Data.Random.Distribution.Normal:normalTail from random-fu-0.2.6.2

Time bar (total: 2.7s)

analyze0.0ms (0%)

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

Compiled 9 to 7 computations (22.2% saved)

sample516.0ms (18.9%)

Memory
18.1MiB live, 836.5MiB allocated
Samples
329.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 151.0ms
ival-add: 74.0ms (49% of total)
ival-mult: 68.0ms (45.1% of total)
ival-true: 6.0ms (4% of total)
ival-assert: 3.0ms (2% of total)
Bogosity

preprocess46.0ms (1.7%)

Memory
-23.1MiB live, 19.1MiB allocated
Algorithm
egg-herbie
Rules
124×sub-neg
110×unsub-neg
72×associate-+l-
64×distribute-rgt-in
54×associate--r+
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01744
15143
215242
335842
453142
566042
668642
057
197
2127
3137
0136
Stop Event
iter limit
saturated
saturated
Calls
Call 1
Inputs
(+ (+ (* x x) y) y)
Outputs
(+ (+ (* x x) y) y)
(+.f64 y (fma.f64 x x y))
Call 2
Inputs
(+ (+ (* x x) y) y)
(+ (+ (* (neg x) (neg x)) y) y)
(+ (+ (* x x) (neg y)) (neg y))
(neg (+ (+ (* (neg x) (neg x)) y) y))
(neg (+ (+ (* x x) (neg y)) (neg y)))
(+ (+ (* y y) x) x)
Outputs
(+ (+ (* x x) y) y)
(+ y (+ (* x x) y))
(+ (+ (* (neg x) (neg x)) y) y)
(+ y (+ (* x x) y))
(+ (+ (* x x) (neg y)) (neg y))
(+ (* x x) (* y -2))
(neg (+ (+ (* (neg x) (neg x)) y) y))
(- (* y -2) (* x x))
(neg (+ (+ (* x x) (neg y)) (neg y)))
(- (+ y y) (* x x))
(+ (+ (* y y) x) x)
(+ x (+ x (* y y)))
Symmetry

(abs x)

explain90.0ms (3.3%)

Memory
1.3MiB live, 114.1MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-(+.f64 (*.f64 x x) y)
00-0-(+.f64 (+.f64 (*.f64 x x) y) y)
00-0-y
00-0-(*.f64 x x)
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
21.0ms512×0valid
Compiler

Compiled 56 to 24 computations (57.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 9.0ms
ival-add: 4.0ms (46.8% of total)
ival-mult: 4.0ms (46.8% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

eval0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Compiler

Compiled 2 to 2 computations (0% saved)

prune1.0ms (0%)

Memory
1.3MiB live, 1.3MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(+.f64 (+.f64 (*.f64 x x) y) y)
Compiler

Compiled 9 to 5 computations (44.4% saved)

simplify4.0ms (0.1%)

Memory
7.6MiB live, 7.6MiB allocated
Algorithm
egg-herbie
Localize:

Found 3 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 x x)
cost-diff0
(+.f64 (+.f64 (*.f64 x x) y) y)
cost-diff128
(+.f64 (*.f64 x x) y)
Rules
14×+-lowering-+.f64
14×+-lowering-+.f32
accelerator-lowering-fma.f32
accelerator-lowering-fma.f64
*-lowering-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0517
1917
21217
31317
01315
Stop Event
iter limit
saturated
Calls
Call 1
Inputs
(+ (+ (* x x) y) y)
(+ (* x x) y)
(* x x)
x
y
Outputs
(+ (+ (* x x) y) y)
(+.f64 y (fma.f64 x x y))
(+ (* x x) y)
(fma.f64 x x y)
(* x x)
(*.f64 x x)
x
y

localize20.0ms (0.7%)

Memory
-8.9MiB live, 34.7MiB allocated
Localize:

Found 3 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(*.f64 x x)
accuracy100.0%
(+.f64 (+.f64 (*.f64 x x) y) y)
accuracy100.0%
(+.f64 (*.f64 x x) y)
Samples
13.0ms256×0valid
Compiler

Compiled 19 to 7 computations (63.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 7.0ms
ival-mult: 5.0ms (68.2% of total)
ival-add: 2.0ms (27.3% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series3.0ms (0.1%)

Memory
4.6MiB live, 4.6MiB allocated
Counts
3 → 60
Calls
Call 1
Inputs
#<alt (+ (* x x) y)>
#<alt (+ (+ (* x x) y) y)>
#<alt (* x x)>
Outputs
#<alt y>
#<alt (+ y (pow x 2))>
#<alt (+ y (pow x 2))>
#<alt (+ y (pow x 2))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (/ y (pow x 2))))>
#<alt (* (pow x 2) (+ 1 (/ y (pow x 2))))>
#<alt (* (pow x 2) (+ 1 (/ y (pow x 2))))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (/ y (pow x 2))))>
#<alt (* (pow x 2) (+ 1 (/ y (pow x 2))))>
#<alt (* (pow x 2) (+ 1 (/ y (pow x 2))))>
#<alt (pow x 2)>
#<alt (+ y (pow x 2))>
#<alt (+ y (pow x 2))>
#<alt (+ y (pow x 2))>
#<alt y>
#<alt (* y (+ 1 (/ (pow x 2) y)))>
#<alt (* y (+ 1 (/ (pow x 2) y)))>
#<alt (* y (+ 1 (/ (pow x 2) y)))>
#<alt y>
#<alt (* -1 (* y (- (* -1 (/ (pow x 2) y)) 1)))>
#<alt (* -1 (* y (- (* -1 (/ (pow x 2) y)) 1)))>
#<alt (* -1 (* y (- (* -1 (/ (pow x 2) y)) 1)))>
#<alt (* 2 y)>
#<alt (+ (* 2 y) (pow x 2))>
#<alt (+ (* 2 y) (pow x 2))>
#<alt (+ (* 2 y) (pow x 2))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (* 2 (/ y (pow x 2)))))>
#<alt (* (pow x 2) (+ 1 (* 2 (/ y (pow x 2)))))>
#<alt (* (pow x 2) (+ 1 (* 2 (/ y (pow x 2)))))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (* 2 (/ y (pow x 2)))))>
#<alt (* (pow x 2) (+ 1 (* 2 (/ y (pow x 2)))))>
#<alt (* (pow x 2) (+ 1 (* 2 (/ y (pow x 2)))))>
#<alt (pow x 2)>
#<alt (+ (* 2 y) (pow x 2))>
#<alt (+ (* 2 y) (pow x 2))>
#<alt (+ (* 2 y) (pow x 2))>
#<alt (* 2 y)>
#<alt (* y (+ 2 (/ (pow x 2) y)))>
#<alt (* y (+ 2 (/ (pow x 2) y)))>
#<alt (* y (+ 2 (/ (pow x 2) y)))>
#<alt (* 2 y)>
#<alt (* -1 (* y (- (* -1 (/ (pow x 2) y)) 2)))>
#<alt (* -1 (* y (- (* -1 (/ (pow x 2) y)) 2)))>
#<alt (* -1 (* y (- (* -1 (/ (pow x 2) 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)>
Calls

15 calls:

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

rewrite403.0ms (14.8%)

