Data.Colour.SRGB:invTransferFunction from colour-2.3.3

Time bar (total: 10.2s)

analyze14.0ms (0.1%)

Memory
-17.9MiB live, 20.8MiB allocated
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
0%0%99.9%0.1%0%0%0%1
0%0%99.9%0.1%0%0%0%2
50%50%50%0.1%0%0%0%3
50%50%50%0.1%0%0%0%4
75%74.9%25%0.1%0%0%0%5
75%74.9%25%0.1%0%0%0%6
87.5%87.4%12.5%0.1%0%0%0%7
87.5%87.4%12.5%0.1%0%0%0%8
93.8%93.7%6.2%0.1%0%0%0%9
93.8%93.7%6.2%0.1%0%0%0%10
96.9%96.8%3.1%0.1%0%0%0%11
96.9%96.8%3.1%0.1%0%0%0%12
Compiler

Compiled 9 to 8 computations (11.1% saved)

sample1.2s (11.7%)

Memory
6.8MiB live, 672.0MiB allocated
Samples
945.0ms8 253×0valid
0.0ms2valid
Precisions
Click to see histograms. Total time spent on operations: 464.0ms
ival-add: 230.0ms (49.5% of total)
ival-div: 221.0ms (47.6% of total)
ival-true: 6.0ms (1.3% of total)
exact: 5.0ms (1.1% of total)
ival-assert: 3.0ms (0.6% of total)
adjust: 0.0ms (0% of total)
Bogosity

preprocess53.0ms (0.5%)

Memory
5.0MiB live, 49.7MiB allocated
Algorithm
egg-herbie
Rules
402×times-frac
356×associate-*r*
272×div-sub
238×unsub-neg
238×distribute-lft-in
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01641
14235
28635
320435
457735
5121635
6158635
7197935
8210335
9217435
10218635
067
1107
0107
Stop Event
iter limit
saturated
saturated
Calls
Call 1
Inputs
(/ (+ x y) (+ y 1))
Outputs
(/ (+ x y) (+ y 1))
(/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64)))

explain61.0ms (0.6%)

Memory
1.5MiB live, 160.1MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-(/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64)))
00-0-(+.f64 y #s(literal 1 binary64))
00-0-y
00-0-#s(literal 1 binary64)
00-0-(+.f64 x y)
00-0-x
Confusion
Predicted +Predicted -
+00
-0256
Precision
0/0
Recall
0/0
Confusion?
Predicted +Predicted MaybePredicted -
+000
-00256
Precision?
0/0
Recall?
0/0
Freqs
test
numberfreq
0256
Total Confusion?
Predicted +Predicted MaybePredicted -
+000
-001
Precision?
0/0
Recall?
0/0
Samples
27.0ms512×0valid
Compiler

Compiled 54 to 28 computations (48.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 10.0ms
ival-add: 5.0ms (50.6% of total)
ival-div: 4.0ms (40.5% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

eval0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated
Compiler

Compiled 2 to 2 computations (0% saved)

prune1.0ms (0%)

Memory
2.0MiB live, 2.0MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64)))
Compiler

Compiled 9 to 6 computations (33.3% saved)

simplify4.0ms (0%)

Memory
11.4MiB live, 11.4MiB allocated
Algorithm
egg-herbie
Localize:

Found 3 expressions of interest:

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

Useful iterations: 0 (0.0ms)

IterNodesCost
0616
11016
01016
Stop Event
iter limit
saturated
Calls
Call 1
Inputs
(/ (+ x y) (+ y 1))
(+ x y)
x
y
(+ y 1)
1
Outputs
(/ (+ x y) (+ y 1))
(/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64)))
(+ x y)
(+.f64 x y)
x
y
(+ y 1)
(+.f64 y #s(literal 1 binary64))
1
#s(literal 1 binary64)

localize20.0ms (0.2%)

Memory
-24.2MiB live, 53.0MiB allocated
Localize:

Found 3 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(+.f64 y #s(literal 1 binary64))
accuracy100.0%
(+.f64 x y)
accuracy100.0%
(/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64)))
Samples
11.0ms256×0valid
Compiler

Compiled 18 to 8 computations (55.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 5.0ms
ival-add: 3.0ms (63.9% of total)
ival-div: 2.0ms (42.6% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series3.0ms (0%)

Memory
8.3MiB live, 8.3MiB allocated
Counts
3 → 60
Calls
Call 1
Inputs
#<alt (/ (+ x y) (+ y 1))>
#<alt (+ x y)>
#<alt (+ y 1)>
Outputs
#<alt (/ y (+ 1 y))>
#<alt (+ (/ x (+ 1 y)) (/ y (+ 1 y)))>
#<alt (+ (/ x (+ 1 y)) (/ y (+ 1 y)))>
#<alt (+ (/ x (+ 1 y)) (/ y (+ 1 y)))>
#<alt (/ x (+ 1 y))>
#<alt (* x (+ (/ 1 (+ 1 y)) (/ y (* x (+ 1 y)))))>
#<alt (* x (+ (/ 1 (+ 1 y)) (/ y (* x (+ 1 y)))))>
#<alt (* x (+ (/ 1 (+ 1 y)) (/ y (* x (+ 1 y)))))>
#<alt (/ x (+ 1 y))>
#<alt (* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y)))))>
#<alt (* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y)))))>
#<alt (* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y)))))>
#<alt x>
#<alt (+ x (* y (- 1 x)))>
#<alt (+ x (* y (- (+ 1 (* y (- x 1))) x)))>
#<alt (+ x (* y (- (+ 1 (* y (- (+ x (* y (- 1 x))) 1))) x)))>
#<alt 1>
#<alt (- (+ 1 (/ x y)) (/ 1 y))>
#<alt (- (+ 1 (+ (/ 1 (pow y 2)) (/ x y))) (+ (/ 1 y) (/ x (pow y 2))))>
#<alt (- (+ 1 (+ (/ 1 (pow y 2)) (+ (/ x y) (/ x (pow y 3))))) (+ (/ 1 y) (+ (/ 1 (pow y 3)) (/ x (pow y 2)))))>
#<alt 1>
#<alt (+ 1 (* -1 (/ (+ 1 (* -1 x)) y)))>
#<alt (+ 1 (* -1 (/ (+ 1 (+ (* -1 x) (* -1 (/ (+ 1 (* -1 x)) y)))) y)))>
#<alt (+ 1 (* -1 (/ (+ 1 (+ (* -1 x) (* -1 (/ (- (* -1 (/ (+ 1 (* -1 x)) y)) (* -1 (+ 1 (* -1 x)))) y)))) y)))>
#<alt y>
#<alt (+ x y)>
#<alt (+ x y)>
#<alt (+ x y)>
#<alt x>
#<alt (* x (+ 1 (/ y x)))>
#<alt (* x (+ 1 (/ y x)))>
#<alt (* x (+ 1 (/ y x)))>
#<alt x>
#<alt (* -1 (* x (- (* -1 (/ y x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ y x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ y x)) 1)))>
#<alt x>
#<alt (+ x y)>
#<alt (+ x y)>
#<alt (+ x y)>
#<alt y>
#<alt (* y (+ 1 (/ x y)))>
#<alt (* y (+ 1 (/ x y)))>
#<alt (* y (+ 1 (/ x y)))>
#<alt y>
#<alt (* -1 (* y (- (* -1 (/ x y)) 1)))>
#<alt (* -1 (* y (- (* -1 (/ x y)) 1)))>
#<alt (* -1 (* y (- (* -1 (/ x y)) 1)))>
#<alt 1>
#<alt (+ 1 y)>
#<alt (+ 1 y)>
#<alt (+ 1 y)>
#<alt y>
#<alt (* y (+ 1 (/ 1 y)))>
#<alt (* y (+ 1 (/ 1 y)))>
#<alt (* y (+ 1 (/ 1 y)))>
#<alt y>
#<alt (* y (+ 1 (/ 1 y)))>
#<alt (* y (+ 1 (/ 1 y)))>
#<alt (* y (+ 1 (/ 1 y)))>
Calls

15 calls:

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

rewrite435.0ms (4.3%)

Memory
0.3MiB live, 613.7MiB allocated
Algorithm
batch-egg-rewrite
Rules
5 790×/-lowering-/.f32
5 790×/-lowering-/.f64
5 040×*-lowering-*.f32
5 040×*-lowering-*.f64
2 694×accelerator-lowering-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0613
14013
230413
3373913
0990013
Stop Event
iter limit
node limit
Counts
3 → 471
Calls
Call 1
Inputs
(/ (+ x y) (+ y 1))
(+ x y)
(+ y 1)
Outputs
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))) x) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))) y))
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))) y) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))) x))
(+.f64 (*.f64 (/.f64 (+.f64 x y) (fma.f64 y (*.f64 y y) #s(literal 1 binary64))) (*.f64 y y)) (*.f64 (/.f64 (+.f64 x y) (fma.f64 y (*.f64 y y) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) y)))
(+.f64 (*.f64 (/.f64 (+.f64 x y) (fma.f64 y (*.f64 y y) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) y)) (*.f64 (/.f64 (+.f64 x y) (fma.f64 y (*.f64 y y) #s(literal 1 binary64))) (*.f64 y y)))
(+.f64 (*.f64 (/.f64 (+.f64 x y) (fma.f64 y y #s(literal -1 binary64))) y) (*.f64 (/.f64 (+.f64 x y) (fma.f64 y y #s(literal -1 binary64))) #s(literal -1 binary64)))
(+.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64)))) (*.f64 y (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64)))))
(+.f64 (*.f64 y (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64)))) (*.f64 x (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64)))))
(+.f64 (*.f64 (*.f64 y y) (/.f64 (+.f64 x y) (fma.f64 y (*.f64 y y) #s(literal 1 binary64)))) (*.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 (+.f64 x y) (fma.f64 y (*.f64 y y) #s(literal 1 binary64)))))
(+.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 (+.f64 x y) (fma.f64 y (*.f64 y y) #s(literal 1 binary64)))) (*.f64 (*.f64 y y) (/.f64 (+.f64 x y) (fma.f64 y (*.f64 y y) #s(literal 1 binary64)))))
(+.f64 (*.f64 y (/.f64 (+.f64 x y) (fma.f64 y y #s(literal -1 binary64)))) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 x y) (fma.f64 y y #s(literal -1 binary64)))))
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 y #s(literal 1 binary64)) (+.f64 x y))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 (+.f64 x y) (-.f64 #s(literal -1 binary64) y)))
(-.f64 (/.f64 (/.f64 (*.f64 x x) (-.f64 x y)) (+.f64 y #s(literal 1 binary64))) (/.f64 (/.f64 (*.f64 y y) (-.f64 x y)) (+.f64 y #s(literal 1 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal -1 binary64) y)) (/.f64 (+.f64 x y) (-.f64 #s(literal -1 binary64) y)))
(-.f64 (/.f64 (*.f64 x x) (*.f64 (+.f64 y #s(literal 1 binary64)) (-.f64 x y))) (/.f64 (*.f64 y y) (*.f64 (+.f64 y #s(literal 1 binary64)) (-.f64 x y))))
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 y #s(literal 1 binary64))) (/.f64 (+.f64 x y) (-.f64 #s(literal -1 binary64) y)))
(-.f64 (/.f64 (/.f64 (*.f64 y y) (-.f64 y x)) (+.f64 y #s(literal 1 binary64))) (/.f64 (/.f64 (*.f64 x x) (-.f64 y x)) (+.f64 y #s(literal 1 binary64))))
(-.f64 (/.f64 (neg.f64 y) (-.f64 #s(literal -1 binary64) y)) (/.f64 x (-.f64 #s(literal -1 binary64) y)))
(-.f64 (/.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) y)) (/.f64 y (-.f64 #s(literal -1 binary64) y)))
(-.f64 (/.f64 (/.f64 (*.f64 x x) (neg.f64 (-.f64 x y))) (-.f64 #s(literal -1 binary64) y)) (/.f64 (/.f64 (*.f64 y y) (neg.f64 (-.f64 x y))) (-.f64 #s(literal -1 binary64) y)))
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (fma.f64 x x (*.f64 y (+.f64 x y))) (-.f64 x y))) (*.f64 (+.f64 y #s(literal 1 binary64)) (fma.f64 x (-.f64 x y) (*.f64 y y)))) (/.f64 (/.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))) (*.f64 (fma.f64 x x (*.f64 y (+.f64 x y))) (-.f64 x y))) (*.f64 (+.f64 y #s(literal 1 binary64)) (fma.f64 x (-.f64 x y) (*.f64 y y)))))
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (fma.f64 x x (*.f64 y (+.f64 x y))) (-.f64 x y))) (*.f64 (neg.f64 (fma.f64 x (-.f64 x y) (*.f64 y y))) (-.f64 #s(literal -1 binary64) y))) (/.f64 (/.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))) (*.f64 (fma.f64 x x (*.f64 y (+.f64 x y))) (-.f64 x y))) (*.f64 (neg.f64 (fma.f64 x (-.f64 x y) (*.f64 y y))) (-.f64 #s(literal -1 binary64) y))))
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (fma.f64 x x (*.f64 y (+.f64 x y))) (-.f64 x y))) (*.f64 (-.f64 #s(literal -1 binary64) y) (neg.f64 (fma.f64 x (-.f64 x y) (*.f64 y y))))) (/.f64 (/.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))) (*.f64 (fma.f64 x x (*.f64 y (+.f64 x y))) (-.f64 x y))) (*.f64 (-.f64 #s(literal -1 binary64) y) (neg.f64 (fma.f64 x (-.f64 x y) (*.f64 y y))))))
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (fma.f64 (*.f64 y y) (fma.f64 x x (*.f64 y y)) (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 (+.f64 y #s(literal 1 binary64)) (-.f64 x y))) (/.f64 (/.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))) (fma.f64 (*.f64 y y) (fma.f64 x x (*.f64 y y)) (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 (+.f64 y #s(literal 1 binary64)) (-.f64 x y))))
(-.f64 (/.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (fma.f64 x x (*.f64 y y))) (*.f64 (+.f64 y #s(literal 1 binary64)) (-.f64 x y))) (/.f64 (/.f64 (*.f64 y (*.f64 y (*.f64 y y))) (fma.f64 x x (*.f64 y y))) (*.f64 (+.f64 y #s(literal 1 binary64)) (-.f64 x y))))
(-.f64 (/.f64 (*.f64 x x) (*.f64 (neg.f64 (-.f64 x y)) (-.f64 #s(literal -1 binary64) y))) (/.f64 (*.f64 y y) (*.f64 (neg.f64 (-.f64 x y)) (-.f64 #s(literal -1 binary64) y))))
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (fma.f64 (*.f64 y y) (fma.f64 x x (*.f64 y y)) (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 (neg.f64 (-.f64 x y)) (-.f64 #s(literal -1 binary64) y))) (/.f64 (/.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))) (fma.f64 (*.f64 y y) (fma.f64 x x (*.f64 y y)) (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 (neg.f64 (-.f64 x y)) (-.f64 #s(literal -1 binary64) y))))
(-.f64 (/.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (fma.f64 x x (*.f64 y y))) (*.f64 (neg.f64 (-.f64 x y)) (-.f64 #s(literal -1 binary64) y))) (/.f64 (/.f64 (*.f64 y (*.f64 y (*.f64 y y))) (fma.f64 x x (*.f64 y y))) (*.f64 (neg.f64 (-.f64 x y)) (-.f64 #s(literal -1 binary64) y))))
(-.f64 (/.f64 (*.f64 x x) (*.f64 (-.f64 #s(literal -1 binary64) y) (neg.f64 (-.f64 x y)))) (/.f64 (*.f64 y y) (*.f64 (-.f64 #s(literal -1 binary64) y) (neg.f64 (-.f64 x y)))))
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (fma.f64 (*.f64 y y) (fma.f64 x x (*.f64 y y)) (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 (-.f64 #s(literal -1 binary64) y) (neg.f64 (-.f64 x y)))) (/.f64 (/.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))) (fma.f64 (*.f64 y y) (fma.f64 x x (*.f64 y y)) (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 (-.f64 #s(literal -1 binary64) y) (neg.f64 (-.f64 x y)))))
(-.f64 (/.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (fma.f64 x x (*.f64 y y))) (*.f64 (-.f64 #s(literal -1 binary64) y) (neg.f64 (-.f64 x y)))) (/.f64 (/.f64 (*.f64 y (*.f64 y (*.f64 y y))) (fma.f64 x x (*.f64 y y))) (*.f64 (-.f64 #s(literal -1 binary64) y) (neg.f64 (-.f64 x y)))))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (+.f64 y #s(literal 1 binary64)) (neg.f64 (fma.f64 x (-.f64 x y) (*.f64 y y))))) (/.f64 (+.f64 x y) (-.f64 #s(literal -1 binary64) y)))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (-.f64 #s(literal -1 binary64) y) (fma.f64 x (-.f64 x y) (*.f64 y y)))) (/.f64 (+.f64 x y) (-.f64 #s(literal -1 binary64) y)))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (*.f64 (+.f64 y #s(literal 1 binary64)) (fma.f64 x (-.f64 x y) (*.f64 y y))))) (/.f64 (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))) (neg.f64 (*.f64 (+.f64 y #s(literal 1 binary64)) (fma.f64 x (-.f64 x y) (*.f64 y y))))))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (+.f64 y #s(literal 1 binary64)) (neg.f64 (-.f64 x y)))) (/.f64 (+.f64 x y) (-.f64 #s(literal -1 binary64) y)))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (-.f64 #s(literal -1 binary64) y) (-.f64 x y))) (/.f64 (+.f64 x y) (-.f64 #s(literal -1 binary64) y)))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (*.f64 (+.f64 y #s(literal 1 binary64)) (-.f64 x y)))) (/.f64 (*.f64 (+.f64 x y) (-.f64 x y)) (neg.f64 (*.f64 (+.f64 y #s(literal 1 binary64)) (-.f64 x y)))))
(-.f64 (/.f64 (/.f64 (fma.f64 y y #s(literal 1 binary64)) (fma.f64 y (*.f64 y y) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x y))) (/.f64 (/.f64 y (fma.f64 y (*.f64 y y) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x y))))
(-.f64 (/.f64 (/.f64 y (fma.f64 y y #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x y))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x y))))
(-.f64 (/.f64 (*.f64 y y) (*.f64 (+.f64 y #s(literal 1 binary64)) (-.f64 y x))) (/.f64 (*.f64 x x) (*.f64 (+.f64 y #s(literal 1 binary64)) (-.f64 y x))))
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(/.f64 (*.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 y y #s(literal 1 binary64)) y))) (-.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y)) #s(literal 1 binary64)) (*.f64 y (*.f64 y y))))
(/.f64 (*.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 y y #s(literal 1 binary64)) y))) (fma.f64 y (*.f64 y y) #s(literal -1 binary64)))
(/.f64 (*.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64)))) (fma.f64 y (*.f64 y (*.f64 y y)) (fma.f64 y y #s(literal 1 binary64))))
(/.f64 (*.f64 (fma.f64 y (*.f64 y (*.f64 y y)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64)))) (fma.f64 y y #s(literal 1 binary64)))
(/.f64 (-.f64 (neg.f64 (*.f64 y y)) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) y))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64))) (*.f64 (/.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 y y)) #s(literal 1 binary64))) (*.f64 (/.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 y y)) (+.f64 y #s(literal -1 binary64))))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (-.f64 (/.f64 y #s(literal 1 binary64)) #s(literal 1 binary64))) (*.f64 (/.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 y y)) #s(literal 1 binary64))) (*.f64 (/.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 y y)) (-.f64 (/.f64 y #s(literal 1 binary64)) #s(literal 1 binary64))))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y)) (*.f64 (/.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 y y)) #s(literal -1 binary64))) (*.f64 (/.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 y y)) (-.f64 #s(literal 1 binary64) y)))
(/.f64 (-.f64 (*.f64 (*.f64 y y) (-.f64 (/.f64 y #s(literal 1 binary64)) #s(literal 1 binary64))) (*.f64 (+.f64 y #s(literal -1 binary64)) #s(literal 1 binary64))) (*.f64 (+.f64 y #s(literal -1 binary64)) (-.f64 (/.f64 y #s(literal 1 binary64)) #s(literal 1 binary64))))
(/.f64 (-.f64 (*.f64 y (*.f64 y (-.f64 #s(literal 1 binary64) y))) (*.f64 (+.f64 y #s(literal -1 binary64)) #s(literal -1 binary64))) (*.f64 (+.f64 y #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) y)))
(/.f64 (-.f64 (*.f64 (neg.f64 (*.f64 y y)) (+.f64 y #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) y)) (*.f64 (-.f64 #s(literal 1 binary64) y) (+.f64 y #s(literal -1 binary64))))
(/.f64 (-.f64 (*.f64 (neg.f64 (*.f64 y y)) (-.f64 (/.f64 y #s(literal 1 binary64)) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) y)) (*.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 (/.f64 y #s(literal 1 binary64)) #s(literal 1 binary64))))
(/.f64 (-.f64 (*.f64 (neg.f64 (*.f64 y y)) (-.f64 #s(literal 1 binary64) y)) (*.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) y)))
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 y y) (+.f64 y #s(literal -1 binary64))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64)))) #s(literal 1 binary64))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y)) (*.f64 y (*.f64 y (-.f64 #s(literal 1 binary64) y)))) (*.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) y)))
(pow.f64 (+.f64 y #s(literal 1 binary64)) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) (*.f64 y y))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64)))
(*.f64 (+.f64 y #s(literal 1 binary64)) #s(literal 1 binary64))
(*.f64 (+.f64 y #s(literal 1 binary64)) (/.f64 (+.f64 y #s(literal -1 binary64)) (+.f64 y #s(literal -1 binary64))))
(*.f64 (+.f64 y #s(literal 1 binary64)) (*.f64 (+.f64 y #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64)))))
(*.f64 (fma.f64 y (*.f64 y y) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 y y #s(literal 1 binary64)) y)))
(*.f64 (fma.f64 y (*.f64 y y) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 y y #s(literal 1 binary64)) y)) #s(literal 1 binary64)))
(*.f64 (fma.f64 y y #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64))))
(*.f64 (fma.f64 y y #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64))) #s(literal 1 binary64)))
(*.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) y))
(*.f64 (fma.f64 (*.f64 y y) (neg.f64 y) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (fma.f64 y y #s(literal 1 binary64)) y))))
(*.f64 (fma.f64 y (neg.f64 y) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y)))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64))) (fma.f64 y y #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal -1 binary64))) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 y y #s(literal 1 binary64)) y)) (fma.f64 y (*.f64 y y) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 y y #s(literal 1 binary64)) y)) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y y) #s(literal 1 binary64))) #s(literal -1 binary64)))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y)))
(*.f64 (/.f64 (fma.f64 y y #s(literal -1 binary64)) (fma.f64 y y #s(literal -1 binary64))) (+.f64 y #s(literal 1 binary64)))
(*.f64 (/.f64 (fma.f64 y (*.f64 y y) #s(literal 1 binary64)) (fma.f64 y (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y y)) (*.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) y))))) (fma.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y y)) (*.f64 y (*.f64 y (*.f64 y y)))))
(*.f64 (/.f64 (fma.f64 y (*.f64 y y) #s(literal 1 binary64)) (*.f64 (-.f64 (fma.f64 y y #s(literal 1 binary64)) y) (+.f64 (fma.f64 y y #s(literal -1 binary64)) y))) (+.f64 (fma.f64 y y #s(literal -1 binary64)) y))
(*.f64 (/.f64 (fma.f64 y y #s(literal -1 binary64)) (fma.f64 y (*.f64 y y) #s(literal -1 binary64))) (fma.f64 y y (+.f64 y #s(literal 1 binary64))))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (-.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y)))) (fma.f64 y y (+.f64 y #s(literal 1 binary64))))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (-.f64 #s(literal 1 binary64) (*.f64 y y))) (+.f64 y #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal -1 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64))))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal -1 binary64))) #s(literal -1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64)))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y y) #s(literal 1 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 y y #s(literal 1 binary64)) y)))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y y) #s(literal 1 binary64))) #s(literal -1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 y y #s(literal 1 binary64)) y))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (fma.f64 y (*.f64 y y) #s(literal 1 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (fma.f64 y y #s(literal 1 binary64)) y))))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (fma.f64 y y #s(literal -1 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y)))
(*.f64 (pow.f64 (pow.f64 (+.f64 y #s(literal 1 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (+.f64 y #s(literal 1 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (-.f64 (fma.f64 y y #s(literal 1 binary64)) y) (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))) #s(literal 1 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y)) #s(literal 1 binary64)) (*.f64 y (*.f64 y y)))))
(*.f64 (pow.f64 (/.f64 (-.f64 (fma.f64 y y #s(literal 1 binary64)) y) (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y)) #s(literal -1 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y y) #s(literal -1 binary64))))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) (neg.f64 y) #s(literal -1 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (fma.f64 y y #s(literal 1 binary64)) y))))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (neg.f64 y) #s(literal 1 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y)))
(*.f64 (pow.f64 (/.f64 (+.f64 y #s(literal -1 binary64)) (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y)) #s(literal -1 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y (*.f64 y y)) (fma.f64 y y #s(literal 1 binary64)))))
(*.f64 (pow.f64 (/.f64 (+.f64 y #s(literal -1 binary64)) (fma.f64 y (*.f64 y (*.f64 y y)) #s(literal -1 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal 1 binary64))))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 y y))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y)))

simplify421.0ms (4.1%)

