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

Time bar (total: 7.9s)

analyze17.0ms (0.2%)

Memory
3.3MiB live, 42.2MiB 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)

sample662.0ms (8.4%)

Memory
1.8MiB live, 1 073.0MiB allocated
Samples
460.0ms8 255×0valid
0.0ms1×2valid
Precisions
Click to see histograms. Total time spent on operations: 225.0ms
ival-sub: 109.0ms (48.4% of total)
ival-div: 57.0ms (25.3% of total)
ival-add: 46.0ms (20.4% of total)
exact: 5.0ms (2.2% of total)
ival-true: 5.0ms (2.2% of total)
ival-assert: 3.0ms (1.3% of total)
adjust: 0.0ms (0% of total)
Bogosity

preprocess140.0ms (1.8%)

Memory
-3.6MiB live, 75.5MiB 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)))

explain208.0ms (2.7%)

Memory
15.1MiB live, 174.5MiB 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
27.0ms512×0valid
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 (36.1% of total)
ival-add: 4.0ms (28.9% of total)
ival-div: 3.0ms (21.6% of total)
ival-true: 1.0ms (7.2% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

eval0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Compiler

Compiled 2 to 2 computations (0% saved)

prune1.0ms (0%)

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

Compiled 11 to 7 computations (36.4% saved)

simplify48.0ms (0.6%)

Memory
-18.7MiB live, 59.2MiB 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)

localize21.0ms (0.3%)

Memory
14.1MiB live, 53.3MiB 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
13.0ms256×0valid
Compiler

Compiled 25 to 9 computations (64% saved)

Precisions
Click to see histograms. Total time spent on operations: 6.0ms
ival-sub: 3.0ms (46.2% of total)
ival-div: 2.0ms (30.8% of total)
ival-add: 1.0ms (15.4% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series7.0ms (0.1%)

Memory
-28.5MiB live, 12.5MiB 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
2.0ms
y
@-inf
(/ (- x y) (- 2 (+ x y)))
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)))

rewrite390.0ms (5%)

Memory
14.5MiB live, 577.5MiB 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))) (-.f64 #s(literal 0 binary64) 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))) (-.f64 #s(literal 0 binary64) 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 (-.f64 #s(literal 0 binary64) 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 (-.f64 #s(literal 0 binary64) 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 (-.f64 #s(literal 0 binary64) 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 (-.f64 #s(literal 0 binary64) 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 (-.f64 #s(literal 0 binary64) 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 (-.f64 #s(literal 0 binary64) 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 (-.f64 #s(literal 0 binary64) y) x) #s(literal 4 binary64))) #s(literal 2 binary64)) (*.f64 (/.f64 (-.f64 x y) (fma.f64 (+.f64 x y) (-.f64 (-.f64 #s(literal 0 binary64) y) x) #s(literal 4 binary64))) (+.f64 x y)))
(+.f64 (*.f64 (/.f64 (-.f64 x y) (fma.f64 (+.f64 x y) (-.f64 (-.f64 #s(literal 0 binary64) y) x) #s(literal 4 binary64))) (+.f64 x y)) (*.f64 (/.f64 (-.f64 x y) (fma.f64 (+.f64 x y) (-.f64 (-.f64 #s(literal 0 binary64) y) x) #s(literal 4 binary64))) #s(literal 2 binary64)))
(+.f64 (*.f64 (/.f64 (-.f64 x y) (fma.f64 (+.f64 x y) (-.f64 (-.f64 #s(literal 0 binary64) y) x) #s(literal 4 binary64))) (+.f64 x #s(literal 2 binary64))) (*.f64 (/.f64 (-.f64 x y) (fma.f64 (+.f64 x y) (-.f64 (-.f64 #s(literal 0 binary64) y) x) #s(literal 4 binary64))) y))
(+.f64 (*.f64 (/.f64 (-.f64 x y) (fma.f64 (+.f64 x y) (-.f64 (-.f64 #s(literal 0 binary64) y) x) #s(literal 4 binary64))) (+.f64 y #s(literal 2 binary64))) (*.f64 (/.f64 (-.f64 x y) (fma.f64 (+.f64 x y) (-.f64 (-.f64 #s(literal 0 binary64) 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 (-.f64 #s(literal 0 binary64) 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 (-.f64 #s(literal 0 binary64) 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 (-.f64 #s(literal 0 binary64) 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 (-.f64 #s(literal 0 binary64) 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 (-.f64 #s(literal 0 binary64) 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 (-.f64 #s(literal 0 binary64) y) x)) #s(literal 8 binary64)))))
(+.f64 (*.f64 #s(literal 2 binary64) (/.f64 (-.f64 x y) (fma.f64 (+.f64 x y) (-.f64 (-.f64 #s(literal 0 binary64) y) x) #s(literal 4 binary64)))) (*.f64 (+.f64 x y) (/.f64 (-.f64 x y) (fma.f64 (+.f64 x y) (-.f64 (-.f64 #s(literal 0 binary64) y) x) #s(literal 4 binary64)))))
(+.f64 (*.f64 (+.f64 x y) (/.f64 (-.f64 x y) (fma.f64 (+.f64 x y) (-.f64 (-.f64 #s(literal 0 binary64) y) x) #s(literal 4 binary64)))) (*.f64 #s(literal 2 binary64) (/.f64 (-.f64 x y) (fma.f64 (+.f64 x y) (-.f64 (-.f64 #s(literal 0 binary64) y) x) #s(literal 4 binary64)))))
(+.f64 (*.f64 (+.f64 x #s(literal 2 binary64)) (/.f64 (-.f64 x y) (fma.f64 (+.f64 x y) (-.f64 (-.f64 #s(literal 0 binary64) y) x) #s(literal 4 binary64)))) (*.f64 y (/.f64 (-.f64 x y) (fma.f64 (+.f64 x y) (-.f64 (-.f64 #s(literal 0 binary64) y) x) #s(literal 4 binary64)))))
(+.f64 (*.f64 (+.f64 y #s(literal 2 binary64)) (/.f64 (-.f64 x y) (fma.f64 (+.f64 x y) (-.f64 (-.f64 #s(literal 0 binary64) y) x) #s(literal 4 binary64)))) (*.f64 x (/.f64 (-.f64 x y) (fma.f64 (+.f64 x y) (-.f64 (-.f64 #s(literal 0 binary64) 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))))
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(*.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 (-.f64 #s(literal 0 binary64) y) x))
(*.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 x (-.f64 x y) (*.f64 y y)))))
(*.f64 (*.f64 (+.f64 x y) (-.f64 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 (-.f64 #s(literal 0 binary64) y) (-.f64 (-.f64 #s(literal 0 binary64) 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)))) (-.f64 #s(literal 0 binary64) (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 (-.f64 #s(literal 0 binary64) 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 (-.f64 #s(literal 0 binary64) y) x))
(*.f64 (/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (*.f64 (fma.f64 x (+.f64 x y) (*.f64 y y)) (-.f64 y x))) (-.f64 #s(literal 0 binary64) (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))))

simplify510.0ms (6.5%)

Memory
13.0MiB live, 643.4MiB 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)))))
(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 y #s(literal -2 binary64))))) (/.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 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 (/.f64 x (*.f64 (-.f64 #s(literal 2 binary64) x) (*.f64 (-.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 2 binary64) x)))) (/.f64 #s(literal -1 binary64) (*.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 #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)))
(fma.f64 y (+.f64 (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 #s(literal -1 binary64) (-.f64 #s(literal 2 binary64) x))) (/.f64 x (-.f64 #s(literal 2 binary64) x)))
1
#s(literal 1 binary64)
(- (+ 1 (* -1 (/ x y))) (* -1 (/ (- 2 x) y)))
(+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 2 binary64)) 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 (fma.f64 x #s(literal -2 binary64) #s(literal 2 binary64)) (*.f64 y y)) (+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 2 binary64)) 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 (fma.f64 x #s(literal -2 binary64) #s(literal 2 binary64)) (*.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 (fma.f64 x #s(literal -2 binary64) #s(literal 2 binary64)) y))
(+ 1 (* -1 (/ (- (+ (* 2 x) (/ (* (- 2 x) (- (* 2 x) 2)) y)) 2) y)))
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 (-.f64 #s(literal 2 binary64) x) (/.f64 (fma.f64 #s(literal 2 binary64) 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 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) (/.f64 (*.f64 (fma.f64 #s(literal 2 binary64) 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)) y))
(* -1 y)
(-.f64 #s(literal 0 binary64) y)
(- x y)
(-.f64 x y)
(- x y)
(-.f64 x y)
(- x y)
(-.f64 x y)
x
(* x (+ 1 (* -1 (/ y x))))
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y x)))
(* x (+ 1 (* -1 (/ y x))))
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y x)))
(* x (+ 1 (* -1 (/ y x))))
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y x)))
x
(* -1 (* x (- (/ y x) 1)))
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y x)))
(* -1 (* x (- (/ y x) 1)))
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y x)))
(* -1 (* x (- (/ y x) 1)))
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y x)))
x
(+ x (* -1 y))
(-.f64 x y)
(+ x (* -1 y))
(-.f64 x y)
(+ x (* -1 y))
(-.f64 x y)
(* -1 y)
(-.f64 #s(literal 0 binary64) y)
(* y (- (/ x y) 1))
(*.f64 y (+.f64 #s(literal -1 binary64) (/.f64 x y)))
(* y (- (/ x y) 1))
(*.f64 y (+.f64 #s(literal -1 binary64) (/.f64 x y)))
(* y (- (/ x y) 1))
(*.f64 y (+.f64 #s(literal -1 binary64) (/.f64 x y)))
(* -1 y)
(-.f64 #s(literal 0 binary64) y)
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(*.f64 y (+.f64 #s(literal -1 binary64) (/.f64 x y)))
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(*.f64 y (+.f64 #s(literal -1 binary64) (/.f64 x y)))
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(*.f64 y (+.f64 #s(literal -1 binary64) (/.f64 x 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)
(-.f64 #s(literal 0 binary64) x)
(* x (- (* 2 (/ 1 x)) (+ 1 (/ y x))))
(*.f64 x (+.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 2 binary64) y) x)))
(* x (- (* 2 (/ 1 x)) (+ 1 (/ y x))))
(*.f64 x (+.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 2 binary64) y) x)))
(* x (- (* 2 (/ 1 x)) (+ 1 (/ y x))))
(*.f64 x (+.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 2 binary64) y) x)))
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* -1 (* x (+ 1 (* -1 (/ (- 2 y) x)))))
(*.f64 x (+.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 2 binary64) y) x)))
(* -1 (* x (+ 1 (* -1 (/ (- 2 y) x)))))
(*.f64 x (+.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 2 binary64) y) x)))
(* -1 (* x (+ 1 (* -1 (/ (- 2 y) x)))))
(*.f64 x (+.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 2 binary64) y) 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)
(-.f64 #s(literal 0 binary64) y)
(* y (- (* 2 (/ 1 y)) (+ 1 (/ x y))))
(*.f64 y (+.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 2 binary64) x) y)))
(* y (- (* 2 (/ 1 y)) (+ 1 (/ x y))))
(*.f64 y (+.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 2 binary64) x) y)))
(* y (- (* 2 (/ 1 y)) (+ 1 (/ x y))))
(*.f64 y (+.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 2 binary64) x) y)))
(* -1 y)
(-.f64 #s(literal 0 binary64) y)
(* -1 (* y (+ 1 (* -1 (/ (- 2 x) y)))))
(*.f64 y (+.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 2 binary64) x) y)))
(* -1 (* y (+ 1 (* -1 (/ (- 2 x) y)))))
(*.f64 y (+.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 2 binary64) x) y)))
(* -1 (* y (+ 1 (* -1 (/ (- 2 x) y)))))
(*.f64 y (+.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 2 binary64) x) 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)

eval93.0ms (1.2%)

Memory
-14.7MiB live, 179.8MiB allocated
Compiler

Compiled 19 933 to 1 834 computations (90.8% saved)

prune124.0ms (1.6%)

Memory
1.5MiB live, 213.6MiB allocated
Pruning

10 alts after pruning (9 fresh and 1 done)

PrunedKeptTotal
New6949703
Fresh000
Picked011
Done000
Total69410704
Accuracy
100.0%
Counts
704 → 10
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓100.0%
(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y)))
▶63.6%
(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) x))
60.1%
(/.f64 (*.f64 (-.f64 x y) (+.f64 #s(literal 2 binary64) (+.f64 x y))) (fma.f64 (+.f64 x y) (-.f64 (-.f64 #s(literal 0 binary64) y) x) #s(literal 4 binary64)))
▶87.4%
(/.f64 (*.f64 y (+.f64 #s(literal -1 binary64) (/.f64 x y))) (-.f64 #s(literal 2 binary64) (+.f64 x y)))
52.3%
(/.f64 y (+.f64 y #s(literal -2 binary64)))
▶49.5%
(/.f64 x (-.f64 #s(literal 2 binary64) x))
▶99.9%
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 2 binary64) (+.f64 x y)) (-.f64 x y)))
99.8%
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (+.f64 x y))) (-.f64 x y))
38.6%
#s(literal 1 binary64)
▶35.3%
#s(literal -1 binary64)
Compiler

Compiled 195 to 133 computations (31.8% saved)

simplify408.0ms (5.2%)

Memory
-4.4MiB live, 519.5MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 13 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(/.f64 x y)
✓cost-diff0
(+.f64 #s(literal -1 binary64) (/.f64 x y))
✓cost-diff0
(/.f64 (*.f64 y (+.f64 #s(literal -1 binary64) (/.f64 x y))) (-.f64 #s(literal 2 binary64) (+.f64 x y)))
✓cost-diff1024
(*.f64 y (+.f64 #s(literal -1 binary64) (/.f64 x y)))
✓cost-diff0
(-.f64 #s(literal 2 binary64) x)
✓cost-diff0
(-.f64 x y)
✓cost-diff0
(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) 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
9 802×accelerator-lowering-fma.f32
9 802×accelerator-lowering-fma.f64
2 894×*-lowering-*.f32
2 894×*-lowering-*.f64
1 672×--lowering--.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01796
14496
28592
317592
442392
5114492
6364092
7581492
8693892
9716392
10727692
11749792
12781292
0809892
Stop Event
1×iter limit
1×node limit
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) (- 2 x))
(- x y)
x
y
(- 2 x)
2
(/ (* y (+ -1 (/ x y))) (- 2 (+ x y)))
(* y (+ -1 (/ x y)))
y
(+ -1 (/ x y))
-1
(/ x y)
x
(- 2 (+ x y))
2
(+ x 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) (- 2 x))
(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) x))
(- x y)
(-.f64 x y)
x
y
(- 2 x)
(-.f64 #s(literal 2 binary64) x)
2
#s(literal 2 binary64)
(/ (* y (+ -1 (/ x y))) (- 2 (+ x y)))
(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y)))
(* y (+ -1 (/ x y)))
(-.f64 x y)
y
(+ -1 (/ x y))
(+.f64 #s(literal -1 binary64) (/.f64 x y))
-1
#s(literal -1 binary64)
(/ x y)
(/.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)

localize71.0ms (0.9%)

Memory
24.9MiB live, 63.4MiB allocated
Localize:

Found 13 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(+.f64 x y)
✓accuracy100.0%
(+.f64 #s(literal -1 binary64) (/.f64 x y))
✓accuracy100.0%
(/.f64 (*.f64 y (+.f64 #s(literal -1 binary64) (/.f64 x y))) (-.f64 #s(literal 2 binary64) (+.f64 x y)))
✓accuracy87.9%
(*.f64 y (+.f64 #s(literal -1 binary64) (/.f64 x y)))
✓accuracy100.0%
(-.f64 x y)
✓accuracy100.0%
(-.f64 #s(literal 2 binary64) x)
✓accuracy100.0%
(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) 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))
✓accuracy99.9%
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 2 binary64) (+.f64 x y)) (-.f64 x y)))
Samples
30.0ms256×0valid
Compiler

Compiled 104 to 19 computations (81.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 17.0ms
ival-div: 9.0ms (52.1% of total)
ival-sub: 3.0ms (17.4% of total)
ival-add: 3.0ms (17.4% of total)
ival-mult: 2.0ms (11.6% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series19.0ms (0.2%)

