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

Time bar (total: 6.2s)

start0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

analyze23.0ms (0.4%)

Memory
-12.6MiB live, 26.3MiB 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 (29.2%)

Memory
-3.5MiB live, 510.8MiB allocated
Samples
1.2s8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 441.0ms
ival-div: 205.0ms (46.5% of total)
ival-sub: 187.0ms (42.4% of total)
ival-add: 39.0ms (8.9% of total)
ival-true: 6.0ms (1.4% of total)
ival-assert: 3.0ms (0.7% of total)
Bogosity

explain66.0ms (1.1%)

Memory
3.6MiB live, 41.3MiB 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
40.0ms512×0valid
Compiler

Compiled 41 to 19 computations (53.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 9.0ms
ival-sub: 3.0ms (32.6% of total)
ival-div: 3.0ms (32.6% of total)
ival-add: 3.0ms (32.6% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess59.0ms (1%)

Memory
21.8MiB live, 21.8MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01541
15037
212235
332735
484335
5137335
6142235
7146235
8150535
9151735
057
087
1147
2217
3337
4607
51047
61717
72827
84757
98087
108177
118557
128847
08847
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))
(/.f64 (-.f64 x y) (+.f64 y x))
Compiler

Compiled 7 to 5 computations (28.6% saved)

eval0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated
Compiler

Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.9%
(/.f64 (-.f64 x y) (+.f64 x y))
Compiler

Compiled 7 to 5 computations (28.6% saved)

simplify226.0ms (3.7%)

Memory
-23.3MiB live, 12.8MiB 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))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0515
0815
11415
22115
33315
46015
510415
617115
728215
847515
980815
1081715
1185515
1288415
088415
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 (-.f64 x y) (+.f64 y x))
(-.f64 x y)
x
y
(+.f64 x y)
(+.f64 y x)

localize14.0ms (0.2%)

Memory
20.2MiB live, 20.2MiB allocated
Localize:

Found 3 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(-.f64 x y)
accuracy0.0
(+.f64 x y)
accuracy0.041347509768442016
(/.f64 (-.f64 x y) (+.f64 x y))
Samples
10.0ms256×0valid
Compiler

Compiled 17 to 7 computations (58.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 4.0ms
ival-div: 2.0ms (45.5% of total)
ival-sub: 1.0ms (22.7% of total)
ival-add: 1.0ms (22.7% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series4.0ms (0.1%)

Memory
6.4MiB live, 6.4MiB allocated
Counts
3 → 33
Calls
Call 1
Inputs
(/.f64 (-.f64 x y) (+.f64 x y))
(-.f64 x y)
(+.f64 x y)
Outputs
-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 y)
(- x y)
y
(+ x y)
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))))
x
(* x (+ 1 (* -1 (/ y x))))
(* x (+ 1 (/ 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 (* x (- (/ y x) 1)))
(* -1 (* x (- (* -1 (/ y 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)))))
(+ x (* -1 y))
(- (/ 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)))))
(* y (- (/ x y) 1))
(* y (+ 1 (/ x y)))
(- (* -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 (* -1 (/ x y)))))
(* -1 (* y (- (* -1 (/ x y)) 1)))
Calls

6 calls:

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

simplify582.0ms (9.4%)

Memory
-9.7MiB live, 118.1MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0142362
1439335
21238290
34833278
08359255
Stop Event
iter limit
node limit
Counts
33 → 31
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 y)
(- x y)
y
(+ x y)
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))))
x
(* x (+ 1 (* -1 (/ y x))))
(* x (+ 1 (/ 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 (* x (- (/ y x) 1)))
(* -1 (* x (- (* -1 (/ y 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)))))
(+ x (* -1 y))
(- (/ 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)))))
(* y (- (/ x y) 1))
(* y (+ 1 (/ x y)))
(- (* -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 (* -1 (/ x y)))))
(* -1 (* y (- (* -1 (/ x y)) 1)))
Outputs
-1
#s(literal -1 binary64)
(- (* 2 (/ x y)) 1)
(fma.f64 (/.f64 #s(literal 2 binary64) y) x #s(literal -1 binary64))
(- (* x (+ (* -2 (/ x (pow y 2))) (* 2 (/ 1 y)))) 1)
(-.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (fma.f64 (/.f64 #s(literal 2 binary64) y) x #s(literal -2 binary64))) y))
(- (* x (+ (* x (- (* 2 (/ x (pow y 3))) (* 2 (/ 1 (pow y 2))))) (* 2 (/ 1 y)))) 1)
(fma.f64 #s(literal 2 binary64) (pow.f64 (/.f64 x y) #s(literal 3 binary64)) (-.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (fma.f64 (/.f64 #s(literal 2 binary64) y) x #s(literal -2 binary64))) y)))
(* -1 y)
(neg.f64 y)
(- x y)
(-.f64 x y)
y
(+ x y)
(+.f64 y x)
1
#s(literal 1 binary64)
(- (+ 1 (* -1 (/ y x))) (/ y x))
(fma.f64 (/.f64 y x) #s(literal -2 binary64) #s(literal 1 binary64))
(- (+ 1 (+ (* -1 (/ y x)) (* -1 (/ (* y (- (* -1 y) y)) (pow x 2))))) (/ y x))
(fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) (*.f64 (/.f64 #s(literal -2 binary64) x) y) #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 (-.f64 #s(literal 1 binary64) (/.f64 y x)) (*.f64 (/.f64 #s(literal -2 binary64) x) y) (fma.f64 #s(literal -2 binary64) (pow.f64 (/.f64 y x) #s(literal 3 binary64)) #s(literal 1 binary64)))
x
(* x (+ 1 (* -1 (/ y x))))
(-.f64 x y)
(* x (+ 1 (/ y x)))
(+.f64 y x)
(+ 1 (* -1 (/ (+ (* -1 (- (* -1 y) y)) (/ (* y (- (* -1 y) y)) x)) x)))
(fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) (*.f64 (/.f64 #s(literal -2 binary64) x) y) #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)))
(fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) (*.f64 (/.f64 #s(literal -2 binary64) x) y) (fma.f64 #s(literal -2 binary64) (pow.f64 (/.f64 y x) #s(literal 3 binary64)) #s(literal 1 binary64)))
(* -1 (* x (- (/ y x) 1)))
(-.f64 x y)
(* -1 (* x (- (* -1 (/ y x)) 1)))
(+.f64 y x)
(+ 1 (* -2 (/ y x)))
(fma.f64 (/.f64 y x) #s(literal -2 binary64) #s(literal 1 binary64))
(+ 1 (* y (- (* 2 (/ y (pow x 2))) (* 2 (/ 1 x)))))
(fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) (*.f64 (/.f64 #s(literal -2 binary64) x) y) #s(literal 1 binary64))
(+ 1 (* y (- (* y (+ (* -2 (/ y (pow x 3))) (* 2 (/ 1 (pow x 2))))) (* 2 (/ 1 x)))))
(fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) (*.f64 (/.f64 #s(literal -2 binary64) x) y) (fma.f64 #s(literal -2 binary64) (pow.f64 (/.f64 y x) #s(literal 3 binary64)) #s(literal 1 binary64)))
(+ x (* -1 y))
(-.f64 x y)
(- (/ x y) (+ 1 (* -1 (/ x y))))
(fma.f64 (/.f64 #s(literal 2 binary64) y) x #s(literal -1 binary64))
(- (+ (* -1 (/ (* x (- x (* -1 x))) (pow y 2))) (/ x y)) (+ 1 (* -1 (/ x y))))
(-.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (fma.f64 (/.f64 #s(literal 2 binary64) y) x #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)))))
(fma.f64 #s(literal 2 binary64) (pow.f64 (/.f64 x y) #s(literal 3 binary64)) (-.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (fma.f64 (/.f64 #s(literal 2 binary64) y) x #s(literal -2 binary64))) y)))
(* y (- (/ x y) 1))
(-.f64 x y)
(* y (+ 1 (/ x y)))
(+.f64 y x)
(- (* -1 (/ (- (* -1 x) x) y)) 1)
(fma.f64 (/.f64 #s(literal 2 binary64) y) x #s(literal -1 binary64))
(- (* -1 (/ (- (+ (* -1 x) (* -1 (/ (* x (- (* -1 x) x)) y))) x) y)) 1)
(-.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (fma.f64 (/.f64 #s(literal 2 binary64) y) x #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)
(fma.f64 #s(literal 2 binary64) (pow.f64 (/.f64 x y) #s(literal 3 binary64)) (-.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (fma.f64 (/.f64 #s(literal 2 binary64) y) x #s(literal -2 binary64))) y)))
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(-.f64 x y)
(* -1 (* y (- (* -1 (/ x y)) 1)))
(+.f64 y x)

rewrite177.0ms (2.9%)

