Data.Colour.RGB:hslsv from colour-2.3.3, C

Time bar (total: 8.9s)

analyze54.0ms (0.6%)

Memory
-3.6MiB live, 35.1MiB allocated
Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
0%0%99.9%0.1%0%0%0%1
0%0%99.9%0.1%0%0%0%2
25%25%74.9%0.1%0%0%0%3
37.5%37.5%62.4%0.1%0%0%0%4
56.3%56.2%43.7%0.1%0%0%0%5
65.6%65.6%34.3%0.1%0%0%0%6
79.7%79.6%20.3%0.1%0%0%0%7
83.6%83.5%16.4%0.1%0%0%0%8
90.2%90.1%9.8%0.1%0%0%0%9
92%91.9%8%0.1%0%0%0%10
95.2%95.1%4.8%0.1%0%0%0%11
96%96%4%0.1%0%0%0%12
Compiler

Compiled 11 to 9 computations (18.2% saved)

sample1.4s (15.3%)

Memory
14.5MiB live, 724.3MiB allocated
Samples
779.0ms8 255×0valid
0.0ms1×2valid
Precisions
Click to see histograms. Total time spent on operations: 476.0ms
ival-sub: 310.0ms (65.2% of total)
ival-div: 78.0ms (16.4% of total)
ival-add: 74.0ms (15.6% 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

preprocess97.0ms (1.1%)

Memory
-10.1MiB live, 109.0MiB allocated
Algorithm
2×egg-herbie
Rules
464×accelerator-lowering-fma.f32
464×accelerator-lowering-fma.f64
314×unsub-neg
272×div-sub
270×associate-*l*
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02360
17856
218355
351754
4114354
5170654
6197854
7208654
8214454
9215754
079
1179
2349
3759
41829
53429
66129
79009
89449
99609
109619
09619
Stop Event
1×iter limit
1×saturated
1×saturated
Calls
Call 1
Inputs
(/ (- x y) (- 2 (+ x y)))
Outputs
(/ (- x y) (- 2 (+ x y)))
(/.f64 (-.f64 x y) (-.f64 (-.f64 #s(literal 2 binary64) y) x))
Call 2
Inputs
(/ (- x y) (- 2 (+ x y)))
(/ (- (neg x) y) (- 2 (+ (neg x) y)))
(/ (- x (neg y)) (- 2 (+ x (neg y))))
(neg (/ (- (neg x) y) (- 2 (+ (neg x) y))))
(neg (/ (- x (neg y)) (- 2 (+ x (neg y)))))
(/ (- y x) (- 2 (+ y x)))
Outputs
(/ (- x y) (- 2 (+ x y)))
(/ (- x y) (- (- 2 x) y))
(/ (- (neg x) y) (- 2 (+ (neg x) y)))
(/ (+ x y) (+ y (- -2 x)))
(/ (- x (neg y)) (- 2 (+ x (neg y))))
(/ (+ x y) (+ y (- 2 x)))
(neg (/ (- (neg x) y) (- 2 (+ (neg x) y))))
(/ (+ x y) (+ x (- 2 y)))
(neg (/ (- x (neg y)) (- 2 (+ x (neg y)))))
(/ (+ x y) (+ x (- -2 y)))
(/ (- y x) (- 2 (+ y x)))
(/ (- x y) (+ y (+ x -2)))

explain80.0ms (0.9%)

Memory
-13.5MiB live, 180.9MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-#s(literal 2 binary64)
00-0-y
00-0-(-.f64 x y)
00-0-(+.f64 x y)
00-0-(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y)))
00-0-(-.f64 #s(literal 2 binary64) (+.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
29.0ms512×0valid
Compiler

Compiled 72 to 32 computations (55.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 14.0ms
ival-sub: 5.0ms (34.8% of total)
ival-add: 5.0ms (34.8% of total)
ival-div: 4.0ms (27.8% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

eval0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Compiler

Compiled 2 to 2 computations (0% saved)

prune1.0ms (0%)

Memory
1.9MiB live, 1.9MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶100.0%
(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y)))
Compiler

Compiled 11 to 7 computations (36.4% saved)

simplify34.0ms (0.4%)

Memory
21.7MiB live, 58.7MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(+.f64 x y)
✓cost-diff0
(-.f64 #s(literal 2 binary64) (+.f64 x y))
✓cost-diff0
(-.f64 x y)
✓cost-diff0
(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y)))
Rules
464×accelerator-lowering-fma.f32
464×accelerator-lowering-fma.f64
224×*-lowering-*.f32
224×*-lowering-*.f64
152×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0723
11723
23423
37523
418223
534223
661223
790023
894423
996023
1096123
096123
Stop Event
1×iter limit
1×saturated
Calls
Call 1
Inputs
(/ (- x y) (- 2 (+ x y)))
(- x y)
x
y
(- 2 (+ x y))
2
(+ x y)
Outputs
(/ (- x y) (- 2 (+ x y)))
(/.f64 (-.f64 x y) (-.f64 (-.f64 #s(literal 2 binary64) y) x))
(- x y)
(-.f64 x y)
x
y
(- 2 (+ x y))
(-.f64 (-.f64 #s(literal 2 binary64) y) x)
2
#s(literal 2 binary64)
(+ x y)
(+.f64 x y)

localize30.0ms (0.3%)

Memory
-32.8MiB live, 56.1MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(-.f64 x y)
✓accuracy100.0%
(-.f64 #s(literal 2 binary64) (+.f64 x y))
✓accuracy100.0%
(+.f64 x y)
✓accuracy100.0%
(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y)))
Samples
20.0ms256×0valid
Compiler

Compiled 25 to 9 computations (64% saved)

Precisions
Click to see histograms. Total time spent on operations: 12.0ms
ival-div: 8.0ms (64.5% of total)
ival-sub: 3.0ms (24.2% of total)
ival-add: 1.0ms (8.1% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series5.0ms (0.1%)

Memory
8.1MiB live, 8.1MiB allocated
Counts
4 → 96
Calls
Call 1
Inputs
#<alt (/ (- x y) (- 2 (+ x y)))>
#<alt (- x y)>
#<alt (- 2 (+ x y))>
#<alt (+ x y)>
Outputs
#<alt (* -1 (/ y (- 2 y)))>
#<alt (+ (* -1 (/ y (- 2 y))) (* x (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2)))))>
#<alt (+ (* -1 (/ y (- 2 y))) (* x (- (+ (/ 1 (- 2 y)) (/ (* x (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2)))) (- 2 y))) (/ y (pow (- 2 y) 2)))))>
#<alt (+ (* -1 (/ y (- 2 y))) (* x (- (+ (* x (- (/ (* x (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2)))) (pow (- 2 y) 2)) (* -1 (/ (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2))) (- 2 y))))) (/ 1 (- 2 y))) (/ y (pow (- 2 y) 2)))))>
#<alt -1>
#<alt (- (* 2 (/ y x)) (+ 1 (* 2 (/ 1 x))))>
#<alt (- (+ (* 2 (/ y x)) (/ (* (- 2 y) (- (* 2 y) 2)) (pow x 2))) (+ 1 (* 2 (/ 1 x))))>
#<alt (- (+ (* 2 (/ y x)) (/ (* (pow (- 2 y) 2) (- (* 2 y) 2)) (pow x 3))) (+ 1 (+ (* -1 (/ (* (- 2 y) (- (* 2 y) 2)) (pow x 2))) (* 2 (/ 1 x)))))>
#<alt -1>
#<alt (- (* 2 (/ y x)) (+ 1 (* 2 (/ 1 x))))>
#<alt (- (* -1 (/ (+ (* -1 (- (* 2 y) 2)) (* -1 (/ (* (- 2 y) (- (* 2 y) 2)) x))) x)) 1)>
#<alt (- (* -1 (/ (+ (* -1 (- (* 2 y) 2)) (* -1 (/ (+ (* (- 2 y) (- (* 2 y) 2)) (/ (* (pow (- 2 y) 2) (- (* 2 y) 2)) x)) x))) x)) 1)>
#<alt (/ x (- 2 x))>
#<alt (+ (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x)))>
#<alt (+ (* y (- (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 3))) (/ 1 (pow (- 2 x) 2))))) (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x)))>
#<alt (+ (* y (- (* y (- (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 4))) (/ 1 (pow (- 2 x) 3))))) (+ (* -1 (/ x (pow (- 2 x) 3))) (/ 1 (pow (- 2 x) 2))))) (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x)))>
#<alt 1>
#<alt (- (+ 1 (* -1 (/ x y))) (* -1 (/ (- 2 x) y)))>
#<alt (- (+ 1 (+ (* -1 (/ x y)) (/ (* (- 2 x) (- (* -1 x) (* -1 (- 2 x)))) (pow y 2)))) (* -1 (/ (- 2 x) y)))>
#<alt (- (+ 1 (+ (* -1 (/ x y)) (/ (* (pow (- 2 x) 2) (- (* -1 x) (* -1 (- 2 x)))) (pow y 3)))) (+ (* -1 (/ (* (- 2 x) (- (* -1 x) (* -1 (- 2 x)))) (pow y 2))) (* -1 (/ (- 2 x) y))))>
#<alt 1>
#<alt (+ 1 (* -1 (/ (- (* 2 x) 2) y)))>
#<alt (+ 1 (* -1 (/ (- (+ (* 2 x) (/ (* (- 2 x) (- (* 2 x) 2)) y)) 2) y)))>
#<alt (+ 1 (* -1 (/ (- (+ (* -1 (/ (- (* -1 (/ (* (pow (- 2 x) 2) (- (* 2 x) 2)) y)) (* (- 2 x) (- (* 2 x) 2))) y)) (* 2 x)) 2) y)))>
#<alt (* -1 y)>
#<alt (- x y)>
#<alt (- x y)>
#<alt (- x y)>
#<alt x>
#<alt (* x (+ 1 (* -1 (/ y x))))>
#<alt (* x (+ 1 (* -1 (/ y x))))>
#<alt (* x (+ 1 (* -1 (/ y x))))>
#<alt x>
#<alt (* -1 (* x (- (/ y x) 1)))>
#<alt (* -1 (* x (- (/ y x) 1)))>
#<alt (* -1 (* x (- (/ y x) 1)))>
#<alt x>
#<alt (+ x (* -1 y))>
#<alt (+ x (* -1 y))>
#<alt (+ x (* -1 y))>
#<alt (* -1 y)>
#<alt (* y (- (/ x y) 1))>
#<alt (* y (- (/ x y) 1))>
#<alt (* y (- (/ x y) 1))>
#<alt (* -1 y)>
#<alt (* -1 (* y (+ 1 (* -1 (/ x y)))))>
#<alt (* -1 (* y (+ 1 (* -1 (/ x y)))))>
#<alt (* -1 (* y (+ 1 (* -1 (/ x y)))))>
#<alt (- 2 y)>
#<alt (- (+ 2 (* -1 x)) y)>
#<alt (- (+ 2 (* -1 x)) y)>
#<alt (- (+ 2 (* -1 x)) y)>
#<alt (* -1 x)>
#<alt (* x (- (* 2 (/ 1 x)) (+ 1 (/ y x))))>
#<alt (* x (- (* 2 (/ 1 x)) (+ 1 (/ y x))))>
#<alt (* x (- (* 2 (/ 1 x)) (+ 1 (/ y x))))>
#<alt (* -1 x)>
#<alt (* -1 (* x (+ 1 (* -1 (/ (- 2 y) x)))))>
#<alt (* -1 (* x (+ 1 (* -1 (/ (- 2 y) x)))))>
#<alt (* -1 (* x (+ 1 (* -1 (/ (- 2 y) x)))))>
#<alt (- 2 x)>
#<alt (- (+ 2 (* -1 y)) x)>
#<alt (- (+ 2 (* -1 y)) x)>
#<alt (- (+ 2 (* -1 y)) x)>
#<alt (* -1 y)>
#<alt (* y (- (* 2 (/ 1 y)) (+ 1 (/ x y))))>
#<alt (* y (- (* 2 (/ 1 y)) (+ 1 (/ x y))))>
#<alt (* y (- (* 2 (/ 1 y)) (+ 1 (/ x y))))>
#<alt (* -1 y)>
#<alt (* -1 (* y (+ 1 (* -1 (/ (- 2 x) y)))))>
#<alt (* -1 (* y (+ 1 (* -1 (/ (- 2 x) y)))))>
#<alt (* -1 (* y (+ 1 (* -1 (/ (- 2 x) y)))))>
#<alt y>
#<alt (+ x y)>
#<alt (+ x y)>
#<alt (+ x y)>
#<alt x>
#<alt (* x (+ 1 (/ y x)))>
#<alt (* x (+ 1 (/ y x)))>
#<alt (* x (+ 1 (/ y x)))>
#<alt x>
#<alt (* -1 (* x (- (* -1 (/ y x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ y x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ y x)) 1)))>
#<alt x>
#<alt (+ x y)>
#<alt (+ x y)>
#<alt (+ x y)>
#<alt y>
#<alt (* y (+ 1 (/ x y)))>
#<alt (* y (+ 1 (/ x y)))>
#<alt (* y (+ 1 (/ x y)))>
#<alt y>
#<alt (* -1 (* y (- (* -1 (/ x y)) 1)))>
#<alt (* -1 (* y (- (* -1 (/ x y)) 1)))>
#<alt (* -1 (* y (- (* -1 (/ x y)) 1)))>
Calls

24 calls:

TimeVariablePointExpression
1.0ms
y
@inf
(/ (- x y) (- 2 (+ x y)))
1.0ms
x
@0
(/ (- x y) (- 2 (+ x y)))
1.0ms
x
@inf
(/ (- x y) (- 2 (+ x y)))
1.0ms
x
@-inf
(/ (- x y) (- 2 (+ x y)))
1.0ms
y
@0
(/ (- x y) (- 2 (+ x y)))

rewrite446.0ms (5%)

Memory
-20.3MiB live, 672.1MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
4 750×accelerator-lowering-fma.f32
4 750×accelerator-lowering-fma.f64
4 670×*-lowering-*.f32
4 670×*-lowering-*.f64
4 200×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0720
15620
252120
3774520
0846720
Stop Event
1×iter limit
1×node limit
Counts
4 → 607
Calls
Call 1
Inputs
(/ (- x y) (- 2 (+ x y)))
(- x y)
(- 2 (+ x y))
(+ x y)
Outputs
(+.f64 (/.f64 x (-.f64 #s(literal 2 binary64) (+.f64 x y))) (/.f64 y (+.f64 (+.f64 x y) #s(literal -2 binary64))))
(+.f64 (/.f64 x (-.f64 #s(literal 2 binary64) (+.f64 x y))) (*.f64 #s(literal 1 binary64) (/.f64 y (+.f64 (+.f64 x y) #s(literal -2 binary64)))))
(+.f64 (/.f64 x (-.f64 #s(literal 2 binary64) (+.f64 x y))) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (+.f64 x y))) (neg.f64 y)))
(+.f64 (/.f64 y (+.f64 (+.f64 x y) #s(literal -2 binary64))) (/.f64 x (-.f64 #s(literal 2 binary64) (+.f64 x y))))
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (+.f64 x y))) (neg.f64 y)) (/.f64 x (-.f64 #s(literal 2 binary64) (+.f64 x y))))
(+.f64 (*.f64 (/.f64 (-.f64 x y) (fma.f64 (+.f64 x y) (*.f64 (+.f64 x y) (-.f64 (neg.f64 y) x)) #s(literal 8 binary64))) #s(literal 4 binary64)) (*.f64 (/.f64 (-.f64 x y) (fma.f64 (+.f64 x y) (*.f64 (+.f64 x y) (-.f64 (neg.f64 y) x)) #s(literal 8 binary64))) (*.f64 (+.f64 x y) (+.f64 #s(literal 2 binary64) (+.f64 x y)))))
(+.f64 (*.f64 (/.f64 (-.f64 x y) (fma.f64 (+.f64 x y) (*.f64 (+.f64 x y) (-.f64 (neg.f64 y) x)) #s(literal 8 binary64))) (*.f64 (+.f64 x y) (+.f64 #s(literal 2 binary64) (+.f64 x y)))) (*.f64 (/.f64 (-.f64 x y) (fma.f64 (+.f64 x y) (*.f64 (+.f64 x y) (-.f64 (neg.f64 y) x)) #s(literal 8 binary64))) #s(literal 4 binary64)))
(+.f64 (*.f64 (/.f64 (-.f64 x y) (fma.f64 (+.f64 x y) (*.f64 (+.f64 x y) (-.f64 (neg.f64 y) x)) #s(literal 8 binary64))) (fma.f64 (+.f64 x y) (+.f64 x y) #s(literal 4 binary64))) (*.f64 (/.f64 (-.f64 x y) (fma.f64 (+.f64 x y) (*.f64 (+.f64 x y) (-.f64 (neg.f64 y) x)) #s(literal 8 binary64))) (*.f64 #s(literal 2 binary64) (+.f64 x y))))
(+.f64 (*.f64 (/.f64 (-.f64 x y) (fma.f64 (+.f64 x y) (-.f64 (neg.f64 y) x) #s(literal 4 binary64))) #s(literal 2 binary64)) (*.f64 (/.f64 (-.f64 x y) (fma.f64 (+.f64 x y) (-.f64 (neg.f64 y) x) #s(literal 4 binary64))) (+.f64 x y)))
(+.f64 (*.f64 (/.f64 (-.f64 x y) (fma.f64 (+.f64 x y) (-.f64 (neg.f64 y) x) #s(literal 4 binary64))) (+.f64 x y)) (*.f64 (/.f64 (-.f64 x y) (fma.f64 (+.f64 x y) (-.f64 (neg.f64 y) x) #s(literal 4 binary64))) #s(literal 2 binary64)))
(+.f64 (*.f64 (/.f64 (-.f64 x y) (fma.f64 (+.f64 x y) (-.f64 (neg.f64 y) x) #s(literal 4 binary64))) (+.f64 x #s(literal 2 binary64))) (*.f64 (/.f64 (-.f64 x y) (fma.f64 (+.f64 x y) (-.f64 (neg.f64 y) x) #s(literal 4 binary64))) y))
(+.f64 (*.f64 (/.f64 (-.f64 x y) (fma.f64 (+.f64 x y) (-.f64 (neg.f64 y) x) #s(literal 4 binary64))) (+.f64 y #s(literal 2 binary64))) (*.f64 (/.f64 (-.f64 x y) (fma.f64 (+.f64 x y) (-.f64 (neg.f64 y) x) #s(literal 4 binary64))) x))
(+.f64 (*.f64 (/.f64 x (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal 1 binary64)) (*.f64 (/.f64 y (+.f64 (+.f64 x y) #s(literal -2 binary64))) #s(literal 1 binary64)))
(+.f64 (*.f64 #s(literal 4 binary64) (/.f64 (-.f64 x y) (fma.f64 (+.f64 x y) (*.f64 (+.f64 x y) (-.f64 (neg.f64 y) x)) #s(literal 8 binary64)))) (*.f64 (*.f64 (+.f64 x y) (+.f64 #s(literal 2 binary64) (+.f64 x y))) (/.f64 (-.f64 x y) (fma.f64 (+.f64 x y) (*.f64 (+.f64 x y) (-.f64 (neg.f64 y) x)) #s(literal 8 binary64)))))
(+.f64 (*.f64 (*.f64 (+.f64 x y) (+.f64 #s(literal 2 binary64) (+.f64 x y))) (/.f64 (-.f64 x y) (fma.f64 (+.f64 x y) (*.f64 (+.f64 x y) (-.f64 (neg.f64 y) x)) #s(literal 8 binary64)))) (*.f64 #s(literal 4 binary64) (/.f64 (-.f64 x y) (fma.f64 (+.f64 x y) (*.f64 (+.f64 x y) (-.f64 (neg.f64 y) x)) #s(literal 8 binary64)))))
(+.f64 (*.f64 (fma.f64 (+.f64 x y) (+.f64 x y) #s(literal 4 binary64)) (/.f64 (-.f64 x y) (fma.f64 (+.f64 x y) (*.f64 (+.f64 x y) (-.f64 (neg.f64 y) x)) #s(literal 8 binary64)))) (*.f64 (*.f64 #s(literal 2 binary64) (+.f64 x y)) (/.f64 (-.f64 x y) (fma.f64 (+.f64 x y) (*.f64 (+.f64 x y) (-.f64 (neg.f64 y) x)) #s(literal 8 binary64)))))
(+.f64 (*.f64 #s(literal 2 binary64) (/.f64 (-.f64 x y) (fma.f64 (+.f64 x y) (-.f64 (neg.f64 y) x) #s(literal 4 binary64)))) (*.f64 (+.f64 x y) (/.f64 (-.f64 x y) (fma.f64 (+.f64 x y) (-.f64 (neg.f64 y) x) #s(literal 4 binary64)))))
(+.f64 (*.f64 (+.f64 x y) (/.f64 (-.f64 x y) (fma.f64 (+.f64 x y) (-.f64 (neg.f64 y) x) #s(literal 4 binary64)))) (*.f64 #s(literal 2 binary64) (/.f64 (-.f64 x y) (fma.f64 (+.f64 x y) (-.f64 (neg.f64 y) x) #s(literal 4 binary64)))))
(+.f64 (*.f64 (+.f64 x #s(literal 2 binary64)) (/.f64 (-.f64 x y) (fma.f64 (+.f64 x y) (-.f64 (neg.f64 y) x) #s(literal 4 binary64)))) (*.f64 y (/.f64 (-.f64 x y) (fma.f64 (+.f64 x y) (-.f64 (neg.f64 y) x) #s(literal 4 binary64)))))
(+.f64 (*.f64 (+.f64 y #s(literal 2 binary64)) (/.f64 (-.f64 x y) (fma.f64 (+.f64 x y) (-.f64 (neg.f64 y) x) #s(literal 4 binary64)))) (*.f64 x (/.f64 (-.f64 x y) (fma.f64 (+.f64 x y) (-.f64 (neg.f64 y) x) #s(literal 4 binary64)))))
(exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 #s(literal 2 binary64) (+.f64 x y)) (-.f64 x y))) #s(literal -1 binary64)))
(-.f64 (/.f64 x (-.f64 #s(literal 2 binary64) (+.f64 x y))) (/.f64 y (-.f64 #s(literal 2 binary64) (+.f64 x y))))
(-.f64 #s(literal 0 binary64) (/.f64 (-.f64 x y) (+.f64 (+.f64 x y) #s(literal -2 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 (+.f64 x y) #s(literal -2 binary64))) (/.f64 (-.f64 x y) (+.f64 (+.f64 x y) #s(literal -2 binary64))))
(-.f64 (/.f64 (/.f64 (*.f64 x (*.f64 x x)) (fma.f64 x (+.f64 x y) (*.f64 y y))) (-.f64 #s(literal 2 binary64) (+.f64 x y))) (/.f64 (/.f64 (*.f64 y (*.f64 y y)) (fma.f64 x (+.f64 x y) (*.f64 y y))) (-.f64 #s(literal 2 binary64) (+.f64 x y))))
(-.f64 (/.f64 (/.f64 (*.f64 x x) (+.f64 x y)) (-.f64 #s(literal 2 binary64) (+.f64 x y))) (/.f64 (/.f64 (*.f64 y y) (+.f64 x y)) (-.f64 #s(literal 2 binary64) (+.f64 x y))))
(-.f64 (/.f64 (*.f64 x (*.f64 x x)) (*.f64 (-.f64 #s(literal 2 binary64) (+.f64 x y)) (fma.f64 x (+.f64 x y) (*.f64 y y)))) (/.f64 (*.f64 y (*.f64 y y)) (*.f64 (-.f64 #s(literal 2 binary64) (+.f64 x y)) (fma.f64 x (+.f64 x y) (*.f64 y y)))))
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(fma.f64 y #s(literal 1 binary64) (*.f64 x #s(literal 1 binary64)))
(fma.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (-.f64 x y)) (neg.f64 (*.f64 y (/.f64 y (-.f64 x y)))))
(fma.f64 (*.f64 x x) (*.f64 (/.f64 (+.f64 x y) (fma.f64 x (+.f64 x y) (*.f64 y y))) #s(literal 1 binary64)) (*.f64 (*.f64 y (+.f64 x y)) (*.f64 (/.f64 (+.f64 x y) (fma.f64 x (+.f64 x y) (*.f64 y y))) #s(literal 1 binary64))))
(fma.f64 (*.f64 y (+.f64 x y)) (*.f64 (/.f64 (+.f64 x y) (fma.f64 x (+.f64 x y) (*.f64 y y))) #s(literal 1 binary64)) (*.f64 (*.f64 x x) (*.f64 (/.f64 (+.f64 x y) (fma.f64 x (+.f64 x y) (*.f64 y y))) #s(literal 1 binary64))))
(fma.f64 #s(literal 1 binary64) x y)
(fma.f64 #s(literal 1 binary64) y x)
(fma.f64 #s(literal 1 binary64) y (neg.f64 (neg.f64 x)))
(fma.f64 #s(literal 1 binary64) y (*.f64 #s(literal 1 binary64) x))
(fma.f64 #s(literal -1 binary64) (neg.f64 y) x)
(fma.f64 #s(literal -1 binary64) (neg.f64 y) (neg.f64 (neg.f64 x)))
(fma.f64 #s(literal -1 binary64) (neg.f64 y) (*.f64 #s(literal 1 binary64) x))
(fma.f64 (fma.f64 x x (*.f64 y y)) (*.f64 (/.f64 (+.f64 x y) (fma.f64 x (+.f64 x y) (*.f64 y y))) #s(literal 1 binary64)) (*.f64 (*.f64 x y) (*.f64 (/.f64 (+.f64 x y) (fma.f64 x (+.f64 x y) (*.f64 y y))) #s(literal 1 binary64))))
(fma.f64 (*.f64 (/.f64 (+.f64 x y) (fma.f64 x (+.f64 x y) (*.f64 y y))) #s(literal 1 binary64)) (*.f64 x x) (*.f64 (*.f64 (/.f64 (+.f64 x y) (fma.f64 x (+.f64 x y) (*.f64 y y))) #s(literal 1 binary64)) (*.f64 y (+.f64 x y))))
(fma.f64 (*.f64 (/.f64 (+.f64 x y) (fma.f64 x (+.f64 x y) (*.f64 y y))) #s(literal 1 binary64)) (*.f64 y (+.f64 x y)) (*.f64 (*.f64 (/.f64 (+.f64 x y) (fma.f64 x (+.f64 x y) (*.f64 y y))) #s(literal 1 binary64)) (*.f64 x x)))
(fma.f64 (*.f64 (/.f64 (+.f64 x y) (fma.f64 x (+.f64 x y) (*.f64 y y))) #s(literal 1 binary64)) (fma.f64 x x (*.f64 y y)) (*.f64 (*.f64 (/.f64 (+.f64 x y) (fma.f64 x (+.f64 x y) (*.f64 y y))) #s(literal 1 binary64)) (*.f64 x y)))
(fma.f64 (/.f64 (*.f64 x x) (*.f64 (-.f64 x y) (fma.f64 x (+.f64 x y) (*.f64 y y)))) (fma.f64 x (+.f64 x y) (*.f64 y y)) (neg.f64 (*.f64 y (/.f64 y (-.f64 x y)))))
(fma.f64 (/.f64 (*.f64 x x) (*.f64 (-.f64 x y) (fma.f64 x (+.f64 x y) (*.f64 y y)))) (fma.f64 (neg.f64 y) (-.f64 (neg.f64 y) x) (*.f64 x x)) (neg.f64 (*.f64 y (/.f64 y (-.f64 x y)))))
(fma.f64 (/.f64 x (*.f64 (-.f64 x y) (fma.f64 x (+.f64 x y) (*.f64 y y)))) (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x y) (*.f64 y y)))) (neg.f64 (*.f64 y (/.f64 y (-.f64 x y)))))
(fma.f64 (/.f64 x #s(literal 1 binary64)) (/.f64 x (-.f64 x y)) (neg.f64 (*.f64 y (/.f64 y (-.f64 x y)))))
(fma.f64 (/.f64 x (*.f64 (-.f64 x y) (+.f64 x y))) (*.f64 x (+.f64 x y)) (neg.f64 (*.f64 y (/.f64 y (-.f64 x y)))))
(fma.f64 (/.f64 (*.f64 x x) (*.f64 (-.f64 x y) (+.f64 x y))) (+.f64 x y) (neg.f64 (*.f64 y (/.f64 y (-.f64 x y)))))
(fma.f64 (/.f64 x (/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))))) (/.f64 x (fma.f64 x (-.f64 x y) (*.f64 y y))) (neg.f64 (*.f64 y (/.f64 y (-.f64 x y)))))
(fma.f64 (/.f64 (*.f64 x x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 x y)) (neg.f64 (*.f64 y (/.f64 y (-.f64 x y)))))
(fma.f64 (/.f64 (*.f64 x x) (*.f64 (+.f64 x y) (-.f64 y x))) (-.f64 (neg.f64 y) x) (neg.f64 (*.f64 y (/.f64 y (-.f64 x y)))))
(fma.f64 (/.f64 (*.f64 x x) (*.f64 (fma.f64 x (+.f64 x y) (*.f64 y y)) (-.f64 y x))) (neg.f64 (fma.f64 x (+.f64 x y) (*.f64 y y))) (neg.f64 (*.f64 y (/.f64 y (-.f64 x y)))))
(neg.f64 (-.f64 (neg.f64 y) x))
(/.f64 (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))) (fma.f64 x (-.f64 x y) (*.f64 y y)))
(/.f64 (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))) (neg.f64 (neg.f64 (fma.f64 x (-.f64 x y) (*.f64 y y)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x y)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x y)) #s(literal 1 binary64)))
(/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (-.f64 x y))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 x y))))
(/.f64 (neg.f64 (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y)))) (neg.f64 (fma.f64 x (-.f64 x y) (*.f64 y y))))
(/.f64 (*.f64 (+.f64 x y) (-.f64 y x)) (-.f64 y x))
(/.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))))) (*.f64 (fma.f64 x (-.f64 x y) (*.f64 y y)) (fma.f64 (*.f64 y (*.f64 y y)) (-.f64 (*.f64 y (*.f64 y y)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))))))
(/.f64 (*.f64 (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))) (*.f64 (-.f64 x y) (fma.f64 x (+.f64 x y) (*.f64 y y)))) (*.f64 (fma.f64 x (-.f64 x y) (*.f64 y y)) (*.f64 (-.f64 x y) (fma.f64 x (+.f64 x y) (*.f64 y y)))))
(/.f64 (*.f64 (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))) (*.f64 (-.f64 x y) (fma.f64 x (+.f64 x y) (*.f64 y y)))) (*.f64 (-.f64 x y) (fma.f64 (*.f64 y y) (fma.f64 x x (*.f64 y y)) (*.f64 (*.f64 x x) (*.f64 x x)))))
(/.f64 (*.f64 (fma.f64 x x (*.f64 y y)) (*.f64 (-.f64 x y) (+.f64 x y))) (*.f64 (-.f64 x y) (fma.f64 x x (*.f64 y y))))
(/.f64 (*.f64 (+.f64 x y) (*.f64 (-.f64 x y) (+.f64 x y))) (*.f64 (-.f64 x y) (+.f64 x y)))
(/.f64 (*.f64 (/.f64 (+.f64 x y) (fma.f64 x (+.f64 x y) (*.f64 y y))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x y) (*.f64 y y))))
(/.f64 (-.f64 (*.f64 (*.f64 x x) (-.f64 x y)) (*.f64 (-.f64 x y) (*.f64 y y))) (*.f64 (-.f64 x y) (-.f64 x y)))
(/.f64 (neg.f64 (neg.f64 (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))))) (fma.f64 x (-.f64 x y) (*.f64 y y)))
(/.f64 (neg.f64 (neg.f64 (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))))) (neg.f64 (neg.f64 (fma.f64 x (-.f64 x y) (*.f64 y y)))))
(/.f64 (neg.f64 (*.f64 (+.f64 x y) (-.f64 y x))) (-.f64 x y))
(/.f64 (/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))))) (fma.f64 x (-.f64 x y) (*.f64 y y)))
(/.f64 (-.f64 (pow.f64 (*.f64 x (/.f64 x (-.f64 x y))) #s(literal 3 binary64)) (pow.f64 (*.f64 y (/.f64 y (-.f64 x y))) #s(literal 3 binary64))) (fma.f64 (*.f64 x (/.f64 x (-.f64 x y))) (*.f64 x (/.f64 x (-.f64 x y))) (fma.f64 (*.f64 y (/.f64 y (-.f64 x y))) (*.f64 y (/.f64 y (-.f64 x y))) (*.f64 (*.f64 x (/.f64 x (-.f64 x y))) (*.f64 y (/.f64 y (-.f64 x y)))))))
(/.f64 (-.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y (neg.f64 y)))) (fma.f64 x (-.f64 x y) (*.f64 y y)))
(/.f64 (-.f64 (*.f64 (*.f64 x (/.f64 x (-.f64 x y))) (*.f64 x (/.f64 x (-.f64 x y)))) (*.f64 (*.f64 y (/.f64 y (-.f64 x y))) (*.f64 y (/.f64 y (-.f64 x y))))) (fma.f64 x (/.f64 x (-.f64 x y)) (*.f64 y (/.f64 y (-.f64 x y)))))
(/.f64 (*.f64 (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))) #s(literal 1 binary64)) (fma.f64 x (-.f64 x y) (*.f64 y y)))
(/.f64 (*.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y)))) (fma.f64 x (-.f64 x y) (*.f64 y y)))
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (+.f64 x y) (-.f64 y x))) (-.f64 y x))
(/.f64 (*.f64 (*.f64 (/.f64 (+.f64 x y) (fma.f64 x (+.f64 x y) (*.f64 y y))) #s(literal 1 binary64)) (fma.f64 x (*.f64 (*.f64 x x) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (+.f64 x y) (*.f64 (+.f64 x y) (+.f64 x y)))))) (fma.f64 x (*.f64 x (*.f64 x x)) (*.f64 (*.f64 y (+.f64 x y)) (-.f64 (*.f64 y (+.f64 x y)) (*.f64 x x)))))
(/.f64 (*.f64 (*.f64 (/.f64 (+.f64 x y) (fma.f64 x (+.f64 x y) (*.f64 y y))) #s(literal 1 binary64)) (*.f64 (fma.f64 x (+.f64 x y) (*.f64 y y)) (-.f64 (*.f64 x x) (*.f64 y (+.f64 x y))))) (-.f64 (*.f64 x x) (*.f64 y (+.f64 x y))))
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))))) (neg.f64 (fma.f64 x (-.f64 x y) (*.f64 y y))))
(/.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))))) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x y) (*.f64 y y)))) (fma.f64 (*.f64 y (*.f64 y y)) (-.f64 (*.f64 y (*.f64 y y)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x)))))
(/.f64 (*.f64 (*.f64 (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))) (*.f64 (-.f64 x y) (fma.f64 x (+.f64 x y) (*.f64 y y)))) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x y) (*.f64 y y)))) (*.f64 (-.f64 x y) (fma.f64 x (+.f64 x y) (*.f64 y y))))
(/.f64 (*.f64 (*.f64 (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))) (*.f64 (-.f64 x y) (fma.f64 x (+.f64 x y) (*.f64 y y)))) (/.f64 #s(literal 1 binary64) (-.f64 x y))) (fma.f64 (*.f64 y y) (fma.f64 x x (*.f64 y y)) (*.f64 (*.f64 x x) (*.f64 x x))))
(/.f64 (*.f64 (*.f64 (fma.f64 x x (*.f64 y y)) (*.f64 (-.f64 x y) (+.f64 x y))) (/.f64 #s(literal 1 binary64) (-.f64 x y))) (fma.f64 x x (*.f64 y y)))
(/.f64 (*.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (fma.f64 x (+.f64 x y) (*.f64 y y))) (*.f64 (-.f64 x y) (fma.f64 x (+.f64 x y) (*.f64 y y))))
(/.f64 (/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) #s(literal 1 binary64)) (-.f64 x y))
(/.f64 (/.f64 (*.f64 (+.f64 x y) (-.f64 y x)) #s(literal -1 binary64)) (-.f64 x y))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 x y)) #s(literal -1 binary64))
(*.f64 (+.f64 x y) #s(literal 1 binary64))
(*.f64 (+.f64 x y) (*.f64 (-.f64 x y) (/.f64 #s(literal 1 binary64) (-.f64 x y))))
(*.f64 (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x y) (*.f64 y y))))
(*.f64 (fma.f64 x (-.f64 x y) (*.f64 y y)) (/.f64 (+.f64 x y) (fma.f64 x (-.f64 x y) (*.f64 y y))))
(*.f64 (fma.f64 x (-.f64 x y) (*.f64 y y)) (*.f64 (+.f64 x y) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x y) (*.f64 y y)))))
(*.f64 (fma.f64 x (+.f64 x y) (*.f64 y y)) (*.f64 (/.f64 (+.f64 x y) (fma.f64 x (+.f64 x y) (*.f64 y y))) #s(literal 1 binary64)))
(*.f64 #s(literal 1 binary64) (+.f64 x y))
(*.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (/.f64 #s(literal 1 binary64) (-.f64 x y)))
(*.f64 #s(literal -1 binary64) (-.f64 (neg.f64 y) x))
(*.f64 (neg.f64 (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 x (-.f64 x y) (*.f64 y y)))))
(*.f64 (*.f64 (+.f64 x y) (-.f64 y x)) (/.f64 #s(literal 1 binary64) (-.f64 y x)))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 x y)) (*.f64 (-.f64 x y) (+.f64 x y)))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x y) (*.f64 y y))) (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))))
(*.f64 (*.f64 (/.f64 (+.f64 x y) (fma.f64 x (+.f64 x y) (*.f64 y y))) #s(literal 1 binary64)) (fma.f64 x (+.f64 x y) (*.f64 y y)))
(*.f64 (*.f64 (/.f64 (+.f64 x y) (fma.f64 x (+.f64 x y) (*.f64 y y))) #s(literal 1 binary64)) (fma.f64 (neg.f64 y) (-.f64 (neg.f64 y) x) (*.f64 x x)))
(*.f64 (/.f64 (+.f64 x y) (*.f64 (-.f64 x y) (fma.f64 x (+.f64 x y) (*.f64 y y)))) (/.f64 (-.f64 x y) (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x y) (*.f64 y y)))))
(*.f64 (/.f64 (+.f64 x y) #s(literal 1 binary64)) #s(literal 1 binary64))
(*.f64 (/.f64 (+.f64 x y) (/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))))) (/.f64 (-.f64 x y) (fma.f64 x (-.f64 x y) (*.f64 y y))))
(*.f64 (*.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y)))) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x y) (*.f64 y y))))
(*.f64 (*.f64 #s(literal 1 binary64) (*.f64 (/.f64 (+.f64 x y) (fma.f64 x (+.f64 x y) (*.f64 y y))) #s(literal 1 binary64))) (fma.f64 x (+.f64 x y) (*.f64 y y)))
(*.f64 (/.f64 (*.f64 (+.f64 x y) (-.f64 y x)) (*.f64 (-.f64 x y) (fma.f64 x (+.f64 x y) (*.f64 y y)))) (neg.f64 (fma.f64 x (+.f64 x y) (*.f64 y y))))
(*.f64 (/.f64 (*.f64 (+.f64 x y) (-.f64 y x)) (*.f64 (-.f64 x y) (+.f64 x y))) (-.f64 (neg.f64 y) x))
(*.f64 (/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 x y)))
(*.f64 (/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (*.f64 (+.f64 x y) (-.f64 y x))) (-.f64 (neg.f64 y) x))
(*.f64 (/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (*.f64 (fma.f64 x (+.f64 x y) (*.f64 y y)) (-.f64 y x))) (neg.f64 (fma.f64 x (+.f64 x y) (*.f64 y y))))
(*.f64 (/.f64 (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))) (fma.f64 x (*.f64 (*.f64 x x) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 y (-.f64 y x)) (*.f64 (*.f64 y (-.f64 y x)) (*.f64 y (-.f64 y x)))))) (fma.f64 (*.f64 y (-.f64 y x)) (-.f64 (*.f64 y (-.f64 y x)) (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 x x))))
(*.f64 (/.f64 (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))) (*.f64 (fma.f64 x (-.f64 x y) (*.f64 y y)) (-.f64 (*.f64 x x) (*.f64 y (-.f64 y x))))) (-.f64 (*.f64 x x) (*.f64 y (-.f64 y x))))

simplify425.0ms (4.8%)