Memory
-12.6MiB live, 25.4MiB allocated
Counts
12 → 264
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) (- 2 x))>
#<alt (- x y)>
#<alt (* y (+ -1 (/ x y)))>
#<alt (/ (* y (+ -1 (/ x y))) (- 2 (+ x y)))>
#<alt (+ -1 (/ 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 (/ (- 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 (* -1/2 y)>
#<alt (+ (* -1/2 y) (* x (- 1/2 (* 1/4 y))))>
#<alt (+ (* -1/2 y) (* x (- (+ 1/2 (* 1/2 (* x (- 1/2 (* 1/4 y))))) (* 1/4 y))))>
#<alt (+ (* -1/2 y) (* x (- (+ 1/2 (* x (- (* 1/4 (* x (- 1/2 (* 1/4 y)))) (* -1/2 (- 1/2 (* 1/4 y)))))) (* 1/4 y))))>
#<alt -1>
#<alt (- (/ y x) (+ 1 (* 2 (/ 1 x))))>
#<alt (- (+ (* 2 (/ (- y 2) (pow x 2))) (/ y x)) (+ 1 (* 2 (/ 1 x))))>
#<alt (- (+ (* 4 (/ (- y 2) (pow x 3))) (/ y x)) (+ 1 (+ (* -2 (/ (- y 2) (pow x 2))) (* 2 (/ 1 x)))))>
#<alt -1>
#<alt (- (/ y x) (+ 1 (* 2 (/ 1 x))))>
#<alt (- (* -1 (/ (+ (* -2 (/ (- y 2) x)) (* -1 (- y 2))) x)) 1)>
#<alt (- (* -1 (/ (+ (* -1 (- y 2)) (* -1 (/ (+ (* 2 (- y 2)) (* 4 (/ (- y 2) x))) x))) x)) 1)>
#<alt (/ x (- 2 x))>
#<alt (+ (* -1 (/ y (- 2 x))) (/ x (- 2 x)))>
#<alt (+ (* -1 (/ y (- 2 x))) (/ x (- 2 x)))>
#<alt (+ (* -1 (/ y (- 2 x))) (/ x (- 2 x)))>
#<alt (* -1 (/ y (- 2 x)))>
#<alt (* y (- (/ x (* y (- 2 x))) (/ 1 (- 2 x))))>
#<alt (* y (- (/ x (* y (- 2 x))) (/ 1 (- 2 x))))>
#<alt (* y (- (/ x (* y (- 2 x))) (/ 1 (- 2 x))))>
#<alt (* -1 (/ y (- 2 x)))>
#<alt (* -1 (* y (+ (* -1 (/ x (* y (- 2 x)))) (/ 1 (- 2 x)))))>
#<alt (* -1 (* y (+ (* -1 (/ x (* y (- 2 x)))) (/ 1 (- 2 x)))))>
#<alt (* -1 (* y (+ (* -1 (/ x (* y (- 2 x)))) (/ 1 (- 2 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 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 (+ x (* -1 y))>
#<alt (+ x (* -1 y))>
#<alt (+ x (* -1 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 (- 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 (/ x y))) (* -1 (/ (- 2 x) y)))>
#<alt (+ 1 (* -1 (/ (+ (* -1 (- (* -1 x) (* -1 (- 2 x)))) (* -1 (/ (* (- 2 x) (- (* -1 x) (* -1 (- 2 x)))) y))) y)))>
#<alt (+ 1 (* -1 (/ (+ (* -1 (- (* -1 x) (* -1 (- 2 x)))) (* -1 (/ (+ (* (- 2 x) (- (* -1 x) (* -1 (- 2 x)))) (/ (* (pow (- 2 x) 2) (- (* -1 x) (* -1 (- 2 x)))) y)) y))) y)))>
#<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 -1>
#<alt (- (/ x y) 1)>
#<alt (- (/ x y) 1)>
#<alt (- (/ x y) 1)>
#<alt (/ x y)>
#<alt (* x (- (/ 1 y) (/ 1 x)))>
#<alt (* x (- (/ 1 y) (/ 1 x)))>
#<alt (* x (- (/ 1 y) (/ 1 x)))>
#<alt (/ x y)>
#<alt (* -1 (* x (- (/ 1 x) (/ 1 y))))>
#<alt (* -1 (* x (- (/ 1 x) (/ 1 y))))>
#<alt (* -1 (* x (- (/ 1 x) (/ 1 y))))>
#<alt (/ x y)>
#<alt (/ (+ x (* -1 y)) y)>
#<alt (/ (+ x (* -1 y)) y)>
#<alt (/ (+ x (* -1 y)) y)>
#<alt -1>
#<alt (- (/ x y) 1)>
#<alt (- (/ x y) 1)>
#<alt (- (/ x y) 1)>
#<alt -1>
#<alt (- (/ x y) 1)>
#<alt (- (/ x y) 1)>
#<alt (- (/ x y) 1)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
Calls

66 calls:

TimeVariablePointExpression
4.0ms
x
@0
(/ 1 (/ (- 2 (+ x y)) (- x y)))
1.0ms
y
@0
(/ (- 2 (+ x y)) (- x y))
1.0ms
y
@inf
(* y (+ -1 (/ x y)))
1.0ms
x
@0
(/ (- 2 (+ x y)) (- x y))
0.0ms
y
@-inf
(* y (+ -1 (/ x y)))

rewrite428.0ms (5.4%)

Memory
9.7MiB live, 609.5MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
4 930×/-lowering-/.f32
4 930×/-lowering-/.f64
3 236×*-lowering-*.f32
3 236×*-lowering-*.f64
3 008×accelerator-lowering-fma.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01768
112964
2115464
0856764
Stop Event
1×iter limit
1×node limit
Counts
12 → 933
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) (- 2 x))
(- x y)
(* y (+ -1 (/ x y)))
(/ (* y (+ -1 (/ x y))) (- 2 (+ x y)))
(+ -1 (/ x y))
(/ x y)
Outputs
(+.f64 (/.f64 x (-.f64 #s(literal 2 binary64) (+.f64 x y))) (/.f64 (-.f64 #s(literal 0 binary64) y) (-.f64 #s(literal 2 binary64) (+.f64 x 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 (/.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))) (-.f64 #s(literal 0 binary64) y)))
(exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 #s(literal 2 binary64) (+.f64 x y)) (-.f64 x y))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 (-.f64 x 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 2 binary64) (+.f64 x y))))
(-.f64 (/.f64 (/.f64 (*.f64 x (*.f64 x x)) (fma.f64 y (+.f64 x y) (*.f64 x x))) (-.f64 #s(literal 2 binary64) (+.f64 x y))) (/.f64 (/.f64 (*.f64 y (*.f64 y y)) (fma.f64 y (+.f64 x y) (*.f64 x x))) (-.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 #s(literal -2 binary64) (+.f64 x y))) (/.f64 (-.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 y (+.f64 x y) (*.f64 x x)))) (/.f64 (*.f64 y (*.f64 y y)) (*.f64 (-.f64 #s(literal 2 binary64) (+.f64 x y)) (fma.f64 y (+.f64 x y) (*.f64 x x)))))
(-.f64 (/.f64 (*.f64 x x) (*.f64 (-.f64 #s(literal 2 binary64) (+.f64 x y)) (+.f64 x y))) (/.f64 (*.f64 y y) (*.f64 (-.f64 #s(literal 2 binary64) (+.f64 x y)) (+.f64 x y))))
(-.f64 (/.f64 (/.f64 x (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal 1 binary64)) (/.f64 (/.f64 y (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal 1 binary64)))
(fma.f64 x (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (+.f64 x y))) (/.f64 (-.f64 #s(literal 0 binary64) y) (-.f64 #s(literal 2 binary64) (+.f64 x y))))
(fma.f64 x (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (+.f64 x y))) (neg.f64 (/.f64 y (-.f64 #s(literal 2 binary64) (+.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))) (-.f64 #s(literal 0 binary64) y)))
(neg.f64 (/.f64 (-.f64 x y) (+.f64 #s(literal -2 binary64) (+.f64 x y))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 2 binary64) (+.f64 x y)) (-.f64 x y)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 2 binary64) (+.f64 x y)) (fma.f64 y (+.f64 x y) (*.f64 x x))) (*.f64 (fma.f64 y (+.f64 x y) (*.f64 x x)) (-.f64 x y))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 2 binary64) (+.f64 x y)) (+.f64 x y)) (*.f64 (+.f64 x y) (-.f64 x y))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y (+.f64 x y) (*.f64 x x)) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (+.f64 x y))) (*.f64 (fma.f64 y (+.f64 x y) (*.f64 x x)) (-.f64 x y)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x y) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (+.f64 x y))) (*.f64 (+.f64 x y) (-.f64 x y)))))
(/.f64 y (/.f64 (-.f64 #s(literal 2 binary64) (+.f64 x y)) (+.f64 #s(literal -1 binary64) (/.f64 x y))))
(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y)))
(/.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 2 binary64) (+.f64 x y)) (-.f64 y x)))
(/.f64 (-.f64 y x) (+.f64 #s(literal -2 binary64) (+.f64 x y)))
(/.f64 (*.f64 (fma.f64 y (+.f64 x y) (*.f64 x x)) (-.f64 x y)) (*.f64 (-.f64 #s(literal 2 binary64) (+.f64 x y)) (fma.f64 y (+.f64 x y) (*.f64 x x))))
(/.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal 1 binary64))
(/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (+.f64 x y))) (/.f64 #s(literal 1 binary64) (-.f64 x y)))
(/.f64 (*.f64 (+.f64 x y) (-.f64 x y)) (*.f64 (-.f64 #s(literal 2 binary64) (+.f64 x y)) (+.f64 x y)))
(/.f64 (/.f64 (-.f64 x y) (+.f64 #s(literal -2 binary64) (+.f64 x y))) #s(literal -1 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (+.f64 x y) (-.f64 x y))) (neg.f64 (*.f64 (-.f64 #s(literal 2 binary64) (+.f64 x y)) (+.f64 x y))))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (fma.f64 y (+.f64 x y) (*.f64 x x)) (-.f64 x y))) (neg.f64 (*.f64 (-.f64 #s(literal 2 binary64) (+.f64 x y)) (fma.f64 y (+.f64 x y) (*.f64 x x)))))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (+.f64 x y))) (*.f64 (fma.f64 y (+.f64 x y) (*.f64 x x)) (-.f64 x y))) (fma.f64 y (+.f64 x y) (*.f64 x x)))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (+.f64 x y))) (*.f64 (+.f64 x y) (-.f64 x y))) (+.f64 x y))
(/.f64 (-.f64 (*.f64 x (-.f64 #s(literal 2 binary64) (+.f64 x y))) (*.f64 (-.f64 #s(literal 2 binary64) (+.f64 x y)) y)) (*.f64 (-.f64 #s(literal 2 binary64) (+.f64 x y)) (-.f64 #s(literal 2 binary64) (+.f64 x y))))
(/.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (+.f64 x y)))) (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (-.f64 x y))))
(/.f64 (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (+.f64 x y))) (*.f64 (fma.f64 y (+.f64 x y) (*.f64 x x)) (-.f64 x y)))) (-.f64 #s(literal 0 binary64) (fma.f64 y (+.f64 x y) (*.f64 x x))))
(/.f64 (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (+.f64 x y))) (*.f64 (+.f64 x y) (-.f64 x y)))) (-.f64 #s(literal 0 binary64) (+.f64 x y)))
(/.f64 (+.f64 (pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (+.f64 x y))) x) #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (+.f64 x y))) (-.f64 #s(literal 0 binary64) y)) #s(literal 3 binary64))) (fma.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))) x) (-.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (+.f64 x y))) (-.f64 #s(literal 0 binary64) y)) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (+.f64 x y))) (-.f64 #s(literal 0 binary64) y))) (*.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))) (-.f64 #s(literal 0 binary64) y))))))
(/.f64 (+.f64 (pow.f64 (/.f64 x (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal 3 binary64)) (pow.f64 (/.f64 (-.f64 #s(literal 0 binary64) y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal 3 binary64))) (fma.f64 (/.f64 x (-.f64 #s(literal 2 binary64) (+.f64 x y))) (/.f64 x (-.f64 #s(literal 2 binary64) (+.f64 x y))) (-.f64 (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) (/.f64 (-.f64 #s(literal 0 binary64) y) (-.f64 #s(literal 2 binary64) (+.f64 x y)))) (*.f64 (/.f64 x (-.f64 #s(literal 2 binary64) (+.f64 x y))) (/.f64 (-.f64 #s(literal 0 binary64) y) (-.f64 #s(literal 2 binary64) (+.f64 x y)))))))
(/.f64 (-.f64 (pow.f64 (/.f64 x (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal 3 binary64)) (pow.f64 (/.f64 y (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal 3 binary64))) (fma.f64 (/.f64 x (-.f64 #s(literal 2 binary64) (+.f64 x y))) (/.f64 x (-.f64 #s(literal 2 binary64) (+.f64 x y))) (fma.f64 (/.f64 y (-.f64 #s(literal 2 binary64) (+.f64 x y))) (/.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 2 binary64) (+.f64 x y)))))))
(/.f64 (-.f64 (*.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))) x)) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (+.f64 x y))) (-.f64 #s(literal 0 binary64) y)) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (+.f64 x y))) (-.f64 #s(literal 0 binary64) y)))) (-.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))) (-.f64 #s(literal 0 binary64) y))))
(/.f64 (-.f64 (*.f64 (/.f64 x (-.f64 #s(literal 2 binary64) (+.f64 x y))) (/.f64 x (-.f64 #s(literal 2 binary64) (+.f64 x y)))) (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) (/.f64 (-.f64 #s(literal 0 binary64) y) (-.f64 #s(literal 2 binary64) (+.f64 x y))))) (-.f64 (/.f64 x (-.f64 #s(literal 2 binary64) (+.f64 x y))) (/.f64 (-.f64 #s(literal 0 binary64) y) (-.f64 #s(literal 2 binary64) (+.f64 x y)))))
(/.f64 (-.f64 (*.f64 (/.f64 x (-.f64 #s(literal 2 binary64) (+.f64 x y))) (/.f64 x (-.f64 #s(literal 2 binary64) (+.f64 x y)))) (*.f64 (/.f64 y (-.f64 #s(literal 2 binary64) (+.f64 x y))) (/.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 2 binary64) (+.f64 x y)))))
(pow.f64 (/.f64 (-.f64 #s(literal 2 binary64) (+.f64 x y)) (-.f64 x y)) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal 1 binary64))
(pow.f64 (pow.f64 (/.f64 (-.f64 #s(literal 2 binary64) (+.f64 x y)) (-.f64 x y)) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 (/.f64 (-.f64 #s(literal 2 binary64) (+.f64 x y)) (-.f64 x y)) (/.f64 (-.f64 #s(literal 2 binary64) (+.f64 x y)) (-.f64 x y))) #s(literal -1/2 binary64))
(pow.f64 (exp.f64 (log.f64 (/.f64 (-.f64 #s(literal 2 binary64) (+.f64 x y)) (-.f64 x y)))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))))
(*.f64 y (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 x y)) (-.f64 #s(literal 2 binary64) (+.f64 x y))))
(*.f64 (-.f64 x y) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (+.f64 x y))))
(*.f64 #s(literal -1 binary64) (/.f64 (-.f64 x y) (+.f64 #s(literal -2 binary64) (+.f64 x y))))
(*.f64 (+.f64 #s(literal -1 binary64) (/.f64 x y)) (/.f64 y (-.f64 #s(literal 2 binary64) (+.f64 x y))))
(*.f64 (-.f64 y x) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -2 binary64) (+.f64 x y))))
(*.f64 (*.f64 (fma.f64 y (+.f64 x y) (*.f64 x x)) (-.f64 x y)) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 2 binary64) (+.f64 x y)) (fma.f64 y (+.f64 x y) (*.f64 x x)))))
(*.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal 1 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (+.f64 x y))) (-.f64 x y))
(*.f64 (*.f64 (+.f64 x y) (-.f64 x y)) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 2 binary64) (+.f64 x y)) (+.f64 x y))))
(*.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 x y)) (-.f64 #s(literal 2 binary64) (+.f64 x y))) y)
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -2 binary64) (+.f64 x y))) (-.f64 y x))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -2 binary64) (+.f64 x y))) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 y x)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (-.f64 #s(literal 2 binary64) (+.f64 x y)) (-.f64 x y)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (-.f64 #s(literal 2 binary64) (+.f64 x y)) (-.f64 x y)) #s(literal -1/2 binary64)))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (+.f64 x y))) (*.f64 (fma.f64 y (+.f64 x y) (*.f64 x x)) (-.f64 x y))) (/.f64 #s(literal 1 binary64) (fma.f64 y (+.f64 x y) (*.f64 x x))))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (+.f64 x y))) (*.f64 (+.f64 x y) (-.f64 x y))) (/.f64 #s(literal 1 binary64) (+.f64 x y)))
(*.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 x y)) (-.f64 #s(literal 8 binary64) (*.f64 (+.f64 x y) (*.f64 (+.f64 x y) (+.f64 x y))))) (/.f64 y (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 x y) (+.f64 #s(literal 2 binary64) (+.f64 x y)) #s(literal 4 binary64)))))
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(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (/.f64 x y))) #s(literal 3 binary64)) (pow.f64 (/.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (-.f64 #s(literal -1 binary64) (/.f64 x y))) #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (/.f64 x y))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (/.f64 x y))) (fma.f64 (/.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (-.f64 #s(literal -1 binary64) (/.f64 x y))) (/.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (-.f64 #s(literal -1 binary64) (/.f64 x y))) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (/.f64 x y))) (/.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (-.f64 #s(literal -1 binary64) (/.f64 x y)))))))
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (/.f64 x y))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (/.f64 x y)))) (*.f64 (/.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (-.f64 #s(literal -1 binary64) (/.f64 x y))) (/.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (-.f64 #s(literal -1 binary64) (/.f64 x y))))) (+.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (/.f64 x y))) (/.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (-.f64 #s(literal -1 binary64) (/.f64 x y)))))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 x y))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 x y)))
(*.f64 (+.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y)))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 x y) (+.f64 (/.f64 x y) #s(literal 1 binary64)) #s(literal 1 binary64))))
(*.f64 (+.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y)))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (+.f64 #s(literal 1 binary64) (/.f64 x y)))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) (*.f64 y y))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (/.f64 x y))))
(*.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 (/.f64 x y) (+.f64 (/.f64 x y) #s(literal 1 binary64)) #s(literal 1 binary64)))))
(*.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) (*.f64 y y)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal -1 binary64) (/.f64 x y)))))
(*.f64 (+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 x y) #s(literal 1 binary64))))
(exp.f64 (*.f64 (log.f64 (/.f64 y x)) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (/.f64 x y)))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) y)) (-.f64 #s(literal 0 binary64) (/.f64 x y)))
(neg.f64 (-.f64 #s(literal 0 binary64) (/.f64 x y)))
(/.f64 #s(literal 1 binary64) (/.f64 y x))
(/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 #s(literal 0 binary64) (/.f64 y x))))
(/.f64 x y)
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 y x)))
(/.f64 (-.f64 #s(literal 0 binary64) x) (-.f64 #s(literal 0 binary64) y))
(pow.f64 (/.f64 y x) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 x y))
(*.f64 x (/.f64 #s(literal 1 binary64) y))
(*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 x y)))
(*.f64 (/.f64 x y) #s(literal 1 binary64))
(*.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 #s(literal -1 binary64) y))
(*.f64 (/.f64 #s(literal 1 binary64) y) x)
(*.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 x #s(literal -1 binary64)))