Memory
20.2MiB live, 209.2MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0513
0813
13913
230913
3519413
0871513
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 (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (+.f64 y x)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 (+.f64 y x) y) #s(literal 2 binary64)))) (-.f64 (*.f64 x (-.f64 x y)) (*.f64 y y)))
(*.f64 (/.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (+.f64 y x)) (+.f64 (pow.f64 (*.f64 (+.f64 y x) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 (*.f64 (+.f64 y x) y) (-.f64 (*.f64 (+.f64 y x) y) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64))))
(*.f64 (/.f64 (-.f64 x y) (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) (neg.f64 (fma.f64 (-.f64 y x) y (*.f64 x x))))
(*.f64 (pow.f64 (*.f64 (/.f64 (+.f64 y x) (fma.f64 (+.f64 y x) y (*.f64 x x))) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (-.f64 x y) (fma.f64 (+.f64 y x) y (*.f64 x x))))
(*.f64 (pow.f64 (/.f64 (+.f64 y x) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 (+.f64 y x) y (*.f64 x x)) #s(literal -1 binary64)))
(*.f64 (/.f64 (-.f64 y x) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (fma.f64 (-.f64 y x) y (*.f64 x x))))
(*.f64 (*.f64 (pow.f64 (+.f64 y x) #s(literal -1 binary64)) (*.f64 (/.f64 (+.f64 y x) (fma.f64 (+.f64 y x) y (*.f64 x x))) #s(literal 1 binary64))) (fma.f64 (-.f64 y x) y (*.f64 x x)))
(*.f64 (pow.f64 (/.f64 (+.f64 y x) (-.f64 x y)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (+.f64 y x) (-.f64 x y)) #s(literal -1/2 binary64)))
(*.f64 (/.f64 (-.f64 x y) #s(literal 1 binary64)) (pow.f64 (+.f64 y x) #s(literal -1 binary64)))
(*.f64 (/.f64 (-.f64 x y) (*.f64 (+.f64 y x) (-.f64 y x))) (-.f64 y x))
(*.f64 (/.f64 (-.f64 y x) (fma.f64 (neg.f64 y) y (*.f64 x x))) (-.f64 y x))
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) #s(literal 1 binary64)) (/.f64 (pow.f64 (fma.f64 (+.f64 y x) y (*.f64 x x)) #s(literal -1 binary64)) (+.f64 y x)))
(*.f64 (/.f64 (*.f64 (/.f64 (+.f64 y x) (fma.f64 (+.f64 y x) y (*.f64 x x))) #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)) (+.f64 y x)))
(*.f64 (/.f64 (*.f64 (/.f64 (+.f64 y x) (fma.f64 (+.f64 y x) y (*.f64 x x))) #s(literal 1 binary64)) (*.f64 (/.f64 (+.f64 y x) (fma.f64 (+.f64 y x) y (*.f64 x x))) #s(literal 1 binary64))) (/.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)) (fma.f64 (+.f64 y x) y (*.f64 x x))))
(*.f64 (/.f64 (*.f64 (/.f64 (+.f64 y x) (fma.f64 (+.f64 y x) y (*.f64 x x))) #s(literal 1 binary64)) (fma.f64 (neg.f64 y) y (*.f64 x x))) (/.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)) (pow.f64 (-.f64 x y) #s(literal -1 binary64))))
(*.f64 (/.f64 (*.f64 (/.f64 (+.f64 y x) (fma.f64 (+.f64 y x) y (*.f64 x x))) #s(literal 1 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (/.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)) (pow.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)) #s(literal -1 binary64))))
(*.f64 (/.f64 (fma.f64 (neg.f64 y) y (*.f64 x x)) (*.f64 (/.f64 (+.f64 y x) (fma.f64 (+.f64 y x) y (*.f64 x x))) #s(literal 1 binary64))) (/.f64 (pow.f64 (+.f64 y x) #s(literal -1 binary64)) (fma.f64 (+.f64 y x) y (*.f64 x x))))
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (*.f64 (/.f64 (+.f64 y x) (fma.f64 (+.f64 y x) y (*.f64 x x))) #s(literal 1 binary64))) (/.f64 (pow.f64 (fma.f64 (+.f64 y x) y (*.f64 x x)) #s(literal -1 binary64)) (fma.f64 (+.f64 y x) y (*.f64 x x))))
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 (neg.f64 y) y (*.f64 x x))) (/.f64 (pow.f64 (fma.f64 (+.f64 y x) y (*.f64 x x)) #s(literal -1 binary64)) (pow.f64 (-.f64 x y) #s(literal -1 binary64))))
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (/.f64 (pow.f64 (fma.f64 (+.f64 y x) y (*.f64 x x)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)) #s(literal -1 binary64))))
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(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (+.f64 y x) (-.f64 y x))) (-.f64 y x))
(/.f64 (-.f64 (*.f64 (*.f64 x x) (-.f64 x y)) (*.f64 (-.f64 x y) (*.f64 y y))) (pow.f64 (-.f64 x y) #s(literal 2 binary64)))
(/.f64 (*.f64 (/.f64 (+.f64 y x) (fma.f64 (+.f64 y x) y (*.f64 x x))) #s(literal 1 binary64)) (pow.f64 (fma.f64 (+.f64 y x) y (*.f64 x x)) #s(literal -1 binary64)))
(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) (*.f64 (-.f64 x y) (fma.f64 y y (*.f64 x x))))
(/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) (*.f64 (-.f64 x y) (fma.f64 (*.f64 y y) (fma.f64 y y (*.f64 x x)) (pow.f64 x #s(literal 4 binary64)))))
(/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) (*.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))))
(/.f64 (+.f64 (pow.f64 y #s(literal 9 binary64)) (pow.f64 x #s(literal 9 binary64))) (*.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)) (-.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) (pow.f64 (*.f64 y x) #s(literal 3 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (*.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (fma.f64 (-.f64 y x) y (*.f64 x x))))
(/.f64 (*.f64 (+.f64 y x) (-.f64 y x)) (-.f64 y x))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 y x)))
(/.f64 (fma.f64 (neg.f64 y) y (*.f64 x x)) (-.f64 x y))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (+.f64 y x) #s(literal -1 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 y x) #s(literal -1 binary64)))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (*.f64 #s(literal 1 binary64) (fma.f64 (-.f64 y x) y (*.f64 x x))))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (neg.f64 (neg.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)))))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 (-.f64 y x) y (*.f64 x x)))
(/.f64 (neg.f64 (+.f64 y x)) #s(literal -1 binary64))
(/.f64 (+.f64 y x) #s(literal 1 binary64))
(neg.f64 (neg.f64 (+.f64 y x)))
(fma.f64 (/.f64 (*.f64 x x) (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) (neg.f64 (fma.f64 (+.f64 y x) y (*.f64 x x))) (neg.f64 (*.f64 y (/.f64 y (-.f64 x y)))))
(fma.f64 (/.f64 (*.f64 x x) (*.f64 (+.f64 y x) (-.f64 y x))) (neg.f64 (+.f64 y x)) (neg.f64 (*.f64 y (/.f64 y (-.f64 x y)))))
(fma.f64 (/.f64 x #s(literal 1 binary64)) (/.f64 x (-.f64 x y)) (neg.f64 (*.f64 y (/.f64 y (-.f64 x y)))))
(fma.f64 (/.f64 (*.f64 x x) #s(literal 1 binary64)) (pow.f64 (-.f64 x y) #s(literal -1 binary64)) (neg.f64 (*.f64 y (/.f64 y (-.f64 x y)))))
(fma.f64 (/.f64 x (*.f64 (/.f64 (+.f64 y x) (fma.f64 (+.f64 y x) y (*.f64 x x))) #s(literal 1 binary64))) (/.f64 x (fma.f64 (-.f64 y x) y (*.f64 x x))) (neg.f64 (*.f64 y (/.f64 y (-.f64 x y)))))
(fma.f64 (/.f64 (*.f64 x x) (fma.f64 (neg.f64 y) y (*.f64 x x))) (+.f64 y x) (neg.f64 (*.f64 y (/.f64 y (-.f64 x y)))))
(fma.f64 (/.f64 (*.f64 x x) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 (+.f64 y x) y (*.f64 x x)) (neg.f64 (*.f64 y (/.f64 y (-.f64 x y)))))
(fma.f64 (*.f64 (/.f64 (+.f64 y x) (fma.f64 (+.f64 y x) y (*.f64 x x))) #s(literal 1 binary64)) (fma.f64 y y (*.f64 x x)) (*.f64 (*.f64 (/.f64 (+.f64 y x) (fma.f64 (+.f64 y x) y (*.f64 x x))) #s(literal 1 binary64)) (*.f64 y x)))
(fma.f64 (*.f64 (/.f64 (+.f64 y x) (fma.f64 (+.f64 y x) y (*.f64 x x))) #s(literal 1 binary64)) (*.f64 (+.f64 y x) y) (*.f64 (*.f64 (/.f64 (+.f64 y x) (fma.f64 (+.f64 y x) y (*.f64 x x))) #s(literal 1 binary64)) (*.f64 x x)))
(fma.f64 (*.f64 (/.f64 (+.f64 y x) (fma.f64 (+.f64 y x) y (*.f64 x x))) #s(literal 1 binary64)) (*.f64 x x) (*.f64 (*.f64 (/.f64 (+.f64 y x) (fma.f64 (+.f64 y x) y (*.f64 x x))) #s(literal 1 binary64)) (*.f64 (+.f64 y x) y)))
(fma.f64 (/.f64 x (fma.f64 (neg.f64 y) y (*.f64 x x))) (*.f64 (+.f64 y x) x) (neg.f64 (*.f64 y (/.f64 y (-.f64 x y)))))
(fma.f64 (/.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (/.f64 x (pow.f64 (fma.f64 (+.f64 y x) y (*.f64 x x)) #s(literal -1 binary64))) (neg.f64 (*.f64 y (/.f64 y (-.f64 x y)))))
(fma.f64 (fma.f64 y y (*.f64 x x)) (*.f64 (/.f64 (+.f64 y x) (fma.f64 (+.f64 y x) y (*.f64 x x))) #s(literal 1 binary64)) (*.f64 (*.f64 y x) (*.f64 (/.f64 (+.f64 y x) (fma.f64 (+.f64 y x) y (*.f64 x x))) #s(literal 1 binary64))))
(fma.f64 #s(literal -1 binary64) (neg.f64 y) (neg.f64 (neg.f64 x)))
(fma.f64 #s(literal -1 binary64) (neg.f64 y) (*.f64 #s(literal 1 binary64) x))
(fma.f64 #s(literal -1 binary64) (neg.f64 y) x)
(fma.f64 #s(literal 1 binary64) y (neg.f64 (neg.f64 x)))
(fma.f64 #s(literal 1 binary64) y (*.f64 #s(literal 1 binary64) x))
(fma.f64 #s(literal 1 binary64) y x)
(fma.f64 #s(literal 1 binary64) x y)
(fma.f64 (*.f64 (+.f64 y x) y) (*.f64 (/.f64 (+.f64 y x) (fma.f64 (+.f64 y x) y (*.f64 x x))) #s(literal 1 binary64)) (*.f64 (*.f64 x x) (*.f64 (/.f64 (+.f64 y x) (fma.f64 (+.f64 y x) y (*.f64 x x))) #s(literal 1 binary64))))
(fma.f64 (*.f64 x x) (*.f64 (/.f64 (+.f64 y x) (fma.f64 (+.f64 y x) y (*.f64 x x))) #s(literal 1 binary64)) (*.f64 (*.f64 (+.f64 y x) y) (*.f64 (/.f64 (+.f64 y x) (fma.f64 (+.f64 y x) y (*.f64 x x))) #s(literal 1 binary64))))
(fma.f64 (*.f64 x x) (pow.f64 (-.f64 x y) #s(literal -1 binary64)) (neg.f64 (*.f64 y (/.f64 y (-.f64 x y)))))
(fma.f64 y #s(literal 1 binary64) (*.f64 x #s(literal 1 binary64)))
(fma.f64 x (/.f64 x (-.f64 x y)) (neg.f64 (*.f64 y (/.f64 y (-.f64 x y)))))
(fma.f64 x #s(literal 1 binary64) (*.f64 y #s(literal 1 binary64)))
(-.f64 (/.f64 (*.f64 y y) (-.f64 y x)) (/.f64 (*.f64 x x) (-.f64 y x)))
(-.f64 (/.f64 (*.f64 x (/.f64 x (-.f64 x y))) #s(literal 1 binary64)) (/.f64 (*.f64 y (/.f64 y (-.f64 x y))) #s(literal 1 binary64)))
(-.f64 (*.f64 x (/.f64 x (-.f64 x y))) (*.f64 y (/.f64 y (-.f64 x y))))
(-.f64 #s(literal 0 binary64) (neg.f64 (+.f64 y x)))
(-.f64 x (neg.f64 y))
(exp.f64 (neg.f64 (*.f64 (log.f64 (+.f64 y x)) #s(literal -1 binary64))))
(exp.f64 (*.f64 (*.f64 (log.f64 (+.f64 y x)) #s(literal -1 binary64)) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (+.f64 y x) #s(literal -1 binary64))) #s(literal -1 binary64)))
(+.f64 (-.f64 x #s(literal 0 binary64)) y)
(+.f64 (*.f64 (fma.f64 y y (*.f64 x x)) (*.f64 (/.f64 (+.f64 y x) (fma.f64 (+.f64 y x) y (*.f64 x x))) #s(literal 1 binary64))) (*.f64 (*.f64 y x) (*.f64 (/.f64 (+.f64 y x) (fma.f64 (+.f64 y x) y (*.f64 x x))) #s(literal 1 binary64))))
(+.f64 (*.f64 (*.f64 (+.f64 y x) y) (*.f64 (/.f64 (+.f64 y x) (fma.f64 (+.f64 y x) y (*.f64 x x))) #s(literal 1 binary64))) (*.f64 (*.f64 x x) (*.f64 (/.f64 (+.f64 y x) (fma.f64 (+.f64 y x) y (*.f64 x x))) #s(literal 1 binary64))))
(+.f64 (*.f64 (*.f64 x x) (*.f64 (/.f64 (+.f64 y x) (fma.f64 (+.f64 y x) y (*.f64 x x))) #s(literal 1 binary64))) (*.f64 (*.f64 (+.f64 y x) y) (*.f64 (/.f64 (+.f64 y x) (fma.f64 (+.f64 y x) y (*.f64 x x))) #s(literal 1 binary64))))
(+.f64 (*.f64 (*.f64 (/.f64 (+.f64 y x) (fma.f64 (+.f64 y x) y (*.f64 x x))) #s(literal 1 binary64)) (fma.f64 y y (*.f64 x x))) (*.f64 (*.f64 (/.f64 (+.f64 y x) (fma.f64 (+.f64 y x) y (*.f64 x x))) #s(literal 1 binary64)) (*.f64 y x)))
(+.f64 (*.f64 (*.f64 (/.f64 (+.f64 y x) (fma.f64 (+.f64 y x) y (*.f64 x x))) #s(literal 1 binary64)) (*.f64 (+.f64 y x) y)) (*.f64 (*.f64 (/.f64 (+.f64 y x) (fma.f64 (+.f64 y x) y (*.f64 x x))) #s(literal 1 binary64)) (*.f64 x x)))
(+.f64 (*.f64 (*.f64 (/.f64 (+.f64 y x) (fma.f64 (+.f64 y x) y (*.f64 x x))) #s(literal 1 binary64)) (*.f64 x x)) (*.f64 (*.f64 (/.f64 (+.f64 y x) (fma.f64 (+.f64 y x) y (*.f64 x x))) #s(literal 1 binary64)) (*.f64 (+.f64 y x) y)))
(+.f64 (neg.f64 (neg.f64 x)) y)
(+.f64 (*.f64 #s(literal 1 binary64) x) y)
(+.f64 (*.f64 x #s(literal 1 binary64)) (*.f64 y #s(literal 1 binary64)))
(+.f64 (*.f64 y #s(literal 1 binary64)) (*.f64 x #s(literal 1 binary64)))
(+.f64 (*.f64 x (/.f64 x (-.f64 x y))) (neg.f64 (*.f64 y (/.f64 y (-.f64 x y)))))
(+.f64 y (neg.f64 (neg.f64 x)))
(+.f64 y (*.f64 #s(literal 1 binary64) x))
(+.f64 y x)
(+.f64 x y)

