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

Time bar (total: 5.7s)

start0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

analyze40.0ms (0.7%)

Memory
-19.3MiB live, 20.0MiB allocated
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
0%0%99.9%0.1%0%0%0%1
0%0%99.9%0.1%0%0%0%2
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
76.6%76.5%23.4%0.1%0%0%0%7
82%82%18%0.1%0%0%0%8
87.9%87.8%12.1%0.1%0%0%0%9
90.8%90.7%9.2%0.1%0%0%0%10
93.8%93.8%6.1%0.1%0%0%0%11
95.4%95.3%4.6%0.1%0%0%0%12
Compiler

Compiled 9 to 7 computations (22.2% saved)

sample1.8s (31.5%)

Memory
31.4MiB live, 580.2MiB allocated
Samples
1.5s8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 689.0ms
ival-div: 365.0ms (53% of total)
ival-sub: 278.0ms (40.3% of total)
ival-add: 38.0ms (5.5% of total)
ival-true: 5.0ms (0.7% of total)
ival-assert: 3.0ms (0.4% of total)
Bogosity

explain56.0ms (1%)

Memory
-20.5MiB live, 136.6MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-(/.f64 (-.f64 x y) (+.f64 x y))
00-0-y
00-0-(-.f64 x y)
00-0-(+.f64 x y)
00-0-x
Confusion
Predicted +Predicted -
+00
-0256
Precision
0/0
Recall
0/0
Confusion?
Predicted +Predicted MaybePredicted -
+000
-00256
Precision?
0/0
Recall?
0/0
Freqs
test
numberfreq
0256
Total Confusion?
Predicted +Predicted MaybePredicted -
+000
-001
Precision?
0/0
Recall?
0/0
Samples
23.0ms512×0valid
Compiler

Compiled 43 to 19 computations (55.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 9.0ms
ival-sub: 3.0ms (32.2% of total)
ival-div: 3.0ms (32.2% of total)
ival-add: 3.0ms (32.2% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess62.0ms (1.1%)

Memory
19.9MiB live, 98.3MiB allocated
Algorithm
egg-herbie
Rules
410×times-frac
304×lower-fma.f64
304×lower-fma.f32
228×associate-*l*
182×div-sub
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01541
15037
212235
331335
482135
5135235
6140135
7144135
8148435
9149635
057
087
1147
2217
3337
4607
51047
61717
72797
84587
97737
107817
118197
128487
08487
Stop Event
iter limit
saturated
iter limit
saturated
Calls
Call 1
Inputs
(/.f64 (-.f64 x y) (+.f64 x y))
Outputs
(/.f64 (-.f64 x y) (+.f64 x y))
Compiler

Compiled 9 to 5 computations (44.4% saved)

eval0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Compiler

Compiled 2 to 2 computations (0% saved)

prune1.0ms (0%)

Memory
1.4MiB live, 1.4MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(/.f64 (-.f64 x y) (+.f64 x y))
Compiler

Compiled 9 to 5 computations (44.4% saved)

simplify29.0ms (0.5%)

Memory
1.2MiB live, 42.4MiB allocated
Algorithm
egg-herbie
Localize:

Found 3 expressions of interest:

NewMetricScoreProgram
cost-diff0
(+.f64 x y)
cost-diff0
(-.f64 x y)
cost-diff0
(/.f64 (-.f64 x y) (+.f64 x y))
Rules
304×lower-fma.f64
304×lower-fma.f32
176×lower-*.f64
176×lower-*.f32
142×div-sub
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0515
0815
11415
22115
33315
46015
510415
617115
727915
845815
977315
1078115
1181915
1284815
084815
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(/.f64 (-.f64 x y) (+.f64 x y))
(-.f64 x y)
x
y
(+.f64 x y)
Outputs
(/.f64 (-.f64 x y) (+.f64 x y))
(-.f64 x y)
x
y
(+.f64 x y)

localize18.0ms (0.3%)

Memory
4.6MiB live, 44.0MiB allocated
Localize:

Found 3 expressions of interest:

NewMetricScoreProgram
accuracy0
(-.f64 x y)
accuracy0
(+.f64 x y)
accuracy0.01953125
(/.f64 (-.f64 x y) (+.f64 x y))
Samples
12.0ms256×0valid
Compiler

Compiled 17 to 7 computations (58.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 5.0ms
ival-sub: 2.0ms (43.7% of total)
ival-div: 2.0ms (43.7% of total)
ival-add: 1.0ms (21.8% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series6.0ms (0.1%)

Memory
-27.8MiB live, 11.1MiB allocated
Counts
3 → 72
Calls
Call 1
Inputs
#s(alt (/.f64 (-.f64 x y) (+.f64 x y)) (patch (/.f64 (-.f64 x y) (+.f64 x y)) #<representation binary64>) () ())
#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())
#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())
Outputs
#s(alt -1 (taylor 0 x) (#s(alt (/.f64 (-.f64 x y) (+.f64 x y)) (patch (/.f64 (-.f64 x y) (+.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (- (* 2 (/ x y)) 1) (taylor 0 x) (#s(alt (/.f64 (-.f64 x y) (+.f64 x y)) (patch (/.f64 (-.f64 x y) (+.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (- (* x (+ (* -2 (/ x (pow y 2))) (* 2 (/ 1 y)))) 1) (taylor 0 x) (#s(alt (/.f64 (-.f64 x y) (+.f64 x y)) (patch (/.f64 (-.f64 x y) (+.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (- (* x (+ (* x (- (* 2 (/ x (pow y 3))) (* 2 (/ 1 (pow y 2))))) (* 2 (/ 1 y)))) 1) (taylor 0 x) (#s(alt (/.f64 (-.f64 x y) (+.f64 x y)) (patch (/.f64 (-.f64 x y) (+.f64 x y)) #<representation binary64>) () ())) ())
#s(alt 1 (taylor inf x) (#s(alt (/.f64 (-.f64 x y) (+.f64 x y)) (patch (/.f64 (-.f64 x y) (+.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (- (+ 1 (* -1 (/ y x))) (/ y x)) (taylor inf x) (#s(alt (/.f64 (-.f64 x y) (+.f64 x y)) (patch (/.f64 (-.f64 x y) (+.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (- (+ 1 (+ (* -1 (/ y x)) (* -1 (/ (* y (- (* -1 y) y)) (pow x 2))))) (/ y x)) (taylor inf x) (#s(alt (/.f64 (-.f64 x y) (+.f64 x y)) (patch (/.f64 (-.f64 x y) (+.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (- (+ 1 (+ (* -1 (/ y x)) (/ (* (pow y 2) (- (* -1 y) y)) (pow x 3)))) (+ (/ y x) (/ (* y (- (* -1 y) y)) (pow x 2)))) (taylor inf x) (#s(alt (/.f64 (-.f64 x y) (+.f64 x y)) (patch (/.f64 (-.f64 x y) (+.f64 x y)) #<representation binary64>) () ())) ())
#s(alt 1 (taylor -inf x) (#s(alt (/.f64 (-.f64 x y) (+.f64 x y)) (patch (/.f64 (-.f64 x y) (+.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (- (+ 1 (* -1 (/ y x))) (/ y x)) (taylor -inf x) (#s(alt (/.f64 (-.f64 x y) (+.f64 x y)) (patch (/.f64 (-.f64 x y) (+.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (/ (+ (* -1 (- (* -1 y) y)) (/ (* y (- (* -1 y) y)) x)) x))) (taylor -inf x) (#s(alt (/.f64 (-.f64 x y) (+.f64 x y)) (patch (/.f64 (-.f64 x y) (+.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (/ (+ (* -1 (- (* -1 y) y)) (* -1 (/ (+ (* -1 (* y (- (* -1 y) y))) (/ (* (pow y 2) (- (* -1 y) y)) x)) x))) x))) (taylor -inf x) (#s(alt (/.f64 (-.f64 x y) (+.f64 x y)) (patch (/.f64 (-.f64 x y) (+.f64 x y)) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 y) (#s(alt (/.f64 (-.f64 x y) (+.f64 x y)) (patch (/.f64 (-.f64 x y) (+.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -2 (/ y x))) (taylor 0 y) (#s(alt (/.f64 (-.f64 x y) (+.f64 x y)) (patch (/.f64 (-.f64 x y) (+.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* y (- (* 2 (/ y (pow x 2))) (* 2 (/ 1 x))))) (taylor 0 y) (#s(alt (/.f64 (-.f64 x y) (+.f64 x y)) (patch (/.f64 (-.f64 x y) (+.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* y (- (* y (+ (* -2 (/ y (pow x 3))) (* 2 (/ 1 (pow x 2))))) (* 2 (/ 1 x))))) (taylor 0 y) (#s(alt (/.f64 (-.f64 x y) (+.f64 x y)) (patch (/.f64 (-.f64 x y) (+.f64 x y)) #<representation binary64>) () ())) ())
#s(alt -1 (taylor inf y) (#s(alt (/.f64 (-.f64 x y) (+.f64 x y)) (patch (/.f64 (-.f64 x y) (+.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (- (/ x y) (+ 1 (* -1 (/ x y)))) (taylor inf y) (#s(alt (/.f64 (-.f64 x y) (+.f64 x y)) (patch (/.f64 (-.f64 x y) (+.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (- (+ (* -1 (/ (* x (- x (* -1 x))) (pow y 2))) (/ x y)) (+ 1 (* -1 (/ x y)))) (taylor inf y) (#s(alt (/.f64 (-.f64 x y) (+.f64 x y)) (patch (/.f64 (-.f64 x y) (+.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (- (+ (/ x y) (/ (* (pow x 2) (- x (* -1 x))) (pow y 3))) (+ 1 (+ (* -1 (/ x y)) (/ (* x (- x (* -1 x))) (pow y 2))))) (taylor inf y) (#s(alt (/.f64 (-.f64 x y) (+.f64 x y)) (patch (/.f64 (-.f64 x y) (+.f64 x y)) #<representation binary64>) () ())) ())
#s(alt -1 (taylor -inf y) (#s(alt (/.f64 (-.f64 x y) (+.f64 x y)) (patch (/.f64 (-.f64 x y) (+.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (- (* -1 (/ (- (* -1 x) x) y)) 1) (taylor -inf y) (#s(alt (/.f64 (-.f64 x y) (+.f64 x y)) (patch (/.f64 (-.f64 x y) (+.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (- (* -1 (/ (- (+ (* -1 x) (* -1 (/ (* x (- (* -1 x) x)) y))) x) y)) 1) (taylor -inf y) (#s(alt (/.f64 (-.f64 x y) (+.f64 x y)) (patch (/.f64 (-.f64 x y) (+.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (- (* -1 (/ (- (+ (* -1 x) (* -1 (/ (- (* -1 (/ (* (pow x 2) (- (* -1 x) x)) y)) (* -1 (* x (- (* -1 x) x)))) y))) x) y)) 1) (taylor -inf y) (#s(alt (/.f64 (-.f64 x y) (+.f64 x y)) (patch (/.f64 (-.f64 x y) (+.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* -1 y) (taylor 0 x) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt (- x y) (taylor 0 x) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt (- x y) (taylor 0 x) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt (- x y) (taylor 0 x) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt x (taylor inf x) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* -1 (/ y x)))) (taylor inf x) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* -1 (/ y x)))) (taylor inf x) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* -1 (/ y x)))) (taylor inf x) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt x (taylor -inf x) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ y x) 1))) (taylor -inf x) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ y x) 1))) (taylor -inf x) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ y x) 1))) (taylor -inf x) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 y) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 y)) (taylor 0 y) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 y)) (taylor 0 y) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 y)) (taylor 0 y) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* -1 y) (taylor inf y) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* y (- (/ x y) 1)) (taylor inf y) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* y (- (/ x y) 1)) (taylor inf y) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* y (- (/ x y) 1)) (taylor inf y) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* -1 y) (taylor -inf y) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ 1 (* -1 (/ x y))))) (taylor -inf y) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ 1 (* -1 (/ x y))))) (taylor -inf y) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ 1 (* -1 (/ x y))))) (taylor -inf y) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt y (taylor 0 x) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt (+ x y) (taylor 0 x) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt (+ x y) (taylor 0 x) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt (+ x y) (taylor 0 x) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt x (taylor inf x) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (/ y x))) (taylor inf x) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (/ y x))) (taylor inf x) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (/ y x))) (taylor inf x) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt x (taylor -inf x) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ y x)) 1))) (taylor -inf x) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ y x)) 1))) (taylor -inf x) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ y x)) 1))) (taylor -inf x) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 y) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt (+ x y) (taylor 0 y) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt (+ x y) (taylor 0 y) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt (+ x y) (taylor 0 y) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt y (taylor inf y) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 (/ x y))) (taylor inf y) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 (/ x y))) (taylor inf y) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 (/ x y))) (taylor inf y) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt y (taylor -inf y) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (- (* -1 (/ x y)) 1))) (taylor -inf y) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (- (* -1 (/ x y)) 1))) (taylor -inf y) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (- (* -1 (/ x y)) 1))) (taylor -inf y) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())
Calls

18 calls:

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

simplify214.0ms (3.7%)

Memory
5.1MiB live, 366.6MiB allocated
Algorithm
egg-herbie
Rules
11 876×lower-fma.f64
11 876×lower-fma.f32
3 410×lower-*.f64
3 410×lower-*.f32
2 360×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0142462
1439432
21229387
34744375
08368351
Stop Event
iter limit
node limit
Counts
72 → 63
Calls
Call 1
Inputs
-1
(- (* 2 (/ x y)) 1)
(- (* x (+ (* -2 (/ x (pow y 2))) (* 2 (/ 1 y)))) 1)
(- (* x (+ (* x (- (* 2 (/ x (pow y 3))) (* 2 (/ 1 (pow y 2))))) (* 2 (/ 1 y)))) 1)
1
(- (+ 1 (* -1 (/ y x))) (/ y x))
(- (+ 1 (+ (* -1 (/ y x)) (* -1 (/ (* y (- (* -1 y) y)) (pow x 2))))) (/ y x))
(- (+ 1 (+ (* -1 (/ y x)) (/ (* (pow y 2) (- (* -1 y) y)) (pow x 3)))) (+ (/ y x) (/ (* y (- (* -1 y) y)) (pow x 2))))
1
(- (+ 1 (* -1 (/ y x))) (/ y x))
(+ 1 (* -1 (/ (+ (* -1 (- (* -1 y) y)) (/ (* y (- (* -1 y) y)) x)) x)))
(+ 1 (* -1 (/ (+ (* -1 (- (* -1 y) y)) (* -1 (/ (+ (* -1 (* y (- (* -1 y) y))) (/ (* (pow y 2) (- (* -1 y) y)) x)) x))) x)))
1
(+ 1 (* -2 (/ y x)))
(+ 1 (* y (- (* 2 (/ y (pow x 2))) (* 2 (/ 1 x)))))
(+ 1 (* y (- (* y (+ (* -2 (/ y (pow x 3))) (* 2 (/ 1 (pow x 2))))) (* 2 (/ 1 x)))))
-1
(- (/ x y) (+ 1 (* -1 (/ x y))))
(- (+ (* -1 (/ (* x (- x (* -1 x))) (pow y 2))) (/ x y)) (+ 1 (* -1 (/ x y))))
(- (+ (/ x y) (/ (* (pow x 2) (- x (* -1 x))) (pow y 3))) (+ 1 (+ (* -1 (/ x y)) (/ (* x (- x (* -1 x))) (pow y 2)))))
-1
(- (* -1 (/ (- (* -1 x) x) y)) 1)
(- (* -1 (/ (- (+ (* -1 x) (* -1 (/ (* x (- (* -1 x) x)) y))) x) y)) 1)
(- (* -1 (/ (- (+ (* -1 x) (* -1 (/ (- (* -1 (/ (* (pow x 2) (- (* -1 x) x)) y)) (* -1 (* x (- (* -1 x) x)))) y))) x) y)) 1)
(* -1 y)
(- x y)
(- x y)
(- x y)
x
(* x (+ 1 (* -1 (/ y x))))
(* x (+ 1 (* -1 (/ y x))))
(* x (+ 1 (* -1 (/ y x))))
x
(* -1 (* x (- (/ y x) 1)))
(* -1 (* x (- (/ y x) 1)))
(* -1 (* x (- (/ y x) 1)))
x
(+ x (* -1 y))
(+ x (* -1 y))
(+ x (* -1 y))
(* -1 y)
(* y (- (/ x y) 1))
(* y (- (/ x y) 1))
(* y (- (/ x y) 1))
(* -1 y)
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(* -1 (* y (+ 1 (* -1 (/ x y)))))
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
#s(literal -1 binary64)
(- (* 2 (/ x y)) 1)
(+.f64 #s(literal -1 binary64) (/.f64 (+.f64 x x) y))
(- (* x (+ (* -2 (/ x (pow y 2))) (* 2 (/ 1 y)))) 1)
(-.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (+.f64 (/.f64 (+.f64 x x) y) #s(literal -2 binary64))) y))
(- (* x (+ (* x (- (* 2 (/ x (pow y 3))) (* 2 (/ 1 (pow y 2))))) (* 2 (/ 1 y)))) 1)
(+.f64 #s(literal -1 binary64) (/.f64 (+.f64 x (-.f64 x (/.f64 (*.f64 x (fma.f64 x (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 x x) y)) x)) y))) y))
1
#s(literal 1 binary64)
(- (+ 1 (* -1 (/ y x))) (/ y x))
(fma.f64 y (/.f64 #s(literal -2 binary64) x) #s(literal 1 binary64))
(- (+ 1 (+ (* -1 (/ y x)) (* -1 (/ (* y (- (* -1 y) y)) (pow x 2))))) (/ y x))
(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (fma.f64 y (/.f64 #s(literal -2 binary64) x) #s(literal 2 binary64))) x))
(- (+ 1 (+ (* -1 (/ y x)) (/ (* (pow y 2) (- (* -1 y) y)) (pow x 3)))) (+ (/ y x) (/ (* y (- (* -1 y) y)) (pow x 2))))
(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (*.f64 y (*.f64 y (fma.f64 y (/.f64 #s(literal -2 binary64) x) #s(literal 2 binary64)))) x) (+.f64 y y)) x))
1
#s(literal 1 binary64)
(- (+ 1 (* -1 (/ y x))) (/ y x))
(fma.f64 y (/.f64 #s(literal -2 binary64) x) #s(literal 1 binary64))
(+ 1 (* -1 (/ (+ (* -1 (- (* -1 y) y)) (/ (* y (- (* -1 y) y)) x)) x)))
(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (fma.f64 y (/.f64 #s(literal -2 binary64) x) #s(literal 2 binary64))) x))
(+ 1 (* -1 (/ (+ (* -1 (- (* -1 y) y)) (* -1 (/ (+ (* -1 (* y (- (* -1 y) y))) (/ (* (pow y 2) (- (* -1 y) y)) x)) x))) x)))
(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (*.f64 y (*.f64 y (fma.f64 y (/.f64 #s(literal -2 binary64) x) #s(literal 2 binary64)))) x) (+.f64 y y)) x))
1
#s(literal 1 binary64)
(+ 1 (* -2 (/ y x)))
(fma.f64 y (/.f64 #s(literal -2 binary64) x) #s(literal 1 binary64))
(+ 1 (* y (- (* 2 (/ y (pow x 2))) (* 2 (/ 1 x)))))
(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (fma.f64 y (/.f64 #s(literal -2 binary64) x) #s(literal 2 binary64))) x))
(+ 1 (* y (- (* y (+ (* -2 (/ y (pow x 3))) (* 2 (/ 1 (pow x 2))))) (* 2 (/ 1 x)))))
(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (*.f64 y (*.f64 y (fma.f64 y (/.f64 #s(literal -2 binary64) x) #s(literal 2 binary64)))) x) (+.f64 y y)) x))
-1
#s(literal -1 binary64)
(- (/ x y) (+ 1 (* -1 (/ x y))))
(+.f64 #s(literal -1 binary64) (/.f64 (+.f64 x x) y))
(- (+ (* -1 (/ (* x (- x (* -1 x))) (pow y 2))) (/ x y)) (+ 1 (* -1 (/ x y))))
(-.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (+.f64 (/.f64 (+.f64 x x) y) #s(literal -2 binary64))) y))
(- (+ (/ x y) (/ (* (pow x 2) (- x (* -1 x))) (pow y 3))) (+ 1 (+ (* -1 (/ x y)) (/ (* x (- x (* -1 x))) (pow y 2)))))
(+.f64 #s(literal -1 binary64) (/.f64 (+.f64 x (-.f64 x (/.f64 (*.f64 x (fma.f64 x (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 x x) y)) x)) y))) y))
-1
#s(literal -1 binary64)
(- (* -1 (/ (- (* -1 x) x) y)) 1)
(+.f64 #s(literal -1 binary64) (/.f64 (+.f64 x x) y))
(- (* -1 (/ (- (+ (* -1 x) (* -1 (/ (* x (- (* -1 x) x)) y))) x) y)) 1)
(-.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (+.f64 (/.f64 (+.f64 x x) y) #s(literal -2 binary64))) y))
(- (* -1 (/ (- (+ (* -1 x) (* -1 (/ (- (* -1 (/ (* (pow x 2) (- (* -1 x) x)) y)) (* -1 (* x (- (* -1 x) x)))) y))) x) y)) 1)
(+.f64 #s(literal -1 binary64) (/.f64 (+.f64 x (-.f64 x (/.f64 (*.f64 x (fma.f64 x (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 x x) y)) x)) y))) y))
(* -1 y)
(neg.f64 y)
(- x y)
(-.f64 x y)
(- x y)
(-.f64 x y)
(- x y)
(-.f64 x y)
x
(* x (+ 1 (* -1 (/ y x))))
(-.f64 x y)
(* x (+ 1 (* -1 (/ y x))))
(-.f64 x y)
(* x (+ 1 (* -1 (/ y x))))
(-.f64 x y)
x
(* -1 (* x (- (/ y x) 1)))
(-.f64 x y)
(* -1 (* x (- (/ y x) 1)))
(-.f64 x y)
(* -1 (* x (- (/ y x) 1)))
(-.f64 x y)
x
(+ x (* -1 y))
(-.f64 x y)
(+ x (* -1 y))
(-.f64 x y)
(+ x (* -1 y))
(-.f64 x y)
(* -1 y)
(neg.f64 y)
(* y (- (/ x y) 1))
(-.f64 x y)
(* y (- (/ x y) 1))
(-.f64 x y)
(* y (- (/ x y) 1))
(-.f64 x y)
(* -1 y)
(neg.f64 y)
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(-.f64 x y)
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(-.f64 x y)
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(-.f64 x y)
y
(+ x y)
(+.f64 x y)
(+ x y)
(+.f64 x y)
(+ x y)
(+.f64 x y)
x
(* x (+ 1 (/ y x)))
(+.f64 x y)
(* x (+ 1 (/ y x)))
(+.f64 x y)
(* x (+ 1 (/ y x)))
(+.f64 x y)
x
(* -1 (* x (- (* -1 (/ y x)) 1)))
(+.f64 x y)
(* -1 (* x (- (* -1 (/ y x)) 1)))
(+.f64 x y)
(* -1 (* x (- (* -1 (/ y x)) 1)))
(+.f64 x y)
x
(+ x y)
(+.f64 x y)
(+ x y)
(+.f64 x y)
(+ x y)
(+.f64 x y)
y
(* y (+ 1 (/ x y)))
(+.f64 x y)
(* y (+ 1 (/ x y)))
(+.f64 x y)
(* y (+ 1 (/ x y)))
(+.f64 x y)
y
(* -1 (* y (- (* -1 (/ x y)) 1)))
(+.f64 x y)
(* -1 (* y (- (* -1 (/ x y)) 1)))
(+.f64 x y)
(* -1 (* y (- (* -1 (/ x y)) 1)))
(+.f64 x y)

rewrite216.0ms (3.8%)

