 0 binary64)))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)))
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (exp.f64 (log.f64 x))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 x) #s(literal 1 binary64)) #s(literal 2 binary64)))
(fma.f64 x x #s(literal 0 binary64))
(fma.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)) #s(literal 0 binary64))
(/.f64 (fma.f64 (*.f64 x (fma.f64 x x #s(literal 0 binary64))) (*.f64 x (fma.f64 x x #s(literal 0 binary64))) #s(literal 0 binary64)) (fma.f64 x (*.f64 x (fma.f64 x x #s(literal 0 binary64))) (-.f64 #s(literal 0 binary64) (*.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)))))
(/.f64 (-.f64 (*.f64 x (*.f64 x (fma.f64 x x #s(literal 0 binary64)))) #s(literal 0 binary64)) (-.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1 binary64))
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 2 binary64))
(*.f64 x x)
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)))
(+.f64 #s(literal 0 binary64) (fma.f64 y y #s(literal 0 binary64)))
(+.f64 (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64))
(exp.f64 (fma.f64 #s(literal 2 binary64) (log.f64 y) #s(literal 0 binary64)))
(exp.f64 (*.f64 (fma.f64 #s(literal 2 binary64) (log.f64 y) #s(literal 0 binary64)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (fma.f64 #s(literal -2 binary64) (log.f64 y) #s(literal 0 binary64)) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (exp.f64 (log.f64 y))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 y) #s(literal 1 binary64)) #s(literal 2 binary64)))
(-.f64 #s(literal 0 binary64) (fma.f64 y y #s(literal 0 binary64)))
(-.f64 (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64))
(fma.f64 y y #s(literal 0 binary64))
(fma.f64 (fma.f64 y y #s(literal 0 binary64)) #s(literal -1 binary64) #s(literal 0 binary64))
(fma.f64 (fma.f64 y y #s(literal 0 binary64)) #s(literal 1 binary64) #s(literal 0 binary64))
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(*.f64 (*.f64 (fma.f64 x x (fma.f64 y y #s(literal 0 binary64))) (fma.f64 x x (fma.f64 y y #s(literal 0 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 x x (fma.f64 y y #s(literal 0 binary64)))))
(*.f64 (+.f64 x y) (-.f64 x y))
(*.f64 (/.f64 (*.f64 (fma.f64 x x (fma.f64 y y #s(literal 0 binary64))) (fma.f64 (+.f64 y x) (-.f64 y x) #s(literal 0 binary64))) (*.f64 (fma.f64 x x (fma.f64 y y #s(literal 0 binary64))) (fma.f64 (+.f64 y x) (-.f64 y x) #s(literal 0 binary64)))) (fma.f64 x x (fma.f64 y y #s(literal 0 binary64))))
(*.f64 (/.f64 (*.f64 (fma.f64 x x (fma.f64 y y #s(literal 0 binary64))) (fma.f64 (+.f64 y x) (-.f64 y x) #s(literal 0 binary64))) (*.f64 (fma.f64 y (fma.f64 y y #s(literal 0 binary64)) (*.f64 x (fma.f64 x x #s(literal 0 binary64)))) (-.f64 (fma.f64 y (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)) (*.f64 x (fma.f64 x x #s(literal 0 binary64)))))) (fma.f64 x (*.f64 x (fma.f64 x x (fma.f64 y y #s(literal 0 binary64)))) (fma.f64 y (fma.f64 y (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))))
(*.f64 (/.f64 (fma.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 y (fma.f64 y (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (*.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 x (*.f64 x (fma.f64 x x #s(literal 0 binary64)))))) (fma.f64 (*.f64 x (*.f64 x (fma.f64 x x (fma.f64 y y #s(literal 0 binary64))))) (*.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 (fma.f64 x x (fma.f64 y y #s(literal 0 binary64))) (*.f64 x (*.f64 x (fma.f64 x x (fma.f64 y y #s(literal 0 binary64))))))) (fma.f64 (fma.f64 y (fma.f64 y (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 y (fma.f64 y (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)))) (fma.f64 (*.f64 x (*.f64 x (fma.f64 x x (fma.f64 y y #s(literal 0 binary64))))) (fma.f64 x (*.f64 x (fma.f64 x x (fma.f64 y y #s(literal 0 binary64)))) (fma.f64 y (fma.f64 y (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) (fma.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 y (fma.f64 y (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))))