eval56.0ms (0.9%)

Memory
-36.5MiB live, 123.4MiB allocated
Compiler

Compiled 11 952 to 1 251 computations (89.5% saved)

prune12.0ms (0.2%)

Memory
1.0MiB live, 40.4MiB allocated
Pruning

10 alts after pruning (9 fresh and 1 done)

PrunedKeptTotal
New4999508
Fresh000
Picked011
Done000
Total49910509
Accuracy
100.0%
Counts
509 → 10
Alt Table
Click to see full alt table
StatusAccuracyProgram
72.2%
(/.f64 (-.f64 (+.f64 y x) (*.f64 (/.f64 (+.f64 y x) x) y)) (*.f64 (/.f64 (+.f64 y x) x) (+.f64 y x)))
99.9%
(/.f64 (-.f64 x y) (+.f64 x y))
51.2%
(/.f64 #s(approx (- x y) (neg.f64 y)) (+.f64 x y))
100.0%
(-.f64 (/.f64 x (+.f64 y x)) (/.f64 y (+.f64 y x)))
99.7%
(*.f64 (/.f64 #s(literal -1 binary64) (+.f64 y x)) (-.f64 y x))
50.5%
#s(approx (/ (- x y) (+ x y)) (fma.f64 (/.f64 y x) #s(literal -2 binary64) #s(literal 1 binary64)))
51.9%
#s(approx (/ (- x y) (+ x y)) (fma.f64 (/.f64 #s(literal 2 binary64) y) x #s(literal -1 binary64)))
50.8%
#s(approx (/ (- x y) (+ x y)) (-.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (fma.f64 (/.f64 #s(literal 2 binary64) y) x #s(literal -2 binary64))) y)))
49.1%
#s(approx (/ (- x y) (+ x y)) #s(literal 1 binary64))
50.1%
#s(approx (/ (- x y) (+ x y)) #s(literal -1 binary64))
Compiler

Compiled 241 to 157 computations (34.9% saved)

simplify305.0ms (4.9%)

Memory
8.5MiB live, 94.0MiB allocated
Algorithm
egg-herbie
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 x (fma.f64 (/.f64 #s(literal 2 binary64) y) x #s(literal -2 binary64)))
cost-diff0
(/.f64 (*.f64 x (fma.f64 (/.f64 #s(literal 2 binary64) y) x #s(literal -2 binary64))) y)
cost-diff0
#s(approx (/ (- x y) (+ x y)) (-.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (fma.f64 (/.f64 #s(literal 2 binary64) y) x #s(literal -2 binary64))) y)))
cost-diff1
(-.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (fma.f64 (/.f64 #s(literal 2 binary64) y) x #s(literal -2 binary64))) y))
cost-diff0
(/.f64 y x)
cost-diff0
(fma.f64 (/.f64 y x) #s(literal -2 binary64) #s(literal 1 binary64))
cost-diff0
#s(approx (/ (- x y) (+ x y)) (fma.f64 (/.f64 y x) #s(literal -2 binary64) #s(literal 1 binary64)))
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
(/.f64 y (+.f64 y x))
cost-diff0
(+.f64 y x)
cost-diff0
(/.f64 x (+.f64 y x))
cost-diff4
(-.f64 (/.f64 x (+.f64 y x)) (/.f64 y (+.f64 y x)))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
027150
043146
175146
2118146
3193146
4415146
5957146
61876146
73662146
84401146
94657146
104759146
114798146
124823146
135266146
145459146
155459146
165459146
175487146
185527146
195543146
205543146
215583146
225861146
05861144
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(-.f64 (/.f64 x (+.f64 y x)) (/.f64 y (+.f64 y x)))
(/.f64 x (+.f64 y x))
x
(+.f64 y x)
y
(/.f64 y (+.f64 y x))
#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)) (fma.f64 (/.f64 y x) #s(literal -2 binary64) #s(literal 1 binary64)))
(fma.f64 (/.f64 y x) #s(literal -2 binary64) #s(literal 1 binary64))
(/.f64 y x)
y
x
#s(literal -2 binary64)
#s(literal 1 binary64)
#s(approx (/ (- x y) (+ x y)) (-.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (fma.f64 (/.f64 #s(literal 2 binary64) y) x #s(literal -2 binary64))) y)))
(-.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (fma.f64 (/.f64 #s(literal 2 binary64) y) x #s(literal -2 binary64))) y))
#s(literal -1 binary64)
(/.f64 (*.f64 x (fma.f64 (/.f64 #s(literal 2 binary64) y) x #s(literal -2 binary64))) y)
(*.f64 x (fma.f64 (/.f64 #s(literal 2 binary64) y) x #s(literal -2 binary64)))
x
(fma.f64 (/.f64 #s(literal 2 binary64) y) x #s(literal -2 binary64))
(/.f64 #s(literal 2 binary64) y)
#s(literal 2 binary64)
y
#s(literal -2 binary64)
Outputs
(-.f64 (/.f64 x (+.f64 y x)) (/.f64 y (+.f64 y x)))
(/.f64 (-.f64 x y) (+.f64 y x))
(/.f64 x (+.f64 y x))
x
(+.f64 y x)
y
(/.f64 y (+.f64 y x))
#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))
(/.f64 #s(approx (- x y) (neg.f64 y)) (+.f64 y x))
#s(approx (- x y) (neg.f64 y))
(neg.f64 y)
y
(+.f64 x y)
(+.f64 y x)
x
#s(approx (/ (- x y) (+ x y)) (fma.f64 (/.f64 y x) #s(literal -2 binary64) #s(literal 1 binary64)))
#s(approx (/ (- x y) (+ x y)) (fma.f64 #s(literal -2 binary64) (/.f64 y x) #s(literal 1 binary64)))
(fma.f64 (/.f64 y x) #s(literal -2 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal -2 binary64) (/.f64 y x) #s(literal 1 binary64))
(/.f64 y x)
y
x
#s(literal -2 binary64)
#s(literal 1 binary64)
#s(approx (/ (- x y) (+ x y)) (-.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (fma.f64 (/.f64 #s(literal 2 binary64) y) x #s(literal -2 binary64))) y)))
#s(approx (/ (- x y) (+ x y)) (fma.f64 (fma.f64 (/.f64 x y) #s(literal -2 binary64) #s(literal 2 binary64)) (/.f64 x y) #s(literal -1 binary64)))
(-.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (fma.f64 (/.f64 #s(literal 2 binary64) y) x #s(literal -2 binary64))) y))
(fma.f64 (fma.f64 (/.f64 x y) #s(literal -2 binary64) #s(literal 2 binary64)) (/.f64 x y) #s(literal -1 binary64))
#s(literal -1 binary64)
(/.f64 (*.f64 x (fma.f64 (/.f64 #s(literal 2 binary64) y) x #s(literal -2 binary64))) y)
(*.f64 (/.f64 (fma.f64 (/.f64 #s(literal 2 binary64) y) x #s(literal -2 binary64)) y) x)
(*.f64 x (fma.f64 (/.f64 #s(literal 2 binary64) y) x #s(literal -2 binary64)))
(*.f64 (fma.f64 (/.f64 #s(literal 2 binary64) y) x #s(literal -2 binary64)) x)
x
(fma.f64 (/.f64 #s(literal 2 binary64) y) x #s(literal -2 binary64))
(/.f64 #s(literal 2 binary64) y)
#s(literal 2 binary64)
y
#s(literal -2 binary64)

localize65.0ms (1%)