Memory
47.5MiB live, 352.9MiB allocated
Rules
3 962×lower-*.f64
3 962×lower-*.f32
3 438×lower-/.f32
3 436×lower-/.f64
2 768×lower-fma.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0513
0813
13913
230913
3515313
0867113
Stop Event
iter limit
node limit
iter limit
Counts
3 → 497
Calls
Call 1
Inputs
(/.f64 (-.f64 x y) (+.f64 x y))
(-.f64 x y)
(+.f64 x y)
Outputs
(+.f64 (/.f64 x (+.f64 x y)) (/.f64 y (-.f64 (neg.f64 y) x)))
(+.f64 (/.f64 x (+.f64 x y)) (*.f64 #s(literal 1 binary64) (/.f64 y (-.f64 (neg.f64 y) x))))
(+.f64 (/.f64 x (+.f64 x y)) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x y)) (neg.f64 y)))
(+.f64 (/.f64 (*.f64 x x) (*.f64 (+.f64 x y) (+.f64 x y))) (neg.f64 (/.f64 (*.f64 y y) (*.f64 (+.f64 x y) (+.f64 x y)))))
(+.f64 (/.f64 (*.f64 x x) (*.f64 (+.f64 x y) (+.f64 x y))) (*.f64 (/.f64 y (-.f64 (neg.f64 y) x)) (/.f64 y (+.f64 x y))))
(+.f64 (/.f64 y (-.f64 (neg.f64 y) x)) (/.f64 x (+.f64 x y)))
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x y)) (neg.f64 y)) (/.f64 x (+.f64 x y)))
(+.f64 (*.f64 (/.f64 (-.f64 x y) (fma.f64 y (*.f64 y y) (*.f64 x (*.f64 x x)))) (*.f64 x x)) (*.f64 (/.f64 (-.f64 x y) (fma.f64 y (*.f64 y y) (*.f64 x (*.f64 x x)))) (*.f64 y (-.f64 y x))))
(+.f64 (*.f64 (/.f64 (-.f64 x y) (fma.f64 y (*.f64 y y) (*.f64 x (*.f64 x x)))) (*.f64 y (-.f64 y x))) (*.f64 (/.f64 (-.f64 x y) (fma.f64 y (*.f64 y y) (*.f64 x (*.f64 x x)))) (*.f64 x x)))
(+.f64 (*.f64 (/.f64 x (+.f64 x y)) #s(literal 1 binary64)) (*.f64 (/.f64 y (-.f64 (neg.f64 y) x)) #s(literal 1 binary64)))
(+.f64 (*.f64 (*.f64 x x) (/.f64 (-.f64 x y) (fma.f64 y (*.f64 y y) (*.f64 x (*.f64 x x))))) (*.f64 (*.f64 y (-.f64 y x)) (/.f64 (-.f64 x y) (fma.f64 y (*.f64 y y) (*.f64 x (*.f64 x x))))))
(+.f64 (*.f64 (*.f64 y (-.f64 y x)) (/.f64 (-.f64 x y) (fma.f64 y (*.f64 y y) (*.f64 x (*.f64 x x))))) (*.f64 (*.f64 x x) (/.f64 (-.f64 x y) (fma.f64 y (*.f64 y y) (*.f64 x (*.f64 x x))))))
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 x y) (-.f64 x y))) #s(literal -1 binary64)))
(-.f64 (/.f64 x (+.f64 x y)) (/.f64 y (+.f64 x y)))
(-.f64 #s(literal 0 binary64) (/.f64 (-.f64 y x) (+.f64 x y)))
(-.f64 (/.f64 (*.f64 x x) (*.f64 (+.f64 x y) (+.f64 x y))) (/.f64 (*.f64 y y) (*.f64 (+.f64 x y) (+.f64 x y))))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 (neg.f64 y) x)) (/.f64 (-.f64 y x) (+.f64 x y)))
(-.f64 (/.f64 (/.f64 (*.f64 x (*.f64 x x)) (fma.f64 y (+.f64 x y) (*.f64 x x))) (+.f64 x y)) (/.f64 (/.f64 (*.f64 y (*.f64 y y)) (fma.f64 y (+.f64 x y) (*.f64 x x))) (+.f64 x y)))
(-.f64 (/.f64 (*.f64 x (*.f64 x x)) (*.f64 (+.f64 x y) (fma.f64 y (+.f64 x y) (*.f64 x x)))) (/.f64 (*.f64 y (*.f64 y y)) (*.f64 (+.f64 x y) (fma.f64 y (+.f64 x y) (*.f64 x x)))))
(-.f64 (/.f64 (*.f64 x (+.f64 x y)) (*.f64 (+.f64 x y) (+.f64 x y))) (/.f64 (*.f64 y (+.f64 x y)) (*.f64 (+.f64 x y) (+.f64 x y))))
(-.f64 (/.f64 (/.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 (+.f64 x y) (+.f64 x y)) (+.f64 x y))) (fma.f64 (/.f64 y (+.f64 x y)) #s(literal 1 binary64) (/.f64 (*.f64 x x) (*.f64 (+.f64 x y) (+.f64 x y))))) (/.f64 (/.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 (+.f64 x y) (+.f64 x y)) (+.f64 x y))) (fma.f64 (/.f64 y (+.f64 x y)) #s(literal 1 binary64) (/.f64 (*.f64 x x) (*.f64 (+.f64 x y) (+.f64 x y))))))
(-.f64 (/.f64 (/.f64 (*.f64 x x) (*.f64 (+.f64 x y) (+.f64 x y))) #s(literal 1 binary64)) (/.f64 (/.f64 (*.f64 y y) (*.f64 (+.f64 x y) (+.f64 x y))) #s(literal 1 binary64)))
(fma.f64 x (/.f64 #s(literal 1 binary64) (+.f64 x y)) (/.f64 y (-.f64 (neg.f64 y) x)))
(fma.f64 x (/.f64 #s(literal 1 binary64) (+.f64 x y)) (*.f64 #s(literal 1 binary64) (/.f64 y (-.f64 (neg.f64 y) x))))
(fma.f64 x (/.f64 #s(literal 1 binary64) (+.f64 x y)) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x y)) (neg.f64 y)))
(fma.f64 x (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x y)) (/.f64 x (+.f64 x y))) (neg.f64 (/.f64 (*.f64 y y) (*.f64 (+.f64 x y) (+.f64 x y)))))
(fma.f64 x (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x y)) (/.f64 x (+.f64 x y))) (*.f64 (/.f64 y (-.f64 (neg.f64 y) x)) (/.f64 y (+.f64 x y))))
(fma.f64 y (/.f64 #s(literal -1 binary64) (+.f64 x y)) (/.f64 x (+.f64 x y)))
(fma.f64 (-.f64 x y) (/.f64 x (*.f64 (-.f64 x y) (+.f64 x y))) (/.f64 y (-.f64 (neg.f64 y) x)))
(fma.f64 (-.f64 x y) (/.f64 x (*.f64 (-.f64 x y) (+.f64 x y))) (*.f64 #s(literal 1 binary64) (/.f64 y (-.f64 (neg.f64 y) x))))
(fma.f64 (-.f64 x y) (/.f64 x (*.f64 (-.f64 x y) (+.f64 x y))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x y)) (neg.f64 y)))
(fma.f64 (/.f64 x (+.f64 x y)) (/.f64 x (+.f64 x y)) (neg.f64 (/.f64 (*.f64 y y) (*.f64 (+.f64 x y) (+.f64 x y)))))
(fma.f64 (/.f64 x (+.f64 x y)) (/.f64 x (+.f64 x y)) (*.f64 (/.f64 y (-.f64 (neg.f64 y) x)) (/.f64 y (+.f64 x y))))
(fma.f64 (/.f64 x (+.f64 x y)) #s(literal 1 binary64) (*.f64 (/.f64 y (-.f64 (neg.f64 y) x)) #s(literal 1 binary64)))
(fma.f64 (*.f64 x x) (/.f64 (-.f64 x y) (fma.f64 y (*.f64 y y) (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 y (-.f64 y x)) (/.f64 (-.f64 x y) (fma.f64 y (*.f64 y y) (*.f64 x (*.f64 x x))))))
(fma.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 x y) (+.f64 x y))) (neg.f64 (/.f64 (*.f64 y y) (*.f64 (+.f64 x y) (+.f64 x y)))))
(fma.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 x y) (+.f64 x y))) (*.f64 (/.f64 y (-.f64 (neg.f64 y) x)) (/.f64 y (+.f64 x y))))
(fma.f64 (*.f64 y (-.f64 y x)) (/.f64 (-.f64 x y) (fma.f64 y (*.f64 y y) (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 x x) (/.f64 (-.f64 x y) (fma.f64 y (*.f64 y y) (*.f64 x (*.f64 x x))))))
(fma.f64 (fma.f64 x (-.f64 x y) (*.f64 y y)) (/.f64 x (fma.f64 y (*.f64 y y) (*.f64 x (*.f64 x x)))) (/.f64 y (-.f64 (neg.f64 y) x)))
(fma.f64 (fma.f64 x (-.f64 x y) (*.f64 y y)) (/.f64 x (fma.f64 y (*.f64 y y) (*.f64 x (*.f64 x x)))) (*.f64 #s(literal 1 binary64) (/.f64 y (-.f64 (neg.f64 y) x))))
(fma.f64 (fma.f64 x (-.f64 x y) (*.f64 y y)) (/.f64 x (fma.f64 y (*.f64 y y) (*.f64 x (*.f64 x x)))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x y)) (neg.f64 y)))
(fma.f64 #s(literal 1 binary64) (/.f64 x (+.f64 x y)) (/.f64 y (-.f64 (neg.f64 y) x)))
(fma.f64 #s(literal 1 binary64) (/.f64 x (+.f64 x y)) (*.f64 #s(literal 1 binary64) (/.f64 y (-.f64 (neg.f64 y) x))))
(fma.f64 #s(literal 1 binary64) (/.f64 x (+.f64 x y)) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x y)) (neg.f64 y)))
(fma.f64 (neg.f64 y) (/.f64 #s(literal 1 binary64) (+.f64 x y)) (/.f64 x (+.f64 x y)))
(fma.f64 #s(literal -1 binary64) (/.f64 y (+.f64 x y)) (/.f64 x (+.f64 x y)))
(fma.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) (+.f64 x y)) (/.f64 y (-.f64 (neg.f64 y) x)))
(fma.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) (+.f64 x y)) (*.f64 #s(literal 1 binary64) (/.f64 y (-.f64 (neg.f64 y) x))))
(fma.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) (+.f64 x y)) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x y)) (neg.f64 y)))
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 x y)) x (/.f64 y (-.f64 (neg.f64 y) x)))
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 x y)) x (*.f64 #s(literal 1 binary64) (/.f64 y (-.f64 (neg.f64 y) x))))
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 x y)) x (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x y)) (neg.f64 y)))
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 x y)) (neg.f64 y) (/.f64 x (+.f64 x y)))
(fma.f64 (/.f64 y (fma.f64 y (*.f64 y y) (*.f64 x (*.f64 x x)))) (neg.f64 (fma.f64 x (-.f64 x y) (*.f64 y y))) (/.f64 x (+.f64 x y)))
(fma.f64 (/.f64 y (*.f64 (-.f64 x y) (+.f64 x y))) (-.f64 y x) (/.f64 x (+.f64 x y)))
(fma.f64 (/.f64 (-.f64 x y) (fma.f64 y (*.f64 y y) (*.f64 x (*.f64 x x)))) (*.f64 x x) (*.f64 (/.f64 (-.f64 x y) (fma.f64 y (*.f64 y y) (*.f64 x (*.f64 x x)))) (*.f64 y (-.f64 y x))))
(fma.f64 (/.f64 (-.f64 x y) (fma.f64 y (*.f64 y y) (*.f64 x (*.f64 x x)))) (*.f64 y (-.f64 y x)) (*.f64 (/.f64 (-.f64 x y) (fma.f64 y (*.f64 y y) (*.f64 x (*.f64 x x)))) (*.f64 x x)))
(fma.f64 (/.f64 x (fma.f64 y (*.f64 y y) (*.f64 x (*.f64 x x)))) (fma.f64 x (-.f64 x y) (*.f64 y y)) (/.f64 y (-.f64 (neg.f64 y) x)))
(fma.f64 (/.f64 x (fma.f64 y (*.f64 y y) (*.f64 x (*.f64 x x)))) (fma.f64 x (-.f64 x y) (*.f64 y y)) (*.f64 #s(literal 1 binary64) (/.f64 y (-.f64 (neg.f64 y) x))))
(fma.f64 (/.f64 x (fma.f64 y (*.f64 y y) (*.f64 x (*.f64 x x)))) (fma.f64 x (-.f64 x y) (*.f64 y y)) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x y)) (neg.f64 y)))
(fma.f64 (/.f64 x (fma.f64 y (*.f64 y y) (*.f64 x (*.f64 x x)))) (*.f64 (fma.f64 x (-.f64 x y) (*.f64 y y)) (/.f64 x (+.f64 x y))) (neg.f64 (/.f64 (*.f64 y y) (*.f64 (+.f64 x y) (+.f64 x y)))))
(fma.f64 (/.f64 x (fma.f64 y (*.f64 y y) (*.f64 x (*.f64 x x)))) (*.f64 (fma.f64 x (-.f64 x y) (*.f64 y y)) (/.f64 x (+.f64 x y))) (*.f64 (/.f64 y (-.f64 (neg.f64 y) x)) (/.f64 y (+.f64 x y))))
(fma.f64 (/.f64 x (*.f64 (-.f64 x y) (+.f64 x y))) (-.f64 x y) (/.f64 y (-.f64 (neg.f64 y) x)))
(fma.f64 (/.f64 x (*.f64 (-.f64 x y) (+.f64 x y))) (-.f64 x y) (*.f64 #s(literal 1 binary64) (/.f64 y (-.f64 (neg.f64 y) x))))
(fma.f64 (/.f64 x (*.f64 (-.f64 x y) (+.f64 x y))) (-.f64 x y) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x y)) (neg.f64 y)))
(fma.f64 (/.f64 x (*.f64 (-.f64 x y) (+.f64 x y))) (*.f64 (-.f64 x y) (/.f64 x (+.f64 x y))) (neg.f64 (/.f64 (*.f64 y y) (*.f64 (+.f64 x y) (+.f64 x y)))))
(fma.f64 (/.f64 x (*.f64 (-.f64 x y) (+.f64 x y))) (*.f64 (-.f64 x y) (/.f64 x (+.f64 x y))) (*.f64 (/.f64 y (-.f64 (neg.f64 y) x)) (/.f64 y (+.f64 x y))))
(fma.f64 (*.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x y)) (/.f64 y (-.f64 (neg.f64 y) x)))
(fma.f64 (*.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x y)) (*.f64 #s(literal 1 binary64) (/.f64 y (-.f64 (neg.f64 y) x))))
(fma.f64 (*.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x y)) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x y)) (neg.f64 y)))
(fma.f64 (*.f64 (/.f64 x (fma.f64 y (*.f64 y y) (*.f64 x (*.f64 x x)))) (/.f64 x (fma.f64 y (*.f64 y y) (*.f64 x (*.f64 x x))))) (*.f64 (fma.f64 x (-.f64 x y) (*.f64 y y)) (fma.f64 x (-.f64 x y) (*.f64 y y))) (neg.f64 (/.f64 (*.f64 y y) (*.f64 (+.f64 x y) (+.f64 x y)))))
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(/.f64 (*.f64 (*.f64 (fma.f64 y (*.f64 y y) (*.f64 x (*.f64 x x))) (fma.f64 y (*.f64 y y) (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x y) (*.f64 y y)))) (fma.f64 y (*.f64 y y) (*.f64 x (*.f64 x x))))
(/.f64 (*.f64 (*.f64 (fma.f64 y (*.f64 y y) (*.f64 x (*.f64 x x))) (fma.f64 y (*.f64 y y) (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (-.f64 x y))) (fma.f64 (*.f64 y y) (fma.f64 x x (*.f64 y y)) (*.f64 x (*.f64 x (*.f64 x x)))))
(/.f64 (*.f64 (*.f64 (fma.f64 x x (*.f64 y y)) (*.f64 (-.f64 x y) (+.f64 x y))) (/.f64 #s(literal 1 binary64) (-.f64 x y))) (fma.f64 x x (*.f64 y y)))
(/.f64 (/.f64 (*.f64 (+.f64 x y) (-.f64 y x)) #s(literal -1 binary64)) (-.f64 x y))
(pow.f64 (+.f64 x y) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 x y)) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x y)) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 (+.f64 x y) #s(literal 1 binary64))
(*.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 y (*.f64 y y) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x y) (*.f64 y y))))
(*.f64 (fma.f64 y (*.f64 y y) (*.f64 x (*.f64 x x))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x y) (*.f64 y y))) #s(literal 1 binary64)))
(*.f64 (fma.f64 y (+.f64 x y) (*.f64 x x)) (*.f64 (/.f64 (+.f64 x y) (fma.f64 y (+.f64 x y) (*.f64 x x))) #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 (*.f64 (-.f64 x y) (+.f64 x y)) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 x y)) #s(literal 1 binary64)))
(*.f64 #s(literal -1 binary64) (-.f64 (neg.f64 y) x))
(*.f64 (*.f64 (+.f64 x y) (-.f64 y x)) (/.f64 #s(literal 1 binary64) (-.f64 y x)))
(*.f64 (*.f64 (fma.f64 y (+.f64 x y) (*.f64 x x)) (-.f64 y x)) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 x (-.f64 x y) (*.f64 y y)))))
(*.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 y (*.f64 y y) (*.f64 x (*.f64 x x))))
(*.f64 (/.f64 (+.f64 x y) (fma.f64 y (*.f64 y y) (*.f64 x (*.f64 x x)))) (/.f64 (-.f64 x y) (/.f64 #s(literal 1 binary64) (fma.f64 y (+.f64 x y) (*.f64 x x)))))
(*.f64 (*.f64 (/.f64 (+.f64 x y) (fma.f64 y (+.f64 x y) (*.f64 x x))) #s(literal 1 binary64)) (fma.f64 y (+.f64 x y) (*.f64 x x)))
(*.f64 (*.f64 (/.f64 (+.f64 x y) (fma.f64 y (+.f64 x y) (*.f64 x x))) #s(literal 1 binary64)) (/.f64 (fma.f64 y (+.f64 x y) (*.f64 x x)) #s(literal 1 binary64)))
(*.f64 (/.f64 (+.f64 x y) (*.f64 (/.f64 (+.f64 x y) (fma.f64 y (+.f64 x y) (*.f64 x x))) #s(literal 1 binary64))) (/.f64 (-.f64 x y) (fma.f64 x (-.f64 x y) (*.f64 y y))))
(*.f64 (*.f64 #s(literal 1 binary64) (*.f64 (/.f64 (+.f64 x y) (fma.f64 y (+.f64 x y) (*.f64 x x))) #s(literal 1 binary64))) (fma.f64 y (+.f64 x y) (*.f64 x x)))
(*.f64 (/.f64 (*.f64 (+.f64 x y) (-.f64 y x)) (*.f64 (-.f64 x y) (+.f64 x y))) (-.f64 (neg.f64 y) x))
(*.f64 (/.f64 (*.f64 (+.f64 x y) (-.f64 y x)) (fma.f64 y (*.f64 y y) (*.f64 x (*.f64 x x)))) (neg.f64 (fma.f64 y (+.f64 x y) (*.f64 x x))))
(*.f64 (/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (*.f64 (+.f64 x y) (-.f64 y x))) (-.f64 (neg.f64 y) x))
(*.f64 (/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (*.f64 (fma.f64 y (+.f64 x y) (*.f64 x x)) (-.f64 y x))) (neg.f64 (fma.f64 y (+.f64 x y) (*.f64 x x))))
(*.f64 (/.f64 (fma.f64 y (*.f64 y y) (*.f64 x (*.f64 x x))) (fma.f64 x (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 (-.f64 y x) (-.f64 y x)) (-.f64 y x))))) (fma.f64 (*.f64 y (-.f64 y x)) (-.f64 (*.f64 y (-.f64 y x)) (*.f64 x x)) (*.f64 x (*.f64 x (*.f64 x x)))))
(*.f64 (/.f64 (fma.f64 y (*.f64 y y) (*.f64 x (*.f64 x x))) (*.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))))

eval82.0ms (1.4%)

Memory
-48.3MiB live, 161.4MiB allocated
Compiler

Compiled 14 469 to 1 238 computations (91.4% saved)

prune129.0ms (2.3%)

Memory
33.5MiB live, 234.5MiB allocated
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New5546560
Fresh000
Picked011
Done000
Total5547561
Accuracy
100.0%
Counts
561 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(/.f64 (-.f64 x y) (+.f64 x y))
56.9%
(/.f64 #s(approx (- x y) (neg.f64 y)) (+.f64 x y))
99.8%
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x y)) (-.f64 x y))
43.8%
#s(approx (/ (- x y) (+ x y)) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (fma.f64 y (/.f64 #s(literal -2 binary64) x) #s(literal 2 binary64))) x)))
56.7%
#s(approx (/ (- x y) (+ x y)) (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 x x) y)))
43.7%
#s(approx (/ (- x y) (+ x y)) #s(literal 1 binary64))
55.8%
#s(approx (/ (- x y) (+ x y)) #s(literal -1 binary64))
Compiler

Compiled 115 to 73 computations (36.5% saved)

simplify64.0ms (1.1%)

Memory
-0.5MiB live, 38.8MiB allocated
Algorithm
egg-herbie
Localize:

Found 14 expressions of interest:

NewMetricScoreProgram
cost-diff0
(+.f64 x x)
cost-diff0
(/.f64 (+.f64 x x) y)
cost-diff0
(+.f64 #s(literal -1 binary64) (/.f64 (+.f64 x x) y))
cost-diff0
#s(approx (/ (- x y) (+ x y)) (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 x x) y)))
cost-diff0
(+.f64 x y)
cost-diff0
(neg.f64 y)
cost-diff0
#s(approx (- x y) (neg.f64 y))
cost-diff0
(/.f64 #s(approx (- x y) (neg.f64 y)) (+.f64 x y))
cost-diff0
#s(approx (/ (- x y) (+ x y)) #s(literal 1 binary64))
cost-diff0
#s(approx (/ (- x y) (+ x y)) #s(literal -1 binary64))
cost-diff0
(-.f64 x y)
cost-diff0
(+.f64 x y)
cost-diff0
(/.f64 #s(literal 1 binary64) (+.f64 x y))
cost-diff320
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x y)) (-.f64 x y))
Rules
768×lower-fma.f64
768×lower-fma.f32
432×lower-*.f32
430×lower-*.f64
256×times-frac
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02099
02999
14497
26997
314397
423597
533797
648397
768597
8102797
9125597
10136297
11141797
12144797
13145997
14148497
15149297
0149295
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x y)) (-.f64 x y))
(/.f64 #s(literal 1 binary64) (+.f64 x y))
#s(literal 1 binary64)
(+.f64 x y)
x
y
(-.f64 x y)
#s(approx (/ (- x y) (+ x y)) #s(literal -1 binary64))
#s(literal -1 binary64)
#s(approx (/ (- x y) (+ x y)) #s(literal 1 binary64))
#s(literal 1 binary64)
(/.f64 #s(approx (- x y) (neg.f64 y)) (+.f64 x y))
#s(approx (- x y) (neg.f64 y))
(neg.f64 y)
y
(+.f64 x y)
x
#s(approx (/ (- x y) (+ x y)) (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 x x) y)))
(+.f64 #s(literal -1 binary64) (/.f64 (+.f64 x x) y))
#s(literal -1 binary64)
(/.f64 (+.f64 x x) y)
(+.f64 x x)
x
y
Outputs
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x y)) (-.f64 x y))
(/.f64 (-.f64 x y) (+.f64 x y))
(/.f64 #s(literal 1 binary64) (+.f64 x y))
#s(literal 1 binary64)
(+.f64 x y)
x
y
(-.f64 x y)
#s(approx (/ (- x y) (+ x y)) #s(literal -1 binary64))
#s(literal -1 binary64)
#s(approx (/ (- x y) (+ x y)) #s(literal 1 binary64))
#s(literal 1 binary64)
(/.f64 #s(approx (- x y) (neg.f64 y)) (+.f64 x y))
#s(approx (- x y) (neg.f64 y))
(neg.f64 y)
y
(+.f64 x y)
x
#s(approx (/ (- x y) (+ x y)) (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 x x) y)))
#s(approx (/ (- x y) (+ x y)) (fma.f64 #s(literal 2 binary64) (/.f64 x y) #s(literal -1 binary64)))
(+.f64 #s(literal -1 binary64) (/.f64 (+.f64 x x) y))
(fma.f64 #s(literal 2 binary64) (/.f64 x y) #s(literal -1 binary64))
#s(literal -1 binary64)
(/.f64 (+.f64 x x) y)
(+.f64 x x)
x
y

localize71.0ms (1.3%)

Memory
-25.9MiB live, 92.7MiB allocated
Localize:

Found 14 expressions of interest:

NewMetricScoreProgram
accuracy0
(/.f64 (+.f64 x x) y)
accuracy0
(+.f64 x x)
accuracy0
(+.f64 #s(literal -1 binary64) (/.f64 (+.f64 x x) y))
accuracy27.686949538346948
#s(approx (/ (- x y) (+ x y)) (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 x x) y)))
accuracy0
(+.f64 x y)
accuracy0
(neg.f64 y)
accuracy0.01953125
(/.f64 #s(approx (- x y) (neg.f64 y)) (+.f64 x y))
accuracy27.750643003318256
#s(approx (- x y) (neg.f64 y))
accuracy36.03116071657593
#s(approx (/ (- x y) (+ x y)) #s(literal 1 binary64))
accuracy28.276924980265004
#s(approx (/ (- x y) (+ x y)) #s(literal -1 binary64))
accuracy0
(-.f64 x y)
accuracy0
(+.f64 x y)
accuracy0.00390625
(/.f64 #s(literal 1 binary64) (+.f64 x y))
accuracy0.135097509768442
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x y)) (-.f64 x y))
Samples
30.0ms256×0valid
Compiler

Compiled 83 to 15 computations (81.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 18.0ms
ival-div: 8.0ms (44.6% of total)
ival-add: 6.0ms (33.4% of total)
ival-mult: 2.0ms (11.1% of total)
ival-sub: 1.0ms (5.6% of total)
ival-neg: 1.0ms (5.6% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series14.0ms (0.2%)

Memory
26.6MiB live, 26.6MiB allocated
Counts
13 → 288
Calls
Call 1
Inputs
#s(alt (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x y)) (-.f64 x y)) (patch (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x y)) (-.f64 x y)) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (+.f64 x y)) (patch (/.f64 #s(literal 1 binary64) (+.f64 x y)) #<representation binary64>) () ())
#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())
#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())
#s(alt #s(approx (/ (- x y) (+ x y)) #s(literal -1 binary64)) (patch #s(approx (/ (- x y) (+ x y)) #s(literal -1 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (/ (- x y) (+ x y)) #s(literal 1 binary64)) (patch #s(approx (/ (- x y) (+ x y)) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 #s(approx (- x y) (neg.f64 y)) (+.f64 x y)) (patch (/.f64 #s(approx (- x y) (neg.f64 y)) (+.f64 x y)) #<representation binary64>) () ())
#s(alt #s(approx (- x y) (neg.f64 y)) (patch #s(approx (- x y) (neg.f64 y)) #<representation binary64>) () ())
#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation binary64>) () ())
#s(alt #s(approx (/ (- x y) (+ x y)) (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 x x) y))) (patch #s(approx (/ (- x y) (+ x y)) (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 x x) y))) #<representation binary64>) () ())
#s(alt (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 x x) y)) (patch (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 x x) y)) #<representation binary64>) () ())
#s(alt (/.f64 (+.f64 x x) y) (patch (/.f64 (+.f64 x x) y) #<representation binary64>) () ())
#s(alt (+.f64 x x) (patch (+.f64 x x) #<representation binary64>) () ())
Outputs
#s(alt -1 (taylor 0 x) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x y)) (-.f64 x y)) (patch (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x y)) (-.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (- (* 2 (/ x y)) 1) (taylor 0 x) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x y)) (-.f64 x y)) (patch (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x y)) (-.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (- (* x (+ (* -2 (/ x (pow y 2))) (* 2 (/ 1 y)))) 1) (taylor 0 x) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x y)) (-.f64 x y)) (patch (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x y)) (-.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (- (* x (+ (* x (- (* 2 (/ x (pow y 3))) (* 2 (/ 1 (pow y 2))))) (* 2 (/ 1 y)))) 1) (taylor 0 x) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x y)) (-.f64 x y)) (patch (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x y)) (-.f64 x y)) #<representation binary64>) () ())) ())
#s(alt 1 (taylor inf x) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x y)) (-.f64 x y)) (patch (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x y)) (-.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (- (+ 1 (* -1 (/ y x))) (/ y x)) (taylor inf x) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x y)) (-.f64 x y)) (patch (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x y)) (-.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (- (+ 1 (+ (* -1 (/ y x)) (* -1 (/ (* y (- (* -1 y) y)) (pow x 2))))) (/ y x)) (taylor inf x) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x y)) (-.f64 x y)) (patch (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x y)) (-.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (- (+ 1 (+ (* -1 (/ y x)) (/ (* (pow y 2) (- (* -1 y) y)) (pow x 3)))) (+ (/ y x) (/ (* y (- (* -1 y) y)) (pow x 2)))) (taylor inf x) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x y)) (-.f64 x y)) (patch (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x y)) (-.f64 x y)) #<representation binary64>) () ())) ())
#s(alt 1 (taylor -inf x) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x y)) (-.f64 x y)) (patch (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x y)) (-.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (- (+ 1 (* -1 (/ y x))) (/ y x)) (taylor -inf x) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x y)) (-.f64 x y)) (patch (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x y)) (-.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (/ (+ (* -1 (- (* -1 y) y)) (/ (* y (- (* -1 y) y)) x)) x))) (taylor -inf x) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x y)) (-.f64 x y)) (patch (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x y)) (-.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (/ (+ (* -1 (- (* -1 y) y)) (* -1 (/ (+ (* -1 (* y (- (* -1 y) y))) (/ (* (pow y 2) (- (* -1 y) y)) x)) x))) x))) (taylor -inf x) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x y)) (-.f64 x y)) (patch (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x y)) (-.f64 x y)) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 y) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x y)) (-.f64 x y)) (patch (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x y)) (-.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -2 (/ y x))) (taylor 0 y) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x y)) (-.f64 x y)) (patch (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x y)) (-.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* y (- (* 2 (/ y (pow x 2))) (* 2 (/ 1 x))))) (taylor 0 y) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x y)) (-.f64 x y)) (patch (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x y)) (-.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* y (- (* y (+ (* -2 (/ y (pow x 3))) (* 2 (/ 1 (pow x 2))))) (* 2 (/ 1 x))))) (taylor 0 y) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x y)) (-.f64 x y)) (patch (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x y)) (-.f64 x y)) #<representation binary64>) () ())) ())
#s(alt -1 (taylor inf y) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x y)) (-.f64 x y)) (patch (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x y)) (-.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (- (/ x y) (+ 1 (* -1 (/ x y)))) (taylor inf y) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x y)) (-.f64 x y)) (patch (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x y)) (-.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (- (+ (* -1 (/ (* x (- x (* -1 x))) (pow y 2))) (/ x y)) (+ 1 (* -1 (/ x y)))) (taylor inf y) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x y)) (-.f64 x y)) (patch (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x y)) (-.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (- (+ (/ x y) (/ (* (pow x 2) (- x (* -1 x))) (pow y 3))) (+ 1 (+ (* -1 (/ x y)) (/ (* x (- x (* -1 x))) (pow y 2))))) (taylor inf y) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x y)) (-.f64 x y)) (patch (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x y)) (-.f64 x y)) #<representation binary64>) () ())) ())
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#s(alt (* 2 (/ x y)) (taylor -inf x) (#s(alt (/.f64 (+.f64 x x) y) (patch (/.f64 (+.f64 x x) y) #<representation binary64>) () ())) ())
#s(alt (* 2 (/ x y)) (taylor -inf x) (#s(alt (/.f64 (+.f64 x x) y) (patch (/.f64 (+.f64 x x) y) #<representation binary64>) () ())) ())
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#s(alt (* 2 (/ x y)) (taylor -inf y) (#s(alt (/.f64 (+.f64 x x) y) (patch (/.f64 (+.f64 x x) y) #<representation binary64>) () ())) ())
#s(alt (* 2 (/ x y)) (taylor -inf y) (#s(alt (/.f64 (+.f64 x x) y) (patch (/.f64 (+.f64 x x) y) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor 0 x) (#s(alt (+.f64 x x) (patch (+.f64 x x) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor 0 x) (#s(alt (+.f64 x x) (patch (+.f64 x x) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor 0 x) (#s(alt (+.f64 x x) (patch (+.f64 x x) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor 0 x) (#s(alt (+.f64 x x) (patch (+.f64 x x) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor inf x) (#s(alt (+.f64 x x) (patch (+.f64 x x) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor inf x) (#s(alt (+.f64 x x) (patch (+.f64 x x) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor inf x) (#s(alt (+.f64 x x) (patch (+.f64 x x) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor inf x) (#s(alt (+.f64 x x) (patch (+.f64 x x) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor -inf x) (#s(alt (+.f64 x x) (patch (+.f64 x x) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor -inf x) (#s(alt (+.f64 x x) (patch (+.f64 x x) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor -inf x) (#s(alt (+.f64 x x) (patch (+.f64 x x) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor -inf x) (#s(alt (+.f64 x x) (patch (+.f64 x x) #<representation binary64>) () ())) ())
Calls

72 calls:

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

simplify352.0ms (6.2%)