(*.f64 (/.f64 (fma.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 y (fma.f64 y (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (*.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 x (*.f64 x (fma.f64 x x #s(literal 0 binary64)))))) (*.f64 (fma.f64 x (*.f64 x (fma.f64 x x (fma.f64 y y #s(literal 0 binary64)))) (fma.f64 y (fma.f64 y (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) (-.f64 (fma.f64 y (fma.f64 y (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (*.f64 x (*.f64 x (fma.f64 x x (fma.f64 y y #s(literal 0 binary64)))))))) (-.f64 (fma.f64 y (fma.f64 y (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (*.f64 x (*.f64 x (fma.f64 x x (fma.f64 y y #s(literal 0 binary64)))))))
y
(+.f64 #s(literal 0 binary64) y)
(+.f64 y #s(literal 0 binary64))
(exp.f64 (*.f64 (log.f64 y) #s(literal 1 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 y) #s(literal 1 binary64)) #s(literal 1 binary64)))
(-.f64 #s(literal 0 binary64) y)
(-.f64 (/.f64 #s(literal 0 binary64) y) y)
(fma.f64 y #s(literal -1 binary64) #s(literal 0 binary64))
(fma.f64 y #s(literal 1 binary64) #s(literal 0 binary64))
(fma.f64 (fma.f64 y y #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) y) #s(literal 0 binary64))
(fma.f64 (fma.f64 y (fma.f64 y (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 0 binary64))
(fma.f64 (fma.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 y (fma.f64 y (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (/.f64 y (fma.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 y (fma.f64 y (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 0 binary64))
(fma.f64 #s(literal -1 binary64) y #s(literal 0 binary64))
(fma.f64 (fma.f64 y (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 y y #s(literal 0 binary64))) #s(literal 0 binary64))
(fma.f64 (pow.f64 y #s(literal 1/2 binary64)) (pow.f64 y #s(literal 1/2 binary64)) #s(literal 0 binary64))
(neg.f64 y)
(/.f64 (fma.f64 y y #s(literal 0 binary64)) y)
(/.f64 (fma.f64 y (fma.f64 y (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 y (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)))
(/.f64 (fma.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 y (fma.f64 y (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (*.f64 y (fma.f64 y (fma.f64 y (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))))
(/.f64 (fma.f64 y (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 y y #s(literal 0 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y))
(pow.f64 y #s(literal 1 binary64))
(pow.f64 (fma.f64 y y #s(literal 0 binary64)) #s(literal 1/2 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64))
(pow.f64 (pow.f64 y #s(literal 1/2 binary64)) #s(literal 2 binary64))
(*.f64 y #s(literal -1 binary64))
(*.f64 y #s(literal 1 binary64))
(*.f64 (fma.f64 y y #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) y))
(*.f64 (fma.f64 y (fma.f64 y (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64))))
(*.f64 (fma.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 y (fma.f64 y (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (/.f64 y (fma.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 y (fma.f64 y (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))))
(*.f64 #s(literal -1 binary64) y)
(*.f64 (fma.f64 y (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 y y #s(literal 0 binary64))))
(*.f64 (pow.f64 y #s(literal 1/2 binary64)) (pow.f64 y #s(literal 1/2 binary64)))