Memory
-0.7MiB live, 700.4MiB allocated
Algorithm
batch-egg-rewrite
Rules
7 306×accelerator-lowering-fma.f32
7 306×accelerator-lowering-fma.f64
4 782×*-lowering-*.f32
4 782×*-lowering-*.f64
2 300×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0515
13415
231315
3499115
0811013
Stop Event
iter limit
node limit
Counts
3 → 251
Calls
Call 1
Inputs
(+ (* x x) y)
(+ (+ (* x x) y) y)
(* x x)
Outputs
(+.f64 (*.f64 x x) y)
(+.f64 y (*.f64 x x))
(+.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (-.f64 (*.f64 x x) y)) (neg.f64 (/.f64 (*.f64 y y) (-.f64 (*.f64 x x) y))))
(exp.f64 (*.f64 (log.f64 (fma.f64 x x y)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (-.f64 #s(literal 0 binary64) (log.f64 (fma.f64 x x y))) #s(literal -1 binary64)))
(-.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (-.f64 (*.f64 x x) y)) (/.f64 (*.f64 y y) (-.f64 (*.f64 x x) y)))
(-.f64 (/.f64 (*.f64 y y) (-.f64 y (*.f64 x x))) (/.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (-.f64 y (*.f64 x x))))
(fma.f64 x x y)
(fma.f64 x (/.f64 (*.f64 x (*.f64 x x)) (-.f64 (*.f64 x x) y)) (neg.f64 (/.f64 (*.f64 y y) (-.f64 (*.f64 x x) y))))
(fma.f64 (*.f64 x x) (/.f64 (*.f64 x x) (-.f64 (*.f64 x x) y)) (neg.f64 (/.f64 (*.f64 y y) (-.f64 (*.f64 x x) y))))
(fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x x) y)) (neg.f64 (/.f64 (*.f64 y y) (-.f64 (*.f64 x x) y))))
(fma.f64 (*.f64 x (*.f64 x x)) (/.f64 x (-.f64 (*.f64 x x) y)) (neg.f64 (/.f64 (*.f64 y y) (-.f64 (*.f64 x x) y))))
(fma.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)) y)
(fma.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (fma.f64 x x y) (-.f64 (*.f64 x x) y))) (fma.f64 x x y) (neg.f64 (/.f64 (*.f64 y y) (-.f64 (*.f64 x x) y))))
(fma.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (-.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))) (*.f64 y (*.f64 y y)))) (fma.f64 (*.f64 x x) (*.f64 x x) (*.f64 y (fma.f64 x x y))) (neg.f64 (/.f64 (*.f64 y y) (-.f64 (*.f64 x x) y))))
(fma.f64 (pow.f64 (exp.f64 (log.f64 x)) #s(literal 1 binary64)) (pow.f64 (exp.f64 (log.f64 x)) #s(literal 1 binary64)) y)
(neg.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x x y)))
(/.f64 (*.f64 (fma.f64 x x y) (fma.f64 (*.f64 x x) (-.f64 (*.f64 x x) y) (*.f64 y y))) (fma.f64 (*.f64 x x) (-.f64 (*.f64 x x) y) (*.f64 y y)))
(/.f64 (*.f64 (fma.f64 x x y) (-.f64 (*.f64 x x) y)) (-.f64 (*.f64 x x) y))
(/.f64 (*.f64 (fma.f64 (*.f64 x x) (-.f64 (*.f64 x x) y) (*.f64 y y)) (-.f64 #s(literal 0 binary64) (fma.f64 x x y))) (-.f64 #s(literal 0 binary64) (fma.f64 (*.f64 x x) (-.f64 (*.f64 x x) y) (*.f64 y y))))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (fma.f64 x x y) (-.f64 (*.f64 x x) y))) (-.f64 #s(literal 0 binary64) (-.f64 (*.f64 x x) y)))
(/.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 (*.f64 y y) (*.f64 y (*.f64 y y)))) (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))) (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x)))))) (*.f64 (fma.f64 (*.f64 x x) (-.f64 (*.f64 x x) y) (*.f64 y y)) (fma.f64 (*.f64 y (*.f64 y y)) (-.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x)))))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x x y)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x y)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 y (*.f64 x x)) (*.f64 (fma.f64 x x y) (-.f64 y (*.f64 x x)))))
(/.f64 (*.f64 (fma.f64 x x y) (-.f64 y (*.f64 x x))) (-.f64 y (*.f64 x x)))
(/.f64 (*.f64 (*.f64 (fma.f64 x x y) (fma.f64 (*.f64 x x) (-.f64 (*.f64 x x) y) (*.f64 y y))) (-.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))) (*.f64 y (*.f64 y y)))) (*.f64 (fma.f64 (*.f64 x x) (-.f64 (*.f64 x x) y) (*.f64 y y)) (-.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))) (*.f64 y (*.f64 y y)))))
(/.f64 (*.f64 (*.f64 (fma.f64 x x y) (fma.f64 (*.f64 x x) (-.f64 (*.f64 x x) y) (*.f64 y y))) (-.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))) (*.f64 y (*.f64 y y)))) (*.f64 (-.f64 (*.f64 x x) y) (fma.f64 x (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 x x))) (*.f64 (*.f64 y y) (fma.f64 x (*.f64 x (*.f64 x x)) (*.f64 y y))))))
(/.f64 (*.f64 (fma.f64 x (*.f64 x (*.f64 x x)) (*.f64 y y)) (*.f64 (fma.f64 x x y) (-.f64 (*.f64 x x) y))) (*.f64 (-.f64 (*.f64 x x) y) (fma.f64 x (*.f64 x (*.f64 x x)) (*.f64 y y))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x y))))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (-.f64 (*.f64 x x) y)) (*.f64 (-.f64 (*.f64 x x) y) (*.f64 y y))) (*.f64 (-.f64 (*.f64 x x) y) (-.f64 (*.f64 x x) y)))
(/.f64 (*.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 (*.f64 y y) (*.f64 y (*.f64 y y)))) (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))) (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x)))))) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 y (*.f64 y y)) (-.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))))) (fma.f64 (*.f64 x x) (-.f64 (*.f64 x x) y) (*.f64 y y))))
(/.f64 (*.f64 (*.f64 (*.f64 (fma.f64 x x y) (fma.f64 (*.f64 x x) (-.f64 (*.f64 x x) y) (*.f64 y y))) (-.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))) (*.f64 y (*.f64 y y)))) #s(literal 1 binary64)) (*.f64 (-.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))) (*.f64 y (*.f64 y y))) (fma.f64 (*.f64 x x) (-.f64 (*.f64 x x) y) (*.f64 y y))))
(/.f64 (*.f64 (*.f64 (*.f64 (fma.f64 x x y) (fma.f64 (*.f64 x x) (-.f64 (*.f64 x x) y) (*.f64 y y))) (-.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))) (*.f64 y (*.f64 y y)))) #s(literal 1 binary64)) (*.f64 (fma.f64 x (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 x x))) (*.f64 (*.f64 y y) (fma.f64 x (*.f64 x (*.f64 x x)) (*.f64 y y)))) (-.f64 (*.f64 x x) y)))
(/.f64 (*.f64 (*.f64 (fma.f64 x (*.f64 x (*.f64 x x)) (*.f64 y y)) (*.f64 (fma.f64 x x y) (-.f64 (*.f64 x x) y))) #s(literal 1 binary64)) (*.f64 (fma.f64 x (*.f64 x (*.f64 x x)) (*.f64 y y)) (-.f64 (*.f64 x x) y)))
(/.f64 (*.f64 (*.f64 (fma.f64 x x y) (fma.f64 (*.f64 x x) (-.f64 (*.f64 x x) y) (*.f64 y y))) #s(literal 1 binary64)) (fma.f64 (*.f64 x x) (-.f64 (*.f64 x x) y) (*.f64 y y)))
(/.f64 (*.f64 (*.f64 (fma.f64 x x y) (-.f64 (*.f64 x x) y)) #s(literal 1 binary64)) (-.f64 (*.f64 x x) y))
(/.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 x x) (-.f64 (*.f64 x x) y) (*.f64 y y)) (-.f64 #s(literal 0 binary64) (fma.f64 x x y)))) (neg.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (*.f64 x x) (-.f64 (*.f64 x x) y) (*.f64 y y)))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 (fma.f64 x x y) (-.f64 (*.f64 x x) y)))) (neg.f64 (-.f64 #s(literal 0 binary64) (-.f64 (*.f64 x x) y))))