Memory
9.3MiB live, 128.0MiB allocated
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
accuracy0.078125
(*.f64 x (fma.f64 (/.f64 #s(literal 2 binary64) y) x #s(literal -2 binary64)))
accuracy0.1015625
(fma.f64 (/.f64 #s(literal 2 binary64) y) x #s(literal -2 binary64))
accuracy2.6141871748846337
(/.f64 (*.f64 x (fma.f64 (/.f64 #s(literal 2 binary64) y) x #s(literal -2 binary64))) y)
accuracy31.478687001889767
#s(approx (/ (- x y) (+ x y)) (-.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (fma.f64 (/.f64 #s(literal 2 binary64) y) x #s(literal -2 binary64))) y)))
accuracy0.0
(fma.f64 (/.f64 y x) #s(literal -2 binary64) #s(literal 1 binary64))
accuracy0.0
(/.f64 y x)
accuracy31.694277230124733
#s(approx (/ (- x y) (+ x y)) (fma.f64 (/.f64 y x) #s(literal -2 binary64) #s(literal 1 binary64)))
accuracy0.0
(+.f64 x y)
accuracy0.0
(neg.f64 y)
accuracy0.041347509768442016
(/.f64 #s(approx (- x y) (neg.f64 y)) (+.f64 x y))
accuracy31.37065572629775
#s(approx (- x y) (neg.f64 y))
accuracy31.906768233314242
#s(approx (/ (- x y) (+ x y)) #s(literal -1 binary64))
accuracy0.0
(+.f64 y x)
accuracy0.0078125
(/.f64 y (+.f64 y x))
accuracy0.01171875
(-.f64 (/.f64 x (+.f64 y x)) (/.f64 y (+.f64 y x)))
accuracy0.0234375
(/.f64 x (+.f64 y x))
Samples
39.0ms256×0valid
Compiler

Compiled 129 to 25 computations (80.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 24.0ms
ival-div: 10.0ms (41.3% of total)
ival-add: 5.0ms (20.6% of total)
ival-mult: 5.0ms (20.6% of total)
ival-sub: 3.0ms (12.4% of total)
ival-neg: 1.0ms (4.1% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series19.0ms (0.3%)

Memory
6.4MiB live, 45.2MiB allocated
Counts
17 → 107
Calls
Call 1
Inputs
(-.f64 (/.f64 x (+.f64 y x)) (/.f64 y (+.f64 y x)))
(/.f64 x (+.f64 y x))
(+.f64 y x)
(/.f64 y (+.f64 y x))
#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)
(+.f64 x y)
#s(approx (/ (- x y) (+ x y)) (fma.f64 (/.f64 y x) #s(literal -2 binary64) #s(literal 1 binary64)))
(fma.f64 (/.f64 y x) #s(literal -2 binary64) #s(literal 1 binary64))
(/.f64 y x)
(-.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (fma.f64 (/.f64 #s(literal 2 binary64) y) x #s(literal -2 binary64))) y))
#s(approx (/ (- x y) (+ x y)) (-.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (fma.f64 (/.f64 #s(literal 2 binary64) y) x #s(literal -2 binary64))) y)))
(/.f64 (*.f64 x (fma.f64 (/.f64 #s(literal 2 binary64) y) x #s(literal -2 binary64))) y)
(*.f64 x (fma.f64 (/.f64 #s(literal 2 binary64) y) x #s(literal -2 binary64)))
(fma.f64 (/.f64 #s(literal 2 binary64) y) x #s(literal -2 binary64))
Outputs
-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)
(/ x y)
(* x (+ (* -1 (/ x (pow y 2))) (/ 1 y)))
(* x (+ (* x (- (/ x (pow y 3)) (/ 1 (pow y 2)))) (/ 1 y)))
(* x (+ (* x (- (* x (+ (* -1 (/ x (pow y 4))) (/ 1 (pow y 3)))) (/ 1 (pow y 2)))) (/ 1 y)))
y
(+ x y)
1
(+ 1 (* -1 (/ x y)))
(+ 1 (* x (- (/ x (pow y 2)) (/ 1 y))))
(+ 1 (* x (- (* x (+ (* -1 (/ x (pow y 3))) (/ 1 (pow y 2)))) (/ 1 y))))
(* -1 y)
(- x y)
(* -2 (/ y x))
(/ (+ x (* -2 y)) x)
(/ y x)
(* -2 (/ x y))
(* x (- (* 2 (/ x (pow y 2))) (* 2 (/ 1 y))))
(* -2 x)
(* x (- (* 2 (/ x y)) 2))
-2
(- (* 2 (/ x y)) 2)
(+ 1 (* -2 (/ y x)))
(- (+ 1 (/ (pow y 2) (pow x 2))) (+ (* -1 (/ (pow y 2) (pow x 2))) (* 2 (/ y x))))
(- (+ 1 (+ (* -1 (/ (pow y 3) (pow x 3))) (/ (pow y 2) (pow x 2)))) (+ (* -1 (/ (pow y 2) (pow x 2))) (+ (* 2 (/ y x)) (/ (pow y 3) (pow x 3)))))
(+ 1 (* -1 (/ y x)))
(- (+ 1 (/ (pow y 2) (pow x 2))) (/ y x))
(- (+ 1 (* -1 (/ (pow y 3) (pow x 3)))) (+ (* -1 (/ (pow y 2) (pow x 2))) (/ y x)))
x
(* x (+ 1 (/ y x)))
(/ (+ y (* -1 (/ (pow y 2) x))) x)
(/ (- (+ y (/ (pow y 3) (pow x 2))) (/ (pow y 2) x)) x)
(/ (- (+ y (* -1 (/ (pow y 4) (pow x 3)))) (+ (* -1 (/ (pow y 3) (pow x 2))) (/ (pow y 2) x))) x)
(- (+ 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))))
(* x (+ 1 (* -1 (/ y x))))
(* -2 (/ (pow x 2) (pow y 2)))
(* (pow x 2) (- (* 2 (/ 1 (* x y))) (* 2 (/ 1 (pow y 2)))))
(* (pow x 2) (- (/ 2 (* x y)) (+ (* 2 (/ 1 (pow y 2))) (/ 1 (pow x 2)))))
(* 2 (/ (pow x 2) (pow y 2)))
(* (pow x 2) (- (* 2 (/ 1 (pow y 2))) (* 2 (/ 1 (* x y)))))
(* 2 (/ (pow x 2) y))
(* (pow x 2) (- (* 2 (/ 1 y)) (* 2 (/ 1 x))))
(* 2 (/ x y))
(* x (- (* 2 (/ 1 y)) (* 2 (/ 1 x))))
(+ 1 (* -1 (/ (- y (* -1 y)) x)))
(+ 1 (* -1 (/ (- (+ y (* -2 (/ (pow y 2) x))) (* -1 y)) x)))
(+ 1 (* -1 (/ (- (+ y (* -1 (/ (+ (* -2 (/ (pow y 3) x)) (* 2 (pow y 2))) x))) (* -1 y)) x)))
(+ 1 (* -1 (/ (- (* -1 (/ (pow y 2) x)) (* -1 y)) x)))
(+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow y 3) x)) (* -1 (pow y 2))) x)) (* -1 y)) x)))
(* -1 (* x (- (* -1 (/ y x)) 1)))
(* -1 (/ (+ (* -1 y) (/ (pow y 2) x)) x))
(* -1 (/ (+ (* -1 y) (* -1 (/ (- (/ (pow y 3) x) (pow y 2)) x))) x))
(* -1 (/ (+ (* -1 y) (* -1 (/ (- (* -1 (/ (- (/ (pow y 4) x) (pow y 3)) x)) (pow y 2)) x))) 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 (* x (- (/ y x) 1)))
(* (pow x 2) (- (* -1 (/ (- (/ 1 x) (* 2 (/ 1 y))) x)) (* 2 (/ 1 (pow y 2)))))
(* -1 (* x (- (* 2 (/ 1 x)) (* 2 (/ 1 y)))))
(+ 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 (* y (- (/ y (pow x 2)) (/ 1 x))))
(+ 1 (* y (- (* y (+ (* -1 (/ y (pow x 3))) (/ 1 (pow x 2)))) (/ 1 x))))
(* y (+ (* -1 (/ y (pow x 2))) (/ 1 x)))
(* y (+ (* y (- (/ y (pow x 3)) (/ 1 (pow x 2)))) (/ 1 x)))
(* y (+ (* y (- (* y (+ (* -1 (/ y (pow x 4))) (/ 1 (pow x 3)))) (/ 1 (pow x 2)))) (/ 1 x)))
(+ x (* -1 y))
(/ (- (* 2 (* x y)) (* 2 (pow x 2))) (pow y 2))
(/ (- (* y (- (* -1 y) (* -2 x))) (* 2 (pow x 2))) (pow y 2))
(/ (+ (* -2 (* x y)) (* 2 (pow x 2))) (pow y 2))
(/ (+ (* -2 (* x y)) (* 2 (pow x 2))) y)
(/ (+ (* -2 y) (* 2 x)) y)
(- (+ (* -1 (/ (pow x 2) (pow y 2))) (* 2 (/ x y))) (+ 1 (/ (pow x 2) (pow y 2))))
(- (+ (* -1 (/ (pow x 2) (pow y 2))) (+ (* 2 (/ x y)) (/ (pow x 3) (pow y 3)))) (+ 1 (+ (* -1 (/ (pow x 3) (pow y 3))) (/ (pow x 2) (pow y 2)))))
(/ (+ x (* -1 (/ (pow x 2) y))) y)
(/ (- (+ x (/ (pow x 3) (pow y 2))) (/ (pow x 2) y)) y)
(/ (- (+ x (* -1 (/ (pow x 4) (pow y 3)))) (+ (* -1 (/ (pow x 3) (pow y 2))) (/ (pow x 2) y))) y)
(* y (+ 1 (/ x y)))
(- (+ 1 (/ (pow x 2) (pow y 2))) (/ x y))
(- (+ 1 (* -1 (/ (pow x 3) (pow y 3)))) (+ (* -1 (/ (pow x 2) (pow y 2))) (/ x y)))
(- (/ 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)))))
(* y (- (/ x y) 1))
(* y (- (/ 1 y) (* 2 (/ 1 x))))
(- (* -2 (/ (pow x 2) (pow y 2))) (+ 1 (* -2 (/ x y))))
(/ (+ (* -2 x) (* 2 (/ (pow x 2) y))) y)
(+ (* -2 x) (* 2 (/ (pow x 2) y)))
(- (* -1 (/ (- (* -1 x) x) y)) 1)
(- (* -1 (/ (- (+ (* -1 x) (* 2 (/ (pow x 2) y))) x) y)) 1)
(- (* -1 (/ (- (+ (* -1 x) (* -1 (/ (- (* 2 (/ (pow x 3) y)) (* 2 (pow x 2))) y))) x) y)) 1)
(* -1 (/ (+ (* -1 x) (/ (pow x 2) y)) y))
(* -1 (/ (+ (* -1 x) (* -1 (/ (- (/ (pow x 3) y) (pow x 2)) y))) y))
(* -1 (/ (+ (* -1 x) (* -1 (/ (- (* -1 (/ (- (/ (pow x 4) y) (pow x 3)) y)) (pow x 2)) y))) y))
(* -1 (* y (- (* -1 (/ x y)) 1)))
(+ 1 (* -1 (/ (- (* -1 (/ (pow x 2) y)) (* -1 x)) y)))
(+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow x 3) y)) (* -1 (pow x 2))) y)) (* -1 x)) y)))
(- (* -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 (* -1 (/ x y)))))
(* -1 (* y (- (* 2 (/ 1 x)) (/ 1 y))))
(- (* -1 (/ (- (* 2 (/ (pow x 2) y)) (* 2 x)) y)) 1)
(* -1 (/ (+ (* -2 (/ (pow x 2) y)) (* 2 x)) y))
Calls