simplify324.0ms (3.4%)

Memory
-38.5MiB live, 510.9MiB allocated
Algorithm
egg-herbie
Rules
9 736×accelerator-lowering-fma.f32
9 736×accelerator-lowering-fma.f64
3 598×*-lowering-*.f32
3 598×*-lowering-*.f64
1 100×neg-lowering-neg.f64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
017309
140291
2107291
3437291
41643291
52768291
64760291
08211291
Stop Event
iter limit
node limit
Counts
72 → 72
Calls
Call 1
Inputs
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(* -1 (pow y 2))
(* -1 (pow y 2))
(* -1 (pow y 2))
(* -1 (pow y 2))
(* -1 (pow y 2))
(* -1 (pow y 2))
(* -1 (pow y 2))
(* -1 (pow y 2))
(* -1 (pow y 2))
(* -1 (pow y 2))
(* -1 (pow y 2))
(* -1 (pow y 2))
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow x 2)
(+ (* -1 (pow y 2)) (pow x 2))
(+ (* -1 (pow y 2)) (pow x 2))
(+ (* -1 (pow y 2)) (pow x 2))
(* -1 (pow y 2))
(* (pow y 2) (- (/ (pow x 2) (pow y 2)) 1))
(* (pow y 2) (- (/ (pow x 2) (pow y 2)) 1))
(* (pow y 2) (- (/ (pow x 2) (pow y 2)) 1))
(* -1 (pow y 2))
(* (pow y 2) (- (/ (pow x 2) (pow y 2)) 1))
(* (pow y 2) (- (/ (pow x 2) (pow y 2)) 1))
(* (pow y 2) (- (/ (pow x 2) (pow y 2)) 1))
(* -1 (pow y 2))
(+ (* -1 (pow y 2)) (pow x 2))
(+ (* -1 (pow y 2)) (pow x 2))
(+ (* -1 (pow y 2)) (pow x 2))
(pow x 2)
(* (pow x 2) (+ 1 (* -1 (/ (pow y 2) (pow x 2)))))
(* (pow x 2) (+ 1 (* -1 (/ (pow y 2) (pow x 2)))))
(* (pow x 2) (+ 1 (* -1 (/ (pow y 2) (pow x 2)))))
(pow x 2)
(* (pow x 2) (+ 1 (* -1 (/ (pow y 2) (pow x 2)))))
(* (pow x 2) (+ 1 (* -1 (/ (pow y 2) (pow x 2)))))
(* (pow x 2) (+ 1 (* -1 (/ (pow y 2) (pow x 2)))))
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
Outputs
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(* -1 (pow y 2))
(-.f64 #s(literal 0 binary64) (fma.f64 y y #s(literal 0 binary64)))
(* -1 (pow y 2))
(-.f64 #s(literal 0 binary64) (fma.f64 y y #s(literal 0 binary64)))
(* -1 (pow y 2))
(-.f64 #s(literal 0 binary64) (fma.f64 y y #s(literal 0 binary64)))
(* -1 (pow y 2))
(-.f64 #s(literal 0 binary64) (fma.f64 y y #s(literal 0 binary64)))
(* -1 (pow y 2))
(-.f64 #s(literal 0 binary64) (fma.f64 y y #s(literal 0 binary64)))
(* -1 (pow y 2))
(-.f64 #s(literal 0 binary64) (fma.f64 y y #s(literal 0 binary64)))
(* -1 (pow y 2))
(-.f64 #s(literal 0 binary64) (fma.f64 y y #s(literal 0 binary64)))
(* -1 (pow y 2))
(-.f64 #s(literal 0 binary64) (fma.f64 y y #s(literal 0 binary64)))
(* -1 (pow y 2))
(-.f64 #s(literal 0 binary64) (fma.f64 y y #s(literal 0 binary64)))
(* -1 (pow y 2))
(-.f64 #s(literal 0 binary64) (fma.f64 y y #s(literal 0 binary64)))
(* -1 (pow y 2))
(-.f64 #s(literal 0 binary64) (fma.f64 y y #s(literal 0 binary64)))
(* -1 (pow y 2))
(-.f64 #s(literal 0 binary64) (fma.f64 y y #s(literal 0 binary64)))
(pow y 2)
(fma.f64 y y #s(literal 0 binary64))
(pow y 2)
(fma.f64 y y #s(literal 0 binary64))
(pow y 2)
(fma.f64 y y #s(literal 0 binary64))
(pow y 2)
(fma.f64 y y #s(literal 0 binary64))
(pow y 2)
(fma.f64 y y #s(literal 0 binary64))
(pow y 2)