(/.f64 (neg.f64 (*.f64 (fma.f64 x x y) (-.f64 y (*.f64 x x)))) (neg.f64 (-.f64 y (*.f64 x x))))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (-.f64 (*.f64 x x) y)) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 y y) (-.f64 (*.f64 x x) y)) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (-.f64 (*.f64 x x) y)) (/.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (-.f64 (*.f64 x x) y)) (fma.f64 (/.f64 (*.f64 y y) (-.f64 (*.f64 x x) y)) (/.f64 (*.f64 y y) (-.f64 (*.f64 x x) y)) (*.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (-.f64 (*.f64 x x) y)) (/.f64 (*.f64 y y) (-.f64 (*.f64 x x) y))))))
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (-.f64 (*.f64 x x) y)) (/.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (-.f64 (*.f64 x x) y))) (*.f64 (/.f64 (*.f64 y y) (-.f64 (*.f64 x x) y)) (/.f64 (*.f64 y y) (-.f64 (*.f64 x x) y)))) (fma.f64 (*.f64 x x) (/.f64 (*.f64 x x) (-.f64 (*.f64 x x) y)) (/.f64 (*.f64 y y) (-.f64 (*.f64 x x) y))))
(/.f64 (*.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 (*.f64 y y) (*.f64 y (*.f64 y y)))) (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))) (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x)))))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (-.f64 (*.f64 x x) y) (*.f64 y y)))) (fma.f64 (*.f64 y (*.f64 y y)) (-.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))))))
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(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 (+.f64 y (fma.f64 x x y)) (fma.f64 (fma.f64 x x y) (fma.f64 x x #s(literal 0 binary64)) (*.f64 y y))))) (neg.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (fma.f64 x x y) (fma.f64 x x #s(literal 0 binary64)) (*.f64 y y)))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 (+.f64 y (fma.f64 x x y)) (fma.f64 x x #s(literal 0 binary64))))) (neg.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 0 binary64)))))
(/.f64 (neg.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x)) (+.f64 y y))) (neg.f64 (-.f64 (fma.f64 x (*.f64 x (*.f64 x x)) (+.f64 y y)) (*.f64 x (*.f64 x (+.f64 y y))))))
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (+.f64 y y))) (neg.f64 (fma.f64 x x (*.f64 #s(literal -2 binary64) y))))
(/.f64 (neg.f64 (*.f64 (+.f64 y (fma.f64 x x y)) (-.f64 #s(literal 0 binary64) (*.f64 x x)))) (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x))))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (fma.f64 x x y) (fma.f64 x x y)) (fma.f64 x x #s(literal 0 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 y y) (fma.f64 x x #s(literal 0 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 (fma.f64 x x y) (fma.f64 x x y)) (fma.f64 x x #s(literal 0 binary64))) (/.f64 (*.f64 (fma.f64 x x y) (fma.f64 x x y)) (fma.f64 x x #s(literal 0 binary64))) (fma.f64 (/.f64 (*.f64 y y) (fma.f64 x x #s(literal 0 binary64))) (/.f64 (*.f64 y y) (fma.f64 x x #s(literal 0 binary64))) (*.f64 (/.f64 (*.f64 (fma.f64 x x y) (fma.f64 x x y)) (fma.f64 x x #s(literal 0 binary64))) (/.f64 (*.f64 y y) (fma.f64 x x #s(literal 0 binary64)))))))
(/.f64 (-.f64 (+.f64 y y) (*.f64 (*.f64 x x) (*.f64 x x))) (-.f64 (+.f64 y y) (*.f64 x x)))
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 (fma.f64 x x y) (fma.f64 x x y)) (fma.f64 x x #s(literal 0 binary64))) (/.f64 (*.f64 (fma.f64 x x y) (fma.f64 x x y)) (fma.f64 x x #s(literal 0 binary64)))) (*.f64 (/.f64 (*.f64 y y) (fma.f64 x x #s(literal 0 binary64))) (/.f64 (*.f64 y y) (fma.f64 x x #s(literal 0 binary64))))) (fma.f64 (fma.f64 x x y) (/.f64 (fma.f64 x x y) (fma.f64 x x #s(literal 0 binary64))) (/.f64 (*.f64 y y) (fma.f64 x x #s(literal 0 binary64)))))
(/.f64 (*.f64 (*.f64 (+.f64 y (fma.f64 x x y)) (fma.f64 (fma.f64 x x y) (fma.f64 x x #s(literal 0 binary64)) (*.f64 y y))) #s(literal 1 binary64)) (fma.f64 (fma.f64 x x y) (fma.f64 x x #s(literal 0 binary64)) (*.f64 y y)))
(/.f64 (*.f64 (*.f64 (+.f64 y (fma.f64 x x y)) (fma.f64 x x #s(literal 0 binary64))) #s(literal 1 binary64)) (fma.f64 x x #s(literal 0 binary64)))
(/.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 x x y) (*.f64 (fma.f64 x x y) (fma.f64 x x y))) (*.f64 (*.f64 (fma.f64 x x y) (fma.f64 x x y)) (*.f64 (*.f64 (fma.f64 x x y) (fma.f64 x x y)) (*.f64 (fma.f64 x x y) (fma.f64 x x y)))) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 (*.f64 y y) (*.f64 y (*.f64 y y)))))) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 x x y) (fma.f64 x x #s(literal 0 binary64)) (*.f64 y y)))) (fma.f64 (*.f64 y (*.f64 y y)) (-.f64 (*.f64 y (*.f64 y y)) (*.f64 (fma.f64 x x y) (*.f64 (fma.f64 x x y) (fma.f64 x x y)))) (*.f64 (*.f64 (fma.f64 x x y) (fma.f64 x x y)) (*.f64 (*.f64 (fma.f64 x x y) (fma.f64 x x y)) (*.f64 (fma.f64 x x y) (fma.f64 x x y))))))
(/.f64 (*.f64 (*.f64 (*.f64 (+.f64 y (fma.f64 x x y)) (fma.f64 (fma.f64 x x y) (fma.f64 x x #s(literal 0 binary64)) (*.f64 y y))) (fma.f64 (fma.f64 x x y) (*.f64 (fma.f64 x x y) (fma.f64 x x y)) (neg.f64 (*.f64 y (*.f64 y y))))) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 x x y) (fma.f64 x x #s(literal 0 binary64)) (*.f64 y y)))) (fma.f64 (fma.f64 x x y) (*.f64 (fma.f64 x x y) (fma.f64 x x y)) (neg.f64 (*.f64 y (*.f64 y y)))))
(/.f64 (*.f64 (*.f64 (*.f64 (+.f64 y (fma.f64 x x y)) (fma.f64 (fma.f64 x x y) (fma.f64 x x #s(literal 0 binary64)) (*.f64 y y))) (fma.f64 (fma.f64 x x y) (*.f64 (fma.f64 x x y) (fma.f64 x x y)) (neg.f64 (*.f64 y (*.f64 y y))))) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64)))) (fma.f64 (*.f64 y y) (fma.f64 y y (*.f64 (fma.f64 x x y) (fma.f64 x x y))) (*.f64 (*.f64 (fma.f64 x x y) (fma.f64 x x y)) (*.f64 (fma.f64 x x y) (fma.f64 x x y)))))
(/.f64 (*.f64 (*.f64 (fma.f64 y y (*.f64 (fma.f64 x x y) (fma.f64 x x y))) (*.f64 (+.f64 y (fma.f64 x x y)) (fma.f64 x x #s(literal 0 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64)))) (fma.f64 y y (*.f64 (fma.f64 x x y) (fma.f64 x x y))))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 y (fma.f64 x x y))) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 (fma.f64 x (*.f64 x (*.f64 x x)) (+.f64 y y)) (*.f64 x (*.f64 x (+.f64 y y)))) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x)) (+.f64 y y))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 y (fma.f64 x x y))) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 x x (*.f64 #s(literal -2 binary64) y)) (-.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (+.f64 y y))) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (*.f64 (+.f64 y (fma.f64 x x y)) (-.f64 #s(literal 0 binary64) (*.f64 x x)))) #s(literal -1 binary64))