simplify744.0ms (9.5%)

Memory
-24.0MiB live, 615.8MiB allocated
Algorithm
1×egg-herbie
Rules
7 630×accelerator-lowering-fma.f32
7 630×accelerator-lowering-fma.f64
4 676×*-lowering-*.f32
4 676×*-lowering-*.f64
3 644×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04272862
113352662
241992614
084332462
Stop Event
1×iter limit
1×node limit
Counts
264 → 264
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)))))
(* -1/2 y)
(+ (* -1/2 y) (* x (- 1/2 (* 1/4 y))))
(+ (* -1/2 y) (* x (- (+ 1/2 (* 1/2 (* x (- 1/2 (* 1/4 y))))) (* 1/4 y))))
(+ (* -1/2 y) (* x (- (+ 1/2 (* x (- (* 1/4 (* x (- 1/2 (* 1/4 y)))) (* -1/2 (- 1/2 (* 1/4 y)))))) (* 1/4 y))))
-1
(- (/ y x) (+ 1 (* 2 (/ 1 x))))
(- (+ (* 2 (/ (- y 2) (pow x 2))) (/ y x)) (+ 1 (* 2 (/ 1 x))))
(- (+ (* 4 (/ (- y 2) (pow x 3))) (/ y x)) (+ 1 (+ (* -2 (/ (- y 2) (pow x 2))) (* 2 (/ 1 x)))))
-1
(- (/ y x) (+ 1 (* 2 (/ 1 x))))
(- (* -1 (/ (+ (* -2 (/ (- y 2) x)) (* -1 (- y 2))) x)) 1)
(- (* -1 (/ (+ (* -1 (- y 2)) (* -1 (/ (+ (* 2 (- y 2)) (* 4 (/ (- y 2) x))) x))) x)) 1)
(/ x (- 2 x))
(+ (* -1 (/ y (- 2 x))) (/ x (- 2 x)))
(+ (* -1 (/ y (- 2 x))) (/ x (- 2 x)))
(+ (* -1 (/ y (- 2 x))) (/ x (- 2 x)))
(* -1 (/ y (- 2 x)))
(* y (- (/ x (* y (- 2 x))) (/ 1 (- 2 x))))
(* y (- (/ x (* y (- 2 x))) (/ 1 (- 2 x))))
(* y (- (/ x (* y (- 2 x))) (/ 1 (- 2 x))))
(* -1 (/ y (- 2 x)))
(* -1 (* y (+ (* -1 (/ x (* y (- 2 x)))) (/ 1 (- 2 x)))))
(* -1 (* y (+ (* -1 (/ x (* y (- 2 x)))) (/ 1 (- 2 x)))))
(* -1 (* y (+ (* -1 (/ x (* y (- 2 x)))) (/ 1 (- 2 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)))))
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)
(+ x (* -1 y))
(+ x (* -1 y))
(+ x (* -1 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 (- 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 (/ x y))) (* -1 (/ (- 2 x) y)))
(+ 1 (* -1 (/ (+ (* -1 (- (* -1 x) (* -1 (- 2 x)))) (* -1 (/ (* (- 2 x) (- (* -1 x) (* -1 (- 2 x)))) y))) y)))
(+ 1 (* -1 (/ (+ (* -1 (- (* -1 x) (* -1 (- 2 x)))) (* -1 (/ (+ (* (- 2 x) (- (* -1 x) (* -1 (- 2 x)))) (/ (* (pow (- 2 x) 2) (- (* -1 x) (* -1 (- 2 x)))) y)) y))) y)))
(* -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)
-1
(- (/ x y) 1)
(- (/ x y) 1)
(- (/ x y) 1)
(/ x y)
(* x (- (/ 1 y) (/ 1 x)))
(* x (- (/ 1 y) (/ 1 x)))
(* x (- (/ 1 y) (/ 1 x)))
(/ x y)
(* -1 (* x (- (/ 1 x) (/ 1 y))))
(* -1 (* x (- (/ 1 x) (/ 1 y))))
(* -1 (* x (- (/ 1 x) (/ 1 y))))
(/ x y)
(/ (+ x (* -1 y)) y)
(/ (+ x (* -1 y)) y)
(/ (+ x (* -1 y)) y)
-1
(- (/ x y) 1)
(- (/ x y) 1)
(- (/ x y) 1)
-1
(- (/ x y) 1)
(- (/ x y) 1)
(- (/ x y) 1)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
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 y #s(literal -2 binary64))))) (/.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 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) y)) (fma.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 x (-.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 (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 (-.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 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
#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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(fma.f64 x (fma.f64 x (*.f64 (fma.f64 y #s(literal -1/4 binary64) #s(literal 1/2 binary64)) (fma.f64 x #s(literal 1/4 binary64) #s(literal 1/2 binary64))) (fma.f64 y #s(literal -1/4 binary64) #s(literal 1/2 binary64))) (*.f64 y #s(literal -1/2 binary64)))
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#s(literal -1 binary64)
(- (/ y x) (+ 1 (* 2 (/ 1 x))))
(+.f64 (/.f64 (+.f64 y #s(literal -2 binary64)) x) #s(literal -1 binary64))
(- (+ (* 2 (/ (- y 2) (pow x 2))) (/ y x)) (+ 1 (* 2 (/ 1 x))))
(+.f64 (+.f64 (/.f64 (+.f64 y #s(literal -2 binary64)) x) #s(literal -1 binary64)) (/.f64 (fma.f64 y #s(literal 2 binary64) #s(literal -4 binary64)) (*.f64 x x)))
(- (+ (* 4 (/ (- y 2) (pow x 3))) (/ y x)) (+ 1 (+ (* -2 (/ (- y 2) (pow x 2))) (* 2 (/ 1 x)))))
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-1
#s(literal -1 binary64)
(- (/ y x) (+ 1 (* 2 (/ 1 x))))
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(- (* -1 (/ (+ (* -2 (/ (- y 2) x)) (* -1 (- y 2))) x)) 1)
(-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -2 binary64) (/.f64 (+.f64 y #s(literal -2 binary64)) x) (-.f64 #s(literal 2 binary64) y)) x))
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(/ x (- 2 x))
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(+.f64 (/.f64 x (-.f64 #s(literal 2 binary64) x)) (/.f64 y (+.f64 x #s(literal -2 binary64))))
(* -1 (/ y (- 2 x)))
(/.f64 y (+.f64 x #s(literal -2 binary64)))
(* y (- (/ x (* y (- 2 x))) (/ 1 (- 2 x))))
(fma.f64 y (/.f64 x (*.f64 y (-.f64 #s(literal 2 binary64) x))) (/.f64 y (+.f64 x #s(literal -2 binary64))))
(* y (- (/ x (* y (- 2 x))) (/ 1 (- 2 x))))
(fma.f64 y (/.f64 x (*.f64 y (-.f64 #s(literal 2 binary64) x))) (/.f64 y (+.f64 x #s(literal -2 binary64))))
(* y (- (/ x (* y (- 2 x))) (/ 1 (- 2 x))))
(fma.f64 y (/.f64 x (*.f64 y (-.f64 #s(literal 2 binary64) x))) (/.f64 y (+.f64 x #s(literal -2 binary64))))
(* -1 (/ y (- 2 x)))
(/.f64 y (+.f64 x #s(literal -2 binary64)))
(* -1 (* y (+ (* -1 (/ x (* y (- 2 x)))) (/ 1 (- 2 x)))))
(fma.f64 y (/.f64 x (*.f64 y (-.f64 #s(literal 2 binary64) x))) (/.f64 y (+.f64 x #s(literal -2 binary64))))
(* -1 (* y (+ (* -1 (/ x (* y (- 2 x)))) (/ 1 (- 2 x)))))
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(* -1 (* y (+ (* -1 (/ x (* y (- 2 x)))) (/ 1 (- 2 x)))))
(fma.f64 y (/.f64 x (*.f64 y (-.f64 #s(literal 2 binary64) x))) (/.f64 y (+.f64 x #s(literal -2 binary64))))
(* -1 y)
(-.f64 #s(literal 0 binary64) y)
(- x y)
(-.f64 x y)
(- x y)
(-.f64 x y)
(- x y)
(-.f64 x y)
x
(* x (+ 1 (* -1 (/ y x))))
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y x)))
(* x (+ 1 (* -1 (/ y x))))
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y x)))
(* x (+ 1 (* -1 (/ y x))))
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y x)))
x
(* -1 (* x (- (/ y x) 1)))
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y x)))
(* -1 (* x (- (/ y x) 1)))
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y x)))
(* -1 (* x (- (/ y x) 1)))
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y x)))
x
(+ x (* -1 y))
(-.f64 x y)
(+ x (* -1 y))
(-.f64 x y)
(+ x (* -1 y))
(-.f64 x y)
(* -1 y)
(-.f64 #s(literal 0 binary64) y)
(* y (- (/ x y) 1))
(*.f64 y (+.f64 #s(literal -1 binary64) (/.f64 x y)))
(* y (- (/ x y) 1))
(*.f64 y (+.f64 #s(literal -1 binary64) (/.f64 x y)))
(* y (- (/ x y) 1))
(*.f64 y (+.f64 #s(literal -1 binary64) (/.f64 x y)))
(* -1 y)
(-.f64 #s(literal 0 binary64) y)
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(*.f64 y (+.f64 #s(literal -1 binary64) (/.f64 x y)))
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(*.f64 y (+.f64 #s(literal -1 binary64) (/.f64 x y)))
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(*.f64 y (+.f64 #s(literal -1 binary64) (/.f64 x y)))
x
(+ x (* -1 y))
(-.f64 x y)
(+ x (* -1 y))
(-.f64 x y)
(+ x (* -1 y))
(-.f64 x y)
(* -1 y)
(-.f64 #s(literal 0 binary64) y)
(* y (- (/ x y) 1))
(*.f64 y (+.f64 #s(literal -1 binary64) (/.f64 x y)))
(* y (- (/ x y) 1))
(*.f64 y (+.f64 #s(literal -1 binary64) (/.f64 x y)))
(* y (- (/ x y) 1))
(*.f64 y (+.f64 #s(literal -1 binary64) (/.f64 x y)))
(* -1 y)
(-.f64 #s(literal 0 binary64) y)
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(*.f64 y (+.f64 #s(literal -1 binary64) (/.f64 x y)))
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(*.f64 y (+.f64 #s(literal -1 binary64) (/.f64 x y)))
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(*.f64 y (+.f64 #s(literal -1 binary64) (/.f64 x y)))
(* -1 y)
(-.f64 #s(literal 0 binary64) y)
(+ x (* -1 y))
(-.f64 x y)
(+ x (* -1 y))
(-.f64 x y)
(+ x (* -1 y))
(-.f64 x y)
x
(* x (+ 1 (* -1 (/ y x))))
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y x)))
(* x (+ 1 (* -1 (/ y x))))
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y x)))
(* x (+ 1 (* -1 (/ y x))))
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y x)))
x
(* -1 (* x (- (/ y x) 1)))
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y x)))
(* -1 (* x (- (/ y x) 1)))
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y x)))
(* -1 (* x (- (/ y x) 1)))
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y 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 (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 #s(literal -1 binary64) (*.f64 (-.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 2 binary64) x)))) (+.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)))
(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 (/.f64 x (*.f64 (-.f64 #s(literal 2 binary64) x) (*.f64 (-.f64 #s(literal 2 binary64) x) (+.f64 x #s(literal -2 binary64))))) (/.f64 #s(literal 1 binary64) (*.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 #s(literal -1 binary64) (-.f64 #s(literal 2 binary64) x))) (/.f64 x (-.f64 #s(literal 2 binary64) x)))
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)))
(+.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 2 binary64) x) (/.f64 (-.f64 (-.f64 #s(literal 2 binary64) x) x) (*.f64 y y)) (/.f64 (-.f64 (-.f64 #s(literal 2 binary64) 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 #s(literal 1 binary64) (fma.f64 (*.f64 (-.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 2 binary64) x)) (/.f64 (-.f64 (-.f64 #s(literal 2 binary64) x) x) (*.f64 y (*.f64 y y))) (fma.f64 (-.f64 #s(literal 2 binary64) x) (/.f64 (-.f64 (-.f64 #s(literal 2 binary64) x) x) (*.f64 y y)) (/.f64 (-.f64 (-.f64 #s(literal 2 binary64) x) x) y))))
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 (/ (+ (* -1 (- (* -1 x) (* -1 (- 2 x)))) (* -1 (/ (* (- 2 x) (- (* -1 x) (* -1 (- 2 x)))) y))) y)))
(+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (-.f64 #s(literal 2 binary64) x) (/.f64 (-.f64 (-.f64 #s(literal 2 binary64) x) x) y) (-.f64 (-.f64 #s(literal 2 binary64) x) x)) y))
(+ 1 (* -1 (/ (+ (* -1 (- (* -1 x) (* -1 (- 2 x)))) (* -1 (/ (+ (* (- 2 x) (- (* -1 x) (* -1 (- 2 x)))) (/ (* (pow (- 2 x) 2) (- (* -1 x) (* -1 (- 2 x)))) y)) y))) y)))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (-.f64 (-.f64 #s(literal 2 binary64) x) x) (/.f64 (fma.f64 (-.f64 #s(literal 2 binary64) x) (-.f64 (-.f64 #s(literal 2 binary64) x) x) (*.f64 (-.f64 #s(literal 2 binary64) x) (*.f64 (-.f64 #s(literal 2 binary64) x) (/.f64 (-.f64 (-.f64 #s(literal 2 binary64) x) x) y)))) y)) y))
(* -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 y #s(literal -2 binary64))))) (/.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 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) y)) (fma.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 x (-.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 (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 (-.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 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
#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))
-1
#s(literal -1 binary64)
(- (/ x y) 1)
(+.f64 #s(literal -1 binary64) (/.f64 x y))
(- (/ x y) 1)
(+.f64 #s(literal -1 binary64) (/.f64 x y))
(- (/ x y) 1)
(+.f64 #s(literal -1 binary64) (/.f64 x y))
(/ x y)
(/.f64 x y)
(* x (- (/ 1 y) (/ 1 x)))
(+.f64 #s(literal -1 binary64) (/.f64 x y))
(* x (- (/ 1 y) (/ 1 x)))
(+.f64 #s(literal -1 binary64) (/.f64 x y))
(* x (- (/ 1 y) (/ 1 x)))
(+.f64 #s(literal -1 binary64) (/.f64 x y))
(/ x y)
(/.f64 x y)
(* -1 (* x (- (/ 1 x) (/ 1 y))))
(+.f64 #s(literal -1 binary64) (/.f64 x y))
(* -1 (* x (- (/ 1 x) (/ 1 y))))
(+.f64 #s(literal -1 binary64) (/.f64 x y))
(* -1 (* x (- (/ 1 x) (/ 1 y))))
(+.f64 #s(literal -1 binary64) (/.f64 x y))
(/ x y)
(/.f64 x y)
(/ (+ x (* -1 y)) y)
(+.f64 #s(literal -1 binary64) (/.f64 x y))
(/ (+ x (* -1 y)) y)
(+.f64 #s(literal -1 binary64) (/.f64 x y))
(/ (+ x (* -1 y)) y)
(+.f64 #s(literal -1 binary64) (/.f64 x y))
-1
#s(literal -1 binary64)
(- (/ x y) 1)
(+.f64 #s(literal -1 binary64) (/.f64 x y))
(- (/ x y) 1)
(+.f64 #s(literal -1 binary64) (/.f64 x y))
(- (/ x y) 1)
(+.f64 #s(literal -1 binary64) (/.f64 x y))
-1
#s(literal -1 binary64)
(- (/ x y) 1)
(+.f64 #s(literal -1 binary64) (/.f64 x y))
(- (/ x y) 1)
(+.f64 #s(literal -1 binary64) (/.f64 x y))
(- (/ x y) 1)
(+.f64 #s(literal -1 binary64) (/.f64 x y))
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)

eval365.0ms (4.6%)