6 calls:

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

simplify158.0ms (2.6%)

Memory
6.0MiB live, 196.1MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04251500
113531421
238381244
087121165
Stop Event
iter limit
node limit
Counts
107 → 105
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)
(/ x y)
(* x (+ (* -1 (/ x (pow y 2))) (/ 1 y)))
(* x (+ (* x (- (/ x (pow y 3)) (/ 1 (pow y 2)))) (/ 1 y)))
(* x (+ (* x (- (* x (+ (* -1 (/ x (pow y 4))) (/ 1 (pow y 3)))) (/ 1 (pow y 2)))) (/ 1 y)))
y
(+ x y)
1
(+ 1 (* -1 (/ x y)))
(+ 1 (* x (- (/ x (pow y 2)) (/ 1 y))))
(+ 1 (* x (- (* x (+ (* -1 (/ x (pow y 3))) (/ 1 (pow y 2)))) (/ 1 y))))
(* -1 y)
(- x y)
(* -2 (/ y x))
(/ (+ x (* -2 y)) x)
(/ y x)
(* -2 (/ x y))
(* x (- (* 2 (/ x (pow y 2))) (* 2 (/ 1 y))))
(* -2 x)
(* x (- (* 2 (/ x y)) 2))
-2
(- (* 2 (/ x y)) 2)
(+ 1 (* -2 (/ y x)))
(- (+ 1 (/ (pow y 2) (pow x 2))) (+ (* -1 (/ (pow y 2) (pow x 2))) (* 2 (/ y x))))
(- (+ 1 (+ (* -1 (/ (pow y 3) (pow x 3))) (/ (pow y 2) (pow x 2)))) (+ (* -1 (/ (pow y 2) (pow x 2))) (+ (* 2 (/ y x)) (/ (pow y 3) (pow x 3)))))
(+ 1 (* -1 (/ y x)))
(- (+ 1 (/ (pow y 2) (pow x 2))) (/ y x))
(- (+ 1 (* -1 (/ (pow y 3) (pow x 3)))) (+ (* -1 (/ (pow y 2) (pow x 2))) (/ y x)))
x
(* x (+ 1 (/ y x)))
(/ (+ y (* -1 (/ (pow y 2) x))) x)
(/ (- (+ y (/ (pow y 3) (pow x 2))) (/ (pow y 2) x)) x)
(/ (- (+ y (* -1 (/ (pow y 4) (pow x 3)))) (+ (* -1 (/ (pow y 3) (pow x 2))) (/ (pow y 2) x))) x)
(- (+ 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))))
(* x (+ 1 (* -1 (/ y x))))
(* -2 (/ (pow x 2) (pow y 2)))
(* (pow x 2) (- (* 2 (/ 1 (* x y))) (* 2 (/ 1 (pow y 2)))))
(* (pow x 2) (- (/ 2 (* x y)) (+ (* 2 (/ 1 (pow y 2))) (/ 1 (pow x 2)))))
(* 2 (/ (pow x 2) (pow y 2)))
(* (pow x 2) (- (* 2 (/ 1 (pow y 2))) (* 2 (/ 1 (* x y)))))
(* 2 (/ (pow x 2) y))
(* (pow x 2) (- (* 2 (/ 1 y)) (* 2 (/ 1 x))))
(* 2 (/ x y))
(* x (- (* 2 (/ 1 y)) (* 2 (/ 1 x))))
(+ 1 (* -1 (/ (- y (* -1 y)) x)))
(+ 1 (* -1 (/ (- (+ y (* -2 (/ (pow y 2) x))) (* -1 y)) x)))
(+ 1 (* -1 (/ (- (+ y (* -1 (/ (+ (* -2 (/ (pow y 3) x)) (* 2 (pow y 2))) x))) (* -1 y)) x)))
(+ 1 (* -1 (/ (- (* -1 (/ (pow y 2) x)) (* -1 y)) x)))
(+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow y 3) x)) (* -1 (pow y 2))) x)) (* -1 y)) x)))
(* -1 (* x (- (* -1 (/ y x)) 1)))
(* -1 (/ (+ (* -1 y) (/ (pow y 2) x)) x))
(* -1 (/ (+ (* -1 y) (* -1 (/ (- (/ (pow y 3) x) (pow y 2)) x))) x))
(* -1 (/ (+ (* -1 y) (* -1 (/ (- (* -1 (/ (- (/ (pow y 4) x) (pow y 3)) x)) (pow y 2)) x))) 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 (* x (- (/ y x) 1)))
(* (pow x 2) (- (* -1 (/ (- (/ 1 x) (* 2 (/ 1 y))) x)) (* 2 (/ 1 (pow y 2)))))
(* -1 (* x (- (* 2 (/ 1 x)) (* 2 (/ 1 y)))))
(+ 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 (* y (- (/ y (pow x 2)) (/ 1 x))))
(+ 1 (* y (- (* y (+ (* -1 (/ y (pow x 3))) (/ 1 (pow x 2)))) (/ 1 x))))
(* y (+ (* -1 (/ y (pow x 2))) (/ 1 x)))
(* y (+ (* y (- (/ y (pow x 3)) (/ 1 (pow x 2)))) (/ 1 x)))
(* y (+ (* y (- (* y (+ (* -1 (/ y (pow x 4))) (/ 1 (pow x 3)))) (/ 1 (pow x 2)))) (/ 1 x)))
(+ x (* -1 y))
(/ (- (* 2 (* x y)) (* 2 (pow x 2))) (pow y 2))
(/ (- (* y (- (* -1 y) (* -2 x))) (* 2 (pow x 2))) (pow y 2))
(/ (+ (* -2 (* x y)) (* 2 (pow x 2))) (pow y 2))
(/ (+ (* -2 (* x y)) (* 2 (pow x 2))) y)
(/ (+ (* -2 y) (* 2 x)) y)
(- (+ (* -1 (/ (pow x 2) (pow y 2))) (* 2 (/ x y))) (+ 1 (/ (pow x 2) (pow y 2))))
(- (+ (* -1 (/ (pow x 2) (pow y 2))) (+ (* 2 (/ x y)) (/ (pow x 3) (pow y 3)))) (+ 1 (+ (* -1 (/ (pow x 3) (pow y 3))) (/ (pow x 2) (pow y 2)))))
(/ (+ x (* -1 (/ (pow x 2) y))) y)
(/ (- (+ x (/ (pow x 3) (pow y 2))) (/ (pow x 2) y)) y)
(/ (- (+ x (* -1 (/ (pow x 4) (pow y 3)))) (+ (* -1 (/ (pow x 3) (pow y 2))) (/ (pow x 2) y))) y)
(* y (+ 1 (/ x y)))
(- (+ 1 (/ (pow x 2) (pow y 2))) (/ x y))
(- (+ 1 (* -1 (/ (pow x 3) (pow y 3)))) (+ (* -1 (/ (pow x 2) (pow y 2))) (/ x y)))
(- (/ 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)))))
(* y (- (/ x y) 1))
(* y (- (/ 1 y) (* 2 (/ 1 x))))
(- (* -2 (/ (pow x 2) (pow y 2))) (+ 1 (* -2 (/ x y))))
(/ (+ (* -2 x) (* 2 (/ (pow x 2) y))) y)
(+ (* -2 x) (* 2 (/ (pow x 2) y)))
(- (* -1 (/ (- (* -1 x) x) y)) 1)
(- (* -1 (/ (- (+ (* -1 x) (* 2 (/ (pow x 2) y))) x) y)) 1)
(- (* -1 (/ (- (+ (* -1 x) (* -1 (/ (- (* 2 (/ (pow x 3) y)) (* 2 (pow x 2))) y))) x) y)) 1)
(* -1 (/ (+ (* -1 x) (/ (pow x 2) y)) y))
(* -1 (/ (+ (* -1 x) (* -1 (/ (- (/ (pow x 3) y) (pow x 2)) y))) y))
(* -1 (/ (+ (* -1 x) (* -1 (/ (- (* -1 (/ (- (/ (pow x 4) y) (pow x 3)) y)) (pow x 2)) y))) y))
(* -1 (* y (- (* -1 (/ x y)) 1)))
(+ 1 (* -1 (/ (- (* -1 (/ (pow x 2) y)) (* -1 x)) y)))
(+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow x 3) y)) (* -1 (pow x 2))) y)) (* -1 x)) y)))
(- (* -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 (* -1 (/ x y)))))
(* -1 (* y (- (* 2 (/ 1 x)) (/ 1 y))))
(- (* -1 (/ (- (* 2 (/ (pow x 2) y)) (* 2 x)) y)) 1)
(* -1 (/ (+ (* -2 (/ (pow x 2) y)) (* 2 x)) y))
Outputs
-1
#s(literal -1 binary64)
(- (* 2 (/ x y)) 1)
(fma.f64 (/.f64 x y) #s(literal 2 binary64) #s(literal -1 binary64))
(- (* x (+ (* -2 (/ x (pow y 2))) (* 2 (/ 1 y)))) 1)
(fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 x (-.f64 (/.f64 x y) #s(literal 1 binary64))) y) #s(literal -1 binary64))
(- (* x (+ (* x (- (* 2 (/ x (pow y 3))) (* 2 (/ 1 (pow y 2))))) (* 2 (/ 1 y)))) 1)
(fma.f64 (fma.f64 (*.f64 (/.f64 (/.f64 #s(literal 2 binary64) y) y) (-.f64 (/.f64 x y) #s(literal 1 binary64))) x (/.f64 #s(literal 2 binary64) y)) x #s(literal -1 binary64))
(/ x y)
(/.f64 x y)
(* x (+ (* -1 (/ x (pow y 2))) (/ 1 y)))
(/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 x y))) y)
(* x (+ (* x (- (/ x (pow y 3)) (/ 1 (pow y 2)))) (/ 1 y)))
(/.f64 (fma.f64 (*.f64 x (/.f64 x y)) (-.f64 (/.f64 x y) #s(literal 1 binary64)) x) y)
(* x (+ (* x (- (* x (+ (* -1 (/ x (pow y 4))) (/ 1 (pow y 3)))) (/ 1 (pow y 2)))) (/ 1 y)))
(*.f64 (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) (/.f64 x (pow.f64 y #s(literal 4 binary64)))) x (/.f64 (/.f64 #s(literal -1 binary64) y) y)) x (/.f64 #s(literal 1 binary64) y)) x)
y
(+ x y)
(+.f64 y x)
1
#s(literal 1 binary64)
(+ 1 (* -1 (/ x y)))
(-.f64 #s(literal 1 binary64) (/.f64 x y))
(+ 1 (* x (- (/ x (pow y 2)) (/ 1 y))))
(fma.f64 (/.f64 x y) (-.f64 (/.f64 x y) #s(literal 1 binary64)) #s(literal 1 binary64))
(+ 1 (* x (- (* x (+ (* -1 (/ x (pow y 3))) (/ 1 (pow y 2)))) (/ 1 y))))
(fma.f64 (/.f64 x y) (-.f64 (/.f64 x y) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x y) #s(literal 3 binary64))))
(* -1 y)
(neg.f64 y)
(- x y)
(-.f64 x y)
(* -2 (/ y x))
(*.f64 (/.f64 y x) #s(literal -2 binary64))
(/ (+ x (* -2 y)) x)