Memory
9.9MiB live, 568.8MiB allocated
Algorithm
egg-herbie
Rules
12 130×accelerator-lowering-fma.f32
12 130×accelerator-lowering-fma.f64
3 512×+-lowering-+.f64
3 512×+-lowering-+.f32
3 160×--lowering--.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
088362
1263358
2670338
32440308
08253300
Stop Event
iter limit
node limit
Counts
60 → 60
Calls
Call 1
Inputs
(/ y (+ 1 y))
(+ (/ x (+ 1 y)) (/ y (+ 1 y)))
(+ (/ x (+ 1 y)) (/ y (+ 1 y)))
(+ (/ x (+ 1 y)) (/ y (+ 1 y)))
(/ x (+ 1 y))
(* x (+ (/ 1 (+ 1 y)) (/ y (* x (+ 1 y)))))
(* x (+ (/ 1 (+ 1 y)) (/ y (* x (+ 1 y)))))
(* x (+ (/ 1 (+ 1 y)) (/ y (* x (+ 1 y)))))
(/ x (+ 1 y))
(* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y)))))
(* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y)))))
(* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y)))))
x
(+ x (* y (- 1 x)))
(+ x (* y (- (+ 1 (* y (- x 1))) x)))
(+ x (* y (- (+ 1 (* y (- (+ x (* y (- 1 x))) 1))) x)))
1
(- (+ 1 (/ x y)) (/ 1 y))
(- (+ 1 (+ (/ 1 (pow y 2)) (/ x y))) (+ (/ 1 y) (/ x (pow y 2))))
(- (+ 1 (+ (/ 1 (pow y 2)) (+ (/ x y) (/ x (pow y 3))))) (+ (/ 1 y) (+ (/ 1 (pow y 3)) (/ x (pow y 2)))))
1
(+ 1 (* -1 (/ (+ 1 (* -1 x)) y)))
(+ 1 (* -1 (/ (+ 1 (+ (* -1 x) (* -1 (/ (+ 1 (* -1 x)) y)))) y)))
(+ 1 (* -1 (/ (+ 1 (+ (* -1 x) (* -1 (/ (- (* -1 (/ (+ 1 (* -1 x)) y)) (* -1 (+ 1 (* -1 x)))) y)))) y)))
y
(+ x y)
(+ x y)
(+ x y)
x
(* x (+ 1 (/ y x)))
(* x (+ 1 (/ y x)))
(* x (+ 1 (/ y x)))
x
(* -1 (* x (- (* -1 (/ y x)) 1)))
(* -1 (* x (- (* -1 (/ y x)) 1)))
(* -1 (* x (- (* -1 (/ y x)) 1)))
x
(+ x y)
(+ x y)
(+ x y)
y
(* y (+ 1 (/ x y)))
(* y (+ 1 (/ x y)))
(* y (+ 1 (/ x y)))
y
(* -1 (* y (- (* -1 (/ x y)) 1)))
(* -1 (* y (- (* -1 (/ x y)) 1)))
(* -1 (* y (- (* -1 (/ x y)) 1)))
1
(+ 1 y)
(+ 1 y)
(+ 1 y)
y
(* y (+ 1 (/ 1 y)))
(* y (+ 1 (/ 1 y)))
(* y (+ 1 (/ 1 y)))
y
(* y (+ 1 (/ 1 y)))
(* y (+ 1 (/ 1 y)))
(* y (+ 1 (/ 1 y)))
Outputs
(/ y (+ 1 y))
(/.f64 y (+.f64 y #s(literal 1 binary64)))
(+ (/ x (+ 1 y)) (/ y (+ 1 y)))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))) (+.f64 y x))
(+ (/ x (+ 1 y)) (/ y (+ 1 y)))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))) (+.f64 y x))
(+ (/ x (+ 1 y)) (/ y (+ 1 y)))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))) (+.f64 y x))
(/ x (+ 1 y))
(/.f64 x (+.f64 y #s(literal 1 binary64)))
(* x (+ (/ 1 (+ 1 y)) (/ y (* x (+ 1 y)))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))) (+.f64 y x))
(* x (+ (/ 1 (+ 1 y)) (/ y (* x (+ 1 y)))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))) (+.f64 y x))
(* x (+ (/ 1 (+ 1 y)) (/ y (* x (+ 1 y)))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))) (+.f64 y x))
(/ x (+ 1 y))
(/.f64 x (+.f64 y #s(literal 1 binary64)))
(* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y)))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))) (+.f64 y x))
(* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y)))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))) (+.f64 y x))
(* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y)))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))) (+.f64 y x))
x
(+ x (* y (- 1 x)))
(fma.f64 y (-.f64 #s(literal 1 binary64) x) x)
(+ x (* y (- (+ 1 (* y (- x 1))) x)))
(fma.f64 (-.f64 (*.f64 y x) y) (+.f64 y #s(literal -1 binary64)) x)
(+ x (* y (- (+ 1 (* y (- (+ x (* y (- 1 x))) 1))) x)))
(fma.f64 y (fma.f64 (-.f64 y (*.f64 y x)) (+.f64 y #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) x)) x)
1
#s(literal 1 binary64)
(- (+ 1 (/ x y)) (/ 1 y))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) y))
(- (+ 1 (+ (/ 1 (pow y 2)) (/ x y))) (+ (/ 1 y) (/ x (pow y 2))))
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) x) y))) y))
(- (+ 1 (+ (/ 1 (pow y 2)) (+ (/ x y) (/ x (pow y 3))))) (+ (/ 1 y) (+ (/ 1 (pow y 3)) (/ x (pow y 2)))))
(+.f64 (+.f64 #s(literal 1 binary64) (/.f64 x (*.f64 y (*.f64 y y)))) (-.f64 (/.f64 (+.f64 x (+.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) y))) y) (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y)))))
1
#s(literal 1 binary64)
(+ 1 (* -1 (/ (+ 1 (* -1 x)) y)))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) y))
(+ 1 (* -1 (/ (+ 1 (+ (* -1 x) (* -1 (/ (+ 1 (* -1 x)) y)))) y)))
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) x) y))) y))
(+ 1 (* -1 (/ (+ 1 (+ (* -1 x) (* -1 (/ (- (* -1 (/ (+ 1 (* -1 x)) y)) (* -1 (+ 1 (* -1 x)))) y)))) y)))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 x (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) #s(literal -1 binary64))) y))
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
#s(literal 1 binary64)
(+ 1 y)
(+.f64 y #s(literal 1 binary64))
(+ 1 y)
(+.f64 y #s(literal 1 binary64))
(+ 1 y)
(+.f64 y #s(literal 1 binary64))
y
(* y (+ 1 (/ 1 y)))
(+.f64 y #s(literal 1 binary64))
(* y (+ 1 (/ 1 y)))
(+.f64 y #s(literal 1 binary64))
(* y (+ 1 (/ 1 y)))
(+.f64 y #s(literal 1 binary64))
y
(* y (+ 1 (/ 1 y)))
(+.f64 y #s(literal 1 binary64))
(* y (+ 1 (/ 1 y)))
(+.f64 y #s(literal 1 binary64))
(* y (+ 1 (/ 1 y)))
(+.f64 y #s(literal 1 binary64))

eval60.0ms (0.6%)

Memory
-27.2MiB live, 129.2MiB allocated
Compiler

Compiled 12 712 to 1 478 computations (88.4% saved)

prune73.0ms (0.7%)

Memory
5.9MiB live, 175.7MiB allocated
Pruning

11 alts after pruning (10 fresh and 1 done)

PrunedKeptTotal
New52110531
Fresh000
Picked011
Done000
Total52111532
Accuracy
100.0%
Counts
532 → 11
Alt Table
Click to see full alt table
StatusAccuracyProgram
54.4%
(fma.f64 (-.f64 (*.f64 y x) y) (+.f64 y #s(literal -1 binary64)) x)
54.5%
(fma.f64 y (fma.f64 (-.f64 y (*.f64 y x)) (+.f64 y #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) x)) x)
54.1%
(fma.f64 y (-.f64 #s(literal 1 binary64) x) x)
100.0%
(/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64)))
47.2%
(/.f64 (+.f64 x y) y)
74.2%
(/.f64 (*.f64 (+.f64 x y) (+.f64 y #s(literal -1 binary64))) (fma.f64 y y #s(literal -1 binary64)))
49.2%
(/.f64 y (+.f64 y #s(literal 1 binary64)))
52.2%
(/.f64 x (+.f64 y #s(literal 1 binary64)))
46.8%
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) y))
39.6%
x
34.0%
#s(literal 1 binary64)
Compiler

Compiled 183 to 118 computations (35.5% saved)

simplify363.0ms (3.6%)

Memory
14.4MiB live, 529.2MiB allocated
Algorithm
egg-herbie
Localize:

Found 11 expressions of interest:

NewMetricScoreProgram
cost-diff0
(+.f64 x #s(literal -1 binary64))
cost-diff0
(/.f64 (+.f64 x #s(literal -1 binary64)) y)
cost-diff0
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) y))
cost-diff0
(+.f64 y #s(literal 1 binary64))
cost-diff0
(/.f64 y (+.f64 y #s(literal 1 binary64)))
cost-diff0
(-.f64 #s(literal 1 binary64) x)
cost-diff0
(fma.f64 y (-.f64 #s(literal 1 binary64) x) x)
cost-diff0
(+.f64 y #s(literal -1 binary64))
cost-diff0
(+.f64 x y)
cost-diff0
(*.f64 (+.f64 x y) (+.f64 y #s(literal -1 binary64)))
cost-diff704
(/.f64 (*.f64 (+.f64 x y) (+.f64 y #s(literal -1 binary64))) (fma.f64 y y #s(literal -1 binary64)))
Rules
14 186×accelerator-lowering-fma.f32
14 186×accelerator-lowering-fma.f64
3 446×+-lowering-+.f64
3 446×+-lowering-+.f32
2 718×*-lowering-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01877
14177
29173
321371
445371
5153471
6757071
0810569
Stop Event
iter limit
node limit
Calls
Call 1
Inputs
(/ (* (+ x y) (+ y -1)) (+ (* y y) -1))
(* (+ x y) (+ y -1))
(+ x y)
x
y
(+ y -1)
-1
(+ (* y y) -1)
1
(+ (* y (- 1 x)) x)
y
(- 1 x)
1
x
(/ y (+ y 1))
y
(+ y 1)
1
(+ 1 (/ (+ x -1) y))
1
(/ (+ x -1) y)
(+ x -1)
x
-1
y
Outputs
(/ (* (+ x y) (+ y -1)) (+ (* y y) -1))
(/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64)))
(* (+ x y) (+ y -1))
(*.f64 (+.f64 x y) (+.f64 y #s(literal -1 binary64)))
(+ x y)
(+.f64 x y)
x
y
(+ y -1)
(+.f64 y #s(literal -1 binary64))
-1
#s(literal -1 binary64)
(+ (* y y) -1)
(fma.f64 y y #s(literal -1 binary64))
1
#s(literal 1 binary64)
(+ (* y (- 1 x)) x)
(fma.f64 x (-.f64 #s(literal 1 binary64) y) y)
y
(- 1 x)
(-.f64 #s(literal 1 binary64) x)
1
#s(literal 1 binary64)
x
(/ y (+ y 1))
(/.f64 y (+.f64 y #s(literal 1 binary64)))
y
(+ y 1)
(+.f64 y #s(literal 1 binary64))
1
#s(literal 1 binary64)
(+ 1 (/ (+ x -1) y))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) y))
1
#s(literal 1 binary64)
(/ (+ x -1) y)
(/.f64 (+.f64 x #s(literal -1 binary64)) y)
(+ x -1)
(+.f64 x #s(literal -1 binary64))
x
-1
#s(literal -1 binary64)
y

localize197.0ms (1.9%)

Memory
13.9MiB live, 91.1MiB allocated
Localize:

Found 11 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(+.f64 x #s(literal -1 binary64))
accuracy100.0%
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) y))
accuracy100.0%
(/.f64 (+.f64 x #s(literal -1 binary64)) y)
accuracy100.0%
(+.f64 y #s(literal 1 binary64))
accuracy100.0%
(/.f64 y (+.f64 y #s(literal 1 binary64)))
accuracy100.0%
(-.f64 #s(literal 1 binary64) x)
accuracy100.0%
(fma.f64 y (-.f64 #s(literal 1 binary64) x) x)
accuracy100.0%
(+.f64 y #s(literal -1 binary64))
accuracy100.0%
(+.f64 x y)
accuracy100.0%
(*.f64 (+.f64 x y) (+.f64 y #s(literal -1 binary64)))
accuracy75.0%
(/.f64 (*.f64 (+.f64 x y) (+.f64 y #s(literal -1 binary64))) (fma.f64 y y #s(literal -1 binary64)))
Samples
177.0ms256×0valid
Compiler

Compiled 76 to 20 computations (73.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 165.0ms
ival-add: 153.0ms (92.9% of total)
ival-div: 5.0ms (3% of total)
ival-mult: 5.0ms (3% of total)
ival-sub: 1.0ms (0.6% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series26.0ms (0.3%)

Memory
-21.2MiB live, 16.7MiB allocated
Counts
11 → 204
Calls
Call 1
Inputs
#<alt (/ (* (+ x y) (+ y -1)) (+ (* y y) -1))>
#<alt (* (+ x y) (+ y -1))>
#<alt (+ x y)>
#<alt (+ y -1)>
#<alt (+ (* y (- 1 x)) x)>
#<alt (- 1 x)>
#<alt (/ y (+ y 1))>
#<alt (+ y 1)>
#<alt (+ 1 (/ (+ x -1) y))>
#<alt (/ (+ x -1) y)>
#<alt (+ x -1)>
Outputs
#<alt (/ (* y (- y 1)) (- (pow y 2) 1))>
#<alt (+ (* x (- (/ y (- (pow y 2) 1)) (/ 1 (- (pow y 2) 1)))) (/ (* y (- y 1)) (- (pow y 2) 1)))>
#<alt (+ (* x (- (/ y (- (pow y 2) 1)) (/ 1 (- (pow y 2) 1)))) (/ (* y (- y 1)) (- (pow y 2) 1)))>
#<alt (+ (* x (- (/ y (- (pow y 2) 1)) (/ 1 (- (pow y 2) 1)))) (/ (* y (- y 1)) (- (pow y 2) 1)))>
#<alt (/ (* x (- y 1)) (- (pow y 2) 1))>
#<alt (* x (- (+ (/ y (- (pow y 2) 1)) (/ (* y (- y 1)) (* x (- (pow y 2) 1)))) (/ 1 (- (pow y 2) 1))))>
#<alt (* x (- (+ (/ y (- (pow y 2) 1)) (/ (* y (- y 1)) (* x (- (pow y 2) 1)))) (/ 1 (- (pow y 2) 1))))>
#<alt (* x (- (+ (/ y (- (pow y 2) 1)) (/ (* y (- y 1)) (* x (- (pow y 2) 1)))) (/ 1 (- (pow y 2) 1))))>
#<alt (/ (* x (- y 1)) (- (pow y 2) 1))>
#<alt (* -1 (* x (+ (* -1 (/ (* y (- y 1)) (* x (- (pow y 2) 1)))) (* -1 (/ (- y 1) (- (pow y 2) 1))))))>
#<alt (* -1 (* x (+ (* -1 (/ (* y (- y 1)) (* x (- (pow y 2) 1)))) (* -1 (/ (- y 1) (- (pow y 2) 1))))))>
#<alt (* -1 (* x (+ (* -1 (/ (* y (- y 1)) (* x (- (pow y 2) 1)))) (* -1 (/ (- y 1) (- (pow y 2) 1))))))>
#<alt x>
#<alt (+ x (* -1 (* y (- x 1))))>
#<alt (+ x (* y (+ (* -1 (* y (+ 1 (* -1 x)))) (* -1 (- x 1)))))>
#<alt (+ x (* y (+ (* -1 (- x 1)) (* y (- (* y (- 1 x)) (+ 1 (* -1 x)))))))>
#<alt 1>
#<alt (- (+ 1 (/ x y)) (/ 1 y))>
#<alt (- (+ 1 (+ (* -1 (/ x (pow y 2))) (+ (/ 1 (pow y 2)) (/ x y)))) (/ 1 y))>
#<alt (- (+ 1 (+ (* -1 (/ x (pow y 2))) (+ (/ 1 (pow y 2)) (+ (/ x y) (/ x (pow y 3)))))) (+ (/ 1 y) (/ 1 (pow y 3))))>
#<alt 1>
#<alt (- (+ 1 (/ x y)) (/ 1 y))>
#<alt (+ 1 (* -1 (/ (- (+ (* -1 (- x 1)) (/ x y)) (/ 1 y)) y)))>
#<alt (+ 1 (* -1 (/ (+ (* -1 (- x 1)) (* -1 (/ (- (+ (* -1 (- x 1)) (/ x y)) (/ 1 y)) y))) y)))>
#<alt (* y (- y 1))>
#<alt (+ (* x (- y 1)) (* y (- y 1)))>
#<alt (+ (* x (- y 1)) (* y (- y 1)))>
#<alt (+ (* x (- y 1)) (* y (- y 1)))>
#<alt (* x (- y 1))>
#<alt (* x (- (+ y (/ (* y (- y 1)) x)) 1))>
#<alt (* x (- (+ y (/ (* y (- y 1)) x)) 1))>
#<alt (* x (- (+ y (/ (* y (- y 1)) x)) 1))>
#<alt (* x (- y 1))>
#<alt (* -1 (* x (+ (* -1 (- y 1)) (* -1 (/ (* y (- y 1)) x)))))>
#<alt (* -1 (* x (+ (* -1 (- y 1)) (* -1 (/ (* y (- y 1)) x)))))>
#<alt (* -1 (* x (+ (* -1 (- y 1)) (* -1 (/ (* y (- y 1)) x)))))>
#<alt (* -1 x)>
#<alt (+ (* -1 x) (* y (- x 1)))>
#<alt (+ (* -1 x) (* y (- (+ x y) 1)))>
#<alt (+ (* -1 x) (* y (- (+ x y) 1)))>
#<alt (pow y 2)>
#<alt (* (pow y 2) (- (+ 1 (/ x y)) (/ 1 y)))>
#<alt (* (pow y 2) (- (+ 1 (+ (* -1 (/ x (pow y 2))) (/ x y))) (/ 1 y)))>
#<alt (* (pow y 2) (- (+ 1 (+ (* -1 (/ x (pow y 2))) (/ x y))) (/ 1 y)))>
#<alt (pow y 2)>
#<alt (* (pow y 2) (- (+ 1 (/ x y)) (/ 1 y)))>
#<alt (* (pow y 2) (+ 1 (* -1 (/ (+ (* -1 (- x 1)) (/ x y)) y))))>
#<alt (* (pow y 2) (+ 1 (* -1 (/ (+ (* -1 (- x 1)) (/ x y)) y))))>
#<alt y>
#<alt (+ x y)>
#<alt (+ x y)>
#<alt (+ x y)>
#<alt x>
#<alt (* x (+ 1 (/ y x)))>
#<alt (* x (+ 1 (/ y x)))>
#<alt (* x (+ 1 (/ y x)))>
#<alt x>
#<alt (* -1 (* x (- (* -1 (/ y x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ y x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ y x)) 1)))>
#<alt x>
#<alt (+ x y)>
#<alt (+ x y)>
#<alt (+ x y)>
#<alt y>
#<alt (* y (+ 1 (/ x y)))>
#<alt (* y (+ 1 (/ x y)))>
#<alt (* y (+ 1 (/ x y)))>
#<alt y>
#<alt (* -1 (* y (- (* -1 (/ x y)) 1)))>
#<alt (* -1 (* y (- (* -1 (/ x y)) 1)))>
#<alt (* -1 (* y (- (* -1 (/ x y)) 1)))>
#<alt -1>
#<alt (- y 1)>
#<alt (- y 1)>
#<alt (- y 1)>
#<alt y>
#<alt (* y (- 1 (/ 1 y)))>
#<alt (* y (- 1 (/ 1 y)))>
#<alt (* y (- 1 (/ 1 y)))>
#<alt y>
#<alt (* -1 (* y (- (/ 1 y) 1)))>
#<alt (* -1 (* y (- (/ 1 y) 1)))>
#<alt (* -1 (* y (- (/ 1 y) 1)))>
#<alt x>
#<alt (+ x (* y (- 1 x)))>
#<alt (+ x (* y (- 1 x)))>
#<alt (+ x (* y (- 1 x)))>
#<alt (* y (- 1 x))>
#<alt (* y (- (+ 1 (/ x y)) x))>
#<alt (* y (- (+ 1 (/ x y)) x))>
#<alt (* y (- (+ 1 (/ x y)) x))>
#<alt (* y (- 1 x))>
#<alt (* -1 (* y (+ (* -1 (- 1 x)) (* -1 (/ x y)))))>
#<alt (* -1 (* y (+ (* -1 (- 1 x)) (* -1 (/ x y)))))>
#<alt (* -1 (* y (+ (* -1 (- 1 x)) (* -1 (/ x y)))))>
#<alt y>
#<alt (+ y (* x (+ 1 (* -1 y))))>
#<alt (+ y (* x (+ 1 (* -1 y))))>
#<alt (+ y (* x (+ 1 (* -1 y))))>
#<alt (* x (+ 1 (* -1 y)))>
#<alt (* x (+ 1 (+ (* -1 y) (/ y x))))>
#<alt (* x (+ 1 (+ (* -1 y) (/ y x))))>
#<alt (* x (+ 1 (+ (* -1 y) (/ y x))))>
#<alt (* -1 (* x (- y 1)))>
#<alt (* -1 (* x (- (+ y (* -1 (/ y x))) 1)))>
#<alt (* -1 (* x (- (+ y (* -1 (/ y x))) 1)))>
#<alt (* -1 (* x (- (+ y (* -1 (/ y x))) 1)))>
#<alt 1>
#<alt (+ 1 (* -1 x))>
#<alt (+ 1 (* -1 x))>
#<alt (+ 1 (* -1 x))>
#<alt (* -1 x)>
#<alt (* x (- (/ 1 x) 1))>
#<alt (* x (- (/ 1 x) 1))>
#<alt (* x (- (/ 1 x) 1))>
#<alt (* -1 x)>
#<alt (* -1 (* x (- 1 (/ 1 x))))>
#<alt (* -1 (* x (- 1 (/ 1 x))))>
#<alt (* -1 (* x (- 1 (/ 1 x))))>
#<alt y>
#<alt (* y (+ 1 (* -1 y)))>
#<alt (* y (+ 1 (* y (- y 1))))>
#<alt (* y (+ 1 (* y (- (* y (+ 1 (* -1 y))) 1))))>
#<alt 1>
#<alt (- 1 (/ 1 y))>
#<alt (- (+ 1 (/ 1 (pow y 2))) (/ 1 y))>
#<alt (- (+ 1 (/ 1 (pow y 2))) (+ (/ 1 y) (/ 1 (pow y 3))))>
#<alt 1>
#<alt (- 1 (/ 1 y))>
#<alt (+ 1 (* -1 (/ (- 1 (/ 1 y)) y)))>
#<alt (+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 y)) y))) y)))>
#<alt 1>
#<alt (+ 1 y)>
#<alt (+ 1 y)>
#<alt (+ 1 y)>
#<alt y>
#<alt (* y (+ 1 (/ 1 y)))>
#<alt (* y (+ 1 (/ 1 y)))>
#<alt (* y (+ 1 (/ 1 y)))>
#<alt y>
#<alt (* y (+ 1 (/ 1 y)))>
#<alt (* y (+ 1 (/ 1 y)))>
#<alt (* y (+ 1 (/ 1 y)))>
#<alt (- 1 (/ 1 y))>
#<alt (- (+ 1 (/ x y)) (/ 1 y))>
#<alt (- (+ 1 (/ x y)) (/ 1 y))>
#<alt (- (+ 1 (/ x y)) (/ 1 y))>
#<alt (/ x y)>
#<alt (* x (- (+ (/ 1 x) (/ 1 y)) (/ 1 (* x y))))>
#<alt (* x (- (+ (/ 1 x) (/ 1 y)) (/ 1 (* x y))))>
#<alt (* x (- (+ (/ 1 x) (/ 1 y)) (/ 1 (* x y))))>
#<alt (/ x y)>
#<alt (* -1 (* x (- (* -1 (/ (- 1 (/ 1 y)) x)) (/ 1 y))))>
#<alt (* -1 (* x (- (* -1 (/ (- 1 (/ 1 y)) x)) (/ 1 y))))>
#<alt (* -1 (* x (- (* -1 (/ (- 1 (/ 1 y)) x)) (/ 1 y))))>
#<alt (/ (- x 1) y)>
#<alt (/ (- (+ x y) 1) y)>
#<alt (/ (- (+ x y) 1) y)>
#<alt (/ (- (+ x y) 1) y)>
#<alt 1>
#<alt (- (+ 1 (/ x y)) (/ 1 y))>
#<alt (- (+ 1 (/ x y)) (/ 1 y))>
#<alt (- (+ 1 (/ x y)) (/ 1 y))>
#<alt 1>
#<alt (- (+ 1 (/ x y)) (/ 1 y))>
#<alt (- (+ 1 (/ x y)) (/ 1 y))>
#<alt (- (+ 1 (/ x y)) (/ 1 y))>
#<alt (/ -1 y)>
#<alt (- (/ x y) (/ 1 y))>
#<alt (- (/ x y) (/ 1 y))>
#<alt (- (/ x y) (/ 1 y))>
#<alt (/ x y)>
#<alt (* x (- (/ 1 y) (/ 1 (* x y))))>
#<alt (* x (- (/ 1 y) (/ 1 (* x y))))>
#<alt (* x (- (/ 1 y) (/ 1 (* x y))))>
#<alt (/ x y)>
#<alt (* -1 (* x (- (/ 1 (* x y)) (/ 1 y))))>
#<alt (* -1 (* x (- (/ 1 (* x y)) (/ 1 y))))>
#<alt (* -1 (* x (- (/ 1 (* x y)) (/ 1 y))))>
#<alt (/ (- x 1) y)>
#<alt (/ (- x 1) y)>
#<alt (/ (- x 1) y)>
#<alt (/ (- x 1) y)>
#<alt (/ (- x 1) y)>
#<alt (/ (- x 1) y)>
#<alt (/ (- x 1) y)>
#<alt (/ (- x 1) y)>
#<alt (/ (- x 1) y)>
#<alt (/ (- x 1) y)>
#<alt (/ (- x 1) y)>
#<alt (/ (- x 1) y)>
#<alt -1>
#<alt (- x 1)>
#<alt (- x 1)>
#<alt (- x 1)>
#<alt x>
#<alt (* x (- 1 (/ 1 x)))>
#<alt (* x (- 1 (/ 1 x)))>
#<alt (* x (- 1 (/ 1 x)))>
#<alt x>
#<alt (* -1 (* x (- (/ 1 x) 1)))>
#<alt (* -1 (* x (- (/ 1 x) 1)))>
#<alt (* -1 (* x (- (/ 1 x) 1)))>
Calls

51 calls:

TimeVariablePointExpression
14.0ms
y
@0
(/ (* (+ x y) (+ y -1)) (+ (* y y) -1))
1.0ms
x
@0
(+ 1 (/ (+ x -1) y))
1.0ms
x
@-inf
(/ (* (+ x y) (+ y -1)) (+ (* y y) -1))
1.0ms
x
@0
(/ (* (+ x y) (+ y -1)) (+ (* y y) -1))
0.0ms
x
@inf
(/ (* (+ x y) (+ y -1)) (+ (* y y) -1))

rewrite555.0ms (5.4%)