(*.f64 (+.f64 y (fma.f64 x x y)) (*.f64 (fma.f64 x x #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64)))))
(*.f64 (+.f64 y (fma.f64 x x y)) (/.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64))))
(*.f64 (*.f64 (+.f64 y (fma.f64 x x y)) (fma.f64 (fma.f64 x x y) (fma.f64 x x #s(literal 0 binary64)) (*.f64 y y))) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 x x y) (fma.f64 x x #s(literal 0 binary64)) (*.f64 y y))))
(*.f64 (fma.f64 (fma.f64 x x y) (fma.f64 x x #s(literal 0 binary64)) (*.f64 y y)) (*.f64 (+.f64 y (fma.f64 x x y)) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 x x y) (fma.f64 x x #s(literal 0 binary64)) (*.f64 y y)))))
(*.f64 (fma.f64 (fma.f64 x x y) (fma.f64 x x #s(literal 0 binary64)) (*.f64 y y)) (/.f64 (+.f64 y (fma.f64 x x y)) (fma.f64 (fma.f64 x x y) (fma.f64 x x #s(literal 0 binary64)) (*.f64 y y))))
(*.f64 (*.f64 (+.f64 y (fma.f64 x x y)) (fma.f64 x x #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64))))
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 (+.f64 y (fma.f64 x x y)) (fma.f64 (fma.f64 x x y) (fma.f64 x x #s(literal 0 binary64)) (*.f64 y y)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 (fma.f64 x x y) (fma.f64 x x #s(literal 0 binary64)) (*.f64 y y)))))
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 (+.f64 y (fma.f64 x x y)) (fma.f64 x x #s(literal 0 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 0 binary64)))))
(*.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x)) (+.f64 y y)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x (*.f64 x (*.f64 x x)) (+.f64 y y)) (*.f64 x (*.f64 x (+.f64 y y))))))
(*.f64 #s(literal 1 binary64) (+.f64 y (fma.f64 x x y)))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 x x y) (fma.f64 x x #s(literal 0 binary64)) (*.f64 y y))) (*.f64 (+.f64 y (fma.f64 x x y)) (fma.f64 (fma.f64 x x y) (fma.f64 x x #s(literal 0 binary64)) (*.f64 y y))))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 x x y) (fma.f64 x x #s(literal 0 binary64)) (*.f64 y y))) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 y (fma.f64 x x y)) (fma.f64 (fma.f64 x x y) (fma.f64 x x #s(literal 0 binary64)) (*.f64 y y)))) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64))) (*.f64 (+.f64 y (fma.f64 x x y)) (fma.f64 x x #s(literal 0 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 y (fma.f64 x x y)) (fma.f64 x x #s(literal 0 binary64)))) #s(literal -1 binary64)))
(*.f64 (-.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (+.f64 y y)) (/.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 #s(literal -2 binary64) y))))
(*.f64 (*.f64 (+.f64 y (fma.f64 x x y)) (-.f64 #s(literal 0 binary64) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 x x))))
(*.f64 (/.f64 (*.f64 (+.f64 y (fma.f64 x x y)) (fma.f64 x x #s(literal 0 binary64))) (*.f64 (+.f64 y (fma.f64 x x y)) (fma.f64 x x #s(literal 0 binary64)))) (+.f64 y (fma.f64 x x y)))
(*.f64 (/.f64 (*.f64 (+.f64 y (fma.f64 x x y)) (fma.f64 (fma.f64 x x y) (fma.f64 x x #s(literal 0 binary64)) (*.f64 y y))) (fma.f64 (*.f64 (fma.f64 x x y) (*.f64 (fma.f64 x x y) (fma.f64 x x y))) (*.f64 (fma.f64 x x y) (*.f64 (fma.f64 x x y) (fma.f64 x x y))) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 #s(literal -1 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))))))) (fma.f64 (fma.f64 x x y) (*.f64 (fma.f64 x x y) (*.f64 (fma.f64 x x y) (fma.f64 x x y))) (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 x x) y)) (-.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 x x) y)) (*.f64 (fma.f64 x x y) (fma.f64 x x y))))))
(*.f64 (/.f64 (*.f64 (+.f64 y (fma.f64 x x y)) (fma.f64 (fma.f64 x x y) (fma.f64 x x #s(literal 0 binary64)) (*.f64 y y))) (*.f64 (fma.f64 (fma.f64 x x y) (fma.f64 x x #s(literal 0 binary64)) (*.f64 y y)) (fma.f64 (+.f64 y (fma.f64 x x y)) (fma.f64 x x #s(literal 0 binary64)) (*.f64 y (fma.f64 x x y))))) (fma.f64 (+.f64 y (fma.f64 x x y)) (fma.f64 x x #s(literal 0 binary64)) (*.f64 y (fma.f64 x x y))))
(*.f64 (/.f64 (*.f64 (+.f64 y (fma.f64 x x y)) (fma.f64 x x #s(literal 0 binary64))) (fma.f64 (fma.f64 x x y) (*.f64 (fma.f64 x x y) (fma.f64 x x y)) (neg.f64 (*.f64 y (*.f64 y y))))) (fma.f64 y (+.f64 y (fma.f64 x x y)) (*.f64 (fma.f64 x x y) (fma.f64 x x y))))
(*.f64 (pow.f64 (/.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 (*.f64 (+.f64 y (fma.f64 x x y)) (fma.f64 (fma.f64 x x y) (fma.f64 x x #s(literal 0 binary64)) (*.f64 y y))) (fma.f64 (fma.f64 x x y) (*.f64 (fma.f64 x x y) (fma.f64 x x y)) (neg.f64 (*.f64 y (*.f64 y y)))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) (fma.f64 y y (*.f64 (fma.f64 x x y) (fma.f64 x x y))) (*.f64 (*.f64 (fma.f64 x x y) (fma.f64 x x y)) (*.f64 (fma.f64 x x y) (fma.f64 x x y))))))
(*.f64 (pow.f64 (/.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 (fma.f64 y y (*.f64 (fma.f64 x x y) (fma.f64 x x y))) (*.f64 (+.f64 y (fma.f64 x x y)) (fma.f64 x x #s(literal 0 binary64))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y y (*.f64 (fma.f64 x x y) (fma.f64 x x y)))))
(*.f64 (pow.f64 (/.f64 (fma.f64 (fma.f64 x x y) (fma.f64 x x #s(literal 0 binary64)) (*.f64 y y)) (fma.f64 (*.f64 (fma.f64 x x y) (*.f64 (fma.f64 x x y) (fma.f64 x x y))) (*.f64 (*.f64 (fma.f64 x x y) (fma.f64 x x y)) (*.f64 (*.f64 (fma.f64 x x y) (fma.f64 x x y)) (*.f64 (fma.f64 x x y) (fma.f64 x x y)))) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 (*.f64 y y) (*.f64 y (*.f64 y y))))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y (*.f64 y y)) (-.f64 (*.f64 y (*.f64 y y)) (*.f64 (fma.f64 x x y) (*.f64 (fma.f64 x x y) (fma.f64 x x y)))) (*.f64 (*.f64 (fma.f64 x x y) (fma.f64 x x y)) (*.f64 (*.f64 (fma.f64 x x y) (fma.f64 x x y)) (*.f64 (fma.f64 x x y) (fma.f64 x x y)))))))
(*.f64 (pow.f64 (/.f64 (fma.f64 (fma.f64 x x y) (fma.f64 x x #s(literal 0 binary64)) (*.f64 y y)) (*.f64 (*.f64 (+.f64 y (fma.f64 x x y)) (fma.f64 (fma.f64 x x y) (fma.f64 x x #s(literal 0 binary64)) (*.f64 y y))) (fma.f64 (fma.f64 x x y) (*.f64 (fma.f64 x x y) (fma.f64 x x y)) (neg.f64 (*.f64 y (*.f64 y y)))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 x x y) (*.f64 (fma.f64 x x y) (fma.f64 x x y)) (neg.f64 (*.f64 y (*.f64 y y))))))
(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)))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #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 (pow.f64 (exp.f64 (log.f64 x)) #s(literal 1 binary64)) (pow.f64 (exp.f64 (log.f64 x)) #s(literal 1 binary64)))