Memory
38.2MiB live, 788.1MiB allocated
Algorithm
1×egg-herbie
Rules
12 038×accelerator-lowering-fma.f32
12 038×accelerator-lowering-fma.f64
4 472×*-lowering-*.f32
4 472×*-lowering-*.f64
2 680×--lowering--.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0186985
1571921
21809857
37607851
08573806
Stop Event
1×iter limit
1×node limit
Counts
96 → 96
Calls
Call 1
Inputs
(* -1 (/ y (- 2 y)))
(+ (* -1 (/ y (- 2 y))) (* x (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2)))))
(+ (* -1 (/ y (- 2 y))) (* x (- (+ (/ 1 (- 2 y)) (/ (* x (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2)))) (- 2 y))) (/ y (pow (- 2 y) 2)))))
(+ (* -1 (/ y (- 2 y))) (* x (- (+ (* x (- (/ (* x (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2)))) (pow (- 2 y) 2)) (* -1 (/ (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2))) (- 2 y))))) (/ 1 (- 2 y))) (/ y (pow (- 2 y) 2)))))
-1
(- (* 2 (/ y x)) (+ 1 (* 2 (/ 1 x))))
(- (+ (* 2 (/ y x)) (/ (* (- 2 y) (- (* 2 y) 2)) (pow x 2))) (+ 1 (* 2 (/ 1 x))))
(- (+ (* 2 (/ y x)) (/ (* (pow (- 2 y) 2) (- (* 2 y) 2)) (pow x 3))) (+ 1 (+ (* -1 (/ (* (- 2 y) (- (* 2 y) 2)) (pow x 2))) (* 2 (/ 1 x)))))
-1
(- (* 2 (/ y x)) (+ 1 (* 2 (/ 1 x))))
(- (* -1 (/ (+ (* -1 (- (* 2 y) 2)) (* -1 (/ (* (- 2 y) (- (* 2 y) 2)) x))) x)) 1)
(- (* -1 (/ (+ (* -1 (- (* 2 y) 2)) (* -1 (/ (+ (* (- 2 y) (- (* 2 y) 2)) (/ (* (pow (- 2 y) 2) (- (* 2 y) 2)) x)) x))) x)) 1)
(/ x (- 2 x))
(+ (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x)))
(+ (* y (- (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 3))) (/ 1 (pow (- 2 x) 2))))) (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x)))
(+ (* y (- (* y (- (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 4))) (/ 1 (pow (- 2 x) 3))))) (+ (* -1 (/ x (pow (- 2 x) 3))) (/ 1 (pow (- 2 x) 2))))) (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x)))
1
(- (+ 1 (* -1 (/ x y))) (* -1 (/ (- 2 x) y)))
(- (+ 1 (+ (* -1 (/ x y)) (/ (* (- 2 x) (- (* -1 x) (* -1 (- 2 x)))) (pow y 2)))) (* -1 (/ (- 2 x) y)))
(- (+ 1 (+ (* -1 (/ x y)) (/ (* (pow (- 2 x) 2) (- (* -1 x) (* -1 (- 2 x)))) (pow y 3)))) (+ (* -1 (/ (* (- 2 x) (- (* -1 x) (* -1 (- 2 x)))) (pow y 2))) (* -1 (/ (- 2 x) y))))
1
(+ 1 (* -1 (/ (- (* 2 x) 2) y)))
(+ 1 (* -1 (/ (- (+ (* 2 x) (/ (* (- 2 x) (- (* 2 x) 2)) y)) 2) y)))
(+ 1 (* -1 (/ (- (+ (* -1 (/ (- (* -1 (/ (* (pow (- 2 x) 2) (- (* 2 x) 2)) y)) (* (- 2 x) (- (* 2 x) 2))) y)) (* 2 x)) 2) y)))
(* -1 y)
(- x y)
(- x y)
(- x y)
x
(* x (+ 1 (* -1 (/ y x))))
(* x (+ 1 (* -1 (/ y x))))
(* x (+ 1 (* -1 (/ y x))))
x
(* -1 (* x (- (/ y x) 1)))
(* -1 (* x (- (/ y x) 1)))
(* -1 (* x (- (/ y x) 1)))
x
(+ x (* -1 y))
(+ x (* -1 y))
(+ x (* -1 y))
(* -1 y)
(* y (- (/ x y) 1))
(* y (- (/ x y) 1))
(* y (- (/ x y) 1))
(* -1 y)
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(- 2 y)
(- (+ 2 (* -1 x)) y)
(- (+ 2 (* -1 x)) y)
(- (+ 2 (* -1 x)) y)
(* -1 x)
(* x (- (* 2 (/ 1 x)) (+ 1 (/ y x))))
(* x (- (* 2 (/ 1 x)) (+ 1 (/ y x))))
(* x (- (* 2 (/ 1 x)) (+ 1 (/ y x))))
(* -1 x)
(* -1 (* x (+ 1 (* -1 (/ (- 2 y) x)))))
(* -1 (* x (+ 1 (* -1 (/ (- 2 y) x)))))
(* -1 (* x (+ 1 (* -1 (/ (- 2 y) x)))))
(- 2 x)
(- (+ 2 (* -1 y)) x)
(- (+ 2 (* -1 y)) x)
(- (+ 2 (* -1 y)) x)
(* -1 y)
(* y (- (* 2 (/ 1 y)) (+ 1 (/ x y))))
(* y (- (* 2 (/ 1 y)) (+ 1 (/ x y))))
(* y (- (* 2 (/ 1 y)) (+ 1 (/ x y))))
(* -1 y)
(* -1 (* y (+ 1 (* -1 (/ (- 2 x) y)))))
(* -1 (* y (+ 1 (* -1 (/ (- 2 x) y)))))
(* -1 (* y (+ 1 (* -1 (/ (- 2 x) y)))))
y
(+ x y)
(+ x y)
(+ x y)
x
(* x (+ 1 (/ y x)))
(* x (+ 1 (/ y x)))
(* x (+ 1 (/ y x)))
x
(* -1 (* x (- (* -1 (/ y x)) 1)))
(* -1 (* x (- (* -1 (/ y x)) 1)))
(* -1 (* x (- (* -1 (/ y x)) 1)))
x
(+ x y)
(+ x y)
(+ x y)
y
(* y (+ 1 (/ x y)))
(* y (+ 1 (/ x y)))
(* y (+ 1 (/ x y)))
y
(* -1 (* y (- (* -1 (/ x y)) 1)))
(* -1 (* y (- (* -1 (/ x y)) 1)))
(* -1 (* y (- (* -1 (/ x y)) 1)))
Outputs
(* -1 (/ y (- 2 y)))
(/.f64 y (+.f64 y #s(literal -2 binary64)))
(+ (* -1 (/ y (- 2 y))) (* x (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2)))))
(+.f64 (/.f64 y (+.f64 y #s(literal -2 binary64))) (fma.f64 x (/.f64 y (*.f64 (-.f64 #s(literal 2 binary64) y) (+.f64 y #s(literal -2 binary64)))) (/.f64 x (-.f64 #s(literal 2 binary64) y))))
(+ (* -1 (/ y (- 2 y))) (* x (- (+ (/ 1 (- 2 y)) (/ (* x (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2)))) (- 2 y))) (/ y (pow (- 2 y) 2)))))
(fma.f64 x (fma.f64 x (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) y)) (/.f64 y (*.f64 (-.f64 #s(literal 2 binary64) y) (+.f64 y #s(literal -2 binary64))))) (-.f64 #s(literal 2 binary64) y)) (+.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) y)) (/.f64 y (*.f64 (-.f64 #s(literal 2 binary64) y) (+.f64 y #s(literal -2 binary64)))))) (/.f64 y (+.f64 y #s(literal -2 binary64))))
(+ (* -1 (/ y (- 2 y))) (* x (- (+ (* x (- (/ (* x (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2)))) (pow (- 2 y) 2)) (* -1 (/ (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2))) (- 2 y))))) (/ 1 (- 2 y))) (/ y (pow (- 2 y) 2)))))
(fma.f64 x (fma.f64 x (*.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) y)) (/.f64 y (*.f64 (-.f64 #s(literal 2 binary64) y) (+.f64 y #s(literal -2 binary64))))) (-.f64 #s(literal 2 binary64) y)) (+.f64 (/.f64 x (-.f64 #s(literal 2 binary64) y)) #s(literal 1 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) y)) (/.f64 y (*.f64 (-.f64 #s(literal 2 binary64) y) (+.f64 y #s(literal -2 binary64)))))) (/.f64 y (+.f64 y #s(literal -2 binary64))))
-1
#s(literal -1 binary64)
(- (* 2 (/ y x)) (+ 1 (* 2 (/ 1 x))))
(+.f64 (/.f64 (fma.f64 y #s(literal 2 binary64) #s(literal -2 binary64)) x) #s(literal -1 binary64))
(- (+ (* 2 (/ y x)) (/ (* (- 2 y) (- (* 2 y) 2)) (pow x 2))) (+ 1 (* 2 (/ 1 x))))
(fma.f64 (-.f64 #s(literal 2 binary64) y) (/.f64 (fma.f64 y #s(literal 2 binary64) #s(literal -2 binary64)) (*.f64 x x)) (+.f64 (/.f64 (fma.f64 y #s(literal 2 binary64) #s(literal -2 binary64)) x) #s(literal -1 binary64)))
(- (+ (* 2 (/ y x)) (/ (* (pow (- 2 y) 2) (- (* 2 y) 2)) (pow x 3))) (+ 1 (+ (* -1 (/ (* (- 2 y) (- (* 2 y) 2)) (pow x 2))) (* 2 (/ 1 x)))))
(fma.f64 (-.f64 #s(literal 2 binary64) y) (/.f64 (*.f64 (-.f64 #s(literal 2 binary64) y) (fma.f64 y #s(literal 2 binary64) #s(literal -2 binary64))) (*.f64 x (*.f64 x x))) (-.f64 #s(literal -1 binary64) (/.f64 (*.f64 (fma.f64 y #s(literal 2 binary64) #s(literal -2 binary64)) (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 2 binary64) y) x))) x)))
-1
#s(literal -1 binary64)
(- (* 2 (/ y x)) (+ 1 (* 2 (/ 1 x))))
(+.f64 (/.f64 (fma.f64 y #s(literal 2 binary64) #s(literal -2 binary64)) x) #s(literal -1 binary64))
(- (* -1 (/ (+ (* -1 (- (* 2 y) 2)) (* -1 (/ (* (- 2 y) (- (* 2 y) 2)) x))) x)) 1)
(-.f64 #s(literal -1 binary64) (/.f64 (*.f64 (fma.f64 y #s(literal 2 binary64) #s(literal -2 binary64)) (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 2 binary64) y) x))) x))
(- (* -1 (/ (+ (* -1 (- (* 2 y) 2)) (* -1 (/ (+ (* (- 2 y) (- (* 2 y) 2)) (/ (* (pow (- 2 y) 2) (- (* 2 y) 2)) x)) x))) x)) 1)
(+.f64 #s(literal -1 binary64) (/.f64 (+.f64 (fma.f64 y #s(literal 2 binary64) #s(literal -2 binary64)) (/.f64 (*.f64 (fma.f64 y #s(literal 2 binary64) #s(literal -2 binary64)) (fma.f64 (-.f64 #s(literal 2 binary64) y) (/.f64 (-.f64 #s(literal 2 binary64) y) x) (-.f64 #s(literal 2 binary64) y))) x)) x))
(/ x (- 2 x))
(/.f64 x (-.f64 #s(literal 2 binary64) x))
(+ (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x)))
(fma.f64 y (+.f64 (/.f64 x (*.f64 (-.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 2 binary64) x))) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 2 binary64) x))) (/.f64 x (-.f64 #s(literal 2 binary64) x)))
(+ (* y (- (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 3))) (/ 1 (pow (- 2 x) 2))))) (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x)))
(fma.f64 y (+.f64 (fma.f64 y (/.f64 x (*.f64 (-.f64 #s(literal 2 binary64) x) (*.f64 (-.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 2 binary64) x)))) (/.f64 y (*.f64 (-.f64 #s(literal 2 binary64) x) (+.f64 x #s(literal -2 binary64))))) (+.f64 (/.f64 x (*.f64 (-.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 2 binary64) x))) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 2 binary64) x)))) (/.f64 x (-.f64 #s(literal 2 binary64) x)))
(+ (* y (- (* y (- (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 4))) (/ 1 (pow (- 2 x) 3))))) (+ (* -1 (/ x (pow (- 2 x) 3))) (/ 1 (pow (- 2 x) 2))))) (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x)))
(+.f64 (/.f64 x (-.f64 #s(literal 2 binary64) x)) (fma.f64 y (fma.f64 y (+.f64 (/.f64 x (*.f64 (-.f64 #s(literal 2 binary64) x) (*.f64 (-.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 2 binary64) x)))) (+.f64 (/.f64 #s(literal -1 binary64) (*.f64 (-.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 2 binary64) x))) (fma.f64 y (/.f64 x (pow.f64 (-.f64 #s(literal 2 binary64) x) #s(literal 4 binary64))) (/.f64 y (*.f64 (-.f64 #s(literal 2 binary64) x) (*.f64 (-.f64 #s(literal 2 binary64) x) (+.f64 x #s(literal -2 binary64)))))))) (/.f64 x (*.f64 (-.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 2 binary64) x)))) (/.f64 y (+.f64 x #s(literal -2 binary64)))))
1
#s(literal 1 binary64)
(- (+ 1 (* -1 (/ x y))) (* -1 (/ (- 2 x) y)))
(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 2 binary64) (+.f64 x x)) y))
(- (+ 1 (+ (* -1 (/ x y)) (/ (* (- 2 x) (- (* -1 x) (* -1 (- 2 x)))) (pow y 2)))) (* -1 (/ (- 2 x) y)))
(fma.f64 (-.f64 #s(literal 2 binary64) x) (/.f64 (-.f64 #s(literal 2 binary64) (+.f64 x x)) (*.f64 y y)) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 2 binary64) (+.f64 x x)) y)))
(- (+ 1 (+ (* -1 (/ x y)) (/ (* (pow (- 2 x) 2) (- (* -1 x) (* -1 (- 2 x)))) (pow y 3)))) (+ (* -1 (/ (* (- 2 x) (- (* -1 x) (* -1 (- 2 x)))) (pow y 2))) (* -1 (/ (- 2 x) y))))
(+.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) (fma.f64 (/.f64 (-.f64 #s(literal 2 binary64) (+.f64 x x)) (*.f64 y y)) (-.f64 (*.f64 (-.f64 #s(literal 2 binary64) x) (/.f64 (-.f64 #s(literal 2 binary64) x) y)) (+.f64 x #s(literal -2 binary64))) (/.f64 (-.f64 #s(literal 2 binary64) x) y)))
1
#s(literal 1 binary64)
(+ 1 (* -1 (/ (- (* 2 x) 2) y)))
(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 2 binary64) (+.f64 x x)) y))
(+ 1 (* -1 (/ (- (+ (* 2 x) (/ (* (- 2 x) (- (* 2 x) 2)) y)) 2) y)))
(-.f64 #s(literal 1 binary64) (/.f64 (+.f64 (+.f64 x x) (fma.f64 (-.f64 #s(literal 2 binary64) x) (/.f64 (+.f64 (+.f64 x x) #s(literal -2 binary64)) y) #s(literal -2 binary64))) y))
(+ 1 (* -1 (/ (- (+ (* -1 (/ (- (* -1 (/ (* (pow (- 2 x) 2) (- (* 2 x) 2)) y)) (* (- 2 x) (- (* 2 x) 2))) y)) (* 2 x)) 2) y)))
(-.f64 #s(literal 1 binary64) (/.f64 (+.f64 (+.f64 x x) (+.f64 (/.f64 (*.f64 (+.f64 (+.f64 x x) #s(literal -2 binary64)) (fma.f64 (-.f64 #s(literal 2 binary64) x) (/.f64 (-.f64 #s(literal 2 binary64) x) y) (-.f64 #s(literal 2 binary64) x))) y) #s(literal -2 binary64))) y))
(* -1 y)
(neg.f64 y)
(- x y)
(-.f64 x y)
(- x y)
(-.f64 x y)
(- x y)
(-.f64 x y)
x
(* x (+ 1 (* -1 (/ y x))))
(-.f64 x (/.f64 (*.f64 y x) x))
(* x (+ 1 (* -1 (/ y x))))
(-.f64 x (/.f64 (*.f64 y x) x))
(* x (+ 1 (* -1 (/ y x))))
(-.f64 x (/.f64 (*.f64 y x) x))
x
(* -1 (* x (- (/ y x) 1)))
(-.f64 x (/.f64 (*.f64 y x) x))
(* -1 (* x (- (/ y x) 1)))
(-.f64 x (/.f64 (*.f64 y x) x))
(* -1 (* x (- (/ y x) 1)))
(-.f64 x (/.f64 (*.f64 y x) x))
x
(+ x (* -1 y))
(-.f64 x y)
(+ x (* -1 y))
(-.f64 x y)
(+ x (* -1 y))
(-.f64 x y)
(* -1 y)
(neg.f64 y)
(* y (- (/ x y) 1))
(fma.f64 y (/.f64 x y) (neg.f64 y))
(* y (- (/ x y) 1))
(fma.f64 y (/.f64 x y) (neg.f64 y))
(* y (- (/ x y) 1))
(fma.f64 y (/.f64 x y) (neg.f64 y))
(* -1 y)
(neg.f64 y)
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(fma.f64 y (/.f64 x y) (neg.f64 y))
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(fma.f64 y (/.f64 x y) (neg.f64 y))
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(fma.f64 y (/.f64 x y) (neg.f64 y))
(- 2 y)
(-.f64 #s(literal 2 binary64) y)
(- (+ 2 (* -1 x)) y)
(-.f64 #s(literal 2 binary64) (+.f64 y x))
(- (+ 2 (* -1 x)) y)
(-.f64 #s(literal 2 binary64) (+.f64 y x))
(- (+ 2 (* -1 x)) y)
(-.f64 #s(literal 2 binary64) (+.f64 y x))
(* -1 x)
(neg.f64 x)
(* x (- (* 2 (/ 1 x)) (+ 1 (/ y x))))
(-.f64 (/.f64 (*.f64 (-.f64 #s(literal 2 binary64) y) x) x) x)
(* x (- (* 2 (/ 1 x)) (+ 1 (/ y x))))
(-.f64 (/.f64 (*.f64 (-.f64 #s(literal 2 binary64) y) x) x) x)
(* x (- (* 2 (/ 1 x)) (+ 1 (/ y x))))
(-.f64 (/.f64 (*.f64 (-.f64 #s(literal 2 binary64) y) x) x) x)
(* -1 x)
(neg.f64 x)
(* -1 (* x (+ 1 (* -1 (/ (- 2 y) x)))))
(-.f64 (/.f64 (*.f64 (-.f64 #s(literal 2 binary64) y) x) x) x)
(* -1 (* x (+ 1 (* -1 (/ (- 2 y) x)))))
(-.f64 (/.f64 (*.f64 (-.f64 #s(literal 2 binary64) y) x) x) x)
(* -1 (* x (+ 1 (* -1 (/ (- 2 y) x)))))
(-.f64 (/.f64 (*.f64 (-.f64 #s(literal 2 binary64) y) x) x) x)
(- 2 x)
(-.f64 #s(literal 2 binary64) x)
(- (+ 2 (* -1 y)) x)
(-.f64 #s(literal 2 binary64) (+.f64 y x))
(- (+ 2 (* -1 y)) x)
(-.f64 #s(literal 2 binary64) (+.f64 y x))
(- (+ 2 (* -1 y)) x)
(-.f64 #s(literal 2 binary64) (+.f64 y x))
(* -1 y)
(neg.f64 y)
(* y (- (* 2 (/ 1 y)) (+ 1 (/ x y))))
(-.f64 (*.f64 y (/.f64 (-.f64 #s(literal 2 binary64) x) y)) y)
(* y (- (* 2 (/ 1 y)) (+ 1 (/ x y))))
(-.f64 (*.f64 y (/.f64 (-.f64 #s(literal 2 binary64) x) y)) y)
(* y (- (* 2 (/ 1 y)) (+ 1 (/ x y))))
(-.f64 (*.f64 y (/.f64 (-.f64 #s(literal 2 binary64) x) y)) y)
(* -1 y)
(neg.f64 y)
(* -1 (* y (+ 1 (* -1 (/ (- 2 x) y)))))
(-.f64 (*.f64 y (/.f64 (-.f64 #s(literal 2 binary64) x) y)) y)
(* -1 (* y (+ 1 (* -1 (/ (- 2 x) y)))))
(-.f64 (*.f64 y (/.f64 (-.f64 #s(literal 2 binary64) x) y)) y)
(* -1 (* y (+ 1 (* -1 (/ (- 2 x) y)))))
(-.f64 (*.f64 y (/.f64 (-.f64 #s(literal 2 binary64) x) y)) y)
y
(+ x y)
(+.f64 y x)
(+ x y)
(+.f64 y x)
(+ x y)
(+.f64 y x)
x
(* x (+ 1 (/ y x)))
(fma.f64 x (/.f64 y x) x)
(* x (+ 1 (/ y x)))
(fma.f64 x (/.f64 y x) x)
(* x (+ 1 (/ y x)))
(fma.f64 x (/.f64 y x) x)
x
(* -1 (* x (- (* -1 (/ y x)) 1)))
(fma.f64 x (/.f64 y x) x)
(* -1 (* x (- (* -1 (/ y x)) 1)))
(fma.f64 x (/.f64 y x) x)
(* -1 (* x (- (* -1 (/ y x)) 1)))
(fma.f64 x (/.f64 y x) x)
x
(+ x y)
(+.f64 y x)
(+ x y)
(+.f64 y x)
(+ x y)
(+.f64 y x)
y
(* y (+ 1 (/ x y)))
(fma.f64 y (/.f64 x y) y)
(* y (+ 1 (/ x y)))
(fma.f64 y (/.f64 x y) y)
(* y (+ 1 (/ x y)))
(fma.f64 y (/.f64 x y) y)
y
(* -1 (* y (- (* -1 (/ x y)) 1)))
(fma.f64 y (/.f64 x y) y)
(* -1 (* y (- (* -1 (/ x y)) 1)))
(fma.f64 y (/.f64 x y) y)
(* -1 (* y (- (* -1 (/ x y)) 1)))
(fma.f64 y (/.f64 x y) y)

eval116.0ms (1.3%)

Memory
-10.7MiB live, 176.9MiB allocated
Compiler

Compiled 19 591 to 1 839 computations (90.6% saved)

prune115.0ms (1.3%)

Memory
27.6MiB live, 187.6MiB allocated
Pruning

13 alts after pruning (12 fresh and 1 done)

PrunedKeptTotal
New69112703
Fresh000
Picked011
Done000
Total69113704
Accuracy
100.0%
Counts
704 → 13
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓100.0%
(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y)))
65.0%
(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) y))
35.5%
(/.f64 (-.f64 x y) (neg.f64 y))
▶36.1%
(/.f64 (-.f64 x y) (neg.f64 x))
50.7%
(/.f64 y (+.f64 y #s(literal -2 binary64)))
▶50.7%
(/.f64 x (-.f64 #s(literal 2 binary64) (+.f64 x y)))
▶50.5%
(/.f64 x (-.f64 #s(literal 2 binary64) x))
▶99.8%
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 2 binary64) (+.f64 x y)) (-.f64 x y)))
36.2%
(+.f64 (/.f64 (fma.f64 y #s(literal 2 binary64) #s(literal -2 binary64)) x) #s(literal -1 binary64))
35.4%
(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 2 binary64) (+.f64 x x)) y))
99.8%
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (+.f64 x y))) (-.f64 x y))
35.4%
#s(literal 1 binary64)
▶35.8%
#s(literal -1 binary64)
Compiler

Compiled 213 to 151 computations (29.1% saved)

simplify131.0ms (1.5%)

Memory
-39.2MiB live, 92.0MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 12 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(+.f64 x y)
✓cost-diff0
(-.f64 #s(literal 2 binary64) (+.f64 x y))
✓cost-diff0
(/.f64 x (-.f64 #s(literal 2 binary64) (+.f64 x y)))
✓cost-diff0
(neg.f64 x)
✓cost-diff0
(-.f64 x y)
✓cost-diff128
(/.f64 (-.f64 x y) (neg.f64 x))
✓cost-diff0
(-.f64 #s(literal 2 binary64) x)
✓cost-diff0
(/.f64 x (-.f64 #s(literal 2 binary64) x))
✓cost-diff0
(+.f64 x y)
✓cost-diff0
(-.f64 #s(literal 2 binary64) (+.f64 x y))
✓cost-diff0
(/.f64 (-.f64 #s(literal 2 binary64) (+.f64 x y)) (-.f64 x y))
✓cost-diff704
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 2 binary64) (+.f64 x y)) (-.f64 x y)))
Rules
1 248×accelerator-lowering-fma.f32
1 248×accelerator-lowering-fma.f64
724×div-sub
592×*-lowering-*.f32
592×*-lowering-*.f64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01577
13677
28474
319774
448274
5124174
6222874
7256674
8309674
9313874
10317774
11317774
0317774
Stop Event
1×iter limit
1×saturated
Calls
Call 1
Inputs
(/ 1 (/ (- 2 (+ x y)) (- x y)))
1
(/ (- 2 (+ x y)) (- x y))
(- 2 (+ x y))
2
(+ x y)
x
y
(- x y)
-1
(/ x (- 2 x))
x
(- 2 x)
2
(/ (- x y) (neg x))
(- x y)
x
y
(neg x)
(/ x (- 2 (+ x y)))
x
(- 2 (+ x y))
2
(+ x y)
y
Outputs
(/ 1 (/ (- 2 (+ x y)) (- x y)))
(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y)))
1
#s(literal 1 binary64)
(/ (- 2 (+ x y)) (- x y))
(/.f64 (-.f64 #s(literal 2 binary64) (+.f64 x y)) (-.f64 x y))
(- 2 (+ x y))
(-.f64 #s(literal 2 binary64) (+.f64 x y))
2
#s(literal 2 binary64)
(+ x y)
(+.f64 x y)
x
y
(- x y)
(-.f64 x y)
-1
#s(literal -1 binary64)
(/ x (- 2 x))
(/.f64 x (-.f64 #s(literal 2 binary64) x))
x
(- 2 x)
(-.f64 #s(literal 2 binary64) x)
2
#s(literal 2 binary64)
(/ (- x y) (neg x))
(+.f64 #s(literal -1 binary64) (/.f64 y x))
(- x y)
(-.f64 x y)
x
y
(neg x)
(neg.f64 x)
(/ x (- 2 (+ x y)))
(/.f64 x (-.f64 #s(literal 2 binary64) (+.f64 x y)))
x
(- 2 (+ x y))
(-.f64 #s(literal 2 binary64) (+.f64 x y))
2
#s(literal 2 binary64)
(+ x y)
(+.f64 x y)
y

localize71.0ms (0.8%)

Memory
3.4MiB live, 77.0MiB allocated
Localize:

Found 12 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(-.f64 #s(literal 2 binary64) (+.f64 x y))
✓accuracy100.0%
(+.f64 x y)
✓accuracy100.0%
(/.f64 x (-.f64 #s(literal 2 binary64) (+.f64 x y)))
✓accuracy100.0%
(-.f64 x y)
✓accuracy100.0%
(neg.f64 x)
✓accuracy100.0%
(/.f64 (-.f64 x y) (neg.f64 x))
✓accuracy100.0%
(-.f64 #s(literal 2 binary64) x)
✓accuracy100.0%
(/.f64 x (-.f64 #s(literal 2 binary64) x))
✓accuracy100.0%
(-.f64 #s(literal 2 binary64) (+.f64 x y))
✓accuracy100.0%
(+.f64 x y)
✓accuracy100.0%
(/.f64 (-.f64 #s(literal 2 binary64) (+.f64 x y)) (-.f64 x y))
✓accuracy99.8%
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 2 binary64) (+.f64 x y)) (-.f64 x y)))
Samples
27.0ms255×0valid
0.0ms1×2valid
Compiler

Compiled 79 to 17 computations (78.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 15.0ms
ival-div: 8.0ms (53% of total)
ival-sub: 4.0ms (26.5% of total)
ival-add: 2.0ms (13.3% of total)
ival-neg: 1.0ms (6.6% of total)
adjust: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series11.0ms (0.1%)