Memory
-2.1MiB live, 610.7MiB allocated
Algorithm
batch-egg-rewrite
Rules
5 040×/-lowering-/.f32
5 040×/-lowering-/.f64
4 134×accelerator-lowering-fma.f32
4 134×accelerator-lowering-fma.f64
3 958×*-lowering-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01859
113955
2129853
0832452
Stop Event
iter limit
node limit
Counts
11 → 666
Calls
Call 1
Inputs
(/ (* (+ x y) (+ y -1)) (+ (* y y) -1))
(* (+ x y) (+ y -1))
(+ x y)
(+ y -1)
(+ (* y (- 1 x)) x)
(- 1 x)
(/ y (+ y 1))
(+ y 1)
(+ 1 (/ (+ x -1) y))
(/ (+ x -1) y)
(+ x -1)
Outputs
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 y #s(literal 1 binary64)) (+.f64 x y))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 (+.f64 x y) (+.f64 y #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 y y))))
(-.f64 #s(literal 0 binary64) (/.f64 (neg.f64 (*.f64 (+.f64 x y) (+.f64 y #s(literal -1 binary64)))) (fma.f64 y y #s(literal -1 binary64))))
(-.f64 (/.f64 (/.f64 (*.f64 x x) (-.f64 x y)) (+.f64 y #s(literal 1 binary64))) (/.f64 (/.f64 (*.f64 y y) (-.f64 x y)) (+.f64 y #s(literal 1 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (*.f64 y y))) (/.f64 (*.f64 (+.f64 x y) (+.f64 y #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 y y))))
(neg.f64 (/.f64 (*.f64 (+.f64 x y) (+.f64 y #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 y y))))
(neg.f64 (/.f64 (neg.f64 (*.f64 (+.f64 x y) (+.f64 y #s(literal -1 binary64)))) (fma.f64 y y #s(literal -1 binary64))))
(/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 y #s(literal 1 binary64)) (+.f64 x y))))
(/.f64 (*.f64 (+.f64 x y) (+.f64 y #s(literal -1 binary64))) (fma.f64 y y #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 y #s(literal 1 binary64)) (+.f64 x y)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (+.f64 y #s(literal 1 binary64)) (+.f64 x y)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 x x (*.f64 y (-.f64 y x))) (fma.f64 y y #s(literal -1 binary64))) (*.f64 (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))) (+.f64 y #s(literal -1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 x y) (fma.f64 y y #s(literal -1 binary64))) (*.f64 (*.f64 (+.f64 x y) (-.f64 x y)) (+.f64 y #s(literal -1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y y #s(literal -1 binary64)) (*.f64 (*.f64 (+.f64 x y) (+.f64 y #s(literal -1 binary64))) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x (*.f64 y (-.f64 y x))) (/.f64 (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))) (+.f64 y #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (/.f64 (*.f64 (+.f64 x y) (-.f64 x y)) (+.f64 y #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 y #s(literal -1 binary64)) (/.f64 (*.f64 (+.f64 x y) (+.f64 y #s(literal -1 binary64))) (+.f64 y #s(literal 1 binary64)))))
(/.f64 (neg.f64 (*.f64 (+.f64 x y) (+.f64 y #s(literal -1 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 y y)))
(/.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) y)) (/.f64 #s(literal 1 binary64) (+.f64 x y)))
(/.f64 (-.f64 (neg.f64 y) x) (-.f64 #s(literal -1 binary64) y))
(/.f64 (*.f64 (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))) (+.f64 y #s(literal -1 binary64))) (*.f64 (fma.f64 x x (*.f64 y (-.f64 y x))) (fma.f64 y y #s(literal -1 binary64))))
(/.f64 (*.f64 (*.f64 (+.f64 x y) (-.f64 x y)) (+.f64 y #s(literal -1 binary64))) (*.f64 (-.f64 x y) (fma.f64 y y #s(literal -1 binary64))))
(/.f64 (neg.f64 (neg.f64 (*.f64 (+.f64 x y) (+.f64 y #s(literal -1 binary64))))) (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y))))
(/.f64 (*.f64 (*.f64 (+.f64 x y) (+.f64 y #s(literal -1 binary64))) #s(literal 1 binary64)) (fma.f64 y y #s(literal -1 binary64)))
(/.f64 (/.f64 (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))) (+.f64 y #s(literal 1 binary64))) (fma.f64 x x (*.f64 y (-.f64 y x))))
(/.f64 (/.f64 (*.f64 (+.f64 x y) (-.f64 x y)) (+.f64 y #s(literal 1 binary64))) (-.f64 x y))
(/.f64 (/.f64 (*.f64 (+.f64 x y) (+.f64 y #s(literal -1 binary64))) (+.f64 y #s(literal 1 binary64))) (+.f64 y #s(literal -1 binary64)))
(/.f64 (neg.f64 (*.f64 (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))) (+.f64 y #s(literal -1 binary64)))) (neg.f64 (*.f64 (fma.f64 x x (*.f64 y (-.f64 y x))) (fma.f64 y y #s(literal -1 binary64)))))
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(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 x x) (+.f64 x #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 x x) (+.f64 x #s(literal 1 binary64))) (/.f64 (*.f64 x x) (+.f64 x #s(literal 1 binary64))) (fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (*.f64 (/.f64 (*.f64 x x) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))))))
(pow.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64)))
(*.f64 (fma.f64 x (*.f64 x x) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x x (+.f64 x #s(literal 1 binary64)))))
(*.f64 (fma.f64 x (*.f64 x x) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 x x) (neg.f64 x)))))
(*.f64 (fma.f64 x x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) x)))
(*.f64 (neg.f64 (fma.f64 x (*.f64 x x) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 x x (+.f64 x #s(literal 1 binary64))))))
(*.f64 (neg.f64 (fma.f64 x x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 x #s(literal 1 binary64)))))

simplify942.0ms (9.2%)

Memory
-7.7MiB live, 553.5MiB allocated
Algorithm
egg-herbie
Rules
13 644×accelerator-lowering-fma.f32
13 644×accelerator-lowering-fma.f64
3 090×*-lowering-*.f32
3 090×*-lowering-*.f64
2 796×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01821315
15501173
216091125
359331102
081991077
Stop Event
iter limit
node limit
Counts
204 → 204
Calls
Call 1
Inputs
(/ (* y (- y 1)) (- (pow y 2) 1))
(+ (* x (- (/ y (- (pow y 2) 1)) (/ 1 (- (pow y 2) 1)))) (/ (* y (- y 1)) (- (pow y 2) 1)))
(+ (* x (- (/ y (- (pow y 2) 1)) (/ 1 (- (pow y 2) 1)))) (/ (* y (- y 1)) (- (pow y 2) 1)))
(+ (* x (- (/ y (- (pow y 2) 1)) (/ 1 (- (pow y 2) 1)))) (/ (* y (- y 1)) (- (pow y 2) 1)))
(/ (* x (- y 1)) (- (pow y 2) 1))
(* x (- (+ (/ y (- (pow y 2) 1)) (/ (* y (- y 1)) (* x (- (pow y 2) 1)))) (/ 1 (- (pow y 2) 1))))
(* x (- (+ (/ y (- (pow y 2) 1)) (/ (* y (- y 1)) (* x (- (pow y 2) 1)))) (/ 1 (- (pow y 2) 1))))
(* x (- (+ (/ y (- (pow y 2) 1)) (/ (* y (- y 1)) (* x (- (pow y 2) 1)))) (/ 1 (- (pow y 2) 1))))
(/ (* x (- y 1)) (- (pow y 2) 1))
(* -1 (* x (+ (* -1 (/ (* y (- y 1)) (* x (- (pow y 2) 1)))) (* -1 (/ (- y 1) (- (pow y 2) 1))))))
(* -1 (* x (+ (* -1 (/ (* y (- y 1)) (* x (- (pow y 2) 1)))) (* -1 (/ (- y 1) (- (pow y 2) 1))))))
(* -1 (* x (+ (* -1 (/ (* y (- y 1)) (* x (- (pow y 2) 1)))) (* -1 (/ (- y 1) (- (pow y 2) 1))))))
x
(+ x (* -1 (* y (- x 1))))
(+ x (* y (+ (* -1 (* y (+ 1 (* -1 x)))) (* -1 (- x 1)))))
(+ x (* y (+ (* -1 (- x 1)) (* y (- (* y (- 1 x)) (+ 1 (* -1 x)))))))
1
(- (+ 1 (/ x y)) (/ 1 y))
(- (+ 1 (+ (* -1 (/ x (pow y 2))) (+ (/ 1 (pow y 2)) (/ x y)))) (/ 1 y))
(- (+ 1 (+ (* -1 (/ x (pow y 2))) (+ (/ 1 (pow y 2)) (+ (/ x y) (/ x (pow y 3)))))) (+ (/ 1 y) (/ 1 (pow y 3))))
1
(- (+ 1 (/ x y)) (/ 1 y))
(+ 1 (* -1 (/ (- (+ (* -1 (- x 1)) (/ x y)) (/ 1 y)) y)))
(+ 1 (* -1 (/ (+ (* -1 (- x 1)) (* -1 (/ (- (+ (* -1 (- x 1)) (/ x y)) (/ 1 y)) y))) y)))
(* y (- y 1))
(+ (* x (- y 1)) (* y (- y 1)))
(+ (* x (- y 1)) (* y (- y 1)))
(+ (* x (- y 1)) (* y (- y 1)))
(* x (- y 1))
(* x (- (+ y (/ (* y (- y 1)) x)) 1))
(* x (- (+ y (/ (* y (- y 1)) x)) 1))
(* x (- (+ y (/ (* y (- y 1)) x)) 1))
(* x (- y 1))
(* -1 (* x (+ (* -1 (- y 1)) (* -1 (/ (* y (- y 1)) x)))))
(* -1 (* x (+ (* -1 (- y 1)) (* -1 (/ (* y (- y 1)) x)))))
(* -1 (* x (+ (* -1 (- y 1)) (* -1 (/ (* y (- y 1)) x)))))
(* -1 x)
(+ (* -1 x) (* y (- x 1)))
(+ (* -1 x) (* y (- (+ x y) 1)))
(+ (* -1 x) (* y (- (+ x y) 1)))
(pow y 2)
(* (pow y 2) (- (+ 1 (/ x y)) (/ 1 y)))
(* (pow y 2) (- (+ 1 (+ (* -1 (/ x (pow y 2))) (/ x y))) (/ 1 y)))
(* (pow y 2) (- (+ 1 (+ (* -1 (/ x (pow y 2))) (/ x y))) (/ 1 y)))
(pow y 2)
(* (pow y 2) (- (+ 1 (/ x y)) (/ 1 y)))
(* (pow y 2) (+ 1 (* -1 (/ (+ (* -1 (- x 1)) (/ x y)) y))))
(* (pow y 2) (+ 1 (* -1 (/ (+ (* -1 (- x 1)) (/ x y)) y))))
y
(+ x y)
(+ x y)
(+ x y)
x
(* x (+ 1 (/ y x)))
(* x (+ 1 (/ y x)))
(* x (+ 1 (/ y x)))
x
(* -1 (* x (- (* -1 (/ y x)) 1)))
(* -1 (* x (- (* -1 (/ y x)) 1)))
(* -1 (* x (- (* -1 (/ y x)) 1)))
x
(+ x y)
(+ x y)
(+ x y)
y
(* y (+ 1 (/ x y)))
(* y (+ 1 (/ x y)))
(* y (+ 1 (/ x y)))
y
(* -1 (* y (- (* -1 (/ x y)) 1)))
(* -1 (* y (- (* -1 (/ x y)) 1)))
(* -1 (* y (- (* -1 (/ x y)) 1)))
-1
(- y 1)
(- y 1)
(- y 1)
y
(* y (- 1 (/ 1 y)))
(* y (- 1 (/ 1 y)))
(* y (- 1 (/ 1 y)))
y
(* -1 (* y (- (/ 1 y) 1)))
(* -1 (* y (- (/ 1 y) 1)))
(* -1 (* y (- (/ 1 y) 1)))
x
(+ x (* y (- 1 x)))
(+ x (* y (- 1 x)))
(+ x (* y (- 1 x)))
(* y (- 1 x))
(* y (- (+ 1 (/ x y)) x))
(* y (- (+ 1 (/ x y)) x))
(* y (- (+ 1 (/ x y)) x))
(* y (- 1 x))
(* -1 (* y (+ (* -1 (- 1 x)) (* -1 (/ x y)))))
(* -1 (* y (+ (* -1 (- 1 x)) (* -1 (/ x y)))))
(* -1 (* y (+ (* -1 (- 1 x)) (* -1 (/ x y)))))
y
(+ y (* x (+ 1 (* -1 y))))
(+ y (* x (+ 1 (* -1 y))))
(+ y (* x (+ 1 (* -1 y))))
(* x (+ 1 (* -1 y)))
(* x (+ 1 (+ (* -1 y) (/ y x))))
(* x (+ 1 (+ (* -1 y) (/ y x))))
(* x (+ 1 (+ (* -1 y) (/ y x))))
(* -1 (* x (- y 1)))
(* -1 (* x (- (+ y (* -1 (/ y x))) 1)))
(* -1 (* x (- (+ y (* -1 (/ y x))) 1)))
(* -1 (* x (- (+ y (* -1 (/ y x))) 1)))
1
(+ 1 (* -1 x))
(+ 1 (* -1 x))
(+ 1 (* -1 x))
(* -1 x)
(* x (- (/ 1 x) 1))
(* x (- (/ 1 x) 1))
(* x (- (/ 1 x) 1))
(* -1 x)
(* -1 (* x (- 1 (/ 1 x))))
(* -1 (* x (- 1 (/ 1 x))))
(* -1 (* x (- 1 (/ 1 x))))
y
(* y (+ 1 (* -1 y)))
(* y (+ 1 (* y (- y 1))))
(* y (+ 1 (* y (- (* y (+ 1 (* -1 y))) 1))))
1
(- 1 (/ 1 y))
(- (+ 1 (/ 1 (pow y 2))) (/ 1 y))
(- (+ 1 (/ 1 (pow y 2))) (+ (/ 1 y) (/ 1 (pow y 3))))
1
(- 1 (/ 1 y))
(+ 1 (* -1 (/ (- 1 (/ 1 y)) y)))
(+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 y)) y))) y)))
1
(+ 1 y)
(+ 1 y)
(+ 1 y)
y
(* y (+ 1 (/ 1 y)))
(* y (+ 1 (/ 1 y)))
(* y (+ 1 (/ 1 y)))
y
(* y (+ 1 (/ 1 y)))
(* y (+ 1 (/ 1 y)))
(* y (+ 1 (/ 1 y)))
(- 1 (/ 1 y))
(- (+ 1 (/ x y)) (/ 1 y))
(- (+ 1 (/ x y)) (/ 1 y))
(- (+ 1 (/ x y)) (/ 1 y))
(/ x y)
(* x (- (+ (/ 1 x) (/ 1 y)) (/ 1 (* x y))))
(* x (- (+ (/ 1 x) (/ 1 y)) (/ 1 (* x y))))
(* x (- (+ (/ 1 x) (/ 1 y)) (/ 1 (* x y))))
(/ x y)
(* -1 (* x (- (* -1 (/ (- 1 (/ 1 y)) x)) (/ 1 y))))
(* -1 (* x (- (* -1 (/ (- 1 (/ 1 y)) x)) (/ 1 y))))
(* -1 (* x (- (* -1 (/ (- 1 (/ 1 y)) x)) (/ 1 y))))
(/ (- x 1) y)
(/ (- (+ x y) 1) y)
(/ (- (+ x y) 1) y)
(/ (- (+ x y) 1) y)
1
(- (+ 1 (/ x y)) (/ 1 y))
(- (+ 1 (/ x y)) (/ 1 y))
(- (+ 1 (/ x y)) (/ 1 y))
1
(- (+ 1 (/ x y)) (/ 1 y))
(- (+ 1 (/ x y)) (/ 1 y))
(- (+ 1 (/ x y)) (/ 1 y))
(/ -1 y)
(- (/ x y) (/ 1 y))
(- (/ x y) (/ 1 y))
(- (/ x y) (/ 1 y))
(/ x y)
(* x (- (/ 1 y) (/ 1 (* x y))))
(* x (- (/ 1 y) (/ 1 (* x y))))
(* x (- (/ 1 y) (/ 1 (* x y))))
(/ x y)
(* -1 (* x (- (/ 1 (* x y)) (/ 1 y))))
(* -1 (* x (- (/ 1 (* x y)) (/ 1 y))))
(* -1 (* x (- (/ 1 (* x y)) (/ 1 y))))
(/ (- x 1) y)
(/ (- x 1) y)
(/ (- x 1) y)
(/ (- x 1) y)
(/ (- x 1) y)
(/ (- x 1) y)
(/ (- x 1) y)
(/ (- x 1) y)
(/ (- x 1) y)
(/ (- x 1) y)
(/ (- x 1) y)
(/ (- x 1) y)
-1
(- x 1)
(- x 1)
(- x 1)
x
(* x (- 1 (/ 1 x)))
(* x (- 1 (/ 1 x)))
(* x (- 1 (/ 1 x)))
x
(* -1 (* x (- (/ 1 x) 1)))
(* -1 (* x (- (/ 1 x) 1)))
(* -1 (* x (- (/ 1 x) 1)))
Outputs
(/ (* y (- y 1)) (- (pow y 2) 1))
(*.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) #s(literal 1 binary64))
(+ (* x (- (/ y (- (pow y 2) 1)) (/ 1 (- (pow y 2) 1)))) (/ (* y (- y 1)) (- (pow y 2) 1)))
(*.f64 (/.f64 (+.f64 y #s(literal -1 binary64)) (fma.f64 y y #s(literal -1 binary64))) (+.f64 y x))
(+ (* x (- (/ y (- (pow y 2) 1)) (/ 1 (- (pow y 2) 1)))) (/ (* y (- y 1)) (- (pow y 2) 1)))
(*.f64 (/.f64 (+.f64 y #s(literal -1 binary64)) (fma.f64 y y #s(literal -1 binary64))) (+.f64 y x))
(+ (* x (- (/ y (- (pow y 2) 1)) (/ 1 (- (pow y 2) 1)))) (/ (* y (- y 1)) (- (pow y 2) 1)))
(*.f64 (/.f64 (+.f64 y #s(literal -1 binary64)) (fma.f64 y y #s(literal -1 binary64))) (+.f64 y x))
(/ (* x (- y 1)) (- (pow y 2) 1))
(*.f64 (/.f64 x (+.f64 y #s(literal 1 binary64))) #s(literal 1 binary64))
(* x (- (+ (/ y (- (pow y 2) 1)) (/ (* y (- y 1)) (* x (- (pow y 2) 1)))) (/ 1 (- (pow y 2) 1))))
(*.f64 (/.f64 (+.f64 y #s(literal -1 binary64)) (fma.f64 y y #s(literal -1 binary64))) (+.f64 y x))
(* x (- (+ (/ y (- (pow y 2) 1)) (/ (* y (- y 1)) (* x (- (pow y 2) 1)))) (/ 1 (- (pow y 2) 1))))
(*.f64 (/.f64 (+.f64 y #s(literal -1 binary64)) (fma.f64 y y #s(literal -1 binary64))) (+.f64 y x))
(* x (- (+ (/ y (- (pow y 2) 1)) (/ (* y (- y 1)) (* x (- (pow y 2) 1)))) (/ 1 (- (pow y 2) 1))))
(*.f64 (/.f64 (+.f64 y #s(literal -1 binary64)) (fma.f64 y y #s(literal -1 binary64))) (+.f64 y x))
(/ (* x (- y 1)) (- (pow y 2) 1))
(*.f64 (/.f64 x (+.f64 y #s(literal 1 binary64))) #s(literal 1 binary64))
(* -1 (* x (+ (* -1 (/ (* y (- y 1)) (* x (- (pow y 2) 1)))) (* -1 (/ (- y 1) (- (pow y 2) 1))))))
(*.f64 (/.f64 (+.f64 y #s(literal -1 binary64)) (fma.f64 y y #s(literal -1 binary64))) (+.f64 y x))
(* -1 (* x (+ (* -1 (/ (* y (- y 1)) (* x (- (pow y 2) 1)))) (* -1 (/ (- y 1) (- (pow y 2) 1))))))
(*.f64 (/.f64 (+.f64 y #s(literal -1 binary64)) (fma.f64 y y #s(literal -1 binary64))) (+.f64 y x))
(* -1 (* x (+ (* -1 (/ (* y (- y 1)) (* x (- (pow y 2) 1)))) (* -1 (/ (- y 1) (- (pow y 2) 1))))))
(*.f64 (/.f64 (+.f64 y #s(literal -1 binary64)) (fma.f64 y y #s(literal -1 binary64))) (+.f64 y x))
x
(+ x (* -1 (* y (- x 1))))
(fma.f64 y (-.f64 #s(literal 1 binary64) x) x)
(+ x (* y (+ (* -1 (* y (+ 1 (* -1 x)))) (* -1 (- x 1)))))
(fma.f64 (+.f64 x #s(literal -1 binary64)) (-.f64 (*.f64 y y) y) x)
(+ x (* y (+ (* -1 (- x 1)) (* y (- (* y (- 1 x)) (+ 1 (* -1 x)))))))
(fma.f64 y (-.f64 #s(literal 1 binary64) (fma.f64 (+.f64 x #s(literal -1 binary64)) (-.f64 (*.f64 y y) y) x)) x)
1
#s(literal 1 binary64)
(- (+ 1 (/ x y)) (/ 1 y))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) y))
(- (+ 1 (+ (* -1 (/ x (pow y 2))) (+ (/ 1 (pow y 2)) (/ x y)))) (/ 1 y))
(-.f64 #s(literal 1 binary64) (/.f64 (+.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (+.f64 x #s(literal -1 binary64)) y)) y))
(- (+ 1 (+ (* -1 (/ x (pow y 2))) (+ (/ 1 (pow y 2)) (+ (/ x y) (/ x (pow y 3)))))) (+ (/ 1 y) (/ 1 (pow y 3))))
(-.f64 (+.f64 (+.f64 (/.f64 x (*.f64 y (*.f64 y y))) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (/.f64 x (*.f64 y y)))) (/.f64 (+.f64 x #s(literal -1 binary64)) y)) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y))) #s(literal -1 binary64)))
1
#s(literal 1 binary64)
(- (+ 1 (/ x y)) (/ 1 y))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) y))
(+ 1 (* -1 (/ (- (+ (* -1 (- x 1)) (/ x y)) (/ 1 y)) y)))
(-.f64 #s(literal 1 binary64) (/.f64 (+.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (+.f64 x #s(literal -1 binary64)) y)) y))
(+ 1 (* -1 (/ (+ (* -1 (- x 1)) (* -1 (/ (- (+ (* -1 (- x 1)) (/ x y)) (/ 1 y)) y))) y)))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (+.f64 x (/.f64 (+.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (+.f64 x #s(literal -1 binary64)) y)) y))) y))
(* y (- y 1))
(-.f64 (*.f64 y y) y)
(+ (* x (- y 1)) (* y (- y 1)))
(*.f64 (+.f64 y #s(literal -1 binary64)) (+.f64 y x))
(+ (* x (- y 1)) (* y (- y 1)))
(*.f64 (+.f64 y #s(literal -1 binary64)) (+.f64 y x))
(+ (* x (- y 1)) (* y (- y 1)))
(*.f64 (+.f64 y #s(literal -1 binary64)) (+.f64 y x))
(* x (- y 1))
(-.f64 (*.f64 y x) x)
(* x (- (+ y (/ (* y (- y 1)) x)) 1))
(*.f64 (+.f64 y #s(literal -1 binary64)) (+.f64 y x))
(* x (- (+ y (/ (* y (- y 1)) x)) 1))
(*.f64 (+.f64 y #s(literal -1 binary64)) (+.f64 y x))
(* x (- (+ y (/ (* y (- y 1)) x)) 1))
(*.f64 (+.f64 y #s(literal -1 binary64)) (+.f64 y x))
(* x (- y 1))
(-.f64 (*.f64 y x) x)
(* -1 (* x (+ (* -1 (- y 1)) (* -1 (/ (* y (- y 1)) x)))))
(*.f64 (+.f64 y #s(literal -1 binary64)) (+.f64 y x))
(* -1 (* x (+ (* -1 (- y 1)) (* -1 (/ (* y (- y 1)) x)))))
(*.f64 (+.f64 y #s(literal -1 binary64)) (+.f64 y x))
(* -1 (* x (+ (* -1 (- y 1)) (* -1 (/ (* y (- y 1)) x)))))
(*.f64 (+.f64 y #s(literal -1 binary64)) (+.f64 y x))
(* -1 x)
(neg.f64 x)
(+ (* -1 x) (* y (- x 1)))
(-.f64 (-.f64 (*.f64 y x) x) y)
(+ (* -1 x) (* y (- (+ x y) 1)))
(*.f64 (+.f64 y #s(literal -1 binary64)) (+.f64 y x))
(+ (* -1 x) (* y (- (+ x y) 1)))
(*.f64 (+.f64 y #s(literal -1 binary64)) (+.f64 y x))
(pow y 2)
(*.f64 y y)
(* (pow y 2) (- (+ 1 (/ x y)) (/ 1 y)))
(fma.f64 y (+.f64 y x) (neg.f64 y))
(* (pow y 2) (- (+ 1 (+ (* -1 (/ x (pow y 2))) (/ x y))) (/ 1 y)))
(*.f64 y (+.f64 y (-.f64 x (/.f64 (-.f64 (neg.f64 x) y) (neg.f64 y)))))
(* (pow y 2) (- (+ 1 (+ (* -1 (/ x (pow y 2))) (/ x y))) (/ 1 y)))
(*.f64 y (+.f64 y (-.f64 x (/.f64 (-.f64 (neg.f64 x) y) (neg.f64 y)))))
(pow y 2)
(*.f64 y y)
(* (pow y 2) (- (+ 1 (/ x y)) (/ 1 y)))
(fma.f64 y (+.f64 y x) (neg.f64 y))
(* (pow y 2) (+ 1 (* -1 (/ (+ (* -1 (- x 1)) (/ x y)) y))))
(*.f64 y (+.f64 y (-.f64 x (/.f64 (-.f64 (neg.f64 x) y) (neg.f64 y)))))
(* (pow y 2) (+ 1 (* -1 (/ (+ (* -1 (- x 1)) (/ x y)) y))))
(*.f64 y (+.f64 y (-.f64 x (/.f64 (-.f64 (neg.f64 x) y) (neg.f64 y)))))
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
#s(literal -1 binary64)
(- y 1)
(+.f64 y #s(literal -1 binary64))
(- y 1)
(+.f64 y #s(literal -1 binary64))
(- y 1)
(+.f64 y #s(literal -1 binary64))
y
(* y (- 1 (/ 1 y)))
(+.f64 y #s(literal -1 binary64))
(* y (- 1 (/ 1 y)))
(+.f64 y #s(literal -1 binary64))
(* y (- 1 (/ 1 y)))
(+.f64 y #s(literal -1 binary64))
y
(* -1 (* y (- (/ 1 y) 1)))
(+.f64 y #s(literal -1 binary64))
(* -1 (* y (- (/ 1 y) 1)))
(+.f64 y #s(literal -1 binary64))
(* -1 (* y (- (/ 1 y) 1)))
(+.f64 y #s(literal -1 binary64))
x
(+ x (* y (- 1 x)))
(fma.f64 y (-.f64 #s(literal 1 binary64) x) x)
(+ x (* y (- 1 x)))
(fma.f64 y (-.f64 #s(literal 1 binary64) x) x)
(+ x (* y (- 1 x)))
(fma.f64 y (-.f64 #s(literal 1 binary64) x) x)
(* y (- 1 x))
(-.f64 y (*.f64 y x))
(* y (- (+ 1 (/ x y)) x))
(fma.f64 y (-.f64 #s(literal 1 binary64) x) x)
(* y (- (+ 1 (/ x y)) x))
(fma.f64 y (-.f64 #s(literal 1 binary64) x) x)
(* y (- (+ 1 (/ x y)) x))
(fma.f64 y (-.f64 #s(literal 1 binary64) x) x)
(* y (- 1 x))
(-.f64 y (*.f64 y x))
(* -1 (* y (+ (* -1 (- 1 x)) (* -1 (/ x y)))))
(fma.f64 y (-.f64 #s(literal 1 binary64) x) x)
(* -1 (* y (+ (* -1 (- 1 x)) (* -1 (/ x y)))))
(fma.f64 y (-.f64 #s(literal 1 binary64) x) x)
(* -1 (* y (+ (* -1 (- 1 x)) (* -1 (/ x y)))))
(fma.f64 y (-.f64 #s(literal 1 binary64) x) x)
y
(+ y (* x (+ 1 (* -1 y))))
(fma.f64 y (-.f64 #s(literal 1 binary64) x) x)
(+ y (* x (+ 1 (* -1 y))))
(fma.f64 y (-.f64 #s(literal 1 binary64) x) x)
(+ y (* x (+ 1 (* -1 y))))
(fma.f64 y (-.f64 #s(literal 1 binary64) x) x)
(* x (+ 1 (* -1 y)))
(-.f64 x (*.f64 y x))
(* x (+ 1 (+ (* -1 y) (/ y x))))
(fma.f64 y (-.f64 #s(literal 1 binary64) x) x)
(* x (+ 1 (+ (* -1 y) (/ y x))))
(fma.f64 y (-.f64 #s(literal 1 binary64) x) x)
(* x (+ 1 (+ (* -1 y) (/ y x))))
(fma.f64 y (-.f64 #s(literal 1 binary64) x) x)
(* -1 (* x (- y 1)))
(-.f64 x (*.f64 y x))
(* -1 (* x (- (+ y (* -1 (/ y x))) 1)))
(fma.f64 y (-.f64 #s(literal 1 binary64) x) x)
(* -1 (* x (- (+ y (* -1 (/ y x))) 1)))
(fma.f64 y (-.f64 #s(literal 1 binary64) x) x)
(* -1 (* x (- (+ y (* -1 (/ y x))) 1)))
(fma.f64 y (-.f64 #s(literal 1 binary64) x) x)
1
#s(literal 1 binary64)
(+ 1 (* -1 x))
(-.f64 #s(literal 1 binary64) x)
(+ 1 (* -1 x))
(-.f64 #s(literal 1 binary64) x)
(+ 1 (* -1 x))
(-.f64 #s(literal 1 binary64) x)
(* -1 x)
(neg.f64 x)
(* x (- (/ 1 x) 1))
(-.f64 #s(literal 1 binary64) x)
(* x (- (/ 1 x) 1))
(-.f64 #s(literal 1 binary64) x)
(* x (- (/ 1 x) 1))
(-.f64 #s(literal 1 binary64) x)
(* -1 x)
(neg.f64 x)
(* -1 (* x (- 1 (/ 1 x))))
(-.f64 #s(literal 1 binary64) x)
(* -1 (* x (- 1 (/ 1 x))))
(-.f64 #s(literal 1 binary64) x)
(* -1 (* x (- 1 (/ 1 x))))
(-.f64 #s(literal 1 binary64) x)
y
(* y (+ 1 (* -1 y)))
(-.f64 y (*.f64 y y))
(* y (+ 1 (* y (- y 1))))
(fma.f64 y (-.f64 (*.f64 y y) y) y)
(* y (+ 1 (* y (- (* y (+ 1 (* -1 y))) 1))))
(fma.f64 (*.f64 y y) (fma.f64 y (-.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) y)
1
#s(literal 1 binary64)
(- 1 (/ 1 y))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y))
(- (+ 1 (/ 1 (pow y 2))) (/ 1 y))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) y)) y))
(- (+ 1 (/ 1 (pow y 2))) (+ (/ 1 y) (/ 1 (pow y 3))))
(+.f64 #s(literal 1 binary64) (+.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) y)) y) (/.f64 #s(literal -1 binary64) (*.f64 y (*.f64 y y)))))
1
#s(literal 1 binary64)
(- 1 (/ 1 y))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y))
(+ 1 (* -1 (/ (- 1 (/ 1 y)) y)))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) y)) y))
(+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 y)) y))) y)))
(-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) y)) y)) y))
1
#s(literal 1 binary64)
(+ 1 y)
(+.f64 y #s(literal 1 binary64))
(+ 1 y)
(+.f64 y #s(literal 1 binary64))
(+ 1 y)
(+.f64 y #s(literal 1 binary64))
y
(* y (+ 1 (/ 1 y)))
(+.f64 y #s(literal 1 binary64))
(* y (+ 1 (/ 1 y)))
(+.f64 y #s(literal 1 binary64))
(* y (+ 1 (/ 1 y)))
(+.f64 y #s(literal 1 binary64))
y
(* y (+ 1 (/ 1 y)))
(+.f64 y #s(literal 1 binary64))
(* y (+ 1 (/ 1 y)))
(+.f64 y #s(literal 1 binary64))
(* y (+ 1 (/ 1 y)))
(+.f64 y #s(literal 1 binary64))
(- 1 (/ 1 y))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y))
(- (+ 1 (/ x y)) (/ 1 y))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) y))
(- (+ 1 (/ x y)) (/ 1 y))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) y))
(- (+ 1 (/ x y)) (/ 1 y))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) y))
(/ x y)
(/.f64 x y)
(* x (- (+ (/ 1 x) (/ 1 y)) (/ 1 (* x y))))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) y))
(* x (- (+ (/ 1 x) (/ 1 y)) (/ 1 (* x y))))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) y))
(* x (- (+ (/ 1 x) (/ 1 y)) (/ 1 (* x y))))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) y))
(/ x y)
(/.f64 x y)
(* -1 (* x (- (* -1 (/ (- 1 (/ 1 y)) x)) (/ 1 y))))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) y))
(* -1 (* x (- (* -1 (/ (- 1 (/ 1 y)) x)) (/ 1 y))))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) y))
(* -1 (* x (- (* -1 (/ (- 1 (/ 1 y)) x)) (/ 1 y))))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) y))
(/ (- x 1) y)
(/.f64 (+.f64 x #s(literal -1 binary64)) y)
(/ (- (+ x y) 1) y)
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) y))
(/ (- (+ x y) 1) y)
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) y))
(/ (- (+ x y) 1) y)
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) y))
1
#s(literal 1 binary64)
(- (+ 1 (/ x y)) (/ 1 y))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) y))
(- (+ 1 (/ x y)) (/ 1 y))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) y))
(- (+ 1 (/ x y)) (/ 1 y))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) y))
1
#s(literal 1 binary64)
(- (+ 1 (/ x y)) (/ 1 y))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) y))
(- (+ 1 (/ x y)) (/ 1 y))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) y))
(- (+ 1 (/ x y)) (/ 1 y))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) y))
(/ -1 y)
(/.f64 #s(literal -1 binary64) y)
(- (/ x y) (/ 1 y))
(/.f64 (+.f64 x #s(literal -1 binary64)) y)
(- (/ x y) (/ 1 y))
(/.f64 (+.f64 x #s(literal -1 binary64)) y)
(- (/ x y) (/ 1 y))
(/.f64 (+.f64 x #s(literal -1 binary64)) y)
(/ x y)
(/.f64 x y)
(* x (- (/ 1 y) (/ 1 (* x y))))
(/.f64 (+.f64 x #s(literal -1 binary64)) y)
(* x (- (/ 1 y) (/ 1 (* x y))))
(/.f64 (+.f64 x #s(literal -1 binary64)) y)
(* x (- (/ 1 y) (/ 1 (* x y))))
(/.f64 (+.f64 x #s(literal -1 binary64)) y)
(/ x y)
(/.f64 x y)
(* -1 (* x (- (/ 1 (* x y)) (/ 1 y))))
(/.f64 (+.f64 x #s(literal -1 binary64)) y)
(* -1 (* x (- (/ 1 (* x y)) (/ 1 y))))
(/.f64 (+.f64 x #s(literal -1 binary64)) y)
(* -1 (* x (- (/ 1 (* x y)) (/ 1 y))))
(/.f64 (+.f64 x #s(literal -1 binary64)) y)
(/ (- x 1) y)
(/.f64 (+.f64 x #s(literal -1 binary64)) y)
(/ (- x 1) y)
(/.f64 (+.f64 x #s(literal -1 binary64)) y)
(/ (- x 1) y)
(/.f64 (+.f64 x #s(literal -1 binary64)) y)
(/ (- x 1) y)
(/.f64 (+.f64 x #s(literal -1 binary64)) y)
(/ (- x 1) y)
(/.f64 (+.f64 x #s(literal -1 binary64)) y)
(/ (- x 1) y)
(/.f64 (+.f64 x #s(literal -1 binary64)) y)
(/ (- x 1) y)
(/.f64 (+.f64 x #s(literal -1 binary64)) y)
(/ (- x 1) y)
(/.f64 (+.f64 x #s(literal -1 binary64)) y)
(/ (- x 1) y)
(/.f64 (+.f64 x #s(literal -1 binary64)) y)
(/ (- x 1) y)
(/.f64 (+.f64 x #s(literal -1 binary64)) y)
(/ (- x 1) y)
(/.f64 (+.f64 x #s(literal -1 binary64)) y)
(/ (- x 1) y)
(/.f64 (+.f64 x #s(literal -1 binary64)) y)
-1
#s(literal -1 binary64)
(- x 1)
(+.f64 x #s(literal -1 binary64))
(- x 1)
(+.f64 x #s(literal -1 binary64))
(- x 1)
(+.f64 x #s(literal -1 binary64))
x
(* x (- 1 (/ 1 x)))
(+.f64 x #s(literal -1 binary64))
(* x (- 1 (/ 1 x)))
(+.f64 x #s(literal -1 binary64))
(* x (- 1 (/ 1 x)))
(+.f64 x #s(literal -1 binary64))
x
(* -1 (* x (- (/ 1 x) 1)))
(+.f64 x #s(literal -1 binary64))
(* -1 (* x (- (/ 1 x) 1)))
(+.f64 x #s(literal -1 binary64))
(* -1 (* x (- (/ 1 x) 1)))
(+.f64 x #s(literal -1 binary64))