(/.f64 (fma.f64 #s(literal -2 binary64) y x) x)
(/ y x)
(/.f64 y x)
(* -2 (/ x y))
(*.f64 #s(literal -2 binary64) (/.f64 x y))
(* x (- (* 2 (/ x (pow y 2))) (* 2 (/ 1 y))))
(/.f64 (*.f64 (fma.f64 (/.f64 #s(literal 2 binary64) y) x #s(literal -2 binary64)) x) y)
(* -2 x)
(*.f64 #s(literal -2 binary64) x)
(* x (- (* 2 (/ x y)) 2))
(*.f64 (fma.f64 (/.f64 #s(literal 2 binary64) y) x #s(literal -2 binary64)) x)
-2
#s(literal -2 binary64)
(- (* 2 (/ x y)) 2)
(fma.f64 (/.f64 #s(literal 2 binary64) y) x #s(literal -2 binary64))
(+ 1 (* -2 (/ y x)))
(fma.f64 (/.f64 y x) #s(literal -2 binary64) #s(literal 1 binary64))
(- (+ 1 (/ (pow y 2) (pow x 2))) (+ (* -1 (/ (pow y 2) (pow x 2))) (* 2 (/ y x))))
(fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) (*.f64 (/.f64 y x) #s(literal -2 binary64)) #s(literal 1 binary64))
(- (+ 1 (+ (* -1 (/ (pow y 3) (pow x 3))) (/ (pow y 2) (pow x 2)))) (+ (* -1 (/ (pow y 2) (pow x 2))) (+ (* 2 (/ y x)) (/ (pow y 3) (pow x 3)))))
(+.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) (*.f64 (/.f64 y x) #s(literal -2 binary64)) (neg.f64 (pow.f64 (/.f64 y x) #s(literal 3 binary64)))) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y x) #s(literal 3 binary64))))
(+ 1 (* -1 (/ y x)))
(-.f64 #s(literal 1 binary64) (/.f64 y x))
(- (+ 1 (/ (pow y 2) (pow x 2))) (/ y x))
(fma.f64 (/.f64 y x) (-.f64 (/.f64 y x) #s(literal 1 binary64)) #s(literal 1 binary64))
(- (+ 1 (* -1 (/ (pow y 3) (pow x 3)))) (+ (* -1 (/ (pow y 2) (pow x 2))) (/ y x)))
(fma.f64 (/.f64 y x) (-.f64 (/.f64 y x) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y x) #s(literal 3 binary64))))
x
(* x (+ 1 (/ y x)))
(fma.f64 (/.f64 y x) x x)
(/ (+ y (* -1 (/ (pow y 2) x))) x)
(/.f64 (*.f64 y (-.f64 #s(literal 1 binary64) (/.f64 y x))) x)
(/ (- (+ y (/ (pow y 3) (pow x 2))) (/ (pow y 2) x)) x)
(/.f64 (fma.f64 (*.f64 y (/.f64 y x)) (-.f64 (/.f64 y x) #s(literal 1 binary64)) y) x)
(/ (- (+ y (* -1 (/ (pow y 4) (pow x 3)))) (+ (* -1 (/ (pow y 3) (pow x 2))) (/ (pow y 2) x))) x)
(/.f64 (neg.f64 (-.f64 (/.f64 (fma.f64 y y (/.f64 (-.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) x) (pow.f64 y #s(literal 3 binary64))) x)) x) y)) x)
(- (+ 1 (* -1 (/ y x))) (/ y x))
(fma.f64 (/.f64 y x) #s(literal -2 binary64) #s(literal 1 binary64))
(- (+ 1 (+ (* -1 (/ y x)) (* -1 (/ (* y (- (* -1 y) y)) (pow x 2))))) (/ y x))
(fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) (*.f64 (/.f64 y x) #s(literal -2 binary64)) #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 (fma.f64 (fma.f64 (/.f64 y (pow.f64 x #s(literal 3 binary64))) #s(literal -2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) x) x)) y (/.f64 #s(literal -2 binary64) x)) y #s(literal 1 binary64))
(* x (+ 1 (* -1 (/ y x))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x)
(* -2 (/ (pow x 2) (pow y 2)))
(*.f64 (*.f64 (/.f64 (/.f64 x y) y) x) #s(literal -2 binary64))
(* (pow x 2) (- (* 2 (/ 1 (* x y))) (* 2 (/ 1 (pow y 2)))))
(*.f64 (-.f64 (/.f64 (/.f64 #s(literal 2 binary64) y) x) (/.f64 (/.f64 #s(literal 2 binary64) y) y)) (*.f64 x x))
(* (pow x 2) (- (/ 2 (* x y)) (+ (* 2 (/ 1 (pow y 2))) (/ 1 (pow x 2)))))
(*.f64 (-.f64 (/.f64 #s(literal -2 binary64) (*.f64 y y)) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) y)) x)) (*.f64 x x))
(* 2 (/ (pow x 2) (pow y 2)))
(*.f64 (*.f64 (/.f64 (/.f64 x y) y) x) #s(literal 2 binary64))
(* (pow x 2) (- (* 2 (/ 1 (pow y 2))) (* 2 (/ 1 (* x y)))))
(*.f64 (-.f64 (/.f64 (/.f64 #s(literal 2 binary64) y) y) (/.f64 (/.f64 #s(literal 2 binary64) y) x)) (*.f64 x x))
(* 2 (/ (pow x 2) y))
(*.f64 (*.f64 x (/.f64 x y)) #s(literal 2 binary64))
(* (pow x 2) (- (* 2 (/ 1 y)) (* 2 (/ 1 x))))
(*.f64 (-.f64 (/.f64 #s(literal 2 binary64) y) (/.f64 #s(literal 2 binary64) x)) (*.f64 x x))
(* 2 (/ x y))
(*.f64 (/.f64 x y) #s(literal 2 binary64))
(* x (- (* 2 (/ 1 y)) (* 2 (/ 1 x))))
(*.f64 (-.f64 (/.f64 #s(literal 2 binary64) y) (/.f64 #s(literal 2 binary64) x)) x)
(+ 1 (* -1 (/ (- y (* -1 y)) x)))
(fma.f64 (/.f64 y x) #s(literal -2 binary64) #s(literal 1 binary64))
(+ 1 (* -1 (/ (- (+ y (* -2 (/ (pow y 2) x))) (* -1 y)) x)))
(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (fma.f64 (/.f64 y x) #s(literal -2 binary64) #s(literal 2 binary64))) x))
(+ 1 (* -1 (/ (- (+ y (* -1 (/ (+ (* -2 (/ (pow y 3) x)) (* 2 (pow y 2))) x))) (* -1 y)) x)))
(+.f64 (/.f64 (fma.f64 #s(literal -2 binary64) y (/.f64 (*.f64 (*.f64 y y) (fma.f64 (/.f64 y x) #s(literal -2 binary64) #s(literal 2 binary64))) x)) x) #s(literal 1 binary64))
(+ 1 (* -1 (/ (- (* -1 (/ (pow y 2) x)) (* -1 y)) x)))
(fma.f64 (/.f64 y x) (-.f64 (/.f64 y x) #s(literal 1 binary64)) #s(literal 1 binary64))
(+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow y 3) x)) (* -1 (pow y 2))) x)) (* -1 y)) x)))
(fma.f64 (/.f64 y x) (-.f64 (/.f64 y x) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y x) #s(literal 3 binary64))))
(* -1 (* x (- (* -1 (/ y x)) 1)))
(fma.f64 (/.f64 y x) x x)
(* -1 (/ (+ (* -1 y) (/ (pow y 2) x)) x))
(/.f64 (*.f64 y (-.f64 #s(literal 1 binary64) (/.f64 y x))) x)
(* -1 (/ (+ (* -1 y) (* -1 (/ (- (/ (pow y 3) x) (pow y 2)) x))) x))
(/.f64 (fma.f64 (*.f64 y (/.f64 y x)) (-.f64 (/.f64 y x) #s(literal 1 binary64)) y) x)
(* -1 (/ (+ (* -1 y) (* -1 (/ (- (* -1 (/ (- (/ (pow y 4) x) (pow y 3)) x)) (pow y 2)) x))) x))
(/.f64 (neg.f64 (-.f64 (/.f64 (fma.f64 y y (/.f64 (-.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) x) (pow.f64 y #s(literal 3 binary64))) x)) x) y)) x)
(+ 1 (* -1 (/ (+ (* -1 (- (* -1 y) y)) (/ (* y (- (* -1 y) y)) x)) x)))
(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (fma.f64 (/.f64 y x) #s(literal -2 binary64) #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 (/.f64 (fma.f64 #s(literal -2 binary64) y (/.f64 (*.f64 (*.f64 y y) (fma.f64 (/.f64 y x) #s(literal -2 binary64) #s(literal 2 binary64))) x)) x) #s(literal 1 binary64))
(* -1 (* x (- (/ y x) 1)))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x)
(* (pow x 2) (- (* -1 (/ (- (/ 1 x) (* 2 (/ 1 y))) x)) (* 2 (/ 1 (pow y 2)))))
(*.f64 (-.f64 (/.f64 #s(literal -2 binary64) (*.f64 y y)) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) y)) x)) (*.f64 x x))
(* -1 (* x (- (* 2 (/ 1 x)) (* 2 (/ 1 y)))))
(*.f64 (-.f64 (/.f64 #s(literal 2 binary64) y) (/.f64 #s(literal 2 binary64) x)) x)
(+ 1 (* y (- (* 2 (/ y (pow x 2))) (* 2 (/ 1 x)))))
(fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) (*.f64 (/.f64 y x) #s(literal -2 binary64)) #s(literal 1 binary64))
(+ 1 (* y (- (* y (+ (* -2 (/ y (pow x 3))) (* 2 (/ 1 (pow x 2))))) (* 2 (/ 1 x)))))