Memory
-31.8MiB live, 488.0MiB allocated
Algorithm
egg-herbie
Rules
17 652×lower-fma.f64
17 652×lower-fma.f32
4 986×lower-*.f64
4 986×lower-*.f32
2 602×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02412690
17332460
219972092
375702092
082491944
Stop Event
iter limit
node limit
Counts
288 → 276
Calls
Call 1
Inputs
-1
(- (* 2 (/ x y)) 1)
(- (* x (+ (* -2 (/ x (pow y 2))) (* 2 (/ 1 y)))) 1)
(- (* x (+ (* x (- (* 2 (/ x (pow y 3))) (* 2 (/ 1 (pow y 2))))) (* 2 (/ 1 y)))) 1)
1
(- (+ 1 (* -1 (/ y x))) (/ y x))
(- (+ 1 (+ (* -1 (/ y x)) (* -1 (/ (* y (- (* -1 y) y)) (pow x 2))))) (/ y x))
(- (+ 1 (+ (* -1 (/ y x)) (/ (* (pow y 2) (- (* -1 y) y)) (pow x 3)))) (+ (/ y x) (/ (* y (- (* -1 y) y)) (pow x 2))))
1
(- (+ 1 (* -1 (/ y x))) (/ y x))
(+ 1 (* -1 (/ (+ (* -1 (- (* -1 y) y)) (/ (* y (- (* -1 y) y)) x)) x)))
(+ 1 (* -1 (/ (+ (* -1 (- (* -1 y) y)) (* -1 (/ (+ (* -1 (* y (- (* -1 y) y))) (/ (* (pow y 2) (- (* -1 y) y)) x)) x))) x)))
1
(+ 1 (* -2 (/ y x)))
(+ 1 (* y (- (* 2 (/ y (pow x 2))) (* 2 (/ 1 x)))))
(+ 1 (* y (- (* y (+ (* -2 (/ y (pow x 3))) (* 2 (/ 1 (pow x 2))))) (* 2 (/ 1 x)))))
-1
(- (/ x y) (+ 1 (* -1 (/ x y))))
(- (+ (* -1 (/ (* x (- x (* -1 x))) (pow y 2))) (/ x y)) (+ 1 (* -1 (/ x y))))
(- (+ (/ x y) (/ (* (pow x 2) (- x (* -1 x))) (pow y 3))) (+ 1 (+ (* -1 (/ x y)) (/ (* x (- x (* -1 x))) (pow y 2)))))
-1
(- (* -1 (/ (- (* -1 x) x) y)) 1)
(- (* -1 (/ (- (+ (* -1 x) (* -1 (/ (* x (- (* -1 x) x)) y))) x) y)) 1)
(- (* -1 (/ (- (+ (* -1 x) (* -1 (/ (- (* -1 (/ (* (pow x 2) (- (* -1 x) x)) y)) (* -1 (* x (- (* -1 x) x)))) y))) x) y)) 1)
(/ 1 y)
(+ (* -1 (/ x (pow y 2))) (/ 1 y))
(+ (* x (- (/ x (pow y 3)) (/ 1 (pow y 2)))) (/ 1 y))
(+ (* x (- (* x (+ (* -1 (/ x (pow y 4))) (/ 1 (pow y 3)))) (/ 1 (pow y 2)))) (/ 1 y))
(/ 1 x)
(/ (+ 1 (* -1 (/ y x))) x)
(/ (- (+ 1 (/ (pow y 2) (pow x 2))) (/ y x)) x)
(/ (- (+ 1 (* -1 (/ (pow y 3) (pow x 3)))) (+ (* -1 (/ (pow y 2) (pow x 2))) (/ y x))) x)
(/ 1 x)
(* -1 (/ (- (/ y x) 1) x))
(* -1 (/ (- (* -1 (/ (- (/ (pow y 2) x) y) x)) 1) x))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (pow y 3) x) (pow y 2)) x)) y) x)) 1) x))
(/ 1 x)
(+ (* -1 (/ y (pow x 2))) (/ 1 x))
(+ (* y (- (/ y (pow x 3)) (/ 1 (pow x 2)))) (/ 1 x))
(+ (* y (- (* y (+ (* -1 (/ y (pow x 4))) (/ 1 (pow x 3)))) (/ 1 (pow x 2)))) (/ 1 x))
(/ 1 y)
(/ (+ 1 (* -1 (/ x y))) y)
(/ (- (+ 1 (/ (pow x 2) (pow y 2))) (/ x y)) y)
(/ (- (+ 1 (* -1 (/ (pow x 3) (pow y 3)))) (+ (* -1 (/ (pow x 2) (pow y 2))) (/ x y))) y)
(/ 1 y)
(* -1 (/ (- (/ x y) 1) y))
(* -1 (/ (- (* -1 (/ (- (/ (pow x 2) y) x) y)) 1) y))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (pow x 3) y) (pow x 2)) y)) x) y)) 1) y))
y
(+ x y)
(+ x y)
(+ x y)
x
(* x (+ 1 (/ y x)))
(* x (+ 1 (/ y x)))
(* x (+ 1 (/ y x)))
x
(* -1 (* x (- (* -1 (/ y x)) 1)))
(* -1 (* x (- (* -1 (/ y x)) 1)))
(* -1 (* x (- (* -1 (/ y x)) 1)))
x
(+ x y)
(+ x y)
(+ x y)
y
(* y (+ 1 (/ x y)))
(* y (+ 1 (/ x y)))
(* y (+ 1 (/ x y)))
y
(* -1 (* y (- (* -1 (/ x y)) 1)))
(* -1 (* y (- (* -1 (/ x y)) 1)))
(* -1 (* y (- (* -1 (/ x y)) 1)))
(* -1 y)
(- 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 (/ x y)) 1)
(- (* x (+ (* -2 (/ x (pow y 2))) (* 2 (/ 1 y)))) 1)
(- (* x (+ (* x (- (* 2 (/ x (pow y 3))) (* 2 (/ 1 (pow y 2))))) (* 2 (/ 1 y)))) 1)
1
(- (+ 1 (* -1 (/ y x))) (/ y x))
(- (+ 1 (+ (* -1 (/ y x)) (* -1 (/ (* y (- (* -1 y) y)) (pow x 2))))) (/ y x))
(- (+ 1 (+ (* -1 (/ y x)) (/ (* (pow y 2) (- (* -1 y) y)) (pow x 3)))) (+ (/ y x) (/ (* y (- (* -1 y) y)) (pow x 2))))
1
(- (+ 1 (* -1 (/ y x))) (/ y x))
(+ 1 (* -1 (/ (+ (* -1 (- (* -1 y) y)) (/ (* y (- (* -1 y) y)) x)) x)))
(+ 1 (* -1 (/ (+ (* -1 (- (* -1 y) y)) (* -1 (/ (+ (* -1 (* y (- (* -1 y) y))) (/ (* (pow y 2) (- (* -1 y) y)) x)) x))) x)))
1
(+ 1 (* -2 (/ y x)))
(+ 1 (* y (- (* 2 (/ y (pow x 2))) (* 2 (/ 1 x)))))
(+ 1 (* y (- (* y (+ (* -2 (/ y (pow x 3))) (* 2 (/ 1 (pow x 2))))) (* 2 (/ 1 x)))))
-1
(- (/ x y) (+ 1 (* -1 (/ x y))))
(- (+ (* -1 (/ (* x (- x (* -1 x))) (pow y 2))) (/ x y)) (+ 1 (* -1 (/ x y))))
(- (+ (/ x y) (/ (* (pow x 2) (- x (* -1 x))) (pow y 3))) (+ 1 (+ (* -1 (/ x y)) (/ (* x (- x (* -1 x))) (pow y 2)))))
-1
(- (* -1 (/ (- (* -1 x) x) y)) 1)
(- (* -1 (/ (- (+ (* -1 x) (* -1 (/ (* x (- (* -1 x) x)) y))) x) y)) 1)
(- (* -1 (/ (- (+ (* -1 x) (* -1 (/ (- (* -1 (/ (* (pow x 2) (- (* -1 x) x)) y)) (* -1 (* x (- (* -1 x) x)))) y))) x) y)) 1)
-1
(- (* 2 (/ x y)) 1)
(- (* x (+ (* -2 (/ x (pow y 2))) (* 2 (/ 1 y)))) 1)
(- (* x (+ (* x (- (* 2 (/ x (pow y 3))) (* 2 (/ 1 (pow y 2))))) (* 2 (/ 1 y)))) 1)
1
(- (+ 1 (* -1 (/ y x))) (/ y x))
(- (+ 1 (+ (* -1 (/ y x)) (* -1 (/ (* y (- (* -1 y) y)) (pow x 2))))) (/ y x))
(- (+ 1 (+ (* -1 (/ y x)) (/ (* (pow y 2) (- (* -1 y) y)) (pow x 3)))) (+ (/ y x) (/ (* y (- (* -1 y) y)) (pow x 2))))
1
(- (+ 1 (* -1 (/ y x))) (/ y x))
(+ 1 (* -1 (/ (+ (* -1 (- (* -1 y) y)) (/ (* y (- (* -1 y) y)) x)) x)))
(+ 1 (* -1 (/ (+ (* -1 (- (* -1 y) y)) (* -1 (/ (+ (* -1 (* y (- (* -1 y) y))) (/ (* (pow y 2) (- (* -1 y) y)) x)) x))) x)))
1
(+ 1 (* -2 (/ y x)))
(+ 1 (* y (- (* 2 (/ y (pow x 2))) (* 2 (/ 1 x)))))
(+ 1 (* y (- (* y (+ (* -2 (/ y (pow x 3))) (* 2 (/ 1 (pow x 2))))) (* 2 (/ 1 x)))))
-1
(- (/ x y) (+ 1 (* -1 (/ x y))))
(- (+ (* -1 (/ (* x (- x (* -1 x))) (pow y 2))) (/ x y)) (+ 1 (* -1 (/ x y))))
(- (+ (/ x y) (/ (* (pow x 2) (- x (* -1 x))) (pow y 3))) (+ 1 (+ (* -1 (/ x y)) (/ (* x (- x (* -1 x))) (pow y 2)))))
-1
(- (* -1 (/ (- (* -1 x) x) y)) 1)
(- (* -1 (/ (- (+ (* -1 x) (* -1 (/ (* x (- (* -1 x) x)) y))) x) y)) 1)
(- (* -1 (/ (- (+ (* -1 x) (* -1 (/ (- (* -1 (/ (* (pow x 2) (- (* -1 x) x)) y)) (* -1 (* x (- (* -1 x) x)))) y))) x) y)) 1)
-1
(- (* 2 (/ x y)) 1)
(- (* x (+ (* -2 (/ x (pow y 2))) (* 2 (/ 1 y)))) 1)
(- (* x (+ (* x (- (* 2 (/ x (pow y 3))) (* 2 (/ 1 (pow y 2))))) (* 2 (/ 1 y)))) 1)
1
(- (+ 1 (* -1 (/ y x))) (/ y x))
(- (+ 1 (+ (* -1 (/ y x)) (* -1 (/ (* y (- (* -1 y) y)) (pow x 2))))) (/ y x))
(- (+ 1 (+ (* -1 (/ y x)) (/ (* (pow y 2) (- (* -1 y) y)) (pow x 3)))) (+ (/ y x) (/ (* y (- (* -1 y) y)) (pow x 2))))
1
(- (+ 1 (* -1 (/ y x))) (/ y x))
(+ 1 (* -1 (/ (+ (* -1 (- (* -1 y) y)) (/ (* y (- (* -1 y) y)) x)) x)))
(+ 1 (* -1 (/ (+ (* -1 (- (* -1 y) y)) (* -1 (/ (+ (* -1 (* y (- (* -1 y) y))) (/ (* (pow y 2) (- (* -1 y) y)) x)) x))) x)))
1
(+ 1 (* -2 (/ y x)))
(+ 1 (* y (- (* 2 (/ y (pow x 2))) (* 2 (/ 1 x)))))
(+ 1 (* y (- (* y (+ (* -2 (/ y (pow x 3))) (* 2 (/ 1 (pow x 2))))) (* 2 (/ 1 x)))))
-1
(- (/ x y) (+ 1 (* -1 (/ x y))))
(- (+ (* -1 (/ (* x (- x (* -1 x))) (pow y 2))) (/ x y)) (+ 1 (* -1 (/ x y))))
(- (+ (/ x y) (/ (* (pow x 2) (- x (* -1 x))) (pow y 3))) (+ 1 (+ (* -1 (/ x y)) (/ (* x (- x (* -1 x))) (pow y 2)))))
-1
(- (* -1 (/ (- (* -1 x) x) y)) 1)
(- (* -1 (/ (- (+ (* -1 x) (* -1 (/ (* x (- (* -1 x) x)) y))) x) y)) 1)
(- (* -1 (/ (- (+ (* -1 x) (* -1 (/ (- (* -1 (/ (* (pow x 2) (- (* -1 x) x)) y)) (* -1 (* x (- (* -1 x) x)))) y))) x) y)) 1)
(* -1 y)
(- x y)
(- x y)
(- x y)
x
(* x (+ 1 (* -1 (/ y x))))
(* x (+ 1 (* -1 (/ y x))))
(* x (+ 1 (* -1 (/ y x))))
x
(* -1 (* x (- (/ y x) 1)))
(* -1 (* x (- (/ y x) 1)))
(* -1 (* x (- (/ y x) 1)))
x
(+ x (* -1 y))
(+ x (* -1 y))
(+ x (* -1 y))
(* -1 y)
(* y (- (/ x y) 1))
(* y (- (/ x y) 1))
(* y (- (/ x y) 1))
(* -1 y)
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
-1
(- (* 2 (/ x y)) 1)
(- (* x (+ (* -2 (/ x (pow y 2))) (* 2 (/ 1 y)))) 1)
(- (* x (+ (* x (- (* 2 (/ x (pow y 3))) (* 2 (/ 1 (pow y 2))))) (* 2 (/ 1 y)))) 1)
1
(- (+ 1 (* -1 (/ y x))) (/ y x))
(- (+ 1 (+ (* -1 (/ y x)) (* -1 (/ (* y (- (* -1 y) y)) (pow x 2))))) (/ y x))
(- (+ 1 (+ (* -1 (/ y x)) (/ (* (pow y 2) (- (* -1 y) y)) (pow x 3)))) (+ (/ y x) (/ (* y (- (* -1 y) y)) (pow x 2))))
1
(- (+ 1 (* -1 (/ y x))) (/ y x))
(+ 1 (* -1 (/ (+ (* -1 (- (* -1 y) y)) (/ (* y (- (* -1 y) y)) x)) x)))
(+ 1 (* -1 (/ (+ (* -1 (- (* -1 y) y)) (* -1 (/ (+ (* -1 (* y (- (* -1 y) y))) (/ (* (pow y 2) (- (* -1 y) y)) x)) x))) x)))
1
(+ 1 (* -2 (/ y x)))
(+ 1 (* y (- (* 2 (/ y (pow x 2))) (* 2 (/ 1 x)))))
(+ 1 (* y (- (* y (+ (* -2 (/ y (pow x 3))) (* 2 (/ 1 (pow x 2))))) (* 2 (/ 1 x)))))
-1
(- (/ x y) (+ 1 (* -1 (/ x y))))
(- (+ (* -1 (/ (* x (- x (* -1 x))) (pow y 2))) (/ x y)) (+ 1 (* -1 (/ x y))))
(- (+ (/ x y) (/ (* (pow x 2) (- x (* -1 x))) (pow y 3))) (+ 1 (+ (* -1 (/ x y)) (/ (* x (- x (* -1 x))) (pow y 2)))))
-1
(- (* -1 (/ (- (* -1 x) x) y)) 1)
(- (* -1 (/ (- (+ (* -1 x) (* -1 (/ (* x (- (* -1 x) x)) y))) x) y)) 1)
(- (* -1 (/ (- (+ (* -1 x) (* -1 (/ (- (* -1 (/ (* (pow x 2) (- (* -1 x) x)) y)) (* -1 (* x (- (* -1 x) x)))) y))) x) y)) 1)
-1
(- (* 2 (/ x y)) 1)
(- (* 2 (/ x y)) 1)
(- (* 2 (/ x y)) 1)
(* 2 (/ x y))
(* x (- (* 2 (/ 1 y)) (/ 1 x)))
(* x (- (* 2 (/ 1 y)) (/ 1 x)))
(* x (- (* 2 (/ 1 y)) (/ 1 x)))
(* 2 (/ x y))
(* -1 (* x (- (/ 1 x) (* 2 (/ 1 y)))))
(* -1 (* x (- (/ 1 x) (* 2 (/ 1 y)))))
(* -1 (* x (- (/ 1 x) (* 2 (/ 1 y)))))
(* 2 (/ x y))
(/ (+ (* -1 y) (* 2 x)) y)
(/ (+ (* -1 y) (* 2 x)) y)
(/ (+ (* -1 y) (* 2 x)) y)
-1
(- (* 2 (/ x y)) 1)
(- (* 2 (/ x y)) 1)
(- (* 2 (/ x y)) 1)
-1
(- (* 2 (/ x y)) 1)
(- (* 2 (/ x y)) 1)
(- (* 2 (/ x y)) 1)
(* 2 (/ x y))
(* 2 (/ x y))
(* 2 (/ x y))
(* 2 (/ x y))
(* 2 (/ x y))
(* 2 (/ x y))
(* 2 (/ x y))
(* 2 (/ x y))
(* 2 (/ x y))
(* 2 (/ x y))
(* 2 (/ x y))
(* 2 (/ x y))
(* 2 (/ x y))
(* 2 (/ x y))
(* 2 (/ x y))
(* 2 (/ x y))
(* 2 (/ x y))
(* 2 (/ x y))
(* 2 (/ x y))
(* 2 (/ x y))
(* 2 (/ x y))
(* 2 (/ x y))
(* 2 (/ x y))
(* 2 (/ x y))
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
Outputs
-1
#s(literal -1 binary64)
(- (* 2 (/ x y)) 1)
(+.f64 #s(literal -1 binary64) (/.f64 (+.f64 x x) y))
(- (* x (+ (* -2 (/ x (pow y 2))) (* 2 (/ 1 y)))) 1)
(-.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (+.f64 (/.f64 (+.f64 x x) y) #s(literal -2 binary64))) y))
(- (* x (+ (* x (- (* 2 (/ x (pow y 3))) (* 2 (/ 1 (pow y 2))))) (* 2 (/ 1 y)))) 1)
(fma.f64 x (*.f64 #s(literal 2 binary64) (/.f64 (fma.f64 x (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 x y)) y) #s(literal 1 binary64)) y)) #s(literal -1 binary64))
1
#s(literal 1 binary64)
(- (+ 1 (* -1 (/ y x))) (/ y x))
(fma.f64 y (/.f64 #s(literal -2 binary64) x) #s(literal 1 binary64))
(- (+ 1 (+ (* -1 (/ y x)) (* -1 (/ (* y (- (* -1 y) y)) (pow x 2))))) (/ y x))
(fma.f64 (+.f64 y y) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 y x)) x) #s(literal 1 binary64))
(- (+ 1 (+ (* -1 (/ y x)) (/ (* (pow y 2) (- (* -1 y) y)) (pow x 3)))) (+ (/ y x) (/ (* y (- (* -1 y) y)) (pow x 2))))
(fma.f64 y (fma.f64 y (fma.f64 #s(literal -2 binary64) (/.f64 y (*.f64 x (*.f64 x x))) (/.f64 #s(literal 2 binary64) (*.f64 x x))) (/.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64))
1
#s(literal 1 binary64)
(- (+ 1 (* -1 (/ y x))) (/ y x))
(fma.f64 y (/.f64 #s(literal -2 binary64) x) #s(literal 1 binary64))
(+ 1 (* -1 (/ (+ (* -1 (- (* -1 y) y)) (/ (* y (- (* -1 y) y)) x)) x)))
(fma.f64 (+.f64 y y) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 y x)) x) #s(literal 1 binary64))
(+ 1 (* -1 (/ (+ (* -1 (- (* -1 y) y)) (* -1 (/ (+ (* -1 (* y (- (* -1 y) y))) (/ (* (pow y 2) (- (* -1 y) y)) x)) x))) x)))
(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (*.f64 y (*.f64 y (fma.f64 #s(literal -2 binary64) (/.f64 y x) #s(literal 2 binary64)))) x) (+.f64 y y)) x))
1
#s(literal 1 binary64)
(+ 1 (* -2 (/ y x)))
(fma.f64 y (/.f64 #s(literal -2 binary64) x) #s(literal 1 binary64))
(+ 1 (* y (- (* 2 (/ y (pow x 2))) (* 2 (/ 1 x)))))
(fma.f64 (+.f64 y y) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 y x)) x) #s(literal 1 binary64))
(+ 1 (* y (- (* y (+ (* -2 (/ y (pow x 3))) (* 2 (/ 1 (pow x 2))))) (* 2 (/ 1 x)))))
(fma.f64 y (fma.f64 y (fma.f64 #s(literal -2 binary64) (/.f64 y (*.f64 x (*.f64 x x))) (/.f64 #s(literal 2 binary64) (*.f64 x x))) (/.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64))
-1
#s(literal -1 binary64)
(- (/ x y) (+ 1 (* -1 (/ x y))))
(+.f64 #s(literal -1 binary64) (/.f64 (+.f64 x x) y))
(- (+ (* -1 (/ (* x (- x (* -1 x))) (pow y 2))) (/ x y)) (+ 1 (* -1 (/ x y))))
(-.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (+.f64 (/.f64 (+.f64 x x) y) #s(literal -2 binary64))) y))
(- (+ (/ x y) (/ (* (pow x 2) (- x (* -1 x))) (pow y 3))) (+ 1 (+ (* -1 (/ x y)) (/ (* x (- x (* -1 x))) (pow y 2)))))
(-.f64 (fma.f64 x (*.f64 x (/.f64 (+.f64 x x) (*.f64 y (*.f64 y y)))) #s(literal -1 binary64)) (/.f64 (*.f64 x (+.f64 (/.f64 (+.f64 x x) y) #s(literal -2 binary64))) y))
-1
#s(literal -1 binary64)
(- (* -1 (/ (- (* -1 x) x) y)) 1)
(+.f64 #s(literal -1 binary64) (/.f64 (+.f64 x x) y))
(- (* -1 (/ (- (+ (* -1 x) (* -1 (/ (* x (- (* -1 x) x)) y))) x) y)) 1)
(-.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (+.f64 (/.f64 (+.f64 x x) y) #s(literal -2 binary64))) y))
(- (* -1 (/ (- (+ (* -1 x) (* -1 (/ (- (* -1 (/ (* (pow x 2) (- (* -1 x) x)) y)) (* -1 (* x (- (* -1 x) x)))) y))) x) y)) 1)
(+.f64 #s(literal -1 binary64) (/.f64 (+.f64 x (-.f64 x (/.f64 (*.f64 x (fma.f64 x (fma.f64 x (/.f64 #s(literal -2 binary64) y) #s(literal 1 binary64)) x)) y))) y))
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(+ (* -1 (/ x (pow y 2))) (/ 1 y))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) y)
(+ (* x (- (/ x (pow y 3)) (/ 1 (pow y 2)))) (/ 1 y))
(/.f64 (fma.f64 x (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 x y)) y) #s(literal 1 binary64)) y)
(+ (* x (- (* x (+ (* -1 (/ x (pow y 4))) (/ 1 (pow y 3)))) (/ 1 (pow y 2)))) (/ 1 y))
(fma.f64 x (-.f64 (/.f64 x (*.f64 y (*.f64 y y))) (*.f64 x (/.f64 x (pow.f64 y #s(literal 4 binary64))))) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) y))
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ (+ 1 (* -1 (/ y x))) x)
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x)
(/ (- (+ 1 (/ (pow y 2) (pow x 2))) (/ y x)) x)
(/.f64 (fma.f64 y (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 y x)) x) #s(literal 1 binary64)) x)
(/ (- (+ 1 (* -1 (/ (pow y 3) (pow x 3)))) (+ (* -1 (/ (pow y 2) (pow x 2))) (/ y x))) x)
(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 y (/.f64 (*.f64 y (-.f64 (/.f64 (*.f64 y y) x) y)) x)) x)) (neg.f64 x))
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(* -1 (/ (- (/ y x) 1) x))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x)
(* -1 (/ (- (* -1 (/ (- (/ (pow y 2) x) y) x)) 1) x))
(/.f64 (fma.f64 y (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 y x)) x) #s(literal 1 binary64)) x)
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (pow y 3) x) (pow y 2)) x)) y) x)) 1) x))
(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 y (/.f64 (*.f64 y (-.f64 (/.f64 (*.f64 y y) x) y)) x)) x)) (neg.f64 x))
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(+ (* -1 (/ y (pow x 2))) (/ 1 x))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x)
(+ (* y (- (/ y (pow x 3)) (/ 1 (pow x 2)))) (/ 1 x))
(/.f64 (fma.f64 y (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 y x)) x) #s(literal 1 binary64)) x)
(+ (* y (- (* y (+ (* -1 (/ y (pow x 4))) (/ 1 (pow x 3)))) (/ 1 (pow x 2)))) (/ 1 x))
(fma.f64 y (-.f64 (/.f64 y (*.f64 x (*.f64 x x))) (/.f64 (*.f64 y y) (pow.f64 x #s(literal 4 binary64)))) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x))
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ (+ 1 (* -1 (/ x y))) y)
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) y)
(/ (- (+ 1 (/ (pow x 2) (pow y 2))) (/ x y)) y)
(/.f64 (fma.f64 x (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 x y)) y) #s(literal 1 binary64)) y)
(/ (- (+ 1 (* -1 (/ (pow x 3) (pow y 3)))) (+ (* -1 (/ (pow x 2) (pow y 2))) (/ x y))) y)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (neg.f64 x) (/.f64 (*.f64 x (-.f64 (/.f64 (*.f64 x x) y) x)) y)) y)) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(* -1 (/ (- (/ x y) 1) y))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) y)
(* -1 (/ (- (* -1 (/ (- (/ (pow x 2) y) x) y)) 1) y))
(/.f64 (fma.f64 x (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 x y)) y) #s(literal 1 binary64)) y)
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (pow x 3) y) (pow x 2)) y)) x) y)) 1) y))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (neg.f64 x) (/.f64 (*.f64 x (-.f64 (/.f64 (*.f64 x x) y) x)) y)) y)) y)
y
(+ x y)
(+.f64 x y)
(+ x y)
(+.f64 x y)
(+ x y)
(+.f64 x y)
x
(* x (+ 1 (/ y x)))
(+.f64 x y)
(* x (+ 1 (/ y x)))
(+.f64 x y)
(* x (+ 1 (/ y x)))
(+.f64 x y)
x
(* -1 (* x (- (* -1 (/ y x)) 1)))
(+.f64 x y)
(* -1 (* x (- (* -1 (/ y x)) 1)))
(+.f64 x y)
(* -1 (* x (- (* -1 (/ y x)) 1)))
(+.f64 x y)
x
(+ x y)
(+.f64 x y)
(+ x y)
(+.f64 x y)
(+ x y)
(+.f64 x y)
y
(* y (+ 1 (/ x y)))
(fma.f64 x (/.f64 y y) y)
(* y (+ 1 (/ x y)))
(fma.f64 x (/.f64 y y) y)
(* y (+ 1 (/ x y)))
(fma.f64 x (/.f64 y y) y)
y
(* -1 (* y (- (* -1 (/ x y)) 1)))
(fma.f64 x (/.f64 y y) y)
(* -1 (* y (- (* -1 (/ x y)) 1)))
(fma.f64 x (/.f64 y y) y)
(* -1 (* y (- (* -1 (/ x y)) 1)))
(fma.f64 x (/.f64 y y) y)
(* -1 y)
(neg.f64 y)
(- x y)
(-.f64 x y)
(- x y)
(-.f64 x y)
(- x y)
(-.f64 x y)
x
(* x (+ 1 (* -1 (/ y x))))
(-.f64 x y)
(* x (+ 1 (* -1 (/ y x))))
(-.f64 x y)
(* x (+ 1 (* -1 (/ y x))))
(-.f64 x y)
x
(* -1 (* x (- (/ y x) 1)))
(-.f64 x y)
(* -1 (* x (- (/ y x) 1)))
(-.f64 x y)
(* -1 (* x (- (/ y x) 1)))
(-.f64 x y)
x
(+ x (* -1 y))
(-.f64 x y)
(+ x (* -1 y))
(-.f64 x y)
(+ x (* -1 y))
(-.f64 x y)
(* -1 y)
(neg.f64 y)
(* y (- (/ x y) 1))
(fma.f64 y (/.f64 x y) (neg.f64 y))
(* y (- (/ x y) 1))
(fma.f64 y (/.f64 x y) (neg.f64 y))
(* y (- (/ x y) 1))
(fma.f64 y (/.f64 x y) (neg.f64 y))
(* -1 y)
(neg.f64 y)
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(fma.f64 y (/.f64 x y) (neg.f64 y))
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(fma.f64 y (/.f64 x y) (neg.f64 y))
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(fma.f64 y (/.f64 x y) (neg.f64 y))