Memory
18.4MiB live, 354.3MiB allocated
Compiler

Compiled 36 398 to 3 240 computations (91.1% saved)

prune221.0ms (2.8%)

Memory
18.3MiB live, 469.4MiB allocated
Pruning

14 alts after pruning (8 fresh and 6 done)

PrunedKeptTotal
New1 56361 569
Fresh224
Picked055
Done011
Total1 565141 579
Accuracy
100.0%
Counts
1 579 → 14
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓100.0%
(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y)))
✓63.6%
(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) x))
29.3%
(/.f64 (-.f64 x y) #s(literal 2 binary64))
✓87.4%
(/.f64 (*.f64 y (+.f64 #s(literal -1 binary64) (/.f64 x y))) (-.f64 #s(literal 2 binary64) (+.f64 x y)))
▶52.3%
(/.f64 y (+.f64 y #s(literal -2 binary64)))
✓49.5%
(/.f64 x (-.f64 #s(literal 2 binary64) x))
✓99.9%
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 2 binary64) (+.f64 x y)) (-.f64 x y)))
▶52.3%
(/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal -2 binary64) y) #s(literal 1 binary64)))
▶35.6%
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) x))
▶16.6%
(*.f64 y #s(literal -1/2 binary64))
15.4%
(*.f64 x (fma.f64 x #s(literal 1/4 binary64) #s(literal 1/2 binary64)))
15.7%
(*.f64 x #s(literal 1/2 binary64))
▶38.6%
#s(literal 1 binary64)
✓35.3%
#s(literal -1 binary64)
Compiler

Compiled 160 to 120 computations (25% saved)

simplify5.0ms (0.1%)

Memory
-25.2MiB live, 13.8MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(/.f64 #s(literal -2 binary64) y)
✓cost-diff0
(+.f64 (/.f64 #s(literal -2 binary64) y) #s(literal 1 binary64))
✓cost-diff0
(/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal -2 binary64) y) #s(literal 1 binary64)))
✓cost-diff0
(/.f64 #s(literal -2 binary64) x)
✓cost-diff0
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) x))
✓cost-diff0
(*.f64 y #s(literal -1/2 binary64))
✓cost-diff0
(+.f64 y #s(literal -2 binary64))
✓cost-diff0
(/.f64 y (+.f64 y #s(literal -2 binary64)))
Rules
12×+-lowering-+.f64
12×+-lowering-+.f32
8×/-lowering-/.f32
8×/-lowering-/.f64
6×+-commutative
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01445
12045
02045
Stop Event
1×iter limit
1×saturated
Calls
Call 1
Inputs
(/ y (+ y -2))
y
(+ y -2)
-2
1
(* y -1/2)
y
-1/2
(+ -1 (/ -2 x))
-1
(/ -2 x)
-2
x
(/ 1 (+ (/ -2 y) 1))
1
(+ (/ -2 y) 1)
(/ -2 y)
-2
y
Outputs
(/ 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)
1
#s(literal 1 binary64)
(* y -1/2)
(*.f64 y #s(literal -1/2 binary64))
y
-1/2
#s(literal -1/2 binary64)
(+ -1 (/ -2 x))
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) x))
-1
#s(literal -1 binary64)
(/ -2 x)
(/.f64 #s(literal -2 binary64) x)
-2
#s(literal -2 binary64)
x
(/ 1 (+ (/ -2 y) 1))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) y)))
1
#s(literal 1 binary64)
(+ (/ -2 y) 1)
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) y))
(/ -2 y)
(/.f64 #s(literal -2 binary64) y)
-2
#s(literal -2 binary64)
y

localize41.0ms (0.5%)

Memory
18.1MiB live, 97.5MiB allocated
Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(/.f64 #s(literal -2 binary64) y)
✓accuracy100.0%
(+.f64 (/.f64 #s(literal -2 binary64) y) #s(literal 1 binary64))
✓accuracy99.9%
(/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal -2 binary64) y) #s(literal 1 binary64)))
✓accuracy100.0%
(/.f64 #s(literal -2 binary64) x)
✓accuracy100.0%
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) x))
✓accuracy100.0%
(*.f64 y #s(literal -1/2 binary64))
✓accuracy100.0%
(+.f64 y #s(literal -2 binary64))
✓accuracy100.0%
(/.f64 y (+.f64 y #s(literal -2 binary64)))
Samples
26.0ms256×0valid
Compiler

Compiled 47 to 16 computations (66% saved)

Precisions
Click to see histograms. Total time spent on operations: 16.0ms
ival-div: 9.0ms (56.3% of total)
ival-add: 4.0ms (25% of total)
ival-mult: 2.0ms (12.5% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series4.0ms (0.1%)

Memory
9.9MiB live, 9.9MiB allocated
Counts
8 → 96
Calls
Call 1
Inputs
#<alt (/ y (+ y -2))>
#<alt (+ y -2)>
#<alt (* y -1/2)>
#<alt (+ -1 (/ -2 x))>
#<alt (/ -2 x)>
#<alt (/ 1 (+ (/ -2 y) 1))>
#<alt (+ (/ -2 y) 1)>
#<alt (/ -2 y)>
Outputs
#<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 (* -1/2 y)>
#<alt (* -1/2 y)>
#<alt (* -1/2 y)>
#<alt (* -1/2 y)>
#<alt (* -1/2 y)>
#<alt (* -1/2 y)>
#<alt (* -1/2 y)>
#<alt (* -1/2 y)>
#<alt (* -1/2 y)>
#<alt (* -1/2 y)>
#<alt (* -1/2 y)>
#<alt (* -1/2 y)>
#<alt (/ -2 x)>
#<alt (/ (- (* -1 x) 2) x)>
#<alt (/ (- (* -1 x) 2) x)>
#<alt (/ (- (* -1 x) 2) x)>
#<alt -1>
#<alt (* -1 (+ 1 (* 2 (/ 1 x))))>
#<alt (* -1 (+ 1 (* 2 (/ 1 x))))>
#<alt (* -1 (+ 1 (* 2 (/ 1 x))))>
#<alt -1>
#<alt (* -1 (+ 1 (* 2 (/ 1 x))))>
#<alt (* -1 (+ 1 (* 2 (/ 1 x))))>
#<alt (* -1 (+ 1 (* 2 (/ 1 x))))>
#<alt (/ -2 x)>
#<alt (/ -2 x)>
#<alt (/ -2 x)>
#<alt (/ -2 x)>
#<alt (/ -2 x)>
#<alt (/ -2 x)>
#<alt (/ -2 x)>
#<alt (/ -2 x)>
#<alt (/ -2 x)>
#<alt (/ -2 x)>
#<alt (/ -2 x)>
#<alt (/ -2 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 y)>
#<alt (/ (- y 2) y)>
#<alt (/ (- y 2) y)>
#<alt (/ (- y 2) y)>
#<alt 1>
#<alt (- 1 (* 2 (/ 1 y)))>
#<alt (- 1 (* 2 (/ 1 y)))>
#<alt (- 1 (* 2 (/ 1 y)))>
#<alt 1>
#<alt (- 1 (* 2 (/ 1 y)))>
#<alt (- 1 (* 2 (/ 1 y)))>
#<alt (- 1 (* 2 (/ 1 y)))>
#<alt (/ -2 y)>
#<alt (/ -2 y)>
#<alt (/ -2 y)>
#<alt (/ -2 y)>
#<alt (/ -2 y)>
#<alt (/ -2 y)>
#<alt (/ -2 y)>
#<alt (/ -2 y)>
#<alt (/ -2 y)>
#<alt (/ -2 y)>
#<alt (/ -2 y)>
#<alt (/ -2 y)>
Calls

24 calls:

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

rewrite313.0ms (4%)