Memory
24.4MiB live, 24.4MiB allocated
Counts
10 → 204
Calls
Call 1
Inputs
#<alt (/ 1 (/ (- 2 (+ x y)) (- x y)))>
#<alt (/ (- 2 (+ x y)) (- x y))>
#<alt (- 2 (+ x y))>
#<alt (+ x y)>
#<alt (/ x (- 2 x))>
#<alt (- 2 x)>
#<alt (/ (- x y) (neg x))>
#<alt (- x y)>
#<alt (neg x)>
#<alt (/ x (- 2 (+ x y)))>
Outputs
#<alt (* -1 (/ y (- 2 y)))>
#<alt (+ (* -1 (/ y (- 2 y))) (* x (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2)))))>
#<alt (+ (* -1 (/ y (- 2 y))) (* x (- (+ (/ 1 (- 2 y)) (/ (* x (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2)))) (- 2 y))) (/ y (pow (- 2 y) 2)))))>
#<alt (+ (* -1 (/ y (- 2 y))) (* x (- (+ (* x (- (/ (* x (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2)))) (pow (- 2 y) 2)) (* -1 (/ (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2))) (- 2 y))))) (/ 1 (- 2 y))) (/ y (pow (- 2 y) 2)))))>
#<alt -1>
#<alt (- (* 2 (/ y x)) (+ 1 (* 2 (/ 1 x))))>
#<alt (- (+ (* 2 (/ y x)) (/ (* (- 2 y) (- (* 2 y) 2)) (pow x 2))) (+ 1 (* 2 (/ 1 x))))>
#<alt (- (+ (* 2 (/ y x)) (/ (* (pow (- 2 y) 2) (- (* 2 y) 2)) (pow x 3))) (+ 1 (+ (* -1 (/ (* (- 2 y) (- (* 2 y) 2)) (pow x 2))) (* 2 (/ 1 x)))))>
#<alt -1>
#<alt (- (* 2 (/ y x)) (+ 1 (* 2 (/ 1 x))))>
#<alt (- (* -1 (/ (+ (* -1 (- (* 2 y) 2)) (* -1 (/ (* (- 2 y) (- (* 2 y) 2)) x))) x)) 1)>
#<alt (- (* -1 (/ (+ (* -1 (- (* 2 y) 2)) (* -1 (/ (+ (* (- 2 y) (- (* 2 y) 2)) (/ (* (pow (- 2 y) 2) (- (* 2 y) 2)) x)) x))) x)) 1)>
#<alt (/ x (- 2 x))>
#<alt (+ (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x)))>
#<alt (+ (* y (- (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 3))) (/ 1 (pow (- 2 x) 2))))) (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x)))>
#<alt (+ (* y (- (* y (- (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 4))) (/ 1 (pow (- 2 x) 3))))) (+ (* -1 (/ x (pow (- 2 x) 3))) (/ 1 (pow (- 2 x) 2))))) (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x)))>
#<alt 1>
#<alt (- (+ 1 (* -1 (/ x y))) (* -1 (/ (- 2 x) y)))>
#<alt (- (+ 1 (+ (* -1 (/ x y)) (/ (* (- 2 x) (- (* -1 x) (* -1 (- 2 x)))) (pow y 2)))) (* -1 (/ (- 2 x) y)))>
#<alt (- (+ 1 (+ (* -1 (/ x y)) (/ (* (pow (- 2 x) 2) (- (* -1 x) (* -1 (- 2 x)))) (pow y 3)))) (+ (* -1 (/ (* (- 2 x) (- (* -1 x) (* -1 (- 2 x)))) (pow y 2))) (* -1 (/ (- 2 x) y))))>
#<alt 1>
#<alt (+ 1 (* -1 (/ (- (* 2 x) 2) y)))>
#<alt (+ 1 (* -1 (/ (- (+ (* 2 x) (/ (* (- 2 x) (- (* 2 x) 2)) y)) 2) y)))>
#<alt (+ 1 (* -1 (/ (- (+ (* -1 (/ (- (* -1 (/ (* (pow (- 2 x) 2) (- (* 2 x) 2)) y)) (* (- 2 x) (- (* 2 x) 2))) y)) (* 2 x)) 2) y)))>
#<alt (* -1 (/ (- 2 y) y))>
#<alt (+ (* -1 (/ (- 2 y) y)) (* x (- (* 2 (/ 1 y)) (* 2 (/ 1 (pow y 2))))))>
#<alt (+ (* -1 (/ (- 2 y) y)) (* x (- (+ (* 2 (/ 1 y)) (/ (* x (- (* 2 (/ 1 y)) (* 2 (/ 1 (pow y 2))))) y)) (* 2 (/ 1 (pow y 2))))))>
#<alt (+ (* -1 (/ (- 2 y) y)) (* x (- (+ (* 2 (/ 1 y)) (* x (- (/ (* x (- (* 2 (/ 1 y)) (* 2 (/ 1 (pow y 2))))) (pow y 2)) (* -1 (/ (- (* 2 (/ 1 y)) (* 2 (/ 1 (pow y 2)))) y))))) (* 2 (/ 1 (pow y 2))))))>
#<alt -1>
#<alt (- (* 2 (/ 1 x)) (+ 1 (* 2 (/ y x))))>
#<alt (- (+ (* 2 (/ 1 x)) (/ (* y (- 2 (* 2 y))) (pow x 2))) (+ 1 (* 2 (/ y x))))>
#<alt (- (+ (* 2 (/ 1 x)) (/ (* (pow y 2) (- 2 (* 2 y))) (pow x 3))) (+ 1 (+ (* -1 (/ (* y (- 2 (* 2 y))) (pow x 2))) (* 2 (/ y x)))))>
#<alt -1>
#<alt (- (* 2 (/ 1 x)) (+ 1 (* 2 (/ y x))))>
#<alt (- (* -1 (/ (+ (* -1 (- 2 (* 2 y))) (* -1 (/ (* y (- 2 (* 2 y))) x))) x)) 1)>
#<alt (- (* -1 (/ (+ (* -1 (- 2 (* 2 y))) (* -1 (/ (+ (* y (- 2 (* 2 y))) (/ (* (pow y 2) (- 2 (* 2 y))) x)) x))) x)) 1)>
#<alt (/ (- 2 x) x)>
#<alt (- (+ (* -1 (* y (+ (* -1 (/ (- 2 x) (pow x 2))) (/ 1 x)))) (* 2 (/ 1 x))) 1)>
#<alt (- (+ (* y (- (* -1 (* y (+ (* -1 (/ (- 2 x) (pow x 3))) (/ 1 (pow x 2))))) (+ (* -1 (/ (- 2 x) (pow x 2))) (/ 1 x)))) (* 2 (/ 1 x))) 1)>
#<alt (- (+ (* y (- (* y (- (* -1 (* y (+ (* -1 (/ (- 2 x) (pow x 4))) (/ 1 (pow x 3))))) (+ (* -1 (/ (- 2 x) (pow x 3))) (/ 1 (pow x 2))))) (+ (* -1 (/ (- 2 x) (pow x 2))) (/ 1 x)))) (* 2 (/ 1 x))) 1)>
#<alt 1>
#<alt (- (+ 1 (* -1 (/ (- 2 x) y))) (* -1 (/ x y)))>
#<alt (- (+ 1 (+ (* -1 (/ (- 2 x) y)) (/ (* x (- (* -1 (- 2 x)) (* -1 x))) (pow y 2)))) (* -1 (/ x y)))>
#<alt (- (+ 1 (+ (* -1 (/ (- 2 x) y)) (/ (* (pow x 2) (- (* -1 (- 2 x)) (* -1 x))) (pow y 3)))) (+ (* -1 (/ x y)) (* -1 (/ (* x (- (* -1 (- 2 x)) (* -1 x))) (pow y 2)))))>
#<alt 1>
#<alt (+ 1 (* -1 (/ (- 2 (* 2 x)) y)))>
#<alt (+ 1 (* -1 (/ (- (+ 2 (/ (* x (- 2 (* 2 x))) y)) (* 2 x)) y)))>
#<alt (+ 1 (* -1 (/ (- (+ 2 (* -1 (/ (- (* -1 (/ (* (pow x 2) (- 2 (* 2 x))) y)) (* x (- 2 (* 2 x)))) y))) (* 2 x)) y)))>
#<alt (- 2 y)>
#<alt (- (+ 2 (* -1 x)) y)>
#<alt (- (+ 2 (* -1 x)) y)>
#<alt (- (+ 2 (* -1 x)) y)>
#<alt (* -1 x)>
#<alt (* x (- (* 2 (/ 1 x)) (+ 1 (/ y x))))>
#<alt (* x (- (* 2 (/ 1 x)) (+ 1 (/ y x))))>
#<alt (* x (- (* 2 (/ 1 x)) (+ 1 (/ y x))))>
#<alt (* -1 x)>
#<alt (* -1 (* x (+ 1 (* -1 (/ (- 2 y) x)))))>
#<alt (* -1 (* x (+ 1 (* -1 (/ (- 2 y) x)))))>
#<alt (* -1 (* x (+ 1 (* -1 (/ (- 2 y) x)))))>
#<alt (- 2 x)>
#<alt (- (+ 2 (* -1 y)) x)>
#<alt (- (+ 2 (* -1 y)) x)>
#<alt (- (+ 2 (* -1 y)) x)>
#<alt (* -1 y)>
#<alt (* y (- (* 2 (/ 1 y)) (+ 1 (/ x y))))>
#<alt (* y (- (* 2 (/ 1 y)) (+ 1 (/ x y))))>
#<alt (* y (- (* 2 (/ 1 y)) (+ 1 (/ x y))))>
#<alt (* -1 y)>
#<alt (* -1 (* y (+ 1 (* -1 (/ (- 2 x) y)))))>
#<alt (* -1 (* y (+ 1 (* -1 (/ (- 2 x) y)))))>
#<alt (* -1 (* y (+ 1 (* -1 (/ (- 2 x) y)))))>
#<alt y>
#<alt (+ x y)>
#<alt (+ x y)>
#<alt (+ x y)>
#<alt x>
#<alt (* x (+ 1 (/ y x)))>
#<alt (* x (+ 1 (/ y x)))>
#<alt (* x (+ 1 (/ y x)))>
#<alt x>
#<alt (* -1 (* x (- (* -1 (/ y x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ y x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ y x)) 1)))>
#<alt x>
#<alt (+ x y)>
#<alt (+ x y)>
#<alt (+ x y)>
#<alt y>
#<alt (* y (+ 1 (/ x y)))>
#<alt (* y (+ 1 (/ x y)))>
#<alt (* y (+ 1 (/ x y)))>
#<alt y>
#<alt (* -1 (* y (- (* -1 (/ x y)) 1)))>
#<alt (* -1 (* y (- (* -1 (/ x y)) 1)))>
#<alt (* -1 (* y (- (* -1 (/ x y)) 1)))>
#<alt (* 1/2 x)>
#<alt (* x (+ 1/2 (* 1/4 x)))>
#<alt (* x (+ 1/2 (* x (+ 1/4 (* 1/8 x)))))>
#<alt (* x (+ 1/2 (* x (+ 1/4 (* x (+ 1/8 (* 1/16 x)))))))>
#<alt -1>
#<alt (* -1 (+ 1 (* 2 (/ 1 x))))>
#<alt (- (* -1 (/ (+ 2 (* 4 (/ 1 x))) x)) 1)>
#<alt (- (* -1 (/ (+ 4 (* 8 (/ 1 x))) (pow x 2))) (+ 1 (* 2 (/ 1 x))))>
#<alt -1>
#<alt (* -1 (+ 1 (* 2 (/ 1 x))))>
#<alt (- (* -1 (/ (+ 2 (* 4 (/ 1 x))) x)) 1)>
#<alt (- (* -1 (/ (+ 2 (+ (* 4 (/ 1 x)) (/ 8 (pow x 2)))) x)) 1)>
#<alt 2>
#<alt (+ 2 (* -1 x))>
#<alt (+ 2 (* -1 x))>
#<alt (+ 2 (* -1 x))>
#<alt (* -1 x)>
#<alt (* x (- (* 2 (/ 1 x)) 1))>
#<alt (* x (- (* 2 (/ 1 x)) 1))>
#<alt (* x (- (* 2 (/ 1 x)) 1))>
#<alt (* -1 x)>
#<alt (* -1 (* x (- 1 (* 2 (/ 1 x)))))>
#<alt (* -1 (* x (- 1 (* 2 (/ 1 x)))))>
#<alt (* -1 (* x (- 1 (* 2 (/ 1 x)))))>
#<alt (/ y x)>
#<alt (/ (+ y (* -1 x)) x)>
#<alt (/ (+ y (* -1 x)) x)>
#<alt (/ (+ y (* -1 x)) x)>
#<alt -1>
#<alt (- (/ y x) 1)>
#<alt (- (/ y x) 1)>
#<alt (- (/ y x) 1)>
#<alt -1>
#<alt (- (/ y x) 1)>
#<alt (- (/ y x) 1)>
#<alt (- (/ y x) 1)>
#<alt -1>
#<alt (- (/ y x) 1)>
#<alt (- (/ y x) 1)>
#<alt (- (/ y x) 1)>
#<alt (/ y x)>
#<alt (* y (- (/ 1 x) (/ 1 y)))>
#<alt (* y (- (/ 1 x) (/ 1 y)))>
#<alt (* y (- (/ 1 x) (/ 1 y)))>
#<alt (/ y x)>
#<alt (* -1 (* y (- (/ 1 y) (/ 1 x))))>
#<alt (* -1 (* y (- (/ 1 y) (/ 1 x))))>
#<alt (* -1 (* y (- (/ 1 y) (/ 1 x))))>
#<alt (* -1 y)>
#<alt (- x y)>
#<alt (- x y)>
#<alt (- x y)>
#<alt x>
#<alt (* x (+ 1 (* -1 (/ y x))))>
#<alt (* x (+ 1 (* -1 (/ y x))))>
#<alt (* x (+ 1 (* -1 (/ y x))))>
#<alt x>
#<alt (* -1 (* x (- (/ y x) 1)))>
#<alt (* -1 (* x (- (/ y x) 1)))>
#<alt (* -1 (* x (- (/ y x) 1)))>
#<alt x>
#<alt (+ x (* -1 y))>
#<alt (+ x (* -1 y))>
#<alt (+ x (* -1 y))>
#<alt (* -1 y)>
#<alt (* y (- (/ x y) 1))>
#<alt (* y (- (/ x y) 1))>
#<alt (* y (- (/ x y) 1))>
#<alt (* -1 y)>
#<alt (* -1 (* y (+ 1 (* -1 (/ x y)))))>
#<alt (* -1 (* y (+ 1 (* -1 (/ x y)))))>
#<alt (* -1 (* y (+ 1 (* -1 (/ x y)))))>
#<alt (* -1 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 (/ x (- 2 y))>
#<alt (* x (+ (/ 1 (- 2 y)) (/ x (pow (- 2 y) 2))))>
#<alt (* x (+ (* x (+ (/ 1 (pow (- 2 y) 2)) (/ x (pow (- 2 y) 3)))) (/ 1 (- 2 y))))>
#<alt (* x (+ (* x (+ (* x (+ (/ 1 (pow (- 2 y) 3)) (/ x (pow (- 2 y) 4)))) (/ 1 (pow (- 2 y) 2)))) (/ 1 (- 2 y))))>
#<alt -1>
#<alt (- (/ y x) (+ 1 (* 2 (/ 1 x))))>
#<alt (- (+ (/ y x) (/ (* (- 2 y) (- y 2)) (pow x 2))) (+ 1 (* 2 (/ 1 x))))>
#<alt (- (+ (/ y x) (/ (* (pow (- 2 y) 2) (- y 2)) (pow x 3))) (+ 1 (+ (* -1 (/ (* (- 2 y) (- y 2)) (pow x 2))) (* 2 (/ 1 x)))))>
#<alt -1>
#<alt (- (* -1 (/ (- 2 y) x)) 1)>
#<alt (- (* -1 (/ (- (/ (pow (- 2 y) 2) x) (* -1 (- 2 y))) x)) 1)>
#<alt (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow (- 2 y) 3) x)) (pow (- 2 y) 2)) x)) (* -1 (- 2 y))) x)) 1)>
#<alt (/ x (- 2 x))>
#<alt (+ (/ x (- 2 x)) (/ (* x y) (pow (- 2 x) 2)))>
#<alt (+ (* y (- (/ (* x y) (pow (- 2 x) 3)) (* -1 (/ x (pow (- 2 x) 2))))) (/ x (- 2 x)))>
#<alt (+ (* y (- (* y (- (/ (* x y) (pow (- 2 x) 4)) (* -1 (/ x (pow (- 2 x) 3))))) (* -1 (/ x (pow (- 2 x) 2))))) (/ x (- 2 x)))>
#<alt (* -1 (/ x y))>
#<alt (/ (+ (* -1 x) (* -1 (/ (* x (- 2 x)) y))) y)>
#<alt (/ (- (+ (* -1 x) (* -1 (/ (* x (pow (- 2 x) 2)) (pow y 2)))) (/ (* x (- 2 x)) y)) y)>
#<alt (/ (- (+ (* -1 x) (* -1 (/ (* x (pow (- 2 x) 3)) (pow y 3)))) (+ (/ (* x (- 2 x)) y) (/ (* x (pow (- 2 x) 2)) (pow y 2)))) y)>
#<alt (* -1 (/ x y))>
#<alt (* -1 (/ (+ x (/ (* x (- 2 x)) y)) y))>
#<alt (* -1 (/ (+ x (* -1 (/ (- (* -1 (/ (* x (pow (- 2 x) 2)) y)) (* x (- 2 x))) y))) y))>
#<alt (* -1 (/ (+ x (* -1 (/ (- (* -1 (/ (- (/ (* x (pow (- 2 x) 3)) y) (* -1 (* x (pow (- 2 x) 2)))) y)) (* x (- 2 x))) y))) y))>
Calls

51 calls:

TimeVariablePointExpression
1.0ms
y
@inf
(/ (- x y) (neg x))
1.0ms
y
@0
(/ (- 2 (+ x y)) (- x y))
0.0ms
x
@0
(/ (- 2 (+ x y)) (- x y))
0.0ms
x
@inf
(/ x (- 2 (+ x y)))
0.0ms
y
@inf
(/ (- 2 (+ x y)) (- x y))

rewrite387.0ms (4.4%)

Memory
4.6MiB live, 642.8MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
5 496×accelerator-lowering-fma.f32
5 496×accelerator-lowering-fma.f64
4 442×*-lowering-*.f32
4 442×*-lowering-*.f64
4 044×/-lowering-/.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01454
110552
290751
0858651
Stop Event
1×iter limit
1×node limit
Counts
10 → 1 008
Calls
Call 1
Inputs
(/ 1 (/ (- 2 (+ x y)) (- x y)))
(/ (- 2 (+ x y)) (- x y))
(- 2 (+ x y))
(+ x y)
(/ x (- 2 x))
(- 2 x)
(/ (- x y) (neg x))
(- x y)
(neg x)
(/ x (- 2 (+ x y)))
Outputs
(+.f64 (/.f64 x (-.f64 #s(literal 2 binary64) (+.f64 x y))) (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (+.f64 x y))) y)))
(+.f64 (/.f64 x (-.f64 #s(literal 2 binary64) (+.f64 x y))) (neg.f64 (/.f64 y (-.f64 #s(literal 2 binary64) (+.f64 x y)))))
(+.f64 (/.f64 x (-.f64 #s(literal 2 binary64) (+.f64 x y))) (*.f64 #s(literal 1 binary64) (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (+.f64 x y))) y))))
(+.f64 (/.f64 x (-.f64 #s(literal 2 binary64) (+.f64 x y))) (*.f64 #s(literal 1 binary64) (neg.f64 (/.f64 y (-.f64 #s(literal 2 binary64) (+.f64 x y))))))
(+.f64 (/.f64 x (-.f64 #s(literal 2 binary64) (+.f64 x y))) (*.f64 y (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 x y) #s(literal -2 binary64)))))
(+.f64 (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (+.f64 x y))) y)) (/.f64 x (-.f64 #s(literal 2 binary64) (+.f64 x y))))
(+.f64 (neg.f64 (/.f64 y (-.f64 #s(literal 2 binary64) (+.f64 x y)))) (/.f64 x (-.f64 #s(literal 2 binary64) (+.f64 x y))))
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 x y) #s(literal -2 binary64))) (neg.f64 x)) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 x y) #s(literal -2 binary64))) y))
(+.f64 (*.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 8 binary64) (*.f64 (+.f64 x y) (*.f64 (+.f64 x y) (+.f64 x y))))) #s(literal 4 binary64)) (*.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 8 binary64) (*.f64 (+.f64 x y) (*.f64 (+.f64 x y) (+.f64 x y))))) (*.f64 (+.f64 x y) (+.f64 #s(literal 2 binary64) (+.f64 x y)))))
(+.f64 (*.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 8 binary64) (*.f64 (+.f64 x y) (*.f64 (+.f64 x y) (+.f64 x y))))) (*.f64 (+.f64 x y) (+.f64 #s(literal 2 binary64) (+.f64 x y)))) (*.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 8 binary64) (*.f64 (+.f64 x y) (*.f64 (+.f64 x y) (+.f64 x y))))) #s(literal 4 binary64)))
(+.f64 (*.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 8 binary64) (*.f64 (+.f64 x y) (*.f64 (+.f64 x y) (+.f64 x y))))) (+.f64 #s(literal 4 binary64) (*.f64 (+.f64 x y) (+.f64 x y)))) (*.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 8 binary64) (*.f64 (+.f64 x y) (*.f64 (+.f64 x y) (+.f64 x y))))) (*.f64 #s(literal 2 binary64) (+.f64 x y))))
(+.f64 (*.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 4 binary64) (*.f64 (+.f64 x y) (+.f64 x y)))) #s(literal 2 binary64)) (*.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 4 binary64) (*.f64 (+.f64 x y) (+.f64 x y)))) (+.f64 x y)))
(+.f64 (*.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 4 binary64) (*.f64 (+.f64 x y) (+.f64 x y)))) (+.f64 x y)) (*.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 4 binary64) (*.f64 (+.f64 x y) (+.f64 x y)))) #s(literal 2 binary64)))
(+.f64 (*.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 4 binary64) (*.f64 (+.f64 x y) (+.f64 x y)))) (+.f64 #s(literal 2 binary64) x)) (*.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 4 binary64) (*.f64 (+.f64 x y) (+.f64 x y)))) y))
(+.f64 (*.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 4 binary64) (*.f64 (+.f64 x y) (+.f64 x y)))) (+.f64 #s(literal 2 binary64) y)) (*.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 4 binary64) (*.f64 (+.f64 x y) (+.f64 x y)))) x))
(+.f64 (*.f64 (/.f64 x (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal 1 binary64)) (*.f64 (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (+.f64 x y))) y)) #s(literal 1 binary64)))
(+.f64 (*.f64 (/.f64 x (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal 1 binary64)) (*.f64 (neg.f64 (/.f64 y (-.f64 #s(literal 2 binary64) (+.f64 x y)))) #s(literal 1 binary64)))
(+.f64 (*.f64 #s(literal 4 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 8 binary64) (*.f64 (+.f64 x y) (*.f64 (+.f64 x y) (+.f64 x y)))))) (*.f64 (*.f64 (+.f64 x y) (+.f64 #s(literal 2 binary64) (+.f64 x y))) (/.f64 (-.f64 x y) (-.f64 #s(literal 8 binary64) (*.f64 (+.f64 x y) (*.f64 (+.f64 x y) (+.f64 x y)))))))
(+.f64 (*.f64 (*.f64 (+.f64 x y) (+.f64 #s(literal 2 binary64) (+.f64 x y))) (/.f64 (-.f64 x y) (-.f64 #s(literal 8 binary64) (*.f64 (+.f64 x y) (*.f64 (+.f64 x y) (+.f64 x y)))))) (*.f64 #s(literal 4 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 8 binary64) (*.f64 (+.f64 x y) (*.f64 (+.f64 x y) (+.f64 x y)))))))
(+.f64 (*.f64 (+.f64 #s(literal 4 binary64) (*.f64 (+.f64 x y) (+.f64 x y))) (/.f64 (-.f64 x y) (-.f64 #s(literal 8 binary64) (*.f64 (+.f64 x y) (*.f64 (+.f64 x y) (+.f64 x y)))))) (*.f64 (*.f64 #s(literal 2 binary64) (+.f64 x y)) (/.f64 (-.f64 x y) (-.f64 #s(literal 8 binary64) (*.f64 (+.f64 x y) (*.f64 (+.f64 x y) (+.f64 x y)))))))
(+.f64 (*.f64 #s(literal 2 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 4 binary64) (*.f64 (+.f64 x y) (+.f64 x y))))) (*.f64 (+.f64 x y) (/.f64 (-.f64 x y) (-.f64 #s(literal 4 binary64) (*.f64 (+.f64 x y) (+.f64 x y))))))
(+.f64 (*.f64 (+.f64 x y) (/.f64 (-.f64 x y) (-.f64 #s(literal 4 binary64) (*.f64 (+.f64 x y) (+.f64 x y))))) (*.f64 #s(literal 2 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 4 binary64) (*.f64 (+.f64 x y) (+.f64 x y))))))
(+.f64 (*.f64 (+.f64 #s(literal 2 binary64) x) (/.f64 (-.f64 x y) (-.f64 #s(literal 4 binary64) (*.f64 (+.f64 x y) (+.f64 x y))))) (*.f64 y (/.f64 (-.f64 x y) (-.f64 #s(literal 4 binary64) (*.f64 (+.f64 x y) (+.f64 x y))))))
(+.f64 (*.f64 (+.f64 #s(literal 2 binary64) y) (/.f64 (-.f64 x y) (-.f64 #s(literal 4 binary64) (*.f64 (+.f64 x y) (+.f64 x y))))) (*.f64 x (/.f64 (-.f64 x y) (-.f64 #s(literal 4 binary64) (*.f64 (+.f64 x y) (+.f64 x y))))))
(exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 #s(literal 2 binary64) (+.f64 x y)) (-.f64 x y))) #s(literal -1 binary64)))
(-.f64 (/.f64 x (-.f64 #s(literal 2 binary64) (+.f64 x y))) (/.f64 y (-.f64 #s(literal 2 binary64) (+.f64 x y))))
(-.f64 #s(literal 0 binary64) (/.f64 (-.f64 x y) (+.f64 (+.f64 x y) #s(literal -2 binary64))))
(-.f64 #s(literal 0 binary64) (-.f64 (/.f64 x (+.f64 (+.f64 x y) #s(literal -2 binary64))) (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (+.f64 x y))) y))))
(-.f64 #s(literal 0 binary64) (-.f64 (/.f64 x (+.f64 (+.f64 x y) #s(literal -2 binary64))) (neg.f64 (/.f64 y (-.f64 #s(literal 2 binary64) (+.f64 x y))))))
(-.f64 #s(literal 0 binary64) (+.f64 (/.f64 x (+.f64 (+.f64 x y) #s(literal -2 binary64))) (/.f64 y (-.f64 #s(literal 2 binary64) (+.f64 x y)))))
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(fma.f64 (/.f64 x (-.f64 #s(literal 8 binary64) (*.f64 (+.f64 x y) (*.f64 (+.f64 x y) (+.f64 x y))))) (*.f64 (+.f64 x y) (+.f64 #s(literal 2 binary64) (+.f64 x y))) (*.f64 (/.f64 x (-.f64 #s(literal 8 binary64) (*.f64 (+.f64 x y) (*.f64 (+.f64 x y) (+.f64 x y))))) #s(literal 4 binary64)))
(fma.f64 (/.f64 x (-.f64 #s(literal 8 binary64) (*.f64 (+.f64 x y) (*.f64 (+.f64 x y) (+.f64 x y))))) (+.f64 #s(literal 4 binary64) (*.f64 (+.f64 x y) (+.f64 x y))) (*.f64 (/.f64 x (-.f64 #s(literal 8 binary64) (*.f64 (+.f64 x y) (*.f64 (+.f64 x y) (+.f64 x y))))) (*.f64 #s(literal 2 binary64) (+.f64 x y))))
(fma.f64 (/.f64 x (-.f64 #s(literal 4 binary64) (*.f64 (+.f64 x y) (+.f64 x y)))) #s(literal 2 binary64) (*.f64 (/.f64 x (-.f64 #s(literal 4 binary64) (*.f64 (+.f64 x y) (+.f64 x y)))) (+.f64 x y)))
(fma.f64 (/.f64 x (-.f64 #s(literal 4 binary64) (*.f64 (+.f64 x y) (+.f64 x y)))) (+.f64 x y) (*.f64 (/.f64 x (-.f64 #s(literal 4 binary64) (*.f64 (+.f64 x y) (+.f64 x y)))) #s(literal 2 binary64)))
(fma.f64 (/.f64 x (-.f64 #s(literal 4 binary64) (*.f64 (+.f64 x y) (+.f64 x y)))) (+.f64 #s(literal 2 binary64) x) (*.f64 (/.f64 x (-.f64 #s(literal 4 binary64) (*.f64 (+.f64 x y) (+.f64 x y)))) y))
(fma.f64 (/.f64 x (-.f64 #s(literal 4 binary64) (*.f64 (+.f64 x y) (+.f64 x y)))) (+.f64 #s(literal 2 binary64) y) (*.f64 (/.f64 x (-.f64 #s(literal 4 binary64) (*.f64 (+.f64 x y) (+.f64 x y)))) x))
(neg.f64 (/.f64 x (+.f64 (+.f64 x y) #s(literal -2 binary64))))
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (+.f64 x y))) (neg.f64 x)))
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 2 binary64) (+.f64 x y)) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 2 binary64) (+.f64 x y)) x))
(/.f64 x (-.f64 #s(literal 2 binary64) (+.f64 x y)))
(/.f64 (neg.f64 x) (+.f64 (+.f64 x y) #s(literal -2 binary64)))
(/.f64 #s(literal -1 binary64) (/.f64 (+.f64 (+.f64 x y) #s(literal -2 binary64)) x))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (+.f64 (+.f64 x y) #s(literal -2 binary64))) (*.f64 (+.f64 (+.f64 x y) #s(literal -2 binary64)) x)) (*.f64 (+.f64 (+.f64 x y) #s(literal -2 binary64)) (+.f64 (+.f64 x y) #s(literal -2 binary64))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 x (+.f64 (+.f64 x y) #s(literal -2 binary64))) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (/.f64 x (+.f64 (+.f64 x y) #s(literal -2 binary64))) (/.f64 x (+.f64 (+.f64 x y) #s(literal -2 binary64))) (*.f64 #s(literal 0 binary64) (/.f64 x (+.f64 (+.f64 x y) #s(literal -2 binary64)))))))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 x (+.f64 (+.f64 x y) #s(literal -2 binary64))) (/.f64 x (+.f64 (+.f64 x y) #s(literal -2 binary64))))) (+.f64 #s(literal 0 binary64) (/.f64 x (+.f64 (+.f64 x y) #s(literal -2 binary64)))))
(pow.f64 (/.f64 (-.f64 #s(literal 2 binary64) (+.f64 x y)) x) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 x (-.f64 #s(literal 2 binary64) (+.f64 x y))))
(*.f64 x (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (+.f64 x y))))
(*.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 x y) #s(literal -2 binary64))))
(*.f64 #s(literal -1 binary64) (/.f64 x (+.f64 (+.f64 x y) #s(literal -2 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (+.f64 x y))) x)
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (+.f64 x y))) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))
(*.f64 (/.f64 x (-.f64 #s(literal 8 binary64) (*.f64 (+.f64 x y) (*.f64 (+.f64 x y) (+.f64 x y))))) (fma.f64 (+.f64 x y) (+.f64 #s(literal 2 binary64) (+.f64 x y)) #s(literal 4 binary64)))
(*.f64 (/.f64 x (-.f64 #s(literal 8 binary64) (*.f64 (+.f64 x y) (*.f64 (+.f64 x y) (+.f64 x y))))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 x y) (+.f64 #s(literal 2 binary64) (+.f64 x y)) #s(literal 4 binary64)))))
(*.f64 (/.f64 x (-.f64 #s(literal 4 binary64) (*.f64 (+.f64 x y) (+.f64 x y)))) (+.f64 #s(literal 2 binary64) (+.f64 x y)))
(*.f64 (/.f64 x (-.f64 #s(literal 4 binary64) (*.f64 (+.f64 x y) (+.f64 x y)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (+.f64 x y)))))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 8 binary64) (*.f64 (+.f64 x y) (*.f64 (+.f64 x y) (+.f64 x y))))) (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 x y) (+.f64 #s(literal 2 binary64) (+.f64 x y)) #s(literal 4 binary64)))))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 4 binary64) (*.f64 (+.f64 x y) (+.f64 x y)))) (/.f64 x (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (+.f64 x y)))))
(*.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 8 binary64) (*.f64 (+.f64 x y) (*.f64 (+.f64 x y) (+.f64 x y))))) (/.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 x y) (+.f64 #s(literal 2 binary64) (+.f64 x y)) #s(literal 4 binary64)))))
(*.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 4 binary64) (*.f64 (+.f64 x y) (+.f64 x y)))) (/.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (+.f64 x y)))))
(*.f64 (pow.f64 (/.f64 (-.f64 #s(literal 2 binary64) (+.f64 x y)) x) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (-.f64 #s(literal 2 binary64) (+.f64 x y)) x) #s(literal -1/2 binary64)))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal -1 binary64)) (neg.f64 x))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal 1 binary64)) x)
(*.f64 (*.f64 #s(literal 1 binary64) (/.f64 x (-.f64 #s(literal 8 binary64) (*.f64 (+.f64 x y) (*.f64 (+.f64 x y) (+.f64 x y)))))) (fma.f64 (+.f64 x y) (+.f64 #s(literal 2 binary64) (+.f64 x y)) #s(literal 4 binary64)))
(*.f64 (*.f64 #s(literal 1 binary64) (/.f64 x (-.f64 #s(literal 4 binary64) (*.f64 (+.f64 x y) (+.f64 x y))))) (+.f64 #s(literal 2 binary64) (+.f64 x y)))

simplify550.0ms (6.2%)