-1
#s(literal -1 binary64)
(- (* 2 (/ x y)) 1)
(+.f64 #s(literal -1 binary64) (/.f64 (+.f64 x x) y))
(- (* x (+ (* -2 (/ x (pow y 2))) (* 2 (/ 1 y)))) 1)
(-.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (+.f64 (/.f64 (+.f64 x x) y) #s(literal -2 binary64))) y))
(- (* x (+ (* x (- (* 2 (/ x (pow y 3))) (* 2 (/ 1 (pow y 2))))) (* 2 (/ 1 y)))) 1)
(fma.f64 x (*.f64 #s(literal 2 binary64) (/.f64 (fma.f64 x (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 x y)) y) #s(literal 1 binary64)) y)) #s(literal -1 binary64))
1
#s(literal 1 binary64)
(- (+ 1 (* -1 (/ y x))) (/ y x))
(fma.f64 y (/.f64 #s(literal -2 binary64) x) #s(literal 1 binary64))
(- (+ 1 (+ (* -1 (/ y x)) (* -1 (/ (* y (- (* -1 y) y)) (pow x 2))))) (/ y x))
(fma.f64 (+.f64 y y) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 y x)) x) #s(literal 1 binary64))
(- (+ 1 (+ (* -1 (/ y x)) (/ (* (pow y 2) (- (* -1 y) y)) (pow x 3)))) (+ (/ y x) (/ (* y (- (* -1 y) y)) (pow x 2))))
(fma.f64 y (fma.f64 y (fma.f64 #s(literal -2 binary64) (/.f64 y (*.f64 x (*.f64 x x))) (/.f64 #s(literal 2 binary64) (*.f64 x x))) (/.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64))
1
#s(literal 1 binary64)
(- (+ 1 (* -1 (/ y x))) (/ y x))
(fma.f64 y (/.f64 #s(literal -2 binary64) x) #s(literal 1 binary64))
(+ 1 (* -1 (/ (+ (* -1 (- (* -1 y) y)) (/ (* y (- (* -1 y) y)) x)) x)))
(fma.f64 (+.f64 y y) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 y x)) x) #s(literal 1 binary64))
(+ 1 (* -1 (/ (+ (* -1 (- (* -1 y) y)) (* -1 (/ (+ (* -1 (* y (- (* -1 y) y))) (/ (* (pow y 2) (- (* -1 y) y)) x)) x))) x)))
(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (*.f64 y (*.f64 y (fma.f64 #s(literal -2 binary64) (/.f64 y x) #s(literal 2 binary64)))) x) (+.f64 y y)) x))
1
#s(literal 1 binary64)
(+ 1 (* -2 (/ y x)))
(fma.f64 y (/.f64 #s(literal -2 binary64) x) #s(literal 1 binary64))
(+ 1 (* y (- (* 2 (/ y (pow x 2))) (* 2 (/ 1 x)))))
(fma.f64 (+.f64 y y) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 y x)) x) #s(literal 1 binary64))
(+ 1 (* y (- (* y (+ (* -2 (/ y (pow x 3))) (* 2 (/ 1 (pow x 2))))) (* 2 (/ 1 x)))))
(fma.f64 y (fma.f64 y (fma.f64 #s(literal -2 binary64) (/.f64 y (*.f64 x (*.f64 x x))) (/.f64 #s(literal 2 binary64) (*.f64 x x))) (/.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64))
-1
#s(literal -1 binary64)
(- (/ x y) (+ 1 (* -1 (/ x y))))
(+.f64 #s(literal -1 binary64) (/.f64 (+.f64 x x) y))
(- (+ (* -1 (/ (* x (- x (* -1 x))) (pow y 2))) (/ x y)) (+ 1 (* -1 (/ x y))))
(-.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (+.f64 (/.f64 (+.f64 x x) y) #s(literal -2 binary64))) y))
(- (+ (/ x y) (/ (* (pow x 2) (- x (* -1 x))) (pow y 3))) (+ 1 (+ (* -1 (/ x y)) (/ (* x (- x (* -1 x))) (pow y 2)))))
(-.f64 (fma.f64 x (*.f64 x (/.f64 (+.f64 x x) (*.f64 y (*.f64 y y)))) #s(literal -1 binary64)) (/.f64 (*.f64 x (+.f64 (/.f64 (+.f64 x x) y) #s(literal -2 binary64))) y))
-1
#s(literal -1 binary64)
(- (* -1 (/ (- (* -1 x) x) y)) 1)
(+.f64 #s(literal -1 binary64) (/.f64 (+.f64 x x) y))
(- (* -1 (/ (- (+ (* -1 x) (* -1 (/ (* x (- (* -1 x) x)) y))) x) y)) 1)
(-.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (+.f64 (/.f64 (+.f64 x x) y) #s(literal -2 binary64))) y))
(- (* -1 (/ (- (+ (* -1 x) (* -1 (/ (- (* -1 (/ (* (pow x 2) (- (* -1 x) x)) y)) (* -1 (* x (- (* -1 x) x)))) y))) x) y)) 1)
(+.f64 #s(literal -1 binary64) (/.f64 (+.f64 x (-.f64 x (/.f64 (*.f64 x (fma.f64 x (fma.f64 x (/.f64 #s(literal -2 binary64) y) #s(literal 1 binary64)) x)) y))) y))
-1
#s(literal -1 binary64)
(- (* 2 (/ x y)) 1)
(+.f64 #s(literal -1 binary64) (/.f64 (+.f64 x x) y))
(- (* x (+ (* -2 (/ x (pow y 2))) (* 2 (/ 1 y)))) 1)
(-.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (+.f64 (/.f64 (+.f64 x x) y) #s(literal -2 binary64))) y))
(- (* x (+ (* x (- (* 2 (/ x (pow y 3))) (* 2 (/ 1 (pow y 2))))) (* 2 (/ 1 y)))) 1)
(fma.f64 x (*.f64 #s(literal 2 binary64) (/.f64 (fma.f64 x (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 x y)) y) #s(literal 1 binary64)) y)) #s(literal -1 binary64))
1
#s(literal 1 binary64)
(- (+ 1 (* -1 (/ y x))) (/ y x))
(fma.f64 y (/.f64 #s(literal -2 binary64) x) #s(literal 1 binary64))
(- (+ 1 (+ (* -1 (/ y x)) (* -1 (/ (* y (- (* -1 y) y)) (pow x 2))))) (/ y x))
(fma.f64 (+.f64 y y) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 y x)) x) #s(literal 1 binary64))
(- (+ 1 (+ (* -1 (/ y x)) (/ (* (pow y 2) (- (* -1 y) y)) (pow x 3)))) (+ (/ y x) (/ (* y (- (* -1 y) y)) (pow x 2))))
(fma.f64 y (fma.f64 y (fma.f64 #s(literal -2 binary64) (/.f64 y (*.f64 x (*.f64 x x))) (/.f64 #s(literal 2 binary64) (*.f64 x x))) (/.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64))
1
#s(literal 1 binary64)
(- (+ 1 (* -1 (/ y x))) (/ y x))
(fma.f64 y (/.f64 #s(literal -2 binary64) x) #s(literal 1 binary64))
(+ 1 (* -1 (/ (+ (* -1 (- (* -1 y) y)) (/ (* y (- (* -1 y) y)) x)) x)))
(fma.f64 (+.f64 y y) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 y x)) x) #s(literal 1 binary64))
(+ 1 (* -1 (/ (+ (* -1 (- (* -1 y) y)) (* -1 (/ (+ (* -1 (* y (- (* -1 y) y))) (/ (* (pow y 2) (- (* -1 y) y)) x)) x))) x)))
(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (*.f64 y (*.f64 y (fma.f64 #s(literal -2 binary64) (/.f64 y x) #s(literal 2 binary64)))) x) (+.f64 y y)) x))
1
#s(literal 1 binary64)
(+ 1 (* -2 (/ y x)))
(fma.f64 y (/.f64 #s(literal -2 binary64) x) #s(literal 1 binary64))
(+ 1 (* y (- (* 2 (/ y (pow x 2))) (* 2 (/ 1 x)))))
(fma.f64 (+.f64 y y) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 y x)) x) #s(literal 1 binary64))
(+ 1 (* y (- (* y (+ (* -2 (/ y (pow x 3))) (* 2 (/ 1 (pow x 2))))) (* 2 (/ 1 x)))))
(fma.f64 y (fma.f64 y (fma.f64 #s(literal -2 binary64) (/.f64 y (*.f64 x (*.f64 x x))) (/.f64 #s(literal 2 binary64) (*.f64 x x))) (/.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64))
-1
#s(literal -1 binary64)
(- (/ x y) (+ 1 (* -1 (/ x y))))
(+.f64 #s(literal -1 binary64) (/.f64 (+.f64 x x) y))
(- (+ (* -1 (/ (* x (- x (* -1 x))) (pow y 2))) (/ x y)) (+ 1 (* -1 (/ x y))))
(-.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (+.f64 (/.f64 (+.f64 x x) y) #s(literal -2 binary64))) y))
(- (+ (/ x y) (/ (* (pow x 2) (- x (* -1 x))) (pow y 3))) (+ 1 (+ (* -1 (/ x y)) (/ (* x (- x (* -1 x))) (pow y 2)))))
(-.f64 (fma.f64 x (*.f64 x (/.f64 (+.f64 x x) (*.f64 y (*.f64 y y)))) #s(literal -1 binary64)) (/.f64 (*.f64 x (+.f64 (/.f64 (+.f64 x x) y) #s(literal -2 binary64))) y))
-1
#s(literal -1 binary64)
(- (* -1 (/ (- (* -1 x) x) y)) 1)
(+.f64 #s(literal -1 binary64) (/.f64 (+.f64 x x) y))
(- (* -1 (/ (- (+ (* -1 x) (* -1 (/ (* x (- (* -1 x) x)) y))) x) y)) 1)
(-.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (+.f64 (/.f64 (+.f64 x x) y) #s(literal -2 binary64))) y))
(- (* -1 (/ (- (+ (* -1 x) (* -1 (/ (- (* -1 (/ (* (pow x 2) (- (* -1 x) x)) y)) (* -1 (* x (- (* -1 x) x)))) y))) x) y)) 1)
(+.f64 #s(literal -1 binary64) (/.f64 (+.f64 x (-.f64 x (/.f64 (*.f64 x (fma.f64 x (fma.f64 x (/.f64 #s(literal -2 binary64) y) #s(literal 1 binary64)) x)) y))) y))
-1
#s(literal -1 binary64)
(- (* 2 (/ x y)) 1)
(+.f64 #s(literal -1 binary64) (/.f64 (+.f64 x x) y))
(- (* x (+ (* -2 (/ x (pow y 2))) (* 2 (/ 1 y)))) 1)
(-.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (+.f64 (/.f64 (+.f64 x x) y) #s(literal -2 binary64))) y))
(- (* x (+ (* x (- (* 2 (/ x (pow y 3))) (* 2 (/ 1 (pow y 2))))) (* 2 (/ 1 y)))) 1)
(fma.f64 x (*.f64 #s(literal 2 binary64) (/.f64 (fma.f64 x (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 x y)) y) #s(literal 1 binary64)) y)) #s(literal -1 binary64))
1
#s(literal 1 binary64)
(- (+ 1 (* -1 (/ y x))) (/ y x))
(fma.f64 y (/.f64 #s(literal -2 binary64) x) #s(literal 1 binary64))
(- (+ 1 (+ (* -1 (/ y x)) (* -1 (/ (* y (- (* -1 y) y)) (pow x 2))))) (/ y x))
(fma.f64 (+.f64 y y) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 y x)) x) #s(literal 1 binary64))
(- (+ 1 (+ (* -1 (/ y x)) (/ (* (pow y 2) (- (* -1 y) y)) (pow x 3)))) (+ (/ y x) (/ (* y (- (* -1 y) y)) (pow x 2))))
(fma.f64 y (fma.f64 y (fma.f64 #s(literal -2 binary64) (/.f64 y (*.f64 x (*.f64 x x))) (/.f64 #s(literal 2 binary64) (*.f64 x x))) (/.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64))
1
#s(literal 1 binary64)
(- (+ 1 (* -1 (/ y x))) (/ y x))
(fma.f64 y (/.f64 #s(literal -2 binary64) x) #s(literal 1 binary64))
(+ 1 (* -1 (/ (+ (* -1 (- (* -1 y) y)) (/ (* y (- (* -1 y) y)) x)) x)))
(fma.f64 (+.f64 y y) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 y x)) x) #s(literal 1 binary64))
(+ 1 (* -1 (/ (+ (* -1 (- (* -1 y) y)) (* -1 (/ (+ (* -1 (* y (- (* -1 y) y))) (/ (* (pow y 2) (- (* -1 y) y)) x)) x))) x)))
(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (*.f64 y (*.f64 y (fma.f64 #s(literal -2 binary64) (/.f64 y x) #s(literal 2 binary64)))) x) (+.f64 y y)) x))
1
#s(literal 1 binary64)
(+ 1 (* -2 (/ y x)))
(fma.f64 y (/.f64 #s(literal -2 binary64) x) #s(literal 1 binary64))
(+ 1 (* y (- (* 2 (/ y (pow x 2))) (* 2 (/ 1 x)))))
(fma.f64 (+.f64 y y) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 y x)) x) #s(literal 1 binary64))
(+ 1 (* y (- (* y (+ (* -2 (/ y (pow x 3))) (* 2 (/ 1 (pow x 2))))) (* 2 (/ 1 x)))))
(fma.f64 y (fma.f64 y (fma.f64 #s(literal -2 binary64) (/.f64 y (*.f64 x (*.f64 x x))) (/.f64 #s(literal 2 binary64) (*.f64 x x))) (/.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64))
-1
#s(literal -1 binary64)
(- (/ x y) (+ 1 (* -1 (/ x y))))
(+.f64 #s(literal -1 binary64) (/.f64 (+.f64 x x) y))
(- (+ (* -1 (/ (* x (- x (* -1 x))) (pow y 2))) (/ x y)) (+ 1 (* -1 (/ x y))))
(-.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (+.f64 (/.f64 (+.f64 x x) y) #s(literal -2 binary64))) y))
(- (+ (/ x y) (/ (* (pow x 2) (- x (* -1 x))) (pow y 3))) (+ 1 (+ (* -1 (/ x y)) (/ (* x (- x (* -1 x))) (pow y 2)))))
(-.f64 (fma.f64 x (*.f64 x (/.f64 (+.f64 x x) (*.f64 y (*.f64 y y)))) #s(literal -1 binary64)) (/.f64 (*.f64 x (+.f64 (/.f64 (+.f64 x x) y) #s(literal -2 binary64))) y))
-1
#s(literal -1 binary64)
(- (* -1 (/ (- (* -1 x) x) y)) 1)
(+.f64 #s(literal -1 binary64) (/.f64 (+.f64 x x) y))
(- (* -1 (/ (- (+ (* -1 x) (* -1 (/ (* x (- (* -1 x) x)) y))) x) y)) 1)
(-.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (+.f64 (/.f64 (+.f64 x x) y) #s(literal -2 binary64))) y))
(- (* -1 (/ (- (+ (* -1 x) (* -1 (/ (- (* -1 (/ (* (pow x 2) (- (* -1 x) x)) y)) (* -1 (* x (- (* -1 x) x)))) y))) x) y)) 1)
(+.f64 #s(literal -1 binary64) (/.f64 (+.f64 x (-.f64 x (/.f64 (*.f64 x (fma.f64 x (fma.f64 x (/.f64 #s(literal -2 binary64) y) #s(literal 1 binary64)) x)) y))) y))
(* -1 y)
(neg.f64 y)
(- x y)
(-.f64 x y)
(- x y)
(-.f64 x y)
(- x y)
(-.f64 x y)
x
(* x (+ 1 (* -1 (/ y x))))
(-.f64 x y)
(* x (+ 1 (* -1 (/ y x))))
(-.f64 x y)
(* x (+ 1 (* -1 (/ y x))))
(-.f64 x y)
x
(* -1 (* x (- (/ y x) 1)))
(-.f64 x y)
(* -1 (* x (- (/ y x) 1)))
(-.f64 x y)
(* -1 (* x (- (/ y x) 1)))
(-.f64 x y)
x
(+ x (* -1 y))
(-.f64 x y)
(+ x (* -1 y))
(-.f64 x y)
(+ x (* -1 y))
(-.f64 x y)
(* -1 y)
(neg.f64 y)
(* y (- (/ x y) 1))
(fma.f64 y (/.f64 x y) (neg.f64 y))
(* y (- (/ x y) 1))
(fma.f64 y (/.f64 x y) (neg.f64 y))
(* y (- (/ x y) 1))
(fma.f64 y (/.f64 x y) (neg.f64 y))
(* -1 y)
(neg.f64 y)
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(fma.f64 y (/.f64 x y) (neg.f64 y))
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(fma.f64 y (/.f64 x y) (neg.f64 y))
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(fma.f64 y (/.f64 x y) (neg.f64 y))
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
-1
#s(literal -1 binary64)
(- (* 2 (/ x y)) 1)
(+.f64 #s(literal -1 binary64) (/.f64 (+.f64 x x) y))
(- (* x (+ (* -2 (/ x (pow y 2))) (* 2 (/ 1 y)))) 1)
(-.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (+.f64 (/.f64 (+.f64 x x) y) #s(literal -2 binary64))) y))
(- (* x (+ (* x (- (* 2 (/ x (pow y 3))) (* 2 (/ 1 (pow y 2))))) (* 2 (/ 1 y)))) 1)
(fma.f64 x (*.f64 #s(literal 2 binary64) (/.f64 (fma.f64 x (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 x y)) y) #s(literal 1 binary64)) y)) #s(literal -1 binary64))
1
#s(literal 1 binary64)
(- (+ 1 (* -1 (/ y x))) (/ y x))
(fma.f64 y (/.f64 #s(literal -2 binary64) x) #s(literal 1 binary64))
(- (+ 1 (+ (* -1 (/ y x)) (* -1 (/ (* y (- (* -1 y) y)) (pow x 2))))) (/ y x))
(fma.f64 (+.f64 y y) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 y x)) x) #s(literal 1 binary64))
(- (+ 1 (+ (* -1 (/ y x)) (/ (* (pow y 2) (- (* -1 y) y)) (pow x 3)))) (+ (/ y x) (/ (* y (- (* -1 y) y)) (pow x 2))))
(fma.f64 y (fma.f64 y (fma.f64 #s(literal -2 binary64) (/.f64 y (*.f64 x (*.f64 x x))) (/.f64 #s(literal 2 binary64) (*.f64 x x))) (/.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64))
1
#s(literal 1 binary64)
(- (+ 1 (* -1 (/ y x))) (/ y x))
(fma.f64 y (/.f64 #s(literal -2 binary64) x) #s(literal 1 binary64))
(+ 1 (* -1 (/ (+ (* -1 (- (* -1 y) y)) (/ (* y (- (* -1 y) y)) x)) x)))
(fma.f64 (+.f64 y y) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 y x)) x) #s(literal 1 binary64))
(+ 1 (* -1 (/ (+ (* -1 (- (* -1 y) y)) (* -1 (/ (+ (* -1 (* y (- (* -1 y) y))) (/ (* (pow y 2) (- (* -1 y) y)) x)) x))) x)))
(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (*.f64 y (*.f64 y (fma.f64 #s(literal -2 binary64) (/.f64 y x) #s(literal 2 binary64)))) x) (+.f64 y y)) x))
1
#s(literal 1 binary64)
(+ 1 (* -2 (/ y x)))
(fma.f64 y (/.f64 #s(literal -2 binary64) x) #s(literal 1 binary64))
(+ 1 (* y (- (* 2 (/ y (pow x 2))) (* 2 (/ 1 x)))))
(fma.f64 (+.f64 y y) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 y x)) x) #s(literal 1 binary64))
(+ 1 (* y (- (* y (+ (* -2 (/ y (pow x 3))) (* 2 (/ 1 (pow x 2))))) (* 2 (/ 1 x)))))
(fma.f64 y (fma.f64 y (fma.f64 #s(literal -2 binary64) (/.f64 y (*.f64 x (*.f64 x x))) (/.f64 #s(literal 2 binary64) (*.f64 x x))) (/.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64))
-1
#s(literal -1 binary64)
(- (/ x y) (+ 1 (* -1 (/ x y))))
(+.f64 #s(literal -1 binary64) (/.f64 (+.f64 x x) y))
(- (+ (* -1 (/ (* x (- x (* -1 x))) (pow y 2))) (/ x y)) (+ 1 (* -1 (/ x y))))
(-.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (+.f64 (/.f64 (+.f64 x x) y) #s(literal -2 binary64))) y))
(- (+ (/ x y) (/ (* (pow x 2) (- x (* -1 x))) (pow y 3))) (+ 1 (+ (* -1 (/ x y)) (/ (* x (- x (* -1 x))) (pow y 2)))))
(-.f64 (fma.f64 x (*.f64 x (/.f64 (+.f64 x x) (*.f64 y (*.f64 y y)))) #s(literal -1 binary64)) (/.f64 (*.f64 x (+.f64 (/.f64 (+.f64 x x) y) #s(literal -2 binary64))) y))
-1
#s(literal -1 binary64)
(- (* -1 (/ (- (* -1 x) x) y)) 1)
(+.f64 #s(literal -1 binary64) (/.f64 (+.f64 x x) y))
(- (* -1 (/ (- (+ (* -1 x) (* -1 (/ (* x (- (* -1 x) x)) y))) x) y)) 1)
(-.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (+.f64 (/.f64 (+.f64 x x) y) #s(literal -2 binary64))) y))
(- (* -1 (/ (- (+ (* -1 x) (* -1 (/ (- (* -1 (/ (* (pow x 2) (- (* -1 x) x)) y)) (* -1 (* x (- (* -1 x) x)))) y))) x) y)) 1)
(+.f64 #s(literal -1 binary64) (/.f64 (+.f64 x (-.f64 x (/.f64 (*.f64 x (fma.f64 x (fma.f64 x (/.f64 #s(literal -2 binary64) y) #s(literal 1 binary64)) x)) y))) y))
-1
#s(literal -1 binary64)
(- (* 2 (/ x y)) 1)
(+.f64 #s(literal -1 binary64) (/.f64 (+.f64 x x) y))
(- (* 2 (/ x y)) 1)
(+.f64 #s(literal -1 binary64) (/.f64 (+.f64 x x) y))
(- (* 2 (/ x y)) 1)
(+.f64 #s(literal -1 binary64) (/.f64 (+.f64 x x) y))
(* 2 (/ x y))
(/.f64 (+.f64 x x) y)
(* x (- (* 2 (/ 1 y)) (/ 1 x)))
(+.f64 #s(literal -1 binary64) (/.f64 (+.f64 x x) y))
(* x (- (* 2 (/ 1 y)) (/ 1 x)))
(+.f64 #s(literal -1 binary64) (/.f64 (+.f64 x x) y))
(* x (- (* 2 (/ 1 y)) (/ 1 x)))
(+.f64 #s(literal -1 binary64) (/.f64 (+.f64 x x) y))
(* 2 (/ x y))
(/.f64 (+.f64 x x) y)
(* -1 (* x (- (/ 1 x) (* 2 (/ 1 y)))))
(+.f64 #s(literal -1 binary64) (/.f64 (+.f64 x x) y))
(* -1 (* x (- (/ 1 x) (* 2 (/ 1 y)))))
(+.f64 #s(literal -1 binary64) (/.f64 (+.f64 x x) y))
(* -1 (* x (- (/ 1 x) (* 2 (/ 1 y)))))
(+.f64 #s(literal -1 binary64) (/.f64 (+.f64 x x) y))
(* 2 (/ x y))
(/.f64 (+.f64 x x) y)
(/ (+ (* -1 y) (* 2 x)) y)
(/.f64 (+.f64 x (-.f64 x y)) y)
(/ (+ (* -1 y) (* 2 x)) y)
(/.f64 (+.f64 x (-.f64 x y)) y)
(/ (+ (* -1 y) (* 2 x)) y)
(/.f64 (+.f64 x (-.f64 x y)) y)
-1
#s(literal -1 binary64)
(- (* 2 (/ x y)) 1)
(+.f64 #s(literal -1 binary64) (/.f64 (+.f64 x x) y))
(- (* 2 (/ x y)) 1)
(+.f64 #s(literal -1 binary64) (/.f64 (+.f64 x x) y))
(- (* 2 (/ x y)) 1)
(+.f64 #s(literal -1 binary64) (/.f64 (+.f64 x x) y))
-1
#s(literal -1 binary64)
(- (* 2 (/ x y)) 1)
(+.f64 #s(literal -1 binary64) (/.f64 (+.f64 x x) y))
(- (* 2 (/ x y)) 1)
(+.f64 #s(literal -1 binary64) (/.f64 (+.f64 x x) y))
(- (* 2 (/ x y)) 1)
(+.f64 #s(literal -1 binary64) (/.f64 (+.f64 x x) y))
(* 2 (/ x y))
(/.f64 (+.f64 x x) y)
(* 2 (/ x y))
(/.f64 (+.f64 x x) y)
(* 2 (/ x y))
(/.f64 (+.f64 x x) y)
(* 2 (/ x y))
(/.f64 (+.f64 x x) y)
(* 2 (/ x y))
(/.f64 (+.f64 x x) y)
(* 2 (/ x y))
(/.f64 (+.f64 x x) y)
(* 2 (/ x y))
(/.f64 (+.f64 x x) y)
(* 2 (/ x y))
(/.f64 (+.f64 x x) y)
(* 2 (/ x y))
(/.f64 (+.f64 x x) y)
(* 2 (/ x y))
(/.f64 (+.f64 x x) y)
(* 2 (/ x y))
(/.f64 (+.f64 x x) y)
(* 2 (/ x y))
(/.f64 (+.f64 x x) y)
(* 2 (/ x y))
(/.f64 (+.f64 x x) y)
(* 2 (/ x y))
(/.f64 (+.f64 x x) y)
(* 2 (/ x y))
(/.f64 (+.f64 x x) y)
(* 2 (/ x y))
(/.f64 (+.f64 x x) y)
(* 2 (/ x y))
(/.f64 (+.f64 x x) y)
(* 2 (/ x y))
(/.f64 (+.f64 x x) y)
(* 2 (/ x y))
(/.f64 (+.f64 x x) y)
(* 2 (/ x y))
(/.f64 (+.f64 x x) y)
(* 2 (/ x y))
(/.f64 (+.f64 x x) y)
(* 2 (/ x y))
(/.f64 (+.f64 x x) y)
(* 2 (/ x y))
(/.f64 (+.f64 x x) y)
(* 2 (/ x y))
(/.f64 (+.f64 x x) y)
(* 2 x)
(+.f64 x x)
(* 2 x)
(+.f64 x x)
(* 2 x)
(+.f64 x x)
(* 2 x)
(+.f64 x x)
(* 2 x)
(+.f64 x x)
(* 2 x)
(+.f64 x x)
(* 2 x)
(+.f64 x x)
(* 2 x)
(+.f64 x x)
(* 2 x)
(+.f64 x x)
(* 2 x)
(+.f64 x x)
(* 2 x)
(+.f64 x x)
(* 2 x)
(+.f64 x x)