simplify294.0ms (10.8%)

Memory
1.1MiB live, 318.7MiB allocated
Algorithm
egg-herbie
Rules
4 558×accelerator-lowering-fma.f32
4 558×accelerator-lowering-fma.f64
3 232×*-lowering-*.f32
3 232×*-lowering-*.f64
1 326×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
027282
180282
2193282
3655282
41935282
53634282
66739282
08124246
Stop Event
iter limit
node limit
Counts
60 → 60
Calls
Call 1
Inputs
y
(+ y (pow x 2))
(+ y (pow x 2))
(+ y (pow x 2))
(pow x 2)
(* (pow x 2) (+ 1 (/ y (pow x 2))))
(* (pow x 2) (+ 1 (/ y (pow x 2))))
(* (pow x 2) (+ 1 (/ y (pow x 2))))
(pow x 2)
(* (pow x 2) (+ 1 (/ y (pow x 2))))
(* (pow x 2) (+ 1 (/ y (pow x 2))))
(* (pow x 2) (+ 1 (/ y (pow x 2))))
(pow x 2)
(+ y (pow x 2))
(+ y (pow x 2))
(+ y (pow x 2))
y
(* y (+ 1 (/ (pow x 2) y)))
(* y (+ 1 (/ (pow x 2) y)))
(* y (+ 1 (/ (pow x 2) y)))
y
(* -1 (* y (- (* -1 (/ (pow x 2) y)) 1)))
(* -1 (* y (- (* -1 (/ (pow x 2) y)) 1)))
(* -1 (* y (- (* -1 (/ (pow x 2) y)) 1)))
(* 2 y)
(+ (* 2 y) (pow x 2))
(+ (* 2 y) (pow x 2))
(+ (* 2 y) (pow x 2))
(pow x 2)
(* (pow x 2) (+ 1 (* 2 (/ y (pow x 2)))))
(* (pow x 2) (+ 1 (* 2 (/ y (pow x 2)))))
(* (pow x 2) (+ 1 (* 2 (/ y (pow x 2)))))
(pow x 2)
(* (pow x 2) (+ 1 (* 2 (/ y (pow x 2)))))
(* (pow x 2) (+ 1 (* 2 (/ y (pow x 2)))))
(* (pow x 2) (+ 1 (* 2 (/ y (pow x 2)))))
(pow x 2)
(+ (* 2 y) (pow x 2))
(+ (* 2 y) (pow x 2))
(+ (* 2 y) (pow x 2))
(* 2 y)
(* y (+ 2 (/ (pow x 2) y)))
(* y (+ 2 (/ (pow x 2) y)))
(* y (+ 2 (/ (pow x 2) y)))
(* 2 y)
(* -1 (* y (- (* -1 (/ (pow x 2) y)) 2)))
(* -1 (* y (- (* -1 (/ (pow x 2) y)) 2)))
(* -1 (* y (- (* -1 (/ (pow x 2) 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)
Outputs
y
(+ y (pow x 2))
(fma.f64 x x y)
(+ y (pow x 2))
(fma.f64 x x y)
(+ y (pow x 2))
(fma.f64 x x y)
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(* (pow x 2) (+ 1 (/ y (pow x 2))))
(fma.f64 x x y)
(* (pow x 2) (+ 1 (/ y (pow x 2))))
(fma.f64 x x y)
(* (pow x 2) (+ 1 (/ y (pow x 2))))
(fma.f64 x x y)
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(* (pow x 2) (+ 1 (/ y (pow x 2))))
(fma.f64 x x y)
(* (pow x 2) (+ 1 (/ y (pow x 2))))
(fma.f64 x x y)
(* (pow x 2) (+ 1 (/ y (pow x 2))))
(fma.f64 x x y)
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(+ y (pow x 2))
(fma.f64 x x y)
(+ y (pow x 2))
(fma.f64 x x y)
(+ y (pow x 2))
(fma.f64 x x y)
y
(* y (+ 1 (/ (pow x 2) y)))
(fma.f64 x x y)
(* y (+ 1 (/ (pow x 2) y)))
(fma.f64 x x y)
(* y (+ 1 (/ (pow x 2) y)))
(fma.f64 x x y)
y
(* -1 (* y (- (* -1 (/ (pow x 2) y)) 1)))
(fma.f64 x x y)
(* -1 (* y (- (* -1 (/ (pow x 2) y)) 1)))
(fma.f64 x x y)
(* -1 (* y (- (* -1 (/ (pow x 2) y)) 1)))
(fma.f64 x x y)
(* 2 y)
(fma.f64 y #s(literal 2 binary64) #s(literal 0 binary64))
(+ (* 2 y) (pow x 2))
(fma.f64 y #s(literal 2 binary64) (fma.f64 x x #s(literal 0 binary64)))
(+ (* 2 y) (pow x 2))
(fma.f64 y #s(literal 2 binary64) (fma.f64 x x #s(literal 0 binary64)))
(+ (* 2 y) (pow x 2))
(fma.f64 y #s(literal 2 binary64) (fma.f64 x x #s(literal 0 binary64)))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(* (pow x 2) (+ 1 (* 2 (/ y (pow x 2)))))
(fma.f64 y #s(literal 2 binary64) (fma.f64 x x #s(literal 0 binary64)))
(* (pow x 2) (+ 1 (* 2 (/ y (pow x 2)))))
(fma.f64 y #s(literal 2 binary64) (fma.f64 x x #s(literal 0 binary64)))
(* (pow x 2) (+ 1 (* 2 (/ y (pow x 2)))))
(fma.f64 y #s(literal 2 binary64) (fma.f64 x x #s(literal 0 binary64)))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(* (pow x 2) (+ 1 (* 2 (/ y (pow x 2)))))
(fma.f64 y #s(literal 2 binary64) (fma.f64 x x #s(literal 0 binary64)))
(* (pow x 2) (+ 1 (* 2 (/ y (pow x 2)))))
(fma.f64 y #s(literal 2 binary64) (fma.f64 x x #s(literal 0 binary64)))
(* (pow x 2) (+ 1 (* 2 (/ y (pow x 2)))))
(fma.f64 y #s(literal 2 binary64) (fma.f64 x x #s(literal 0 binary64)))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(+ (* 2 y) (pow x 2))
(fma.f64 y #s(literal 2 binary64) (fma.f64 x x #s(literal 0 binary64)))
(+ (* 2 y) (pow x 2))
(fma.f64 y #s(literal 2 binary64) (fma.f64 x x #s(literal 0 binary64)))
(+ (* 2 y) (pow x 2))
(fma.f64 y #s(literal 2 binary64) (fma.f64 x x #s(literal 0 binary64)))
(* 2 y)
(fma.f64 y #s(literal 2 binary64) #s(literal 0 binary64))
(* y (+ 2 (/ (pow x 2) y)))
(fma.f64 y #s(literal 2 binary64) (fma.f64 x x #s(literal 0 binary64)))
(* y (+ 2 (/ (pow x 2) y)))
(fma.f64 y #s(literal 2 binary64) (fma.f64 x x #s(literal 0 binary64)))
(* y (+ 2 (/ (pow x 2) y)))
(fma.f64 y #s(literal 2 binary64) (fma.f64 x x #s(literal 0 binary64)))
(* 2 y)
(fma.f64 y #s(literal 2 binary64) #s(literal 0 binary64))
(* -1 (* y (- (* -1 (/ (pow x 2) y)) 2)))
(fma.f64 y #s(literal 2 binary64) (fma.f64 x x #s(literal 0 binary64)))
(* -1 (* y (- (* -1 (/ (pow x 2) y)) 2)))
(fma.f64 y #s(literal 2 binary64) (fma.f64 x x #s(literal 0 binary64)))
(* -1 (* y (- (* -1 (/ (pow x 2) y)) 2)))
(fma.f64 y #s(literal 2 binary64) (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))