Memory
-1.8MiB live, 623.0MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
4 386×accelerator-lowering-fma.f32
4 386×accelerator-lowering-fma.f64
3 462×*-lowering-*.f32
3 462×*-lowering-*.f64
3 236×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01434
18634
259534
3727234
0873534
Stop Event
1×iter limit
1×node limit
Counts
8 → 400
Calls
Call 1
Inputs
(/ y (+ y -2))
(+ y -2)
(* y -1/2)
(+ -1 (/ -2 x))
(/ -2 x)
(/ 1 (+ (/ -2 y) 1))
(+ (/ -2 y) 1)
(/ -2 y)
Outputs
(+.f64 (*.f64 (/.f64 y (fma.f64 y (*.f64 y y) #s(literal -8 binary64))) (*.f64 y y)) (*.f64 (/.f64 y (fma.f64 y (*.f64 y y) #s(literal -8 binary64))) (fma.f64 y #s(literal 2 binary64) #s(literal 4 binary64))))
(+.f64 (*.f64 (/.f64 y (fma.f64 y (*.f64 y y) #s(literal -8 binary64))) (fma.f64 y #s(literal 2 binary64) #s(literal 4 binary64))) (*.f64 (/.f64 y (fma.f64 y (*.f64 y y) #s(literal -8 binary64))) (*.f64 y y)))
(+.f64 (*.f64 (/.f64 y (fma.f64 y y #s(literal -4 binary64))) y) (*.f64 (/.f64 y (fma.f64 y y #s(literal -4 binary64))) #s(literal 2 binary64)))
(+.f64 (*.f64 (*.f64 y y) (/.f64 y (fma.f64 y (*.f64 y y) #s(literal -8 binary64)))) (*.f64 (fma.f64 y #s(literal 2 binary64) #s(literal 4 binary64)) (/.f64 y (fma.f64 y (*.f64 y y) #s(literal -8 binary64)))))
(+.f64 (*.f64 (fma.f64 y #s(literal 2 binary64) #s(literal 4 binary64)) (/.f64 y (fma.f64 y (*.f64 y y) #s(literal -8 binary64)))) (*.f64 (*.f64 y y) (/.f64 y (fma.f64 y (*.f64 y y) #s(literal -8 binary64)))))
(+.f64 (*.f64 y (/.f64 y (fma.f64 y y #s(literal -4 binary64)))) (*.f64 #s(literal 2 binary64) (/.f64 y (fma.f64 y y #s(literal -4 binary64)))))
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 y #s(literal -2 binary64)) y)) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 y (-.f64 #s(literal 2 binary64) y)))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 2 binary64) y)) (/.f64 y (-.f64 #s(literal 2 binary64) y)))
(fma.f64 y (/.f64 y (fma.f64 y y #s(literal -4 binary64))) (*.f64 #s(literal 2 binary64) (/.f64 y (fma.f64 y y #s(literal -4 binary64)))))
(fma.f64 (*.f64 y y) (/.f64 y (fma.f64 y (*.f64 y y) #s(literal -8 binary64))) (*.f64 (fma.f64 y #s(literal 2 binary64) #s(literal 4 binary64)) (/.f64 y (fma.f64 y (*.f64 y y) #s(literal -8 binary64)))))
(fma.f64 (fma.f64 y #s(literal 2 binary64) #s(literal 4 binary64)) (/.f64 y (fma.f64 y (*.f64 y y) #s(literal -8 binary64))) (*.f64 (*.f64 y y) (/.f64 y (fma.f64 y (*.f64 y y) #s(literal -8 binary64)))))
(fma.f64 (/.f64 y (fma.f64 y (*.f64 y y) #s(literal -8 binary64))) (*.f64 y y) (*.f64 (/.f64 y (fma.f64 y (*.f64 y y) #s(literal -8 binary64))) (fma.f64 y #s(literal 2 binary64) #s(literal 4 binary64))))
(fma.f64 (/.f64 y (fma.f64 y (*.f64 y y) #s(literal -8 binary64))) (fma.f64 y #s(literal 2 binary64) #s(literal 4 binary64)) (*.f64 (/.f64 y (fma.f64 y (*.f64 y y) #s(literal -8 binary64))) (*.f64 y y)))
(fma.f64 (/.f64 y (fma.f64 y y #s(literal -4 binary64))) y (*.f64 (/.f64 y (fma.f64 y y #s(literal -4 binary64))) #s(literal 2 binary64)))
(neg.f64 (/.f64 y (-.f64 #s(literal 2 binary64) y)))
(neg.f64 (*.f64 #s(literal 1 binary64) (/.f64 y (-.f64 #s(literal 2 binary64) y))))
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 (+.f64 y #s(literal -2 binary64)) y)))
(/.f64 y (+.f64 y #s(literal -2 binary64)))
(/.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 2 binary64) y) y))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 y #s(literal -2 binary64)) y))
(/.f64 (-.f64 #s(literal 0 binary64) y) (-.f64 #s(literal 2 binary64) y))
(/.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 2 binary64) y)) (/.f64 #s(literal 1 binary64) y))
(/.f64 (/.f64 y (fma.f64 y (*.f64 y y) #s(literal -8 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y (+.f64 y #s(literal 2 binary64)) #s(literal 4 binary64))))
(/.f64 (/.f64 y (fma.f64 y y #s(literal -4 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 2 binary64))))
(/.f64 (*.f64 y (fma.f64 y (+.f64 y #s(literal 2 binary64)) #s(literal 4 binary64))) (fma.f64 y (*.f64 y y) #s(literal -8 binary64)))
(/.f64 (*.f64 y (+.f64 y #s(literal 2 binary64))) (fma.f64 y y #s(literal -4 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) y) #s(literal 1 binary64)) (-.f64 #s(literal 2 binary64) y))
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) y)) (-.f64 #s(literal 2 binary64) y))
(/.f64 (*.f64 (/.f64 y (fma.f64 y (*.f64 y y) #s(literal -8 binary64))) (fma.f64 (fma.f64 y #s(literal 2 binary64) #s(literal 4 binary64)) (*.f64 (fma.f64 y #s(literal 2 binary64) #s(literal 4 binary64)) (fma.f64 y #s(literal 2 binary64) #s(literal 4 binary64))) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))))) (fma.f64 (fma.f64 y #s(literal 2 binary64) #s(literal 4 binary64)) (-.f64 (fma.f64 y #s(literal 2 binary64) #s(literal 4 binary64)) (*.f64 y y)) (*.f64 y (*.f64 y (*.f64 y y)))))
(/.f64 (*.f64 (/.f64 y (fma.f64 y (*.f64 y y) #s(literal -8 binary64))) (*.f64 (fma.f64 y (+.f64 y #s(literal 2 binary64)) #s(literal 4 binary64)) (+.f64 (fma.f64 y y #s(literal -4 binary64)) (*.f64 y #s(literal -2 binary64))))) (+.f64 (fma.f64 y y #s(literal -4 binary64)) (*.f64 y #s(literal -2 binary64))))
(/.f64 (*.f64 (/.f64 y (fma.f64 y y #s(literal -4 binary64))) (fma.f64 y y #s(literal -4 binary64))) (+.f64 y #s(literal -2 binary64)))
(/.f64 (*.f64 (/.f64 y (fma.f64 y y #s(literal -4 binary64))) (fma.f64 y (*.f64 y y) #s(literal 8 binary64))) (fma.f64 y y (fma.f64 y #s(literal -2 binary64) #s(literal 4 binary64))))
(pow.f64 (/.f64 (+.f64 y #s(literal -2 binary64)) y) #s(literal -1 binary64))
(*.f64 y (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 2 binary64) y)))
(*.f64 (/.f64 y (+.f64 y #s(literal -2 binary64))) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 y (-.f64 #s(literal 2 binary64) y)))
(*.f64 #s(literal 1 binary64) (/.f64 y (+.f64 y #s(literal -2 binary64))))
(*.f64 (-.f64 #s(literal 0 binary64) y) (/.f64 #s(literal -1 binary64) (+.f64 y #s(literal -2 binary64))))
(*.f64 (fma.f64 y (+.f64 y #s(literal 2 binary64)) #s(literal 4 binary64)) (/.f64 y (fma.f64 y (*.f64 y y) #s(literal -8 binary64))))
(*.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 2 binary64) y)) y)
(*.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 2 binary64) y)) (pow.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)))
(*.f64 (+.f64 y #s(literal 2 binary64)) (/.f64 y (fma.f64 y y #s(literal -4 binary64))))
(*.f64 (/.f64 #s(literal -1 binary64) (+.f64 y #s(literal -2 binary64))) (-.f64 #s(literal 0 binary64) y))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y y) #s(literal -8 binary64))) (*.f64 y (fma.f64 y (+.f64 y #s(literal 2 binary64)) #s(literal 4 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal -4 binary64))) (*.f64 y (+.f64 y #s(literal 2 binary64))))
(*.f64 (/.f64 y (fma.f64 y (*.f64 y y) #s(literal -8 binary64))) (fma.f64 y (+.f64 y #s(literal 2 binary64)) #s(literal 4 binary64)))
(*.f64 (/.f64 y (fma.f64 y (*.f64 y y) #s(literal -8 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y (+.f64 y #s(literal 2 binary64)) #s(literal 4 binary64)))))
(*.f64 (/.f64 y (fma.f64 y y #s(literal -4 binary64))) (+.f64 y #s(literal 2 binary64)))
(*.f64 (/.f64 y (fma.f64 y y #s(literal -4 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 2 binary64)))))
(*.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) y)) (/.f64 #s(literal -1 binary64) (+.f64 y #s(literal -2 binary64))))
(*.f64 (pow.f64 (/.f64 (+.f64 y #s(literal -2 binary64)) y) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (+.f64 y #s(literal -2 binary64)) y) #s(literal -1/2 binary64)))
(*.f64 (*.f64 #s(literal 1 binary64) (/.f64 y (fma.f64 y (*.f64 y y) #s(literal -8 binary64)))) (fma.f64 y (+.f64 y #s(literal 2 binary64)) #s(literal 4 binary64)))
(*.f64 (*.f64 #s(literal 1 binary64) (/.f64 y (fma.f64 y y #s(literal -4 binary64)))) (+.f64 y #s(literal 2 binary64)))
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) y) (fma.f64 y (*.f64 y y) #s(literal -8 binary64))) (-.f64 #s(literal 0 binary64) (fma.f64 y (+.f64 y #s(literal 2 binary64)) #s(literal 4 binary64))))
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) y) (fma.f64 y y #s(literal -4 binary64))) (+.f64 (-.f64 #s(literal 0 binary64) y) #s(literal -2 binary64)))
(*.f64 (/.f64 y (-.f64 #s(literal 0 binary64) (fma.f64 y (*.f64 y y) #s(literal -8 binary64)))) (-.f64 #s(literal 0 binary64) (fma.f64 y (+.f64 y #s(literal 2 binary64)) #s(literal 4 binary64))))
(*.f64 (/.f64 y (-.f64 #s(literal 0 binary64) (fma.f64 y y #s(literal -4 binary64)))) (+.f64 (-.f64 #s(literal 0 binary64) y) #s(literal -2 binary64)))
(*.f64 (/.f64 y (-.f64 #s(literal 4 binary64) (*.f64 y y))) (-.f64 #s(literal -2 binary64) y))
(+.f64 y #s(literal -2 binary64))
(+.f64 #s(literal -2 binary64) y)
(+.f64 (/.f64 (*.f64 y y) (+.f64 y #s(literal 2 binary64))) (neg.f64 (/.f64 #s(literal 4 binary64) (+.f64 y #s(literal 2 binary64)))))
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 2 binary64) y))
(-.f64 (/.f64 (*.f64 y y) (+.f64 y #s(literal 2 binary64))) (/.f64 #s(literal 4 binary64) (+.f64 y #s(literal 2 binary64))))
(-.f64 (/.f64 #s(literal 4 binary64) (-.f64 #s(literal -2 binary64) y)) (/.f64 (*.f64 y y) (-.f64 #s(literal -2 binary64) y)))
(-.f64 (/.f64 (/.f64 (*.f64 y y) (+.f64 y #s(literal 2 binary64))) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 4 binary64) (+.f64 y #s(literal 2 binary64))) #s(literal 1 binary64)))
(fma.f64 y #s(literal 1 binary64) #s(literal -2 binary64))
(fma.f64 y (/.f64 y (+.f64 y #s(literal 2 binary64))) (neg.f64 (/.f64 #s(literal 4 binary64) (+.f64 y #s(literal 2 binary64)))))
(fma.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) y) #s(literal -2 binary64))
(fma.f64 #s(literal 1 binary64) y #s(literal -2 binary64))
(fma.f64 (*.f64 y y) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 2 binary64))) (neg.f64 (/.f64 #s(literal 4 binary64) (+.f64 y #s(literal 2 binary64)))))
(fma.f64 (/.f64 (*.f64 y y) (fma.f64 y y #s(literal -4 binary64))) (+.f64 y #s(literal -2 binary64)) (neg.f64 (/.f64 #s(literal 4 binary64) (+.f64 y #s(literal 2 binary64)))))
(fma.f64 (/.f64 (*.f64 y y) (fma.f64 y (*.f64 y y) #s(literal 8 binary64))) (fma.f64 y y (fma.f64 y #s(literal -2 binary64) #s(literal 4 binary64))) (neg.f64 (/.f64 #s(literal 4 binary64) (+.f64 y #s(literal 2 binary64)))))
(neg.f64 (-.f64 #s(literal 2 binary64) y))
(/.f64 (+.f64 y #s(literal -2 binary64)) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 y #s(literal -2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 2 binary64) y)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 2 binary64) y)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -2 binary64) y) (-.f64 #s(literal 4 binary64) (*.f64 y y))))
(/.f64 (-.f64 #s(literal 2 binary64) y) #s(literal -1 binary64))
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(/.f64 (*.f64 (+.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal -8 binary64) (*.f64 y (*.f64 y y))))) #s(literal 1 binary64)) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 4 binary64) y) #s(literal -2 binary64)) y))))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 4 binary64) (*.f64 y y)))) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) y)))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) (*.f64 y y))) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) y)))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -512 binary64) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y)))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 4 binary64) y) #s(literal -2 binary64)) y)))) (+.f64 (/.f64 #s(literal 64 binary64) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y)))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -8 binary64) (*.f64 y (*.f64 y y))))))
(/.f64 (*.f64 (+.f64 (/.f64 #s(literal 64 binary64) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 4 binary64) y) #s(literal -2 binary64)) y)))) (+.f64 (/.f64 #s(literal -8 binary64) (*.f64 y (*.f64 y y))) #s(literal -1 binary64)))
(/.f64 (*.f64 (+.f64 (/.f64 #s(literal 64 binary64) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y)))) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) y)))) (+.f64 (fma.f64 (/.f64 #s(literal -2 binary64) y) (/.f64 #s(literal -8 binary64) (*.f64 y (*.f64 y y))) #s(literal 1 binary64)) (/.f64 #s(literal 4 binary64) (*.f64 y y))))
(/.f64 (*.f64 (fma.f64 (/.f64 #s(literal 4 binary64) (*.f64 y y)) (/.f64 #s(literal 4 binary64) (*.f64 y y)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) y)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) (*.f64 y y))))
(/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) y)) #s(literal -1/2 binary64))) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) y)) #s(literal -1/2 binary64)))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -8 binary64) (*.f64 y (*.f64 y y)))))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 4 binary64) y) #s(literal -2 binary64)) y)))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 4 binary64) (*.f64 y y))))) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) y)))
(pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) y)) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) y))) #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) y)))
(*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) y)))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) y)) #s(literal 1 binary64))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) y)) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) y)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) y))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) y)) (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) y)) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) y)))))
(*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) y)) #s(literal -1 binary64))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -8 binary64) (*.f64 y (*.f64 y y)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 4 binary64) y) #s(literal -2 binary64)) y))))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -8 binary64) (*.f64 y (*.f64 y y)))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 4 binary64) y) #s(literal -2 binary64)) y))) #s(literal 1 binary64)))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -8 binary64) (*.f64 y (*.f64 y y)))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 4 binary64) y) #s(literal -2 binary64)) y))) #s(literal 1 binary64)))
(*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 4 binary64) (*.f64 y y))) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) y))))
(*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 4 binary64) (*.f64 y y))) (/.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) y))) #s(literal 1 binary64)))
(*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 4 binary64) (*.f64 y y))) (*.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) y))) #s(literal 1 binary64)))
(*.f64 (+.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal -8 binary64) (*.f64 y (*.f64 y y))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 4 binary64) y) #s(literal -2 binary64)) y)))))
(*.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 4 binary64) (*.f64 y y)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) y))))
(*.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) y))) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 4 binary64) (*.f64 y y))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 4 binary64) y) #s(literal -2 binary64)) y))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -8 binary64) (*.f64 y (*.f64 y y)))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) (*.f64 y y))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) y))))
(*.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 4 binary64) (*.f64 y y))) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 4 binary64) (*.f64 y y)))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) y)))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) (*.f64 y y))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) (*.f64 y y)))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) y)))
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -8 binary64) (*.f64 y (*.f64 y y)))) (fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) y)) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) y)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) y))) (/.f64 #s(literal 64 binary64) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y)))))) (fma.f64 (/.f64 #s(literal -2 binary64) y) (/.f64 #s(literal -8 binary64) (*.f64 y (*.f64 y y))) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) y)) (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) y)) (/.f64 #s(literal 4 binary64) (*.f64 y y))))))
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -8 binary64) (*.f64 y (*.f64 y y)))) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 4 binary64) y) #s(literal -2 binary64)) y)) (+.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 4 binary64) (*.f64 y y))) (/.f64 #s(literal -2 binary64) y)))) (+.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 4 binary64) (*.f64 y y))) (/.f64 #s(literal -2 binary64) y)))
(*.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 4 binary64) (*.f64 y y))) (+.f64 (/.f64 #s(literal -8 binary64) (*.f64 y (*.f64 y y))) #s(literal -1 binary64))) (fma.f64 (/.f64 #s(literal -2 binary64) y) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) y)) #s(literal 1 binary64)))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) (*.f64 y y))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -8 binary64) (*.f64 y (*.f64 y y))))) (fma.f64 (/.f64 #s(literal -2 binary64) y) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) y)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 y #s(literal -1/2 binary64))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal 2 binary64) y))
(neg.f64 (/.f64 #s(literal 2 binary64) y))
(/.f64 #s(literal -2 binary64) y)
(/.f64 #s(literal -1 binary64) (*.f64 y #s(literal 1/2 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 y #s(literal -1/2 binary64)))
(/.f64 #s(literal 2 binary64) (-.f64 #s(literal 0 binary64) y))
(/.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1/2 binary64))
(pow.f64 (*.f64 y #s(literal -1/2 binary64)) #s(literal -1 binary64))
(*.f64 #s(literal -2 binary64) (/.f64 #s(literal 1 binary64) y))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) y))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) y))
(*.f64 (/.f64 #s(literal -2 binary64) y) #s(literal 1 binary64))
(*.f64 #s(literal 2 binary64) (/.f64 #s(literal -1 binary64) y))
(*.f64 #s(literal 2 binary64) (*.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -2 binary64))
(*.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 2 binary64))
(*.f64 (pow.f64 (*.f64 y #s(literal -1/2 binary64)) #s(literal -1/2 binary64)) (pow.f64 (*.f64 y #s(literal -1/2 binary64)) #s(literal -1/2 binary64)))

simplify615.0ms (7.8%)