eval162.0ms (1.6%)

Memory
2.3MiB live, 228.9MiB allocated
Compiler

Compiled 16 543 to 2 080 computations (87.4% saved)

prune99.0ms (1%)

Memory
-0.9MiB live, 317.8MiB allocated
Pruning

14 alts after pruning (10 fresh and 4 done)

PrunedKeptTotal
New8637870
Fresh235
Picked235
Done011
Total86714881
Accuracy
100.0%
Counts
881 → 14
Alt Table
Click to see full alt table
StatusAccuracyProgram
54.5%
(fma.f64 y (fma.f64 (-.f64 y (*.f64 y x)) (+.f64 y #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) x)) x)
54.1%
(fma.f64 y (-.f64 #s(literal 1 binary64) x) x)
39.3%
(fma.f64 y (neg.f64 x) x)
54.3%
(fma.f64 y #s(literal 1 binary64) x)
28.7%
(/.f64 (-.f64 (*.f64 y y) y) (fma.f64 y y #s(literal -1 binary64)))
100.0%
(/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64)))
49.2%
(/.f64 y (+.f64 y #s(literal 1 binary64)))
52.2%
(/.f64 x (+.f64 y #s(literal 1 binary64)))
15.5%
(/.f64 x y)
17.6%
(-.f64 y (*.f64 y y))
47.2%
(+.f64 #s(literal 1 binary64) (/.f64 x y))
17.9%
y
39.6%
x
34.0%
#s(literal 1 binary64)
Compiler

Compiled 175 to 111 computations (36.6% saved)

simplify662.0ms (6.5%)

Memory
11.6MiB live, 687.9MiB allocated
Algorithm
egg-herbie
Localize:

Found 9 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f64 x y)
cost-diff0
(+.f64 #s(literal 1 binary64) (/.f64 x y))
cost-diff0
(neg.f64 x)
cost-diff0
(fma.f64 y (neg.f64 x) x)
cost-diff192
(fma.f64 y #s(literal 1 binary64) x)
cost-diff0
(*.f64 y x)
cost-diff0
(-.f64 y (*.f64 y x))
cost-diff0
(fma.f64 y (fma.f64 (-.f64 y (*.f64 y x)) (+.f64 y #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) x)) x)
cost-diff192
(fma.f64 (-.f64 y (*.f64 y x)) (+.f64 y #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) x))
Rules
19 834×accelerator-lowering-fma.f32
19 834×accelerator-lowering-fma.f64
3 082×*-lowering-*.f32
3 082×*-lowering-*.f64
3 056×--lowering--.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01976
15675
218573
360771
4254471
5610371
6753971
0802068
Stop Event
iter limit
node limit
Calls
Call 1
Inputs
(+ (* y (+ (* (- y (* y x)) (+ y -1)) (- 1 x))) x)
y
(+ (* (- y (* y x)) (+ y -1)) (- 1 x))
(- y (* y x))
(* y x)
x
(+ y -1)
-1
(- 1 x)
1
x
(+ (* y 1) x)
y
1
x
(+ (* y (neg x)) x)
y
(neg x)
x
(+ 1 (/ x y))
1
(/ x y)
x
y
Outputs
(+ (* y (+ (* (- y (* y x)) (+ y -1)) (- 1 x))) x)
(fma.f64 (fma.f64 x (neg.f64 y) y) (-.f64 (fma.f64 y y #s(literal 1 binary64)) y) x)
y
(+ (* (- y (* y x)) (+ y -1)) (- 1 x))
(*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (fma.f64 y y #s(literal 1 binary64)) y))
(- y (* y x))
(fma.f64 x (neg.f64 y) y)
(* y x)
(*.f64 y x)
x
(+ y -1)
(+.f64 y #s(literal -1 binary64))
-1
#s(literal -1 binary64)
(- 1 x)
(-.f64 #s(literal 1 binary64) x)
1
#s(literal 1 binary64)
x
(+ (* y 1) x)
(+.f64 y x)
y
1
#s(literal 1 binary64)
x
(+ (* y (neg x)) x)
(fma.f64 x (neg.f64 y) x)
y
(neg x)
(neg.f64 x)
x
(+ 1 (/ x y))
(+.f64 #s(literal 1 binary64) (/.f64 x y))
1
#s(literal 1 binary64)
(/ x y)
(/.f64 x y)
x
y

localize100.0ms (1%)

Memory
-16.1MiB live, 113.4MiB allocated
Localize:

Found 9 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(/.f64 x y)
accuracy100.0%
(+.f64 #s(literal 1 binary64) (/.f64 x y))
accuracy100.0%
(fma.f64 y (neg.f64 x) x)
accuracy100.0%
(neg.f64 x)
accuracy100.0%
(fma.f64 y #s(literal 1 binary64) x)
accuracy100.0%
(*.f64 y x)
accuracy100.0%
(fma.f64 (-.f64 y (*.f64 y x)) (+.f64 y #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) x))
accuracy100.0%
(fma.f64 y (fma.f64 (-.f64 y (*.f64 y x)) (+.f64 y #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) x)) x)
accuracy100.0%
(-.f64 y (*.f64 y x))
Samples
42.0ms256×0valid
Compiler

Compiled 75 to 21 computations (72% saved)

Precisions
Click to see histograms. Total time spent on operations: 26.0ms
ival-mult: 13.0ms (49.4% of total)
ival-add: 7.0ms (26.6% of total)
ival-sub: 3.0ms (11.4% of total)
ival-div: 2.0ms (7.6% of total)
ival-neg: 1.0ms (3.8% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series11.0ms (0.1%)

Memory
13.5MiB live, 13.5MiB allocated
Counts
9 → 204
Calls
Call 1
Inputs
#<alt (+ (* (- y (* y x)) (+ y -1)) (- 1 x))>
#<alt (+ (* y (+ (* (- y (* y x)) (+ y -1)) (- 1 x))) x)>
#<alt (- y (* y x))>
#<alt (* y x)>
#<alt (+ (* y 1) x)>
#<alt (+ (* y (neg x)) x)>
#<alt (neg x)>
#<alt (+ 1 (/ x y))>
#<alt (/ x y)>
Outputs
#<alt (- 1 x)>
#<alt (- (+ 1 (* -1 (* y (- 1 x)))) x)>
#<alt (- (+ 1 (* y (+ (* -1 (- 1 x)) (* y (- 1 x))))) x)>
#<alt (- (+ 1 (* y (+ (* -1 (- 1 x)) (* y (- 1 x))))) x)>
#<alt (* (pow y 2) (- 1 x))>
#<alt (* (pow y 2) (- (+ 1 (* -1 (/ (- 1 x) y))) x))>
#<alt (* (pow y 2) (- (+ 1 (+ (* -1 (/ (- 1 x) y)) (/ 1 (pow y 2)))) (+ x (/ x (pow y 2)))))>
#<alt (* (pow y 2) (- (+ 1 (+ (* -1 (/ (- 1 x) y)) (/ 1 (pow y 2)))) (+ x (/ x (pow y 2)))))>
#<alt (* (pow y 2) (+ 1 (* -1 x)))>
#<alt (* (pow y 2) (+ 1 (+ (* -1 x) (* -1 (/ (+ 1 (* -1 x)) y)))))>
#<alt (* (pow y 2) (+ 1 (+ (* -1 x) (* -1 (/ (+ 1 (+ (* -1 x) (* -1 (/ (- 1 x) y)))) y)))))>
#<alt (* (pow y 2) (+ 1 (+ (* -1 x) (* -1 (/ (+ 1 (+ (* -1 x) (* -1 (/ (- 1 x) y)))) y)))))>
#<alt (+ 1 (* y (- y 1)))>
#<alt (+ 1 (+ (* x (- (* -1 (* y (- y 1))) 1)) (* y (- y 1))))>
#<alt (+ 1 (+ (* x (- (* -1 (* y (- y 1))) 1)) (* y (- y 1))))>
#<alt (+ 1 (+ (* x (- (* -1 (* y (- y 1))) 1)) (* y (- y 1))))>
#<alt (* x (- (* -1 (* y (- y 1))) 1))>
#<alt (* x (- (+ (* -1 (* y (- y 1))) (+ (/ 1 x) (/ (* y (- y 1)) x))) 1))>
#<alt (* x (- (+ (* -1 (* y (- y 1))) (+ (/ 1 x) (/ (* y (- y 1)) x))) 1))>
#<alt (* x (- (+ (* -1 (* y (- y 1))) (+ (/ 1 x) (/ (* y (- y 1)) x))) 1))>
#<alt (* -1 (* x (+ 1 (* y (- y 1)))))>
#<alt (* -1 (* x (+ 1 (+ (* -1 (/ (+ 1 (* y (- y 1))) x)) (* y (- y 1))))))>
#<alt (* -1 (* x (+ 1 (+ (* -1 (/ (+ 1 (* y (- y 1))) x)) (* y (- y 1))))))>
#<alt (* -1 (* x (+ 1 (+ (* -1 (/ (+ 1 (* y (- y 1))) x)) (* y (- y 1))))))>
#<alt x>
#<alt (+ x (* y (- 1 x)))>
#<alt (+ x (* y (- (+ 1 (* -1 (* y (- 1 x)))) x)))>
#<alt (+ x (* y (- (+ 1 (* y (+ (* -1 (- 1 x)) (* y (- 1 x))))) x)))>
#<alt (* (pow y 3) (- 1 x))>
#<alt (* (pow y 3) (- (+ 1 (* -1 (/ (- 1 x) y))) x))>
#<alt (* (pow y 3) (- (+ 1 (+ (* -1 (/ (- 1 x) y)) (/ 1 (pow y 2)))) (+ x (/ x (pow y 2)))))>
#<alt (* (pow y 3) (- (+ 1 (+ (* -1 (/ (- 1 x) y)) (+ (/ 1 (pow y 2)) (/ x (pow y 3))))) (+ x (/ x (pow y 2)))))>
#<alt (* (pow y 3) (+ 1 (* -1 x)))>
#<alt (* -1 (* (pow y 3) (+ (* -1 (+ 1 (* -1 x))) (+ (* -1 (/ x y)) (/ 1 y)))))>
#<alt (* -1 (* (pow y 3) (+ (* -1 (+ 1 (* -1 x))) (* -1 (/ (- (+ (* -1 (+ 1 (* -1 x))) (/ 1 y)) (/ x y)) y)))))>
#<alt (* -1 (* (pow y 3) (+ (* -1 (+ 1 (* -1 x))) (* -1 (/ (+ (* -1 (+ 1 (* -1 x))) (* -1 (/ (+ (* -1 (- 1 x)) (* -1 (/ x y))) y))) y)))))>
#<alt (* y (+ 1 (* y (- y 1))))>
#<alt (+ (* x (+ 1 (* y (- (* -1 (* y (- y 1))) 1)))) (* y (+ 1 (* y (- y 1)))))>
#<alt (+ (* x (+ 1 (* y (- (* -1 (* y (- y 1))) 1)))) (* y (+ 1 (* y (- y 1)))))>
#<alt (+ (* x (+ 1 (* y (- (* -1 (* y (- y 1))) 1)))) (* y (+ 1 (* y (- y 1)))))>
#<alt (* x (+ 1 (* y (- (* -1 (* y (- y 1))) 1))))>
#<alt (* x (+ 1 (+ (* y (- (* -1 (* y (- y 1))) 1)) (/ (* y (+ 1 (* y (- y 1)))) x))))>
#<alt (* x (+ 1 (+ (* y (- (* -1 (* y (- y 1))) 1)) (/ (* y (+ 1 (* y (- y 1)))) x))))>
#<alt (* x (+ 1 (+ (* y (- (* -1 (* y (- y 1))) 1)) (/ (* y (+ 1 (* y (- y 1)))) x))))>
#<alt (* -1 (* x (- (* y (+ 1 (* y (- y 1)))) 1)))>
#<alt (* -1 (* x (- (+ (* -1 (/ (* y (+ 1 (* y (- y 1)))) x)) (* y (+ 1 (* y (- y 1))))) 1)))>
#<alt (* -1 (* x (- (+ (* -1 (/ (* y (+ 1 (* y (- y 1)))) x)) (* y (+ 1 (* y (- y 1))))) 1)))>
#<alt (* -1 (* x (- (+ (* -1 (/ (* y (+ 1 (* y (- y 1)))) x)) (* y (+ 1 (* y (- y 1))))) 1)))>
#<alt (* y (- 1 x))>
#<alt (* y (- 1 x))>
#<alt (* y (- 1 x))>
#<alt (* y (- 1 x))>
#<alt (* y (- 1 x))>
#<alt (* y (- 1 x))>
#<alt (* y (- 1 x))>
#<alt (* y (- 1 x))>
#<alt (* y (+ 1 (* -1 x)))>
#<alt (* y (+ 1 (* -1 x)))>
#<alt (* y (+ 1 (* -1 x)))>
#<alt (* y (+ 1 (* -1 x)))>
#<alt y>
#<alt (+ y (* -1 (* x y)))>
#<alt (+ y (* -1 (* x y)))>
#<alt (+ y (* -1 (* x y)))>
#<alt (* -1 (* x y))>
#<alt (* x (- (/ y x) y))>
#<alt (* x (- (/ y x) y))>
#<alt (* x (- (/ y x) y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x (- (* -1 (/ y x)) (* -1 y))))>
#<alt (* -1 (* x (- (* -1 (/ y x)) (* -1 y))))>
#<alt (* -1 (* x (- (* -1 (/ y x)) (* -1 y))))>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt x>
#<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 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 (* -1 (* x y)))>
#<alt (+ x (* -1 (* x y)))>
#<alt (+ x (* -1 (* x y)))>
#<alt (* -1 (* x y))>
#<alt (* y (+ (* -1 x) (/ x y)))>
#<alt (* y (+ (* -1 x) (/ x y)))>
#<alt (* y (+ (* -1 x) (/ x y)))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* y (+ x (* -1 (/ x y)))))>
#<alt (* -1 (* y (+ x (* -1 (/ x y)))))>
#<alt (* -1 (* y (+ x (* -1 (/ x y)))))>
#<alt (* x (+ 1 (* -1 y)))>
#<alt (* x (+ 1 (* -1 y)))>
#<alt (* x (+ 1 (* -1 y)))>
#<alt (* x (+ 1 (* -1 y)))>
#<alt (* x (+ 1 (* -1 y)))>
#<alt (* x (+ 1 (* -1 y)))>
#<alt (* x (+ 1 (* -1 y)))>
#<alt (* x (+ 1 (* -1 y)))>
#<alt (* -1 (* x (- y 1)))>
#<alt (* -1 (* x (- y 1)))>
#<alt (* -1 (* x (- y 1)))>
#<alt (* -1 (* x (- y 1)))>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt 1>
#<alt (+ 1 (/ x y))>
#<alt (+ 1 (/ x y))>
#<alt (+ 1 (/ x y))>
#<alt (/ x y)>
#<alt (* x (+ (/ 1 x) (/ 1 y)))>
#<alt (* x (+ (/ 1 x) (/ 1 y)))>
#<alt (* x (+ (/ 1 x) (/ 1 y)))>
#<alt (/ x y)>
#<alt (* x (+ (/ 1 x) (/ 1 y)))>
#<alt (* x (+ (/ 1 x) (/ 1 y)))>
#<alt (* x (+ (/ 1 x) (/ 1 y)))>
#<alt (/ x y)>
#<alt (/ (+ x y) y)>
#<alt (/ (+ x y) y)>
#<alt (/ (+ x y) y)>
#<alt 1>
#<alt (+ 1 (/ x y))>
#<alt (+ 1 (/ x y))>
#<alt (+ 1 (/ x y))>
#<alt 1>
#<alt (+ 1 (/ x y))>
#<alt (+ 1 (/ x y))>
#<alt (+ 1 (/ x y))>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
Calls