rewrite58.0ms (1%)

Memory
-0.5MiB live, 121.3MiB allocated
Rules
436×lower-/.f32
430×lower-/.f64
360×lower-*.f32
358×lower-*.f64
184×lower-fma.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02086
02984
110184
077282
Stop Event
iter limit
iter limit
node limit
iter limit
Counts
13 → 199
Calls
Call 1
Inputs
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x y)) (-.f64 x y))
(/.f64 #s(literal 1 binary64) (+.f64 x y))
(+.f64 x y)
(-.f64 x y)
#s(approx (/ (- x y) (+ x y)) #s(literal -1 binary64))
#s(approx (/ (- x y) (+ x y)) #s(literal 1 binary64))
(/.f64 #s(approx (- x y) (neg.f64 y)) (+.f64 x y))
#s(approx (- x y) (neg.f64 y))
(neg.f64 y)
#s(approx (/ (- x y) (+ x y)) (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 x x) y)))
(+.f64 #s(literal -1 binary64) (/.f64 (+.f64 x x) y))
(/.f64 (+.f64 x x) y)
(+.f64 x x)
Outputs
(+.f64 (/.f64 x (+.f64 x y)) (neg.f64 (/.f64 y (+.f64 x y))))
(+.f64 (/.f64 x (+.f64 x y)) (*.f64 (neg.f64 y) (/.f64 #s(literal 1 binary64) (+.f64 x y))))
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x y)) x) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x y)) (neg.f64 y)))
(-.f64 (/.f64 x (+.f64 x y)) (/.f64 y (+.f64 x y)))
(fma.f64 x (/.f64 #s(literal 1 binary64) (+.f64 x y)) (neg.f64 (/.f64 y (+.f64 x y))))
(fma.f64 x (/.f64 #s(literal 1 binary64) (+.f64 x y)) (*.f64 (neg.f64 y) (/.f64 #s(literal 1 binary64) (+.f64 x y))))
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 x y)) x (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x y)) (neg.f64 y)))
(fma.f64 (/.f64 x (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y)))) (fma.f64 y (-.f64 y x) (*.f64 x x)) (neg.f64 (/.f64 y (+.f64 x y))))
(fma.f64 (/.f64 x (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y)))) (fma.f64 y (-.f64 y x) (*.f64 x x)) (*.f64 (neg.f64 y) (/.f64 #s(literal 1 binary64) (+.f64 x y))))
(fma.f64 (/.f64 x (*.f64 (+.f64 x y) (-.f64 x y))) (-.f64 x y) (neg.f64 (/.f64 y (+.f64 x y))))
(fma.f64 (/.f64 x (*.f64 (+.f64 x y) (-.f64 x y))) (-.f64 x y) (*.f64 (neg.f64 y) (/.f64 #s(literal 1 binary64) (+.f64 x y))))
(neg.f64 (/.f64 (-.f64 x y) (neg.f64 (+.f64 x y))))
(neg.f64 (/.f64 (neg.f64 (-.f64 x y)) (+.f64 x y)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x y) (-.f64 x y)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 x y) (-.f64 x y)) #s(literal 1 binary64)))
(/.f64 (-.f64 x y) (+.f64 x y))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 x y) (-.f64 x y))))
(/.f64 (neg.f64 (-.f64 x y)) (neg.f64 (+.f64 x y)))
(/.f64 (*.f64 (fma.f64 x x (*.f64 y (+.f64 x y))) (-.f64 x y)) (*.f64 (+.f64 x y) (fma.f64 x x (*.f64 y (+.f64 x y)))))
(/.f64 (*.f64 (+.f64 x y) (-.f64 x y)) (*.f64 (+.f64 x y) (+.f64 x y)))
(/.f64 (-.f64 (*.f64 x (+.f64 x y)) (*.f64 (+.f64 x y) y)) (*.f64 (+.f64 x y) (+.f64 x y)))
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x x (*.f64 y (+.f64 x y))) (-.f64 x y))) (*.f64 (+.f64 x y) (fma.f64 x x (*.f64 y (+.f64 x y)))))
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (+.f64 x y) (-.f64 x y))) (*.f64 (+.f64 x y) (+.f64 x y)))
(/.f64 (*.f64 #s(literal -1 binary64) (*.f64 (fma.f64 x x (*.f64 y (+.f64 x y))) (-.f64 x y))) (*.f64 (neg.f64 (+.f64 x y)) (fma.f64 x x (*.f64 y (+.f64 x y)))))
(/.f64 (*.f64 #s(literal -1 binary64) (*.f64 (+.f64 x y) (-.f64 x y))) (*.f64 (neg.f64 (+.f64 x y)) (+.f64 x y)))
(/.f64 (*.f64 (*.f64 (fma.f64 x x (*.f64 y (+.f64 x y))) (-.f64 x y)) #s(literal 1 binary64)) (*.f64 (fma.f64 x x (*.f64 y (+.f64 x y))) (+.f64 x y)))
(/.f64 (*.f64 (*.f64 (fma.f64 x x (*.f64 y (+.f64 x y))) (-.f64 x y)) #s(literal -1 binary64)) (*.f64 (fma.f64 x x (*.f64 y (+.f64 x y))) (neg.f64 (+.f64 x y))))
(/.f64 (*.f64 (*.f64 (+.f64 x y) (-.f64 x y)) #s(literal 1 binary64)) (*.f64 (+.f64 x y) (+.f64 x y)))
(/.f64 (*.f64 (*.f64 (+.f64 x y) (-.f64 x y)) #s(literal -1 binary64)) (*.f64 (+.f64 x y) (neg.f64 (+.f64 x y))))
(/.f64 (neg.f64 (neg.f64 (-.f64 x y))) (neg.f64 (neg.f64 (+.f64 x y))))
(/.f64 (-.f64 (pow.f64 (/.f64 x (+.f64 x y)) #s(literal 3 binary64)) (pow.f64 (/.f64 y (+.f64 x y)) #s(literal 3 binary64))) (fma.f64 (/.f64 x (+.f64 x y)) (/.f64 x (+.f64 x y)) (fma.f64 (/.f64 y (+.f64 x y)) (/.f64 y (+.f64 x y)) (*.f64 (/.f64 x (+.f64 x y)) (/.f64 y (+.f64 x y))))))
(/.f64 (-.f64 (*.f64 (/.f64 x (+.f64 x y)) (/.f64 x (+.f64 x y))) (*.f64 (/.f64 y (+.f64 x y)) (/.f64 y (+.f64 x y)))) (+.f64 (/.f64 x (+.f64 x y)) (/.f64 y (+.f64 x y))))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x y)) (*.f64 (fma.f64 x x (*.f64 y (+.f64 x y))) (-.f64 x y))) (fma.f64 x x (*.f64 y (+.f64 x y))))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x y)) (*.f64 (+.f64 x y) (-.f64 x y))) (+.f64 x y))
(/.f64 (*.f64 (-.f64 x y) #s(literal -1 binary64)) (neg.f64 (+.f64 x y)))
(/.f64 (*.f64 (*.f64 (fma.f64 x x (*.f64 y (+.f64 x y))) (-.f64 x y)) (/.f64 #s(literal 1 binary64) (+.f64 x y))) (fma.f64 x x (*.f64 y (+.f64 x y))))
(pow.f64 (/.f64 (+.f64 x y) (-.f64 x y)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (+.f64 x y)))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x y)) (-.f64 x y))
(*.f64 (-.f64 x y) (/.f64 #s(literal 1 binary64) (+.f64 x y)))
(*.f64 (neg.f64 (-.f64 x y)) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 x y))))
(*.f64 (/.f64 (-.f64 x y) (*.f64 (+.f64 x y) (-.f64 x y))) (-.f64 x y))
(*.f64 (/.f64 (-.f64 x y) (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y)))) (fma.f64 y (-.f64 y x) (*.f64 x x)))
(exp.f64 (*.f64 (log.f64 (+.f64 x y)) #s(literal -1 binary64)))
(neg.f64 (/.f64 #s(literal -1 binary64) (+.f64 x y)))
(/.f64 #s(literal 1 binary64) (+.f64 x y))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (+.f64 x y))))
(/.f64 #s(literal -1 binary64) (neg.f64 (+.f64 x y)))
(pow.f64 (+.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 x y)) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 x y))))
(*.f64 (pow.f64 (+.f64 x y) #s(literal -1/2 binary64)) (pow.f64 (+.f64 x y) #s(literal -1/2 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y)))) (fma.f64 y (-.f64 y x) (*.f64 x x)))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 x y) (-.f64 x y))) (-.f64 x y))
(+.f64 x y)
(+.f64 y x)
(-.f64 (/.f64 (*.f64 x x) (-.f64 x y)) (/.f64 (*.f64 y y) (-.f64 x y)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x y)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y (-.f64 y x) (*.f64 x x)) (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (*.f64 (+.f64 x y) (-.f64 x y))))
(/.f64 (+.f64 x y) #s(literal 1 binary64))
(/.f64 (neg.f64 (+.f64 x y)) #s(literal -1 binary64))
(/.f64 (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))) (fma.f64 y (-.f64 y x) (*.f64 x x)))
(/.f64 (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))) (fma.f64 y y (-.f64 (*.f64 x x) (*.f64 x y))))
(/.f64 (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))) (*.f64 #s(literal 1 binary64) (fma.f64 y (-.f64 y x) (*.f64 x x))))
(/.f64 (*.f64 (+.f64 x y) (-.f64 x y)) (-.f64 x y))
(/.f64 (neg.f64 (*.f64 (+.f64 x y) (-.f64 x y))) (neg.f64 (-.f64 x y)))
(/.f64 (neg.f64 (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y)))) (neg.f64 (fma.f64 y (-.f64 y x) (*.f64 x x))))
(/.f64 (-.f64 (*.f64 y y) (*.f64 x x)) (-.f64 y x))
(*.f64 (+.f64 x y) #s(literal 1 binary64))
(*.f64 (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))) (/.f64 #s(literal 1 binary64) (fma.f64 y (-.f64 y x) (*.f64 x x))))
(*.f64 (*.f64 (+.f64 x y) (-.f64 x y)) (/.f64 #s(literal 1 binary64) (-.f64 x y)))
(*.f64 (/.f64 (*.f64 (+.f64 x y) (-.f64 x y)) (*.f64 (+.f64 x y) (-.f64 x y))) (+.f64 x y))
(*.f64 (/.f64 (*.f64 (+.f64 x y) (-.f64 x y)) (*.f64 (fma.f64 x x (*.f64 y (+.f64 x y))) (-.f64 x y))) (fma.f64 x x (*.f64 y (+.f64 x y))))
(+.f64 x (neg.f64 y))
(+.f64 (neg.f64 y) x)
(+.f64 (*.f64 #s(literal 1 binary64) x) (*.f64 #s(literal 1 binary64) (neg.f64 y)))
(+.f64 (*.f64 x #s(literal 1 binary64)) (*.f64 (neg.f64 y) #s(literal 1 binary64)))
(-.f64 x y)
(-.f64 (/.f64 (*.f64 x (*.f64 x x)) (fma.f64 x x (*.f64 y (+.f64 x y)))) (/.f64 (*.f64 y (*.f64 y y)) (fma.f64 x x (*.f64 y (+.f64 x y)))))
(-.f64 (/.f64 (*.f64 x x) (+.f64 x y)) (/.f64 (*.f64 y y) (+.f64 x y)))
(-.f64 (+.f64 x #s(literal 0 binary64)) y)
(fma.f64 #s(literal 1 binary64) x (*.f64 #s(literal 1 binary64) (neg.f64 y)))
(fma.f64 x #s(literal 1 binary64) (*.f64 (neg.f64 y) #s(literal 1 binary64)))
(fma.f64 y #s(literal -1 binary64) x)
(fma.f64 #s(literal -1 binary64) y x)
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x (*.f64 y (+.f64 x y))) (*.f64 (fma.f64 x x (*.f64 y (+.f64 x y))) (-.f64 x y))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x y) (*.f64 (+.f64 x y) (-.f64 x y))))
(/.f64 (*.f64 (fma.f64 x x (*.f64 y (+.f64 x y))) (-.f64 x y)) (fma.f64 x x (*.f64 y (+.f64 x y))))
(/.f64 (*.f64 (+.f64 x y) (-.f64 x y)) (+.f64 x y))
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x x (*.f64 y (+.f64 x y))) (-.f64 x y))) (fma.f64 x x (*.f64 y (+.f64 x y))))
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (+.f64 x y) (-.f64 x y))) (+.f64 x y))
(/.f64 (neg.f64 (*.f64 (fma.f64 x x (*.f64 y (+.f64 x y))) (-.f64 x y))) (neg.f64 (fma.f64 x x (*.f64 y (+.f64 x y)))))
(/.f64 (neg.f64 (*.f64 (+.f64 x y) (-.f64 x y))) (neg.f64 (+.f64 x y)))
(/.f64 (fma.f64 x (*.f64 x x) (pow.f64 (neg.f64 y) #s(literal 3 binary64))) (fma.f64 x x (-.f64 (*.f64 (neg.f64 y) (neg.f64 y)) (*.f64 x (neg.f64 y)))))
(/.f64 (-.f64 (*.f64 x x) (*.f64 (neg.f64 y) (neg.f64 y))) (-.f64 x (neg.f64 y)))
(*.f64 #s(literal 1 binary64) (-.f64 x y))
(*.f64 (-.f64 x y) #s(literal 1 binary64))
(*.f64 (*.f64 (fma.f64 x x (*.f64 y (+.f64 x y))) (-.f64 x y)) (/.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 y (+.f64 x y)))))
(*.f64 (*.f64 (+.f64 x y) (-.f64 x y)) (/.f64 #s(literal 1 binary64) (+.f64 x y)))
(*.f64 (/.f64 (*.f64 (+.f64 x y) (-.f64 x y)) (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y)))) (fma.f64 y (-.f64 y x) (*.f64 x x)))
(*.f64 (/.f64 (*.f64 (+.f64 x y) (-.f64 x y)) (*.f64 (+.f64 x y) (-.f64 x y))) (-.f64 x y))
#s(approx (/ (- x y) (+ x y)) #s(literal -1 binary64))
#s(approx (/ (- x y) (+ x y)) #s(literal 1 binary64))
(neg.f64 (/.f64 #s(approx (- x y) (neg.f64 y)) (neg.f64 (+.f64 x y))))
(neg.f64 (/.f64 (neg.f64 #s(approx (- x y) (neg.f64 y))) (+.f64 x y)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x y) #s(approx (- x y) (neg.f64 y))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 x y) #s(approx (- x y) (neg.f64 y))) #s(literal 1 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 x y) #s(approx (- x y) (neg.f64 y)))))
(/.f64 #s(approx (- x y) (neg.f64 y)) (+.f64 x y))
(/.f64 (neg.f64 #s(approx (- x y) (neg.f64 y))) (neg.f64 (+.f64 x y)))
(/.f64 (neg.f64 (neg.f64 #s(approx (- x y) (neg.f64 y)))) (neg.f64 (neg.f64 (+.f64 x y))))
(/.f64 (*.f64 #s(approx (- x y) (neg.f64 y)) #s(literal 1 binary64)) (+.f64 x y))
(/.f64 (*.f64 #s(approx (- x y) (neg.f64 y)) #s(literal -1 binary64)) (neg.f64 (+.f64 x y)))
(pow.f64 (/.f64 (+.f64 x y) #s(approx (- x y) (neg.f64 y))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(approx (- x y) (neg.f64 y)) (+.f64 x y)))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x y)) #s(approx (- x y) (neg.f64 y)))
(*.f64 #s(approx (- x y) (neg.f64 y)) (/.f64 #s(literal 1 binary64) (+.f64 x y)))
(*.f64 (neg.f64 #s(approx (- x y) (neg.f64 y))) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 x y))))
(*.f64 (*.f64 #s(approx (- x y) (neg.f64 y)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x y)))
(*.f64 (/.f64 #s(approx (- x y) (neg.f64 y)) (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y)))) (fma.f64 y (-.f64 y x) (*.f64 x x)))
(*.f64 (/.f64 #s(approx (- x y) (neg.f64 y)) (*.f64 (+.f64 x y) (-.f64 x y))) (-.f64 x y))
#s(approx (- x y) (neg.f64 y))
(+.f64 #s(literal 0 binary64) (neg.f64 y))
(-.f64 #s(literal 0 binary64) y)
(neg.f64 y)
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 y y))) (+.f64 #s(literal 0 binary64) (fma.f64 y y (*.f64 #s(literal 0 binary64) y))))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (+.f64 #s(literal 0 binary64) y))
(*.f64 y #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) y)
#s(approx (/ (- x y) (+ x y)) (fma.f64 #s(literal 2 binary64) (/.f64 x y) #s(literal -1 binary64)))
(+.f64 #s(literal -1 binary64) (/.f64 (+.f64 x x) y))
(+.f64 (/.f64 (+.f64 x x) y) #s(literal -1 binary64))
(-.f64 #s(literal -1 binary64) (/.f64 (+.f64 x x) y))
(-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (/.f64 x y) #s(literal -1 binary64))) (/.f64 (/.f64 (*.f64 (+.f64 x x) (+.f64 x x)) (*.f64 y y)) (fma.f64 #s(literal 2 binary64) (/.f64 x y) #s(literal -1 binary64))))
(fma.f64 #s(literal 1 binary64) (/.f64 (+.f64 x x) y) #s(literal -1 binary64))
(fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 x x) y) #s(literal -1 binary64))
(fma.f64 (+.f64 x x) (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64))
(fma.f64 (+.f64 x x) (/.f64 #s(literal 1 binary64) (neg.f64 y)) #s(literal -1 binary64))
(fma.f64 (/.f64 (+.f64 x x) y) #s(literal -1 binary64) #s(literal -1 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 x x) #s(literal -1 binary64))
(fma.f64 #s(literal 2 binary64) (*.f64 x (/.f64 #s(literal 1 binary64) y)) #s(literal -1 binary64))
(fma.f64 #s(literal 2 binary64) (/.f64 x y) #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 (+.f64 x x) y) (-.f64 (/.f64 (+.f64 x x) y) #s(literal -1 binary64)) #s(literal 1 binary64)) (fma.f64 (/.f64 (+.f64 x x) y) (/.f64 (*.f64 (+.f64 x x) (+.f64 x x)) (*.f64 y y)) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) (/.f64 x y) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 x x) (+.f64 x x)) (*.f64 y y)))))
(/.f64 (fma.f64 (/.f64 (+.f64 x x) y) (/.f64 (*.f64 (+.f64 x x) (+.f64 x x)) (*.f64 y y)) #s(literal -1 binary64)) (fma.f64 (/.f64 (+.f64 x x) y) (-.f64 (/.f64 (+.f64 x x) y) #s(literal -1 binary64)) #s(literal 1 binary64)))
(/.f64 (fma.f64 (/.f64 (+.f64 x x) y) (/.f64 (*.f64 (+.f64 x x) (+.f64 x x)) (*.f64 y y)) #s(literal -1 binary64)) (+.f64 (/.f64 (*.f64 (+.f64 x x) (+.f64 x x)) (*.f64 y y)) (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 x x) y))))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 x x) (+.f64 x x)) (*.f64 y y))) (fma.f64 #s(literal 2 binary64) (/.f64 x y) #s(literal -1 binary64)))
(/.f64 (neg.f64 (fma.f64 (/.f64 (+.f64 x x) y) (/.f64 (*.f64 (+.f64 x x) (+.f64 x x)) (*.f64 y y)) #s(literal -1 binary64))) (neg.f64 (fma.f64 (/.f64 (+.f64 x x) y) (-.f64 (/.f64 (+.f64 x x) y) #s(literal -1 binary64)) #s(literal 1 binary64))))
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 x x) (+.f64 x x)) (*.f64 y y)))) (neg.f64 (fma.f64 #s(literal 2 binary64) (/.f64 x y) #s(literal -1 binary64))))
(/.f64 (-.f64 #s(literal -1 binary64) (*.f64 (/.f64 (+.f64 x x) y) (/.f64 (*.f64 (+.f64 x x) (+.f64 x x)) (*.f64 y y)))) (fma.f64 (/.f64 (+.f64 x x) y) (-.f64 (/.f64 (+.f64 x x) y) #s(literal -1 binary64)) #s(literal 1 binary64)))
(/.f64 (-.f64 (/.f64 (*.f64 (+.f64 x x) (+.f64 x x)) (*.f64 y y)) #s(literal 1 binary64)) (-.f64 (/.f64 (+.f64 x x) y) #s(literal -1 binary64)))
(*.f64 (fma.f64 (/.f64 (+.f64 x x) y) (/.f64 (*.f64 (+.f64 x x) (+.f64 x x)) (*.f64 y y)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (+.f64 x x) y) (-.f64 (/.f64 (+.f64 x x) y) #s(literal -1 binary64)) #s(literal 1 binary64))))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 x x) (+.f64 x x)) (*.f64 y y))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (/.f64 x y) #s(literal -1 binary64))))
(neg.f64 (/.f64 (+.f64 x x) y))
(/.f64 #s(literal 1 binary64) (*.f64 y (+.f64 x x)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (+.f64 x x)) #s(literal 1 binary64)))
(/.f64 #s(literal -1 binary64) (*.f64 y (+.f64 x x)))
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 y (+.f64 x x))))
(/.f64 (+.f64 x x) y)
(/.f64 (+.f64 x x) (neg.f64 y))
(/.f64 (+.f64 x x) (neg.f64 (neg.f64 y)))
(/.f64 #s(literal 0 binary64) (*.f64 #s(literal 0 binary64) y))
(/.f64 #s(literal 0 binary64) (*.f64 y #s(literal 0 binary64)))
(/.f64 (*.f64 (fma.f64 x x #s(literal 0 binary64)) (+.f64 x x)) (*.f64 y (fma.f64 x x #s(literal 0 binary64))))
(/.f64 (*.f64 (+.f64 x x) #s(literal 1 binary64)) y)
(/.f64 (*.f64 (*.f64 (fma.f64 x x #s(literal 0 binary64)) (+.f64 x x)) #s(literal 1 binary64)) (*.f64 (fma.f64 x x #s(literal 0 binary64)) y))
(/.f64 (*.f64 (*.f64 (fma.f64 x x #s(literal 0 binary64)) (+.f64 x x)) (/.f64 #s(literal 1 binary64) y)) (fma.f64 x x #s(literal 0 binary64)))
(/.f64 (*.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) y)) #s(literal 0 binary64))
(/.f64 (/.f64 (+.f64 x x) #s(literal -1 binary64)) y)
(pow.f64 (*.f64 y (+.f64 x x)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (+.f64 x x) y))
(*.f64 #s(literal -1 binary64) (/.f64 (+.f64 x x) y))
(*.f64 (+.f64 x x) (/.f64 #s(literal 1 binary64) y))
(*.f64 (+.f64 x x) (/.f64 #s(literal 1 binary64) (neg.f64 y)))
(*.f64 (/.f64 (+.f64 x x) y) #s(literal -1 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 x x))
(*.f64 #s(literal 2 binary64) (*.f64 x (/.f64 #s(literal 1 binary64) y)))
(*.f64 #s(literal 2 binary64) (/.f64 x y))
(+.f64 x x)
(+.f64 (neg.f64 x) (neg.f64 x))
(-.f64 #s(literal 0 binary64) (+.f64 x x))
(-.f64 (/.f64 (*.f64 x x) #s(literal 0 binary64)) (/.f64 (*.f64 x x) #s(literal 0 binary64)))
(neg.f64 (+.f64 x x))
(/.f64 #s(literal 1 binary64) (+.f64 x x))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 (fma.f64 x x #s(literal 0 binary64)) (+.f64 x x))))
(/.f64 #s(literal 0 binary64) #s(literal 0 binary64))
(/.f64 (*.f64 (fma.f64 x x #s(literal 0 binary64)) (+.f64 x x)) (fma.f64 x x #s(literal 0 binary64)))
(/.f64 (*.f64 (fma.f64 x x #s(literal 0 binary64)) (+.f64 x x)) (neg.f64 (fma.f64 x x #s(literal 0 binary64))))
(/.f64 (neg.f64 (*.f64 (fma.f64 x x #s(literal 0 binary64)) (+.f64 x x))) (fma.f64 x x #s(literal 0 binary64)))
(/.f64 (neg.f64 (*.f64 (fma.f64 x x #s(literal 0 binary64)) (+.f64 x x))) (neg.f64 (fma.f64 x x #s(literal 0 binary64))))
(*.f64 x #s(literal 2 binary64))
(*.f64 #s(literal -1 binary64) (+.f64 x x))
(*.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) #s(literal 0 binary64)))
(*.f64 (*.f64 (fma.f64 x x #s(literal 0 binary64)) (+.f64 x x)) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64))))
(*.f64 #s(literal 2 binary64) x)
(*.f64 #s(literal 2 binary64) (neg.f64 x))
(*.f64 #s(literal -2 binary64) x)

eval98.0ms (1.7%)

Memory
5.4MiB live, 167.6MiB allocated
Compiler

Compiled 6 576 to 626 computations (90.5% saved)

prune44.0ms (0.8%)

Memory
33.2MiB live, 107.9MiB allocated
Pruning

7 alts after pruning (1 fresh and 6 done)

PrunedKeptTotal
New5121513
Fresh101
Picked055
Done011
Total5137520
Accuracy
100.0%
Counts
520 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(/.f64 (-.f64 x y) (+.f64 x y))
56.9%
(/.f64 #s(approx (- x y) (neg.f64 y)) (+.f64 x y))
99.8%
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x y)) (-.f64 x y))
43.8%
#s(approx (/ (- x y) (+ x y)) (fma.f64 (+.f64 y y) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 y x)) x) #s(literal 1 binary64)))
56.7%
#s(approx (/ (- x y) (+ x y)) (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 x x) y)))
43.7%
#s(approx (/ (- x y) (+ x y)) #s(literal 1 binary64))
55.8%
#s(approx (/ (- x y) (+ x y)) #s(literal -1 binary64))
Compiler

Compiled 62 to 38 computations (38.7% saved)

simplify478.0ms (8.4%)

Memory
-30.3MiB live, 245.9MiB allocated
Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 y x)) x)
cost-diff0
(+.f64 y y)
cost-diff0
(fma.f64 (+.f64 y y) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 y x)) x) #s(literal 1 binary64))
cost-diff0
#s(approx (/ (- x y) (+ x y)) (fma.f64 (+.f64 y y) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 y x)) x) #s(literal 1 binary64)))
Rules
7 144×lower-fma.f32
7 142×lower-fma.f64
1 848×lower-*.f64
1 848×lower-*.f32
1 218×div-sub
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01354
01954
13454
25954
313354
424654
542754
690454
7222154
8486754
9577254
10609454
11620654
12626854
13629954
14638554
15638554
16639754
17639954
18639954
19639954
20703254
21722454
22727254
23727254
24727254
0727252
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
#s(approx (/ (- x y) (+ x y)) (fma.f64 (+.f64 y y) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 y x)) x) #s(literal 1 binary64)))
(fma.f64 (+.f64 y y) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 y x)) x) #s(literal 1 binary64))
(+.f64 y y)
y
(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 y x)) x)
(+.f64 #s(literal -1 binary64) (/.f64 y x))
#s(literal -1 binary64)
(/.f64 y x)
x
#s(literal 1 binary64)
Outputs
#s(approx (/ (- x y) (+ x y)) (fma.f64 (+.f64 y y) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 y x)) x) #s(literal 1 binary64)))
(fma.f64 (+.f64 y y) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 y x)) x) #s(literal 1 binary64))
(+.f64 y y)
y
(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 y x)) x)
(+.f64 #s(literal -1 binary64) (/.f64 y x))
#s(literal -1 binary64)
(/.f64 y x)
x
#s(literal 1 binary64)

localize34.0ms (0.6%)

Memory
25.9MiB live, 63.8MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0.00390625
(+.f64 #s(literal -1 binary64) (/.f64 y x))
accuracy0.07421875
(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 y x)) x)
accuracy2.5765096842248116
(fma.f64 (+.f64 y y) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 y x)) x) #s(literal 1 binary64))
accuracy35.93956588396426
#s(approx (/ (- x y) (+ x y)) (fma.f64 (+.f64 y y) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 y x)) x) #s(literal 1 binary64)))
Samples
21.0ms256×0valid
Compiler

Compiled 44 to 15 computations (65.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 13.0ms
ival-div: 5.0ms (38% of total)
ival-add: 4.0ms (30.4% of total)
ival-sub: 2.0ms (15.2% of total)
ival-mult: 2.0ms (15.2% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series13.0ms (0.2%)

Memory
-24.6MiB live, 17.7MiB allocated
Counts
5 → 108
Calls
Call 1
Inputs
#s(alt #s(approx (/ (- x y) (+ x y)) (fma.f64 (+.f64 y y) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 y x)) x) #s(literal 1 binary64))) (patch #s(approx (/ (- x y) (+ x y)) (fma.f64 (+.f64 y y) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 y x)) x) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 (+.f64 y y) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 y x)) x) #s(literal 1 binary64)) (patch (fma.f64 (+.f64 y y) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 y x)) x) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (+.f64 y y) (patch (+.f64 y y) #<representation binary64>) () ())
#s(alt (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 y x)) x) (patch (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 y x)) x) #<representation binary64>) () ())
#s(alt (+.f64 #s(literal -1 binary64) (/.f64 y x)) (patch (+.f64 #s(literal -1 binary64) (/.f64 y x)) #<representation binary64>) () ())
Outputs
#s(alt -1 (taylor 0 x) (#s(alt #s(approx (/ (- x y) (+ x y)) (fma.f64 (+.f64 y y) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 y x)) x) #s(literal 1 binary64))) (patch #s(approx (/ (- x y) (+ x y)) (fma.f64 (+.f64 y y) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 y x)) x) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (* 2 (/ x y)) 1) (taylor 0 x) (#s(alt #s(approx (/ (- x y) (+ x y)) (fma.f64 (+.f64 y y) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 y x)) x) #s(literal 1 binary64))) (patch #s(approx (/ (- x y) (+ x y)) (fma.f64 (+.f64 y y) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 y x)) x) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (* x (+ (* -2 (/ x (pow y 2))) (* 2 (/ 1 y)))) 1) (taylor 0 x) (#s(alt #s(approx (/ (- x y) (+ x y)) (fma.f64 (+.f64 y y) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 y x)) x) #s(literal 1 binary64))) (patch #s(approx (/ (- x y) (+ x y)) (fma.f64 (+.f64 y y) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 y x)) x) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (* x (+ (* x (- (* 2 (/ x (pow y 3))) (* 2 (/ 1 (pow y 2))))) (* 2 (/ 1 y)))) 1) (taylor 0 x) (#s(alt #s(approx (/ (- x y) (+ x y)) (fma.f64 (+.f64 y y) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 y x)) x) #s(literal 1 binary64))) (patch #s(approx (/ (- x y) (+ x y)) (fma.f64 (+.f64 y y) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 y x)) x) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt 1 (taylor inf x) (#s(alt #s(approx (/ (- x y) (+ x y)) (fma.f64 (+.f64 y y) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 y x)) x) #s(literal 1 binary64))) (patch #s(approx (/ (- x y) (+ x y)) (fma.f64 (+.f64 y y) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 y x)) x) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (+ 1 (* -1 (/ y x))) (/ y x)) (taylor inf x) (#s(alt #s(approx (/ (- x y) (+ x y)) (fma.f64 (+.f64 y y) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 y x)) x) #s(literal 1 binary64))) (patch #s(approx (/ (- x y) (+ x y)) (fma.f64 (+.f64 y y) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 y x)) x) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (+ 1 (+ (* -1 (/ y x)) (* -1 (/ (* y (- (* -1 y) y)) (pow x 2))))) (/ y x)) (taylor inf x) (#s(alt #s(approx (/ (- x y) (+ x y)) (fma.f64 (+.f64 y y) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 y x)) x) #s(literal 1 binary64))) (patch #s(approx (/ (- x y) (+ x y)) (fma.f64 (+.f64 y y) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 y x)) x) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (+ 1 (+ (* -1 (/ y x)) (/ (* (pow y 2) (- (* -1 y) y)) (pow x 3)))) (+ (/ y x) (/ (* y (- (* -1 y) y)) (pow x 2)))) (taylor inf x) (#s(alt #s(approx (/ (- x y) (+ x y)) (fma.f64 (+.f64 y y) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 y x)) x) #s(literal 1 binary64))) (patch #s(approx (/ (- x y) (+ x y)) (fma.f64 (+.f64 y y) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 y x)) x) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt 1 (taylor -inf x) (#s(alt #s(approx (/ (- x y) (+ x y)) (fma.f64 (+.f64 y y) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 y x)) x) #s(literal 1 binary64))) (patch #s(approx (/ (- x y) (+ x y)) (fma.f64 (+.f64 y y) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 y x)) x) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (+ 1 (* -1 (/ y x))) (/ y x)) (taylor -inf x) (#s(alt #s(approx (/ (- x y) (+ x y)) (fma.f64 (+.f64 y y) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 y x)) x) #s(literal 1 binary64))) (patch #s(approx (/ (- x y) (+ x y)) (fma.f64 (+.f64 y y) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 y x)) x) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (/ (+ (* -1 (- (* -1 y) y)) (/ (* y (- (* -1 y) y)) x)) x))) (taylor -inf x) (#s(alt #s(approx (/ (- x y) (+ x y)) (fma.f64 (+.f64 y y) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 y x)) x) #s(literal 1 binary64))) (patch #s(approx (/ (- x y) (+ x y)) (fma.f64 (+.f64 y y) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 y x)) x) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (/ (+ (* -1 (- (* -1 y) y)) (* -1 (/ (+ (* -1 (* y (- (* -1 y) y))) (/ (* (pow y 2) (- (* -1 y) y)) x)) x))) x))) (taylor -inf x) (#s(alt #s(approx (/ (- x y) (+ x y)) (fma.f64 (+.f64 y y) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 y x)) x) #s(literal 1 binary64))) (patch #s(approx (/ (- x y) (+ x y)) (fma.f64 (+.f64 y y) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 y x)) x) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 y) (#s(alt #s(approx (/ (- x y) (+ x y)) (fma.f64 (+.f64 y y) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 y x)) x) #s(literal 1 binary64))) (patch #s(approx (/ (- x y) (+ x y)) (fma.f64 (+.f64 y y) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 y x)) x) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -2 (/ y x))) (taylor 0 y) (#s(alt #s(approx (/ (- x y) (+ x y)) (fma.f64 (+.f64 y y) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 y x)) x) #s(literal 1 binary64))) (patch #s(approx (/ (- x y) (+ x y)) (fma.f64 (+.f64 y y) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 y x)) x) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* y (- (* 2 (/ y (pow x 2))) (* 2 (/ 1 x))))) (taylor 0 y) (#s(alt #s(approx (/ (- x y) (+ x y)) (fma.f64 (+.f64 y y) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 y x)) x) #s(literal 1 binary64))) (patch #s(approx (/ (- x y) (+ x y)) (fma.f64 (+.f64 y y) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 y x)) x) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* y (- (* y (+ (* -2 (/ y (pow x 3))) (* 2 (/ 1 (pow x 2))))) (* 2 (/ 1 x))))) (taylor 0 y) (#s(alt #s(approx (/ (- x y) (+ x y)) (fma.f64 (+.f64 y y) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 y x)) x) #s(literal 1 binary64))) (patch #s(approx (/ (- x y) (+ x y)) (fma.f64 (+.f64 y y) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 y x)) x) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt -1 (taylor inf y) (#s(alt #s(approx (/ (- x y) (+ x y)) (fma.f64 (+.f64 y y) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 y x)) x) #s(literal 1 binary64))) (patch #s(approx (/ (- x y) (+ x y)) (fma.f64 (+.f64 y y) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 y x)) x) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (/ x y) (+ 1 (* -1 (/ x y)))) (taylor inf y) (#s(alt #s(approx (/ (- x y) (+ x y)) (fma.f64 (+.f64 y y) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 y x)) x) #s(literal 1 binary64))) (patch #s(approx (/ (- x y) (+ x y)) (fma.f64 (+.f64 y y) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 y x)) x) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (+ (* -1 (/ (* x (- x (* -1 x))) (pow y 2))) (/ x y)) (+ 1 (* -1 (/ x y)))) (taylor inf y) (#s(alt #s(approx (/ (- x y) (+ x y)) (fma.f64 (+.f64 y y) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 y x)) x) #s(literal 1 binary64))) (patch #s(approx (/ (- x y) (+ x y)) (fma.f64 (+.f64 y y) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 y x)) x) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (+ (/ x y) (/ (* (pow x 2) (- x (* -1 x))) (pow y 3))) (+ 1 (+ (* -1 (/ x y)) (/ (* x (- x (* -1 x))) (pow y 2))))) (taylor inf y) (#s(alt #s(approx (/ (- x y) (+ x y)) (fma.f64 (+.f64 y y) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 y x)) x) #s(literal 1 binary64))) (patch #s(approx (/ (- x y) (+ x y)) (fma.f64 (+.f64 y y) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 y x)) x) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt -1 (taylor -inf y) (#s(alt #s(approx (/ (- x y) (+ x y)) (fma.f64 (+.f64 y y) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 y x)) x) #s(literal 1 binary64))) (patch #s(approx (/ (- x y) (+ x y)) (fma.f64 (+.f64 y y) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 y x)) x) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (* -1 (/ (- (* -1 x) x) y)) 1) (taylor -inf y) (#s(alt #s(approx (/ (- x y) (+ x y)) (fma.f64 (+.f64 y y) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 y x)) x) #s(literal 1 binary64))) (patch #s(approx (/ (- x y) (+ x y)) (fma.f64 (+.f64 y y) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 y x)) x) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (* -1 (/ (- (+ (* -1 x) (* -1 (/ (* x (- (* -1 x) x)) y))) x) y)) 1) (taylor -inf y) (#s(alt #s(approx (/ (- x y) (+ x y)) (fma.f64 (+.f64 y y) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 y x)) x) #s(literal 1 binary64))) (patch #s(approx (/ (- x y) (+ x y)) (fma.f64 (+.f64 y y) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 y x)) x) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (* -1 (/ (- (+ (* -1 x) (* -1 (/ (- (* -1 (/ (* (pow x 2) (- (* -1 x) x)) y)) (* -1 (* x (- (* -1 x) x)))) y))) x) y)) 1) (taylor -inf y) (#s(alt #s(approx (/ (- x y) (+ x y)) (fma.f64 (+.f64 y y) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 y x)) x) #s(literal 1 binary64))) (patch #s(approx (/ (- x y) (+ x y)) (fma.f64 (+.f64 y y) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 y x)) x) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 y) (#s(alt (fma.f64 (+.f64 y y) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 y x)) x) #s(literal 1 binary64)) (patch (fma.f64 (+.f64 y y) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 y x)) x) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -2 (/ y x))) (taylor 0 y) (#s(alt (fma.f64 (+.f64 y y) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 y x)) x) #s(literal 1 binary64)) (patch (fma.f64 (+.f64 y y) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 y x)) x) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* y (- (* 2 (/ y (pow x 2))) (* 2 (/ 1 x))))) (taylor 0 y) (#s(alt (fma.f64 (+.f64 y y) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 y x)) x) #s(literal 1 binary64)) (patch (fma.f64 (+.f64 y y) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 y x)) x) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* y (- (* 2 (/ y (pow x 2))) (* 2 (/ 1 x))))) (taylor 0 y) (#s(alt (fma.f64 (+.f64 y y) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 y x)) x) #s(literal 1 binary64)) (patch (fma.f64 (+.f64 y y) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 y x)) x) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 2 (/ (pow y 2) (pow x 2))) (taylor inf y) (#s(alt (fma.f64 (+.f64 y y) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 y x)) x) #s(literal 1 binary64)) (patch (fma.f64 (+.f64 y y) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 y x)) x) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (- (* 2 (/ 1 (pow x 2))) (* 2 (/ 1 (* x y))))) (taylor inf y) (#s(alt (fma.f64 (+.f64 y y) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 y x)) x) #s(literal 1 binary64)) (patch (fma.f64 (+.f64 y y) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 y x)) x) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
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#s(alt (- (/ y x) 1) (taylor inf x) (#s(alt (+.f64 #s(literal -1 binary64) (/.f64 y x)) (patch (+.f64 #s(literal -1 binary64) (/.f64 y x)) #<representation binary64>) () ())) ())
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#s(alt (- (/ y x) 1) (taylor -inf x) (#s(alt (+.f64 #s(literal -1 binary64) (/.f64 y x)) (patch (+.f64 #s(literal -1 binary64) (/.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (- (/ y x) 1) (taylor -inf x) (#s(alt (+.f64 #s(literal -1 binary64) (/.f64 y x)) (patch (+.f64 #s(literal -1 binary64) (/.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (- (/ y x) 1) (taylor -inf x) (#s(alt (+.f64 #s(literal -1 binary64) (/.f64 y x)) (patch (+.f64 #s(literal -1 binary64) (/.f64 y x)) #<representation binary64>) () ())) ())
Calls