Memory
-12.6MiB live, 382.5MiB allocated
Algorithm
1×egg-herbie
Rules
9 868×accelerator-lowering-fma.f32
9 868×accelerator-lowering-fma.f64
2 172×*-lowering-*.f32
2 172×*-lowering-*.f64
1 824×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
069455
1159455
2326446
3620446
41693430
54032430
66259430
77970430
08115418
Stop Event
1×iter limit
1×node limit
Counts
96 → 96
Calls
Call 1
Inputs
(* -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)))
(* -1/2 y)
(* -1/2 y)
(* -1/2 y)
(* -1/2 y)
(* -1/2 y)
(* -1/2 y)
(* -1/2 y)
(* -1/2 y)
(* -1/2 y)
(* -1/2 y)
(* -1/2 y)
(* -1/2 y)
(/ -2 x)
(/ (- (* -1 x) 2) x)
(/ (- (* -1 x) 2) x)
(/ (- (* -1 x) 2) x)
-1
(* -1 (+ 1 (* 2 (/ 1 x))))
(* -1 (+ 1 (* 2 (/ 1 x))))
(* -1 (+ 1 (* 2 (/ 1 x))))
-1
(* -1 (+ 1 (* 2 (/ 1 x))))
(* -1 (+ 1 (* 2 (/ 1 x))))
(* -1 (+ 1 (* 2 (/ 1 x))))
(/ -2 x)
(/ -2 x)
(/ -2 x)
(/ -2 x)
(/ -2 x)
(/ -2 x)
(/ -2 x)
(/ -2 x)
(/ -2 x)
(/ -2 x)
(/ -2 x)
(/ -2 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)
(/ (- y 2) y)
(/ (- y 2) y)
(/ (- y 2) y)
1
(- 1 (* 2 (/ 1 y)))
(- 1 (* 2 (/ 1 y)))
(- 1 (* 2 (/ 1 y)))
1
(- 1 (* 2 (/ 1 y)))
(- 1 (* 2 (/ 1 y)))
(- 1 (* 2 (/ 1 y)))
(/ -2 y)
(/ -2 y)
(/ -2 y)
(/ -2 y)
(/ -2 y)
(/ -2 y)
(/ -2 y)
(/ -2 y)
(/ -2 y)
(/ -2 y)
(/ -2 y)
(/ -2 y)
Outputs
(* -1/2 y)
(fma.f64 #s(literal -1/2 binary64) y #s(literal 0 binary64))
(* y (- (* -1/4 y) 1/2))
(fma.f64 y (fma.f64 y #s(literal -1/4 binary64) #s(literal -1/2 binary64)) #s(literal 0 binary64))
(* y (- (* y (- (* -1/8 y) 1/4)) 1/2))
(fma.f64 y (fma.f64 y (fma.f64 y #s(literal -1/8 binary64) #s(literal -1/4 binary64)) #s(literal -1/2 binary64)) #s(literal 0 binary64))
(* y (- (* y (- (* y (- (* -1/16 y) 1/8)) 1/4)) 1/2))
(fma.f64 y (fma.f64 y (fma.f64 y (fma.f64 y #s(literal -1/16 binary64) #s(literal -1/8 binary64)) #s(literal -1/4 binary64)) #s(literal -1/2 binary64)) #s(literal 0 binary64))
1
#s(literal 1 binary64)
(+ 1 (* 2 (/ 1 y)))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) y))
(+ 1 (+ (* 2 (/ 1 y)) (/ 4 (pow y 2))))
(+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 2 binary64) y) (/.f64 #s(literal 4 binary64) (fma.f64 y y #s(literal 0 binary64)))))
(+ 1 (+ (* 2 (/ 1 y)) (+ (* 8 (/ 1 (pow y 3))) (/ 4 (pow y 2)))))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal 4 binary64) (/.f64 #s(literal 8 binary64) y)) y)) y))
1
#s(literal 1 binary64)
(+ 1 (* 2 (/ 1 y)))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) y))
(+ 1 (+ (* 2 (/ 1 y)) (/ 4 (pow y 2))))
(+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 2 binary64) y) (/.f64 #s(literal 4 binary64) (fma.f64 y y #s(literal 0 binary64)))))
(+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (* 8 (/ 1 y))) y)) 2) y)))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal 4 binary64) (/.f64 #s(literal 8 binary64) y)) y)) y))
-2
#s(literal -2 binary64)
(- y 2)
(+.f64 y #s(literal -2 binary64))
(- y 2)
(+.f64 y #s(literal -2 binary64))
(- y 2)
(+.f64 y #s(literal -2 binary64))
y
(* y (- 1 (* 2 (/ 1 y))))
(+.f64 y #s(literal -2 binary64))
(* y (- 1 (* 2 (/ 1 y))))
(+.f64 y #s(literal -2 binary64))
(* y (- 1 (* 2 (/ 1 y))))
(+.f64 y #s(literal -2 binary64))
y
(* -1 (* y (- (* 2 (/ 1 y)) 1)))
(+.f64 y #s(literal -2 binary64))
(* -1 (* y (- (* 2 (/ 1 y)) 1)))
(+.f64 y #s(literal -2 binary64))
(* -1 (* y (- (* 2 (/ 1 y)) 1)))
(+.f64 y #s(literal -2 binary64))
(* -1/2 y)
(fma.f64 #s(literal -1/2 binary64) y #s(literal 0 binary64))
(* -1/2 y)
(fma.f64 #s(literal -1/2 binary64) y #s(literal 0 binary64))
(* -1/2 y)
(fma.f64 #s(literal -1/2 binary64) y #s(literal 0 binary64))
(* -1/2 y)
(fma.f64 #s(literal -1/2 binary64) y #s(literal 0 binary64))
(* -1/2 y)
(fma.f64 #s(literal -1/2 binary64) y #s(literal 0 binary64))
(* -1/2 y)
(fma.f64 #s(literal -1/2 binary64) y #s(literal 0 binary64))
(* -1/2 y)
(fma.f64 #s(literal -1/2 binary64) y #s(literal 0 binary64))
(* -1/2 y)
(fma.f64 #s(literal -1/2 binary64) y #s(literal 0 binary64))
(* -1/2 y)
(fma.f64 #s(literal -1/2 binary64) y #s(literal 0 binary64))
(* -1/2 y)
(fma.f64 #s(literal -1/2 binary64) y #s(literal 0 binary64))
(* -1/2 y)
(fma.f64 #s(literal -1/2 binary64) y #s(literal 0 binary64))
(* -1/2 y)
(fma.f64 #s(literal -1/2 binary64) y #s(literal 0 binary64))
(/ -2 x)
(/.f64 #s(literal -2 binary64) x)
(/ (- (* -1 x) 2) x)
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) x))
(/ (- (* -1 x) 2) x)
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) x))
(/ (- (* -1 x) 2) x)
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) x))
-1
#s(literal -1 binary64)
(* -1 (+ 1 (* 2 (/ 1 x))))
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) x))
(* -1 (+ 1 (* 2 (/ 1 x))))
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) x))
(* -1 (+ 1 (* 2 (/ 1 x))))
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) x))
-1
#s(literal -1 binary64)
(* -1 (+ 1 (* 2 (/ 1 x))))
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) x))
(* -1 (+ 1 (* 2 (/ 1 x))))
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) x))
(* -1 (+ 1 (* 2 (/ 1 x))))
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) x))
(/ -2 x)
(/.f64 #s(literal -2 binary64) x)
(/ -2 x)
(/.f64 #s(literal -2 binary64) x)
(/ -2 x)
(/.f64 #s(literal -2 binary64) x)
(/ -2 x)
(/.f64 #s(literal -2 binary64) x)
(/ -2 x)
(/.f64 #s(literal -2 binary64) x)
(/ -2 x)
(/.f64 #s(literal -2 binary64) x)
(/ -2 x)
(/.f64 #s(literal -2 binary64) x)
(/ -2 x)
(/.f64 #s(literal -2 binary64) x)
(/ -2 x)
(/.f64 #s(literal -2 binary64) x)
(/ -2 x)
(/.f64 #s(literal -2 binary64) x)
(/ -2 x)
(/.f64 #s(literal -2 binary64) x)
(/ -2 x)
(/.f64 #s(literal -2 binary64) x)
(* -1/2 y)
(fma.f64 #s(literal -1/2 binary64) y #s(literal 0 binary64))
(* y (- (* -1/4 y) 1/2))
(fma.f64 y (fma.f64 y #s(literal -1/4 binary64) #s(literal -1/2 binary64)) #s(literal 0 binary64))
(* y (- (* y (- (* -1/8 y) 1/4)) 1/2))
(fma.f64 y (fma.f64 y (fma.f64 y #s(literal -1/8 binary64) #s(literal -1/4 binary64)) #s(literal -1/2 binary64)) #s(literal 0 binary64))
(* y (- (* y (- (* y (- (* -1/16 y) 1/8)) 1/4)) 1/2))
(fma.f64 y (fma.f64 y (fma.f64 y (fma.f64 y #s(literal -1/16 binary64) #s(literal -1/8 binary64)) #s(literal -1/4 binary64)) #s(literal -1/2 binary64)) #s(literal 0 binary64))
1
#s(literal 1 binary64)
(+ 1 (* 2 (/ 1 y)))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) y))
(+ 1 (+ (* 2 (/ 1 y)) (/ 4 (pow y 2))))
(+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 2 binary64) y) (/.f64 #s(literal 4 binary64) (fma.f64 y y #s(literal 0 binary64)))))
(+ 1 (+ (* 2 (/ 1 y)) (+ (* 8 (/ 1 (pow y 3))) (/ 4 (pow y 2)))))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal 4 binary64) (/.f64 #s(literal 8 binary64) y)) y)) y))
1
#s(literal 1 binary64)
(+ 1 (* 2 (/ 1 y)))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) y))
(+ 1 (+ (* 2 (/ 1 y)) (/ 4 (pow y 2))))
(+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 2 binary64) y) (/.f64 #s(literal 4 binary64) (fma.f64 y y #s(literal 0 binary64)))))
(+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (* 8 (/ 1 y))) y)) 2) y)))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal 4 binary64) (/.f64 #s(literal 8 binary64) y)) y)) y))
(/ -2 y)
(/.f64 #s(literal -2 binary64) y)
(/ (- y 2) y)
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) y))
(/ (- y 2) y)
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) y))
(/ (- y 2) y)
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) y))
1
#s(literal 1 binary64)
(- 1 (* 2 (/ 1 y)))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) y))
(- 1 (* 2 (/ 1 y)))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) y))
(- 1 (* 2 (/ 1 y)))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) y))
1
#s(literal 1 binary64)
(- 1 (* 2 (/ 1 y)))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) y))
(- 1 (* 2 (/ 1 y)))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) y))
(- 1 (* 2 (/ 1 y)))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) y))
(/ -2 y)
(/.f64 #s(literal -2 binary64) y)
(/ -2 y)
(/.f64 #s(literal -2 binary64) y)
(/ -2 y)
(/.f64 #s(literal -2 binary64) y)
(/ -2 y)
(/.f64 #s(literal -2 binary64) y)
(/ -2 y)
(/.f64 #s(literal -2 binary64) y)
(/ -2 y)
(/.f64 #s(literal -2 binary64) y)
(/ -2 y)
(/.f64 #s(literal -2 binary64) y)
(/ -2 y)
(/.f64 #s(literal -2 binary64) y)
(/ -2 y)
(/.f64 #s(literal -2 binary64) y)
(/ -2 y)
(/.f64 #s(literal -2 binary64) y)
(/ -2 y)
(/.f64 #s(literal -2 binary64) y)
(/ -2 y)
(/.f64 #s(literal -2 binary64) y)

eval233.0ms (3%)

Memory
-1.6MiB live, 76.0MiB allocated
Compiler

Compiled 7 788 to 1 052 computations (86.5% saved)

prune71.0ms (0.9%)

Memory
-25.1MiB live, 133.6MiB allocated
Pruning

14 alts after pruning (4 fresh and 10 done)

PrunedKeptTotal
New4951496
Fresh033
Picked145
Done066
Total49614510
Accuracy
100.0%
Counts
510 → 14
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶16.0%
(fma.f64 y (fma.f64 y #s(literal -1/4 binary64) #s(literal -1/2 binary64)) #s(literal 0 binary64))
✓100.0%
(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y)))
✓63.6%
(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) x))
▶29.3%
(/.f64 (-.f64 x y) #s(literal 2 binary64))
✓87.4%
(/.f64 (*.f64 y (+.f64 #s(literal -1 binary64) (/.f64 x y))) (-.f64 #s(literal 2 binary64) (+.f64 x y)))
✓52.3%
(/.f64 y (+.f64 y #s(literal -2 binary64)))
✓49.5%
(/.f64 x (-.f64 #s(literal 2 binary64) x))
✓99.9%
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 2 binary64) (+.f64 x y)) (-.f64 x y)))
✓35.6%
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) x))
✓16.6%
(*.f64 y #s(literal -1/2 binary64))
▶15.4%
(*.f64 x (fma.f64 x #s(literal 1/4 binary64) #s(literal 1/2 binary64)))
▶15.7%
(*.f64 x #s(literal 1/2 binary64))
✓38.6%
#s(literal 1 binary64)
✓35.3%
#s(literal -1 binary64)
Compiler

Compiled 109 to 80 computations (26.6% saved)

simplify46.0ms (0.6%)

Memory
8.8MiB live, 85.0MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 7 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(fma.f64 y #s(literal -1/4 binary64) #s(literal -1/2 binary64))
✓cost-diff0
(fma.f64 y (fma.f64 y #s(literal -1/4 binary64) #s(literal -1/2 binary64)) #s(literal 0 binary64))
✓cost-diff0
(-.f64 x y)
✓cost-diff320
(/.f64 (-.f64 x y) #s(literal 2 binary64))
✓cost-diff-64
(*.f64 x (fma.f64 x #s(literal 1/4 binary64) #s(literal 1/2 binary64)))
✓cost-diff0
(fma.f64 x #s(literal 1/4 binary64) #s(literal 1/2 binary64))
✓cost-diff-64
(*.f64 x #s(literal 1/2 binary64))
Rules
768×accelerator-lowering-fma.f32
768×accelerator-lowering-fma.f64
448×*-lowering-*.f32
448×*-lowering-*.f64
176×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01847
14247
27147
38847
411047
516447
625147
740847
875947
995247
10104647
11112547
0112543
Stop Event
1×iter limit
1×saturated
Calls
Call 1
Inputs
(* x 1/2)
x
1/2
(* x (+ (* x 1/4) 1/2))
x
(+ (* x 1/4) 1/2)
1/4
1/2
(/ (- x y) 2)
(- x y)
x
y
2
(+ (* y (+ (* y -1/4) -1/2)) 0)
y
(+ (* y -1/4) -1/2)
-1/4
-1/2
0
Outputs
(* x 1/2)
(fma.f64 x #s(literal 1/2 binary64) #s(literal 0 binary64))
x
1/2
#s(literal 1/2 binary64)
(* x (+ (* x 1/4) 1/2))
(fma.f64 x (fma.f64 x #s(literal 1/4 binary64) #s(literal 1/2 binary64)) #s(literal 0 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)
(/ (- x y) 2)
(fma.f64 #s(literal 1/2 binary64) (-.f64 x y) #s(literal 0 binary64))
(- x y)
(-.f64 x y)
x
y
2
#s(literal 2 binary64)
(+ (* y (+ (* y -1/4) -1/2)) 0)
(fma.f64 y (fma.f64 y #s(literal -1/4 binary64) #s(literal -1/2 binary64)) #s(literal 0 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)
0
#s(literal 0 binary64)

localize45.0ms (0.6%)

Memory
20.1MiB live, 100.4MiB allocated
Localize:

Found 7 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(fma.f64 y #s(literal -1/4 binary64) #s(literal -1/2 binary64))
✓accuracy100.0%
(fma.f64 y (fma.f64 y #s(literal -1/4 binary64) #s(literal -1/2 binary64)) #s(literal 0 binary64))
✓accuracy100.0%
(/.f64 (-.f64 x y) #s(literal 2 binary64))
✓accuracy100.0%
(-.f64 x y)
✓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 x #s(literal 1/2 binary64))
Samples
27.0ms256×0valid
Compiler

Compiled 46 to 20 computations (56.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 16.0ms
ival-mult: 7.0ms (43.2% of total)
ival-div: 3.0ms (18.5% of total)
ival-add: 3.0ms (18.5% of total)
ival-sub: 1.0ms (6.2% of total)
exact: 1.0ms (6.2% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series8.0ms (0.1%)

Memory
-21.4MiB live, 17.5MiB allocated
Counts
7 → 108
Calls
Call 1
Inputs
#<alt (* x 1/2)>
#<alt (+ (* x 1/4) 1/2)>
#<alt (* x (+ (* x 1/4) 1/2))>
#<alt (/ (- x y) 2)>
#<alt (- x y)>
#<alt (+ (* y (+ (* y -1/4) -1/2)) 0)>
#<alt (+ (* y -1/4) -1/2)>
Outputs
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt 1/2>
#<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 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 y)>
#<alt (+ (* -1/2 y) (* 1/2 x))>
#<alt (+ (* -1/2 y) (* 1/2 x))>
#<alt (+ (* -1/2 y) (* 1/2 x))>
#<alt (* 1/2 x)>
#<alt (* x (+ 1/2 (* -1/2 (/ y x))))>
#<alt (* x (+ 1/2 (* -1/2 (/ y x))))>
#<alt (* x (+ 1/2 (* -1/2 (/ y x))))>
#<alt (* 1/2 x)>
#<alt (* -1 (* x (- (* 1/2 (/ y x)) 1/2)))>
#<alt (* -1 (* x (- (* 1/2 (/ y x)) 1/2)))>
#<alt (* -1 (* x (- (* 1/2 (/ y x)) 1/2)))>
#<alt (* 1/2 x)>
#<alt (+ (* -1/2 y) (* 1/2 x))>
#<alt (+ (* -1/2 y) (* 1/2 x))>
#<alt (+ (* -1/2 y) (* 1/2 x))>
#<alt (* -1/2 y)>
#<alt (* y (- (* 1/2 (/ x y)) 1/2))>
#<alt (* y (- (* 1/2 (/ x y)) 1/2))>
#<alt (* y (- (* 1/2 (/ x y)) 1/2))>
#<alt (* -1/2 y)>
#<alt (* -1 (* y (+ 1/2 (* -1/2 (/ x y)))))>
#<alt (* -1 (* y (+ 1/2 (* -1/2 (/ x y)))))>
#<alt (* -1 (* y (+ 1/2 (* -1/2 (/ 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 (* -1/2 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)))))>
Calls

27 calls:

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

rewrite391.0ms (5%)