51 calls:

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

rewrite646.0ms (6.3%)

Memory
-133.1MiB live, 713.4MiB allocated
Algorithm
batch-egg-rewrite
Rules
5 212×accelerator-lowering-fma.f32
5 212×accelerator-lowering-fma.f64
4 954×*-lowering-*.f32
4 954×*-lowering-*.f64
4 608×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01957
115156
2143456
0893953
Stop Event
iter limit
node limit
Counts
9 → 596
Calls
Call 1
Inputs
(+ (* (- y (* y x)) (+ y -1)) (- 1 x))
(+ (* y (+ (* (- y (* y x)) (+ y -1)) (- 1 x))) x)
(- y (* y x))
(* y x)
(+ (* y 1) x)
(+ (* y (neg x)) x)
(neg x)
(+ 1 (/ x y))
(/ x y)
Outputs
(+.f64 (*.f64 (-.f64 y (*.f64 y x)) (+.f64 y #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) x))
(+.f64 #s(literal 1 binary64) (+.f64 (neg.f64 x) (*.f64 (-.f64 y (*.f64 y x)) (+.f64 y #s(literal -1 binary64)))))
(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (-.f64 y (*.f64 y x)) (+.f64 y #s(literal -1 binary64))))
(+.f64 (*.f64 y (-.f64 y (*.f64 y x))) (+.f64 (neg.f64 (-.f64 y (*.f64 y x))) (-.f64 #s(literal 1 binary64) x)))
(+.f64 (fma.f64 (-.f64 y (*.f64 y x)) (+.f64 y #s(literal -1 binary64)) #s(literal 1 binary64)) (neg.f64 x))
(+.f64 (+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (-.f64 y (*.f64 y x)))) (neg.f64 (-.f64 y (*.f64 y x))))
(-.f64 #s(literal 1 binary64) (-.f64 x (*.f64 (-.f64 y (*.f64 y x)) (+.f64 y #s(literal -1 binary64)))))
(-.f64 (fma.f64 (-.f64 y (*.f64 y x)) (+.f64 y #s(literal -1 binary64)) #s(literal 1 binary64)) x)
(-.f64 (/.f64 (*.f64 (*.f64 (-.f64 y (*.f64 y x)) (+.f64 y #s(literal -1 binary64))) (*.f64 (-.f64 y (*.f64 y x)) (+.f64 y #s(literal -1 binary64)))) (-.f64 (*.f64 (-.f64 y (*.f64 y x)) (+.f64 y #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) x))) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (-.f64 (*.f64 (-.f64 y (*.f64 y x)) (+.f64 y #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) x))))
(-.f64 (/.f64 (*.f64 (fma.f64 (-.f64 y (*.f64 y x)) (+.f64 y #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (-.f64 y (*.f64 y x)) (+.f64 y #s(literal -1 binary64)) #s(literal 1 binary64)) (fma.f64 (-.f64 y (*.f64 y x)) (+.f64 y #s(literal -1 binary64)) #s(literal 1 binary64)))) (fma.f64 (fma.f64 (-.f64 y (*.f64 y x)) (+.f64 y #s(literal -1 binary64)) #s(literal 1 binary64)) (fma.f64 (-.f64 y (*.f64 y x)) (+.f64 y #s(literal -1 binary64)) #s(literal 1 binary64)) (fma.f64 x x (*.f64 (fma.f64 (-.f64 y (*.f64 y x)) (+.f64 y #s(literal -1 binary64)) #s(literal 1 binary64)) x)))) (/.f64 (*.f64 x (*.f64 x x)) (fma.f64 (fma.f64 (-.f64 y (*.f64 y x)) (+.f64 y #s(literal -1 binary64)) #s(literal 1 binary64)) (fma.f64 (-.f64 y (*.f64 y x)) (+.f64 y #s(literal -1 binary64)) #s(literal 1 binary64)) (fma.f64 x x (*.f64 (fma.f64 (-.f64 y (*.f64 y x)) (+.f64 y #s(literal -1 binary64)) #s(literal 1 binary64)) x)))))
(-.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (-.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (-.f64 y (*.f64 y x)) (+.f64 y #s(literal -1 binary64))))) (/.f64 (*.f64 (*.f64 (-.f64 y (*.f64 y x)) (+.f64 y #s(literal -1 binary64))) (*.f64 (-.f64 y (*.f64 y x)) (+.f64 y #s(literal -1 binary64)))) (-.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (-.f64 y (*.f64 y x)) (+.f64 y #s(literal -1 binary64))))))
(-.f64 (/.f64 (*.f64 (fma.f64 (-.f64 y (*.f64 y x)) (+.f64 y #s(literal -1 binary64)) #s(literal 1 binary64)) (fma.f64 (-.f64 y (*.f64 y x)) (+.f64 y #s(literal -1 binary64)) #s(literal 1 binary64))) (+.f64 (fma.f64 (-.f64 y (*.f64 y x)) (+.f64 y #s(literal -1 binary64)) #s(literal 1 binary64)) x)) (/.f64 (*.f64 x x) (+.f64 (fma.f64 (-.f64 y (*.f64 y x)) (+.f64 y #s(literal -1 binary64)) #s(literal 1 binary64)) x)))
(fma.f64 y (-.f64 y (*.f64 y x)) (+.f64 (neg.f64 (-.f64 y (*.f64 y x))) (-.f64 #s(literal 1 binary64) x)))
(fma.f64 (-.f64 y (*.f64 y x)) y (+.f64 (neg.f64 (-.f64 y (*.f64 y x))) (-.f64 #s(literal 1 binary64) x)))
(fma.f64 (-.f64 y (*.f64 y x)) (+.f64 y #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) x))
(fma.f64 (+.f64 y #s(literal -1 binary64)) (-.f64 y (*.f64 y x)) (-.f64 #s(literal 1 binary64) x))
(fma.f64 #s(literal 1 binary64) (*.f64 y (-.f64 y (*.f64 y x))) (+.f64 (neg.f64 (-.f64 y (*.f64 y x))) (-.f64 #s(literal 1 binary64) x)))
(fma.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))) (*.f64 (-.f64 y (*.f64 y x)) (+.f64 y #s(literal -1 binary64))))
(fma.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (*.f64 (-.f64 y (*.f64 y x)) (+.f64 y #s(literal -1 binary64))))
(fma.f64 (*.f64 y (-.f64 y (*.f64 y x))) #s(literal 1 binary64) (+.f64 (neg.f64 (-.f64 y (*.f64 y x))) (-.f64 #s(literal 1 binary64) x)))
(fma.f64 (/.f64 (+.f64 y #s(literal -1 binary64)) y) (/.f64 (*.f64 (fma.f64 y x y) (-.f64 y (*.f64 y x))) (+.f64 x #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) x))
(fma.f64 (/.f64 (*.f64 (fma.f64 y x y) (-.f64 y (*.f64 y x))) (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 y #s(literal -1 binary64)) y) (-.f64 #s(literal 1 binary64) x))
(fma.f64 (/.f64 (*.f64 (fma.f64 y x y) (-.f64 y (*.f64 y x))) (+.f64 x #s(literal 1 binary64))) (/.f64 y y) (+.f64 (neg.f64 (-.f64 y (*.f64 y x))) (-.f64 #s(literal 1 binary64) x)))
(fma.f64 (/.f64 (+.f64 y #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64))) (/.f64 (*.f64 (fma.f64 y x y) (-.f64 y (*.f64 y x))) y) (-.f64 #s(literal 1 binary64) x))
(fma.f64 (/.f64 (*.f64 (fma.f64 y x y) (-.f64 y (*.f64 y x))) y) (/.f64 (+.f64 y #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) x))
(fma.f64 (/.f64 (*.f64 (fma.f64 y x y) (-.f64 y (*.f64 y x))) y) (/.f64 y (+.f64 x #s(literal 1 binary64))) (+.f64 (neg.f64 (-.f64 y (*.f64 y x))) (-.f64 #s(literal 1 binary64) x)))
(fma.f64 (/.f64 y y) (/.f64 (*.f64 (fma.f64 y x y) (-.f64 y (*.f64 y x))) (+.f64 x #s(literal 1 binary64))) (+.f64 (neg.f64 (-.f64 y (*.f64 y x))) (-.f64 #s(literal 1 binary64) x)))
(fma.f64 (/.f64 y (+.f64 x #s(literal 1 binary64))) (/.f64 (*.f64 (fma.f64 y x y) (-.f64 y (*.f64 y x))) y) (+.f64 (neg.f64 (-.f64 y (*.f64 y x))) (-.f64 #s(literal 1 binary64) x)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (-.f64 y (*.f64 y x)) (*.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 (-.f64 y (*.f64 y x)) (+.f64 y #s(literal -1 binary64)))) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (-.f64 y (*.f64 y x)) (+.f64 y #s(literal -1 binary64)))))) (fma.f64 (*.f64 (-.f64 y (*.f64 y x)) (+.f64 y #s(literal -1 binary64))) (*.f64 (*.f64 (-.f64 y (*.f64 y x)) (+.f64 y #s(literal -1 binary64))) (*.f64 (-.f64 y (*.f64 y x)) (+.f64 y #s(literal -1 binary64)))) (*.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 (*.f64 (-.f64 y (*.f64 y x)) (+.f64 y #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) x)) (*.f64 (-.f64 (fma.f64 (-.f64 y (*.f64 y x)) (+.f64 y #s(literal -1 binary64)) #s(literal 1 binary64)) x) (-.f64 (*.f64 (-.f64 y (*.f64 y x)) (+.f64 y #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) x))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (-.f64 y (*.f64 y x)) (*.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 (-.f64 y (*.f64 y x)) (+.f64 y #s(literal -1 binary64)))) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (-.f64 y (*.f64 y x)) (+.f64 y #s(literal -1 binary64)))))) (fma.f64 (*.f64 (-.f64 y (*.f64 y x)) (+.f64 y #s(literal -1 binary64))) (*.f64 (*.f64 (-.f64 y (*.f64 y x)) (+.f64 y #s(literal -1 binary64))) (*.f64 (-.f64 y (*.f64 y x)) (+.f64 y #s(literal -1 binary64)))) (*.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 (-.f64 y (*.f64 y x)) (+.f64 y #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) x)) (*.f64 (-.f64 (fma.f64 (-.f64 y (*.f64 y x)) (+.f64 y #s(literal -1 binary64)) #s(literal 1 binary64)) x) (-.f64 (*.f64 (-.f64 y (*.f64 y x)) (+.f64 y #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) x)))))
(/.f64 (fma.f64 (*.f64 (-.f64 y (*.f64 y x)) (+.f64 y #s(literal -1 binary64))) (*.f64 (*.f64 (-.f64 y (*.f64 y x)) (+.f64 y #s(literal -1 binary64))) (*.f64 (-.f64 y (*.f64 y x)) (+.f64 y #s(literal -1 binary64)))) (*.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))) (fma.f64 (-.f64 y (*.f64 y x)) (*.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 (-.f64 y (*.f64 y x)) (+.f64 y #s(literal -1 binary64)))) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (-.f64 y (*.f64 y x)) (+.f64 y #s(literal -1 binary64)))))))
(/.f64 (fma.f64 (*.f64 (-.f64 y (*.f64 y x)) (+.f64 y #s(literal -1 binary64))) (*.f64 (*.f64 (-.f64 y (*.f64 y x)) (+.f64 y #s(literal -1 binary64))) (*.f64 (-.f64 y (*.f64 y x)) (+.f64 y #s(literal -1 binary64)))) (*.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))) (fma.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x) (-.f64 (*.f64 (*.f64 (-.f64 y (*.f64 y x)) (+.f64 y #s(literal -1 binary64))) (*.f64 (-.f64 y (*.f64 y x)) (+.f64 y #s(literal -1 binary64)))) (*.f64 (*.f64 (-.f64 y (*.f64 y x)) (+.f64 y #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) x)))))
(/.f64 (*.f64 (-.f64 (fma.f64 (-.f64 y (*.f64 y x)) (+.f64 y #s(literal -1 binary64)) #s(literal 1 binary64)) x) (-.f64 (*.f64 (-.f64 y (*.f64 y x)) (+.f64 y #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) x))) (-.f64 (*.f64 (-.f64 y (*.f64 y x)) (+.f64 y #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) x)))
(/.f64 (neg.f64 (fma.f64 (*.f64 (-.f64 y (*.f64 y x)) (+.f64 y #s(literal -1 binary64))) (*.f64 (*.f64 (-.f64 y (*.f64 y x)) (+.f64 y #s(literal -1 binary64))) (*.f64 (-.f64 y (*.f64 y x)) (+.f64 y #s(literal -1 binary64)))) (*.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))))) (neg.f64 (fma.f64 (-.f64 y (*.f64 y x)) (*.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 (-.f64 y (*.f64 y x)) (+.f64 y #s(literal -1 binary64)))) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (-.f64 y (*.f64 y x)) (+.f64 y #s(literal -1 binary64))))))))
(/.f64 (neg.f64 (fma.f64 (*.f64 (-.f64 y (*.f64 y x)) (+.f64 y #s(literal -1 binary64))) (*.f64 (*.f64 (-.f64 y (*.f64 y x)) (+.f64 y #s(literal -1 binary64))) (*.f64 (-.f64 y (*.f64 y x)) (+.f64 y #s(literal -1 binary64)))) (*.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))))) (neg.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x) (-.f64 (*.f64 (*.f64 (-.f64 y (*.f64 y x)) (+.f64 y #s(literal -1 binary64))) (*.f64 (-.f64 y (*.f64 y x)) (+.f64 y #s(literal -1 binary64)))) (*.f64 (*.f64 (-.f64 y (*.f64 y x)) (+.f64 y #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) x))))))
(/.f64 (neg.f64 (*.f64 (-.f64 (fma.f64 (-.f64 y (*.f64 y x)) (+.f64 y #s(literal -1 binary64)) #s(literal 1 binary64)) x) (-.f64 (*.f64 (-.f64 y (*.f64 y x)) (+.f64 y #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) x)))) (neg.f64 (-.f64 (*.f64 (-.f64 y (*.f64 y x)) (+.f64 y #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) x))))
(/.f64 (-.f64 (*.f64 (fma.f64 (-.f64 y (*.f64 y x)) (+.f64 y #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (-.f64 y (*.f64 y x)) (+.f64 y #s(literal -1 binary64)) #s(literal 1 binary64)) (fma.f64 (-.f64 y (*.f64 y x)) (+.f64 y #s(literal -1 binary64)) #s(literal 1 binary64)))) (*.f64 x (*.f64 x x))) (fma.f64 (fma.f64 (-.f64 y (*.f64 y x)) (+.f64 y #s(literal -1 binary64)) #s(literal 1 binary64)) (fma.f64 (-.f64 y (*.f64 y x)) (+.f64 y #s(literal -1 binary64)) #s(literal 1 binary64)) (fma.f64 x x (*.f64 (fma.f64 (-.f64 y (*.f64 y x)) (+.f64 y #s(literal -1 binary64)) #s(literal 1 binary64)) x))))
(/.f64 (-.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (*.f64 (*.f64 (-.f64 y (*.f64 y x)) (+.f64 y #s(literal -1 binary64))) (*.f64 (-.f64 y (*.f64 y x)) (+.f64 y #s(literal -1 binary64))))) (-.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (-.f64 y (*.f64 y x)) (+.f64 y #s(literal -1 binary64)))))
(/.f64 (-.f64 (*.f64 (fma.f64 (-.f64 y (*.f64 y x)) (+.f64 y #s(literal -1 binary64)) #s(literal 1 binary64)) (fma.f64 (-.f64 y (*.f64 y x)) (+.f64 y #s(literal -1 binary64)) #s(literal 1 binary64))) (*.f64 x x)) (+.f64 (fma.f64 (-.f64 y (*.f64 y x)) (+.f64 y #s(literal -1 binary64)) #s(literal 1 binary64)) x))
(/.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 y x) (fma.f64 y x y) (*.f64 y y)) (-.f64 y (*.f64 y x))) (fma.f64 y (*.f64 y y) #s(literal -1 binary64))) (/.f64 (fma.f64 x (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 (fma.f64 (*.f64 y x) (fma.f64 y x y) (*.f64 y y)) (-.f64 (fma.f64 y y #s(literal 1 binary64)) (neg.f64 y))) #s(literal 1 binary64))) (*.f64 (*.f64 (fma.f64 (*.f64 y x) (fma.f64 y x y) (*.f64 y y)) (-.f64 (fma.f64 y y #s(literal 1 binary64)) (neg.f64 y))) (/.f64 (fma.f64 x (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))))
(/.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 y x) (fma.f64 y x y) (*.f64 y y)) (-.f64 y (*.f64 y x))) (fma.f64 y (*.f64 y y) #s(literal -1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (*.f64 (*.f64 (fma.f64 (*.f64 y x) (fma.f64 y x y) (*.f64 y y)) (-.f64 (fma.f64 y y #s(literal 1 binary64)) (neg.f64 y))) #s(literal 1 binary64))) (*.f64 (*.f64 (fma.f64 (*.f64 y x) (fma.f64 y x y) (*.f64 y y)) (-.f64 (fma.f64 y y #s(literal 1 binary64)) (neg.f64 y))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 x x)))))
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(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) (*.f64 y y)))) (neg.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y))))
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simplify563.0ms (5.5%)