(fma.f64 y y #s(literal 0 binary64))
(pow y 2)
(fma.f64 y y #s(literal 0 binary64))
(pow y 2)
(fma.f64 y y #s(literal 0 binary64))
(pow y 2)
(fma.f64 y y #s(literal 0 binary64))
(pow y 2)
(fma.f64 y y #s(literal 0 binary64))
(pow y 2)
(fma.f64 y y #s(literal 0 binary64))
(pow y 2)
(fma.f64 y y #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(+ (* -1 (pow y 2)) (pow x 2))
(fma.f64 (+.f64 x y) (-.f64 x y) #s(literal 0 binary64))
(+ (* -1 (pow y 2)) (pow x 2))
(fma.f64 (+.f64 x y) (-.f64 x y) #s(literal 0 binary64))
(+ (* -1 (pow y 2)) (pow x 2))
(fma.f64 (+.f64 x y) (-.f64 x y) #s(literal 0 binary64))
(* -1 (pow y 2))
(-.f64 #s(literal 0 binary64) (fma.f64 y y #s(literal 0 binary64)))
(* (pow y 2) (- (/ (pow x 2) (pow y 2)) 1))
(fma.f64 (+.f64 x y) (-.f64 x y) #s(literal 0 binary64))
(* (pow y 2) (- (/ (pow x 2) (pow y 2)) 1))
(fma.f64 (+.f64 x y) (-.f64 x y) #s(literal 0 binary64))
(* (pow y 2) (- (/ (pow x 2) (pow y 2)) 1))
(fma.f64 (+.f64 x y) (-.f64 x y) #s(literal 0 binary64))
(* -1 (pow y 2))
(-.f64 #s(literal 0 binary64) (fma.f64 y y #s(literal 0 binary64)))
(* (pow y 2) (- (/ (pow x 2) (pow y 2)) 1))
(fma.f64 (+.f64 x y) (-.f64 x y) #s(literal 0 binary64))
(* (pow y 2) (- (/ (pow x 2) (pow y 2)) 1))
(fma.f64 (+.f64 x y) (-.f64 x y) #s(literal 0 binary64))
(* (pow y 2) (- (/ (pow x 2) (pow y 2)) 1))
(fma.f64 (+.f64 x y) (-.f64 x y) #s(literal 0 binary64))
(* -1 (pow y 2))
(-.f64 #s(literal 0 binary64) (fma.f64 y y #s(literal 0 binary64)))
(+ (* -1 (pow y 2)) (pow x 2))
(fma.f64 (+.f64 x y) (-.f64 x y) #s(literal 0 binary64))
(+ (* -1 (pow y 2)) (pow x 2))
(fma.f64 (+.f64 x y) (-.f64 x y) #s(literal 0 binary64))
(+ (* -1 (pow y 2)) (pow x 2))
(fma.f64 (+.f64 x y) (-.f64 x y) #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(* (pow x 2) (+ 1 (* -1 (/ (pow y 2) (pow x 2)))))
(fma.f64 (+.f64 x y) (-.f64 x y) #s(literal 0 binary64))
(* (pow x 2) (+ 1 (* -1 (/ (pow y 2) (pow x 2)))))
(fma.f64 (+.f64 x y) (-.f64 x y) #s(literal 0 binary64))
(* (pow x 2) (+ 1 (* -1 (/ (pow y 2) (pow x 2)))))
(fma.f64 (+.f64 x y) (-.f64 x y) #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(* (pow x 2) (+ 1 (* -1 (/ (pow y 2) (pow x 2)))))
(fma.f64 (+.f64 x y) (-.f64 x y) #s(literal 0 binary64))
(* (pow x 2) (+ 1 (* -1 (/ (pow y 2) (pow x 2)))))
(fma.f64 (+.f64 x y) (-.f64 x y) #s(literal 0 binary64))
(* (pow x 2) (+ 1 (* -1 (/ (pow y 2) (pow x 2)))))
(fma.f64 (+.f64 x y) (-.f64 x y) #s(literal 0 binary64))
(* -1 y)
(-.f64 #s(literal 0 binary64) y)
(* -1 y)
(-.f64 #s(literal 0 binary64) y)
(* -1 y)
(-.f64 #s(literal 0 binary64) y)
(* -1 y)
(-.f64 #s(literal 0 binary64) y)
(* -1 y)
(-.f64 #s(literal 0 binary64) y)
(* -1 y)
(-.f64 #s(literal 0 binary64) y)
(* -1 y)
(-.f64 #s(literal 0 binary64) y)
(* -1 y)
(-.f64 #s(literal 0 binary64) y)
(* -1 y)
(-.f64 #s(literal 0 binary64) y)
(* -1 y)
(-.f64 #s(literal 0 binary64) y)
(* -1 y)
(-.f64 #s(literal 0 binary64) y)
(* -1 y)
(-.f64 #s(literal 0 binary64) y)