Memory
39.3MiB live, 624.0MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
5 992×accelerator-lowering-fma.f32
5 992×accelerator-lowering-fma.f64
4 684×*-lowering-*.f32
4 684×*-lowering-*.f64
3 492×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01835
110235
278735
3744735
0837131
Stop Event
1×iter limit
1×node limit
Counts
7 → 703
Calls
Call 1
Inputs
(* x 1/2)
(+ (* x 1/4) 1/2)
(* x (+ (* x 1/4) 1/2))
(/ (- x y) 2)
(- x y)
(+ (* y (+ (* y -1/4) -1/2)) 0)
(+ (* y -1/4) -1/2)
Outputs
(neg.f64 (/.f64 x #s(literal -2 binary64)))
(/.f64 x #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 1 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 2 binary64) x)))
(/.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -2 binary64))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) x)) #s(literal 2 binary64))
(pow.f64 (/.f64 #s(literal 2 binary64) x) #s(literal -1 binary64))
(*.f64 x #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)))
(*.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -1/2 binary64))
(+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/4 binary64)))
(+.f64 (*.f64 x #s(literal 1/4 binary64)) #s(literal 1/2 binary64))
(+.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 1/16 binary64)) (fma.f64 x #s(literal 1/4 binary64) #s(literal -1/2 binary64))) (neg.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 x #s(literal 1/4 binary64) #s(literal -1/2 binary64)))))
(-.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 1/16 binary64)) (fma.f64 x #s(literal 1/4 binary64) #s(literal -1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (fma.f64 x #s(literal 1/4 binary64) #s(literal -1/2 binary64))))
(-.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/4 binary64)))) (/.f64 (*.f64 (*.f64 x x) #s(literal 1/16 binary64)) (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/4 binary64)))))
(fma.f64 x #s(literal 1/4 binary64) #s(literal 1/2 binary64))
(fma.f64 x (/.f64 (*.f64 x #s(literal 1/16 binary64)) (fma.f64 x #s(literal 1/4 binary64) #s(literal -1/2 binary64))) (neg.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 x #s(literal 1/4 binary64) #s(literal -1/2 binary64)))))
(fma.f64 #s(literal 1/4 binary64) x #s(literal 1/2 binary64))
(fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 x (*.f64 x #s(literal 1/4 binary64))) (fma.f64 x #s(literal 1/4 binary64) #s(literal -1/2 binary64))) (neg.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 x #s(literal 1/4 binary64) #s(literal -1/2 binary64)))))
(fma.f64 (*.f64 x #s(literal 1/4 binary64)) (/.f64 (*.f64 x #s(literal 1/4 binary64)) (fma.f64 x #s(literal 1/4 binary64) #s(literal -1/2 binary64))) (neg.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 x #s(literal 1/4 binary64) #s(literal -1/2 binary64)))))
(fma.f64 (*.f64 (*.f64 x x) #s(literal 1/16 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/4 binary64) #s(literal -1/2 binary64))) (neg.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 x #s(literal 1/4 binary64) #s(literal -1/2 binary64)))))
(fma.f64 (*.f64 x x) (/.f64 #s(literal 1/16 binary64) (fma.f64 x #s(literal 1/4 binary64) #s(literal -1/2 binary64))) (neg.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 x #s(literal 1/4 binary64) #s(literal -1/2 binary64)))))
(fma.f64 (*.f64 x (*.f64 x #s(literal 1/4 binary64))) (/.f64 #s(literal 1/4 binary64) (fma.f64 x #s(literal 1/4 binary64) #s(literal -1/2 binary64))) (neg.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 x #s(literal 1/4 binary64) #s(literal -1/2 binary64)))))
(fma.f64 #s(literal 1/16 binary64) (/.f64 (*.f64 x x) (fma.f64 x #s(literal 1/4 binary64) #s(literal -1/2 binary64))) (neg.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 x #s(literal 1/4 binary64) #s(literal -1/2 binary64)))))
(fma.f64 (*.f64 x #s(literal 1/16 binary64)) (/.f64 x (fma.f64 x #s(literal 1/4 binary64) #s(literal -1/2 binary64))) (neg.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 x #s(literal 1/4 binary64) #s(literal -1/2 binary64)))))
(fma.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 1/16 binary64)) (fma.f64 x (*.f64 x #s(literal 1/16 binary64)) #s(literal -1/4 binary64))) (fma.f64 x #s(literal 1/4 binary64) #s(literal 1/2 binary64)) (neg.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 x #s(literal 1/4 binary64) #s(literal -1/2 binary64)))))
(fma.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 1/16 binary64)) (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/64 binary64)) #s(literal -1/8 binary64))) (fma.f64 x (*.f64 x #s(literal 1/16 binary64)) (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/4 binary64))) (neg.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 x #s(literal 1/4 binary64) #s(literal -1/2 binary64)))))
(neg.f64 (/.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/64 binary64)) #s(literal 1/8 binary64)) (-.f64 #s(literal 0 binary64) (fma.f64 x (-.f64 (*.f64 x #s(literal 1/16 binary64)) #s(literal 1/8 binary64)) #s(literal 1/4 binary64)))))
(neg.f64 (/.f64 (fma.f64 x (*.f64 x #s(literal 1/16 binary64)) #s(literal -1/4 binary64)) (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/2 binary64))))
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(*.f64 (/.f64 (fma.f64 y (*.f64 y #s(literal 1/16 binary64)) #s(literal -1/4 binary64)) (fma.f64 y (*.f64 y #s(literal 1/16 binary64)) #s(literal -1/4 binary64))) (fma.f64 y #s(literal -1/4 binary64) #s(literal -1/2 binary64)))
(*.f64 (/.f64 (fma.f64 y (*.f64 (*.f64 y y) #s(literal -1/64 binary64)) #s(literal -1/8 binary64)) (fma.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))) #s(literal 1/4096 binary64) (*.f64 (fma.f64 y #s(literal -1/8 binary64) #s(literal 1/4 binary64)) (*.f64 (fma.f64 y #s(literal -1/8 binary64) #s(literal 1/4 binary64)) (fma.f64 y #s(literal -1/8 binary64) #s(literal 1/4 binary64)))))) (fma.f64 (fma.f64 y #s(literal -1/8 binary64) #s(literal 1/4 binary64)) (-.f64 (fma.f64 y #s(literal -1/8 binary64) #s(literal 1/4 binary64)) (*.f64 y (*.f64 y #s(literal 1/16 binary64)))) (*.f64 (*.f64 y (*.f64 y (*.f64 y y))) #s(literal 1/256 binary64))))
(*.f64 (/.f64 (fma.f64 y (*.f64 (*.f64 y y) #s(literal -1/64 binary64)) #s(literal -1/8 binary64)) (*.f64 (fma.f64 y (-.f64 (*.f64 y #s(literal 1/16 binary64)) #s(literal 1/8 binary64)) #s(literal 1/4 binary64)) (+.f64 (fma.f64 y (*.f64 y #s(literal 1/16 binary64)) #s(literal -1/4 binary64)) (*.f64 y #s(literal 1/8 binary64))))) (+.f64 (fma.f64 y (*.f64 y #s(literal 1/16 binary64)) #s(literal -1/4 binary64)) (*.f64 y #s(literal 1/8 binary64))))
(*.f64 (/.f64 (fma.f64 y (*.f64 y #s(literal 1/16 binary64)) #s(literal -1/4 binary64)) (fma.f64 (*.f64 y (*.f64 y y)) #s(literal -1/64 binary64) #s(literal 1/8 binary64))) (fma.f64 y (*.f64 y #s(literal 1/16 binary64)) (fma.f64 y #s(literal 1/8 binary64) #s(literal 1/4 binary64))))

simplify201.0ms (2.6%)

Memory
-21.8MiB live, 297.0MiB allocated
Algorithm
1×egg-herbie
Rules
4 178×accelerator-lowering-fma.f32
4 178×accelerator-lowering-fma.f64
3 702×*-lowering-*.f32
3 702×*-lowering-*.f64
1 846×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
065499
1198499
2538499
31332463
43138463
56215463
08141427
Stop Event
1×iter limit
1×node limit
Counts
108 → 108
Calls
Call 1
Inputs
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
1/2
(+ 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 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 y)
(+ (* -1/2 y) (* 1/2 x))
(+ (* -1/2 y) (* 1/2 x))
(+ (* -1/2 y) (* 1/2 x))
(* 1/2 x)
(* x (+ 1/2 (* -1/2 (/ y x))))
(* x (+ 1/2 (* -1/2 (/ y x))))
(* x (+ 1/2 (* -1/2 (/ y x))))
(* 1/2 x)
(* -1 (* x (- (* 1/2 (/ y x)) 1/2)))
(* -1 (* x (- (* 1/2 (/ y x)) 1/2)))
(* -1 (* x (- (* 1/2 (/ y x)) 1/2)))
(* 1/2 x)
(+ (* -1/2 y) (* 1/2 x))
(+ (* -1/2 y) (* 1/2 x))
(+ (* -1/2 y) (* 1/2 x))
(* -1/2 y)
(* y (- (* 1/2 (/ x y)) 1/2))
(* y (- (* 1/2 (/ x y)) 1/2))
(* y (- (* 1/2 (/ x y)) 1/2))
(* -1/2 y)
(* -1 (* y (+ 1/2 (* -1/2 (/ x y)))))
(* -1 (* y (+ 1/2 (* -1/2 (/ x y)))))
(* -1 (* y (+ 1/2 (* -1/2 (/ 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)))))
(* -1/2 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)))))
Outputs
(* 1/2 x)
(fma.f64 #s(literal 1/2 binary64) x #s(literal 0 binary64))
(* 1/2 x)
(fma.f64 #s(literal 1/2 binary64) x #s(literal 0 binary64))
(* 1/2 x)
(fma.f64 #s(literal 1/2 binary64) x #s(literal 0 binary64))
(* 1/2 x)
(fma.f64 #s(literal 1/2 binary64) x #s(literal 0 binary64))
(* 1/2 x)
(fma.f64 #s(literal 1/2 binary64) x #s(literal 0 binary64))
(* 1/2 x)
(fma.f64 #s(literal 1/2 binary64) x #s(literal 0 binary64))
(* 1/2 x)
(fma.f64 #s(literal 1/2 binary64) x #s(literal 0 binary64))
(* 1/2 x)
(fma.f64 #s(literal 1/2 binary64) x #s(literal 0 binary64))
(* 1/2 x)
(fma.f64 #s(literal 1/2 binary64) x #s(literal 0 binary64))
(* 1/2 x)
(fma.f64 #s(literal 1/2 binary64) x #s(literal 0 binary64))
(* 1/2 x)
(fma.f64 #s(literal 1/2 binary64) x #s(literal 0 binary64))
(* 1/2 x)
(fma.f64 #s(literal 1/2 binary64) x #s(literal 0 binary64))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* 1/4 x))
(fma.f64 x #s(literal 1/4 binary64) #s(literal 1/2 binary64))
(+ 1/2 (* 1/4 x))
(fma.f64 x #s(literal 1/4 binary64) #s(literal 1/2 binary64))
(+ 1/2 (* 1/4 x))
(fma.f64 x #s(literal 1/4 binary64) #s(literal 1/2 binary64))
(* 1/4 x)
(*.f64 x #s(literal 1/4 binary64))
(* x (+ 1/4 (* 1/2 (/ 1 x))))
(fma.f64 x #s(literal 1/4 binary64) #s(literal 1/2 binary64))
(* x (+ 1/4 (* 1/2 (/ 1 x))))
(fma.f64 x #s(literal 1/4 binary64) #s(literal 1/2 binary64))
(* x (+ 1/4 (* 1/2 (/ 1 x))))
(fma.f64 x #s(literal 1/4 binary64) #s(literal 1/2 binary64))
(* 1/4 x)
(*.f64 x #s(literal 1/4 binary64))
(* x (+ 1/4 (* 1/2 (/ 1 x))))
(fma.f64 x #s(literal 1/4 binary64) #s(literal 1/2 binary64))
(* x (+ 1/4 (* 1/2 (/ 1 x))))
(fma.f64 x #s(literal 1/4 binary64) #s(literal 1/2 binary64))
(* x (+ 1/4 (* 1/2 (/ 1 x))))
(fma.f64 x #s(literal 1/4 binary64) #s(literal 1/2 binary64))
(* 1/2 x)
(fma.f64 #s(literal 1/2 binary64) x #s(literal 0 binary64))
(* x (+ 1/2 (* 1/4 x)))
(*.f64 x (fma.f64 x #s(literal 1/4 binary64) #s(literal 1/2 binary64)))
(* x (+ 1/2 (* 1/4 x)))
(*.f64 x (fma.f64 x #s(literal 1/4 binary64) #s(literal 1/2 binary64)))
(* x (+ 1/2 (* 1/4 x)))
(*.f64 x (fma.f64 x #s(literal 1/4 binary64) #s(literal 1/2 binary64)))
(* 1/4 (pow x 2))
(fma.f64 x (*.f64 x #s(literal 1/4 binary64)) #s(literal 0 binary64))
(* (pow x 2) (+ 1/4 (* 1/2 (/ 1 x))))
(*.f64 x (fma.f64 x #s(literal 1/4 binary64) #s(literal 1/2 binary64)))
(* (pow x 2) (+ 1/4 (* 1/2 (/ 1 x))))
(*.f64 x (fma.f64 x #s(literal 1/4 binary64) #s(literal 1/2 binary64)))
(* (pow x 2) (+ 1/4 (* 1/2 (/ 1 x))))
(*.f64 x (fma.f64 x #s(literal 1/4 binary64) #s(literal 1/2 binary64)))
(* 1/4 (pow x 2))
(fma.f64 x (*.f64 x #s(literal 1/4 binary64)) #s(literal 0 binary64))
(* (pow x 2) (+ 1/4 (* 1/2 (/ 1 x))))
(*.f64 x (fma.f64 x #s(literal 1/4 binary64) #s(literal 1/2 binary64)))
(* (pow x 2) (+ 1/4 (* 1/2 (/ 1 x))))
(*.f64 x (fma.f64 x #s(literal 1/4 binary64) #s(literal 1/2 binary64)))
(* (pow x 2) (+ 1/4 (* 1/2 (/ 1 x))))
(*.f64 x (fma.f64 x #s(literal 1/4 binary64) #s(literal 1/2 binary64)))
(* -1/2 y)
(fma.f64 #s(literal -1/2 binary64) y #s(literal 0 binary64))
(+ (* -1/2 y) (* 1/2 x))
(fma.f64 #s(literal 1/2 binary64) (-.f64 x y) #s(literal 0 binary64))
(+ (* -1/2 y) (* 1/2 x))
(fma.f64 #s(literal 1/2 binary64) (-.f64 x y) #s(literal 0 binary64))
(+ (* -1/2 y) (* 1/2 x))
(fma.f64 #s(literal 1/2 binary64) (-.f64 x y) #s(literal 0 binary64))
(* 1/2 x)
(fma.f64 #s(literal 1/2 binary64) x #s(literal 0 binary64))
(* x (+ 1/2 (* -1/2 (/ y x))))
(fma.f64 #s(literal 1/2 binary64) (-.f64 x y) #s(literal 0 binary64))
(* x (+ 1/2 (* -1/2 (/ y x))))
(fma.f64 #s(literal 1/2 binary64) (-.f64 x y) #s(literal 0 binary64))
(* x (+ 1/2 (* -1/2 (/ y x))))
(fma.f64 #s(literal 1/2 binary64) (-.f64 x y) #s(literal 0 binary64))
(* 1/2 x)
(fma.f64 #s(literal 1/2 binary64) x #s(literal 0 binary64))
(* -1 (* x (- (* 1/2 (/ y x)) 1/2)))
(fma.f64 #s(literal 1/2 binary64) (-.f64 x y) #s(literal 0 binary64))
(* -1 (* x (- (* 1/2 (/ y x)) 1/2)))
(fma.f64 #s(literal 1/2 binary64) (-.f64 x y) #s(literal 0 binary64))
(* -1 (* x (- (* 1/2 (/ y x)) 1/2)))
(fma.f64 #s(literal 1/2 binary64) (-.f64 x y) #s(literal 0 binary64))
(* 1/2 x)
(fma.f64 #s(literal 1/2 binary64) x #s(literal 0 binary64))
(+ (* -1/2 y) (* 1/2 x))
(fma.f64 #s(literal 1/2 binary64) (-.f64 x y) #s(literal 0 binary64))
(+ (* -1/2 y) (* 1/2 x))
(fma.f64 #s(literal 1/2 binary64) (-.f64 x y) #s(literal 0 binary64))
(+ (* -1/2 y) (* 1/2 x))
(fma.f64 #s(literal 1/2 binary64) (-.f64 x y) #s(literal 0 binary64))
(* -1/2 y)
(fma.f64 #s(literal -1/2 binary64) y #s(literal 0 binary64))
(* y (- (* 1/2 (/ x y)) 1/2))
(fma.f64 #s(literal 1/2 binary64) (-.f64 x y) #s(literal 0 binary64))
(* y (- (* 1/2 (/ x y)) 1/2))
(fma.f64 #s(literal 1/2 binary64) (-.f64 x y) #s(literal 0 binary64))
(* y (- (* 1/2 (/ x y)) 1/2))
(fma.f64 #s(literal 1/2 binary64) (-.f64 x y) #s(literal 0 binary64))
(* -1/2 y)
(fma.f64 #s(literal -1/2 binary64) y #s(literal 0 binary64))
(* -1 (* y (+ 1/2 (* -1/2 (/ x y)))))
(fma.f64 #s(literal 1/2 binary64) (-.f64 x y) #s(literal 0 binary64))
(* -1 (* y (+ 1/2 (* -1/2 (/ x y)))))
(fma.f64 #s(literal 1/2 binary64) (-.f64 x y) #s(literal 0 binary64))
(* -1 (* y (+ 1/2 (* -1/2 (/ x y)))))
(fma.f64 #s(literal 1/2 binary64) (-.f64 x y) #s(literal 0 binary64))
(* -1 y)
(-.f64 #s(literal 0 binary64) y)
(- x y)
(-.f64 x y)
(- x y)
(-.f64 x y)
(- x y)
(-.f64 x y)
x
(* x (+ 1 (* -1 (/ y x))))
(-.f64 x y)
(* x (+ 1 (* -1 (/ y x))))
(-.f64 x y)
(* x (+ 1 (* -1 (/ y x))))
(-.f64 x y)
x
(* -1 (* x (- (/ y x) 1)))
(-.f64 x y)
(* -1 (* x (- (/ y x) 1)))
(-.f64 x y)
(* -1 (* x (- (/ y x) 1)))
(-.f64 x y)
x
(+ x (* -1 y))
(-.f64 x y)
(+ x (* -1 y))
(-.f64 x y)
(+ x (* -1 y))
(-.f64 x y)
(* -1 y)
(-.f64 #s(literal 0 binary64) y)
(* y (- (/ x y) 1))
(-.f64 x y)
(* y (- (/ x y) 1))
(-.f64 x y)
(* y (- (/ x y) 1))
(-.f64 x y)
(* -1 y)
(-.f64 #s(literal 0 binary64) y)
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(-.f64 x y)
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(-.f64 x y)
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(-.f64 x y)
(* -1/2 y)
(fma.f64 #s(literal -1/2 binary64) y #s(literal 0 binary64))
(* y (- (* -1/4 y) 1/2))
(fma.f64 y (fma.f64 y #s(literal -1/4 binary64) #s(literal -1/2 binary64)) #s(literal 0 binary64))
(* y (- (* -1/4 y) 1/2))
(fma.f64 y (fma.f64 y #s(literal -1/4 binary64) #s(literal -1/2 binary64)) #s(literal 0 binary64))
(* y (- (* -1/4 y) 1/2))
(fma.f64 y (fma.f64 y #s(literal -1/4 binary64) #s(literal -1/2 binary64)) #s(literal 0 binary64))
(* -1/4 (pow y 2))
(fma.f64 y (fma.f64 y #s(literal -1/4 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))
(* -1 (* (pow y 2) (+ 1/4 (* 1/2 (/ 1 y)))))
(fma.f64 y (fma.f64 y #s(literal -1/4 binary64) #s(literal -1/2 binary64)) #s(literal 0 binary64))
(* -1 (* (pow y 2) (+ 1/4 (* 1/2 (/ 1 y)))))
(fma.f64 y (fma.f64 y #s(literal -1/4 binary64) #s(literal -1/2 binary64)) #s(literal 0 binary64))
(* -1 (* (pow y 2) (+ 1/4 (* 1/2 (/ 1 y)))))
(fma.f64 y (fma.f64 y #s(literal -1/4 binary64) #s(literal -1/2 binary64)) #s(literal 0 binary64))
(* -1/4 (pow y 2))
(fma.f64 y (fma.f64 y #s(literal -1/4 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))
(* -1 (* (pow y 2) (+ 1/4 (* 1/2 (/ 1 y)))))
(fma.f64 y (fma.f64 y #s(literal -1/4 binary64) #s(literal -1/2 binary64)) #s(literal 0 binary64))
(* -1 (* (pow y 2) (+ 1/4 (* 1/2 (/ 1 y)))))
(fma.f64 y (fma.f64 y #s(literal -1/4 binary64) #s(literal -1/2 binary64)) #s(literal 0 binary64))
(* -1 (* (pow y 2) (+ 1/4 (* 1/2 (/ 1 y)))))
(fma.f64 y (fma.f64 y #s(literal -1/4 binary64) #s(literal -1/2 binary64)) #s(literal 0 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)
(fma.f64 y #s(literal -1/4 binary64) #s(literal 0 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)
(fma.f64 y #s(literal -1/4 binary64) #s(literal 0 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))