(fma.f64 (fma.f64 (fma.f64 (/.f64 y (pow.f64 x #s(literal 3 binary64))) #s(literal -2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) x) x)) y (/.f64 #s(literal -2 binary64) x)) y #s(literal 1 binary64))
(+ 1 (* y (- (/ y (pow x 2)) (/ 1 x))))
(fma.f64 (/.f64 y x) (-.f64 (/.f64 y x) #s(literal 1 binary64)) #s(literal 1 binary64))
(+ 1 (* y (- (* y (+ (* -1 (/ y (pow x 3))) (/ 1 (pow x 2)))) (/ 1 x))))
(fma.f64 (/.f64 y x) (-.f64 (/.f64 y x) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y x) #s(literal 3 binary64))))
(* y (+ (* -1 (/ y (pow x 2))) (/ 1 x)))
(/.f64 (*.f64 y (-.f64 #s(literal 1 binary64) (/.f64 y x))) x)
(* y (+ (* y (- (/ y (pow x 3)) (/ 1 (pow x 2)))) (/ 1 x)))
(/.f64 (fma.f64 (*.f64 y (/.f64 y x)) (-.f64 (/.f64 y x) #s(literal 1 binary64)) y) x)
(* y (+ (* y (- (* y (+ (* -1 (/ y (pow x 4))) (/ 1 (pow x 3)))) (/ 1 (pow x 2)))) (/ 1 x)))
(*.f64 (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 y (pow.f64 x #s(literal 4 binary64)))) y (/.f64 #s(literal -1 binary64) (*.f64 x x))) y (/.f64 #s(literal 1 binary64) x)) y)
(+ x (* -1 y))
(-.f64 x y)
(/ (- (* 2 (* x y)) (* 2 (pow x 2))) (pow y 2))
(/.f64 (*.f64 x (fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal 2 binary64))) y)
(/ (- (* y (- (* -1 y) (* -2 x))) (* 2 (pow x 2))) (pow y 2))
(/.f64 (fma.f64 (neg.f64 y) y (*.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 y x))) (*.f64 y y))
(/ (+ (* -2 (* x y)) (* 2 (pow x 2))) (pow y 2))
(/.f64 (*.f64 (*.f64 #s(literal -2 binary64) x) (-.f64 y x)) (*.f64 y y))
(/ (+ (* -2 (* x y)) (* 2 (pow x 2))) y)
(/.f64 (*.f64 (*.f64 #s(literal -2 binary64) x) (-.f64 y x)) y)
(/ (+ (* -2 y) (* 2 x)) y)
(/.f64 (*.f64 #s(literal 2 binary64) (-.f64 x y)) y)
(- (+ (* -1 (/ (pow x 2) (pow y 2))) (* 2 (/ x y))) (+ 1 (/ (pow x 2) (pow y 2))))
(fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 x (-.f64 (/.f64 x y) #s(literal 1 binary64))) y) #s(literal -1 binary64))
(- (+ (* -1 (/ (pow x 2) (pow y 2))) (+ (* 2 (/ x y)) (/ (pow x 3) (pow y 3)))) (+ 1 (+ (* -1 (/ (pow x 3) (pow y 3))) (/ (pow x 2) (pow y 2)))))
(-.f64 (fma.f64 (/.f64 x y) (-.f64 #s(literal 2 binary64) (/.f64 x y)) (pow.f64 (/.f64 x y) #s(literal 3 binary64))) (fma.f64 (/.f64 (/.f64 x y) y) (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 x y))) #s(literal 1 binary64)))
(/ (+ x (* -1 (/ (pow x 2) y))) y)
(/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 x y))) y)
(/ (- (+ x (/ (pow x 3) (pow y 2))) (/ (pow x 2) y)) y)
(/.f64 (fma.f64 (*.f64 x (/.f64 x y)) (-.f64 (/.f64 x y) #s(literal 1 binary64)) x) y)
(/ (- (+ x (* -1 (/ (pow x 4) (pow y 3)))) (+ (* -1 (/ (pow x 3) (pow y 2))) (/ (pow x 2) y))) y)
(/.f64 (neg.f64 (-.f64 (/.f64 (fma.f64 x x (/.f64 (-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) y) (pow.f64 x #s(literal 3 binary64))) y)) y) x)) y)
(* y (+ 1 (/ x y)))
(fma.f64 (/.f64 x y) y y)
(- (+ 1 (/ (pow x 2) (pow y 2))) (/ x y))
(fma.f64 (/.f64 x y) (-.f64 (/.f64 x y) #s(literal 1 binary64)) #s(literal 1 binary64))
(- (+ 1 (* -1 (/ (pow x 3) (pow y 3)))) (+ (* -1 (/ (pow x 2) (pow y 2))) (/ x y)))
(fma.f64 (/.f64 x y) (-.f64 (/.f64 x y) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x y) #s(literal 3 binary64))))
(- (/ x y) (+ 1 (* -1 (/ x y))))
(fma.f64 (/.f64 x y) #s(literal 2 binary64) #s(literal -1 binary64))
(- (+ (* -1 (/ (* x (- x (* -1 x))) (pow y 2))) (/ x y)) (+ 1 (* -1 (/ x y))))
(fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 x (-.f64 (/.f64 x y) #s(literal 1 binary64))) 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)))))
(fma.f64 (fma.f64 (/.f64 x y) (fma.f64 (/.f64 #s(literal 2 binary64) y) x #s(literal -2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 2 binary64)) (pow.f64 y #s(literal 3 binary64))))
(* y (- (/ x y) 1))
(fma.f64 (/.f64 x y) y (neg.f64 y))
(* y (- (/ 1 y) (* 2 (/ 1 x))))
(fma.f64 (/.f64 y x) #s(literal -2 binary64) #s(literal 1 binary64))
(- (* -2 (/ (pow x 2) (pow y 2))) (+ 1 (* -2 (/ x y))))
(fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 x (-.f64 (/.f64 x y) #s(literal 1 binary64))) y) #s(literal -1 binary64))
(/ (+ (* -2 x) (* 2 (/ (pow x 2) y))) y)
(/.f64 (*.f64 (fma.f64 (/.f64 #s(literal 2 binary64) y) x #s(literal -2 binary64)) x) y)
(+ (* -2 x) (* 2 (/ (pow x 2) y)))
(*.f64 (fma.f64 (/.f64 #s(literal 2 binary64) y) x #s(literal -2 binary64)) x)
(- (* -1 (/ (- (* -1 x) x) y)) 1)
(fma.f64 (/.f64 x y) #s(literal 2 binary64) #s(literal -1 binary64))
(- (* -1 (/ (- (+ (* -1 x) (* 2 (/ (pow x 2) y))) x) y)) 1)
(fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 x (-.f64 (/.f64 x y) #s(literal 1 binary64))) y) #s(literal -1 binary64))
(- (* -1 (/ (- (+ (* -1 x) (* -1 (/ (- (* 2 (/ (pow x 3) y)) (* 2 (pow x 2))) y))) x) y)) 1)
(-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -2 binary64) x (/.f64 (*.f64 (*.f64 x x) (fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal 2 binary64))) y)) y))
(* -1 (/ (+ (* -1 x) (/ (pow x 2) y)) y))
(/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 x y))) y)
(* -1 (/ (+ (* -1 x) (* -1 (/ (- (/ (pow x 3) y) (pow x 2)) y))) y))
(/.f64 (fma.f64 (*.f64 x (/.f64 x y)) (-.f64 (/.f64 x y) #s(literal 1 binary64)) x) y)
(* -1 (/ (+ (* -1 x) (* -1 (/ (- (* -1 (/ (- (/ (pow x 4) y) (pow x 3)) y)) (pow x 2)) y))) y))
(/.f64 (neg.f64 (-.f64 (/.f64 (fma.f64 x x (/.f64 (-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) y) (pow.f64 x #s(literal 3 binary64))) y)) y) x)) y)
(* -1 (* y (- (* -1 (/ x y)) 1)))
(fma.f64 (/.f64 x y) y y)
(+ 1 (* -1 (/ (- (* -1 (/ (pow x 2) y)) (* -1 x)) y)))
(fma.f64 (/.f64 x y) (-.f64 (/.f64 x y) #s(literal 1 binary64)) #s(literal 1 binary64))
(+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow x 3) y)) (* -1 (pow x 2))) y)) (* -1 x)) y)))
(fma.f64 (/.f64 x y) (-.f64 (/.f64 x y) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x y) #s(literal 3 binary64))))
(- (* -1 (/ (- (+ (* -1 x) (* -1 (/ (* x (- (* -1 x) x)) y))) x) y)) 1)
(fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 x (-.f64 (/.f64 x y) #s(literal 1 binary64))) 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 #s(literal -2 binary64) x (/.f64 (*.f64 (*.f64 x x) (fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal 2 binary64))) y)) y))
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(fma.f64 (/.f64 x y) y (neg.f64 y))
(* -1 (* y (- (* 2 (/ 1 x)) (/ 1 y))))
(fma.f64 (/.f64 y x) #s(literal -2 binary64) #s(literal 1 binary64))
(- (* -1 (/ (- (* 2 (/ (pow x 2) y)) (* 2 x)) y)) 1)
(fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 x (-.f64 (/.f64 x y) #s(literal 1 binary64))) y) #s(literal -1 binary64))
(* -1 (/ (+ (* -2 (/ (pow x 2) y)) (* 2 x)) y))
(/.f64 (*.f64 (fma.f64 (/.f64 #s(literal 2 binary64) y) x #s(literal -2 binary64)) x) y)