eval43.0ms (0.4%)

Memory
14.4MiB live, 91.7MiB allocated
Compiler

Compiled 9 186 to 496 computations (94.6% saved)

prune43.0ms (0.4%)

Memory
17.6MiB live, 93.1MiB allocated
Pruning

4 alts after pruning (0 fresh and 4 done)

PrunedKeptTotal
New3890389
Fresh000
Picked033
Done011
Total3894393
Accuracy
100.0%
Counts
393 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
97.3%
(fma.f64 (neg.f64 y) y (*.f64 x x))
48.6%
(-.f64 #s(literal 0 binary64) (*.f64 y y))
100.0%
(*.f64 (+.f64 x y) (-.f64 x y))
56.5%
(*.f64 x x)
Compiler

Compiled 77 to 35 computations (54.5% saved)

regimes30.0ms (0.3%)

Memory
-19.2MiB live, 20.5MiB allocated
Counts
8 → 1
Calls
Call 1
Inputs
(*.f64 x x)
(fma.f64 x x #s(literal 0 binary64))
(*.f64 y (-.f64 x y))
(-.f64 #s(literal 0 binary64) (*.f64 y y))
(-.f64 #s(literal 0 binary64) (fma.f64 y y #s(literal 0 binary64)))
(*.f64 (+.f64 x y) (-.f64 x y))
(fma.f64 (neg.f64 y) y (*.f64 x x))
(fma.f64 (-.f64 #s(literal 0 binary64) y) y (*.f64 x x))
Outputs
(*.f64 (+.f64 x y) (-.f64 x y))
Calls

3 calls:

24.0ms
(*.f64 (+.f64 x y) (-.f64 x y))
3.0ms
y
3.0ms
x
Results
AccuracySegmentsBranch
100.0%1x
100.0%1y
100.0%1(*.f64 (+.f64 x y) (-.f64 x y))
Compiler

Compiled 15 to 9 computations (40% saved)

regimes7.0ms (0.1%)

Memory
14.0MiB live, 14.0MiB allocated
Counts
5 → 2
Calls
Call 1
Inputs
(*.f64 x x)
(fma.f64 x x #s(literal 0 binary64))
(*.f64 y (-.f64 x y))
(-.f64 #s(literal 0 binary64) (*.f64 y y))
(-.f64 #s(literal 0 binary64) (fma.f64 y y #s(literal 0 binary64)))
Outputs
(-.f64 #s(literal 0 binary64) (*.f64 y y))
(*.f64 x x)
Calls

3 calls:

2.0ms
y
2.0ms
x
2.0ms
(*.f64 (+.f64 x y) (-.f64 x y))
Results
AccuracySegmentsBranch
75.0%2x
87.0%2y
99.3%2(*.f64 (+.f64 x y) (-.f64 x y))
Compiler

Compiled 15 to 9 computations (40% saved)

regimes2.0ms (0%)

Memory
4.1MiB live, 4.2MiB allocated
Counts
3 → 2
Calls
Call 1
Inputs
(*.f64 x x)
(fma.f64 x x #s(literal 0 binary64))
(*.f64 y (-.f64 x y))
Outputs
(*.f64 y (-.f64 x y))
(*.f64 x x)
Calls

1 calls:

2.0ms
(*.f64 (+.f64 x y) (-.f64 x y))
Results
AccuracySegmentsBranch
99.1%2(*.f64 (+.f64 x y) (-.f64 x y))
Compiler