Memory
10.9MiB live, 648.3MiB allocated
Algorithm
egg-herbie
Rules
15 664×accelerator-lowering-fma.f32
15 664×accelerator-lowering-fma.f64
3 778×+-lowering-+.f64
3 778×+-lowering-+.f32
3 304×*-lowering-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01601470
15391412
217621256
363501256
081681200
Stop Event
iter limit
node limit
Counts
204 → 204
Calls
Call 1
Inputs
(- 1 x)
(- (+ 1 (* -1 (* y (- 1 x)))) x)
(- (+ 1 (* y (+ (* -1 (- 1 x)) (* y (- 1 x))))) x)
(- (+ 1 (* y (+ (* -1 (- 1 x)) (* y (- 1 x))))) x)
(* (pow y 2) (- 1 x))
(* (pow y 2) (- (+ 1 (* -1 (/ (- 1 x) y))) x))
(* (pow y 2) (- (+ 1 (+ (* -1 (/ (- 1 x) y)) (/ 1 (pow y 2)))) (+ x (/ x (pow y 2)))))
(* (pow y 2) (- (+ 1 (+ (* -1 (/ (- 1 x) y)) (/ 1 (pow y 2)))) (+ x (/ x (pow y 2)))))
(* (pow y 2) (+ 1 (* -1 x)))
(* (pow y 2) (+ 1 (+ (* -1 x) (* -1 (/ (+ 1 (* -1 x)) y)))))
(* (pow y 2) (+ 1 (+ (* -1 x) (* -1 (/ (+ 1 (+ (* -1 x) (* -1 (/ (- 1 x) y)))) y)))))
(* (pow y 2) (+ 1 (+ (* -1 x) (* -1 (/ (+ 1 (+ (* -1 x) (* -1 (/ (- 1 x) y)))) y)))))
(+ 1 (* y (- y 1)))
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x
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(+ 1 (/ x y))
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
Outputs
(- 1 x)
(-.f64 #s(literal 1 binary64) x)
(- (+ 1 (* -1 (* y (- 1 x)))) x)
(*.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) x))
(- (+ 1 (* y (+ (* -1 (- 1 x)) (* y (- 1 x))))) x)
(-.f64 (fma.f64 (fma.f64 x (neg.f64 y) y) (+.f64 #s(literal -1 binary64) y) #s(literal 1 binary64)) x)
(- (+ 1 (* y (+ (* -1 (- 1 x)) (* y (- 1 x))))) x)
(-.f64 (fma.f64 (fma.f64 x (neg.f64 y) y) (+.f64 #s(literal -1 binary64) y) #s(literal 1 binary64)) x)
(* (pow y 2) (- 1 x))
(*.f64 y (fma.f64 x (neg.f64 y) y))
(* (pow y 2) (- (+ 1 (* -1 (/ (- 1 x) y))) x))
(*.f64 y (fma.f64 y (-.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) y) x) y))
(* (pow y 2) (- (+ 1 (+ (* -1 (/ (- 1 x) y)) (/ 1 (pow y 2)))) (+ x (/ x (pow y 2)))))
(*.f64 y (fma.f64 y (-.f64 (/.f64 (+.f64 #s(literal -1 binary64) (+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) x) y))) y) x) y))
(* (pow y 2) (- (+ 1 (+ (* -1 (/ (- 1 x) y)) (/ 1 (pow y 2)))) (+ x (/ x (pow y 2)))))
(*.f64 y (fma.f64 y (-.f64 (/.f64 (+.f64 #s(literal -1 binary64) (+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) x) y))) y) x) y))
(* (pow y 2) (+ 1 (* -1 x)))
(*.f64 y (fma.f64 x (neg.f64 y) y))
(* (pow y 2) (+ 1 (+ (* -1 x) (* -1 (/ (+ 1 (* -1 x)) y)))))
(*.f64 y (fma.f64 y (-.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) y) x) y))
(* (pow y 2) (+ 1 (+ (* -1 x) (* -1 (/ (+ 1 (+ (* -1 x) (* -1 (/ (- 1 x) y)))) y)))))
(*.f64 y (fma.f64 y (-.f64 (/.f64 (+.f64 #s(literal -1 binary64) (+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) x) y))) y) x) y))
(* (pow y 2) (+ 1 (+ (* -1 x) (* -1 (/ (+ 1 (+ (* -1 x) (* -1 (/ (- 1 x) y)))) y)))))
(*.f64 y (fma.f64 y (-.f64 (/.f64 (+.f64 #s(literal -1 binary64) (+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) x) y))) y) x) y))
(+ 1 (* y (- y 1)))
(fma.f64 y (+.f64 #s(literal -1 binary64) y) #s(literal 1 binary64))
(+ 1 (+ (* x (- (* -1 (* y (- y 1))) 1)) (* y (- y 1))))
(*.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 y (+.f64 #s(literal -1 binary64) y) #s(literal 1 binary64)))
(+ 1 (+ (* x (- (* -1 (* y (- y 1))) 1)) (* y (- y 1))))
(*.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 y (+.f64 #s(literal -1 binary64) y) #s(literal 1 binary64)))
(+ 1 (+ (* x (- (* -1 (* y (- y 1))) 1)) (* y (- y 1))))
(*.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 y (+.f64 #s(literal -1 binary64) y) #s(literal 1 binary64)))
(* x (- (* -1 (* y (- y 1))) 1))
(*.f64 x (fma.f64 y (-.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)))
(* x (- (+ (* -1 (* y (- y 1))) (+ (/ 1 x) (/ (* y (- y 1)) x))) 1))
(-.f64 (fma.f64 x (*.f64 (+.f64 #s(literal -1 binary64) y) (-.f64 (/.f64 y x) y)) #s(literal 1 binary64)) x)
(* x (- (+ (* -1 (* y (- y 1))) (+ (/ 1 x) (/ (* y (- y 1)) x))) 1))
(-.f64 (fma.f64 x (*.f64 (+.f64 #s(literal -1 binary64) y) (-.f64 (/.f64 y x) y)) #s(literal 1 binary64)) x)
(* x (- (+ (* -1 (* y (- y 1))) (+ (/ 1 x) (/ (* y (- y 1)) x))) 1))
(-.f64 (fma.f64 x (*.f64 (+.f64 #s(literal -1 binary64) y) (-.f64 (/.f64 y x) y)) #s(literal 1 binary64)) x)
(* -1 (* x (+ 1 (* y (- y 1)))))
(*.f64 x (fma.f64 y (-.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)))
(* -1 (* x (+ 1 (+ (* -1 (/ (+ 1 (* y (- y 1))) x)) (* y (- y 1))))))
(*.f64 x (+.f64 (fma.f64 y (-.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) (/.f64 (fma.f64 y (+.f64 #s(literal -1 binary64) y) #s(literal 1 binary64)) x)))
(* -1 (* x (+ 1 (+ (* -1 (/ (+ 1 (* y (- y 1))) x)) (* y (- y 1))))))
(*.f64 x (+.f64 (fma.f64 y (-.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) (/.f64 (fma.f64 y (+.f64 #s(literal -1 binary64) y) #s(literal 1 binary64)) x)))
(* -1 (* x (+ 1 (+ (* -1 (/ (+ 1 (* y (- y 1))) x)) (* y (- y 1))))))
(*.f64 x (+.f64 (fma.f64 y (-.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) (/.f64 (fma.f64 y (+.f64 #s(literal -1 binary64) y) #s(literal 1 binary64)) x)))
x
(+ x (* y (- 1 x)))
(fma.f64 x (-.f64 #s(literal 1 binary64) y) y)
(+ x (* y (- (+ 1 (* -1 (* y (- 1 x)))) x)))
(fma.f64 y (*.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) x)) x)
(+ x (* y (- (+ 1 (* y (+ (* -1 (- 1 x)) (* y (- 1 x))))) x)))
(fma.f64 y (-.f64 (fma.f64 (fma.f64 x (neg.f64 y) y) (+.f64 #s(literal -1 binary64) y) #s(literal 1 binary64)) x) x)
(* (pow y 3) (- 1 x))
(*.f64 y (*.f64 y (fma.f64 x (neg.f64 y) y)))
(* (pow y 3) (- (+ 1 (* -1 (/ (- 1 x) y))) x))
(*.f64 (*.f64 y y) (fma.f64 y (-.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) y) x) y))
(* (pow y 3) (- (+ 1 (+ (* -1 (/ (- 1 x) y)) (/ 1 (pow y 2)))) (+ x (/ x (pow y 2)))))
(*.f64 y (*.f64 y (fma.f64 y (-.f64 (/.f64 (+.f64 #s(literal -1 binary64) (+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) x) y))) y) x) y)))
(* (pow y 3) (- (+ 1 (+ (* -1 (/ (- 1 x) y)) (+ (/ 1 (pow y 2)) (/ x (pow y 3))))) (+ x (/ x (pow y 2)))))
(*.f64 (*.f64 y y) (fma.f64 y (+.f64 (/.f64 x (*.f64 y (*.f64 y y))) (-.f64 (/.f64 (+.f64 #s(literal -1 binary64) (+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) x) y))) y) x)) y))
(* (pow y 3) (+ 1 (* -1 x)))
(*.f64 y (*.f64 y (fma.f64 x (neg.f64 y) y)))
(* -1 (* (pow y 3) (+ (* -1 (+ 1 (* -1 x))) (+ (* -1 (/ x y)) (/ 1 y)))))
(*.f64 (*.f64 y y) (fma.f64 y (-.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) y) x) y))
(* -1 (* (pow y 3) (+ (* -1 (+ 1 (* -1 x))) (* -1 (/ (- (+ (* -1 (+ 1 (* -1 x))) (/ 1 y)) (/ x y)) y)))))
(*.f64 y (*.f64 y (fma.f64 y (-.f64 (/.f64 (+.f64 #s(literal -1 binary64) (+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) x) y))) y) x) y)))
(* -1 (* (pow y 3) (+ (* -1 (+ 1 (* -1 x))) (* -1 (/ (+ (* -1 (+ 1 (* -1 x))) (* -1 (/ (+ (* -1 (- 1 x)) (* -1 (/ x y))) y))) y)))))
(*.f64 (*.f64 y (*.f64 y y)) (+.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (+.f64 x (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 x y) x)) y))) y)))
(* y (+ 1 (* y (- y 1))))
(fma.f64 y (-.f64 (*.f64 y y) y) y)
(+ (* x (+ 1 (* y (- (* -1 (* y (- y 1))) 1)))) (* y (+ 1 (* y (- y 1)))))
(fma.f64 y (*.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 y (+.f64 #s(literal -1 binary64) y) #s(literal 1 binary64))) x)
(+ (* x (+ 1 (* y (- (* -1 (* y (- y 1))) 1)))) (* y (+ 1 (* y (- y 1)))))
(fma.f64 y (*.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 y (+.f64 #s(literal -1 binary64) y) #s(literal 1 binary64))) x)
(+ (* x (+ 1 (* y (- (* -1 (* y (- y 1))) 1)))) (* y (+ 1 (* y (- y 1)))))
(fma.f64 y (*.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 y (+.f64 #s(literal -1 binary64) y) #s(literal 1 binary64))) x)
(* x (+ 1 (* y (- (* -1 (* y (- y 1))) 1))))
(fma.f64 y (*.f64 x (fma.f64 y (-.f64 #s(literal 1 binary64) y) #s(literal -1 binary64))) x)
(* x (+ 1 (+ (* y (- (* -1 (* y (- y 1))) 1)) (/ (* y (+ 1 (* y (- y 1)))) x))))
(fma.f64 (neg.f64 x) (*.f64 (fma.f64 y (+.f64 #s(literal -1 binary64) y) #s(literal 1 binary64)) (-.f64 y (/.f64 y x))) x)
(* x (+ 1 (+ (* y (- (* -1 (* y (- y 1))) 1)) (/ (* y (+ 1 (* y (- y 1)))) x))))
(fma.f64 (neg.f64 x) (*.f64 (fma.f64 y (+.f64 #s(literal -1 binary64) y) #s(literal 1 binary64)) (-.f64 y (/.f64 y x))) x)
(* x (+ 1 (+ (* y (- (* -1 (* y (- y 1))) 1)) (/ (* y (+ 1 (* y (- y 1)))) x))))
(fma.f64 (neg.f64 x) (*.f64 (fma.f64 y (+.f64 #s(literal -1 binary64) y) #s(literal 1 binary64)) (-.f64 y (/.f64 y x))) x)
(* -1 (* x (- (* y (+ 1 (* y (- y 1)))) 1)))
(fma.f64 y (*.f64 x (fma.f64 y (-.f64 #s(literal 1 binary64) y) #s(literal -1 binary64))) x)
(* -1 (* x (- (+ (* -1 (/ (* y (+ 1 (* y (- y 1)))) x)) (* y (+ 1 (* y (- y 1))))) 1)))
(fma.f64 (neg.f64 x) (*.f64 (fma.f64 y (+.f64 #s(literal -1 binary64) y) #s(literal 1 binary64)) (-.f64 y (/.f64 y x))) x)
(* -1 (* x (- (+ (* -1 (/ (* y (+ 1 (* y (- y 1)))) x)) (* y (+ 1 (* y (- y 1))))) 1)))
(fma.f64 (neg.f64 x) (*.f64 (fma.f64 y (+.f64 #s(literal -1 binary64) y) #s(literal 1 binary64)) (-.f64 y (/.f64 y x))) x)
(* -1 (* x (- (+ (* -1 (/ (* y (+ 1 (* y (- y 1)))) x)) (* y (+ 1 (* y (- y 1))))) 1)))
(fma.f64 (neg.f64 x) (*.f64 (fma.f64 y (+.f64 #s(literal -1 binary64) y) #s(literal 1 binary64)) (-.f64 y (/.f64 y x))) x)
(* y (- 1 x))
(fma.f64 x (neg.f64 y) y)
(* y (- 1 x))
(fma.f64 x (neg.f64 y) y)
(* y (- 1 x))
(fma.f64 x (neg.f64 y) y)
(* y (- 1 x))
(fma.f64 x (neg.f64 y) y)
(* y (- 1 x))
(fma.f64 x (neg.f64 y) y)
(* y (- 1 x))
(fma.f64 x (neg.f64 y) y)
(* y (- 1 x))
(fma.f64 x (neg.f64 y) y)
(* y (- 1 x))
(fma.f64 x (neg.f64 y) y)
(* y (+ 1 (* -1 x)))
(fma.f64 x (neg.f64 y) y)
(* y (+ 1 (* -1 x)))
(fma.f64 x (neg.f64 y) y)
(* y (+ 1 (* -1 x)))
(fma.f64 x (neg.f64 y) y)
(* y (+ 1 (* -1 x)))
(fma.f64 x (neg.f64 y) y)
y
(+ y (* -1 (* x y)))
(fma.f64 x (neg.f64 y) y)
(+ y (* -1 (* x y)))
(fma.f64 x (neg.f64 y) y)
(+ y (* -1 (* x y)))
(fma.f64 x (neg.f64 y) y)
(* -1 (* x y))
(*.f64 x (neg.f64 y))
(* x (- (/ y x) y))
(fma.f64 x (neg.f64 y) y)
(* x (- (/ y x) y))
(fma.f64 x (neg.f64 y) y)
(* x (- (/ y x) y))
(fma.f64 x (neg.f64 y) y)
(* -1 (* x y))
(*.f64 x (neg.f64 y))
(* -1 (* x (- (* -1 (/ y x)) (* -1 y))))
(fma.f64 x (neg.f64 y) y)
(* -1 (* x (- (* -1 (/ y x)) (* -1 y))))
(fma.f64 x (neg.f64 y) y)
(* -1 (* x (- (* -1 (/ y x)) (* -1 y))))
(fma.f64 x (neg.f64 y) y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
x
(+ x y)
(+.f64 x y)
(+ x y)
(+.f64 x y)
(+ x y)
(+.f64 x y)
y
(* y (+ 1 (/ x y)))
(fma.f64 x (/.f64 y y) y)
(* y (+ 1 (/ x y)))
(fma.f64 x (/.f64 y y) y)
(* y (+ 1 (/ x y)))
(fma.f64 x (/.f64 y y) y)
y
(* -1 (* y (- (* -1 (/ x y)) 1)))
(fma.f64 x (/.f64 y y) y)
(* -1 (* y (- (* -1 (/ x y)) 1)))
(fma.f64 x (/.f64 y y) y)
(* -1 (* y (- (* -1 (/ x y)) 1)))
(fma.f64 x (/.f64 y y) y)
y
(+ x y)
(+.f64 x y)
(+ x y)
(+.f64 x y)
(+ x y)
(+.f64 x y)
x
(* x (+ 1 (/ y x)))
(+.f64 x y)
(* x (+ 1 (/ y x)))
(+.f64 x y)
(* x (+ 1 (/ y x)))
(+.f64 x y)
x
(* -1 (* x (- (* -1 (/ y x)) 1)))
(+.f64 x y)
(* -1 (* x (- (* -1 (/ y x)) 1)))
(+.f64 x y)
(* -1 (* x (- (* -1 (/ y x)) 1)))
(+.f64 x y)
x
(+ x (* -1 (* x y)))
(-.f64 x (*.f64 x y))
(+ x (* -1 (* x y)))
(-.f64 x (*.f64 x y))
(+ x (* -1 (* x y)))
(-.f64 x (*.f64 x y))
(* -1 (* x y))
(*.f64 x (neg.f64 y))
(* y (+ (* -1 x) (/ x y)))
(*.f64 y (-.f64 (/.f64 x y) x))
(* y (+ (* -1 x) (/ x y)))
(*.f64 y (-.f64 (/.f64 x y) x))
(* y (+ (* -1 x) (/ x y)))
(*.f64 y (-.f64 (/.f64 x y) x))
(* -1 (* x y))
(*.f64 x (neg.f64 y))
(* -1 (* y (+ x (* -1 (/ x y)))))
(*.f64 y (-.f64 (/.f64 x y) x))
(* -1 (* y (+ x (* -1 (/ x y)))))
(*.f64 y (-.f64 (/.f64 x y) x))
(* -1 (* y (+ x (* -1 (/ x y)))))
(*.f64 y (-.f64 (/.f64 x y) x))
(* x (+ 1 (* -1 y)))
(-.f64 x (*.f64 x y))
(* x (+ 1 (* -1 y)))
(-.f64 x (*.f64 x y))
(* x (+ 1 (* -1 y)))
(-.f64 x (*.f64 x y))
(* x (+ 1 (* -1 y)))
(-.f64 x (*.f64 x y))
(* x (+ 1 (* -1 y)))
(-.f64 x (*.f64 x y))
(* x (+ 1 (* -1 y)))
(-.f64 x (*.f64 x y))
(* x (+ 1 (* -1 y)))
(-.f64 x (*.f64 x y))
(* x (+ 1 (* -1 y)))
(-.f64 x (*.f64 x y))
(* -1 (* x (- y 1)))
(-.f64 x (*.f64 x y))
(* -1 (* x (- y 1)))
(-.f64 x (*.f64 x y))
(* -1 (* x (- y 1)))
(-.f64 x (*.f64 x y))
(* -1 (* x (- y 1)))
(-.f64 x (*.f64 x y))
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
1
#s(literal 1 binary64)
(+ 1 (/ x y))
(+.f64 #s(literal 1 binary64) (/.f64 x y))
(+ 1 (/ x y))
(+.f64 #s(literal 1 binary64) (/.f64 x y))
(+ 1 (/ x y))
(+.f64 #s(literal 1 binary64) (/.f64 x y))
(/ x y)
(/.f64 x y)
(* x (+ (/ 1 x) (/ 1 y)))
(+.f64 #s(literal 1 binary64) (/.f64 x y))
(* x (+ (/ 1 x) (/ 1 y)))
(+.f64 #s(literal 1 binary64) (/.f64 x y))
(* x (+ (/ 1 x) (/ 1 y)))
(+.f64 #s(literal 1 binary64) (/.f64 x y))
(/ x y)
(/.f64 x y)
(* x (+ (/ 1 x) (/ 1 y)))
(+.f64 #s(literal 1 binary64) (/.f64 x y))
(* x (+ (/ 1 x) (/ 1 y)))
(+.f64 #s(literal 1 binary64) (/.f64 x y))
(* x (+ (/ 1 x) (/ 1 y)))
(+.f64 #s(literal 1 binary64) (/.f64 x y))
(/ x y)
(/.f64 x y)
(/ (+ x y) y)
(/.f64 (+.f64 x y) y)
(/ (+ x y) y)
(/.f64 (+.f64 x y) y)
(/ (+ x y) y)
(/.f64 (+.f64 x y) y)
1
#s(literal 1 binary64)
(+ 1 (/ x y))
(+.f64 #s(literal 1 binary64) (/.f64 x y))
(+ 1 (/ x y))
(+.f64 #s(literal 1 binary64) (/.f64 x y))
(+ 1 (/ x y))
(+.f64 #s(literal 1 binary64) (/.f64 x y))
1
#s(literal 1 binary64)
(+ 1 (/ x y))
(+.f64 #s(literal 1 binary64) (/.f64 x y))
(+ 1 (/ x y))
(+.f64 #s(literal 1 binary64) (/.f64 x y))
(+ 1 (/ x y))
(+.f64 #s(literal 1 binary64) (/.f64 x y))
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)

eval123.0ms (1.2%)

Memory
10.4MiB live, 269.5MiB allocated
Compiler

Compiled 30 524 to 2 347 computations (92.3% saved)

prune103.0ms (1%)

Memory
-6.8MiB live, 277.8MiB allocated
Pruning

14 alts after pruning (7 fresh and 7 done)

PrunedKeptTotal
New7982800
Fresh055
Picked235
Done044
Total80014814
Accuracy
100.0%
Counts
814 → 14
Alt Table
Click to see full alt table
StatusAccuracyProgram
54.1%
(fma.f64 y (-.f64 #s(literal 1 binary64) x) x)
54.5%
(fma.f64 y (*.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 y (+.f64 #s(literal -1 binary64) y) #s(literal 1 binary64))) x)
39.3%
(fma.f64 y (neg.f64 x) x)
28.7%
(/.f64 (-.f64 (*.f64 y y) y) (fma.f64 y y #s(literal -1 binary64)))
100.0%
(/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64)))
49.2%
(/.f64 y (+.f64 y #s(literal 1 binary64)))
52.2%
(/.f64 x (+.f64 y #s(literal 1 binary64)))
15.5%
(/.f64 x y)
17.6%
(-.f64 y (*.f64 y y))
54.3%
(+.f64 y x)
47.2%
(+.f64 #s(literal 1 binary64) (/.f64 x y))
17.9%
y
39.6%
x
34.0%
#s(literal 1 binary64)
Compiler

Compiled 152 to 96 computations (36.8% saved)

simplify426.0ms (4.2%)

Memory
6.1MiB live, 569.1MiB allocated
Algorithm
egg-herbie
Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f64 x y)
cost-diff0
(*.f64 y y)
cost-diff0
(-.f64 y (*.f64 y y))
cost-diff0
(+.f64 y x)
cost-diff0
(fma.f64 y (+.f64 #s(literal -1 binary64) y) #s(literal 1 binary64))
cost-diff0
(-.f64 #s(literal 1 binary64) x)
cost-diff0
(*.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 y (+.f64 #s(literal -1 binary64) y) #s(literal 1 binary64)))
cost-diff0
(fma.f64 y (*.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 y (+.f64 #s(literal -1 binary64) y) #s(literal 1 binary64))) x)
Rules
13 686×accelerator-lowering-fma.f32
13 686×accelerator-lowering-fma.f64
2 624×*-lowering-*.f32
2 624×*-lowering-*.f64
2 154×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01563
14363
213663
350063
4201563
5446363
6723463
0809259
Stop Event
iter limit
node limit
Calls
Call 1
Inputs
(+ (* y (* (- 1 x) (+ (* y (+ -1 y)) 1))) x)
y
(* (- 1 x) (+ (* y (+ -1 y)) 1))
(- 1 x)
1
x
(+ (* y (+ -1 y)) 1)
(+ -1 y)
-1
y
(+ y x)
y
x
(- y (* y y))
y
(* y y)
(/ x y)
x
y
Outputs
(+ (* y (* (- 1 x) (+ (* y (+ -1 y)) 1))) x)
(fma.f64 y (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (fma.f64 y y #s(literal 1 binary64)) y)) x)
y
(* (- 1 x) (+ (* y (+ -1 y)) 1))
(*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (fma.f64 y y #s(literal 1 binary64)) y))
(- 1 x)
(-.f64 #s(literal 1 binary64) x)
1
#s(literal 1 binary64)
x
(+ (* y (+ -1 y)) 1)
(-.f64 (fma.f64 y y #s(literal 1 binary64)) y)
(+ -1 y)
(+.f64 y #s(literal -1 binary64))
-1
#s(literal -1 binary64)
y
(+ y x)
(+.f64 y x)
y
x
(- y (* y y))
(-.f64 y (*.f64 y y))
y
(* y y)
(*.f64 y y)
(/ x y)
(/.f64 x y)
x
y

localize68.0ms (0.7%)

Memory
17.3MiB live, 92.1MiB allocated
Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(/.f64 x y)
accuracy100.0%
(-.f64 y (*.f64 y y))
accuracy100.0%
(*.f64 y y)
accuracy100.0%
(+.f64 y x)
accuracy100.0%
(-.f64 #s(literal 1 binary64) x)
accuracy100.0%
(+.f64 #s(literal -1 binary64) y)
accuracy100.0%
(fma.f64 y (*.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 y (+.f64 #s(literal -1 binary64) y) #s(literal 1 binary64))) x)
accuracy100.0%
(*.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 y (+.f64 #s(literal -1 binary64) y) #s(literal 1 binary64)))
Samples
53.0ms256×0valid
Compiler

Compiled 61 to 17 computations (72.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 42.0ms
ival-add: 28.0ms (66.7% of total)
ival-mult: 6.0ms (14.3% of total)
ival-div: 4.0ms (9.5% of total)
ival-sub: 3.0ms (7.1% 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
10.2MiB live, 10.2MiB allocated
Counts
9 → 156
Calls
Call 1
Inputs
#<alt (+ (* y (* (- 1 x) (+ (* y (+ -1 y)) 1))) x)>
#<alt (* (- 1 x) (+ (* y (+ -1 y)) 1))>
#<alt (- 1 x)>
#<alt (+ (* y (+ -1 y)) 1)>
#<alt (+ y x)>
#<alt (- y (* y y))>
#<alt (* y y)>
#<alt (/ x y)>
#<alt (+ -1 y)>
Outputs
#<alt x>
#<alt (+ x (* y (- 1 x)))>
#<alt (+ x (* y (- (+ 1 (* -1 (* y (- 1 x)))) x)))>
#<alt (+ x (* y (- (+ 1 (* y (+ (* -1 (- 1 x)) (* y (- 1 x))))) x)))>
#<alt (* (pow y 3) (- 1 x))>
#<alt (* (pow y 3) (- (+ 1 (* -1 (/ (- 1 x) y))) x))>
#<alt (* (pow y 3) (- (+ 1 (+ (* -1 (/ (- 1 x) y)) (/ 1 (pow y 2)))) (+ x (/ x (pow y 2)))))>
#<alt (* (pow y 3) (- (+ 1 (+ (* -1 (/ (- 1 x) y)) (+ (/ 1 (pow y 2)) (/ x (pow y 3))))) (+ x (/ x (pow y 2)))))>
#<alt (* (pow y 3) (- 1 x))>
#<alt (* -1 (* (pow y 3) (- (+ (* -1 (- 1 x)) (/ 1 y)) (/ x y))))>
#<alt (* -1 (* (pow y 3) (+ (* -1 (- 1 x)) (* -1 (/ (- (+ (* -1 (- 1 x)) (/ 1 y)) (/ x y)) y)))))>
#<alt (* -1 (* (pow y 3) (+ (* -1 (- 1 x)) (* -1 (/ (+ (* -1 (- 1 x)) (* -1 (/ (+ (* -1 (- 1 x)) (* -1 (/ x y))) y))) y)))))>
#<alt (* y (+ 1 (* y (- y 1))))>
#<alt (+ (* x (+ 1 (* -1 (* y (+ 1 (* y (- y 1))))))) (* y (+ 1 (* y (- y 1)))))>
#<alt (+ (* x (+ 1 (* -1 (* y (+ 1 (* y (- y 1))))))) (* y (+ 1 (* y (- y 1)))))>
#<alt (+ (* x (+ 1 (* -1 (* y (+ 1 (* y (- y 1))))))) (* y (+ 1 (* y (- y 1)))))>
#<alt (* x (+ 1 (* -1 (* y (+ 1 (* y (- y 1)))))))>
#<alt (* x (+ 1 (+ (* -1 (* y (+ 1 (* y (- y 1))))) (/ (* y (+ 1 (* y (- y 1)))) x))))>
#<alt (* x (+ 1 (+ (* -1 (* y (+ 1 (* y (- y 1))))) (/ (* y (+ 1 (* y (- y 1)))) x))))>
#<alt (* x (+ 1 (+ (* -1 (* y (+ 1 (* y (- y 1))))) (/ (* y (+ 1 (* y (- y 1)))) x))))>
#<alt (* -1 (* x (- (* y (+ 1 (* y (- y 1)))) 1)))>
#<alt (* -1 (* x (- (+ (* -1 (/ (* y (+ 1 (* y (- y 1)))) x)) (* y (+ 1 (* y (- y 1))))) 1)))>
#<alt (* -1 (* x (- (+ (* -1 (/ (* y (+ 1 (* y (- y 1)))) x)) (* y (+ 1 (* y (- y 1))))) 1)))>
#<alt (* -1 (* x (- (+ (* -1 (/ (* y (+ 1 (* y (- y 1)))) x)) (* y (+ 1 (* y (- y 1))))) 1)))>
#<alt (+ 1 (* y (- y 1)))>
#<alt (+ 1 (+ (* -1 (* x (+ 1 (* y (- y 1))))) (* y (- y 1))))>
#<alt (+ 1 (+ (* -1 (* x (+ 1 (* y (- y 1))))) (* y (- y 1))))>
#<alt (+ 1 (+ (* -1 (* x (+ 1 (* y (- y 1))))) (* y (- y 1))))>
#<alt (* -1 (* x (+ 1 (* y (- y 1)))))>
#<alt (* x (+ (* -1 (+ 1 (* y (- y 1)))) (+ (/ 1 x) (/ (* y (- y 1)) x))))>
#<alt (* x (+ (* -1 (+ 1 (* y (- y 1)))) (+ (/ 1 x) (/ (* y (- y 1)) x))))>
#<alt (* x (+ (* -1 (+ 1 (* y (- y 1)))) (+ (/ 1 x) (/ (* y (- y 1)) x))))>
#<alt (* -1 (* x (+ 1 (* y (- y 1)))))>
#<alt (* -1 (* x (+ 1 (+ (* -1 (/ (+ 1 (* y (- y 1))) x)) (* y (- y 1))))))>
#<alt (* -1 (* x (+ 1 (+ (* -1 (/ (+ 1 (* y (- y 1))) x)) (* y (- y 1))))))>
#<alt (* -1 (* x (+ 1 (+ (* -1 (/ (+ 1 (* y (- y 1))) x)) (* y (- y 1))))))>
#<alt (- 1 x)>
#<alt (- (+ 1 (* -1 (* y (- 1 x)))) x)>
#<alt (- (+ 1 (* y (+ (* -1 (- 1 x)) (* y (- 1 x))))) x)>
#<alt (- (+ 1 (* y (+ (* -1 (- 1 x)) (* y (- 1 x))))) x)>
#<alt (* (pow y 2) (- 1 x))>
#<alt (* (pow y 2) (- (+ 1 (* -1 (/ (- 1 x) y))) x))>
#<alt (* (pow y 2) (- (+ 1 (+ (* -1 (/ (- 1 x) y)) (/ 1 (pow y 2)))) (+ x (/ x (pow y 2)))))>
#<alt (* (pow y 2) (- (+ 1 (+ (* -1 (/ (- 1 x) y)) (/ 1 (pow y 2)))) (+ x (/ x (pow y 2)))))>
#<alt (* (pow y 2) (- 1 x))>
#<alt (* (pow y 2) (- (+ 1 (* -1 (/ (- 1 x) y))) x))>
#<alt (* (pow y 2) (- (+ 1 (* -1 (/ (- (+ 1 (* -1 (/ (- 1 x) y))) x) y))) x))>
#<alt (* (pow y 2) (- (+ 1 (* -1 (/ (- (+ 1 (* -1 (/ (- 1 x) y))) x) y))) x))>
#<alt 1>
#<alt (+ 1 (* -1 x))>
#<alt (+ 1 (* -1 x))>
#<alt (+ 1 (* -1 x))>
#<alt (* -1 x)>
#<alt (* x (- (/ 1 x) 1))>
#<alt (* x (- (/ 1 x) 1))>
#<alt (* x (- (/ 1 x) 1))>
#<alt (* -1 x)>
#<alt (* -1 (* x (- 1 (/ 1 x))))>
#<alt (* -1 (* x (- 1 (/ 1 x))))>
#<alt (* -1 (* x (- 1 (/ 1 x))))>
#<alt 1>
#<alt (+ 1 (* -1 y))>
#<alt (+ 1 (* y (- y 1)))>
#<alt (+ 1 (* y (- y 1)))>
#<alt (pow y 2)>
#<alt (* (pow y 2) (- 1 (/ 1 y)))>
#<alt (* (pow y 2) (- (+ 1 (/ 1 (pow y 2))) (/ 1 y)))>
#<alt (* (pow y 2) (- (+ 1 (/ 1 (pow y 2))) (/ 1 y)))>
#<alt (pow y 2)>
#<alt (* (pow y 2) (- 1 (/ 1 y)))>
#<alt (* (pow y 2) (+ 1 (* -1 (/ (- 1 (/ 1 y)) y))))>
#<alt (* (pow y 2) (+ 1 (* -1 (/ (- 1 (/ 1 y)) y))))>
#<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 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 y>
#<alt (* y (+ 1 (* -1 y)))>
#<alt (* y (+ 1 (* -1 y)))>
#<alt (* y (+ 1 (* -1 y)))>
#<alt (* -1 (pow y 2))>
#<alt (* (pow y 2) (- (/ 1 y) 1))>
#<alt (* (pow y 2) (- (/ 1 y) 1))>
#<alt (* (pow y 2) (- (/ 1 y) 1))>
#<alt (* -1 (pow y 2))>
#<alt (* (pow y 2) (- (/ 1 y) 1))>
#<alt (* (pow y 2) (- (/ 1 y) 1))>
#<alt (* (pow y 2) (- (/ 1 y) 1))>
#<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 (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt -1>
#<alt (- y 1)>
#<alt (- y 1)>
#<alt (- y 1)>
#<alt y>
#<alt (* y (- 1 (/ 1 y)))>
#<alt (* y (- 1 (/ 1 y)))>
#<alt (* y (- 1 (/ 1 y)))>
#<alt y>
#<alt (* -1 (* y (- (/ 1 y) 1)))>
#<alt (* -1 (* y (- (/ 1 y) 1)))>
#<alt (* -1 (* y (- (/ 1 y) 1)))>
Calls