27 calls:

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

simplify335.0ms (5.9%)

Memory
10.7MiB live, 366.9MiB allocated
Algorithm
egg-herbie
Rules
14 780×lower-fma.f64
14 780×lower-fma.f32
4 150×lower-*.f64
4 150×lower-*.f32
2 264×lower--.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01741022
1509907
21433802
35137790
08955748
Stop Event
iter limit
node limit
Counts
108 → 108
Calls
Call 1
Inputs
-1
(- (* 2 (/ x y)) 1)
(- (* x (+ (* -2 (/ x (pow y 2))) (* 2 (/ 1 y)))) 1)
(- (* x (+ (* x (- (* 2 (/ x (pow y 3))) (* 2 (/ 1 (pow y 2))))) (* 2 (/ 1 y)))) 1)
1
(- (+ 1 (* -1 (/ y x))) (/ y x))
(- (+ 1 (+ (* -1 (/ y x)) (* -1 (/ (* y (- (* -1 y) y)) (pow x 2))))) (/ y x))
(- (+ 1 (+ (* -1 (/ y x)) (/ (* (pow y 2) (- (* -1 y) y)) (pow x 3)))) (+ (/ y x) (/ (* y (- (* -1 y) y)) (pow x 2))))
1
(- (+ 1 (* -1 (/ y x))) (/ y x))
(+ 1 (* -1 (/ (+ (* -1 (- (* -1 y) y)) (/ (* y (- (* -1 y) y)) x)) x)))
(+ 1 (* -1 (/ (+ (* -1 (- (* -1 y) y)) (* -1 (/ (+ (* -1 (* y (- (* -1 y) y))) (/ (* (pow y 2) (- (* -1 y) y)) x)) x))) x)))
1
(+ 1 (* -2 (/ y x)))
(+ 1 (* y (- (* 2 (/ y (pow x 2))) (* 2 (/ 1 x)))))
(+ 1 (* y (- (* y (+ (* -2 (/ y (pow x 3))) (* 2 (/ 1 (pow x 2))))) (* 2 (/ 1 x)))))
-1
(- (/ x y) (+ 1 (* -1 (/ x y))))
(- (+ (* -1 (/ (* x (- x (* -1 x))) (pow y 2))) (/ x y)) (+ 1 (* -1 (/ x y))))
(- (+ (/ x y) (/ (* (pow x 2) (- x (* -1 x))) (pow y 3))) (+ 1 (+ (* -1 (/ x y)) (/ (* x (- x (* -1 x))) (pow y 2)))))
-1
(- (* -1 (/ (- (* -1 x) x) y)) 1)
(- (* -1 (/ (- (+ (* -1 x) (* -1 (/ (* x (- (* -1 x) x)) y))) x) y)) 1)
(- (* -1 (/ (- (+ (* -1 x) (* -1 (/ (- (* -1 (/ (* (pow x 2) (- (* -1 x) x)) y)) (* -1 (* x (- (* -1 x) x)))) y))) x) y)) 1)
1
(+ 1 (* -2 (/ y x)))
(+ 1 (* y (- (* 2 (/ y (pow x 2))) (* 2 (/ 1 x)))))
(+ 1 (* y (- (* 2 (/ y (pow x 2))) (* 2 (/ 1 x)))))
(* 2 (/ (pow y 2) (pow x 2)))
(* (pow y 2) (- (* 2 (/ 1 (pow x 2))) (* 2 (/ 1 (* x y)))))
(* (pow y 2) (- (+ (* 2 (/ 1 (pow x 2))) (/ 1 (pow y 2))) (/ 2 (* x y))))
(* (pow y 2) (- (+ (* 2 (/ 1 (pow x 2))) (/ 1 (pow y 2))) (/ 2 (* x y))))
(* 2 (/ (pow y 2) (pow x 2)))
(* (pow y 2) (- (* 2 (/ 1 (pow x 2))) (* 2 (/ 1 (* x y)))))
(* (pow y 2) (+ (* -1 (/ (- (* 2 (/ 1 x)) (/ 1 y)) y)) (* 2 (/ 1 (pow x 2)))))
(* (pow y 2) (+ (* -1 (/ (- (* 2 (/ 1 x)) (/ 1 y)) y)) (* 2 (/ 1 (pow x 2)))))
(* 2 (/ (pow y 2) (pow x 2)))
(/ (+ (* -2 (* x y)) (* 2 (pow y 2))) (pow x 2))
(/ (+ (* 2 (pow y 2)) (* x (+ x (* -2 y)))) (pow x 2))
(/ (+ (* 2 (pow y 2)) (* x (+ x (* -2 y)))) (pow x 2))
1
(+ 1 (* -2 (/ y x)))
(+ 1 (+ (* -2 (/ y x)) (* 2 (/ (pow y 2) (pow x 2)))))
(+ 1 (+ (* -2 (/ y x)) (* 2 (/ (pow y 2) (pow x 2)))))
1
(+ 1 (* -2 (/ y x)))
(+ 1 (* -1 (/ (+ (* -2 (/ (pow y 2) x)) (* 2 y)) x)))
(+ 1 (* -1 (/ (+ (* -2 (/ (pow y 2) x)) (* 2 y)) x)))
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(/ -1 x)
(- (/ y (pow x 2)) (/ 1 x))
(- (/ y (pow x 2)) (/ 1 x))
(- (/ y (pow x 2)) (/ 1 x))
(/ y (pow x 2))
(* y (- (/ 1 (pow x 2)) (/ 1 (* x y))))
(* y (- (/ 1 (pow x 2)) (/ 1 (* x y))))
(* y (- (/ 1 (pow x 2)) (/ 1 (* x y))))
(/ y (pow x 2))
(* -1 (* y (- (/ 1 (* x y)) (/ 1 (pow x 2)))))
(* -1 (* y (- (/ 1 (* x y)) (/ 1 (pow x 2)))))
(* -1 (* y (- (/ 1 (* x y)) (/ 1 (pow x 2)))))
(/ y (pow x 2))
(/ (+ y (* -1 x)) (pow x 2))
(/ (+ y (* -1 x)) (pow x 2))
(/ (+ y (* -1 x)) (pow x 2))
(/ -1 x)
(/ (- (/ y x) 1) x)
(/ (- (/ y x) 1) x)
(/ (- (/ y x) 1) x)
(/ -1 x)
(* -1 (/ (+ 1 (* -1 (/ y x))) x))
(* -1 (/ (+ 1 (* -1 (/ y x))) x))
(* -1 (/ (+ 1 (* -1 (/ y x))) x))
-1
(- (/ y x) 1)
(- (/ y x) 1)
(- (/ y x) 1)
(/ y x)
(* y (- (/ 1 x) (/ 1 y)))
(* y (- (/ 1 x) (/ 1 y)))
(* y (- (/ 1 x) (/ 1 y)))
(/ y x)
(* -1 (* y (- (/ 1 y) (/ 1 x))))
(* -1 (* y (- (/ 1 y) (/ 1 x))))
(* -1 (* y (- (/ 1 y) (/ 1 x))))
(/ y x)
(/ (+ y (* -1 x)) x)
(/ (+ y (* -1 x)) x)
(/ (+ y (* -1 x)) x)
-1
(- (/ y x) 1)
(- (/ y x) 1)
(- (/ y x) 1)
-1
(- (/ y x) 1)
(- (/ y x) 1)
(- (/ y x) 1)
Outputs
-1
#s(literal -1 binary64)
(- (* 2 (/ x y)) 1)
(+.f64 #s(literal -1 binary64) (/.f64 (+.f64 x x) y))
(- (* x (+ (* -2 (/ x (pow y 2))) (* 2 (/ 1 y)))) 1)
(fma.f64 (/.f64 (+.f64 x x) y) (-.f64 #s(literal 1 binary64) (/.f64 x y)) #s(literal -1 binary64))
(- (* x (+ (* x (- (* 2 (/ x (pow y 3))) (* 2 (/ 1 (pow y 2))))) (* 2 (/ 1 y)))) 1)
(+.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (/.f64 x y) (*.f64 x (-.f64 (/.f64 (+.f64 x x) y) #s(literal 2 binary64))) (+.f64 x x)) y))
1
#s(literal 1 binary64)
(- (+ 1 (* -1 (/ y x))) (/ y x))
(fma.f64 y (/.f64 #s(literal -2 binary64) x) #s(literal 1 binary64))
(- (+ 1 (+ (* -1 (/ y x)) (* -1 (/ (* y (- (* -1 y) y)) (pow x 2))))) (/ y x))
(fma.f64 (+.f64 y y) (/.f64 (-.f64 y x) (*.f64 x x)) #s(literal 1 binary64))
(- (+ 1 (+ (* -1 (/ y x)) (/ (* (pow y 2) (- (* -1 y) y)) (pow x 3)))) (+ (/ y x) (/ (* y (- (* -1 y) y)) (pow x 2))))
(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 y (*.f64 (*.f64 y #s(literal -2 binary64)) (/.f64 (-.f64 y x) (*.f64 x x)))) (+.f64 y y)) x))
1
#s(literal 1 binary64)
(- (+ 1 (* -1 (/ y x))) (/ y x))
(fma.f64 y (/.f64 #s(literal -2 binary64) x) #s(literal 1 binary64))
(+ 1 (* -1 (/ (+ (* -1 (- (* -1 y) y)) (/ (* y (- (* -1 y) y)) x)) x)))
(fma.f64 (+.f64 y y) (/.f64 (-.f64 y x) (*.f64 x x)) #s(literal 1 binary64))
(+ 1 (* -1 (/ (+ (* -1 (- (* -1 y) y)) (* -1 (/ (+ (* -1 (* y (- (* -1 y) y))) (/ (* (pow y 2) (- (* -1 y) y)) x)) x))) x)))
(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 y (*.f64 (*.f64 y #s(literal -2 binary64)) (/.f64 (-.f64 y x) (*.f64 x x)))) (+.f64 y y)) x))
1
#s(literal 1 binary64)
(+ 1 (* -2 (/ y x)))
(fma.f64 y (/.f64 #s(literal -2 binary64) x) #s(literal 1 binary64))
(+ 1 (* y (- (* 2 (/ y (pow x 2))) (* 2 (/ 1 x)))))
(fma.f64 (+.f64 y y) (/.f64 (-.f64 y x) (*.f64 x x)) #s(literal 1 binary64))
(+ 1 (* y (- (* y (+ (* -2 (/ y (pow x 3))) (* 2 (/ 1 (pow x 2))))) (* 2 (/ 1 x)))))
(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 y (*.f64 (*.f64 y #s(literal -2 binary64)) (/.f64 (-.f64 y x) (*.f64 x x)))) (+.f64 y y)) x))
-1
#s(literal -1 binary64)
(- (/ x y) (+ 1 (* -1 (/ x y))))
(+.f64 #s(literal -1 binary64) (/.f64 (+.f64 x x) y))
(- (+ (* -1 (/ (* x (- x (* -1 x))) (pow y 2))) (/ x y)) (+ 1 (* -1 (/ x y))))
(fma.f64 (/.f64 (+.f64 x x) y) (-.f64 #s(literal 1 binary64) (/.f64 x y)) #s(literal -1 binary64))
(- (+ (/ x y) (/ (* (pow x 2) (- x (* -1 x))) (pow y 3))) (+ 1 (+ (* -1 (/ x y)) (/ (* x (- x (* -1 x))) (pow y 2)))))
(+.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (/.f64 x y) (*.f64 x (-.f64 (/.f64 (+.f64 x x) y) #s(literal 2 binary64))) (+.f64 x x)) y))
-1
#s(literal -1 binary64)
(- (* -1 (/ (- (* -1 x) x) y)) 1)
(+.f64 #s(literal -1 binary64) (/.f64 (+.f64 x x) y))
(- (* -1 (/ (- (+ (* -1 x) (* -1 (/ (* x (- (* -1 x) x)) y))) x) y)) 1)
(fma.f64 (/.f64 (+.f64 x x) y) (-.f64 #s(literal 1 binary64) (/.f64 x y)) #s(literal -1 binary64))
(- (* -1 (/ (- (+ (* -1 x) (* -1 (/ (- (* -1 (/ (* (pow x 2) (- (* -1 x) x)) y)) (* -1 (* x (- (* -1 x) x)))) y))) x) y)) 1)
(+.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (/.f64 x y) (*.f64 x (-.f64 (/.f64 (+.f64 x x) y) #s(literal 2 binary64))) (+.f64 x x)) y))
1
#s(literal 1 binary64)
(+ 1 (* -2 (/ y x)))
(fma.f64 y (/.f64 #s(literal -2 binary64) x) #s(literal 1 binary64))
(+ 1 (* y (- (* 2 (/ y (pow x 2))) (* 2 (/ 1 x)))))
(fma.f64 (+.f64 y y) (/.f64 (-.f64 y x) (*.f64 x x)) #s(literal 1 binary64))
(+ 1 (* y (- (* 2 (/ y (pow x 2))) (* 2 (/ 1 x)))))
(fma.f64 (+.f64 y y) (/.f64 (-.f64 y x) (*.f64 x x)) #s(literal 1 binary64))
(* 2 (/ (pow y 2) (pow x 2)))
(/.f64 (*.f64 y (+.f64 y y)) (*.f64 x x))
(* (pow y 2) (- (* 2 (/ 1 (pow x 2))) (* 2 (/ 1 (* x y)))))
(*.f64 (+.f64 y y) (/.f64 (-.f64 y x) (*.f64 x x)))
(* (pow y 2) (- (+ (* 2 (/ 1 (pow x 2))) (/ 1 (pow y 2))) (/ 2 (* x y))))
(fma.f64 (+.f64 y y) (/.f64 (-.f64 y x) (*.f64 x x)) #s(literal 1 binary64))
(* (pow y 2) (- (+ (* 2 (/ 1 (pow x 2))) (/ 1 (pow y 2))) (/ 2 (* x y))))
(fma.f64 (+.f64 y y) (/.f64 (-.f64 y x) (*.f64 x x)) #s(literal 1 binary64))
(* 2 (/ (pow y 2) (pow x 2)))
(/.f64 (*.f64 y (+.f64 y y)) (*.f64 x x))
(* (pow y 2) (- (* 2 (/ 1 (pow x 2))) (* 2 (/ 1 (* x y)))))
(*.f64 (+.f64 y y) (/.f64 (-.f64 y x) (*.f64 x x)))
(* (pow y 2) (+ (* -1 (/ (- (* 2 (/ 1 x)) (/ 1 y)) y)) (* 2 (/ 1 (pow x 2)))))
(fma.f64 (+.f64 y y) (/.f64 (-.f64 y x) (*.f64 x x)) #s(literal 1 binary64))
(* (pow y 2) (+ (* -1 (/ (- (* 2 (/ 1 x)) (/ 1 y)) y)) (* 2 (/ 1 (pow x 2)))))
(fma.f64 (+.f64 y y) (/.f64 (-.f64 y x) (*.f64 x x)) #s(literal 1 binary64))
(* 2 (/ (pow y 2) (pow x 2)))
(/.f64 (*.f64 y (+.f64 y y)) (*.f64 x x))
(/ (+ (* -2 (* x y)) (* 2 (pow y 2))) (pow x 2))
(/.f64 (*.f64 y (fma.f64 x #s(literal -2 binary64) (+.f64 y y))) (*.f64 x x))
(/ (+ (* 2 (pow y 2)) (* x (+ x (* -2 y)))) (pow x 2))
(/.f64 (fma.f64 x (-.f64 x (+.f64 y y)) (*.f64 y (+.f64 y y))) (*.f64 x x))
(/ (+ (* 2 (pow y 2)) (* x (+ x (* -2 y)))) (pow x 2))
(/.f64 (fma.f64 x (-.f64 x (+.f64 y y)) (*.f64 y (+.f64 y y))) (*.f64 x x))
1
#s(literal 1 binary64)
(+ 1 (* -2 (/ y x)))
(fma.f64 y (/.f64 #s(literal -2 binary64) x) #s(literal 1 binary64))
(+ 1 (+ (* -2 (/ y x)) (* 2 (/ (pow y 2) (pow x 2)))))
(fma.f64 (+.f64 y y) (/.f64 (-.f64 y x) (*.f64 x x)) #s(literal 1 binary64))
(+ 1 (+ (* -2 (/ y x)) (* 2 (/ (pow y 2) (pow x 2)))))
(fma.f64 (+.f64 y y) (/.f64 (-.f64 y x) (*.f64 x x)) #s(literal 1 binary64))
1
#s(literal 1 binary64)
(+ 1 (* -2 (/ y x)))
(fma.f64 y (/.f64 #s(literal -2 binary64) x) #s(literal 1 binary64))
(+ 1 (* -1 (/ (+ (* -2 (/ (pow y 2) x)) (* 2 y)) x)))
(fma.f64 (+.f64 y y) (/.f64 (-.f64 y x) (*.f64 x x)) #s(literal 1 binary64))
(+ 1 (* -1 (/ (+ (* -2 (/ (pow y 2) x)) (* 2 y)) x)))
(fma.f64 (+.f64 y y) (/.f64 (-.f64 y x) (*.f64 x x)) #s(literal 1 binary64))
(* 2 y)
(+.f64 y y)
(* 2 y)
(+.f64 y y)
(* 2 y)
(+.f64 y y)
(* 2 y)
(+.f64 y y)
(* 2 y)
(+.f64 y y)
(* 2 y)
(+.f64 y y)
(* 2 y)
(+.f64 y y)
(* 2 y)
(+.f64 y y)
(* 2 y)
(+.f64 y y)
(* 2 y)
(+.f64 y y)
(* 2 y)
(+.f64 y y)
(* 2 y)
(+.f64 y y)
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(- (/ y (pow x 2)) (/ 1 x))
(/.f64 (-.f64 y x) (*.f64 x x))
(- (/ y (pow x 2)) (/ 1 x))
(/.f64 (-.f64 y x) (*.f64 x x))
(- (/ y (pow x 2)) (/ 1 x))
(/.f64 (-.f64 y x) (*.f64 x x))
(/ y (pow x 2))
(/.f64 y (*.f64 x x))
(* y (- (/ 1 (pow x 2)) (/ 1 (* x y))))
(/.f64 (-.f64 y x) (*.f64 x x))
(* y (- (/ 1 (pow x 2)) (/ 1 (* x y))))
(/.f64 (-.f64 y x) (*.f64 x x))
(* y (- (/ 1 (pow x 2)) (/ 1 (* x y))))
(/.f64 (-.f64 y x) (*.f64 x x))
(/ y (pow x 2))
(/.f64 y (*.f64 x x))
(* -1 (* y (- (/ 1 (* x y)) (/ 1 (pow x 2)))))
(/.f64 (-.f64 y x) (*.f64 x x))
(* -1 (* y (- (/ 1 (* x y)) (/ 1 (pow x 2)))))
(/.f64 (-.f64 y x) (*.f64 x x))
(* -1 (* y (- (/ 1 (* x y)) (/ 1 (pow x 2)))))
(/.f64 (-.f64 y x) (*.f64 x x))
(/ y (pow x 2))
(/.f64 y (*.f64 x x))
(/ (+ y (* -1 x)) (pow x 2))
(/.f64 (-.f64 y x) (*.f64 x x))
(/ (+ y (* -1 x)) (pow x 2))
(/.f64 (-.f64 y x) (*.f64 x x))
(/ (+ y (* -1 x)) (pow x 2))
(/.f64 (-.f64 y x) (*.f64 x x))
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(/ (- (/ y x) 1) x)
(/.f64 (-.f64 y x) (*.f64 x x))
(/ (- (/ y x) 1) x)
(/.f64 (-.f64 y x) (*.f64 x x))
(/ (- (/ y x) 1) x)
(/.f64 (-.f64 y x) (*.f64 x x))
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(* -1 (/ (+ 1 (* -1 (/ y x))) x))
(/.f64 (-.f64 y x) (*.f64 x x))
(* -1 (/ (+ 1 (* -1 (/ y x))) x))
(/.f64 (-.f64 y x) (*.f64 x x))
(* -1 (/ (+ 1 (* -1 (/ y x))) x))
(/.f64 (-.f64 y x) (*.f64 x x))
-1
#s(literal -1 binary64)
(- (/ y x) 1)
(+.f64 #s(literal -1 binary64) (/.f64 y x))
(- (/ y x) 1)
(+.f64 #s(literal -1 binary64) (/.f64 y x))
(- (/ y x) 1)
(+.f64 #s(literal -1 binary64) (/.f64 y x))
(/ y x)
(/.f64 y x)
(* y (- (/ 1 x) (/ 1 y)))
(+.f64 #s(literal -1 binary64) (/.f64 y x))
(* y (- (/ 1 x) (/ 1 y)))
(+.f64 #s(literal -1 binary64) (/.f64 y x))
(* y (- (/ 1 x) (/ 1 y)))
(+.f64 #s(literal -1 binary64) (/.f64 y x))
(/ y x)
(/.f64 y x)
(* -1 (* y (- (/ 1 y) (/ 1 x))))
(+.f64 #s(literal -1 binary64) (/.f64 y x))
(* -1 (* y (- (/ 1 y) (/ 1 x))))
(+.f64 #s(literal -1 binary64) (/.f64 y x))
(* -1 (* y (- (/ 1 y) (/ 1 x))))
(+.f64 #s(literal -1 binary64) (/.f64 y x))
(/ y x)
(/.f64 y x)
(/ (+ y (* -1 x)) x)
(+.f64 #s(literal -1 binary64) (/.f64 y x))
(/ (+ y (* -1 x)) x)
(+.f64 #s(literal -1 binary64) (/.f64 y x))
(/ (+ y (* -1 x)) x)
(+.f64 #s(literal -1 binary64) (/.f64 y x))
-1
#s(literal -1 binary64)
(- (/ y x) 1)
(+.f64 #s(literal -1 binary64) (/.f64 y x))
(- (/ y x) 1)
(+.f64 #s(literal -1 binary64) (/.f64 y x))
(- (/ y x) 1)
(+.f64 #s(literal -1 binary64) (/.f64 y x))
-1
#s(literal -1 binary64)
(- (/ y x) 1)
(+.f64 #s(literal -1 binary64) (/.f64 y x))
(- (/ y x) 1)
(+.f64 #s(literal -1 binary64) (/.f64 y x))
(- (/ y x) 1)
(+.f64 #s(literal -1 binary64) (/.f64 y x))

rewrite67.0ms (1.2%)