eval63.0ms (2.3%)

Memory
3.9MiB live, 81.5MiB allocated
Compiler

Compiled 8 930 to 697 computations (92.2% saved)

prune55.0ms (2%)

Memory
-1.8MiB live, 78.9MiB allocated
Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New3083311
Fresh000
Picked101
Done000
Total3093312
Accuracy
100.0%
Counts
312 → 3
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(fma.f64 x x (+.f64 y y))
46.6%
(fma.f64 x x #s(literal 0 binary64))
55.5%
(+.f64 y y)
Compiler

Compiled 19 to 11 computations (42.1% saved)

simplify31.0ms (1.1%)

Memory
-30.4MiB live, 9.1MiB allocated
Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff0
(+.f64 y y)
cost-diff0
(fma.f64 x x (+.f64 y y))
cost-diff0
(fma.f64 x x #s(literal 0 binary64))
cost-diff0
(+.f64 y y)
Rules
34×+-lowering-+.f64
34×+-lowering-+.f32
14×associate-+l+
14×accelerator-lowering-fma.f32
14×accelerator-lowering-fma.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0721
11321
22721
33321
43521
03520
Stop Event
iter limit
saturated
Calls
Call 1
Inputs
(+ y y)
y
(+ (* x x) 0)
x
0
(+ (* x x) (+ y y))
x
(+ y y)
y
Outputs
(+ y y)
(+.f64 y y)
y
(+ (* x x) 0)
(fma.f64 x x #s(literal 0 binary64))
x
0
#s(literal 0 binary64)
(+ (* x x) (+ y y))
(+.f64 y (fma.f64 x x y))
x
(+ y y)
(+.f64 y y)
y

localize20.0ms (0.7%)

Memory
35.8MiB live, 35.8MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(fma.f64 x x (+.f64 y y))
accuracy100.0%
(+.f64 y y)
accuracy100.0%
(fma.f64 x x #s(literal 0 binary64))
accuracy100.0%
(+.f64 y y)
Samples
12.0ms256×0valid
Compiler

Compiled 23 to 9 computations (60.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 5.0ms
ival-add: 3.0ms (59.1% of total)
ival-mult: 2.0ms (39.4% 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
1.5MiB live, 1.5MiB allocated
Counts
3 → 48
Calls
Call 1
Inputs
#<alt (+ y y)>
#<alt (+ (* x x) 0)>
#<alt (+ (* x x) (+ y y))>
Outputs
#<alt (* 2 y)>
#<alt (* 2 y)>
#<alt (* 2 y)>
#<alt (* 2 y)>
#<alt (* 2 y)>
#<alt (* 2 y)>
#<alt (* 2 y)>
#<alt (* 2 y)>
#<alt (* 2 y)>
#<alt (* 2 y)>
#<alt (* 2 y)>
#<alt (* 2 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)>
#<alt (* 2 y)>
#<alt (+ (* 2 y) (pow x 2))>
#<alt (+ (* 2 y) (pow x 2))>
#<alt (+ (* 2 y) (pow x 2))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (* 2 (/ y (pow x 2)))))>
#<alt (* (pow x 2) (+ 1 (* 2 (/ y (pow x 2)))))>
#<alt (* (pow x 2) (+ 1 (* 2 (/ y (pow x 2)))))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (* 2 (/ y (pow x 2)))))>
#<alt (* (pow x 2) (+ 1 (* 2 (/ y (pow x 2)))))>
#<alt (* (pow x 2) (+ 1 (* 2 (/ y (pow x 2)))))>
#<alt (pow x 2)>
#<alt (+ (* 2 y) (pow x 2))>
#<alt (+ (* 2 y) (pow x 2))>
#<alt (+ (* 2 y) (pow x 2))>
#<alt (* 2 y)>
#<alt (* y (+ 2 (/ (pow x 2) y)))>
#<alt (* y (+ 2 (/ (pow x 2) y)))>
#<alt (* y (+ 2 (/ (pow x 2) y)))>
#<alt (* 2 y)>
#<alt (* -1 (* y (- (* -1 (/ (pow x 2) y)) 2)))>
#<alt (* -1 (* y (- (* -1 (/ (pow x 2) y)) 2)))>
#<alt (* -1 (* y (- (* -1 (/ (pow x 2) y)) 2)))>
Calls