Memory
-119.1MiB live, 640.3MiB allocated
Algorithm
1×egg-herbie
Rules
7 382×accelerator-lowering-fma.f32
7 382×accelerator-lowering-fma.f64
4 428×*-lowering-*.f32
4 428×*-lowering-*.f64
2 844×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04552243
114522091
245301967
084831859
Stop Event
1×iter limit
1×node limit
Counts
204 → 204
Calls
Call 1
Inputs
(* -1 (/ y (- 2 y)))
(+ (* -1 (/ y (- 2 y))) (* x (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2)))))
(+ (* -1 (/ y (- 2 y))) (* x (- (+ (/ 1 (- 2 y)) (/ (* x (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2)))) (- 2 y))) (/ y (pow (- 2 y) 2)))))
(+ (* -1 (/ y (- 2 y))) (* x (- (+ (* x (- (/ (* x (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2)))) (pow (- 2 y) 2)) (* -1 (/ (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2))) (- 2 y))))) (/ 1 (- 2 y))) (/ y (pow (- 2 y) 2)))))
-1
(- (* 2 (/ y x)) (+ 1 (* 2 (/ 1 x))))
(- (+ (* 2 (/ y x)) (/ (* (- 2 y) (- (* 2 y) 2)) (pow x 2))) (+ 1 (* 2 (/ 1 x))))
(- (+ (* 2 (/ y x)) (/ (* (pow (- 2 y) 2) (- (* 2 y) 2)) (pow x 3))) (+ 1 (+ (* -1 (/ (* (- 2 y) (- (* 2 y) 2)) (pow x 2))) (* 2 (/ 1 x)))))
-1
(- (* 2 (/ y x)) (+ 1 (* 2 (/ 1 x))))
(- (* -1 (/ (+ (* -1 (- (* 2 y) 2)) (* -1 (/ (* (- 2 y) (- (* 2 y) 2)) x))) x)) 1)
(- (* -1 (/ (+ (* -1 (- (* 2 y) 2)) (* -1 (/ (+ (* (- 2 y) (- (* 2 y) 2)) (/ (* (pow (- 2 y) 2) (- (* 2 y) 2)) x)) x))) x)) 1)
(/ x (- 2 x))
(+ (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x)))
(+ (* y (- (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 3))) (/ 1 (pow (- 2 x) 2))))) (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x)))
(+ (* y (- (* y (- (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 4))) (/ 1 (pow (- 2 x) 3))))) (+ (* -1 (/ x (pow (- 2 x) 3))) (/ 1 (pow (- 2 x) 2))))) (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x)))
1
(- (+ 1 (* -1 (/ x y))) (* -1 (/ (- 2 x) y)))
(- (+ 1 (+ (* -1 (/ x y)) (/ (* (- 2 x) (- (* -1 x) (* -1 (- 2 x)))) (pow y 2)))) (* -1 (/ (- 2 x) y)))
(- (+ 1 (+ (* -1 (/ x y)) (/ (* (pow (- 2 x) 2) (- (* -1 x) (* -1 (- 2 x)))) (pow y 3)))) (+ (* -1 (/ (* (- 2 x) (- (* -1 x) (* -1 (- 2 x)))) (pow y 2))) (* -1 (/ (- 2 x) y))))
1
(+ 1 (* -1 (/ (- (* 2 x) 2) y)))
(+ 1 (* -1 (/ (- (+ (* 2 x) (/ (* (- 2 x) (- (* 2 x) 2)) y)) 2) y)))
(+ 1 (* -1 (/ (- (+ (* -1 (/ (- (* -1 (/ (* (pow (- 2 x) 2) (- (* 2 x) 2)) y)) (* (- 2 x) (- (* 2 x) 2))) y)) (* 2 x)) 2) y)))
(* -1 (/ (- 2 y) y))
(+ (* -1 (/ (- 2 y) y)) (* x (- (* 2 (/ 1 y)) (* 2 (/ 1 (pow y 2))))))
(+ (* -1 (/ (- 2 y) y)) (* x (- (+ (* 2 (/ 1 y)) (/ (* x (- (* 2 (/ 1 y)) (* 2 (/ 1 (pow y 2))))) y)) (* 2 (/ 1 (pow y 2))))))
(+ (* -1 (/ (- 2 y) y)) (* x (- (+ (* 2 (/ 1 y)) (* x (- (/ (* x (- (* 2 (/ 1 y)) (* 2 (/ 1 (pow y 2))))) (pow y 2)) (* -1 (/ (- (* 2 (/ 1 y)) (* 2 (/ 1 (pow y 2)))) y))))) (* 2 (/ 1 (pow y 2))))))
-1
(- (* 2 (/ 1 x)) (+ 1 (* 2 (/ y x))))
(- (+ (* 2 (/ 1 x)) (/ (* y (- 2 (* 2 y))) (pow x 2))) (+ 1 (* 2 (/ y x))))
(- (+ (* 2 (/ 1 x)) (/ (* (pow y 2) (- 2 (* 2 y))) (pow x 3))) (+ 1 (+ (* -1 (/ (* y (- 2 (* 2 y))) (pow x 2))) (* 2 (/ y x)))))
-1
(- (* 2 (/ 1 x)) (+ 1 (* 2 (/ y x))))
(- (* -1 (/ (+ (* -1 (- 2 (* 2 y))) (* -1 (/ (* y (- 2 (* 2 y))) x))) x)) 1)
(- (* -1 (/ (+ (* -1 (- 2 (* 2 y))) (* -1 (/ (+ (* y (- 2 (* 2 y))) (/ (* (pow y 2) (- 2 (* 2 y))) x)) x))) x)) 1)
(/ (- 2 x) x)
(- (+ (* -1 (* y (+ (* -1 (/ (- 2 x) (pow x 2))) (/ 1 x)))) (* 2 (/ 1 x))) 1)
(- (+ (* y (- (* -1 (* y (+ (* -1 (/ (- 2 x) (pow x 3))) (/ 1 (pow x 2))))) (+ (* -1 (/ (- 2 x) (pow x 2))) (/ 1 x)))) (* 2 (/ 1 x))) 1)
(- (+ (* y (- (* y (- (* -1 (* y (+ (* -1 (/ (- 2 x) (pow x 4))) (/ 1 (pow x 3))))) (+ (* -1 (/ (- 2 x) (pow x 3))) (/ 1 (pow x 2))))) (+ (* -1 (/ (- 2 x) (pow x 2))) (/ 1 x)))) (* 2 (/ 1 x))) 1)
1
(- (+ 1 (* -1 (/ (- 2 x) y))) (* -1 (/ x y)))
(- (+ 1 (+ (* -1 (/ (- 2 x) y)) (/ (* x (- (* -1 (- 2 x)) (* -1 x))) (pow y 2)))) (* -1 (/ x y)))
(- (+ 1 (+ (* -1 (/ (- 2 x) y)) (/ (* (pow x 2) (- (* -1 (- 2 x)) (* -1 x))) (pow y 3)))) (+ (* -1 (/ x y)) (* -1 (/ (* x (- (* -1 (- 2 x)) (* -1 x))) (pow y 2)))))
1
(+ 1 (* -1 (/ (- 2 (* 2 x)) y)))
(+ 1 (* -1 (/ (- (+ 2 (/ (* x (- 2 (* 2 x))) y)) (* 2 x)) y)))
(+ 1 (* -1 (/ (- (+ 2 (* -1 (/ (- (* -1 (/ (* (pow x 2) (- 2 (* 2 x))) y)) (* x (- 2 (* 2 x)))) y))) (* 2 x)) y)))
(- 2 y)
(- (+ 2 (* -1 x)) y)
(- (+ 2 (* -1 x)) y)
(- (+ 2 (* -1 x)) y)
(* -1 x)
(* x (- (* 2 (/ 1 x)) (+ 1 (/ y x))))
(* x (- (* 2 (/ 1 x)) (+ 1 (/ y x))))
(* x (- (* 2 (/ 1 x)) (+ 1 (/ y x))))
(* -1 x)
(* -1 (* x (+ 1 (* -1 (/ (- 2 y) x)))))
(* -1 (* x (+ 1 (* -1 (/ (- 2 y) x)))))
(* -1 (* x (+ 1 (* -1 (/ (- 2 y) x)))))
(- 2 x)
(- (+ 2 (* -1 y)) x)
(- (+ 2 (* -1 y)) x)
(- (+ 2 (* -1 y)) x)
(* -1 y)
(* y (- (* 2 (/ 1 y)) (+ 1 (/ x y))))
(* y (- (* 2 (/ 1 y)) (+ 1 (/ x y))))
(* y (- (* 2 (/ 1 y)) (+ 1 (/ x y))))
(* -1 y)
(* -1 (* y (+ 1 (* -1 (/ (- 2 x) y)))))
(* -1 (* y (+ 1 (* -1 (/ (- 2 x) y)))))
(* -1 (* y (+ 1 (* -1 (/ (- 2 x) y)))))
y
(+ x y)
(+ x y)
(+ x y)
x
(* x (+ 1 (/ y x)))
(* x (+ 1 (/ y x)))
(* x (+ 1 (/ y x)))
x
(* -1 (* x (- (* -1 (/ y x)) 1)))
(* -1 (* x (- (* -1 (/ y x)) 1)))
(* -1 (* x (- (* -1 (/ y x)) 1)))
x
(+ x y)
(+ x y)
(+ x y)
y
(* y (+ 1 (/ x y)))
(* y (+ 1 (/ x y)))
(* y (+ 1 (/ x y)))
y
(* -1 (* y (- (* -1 (/ x y)) 1)))
(* -1 (* y (- (* -1 (/ x y)) 1)))
(* -1 (* y (- (* -1 (/ x y)) 1)))
(* 1/2 x)
(* x (+ 1/2 (* 1/4 x)))
(* x (+ 1/2 (* x (+ 1/4 (* 1/8 x)))))
(* x (+ 1/2 (* x (+ 1/4 (* x (+ 1/8 (* 1/16 x)))))))
-1
(* -1 (+ 1 (* 2 (/ 1 x))))
(- (* -1 (/ (+ 2 (* 4 (/ 1 x))) x)) 1)
(- (* -1 (/ (+ 4 (* 8 (/ 1 x))) (pow x 2))) (+ 1 (* 2 (/ 1 x))))
-1
(* -1 (+ 1 (* 2 (/ 1 x))))
(- (* -1 (/ (+ 2 (* 4 (/ 1 x))) x)) 1)
(- (* -1 (/ (+ 2 (+ (* 4 (/ 1 x)) (/ 8 (pow x 2)))) x)) 1)
2
(+ 2 (* -1 x))
(+ 2 (* -1 x))
(+ 2 (* -1 x))
(* -1 x)
(* x (- (* 2 (/ 1 x)) 1))
(* x (- (* 2 (/ 1 x)) 1))
(* x (- (* 2 (/ 1 x)) 1))
(* -1 x)
(* -1 (* x (- 1 (* 2 (/ 1 x)))))
(* -1 (* x (- 1 (* 2 (/ 1 x)))))
(* -1 (* x (- 1 (* 2 (/ 1 x)))))
(/ y x)
(/ (+ y (* -1 x)) x)
(/ (+ y (* -1 x)) x)
(/ (+ y (* -1 x)) x)
-1
(- (/ y x) 1)
(- (/ y x) 1)
(- (/ y x) 1)
-1
(- (/ y x) 1)
(- (/ y x) 1)
(- (/ y x) 1)
-1
(- (/ y x) 1)
(- (/ y x) 1)
(- (/ y x) 1)
(/ y x)
(* y (- (/ 1 x) (/ 1 y)))
(* y (- (/ 1 x) (/ 1 y)))
(* y (- (/ 1 x) (/ 1 y)))
(/ y x)
(* -1 (* y (- (/ 1 y) (/ 1 x))))
(* -1 (* y (- (/ 1 y) (/ 1 x))))
(* -1 (* y (- (/ 1 y) (/ 1 x))))
(* -1 y)
(- x y)
(- x y)
(- x y)
x
(* x (+ 1 (* -1 (/ y x))))
(* x (+ 1 (* -1 (/ y x))))
(* x (+ 1 (* -1 (/ y x))))
x
(* -1 (* x (- (/ y x) 1)))
(* -1 (* x (- (/ y x) 1)))
(* -1 (* x (- (/ y x) 1)))
x
(+ x (* -1 y))
(+ x (* -1 y))
(+ x (* -1 y))
(* -1 y)
(* y (- (/ x y) 1))
(* y (- (/ x y) 1))
(* y (- (/ x y) 1))
(* -1 y)
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(/ x (- 2 y))
(* x (+ (/ 1 (- 2 y)) (/ x (pow (- 2 y) 2))))
(* x (+ (* x (+ (/ 1 (pow (- 2 y) 2)) (/ x (pow (- 2 y) 3)))) (/ 1 (- 2 y))))
(* x (+ (* x (+ (* x (+ (/ 1 (pow (- 2 y) 3)) (/ x (pow (- 2 y) 4)))) (/ 1 (pow (- 2 y) 2)))) (/ 1 (- 2 y))))
-1
(- (/ y x) (+ 1 (* 2 (/ 1 x))))
(- (+ (/ y x) (/ (* (- 2 y) (- y 2)) (pow x 2))) (+ 1 (* 2 (/ 1 x))))
(- (+ (/ y x) (/ (* (pow (- 2 y) 2) (- y 2)) (pow x 3))) (+ 1 (+ (* -1 (/ (* (- 2 y) (- y 2)) (pow x 2))) (* 2 (/ 1 x)))))
-1
(- (* -1 (/ (- 2 y) x)) 1)
(- (* -1 (/ (- (/ (pow (- 2 y) 2) x) (* -1 (- 2 y))) x)) 1)
(- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow (- 2 y) 3) x)) (pow (- 2 y) 2)) x)) (* -1 (- 2 y))) x)) 1)
(/ x (- 2 x))
(+ (/ x (- 2 x)) (/ (* x y) (pow (- 2 x) 2)))
(+ (* y (- (/ (* x y) (pow (- 2 x) 3)) (* -1 (/ x (pow (- 2 x) 2))))) (/ x (- 2 x)))
(+ (* y (- (* y (- (/ (* x y) (pow (- 2 x) 4)) (* -1 (/ x (pow (- 2 x) 3))))) (* -1 (/ x (pow (- 2 x) 2))))) (/ x (- 2 x)))
(* -1 (/ x y))
(/ (+ (* -1 x) (* -1 (/ (* x (- 2 x)) y))) y)
(/ (- (+ (* -1 x) (* -1 (/ (* x (pow (- 2 x) 2)) (pow y 2)))) (/ (* x (- 2 x)) y)) y)
(/ (- (+ (* -1 x) (* -1 (/ (* x (pow (- 2 x) 3)) (pow y 3)))) (+ (/ (* x (- 2 x)) y) (/ (* x (pow (- 2 x) 2)) (pow y 2)))) y)
(* -1 (/ x y))
(* -1 (/ (+ x (/ (* x (- 2 x)) y)) y))
(* -1 (/ (+ x (* -1 (/ (- (* -1 (/ (* x (pow (- 2 x) 2)) y)) (* x (- 2 x))) y))) y))
(* -1 (/ (+ x (* -1 (/ (- (* -1 (/ (- (/ (* x (pow (- 2 x) 3)) y) (* -1 (* x (pow (- 2 x) 2)))) y)) (* x (- 2 x))) y))) y))
Outputs
(* -1 (/ y (- 2 y)))
(/.f64 y (+.f64 y #s(literal -2 binary64)))
(+ (* -1 (/ y (- 2 y))) (* x (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2)))))
(fma.f64 x (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) y)) (/.f64 y (*.f64 (-.f64 #s(literal 2 binary64) y) (-.f64 #s(literal 2 binary64) y)))) (/.f64 y (+.f64 y #s(literal -2 binary64))))
(+ (* -1 (/ y (- 2 y))) (* x (- (+ (/ 1 (- 2 y)) (/ (* x (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2)))) (- 2 y))) (/ y (pow (- 2 y) 2)))))
(fma.f64 x (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) y)) (/.f64 y (*.f64 (-.f64 #s(literal 2 binary64) y) (-.f64 #s(literal 2 binary64) y)))) (/.f64 x (-.f64 #s(literal 2 binary64) y)) (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) y)) (/.f64 y (*.f64 (-.f64 #s(literal 2 binary64) y) (-.f64 #s(literal 2 binary64) y))))) (/.f64 y (+.f64 y #s(literal -2 binary64))))
(+ (* -1 (/ y (- 2 y))) (* x (- (+ (* x (- (/ (* x (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2)))) (pow (- 2 y) 2)) (* -1 (/ (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2))) (- 2 y))))) (/ 1 (- 2 y))) (/ y (pow (- 2 y) 2)))))
(fma.f64 x (+.f64 (fma.f64 x (*.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) y)) (/.f64 y (*.f64 (-.f64 #s(literal 2 binary64) y) (-.f64 #s(literal 2 binary64) y)))) (-.f64 #s(literal 2 binary64) y)) (+.f64 (/.f64 x (-.f64 #s(literal 2 binary64) y)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) y))) (/.f64 y (*.f64 (-.f64 #s(literal 2 binary64) y) (+.f64 y #s(literal -2 binary64))))) (/.f64 y (+.f64 y #s(literal -2 binary64))))
-1
#s(literal -1 binary64)
(- (* 2 (/ y x)) (+ 1 (* 2 (/ 1 x))))
(+.f64 (/.f64 (fma.f64 y #s(literal 2 binary64) #s(literal -2 binary64)) x) #s(literal -1 binary64))
(- (+ (* 2 (/ y x)) (/ (* (- 2 y) (- (* 2 y) 2)) (pow x 2))) (+ 1 (* 2 (/ 1 x))))
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(- (+ (* 2 (/ y x)) (/ (* (pow (- 2 y) 2) (- (* 2 y) 2)) (pow x 3))) (+ 1 (+ (* -1 (/ (* (- 2 y) (- (* 2 y) 2)) (pow x 2))) (* 2 (/ 1 x)))))
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(+.f64 #s(literal -1 binary64) (/.f64 y x))
(* -1 (* y (- (/ 1 y) (/ 1 x))))
(+.f64 #s(literal -1 binary64) (/.f64 y x))
(* -1 y)
(neg.f64 y)
(- x y)
(-.f64 x y)
(- x y)
(-.f64 x y)
(- x y)
(-.f64 x y)
x
(* x (+ 1 (* -1 (/ y x))))
(-.f64 x (/.f64 (*.f64 y x) x))
(* x (+ 1 (* -1 (/ y x))))
(-.f64 x (/.f64 (*.f64 y x) x))
(* x (+ 1 (* -1 (/ y x))))
(-.f64 x (/.f64 (*.f64 y x) x))
x
(* -1 (* x (- (/ y x) 1)))
(-.f64 x (/.f64 (*.f64 y x) x))
(* -1 (* x (- (/ y x) 1)))
(-.f64 x (/.f64 (*.f64 y x) x))
(* -1 (* x (- (/ y x) 1)))
(-.f64 x (/.f64 (*.f64 y x) x))
x
(+ x (* -1 y))
(-.f64 x y)
(+ x (* -1 y))
(-.f64 x y)
(+ x (* -1 y))
(-.f64 x y)
(* -1 y)
(neg.f64 y)
(* y (- (/ x y) 1))
(-.f64 (/.f64 (*.f64 y x) y) y)
(* y (- (/ x y) 1))
(-.f64 (/.f64 (*.f64 y x) y) y)
(* y (- (/ x y) 1))
(-.f64 (/.f64 (*.f64 y x) y) y)
(* -1 y)
(neg.f64 y)
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(-.f64 (/.f64 (*.f64 y x) y) y)
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(-.f64 (/.f64 (*.f64 y x) y) y)
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(-.f64 (/.f64 (*.f64 y x) y) 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)
(/ x (- 2 y))
(/.f64 x (-.f64 #s(literal 2 binary64) y))
(* x (+ (/ 1 (- 2 y)) (/ x (pow (- 2 y) 2))))
(fma.f64 x (/.f64 x (*.f64 (-.f64 #s(literal 2 binary64) y) (-.f64 #s(literal 2 binary64) y))) (/.f64 x (-.f64 #s(literal 2 binary64) y)))
(* x (+ (* x (+ (/ 1 (pow (- 2 y) 2)) (/ x (pow (- 2 y) 3)))) (/ 1 (- 2 y))))
(fma.f64 x (fma.f64 x (/.f64 x (*.f64 (-.f64 #s(literal 2 binary64) y) (*.f64 (-.f64 #s(literal 2 binary64) y) (-.f64 #s(literal 2 binary64) y)))) (/.f64 x (*.f64 (-.f64 #s(literal 2 binary64) y) (-.f64 #s(literal 2 binary64) y)))) (/.f64 x (-.f64 #s(literal 2 binary64) y)))
(* x (+ (* x (+ (* x (+ (/ 1 (pow (- 2 y) 3)) (/ x (pow (- 2 y) 4)))) (/ 1 (pow (- 2 y) 2)))) (/ 1 (- 2 y))))
(fma.f64 x (fma.f64 x (fma.f64 x (/.f64 x (pow.f64 (-.f64 #s(literal 2 binary64) y) #s(literal 4 binary64))) (/.f64 x (*.f64 (-.f64 #s(literal 2 binary64) y) (*.f64 (-.f64 #s(literal 2 binary64) y) (-.f64 #s(literal 2 binary64) y))))) (/.f64 x (*.f64 (-.f64 #s(literal 2 binary64) y) (-.f64 #s(literal 2 binary64) y)))) (/.f64 x (-.f64 #s(literal 2 binary64) y)))
-1
#s(literal -1 binary64)
(- (/ y x) (+ 1 (* 2 (/ 1 x))))
(+.f64 #s(literal -1 binary64) (/.f64 (+.f64 y #s(literal -2 binary64)) x))
(- (+ (/ y x) (/ (* (- 2 y) (- y 2)) (pow x 2))) (+ 1 (* 2 (/ 1 x))))
(fma.f64 (-.f64 #s(literal 2 binary64) y) (/.f64 (+.f64 y #s(literal -2 binary64)) (*.f64 x x)) (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 y #s(literal -2 binary64)) x)))
(- (+ (/ y x) (/ (* (pow (- 2 y) 2) (- y 2)) (pow x 3))) (+ 1 (+ (* -1 (/ (* (- 2 y) (- y 2)) (pow x 2))) (* 2 (/ 1 x)))))
(fma.f64 (*.f64 (-.f64 #s(literal 2 binary64) y) (-.f64 #s(literal 2 binary64) y)) (/.f64 (+.f64 y #s(literal -2 binary64)) (*.f64 x (*.f64 x x))) (fma.f64 (-.f64 #s(literal 2 binary64) y) (/.f64 (+.f64 y #s(literal -2 binary64)) (*.f64 x x)) (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 y #s(literal -2 binary64)) x))))
-1
#s(literal -1 binary64)
(- (* -1 (/ (- 2 y) x)) 1)
(+.f64 #s(literal -1 binary64) (/.f64 (+.f64 y #s(literal -2 binary64)) x))
(- (* -1 (/ (- (/ (pow (- 2 y) 2) x) (* -1 (- 2 y))) x)) 1)
(-.f64 #s(literal -1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 2 binary64) y) (+.f64 (/.f64 (-.f64 #s(literal 2 binary64) y) x) #s(literal 1 binary64))) x))
(- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow (- 2 y) 3) x)) (pow (- 2 y) 2)) x)) (* -1 (- 2 y))) x)) 1)
(-.f64 #s(literal -1 binary64) (/.f64 (+.f64 (-.f64 #s(literal 2 binary64) y) (/.f64 (*.f64 (-.f64 #s(literal 2 binary64) y) (*.f64 (-.f64 #s(literal 2 binary64) y) (+.f64 (/.f64 (-.f64 #s(literal 2 binary64) y) x) #s(literal 1 binary64)))) x)) x))
(/ x (- 2 x))
(/.f64 x (-.f64 #s(literal 2 binary64) x))
(+ (/ x (- 2 x)) (/ (* x y) (pow (- 2 x) 2)))
(fma.f64 x (/.f64 y (*.f64 (-.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 2 binary64) x))) (/.f64 x (-.f64 #s(literal 2 binary64) x)))
(+ (* y (- (/ (* x y) (pow (- 2 x) 3)) (* -1 (/ x (pow (- 2 x) 2))))) (/ x (- 2 x)))
(fma.f64 y (*.f64 (/.f64 x (*.f64 (-.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 2 binary64) x))) (+.f64 #s(literal 1 binary64) (/.f64 y (-.f64 #s(literal 2 binary64) x)))) (/.f64 x (-.f64 #s(literal 2 binary64) x)))
(+ (* y (- (* y (- (/ (* x y) (pow (- 2 x) 4)) (* -1 (/ x (pow (- 2 x) 3))))) (* -1 (/ x (pow (- 2 x) 2))))) (/ x (- 2 x)))
(fma.f64 y (fma.f64 y (fma.f64 y (/.f64 x (pow.f64 (-.f64 #s(literal 2 binary64) x) #s(literal 4 binary64))) (/.f64 x (*.f64 (-.f64 #s(literal 2 binary64) x) (*.f64 (-.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 2 binary64) x))))) (/.f64 x (*.f64 (-.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 2 binary64) x)))) (/.f64 x (-.f64 #s(literal 2 binary64) x)))
(* -1 (/ x y))
(/.f64 x (neg.f64 y))
(/ (+ (* -1 x) (* -1 (/ (* x (- 2 x)) y))) y)
(/.f64 (-.f64 (*.f64 x (/.f64 (+.f64 x #s(literal -2 binary64)) y)) x) y)
(/ (- (+ (* -1 x) (* -1 (/ (* x (pow (- 2 x) 2)) (pow y 2)))) (/ (* x (- 2 x)) y)) y)
(/.f64 (fma.f64 x (*.f64 (/.f64 (-.f64 #s(literal 2 binary64) x) y) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 2 binary64) x) y))) x) (neg.f64 y))
(/ (- (+ (* -1 x) (* -1 (/ (* x (pow (- 2 x) 3)) (pow y 3)))) (+ (/ (* x (- 2 x)) y) (/ (* x (pow (- 2 x) 2)) (pow y 2)))) y)
(/.f64 (fma.f64 x (fma.f64 (*.f64 (-.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 2 binary64) x)) (/.f64 (+.f64 x #s(literal -2 binary64)) (*.f64 y (*.f64 y y))) #s(literal -1 binary64)) (/.f64 (*.f64 x (fma.f64 (-.f64 #s(literal 2 binary64) x) (/.f64 (+.f64 x #s(literal -2 binary64)) y) (+.f64 x #s(literal -2 binary64)))) y)) y)
(* -1 (/ x y))
(/.f64 x (neg.f64 y))
(* -1 (/ (+ x (/ (* x (- 2 x)) y)) y))
(/.f64 (-.f64 (*.f64 x (/.f64 (+.f64 x #s(literal -2 binary64)) y)) x) y)
(* -1 (/ (+ x (* -1 (/ (- (* -1 (/ (* x (pow (- 2 x) 2)) y)) (* x (- 2 x))) y))) y))
(/.f64 (fma.f64 x (*.f64 (/.f64 (-.f64 #s(literal 2 binary64) x) y) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 2 binary64) x) y))) x) (neg.f64 y))
(* -1 (/ (+ x (* -1 (/ (- (* -1 (/ (- (/ (* x (pow (- 2 x) 3)) y) (* -1 (* x (pow (- 2 x) 2)))) y)) (* x (- 2 x))) y))) y))
(/.f64 (-.f64 (/.f64 (-.f64 (*.f64 x (+.f64 x #s(literal -2 binary64))) (/.f64 (*.f64 x (fma.f64 (-.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 2 binary64) x) (/.f64 (*.f64 (-.f64 #s(literal 2 binary64) x) (*.f64 (-.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 2 binary64) x))) y))) y)) y) x) y)

eval265.0ms (3%)

Memory
18.2MiB live, 351.5MiB allocated
Compiler

Compiled 35 212 to 3 451 computations (90.2% saved)

prune280.0ms (3.2%)

Memory
-22.4MiB live, 468.5MiB allocated
Pruning

16 alts after pruning (12 fresh and 4 done)

PrunedKeptTotal
New1 54861 554
Fresh167
Picked235
Done011
Total1 551161 567
Accuracy
100.0%
Counts
1 567 → 16
Alt Table
Click to see full alt table
StatusAccuracyProgram
36.1%
(/.f64 (-.f64 y x) x)
✓100.0%
(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y)))
65.0%
(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) y))
▶35.5%
(/.f64 (-.f64 x y) (neg.f64 y))
▶50.7%
(/.f64 y (+.f64 y #s(literal -2 binary64)))
✓50.7%
(/.f64 x (-.f64 #s(literal 2 binary64) (+.f64 x y)))
✓50.5%
(/.f64 x (-.f64 #s(literal 2 binary64) x))
3.1%
(/.f64 x (neg.f64 y))
50.6%
(/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal -2 binary64) y) #s(literal 1 binary64)))
35.4%
(-.f64 #s(literal 1 binary64) (/.f64 (+.f64 x (+.f64 x #s(literal -2 binary64))) y))
36.2%
(+.f64 (/.f64 (fma.f64 y #s(literal 2 binary64) #s(literal -2 binary64)) x) #s(literal -1 binary64))
▶99.8%
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (+.f64 x y))) (-.f64 x y))
▶16.4%
(*.f64 x (fma.f64 x #s(literal 1/4 binary64) #s(literal 1/2 binary64)))
16.8%
(*.f64 x #s(literal 1/2 binary64))
▶35.4%
#s(literal 1 binary64)
✓35.8%
#s(literal -1 binary64)
Compiler

Compiled 222 to 159 computations (28.4% saved)

simplify87.0ms (1%)

Memory
21.5MiB live, 60.0MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 11 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(neg.f64 y)
✓cost-diff0
(-.f64 x y)
✓cost-diff128
(/.f64 (-.f64 x y) (neg.f64 y))
✓cost-diff0
(+.f64 y #s(literal -2 binary64))
✓cost-diff0
(/.f64 y (+.f64 y #s(literal -2 binary64)))
✓cost-diff0
(fma.f64 x #s(literal 1/4 binary64) #s(literal 1/2 binary64))
✓cost-diff0
(*.f64 x (fma.f64 x #s(literal 1/4 binary64) #s(literal 1/2 binary64)))
✓cost-diff0
(+.f64 x y)
✓cost-diff0
(-.f64 #s(literal 2 binary64) (+.f64 x y))
✓cost-diff0
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (+.f64 x y)))
✓cost-diff320
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (+.f64 x y))) (-.f64 x y))
Rules
920×accelerator-lowering-fma.f32
920×accelerator-lowering-fma.f64
536×*-lowering-*.f32
536×*-lowering-*.f64
332×div-sub
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01972
14870
210370
325369
455469
594969
6134269
7185969
8200069
9203669
10203869
11204269
12204269
0204267
Stop Event
1×iter limit
1×saturated
Calls
Call 1
Inputs
(* (/ 1 (- 2 (+ x y))) (- x y))
(/ 1 (- 2 (+ x y)))
1
(- 2 (+ x y))
2
(+ x y)
x
y
(- x y)
1
(* x (+ (* x 1/4) 1/2))
x
(+ (* x 1/4) 1/2)
1/4
1/2
(/ y (+ y -2))
y
(+ y -2)
-2
(/ (- x y) (neg y))
(- x y)
x
y
(neg y)
Outputs
(* (/ 1 (- 2 (+ x y))) (- x y))
(/.f64 (-.f64 x y) (-.f64 (-.f64 #s(literal 2 binary64) x) y))
(/ 1 (- 2 (+ x y)))
(/.f64 #s(literal 1 binary64) (-.f64 (-.f64 #s(literal 2 binary64) x) y))
1
#s(literal 1 binary64)
(- 2 (+ x y))
(-.f64 (-.f64 #s(literal 2 binary64) x) y)
2
#s(literal 2 binary64)
(+ x y)
(+.f64 x y)
x
y
(- x y)
(-.f64 x y)
1
#s(literal 1 binary64)
(* x (+ (* x 1/4) 1/2))
(*.f64 x (fma.f64 x #s(literal 1/4 binary64) #s(literal 1/2 binary64)))
x
(+ (* x 1/4) 1/2)
(fma.f64 x #s(literal 1/4 binary64) #s(literal 1/2 binary64))
1/4
#s(literal 1/4 binary64)
1/2
#s(literal 1/2 binary64)
(/ y (+ y -2))
(/.f64 y (+.f64 y #s(literal -2 binary64)))
y
(+ y -2)
(+.f64 y #s(literal -2 binary64))
-2
#s(literal -2 binary64)
(/ (- x y) (neg y))
(-.f64 #s(literal 1 binary64) (/.f64 x y))
(- x y)
(-.f64 x y)
x
y
(neg y)
(neg.f64 y)

localize59.0ms (0.7%)

Memory
9.2MiB live, 119.8MiB allocated
Localize:

Found 11 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(-.f64 x y)
✓accuracy100.0%
(neg.f64 y)
✓accuracy100.0%
(/.f64 (-.f64 x y) (neg.f64 y))
✓accuracy100.0%
(+.f64 y #s(literal -2 binary64))
✓accuracy100.0%
(/.f64 y (+.f64 y #s(literal -2 binary64)))
✓accuracy100.0%
(fma.f64 x #s(literal 1/4 binary64) #s(literal 1/2 binary64))
✓accuracy100.0%
(*.f64 x (fma.f64 x #s(literal 1/4 binary64) #s(literal 1/2 binary64)))
✓accuracy100.0%
(-.f64 #s(literal 2 binary64) (+.f64 x y))
✓accuracy100.0%
(+.f64 x y)
✓accuracy100.0%
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (+.f64 x y)))
✓accuracy99.8%
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (+.f64 x y))) (-.f64 x y))
Samples
35.0ms254×0valid
1.0ms2×2valid
Compiler

Compiled 72 to 21 computations (70.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 20.0ms
ival-div: 5.0ms (25.4% of total)
ival-add: 5.0ms (25.4% of total)
ival-mult: 4.0ms (20.3% of total)
ival-sub: 3.0ms (15.3% of total)
exact: 1.0ms (5.1% of total)
ival-neg: 1.0ms (5.1% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series17.0ms (0.2%)