39 calls:

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

rewrite530.0ms (5.2%)

Memory
-15.4MiB live, 830.2MiB allocated
Algorithm
batch-egg-rewrite
Rules
13 206×accelerator-lowering-fma.f32
13 206×accelerator-lowering-fma.f64
5 056×*-lowering-*.f32
5 056×*-lowering-*.f64
3 076×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01553
111153
298853
0878949
Stop Event
iter limit
node limit
Counts
9 → 710
Calls
Call 1
Inputs
(+ (* y (* (- 1 x) (+ (* y (+ -1 y)) 1))) x)
(* (- 1 x) (+ (* y (+ -1 y)) 1))
(- 1 x)
(+ (* y (+ -1 y)) 1)
(+ y x)
(- y (* y y))
(* y y)
(/ x y)
(+ -1 y)
Outputs
(+.f64 x (*.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 y (-.f64 (*.f64 y y) y) y)))
(+.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 y (-.f64 (*.f64 y y) y) y)) x)
(+.f64 (fma.f64 y (neg.f64 x) y) (fma.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (-.f64 (*.f64 y y) y)) x))
(+.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (fma.f64 y (+.f64 y #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 y (+.f64 y #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 y (neg.f64 x) y) y)))) (fma.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 y (-.f64 (*.f64 y y) y) y) (neg.f64 x))) (neg.f64 (/.f64 (*.f64 x x) (fma.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 y (-.f64 (*.f64 y y) y) y) (neg.f64 x)))))
(+.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (-.f64 (*.f64 y y) y))) (fma.f64 y (-.f64 #s(literal 1 binary64) x) x))
(+.f64 (+.f64 x (fma.f64 y (neg.f64 x) y)) (*.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (-.f64 (*.f64 y y) y))))
(+.f64 (+.f64 x (*.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (-.f64 (*.f64 y y) y)))) (fma.f64 y (neg.f64 x) y))
(-.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (fma.f64 y (+.f64 y #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 y (+.f64 y #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 y (neg.f64 x) y) y)))) (fma.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 y (-.f64 (*.f64 y y) y) y) (neg.f64 x))) (/.f64 (*.f64 x x) (fma.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 y (-.f64 (*.f64 y y) y) y) (neg.f64 x))))
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (*.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 y (-.f64 (*.f64 y y) y) y)))) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (fma.f64 y (+.f64 y #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 y (+.f64 y #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 y (neg.f64 x) y) y)))) (-.f64 x (*.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 y (-.f64 (*.f64 y y) y) y)))))
(fma.f64 y (-.f64 #s(literal 1 binary64) x) (fma.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (-.f64 (*.f64 y y) y)) x))
(fma.f64 y (*.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 y (+.f64 y #s(literal -1 binary64)) #s(literal 1 binary64))) x)
(fma.f64 y (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (*.f64 y y) y)) (fma.f64 y (-.f64 #s(literal 1 binary64) x) x))
(fma.f64 #s(literal 1 binary64) x (*.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 y (-.f64 (*.f64 y y) y) y)))
(fma.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 y (-.f64 (*.f64 y y) y) y)) x)
(fma.f64 #s(literal 1 binary64) (fma.f64 y (neg.f64 x) y) (fma.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (-.f64 (*.f64 y y) y)) x))
(fma.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (-.f64 (*.f64 y y) y))) (fma.f64 y (-.f64 #s(literal 1 binary64) x) x))
(fma.f64 x #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 y (-.f64 (*.f64 y y) y) y)))
(fma.f64 (-.f64 #s(literal 1 binary64) x) y (fma.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (-.f64 (*.f64 y y) y)) x))
(fma.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (-.f64 (*.f64 y y) y)) (fma.f64 y (-.f64 #s(literal 1 binary64) x) x))
(fma.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 y (-.f64 (*.f64 y y) y) y) x)
(fma.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (fma.f64 y (+.f64 y #s(literal -1 binary64)) #s(literal 1 binary64)) y) x)
(fma.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y (+.f64 y #s(literal -1 binary64)) #s(literal 1 binary64)) y)) x)
(fma.f64 #s(literal -1 binary64) (neg.f64 x) (*.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 y (-.f64 (*.f64 y y) y) y)))
(fma.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 (fma.f64 y (neg.f64 x) y) y) (fma.f64 y (-.f64 #s(literal 1 binary64) x) x))
(fma.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 y (fma.f64 y (neg.f64 x) y)) (fma.f64 y (-.f64 #s(literal 1 binary64) x) x))
(fma.f64 (-.f64 (*.f64 y y) y) (fma.f64 y (neg.f64 x) y) (fma.f64 y (-.f64 #s(literal 1 binary64) x) x))
(fma.f64 (fma.f64 y (+.f64 y #s(literal -1 binary64)) #s(literal 1 binary64)) (fma.f64 y (neg.f64 x) y) x)
(fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 y (+.f64 y #s(literal -1 binary64)) #s(literal 1 binary64))) y x)
(fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 y (-.f64 (*.f64 y y) y) y)) #s(literal 1 binary64) x)
(fma.f64 (*.f64 y y) (*.f64 (+.f64 y #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) x)) (fma.f64 y (-.f64 #s(literal 1 binary64) x) x))
(fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (fma.f64 y (+.f64 y #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 y (+.f64 y #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 y (neg.f64 x) y) y)))) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 y (-.f64 (*.f64 y y) y) y) (neg.f64 x))) (neg.f64 (/.f64 (*.f64 x x) (fma.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 y (-.f64 (*.f64 y y) y) y) (neg.f64 x)))))
(fma.f64 (fma.f64 (-.f64 (*.f64 y y) y) (*.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 y (-.f64 (*.f64 y y) y))) #s(literal 1 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 y (-.f64 (*.f64 y y) y)) #s(literal 1 binary64)) (-.f64 y (*.f64 y y)))) (fma.f64 y (neg.f64 x) y)) x)
(fma.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 x x x))) (*.f64 (fma.f64 y (+.f64 y #s(literal -1 binary64)) #s(literal 1 binary64)) y)) x)
(fma.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 x x x))) y) (fma.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (-.f64 (*.f64 y y) y)) x))
(fma.f64 (fma.f64 (-.f64 (*.f64 y y) y) (-.f64 (*.f64 y y) y) #s(literal -1 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (+.f64 y #s(literal -1 binary64)) #s(literal -1 binary64))) (fma.f64 y (neg.f64 x) y)) x)
(fma.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (*.f64 (fma.f64 y (+.f64 y #s(literal -1 binary64)) #s(literal 1 binary64)) y)) x)
(fma.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) y) (fma.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (-.f64 (*.f64 y y) y)) x))
(fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (*.f64 y y) y)) y (fma.f64 y (-.f64 #s(literal 1 binary64) x) x))
(fma.f64 (fma.f64 y (neg.f64 x) y) #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (-.f64 (*.f64 y y) y)) x))
(fma.f64 (fma.f64 y (neg.f64 x) y) (-.f64 (*.f64 y y) y) (fma.f64 y (-.f64 #s(literal 1 binary64) x) x))
(fma.f64 (fma.f64 y (neg.f64 x) y) (fma.f64 y (+.f64 y #s(literal -1 binary64)) #s(literal 1 binary64)) x)
(fma.f64 (*.f64 (fma.f64 y (neg.f64 x) y) y) (+.f64 y #s(literal -1 binary64)) (fma.f64 y (-.f64 #s(literal 1 binary64) x) x))
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(fma.f64 (pow.f64 y #s(literal 1/2 binary64)) (pow.f64 y #s(literal 1/2 binary64)) #s(literal -1 binary64))
(neg.f64 (-.f64 #s(literal 1 binary64) y))
(neg.f64 (/.f64 (fma.f64 y (*.f64 y y) #s(literal -1 binary64)) (fma.f64 y (-.f64 #s(literal -1 binary64) y) #s(literal -1 binary64))))
(neg.f64 (/.f64 (fma.f64 y (*.f64 y (neg.f64 y)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (fma.f64 y y y))))
(neg.f64 (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 y y)) (-.f64 #s(literal -1 binary64) y)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y y (+.f64 #s(literal 1 binary64) y)) (fma.f64 y (*.f64 y y) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 y #s(literal 1 binary64)) (fma.f64 y y #s(literal -1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64)))))
(/.f64 (fma.f64 y (*.f64 y y) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (fma.f64 y y y)))
(/.f64 (fma.f64 y (*.f64 y y) #s(literal -1 binary64)) (fma.f64 y y (+.f64 #s(literal 1 binary64) y)))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (-.f64 #s(literal -1 binary64) y))
(/.f64 (fma.f64 y (*.f64 y (neg.f64 y)) #s(literal 1 binary64)) (fma.f64 y (-.f64 #s(literal -1 binary64) y) #s(literal -1 binary64)))
(/.f64 (fma.f64 y (*.f64 y (neg.f64 y)) #s(literal 1 binary64)) (neg.f64 (fma.f64 y y (+.f64 #s(literal 1 binary64) y))))
(/.f64 (+.f64 #s(literal -1 binary64) (*.f64 y y)) (+.f64 #s(literal 1 binary64) y))
(/.f64 (fma.f64 y y #s(literal -1 binary64)) (+.f64 y #s(literal 1 binary64)))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) y)) (*.f64 (-.f64 #s(literal -1 binary64) y) (*.f64 y y))) (*.f64 (-.f64 #s(literal -1 binary64) y) (-.f64 #s(literal -1 binary64) y)))
(/.f64 (neg.f64 (fma.f64 y (*.f64 y (neg.f64 y)) #s(literal 1 binary64))) (neg.f64 (fma.f64 y (-.f64 #s(literal -1 binary64) y) #s(literal -1 binary64))))
(/.f64 (neg.f64 (+.f64 #s(literal -1 binary64) (*.f64 y y))) (neg.f64 (+.f64 #s(literal 1 binary64) y)))
(/.f64 (neg.f64 (fma.f64 y y #s(literal -1 binary64))) (neg.f64 (+.f64 y #s(literal 1 binary64))))
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) y)) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 y y) (-.f64 #s(literal -1 binary64) y)) #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) y)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) y)) (fma.f64 (/.f64 (*.f64 y y) (-.f64 #s(literal -1 binary64) y)) (/.f64 (*.f64 y y) (-.f64 #s(literal -1 binary64) y)) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) y)) (/.f64 (*.f64 y y) (-.f64 #s(literal -1 binary64) y))))))
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) y)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) y))) (*.f64 (/.f64 (*.f64 y y) (-.f64 #s(literal -1 binary64) y)) (/.f64 (*.f64 y y) (-.f64 #s(literal -1 binary64) y)))) (+.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) y)) (/.f64 (*.f64 y y) (-.f64 #s(literal -1 binary64) y))))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64)))
(*.f64 (+.f64 y #s(literal -1 binary64)) #s(literal 1 binary64))
(*.f64 (fma.f64 y (*.f64 y y) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 y y y))))
(*.f64 (fma.f64 y (*.f64 y y) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y y (+.f64 #s(literal 1 binary64) y))))
(*.f64 (fma.f64 y (*.f64 y y) #s(literal -1 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 y y y))) #s(literal 1 binary64)))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) y)))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) y)) #s(literal 1 binary64)))
(*.f64 (fma.f64 y (*.f64 y (neg.f64 y)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y (-.f64 #s(literal -1 binary64) y) #s(literal -1 binary64))))
(*.f64 (+.f64 #s(literal -1 binary64) (*.f64 y y)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y)))
(*.f64 (fma.f64 y y #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))))

simplify395.0ms (3.9%)

Memory
-1.4MiB live, 676.7MiB allocated
Algorithm
egg-herbie
Rules
15 680×accelerator-lowering-fma.f32
15 680×accelerator-lowering-fma.f64
3 608×*-lowering-*.f32
3 608×*-lowering-*.f64
2 890×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01451186
14541140
21544954
36436954
08359901
Stop Event
iter limit
node limit
Counts
156 → 156
Calls
Call 1
Inputs
x
(+ x (* y (- 1 x)))
(+ x (* y (- (+ 1 (* -1 (* y (- 1 x)))) x)))
(+ x (* y (- (+ 1 (* y (+ (* -1 (- 1 x)) (* y (- 1 x))))) x)))
(* (pow y 3) (- 1 x))
(* (pow y 3) (- (+ 1 (* -1 (/ (- 1 x) y))) x))
(* (pow y 3) (- (+ 1 (+ (* -1 (/ (- 1 x) y)) (/ 1 (pow y 2)))) (+ x (/ x (pow y 2)))))
(* (pow y 3) (- (+ 1 (+ (* -1 (/ (- 1 x) y)) (+ (/ 1 (pow y 2)) (/ x (pow y 3))))) (+ x (/ x (pow y 2)))))
(* (pow y 3) (- 1 x))
(* -1 (* (pow y 3) (- (+ (* -1 (- 1 x)) (/ 1 y)) (/ x y))))
(* -1 (* (pow y 3) (+ (* -1 (- 1 x)) (* -1 (/ (- (+ (* -1 (- 1 x)) (/ 1 y)) (/ x y)) y)))))
(* -1 (* (pow y 3) (+ (* -1 (- 1 x)) (* -1 (/ (+ (* -1 (- 1 x)) (* -1 (/ (+ (* -1 (- 1 x)) (* -1 (/ x y))) y))) y)))))
(* y (+ 1 (* y (- y 1))))
(+ (* x (+ 1 (* -1 (* y (+ 1 (* y (- y 1))))))) (* y (+ 1 (* y (- y 1)))))
(+ (* x (+ 1 (* -1 (* y (+ 1 (* y (- y 1))))))) (* y (+ 1 (* y (- y 1)))))
(+ (* x (+ 1 (* -1 (* y (+ 1 (* y (- y 1))))))) (* y (+ 1 (* y (- y 1)))))
(* x (+ 1 (* -1 (* y (+ 1 (* y (- y 1)))))))
(* x (+ 1 (+ (* -1 (* y (+ 1 (* y (- y 1))))) (/ (* y (+ 1 (* y (- y 1)))) x))))
(* x (+ 1 (+ (* -1 (* y (+ 1 (* y (- y 1))))) (/ (* y (+ 1 (* y (- y 1)))) x))))
(* x (+ 1 (+ (* -1 (* y (+ 1 (* y (- y 1))))) (/ (* y (+ 1 (* y (- y 1)))) x))))
(* -1 (* x (- (* y (+ 1 (* y (- y 1)))) 1)))
(* -1 (* x (- (+ (* -1 (/ (* y (+ 1 (* y (- y 1)))) x)) (* y (+ 1 (* y (- y 1))))) 1)))
(* -1 (* x (- (+ (* -1 (/ (* y (+ 1 (* y (- y 1)))) x)) (* y (+ 1 (* y (- y 1))))) 1)))
(* -1 (* x (- (+ (* -1 (/ (* y (+ 1 (* y (- y 1)))) x)) (* y (+ 1 (* y (- y 1))))) 1)))
(+ 1 (* y (- y 1)))
(+ 1 (+ (* -1 (* x (+ 1 (* y (- y 1))))) (* y (- y 1))))
(+ 1 (+ (* -1 (* x (+ 1 (* y (- y 1))))) (* y (- y 1))))
(+ 1 (+ (* -1 (* x (+ 1 (* y (- y 1))))) (* y (- y 1))))
(* -1 (* x (+ 1 (* y (- y 1)))))
(* x (+ (* -1 (+ 1 (* y (- y 1)))) (+ (/ 1 x) (/ (* y (- y 1)) x))))
(* x (+ (* -1 (+ 1 (* y (- y 1)))) (+ (/ 1 x) (/ (* y (- y 1)) x))))
(* x (+ (* -1 (+ 1 (* y (- y 1)))) (+ (/ 1 x) (/ (* y (- y 1)) x))))
(* -1 (* x (+ 1 (* y (- y 1)))))
(* -1 (* x (+ 1 (+ (* -1 (/ (+ 1 (* y (- y 1))) x)) (* y (- y 1))))))
(* -1 (* x (+ 1 (+ (* -1 (/ (+ 1 (* y (- y 1))) x)) (* y (- y 1))))))
(* -1 (* x (+ 1 (+ (* -1 (/ (+ 1 (* y (- y 1))) x)) (* y (- y 1))))))
(- 1 x)
(- (+ 1 (* -1 (* y (- 1 x)))) x)
(- (+ 1 (* y (+ (* -1 (- 1 x)) (* y (- 1 x))))) x)
(- (+ 1 (* y (+ (* -1 (- 1 x)) (* y (- 1 x))))) x)
(* (pow y 2) (- 1 x))
(* (pow y 2) (- (+ 1 (* -1 (/ (- 1 x) y))) x))
(* (pow y 2) (- (+ 1 (+ (* -1 (/ (- 1 x) y)) (/ 1 (pow y 2)))) (+ x (/ x (pow y 2)))))
(* (pow y 2) (- (+ 1 (+ (* -1 (/ (- 1 x) y)) (/ 1 (pow y 2)))) (+ x (/ x (pow y 2)))))
(* (pow y 2) (- 1 x))
(* (pow y 2) (- (+ 1 (* -1 (/ (- 1 x) y))) x))
(* (pow y 2) (- (+ 1 (* -1 (/ (- (+ 1 (* -1 (/ (- 1 x) y))) x) y))) x))
(* (pow y 2) (- (+ 1 (* -1 (/ (- (+ 1 (* -1 (/ (- 1 x) y))) x) y))) x))
1
(+ 1 (* -1 x))
(+ 1 (* -1 x))
(+ 1 (* -1 x))
(* -1 x)
(* x (- (/ 1 x) 1))
(* x (- (/ 1 x) 1))
(* x (- (/ 1 x) 1))
(* -1 x)
(* -1 (* x (- 1 (/ 1 x))))
(* -1 (* x (- 1 (/ 1 x))))
(* -1 (* x (- 1 (/ 1 x))))
1
(+ 1 (* -1 y))
(+ 1 (* y (- y 1)))
(+ 1 (* y (- y 1)))
(pow y 2)
(* (pow y 2) (- 1 (/ 1 y)))
(* (pow y 2) (- (+ 1 (/ 1 (pow y 2))) (/ 1 y)))
(* (pow y 2) (- (+ 1 (/ 1 (pow y 2))) (/ 1 y)))
(pow y 2)
(* (pow y 2) (- 1 (/ 1 y)))
(* (pow y 2) (+ 1 (* -1 (/ (- 1 (/ 1 y)) y))))
(* (pow y 2) (+ 1 (* -1 (/ (- 1 (/ 1 y)) y))))
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)))
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)))
y
(* y (+ 1 (* -1 y)))
(* y (+ 1 (* -1 y)))
(* y (+ 1 (* -1 y)))
(* -1 (pow y 2))
(* (pow y 2) (- (/ 1 y) 1))
(* (pow y 2) (- (/ 1 y) 1))
(* (pow y 2) (- (/ 1 y) 1))
(* -1 (pow y 2))
(* (pow y 2) (- (/ 1 y) 1))
(* (pow y 2) (- (/ 1 y) 1))
(* (pow y 2) (- (/ 1 y) 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)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
-1
(- y 1)
(- y 1)
(- y 1)
y
(* y (- 1 (/ 1 y)))
(* y (- 1 (/ 1 y)))
(* y (- 1 (/ 1 y)))
y
(* -1 (* y (- (/ 1 y) 1)))
(* -1 (* y (- (/ 1 y) 1)))
(* -1 (* y (- (/ 1 y) 1)))
Outputs
x
(+ x (* y (- 1 x)))
(fma.f64 y (-.f64 #s(literal 1 binary64) x) x)
(+ x (* y (- (+ 1 (* -1 (* y (- 1 x)))) x)))
(fma.f64 y (*.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) x)) x)
(+ x (* y (- (+ 1 (* y (+ (* -1 (- 1 x)) (* y (- 1 x))))) x)))
(fma.f64 y (-.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (*.f64 y y) y) #s(literal 1 binary64)) x) x)
(* (pow y 3) (- 1 x))
(*.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (*.f64 y y)))
(* (pow y 3) (- (+ 1 (* -1 (/ (- 1 x) y))) x))
(*.f64 (*.f64 y y) (fma.f64 y (-.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) y) x) y))
(* (pow y 3) (- (+ 1 (+ (* -1 (/ (- 1 x) y)) (/ 1 (pow y 2)))) (+ x (/ x (pow y 2)))))
(*.f64 (*.f64 y y) (fma.f64 y (-.f64 (/.f64 (-.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) y))) y) x) y))
(* (pow y 3) (- (+ 1 (+ (* -1 (/ (- 1 x) y)) (+ (/ 1 (pow y 2)) (/ x (pow y 3))))) (+ x (/ x (pow y 2)))))
(*.f64 (*.f64 y y) (fma.f64 y (-.f64 (/.f64 x (*.f64 y (*.f64 y y))) (+.f64 (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) y)) x) y) x)) y))
(* (pow y 3) (- 1 x))
(*.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (*.f64 y y)))
(* -1 (* (pow y 3) (- (+ (* -1 (- 1 x)) (/ 1 y)) (/ x y))))
(*.f64 (*.f64 y y) (fma.f64 y (-.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) y) x) y))
(* -1 (* (pow y 3) (+ (* -1 (- 1 x)) (* -1 (/ (- (+ (* -1 (- 1 x)) (/ 1 y)) (/ x y)) y)))))
(*.f64 (*.f64 y y) (fma.f64 y (-.f64 (/.f64 (-.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) y))) y) x) y))
(* -1 (* (pow y 3) (+ (* -1 (- 1 x)) (* -1 (/ (+ (* -1 (- 1 x)) (* -1 (/ (+ (* -1 (- 1 x)) (* -1 (/ x y))) y))) y)))))
(*.f64 (*.f64 y (*.f64 y y)) (+.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (+.f64 x (+.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (-.f64 x (/.f64 x y))) y))) y)))
(* y (+ 1 (* y (- y 1))))
(fma.f64 y (-.f64 (*.f64 y y) y) y)
(+ (* x (+ 1 (* -1 (* y (+ 1 (* y (- y 1))))))) (* y (+ 1 (* y (- y 1)))))
(fma.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 y (-.f64 (*.f64 y y) y) y) x)
(+ (* x (+ 1 (* -1 (* y (+ 1 (* y (- y 1))))))) (* y (+ 1 (* y (- y 1)))))
(fma.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 y (-.f64 (*.f64 y y) y) y) x)
(+ (* x (+ 1 (* -1 (* y (+ 1 (* y (- y 1))))))) (* y (+ 1 (* y (- y 1)))))
(fma.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 y (-.f64 (*.f64 y y) y) y) x)
(* x (+ 1 (* -1 (* y (+ 1 (* y (- y 1)))))))
(fma.f64 x (*.f64 y (fma.f64 y (-.f64 #s(literal 1 binary64) y) #s(literal -1 binary64))) x)
(* x (+ 1 (+ (* -1 (* y (+ 1 (* y (- y 1))))) (/ (* y (+ 1 (* y (- y 1)))) x))))
(fma.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 y (-.f64 (*.f64 y y) y) y) x)
(* x (+ 1 (+ (* -1 (* y (+ 1 (* y (- y 1))))) (/ (* y (+ 1 (* y (- y 1)))) x))))
(fma.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 y (-.f64 (*.f64 y y) y) y) x)
(* x (+ 1 (+ (* -1 (* y (+ 1 (* y (- y 1))))) (/ (* y (+ 1 (* y (- y 1)))) x))))
(fma.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 y (-.f64 (*.f64 y y) y) y) x)
(* -1 (* x (- (* y (+ 1 (* y (- y 1)))) 1)))
(fma.f64 x (*.f64 y (fma.f64 y (-.f64 #s(literal 1 binary64) y) #s(literal -1 binary64))) x)
(* -1 (* x (- (+ (* -1 (/ (* y (+ 1 (* y (- y 1)))) x)) (* y (+ 1 (* y (- y 1))))) 1)))
(fma.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 y (-.f64 (*.f64 y y) y) y) x)
(* -1 (* x (- (+ (* -1 (/ (* y (+ 1 (* y (- y 1)))) x)) (* y (+ 1 (* y (- y 1))))) 1)))
(fma.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 y (-.f64 (*.f64 y y) y) y) x)
(* -1 (* x (- (+ (* -1 (/ (* y (+ 1 (* y (- y 1)))) x)) (* y (+ 1 (* y (- y 1))))) 1)))
(fma.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 y (-.f64 (*.f64 y y) y) y) x)
(+ 1 (* y (- y 1)))
(fma.f64 y (+.f64 y #s(literal -1 binary64)) #s(literal 1 binary64))
(+ 1 (+ (* -1 (* x (+ 1 (* y (- y 1))))) (* y (- y 1))))
(*.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 y (+.f64 y #s(literal -1 binary64)) #s(literal 1 binary64)))
(+ 1 (+ (* -1 (* x (+ 1 (* y (- y 1))))) (* y (- y 1))))
(*.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 y (+.f64 y #s(literal -1 binary64)) #s(literal 1 binary64)))
(+ 1 (+ (* -1 (* x (+ 1 (* y (- y 1))))) (* y (- y 1))))
(*.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 y (+.f64 y #s(literal -1 binary64)) #s(literal 1 binary64)))
(* -1 (* x (+ 1 (* y (- y 1)))))
(*.f64 x (fma.f64 y (-.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)))
(* x (+ (* -1 (+ 1 (* y (- y 1)))) (+ (/ 1 x) (/ (* y (- y 1)) x))))
(*.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 y (+.f64 y #s(literal -1 binary64)) #s(literal 1 binary64)))
(* x (+ (* -1 (+ 1 (* y (- y 1)))) (+ (/ 1 x) (/ (* y (- y 1)) x))))
(*.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 y (+.f64 y #s(literal -1 binary64)) #s(literal 1 binary64)))
(* x (+ (* -1 (+ 1 (* y (- y 1)))) (+ (/ 1 x) (/ (* y (- y 1)) x))))
(*.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 y (+.f64 y #s(literal -1 binary64)) #s(literal 1 binary64)))
(* -1 (* x (+ 1 (* y (- y 1)))))
(*.f64 x (fma.f64 y (-.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)))
(* -1 (* x (+ 1 (+ (* -1 (/ (+ 1 (* y (- y 1))) x)) (* y (- y 1))))))
(*.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 y (+.f64 y #s(literal -1 binary64)) #s(literal 1 binary64)))
(* -1 (* x (+ 1 (+ (* -1 (/ (+ 1 (* y (- y 1))) x)) (* y (- y 1))))))
(*.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 y (+.f64 y #s(literal -1 binary64)) #s(literal 1 binary64)))
(* -1 (* x (+ 1 (+ (* -1 (/ (+ 1 (* y (- y 1))) x)) (* y (- y 1))))))
(*.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 y (+.f64 y #s(literal -1 binary64)) #s(literal 1 binary64)))
(- 1 x)
(-.f64 #s(literal 1 binary64) x)
(- (+ 1 (* -1 (* y (- 1 x)))) x)
(*.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) x))
(- (+ 1 (* y (+ (* -1 (- 1 x)) (* y (- 1 x))))) x)
(-.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (*.f64 y y) y) #s(literal 1 binary64)) x)
(- (+ 1 (* y (+ (* -1 (- 1 x)) (* y (- 1 x))))) x)
(-.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (*.f64 y y) y) #s(literal 1 binary64)) x)
(* (pow y 2) (- 1 x))
(*.f64 y (-.f64 y (*.f64 x y)))
(* (pow y 2) (- (+ 1 (* -1 (/ (- 1 x) y))) x))
(*.f64 y (fma.f64 y (-.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) y) x) y))
(* (pow y 2) (- (+ 1 (+ (* -1 (/ (- 1 x) y)) (/ 1 (pow y 2)))) (+ x (/ x (pow y 2)))))
(*.f64 y (fma.f64 y (-.f64 (/.f64 (-.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) y))) y) x) y))
(* (pow y 2) (- (+ 1 (+ (* -1 (/ (- 1 x) y)) (/ 1 (pow y 2)))) (+ x (/ x (pow y 2)))))
(*.f64 y (fma.f64 y (-.f64 (/.f64 (-.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) y))) y) x) y))
(* (pow y 2) (- 1 x))
(*.f64 y (-.f64 y (*.f64 x y)))
(* (pow y 2) (- (+ 1 (* -1 (/ (- 1 x) y))) x))
(*.f64 y (fma.f64 y (-.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) y) x) y))
(* (pow y 2) (- (+ 1 (* -1 (/ (- (+ 1 (* -1 (/ (- 1 x) y))) x) y))) x))
(*.f64 y (fma.f64 y (-.f64 (/.f64 (-.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) y))) y) x) y))
(* (pow y 2) (- (+ 1 (* -1 (/ (- (+ 1 (* -1 (/ (- 1 x) y))) x) y))) x))
(*.f64 y (fma.f64 y (-.f64 (/.f64 (-.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) y))) y) x) y))
1
#s(literal 1 binary64)
(+ 1 (* -1 x))
(-.f64 #s(literal 1 binary64) x)
(+ 1 (* -1 x))
(-.f64 #s(literal 1 binary64) x)
(+ 1 (* -1 x))
(-.f64 #s(literal 1 binary64) x)
(* -1 x)
(neg.f64 x)
(* x (- (/ 1 x) 1))
(-.f64 #s(literal 1 binary64) x)
(* x (- (/ 1 x) 1))
(-.f64 #s(literal 1 binary64) x)
(* x (- (/ 1 x) 1))
(-.f64 #s(literal 1 binary64) x)
(* -1 x)
(neg.f64 x)
(* -1 (* x (- 1 (/ 1 x))))
(-.f64 #s(literal 1 binary64) x)
(* -1 (* x (- 1 (/ 1 x))))
(-.f64 #s(literal 1 binary64) x)
(* -1 (* x (- 1 (/ 1 x))))
(-.f64 #s(literal 1 binary64) x)
1
#s(literal 1 binary64)
(+ 1 (* -1 y))
(-.f64 #s(literal 1 binary64) y)
(+ 1 (* y (- y 1)))
(fma.f64 y (+.f64 y #s(literal -1 binary64)) #s(literal 1 binary64))
(+ 1 (* y (- y 1)))
(fma.f64 y (+.f64 y #s(literal -1 binary64)) #s(literal 1 binary64))
(pow y 2)
(*.f64 y y)
(* (pow y 2) (- 1 (/ 1 y)))
(-.f64 (*.f64 y y) y)
(* (pow y 2) (- (+ 1 (/ 1 (pow y 2))) (/ 1 y)))
(fma.f64 y (+.f64 y #s(literal -1 binary64)) #s(literal 1 binary64))
(* (pow y 2) (- (+ 1 (/ 1 (pow y 2))) (/ 1 y)))
(fma.f64 y (+.f64 y #s(literal -1 binary64)) #s(literal 1 binary64))
(pow y 2)
(*.f64 y y)
(* (pow y 2) (- 1 (/ 1 y)))
(-.f64 (*.f64 y y) y)
(* (pow y 2) (+ 1 (* -1 (/ (- 1 (/ 1 y)) y))))
(fma.f64 y (+.f64 y #s(literal -1 binary64)) #s(literal 1 binary64))
(* (pow y 2) (+ 1 (* -1 (/ (- 1 (/ 1 y)) y))))
(fma.f64 y (+.f64 y #s(literal -1 binary64)) #s(literal 1 binary64))
x
(+ x y)
(+.f64 x y)
(+ x y)
(+.f64 x y)
(+ x y)
(+.f64 x y)
y
(* y (+ 1 (/ x y)))
(+.f64 x y)
(* y (+ 1 (/ x y)))
(+.f64 x y)
(* y (+ 1 (/ x y)))
(+.f64 x y)
y
(* -1 (* y (- (* -1 (/ x y)) 1)))
(+.f64 x y)
(* -1 (* y (- (* -1 (/ x y)) 1)))
(+.f64 x y)
(* -1 (* y (- (* -1 (/ x y)) 1)))
(+.f64 x y)
y
(+ x y)
(+.f64 x y)
(+ x y)
(+.f64 x y)
(+ x y)
(+.f64 x y)
x
(* x (+ 1 (/ y x)))
(+.f64 x y)
(* x (+ 1 (/ y x)))
(+.f64 x y)
(* x (+ 1 (/ y x)))
(+.f64 x y)
x
(* -1 (* x (- (* -1 (/ y x)) 1)))
(+.f64 x y)
(* -1 (* x (- (* -1 (/ y x)) 1)))
(+.f64 x y)
(* -1 (* x (- (* -1 (/ y x)) 1)))
(+.f64 x y)
y
(* y (+ 1 (* -1 y)))
(-.f64 y (*.f64 y y))
(* y (+ 1 (* -1 y)))
(-.f64 y (*.f64 y y))
(* y (+ 1 (* -1 y)))
(-.f64 y (*.f64 y y))
(* -1 (pow y 2))
(*.f64 y (neg.f64 y))
(* (pow y 2) (- (/ 1 y) 1))
(-.f64 y (*.f64 y y))
(* (pow y 2) (- (/ 1 y) 1))
(-.f64 y (*.f64 y y))
(* (pow y 2) (- (/ 1 y) 1))
(-.f64 y (*.f64 y y))
(* -1 (pow y 2))
(*.f64 y (neg.f64 y))
(* (pow y 2) (- (/ 1 y) 1))
(-.f64 y (*.f64 y y))
(* (pow y 2) (- (/ 1 y) 1))
(-.f64 y (*.f64 y y))
(* (pow y 2) (- (/ 1 y) 1))
(-.f64 y (*.f64 y y))
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
-1
#s(literal -1 binary64)
(- y 1)
(+.f64 y #s(literal -1 binary64))
(- y 1)
(+.f64 y #s(literal -1 binary64))
(- y 1)
(+.f64 y #s(literal -1 binary64))
y
(* y (- 1 (/ 1 y)))
(+.f64 y #s(literal -1 binary64))
(* y (- 1 (/ 1 y)))
(+.f64 y #s(literal -1 binary64))
(* y (- 1 (/ 1 y)))
(+.f64 y #s(literal -1 binary64))
y
(* -1 (* y (- (/ 1 y) 1)))
(+.f64 y #s(literal -1 binary64))
(* -1 (* y (- (/ 1 y) 1)))
(+.f64 y #s(literal -1 binary64))
(* -1 (* y (- (/ 1 y) 1)))
(+.f64 y #s(literal -1 binary64))