Compiled 9 to 5 computations (44.4% saved)

regimes38.0ms (0.4%)

Memory
-33.9MiB live, 10.0MiB allocated
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts
2 → 1
Calls
Call 1
Inputs
(*.f64 x x)
(fma.f64 x x #s(literal 0 binary64))
Outputs
(*.f64 x x)
Calls

3 calls:

35.0ms
y
1.0ms
x
1.0ms
(*.f64 (+.f64 x y) (-.f64 x y))
Results
AccuracySegmentsBranch
56.5%1x
56.5%1y
56.5%1(*.f64 (+.f64 x y) (-.f64 x y))
Compiler

Compiled 15 to 9 computations (40% saved)

bsearch0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-6.111887689297518e-300
-0.0
Compiler

Compiled 12 to 10 computations (16.7% saved)

bsearch0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-6.111887689297518e-300
-0.0
Compiler

Compiled 12 to 10 computations (16.7% saved)

simplify8.0ms (0.1%)

Memory
13.9MiB live, 13.9MiB allocated
Algorithm
egg-herbie
Rules
*-commutative_binary64
+-commutative_binary64
sub-neg_binary64
neg-mul-1_binary64
sub0-neg_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01445
12445
23145
33445
43545
Stop Event
saturated
Calls
Call 1
Inputs
(*.f64 (+.f64 x y) (-.f64 x y))
(if (<=.f64 (*.f64 (+.f64 x y) (-.f64 x y)) #s(literal -7540071506325551/1508014301265110212210531135789433919262563062937126445449153766240405586123431823342743394534566435927056356253600209291203385124994765794776479899441737755548338772926974008712671009764769795099197087276523896072521861519103442867235119310387667688286379400732806098106007386857498456032472308789536403591243235328 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 y y)) (*.f64 x x))
(if (<=.f64 (*.f64 (+.f64 x y) (-.f64 x y)) #s(literal -7540071506325551/1508014301265110212210531135789433919262563062937126445449153766240405586123431823342743394534566435927056356253600209291203385124994765794776479899441737755548338772926974008712671009764769795099197087276523896072521861519103442867235119310387667688286379400732806098106007386857498456032472308789536403591243235328 binary64)) (*.f64 y (-.f64 x y)) (*.f64 x x))
(*.f64 x x)
Outputs
(*.f64 (+.f64 x y) (-.f64 x y))
(if (<=.f64 (*.f64 (+.f64 x y) (-.f64 x y)) #s(literal -7540071506325551/1508014301265110212210531135789433919262563062937126445449153766240405586123431823342743394534566435927056356253600209291203385124994765794776479899441737755548338772926974008712671009764769795099197087276523896072521861519103442867235119310387667688286379400732806098106007386857498456032472308789536403591243235328 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 y y)) (*.f64 x x))
(if (<=.f64 (*.f64 (+.f64 x y) (-.f64 x y)) #s(literal -7540071506325551/1508014301265110212210531135789433919262563062937126445449153766240405586123431823342743394534566435927056356253600209291203385124994765794776479899441737755548338772926974008712671009764769795099197087276523896072521861519103442867235119310387667688286379400732806098106007386857498456032472308789536403591243235328 binary64)) (*.f64 y (-.f64 x y)) (*.f64 x x))
(*.f64 x x)

soundness834.0ms (8.6%)

Memory
-16.2MiB live, 268.0MiB allocated
Rules
14 152×accelerator-lowering-fma.f32
14 152×accelerator-lowering-fma.f64
8 264×accelerator-lowering-fma.f32
8 264×accelerator-lowering-fma.f64
2 614×--lowering--.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
086309
1265249
2789249
33286249
08553249
01332
19431
293728
01059227
Stop Event
done
iter limit
node limit
iter limit
node limit
Compiler

Compiled 103 to 49 computations (52.4% saved)

preprocess132.0ms (1.4%)

Memory
13.6MiB live, 53.0MiB allocated
Remove

(abs y)

(abs x)

Compiler

Compiled 186 to 78 computations (58.1% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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