eval102.0ms (1.3%)

Memory
17.6MiB live, 241.3MiB allocated
Compiler

Compiled 19 071 to 1 641 computations (91.4% saved)

prune116.0ms (1.5%)

Memory
-0.8MiB live, 239.8MiB allocated
Pruning

14 alts after pruning (2 fresh and 12 done)

PrunedKeptTotal
New8092811
Fresh000
Picked224
Done01010
Total81114825
Accuracy
100.0%
Counts
825 → 14
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓100.0%
(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y)))
✓63.6%
(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) x))
✓87.4%
(/.f64 (*.f64 y (+.f64 #s(literal -1 binary64) (/.f64 x y))) (-.f64 #s(literal 2 binary64) (+.f64 x y)))
✓52.3%
(/.f64 y (+.f64 y #s(literal -2 binary64)))
✓49.5%
(/.f64 x (-.f64 #s(literal 2 binary64) x))
✓99.9%
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 2 binary64) (+.f64 x y)) (-.f64 x y)))
✓35.6%
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) x))
16.0%
(*.f64 (fma.f64 y #s(literal -1/4 binary64) #s(literal -1/2 binary64)) y)
29.3%
(*.f64 (-.f64 y x) #s(literal -1/2 binary64))
✓16.6%
(*.f64 y #s(literal -1/2 binary64))
✓15.4%
(*.f64 x (fma.f64 x #s(literal 1/4 binary64) #s(literal 1/2 binary64)))
✓15.7%
(*.f64 x #s(literal 1/2 binary64))
✓38.6%
#s(literal 1 binary64)
✓35.3%
#s(literal -1 binary64)
Compiler

Compiled 240 to 129 computations (46.3% saved)

regimes21.0ms (0.3%)

Memory
3.1MiB live, 39.8MiB allocated
Counts
19 → 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 (-.f64 y x) #s(literal -1/2 binary64))
(*.f64 x (fma.f64 x #s(literal 1/4 binary64) #s(literal 1/2 binary64)))
(*.f64 (fma.f64 y #s(literal -1/4 binary64) #s(literal -1/2 binary64)) y)
(fma.f64 y (fma.f64 y #s(literal -1/4 binary64) #s(literal -1/2 binary64)) #s(literal 0 binary64))
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) x))
(/.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 x y) (-.f64 #s(literal 2 binary64) x))
(/.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 #s(literal 2 binary64) (+.f64 x y)) (-.f64 x y)))
(/.f64 (*.f64 y (+.f64 #s(literal -1 binary64) (/.f64 x y))) (-.f64 #s(literal 2 binary64) (+.f64 x y)))
(/.f64 (*.f64 (-.f64 x y) (+.f64 #s(literal 2 binary64) (+.f64 x y))) (fma.f64 (+.f64 x y) (-.f64 (-.f64 #s(literal 0 binary64) y) x) #s(literal 4 binary64)))
Outputs
(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y)))
Calls

3 calls:

9.0ms
x
6.0ms
y
5.0ms
(/.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)

regimes16.0ms (0.2%)

Memory
-6.0MiB live, 31.2MiB allocated
Counts
13 → 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 (-.f64 y x) #s(literal -1/2 binary64))
(*.f64 x (fma.f64 x #s(literal 1/4 binary64) #s(literal 1/2 binary64)))
(*.f64 (fma.f64 y #s(literal -1/4 binary64) #s(literal -1/2 binary64)) y)
(fma.f64 y (fma.f64 y #s(literal -1/4 binary64) #s(literal -1/2 binary64)) #s(literal 0 binary64))
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) x))
(/.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 x y) (-.f64 #s(literal 2 binary64) x))
Outputs
(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) x))
(/.f64 y (+.f64 y #s(literal -2 binary64)))
Calls

3 calls:

7.0ms
x
4.0ms
y
4.0ms
(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y)))
Results
AccuracySegmentsBranch
76.6%3x
92.3%3y
99.4%2(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y)))
Compiler

Compiled 17 to 11 computations (35.3% saved)

regimes4.0ms (0.1%)

Memory
7.7MiB live, 7.7MiB allocated
Counts
12 → 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 (-.f64 y x) #s(literal -1/2 binary64))
(*.f64 x (fma.f64 x #s(literal 1/4 binary64) #s(literal 1/2 binary64)))
(*.f64 (fma.f64 y #s(literal -1/4 binary64) #s(literal -1/2 binary64)) y)
(fma.f64 y (fma.f64 y #s(literal -1/4 binary64) #s(literal -1/2 binary64)) #s(literal 0 binary64))
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) x))
(/.f64 x (-.f64 #s(literal 2 binary64) x))
(/.f64 y (+.f64 y #s(literal -2 binary64)))
(/.f64 (-.f64 x y) #s(literal 2 binary64))
Outputs
(/.f64 x (-.f64 #s(literal 2 binary64) x))
(*.f64 (-.f64 y x) #s(literal -1/2 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
99.2%3(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y)))
Compiler

Compiled 11 to 7 computations (36.4% saved)

regimes4.0ms (0%)

Memory
8.3MiB live, 8.3MiB allocated
Counts
10 → 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 (-.f64 y x) #s(literal -1/2 binary64))
(*.f64 x (fma.f64 x #s(literal 1/4 binary64) #s(literal 1/2 binary64)))
(*.f64 (fma.f64 y #s(literal -1/4 binary64) #s(literal -1/2 binary64)) y)
(fma.f64 y (fma.f64 y #s(literal -1/4 binary64) #s(literal -1/2 binary64)) #s(literal 0 binary64))
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) x))
(/.f64 x (-.f64 #s(literal 2 binary64) x))
Outputs
(/.f64 x (-.f64 #s(literal 2 binary64) x))
(*.f64 (-.f64 y x) #s(literal -1/2 binary64))
#s(literal 1 binary64)
Calls

1 calls:

3.0ms
(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y)))
Results
AccuracySegmentsBranch
99.0%3(/.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
8.1MiB live, 8.1MiB allocated
Counts
9 → 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 (-.f64 y x) #s(literal -1/2 binary64))
(*.f64 x (fma.f64 x #s(literal 1/4 binary64) #s(literal 1/2 binary64)))
(*.f64 (fma.f64 y #s(literal -1/4 binary64) #s(literal -1/2 binary64)) y)
(fma.f64 y (fma.f64 y #s(literal -1/4 binary64) #s(literal -1/2 binary64)) #s(literal 0 binary64))
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) x))
Outputs
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) x))
(*.f64 (-.f64 y x) #s(literal -1/2 binary64))
#s(literal 1 binary64)
Calls

1 calls:

3.0ms
(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y)))
Results
AccuracySegmentsBranch
97.8%3(/.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
7.9MiB live, 7.9MiB allocated
Counts
8 → 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 (-.f64 y x) #s(literal -1/2 binary64))
(*.f64 x (fma.f64 x #s(literal 1/4 binary64) #s(literal 1/2 binary64)))
(*.f64 (fma.f64 y #s(literal -1/4 binary64) #s(literal -1/2 binary64)) y)
(fma.f64 y (fma.f64 y #s(literal -1/4 binary64) #s(literal -1/2 binary64)) #s(literal 0 binary64))
Outputs
#s(literal -1 binary64)
(*.f64 (-.f64 y x) #s(literal -1/2 binary64))
#s(literal 1 binary64)
Calls

1 calls:

3.0ms
(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y)))
Results
AccuracySegmentsBranch
97.2%3(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y)))
Compiler

Compiled 11 to 7 computations (36.4% saved)

regimes6.0ms (0.1%)

Memory
-27.1MiB live, 10.6MiB 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

2 calls:

4.0ms
y
2.0ms
(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y)))
Results
AccuracySegmentsBranch
64.6%3y
86.4%4(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y)))
Compiler

Compiled 14 to 9 computations (35.7% saved)

regimes2.0ms (0%)

Memory
4.9MiB live, 4.9MiB 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
83.5%3(/.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
8.5MiB live, 8.5MiB 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

2 calls:

2.0ms
x
1.0ms
(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y)))
Results
AccuracySegmentsBranch
62.4%3x
72.1%2(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y)))
Compiler

Compiled 14 to 9 computations (35.7% saved)

regimes4.0ms (0.1%)

Memory
11.6MiB live, 11.6MiB 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
y
1.0ms
x
1.0ms
(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y)))
Results
AccuracySegmentsBranch
35.3%1x
35.3%1y
35.3%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
0.5MiB live, 0.5MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
1.0087967397938521e-7
0.9999999984977517
Compiler

Compiled 14 to 12 computations (14.3% saved)

bsearch0.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated
Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
1.0087967397938521e-7
0.9999999984977517
0.0ms
-1.3353636536804576e-15
-5.9369152266376e-22
Compiler

Compiled 14 to 12 computations (14.3% saved)

bsearch0.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated
Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
1.0087967397938521e-7
0.9999999984977517
0.0ms
-1.3353636536804576e-15
-5.9369152266376e-22
Compiler

Compiled 14 to 12 computations (14.3% saved)

bsearch0.0ms (0%)

Memory
0.7MiB live, 0.7MiB allocated
Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
1.0087967397938521e-7
0.9999999984977517
0.0ms
-0.9871820041886411
-0.18365826309178626
Compiler

Compiled 14 to 12 computations (14.3% saved)

bsearch0.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated
Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
1.0087967397938521e-7
0.9999999984977517
0.0ms
-0.9871820041886411
-0.18365826309178626
Compiler

Compiled 14 to 12 computations (14.3% saved)

bsearch0.0ms (0%)

Memory
0.8MiB live, 0.8MiB allocated
Algorithm
3×left-value
Steps
TimeLeftRight
0.0ms
1.0087967397938521e-7
0.9999999984977517
0.0ms
2.5067953883591745e-100
5.647059149558332e-100
0.0ms
-1.3353636536804576e-15
-5.9369152266376e-22
Compiler

Compiled 14 to 12 computations (14.3% saved)

bsearch0.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated
Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
1.0087967397938521e-7
0.9999999984977517
0.0ms
-0.9871820041886411
-0.18365826309178626
Compiler

Compiled 14 to 12 computations (14.3% saved)

bsearch16.0ms (0.2%)

Memory
-22.7MiB live, 18.9MiB allocated
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
15.0ms
-8.831606948206488e-297
1.6852771040691541e-289
Samples
3.0ms176×0valid
Compiler

Compiled 102 to 100 computations (2% 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)

simplify11.0ms (0.1%)

Memory
22.1MiB live, 22.1MiB allocated
Algorithm
1×egg-herbie
Rules
20×+-commutative_binary64
14×sub-neg_binary64
12×*-commutative_binary64
6×neg-sub0_binary64
6×neg-mul-1_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
044261
160261
272261
380261
483261
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 944473296573929/4722366482869645213696 binary64)) (/.f64 (-.f64 x y) (-.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 -2535301200456459/2535301200456458802993406410752 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 944473296573929/4722366482869645213696 binary64)) (*.f64 (-.f64 y x) #s(literal -1/2 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 -2535301200456459/2535301200456458802993406410752 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 944473296573929/4722366482869645213696 binary64)) (*.f64 (-.f64 y 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 -1/2 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) x)) (if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal 944473296573929/4722366482869645213696 binary64)) (*.f64 (-.f64 y 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 -1/2 binary64)) #s(literal -1 binary64) (if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal 944473296573929/4722366482869645213696 binary64)) (*.f64 (-.f64 y 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 -2535301200456459/2535301200456458802993406410752 binary64)) #s(literal -1 binary64) (if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal 2462625387274655/4925250774549309901534880012517951725634967408808180833493536675530715221437151326426783281860614455100828498788352 binary64)) (*.f64 y #s(literal -1/2 binary64)) (if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal 944473296573929/4722366482869645213696 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 -1/2 binary64)) #s(literal -1 binary64) (if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal 944473296573929/4722366482869645213696 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 -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 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 944473296573929/4722366482869645213696 binary64)) (/.f64 (-.f64 x y) (-.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 -2535301200456459/2535301200456458802993406410752 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 944473296573929/4722366482869645213696 binary64)) (*.f64 (-.f64 y x) #s(literal -1/2 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 -2535301200456459/2535301200456458802993406410752 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 944473296573929/4722366482869645213696 binary64)) (*.f64 (-.f64 y 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 -1/2 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) x)) (if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal 944473296573929/4722366482869645213696 binary64)) (*.f64 (-.f64 y 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 -1/2 binary64)) #s(literal -1 binary64) (if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal 944473296573929/4722366482869645213696 binary64)) (*.f64 (-.f64 y 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 -2535301200456459/2535301200456458802993406410752 binary64)) #s(literal -1 binary64) (if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal 2462625387274655/4925250774549309901534880012517951725634967408808180833493536675530715221437151326426783281860614455100828498788352 binary64)) (*.f64 y #s(literal -1/2 binary64)) (if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal 944473296573929/4722366482869645213696 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 -1/2 binary64)) #s(literal -1 binary64) (if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal 944473296573929/4722366482869645213696 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 -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(literal -1 binary64) #s(literal 1 binary64))
#s(literal -1 binary64)

soundness1.0s (13%)

Memory
-42.8MiB live, 625.6MiB allocated
Rules
12 038×accelerator-lowering-fma.f32
12 038×accelerator-lowering-fma.f64
7 630×accelerator-lowering-fma.f32
7 630×accelerator-lowering-fma.f64
5 992×accelerator-lowering-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01835
110235
278735
3744735
0837131
04272862
113352662
241992614
084332462
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
Compiler

Compiled 477 to 206 computations (56.8% saved)

preprocess72.0ms (0.9%)

Memory
4.8MiB live, 120.7MiB allocated
Compiler

Compiled 582 to 118 computations (79.7% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

Loading profile data...