Memory
-22.4MiB live, 20.7MiB allocated
Counts
11 → 204
Calls
Call 1
Inputs
#<alt (* (/ 1 (- 2 (+ x y))) (- x y))>
#<alt (/ 1 (- 2 (+ x y)))>
#<alt (- 2 (+ x y))>
#<alt (+ x y)>
#<alt (* x (+ (* x 1/4) 1/2))>
#<alt (+ (* x 1/4) 1/2)>
#<alt (/ y (+ y -2))>
#<alt (+ y -2)>
#<alt (/ (- x y) (neg y))>
#<alt (- x y)>
#<alt (neg y)>
Outputs
#<alt (* -1 (/ y (- 2 y)))>
#<alt (+ (* -1 (/ y (- 2 y))) (* x (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2)))))>
#<alt (+ (* -1 (/ y (- 2 y))) (* x (- (+ (/ 1 (- 2 y)) (/ (* x (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2)))) (- 2 y))) (/ y (pow (- 2 y) 2)))))>
#<alt (+ (* -1 (/ y (- 2 y))) (* x (- (+ (* x (- (/ (* x (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2)))) (pow (- 2 y) 2)) (* -1 (/ (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2))) (- 2 y))))) (/ 1 (- 2 y))) (/ y (pow (- 2 y) 2)))))>
#<alt -1>
#<alt (- (* 2 (/ y x)) (+ 1 (* 2 (/ 1 x))))>
#<alt (- (+ (* 2 (/ y x)) (/ (* (- 2 y) (- (* 2 y) 2)) (pow x 2))) (+ 1 (* 2 (/ 1 x))))>
#<alt (- (+ (* 2 (/ y x)) (/ (* (pow (- 2 y) 2) (- (* 2 y) 2)) (pow x 3))) (+ 1 (+ (* -1 (/ (* (- 2 y) (- (* 2 y) 2)) (pow x 2))) (* 2 (/ 1 x)))))>
#<alt -1>
#<alt (- (* 2 (/ y x)) (+ 1 (* 2 (/ 1 x))))>
#<alt (- (* -1 (/ (+ (* -1 (- (* 2 y) 2)) (* -1 (/ (* (- 2 y) (- (* 2 y) 2)) x))) x)) 1)>
#<alt (- (* -1 (/ (+ (* -1 (- (* 2 y) 2)) (* -1 (/ (+ (* (- 2 y) (- (* 2 y) 2)) (/ (* (pow (- 2 y) 2) (- (* 2 y) 2)) x)) x))) x)) 1)>
#<alt (/ x (- 2 x))>
#<alt (+ (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x)))>
#<alt (+ (* y (- (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 3))) (/ 1 (pow (- 2 x) 2))))) (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x)))>
#<alt (+ (* y (- (* y (- (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 4))) (/ 1 (pow (- 2 x) 3))))) (+ (* -1 (/ x (pow (- 2 x) 3))) (/ 1 (pow (- 2 x) 2))))) (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x)))>
#<alt 1>
#<alt (- (+ 1 (* -1 (/ x y))) (* -1 (/ (- 2 x) y)))>
#<alt (- (+ 1 (+ (* -1 (/ x y)) (/ (* (- 2 x) (- (* -1 x) (* -1 (- 2 x)))) (pow y 2)))) (* -1 (/ (- 2 x) y)))>
#<alt (- (+ 1 (+ (* -1 (/ x y)) (/ (* (pow (- 2 x) 2) (- (* -1 x) (* -1 (- 2 x)))) (pow y 3)))) (+ (* -1 (/ (* (- 2 x) (- (* -1 x) (* -1 (- 2 x)))) (pow y 2))) (* -1 (/ (- 2 x) y))))>
#<alt 1>
#<alt (+ 1 (* -1 (/ (- (* 2 x) 2) y)))>
#<alt (+ 1 (* -1 (/ (- (+ (* 2 x) (/ (* (- 2 x) (- (* 2 x) 2)) y)) 2) y)))>
#<alt (+ 1 (* -1 (/ (- (+ (* -1 (/ (- (* -1 (/ (* (pow (- 2 x) 2) (- (* 2 x) 2)) y)) (* (- 2 x) (- (* 2 x) 2))) y)) (* 2 x)) 2) y)))>
#<alt (/ 1 (- 2 y))>
#<alt (+ (/ 1 (- 2 y)) (/ x (pow (- 2 y) 2)))>
#<alt (+ (* x (+ (/ 1 (pow (- 2 y) 2)) (/ x (pow (- 2 y) 3)))) (/ 1 (- 2 y)))>
#<alt (+ (* x (+ (* x (+ (/ 1 (pow (- 2 y) 3)) (/ x (pow (- 2 y) 4)))) (/ 1 (pow (- 2 y) 2)))) (/ 1 (- 2 y)))>
#<alt (/ -1 x)>
#<alt (/ (- (/ y x) (+ 1 (* 2 (/ 1 x)))) x)>
#<alt (/ (- (+ (/ y x) (/ (* (- 2 y) (- y 2)) (pow x 2))) (+ 1 (* 2 (/ 1 x)))) x)>
#<alt (/ (- (+ (/ y x) (/ (* (pow (- 2 y) 2) (- y 2)) (pow x 3))) (+ 1 (+ (* -1 (/ (* (- 2 y) (- y 2)) (pow x 2))) (* 2 (/ 1 x))))) x)>
#<alt (/ -1 x)>
#<alt (* -1 (/ (+ 1 (* -1 (/ (- y 2) x))) x))>
#<alt (* -1 (/ (+ 1 (* -1 (/ (- (+ y (/ (* (- 2 y) (- y 2)) x)) 2) x))) x))>
#<alt (* -1 (/ (+ 1 (* -1 (/ (- (+ y (* -1 (/ (- (* -1 (/ (* (pow (- 2 y) 2) (- y 2)) x)) (* (- 2 y) (- y 2))) x))) 2) x))) x))>
#<alt (/ 1 (- 2 x))>
#<alt (+ (/ 1 (- 2 x)) (/ y (pow (- 2 x) 2)))>
#<alt (+ (* y (+ (/ 1 (pow (- 2 x) 2)) (/ y (pow (- 2 x) 3)))) (/ 1 (- 2 x)))>
#<alt (+ (* y (+ (* y (+ (/ 1 (pow (- 2 x) 3)) (/ y (pow (- 2 x) 4)))) (/ 1 (pow (- 2 x) 2)))) (/ 1 (- 2 x)))>
#<alt (/ -1 y)>
#<alt (/ (- (/ x y) (+ 1 (* 2 (/ 1 y)))) y)>
#<alt (/ (- (+ (/ x y) (/ (* (- 2 x) (- x 2)) (pow y 2))) (+ 1 (* 2 (/ 1 y)))) y)>
#<alt (/ (- (+ (/ x y) (/ (* (pow (- 2 x) 2) (- x 2)) (pow y 3))) (+ 1 (+ (* -1 (/ (* (- 2 x) (- x 2)) (pow y 2))) (* 2 (/ 1 y))))) y)>
#<alt (/ -1 y)>
#<alt (* -1 (/ (+ 1 (* -1 (/ (- x 2) y))) y))>
#<alt (* -1 (/ (+ 1 (* -1 (/ (- (+ x (/ (* (- 2 x) (- x 2)) y)) 2) y))) y))>
#<alt (* -1 (/ (+ 1 (* -1 (/ (- (+ x (* -1 (/ (- (* -1 (/ (* (pow (- 2 x) 2) (- x 2)) y)) (* (- 2 x) (- x 2))) y))) 2) y))) y))>
#<alt (- 2 y)>
#<alt (- (+ 2 (* -1 x)) y)>
#<alt (- (+ 2 (* -1 x)) y)>
#<alt (- (+ 2 (* -1 x)) y)>
#<alt (* -1 x)>
#<alt (* x (- (* 2 (/ 1 x)) (+ 1 (/ y x))))>
#<alt (* x (- (* 2 (/ 1 x)) (+ 1 (/ y x))))>
#<alt (* x (- (* 2 (/ 1 x)) (+ 1 (/ y x))))>
#<alt (* -1 x)>
#<alt (* -1 (* x (+ 1 (* -1 (/ (- 2 y) x)))))>
#<alt (* -1 (* x (+ 1 (* -1 (/ (- 2 y) x)))))>
#<alt (* -1 (* x (+ 1 (* -1 (/ (- 2 y) x)))))>
#<alt (- 2 x)>
#<alt (- (+ 2 (* -1 y)) x)>
#<alt (- (+ 2 (* -1 y)) x)>
#<alt (- (+ 2 (* -1 y)) x)>
#<alt (* -1 y)>
#<alt (* y (- (* 2 (/ 1 y)) (+ 1 (/ x y))))>
#<alt (* y (- (* 2 (/ 1 y)) (+ 1 (/ x y))))>
#<alt (* y (- (* 2 (/ 1 y)) (+ 1 (/ x y))))>
#<alt (* -1 y)>
#<alt (* -1 (* y (+ 1 (* -1 (/ (- 2 x) y)))))>
#<alt (* -1 (* y (+ 1 (* -1 (/ (- 2 x) y)))))>
#<alt (* -1 (* y (+ 1 (* -1 (/ (- 2 x) y)))))>
#<alt y>
#<alt (+ x y)>
#<alt (+ x y)>
#<alt (+ x y)>
#<alt x>
#<alt (* x (+ 1 (/ y x)))>
#<alt (* x (+ 1 (/ y x)))>
#<alt (* x (+ 1 (/ y x)))>
#<alt x>
#<alt (* -1 (* x (- (* -1 (/ y x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ y x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ y x)) 1)))>
#<alt x>
#<alt (+ x y)>
#<alt (+ x y)>
#<alt (+ x y)>
#<alt y>
#<alt (* y (+ 1 (/ x y)))>
#<alt (* y (+ 1 (/ x y)))>
#<alt (* y (+ 1 (/ x y)))>
#<alt y>
#<alt (* -1 (* y (- (* -1 (/ x y)) 1)))>
#<alt (* -1 (* y (- (* -1 (/ x y)) 1)))>
#<alt (* -1 (* y (- (* -1 (/ x y)) 1)))>
#<alt (* 1/2 x)>
#<alt (* x (+ 1/2 (* 1/4 x)))>
#<alt (* x (+ 1/2 (* 1/4 x)))>
#<alt (* x (+ 1/2 (* 1/4 x)))>
#<alt (* 1/4 (pow x 2))>
#<alt (* (pow x 2) (+ 1/4 (* 1/2 (/ 1 x))))>
#<alt (* (pow x 2) (+ 1/4 (* 1/2 (/ 1 x))))>
#<alt (* (pow x 2) (+ 1/4 (* 1/2 (/ 1 x))))>
#<alt (* 1/4 (pow x 2))>
#<alt (* (pow x 2) (+ 1/4 (* 1/2 (/ 1 x))))>
#<alt (* (pow x 2) (+ 1/4 (* 1/2 (/ 1 x))))>
#<alt (* (pow x 2) (+ 1/4 (* 1/2 (/ 1 x))))>
#<alt 1/2>
#<alt (+ 1/2 (* 1/4 x))>
#<alt (+ 1/2 (* 1/4 x))>
#<alt (+ 1/2 (* 1/4 x))>
#<alt (* 1/4 x)>
#<alt (* x (+ 1/4 (* 1/2 (/ 1 x))))>
#<alt (* x (+ 1/4 (* 1/2 (/ 1 x))))>
#<alt (* x (+ 1/4 (* 1/2 (/ 1 x))))>
#<alt (* 1/4 x)>
#<alt (* x (+ 1/4 (* 1/2 (/ 1 x))))>
#<alt (* x (+ 1/4 (* 1/2 (/ 1 x))))>
#<alt (* x (+ 1/4 (* 1/2 (/ 1 x))))>
#<alt (* -1/2 y)>
#<alt (* y (- (* -1/4 y) 1/2))>
#<alt (* y (- (* y (- (* -1/8 y) 1/4)) 1/2))>
#<alt (* y (- (* y (- (* y (- (* -1/16 y) 1/8)) 1/4)) 1/2))>
#<alt 1>
#<alt (+ 1 (* 2 (/ 1 y)))>
#<alt (+ 1 (+ (* 2 (/ 1 y)) (/ 4 (pow y 2))))>
#<alt (+ 1 (+ (* 2 (/ 1 y)) (+ (* 8 (/ 1 (pow y 3))) (/ 4 (pow y 2)))))>
#<alt 1>
#<alt (+ 1 (* 2 (/ 1 y)))>
#<alt (+ 1 (+ (* 2 (/ 1 y)) (/ 4 (pow y 2))))>
#<alt (+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (* 8 (/ 1 y))) y)) 2) y)))>
#<alt -2>
#<alt (- y 2)>
#<alt (- y 2)>
#<alt (- y 2)>
#<alt y>
#<alt (* y (- 1 (* 2 (/ 1 y))))>
#<alt (* y (- 1 (* 2 (/ 1 y))))>
#<alt (* y (- 1 (* 2 (/ 1 y))))>
#<alt y>
#<alt (* -1 (* y (- (* 2 (/ 1 y)) 1)))>
#<alt (* -1 (* y (- (* 2 (/ 1 y)) 1)))>
#<alt (* -1 (* y (- (* 2 (/ 1 y)) 1)))>
#<alt 1>
#<alt (+ 1 (* -1 (/ x y)))>
#<alt (+ 1 (* -1 (/ x y)))>
#<alt (+ 1 (* -1 (/ x y)))>
#<alt (* -1 (/ x y))>
#<alt (* x (- (/ 1 x) (/ 1 y)))>
#<alt (* x (- (/ 1 x) (/ 1 y)))>
#<alt (* x (- (/ 1 x) (/ 1 y)))>
#<alt (* -1 (/ x y))>
#<alt (* -1 (* x (- (/ 1 y) (/ 1 x))))>
#<alt (* -1 (* x (- (/ 1 y) (/ 1 x))))>
#<alt (* -1 (* x (- (/ 1 y) (/ 1 x))))>
#<alt (* -1 (/ x y))>
#<alt (/ (+ y (* -1 x)) y)>
#<alt (/ (+ y (* -1 x)) y)>
#<alt (/ (+ y (* -1 x)) y)>
#<alt 1>
#<alt (+ 1 (* -1 (/ x y)))>
#<alt (+ 1 (* -1 (/ x y)))>
#<alt (+ 1 (* -1 (/ x y)))>
#<alt 1>
#<alt (+ 1 (* -1 (/ x y)))>
#<alt (+ 1 (* -1 (/ x y)))>
#<alt (+ 1 (* -1 (/ x y)))>
#<alt (* -1 y)>
#<alt (- x y)>
#<alt (- x y)>
#<alt (- x y)>
#<alt x>
#<alt (* x (+ 1 (* -1 (/ y x))))>
#<alt (* x (+ 1 (* -1 (/ y x))))>
#<alt (* x (+ 1 (* -1 (/ y x))))>
#<alt x>
#<alt (* -1 (* x (- (/ y x) 1)))>
#<alt (* -1 (* x (- (/ y x) 1)))>
#<alt (* -1 (* x (- (/ y x) 1)))>
#<alt x>
#<alt (+ x (* -1 y))>
#<alt (+ x (* -1 y))>
#<alt (+ x (* -1 y))>
#<alt (* -1 y)>
#<alt (* y (- (/ x y) 1))>
#<alt (* y (- (/ x y) 1))>
#<alt (* y (- (/ x y) 1))>
#<alt (* -1 y)>
#<alt (* -1 (* y (+ 1 (* -1 (/ x y)))))>
#<alt (* -1 (* y (+ 1 (* -1 (/ x y)))))>
#<alt (* -1 (* y (+ 1 (* -1 (/ x y)))))>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
Calls

51 calls:

TimeVariablePointExpression
4.0ms
y
@0
(/ y (+ y -2))
3.0ms
y
@inf
(/ y (+ y -2))
2.0ms
y
@inf
(/ (- x y) (neg y))
0.0ms
x
@0
(/ (- x y) (neg y))
0.0ms
x
@inf
(* x (+ (* x 1/4) 1/2))

rewrite374.0ms (4.2%)

Memory
33.3MiB live, 774.4MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
6 566×accelerator-lowering-fma.f32
6 566×accelerator-lowering-fma.f64
4 850×*-lowering-*.f32
4 850×*-lowering-*.f64
3 754×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01957
112355
299454
0871952
Stop Event
1×iter limit
1×node limit
Counts
11 → 793
Calls
Call 1
Inputs
(* (/ 1 (- 2 (+ x y))) (- x y))
(/ 1 (- 2 (+ x y)))
(- 2 (+ x y))
(+ x y)
(* x (+ (* x 1/4) 1/2))
(+ (* x 1/4) 1/2)
(/ y (+ y -2))
(+ y -2)
(/ (- x y) (neg y))
(- x y)
(neg y)
Outputs
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (+.f64 x y))) x) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (+.f64 x y))) (neg.f64 y)))
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (+.f64 x y))) (neg.f64 y)) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (+.f64 x y))) x))
(+.f64 (/.f64 x (-.f64 #s(literal 2 binary64) (+.f64 x y))) (/.f64 (neg.f64 y) (-.f64 #s(literal 2 binary64) (+.f64 x y))))
(+.f64 (/.f64 (neg.f64 y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) (/.f64 x (-.f64 #s(literal 2 binary64) (+.f64 x y))))
(+.f64 (*.f64 #s(literal 1 binary64) (/.f64 x (-.f64 #s(literal 2 binary64) (+.f64 x y)))) (*.f64 #s(literal 1 binary64) (/.f64 (neg.f64 y) (-.f64 #s(literal 2 binary64) (+.f64 x y)))))
(+.f64 (*.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 8 binary64) (*.f64 (+.f64 x y) (*.f64 (+.f64 x y) (+.f64 x y))))) #s(literal 4 binary64)) (*.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 8 binary64) (*.f64 (+.f64 x y) (*.f64 (+.f64 x y) (+.f64 x y))))) (*.f64 (+.f64 x y) (+.f64 #s(literal 2 binary64) (+.f64 x y)))))
(+.f64 (*.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 8 binary64) (*.f64 (+.f64 x y) (*.f64 (+.f64 x y) (+.f64 x y))))) (*.f64 (+.f64 x y) (+.f64 #s(literal 2 binary64) (+.f64 x y)))) (*.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 8 binary64) (*.f64 (+.f64 x y) (*.f64 (+.f64 x y) (+.f64 x y))))) #s(literal 4 binary64)))
(+.f64 (*.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 8 binary64) (*.f64 (+.f64 x y) (*.f64 (+.f64 x y) (+.f64 x y))))) (+.f64 #s(literal 4 binary64) (*.f64 (+.f64 x y) (+.f64 x y)))) (*.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 8 binary64) (*.f64 (+.f64 x y) (*.f64 (+.f64 x y) (+.f64 x y))))) (*.f64 #s(literal 2 binary64) (+.f64 x y))))
(+.f64 (*.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 4 binary64) (*.f64 (+.f64 x y) (+.f64 x y)))) #s(literal 2 binary64)) (*.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 4 binary64) (*.f64 (+.f64 x y) (+.f64 x y)))) (+.f64 x y)))
(+.f64 (*.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 4 binary64) (*.f64 (+.f64 x y) (+.f64 x y)))) (+.f64 x y)) (*.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 4 binary64) (*.f64 (+.f64 x y) (+.f64 x y)))) #s(literal 2 binary64)))
(+.f64 (*.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 4 binary64) (*.f64 (+.f64 x y) (+.f64 x y)))) (+.f64 #s(literal 2 binary64) x)) (*.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 4 binary64) (*.f64 (+.f64 x y) (+.f64 x y)))) y))
(+.f64 (*.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 4 binary64) (*.f64 (+.f64 x y) (+.f64 x y)))) (+.f64 #s(literal 2 binary64) y)) (*.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 4 binary64) (*.f64 (+.f64 x y) (+.f64 x y)))) x))
(+.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (+.f64 x y))) x) #s(literal 1 binary64)) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (+.f64 x y))) (neg.f64 y)) #s(literal 1 binary64)))
(+.f64 (*.f64 #s(literal 4 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 8 binary64) (*.f64 (+.f64 x y) (*.f64 (+.f64 x y) (+.f64 x y)))))) (*.f64 (*.f64 (+.f64 x y) (+.f64 #s(literal 2 binary64) (+.f64 x y))) (/.f64 (-.f64 x y) (-.f64 #s(literal 8 binary64) (*.f64 (+.f64 x y) (*.f64 (+.f64 x y) (+.f64 x y)))))))
(+.f64 (*.f64 (*.f64 (+.f64 x y) (+.f64 #s(literal 2 binary64) (+.f64 x y))) (/.f64 (-.f64 x y) (-.f64 #s(literal 8 binary64) (*.f64 (+.f64 x y) (*.f64 (+.f64 x y) (+.f64 x y)))))) (*.f64 #s(literal 4 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 8 binary64) (*.f64 (+.f64 x y) (*.f64 (+.f64 x y) (+.f64 x y)))))))
(+.f64 (*.f64 (+.f64 #s(literal 4 binary64) (*.f64 (+.f64 x y) (+.f64 x y))) (/.f64 (-.f64 x y) (-.f64 #s(literal 8 binary64) (*.f64 (+.f64 x y) (*.f64 (+.f64 x y) (+.f64 x y)))))) (*.f64 (*.f64 #s(literal 2 binary64) (+.f64 x y)) (/.f64 (-.f64 x y) (-.f64 #s(literal 8 binary64) (*.f64 (+.f64 x y) (*.f64 (+.f64 x y) (+.f64 x y)))))))
(+.f64 (*.f64 #s(literal 2 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 4 binary64) (*.f64 (+.f64 x y) (+.f64 x y))))) (*.f64 (+.f64 x y) (/.f64 (-.f64 x y) (-.f64 #s(literal 4 binary64) (*.f64 (+.f64 x y) (+.f64 x y))))))
(+.f64 (*.f64 (+.f64 x y) (/.f64 (-.f64 x y) (-.f64 #s(literal 4 binary64) (*.f64 (+.f64 x y) (+.f64 x y))))) (*.f64 #s(literal 2 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 4 binary64) (*.f64 (+.f64 x y) (+.f64 x y))))))
(+.f64 (*.f64 (+.f64 #s(literal 2 binary64) x) (/.f64 (-.f64 x y) (-.f64 #s(literal 4 binary64) (*.f64 (+.f64 x y) (+.f64 x y))))) (*.f64 y (/.f64 (-.f64 x y) (-.f64 #s(literal 4 binary64) (*.f64 (+.f64 x y) (+.f64 x y))))))
(+.f64 (*.f64 (+.f64 #s(literal 2 binary64) y) (/.f64 (-.f64 x y) (-.f64 #s(literal 4 binary64) (*.f64 (+.f64 x y) (+.f64 x y))))) (*.f64 x (/.f64 (-.f64 x y) (-.f64 #s(literal 4 binary64) (*.f64 (+.f64 x y) (+.f64 x y))))))
(-.f64 (/.f64 x (-.f64 #s(literal 2 binary64) (+.f64 x y))) (/.f64 y (-.f64 #s(literal 2 binary64) (+.f64 x y))))
(-.f64 (/.f64 (/.f64 (*.f64 x (*.f64 x x)) (fma.f64 x x (*.f64 y (+.f64 x y)))) (-.f64 #s(literal 2 binary64) (+.f64 x y))) (/.f64 (/.f64 (*.f64 y (*.f64 y y)) (fma.f64 x x (*.f64 y (+.f64 x y)))) (-.f64 #s(literal 2 binary64) (+.f64 x y))))
(-.f64 (/.f64 (/.f64 (*.f64 x x) (+.f64 x y)) (-.f64 #s(literal 2 binary64) (+.f64 x y))) (/.f64 (/.f64 (*.f64 y y) (+.f64 x y)) (-.f64 #s(literal 2 binary64) (+.f64 x y))))
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 (+.f64 x y) #s(literal -2 binary64))) (/.f64 (-.f64 x y) (+.f64 (+.f64 x y) #s(literal -2 binary64))))
(fma.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (+.f64 x y))) x) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (+.f64 x y))) (neg.f64 y)))
(fma.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (+.f64 x y))) (neg.f64 y)) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (+.f64 x y))) x))
(fma.f64 #s(literal 1 binary64) (/.f64 x (-.f64 #s(literal 2 binary64) (+.f64 x y))) (*.f64 #s(literal 1 binary64) (/.f64 (neg.f64 y) (-.f64 #s(literal 2 binary64) (+.f64 x y)))))
(fma.f64 #s(literal 2 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 4 binary64) (*.f64 (+.f64 x y) (+.f64 x y)))) (*.f64 (+.f64 x y) (/.f64 (-.f64 x y) (-.f64 #s(literal 4 binary64) (*.f64 (+.f64 x y) (+.f64 x y))))))
(fma.f64 x (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (+.f64 x y))) (/.f64 (neg.f64 y) (-.f64 #s(literal 2 binary64) (+.f64 x y))))
(fma.f64 y (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 x y) #s(literal -2 binary64))) (/.f64 x (-.f64 #s(literal 2 binary64) (+.f64 x y))))
(fma.f64 (+.f64 x y) (/.f64 (-.f64 x y) (-.f64 #s(literal 4 binary64) (*.f64 (+.f64 x y) (+.f64 x y)))) (*.f64 #s(literal 2 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 4 binary64) (*.f64 (+.f64 x y) (+.f64 x y))))))
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (+.f64 x y))) x (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (+.f64 x y))) (neg.f64 y)))
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (+.f64 x y))) (neg.f64 y) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (+.f64 x y))) x))
(fma.f64 (neg.f64 y) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (+.f64 x y))) (/.f64 x (-.f64 #s(literal 2 binary64) (+.f64 x y))))
(fma.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 x y) #s(literal -2 binary64))) x) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (+.f64 x y))) (neg.f64 y)))
(fma.f64 #s(literal -1 binary64) (*.f64 y (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (+.f64 x y)))) (/.f64 x (-.f64 #s(literal 2 binary64) (+.f64 x y))))
(fma.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 x y) #s(literal -2 binary64))) (neg.f64 y)) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (+.f64 x y))) x))
(fma.f64 #s(literal 4 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 8 binary64) (*.f64 (+.f64 x y) (*.f64 (+.f64 x y) (+.f64 x y))))) (*.f64 (*.f64 (+.f64 x y) (+.f64 #s(literal 2 binary64) (+.f64 x y))) (/.f64 (-.f64 x y) (-.f64 #s(literal 8 binary64) (*.f64 (+.f64 x y) (*.f64 (+.f64 x y) (+.f64 x y)))))))
(fma.f64 (*.f64 (+.f64 x y) (+.f64 #s(literal 2 binary64) (+.f64 x y))) (/.f64 (-.f64 x y) (-.f64 #s(literal 8 binary64) (*.f64 (+.f64 x y) (*.f64 (+.f64 x y) (+.f64 x y))))) (*.f64 #s(literal 4 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 8 binary64) (*.f64 (+.f64 x y) (*.f64 (+.f64 x y) (+.f64 x y)))))))
(fma.f64 (+.f64 #s(literal 2 binary64) x) (/.f64 (-.f64 x y) (-.f64 #s(literal 4 binary64) (*.f64 (+.f64 x y) (+.f64 x y)))) (*.f64 y (/.f64 (-.f64 x y) (-.f64 #s(literal 4 binary64) (*.f64 (+.f64 x y) (+.f64 x y))))))
(fma.f64 (+.f64 #s(literal 4 binary64) (*.f64 (+.f64 x y) (+.f64 x y))) (/.f64 (-.f64 x y) (-.f64 #s(literal 8 binary64) (*.f64 (+.f64 x y) (*.f64 (+.f64 x y) (+.f64 x y))))) (*.f64 (*.f64 #s(literal 2 binary64) (+.f64 x y)) (/.f64 (-.f64 x y) (-.f64 #s(literal 8 binary64) (*.f64 (+.f64 x y) (*.f64 (+.f64 x y) (+.f64 x y)))))))
(fma.f64 (pow.f64 (-.f64 #s(literal 2 binary64) (+.f64 x y)) #s(literal -1/2 binary64)) (*.f64 (pow.f64 (-.f64 #s(literal 2 binary64) (+.f64 x y)) #s(literal -1/2 binary64)) x) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (+.f64 x y))) (neg.f64 y)))
(fma.f64 (pow.f64 (-.f64 #s(literal 2 binary64) (+.f64 x y)) #s(literal -1/2 binary64)) (*.f64 (pow.f64 (-.f64 #s(literal 2 binary64) (+.f64 x y)) #s(literal -1/2 binary64)) (neg.f64 y)) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (+.f64 x y))) x))
(fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (+.f64 x y))) x) #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (+.f64 x y))) (neg.f64 y)) #s(literal 1 binary64)))
(fma.f64 (/.f64 x (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal 1 binary64) (/.f64 (neg.f64 y) (-.f64 #s(literal 2 binary64) (+.f64 x y))))
(fma.f64 (/.f64 (neg.f64 y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal 1 binary64) (/.f64 x (-.f64 #s(literal 2 binary64) (+.f64 x y))))
(fma.f64 (+.f64 #s(literal 2 binary64) y) (/.f64 (-.f64 x y) (-.f64 #s(literal 4 binary64) (*.f64 (+.f64 x y) (+.f64 x y)))) (*.f64 x (/.f64 (-.f64 x y) (-.f64 #s(literal 4 binary64) (*.f64 (+.f64 x y) (+.f64 x y))))))
(fma.f64 (*.f64 x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 x y) #s(literal -2 binary64))) (/.f64 (neg.f64 y) (-.f64 #s(literal 2 binary64) (+.f64 x y))))
(fma.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 8 binary64) (*.f64 (+.f64 x y) (*.f64 (+.f64 x y) (+.f64 x y))))) #s(literal 4 binary64) (*.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 8 binary64) (*.f64 (+.f64 x y) (*.f64 (+.f64 x y) (+.f64 x y))))) (*.f64 (+.f64 x y) (+.f64 #s(literal 2 binary64) (+.f64 x y)))))
(fma.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 8 binary64) (*.f64 (+.f64 x y) (*.f64 (+.f64 x y) (+.f64 x y))))) (*.f64 (+.f64 x y) (+.f64 #s(literal 2 binary64) (+.f64 x y))) (*.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 8 binary64) (*.f64 (+.f64 x y) (*.f64 (+.f64 x y) (+.f64 x y))))) #s(literal 4 binary64)))
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(*.f64 (*.f64 (+.f64 x y) (-.f64 x y)) (/.f64 #s(literal 1 binary64) (+.f64 x y)))
(*.f64 (*.f64 (+.f64 x y) (-.f64 x y)) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x y)) #s(literal 1 binary64)))
(*.f64 (*.f64 (fma.f64 x x (*.f64 y (+.f64 x y))) (-.f64 y x)) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 x x (*.f64 y (+.f64 x y))))))
(*.f64 (*.f64 (+.f64 x y) (-.f64 y x)) (/.f64 #s(literal 1 binary64) (-.f64 (neg.f64 y) x)))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 x y)) (*.f64 (-.f64 x y) (-.f64 x y)))
(*.f64 (/.f64 (*.f64 (+.f64 x y) (-.f64 x y)) (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y)))) (fma.f64 y (-.f64 y x) (*.f64 x x)))
(*.f64 (/.f64 (*.f64 (+.f64 x y) (-.f64 x y)) (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y)))) (*.f64 (fma.f64 y (-.f64 y x) (*.f64 x x)) #s(literal 1 binary64)))
(*.f64 (/.f64 (+.f64 x y) (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y)))) (/.f64 (-.f64 x y) (/.f64 #s(literal 1 binary64) (fma.f64 y (-.f64 y x) (*.f64 x x)))))
(*.f64 (/.f64 (+.f64 x y) (/.f64 (*.f64 (+.f64 x y) (-.f64 x y)) (*.f64 (fma.f64 x x (*.f64 y (+.f64 x y))) (-.f64 x y)))) (/.f64 (-.f64 x y) (fma.f64 x x (*.f64 y (+.f64 x y)))))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y)))) (/.f64 (*.f64 (+.f64 x y) (-.f64 x y)) (/.f64 #s(literal 1 binary64) (fma.f64 y (-.f64 y x) (*.f64 x x)))))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 x y) (-.f64 x y))) (/.f64 (*.f64 (+.f64 x y) (-.f64 x y)) (/.f64 #s(literal 1 binary64) (-.f64 x y))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 x y) (-.f64 x y)) (*.f64 (fma.f64 x x (*.f64 y (+.f64 x y))) (-.f64 x y)))) (/.f64 (*.f64 (+.f64 x y) (-.f64 x y)) (fma.f64 x x (*.f64 y (+.f64 x y)))))
(*.f64 (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 x y) (-.f64 x y)) (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))))) (fma.f64 y (-.f64 y x) (*.f64 x x)))
(+.f64 #s(literal 0 binary64) (neg.f64 y))
(-.f64 #s(literal 0 binary64) y)
(-.f64 (/.f64 #s(literal 0 binary64) y) y)
(-.f64 (/.f64 #s(literal 0 binary64) (fma.f64 y y #s(literal 0 binary64))) y)
(neg.f64 y)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y y #s(literal 0 binary64)) (neg.f64 (*.f64 y (*.f64 y y)))))
(/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 y (neg.f64 y))))
(/.f64 y #s(literal -1 binary64))
(/.f64 (neg.f64 y) #s(literal 1 binary64))
(/.f64 (*.f64 y (*.f64 y y)) (neg.f64 (fma.f64 y y #s(literal 0 binary64))))
(/.f64 (*.f64 y y) (neg.f64 y))
(/.f64 (neg.f64 (*.f64 y (*.f64 y y))) (fma.f64 y y #s(literal 0 binary64)))
(/.f64 (neg.f64 (*.f64 y (*.f64 y y))) (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 y y) #s(literal 0 binary64))))
(/.f64 (*.f64 y (neg.f64 y)) y)
(*.f64 #s(literal 1 binary64) (neg.f64 y))
(*.f64 y #s(literal -1 binary64))
(*.f64 (neg.f64 y) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) y)
(*.f64 (neg.f64 (*.f64 y (*.f64 y y))) (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal 0 binary64))))
(*.f64 (*.f64 y (neg.f64 y)) (/.f64 #s(literal 1 binary64) y))

simplify583.0ms (6.6%)