eval250.0ms (2.5%)

Memory
20.3MiB live, 207.9MiB allocated
Compiler

Compiled 21 210 to 2 176 computations (89.7% saved)

prune236.0ms (2.3%)

Memory
-31.4MiB live, 222.1MiB allocated
Pruning

15 alts after pruning (3 fresh and 12 done)

PrunedKeptTotal
New8651866
Fresh022
Picked055
Done077
Total86515880
Accuracy
100.0%
Counts
880 → 15
Alt Table
Click to see full alt table
StatusAccuracyProgram
54.1%
(fma.f64 y (-.f64 #s(literal 1 binary64) x) x)
54.5%
(fma.f64 y (*.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 y (+.f64 #s(literal -1 binary64) y) #s(literal 1 binary64))) x)
39.3%
(fma.f64 y (neg.f64 x) x)
28.7%
(/.f64 (-.f64 (*.f64 y y) y) (fma.f64 y y #s(literal -1 binary64)))
100.0%
(/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64)))
49.2%
(/.f64 y (+.f64 y #s(literal 1 binary64)))
52.2%
(/.f64 x (+.f64 y #s(literal 1 binary64)))
15.5%
(/.f64 x y)
17.6%
(-.f64 y (*.f64 y y))
54.3%
(+.f64 y x)
47.2%
(+.f64 #s(literal 1 binary64) (/.f64 x y))
2.8%
(*.f64 y (neg.f64 y))
17.9%
y
39.6%
x
34.0%
#s(literal 1 binary64)
Compiler

Compiled 233 to 108 computations (53.6% saved)

regimes32.0ms (0.3%)

Memory
1.6MiB live, 41.2MiB allocated
Counts
21 → 1
Calls
Call 1
Inputs
#s(literal 1 binary64)
x
y
(+.f64 y x)
(fma.f64 y #s(literal 1 binary64) x)
(*.f64 y (neg.f64 y))
(-.f64 y (*.f64 y y))
(fma.f64 y (neg.f64 x) x)
(fma.f64 y (-.f64 #s(literal 1 binary64) x) x)
(/.f64 x y)
(+.f64 #s(literal 1 binary64) (/.f64 x y))
(/.f64 x (+.f64 y #s(literal 1 binary64)))
(/.f64 y (+.f64 y #s(literal 1 binary64)))
(/.f64 (+.f64 x y) y)
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) y))
(/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64)))
(fma.f64 (-.f64 (*.f64 y x) y) (+.f64 y #s(literal -1 binary64)) x)
(fma.f64 y (*.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 y (+.f64 #s(literal -1 binary64) y) #s(literal 1 binary64))) x)
(/.f64 (-.f64 (*.f64 y y) y) (fma.f64 y y #s(literal -1 binary64)))
(fma.f64 y (fma.f64 (-.f64 y (*.f64 y x)) (+.f64 y #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) x)) x)
(/.f64 (*.f64 (+.f64 x y) (+.f64 y #s(literal -1 binary64))) (fma.f64 y y #s(literal -1 binary64)))
Outputs
(/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64)))
Calls

3 calls:

17.0ms
x
7.0ms
y
7.0ms
(/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64)))
Results
AccuracySegmentsBranch
100.0%1x
100.0%1y
100.0%1(/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64)))
Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes16.0ms (0.2%)

Memory
19.6MiB live, 19.6MiB allocated
Counts
15 → 3
Calls
Call 1
Inputs
#s(literal 1 binary64)
x
y
(+.f64 y x)
(fma.f64 y #s(literal 1 binary64) x)
(*.f64 y (neg.f64 y))
(-.f64 y (*.f64 y y))
(fma.f64 y (neg.f64 x) x)
(fma.f64 y (-.f64 #s(literal 1 binary64) x) x)
(/.f64 x y)
(+.f64 #s(literal 1 binary64) (/.f64 x y))
(/.f64 x (+.f64 y #s(literal 1 binary64)))
(/.f64 y (+.f64 y #s(literal 1 binary64)))
(/.f64 (+.f64 x y) y)
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) y))
Outputs
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) y))
(fma.f64 y (-.f64 #s(literal 1 binary64) x) x)
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) y))
Calls

3 calls:

5.0ms
x
5.0ms
y
5.0ms
(/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64)))
Results
AccuracySegmentsBranch
77.4%3x
98.5%3y
98.5%4(/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64)))
Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes6.0ms (0.1%)

Memory
7.2MiB live, 7.1MiB allocated
Counts
14 → 3
Calls
Call 1
Inputs
#s(literal 1 binary64)
x
y
(+.f64 y x)
(fma.f64 y #s(literal 1 binary64) x)
(*.f64 y (neg.f64 y))
(-.f64 y (*.f64 y y))
(fma.f64 y (neg.f64 x) x)
(fma.f64 y (-.f64 #s(literal 1 binary64) x) x)
(/.f64 x y)
(+.f64 #s(literal 1 binary64) (/.f64 x y))
(/.f64 x (+.f64 y #s(literal 1 binary64)))
(/.f64 y (+.f64 y #s(literal 1 binary64)))
(/.f64 (+.f64 x y) y)
Outputs
(+.f64 #s(literal 1 binary64) (/.f64 x y))
(fma.f64 y (-.f64 #s(literal 1 binary64) x) x)
(+.f64 #s(literal 1 binary64) (/.f64 x y))
Calls

1 calls:

5.0ms
y
Results
AccuracySegmentsBranch
98.4%3y
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes88.0ms (0.9%)

Memory
-28.4MiB live, 11.3MiB allocated
Counts
10 → 4
Calls
Call 1
Inputs
#s(literal 1 binary64)
x
y
(+.f64 y x)
(fma.f64 y #s(literal 1 binary64) x)
(*.f64 y (neg.f64 y))
(-.f64 y (*.f64 y y))
(fma.f64 y (neg.f64 x) x)
(fma.f64 y (-.f64 #s(literal 1 binary64) x) x)
(/.f64 x y)
Outputs
#s(literal 1 binary64)
(fma.f64 y (-.f64 #s(literal 1 binary64) x) x)
(/.f64 x y)
#s(literal 1 binary64)
Calls

2 calls:

84.0ms
y
4.0ms
(/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64)))
Results
AccuracySegmentsBranch
84.9%3(/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64)))
87.5%4y
Compiler

Compiled 12 to 8 computations (33.3% saved)

regimes4.0ms (0%)

Memory
4.7MiB live, 4.7MiB allocated
Counts
9 → 3
Calls
Call 1
Inputs
#s(literal 1 binary64)
x
y
(+.f64 y x)
(fma.f64 y #s(literal 1 binary64) x)
(*.f64 y (neg.f64 y))
(-.f64 y (*.f64 y y))
(fma.f64 y (neg.f64 x) x)
(fma.f64 y (-.f64 #s(literal 1 binary64) x) x)
Outputs
#s(literal 1 binary64)
(fma.f64 y (-.f64 #s(literal 1 binary64) x) x)
#s(literal 1 binary64)
Calls

1 calls:

3.0ms
y
Results
AccuracySegmentsBranch
85.0%3y
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes7.0ms (0.1%)

Memory
7.8MiB live, 7.8MiB allocated
Counts
8 → 3
Calls
Call 1
Inputs
#s(literal 1 binary64)
x
y
(+.f64 y x)
(fma.f64 y #s(literal 1 binary64) x)
(*.f64 y (neg.f64 y))
(-.f64 y (*.f64 y y))
(fma.f64 y (neg.f64 x) x)
Outputs
(+.f64 y x)
#s(literal 1 binary64)
(fma.f64 y (neg.f64 x) x)
Calls

2 calls:

3.0ms
y
3.0ms
(/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64)))
Results
AccuracySegmentsBranch
84.9%3(/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64)))
84.7%3y
Compiler

Compiled 12 to 8 computations (33.3% saved)

regimes3.0ms (0%)

Memory
4.0MiB live, 3.9MiB allocated
Counts
7 → 3
Calls
Call 1
Inputs
#s(literal 1 binary64)
x
y
(+.f64 y x)
(fma.f64 y #s(literal 1 binary64) x)
(*.f64 y (neg.f64 y))
(-.f64 y (*.f64 y y))
Outputs
(+.f64 y x)
#s(literal 1 binary64)
x
Calls

1 calls:

3.0ms
(/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64)))
Results
AccuracySegmentsBranch
84.8%3(/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64)))
Compiler

Compiled 9 to 6 computations (33.3% saved)

regimes6.0ms (0.1%)

Memory
8.1MiB live, 8.1MiB allocated
Counts
3 → 4
Calls
Call 1
Inputs
#s(literal 1 binary64)
x
y
Outputs
x
y
#s(literal 1 binary64)
x
Calls

3 calls:

2.0ms
(/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64)))
2.0ms
x
2.0ms
y
Results
AccuracySegmentsBranch
52.2%4x
69.8%3y
74.9%4(/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64)))
Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes2.0ms (0%)

Memory
2.6MiB live, 2.6MiB allocated
Counts
2 → 3
Calls
Call 1
Inputs
#s(literal 1 binary64)
x
Outputs
x
#s(literal 1 binary64)
x
Calls

1 calls:

1.0ms
(/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64)))
Results
AccuracySegmentsBranch
69.9%3(/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64)))
Compiler

Compiled 9 to 6 computations (33.3% saved)

regimes19.0ms (0.2%)

Memory
-32.5MiB live, 6.9MiB allocated
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

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

3 calls:

16.0ms
x
1.0ms
y
1.0ms
(/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64)))
Results
AccuracySegmentsBranch
34.0%1x
34.0%1y
34.0%1(/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64)))
Compiler

Compiled 15 to 10 computations (33.3% saved)

bsearch23.0ms (0.2%)

Memory
28.7MiB live, 28.7MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
10.0ms
0.0009086168247937108
57773.08457199782
10.0ms
-17.593150727327018
-3.5257222450954167e-5
Samples
11.0ms288×0valid
Compiler

Compiled 354 to 263 computations (25.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 5.0ms
ival-add: 3.0ms (56.5% of total)
ival-div: 2.0ms (37.7% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch38.0ms (0.4%)

Memory
-5.6MiB live, 32.5MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
10.0ms
0.0009086168247937108
57773.08457199782
26.0ms
-17.593150727327018
-3.5257222450954167e-5
Samples
11.0ms288×0valid
Compiler

Compiled 318 to 227 computations (28.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 5.0ms
ival-add: 3.0ms (56.3% of total)
ival-div: 2.0ms (37.6% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch65.0ms (0.6%)

Memory
-18.4MiB live, 21.1MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
narrow-enough
Steps
TimeLeftRight
1.0ms
2.0277219092657462e+62
2.2389787041575335e+62
51.0ms
0.0009086168247937108
57773.08457199782
10.0ms
-17.593150727327018
-3.5257222450954167e-5
Samples
53.0ms304×0valid
Compiler

Compiled 274 to 199 computations (27.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 5.0ms
ival-add: 3.0ms (54.8% of total)
ival-div: 2.0ms (36.5% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch23.0ms (0.2%)

Memory
14.6MiB live, 14.6MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
10.0ms
0.0009086168247937108
57773.08457199782
10.0ms
-17.593150727327018
-3.5257222450954167e-5
Samples
11.0ms288×0valid
Compiler

Compiled 246 to 191 computations (22.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 5.0ms
ival-add: 3.0ms (56.2% of total)
ival-div: 2.0ms (37.5% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
123585051.59763211
149233096.25295207
0.0ms
0.0009077919897184395
0.9999096192210353
Compiler

Compiled 12 to 11 computations (8.3% saved)

bsearch0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
123585051.59763211
149233096.25295207
0.0ms
0.0009077919897184395
0.9999096192210353
Compiler

Compiled 12 to 11 computations (8.3% saved)

bsearch0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
123585051.59763211
149233096.25295207
0.0ms
0.0009077919897184395
0.9999096192210353
0.0ms
-4.179751836592303e-6
-1.2975526485847318e-7
Compiler

Compiled 12 to 11 computations (8.3% saved)

bsearch0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
123585051.59763211
149233096.25295207
0.0ms
2.0090707976860803e-7
0.0009077919897184395
Compiler

Compiled 12 to 11 computations (8.3% saved)

simplify10.0ms (0.1%)

Memory
12.5MiB live, 12.5MiB allocated
Algorithm
egg-herbie
Rules
14×+-commutative_binary64
if-if-or-not_binary32
sub-neg_binary64
*-commutative_binary64
1-exp_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
049200
170200
273200
374200
Stop Event
saturated
Calls
Call 1
Inputs
(/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64)))
(if (<=.f64 y #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) y)) (if (<=.f64 y #s(literal 1 binary64)) (fma.f64 y (-.f64 #s(literal 1 binary64) x) x) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) y))))
(if (<=.f64 y #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 x y)) (if (<=.f64 y #s(literal 3602879701896397/4503599627370496 binary64)) (fma.f64 y (-.f64 #s(literal 1 binary64) x) x) (+.f64 #s(literal 1 binary64) (/.f64 x y))))
(if (<=.f64 y #s(literal -1 binary64)) #s(literal 1 binary64) (if (<=.f64 y #s(literal 2476979795053773/2251799813685248 binary64)) (fma.f64 y (-.f64 #s(literal 1 binary64) x) x) (if (<=.f64 y #s(literal 209999999999999999362032261327263129470367238459282070026846208 binary64)) (/.f64 x y) #s(literal 1 binary64))))
(if (<=.f64 y #s(literal -1 binary64)) #s(literal 1 binary64) (if (<=.f64 y #s(literal 1 binary64)) (fma.f64 y (-.f64 #s(literal 1 binary64) x) x) #s(literal 1 binary64)))
(if (<=.f64 (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) #s(literal 1152921504606847/1152921504606846976 binary64)) (+.f64 y x) (if (<=.f64 (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) #s(literal 140000000 binary64)) #s(literal 1 binary64) (fma.f64 y (neg.f64 x) x)))
(if (<=.f64 (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) #s(literal 1152921504606847/1152921504606846976 binary64)) (+.f64 y x) (if (<=.f64 (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) #s(literal 140000000 binary64)) #s(literal 1 binary64) x))
(if (<=.f64 (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) #s(literal -4722366482869645/1180591620717411303424 binary64)) x (if (<=.f64 (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) #s(literal 1152921504606847/1152921504606846976 binary64)) y (if (<=.f64 (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) #s(literal 140000000 binary64)) #s(literal 1 binary64) x)))
(if (<=.f64 (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) #s(literal 944473296573929/2361183241434822606848 binary64)) x (if (<=.f64 (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) #s(literal 140000000 binary64)) #s(literal 1 binary64) x))
#s(literal 1 binary64)
Outputs
(/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64)))
(if (<=.f64 y #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) y)) (if (<=.f64 y #s(literal 1 binary64)) (fma.f64 y (-.f64 #s(literal 1 binary64) x) x) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) y))))
(if (<=.f64 y #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 x y)) (if (<=.f64 y #s(literal 3602879701896397/4503599627370496 binary64)) (fma.f64 y (-.f64 #s(literal 1 binary64) x) x) (+.f64 #s(literal 1 binary64) (/.f64 x y))))
(if (<=.f64 y #s(literal -1 binary64)) #s(literal 1 binary64) (if (<=.f64 y #s(literal 2476979795053773/2251799813685248 binary64)) (fma.f64 y (-.f64 #s(literal 1 binary64) x) x) (if (<=.f64 y #s(literal 209999999999999999362032261327263129470367238459282070026846208 binary64)) (/.f64 x y) #s(literal 1 binary64))))
(if (<=.f64 y #s(literal -1 binary64)) #s(literal 1 binary64) (if (<=.f64 y #s(literal 1 binary64)) (fma.f64 y (-.f64 #s(literal 1 binary64) x) x) #s(literal 1 binary64)))
(if (<=.f64 (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) #s(literal 1152921504606847/1152921504606846976 binary64)) (+.f64 y x) (if (<=.f64 (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) #s(literal 140000000 binary64)) #s(literal 1 binary64) (fma.f64 y (neg.f64 x) x)))
(if (<=.f64 (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) #s(literal 1152921504606847/1152921504606846976 binary64)) (+.f64 x y) (if (<=.f64 (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) #s(literal 140000000 binary64)) #s(literal 1 binary64) (fma.f64 y (neg.f64 x) x)))
(if (<=.f64 (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) #s(literal 1152921504606847/1152921504606846976 binary64)) (+.f64 y x) (if (<=.f64 (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) #s(literal 140000000 binary64)) #s(literal 1 binary64) x))
(if (<=.f64 (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) #s(literal 1152921504606847/1152921504606846976 binary64)) (+.f64 x y) (if (<=.f64 (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) #s(literal 140000000 binary64)) #s(literal 1 binary64) x))
(if (<=.f64 (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) #s(literal -4722366482869645/1180591620717411303424 binary64)) x (if (<=.f64 (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) #s(literal 1152921504606847/1152921504606846976 binary64)) y (if (<=.f64 (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) #s(literal 140000000 binary64)) #s(literal 1 binary64) x)))
(if (<=.f64 (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) #s(literal 944473296573929/2361183241434822606848 binary64)) x (if (<=.f64 (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) #s(literal 140000000 binary64)) #s(literal 1 binary64) x))
#s(literal 1 binary64)

soundness1.0s (9.8%)

Memory
-22.1MiB live, 609.4MiB allocated
Rules
13 644×accelerator-lowering-fma.f32
13 644×accelerator-lowering-fma.f64
12 130×accelerator-lowering-fma.f32
12 130×accelerator-lowering-fma.f64
5 212×accelerator-lowering-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01957
115156
2143456
0893953
01821315
15501173
216091125
359331102
081991077
088362
1263358
2670338
32440308
08253300
Stop Event
fuel
iter limit
node limit
iter limit
node limit
iter limit
node limit
Compiler

Compiled 377 to 164 computations (56.5% saved)

preprocess53.0ms (0.5%)

Memory
15.9MiB live, 173.5MiB allocated
Compiler

Compiled 442 to 108 computations (75.6% saved)

end0.0ms (0%)

Memory
0.1MiB live, 0.0MiB allocated

Profiling

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