12 calls:

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

rewrite68.0ms (2.5%)

Memory
-11.2MiB live, 70.5MiB allocated
Algorithm
batch-egg-rewrite
Rules
268×associate-*l/
236×associate-*r/
166×*-lowering-*.f32
166×*-lowering-*.f64
162×associate-/r/
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
079
1453
25873
036853
Stop Event
iter limit
iter limit
iter limit
unsound
Counts
3 → 3
Calls
Call 1
Inputs
(+ y y)
(+ (* x x) 0)
(+ (* x x) (+ y y))
Outputs
#s(literal 0 binary64)
#s(literal 0 binary64)
#s(literal 0 binary64)

simplify239.0ms (8.8%)

Memory
-27.1MiB live, 231.4MiB allocated
Algorithm
egg-herbie
Rules
3 234×accelerator-lowering-fma.f32
3 234×accelerator-lowering-fma.f64
3 064×*-lowering-*.f32
3 064×*-lowering-*.f64
1 974×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
019216
153216
2130216
3431216
41321216
53236216
66164216
08044198
Stop Event
iter limit
node limit
Counts
48 → 48
Calls
Call 1
Inputs
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 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)
(* 2 y)
(+ (* 2 y) (pow x 2))
(+ (* 2 y) (pow x 2))
(+ (* 2 y) (pow x 2))
(pow x 2)
(* (pow x 2) (+ 1 (* 2 (/ y (pow x 2)))))
(* (pow x 2) (+ 1 (* 2 (/ y (pow x 2)))))
(* (pow x 2) (+ 1 (* 2 (/ y (pow x 2)))))
(pow x 2)
(* (pow x 2) (+ 1 (* 2 (/ y (pow x 2)))))
(* (pow x 2) (+ 1 (* 2 (/ y (pow x 2)))))
(* (pow x 2) (+ 1 (* 2 (/ y (pow x 2)))))
(pow x 2)
(+ (* 2 y) (pow x 2))
(+ (* 2 y) (pow x 2))
(+ (* 2 y) (pow x 2))
(* 2 y)
(* y (+ 2 (/ (pow x 2) y)))
(* y (+ 2 (/ (pow x 2) y)))
(* y (+ 2 (/ (pow x 2) y)))
(* 2 y)
(* -1 (* y (- (* -1 (/ (pow x 2) y)) 2)))
(* -1 (* y (- (* -1 (/ (pow x 2) y)) 2)))
(* -1 (* y (- (* -1 (/ (pow x 2) y)) 2)))
Outputs
(* 2 y)
(fma.f64 #s(literal 2 binary64) y #s(literal 0 binary64))
(* 2 y)
(fma.f64 #s(literal 2 binary64) y #s(literal 0 binary64))
(* 2 y)
(fma.f64 #s(literal 2 binary64) y #s(literal 0 binary64))
(* 2 y)
(fma.f64 #s(literal 2 binary64) y #s(literal 0 binary64))
(* 2 y)
(fma.f64 #s(literal 2 binary64) y #s(literal 0 binary64))
(* 2 y)
(fma.f64 #s(literal 2 binary64) y #s(literal 0 binary64))
(* 2 y)
(fma.f64 #s(literal 2 binary64) y #s(literal 0 binary64))
(* 2 y)
(fma.f64 #s(literal 2 binary64) y #s(literal 0 binary64))
(* 2 y)
(fma.f64 #s(literal 2 binary64) y #s(literal 0 binary64))
(* 2 y)
(fma.f64 #s(literal 2 binary64) y #s(literal 0 binary64))
(* 2 y)
(fma.f64 #s(literal 2 binary64) y #s(literal 0 binary64))
(* 2 y)
(fma.f64 #s(literal 2 binary64) 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))
(* 2 y)
(fma.f64 #s(literal 2 binary64) y #s(literal 0 binary64))
(+ (* 2 y) (pow x 2))
(fma.f64 #s(literal 2 binary64) y (fma.f64 x x #s(literal 0 binary64)))
(+ (* 2 y) (pow x 2))
(fma.f64 #s(literal 2 binary64) y (fma.f64 x x #s(literal 0 binary64)))
(+ (* 2 y) (pow x 2))
(fma.f64 #s(literal 2 binary64) y (fma.f64 x x #s(literal 0 binary64)))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(* (pow x 2) (+ 1 (* 2 (/ y (pow x 2)))))
(fma.f64 #s(literal 2 binary64) y (fma.f64 x x #s(literal 0 binary64)))
(* (pow x 2) (+ 1 (* 2 (/ y (pow x 2)))))
(fma.f64 #s(literal 2 binary64) y (fma.f64 x x #s(literal 0 binary64)))
(* (pow x 2) (+ 1 (* 2 (/ y (pow x 2)))))
(fma.f64 #s(literal 2 binary64) y (fma.f64 x x #s(literal 0 binary64)))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(* (pow x 2) (+ 1 (* 2 (/ y (pow x 2)))))
(fma.f64 #s(literal 2 binary64) y (fma.f64 x x #s(literal 0 binary64)))
(* (pow x 2) (+ 1 (* 2 (/ y (pow x 2)))))
(fma.f64 #s(literal 2 binary64) y (fma.f64 x x #s(literal 0 binary64)))
(* (pow x 2) (+ 1 (* 2 (/ y (pow x 2)))))
(fma.f64 #s(literal 2 binary64) y (fma.f64 x x #s(literal 0 binary64)))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(+ (* 2 y) (pow x 2))
(fma.f64 #s(literal 2 binary64) y (fma.f64 x x #s(literal 0 binary64)))
(+ (* 2 y) (pow x 2))
(fma.f64 #s(literal 2 binary64) y (fma.f64 x x #s(literal 0 binary64)))
(+ (* 2 y) (pow x 2))
(fma.f64 #s(literal 2 binary64) y (fma.f64 x x #s(literal 0 binary64)))
(* 2 y)
(fma.f64 #s(literal 2 binary64) y #s(literal 0 binary64))
(* y (+ 2 (/ (pow x 2) y)))
(fma.f64 #s(literal 2 binary64) y (fma.f64 x x #s(literal 0 binary64)))
(* y (+ 2 (/ (pow x 2) y)))
(fma.f64 #s(literal 2 binary64) y (fma.f64 x x #s(literal 0 binary64)))
(* y (+ 2 (/ (pow x 2) y)))
(fma.f64 #s(literal 2 binary64) y (fma.f64 x x #s(literal 0 binary64)))
(* 2 y)
(fma.f64 #s(literal 2 binary64) y #s(literal 0 binary64))
(* -1 (* y (- (* -1 (/ (pow x 2) y)) 2)))
(fma.f64 #s(literal 2 binary64) y (fma.f64 x x #s(literal 0 binary64)))
(* -1 (* y (- (* -1 (/ (pow x 2) y)) 2)))
(fma.f64 #s(literal 2 binary64) y (fma.f64 x x #s(literal 0 binary64)))
(* -1 (* y (- (* -1 (/ (pow x 2) y)) 2)))
(fma.f64 #s(literal 2 binary64) y (fma.f64 x x #s(literal 0 binary64)))

eval6.0ms (0.2%)