Memory
-12.6MiB live, 624.0MiB allocated
Algorithm
1×egg-herbie
Rules
9 338×accelerator-lowering-fma.f32
9 338×accelerator-lowering-fma.f64
5 574×*-lowering-*.f32
5 574×*-lowering-*.f64
4 170×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03611851
110831727
232171692
085211605
Stop Event
1×iter limit
1×node limit
Counts
204 → 204
Calls
Call 1
Inputs
(* -1 (/ y (- 2 y)))
(+ (* -1 (/ y (- 2 y))) (* x (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2)))))
(+ (* -1 (/ y (- 2 y))) (* x (- (+ (/ 1 (- 2 y)) (/ (* x (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2)))) (- 2 y))) (/ y (pow (- 2 y) 2)))))
(+ (* -1 (/ y (- 2 y))) (* x (- (+ (* x (- (/ (* x (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2)))) (pow (- 2 y) 2)) (* -1 (/ (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2))) (- 2 y))))) (/ 1 (- 2 y))) (/ y (pow (- 2 y) 2)))))
-1
(- (* 2 (/ y x)) (+ 1 (* 2 (/ 1 x))))
(- (+ (* 2 (/ y x)) (/ (* (- 2 y) (- (* 2 y) 2)) (pow x 2))) (+ 1 (* 2 (/ 1 x))))
(- (+ (* 2 (/ y x)) (/ (* (pow (- 2 y) 2) (- (* 2 y) 2)) (pow x 3))) (+ 1 (+ (* -1 (/ (* (- 2 y) (- (* 2 y) 2)) (pow x 2))) (* 2 (/ 1 x)))))
-1
(- (* 2 (/ y x)) (+ 1 (* 2 (/ 1 x))))
(- (* -1 (/ (+ (* -1 (- (* 2 y) 2)) (* -1 (/ (* (- 2 y) (- (* 2 y) 2)) x))) x)) 1)
(- (* -1 (/ (+ (* -1 (- (* 2 y) 2)) (* -1 (/ (+ (* (- 2 y) (- (* 2 y) 2)) (/ (* (pow (- 2 y) 2) (- (* 2 y) 2)) x)) x))) x)) 1)
(/ x (- 2 x))
(+ (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x)))
(+ (* y (- (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 3))) (/ 1 (pow (- 2 x) 2))))) (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x)))
(+ (* y (- (* y (- (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 4))) (/ 1 (pow (- 2 x) 3))))) (+ (* -1 (/ x (pow (- 2 x) 3))) (/ 1 (pow (- 2 x) 2))))) (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x)))
1
(- (+ 1 (* -1 (/ x y))) (* -1 (/ (- 2 x) y)))
(- (+ 1 (+ (* -1 (/ x y)) (/ (* (- 2 x) (- (* -1 x) (* -1 (- 2 x)))) (pow y 2)))) (* -1 (/ (- 2 x) y)))
(- (+ 1 (+ (* -1 (/ x y)) (/ (* (pow (- 2 x) 2) (- (* -1 x) (* -1 (- 2 x)))) (pow y 3)))) (+ (* -1 (/ (* (- 2 x) (- (* -1 x) (* -1 (- 2 x)))) (pow y 2))) (* -1 (/ (- 2 x) y))))
1
(+ 1 (* -1 (/ (- (* 2 x) 2) y)))
(+ 1 (* -1 (/ (- (+ (* 2 x) (/ (* (- 2 x) (- (* 2 x) 2)) y)) 2) y)))
(+ 1 (* -1 (/ (- (+ (* -1 (/ (- (* -1 (/ (* (pow (- 2 x) 2) (- (* 2 x) 2)) y)) (* (- 2 x) (- (* 2 x) 2))) y)) (* 2 x)) 2) y)))
(/ 1 (- 2 y))
(+ (/ 1 (- 2 y)) (/ x (pow (- 2 y) 2)))
(+ (* x (+ (/ 1 (pow (- 2 y) 2)) (/ x (pow (- 2 y) 3)))) (/ 1 (- 2 y)))
(+ (* x (+ (* x (+ (/ 1 (pow (- 2 y) 3)) (/ x (pow (- 2 y) 4)))) (/ 1 (pow (- 2 y) 2)))) (/ 1 (- 2 y)))
(/ -1 x)
(/ (- (/ y x) (+ 1 (* 2 (/ 1 x)))) x)
(/ (- (+ (/ y x) (/ (* (- 2 y) (- y 2)) (pow x 2))) (+ 1 (* 2 (/ 1 x)))) x)
(/ (- (+ (/ y x) (/ (* (pow (- 2 y) 2) (- y 2)) (pow x 3))) (+ 1 (+ (* -1 (/ (* (- 2 y) (- y 2)) (pow x 2))) (* 2 (/ 1 x))))) x)
(/ -1 x)
(* -1 (/ (+ 1 (* -1 (/ (- y 2) x))) x))
(* -1 (/ (+ 1 (* -1 (/ (- (+ y (/ (* (- 2 y) (- y 2)) x)) 2) x))) x))
(* -1 (/ (+ 1 (* -1 (/ (- (+ y (* -1 (/ (- (* -1 (/ (* (pow (- 2 y) 2) (- y 2)) x)) (* (- 2 y) (- y 2))) x))) 2) x))) x))
(/ 1 (- 2 x))
(+ (/ 1 (- 2 x)) (/ y (pow (- 2 x) 2)))
(+ (* y (+ (/ 1 (pow (- 2 x) 2)) (/ y (pow (- 2 x) 3)))) (/ 1 (- 2 x)))
(+ (* y (+ (* y (+ (/ 1 (pow (- 2 x) 3)) (/ y (pow (- 2 x) 4)))) (/ 1 (pow (- 2 x) 2)))) (/ 1 (- 2 x)))
(/ -1 y)
(/ (- (/ x y) (+ 1 (* 2 (/ 1 y)))) y)
(/ (- (+ (/ x y) (/ (* (- 2 x) (- x 2)) (pow y 2))) (+ 1 (* 2 (/ 1 y)))) y)
(/ (- (+ (/ x y) (/ (* (pow (- 2 x) 2) (- x 2)) (pow y 3))) (+ 1 (+ (* -1 (/ (* (- 2 x) (- x 2)) (pow y 2))) (* 2 (/ 1 y))))) y)
(/ -1 y)
(* -1 (/ (+ 1 (* -1 (/ (- x 2) y))) y))
(* -1 (/ (+ 1 (* -1 (/ (- (+ x (/ (* (- 2 x) (- x 2)) y)) 2) y))) y))
(* -1 (/ (+ 1 (* -1 (/ (- (+ x (* -1 (/ (- (* -1 (/ (* (pow (- 2 x) 2) (- x 2)) y)) (* (- 2 x) (- x 2))) y))) 2) y))) y))
(- 2 y)
(- (+ 2 (* -1 x)) y)
(- (+ 2 (* -1 x)) y)
(- (+ 2 (* -1 x)) y)
(* -1 x)
(* x (- (* 2 (/ 1 x)) (+ 1 (/ y x))))
(* x (- (* 2 (/ 1 x)) (+ 1 (/ y x))))
(* x (- (* 2 (/ 1 x)) (+ 1 (/ y x))))
(* -1 x)
(* -1 (* x (+ 1 (* -1 (/ (- 2 y) x)))))
(* -1 (* x (+ 1 (* -1 (/ (- 2 y) x)))))
(* -1 (* x (+ 1 (* -1 (/ (- 2 y) x)))))
(- 2 x)
(- (+ 2 (* -1 y)) x)
(- (+ 2 (* -1 y)) x)
(- (+ 2 (* -1 y)) x)
(* -1 y)
(* y (- (* 2 (/ 1 y)) (+ 1 (/ x y))))
(* y (- (* 2 (/ 1 y)) (+ 1 (/ x y))))
(* y (- (* 2 (/ 1 y)) (+ 1 (/ x y))))
(* -1 y)
(* -1 (* y (+ 1 (* -1 (/ (- 2 x) y)))))
(* -1 (* y (+ 1 (* -1 (/ (- 2 x) y)))))
(* -1 (* y (+ 1 (* -1 (/ (- 2 x) y)))))
y
(+ x y)
(+ x y)
(+ x y)
x
(* x (+ 1 (/ y x)))
(* x (+ 1 (/ y x)))
(* x (+ 1 (/ y x)))
x
(* -1 (* x (- (* -1 (/ y x)) 1)))
(* -1 (* x (- (* -1 (/ y x)) 1)))
(* -1 (* x (- (* -1 (/ y x)) 1)))
x
(+ x y)
(+ x y)
(+ x y)
y
(* y (+ 1 (/ x y)))
(* y (+ 1 (/ x y)))
(* y (+ 1 (/ x y)))
y
(* -1 (* y (- (* -1 (/ x y)) 1)))
(* -1 (* y (- (* -1 (/ x y)) 1)))
(* -1 (* y (- (* -1 (/ x y)) 1)))
(* 1/2 x)
(* x (+ 1/2 (* 1/4 x)))
(* x (+ 1/2 (* 1/4 x)))
(* x (+ 1/2 (* 1/4 x)))
(* 1/4 (pow x 2))
(* (pow x 2) (+ 1/4 (* 1/2 (/ 1 x))))
(* (pow x 2) (+ 1/4 (* 1/2 (/ 1 x))))
(* (pow x 2) (+ 1/4 (* 1/2 (/ 1 x))))
(* 1/4 (pow x 2))
(* (pow x 2) (+ 1/4 (* 1/2 (/ 1 x))))
(* (pow x 2) (+ 1/4 (* 1/2 (/ 1 x))))
(* (pow x 2) (+ 1/4 (* 1/2 (/ 1 x))))
1/2
(+ 1/2 (* 1/4 x))
(+ 1/2 (* 1/4 x))
(+ 1/2 (* 1/4 x))
(* 1/4 x)
(* x (+ 1/4 (* 1/2 (/ 1 x))))
(* x (+ 1/4 (* 1/2 (/ 1 x))))
(* x (+ 1/4 (* 1/2 (/ 1 x))))
(* 1/4 x)
(* x (+ 1/4 (* 1/2 (/ 1 x))))
(* x (+ 1/4 (* 1/2 (/ 1 x))))
(* x (+ 1/4 (* 1/2 (/ 1 x))))
(* -1/2 y)
(* y (- (* -1/4 y) 1/2))
(* y (- (* y (- (* -1/8 y) 1/4)) 1/2))
(* y (- (* y (- (* y (- (* -1/16 y) 1/8)) 1/4)) 1/2))
1
(+ 1 (* 2 (/ 1 y)))
(+ 1 (+ (* 2 (/ 1 y)) (/ 4 (pow y 2))))
(+ 1 (+ (* 2 (/ 1 y)) (+ (* 8 (/ 1 (pow y 3))) (/ 4 (pow y 2)))))
1
(+ 1 (* 2 (/ 1 y)))
(+ 1 (+ (* 2 (/ 1 y)) (/ 4 (pow y 2))))
(+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (* 8 (/ 1 y))) y)) 2) y)))
-2
(- y 2)
(- y 2)
(- y 2)
y
(* y (- 1 (* 2 (/ 1 y))))
(* y (- 1 (* 2 (/ 1 y))))
(* y (- 1 (* 2 (/ 1 y))))
y
(* -1 (* y (- (* 2 (/ 1 y)) 1)))
(* -1 (* y (- (* 2 (/ 1 y)) 1)))
(* -1 (* y (- (* 2 (/ 1 y)) 1)))
1
(+ 1 (* -1 (/ x y)))
(+ 1 (* -1 (/ x y)))
(+ 1 (* -1 (/ x y)))
(* -1 (/ x y))
(* x (- (/ 1 x) (/ 1 y)))
(* x (- (/ 1 x) (/ 1 y)))
(* x (- (/ 1 x) (/ 1 y)))
(* -1 (/ x y))
(* -1 (* x (- (/ 1 y) (/ 1 x))))
(* -1 (* x (- (/ 1 y) (/ 1 x))))
(* -1 (* x (- (/ 1 y) (/ 1 x))))
(* -1 (/ x y))
(/ (+ y (* -1 x)) y)
(/ (+ y (* -1 x)) y)
(/ (+ y (* -1 x)) y)
1
(+ 1 (* -1 (/ x y)))
(+ 1 (* -1 (/ x y)))
(+ 1 (* -1 (/ x y)))
1
(+ 1 (* -1 (/ x y)))
(+ 1 (* -1 (/ x y)))
(+ 1 (* -1 (/ x y)))
(* -1 y)
(- x y)
(- x y)
(- x y)
x
(* x (+ 1 (* -1 (/ y x))))
(* x (+ 1 (* -1 (/ y x))))
(* x (+ 1 (* -1 (/ y x))))
x
(* -1 (* x (- (/ y x) 1)))
(* -1 (* x (- (/ y x) 1)))
(* -1 (* x (- (/ y x) 1)))
x
(+ x (* -1 y))
(+ x (* -1 y))
(+ x (* -1 y))
(* -1 y)
(* y (- (/ x y) 1))
(* y (- (/ x y) 1))
(* y (- (/ x y) 1))
(* -1 y)
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
Outputs
(* -1 (/ y (- 2 y)))
(/.f64 y (+.f64 y #s(literal -2 binary64)))
(+ (* -1 (/ y (- 2 y))) (* x (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2)))))
(fma.f64 x (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) y)) (/.f64 y (*.f64 (-.f64 #s(literal 2 binary64) y) (-.f64 #s(literal 2 binary64) y)))) (/.f64 y (+.f64 y #s(literal -2 binary64))))
(+ (* -1 (/ y (- 2 y))) (* x (- (+ (/ 1 (- 2 y)) (/ (* x (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2)))) (- 2 y))) (/ y (pow (- 2 y) 2)))))
(fma.f64 x (-.f64 (fma.f64 x (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) y)) (/.f64 y (*.f64 (-.f64 #s(literal 2 binary64) y) (-.f64 #s(literal 2 binary64) y)))) (-.f64 #s(literal 2 binary64) y)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) y))) (/.f64 y (*.f64 (-.f64 #s(literal 2 binary64) y) (-.f64 #s(literal 2 binary64) y)))) (/.f64 y (+.f64 y #s(literal -2 binary64))))
(+ (* -1 (/ y (- 2 y))) (* x (- (+ (* x (- (/ (* x (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2)))) (pow (- 2 y) 2)) (* -1 (/ (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2))) (- 2 y))))) (/ 1 (- 2 y))) (/ y (pow (- 2 y) 2)))))
(fma.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) y)) (fma.f64 x (fma.f64 x (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) y)) (/.f64 y (*.f64 (-.f64 #s(literal 2 binary64) y) (-.f64 #s(literal 2 binary64) y)))) (*.f64 (-.f64 #s(literal 2 binary64) y) (-.f64 #s(literal 2 binary64) y))) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) y)) (/.f64 y (*.f64 (-.f64 #s(literal 2 binary64) y) (-.f64 #s(literal 2 binary64) y)))) (-.f64 #s(literal 2 binary64) y))) (/.f64 y (*.f64 (-.f64 #s(literal 2 binary64) y) (+.f64 y #s(literal -2 binary64)))))) (/.f64 y (+.f64 y #s(literal -2 binary64))))
-1
#s(literal -1 binary64)
(- (* 2 (/ y x)) (+ 1 (* 2 (/ 1 x))))
(+.f64 (/.f64 (fma.f64 y #s(literal 2 binary64) #s(literal -2 binary64)) x) #s(literal -1 binary64))
(- (+ (* 2 (/ y x)) (/ (* (- 2 y) (- (* 2 y) 2)) (pow x 2))) (+ 1 (* 2 (/ 1 x))))
(fma.f64 (-.f64 #s(literal 2 binary64) y) (/.f64 (fma.f64 y #s(literal 2 binary64) #s(literal -2 binary64)) (*.f64 x x)) (+.f64 (/.f64 (fma.f64 y #s(literal 2 binary64) #s(literal -2 binary64)) x) #s(literal -1 binary64)))
(- (+ (* 2 (/ y x)) (/ (* (pow (- 2 y) 2) (- (* 2 y) 2)) (pow x 3))) (+ 1 (+ (* -1 (/ (* (- 2 y) (- (* 2 y) 2)) (pow x 2))) (* 2 (/ 1 x)))))
(fma.f64 (-.f64 #s(literal 2 binary64) y) (*.f64 (-.f64 #s(literal 2 binary64) y) (/.f64 (fma.f64 y #s(literal 2 binary64) #s(literal -2 binary64)) (*.f64 x (*.f64 x x)))) (fma.f64 (-.f64 #s(literal 2 binary64) y) (/.f64 (fma.f64 y #s(literal 2 binary64) #s(literal -2 binary64)) (*.f64 x x)) (+.f64 (/.f64 (fma.f64 y #s(literal 2 binary64) #s(literal -2 binary64)) x) #s(literal -1 binary64))))
-1
#s(literal -1 binary64)
(- (* 2 (/ y x)) (+ 1 (* 2 (/ 1 x))))
(+.f64 (/.f64 (fma.f64 y #s(literal 2 binary64) #s(literal -2 binary64)) x) #s(literal -1 binary64))
(- (* -1 (/ (+ (* -1 (- (* 2 y) 2)) (* -1 (/ (* (- 2 y) (- (* 2 y) 2)) x))) x)) 1)
(+.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (-.f64 #s(literal 2 binary64) y) (/.f64 (fma.f64 y #s(literal 2 binary64) #s(literal -2 binary64)) x) (fma.f64 y #s(literal 2 binary64) #s(literal -2 binary64))) x))
(- (* -1 (/ (+ (* -1 (- (* 2 y) 2)) (* -1 (/ (+ (* (- 2 y) (- (* 2 y) 2)) (/ (* (pow (- 2 y) 2) (- (* 2 y) 2)) x)) x))) x)) 1)
(+.f64 #s(literal -1 binary64) (/.f64 (+.f64 (fma.f64 y #s(literal 2 binary64) #s(literal -2 binary64)) (/.f64 (fma.f64 (-.f64 #s(literal 2 binary64) y) (fma.f64 y #s(literal 2 binary64) #s(literal -2 binary64)) (*.f64 (-.f64 #s(literal 2 binary64) y) (*.f64 (-.f64 #s(literal 2 binary64) y) (/.f64 (fma.f64 y #s(literal 2 binary64) #s(literal -2 binary64)) x)))) x)) x))
(/ x (- 2 x))
(/.f64 x (-.f64 #s(literal 2 binary64) x))
(+ (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x)))
(-.f64 (/.f64 x (-.f64 #s(literal 2 binary64) x)) (fma.f64 y (/.f64 x (*.f64 (-.f64 #s(literal 2 binary64) x) (+.f64 x #s(literal -2 binary64)))) (/.f64 y (-.f64 #s(literal 2 binary64) x))))
(+ (* y (- (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 3))) (/ 1 (pow (- 2 x) 2))))) (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x)))
(fma.f64 y (-.f64 (fma.f64 y (/.f64 x (*.f64 (-.f64 #s(literal 2 binary64) x) (*.f64 (-.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 2 binary64) x)))) (/.f64 y (*.f64 (-.f64 #s(literal 2 binary64) x) (+.f64 x #s(literal -2 binary64))))) (+.f64 (/.f64 x (*.f64 (-.f64 #s(literal 2 binary64) x) (+.f64 x #s(literal -2 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) x)))) (/.f64 x (-.f64 #s(literal 2 binary64) x)))
(+ (* y (- (* y (- (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 4))) (/ 1 (pow (- 2 x) 3))))) (+ (* -1 (/ x (pow (- 2 x) 3))) (/ 1 (pow (- 2 x) 2))))) (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x)))
(+.f64 (/.f64 x (-.f64 #s(literal 2 binary64) x)) (fma.f64 y (+.f64 (fma.f64 y (+.f64 (fma.f64 y (/.f64 x (pow.f64 (-.f64 #s(literal 2 binary64) x) #s(literal 4 binary64))) (/.f64 y (*.f64 (-.f64 #s(literal 2 binary64) x) (*.f64 (-.f64 #s(literal 2 binary64) x) (+.f64 x #s(literal -2 binary64)))))) (/.f64 x (*.f64 (-.f64 #s(literal 2 binary64) x) (*.f64 (-.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 2 binary64) x))))) (/.f64 y (*.f64 (-.f64 #s(literal 2 binary64) x) (+.f64 x #s(literal -2 binary64))))) (/.f64 x (*.f64 (-.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 2 binary64) x)))) (/.f64 y (+.f64 x #s(literal -2 binary64)))))
1
#s(literal 1 binary64)
(- (+ 1 (* -1 (/ x y))) (* -1 (/ (- 2 x) y)))
(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (-.f64 #s(literal 2 binary64) x) x) y))
(- (+ 1 (+ (* -1 (/ x y)) (/ (* (- 2 x) (- (* -1 x) (* -1 (- 2 x)))) (pow y 2)))) (* -1 (/ (- 2 x) y)))
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(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)

eval264.0ms (3%)

Memory
-36.7MiB live, 233.4MiB allocated
Compiler

Compiled 23 413 to 2 632 computations (88.8% saved)

prune128.0ms (1.4%)

Memory
35.9MiB live, 393.0MiB allocated
Pruning

18 alts after pruning (10 fresh and 8 done)

PrunedKeptTotal
New1 08961 095
Fresh347
Picked145
Done044
Total1 093181 111
Accuracy
100.0%
Counts
1 111 → 18
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶35.5%
(/.f64 (-.f64 y x) y)
36.1%
(/.f64 (-.f64 y x) x)
✓100.0%
(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y)))
▶65.0%
(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) y))
✓50.7%
(/.f64 y (+.f64 y #s(literal -2 binary64)))
✓50.7%
(/.f64 x (-.f64 #s(literal 2 binary64) (+.f64 x y)))
✓50.5%
(/.f64 x (-.f64 #s(literal 2 binary64) x))
50.6%
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 y #s(literal -2 binary64)) y))
35.4%
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) y))
▶36.2%
(+.f64 (/.f64 (fma.f64 y #s(literal 2 binary64) #s(literal -2 binary64)) x) #s(literal -1 binary64))
✓99.8%
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (+.f64 x y))) (-.f64 x y))
35.4%
(*.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 y x))
▶17.3%
(*.f64 y (fma.f64 y #s(literal -1/4 binary64) #s(literal -1/2 binary64)))
17.5%
(*.f64 y #s(literal -1/2 binary64))
✓16.4%
(*.f64 x (fma.f64 x #s(literal 1/4 binary64) #s(literal 1/2 binary64)))
▶16.8%
(*.f64 x #s(literal 1/2 binary64))
✓35.4%
#s(literal 1 binary64)
✓35.8%
#s(literal -1 binary64)
Compiler

Compiled 219 to 158 computations (27.9% saved)

simplify128.0ms (1.4%)

Memory
-46.4MiB live, 168.5MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 11 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(fma.f64 y #s(literal 2 binary64) #s(literal -2 binary64))
✓cost-diff0
(/.f64 (fma.f64 y #s(literal 2 binary64) #s(literal -2 binary64)) x)
✓cost-diff0
(+.f64 (/.f64 (fma.f64 y #s(literal 2 binary64) #s(literal -2 binary64)) x) #s(literal -1 binary64))
✓cost-diff0
(-.f64 y x)
✓cost-diff0
(/.f64 (-.f64 y x) y)
✓cost-diff0
(fma.f64 y #s(literal -1/4 binary64) #s(literal -1/2 binary64))
✓cost-diff0
(*.f64 y (fma.f64 y #s(literal -1/4 binary64) #s(literal -1/2 binary64)))
✓cost-diff0
(*.f64 x #s(literal 1/2 binary64))
✓cost-diff0
(-.f64 #s(literal 2 binary64) y)
✓cost-diff0
(-.f64 x y)
✓cost-diff0
(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) y))
Rules
1 576×accelerator-lowering-fma.f32
1 576×accelerator-lowering-fma.f64
840×*-lowering-*.f32
840×*-lowering-*.f64
644×times-frac
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02172
14572
26572
39072
415072
530272
670572
7143072
8162172
9196972
10242172
11282972
12289972
13294272
14295872
15295872
0295867
Stop Event
1×iter limit
1×saturated
Calls
Call 1
Inputs
(/ (- x y) (- 2 y))
(- x y)
x
y
(- 2 y)
2
(* x 1/2)
x
1/2
(* y (+ (* y -1/4) -1/2))
y
(+ (* y -1/4) -1/2)
-1/4
-1/2
(/ (- y x) y)
(- y x)
y
x
(+ (/ (+ (* y 2) -2) x) -1)
(/ (+ (* y 2) -2) x)
(+ (* y 2) -2)
y
2
-2
x
-1
Outputs
(/ (- x y) (- 2 y))
(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) y))
(- x y)
(-.f64 x y)
x
y
(- 2 y)
(-.f64 #s(literal 2 binary64) y)
2
#s(literal 2 binary64)
(* x 1/2)
(*.f64 x #s(literal 1/2 binary64))
x
1/2
#s(literal 1/2 binary64)
(* y (+ (* y -1/4) -1/2))
(*.f64 y (fma.f64 y #s(literal -1/4 binary64) #s(literal -1/2 binary64)))
y
(+ (* y -1/4) -1/2)
(fma.f64 y #s(literal -1/4 binary64) #s(literal -1/2 binary64))
-1/4
#s(literal -1/4 binary64)
-1/2
#s(literal -1/2 binary64)
(/ (- y x) y)
(-.f64 #s(literal 1 binary64) (/.f64 x y))
(- y x)
(-.f64 y x)
y
x
(+ (/ (+ (* y 2) -2) x) -1)
(fma.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 #s(literal -2 binary64) x) #s(literal -1 binary64))
(/ (+ (* y 2) -2) x)
(/.f64 (fma.f64 y #s(literal 2 binary64) #s(literal -2 binary64)) x)
(+ (* y 2) -2)
(fma.f64 y #s(literal 2 binary64) #s(literal -2 binary64))
y
2
#s(literal 2 binary64)
-2
#s(literal -2 binary64)
x
-1
#s(literal -1 binary64)

localize97.0ms (1.1%)

Memory
1.0MiB live, 120.2MiB allocated
Localize:

Found 11 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(fma.f64 y #s(literal 2 binary64) #s(literal -2 binary64))
✓accuracy100.0%
(+.f64 (/.f64 (fma.f64 y #s(literal 2 binary64) #s(literal -2 binary64)) x) #s(literal -1 binary64))
✓accuracy100.0%
(/.f64 (fma.f64 y #s(literal 2 binary64) #s(literal -2 binary64)) x)
✓accuracy100.0%
(-.f64 y x)
✓accuracy100.0%
(/.f64 (-.f64 y x) y)
✓accuracy100.0%
(fma.f64 y #s(literal -1/4 binary64) #s(literal -1/2 binary64))
✓accuracy100.0%
(*.f64 y (fma.f64 y #s(literal -1/4 binary64) #s(literal -1/2 binary64)))
✓accuracy100.0%
(*.f64 x #s(literal 1/2 binary64))
✓accuracy100.0%
(-.f64 x y)
✓accuracy100.0%
(-.f64 #s(literal 2 binary64) y)
✓accuracy100.0%
(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) y))
Samples
54.0ms255×0valid
0.0ms1×2valid
Compiler

Compiled 69 to 23 computations (66.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 42.0ms
ival-div: 24.0ms (57% of total)
ival-mult: 10.0ms (23.8% of total)
ival-add: 4.0ms (9.5% of total)
ival-sub: 4.0ms (9.5% of total)
exact: 1.0ms (2.4% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series11.0ms (0.1%)

Memory
21.2MiB live, 21.2MiB allocated
Counts
11 → 204
Calls
Call 1
Inputs
#<alt (/ (- x y) (- 2 y))>
#<alt (- x y)>
#<alt (- 2 y)>
#<alt (* x 1/2)>
#<alt (* y (+ (* y -1/4) -1/2))>
#<alt (+ (* y -1/4) -1/2)>
#<alt (/ (- y x) y)>
#<alt (- y x)>
#<alt (+ (/ (+ (* y 2) -2) x) -1)>
#<alt (/ (+ (* y 2) -2) x)>
#<alt (+ (* y 2) -2)>
Outputs
#<alt (* -1 (/ y (- 2 y)))>
#<alt (+ (* -1 (/ y (- 2 y))) (/ x (- 2 y)))>
#<alt (+ (* -1 (/ y (- 2 y))) (/ x (- 2 y)))>
#<alt (+ (* -1 (/ y (- 2 y))) (/ x (- 2 y)))>
#<alt (/ x (- 2 y))>
#<alt (* x (+ (* -1 (/ y (* x (- 2 y)))) (/ 1 (- 2 y))))>
#<alt (* x (+ (* -1 (/ y (* x (- 2 y)))) (/ 1 (- 2 y))))>
#<alt (* x (+ (* -1 (/ y (* x (- 2 y)))) (/ 1 (- 2 y))))>
#<alt (/ x (- 2 y))>
#<alt (* -1 (* x (- (/ y (* x (- 2 y))) (/ 1 (- 2 y)))))>
#<alt (* -1 (* x (- (/ y (* x (- 2 y))) (/ 1 (- 2 y)))))>
#<alt (* -1 (* x (- (/ y (* x (- 2 y))) (/ 1 (- 2 y)))))>
#<alt (* 1/2 x)>
#<alt (+ (* -1 (* y (+ 1/2 (* -1/4 x)))) (* 1/2 x))>
#<alt (+ (* 1/2 x) (* y (- (* -1/2 (* y (+ 1/2 (* -1/4 x)))) (+ 1/2 (* -1/4 x)))))>
#<alt (+ (* 1/2 x) (* y (- (* y (- (* -1/4 (* y (+ 1/2 (* -1/4 x)))) (* 1/2 (+ 1/2 (* -1/4 x))))) (+ 1/2 (* -1/4 x)))))>
#<alt 1>
#<alt (+ 1 (+ (* -1 (/ x y)) (* 2 (/ 1 y))))>
#<alt (+ 1 (+ (* -1 (/ x y)) (+ (* 2 (/ (+ 2 (* -1 x)) (pow y 2))) (* 2 (/ 1 y)))))>
#<alt (- (+ 1 (+ (* -1 (/ x y)) (+ (* 4 (/ (+ 2 (* -1 x)) (pow y 3))) (* 2 (/ 1 y))))) (* -2 (/ (+ 2 (* -1 x)) (pow y 2))))>
#<alt 1>
#<alt (+ 1 (* -1 (/ (- x 2) y)))>
#<alt (+ 1 (* -1 (/ (- (+ x (* 2 (/ (- x 2) y))) 2) y)))>
#<alt (+ 1 (* -1 (/ (- (+ x (* -1 (/ (- (* -4 (/ (- x 2) y)) (* 2 (- x 2))) y))) 2) y)))>
#<alt (* -1 y)>
#<alt (- x y)>
#<alt (- x y)>
#<alt (- x y)>
#<alt x>
#<alt (* x (+ 1 (* -1 (/ y x))))>
#<alt (* x (+ 1 (* -1 (/ y x))))>
#<alt (* x (+ 1 (* -1 (/ y x))))>
#<alt x>
#<alt (* -1 (* x (- (/ y x) 1)))>
#<alt (* -1 (* x (- (/ y x) 1)))>
#<alt (* -1 (* x (- (/ y x) 1)))>
#<alt x>
#<alt (+ x (* -1 y))>
#<alt (+ x (* -1 y))>
#<alt (+ x (* -1 y))>
#<alt (* -1 y)>
#<alt (* y (- (/ x y) 1))>
#<alt (* y (- (/ x y) 1))>
#<alt (* y (- (/ x y) 1))>
#<alt (* -1 y)>
#<alt (* -1 (* y (+ 1 (* -1 (/ x y)))))>
#<alt (* -1 (* y (+ 1 (* -1 (/ x y)))))>
#<alt (* -1 (* y (+ 1 (* -1 (/ x y)))))>
#<alt 2>
#<alt (+ 2 (* -1 y))>
#<alt (+ 2 (* -1 y))>
#<alt (+ 2 (* -1 y))>
#<alt (* -1 y)>
#<alt (* y (- (* 2 (/ 1 y)) 1))>
#<alt (* y (- (* 2 (/ 1 y)) 1))>
#<alt (* y (- (* 2 (/ 1 y)) 1))>
#<alt (* -1 y)>
#<alt (* -1 (* y (- 1 (* 2 (/ 1 y)))))>
#<alt (* -1 (* y (- 1 (* 2 (/ 1 y)))))>
#<alt (* -1 (* y (- 1 (* 2 (/ 1 y)))))>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* -1/2 y)>
#<alt (* y (- (* -1/4 y) 1/2))>
#<alt (* y (- (* -1/4 y) 1/2))>
#<alt (* y (- (* -1/4 y) 1/2))>
#<alt (* -1/4 (pow y 2))>
#<alt (* -1 (* (pow y 2) (+ 1/4 (* 1/2 (/ 1 y)))))>
#<alt (* -1 (* (pow y 2) (+ 1/4 (* 1/2 (/ 1 y)))))>
#<alt (* -1 (* (pow y 2) (+ 1/4 (* 1/2 (/ 1 y)))))>
#<alt (* -1/4 (pow y 2))>
#<alt (* -1 (* (pow y 2) (+ 1/4 (* 1/2 (/ 1 y)))))>
#<alt (* -1 (* (pow y 2) (+ 1/4 (* 1/2 (/ 1 y)))))>
#<alt (* -1 (* (pow y 2) (+ 1/4 (* 1/2 (/ 1 y)))))>
#<alt -1/2>
#<alt (- (* -1/4 y) 1/2)>
#<alt (- (* -1/4 y) 1/2)>
#<alt (- (* -1/4 y) 1/2)>
#<alt (* -1/4 y)>
#<alt (* -1 (* y (+ 1/4 (* 1/2 (/ 1 y)))))>
#<alt (* -1 (* y (+ 1/4 (* 1/2 (/ 1 y)))))>
#<alt (* -1 (* y (+ 1/4 (* 1/2 (/ 1 y)))))>
#<alt (* -1/4 y)>
#<alt (* -1 (* y (+ 1/4 (* 1/2 (/ 1 y)))))>
#<alt (* -1 (* y (+ 1/4 (* 1/2 (/ 1 y)))))>
#<alt (* -1 (* y (+ 1/4 (* 1/2 (/ 1 y)))))>
#<alt (* -1 (/ x y))>
#<alt (/ (+ y (* -1 x)) y)>
#<alt (/ (+ y (* -1 x)) y)>
#<alt (/ (+ y (* -1 x)) y)>
#<alt 1>
#<alt (+ 1 (* -1 (/ x y)))>
#<alt (+ 1 (* -1 (/ x y)))>
#<alt (+ 1 (* -1 (/ x y)))>
#<alt 1>
#<alt (+ 1 (* -1 (/ x y)))>
#<alt (+ 1 (* -1 (/ x y)))>
#<alt (+ 1 (* -1 (/ x y)))>
#<alt 1>
#<alt (+ 1 (* -1 (/ x y)))>
#<alt (+ 1 (* -1 (/ x y)))>
#<alt (+ 1 (* -1 (/ x y)))>
#<alt (* -1 (/ x y))>
#<alt (* x (- (/ 1 x) (/ 1 y)))>
#<alt (* x (- (/ 1 x) (/ 1 y)))>
#<alt (* x (- (/ 1 x) (/ 1 y)))>
#<alt (* -1 (/ x y))>
#<alt (* -1 (* x (- (/ 1 y) (/ 1 x))))>
#<alt (* -1 (* x (- (/ 1 y) (/ 1 x))))>
#<alt (* -1 (* x (- (/ 1 y) (/ 1 x))))>
#<alt (* -1 x)>
#<alt (- y x)>
#<alt (- y x)>
#<alt (- y x)>
#<alt y>
#<alt (* y (+ 1 (* -1 (/ x y))))>
#<alt (* y (+ 1 (* -1 (/ x y))))>
#<alt (* y (+ 1 (* -1 (/ x y))))>
#<alt y>
#<alt (* -1 (* y (- (/ x y) 1)))>
#<alt (* -1 (* y (- (/ x y) 1)))>
#<alt (* -1 (* y (- (/ x y) 1)))>
#<alt y>
#<alt (+ y (* -1 x))>
#<alt (+ y (* -1 x))>
#<alt (+ y (* -1 x))>
#<alt (* -1 x)>
#<alt (* x (- (/ y x) 1))>
#<alt (* x (- (/ y x) 1))>
#<alt (* x (- (/ y x) 1))>
#<alt (* -1 x)>
#<alt (* -1 (* x (+ 1 (* -1 (/ y x)))))>
#<alt (* -1 (* x (+ 1 (* -1 (/ y x)))))>
#<alt (* -1 (* x (+ 1 (* -1 (/ y x)))))>
#<alt (* -1 (+ 1 (* 2 (/ 1 x))))>
#<alt (- (* 2 (/ y x)) (+ 1 (* 2 (/ 1 x))))>
#<alt (- (* 2 (/ y x)) (+ 1 (* 2 (/ 1 x))))>
#<alt (- (* 2 (/ y x)) (+ 1 (* 2 (/ 1 x))))>
#<alt (* 2 (/ y x))>
#<alt (* y (+ (* -1 (/ (+ 1 (* 2 (/ 1 x))) y)) (* 2 (/ 1 x))))>
#<alt (* y (+ (* -1 (/ (+ 1 (* 2 (/ 1 x))) y)) (* 2 (/ 1 x))))>
#<alt (* y (+ (* -1 (/ (+ 1 (* 2 (/ 1 x))) y)) (* 2 (/ 1 x))))>
#<alt (* 2 (/ y x))>
#<alt (* -1 (* y (- (+ (/ 1 y) (/ 2 (* x y))) (* 2 (/ 1 x)))))>
#<alt (* -1 (* y (- (+ (/ 1 y) (/ 2 (* x y))) (* 2 (/ 1 x)))))>
#<alt (* -1 (* y (- (+ (/ 1 y) (/ 2 (* x y))) (* 2 (/ 1 x)))))>
#<alt (/ (- (* 2 y) 2) x)>
#<alt (/ (- (+ (* -1 x) (* 2 y)) 2) x)>
#<alt (/ (- (+ (* -1 x) (* 2 y)) 2) x)>
#<alt (/ (- (+ (* -1 x) (* 2 y)) 2) x)>
#<alt -1>
#<alt (- (* 2 (/ y x)) (+ 1 (* 2 (/ 1 x))))>
#<alt (- (* 2 (/ y x)) (+ 1 (* 2 (/ 1 x))))>
#<alt (- (* 2 (/ y x)) (+ 1 (* 2 (/ 1 x))))>
#<alt -1>
#<alt (- (* 2 (/ y x)) (+ 1 (* 2 (/ 1 x))))>
#<alt (- (* 2 (/ y x)) (+ 1 (* 2 (/ 1 x))))>
#<alt (- (* 2 (/ y x)) (+ 1 (* 2 (/ 1 x))))>
#<alt (/ -2 x)>
#<alt (- (* 2 (/ y x)) (* 2 (/ 1 x)))>
#<alt (- (* 2 (/ y x)) (* 2 (/ 1 x)))>
#<alt (- (* 2 (/ y x)) (* 2 (/ 1 x)))>
#<alt (* 2 (/ y x))>
#<alt (* y (- (* 2 (/ 1 x)) (* 2 (/ 1 (* x y)))))>
#<alt (* y (- (* 2 (/ 1 x)) (* 2 (/ 1 (* x y)))))>
#<alt (* y (- (* 2 (/ 1 x)) (* 2 (/ 1 (* x y)))))>
#<alt (* 2 (/ y x))>
#<alt (* -1 (* y (- (* 2 (/ 1 (* x y))) (* 2 (/ 1 x)))))>
#<alt (* -1 (* y (- (* 2 (/ 1 (* x y))) (* 2 (/ 1 x)))))>
#<alt (* -1 (* y (- (* 2 (/ 1 (* x y))) (* 2 (/ 1 x)))))>
#<alt (/ (- (* 2 y) 2) x)>
#<alt (/ (- (* 2 y) 2) x)>
#<alt (/ (- (* 2 y) 2) x)>
#<alt (/ (- (* 2 y) 2) x)>
#<alt (/ (- (* 2 y) 2) x)>
#<alt (/ (- (* 2 y) 2) x)>
#<alt (/ (- (* 2 y) 2) x)>
#<alt (/ (- (* 2 y) 2) x)>
#<alt (/ (- (* 2 y) 2) x)>
#<alt (/ (- (* 2 y) 2) x)>
#<alt (/ (- (* 2 y) 2) x)>
#<alt (/ (- (* 2 y) 2) x)>
#<alt -2>
#<alt (- (* 2 y) 2)>
#<alt (- (* 2 y) 2)>
#<alt (- (* 2 y) 2)>
#<alt (* 2 y)>
#<alt (* y (- 2 (* 2 (/ 1 y))))>
#<alt (* y (- 2 (* 2 (/ 1 y))))>
#<alt (* y (- 2 (* 2 (/ 1 y))))>
#<alt (* 2 y)>
#<alt (* -1 (* y (- (* 2 (/ 1 y)) 2)))>
#<alt (* -1 (* y (- (* 2 (/ 1 y)) 2)))>
#<alt (* -1 (* y (- (* 2 (/ 1 y)) 2)))>
Calls

51 calls:

TimeVariablePointExpression
1.0ms
y
@-inf
(+ (/ (+ (* y 2) -2) x) -1)
1.0ms
y
@0
(+ (/ (+ (* y 2) -2) x) -1)
0.0ms
y
@0
(* y (+ (* y -1/4) -1/2))
0.0ms
x
@-inf
(/ (- x y) (- 2 y))
0.0ms
y
@inf
(+ (/ (+ (* y 2) -2) x) -1)

rewrite742.0ms (8.4%)