Memory
25.2MiB live, 99.4MiB allocated
Rules
520×lower-/.f32
516×lower-/.f64
496×lower-*.f64
496×lower-*.f32
308×lower-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01347
01947
19947
087447
Stop Event
iter limit
iter limit
node limit
iter limit
Counts
5 → 72
Calls
Call 1
Inputs
#s(approx (/ (- x y) (+ x y)) (fma.f64 (+.f64 y y) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 y x)) x) #s(literal 1 binary64)))
(fma.f64 (+.f64 y y) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 y x)) x) #s(literal 1 binary64))
(+.f64 y y)
(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 y x)) x)
(+.f64 #s(literal -1 binary64) (/.f64 y x))
Outputs
#s(approx (/ (- x y) (+ x y)) (fma.f64 (+.f64 y y) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 y x)) x) #s(literal 1 binary64)))
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 y y) (+.f64 #s(literal -1 binary64) (/.f64 y x))) x))
(+.f64 (/.f64 (*.f64 (+.f64 y y) (+.f64 #s(literal -1 binary64) (/.f64 y x))) x) #s(literal 1 binary64))
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 (+.f64 y y) (+.f64 #s(literal -1 binary64) (/.f64 y x))) (*.f64 (+.f64 y y) (+.f64 #s(literal -1 binary64) (/.f64 y x)))) (*.f64 x x)) (fma.f64 (+.f64 y y) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 y x)) x) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 y y) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 y x)) x) #s(literal -1 binary64))))
(fma.f64 (+.f64 y y) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 y x)) x) #s(literal 1 binary64))
(fma.f64 (+.f64 y y) (*.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 y x)) x) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (+.f64 #s(literal -1 binary64) (/.f64 y x)) (*.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 y y)) #s(literal 1 binary64))
(fma.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 y x)) x) (+.f64 y y) #s(literal 1 binary64))
(fma.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 y x)) x) (*.f64 (+.f64 y y) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 y y) (+.f64 #s(literal -1 binary64) (/.f64 y x))) x) #s(literal 1 binary64))
(fma.f64 (/.f64 (*.f64 (+.f64 y y) (+.f64 #s(literal -1 binary64) (/.f64 y x))) x) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal 2 binary64) (*.f64 y (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 y x)) x)) #s(literal 1 binary64))
(fma.f64 (*.f64 (+.f64 y y) (+.f64 #s(literal -1 binary64) (/.f64 y x))) (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
(fma.f64 (*.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 y x)) x) #s(literal 2 binary64)) y #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (*.f64 (*.f64 (+.f64 y y) (+.f64 #s(literal -1 binary64) (/.f64 y x))) (*.f64 (+.f64 y y) (+.f64 #s(literal -1 binary64) (/.f64 y x)))) (*.f64 x x)) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 y y) (+.f64 #s(literal -1 binary64) (/.f64 y x))) x))) (fma.f64 (/.f64 (*.f64 (+.f64 y y) (+.f64 #s(literal -1 binary64) (/.f64 y x))) x) (/.f64 (*.f64 (*.f64 (+.f64 y y) (+.f64 #s(literal -1 binary64) (/.f64 y x))) (*.f64 (+.f64 y y) (+.f64 #s(literal -1 binary64) (/.f64 y x)))) (*.f64 x x)) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (+.f64 y y) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 y x)) x) #s(literal -1 binary64)) (+.f64 (/.f64 (*.f64 (*.f64 (+.f64 y y) (+.f64 #s(literal -1 binary64) (/.f64 y x))) (*.f64 (+.f64 y y) (+.f64 #s(literal -1 binary64) (/.f64 y x)))) (*.f64 x x)) #s(literal -1 binary64))))
(/.f64 (fma.f64 (/.f64 (*.f64 (+.f64 y y) (+.f64 #s(literal -1 binary64) (/.f64 y x))) x) (/.f64 (*.f64 (*.f64 (+.f64 y y) (+.f64 #s(literal -1 binary64) (/.f64 y x))) (*.f64 (+.f64 y y) (+.f64 #s(literal -1 binary64) (/.f64 y x)))) (*.f64 x x)) #s(literal 1 binary64)) (+.f64 (/.f64 (*.f64 (*.f64 (+.f64 y y) (+.f64 #s(literal -1 binary64) (/.f64 y x))) (*.f64 (+.f64 y y) (+.f64 #s(literal -1 binary64) (/.f64 y x)))) (*.f64 x x)) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 y y) (+.f64 #s(literal -1 binary64) (/.f64 y x))) x))))
(/.f64 (fma.f64 (/.f64 (*.f64 (+.f64 y y) (+.f64 #s(literal -1 binary64) (/.f64 y x))) x) (/.f64 (*.f64 (*.f64 (+.f64 y y) (+.f64 #s(literal -1 binary64) (/.f64 y x))) (*.f64 (+.f64 y y) (+.f64 #s(literal -1 binary64) (/.f64 y x)))) (*.f64 x x)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 (*.f64 (*.f64 (+.f64 y y) (+.f64 #s(literal -1 binary64) (/.f64 y x))) (*.f64 (+.f64 y y) (+.f64 #s(literal -1 binary64) (/.f64 y x)))) (*.f64 x x)) (/.f64 (*.f64 (+.f64 y y) (+.f64 #s(literal -1 binary64) (/.f64 y x))) x))))
(/.f64 (+.f64 (/.f64 (*.f64 (*.f64 (+.f64 y y) (+.f64 #s(literal -1 binary64) (/.f64 y x))) (*.f64 (+.f64 y y) (+.f64 #s(literal -1 binary64) (/.f64 y x)))) (*.f64 x x)) #s(literal -1 binary64)) (fma.f64 (+.f64 y y) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 y x)) x) #s(literal -1 binary64)))
(/.f64 (neg.f64 (fma.f64 (/.f64 (*.f64 (+.f64 y y) (+.f64 #s(literal -1 binary64) (/.f64 y x))) x) (/.f64 (*.f64 (*.f64 (+.f64 y y) (+.f64 #s(literal -1 binary64) (/.f64 y x))) (*.f64 (+.f64 y y) (+.f64 #s(literal -1 binary64) (/.f64 y x)))) (*.f64 x x)) #s(literal 1 binary64))) (neg.f64 (+.f64 (/.f64 (*.f64 (*.f64 (+.f64 y y) (+.f64 #s(literal -1 binary64) (/.f64 y x))) (*.f64 (+.f64 y y) (+.f64 #s(literal -1 binary64) (/.f64 y x)))) (*.f64 x x)) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 y y) (+.f64 #s(literal -1 binary64) (/.f64 y x))) x)))))
(/.f64 (neg.f64 (+.f64 (/.f64 (*.f64 (*.f64 (+.f64 y y) (+.f64 #s(literal -1 binary64) (/.f64 y x))) (*.f64 (+.f64 y y) (+.f64 #s(literal -1 binary64) (/.f64 y x)))) (*.f64 x x)) #s(literal -1 binary64))) (neg.f64 (fma.f64 (+.f64 y y) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 y x)) x) #s(literal -1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (+.f64 y y) (+.f64 #s(literal -1 binary64) (/.f64 y x))) (*.f64 (+.f64 y y) (+.f64 #s(literal -1 binary64) (/.f64 y x)))) (*.f64 x x))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 y y) (+.f64 #s(literal -1 binary64) (/.f64 y x))) x)))
(*.f64 (fma.f64 (/.f64 (*.f64 (+.f64 y y) (+.f64 #s(literal -1 binary64) (/.f64 y x))) x) (/.f64 (*.f64 (*.f64 (+.f64 y y) (+.f64 #s(literal -1 binary64) (/.f64 y x))) (*.f64 (+.f64 y y) (+.f64 #s(literal -1 binary64) (/.f64 y x)))) (*.f64 x x)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (*.f64 (*.f64 (+.f64 y y) (+.f64 #s(literal -1 binary64) (/.f64 y x))) (*.f64 (+.f64 y y) (+.f64 #s(literal -1 binary64) (/.f64 y x)))) (*.f64 x x)) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 y y) (+.f64 #s(literal -1 binary64) (/.f64 y x))) x)))))
(*.f64 (+.f64 (/.f64 (*.f64 (*.f64 (+.f64 y y) (+.f64 #s(literal -1 binary64) (/.f64 y x))) (*.f64 (+.f64 y y) (+.f64 #s(literal -1 binary64) (/.f64 y x)))) (*.f64 x x)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 y y) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 y x)) x) #s(literal -1 binary64))))
(+.f64 y y)
(-.f64 (/.f64 (*.f64 y y) #s(literal 0 binary64)) (/.f64 (*.f64 y y) #s(literal 0 binary64)))
(/.f64 #s(literal 1 binary64) (+.f64 y y))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y y #s(literal 0 binary64)) (*.f64 (fma.f64 y y #s(literal 0 binary64)) (+.f64 y y))))
(/.f64 (*.f64 (fma.f64 y y #s(literal 0 binary64)) (+.f64 y y)) (fma.f64 y y #s(literal 0 binary64)))
(/.f64 #s(literal 0 binary64) #s(literal 0 binary64))
(/.f64 (neg.f64 (*.f64 (fma.f64 y y #s(literal 0 binary64)) (+.f64 y y))) (neg.f64 (fma.f64 y y #s(literal 0 binary64))))
(*.f64 y #s(literal 2 binary64))
(*.f64 (*.f64 (fma.f64 y y #s(literal 0 binary64)) (+.f64 y y)) (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal 0 binary64))))
(*.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) #s(literal 0 binary64)))
(*.f64 #s(literal 2 binary64) y)
(neg.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 y x)) (neg.f64 x)))
(neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) (neg.f64 (/.f64 y x))) x))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 x (+.f64 #s(literal -1 binary64) (/.f64 y x)))))
(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 y x)) x)
(/.f64 #s(literal 1 binary64) (/.f64 x (+.f64 #s(literal -1 binary64) (/.f64 y x))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 x (+.f64 #s(literal -1 binary64) (/.f64 y x))) #s(literal 1 binary64)))
(/.f64 (+.f64 #s(literal 1 binary64) (neg.f64 (/.f64 y x))) (neg.f64 x))
(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (*.f64 y (*.f64 y y)) (*.f64 x (*.f64 x x)))) (*.f64 x (fma.f64 (/.f64 y x) (-.f64 (/.f64 y x) #s(literal -1 binary64)) #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 y y) (*.f64 x x))) (*.f64 x (-.f64 #s(literal -1 binary64) (/.f64 y x))))
(/.f64 (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 (*.f64 y (*.f64 y y)) (*.f64 x (*.f64 x x)))) #s(literal 1 binary64)) (*.f64 (fma.f64 (/.f64 y x) (-.f64 (/.f64 y x) #s(literal -1 binary64)) #s(literal 1 binary64)) x))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 y y) (*.f64 x x))) #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 y x)) x))
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (neg.f64 (/.f64 y x)))) (neg.f64 (neg.f64 x)))
(/.f64 (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 y x)) #s(literal 1 binary64)) x)
(/.f64 (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 (*.f64 y (*.f64 y y)) (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1 binary64) x)) (fma.f64 (/.f64 y x) (-.f64 (/.f64 y x) #s(literal -1 binary64)) #s(literal 1 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 y y) (*.f64 x x))) (/.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal -1 binary64) (/.f64 y x)))
(pow.f64 (/.f64 x (+.f64 #s(literal -1 binary64) (/.f64 y x))) #s(literal -1 binary64))
(*.f64 (+.f64 #s(literal -1 binary64) (/.f64 y x)) (/.f64 #s(literal 1 binary64) x))
(*.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 y x)) x))
(*.f64 (+.f64 #s(literal 1 binary64) (neg.f64 (/.f64 y x))) (/.f64 #s(literal 1 binary64) (neg.f64 x)))
(*.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal -1 binary64) (/.f64 y x)))
(+.f64 #s(literal -1 binary64) (/.f64 y x))
(+.f64 (/.f64 y x) #s(literal -1 binary64))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (/.f64 y x))) (/.f64 (/.f64 (*.f64 y y) (*.f64 x x)) (-.f64 #s(literal -1 binary64) (/.f64 y x))))
(fma.f64 y (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))
(fma.f64 #s(literal 1 binary64) (/.f64 y x) #s(literal -1 binary64))
(fma.f64 (neg.f64 y) (/.f64 #s(literal 1 binary64) (neg.f64 x)) #s(literal -1 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) x) y #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 y x) (-.f64 (/.f64 y x) #s(literal -1 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 (*.f64 y (*.f64 y y)) (*.f64 x (*.f64 x x))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 y x)) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 y y) (*.f64 x x)))))
(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (*.f64 y (*.f64 y y)) (*.f64 x (*.f64 x x)))) (fma.f64 (/.f64 y x) (-.f64 (/.f64 y x) #s(literal -1 binary64)) #s(literal 1 binary64)))
(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (*.f64 y (*.f64 y y)) (*.f64 x (*.f64 x x)))) (+.f64 (/.f64 (*.f64 y y) (*.f64 x x)) (-.f64 #s(literal 1 binary64) (neg.f64 (/.f64 y x)))))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 y y) (*.f64 x x))) (-.f64 #s(literal -1 binary64) (/.f64 y x)))
(/.f64 (neg.f64 (+.f64 #s(literal -1 binary64) (/.f64 (*.f64 y (*.f64 y y)) (*.f64 x (*.f64 x x))))) (neg.f64 (fma.f64 (/.f64 y x) (-.f64 (/.f64 y x) #s(literal -1 binary64)) #s(literal 1 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 y y) (*.f64 x x)))) (neg.f64 (-.f64 #s(literal -1 binary64) (/.f64 y x))))
(/.f64 (-.f64 (/.f64 (*.f64 y y) (*.f64 x x)) #s(literal 1 binary64)) (-.f64 (/.f64 y x) #s(literal -1 binary64)))
(*.f64 (+.f64 #s(literal -1 binary64) (/.f64 (*.f64 y (*.f64 y y)) (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 y x) (-.f64 (/.f64 y x) #s(literal -1 binary64)) #s(literal 1 binary64))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 y y) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (/.f64 y x))))

eval28.0ms (0.5%)

Memory
-30.5MiB live, 52.0MiB allocated
Compiler

Compiled 3 163 to 256 computations (91.9% saved)

prune16.0ms (0.3%)

Memory
1.4MiB live, 40.3MiB allocated
Pruning

7 alts after pruning (1 fresh and 6 done)

PrunedKeptTotal
New1791180
Fresh000
Picked101
Done066
Total1807187
Accuracy
100.0%
Counts
187 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(/.f64 (-.f64 x y) (+.f64 x y))
56.9%
(/.f64 #s(approx (- x y) (neg.f64 y)) (+.f64 x y))
99.8%
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x y)) (-.f64 x y))
42.7%
#s(approx (/ (- x y) (+ x y)) (fma.f64 (+.f64 y y) (/.f64 (-.f64 y x) (*.f64 x x)) #s(literal 1 binary64)))
56.7%
#s(approx (/ (- x y) (+ x y)) (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 x x) y)))
43.7%
#s(approx (/ (- x y) (+ x y)) #s(literal 1 binary64))
55.8%
#s(approx (/ (- x y) (+ x y)) #s(literal -1 binary64))
Compiler

Compiled 62 to 37 computations (40.3% saved)

simplify361.0ms (6.3%)

Memory
27.4MiB live, 313.9MiB allocated
Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f64 (-.f64 y x) (*.f64 x x))
cost-diff0
(+.f64 y y)
cost-diff0
(fma.f64 (+.f64 y y) (/.f64 (-.f64 y x) (*.f64 x x)) #s(literal 1 binary64))
cost-diff0
#s(approx (/ (- x y) (+ x y)) (fma.f64 (+.f64 y y) (/.f64 (-.f64 y x) (*.f64 x x)) #s(literal 1 binary64)))
Rules
13 528×lower-fma.f32
13 526×lower-fma.f64
2 814×lower-*.f32
2 812×lower-*.f64
1 412×lower-+.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01251
01851
13951
28151
320851
456551
5155851
6445051
7793151
0813549
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
#s(approx (/ (- x y) (+ x y)) (fma.f64 (+.f64 y y) (/.f64 (-.f64 y x) (*.f64 x x)) #s(literal 1 binary64)))
(fma.f64 (+.f64 y y) (/.f64 (-.f64 y x) (*.f64 x x)) #s(literal 1 binary64))
(+.f64 y y)
y
(/.f64 (-.f64 y x) (*.f64 x x))
(-.f64 y x)
x
(*.f64 x x)
#s(literal 1 binary64)
Outputs
#s(approx (/ (- x y) (+ x y)) (fma.f64 (+.f64 y y) (/.f64 (-.f64 y x) (*.f64 x x)) #s(literal 1 binary64)))
(fma.f64 (+.f64 y y) (/.f64 (-.f64 y x) (*.f64 x x)) #s(literal 1 binary64))
(+.f64 y y)
y
(/.f64 (-.f64 y x) (*.f64 x x))
(-.f64 y x)
x
(*.f64 x x)
#s(literal 1 binary64)

localize54.0ms (0.9%)

Memory
-20.9MiB live, 54.3MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0
(*.f64 x x)
accuracy2.5765096842248116
(fma.f64 (+.f64 y y) (/.f64 (-.f64 y x) (*.f64 x x)) #s(literal 1 binary64))
accuracy18.14880442099138
(/.f64 (-.f64 y x) (*.f64 x x))
accuracy35.93956588396426
#s(approx (/ (- x y) (+ x y)) (fma.f64 (+.f64 y y) (/.f64 (-.f64 y x) (*.f64 x x)) #s(literal 1 binary64)))
Samples
44.0ms256×0valid
Compiler

Compiled 41 to 14 computations (65.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 13.0ms
ival-sub: 3.0ms (23.4% of total)
ival-div: 3.0ms (23.4% of total)
ival-add: 3.0ms (23.4% of total)
ival-mult: 3.0ms (23.4% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series6.0ms (0.1%)

Memory
9.2MiB live, 9.2MiB allocated
Counts
5 → 96
Calls
Call 1
Inputs
#s(alt #s(approx (/ (- x y) (+ x y)) (fma.f64 (+.f64 y y) (/.f64 (-.f64 y x) (*.f64 x x)) #s(literal 1 binary64))) (patch #s(approx (/ (- x y) (+ x y)) (fma.f64 (+.f64 y y) (/.f64 (-.f64 y x) (*.f64 x x)) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 (+.f64 y y) (/.f64 (-.f64 y x) (*.f64 x x)) #s(literal 1 binary64)) (patch (fma.f64 (+.f64 y y) (/.f64 (-.f64 y x) (*.f64 x x)) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (+.f64 y y) (patch (+.f64 y y) #<representation binary64>) () ())
#s(alt (/.f64 (-.f64 y x) (*.f64 x x)) (patch (/.f64 (-.f64 y x) (*.f64 x x)) #<representation binary64>) () ())
#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())
Outputs
#s(alt -1 (taylor 0 x) (#s(alt #s(approx (/ (- x y) (+ x y)) (fma.f64 (+.f64 y y) (/.f64 (-.f64 y x) (*.f64 x x)) #s(literal 1 binary64))) (patch #s(approx (/ (- x y) (+ x y)) (fma.f64 (+.f64 y y) (/.f64 (-.f64 y x) (*.f64 x x)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (* 2 (/ x y)) 1) (taylor 0 x) (#s(alt #s(approx (/ (- x y) (+ x y)) (fma.f64 (+.f64 y y) (/.f64 (-.f64 y x) (*.f64 x x)) #s(literal 1 binary64))) (patch #s(approx (/ (- x y) (+ x y)) (fma.f64 (+.f64 y y) (/.f64 (-.f64 y x) (*.f64 x x)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (* x (+ (* -2 (/ x (pow y 2))) (* 2 (/ 1 y)))) 1) (taylor 0 x) (#s(alt #s(approx (/ (- x y) (+ x y)) (fma.f64 (+.f64 y y) (/.f64 (-.f64 y x) (*.f64 x x)) #s(literal 1 binary64))) (patch #s(approx (/ (- x y) (+ x y)) (fma.f64 (+.f64 y y) (/.f64 (-.f64 y x) (*.f64 x x)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (* x (+ (* x (- (* 2 (/ x (pow y 3))) (* 2 (/ 1 (pow y 2))))) (* 2 (/ 1 y)))) 1) (taylor 0 x) (#s(alt #s(approx (/ (- x y) (+ x y)) (fma.f64 (+.f64 y y) (/.f64 (-.f64 y x) (*.f64 x x)) #s(literal 1 binary64))) (patch #s(approx (/ (- x y) (+ x y)) (fma.f64 (+.f64 y y) (/.f64 (-.f64 y x) (*.f64 x x)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt 1 (taylor inf x) (#s(alt #s(approx (/ (- x y) (+ x y)) (fma.f64 (+.f64 y y) (/.f64 (-.f64 y x) (*.f64 x x)) #s(literal 1 binary64))) (patch #s(approx (/ (- x y) (+ x y)) (fma.f64 (+.f64 y y) (/.f64 (-.f64 y x) (*.f64 x x)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (+ 1 (* -1 (/ y x))) (/ y x)) (taylor inf x) (#s(alt #s(approx (/ (- x y) (+ x y)) (fma.f64 (+.f64 y y) (/.f64 (-.f64 y x) (*.f64 x x)) #s(literal 1 binary64))) (patch #s(approx (/ (- x y) (+ x y)) (fma.f64 (+.f64 y y) (/.f64 (-.f64 y x) (*.f64 x x)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (+ 1 (+ (* -1 (/ y x)) (* -1 (/ (* y (- (* -1 y) y)) (pow x 2))))) (/ y x)) (taylor inf x) (#s(alt #s(approx (/ (- x y) (+ x y)) (fma.f64 (+.f64 y y) (/.f64 (-.f64 y x) (*.f64 x x)) #s(literal 1 binary64))) (patch #s(approx (/ (- x y) (+ x y)) (fma.f64 (+.f64 y y) (/.f64 (-.f64 y x) (*.f64 x x)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (+ 1 (+ (* -1 (/ y x)) (/ (* (pow y 2) (- (* -1 y) y)) (pow x 3)))) (+ (/ y x) (/ (* y (- (* -1 y) y)) (pow x 2)))) (taylor inf x) (#s(alt #s(approx (/ (- x y) (+ x y)) (fma.f64 (+.f64 y y) (/.f64 (-.f64 y x) (*.f64 x x)) #s(literal 1 binary64))) (patch #s(approx (/ (- x y) (+ x y)) (fma.f64 (+.f64 y y) (/.f64 (-.f64 y x) (*.f64 x x)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt 1 (taylor -inf x) (#s(alt #s(approx (/ (- x y) (+ x y)) (fma.f64 (+.f64 y y) (/.f64 (-.f64 y x) (*.f64 x x)) #s(literal 1 binary64))) (patch #s(approx (/ (- x y) (+ x y)) (fma.f64 (+.f64 y y) (/.f64 (-.f64 y x) (*.f64 x x)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (+ 1 (* -1 (/ y x))) (/ y x)) (taylor -inf x) (#s(alt #s(approx (/ (- x y) (+ x y)) (fma.f64 (+.f64 y y) (/.f64 (-.f64 y x) (*.f64 x x)) #s(literal 1 binary64))) (patch #s(approx (/ (- x y) (+ x y)) (fma.f64 (+.f64 y y) (/.f64 (-.f64 y x) (*.f64 x x)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
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#s(alt (pow x 2) (taylor -inf x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ())
Calls

24 calls:

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

simplify261.0ms (4.6%)

Memory
39.6MiB live, 420.3MiB allocated
Algorithm
egg-herbie
Rules
14 262×lower-fma.f64
14 262×lower-fma.f32
4 046×lower-*.f64
4 046×lower-*.f32
2 182×lower--.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0168956
1496841
21384744
35048724
08788682
Stop Event
iter limit
node limit
Counts
96 → 96
Calls
Call 1
Inputs
-1
(- (* 2 (/ x y)) 1)
(- (* x (+ (* -2 (/ x (pow y 2))) (* 2 (/ 1 y)))) 1)
(- (* x (+ (* x (- (* 2 (/ x (pow y 3))) (* 2 (/ 1 (pow y 2))))) (* 2 (/ 1 y)))) 1)
1
(- (+ 1 (* -1 (/ y x))) (/ y x))
(- (+ 1 (+ (* -1 (/ y x)) (* -1 (/ (* y (- (* -1 y) y)) (pow x 2))))) (/ y x))
(- (+ 1 (+ (* -1 (/ y x)) (/ (* (pow y 2) (- (* -1 y) y)) (pow x 3)))) (+ (/ y x) (/ (* y (- (* -1 y) y)) (pow x 2))))
1
(- (+ 1 (* -1 (/ y x))) (/ y x))
(+ 1 (* -1 (/ (+ (* -1 (- (* -1 y) y)) (/ (* y (- (* -1 y) y)) x)) x)))
(+ 1 (* -1 (/ (+ (* -1 (- (* -1 y) y)) (* -1 (/ (+ (* -1 (* y (- (* -1 y) y))) (/ (* (pow y 2) (- (* -1 y) y)) x)) x))) x)))
1
(+ 1 (* -2 (/ y x)))
(+ 1 (* y (- (* 2 (/ y (pow x 2))) (* 2 (/ 1 x)))))
(+ 1 (* y (- (* y (+ (* -2 (/ y (pow x 3))) (* 2 (/ 1 (pow x 2))))) (* 2 (/ 1 x)))))
-1
(- (/ x y) (+ 1 (* -1 (/ x y))))
(- (+ (* -1 (/ (* x (- x (* -1 x))) (pow y 2))) (/ x y)) (+ 1 (* -1 (/ x y))))
(- (+ (/ x y) (/ (* (pow x 2) (- x (* -1 x))) (pow y 3))) (+ 1 (+ (* -1 (/ x y)) (/ (* x (- x (* -1 x))) (pow y 2)))))
-1
(- (* -1 (/ (- (* -1 x) x) y)) 1)
(- (* -1 (/ (- (+ (* -1 x) (* -1 (/ (* x (- (* -1 x) x)) y))) x) y)) 1)
(- (* -1 (/ (- (+ (* -1 x) (* -1 (/ (- (* -1 (/ (* (pow x 2) (- (* -1 x) x)) y)) (* -1 (* x (- (* -1 x) x)))) y))) x) y)) 1)
1
(+ 1 (* -2 (/ y x)))
(+ 1 (* y (- (* 2 (/ y (pow x 2))) (* 2 (/ 1 x)))))
(+ 1 (* y (- (* 2 (/ y (pow x 2))) (* 2 (/ 1 x)))))
(* 2 (/ (pow y 2) (pow x 2)))
(* (pow y 2) (- (* 2 (/ 1 (pow x 2))) (* 2 (/ 1 (* x y)))))
(* (pow y 2) (- (+ (* 2 (/ 1 (pow x 2))) (/ 1 (pow y 2))) (/ 2 (* x y))))
(* (pow y 2) (- (+ (* 2 (/ 1 (pow x 2))) (/ 1 (pow y 2))) (/ 2 (* x y))))
(* 2 (/ (pow y 2) (pow x 2)))
(* (pow y 2) (- (* 2 (/ 1 (pow x 2))) (* 2 (/ 1 (* x y)))))
(* (pow y 2) (+ (* -1 (/ (- (* 2 (/ 1 x)) (/ 1 y)) y)) (* 2 (/ 1 (pow x 2)))))
(* (pow y 2) (+ (* -1 (/ (- (* 2 (/ 1 x)) (/ 1 y)) y)) (* 2 (/ 1 (pow x 2)))))
(* 2 (/ (pow y 2) (pow x 2)))
(/ (+ (* -2 (* x y)) (* 2 (pow y 2))) (pow x 2))
(/ (+ (* 2 (pow y 2)) (* x (+ x (* -2 y)))) (pow x 2))
(/ (+ (* 2 (pow y 2)) (* x (+ x (* -2 y)))) (pow x 2))
1
(+ 1 (* -2 (/ y x)))
(+ 1 (+ (* -2 (/ y x)) (* 2 (/ (pow y 2) (pow x 2)))))
(+ 1 (+ (* -2 (/ y x)) (* 2 (/ (pow y 2) (pow x 2)))))
1
(+ 1 (* -2 (/ y x)))
(+ 1 (* -1 (/ (+ (* -2 (/ (pow y 2) x)) (* 2 y)) x)))
(+ 1 (* -1 (/ (+ (* -2 (/ (pow y 2) x)) (* 2 y)) x)))
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(/ -1 x)
(- (/ y (pow x 2)) (/ 1 x))
(- (/ y (pow x 2)) (/ 1 x))
(- (/ y (pow x 2)) (/ 1 x))
(/ y (pow x 2))
(* y (- (/ 1 (pow x 2)) (/ 1 (* x y))))
(* y (- (/ 1 (pow x 2)) (/ 1 (* x y))))
(* y (- (/ 1 (pow x 2)) (/ 1 (* x y))))
(/ y (pow x 2))
(* -1 (* y (- (/ 1 (* x y)) (/ 1 (pow x 2)))))
(* -1 (* y (- (/ 1 (* x y)) (/ 1 (pow x 2)))))
(* -1 (* y (- (/ 1 (* x y)) (/ 1 (pow x 2)))))
(/ y (pow x 2))
(/ (+ y (* -1 x)) (pow x 2))
(/ (+ y (* -1 x)) (pow x 2))
(/ (+ y (* -1 x)) (pow x 2))
(/ -1 x)
(/ (- (/ y x) 1) x)
(/ (- (/ y x) 1) x)
(/ (- (/ y x) 1) x)
(/ -1 x)
(* -1 (/ (+ 1 (* -1 (/ y x))) x))
(* -1 (/ (+ 1 (* -1 (/ y x))) x))
(* -1 (/ (+ 1 (* -1 (/ y x))) x))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
Outputs
-1
#s(literal -1 binary64)
(- (* 2 (/ x y)) 1)
(+.f64 #s(literal -1 binary64) (/.f64 (+.f64 x x) y))
(- (* x (+ (* -2 (/ x (pow y 2))) (* 2 (/ 1 y)))) 1)
(fma.f64 (/.f64 x y) (-.f64 #s(literal 2 binary64) (/.f64 (+.f64 x x) y)) #s(literal -1 binary64))
(- (* x (+ (* x (- (* 2 (/ x (pow y 3))) (* 2 (/ 1 (pow y 2))))) (* 2 (/ 1 y)))) 1)
(+.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (*.f64 x (/.f64 (+.f64 x x) y)) (+.f64 #s(literal -1 binary64) (/.f64 x y)) (+.f64 x x)) y))
1
#s(literal 1 binary64)
(- (+ 1 (* -1 (/ y x))) (/ y x))
(-.f64 #s(literal 1 binary64) (/.f64 (+.f64 y y) x))
(- (+ 1 (+ (* -1 (/ y x)) (* -1 (/ (* y (- (* -1 y) y)) (pow x 2))))) (/ y x))
(fma.f64 (+.f64 y y) (/.f64 (-.f64 y x) (*.f64 x x)) #s(literal 1 binary64))
(- (+ 1 (+ (* -1 (/ y x)) (/ (* (pow y 2) (- (* -1 y) y)) (pow x 3)))) (+ (/ y x) (/ (* y (- (* -1 y) y)) (pow x 2))))
(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 y (neg.f64 (*.f64 (+.f64 y y) (/.f64 (-.f64 y x) (*.f64 x x))))) (+.f64 y y)) x))
1
#s(literal 1 binary64)
(- (+ 1 (* -1 (/ y x))) (/ y x))
(-.f64 #s(literal 1 binary64) (/.f64 (+.f64 y y) x))
(+ 1 (* -1 (/ (+ (* -1 (- (* -1 y) y)) (/ (* y (- (* -1 y) y)) x)) x)))
(fma.f64 (+.f64 y y) (/.f64 (-.f64 y x) (*.f64 x x)) #s(literal 1 binary64))
(+ 1 (* -1 (/ (+ (* -1 (- (* -1 y) y)) (* -1 (/ (+ (* -1 (* y (- (* -1 y) y))) (/ (* (pow y 2) (- (* -1 y) y)) x)) x))) x)))
(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 y (neg.f64 (*.f64 (+.f64 y y) (/.f64 (-.f64 y x) (*.f64 x x))))) (+.f64 y y)) x))
1
#s(literal 1 binary64)
(+ 1 (* -2 (/ y x)))
(-.f64 #s(literal 1 binary64) (/.f64 (+.f64 y y) x))
(+ 1 (* y (- (* 2 (/ y (pow x 2))) (* 2 (/ 1 x)))))
(fma.f64 (+.f64 y y) (/.f64 (-.f64 y x) (*.f64 x x)) #s(literal 1 binary64))
(+ 1 (* y (- (* y (+ (* -2 (/ y (pow x 3))) (* 2 (/ 1 (pow x 2))))) (* 2 (/ 1 x)))))
(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 y (neg.f64 (*.f64 (+.f64 y y) (/.f64 (-.f64 y x) (*.f64 x x))))) (+.f64 y y)) x))
-1
#s(literal -1 binary64)
(- (/ x y) (+ 1 (* -1 (/ x y))))
(+.f64 #s(literal -1 binary64) (/.f64 (+.f64 x x) y))
(- (+ (* -1 (/ (* x (- x (* -1 x))) (pow y 2))) (/ x y)) (+ 1 (* -1 (/ x y))))
(fma.f64 (/.f64 x y) (-.f64 #s(literal 2 binary64) (/.f64 (+.f64 x x) y)) #s(literal -1 binary64))
(- (+ (/ x y) (/ (* (pow x 2) (- x (* -1 x))) (pow y 3))) (+ 1 (+ (* -1 (/ x y)) (/ (* x (- x (* -1 x))) (pow y 2)))))
(+.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (*.f64 x (/.f64 (+.f64 x x) y)) (+.f64 #s(literal -1 binary64) (/.f64 x y)) (+.f64 x x)) y))
-1
#s(literal -1 binary64)
(- (* -1 (/ (- (* -1 x) x) y)) 1)
(+.f64 #s(literal -1 binary64) (/.f64 (+.f64 x x) y))
(- (* -1 (/ (- (+ (* -1 x) (* -1 (/ (* x (- (* -1 x) x)) y))) x) y)) 1)
(fma.f64 (/.f64 x y) (-.f64 #s(literal 2 binary64) (/.f64 (+.f64 x x) y)) #s(literal -1 binary64))
(- (* -1 (/ (- (+ (* -1 x) (* -1 (/ (- (* -1 (/ (* (pow x 2) (- (* -1 x) x)) y)) (* -1 (* x (- (* -1 x) x)))) y))) x) y)) 1)
(+.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (*.f64 x (/.f64 (+.f64 x x) y)) (+.f64 #s(literal -1 binary64) (/.f64 x y)) (+.f64 x x)) y))
1
#s(literal 1 binary64)
(+ 1 (* -2 (/ y x)))
(-.f64 #s(literal 1 binary64) (/.f64 (+.f64 y y) x))
(+ 1 (* y (- (* 2 (/ y (pow x 2))) (* 2 (/ 1 x)))))
(fma.f64 (+.f64 y y) (/.f64 (-.f64 y x) (*.f64 x x)) #s(literal 1 binary64))
(+ 1 (* y (- (* 2 (/ y (pow x 2))) (* 2 (/ 1 x)))))
(fma.f64 (+.f64 y y) (/.f64 (-.f64 y x) (*.f64 x x)) #s(literal 1 binary64))
(* 2 (/ (pow y 2) (pow x 2)))
(/.f64 (*.f64 y (+.f64 y y)) (*.f64 x x))
(* (pow y 2) (- (* 2 (/ 1 (pow x 2))) (* 2 (/ 1 (* x y)))))
(*.f64 (+.f64 y y) (/.f64 (-.f64 y x) (*.f64 x x)))
(* (pow y 2) (- (+ (* 2 (/ 1 (pow x 2))) (/ 1 (pow y 2))) (/ 2 (* x y))))
(fma.f64 (+.f64 y y) (/.f64 (-.f64 y x) (*.f64 x x)) #s(literal 1 binary64))
(* (pow y 2) (- (+ (* 2 (/ 1 (pow x 2))) (/ 1 (pow y 2))) (/ 2 (* x y))))
(fma.f64 (+.f64 y y) (/.f64 (-.f64 y x) (*.f64 x x)) #s(literal 1 binary64))
(* 2 (/ (pow y 2) (pow x 2)))
(/.f64 (*.f64 y (+.f64 y y)) (*.f64 x x))
(* (pow y 2) (- (* 2 (/ 1 (pow x 2))) (* 2 (/ 1 (* x y)))))
(*.f64 (+.f64 y y) (/.f64 (-.f64 y x) (*.f64 x x)))
(* (pow y 2) (+ (* -1 (/ (- (* 2 (/ 1 x)) (/ 1 y)) y)) (* 2 (/ 1 (pow x 2)))))
(fma.f64 (+.f64 y y) (/.f64 (-.f64 y x) (*.f64 x x)) #s(literal 1 binary64))
(* (pow y 2) (+ (* -1 (/ (- (* 2 (/ 1 x)) (/ 1 y)) y)) (* 2 (/ 1 (pow x 2)))))
(fma.f64 (+.f64 y y) (/.f64 (-.f64 y x) (*.f64 x x)) #s(literal 1 binary64))
(* 2 (/ (pow y 2) (pow x 2)))
(/.f64 (*.f64 y (+.f64 y y)) (*.f64 x x))
(/ (+ (* -2 (* x y)) (* 2 (pow y 2))) (pow x 2))
(/.f64 (*.f64 y (fma.f64 x #s(literal -2 binary64) (+.f64 y y))) (*.f64 x x))
(/ (+ (* 2 (pow y 2)) (* x (+ x (* -2 y)))) (pow x 2))
(/.f64 (fma.f64 x (-.f64 x (+.f64 y y)) (*.f64 y (+.f64 y y))) (*.f64 x x))
(/ (+ (* 2 (pow y 2)) (* x (+ x (* -2 y)))) (pow x 2))
(/.f64 (fma.f64 x (-.f64 x (+.f64 y y)) (*.f64 y (+.f64 y y))) (*.f64 x x))
1
#s(literal 1 binary64)
(+ 1 (* -2 (/ y x)))
(-.f64 #s(literal 1 binary64) (/.f64 (+.f64 y y) x))
(+ 1 (+ (* -2 (/ y x)) (* 2 (/ (pow y 2) (pow x 2)))))
(fma.f64 (+.f64 y y) (/.f64 (-.f64 y x) (*.f64 x x)) #s(literal 1 binary64))
(+ 1 (+ (* -2 (/ y x)) (* 2 (/ (pow y 2) (pow x 2)))))
(fma.f64 (+.f64 y y) (/.f64 (-.f64 y x) (*.f64 x x)) #s(literal 1 binary64))
1
#s(literal 1 binary64)
(+ 1 (* -2 (/ y x)))
(-.f64 #s(literal 1 binary64) (/.f64 (+.f64 y y) x))
(+ 1 (* -1 (/ (+ (* -2 (/ (pow y 2) x)) (* 2 y)) x)))
(fma.f64 (+.f64 y y) (/.f64 (-.f64 y x) (*.f64 x x)) #s(literal 1 binary64))
(+ 1 (* -1 (/ (+ (* -2 (/ (pow y 2) x)) (* 2 y)) x)))
(fma.f64 (+.f64 y y) (/.f64 (-.f64 y x) (*.f64 x x)) #s(literal 1 binary64))
(* 2 y)
(+.f64 y y)
(* 2 y)
(+.f64 y y)
(* 2 y)
(+.f64 y y)
(* 2 y)
(+.f64 y y)
(* 2 y)
(+.f64 y y)
(* 2 y)
(+.f64 y y)
(* 2 y)
(+.f64 y y)
(* 2 y)
(+.f64 y y)
(* 2 y)
(+.f64 y y)
(* 2 y)
(+.f64 y y)
(* 2 y)
(+.f64 y y)
(* 2 y)
(+.f64 y y)
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(- (/ y (pow x 2)) (/ 1 x))
(/.f64 (-.f64 y x) (*.f64 x x))
(- (/ y (pow x 2)) (/ 1 x))
(/.f64 (-.f64 y x) (*.f64 x x))
(- (/ y (pow x 2)) (/ 1 x))
(/.f64 (-.f64 y x) (*.f64 x x))
(/ y (pow x 2))
(/.f64 y (*.f64 x x))
(* y (- (/ 1 (pow x 2)) (/ 1 (* x y))))
(/.f64 (-.f64 y x) (*.f64 x x))
(* y (- (/ 1 (pow x 2)) (/ 1 (* x y))))
(/.f64 (-.f64 y x) (*.f64 x x))
(* y (- (/ 1 (pow x 2)) (/ 1 (* x y))))
(/.f64 (-.f64 y x) (*.f64 x x))
(/ y (pow x 2))
(/.f64 y (*.f64 x x))
(* -1 (* y (- (/ 1 (* x y)) (/ 1 (pow x 2)))))
(/.f64 (-.f64 y x) (*.f64 x x))
(* -1 (* y (- (/ 1 (* x y)) (/ 1 (pow x 2)))))
(/.f64 (-.f64 y x) (*.f64 x x))
(* -1 (* y (- (/ 1 (* x y)) (/ 1 (pow x 2)))))
(/.f64 (-.f64 y x) (*.f64 x x))
(/ y (pow x 2))
(/.f64 y (*.f64 x x))
(/ (+ y (* -1 x)) (pow x 2))
(/.f64 (-.f64 y x) (*.f64 x x))
(/ (+ y (* -1 x)) (pow x 2))
(/.f64 (-.f64 y x) (*.f64 x x))
(/ (+ y (* -1 x)) (pow x 2))
(/.f64 (-.f64 y x) (*.f64 x x))
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(/ (- (/ y x) 1) x)
(/.f64 (-.f64 y x) (*.f64 x x))
(/ (- (/ y x) 1) x)
(/.f64 (-.f64 y x) (*.f64 x x))
(/ (- (/ y x) 1) x)
(/.f64 (-.f64 y x) (*.f64 x x))
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(* -1 (/ (+ 1 (* -1 (/ y x))) x))
(/.f64 (-.f64 y x) (*.f64 x x))
(* -1 (/ (+ 1 (* -1 (/ y x))) x))
(/.f64 (-.f64 y x) (*.f64 x x))
(* -1 (/ (+ 1 (* -1 (/ y x))) x))
(/.f64 (-.f64 y x) (*.f64 x x))
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)