Memory
11.9MiB live, 11.9MiB allocated
Compiler

Compiled 339 to 8 computations (97.6% saved)

prune2.0ms (0.1%)

Memory
6.4MiB live, 6.4MiB allocated
Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New63164
Fresh000
Picked033
Done000
Total63467
Accuracy
100.0%
Counts
67 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(fma.f64 x x (+.f64 y y))
46.6%
(fma.f64 x x #s(literal 0 binary64))
55.5%
(+.f64 y y)
3.0%
#s(literal 0 binary64)
Compiler

Compiled 22 to 14 computations (36.4% saved)

simplify8.0ms (0.3%)

Memory
-34.9MiB live, 4.5MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
011
011
Stop Event
saturated
saturated
Calls
Call 1
Inputs
0
Outputs
0
#s(literal 0 binary64)

localize7.0ms (0.2%)

Memory
17.2MiB live, 17.2MiB allocated
Samples
4.0ms256×0valid
Compiler

Compiled 3 to 5 computations (-66.7% saved)

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

series0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated
Counts
0 → 0
Calls
Call 1
Inputs
Outputs

rewrite7.0ms (0.3%)

Memory
11.3MiB live, 11.3MiB allocated
Algorithm
batch-egg-rewrite
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
000
000
Stop Event
saturated
saturated
Counts
0 → 0
Calls
Call 1
Inputs
Outputs

simplify3.0ms (0.1%)

Memory
3.3MiB live, 3.3MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
000
000
Stop Event
saturated
saturated
Counts
0 → 0
Calls
Call 1
Inputs
Outputs

eval0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated
Compiler

Compiled 2 to 2 computations (0% saved)

prune2.0ms (0.1%)

Memory
4.7MiB live, 4.7MiB allocated
Pruning

4 alts after pruning (0 fresh and 4 done)

PrunedKeptTotal
New000
Fresh000
Picked011
Done033
Total044
Accuracy
100.0%
Counts
4 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(fma.f64 x x (+.f64 y y))
46.6%
(fma.f64 x x #s(literal 0 binary64))
55.5%
(+.f64 y y)
3.0%
#s(literal 0 binary64)
Compiler

Compiled 45 to 23 computations (48.9% saved)

regimes12.0ms (0.4%)

Memory
-24.9MiB live, 17.9MiB allocated
Counts
5 → 1
Calls
Call 1
Inputs
#s(literal 0 binary64)
(+.f64 y y)
(fma.f64 x x #s(literal 0 binary64))
(fma.f64 x x (+.f64 y y))
(+.f64 (+.f64 (*.f64 x x) y) y)
Outputs
(fma.f64 x x (+.f64 y y))
Calls

4 calls:

4.0ms
(*.f64 x x)
2.0ms
x
2.0ms
y
2.0ms
(+.f64 (+.f64 (*.f64 x x) y) y)
Results
AccuracySegmentsBranch
100.0%1x
100.0%1y
100.0%1(+.f64 (+.f64 (*.f64 x x) y) y)
100.0%1(*.f64 x x)
Compiler

Compiled 20 to 12 computations (40% saved)

regimes8.0ms (0.3%)

Memory
13.7MiB live, 13.7MiB allocated
Counts
3 → 2
Calls
Call 1
Inputs
#s(literal 0 binary64)
(+.f64 y y)
(fma.f64 x x #s(literal 0 binary64))
Outputs
(+.f64 y y)
(fma.f64 x x #s(literal 0 binary64))
Calls

4 calls:

2.0ms
x
2.0ms
y
2.0ms
(+.f64 (+.f64 (*.f64 x x) y) y)
2.0ms
(*.f64 x x)
Results
AccuracySegmentsBranch
91.5%2x
65.1%3y
82.0%2(+.f64 (+.f64 (*.f64 x x) y) y)
91.5%2(*.f64 x x)
Compiler

Compiled 20 to 12 computations (40% saved)

regimes15.0ms (0.5%)

Memory
-27.2MiB live, 12.2MiB allocated
Counts
2 → 1
Calls
Call 1
Inputs
#s(literal 0 binary64)
(+.f64 y y)
Outputs
(+.f64 y y)
Calls

4 calls:

10.0ms
y
2.0ms
x
2.0ms
(+.f64 (+.f64 (*.f64 x x) y) y)
1.0ms
(*.f64 x x)
Results
AccuracySegmentsBranch
55.5%1y
55.5%1(+.f64 (+.f64 (*.f64 x x) y) y)
55.5%1x
55.5%1(*.f64 x x)
Compiler

Compiled 20 to 12 computations (40% saved)

regimes5.0ms (0.2%)

Memory
10.5MiB live, 10.5MiB allocated
Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts
1 → 1
Calls
Call 1
Inputs
#s(literal 0 binary64)
Outputs
#s(literal 0 binary64)
Calls

4 calls:

1.0ms
x
1.0ms
(+.f64 (+.f64 (*.f64 x x) y) y)
1.0ms
y
1.0ms
(*.f64 x x)
Results
AccuracySegmentsBranch
3.0%1x
3.0%1y
3.0%1(+.f64 (+.f64 (*.f64 x x) y) y)
3.0%1(*.f64 x x)
Compiler

Compiled 20 to 12 computations (40% saved)

bsearch0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
1.6596223408205836e-11
208061761475282430.0
Compiler

Compiled 12 to 10 computations (16.7% saved)

simplify8.0ms (0.3%)

Memory
11.5MiB live, 11.5MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01023
Stop Event
saturated
Calls
Call 1
Inputs
(fma.f64 x x (+.f64 y y))
(if (<=.f64 (*.f64 x x) #s(literal 6189700196426901/309485009821345068724781056 binary64)) (+.f64 y y) (fma.f64 x x #s(literal 0 binary64)))
(+.f64 y y)
#s(literal 0 binary64)
Outputs
(fma.f64 x x (+.f64 y y))
(if (<=.f64 (*.f64 x x) #s(literal 6189700196426901/309485009821345068724781056 binary64)) (+.f64 y y) (fma.f64 x x #s(literal 0 binary64)))
(+.f64 y y)
#s(literal 0 binary64)

soundness725.0ms (26.6%)

Memory
-16.3MiB live, 300.0MiB allocated
Rules
7 306×accelerator-lowering-fma.f32
7 306×accelerator-lowering-fma.f64
4 782×*-lowering-*.f32
4 782×*-lowering-*.f64
4 558×accelerator-lowering-fma.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0515
13415
231315
3499115
0811013
027282
180282
2193282
3655282
41935282
53634282
66739282
08124246
079
1453
25873
036853
Stop Event
done
iter limit
iter limit
iter limit
unsound
iter limit
node limit
iter limit
node limit
Compiler

Compiled 57 to 30 computations (47.4% saved)

preprocess64.0ms (2.4%)

Memory
29.5MiB live, 68.7MiB allocated
Remove

(abs x)

Compiler

Compiled 102 to 48 computations (52.9% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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