Memory
12.3MiB live, 601.7MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
6 166×accelerator-lowering-fma.f32
6 166×accelerator-lowering-fma.f64
4 276×*-lowering-*.f32
4 276×*-lowering-*.f64
4 054×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02157
113757
2109357
0866852
Stop Event
1×iter limit
1×node limit
Counts
11 → 644
Calls
Call 1
Inputs
(/ (- x y) (- 2 y))
(- x y)
(- 2 y)
(* x 1/2)
(* y (+ (* y -1/4) -1/2))
(+ (* y -1/4) -1/2)
(/ (- y x) y)
(- y x)
(+ (/ (+ (* y 2) -2) x) -1)
(/ (+ (* y 2) -2) x)
(+ (* y 2) -2)
Outputs
(+.f64 (/.f64 x (-.f64 #s(literal 2 binary64) y)) (/.f64 y (+.f64 y #s(literal -2 binary64))))
(+.f64 (/.f64 x (-.f64 #s(literal 2 binary64) y)) (*.f64 #s(literal 1 binary64) (/.f64 y (+.f64 y #s(literal -2 binary64)))))
(+.f64 (/.f64 y (+.f64 y #s(literal -2 binary64))) (/.f64 x (-.f64 #s(literal 2 binary64) y)))
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) y)) x) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) y)) (neg.f64 y)))
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) y)) (neg.f64 y)) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) y)) x))
(+.f64 (*.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 8 binary64) (*.f64 y (*.f64 y y)))) #s(literal 4 binary64)) (*.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 8 binary64) (*.f64 y (*.f64 y y)))) (*.f64 y (+.f64 y #s(literal 2 binary64)))))
(+.f64 (*.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 8 binary64) (*.f64 y (*.f64 y y)))) (*.f64 y (+.f64 y #s(literal 2 binary64)))) (*.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 8 binary64) (*.f64 y (*.f64 y y)))) #s(literal 4 binary64)))
(+.f64 (*.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 8 binary64) (*.f64 y (*.f64 y y)))) (+.f64 #s(literal 4 binary64) (*.f64 y y))) (*.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 8 binary64) (*.f64 y (*.f64 y y)))) (*.f64 y #s(literal 2 binary64))))
(+.f64 (*.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 4 binary64) (*.f64 y y))) y) (*.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 4 binary64) (*.f64 y y))) #s(literal 2 binary64)))
(+.f64 (*.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 4 binary64) (*.f64 y y))) #s(literal 2 binary64)) (*.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 4 binary64) (*.f64 y y))) y))
(+.f64 (*.f64 (/.f64 x (-.f64 #s(literal 2 binary64) y)) #s(literal 1 binary64)) (*.f64 (/.f64 y (+.f64 y #s(literal -2 binary64))) #s(literal 1 binary64)))
(+.f64 (*.f64 #s(literal 4 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 8 binary64) (*.f64 y (*.f64 y y))))) (*.f64 (*.f64 y (+.f64 y #s(literal 2 binary64))) (/.f64 (-.f64 x y) (-.f64 #s(literal 8 binary64) (*.f64 y (*.f64 y y))))))
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(+.f64 (*.f64 (*.f64 y #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal -2 binary64))
(-.f64 #s(literal 0 binary64) (fma.f64 y #s(literal -2 binary64) #s(literal 2 binary64)))
(-.f64 (/.f64 (*.f64 #s(literal 4 binary64) (*.f64 y y)) (fma.f64 y #s(literal 2 binary64) #s(literal 2 binary64))) (/.f64 #s(literal 4 binary64) (fma.f64 y #s(literal 2 binary64) #s(literal 2 binary64))))
(-.f64 (/.f64 #s(literal 4 binary64) (+.f64 #s(literal -2 binary64) (*.f64 y #s(literal -2 binary64)))) (/.f64 (*.f64 #s(literal 4 binary64) (*.f64 y y)) (+.f64 #s(literal -2 binary64) (*.f64 y #s(literal -2 binary64)))))
(fma.f64 y #s(literal 2 binary64) #s(literal -2 binary64))
(fma.f64 #s(literal 2 binary64) y #s(literal -2 binary64))
(fma.f64 (*.f64 y #s(literal 2 binary64)) #s(literal 1 binary64) #s(literal -2 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 y #s(literal 2 binary64)) #s(literal -2 binary64))
(fma.f64 (*.f64 #s(literal 4 binary64) (*.f64 y y)) (/.f64 #s(literal -1 binary64) (fma.f64 y #s(literal -2 binary64) #s(literal -2 binary64))) (neg.f64 (/.f64 #s(literal 4 binary64) (fma.f64 y #s(literal 2 binary64) #s(literal 2 binary64)))))
(neg.f64 (fma.f64 y #s(literal -2 binary64) #s(literal 2 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal -1 binary64) (fma.f64 y #s(literal -2 binary64) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 y #s(literal -2 binary64) #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 y #s(literal -2 binary64) #s(literal 2 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 4 binary64) (*.f64 y (-.f64 (*.f64 y #s(literal 4 binary64)) #s(literal -4 binary64)))) (fma.f64 #s(literal 8 binary64) (*.f64 y (*.f64 y y)) #s(literal -8 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -2 binary64) (*.f64 y #s(literal -2 binary64))) (+.f64 #s(literal 4 binary64) (*.f64 #s(literal -4 binary64) (*.f64 y y)))))
(/.f64 (fma.f64 #s(literal 8 binary64) (*.f64 y (*.f64 y y)) #s(literal -8 binary64)) (fma.f64 (fma.f64 y y #s(literal 1 binary64)) #s(literal 4 binary64) (*.f64 y #s(literal 4 binary64))))
(/.f64 (fma.f64 #s(literal 8 binary64) (*.f64 y (*.f64 y y)) #s(literal -8 binary64)) (+.f64 #s(literal 4 binary64) (*.f64 y (-.f64 (*.f64 y #s(literal 4 binary64)) #s(literal -4 binary64)))))
(/.f64 (fma.f64 #s(literal 8 binary64) (*.f64 y (*.f64 y y)) #s(literal -8 binary64)) (neg.f64 (neg.f64 (fma.f64 (fma.f64 y y #s(literal 1 binary64)) #s(literal 4 binary64) (*.f64 y #s(literal 4 binary64))))))
(/.f64 (fma.f64 #s(literal 4 binary64) (*.f64 y y) #s(literal -4 binary64)) (fma.f64 y #s(literal 2 binary64) #s(literal 2 binary64)))
(/.f64 (fma.f64 #s(literal 4 binary64) (*.f64 y y) #s(literal -4 binary64)) (neg.f64 (fma.f64 y #s(literal -2 binary64) #s(literal -2 binary64))))
(/.f64 (neg.f64 (fma.f64 #s(literal 8 binary64) (*.f64 y (*.f64 y y)) #s(literal -8 binary64))) (neg.f64 (fma.f64 (fma.f64 y y #s(literal 1 binary64)) #s(literal 4 binary64) (*.f64 y #s(literal 4 binary64)))))
(/.f64 (neg.f64 (fma.f64 #s(literal 8 binary64) (*.f64 y (*.f64 y y)) #s(literal -8 binary64))) (neg.f64 (+.f64 #s(literal 4 binary64) (*.f64 y (-.f64 (*.f64 y #s(literal 4 binary64)) #s(literal -4 binary64))))))
(/.f64 (neg.f64 (fma.f64 #s(literal 4 binary64) (*.f64 y y) #s(literal -4 binary64))) (fma.f64 y #s(literal -2 binary64) #s(literal -2 binary64)))
(/.f64 (+.f64 #s(literal 4 binary64) (*.f64 #s(literal -4 binary64) (*.f64 y y))) (+.f64 #s(literal -2 binary64) (*.f64 y #s(literal -2 binary64))))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 4 binary64) (*.f64 y y)) (fma.f64 y #s(literal 2 binary64) #s(literal 2 binary64))) (*.f64 (fma.f64 y #s(literal 2 binary64) #s(literal 2 binary64)) #s(literal 4 binary64))) (*.f64 (fma.f64 y #s(literal 2 binary64) #s(literal 2 binary64)) (fma.f64 y #s(literal 2 binary64) #s(literal 2 binary64))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 8 binary64) (*.f64 y (*.f64 y y)) #s(literal -8 binary64)))) (fma.f64 (fma.f64 y y #s(literal 1 binary64)) #s(literal 4 binary64) (*.f64 y #s(literal 4 binary64))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 8 binary64) (*.f64 y (*.f64 y y)) #s(literal -8 binary64)))) (neg.f64 (neg.f64 (fma.f64 (fma.f64 y y #s(literal 1 binary64)) #s(literal 4 binary64) (*.f64 y #s(literal 4 binary64))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 4 binary64) (*.f64 y y) #s(literal -4 binary64)))) (fma.f64 y #s(literal 2 binary64) #s(literal 2 binary64)))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 4 binary64) (*.f64 y y) #s(literal -4 binary64)))) (neg.f64 (fma.f64 y #s(literal -2 binary64) #s(literal -2 binary64))))
(/.f64 (neg.f64 (+.f64 #s(literal 4 binary64) (*.f64 #s(literal -4 binary64) (*.f64 y y)))) (neg.f64 (+.f64 #s(literal -2 binary64) (*.f64 y #s(literal -2 binary64)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 #s(literal 4 binary64) (*.f64 y y)) (fma.f64 y #s(literal 2 binary64) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 4 binary64) (fma.f64 y #s(literal 2 binary64) #s(literal 2 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 #s(literal 4 binary64) (*.f64 y y)) (fma.f64 y #s(literal 2 binary64) #s(literal 2 binary64))) (/.f64 (*.f64 #s(literal 4 binary64) (*.f64 y y)) (fma.f64 y #s(literal 2 binary64) #s(literal 2 binary64))) (fma.f64 (/.f64 #s(literal 4 binary64) (fma.f64 y #s(literal 2 binary64) #s(literal 2 binary64))) (/.f64 #s(literal 4 binary64) (fma.f64 y #s(literal 2 binary64) #s(literal 2 binary64))) (*.f64 (/.f64 (*.f64 #s(literal 4 binary64) (*.f64 y y)) (fma.f64 y #s(literal 2 binary64) #s(literal 2 binary64))) (/.f64 #s(literal 4 binary64) (fma.f64 y #s(literal 2 binary64) #s(literal 2 binary64)))))))
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 #s(literal 4 binary64) (*.f64 y y)) (fma.f64 y #s(literal 2 binary64) #s(literal 2 binary64))) (/.f64 (*.f64 #s(literal 4 binary64) (*.f64 y y)) (fma.f64 y #s(literal 2 binary64) #s(literal 2 binary64)))) (*.f64 (/.f64 #s(literal 4 binary64) (fma.f64 y #s(literal 2 binary64) #s(literal 2 binary64))) (/.f64 #s(literal 4 binary64) (fma.f64 y #s(literal 2 binary64) #s(literal 2 binary64))))) (+.f64 (/.f64 (*.f64 #s(literal 4 binary64) (*.f64 y y)) (fma.f64 y #s(literal 2 binary64) #s(literal 2 binary64))) (/.f64 #s(literal 4 binary64) (fma.f64 y #s(literal 2 binary64) #s(literal 2 binary64)))))
(pow.f64 (/.f64 #s(literal -1 binary64) (fma.f64 y #s(literal -2 binary64) #s(literal 2 binary64))) #s(literal -1 binary64))
(*.f64 (fma.f64 y #s(literal 2 binary64) #s(literal -2 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (fma.f64 y #s(literal -2 binary64) #s(literal 2 binary64)))
(*.f64 #s(literal 1 binary64) (fma.f64 y #s(literal 2 binary64) #s(literal -2 binary64)))
(*.f64 (fma.f64 #s(literal 8 binary64) (*.f64 y (*.f64 y y)) #s(literal -8 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 y y #s(literal 1 binary64)) #s(literal 4 binary64) (*.f64 y #s(literal 4 binary64)))))
(*.f64 (fma.f64 #s(literal 8 binary64) (*.f64 y (*.f64 y y)) #s(literal -8 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 4 binary64) (*.f64 y (-.f64 (*.f64 y #s(literal 4 binary64)) #s(literal -4 binary64))))))
(*.f64 (fma.f64 #s(literal 4 binary64) (*.f64 y y) #s(literal -4 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 y #s(literal -2 binary64) #s(literal -2 binary64))))
(*.f64 (neg.f64 (fma.f64 #s(literal 8 binary64) (*.f64 y (*.f64 y y)) #s(literal -8 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (fma.f64 y y #s(literal 1 binary64)) #s(literal 4 binary64) (*.f64 y #s(literal 4 binary64))))))
(*.f64 (neg.f64 (fma.f64 #s(literal 4 binary64) (*.f64 y y) #s(literal -4 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal -2 binary64) #s(literal -2 binary64))))
(*.f64 (+.f64 #s(literal 4 binary64) (*.f64 #s(literal -4 binary64) (*.f64 y y))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -2 binary64) (*.f64 y #s(literal -2 binary64)))))
(*.f64 (*.f64 #s(literal 1 binary64) (fma.f64 #s(literal 8 binary64) (*.f64 y (*.f64 y y)) #s(literal -8 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 y y #s(literal 1 binary64)) #s(literal 4 binary64) (*.f64 y #s(literal 4 binary64)))))
(*.f64 (*.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (*.f64 y y) #s(literal -4 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 y #s(literal -2 binary64) #s(literal -2 binary64))))

simplify356.0ms (4%)

Memory
-11.8MiB live, 542.6MiB allocated
Algorithm
1×egg-herbie
Rules
12 344×accelerator-lowering-fma.f32
12 344×accelerator-lowering-fma.f64
4 362×*-lowering-*.f32
4 362×*-lowering-*.f64
2 892×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01641174
14971109
214771091
344771055
08183976
Stop Event
1×iter limit
1×node limit
Counts
204 → 204
Calls
Call 1
Inputs
(* -1 (/ y (- 2 y)))
(+ (* -1 (/ y (- 2 y))) (/ x (- 2 y)))
(+ (* -1 (/ y (- 2 y))) (/ x (- 2 y)))
(+ (* -1 (/ y (- 2 y))) (/ x (- 2 y)))
(/ x (- 2 y))
(* x (+ (* -1 (/ y (* x (- 2 y)))) (/ 1 (- 2 y))))
(* x (+ (* -1 (/ y (* x (- 2 y)))) (/ 1 (- 2 y))))
(* x (+ (* -1 (/ y (* x (- 2 y)))) (/ 1 (- 2 y))))
(/ x (- 2 y))
(* -1 (* x (- (/ y (* x (- 2 y))) (/ 1 (- 2 y)))))
(* -1 (* x (- (/ y (* x (- 2 y))) (/ 1 (- 2 y)))))
(* -1 (* x (- (/ y (* x (- 2 y))) (/ 1 (- 2 y)))))
(* 1/2 x)
(+ (* -1 (* y (+ 1/2 (* -1/4 x)))) (* 1/2 x))
(+ (* 1/2 x) (* y (- (* -1/2 (* y (+ 1/2 (* -1/4 x)))) (+ 1/2 (* -1/4 x)))))
(+ (* 1/2 x) (* y (- (* y (- (* -1/4 (* y (+ 1/2 (* -1/4 x)))) (* 1/2 (+ 1/2 (* -1/4 x))))) (+ 1/2 (* -1/4 x)))))
1
(+ 1 (+ (* -1 (/ x y)) (* 2 (/ 1 y))))
(+ 1 (+ (* -1 (/ x y)) (+ (* 2 (/ (+ 2 (* -1 x)) (pow y 2))) (* 2 (/ 1 y)))))
(- (+ 1 (+ (* -1 (/ x y)) (+ (* 4 (/ (+ 2 (* -1 x)) (pow y 3))) (* 2 (/ 1 y))))) (* -2 (/ (+ 2 (* -1 x)) (pow y 2))))
1
(+ 1 (* -1 (/ (- x 2) y)))
(+ 1 (* -1 (/ (- (+ x (* 2 (/ (- x 2) y))) 2) y)))
(+ 1 (* -1 (/ (- (+ x (* -1 (/ (- (* -4 (/ (- x 2) y)) (* 2 (- x 2))) y))) 2) y)))
(* -1 y)
(- x y)
(- x y)
(- x y)
x
(* x (+ 1 (* -1 (/ y x))))
(* x (+ 1 (* -1 (/ y x))))
(* x (+ 1 (* -1 (/ y x))))
x
(* -1 (* x (- (/ y x) 1)))
(* -1 (* x (- (/ y x) 1)))
(* -1 (* x (- (/ y x) 1)))
x
(+ x (* -1 y))
(+ x (* -1 y))
(+ x (* -1 y))
(* -1 y)
(* y (- (/ x y) 1))
(* y (- (/ x y) 1))
(* y (- (/ x y) 1))
(* -1 y)
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(* -1 (* y (+ 1 (* -1 (/ x y)))))
2
(+ 2 (* -1 y))
(+ 2 (* -1 y))
(+ 2 (* -1 y))
(* -1 y)
(* y (- (* 2 (/ 1 y)) 1))
(* y (- (* 2 (/ 1 y)) 1))
(* y (- (* 2 (/ 1 y)) 1))
(* -1 y)
(* -1 (* y (- 1 (* 2 (/ 1 y)))))
(* -1 (* y (- 1 (* 2 (/ 1 y)))))
(* -1 (* y (- 1 (* 2 (/ 1 y)))))
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* -1/2 y)
(* y (- (* -1/4 y) 1/2))
(* y (- (* -1/4 y) 1/2))
(* y (- (* -1/4 y) 1/2))
(* -1/4 (pow y 2))
(* -1 (* (pow y 2) (+ 1/4 (* 1/2 (/ 1 y)))))
(* -1 (* (pow y 2) (+ 1/4 (* 1/2 (/ 1 y)))))
(* -1 (* (pow y 2) (+ 1/4 (* 1/2 (/ 1 y)))))
(* -1/4 (pow y 2))
(* -1 (* (pow y 2) (+ 1/4 (* 1/2 (/ 1 y)))))
(* -1 (* (pow y 2) (+ 1/4 (* 1/2 (/ 1 y)))))
(* -1 (* (pow y 2) (+ 1/4 (* 1/2 (/ 1 y)))))
-1/2
(- (* -1/4 y) 1/2)
(- (* -1/4 y) 1/2)
(- (* -1/4 y) 1/2)
(* -1/4 y)
(* -1 (* y (+ 1/4 (* 1/2 (/ 1 y)))))
(* -1 (* y (+ 1/4 (* 1/2 (/ 1 y)))))
(* -1 (* y (+ 1/4 (* 1/2 (/ 1 y)))))
(* -1/4 y)
(* -1 (* y (+ 1/4 (* 1/2 (/ 1 y)))))
(* -1 (* y (+ 1/4 (* 1/2 (/ 1 y)))))
(* -1 (* y (+ 1/4 (* 1/2 (/ 1 y)))))
(* -1 (/ x y))
(/ (+ y (* -1 x)) y)
(/ (+ y (* -1 x)) y)
(/ (+ y (* -1 x)) y)
1
(+ 1 (* -1 (/ x y)))
(+ 1 (* -1 (/ x y)))
(+ 1 (* -1 (/ x y)))
1
(+ 1 (* -1 (/ x y)))
(+ 1 (* -1 (/ x y)))
(+ 1 (* -1 (/ x y)))
1
(+ 1 (* -1 (/ x y)))
(+ 1 (* -1 (/ x y)))
(+ 1 (* -1 (/ x y)))
(* -1 (/ x y))
(* x (- (/ 1 x) (/ 1 y)))
(* x (- (/ 1 x) (/ 1 y)))
(* x (- (/ 1 x) (/ 1 y)))
(* -1 (/ x y))
(* -1 (* x (- (/ 1 y) (/ 1 x))))
(* -1 (* x (- (/ 1 y) (/ 1 x))))
(* -1 (* x (- (/ 1 y) (/ 1 x))))
(* -1 x)
(- y x)
(- y x)
(- y x)
y
(* y (+ 1 (* -1 (/ x y))))
(* y (+ 1 (* -1 (/ x y))))
(* y (+ 1 (* -1 (/ x y))))
y
(* -1 (* y (- (/ x y) 1)))
(* -1 (* y (- (/ x y) 1)))
(* -1 (* y (- (/ x y) 1)))
y
(+ y (* -1 x))
(+ y (* -1 x))
(+ y (* -1 x))
(* -1 x)
(* x (- (/ y x) 1))
(* x (- (/ y x) 1))
(* x (- (/ y x) 1))
(* -1 x)
(* -1 (* x (+ 1 (* -1 (/ y x)))))
(* -1 (* x (+ 1 (* -1 (/ y x)))))
(* -1 (* x (+ 1 (* -1 (/ y x)))))
(* -1 (+ 1 (* 2 (/ 1 x))))
(- (* 2 (/ y x)) (+ 1 (* 2 (/ 1 x))))
(- (* 2 (/ y x)) (+ 1 (* 2 (/ 1 x))))
(- (* 2 (/ y x)) (+ 1 (* 2 (/ 1 x))))
(* 2 (/ y x))
(* y (+ (* -1 (/ (+ 1 (* 2 (/ 1 x))) y)) (* 2 (/ 1 x))))
(* y (+ (* -1 (/ (+ 1 (* 2 (/ 1 x))) y)) (* 2 (/ 1 x))))
(* y (+ (* -1 (/ (+ 1 (* 2 (/ 1 x))) y)) (* 2 (/ 1 x))))
(* 2 (/ y x))
(* -1 (* y (- (+ (/ 1 y) (/ 2 (* x y))) (* 2 (/ 1 x)))))
(* -1 (* y (- (+ (/ 1 y) (/ 2 (* x y))) (* 2 (/ 1 x)))))
(* -1 (* y (- (+ (/ 1 y) (/ 2 (* x y))) (* 2 (/ 1 x)))))
(/ (- (* 2 y) 2) x)
(/ (- (+ (* -1 x) (* 2 y)) 2) x)
(/ (- (+ (* -1 x) (* 2 y)) 2) x)
(/ (- (+ (* -1 x) (* 2 y)) 2) x)
-1
(- (* 2 (/ y x)) (+ 1 (* 2 (/ 1 x))))
(- (* 2 (/ y x)) (+ 1 (* 2 (/ 1 x))))
(- (* 2 (/ y x)) (+ 1 (* 2 (/ 1 x))))
-1
(- (* 2 (/ y x)) (+ 1 (* 2 (/ 1 x))))
(- (* 2 (/ y x)) (+ 1 (* 2 (/ 1 x))))
(- (* 2 (/ y x)) (+ 1 (* 2 (/ 1 x))))
(/ -2 x)
(- (* 2 (/ y x)) (* 2 (/ 1 x)))
(- (* 2 (/ y x)) (* 2 (/ 1 x)))
(- (* 2 (/ y x)) (* 2 (/ 1 x)))
(* 2 (/ y x))
(* y (- (* 2 (/ 1 x)) (* 2 (/ 1 (* x y)))))
(* y (- (* 2 (/ 1 x)) (* 2 (/ 1 (* x y)))))
(* y (- (* 2 (/ 1 x)) (* 2 (/ 1 (* x y)))))
(* 2 (/ y x))
(* -1 (* y (- (* 2 (/ 1 (* x y))) (* 2 (/ 1 x)))))
(* -1 (* y (- (* 2 (/ 1 (* x y))) (* 2 (/ 1 x)))))
(* -1 (* y (- (* 2 (/ 1 (* x y))) (* 2 (/ 1 x)))))
(/ (- (* 2 y) 2) x)
(/ (- (* 2 y) 2) x)
(/ (- (* 2 y) 2) x)
(/ (- (* 2 y) 2) x)
(/ (- (* 2 y) 2) x)
(/ (- (* 2 y) 2) x)
(/ (- (* 2 y) 2) x)
(/ (- (* 2 y) 2) x)
(/ (- (* 2 y) 2) x)
(/ (- (* 2 y) 2) x)
(/ (- (* 2 y) 2) x)
(/ (- (* 2 y) 2) x)
-2
(- (* 2 y) 2)
(- (* 2 y) 2)
(- (* 2 y) 2)
(* 2 y)
(* y (- 2 (* 2 (/ 1 y))))
(* y (- 2 (* 2 (/ 1 y))))
(* y (- 2 (* 2 (/ 1 y))))
(* 2 y)
(* -1 (* y (- (* 2 (/ 1 y)) 2)))
(* -1 (* y (- (* 2 (/ 1 y)) 2)))
(* -1 (* y (- (* 2 (/ 1 y)) 2)))
Outputs
(* -1 (/ y (- 2 y)))
(/.f64 y (+.f64 y #s(literal -2 binary64)))
(+ (* -1 (/ y (- 2 y))) (/ x (- 2 y)))
(*.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 2 binary64) y)) (-.f64 y x))
(+ (* -1 (/ y (- 2 y))) (/ x (- 2 y)))
(*.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 2 binary64) y)) (-.f64 y x))
(+ (* -1 (/ y (- 2 y))) (/ x (- 2 y)))
(*.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 2 binary64) y)) (-.f64 y x))
(/ x (- 2 y))
(/.f64 x (-.f64 #s(literal 2 binary64) y))
(* x (+ (* -1 (/ y (* x (- 2 y)))) (/ 1 (- 2 y))))
(*.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 2 binary64) y)) (-.f64 y x))
(* x (+ (* -1 (/ y (* x (- 2 y)))) (/ 1 (- 2 y))))
(*.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 2 binary64) y)) (-.f64 y x))
(* x (+ (* -1 (/ y (* x (- 2 y)))) (/ 1 (- 2 y))))
(*.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 2 binary64) y)) (-.f64 y x))
(/ x (- 2 y))
(/.f64 x (-.f64 #s(literal 2 binary64) y))
(* -1 (* x (- (/ y (* x (- 2 y))) (/ 1 (- 2 y)))))
(*.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 2 binary64) y)) (-.f64 y x))
(* -1 (* x (- (/ y (* x (- 2 y))) (/ 1 (- 2 y)))))
(*.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 2 binary64) y)) (-.f64 y x))
(* -1 (* x (- (/ y (* x (- 2 y))) (/ 1 (- 2 y)))))
(*.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 2 binary64) y)) (-.f64 y x))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(+ (* -1 (* y (+ 1/2 (* -1/4 x)))) (* 1/2 x))
(fma.f64 x (fma.f64 y #s(literal 1/4 binary64) #s(literal 1/2 binary64)) (*.f64 y #s(literal -1/2 binary64)))
(+ (* 1/2 x) (* y (- (* -1/2 (* y (+ 1/2 (* -1/4 x)))) (+ 1/2 (* -1/4 x)))))
(fma.f64 y (*.f64 (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/2 binary64)) (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64))) (*.f64 x #s(literal 1/2 binary64)))
(+ (* 1/2 x) (* y (- (* y (- (* -1/4 (* y (+ 1/2 (* -1/4 x)))) (* 1/2 (+ 1/2 (* -1/4 x))))) (+ 1/2 (* -1/4 x)))))
(fma.f64 y (*.f64 (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/2 binary64)) (fma.f64 y (fma.f64 y #s(literal -1/4 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64))) (*.f64 x #s(literal 1/2 binary64)))
1
#s(literal 1 binary64)
(+ 1 (+ (* -1 (/ x y)) (* 2 (/ 1 y))))
(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 2 binary64) x) y))
(+ 1 (+ (* -1 (/ x y)) (+ (* 2 (/ (+ 2 (* -1 x)) (pow y 2))) (* 2 (/ 1 y)))))
(fma.f64 (/.f64 (+.f64 x #s(literal -2 binary64)) y) (+.f64 (/.f64 #s(literal -2 binary64) y) #s(literal -1 binary64)) #s(literal 1 binary64))
(- (+ 1 (+ (* -1 (/ x y)) (+ (* 4 (/ (+ 2 (* -1 x)) (pow y 3))) (* 2 (/ 1 y))))) (* -2 (/ (+ 2 (* -1 x)) (pow y 2))))
(+.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 2 binary64) x) y)) (*.f64 (/.f64 (-.f64 #s(literal 2 binary64) x) (*.f64 y y)) (+.f64 (/.f64 #s(literal 4 binary64) y) #s(literal 2 binary64))))
1
#s(literal 1 binary64)
(+ 1 (* -1 (/ (- x 2) y)))
(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 2 binary64) x) y))
(+ 1 (* -1 (/ (- (+ x (* 2 (/ (- x 2) y))) 2) y)))
(fma.f64 (/.f64 (+.f64 x #s(literal -2 binary64)) y) (+.f64 (/.f64 #s(literal -2 binary64) y) #s(literal -1 binary64)) #s(literal 1 binary64))
(+ 1 (* -1 (/ (- (+ x (* -1 (/ (- (* -4 (/ (- x 2) y)) (* 2 (- x 2))) y))) 2) y)))
(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 2 binary64) (fma.f64 (/.f64 (-.f64 #s(literal 2 binary64) x) y) (+.f64 (/.f64 #s(literal -4 binary64) y) #s(literal -2 binary64)) x)) y))
(* -1 y)
(neg.f64 y)
(- x y)
(-.f64 x y)
(- x y)
(-.f64 x y)
(- x y)
(-.f64 x y)
x
(* x (+ 1 (* -1 (/ y x))))
(-.f64 x y)
(* x (+ 1 (* -1 (/ y x))))
(-.f64 x y)
(* x (+ 1 (* -1 (/ y x))))
(-.f64 x y)
x
(* -1 (* x (- (/ y x) 1)))
(-.f64 x y)
(* -1 (* x (- (/ y x) 1)))
(-.f64 x y)
(* -1 (* x (- (/ y x) 1)))
(-.f64 x y)
x
(+ x (* -1 y))
(-.f64 x y)
(+ x (* -1 y))
(-.f64 x y)
(+ x (* -1 y))
(-.f64 x y)
(* -1 y)
(neg.f64 y)
(* y (- (/ x y) 1))
(-.f64 x y)
(* y (- (/ x y) 1))
(-.f64 x y)
(* y (- (/ x y) 1))
(-.f64 x y)
(* -1 y)
(neg.f64 y)
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(-.f64 x y)
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(-.f64 x y)
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(-.f64 x y)
2
#s(literal 2 binary64)
(+ 2 (* -1 y))
(-.f64 #s(literal 2 binary64) y)
(+ 2 (* -1 y))
(-.f64 #s(literal 2 binary64) y)
(+ 2 (* -1 y))
(-.f64 #s(literal 2 binary64) y)
(* -1 y)
(neg.f64 y)
(* y (- (* 2 (/ 1 y)) 1))
(-.f64 #s(literal 2 binary64) y)
(* y (- (* 2 (/ 1 y)) 1))
(-.f64 #s(literal 2 binary64) y)
(* y (- (* 2 (/ 1 y)) 1))
(-.f64 #s(literal 2 binary64) y)
(* -1 y)
(neg.f64 y)
(* -1 (* y (- 1 (* 2 (/ 1 y)))))
(-.f64 #s(literal 2 binary64) y)
(* -1 (* y (- 1 (* 2 (/ 1 y)))))
(-.f64 #s(literal 2 binary64) y)
(* -1 (* y (- 1 (* 2 (/ 1 y)))))
(-.f64 #s(literal 2 binary64) y)
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* -1/2 y)
(*.f64 y #s(literal -1/2 binary64))
(* y (- (* -1/4 y) 1/2))
(*.f64 y (fma.f64 y #s(literal -1/4 binary64) #s(literal -1/2 binary64)))
(* y (- (* -1/4 y) 1/2))
(*.f64 y (fma.f64 y #s(literal -1/4 binary64) #s(literal -1/2 binary64)))
(* y (- (* -1/4 y) 1/2))
(*.f64 y (fma.f64 y #s(literal -1/4 binary64) #s(literal -1/2 binary64)))
(* -1/4 (pow y 2))
(*.f64 y (*.f64 y #s(literal -1/4 binary64)))
(* -1 (* (pow y 2) (+ 1/4 (* 1/2 (/ 1 y)))))
(*.f64 y (fma.f64 y #s(literal -1/4 binary64) #s(literal -1/2 binary64)))
(* -1 (* (pow y 2) (+ 1/4 (* 1/2 (/ 1 y)))))
(*.f64 y (fma.f64 y #s(literal -1/4 binary64) #s(literal -1/2 binary64)))
(* -1 (* (pow y 2) (+ 1/4 (* 1/2 (/ 1 y)))))
(*.f64 y (fma.f64 y #s(literal -1/4 binary64) #s(literal -1/2 binary64)))
(* -1/4 (pow y 2))
(*.f64 y (*.f64 y #s(literal -1/4 binary64)))
(* -1 (* (pow y 2) (+ 1/4 (* 1/2 (/ 1 y)))))
(*.f64 y (fma.f64 y #s(literal -1/4 binary64) #s(literal -1/2 binary64)))
(* -1 (* (pow y 2) (+ 1/4 (* 1/2 (/ 1 y)))))
(*.f64 y (fma.f64 y #s(literal -1/4 binary64) #s(literal -1/2 binary64)))
(* -1 (* (pow y 2) (+ 1/4 (* 1/2 (/ 1 y)))))
(*.f64 y (fma.f64 y #s(literal -1/4 binary64) #s(literal -1/2 binary64)))
-1/2
#s(literal -1/2 binary64)
(- (* -1/4 y) 1/2)
(fma.f64 y #s(literal -1/4 binary64) #s(literal -1/2 binary64))
(- (* -1/4 y) 1/2)
(fma.f64 y #s(literal -1/4 binary64) #s(literal -1/2 binary64))
(- (* -1/4 y) 1/2)
(fma.f64 y #s(literal -1/4 binary64) #s(literal -1/2 binary64))
(* -1/4 y)
(*.f64 y #s(literal -1/4 binary64))
(* -1 (* y (+ 1/4 (* 1/2 (/ 1 y)))))
(fma.f64 y #s(literal -1/4 binary64) #s(literal -1/2 binary64))
(* -1 (* y (+ 1/4 (* 1/2 (/ 1 y)))))
(fma.f64 y #s(literal -1/4 binary64) #s(literal -1/2 binary64))
(* -1 (* y (+ 1/4 (* 1/2 (/ 1 y)))))
(fma.f64 y #s(literal -1/4 binary64) #s(literal -1/2 binary64))
(* -1/4 y)
(*.f64 y #s(literal -1/4 binary64))
(* -1 (* y (+ 1/4 (* 1/2 (/ 1 y)))))
(fma.f64 y #s(literal -1/4 binary64) #s(literal -1/2 binary64))
(* -1 (* y (+ 1/4 (* 1/2 (/ 1 y)))))
(fma.f64 y #s(literal -1/4 binary64) #s(literal -1/2 binary64))
(* -1 (* y (+ 1/4 (* 1/2 (/ 1 y)))))
(fma.f64 y #s(literal -1/4 binary64) #s(literal -1/2 binary64))
(* -1 (/ x y))
(/.f64 x (neg.f64 y))
(/ (+ y (* -1 x)) y)
(-.f64 #s(literal 1 binary64) (/.f64 x y))
(/ (+ y (* -1 x)) y)
(-.f64 #s(literal 1 binary64) (/.f64 x y))
(/ (+ y (* -1 x)) y)
(-.f64 #s(literal 1 binary64) (/.f64 x y))
1
#s(literal 1 binary64)
(+ 1 (* -1 (/ x y)))
(-.f64 #s(literal 1 binary64) (/.f64 x y))
(+ 1 (* -1 (/ x y)))
(-.f64 #s(literal 1 binary64) (/.f64 x y))
(+ 1 (* -1 (/ x y)))
(-.f64 #s(literal 1 binary64) (/.f64 x y))
1
#s(literal 1 binary64)
(+ 1 (* -1 (/ x y)))
(-.f64 #s(literal 1 binary64) (/.f64 x y))
(+ 1 (* -1 (/ x y)))
(-.f64 #s(literal 1 binary64) (/.f64 x y))
(+ 1 (* -1 (/ x y)))
(-.f64 #s(literal 1 binary64) (/.f64 x y))
1
#s(literal 1 binary64)
(+ 1 (* -1 (/ x y)))
(-.f64 #s(literal 1 binary64) (/.f64 x y))
(+ 1 (* -1 (/ x y)))
(-.f64 #s(literal 1 binary64) (/.f64 x y))
(+ 1 (* -1 (/ x y)))
(-.f64 #s(literal 1 binary64) (/.f64 x y))
(* -1 (/ x y))
(/.f64 x (neg.f64 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))
(* -1 (/ x y))
(/.f64 x (neg.f64 y))
(* -1 (* x (- (/ 1 y) (/ 1 x))))
(-.f64 #s(literal 1 binary64) (/.f64 x y))
(* -1 (* x (- (/ 1 y) (/ 1 x))))
(-.f64 #s(literal 1 binary64) (/.f64 x y))
(* -1 (* x (- (/ 1 y) (/ 1 x))))
(-.f64 #s(literal 1 binary64) (/.f64 x y))
(* -1 x)
(neg.f64 x)
(- y x)
(-.f64 y x)
(- y x)
(-.f64 y x)
(- y x)
(-.f64 y x)
y
(* y (+ 1 (* -1 (/ x y))))
(-.f64 y x)
(* y (+ 1 (* -1 (/ x y))))
(-.f64 y x)
(* y (+ 1 (* -1 (/ x y))))
(-.f64 y x)
y
(* -1 (* y (- (/ x y) 1)))
(-.f64 y x)
(* -1 (* y (- (/ x y) 1)))
(-.f64 y x)
(* -1 (* y (- (/ x y) 1)))
(-.f64 y x)
y
(+ y (* -1 x))
(-.f64 y x)
(+ y (* -1 x))
(-.f64 y x)
(+ y (* -1 x))
(-.f64 y x)
(* -1 x)
(neg.f64 x)
(* x (- (/ y x) 1))
(-.f64 y x)
(* x (- (/ y x) 1))
(-.f64 y x)
(* x (- (/ y x) 1))
(-.f64 y x)
(* -1 x)
(neg.f64 x)
(* -1 (* x (+ 1 (* -1 (/ y x)))))
(-.f64 y x)
(* -1 (* x (+ 1 (* -1 (/ y x)))))
(-.f64 y x)
(* -1 (* x (+ 1 (* -1 (/ y x)))))
(-.f64 y x)
(* -1 (+ 1 (* 2 (/ 1 x))))
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) x))
(- (* 2 (/ y x)) (+ 1 (* 2 (/ 1 x))))
(+.f64 #s(literal -1 binary64) (/.f64 (fma.f64 y #s(literal 2 binary64) #s(literal -2 binary64)) x))
(- (* 2 (/ y x)) (+ 1 (* 2 (/ 1 x))))
(+.f64 #s(literal -1 binary64) (/.f64 (fma.f64 y #s(literal 2 binary64) #s(literal -2 binary64)) x))
(- (* 2 (/ y x)) (+ 1 (* 2 (/ 1 x))))
(+.f64 #s(literal -1 binary64) (/.f64 (fma.f64 y #s(literal 2 binary64) #s(literal -2 binary64)) x))
(* 2 (/ y x))
(/.f64 (*.f64 y #s(literal 2 binary64)) x)
(* y (+ (* -1 (/ (+ 1 (* 2 (/ 1 x))) y)) (* 2 (/ 1 x))))
(+.f64 #s(literal -1 binary64) (/.f64 (fma.f64 y #s(literal 2 binary64) #s(literal -2 binary64)) x))
(* y (+ (* -1 (/ (+ 1 (* 2 (/ 1 x))) y)) (* 2 (/ 1 x))))
(+.f64 #s(literal -1 binary64) (/.f64 (fma.f64 y #s(literal 2 binary64) #s(literal -2 binary64)) x))
(* y (+ (* -1 (/ (+ 1 (* 2 (/ 1 x))) y)) (* 2 (/ 1 x))))
(+.f64 #s(literal -1 binary64) (/.f64 (fma.f64 y #s(literal 2 binary64) #s(literal -2 binary64)) x))
(* 2 (/ y x))
(/.f64 (*.f64 y #s(literal 2 binary64)) x)
(* -1 (* y (- (+ (/ 1 y) (/ 2 (* x y))) (* 2 (/ 1 x)))))
(+.f64 #s(literal -1 binary64) (/.f64 (fma.f64 y #s(literal 2 binary64) #s(literal -2 binary64)) x))
(* -1 (* y (- (+ (/ 1 y) (/ 2 (* x y))) (* 2 (/ 1 x)))))
(+.f64 #s(literal -1 binary64) (/.f64 (fma.f64 y #s(literal 2 binary64) #s(literal -2 binary64)) x))
(* -1 (* y (- (+ (/ 1 y) (/ 2 (* x y))) (* 2 (/ 1 x)))))
(+.f64 #s(literal -1 binary64) (/.f64 (fma.f64 y #s(literal 2 binary64) #s(literal -2 binary64)) x))
(/ (- (* 2 y) 2) x)
(/.f64 (fma.f64 y #s(literal 2 binary64) #s(literal -2 binary64)) x)
(/ (- (+ (* -1 x) (* 2 y)) 2) x)
(+.f64 #s(literal -1 binary64) (/.f64 (fma.f64 y #s(literal 2 binary64) #s(literal -2 binary64)) x))
(/ (- (+ (* -1 x) (* 2 y)) 2) x)
(+.f64 #s(literal -1 binary64) (/.f64 (fma.f64 y #s(literal 2 binary64) #s(literal -2 binary64)) x))
(/ (- (+ (* -1 x) (* 2 y)) 2) x)
(+.f64 #s(literal -1 binary64) (/.f64 (fma.f64 y #s(literal 2 binary64) #s(literal -2 binary64)) x))
-1
#s(literal -1 binary64)
(- (* 2 (/ y x)) (+ 1 (* 2 (/ 1 x))))
(+.f64 #s(literal -1 binary64) (/.f64 (fma.f64 y #s(literal 2 binary64) #s(literal -2 binary64)) x))
(- (* 2 (/ y x)) (+ 1 (* 2 (/ 1 x))))
(+.f64 #s(literal -1 binary64) (/.f64 (fma.f64 y #s(literal 2 binary64) #s(literal -2 binary64)) x))
(- (* 2 (/ y x)) (+ 1 (* 2 (/ 1 x))))
(+.f64 #s(literal -1 binary64) (/.f64 (fma.f64 y #s(literal 2 binary64) #s(literal -2 binary64)) x))
-1
#s(literal -1 binary64)
(- (* 2 (/ y x)) (+ 1 (* 2 (/ 1 x))))
(+.f64 #s(literal -1 binary64) (/.f64 (fma.f64 y #s(literal 2 binary64) #s(literal -2 binary64)) x))
(- (* 2 (/ y x)) (+ 1 (* 2 (/ 1 x))))
(+.f64 #s(literal -1 binary64) (/.f64 (fma.f64 y #s(literal 2 binary64) #s(literal -2 binary64)) x))
(- (* 2 (/ y x)) (+ 1 (* 2 (/ 1 x))))
(+.f64 #s(literal -1 binary64) (/.f64 (fma.f64 y #s(literal 2 binary64) #s(literal -2 binary64)) x))
(/ -2 x)
(/.f64 #s(literal -2 binary64) x)
(- (* 2 (/ y x)) (* 2 (/ 1 x)))
(/.f64 (fma.f64 y #s(literal 2 binary64) #s(literal -2 binary64)) x)
(- (* 2 (/ y x)) (* 2 (/ 1 x)))
(/.f64 (fma.f64 y #s(literal 2 binary64) #s(literal -2 binary64)) x)
(- (* 2 (/ y x)) (* 2 (/ 1 x)))
(/.f64 (fma.f64 y #s(literal 2 binary64) #s(literal -2 binary64)) x)
(* 2 (/ y x))
(/.f64 (*.f64 y #s(literal 2 binary64)) x)
(* y (- (* 2 (/ 1 x)) (* 2 (/ 1 (* x y)))))
(/.f64 (fma.f64 y #s(literal 2 binary64) #s(literal -2 binary64)) x)
(* y (- (* 2 (/ 1 x)) (* 2 (/ 1 (* x y)))))
(/.f64 (fma.f64 y #s(literal 2 binary64) #s(literal -2 binary64)) x)
(* y (- (* 2 (/ 1 x)) (* 2 (/ 1 (* x y)))))
(/.f64 (fma.f64 y #s(literal 2 binary64) #s(literal -2 binary64)) x)
(* 2 (/ y x))
(/.f64 (*.f64 y #s(literal 2 binary64)) x)
(* -1 (* y (- (* 2 (/ 1 (* x y))) (* 2 (/ 1 x)))))
(/.f64 (fma.f64 y #s(literal 2 binary64) #s(literal -2 binary64)) x)
(* -1 (* y (- (* 2 (/ 1 (* x y))) (* 2 (/ 1 x)))))
(/.f64 (fma.f64 y #s(literal 2 binary64) #s(literal -2 binary64)) x)
(* -1 (* y (- (* 2 (/ 1 (* x y))) (* 2 (/ 1 x)))))
(/.f64 (fma.f64 y #s(literal 2 binary64) #s(literal -2 binary64)) x)
(/ (- (* 2 y) 2) x)
(/.f64 (fma.f64 y #s(literal 2 binary64) #s(literal -2 binary64)) x)
(/ (- (* 2 y) 2) x)
(/.f64 (fma.f64 y #s(literal 2 binary64) #s(literal -2 binary64)) x)
(/ (- (* 2 y) 2) x)
(/.f64 (fma.f64 y #s(literal 2 binary64) #s(literal -2 binary64)) x)
(/ (- (* 2 y) 2) x)
(/.f64 (fma.f64 y #s(literal 2 binary64) #s(literal -2 binary64)) x)
(/ (- (* 2 y) 2) x)
(/.f64 (fma.f64 y #s(literal 2 binary64) #s(literal -2 binary64)) x)
(/ (- (* 2 y) 2) x)
(/.f64 (fma.f64 y #s(literal 2 binary64) #s(literal -2 binary64)) x)
(/ (- (* 2 y) 2) x)
(/.f64 (fma.f64 y #s(literal 2 binary64) #s(literal -2 binary64)) x)
(/ (- (* 2 y) 2) x)
(/.f64 (fma.f64 y #s(literal 2 binary64) #s(literal -2 binary64)) x)
(/ (- (* 2 y) 2) x)
(/.f64 (fma.f64 y #s(literal 2 binary64) #s(literal -2 binary64)) x)
(/ (- (* 2 y) 2) x)
(/.f64 (fma.f64 y #s(literal 2 binary64) #s(literal -2 binary64)) x)
(/ (- (* 2 y) 2) x)
(/.f64 (fma.f64 y #s(literal 2 binary64) #s(literal -2 binary64)) x)
(/ (- (* 2 y) 2) x)
(/.f64 (fma.f64 y #s(literal 2 binary64) #s(literal -2 binary64)) x)
-2
#s(literal -2 binary64)
(- (* 2 y) 2)
(fma.f64 y #s(literal 2 binary64) #s(literal -2 binary64))
(- (* 2 y) 2)
(fma.f64 y #s(literal 2 binary64) #s(literal -2 binary64))
(- (* 2 y) 2)
(fma.f64 y #s(literal 2 binary64) #s(literal -2 binary64))
(* 2 y)
(*.f64 y #s(literal 2 binary64))
(* y (- 2 (* 2 (/ 1 y))))
(fma.f64 y #s(literal 2 binary64) #s(literal -2 binary64))
(* y (- 2 (* 2 (/ 1 y))))
(fma.f64 y #s(literal 2 binary64) #s(literal -2 binary64))
(* y (- 2 (* 2 (/ 1 y))))
(fma.f64 y #s(literal 2 binary64) #s(literal -2 binary64))
(* 2 y)
(*.f64 y #s(literal 2 binary64))
(* -1 (* y (- (* 2 (/ 1 y)) 2)))
(fma.f64 y #s(literal 2 binary64) #s(literal -2 binary64))
(* -1 (* y (- (* 2 (/ 1 y)) 2)))
(fma.f64 y #s(literal 2 binary64) #s(literal -2 binary64))
(* -1 (* y (- (* 2 (/ 1 y)) 2)))
(fma.f64 y #s(literal 2 binary64) #s(literal -2 binary64))