rewrite158.0ms (2.8%)

Memory
-49.4MiB live, 109.0MiB allocated
Rules
524×lower-/.f32
522×lower-/.f64
472×lower-*.f32
470×lower-*.f64
320×lower-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01245
01845
19645
086845
Stop Event
iter limit
iter limit
node limit
iter limit
Counts
5 → 70
Calls
Call 1
Inputs
#s(approx (/ (- x y) (+ x y)) (fma.f64 (+.f64 y y) (/.f64 (-.f64 y x) (*.f64 x x)) #s(literal 1 binary64)))
(fma.f64 (+.f64 y y) (/.f64 (-.f64 y x) (*.f64 x x)) #s(literal 1 binary64))
(+.f64 y y)
(/.f64 (-.f64 y x) (*.f64 x x))
(*.f64 x x)
Outputs
#s(approx (/ (- x y) (+ x y)) (fma.f64 (+.f64 y y) (/.f64 (-.f64 y x) (*.f64 x x)) #s(literal 1 binary64)))
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 y y) (-.f64 y x)) (*.f64 x x)))
(+.f64 (/.f64 (*.f64 (+.f64 y y) (-.f64 y x)) (*.f64 x x)) #s(literal 1 binary64))
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 (+.f64 y y) (-.f64 y x)) (*.f64 (+.f64 y y) (-.f64 y x))) (*.f64 (*.f64 x x) (*.f64 x x))) (fma.f64 (+.f64 y y) (/.f64 (-.f64 y x) (*.f64 x x)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 y y) (/.f64 (-.f64 y x) (*.f64 x x)) #s(literal -1 binary64))))
(fma.f64 (+.f64 y y) (/.f64 (-.f64 y x) (*.f64 x x)) #s(literal 1 binary64))
(fma.f64 (+.f64 y y) (*.f64 (/.f64 (-.f64 y x) (*.f64 x x)) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (-.f64 y x) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 y y)) #s(literal 1 binary64))
(fma.f64 (/.f64 (-.f64 y x) (*.f64 x x)) (+.f64 y y) #s(literal 1 binary64))
(fma.f64 (/.f64 (-.f64 y x) (*.f64 x x)) (*.f64 (+.f64 y y) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 y y) (-.f64 y x)) (*.f64 x x)) #s(literal 1 binary64))
(fma.f64 (/.f64 (*.f64 (+.f64 y y) (-.f64 y x)) (*.f64 x x)) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal 2 binary64) (*.f64 y (/.f64 (-.f64 y x) (*.f64 x x))) #s(literal 1 binary64))
(fma.f64 (*.f64 (+.f64 y y) (-.f64 y x)) (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64))
(fma.f64 (/.f64 (+.f64 y y) x) (/.f64 (-.f64 y x) x) #s(literal 1 binary64))
(fma.f64 (*.f64 (/.f64 (-.f64 y x) (*.f64 x x)) #s(literal 2 binary64)) y #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (*.f64 (*.f64 (+.f64 y y) (-.f64 y x)) (*.f64 (+.f64 y y) (-.f64 y x))) (*.f64 (*.f64 x x) (*.f64 x x))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 y y) (-.f64 y x)) (*.f64 x x)))) (fma.f64 (/.f64 (*.f64 (+.f64 y y) (-.f64 y x)) (*.f64 x x)) (/.f64 (*.f64 (*.f64 (+.f64 y y) (-.f64 y x)) (*.f64 (+.f64 y y) (-.f64 y x))) (*.f64 (*.f64 x x) (*.f64 x x))) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (+.f64 y y) (/.f64 (-.f64 y x) (*.f64 x x)) #s(literal -1 binary64)) (+.f64 (/.f64 (*.f64 (*.f64 (+.f64 y y) (-.f64 y x)) (*.f64 (+.f64 y y) (-.f64 y x))) (*.f64 (*.f64 x x) (*.f64 x x))) #s(literal -1 binary64))))
(/.f64 (fma.f64 (/.f64 (*.f64 (+.f64 y y) (-.f64 y x)) (*.f64 x x)) (/.f64 (*.f64 (*.f64 (+.f64 y y) (-.f64 y x)) (*.f64 (+.f64 y y) (-.f64 y x))) (*.f64 (*.f64 x x) (*.f64 x x))) #s(literal 1 binary64)) (+.f64 (/.f64 (*.f64 (*.f64 (+.f64 y y) (-.f64 y x)) (*.f64 (+.f64 y y) (-.f64 y x))) (*.f64 (*.f64 x x) (*.f64 x x))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 y y) (-.f64 y x)) (*.f64 x x)))))
(/.f64 (fma.f64 (/.f64 (*.f64 (+.f64 y y) (-.f64 y x)) (*.f64 x x)) (/.f64 (*.f64 (*.f64 (+.f64 y y) (-.f64 y x)) (*.f64 (+.f64 y y) (-.f64 y x))) (*.f64 (*.f64 x x) (*.f64 x x))) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 (*.f64 (*.f64 (+.f64 y y) (-.f64 y x)) (*.f64 (+.f64 y y) (-.f64 y x))) (*.f64 (*.f64 x x) (*.f64 x x))) (/.f64 (*.f64 (+.f64 y y) (-.f64 y x)) (*.f64 x x)))))
(/.f64 (+.f64 (/.f64 (*.f64 (*.f64 (+.f64 y y) (-.f64 y x)) (*.f64 (+.f64 y y) (-.f64 y x))) (*.f64 (*.f64 x x) (*.f64 x x))) #s(literal -1 binary64)) (fma.f64 (+.f64 y y) (/.f64 (-.f64 y x) (*.f64 x x)) #s(literal -1 binary64)))
(/.f64 (neg.f64 (fma.f64 (/.f64 (*.f64 (+.f64 y y) (-.f64 y x)) (*.f64 x x)) (/.f64 (*.f64 (*.f64 (+.f64 y y) (-.f64 y x)) (*.f64 (+.f64 y y) (-.f64 y x))) (*.f64 (*.f64 x x) (*.f64 x x))) #s(literal 1 binary64))) (neg.f64 (+.f64 (/.f64 (*.f64 (*.f64 (+.f64 y y) (-.f64 y x)) (*.f64 (+.f64 y y) (-.f64 y x))) (*.f64 (*.f64 x x) (*.f64 x x))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 y y) (-.f64 y x)) (*.f64 x x))))))
(/.f64 (neg.f64 (+.f64 (/.f64 (*.f64 (*.f64 (+.f64 y y) (-.f64 y x)) (*.f64 (+.f64 y y) (-.f64 y x))) (*.f64 (*.f64 x x) (*.f64 x x))) #s(literal -1 binary64))) (neg.f64 (fma.f64 (+.f64 y y) (/.f64 (-.f64 y x) (*.f64 x x)) #s(literal -1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (+.f64 y y) (-.f64 y x)) (*.f64 (+.f64 y y) (-.f64 y x))) (*.f64 (*.f64 x x) (*.f64 x x)))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 y y) (-.f64 y x)) (*.f64 x x))))
(*.f64 (fma.f64 (/.f64 (*.f64 (+.f64 y y) (-.f64 y x)) (*.f64 x x)) (/.f64 (*.f64 (*.f64 (+.f64 y y) (-.f64 y x)) (*.f64 (+.f64 y y) (-.f64 y x))) (*.f64 (*.f64 x x) (*.f64 x x))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (*.f64 (*.f64 (+.f64 y y) (-.f64 y x)) (*.f64 (+.f64 y y) (-.f64 y x))) (*.f64 (*.f64 x x) (*.f64 x x))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 y y) (-.f64 y x)) (*.f64 x x))))))
(*.f64 (+.f64 (/.f64 (*.f64 (*.f64 (+.f64 y y) (-.f64 y x)) (*.f64 (+.f64 y y) (-.f64 y x))) (*.f64 (*.f64 x x) (*.f64 x x))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 y y) (/.f64 (-.f64 y x) (*.f64 x x)) #s(literal -1 binary64))))
(+.f64 y y)
(-.f64 (/.f64 (*.f64 y y) #s(literal 0 binary64)) (/.f64 (*.f64 y y) #s(literal 0 binary64)))
(/.f64 #s(literal 1 binary64) (+.f64 y y))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y y #s(literal 0 binary64)) (*.f64 (fma.f64 y y #s(literal 0 binary64)) (+.f64 y y))))
(/.f64 (*.f64 (fma.f64 y y #s(literal 0 binary64)) (+.f64 y y)) (fma.f64 y y #s(literal 0 binary64)))
(/.f64 #s(literal 0 binary64) #s(literal 0 binary64))
(/.f64 (neg.f64 (*.f64 (fma.f64 y y #s(literal 0 binary64)) (+.f64 y y))) (neg.f64 (fma.f64 y y #s(literal 0 binary64))))
(*.f64 y #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) y)
(*.f64 (*.f64 (fma.f64 y y #s(literal 0 binary64)) (+.f64 y y)) (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal 0 binary64))))
(*.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) #s(literal 0 binary64)))
(+.f64 (/.f64 y (*.f64 x x)) (neg.f64 (/.f64 x (*.f64 x x))))
(-.f64 (/.f64 y (*.f64 x x)) (/.f64 x (*.f64 x x)))
(fma.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x x)) (neg.f64 (/.f64 x (*.f64 x x))))
(neg.f64 (/.f64 (-.f64 y x) (neg.f64 (*.f64 x x))))
(neg.f64 (/.f64 (neg.f64 (-.f64 y x)) (*.f64 x x)))
(/.f64 (-.f64 y x) (*.f64 x x))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) (-.f64 y x)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 x x) (-.f64 y x)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 (-.f64 y x) x)))
(/.f64 (neg.f64 (-.f64 y x)) (neg.f64 (*.f64 x x)))
(/.f64 (*.f64 (fma.f64 x (+.f64 x y) (*.f64 y y)) (-.f64 y x)) (*.f64 (*.f64 x x) (fma.f64 x (+.f64 x y) (*.f64 y y))))
(/.f64 (*.f64 (+.f64 x y) (-.f64 y x)) (*.f64 (*.f64 x x) (+.f64 x y)))
(/.f64 (/.f64 (-.f64 y x) x) x)
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 x x) (-.f64 y x))))
(/.f64 (-.f64 (*.f64 y (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x x) (*.f64 x x)))
(/.f64 (*.f64 (*.f64 (fma.f64 x (+.f64 x y) (*.f64 y y)) (-.f64 y x)) #s(literal 1 binary64)) (*.f64 (fma.f64 x (+.f64 x y) (*.f64 y y)) (*.f64 x x)))
(/.f64 (*.f64 (*.f64 (+.f64 x y) (-.f64 y x)) #s(literal 1 binary64)) (*.f64 (+.f64 x y) (*.f64 x x)))
(/.f64 (neg.f64 (neg.f64 (-.f64 y x))) (neg.f64 (neg.f64 (*.f64 x x))))
(/.f64 (neg.f64 (/.f64 (-.f64 y x) x)) (neg.f64 x))
(/.f64 (-.f64 (pow.f64 (/.f64 y (*.f64 x x)) #s(literal 3 binary64)) (pow.f64 (/.f64 x (*.f64 x x)) #s(literal 3 binary64))) (fma.f64 (/.f64 y (*.f64 x x)) (/.f64 y (*.f64 x x)) (fma.f64 (/.f64 x (*.f64 x x)) (/.f64 x (*.f64 x x)) (*.f64 (/.f64 y (*.f64 x x)) (/.f64 x (*.f64 x x))))))
(/.f64 (-.f64 (*.f64 (/.f64 y (*.f64 x x)) (/.f64 y (*.f64 x x))) (*.f64 (/.f64 x (*.f64 x x)) (/.f64 x (*.f64 x x)))) (+.f64 (/.f64 y (*.f64 x x)) (/.f64 x (*.f64 x x))))
(/.f64 (*.f64 (-.f64 y x) #s(literal 1 binary64)) (*.f64 x x))
(/.f64 (*.f64 (*.f64 (fma.f64 x (+.f64 x y) (*.f64 y y)) (-.f64 y x)) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (fma.f64 x (+.f64 x y) (*.f64 y y)))
(/.f64 (*.f64 (*.f64 (+.f64 x y) (-.f64 y x)) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (+.f64 x y))
(pow.f64 (/.f64 (*.f64 x x) (-.f64 y x)) #s(literal -1 binary64))
(*.f64 (-.f64 y x) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(*.f64 #s(literal 1 binary64) (/.f64 (-.f64 y x) (*.f64 x x)))
(*.f64 (neg.f64 (-.f64 y x)) (/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 x x))))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 y x))
(*.f64 (/.f64 (-.f64 y x) x) (/.f64 #s(literal 1 binary64) x))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
(pow.f64 x #s(literal 2 binary64))
(*.f64 x x)
(*.f64 (pow.f64 x #s(literal 1 binary64)) (pow.f64 x #s(literal 1 binary64)))

eval41.0ms (0.7%)

Memory
-1.6MiB live, 37.8MiB allocated
Compiler

Compiled 2 913 to 237 computations (91.9% saved)

prune18.0ms (0.3%)

Memory
10.7MiB live, 48.7MiB allocated
Pruning

7 alts after pruning (0 fresh and 7 done)

PrunedKeptTotal
New1660166
Fresh000
Picked011
Done066
Total1667173
Accuracy
100.0%
Counts
173 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(/.f64 (-.f64 x y) (+.f64 x y))
56.9%
(/.f64 #s(approx (- x y) (neg.f64 y)) (+.f64 x y))
99.8%
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x y)) (-.f64 x y))
42.7%
#s(approx (/ (- x y) (+ x y)) (fma.f64 (+.f64 y y) (/.f64 (-.f64 y x) (*.f64 x x)) #s(literal 1 binary64)))
56.7%
#s(approx (/ (- x y) (+ x y)) (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 x x) y)))
43.7%
#s(approx (/ (- x y) (+ x y)) #s(literal 1 binary64))
55.8%
#s(approx (/ (- x y) (+ x y)) #s(literal -1 binary64))
Compiler

Compiled 138 to 67 computations (51.4% saved)

regimes11.0ms (0.2%)

Memory
-19.1MiB live, 19.4MiB allocated
Counts
9 → 1
Calls
Call 1
Inputs
#s(approx (/ (- x y) (+ x y)) #s(literal -1 binary64))
#s(approx (/ (- x y) (+ x y)) #s(literal 1 binary64))
(/.f64 #s(approx (- x y) (neg.f64 y)) (+.f64 x y))
#s(approx (/ (- x y) (+ x y)) (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 x x) y)))
(/.f64 (-.f64 x y) (+.f64 x y))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x y)) (-.f64 x y))
#s(approx (/ (- x y) (+ x y)) (fma.f64 (+.f64 y y) (/.f64 (-.f64 y x) (*.f64 x x)) #s(literal 1 binary64)))
#s(approx (/ (- x y) (+ x y)) (fma.f64 (+.f64 y y) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 y x)) x) #s(literal 1 binary64)))
#s(approx (/ (- x y) (+ x y)) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (fma.f64 y (/.f64 #s(literal -2 binary64) x) #s(literal 2 binary64))) x)))
Outputs
(/.f64 (-.f64 x y) (+.f64 x y))
Calls

3 calls:

4.0ms
(/.f64 (-.f64 x y) (+.f64 x y))
3.0ms
y
3.0ms
x
Results
AccuracySegmentsBranch
100.0%1x
100.0%1y
100.0%1(/.f64 (-.f64 x y) (+.f64 x y))
Compiler

Compiled 15 to 9 computations (40% saved)

regimes6.0ms (0.1%)

Memory
13.0MiB live, 13.0MiB allocated
Counts
4 → 2
Calls
Call 1
Inputs
#s(approx (/ (- x y) (+ x y)) #s(literal -1 binary64))
#s(approx (/ (- x y) (+ x y)) #s(literal 1 binary64))
(/.f64 #s(approx (- x y) (neg.f64 y)) (+.f64 x y))
#s(approx (/ (- x y) (+ x y)) (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 x x) y)))
Outputs
#s(approx (/ (- x y) (+ x y)) (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 x x) y)))
#s(approx (/ (- x y) (+ x y)) #s(literal 1 binary64))
Calls

3 calls:

2.0ms
x
2.0ms
y
2.0ms
(/.f64 (-.f64 x y) (+.f64 x y))
Results
AccuracySegmentsBranch
77.8%3x
75.9%3y
98.4%2(/.f64 (-.f64 x y) (+.f64 x y))
Compiler

Compiled 15 to 9 computations (40% saved)

regimes2.0ms (0%)

Memory
3.6MiB live, 3.6MiB allocated
Counts
3 → 2
Calls
Call 1
Inputs
#s(approx (/ (- x y) (+ x y)) #s(literal -1 binary64))
#s(approx (/ (- x y) (+ x y)) #s(literal 1 binary64))
(/.f64 #s(approx (- x y) (neg.f64 y)) (+.f64 x y))
Outputs
(/.f64 #s(approx (- x y) (neg.f64 y)) (+.f64 x y))
#s(approx (/ (- x y) (+ x y)) #s(literal 1 binary64))
Calls

1 calls:

1.0ms
(/.f64 (-.f64 x y) (+.f64 x y))
Results
AccuracySegmentsBranch
98.0%2(/.f64 (-.f64 x y) (+.f64 x y))
Compiler

Compiled 9 to 5 computations (44.4% saved)

regimes1.0ms (0%)

Memory
2.8MiB live, 2.8MiB allocated
Counts
2 → 2
Calls
Call 1
Inputs
#s(approx (/ (- x y) (+ x y)) #s(literal -1 binary64))
#s(approx (/ (- x y) (+ x y)) #s(literal 1 binary64))
Outputs
#s(approx (/ (- x y) (+ x y)) #s(literal -1 binary64))
#s(approx (/ (- x y) (+ x y)) #s(literal 1 binary64))
Calls

1 calls:

1.0ms
(/.f64 (-.f64 x y) (+.f64 x y))
Results
AccuracySegmentsBranch
98.0%2(/.f64 (-.f64 x y) (+.f64 x y))
Compiler

Compiled 9 to 5 computations (44.4% saved)

regimes48.0ms (0.8%)

Memory
-31.7MiB live, 8.3MiB allocated
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts
1 → 1
Calls
Call 1
Inputs
#s(approx (/ (- x y) (+ x y)) #s(literal -1 binary64))
Outputs
#s(approx (/ (- x y) (+ x y)) #s(literal -1 binary64))
Calls

3 calls:

45.0ms
y
1.0ms
x
1.0ms
(/.f64 (-.f64 x y) (+.f64 x y))
Results
AccuracySegmentsBranch
55.8%1y
55.8%1x
55.8%1(/.f64 (-.f64 x y) (+.f64 x y))
Compiler

Compiled 15 to 9 computations (40% saved)

bsearch0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-0.07048979427363986
1.0
Compiler

Compiled 12 to 10 computations (16.7% saved)

bsearch0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-0.07048979427363986
1.0
Compiler

Compiled 12 to 10 computations (16.7% saved)

bsearch13.0ms (0.2%)

Memory
20.7MiB live, 20.7MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
12.0ms
-0.07048979427363986
1.0
Samples
4.0ms240×0valid
Compiler

Compiled 162 to 130 computations (19.8% 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 (0.2%)

Memory
-17.0MiB live, 19.6MiB allocated
Algorithm
egg-herbie
Rules
+-commutative_binary64
sub-neg_binary64
*-commutative_binary64
1-exp_binary64
neg-sub0_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
026107
134107
237107
338107
Stop Event
saturated
Calls
Call 1
Inputs
(/.f64 (-.f64 x y) (+.f64 x y))
(if (<=.f64 (/.f64 (-.f64 x y) (+.f64 x y)) #s(literal -3602879701896397/72057594037927936 binary64)) #s(approx (/ (- x y) (+ x y)) (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 x x) y))) #s(approx (/ (- x y) (+ x y)) #s(literal 1 binary64)))
(if (<=.f64 (/.f64 (-.f64 x y) (+.f64 x y)) #s(literal -3602879701896397/72057594037927936 binary64)) (/.f64 #s(approx (- x y) (neg.f64 y)) (+.f64 x y)) #s(approx (/ (- x y) (+ x y)) #s(literal 1 binary64)))
(if (<=.f64 (/.f64 (-.f64 x y) (+.f64 x y)) #s(literal -202402253307311/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(approx (/ (- x y) (+ x y)) #s(literal -1 binary64)) #s(approx (/ (- x y) (+ x y)) #s(literal 1 binary64)))
#s(approx (/ (- x y) (+ x y)) #s(literal -1 binary64))
Outputs
(/.f64 (-.f64 x y) (+.f64 x y))
(if (<=.f64 (/.f64 (-.f64 x y) (+.f64 x y)) #s(literal -3602879701896397/72057594037927936 binary64)) #s(approx (/ (- x y) (+ x y)) (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 x x) y))) #s(approx (/ (- x y) (+ x y)) #s(literal 1 binary64)))
(if (<=.f64 (/.f64 (-.f64 x y) (+.f64 x y)) #s(literal -3602879701896397/72057594037927936 binary64)) (/.f64 #s(approx (- x y) (neg.f64 y)) (+.f64 x y)) #s(approx (/ (- x y) (+ x y)) #s(literal 1 binary64)))
(if (<=.f64 (/.f64 (-.f64 x y) (+.f64 x y)) #s(literal -202402253307311/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(approx (/ (- x y) (+ x y)) #s(literal -1 binary64)) #s(approx (/ (- x y) (+ x y)) #s(literal 1 binary64)))
#s(approx (/ (- x y) (+ x y)) #s(literal -1 binary64))

soundness352.0ms (6.2%)

Memory
19.0MiB live, 254.4MiB allocated
Rules
11 876×lower-fma.f64
11 876×lower-fma.f32
3 410×lower-*.f64
3 410×lower-*.f32
2 360×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0142462
1439432
21229387
34744375
08368351
Stop Event
done
iter limit
node limit
Compiler

Compiled 96 to 45 computations (53.1% saved)

preprocess41.0ms (0.7%)

Memory
-8.7MiB live, 109.7MiB allocated
Compiler

Compiled 172 to 60 computations (65.1% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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