eval103.0ms (1.2%)

Memory
26.6MiB live, 217.6MiB allocated
Compiler

Compiled 14 525 to 1 798 computations (87.6% saved)

prune97.0ms (1.1%)

Memory
-12.0MiB live, 220.6MiB allocated
Pruning

19 alts after pruning (8 fresh and 11 done)

PrunedKeptTotal
New8453848
Fresh055
Picked235
Done088
Total84719866
Accuracy
100.0%
Counts
866 → 19
Alt Table
Click to see full alt table
StatusAccuracyProgram
17.3%
(fma.f64 (*.f64 y y) #s(literal -1/4 binary64) (*.f64 y #s(literal -1/2 binary64)))
✓35.5%
(/.f64 (-.f64 y x) y)
36.1%
(/.f64 (-.f64 y x) x)
✓100.0%
(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y)))
31.6%
(/.f64 (-.f64 x y) #s(literal 2 binary64))
✓50.7%
(/.f64 y (+.f64 y #s(literal -2 binary64)))
✓50.7%
(/.f64 x (-.f64 #s(literal 2 binary64) (+.f64 x y)))
✓50.5%
(/.f64 x (-.f64 #s(literal 2 binary64) x))
50.6%
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 y #s(literal -2 binary64)) y))
35.4%
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) y))
36.4%
(+.f64 (/.f64 (*.f64 y #s(literal 2 binary64)) x) #s(literal -1 binary64))
✓99.8%
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (+.f64 x y))) (-.f64 x y))
35.4%
(*.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 y x))
✓17.3%
(*.f64 y (fma.f64 y #s(literal -1/4 binary64) #s(literal -1/2 binary64)))
17.5%
(*.f64 y #s(literal -1/2 binary64))
✓16.4%
(*.f64 x (fma.f64 x #s(literal 1/4 binary64) #s(literal 1/2 binary64)))
✓16.8%
(*.f64 x #s(literal 1/2 binary64))
✓35.4%
#s(literal 1 binary64)
✓35.8%
#s(literal -1 binary64)
Compiler

Compiled 325 to 172 computations (47.1% saved)

regimes27.0ms (0.3%)

Memory
12.4MiB live, 49.5MiB allocated
Counts
28 → 1
Calls
Call 1
Inputs
#s(literal -1 binary64)
#s(literal 1 binary64)
(*.f64 x #s(literal 1/2 binary64))
(*.f64 y #s(literal -1/2 binary64))
(*.f64 x (fma.f64 x #s(literal 1/4 binary64) #s(literal 1/2 binary64)))
(*.f64 y (fma.f64 y #s(literal -1/4 binary64) #s(literal -1/2 binary64)))
(/.f64 x (neg.f64 y))
(/.f64 x (-.f64 #s(literal 2 binary64) x))
(/.f64 y (+.f64 y #s(literal -2 binary64)))
(/.f64 (-.f64 x y) #s(literal 2 binary64))
(/.f64 (-.f64 y x) x)
(/.f64 (-.f64 y x) y)
(/.f64 (-.f64 x y) (neg.f64 x))
(/.f64 (-.f64 x y) (neg.f64 y))
(fma.f64 (*.f64 y y) #s(literal -1/4 binary64) (*.f64 y #s(literal -1/2 binary64)))
(/.f64 x (-.f64 #s(literal 2 binary64) (+.f64 x y)))
(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) y))
(*.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 y x))
(+.f64 (/.f64 (*.f64 y #s(literal 2 binary64)) x) #s(literal -1 binary64))
(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 2 binary64) (+.f64 x x)) y))
(+.f64 (/.f64 (fma.f64 y #s(literal 2 binary64) #s(literal -2 binary64)) x) #s(literal -1 binary64))
(-.f64 #s(literal 1 binary64) (/.f64 (+.f64 x (+.f64 x #s(literal -2 binary64))) y))
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) y))
(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y)))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (+.f64 x y))) (-.f64 x y))
(/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal -2 binary64) y) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 y #s(literal -2 binary64)) y))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 2 binary64) (+.f64 x y)) (-.f64 x y)))
Outputs
(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y)))
Calls

3 calls:

10.0ms
x
8.0ms
y
7.0ms
(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y)))
Results
AccuracySegmentsBranch
100.0%1x
100.0%1y
100.0%1(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y)))
Compiler

Compiled 17 to 11 computations (35.3% saved)

regimes34.0ms (0.4%)

Memory
-15.4MiB live, 40.2MiB allocated
Counts
23 → 2
Calls
Call 1
Inputs
#s(literal -1 binary64)
#s(literal 1 binary64)
(*.f64 x #s(literal 1/2 binary64))
(*.f64 y #s(literal -1/2 binary64))
(*.f64 x (fma.f64 x #s(literal 1/4 binary64) #s(literal 1/2 binary64)))
(*.f64 y (fma.f64 y #s(literal -1/4 binary64) #s(literal -1/2 binary64)))
(/.f64 x (neg.f64 y))
(/.f64 x (-.f64 #s(literal 2 binary64) x))
(/.f64 y (+.f64 y #s(literal -2 binary64)))
(/.f64 (-.f64 x y) #s(literal 2 binary64))
(/.f64 (-.f64 y x) x)
(/.f64 (-.f64 y x) y)
(/.f64 (-.f64 x y) (neg.f64 x))
(/.f64 (-.f64 x y) (neg.f64 y))
(fma.f64 (*.f64 y y) #s(literal -1/4 binary64) (*.f64 y #s(literal -1/2 binary64)))
(/.f64 x (-.f64 #s(literal 2 binary64) (+.f64 x y)))
(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) y))
(*.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 y x))
(+.f64 (/.f64 (*.f64 y #s(literal 2 binary64)) x) #s(literal -1 binary64))
(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 2 binary64) (+.f64 x x)) y))
(+.f64 (/.f64 (fma.f64 y #s(literal 2 binary64) #s(literal -2 binary64)) x) #s(literal -1 binary64))
(-.f64 #s(literal 1 binary64) (/.f64 (+.f64 x (+.f64 x #s(literal -2 binary64))) y))
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) y))
Outputs
(/.f64 x (-.f64 #s(literal 2 binary64) (+.f64 x y)))
(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) y))
Calls

3 calls:

20.0ms
y
7.0ms
x
6.0ms
(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y)))
Results
AccuracySegmentsBranch
89.5%3x
75.7%3y
98.5%2(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y)))
Compiler

Compiled 17 to 11 computations (35.3% saved)

regimes5.0ms (0.1%)

Memory
9.6MiB live, 9.6MiB allocated
Counts
16 → 3
Calls
Call 1
Inputs
#s(literal -1 binary64)
#s(literal 1 binary64)
(*.f64 x #s(literal 1/2 binary64))
(*.f64 y #s(literal -1/2 binary64))
(*.f64 x (fma.f64 x #s(literal 1/4 binary64) #s(literal 1/2 binary64)))
(*.f64 y (fma.f64 y #s(literal -1/4 binary64) #s(literal -1/2 binary64)))
(/.f64 x (neg.f64 y))
(/.f64 x (-.f64 #s(literal 2 binary64) x))
(/.f64 y (+.f64 y #s(literal -2 binary64)))
(/.f64 (-.f64 x y) #s(literal 2 binary64))
(/.f64 (-.f64 y x) x)
(/.f64 (-.f64 y x) y)
(/.f64 (-.f64 x y) (neg.f64 x))
(/.f64 (-.f64 x y) (neg.f64 y))
(fma.f64 (*.f64 y y) #s(literal -1/4 binary64) (*.f64 y #s(literal -1/2 binary64)))
(/.f64 x (-.f64 #s(literal 2 binary64) (+.f64 x y)))
Outputs
(/.f64 x (-.f64 #s(literal 2 binary64) (+.f64 x y)))
(/.f64 (-.f64 x y) #s(literal 2 binary64))
(/.f64 y (+.f64 y #s(literal -2 binary64)))
Calls

1 calls:

5.0ms
(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y)))
Results
AccuracySegmentsBranch
98.2%3(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y)))
Compiler

Compiled 11 to 7 computations (36.4% saved)

regimes5.0ms (0.1%)

Memory
10.7MiB live, 10.7MiB allocated
Counts
15 → 3
Calls
Call 1
Inputs
#s(literal -1 binary64)
#s(literal 1 binary64)
(*.f64 x #s(literal 1/2 binary64))
(*.f64 y #s(literal -1/2 binary64))
(*.f64 x (fma.f64 x #s(literal 1/4 binary64) #s(literal 1/2 binary64)))
(*.f64 y (fma.f64 y #s(literal -1/4 binary64) #s(literal -1/2 binary64)))
(/.f64 x (neg.f64 y))
(/.f64 x (-.f64 #s(literal 2 binary64) x))
(/.f64 y (+.f64 y #s(literal -2 binary64)))
(/.f64 (-.f64 x y) #s(literal 2 binary64))
(/.f64 (-.f64 y x) x)
(/.f64 (-.f64 y x) y)
(/.f64 (-.f64 x y) (neg.f64 x))
(/.f64 (-.f64 x y) (neg.f64 y))
(fma.f64 (*.f64 y y) #s(literal -1/4 binary64) (*.f64 y #s(literal -1/2 binary64)))
Outputs
(/.f64 x (-.f64 #s(literal 2 binary64) x))
(/.f64 (-.f64 x y) #s(literal 2 binary64))
(/.f64 y (+.f64 y #s(literal -2 binary64)))
Calls

1 calls:

4.0ms
(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y)))
Results
AccuracySegmentsBranch
98.2%3(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y)))
Compiler

Compiled 11 to 7 computations (36.4% saved)

regimes9.0ms (0.1%)

Memory
-22.6MiB live, 15.0MiB allocated
Counts
9 → 2
Calls
Call 1
Inputs
#s(literal -1 binary64)
#s(literal 1 binary64)
(*.f64 x #s(literal 1/2 binary64))
(*.f64 y #s(literal -1/2 binary64))
(*.f64 x (fma.f64 x #s(literal 1/4 binary64) #s(literal 1/2 binary64)))
(*.f64 y (fma.f64 y #s(literal -1/4 binary64) #s(literal -1/2 binary64)))
(/.f64 x (neg.f64 y))
(/.f64 x (-.f64 #s(literal 2 binary64) x))
(/.f64 y (+.f64 y #s(literal -2 binary64)))
Outputs
(/.f64 x (-.f64 #s(literal 2 binary64) x))
(/.f64 y (+.f64 y #s(literal -2 binary64)))
Calls

2 calls:

5.0ms
(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y)))
3.0ms
x
Results
AccuracySegmentsBranch
75.1%3x
84.1%2(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y)))
Compiler

Compiled 14 to 9 computations (35.7% saved)

regimes3.0ms (0%)

Memory
7.0MiB live, 7.0MiB allocated
Counts
8 → 2
Calls
Call 1
Inputs
#s(literal -1 binary64)
#s(literal 1 binary64)
(*.f64 x #s(literal 1/2 binary64))
(*.f64 y #s(literal -1/2 binary64))
(*.f64 x (fma.f64 x #s(literal 1/4 binary64) #s(literal 1/2 binary64)))
(*.f64 y (fma.f64 y #s(literal -1/4 binary64) #s(literal -1/2 binary64)))
(/.f64 x (neg.f64 y))
(/.f64 x (-.f64 #s(literal 2 binary64) x))
Outputs
(/.f64 x (-.f64 #s(literal 2 binary64) x))
#s(literal 1 binary64)
Calls

1 calls:

3.0ms
(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y)))
Results
AccuracySegmentsBranch
83.1%2(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y)))
Compiler

Compiled 11 to 7 computations (36.4% saved)

regimes3.0ms (0%)

Memory
6.7MiB live, 6.7MiB allocated
Counts
7 → 4
Calls
Call 1
Inputs
#s(literal -1 binary64)
#s(literal 1 binary64)
(*.f64 x #s(literal 1/2 binary64))
(*.f64 y #s(literal -1/2 binary64))
(*.f64 x (fma.f64 x #s(literal 1/4 binary64) #s(literal 1/2 binary64)))
(*.f64 y (fma.f64 y #s(literal -1/4 binary64) #s(literal -1/2 binary64)))
(/.f64 x (neg.f64 y))
Outputs
#s(literal -1 binary64)
(*.f64 y (fma.f64 y #s(literal -1/4 binary64) #s(literal -1/2 binary64)))
(*.f64 x (fma.f64 x #s(literal 1/4 binary64) #s(literal 1/2 binary64)))
#s(literal 1 binary64)
Calls

1 calls:

2.0ms
(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y)))
Results
AccuracySegmentsBranch
84.7%4(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y)))
Compiler

Compiled 11 to 7 computations (36.4% saved)

regimes2.0ms (0%)

Memory
5.4MiB live, 5.4MiB allocated
Counts
5 → 4
Calls
Call 1
Inputs
#s(literal -1 binary64)
#s(literal 1 binary64)
(*.f64 x #s(literal 1/2 binary64))
(*.f64 y #s(literal -1/2 binary64))
(*.f64 x (fma.f64 x #s(literal 1/4 binary64) #s(literal 1/2 binary64)))
Outputs
#s(literal -1 binary64)
(*.f64 y #s(literal -1/2 binary64))
(*.f64 x (fma.f64 x #s(literal 1/4 binary64) #s(literal 1/2 binary64)))
#s(literal 1 binary64)
Calls

1 calls:

2.0ms
(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y)))
Results
AccuracySegmentsBranch
84.6%4(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y)))
Compiler

Compiled 11 to 7 computations (36.4% saved)

regimes2.0ms (0%)

Memory
5.0MiB live, 5.0MiB allocated
Counts
4 → 4
Calls
Call 1
Inputs
#s(literal -1 binary64)
#s(literal 1 binary64)
(*.f64 x #s(literal 1/2 binary64))
(*.f64 y #s(literal -1/2 binary64))
Outputs
#s(literal -1 binary64)
(*.f64 y #s(literal -1/2 binary64))
(*.f64 x #s(literal 1/2 binary64))
#s(literal 1 binary64)
Calls

1 calls:

2.0ms
(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y)))
Results
AccuracySegmentsBranch
84.4%4(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y)))
Compiler

Compiled 11 to 7 computations (36.4% saved)

regimes2.0ms (0%)

Memory
4.4MiB live, 4.4MiB allocated
Counts
3 → 3
Calls
Call 1
Inputs
#s(literal -1 binary64)
#s(literal 1 binary64)
(*.f64 x #s(literal 1/2 binary64))
Outputs
#s(literal -1 binary64)
(*.f64 x #s(literal 1/2 binary64))
#s(literal 1 binary64)
Calls

1 calls:

2.0ms
(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y)))
Results
AccuracySegmentsBranch
82.1%3(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y)))
Compiler

Compiled 11 to 7 computations (36.4% saved)

regimes7.0ms (0.1%)

Memory
-26.2MiB live, 11.6MiB allocated
Counts
2 → 2
Calls
Call 1
Inputs
#s(literal -1 binary64)
#s(literal 1 binary64)
Outputs
#s(literal -1 binary64)
#s(literal 1 binary64)
Calls

3 calls:

3.0ms
(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y)))
2.0ms
x
1.0ms
y
Results
AccuracySegmentsBranch
59.8%3x
60.2%3y
69.5%2(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y)))
Compiler

Compiled 17 to 11 computations (35.3% saved)

regimes4.0ms (0%)

Memory
8.1MiB live, 8.1MiB 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:

1.0ms
x
1.0ms
y
1.0ms
(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y)))
Results
AccuracySegmentsBranch
35.8%1x
35.8%1y
35.8%1(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y)))
Compiler

Compiled 17 to 11 computations (35.3% saved)

bsearch0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
-0.999999980548389
-6.454038736609599e-8
Compiler

Compiled 14 to 12 computations (14.3% saved)

bsearch0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
0.006214823914386963
0.021925389468248114
0.0ms
-0.999999980548389
-6.454038736609599e-8
Compiler

Compiled 14 to 12 computations (14.3% saved)

bsearch0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated
Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
0.006214823914386963
0.021925389468248114
0.0ms
-0.999999980548389
-6.454038736609599e-8
Compiler

Compiled 14 to 12 computations (14.3% saved)

bsearch0.0ms (0%)

Memory
0.2MiB live, 0.2MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
-1.7718813860269248e-189
-1.746970505824476e-212
Compiler

Compiled 14 to 12 computations (14.3% saved)

bsearch0.0ms (0%)

Memory
0.2MiB live, 0.2MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
0.006214823914386963
0.021925389468248114
Compiler

Compiled 14 to 12 computations (14.3% saved)

bsearch0.0ms (0%)

Memory
1.4MiB live, 1.5MiB allocated
Algorithm
3×left-value
Steps
TimeLeftRight
0.0ms
0.006214823914386963
0.021925389468248114
0.0ms
-1.3540784325643508e-62
-7.918880763216553e-93
0.0ms
-0.999999980548389
-6.454038736609599e-8
Compiler

Compiled 14 to 12 computations (14.3% saved)

bsearch0.0ms (0%)

Memory
1.7MiB live, 1.7MiB allocated
Algorithm
3×left-value
Steps
TimeLeftRight
0.0ms
0.006214823914386963
0.021925389468248114
0.0ms
-1.3540784325643508e-62
-7.918880763216553e-93
0.0ms
-0.999999980548389
-6.454038736609599e-8
Compiler

Compiled 14 to 12 computations (14.3% saved)

bsearch0.0ms (0%)

Memory
1.4MiB live, 1.4MiB allocated
Algorithm
3×left-value
Steps
TimeLeftRight
0.0ms
0.006214823914386963
0.021925389468248114
0.0ms
-1.3540784325643508e-62
-7.918880763216553e-93
0.0ms
-0.999999980548389
-6.454038736609599e-8
Compiler

Compiled 14 to 12 computations (14.3% saved)

bsearch0.0ms (0%)

Memory
1.1MiB live, 1.1MiB allocated
Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
0.006214823914386963
0.021925389468248114
0.0ms
-6.454038736609599e-8
-3.278684958808139e-18
Compiler

Compiled 14 to 12 computations (14.3% saved)

bsearch14.0ms (0.2%)

Memory
-1.9MiB live, 32.7MiB allocated
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
14.0ms
-5.342628890312946e-288
9.422979862273812e-212
Samples
8.0ms208×0valid
Compiler

Compiled 118 to 116 computations (1.7% saved)

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

simplify20.0ms (0.2%)

Memory
-15.5MiB live, 25.1MiB allocated
Algorithm
1×egg-herbie
Rules
18×+-commutative_binary64
14×*-commutative_binary64
14×sub-neg_binary64
6×neg-sub0_binary64
6×neg-mul-1_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
055340
171340
283340
391340
494340
Stop Event
1×saturated
Calls
Call 1
Inputs
(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y)))
(if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal -1/2 binary64)) (/.f64 x (-.f64 #s(literal 2 binary64) (+.f64 x y))) (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) y)))
(if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal -1/2 binary64)) (/.f64 x (-.f64 #s(literal 2 binary64) (+.f64 x y))) (if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal 5764607523034235/576460752303423488 binary64)) (/.f64 (-.f64 x y) #s(literal 2 binary64)) (/.f64 y (+.f64 y #s(literal -2 binary64)))))
(if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal -1/2 binary64)) (/.f64 x (-.f64 #s(literal 2 binary64) x)) (if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal 5764607523034235/576460752303423488 binary64)) (/.f64 (-.f64 x y) #s(literal 2 binary64)) (/.f64 y (+.f64 y #s(literal -2 binary64)))))
(if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal -5016456510113119/5016456510113118655434598811035278955030765345404790744303017523831112055108147451509157692220295382716162651878526895249385292291816524375083746691371804094271873160484737966720260389217684476157468082176 binary64)) (/.f64 x (-.f64 #s(literal 2 binary64) x)) (/.f64 y (+.f64 y #s(literal -2 binary64))))
(if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal 5764607523034235/576460752303423488 binary64)) (/.f64 x (-.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64))
(if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal -1/2 binary64)) #s(literal -1 binary64) (if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal -578960446186581/57896044618658097711785492504343953926634992332820282019728792003956564819968 binary64)) (*.f64 y (fma.f64 y #s(literal -1/4 binary64) #s(literal -1/2 binary64))) (if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal 5764607523034235/576460752303423488 binary64)) (*.f64 x (fma.f64 x #s(literal 1/4 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64))))
(if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal -1/2 binary64)) #s(literal -1 binary64) (if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal -578960446186581/57896044618658097711785492504343953926634992332820282019728792003956564819968 binary64)) (*.f64 y #s(literal -1/2 binary64)) (if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal 5764607523034235/576460752303423488 binary64)) (*.f64 x (fma.f64 x #s(literal 1/4 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64))))
(if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal -1/2 binary64)) #s(literal -1 binary64) (if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal -578960446186581/57896044618658097711785492504343953926634992332820282019728792003956564819968 binary64)) (*.f64 y #s(literal -1/2 binary64)) (if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal 5764607523034235/576460752303423488 binary64)) (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal -944473296573929/18889465931478580854784 binary64)) #s(literal -1 binary64) (if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal 5764607523034235/576460752303423488 binary64)) (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal -20240225330731/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392 binary64)) #s(literal -1 binary64) #s(literal 1 binary64))
#s(literal -1 binary64)
Outputs
(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y)))
(if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal -1/2 binary64)) (/.f64 x (-.f64 #s(literal 2 binary64) (+.f64 x y))) (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) y)))
(if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal -1/2 binary64)) (/.f64 x (-.f64 #s(literal 2 binary64) (+.f64 x y))) (if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal 5764607523034235/576460752303423488 binary64)) (/.f64 (-.f64 x y) #s(literal 2 binary64)) (/.f64 y (+.f64 y #s(literal -2 binary64)))))
(if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal -1/2 binary64)) (/.f64 x (-.f64 #s(literal 2 binary64) x)) (if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal 5764607523034235/576460752303423488 binary64)) (/.f64 (-.f64 x y) #s(literal 2 binary64)) (/.f64 y (+.f64 y #s(literal -2 binary64)))))
(if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal -5016456510113119/5016456510113118655434598811035278955030765345404790744303017523831112055108147451509157692220295382716162651878526895249385292291816524375083746691371804094271873160484737966720260389217684476157468082176 binary64)) (/.f64 x (-.f64 #s(literal 2 binary64) x)) (/.f64 y (+.f64 y #s(literal -2 binary64))))
(if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal 5764607523034235/576460752303423488 binary64)) (/.f64 x (-.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64))
(if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal -1/2 binary64)) #s(literal -1 binary64) (if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal -578960446186581/57896044618658097711785492504343953926634992332820282019728792003956564819968 binary64)) (*.f64 y (fma.f64 y #s(literal -1/4 binary64) #s(literal -1/2 binary64))) (if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal 5764607523034235/576460752303423488 binary64)) (*.f64 x (fma.f64 x #s(literal 1/4 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64))))
(if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal -1/2 binary64)) #s(literal -1 binary64) (if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal -578960446186581/57896044618658097711785492504343953926634992332820282019728792003956564819968 binary64)) (*.f64 y #s(literal -1/2 binary64)) (if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal 5764607523034235/576460752303423488 binary64)) (*.f64 x (fma.f64 x #s(literal 1/4 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64))))
(if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal -1/2 binary64)) #s(literal -1 binary64) (if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal -578960446186581/57896044618658097711785492504343953926634992332820282019728792003956564819968 binary64)) (*.f64 y #s(literal -1/2 binary64)) (if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal 5764607523034235/576460752303423488 binary64)) (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal -944473296573929/18889465931478580854784 binary64)) #s(literal -1 binary64) (if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal 5764607523034235/576460752303423488 binary64)) (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal -20240225330731/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392 binary64)) #s(literal -1 binary64) #s(literal 1 binary64))
#s(literal -1 binary64)

soundness1.1s (13%)

Memory
35.4MiB live, 791.2MiB allocated
Rules
12 344×accelerator-lowering-fma.f32
12 344×accelerator-lowering-fma.f64
12 038×accelerator-lowering-fma.f32
12 038×accelerator-lowering-fma.f64
9 338×accelerator-lowering-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04552243
114522091
245301967
084831859
03611851
110831727
232171692
085211605
01641174
14971109
214771091
344771055
08183976
0186985
1571921
21809857
37607851
08573806
Stop Event
1×fuel
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
Compiler

Compiled 572 to 230 computations (59.8% saved)

preprocess69.0ms (0.8%)

Memory
-14.4MiB live, 141.3MiB allocated
Compiler

Compiled 740 to 140 computations (81.1% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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