rewrite204.0ms (3.3%)

Memory
-7.4MiB live, 292.0MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
027133
043129
1202129
21668129
08129129
Stop Event
iter limit
node limit
iter limit
Counts
17 → 896
Calls
Call 1
Inputs
(-.f64 (/.f64 x (+.f64 y x)) (/.f64 y (+.f64 y x)))
(/.f64 x (+.f64 y x))
(+.f64 y x)
(/.f64 y (+.f64 y x))
#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)
(+.f64 x y)
#s(approx (/ (- x y) (+ x y)) (fma.f64 (/.f64 y x) #s(literal -2 binary64) #s(literal 1 binary64)))
(fma.f64 (/.f64 y x) #s(literal -2 binary64) #s(literal 1 binary64))
(/.f64 y x)
(-.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (fma.f64 (/.f64 #s(literal 2 binary64) y) x #s(literal -2 binary64))) y))
#s(approx (/ (- x y) (+ x y)) (-.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (fma.f64 (/.f64 #s(literal 2 binary64) y) x #s(literal -2 binary64))) y)))
(/.f64 (*.f64 x (fma.f64 (/.f64 #s(literal 2 binary64) y) x #s(literal -2 binary64))) y)
(*.f64 x (fma.f64 (/.f64 #s(literal 2 binary64) y) x #s(literal -2 binary64)))
(fma.f64 (/.f64 #s(literal 2 binary64) y) x #s(literal -2 binary64))
Outputs
(*.f64 (/.f64 (-.f64 x y) (*.f64 (/.f64 (+.f64 y x) (+.f64 y x)) (/.f64 (-.f64 x y) (-.f64 x y)))) (pow.f64 (+.f64 y x) #s(literal -1 binary64)))
(*.f64 (/.f64 (-.f64 x y) (/.f64 (*.f64 (+.f64 y x) (-.f64 x y)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) (pow.f64 (fma.f64 (+.f64 y x) y (*.f64 x x)) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 y x) #s(literal -1 binary64))) (/.f64 (/.f64 (-.f64 x y) (+.f64 y x)) (+.f64 y x)))
(*.f64 (/.f64 (fma.f64 (+.f64 y x) y (*.f64 x x)) (+.f64 y x)) (/.f64 (-.f64 x y) (fma.f64 (+.f64 y x) y (*.f64 x x))))
(*.f64 (/.f64 (*.f64 (/.f64 (+.f64 y x) (+.f64 y x)) (/.f64 (-.f64 x y) (-.f64 y x))) (*.f64 (/.f64 (+.f64 y x) (+.f64 y x)) (/.f64 (-.f64 x y) (-.f64 x y)))) (/.f64 (-.f64 y x) (+.f64 y x)))
(*.f64 (/.f64 (*.f64 (/.f64 (+.f64 y x) (+.f64 y x)) (/.f64 (-.f64 x y) (-.f64 y x))) (/.f64 (*.f64 (+.f64 y x) (-.f64 x y)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) (/.f64 (-.f64 y x) (fma.f64 (+.f64 y x) y (*.f64 x x))))
(*.f64 (/.f64 (*.f64 (/.f64 (+.f64 y x) (+.f64 y x)) (/.f64 (-.f64 x y) (-.f64 y x))) (*.f64 (+.f64 y x) (-.f64 y x))) (/.f64 (-.f64 y x) (pow.f64 (-.f64 y x) #s(literal -1 binary64))))
(*.f64 (/.f64 (*.f64 (/.f64 (+.f64 y x) (+.f64 y x)) (/.f64 (-.f64 x y) (-.f64 y x))) (*.f64 (+.f64 y x) (-.f64 x y))) (/.f64 (-.f64 y x) (pow.f64 (-.f64 x y) #s(literal -1 binary64))))
(*.f64 (/.f64 (*.f64 (/.f64 (+.f64 y x) (+.f64 y x)) (/.f64 (-.f64 x y) (-.f64 y x))) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (/.f64 (-.f64 y x) (pow.f64 (fma.f64 y y (*.f64 x (-.f64 x y))) #s(literal -1 binary64))))
(*.f64 (/.f64 (*.f64 (/.f64 (+.f64 y x) (+.f64 y x)) (/.f64 (-.f64 x y) (-.f64 y x))) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (/.f64 (-.f64 y x) (pow.f64 (fma.f64 y (-.f64 y x) (*.f64 x x)) #s(literal -1 binary64))))
(*.f64 (/.f64 (/.f64 (*.f64 (+.f64 y x) (-.f64 x y)) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (*.f64 (/.f64 (+.f64 y x) (+.f64 y x)) (/.f64 (-.f64 x y) (-.f64 x y)))) (/.f64 (fma.f64 y y (*.f64 x (-.f64 x y))) (+.f64 y x)))
(*.f64 (/.f64 (/.f64 (*.f64 (+.f64 y x) (-.f64 x y)) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (*.f64 (/.f64 (+.f64 y x) (+.f64 y x)) (/.f64 (-.f64 x y) (-.f64 x y)))) (/.f64 (fma.f64 y (-.f64 y x) (*.f64 x x)) (+.f64 y x)))
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(-.f64 (/.f64 (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) y) x) #s(literal 2 binary64)) (fma.f64 (/.f64 x y) #s(literal 2 binary64) #s(literal 2 binary64))) (/.f64 #s(literal 4 binary64) (fma.f64 (/.f64 x y) #s(literal 2 binary64) #s(literal 2 binary64))))
(+.f64 (*.f64 (/.f64 #s(literal 2 binary64) y) x) #s(literal -2 binary64))
(+.f64 #s(literal -2 binary64) (*.f64 (/.f64 #s(literal 2 binary64) y) x))

eval218.0ms (3.5%)

Memory
0.2MiB live, 232.9MiB allocated
Compiler

Compiled 27 293 to 3 225 computations (88.2% saved)

prune22.0ms (0.3%)

Memory
-15.0MiB live, 66.0MiB allocated
Pruning

10 alts after pruning (5 fresh and 5 done)

PrunedKeptTotal
New9643967
Fresh224
Picked145
Done011
Total96710977
Accuracy
100.0%
Counts
977 → 10
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.9%
(/.f64 (-.f64 x y) (+.f64 x y))
51.2%
(/.f64 #s(approx (- x y) (neg.f64 y)) (+.f64 x y))
100.0%
(-.f64 (/.f64 x (+.f64 y x)) (/.f64 y (+.f64 y x)))
100.0%
(-.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 y x) x)) (/.f64 y (+.f64 y x)))
99.7%
(*.f64 (/.f64 #s(literal -1 binary64) (+.f64 y x)) (-.f64 y x))
50.5%
#s(approx (/ (- x y) (+ x y)) (fma.f64 (/.f64 y x) #s(literal -2 binary64) #s(literal 1 binary64)))
51.9%
#s(approx (/ (- x y) (+ x y)) (fma.f64 (/.f64 x y) #s(literal 2 binary64) #s(literal -1 binary64)))
42.5%
#s(approx (/ (- x y) (+ x y)) (-.f64 #s(literal -1 binary64) #s(approx (/ (* x (+ (* (/ 2 y) x) -2)) y) (/.f64 (*.f64 (*.f64 #s(literal -2 binary64) x) (-.f64 y x)) (*.f64 y y)))))
49.1%
#s(approx (/ (- x y) (+ x y)) #s(literal 1 binary64))
50.1%
#s(approx (/ (- x y) (+ x y)) #s(literal -1 binary64))
Compiler

Compiled 207 to 143 computations (30.9% saved)

simplify101.0ms (1.6%)

Memory
3.3MiB live, 125.3MiB allocated
Algorithm
egg-herbie
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
cost-diff0
#s(approx (/ (* x (+ (* (/ 2 y) x) -2)) y) (/.f64 (*.f64 (*.f64 #s(literal -2 binary64) x) (-.f64 y x)) (*.f64 y y)))
cost-diff0
(-.f64 #s(literal -1 binary64) #s(approx (/ (* x (+ (* (/ 2 y) x) -2)) y) (/.f64 (*.f64 (*.f64 #s(literal -2 binary64) x) (-.f64 y x)) (*.f64 y y))))
cost-diff0
#s(approx (/ (- x y) (+ x y)) (-.f64 #s(literal -1 binary64) #s(approx (/ (* x (+ (* (/ 2 y) x) -2)) y) (/.f64 (*.f64 (*.f64 #s(literal -2 binary64) x) (-.f64 y x)) (*.f64 y y)))))
cost-diff1
(/.f64 (*.f64 (*.f64 #s(literal -2 binary64) x) (-.f64 y x)) (*.f64 y y))
cost-diff0
(-.f64 y x)
cost-diff0
(+.f64 y x)
cost-diff0
(/.f64 #s(literal -1 binary64) (+.f64 y x))
cost-diff2
(*.f64 (/.f64 #s(literal -1 binary64) (+.f64 y x)) (-.f64 y x))
cost-diff0
(/.f64 x y)
cost-diff0
(fma.f64 (/.f64 x y) #s(literal 2 binary64) #s(literal -1 binary64))
cost-diff0
#s(approx (/ (- x y) (+ x y)) (fma.f64 (/.f64 x y) #s(literal 2 binary64) #s(literal -1 binary64)))
cost-diff0
#s(approx (/ (- x y) (+ x y)) #s(literal 1 binary64))
cost-diff0
(+.f64 y x)
cost-diff0
(/.f64 (+.f64 y x) x)
cost-diff2
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 y x) x))
cost-diff4
(-.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 y x) x)) (/.f64 y (+.f64 y x)))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
033208
049212
197212
2191198
3373198
41060198
53230198
66409198
77703198
08009191
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(-.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 y x) x)) (/.f64 y (+.f64 y x)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 y x) x))
#s(literal 1 binary64)
(/.f64 (+.f64 y x) x)
(+.f64 y x)
y
x
(/.f64 y (+.f64 y x))
#s(approx (/ (- x y) (+ x y)) #s(literal 1 binary64))
#s(literal 1 binary64)
#s(approx (/ (- x y) (+ x y)) (fma.f64 (/.f64 x y) #s(literal 2 binary64) #s(literal -1 binary64)))
(fma.f64 (/.f64 x y) #s(literal 2 binary64) #s(literal -1 binary64))
(/.f64 x y)
x
y
#s(literal 2 binary64)
#s(literal -1 binary64)
(*.f64 (/.f64 #s(literal -1 binary64) (+.f64 y x)) (-.f64 y x))
(/.f64 #s(literal -1 binary64) (+.f64 y x))
#s(literal -1 binary64)
(+.f64 y x)
y
x
(-.f64 y x)
#s(approx (/ (- x y) (+ x y)) (-.f64 #s(literal -1 binary64) #s(approx (/ (* x (+ (* (/ 2 y) x) -2)) y) (/.f64 (*.f64 (*.f64 #s(literal -2 binary64) x) (-.f64 y x)) (*.f64 y y)))))
(-.f64 #s(literal -1 binary64) #s(approx (/ (* x (+ (* (/ 2 y) x) -2)) y) (/.f64 (*.f64 (*.f64 #s(literal -2 binary64) x) (-.f64 y x)) (*.f64 y y))))
#s(literal -1 binary64)
#s(approx (/ (* x (+ (* (/ 2 y) x) -2)) y) (/.f64 (*.f64 (*.f64 #s(literal -2 binary64) x) (-.f64 y x)) (*.f64 y y)))
(/.f64 (*.f64 (*.f64 #s(literal -2 binary64) x) (-.f64 y x)) (*.f64 y y))
(*.f64 (*.f64 #s(literal -2 binary64) x) (-.f64 y x))
(*.f64 #s(literal -2 binary64) x)
#s(literal -2 binary64)
x
(-.f64 y x)
y
(*.f64 y y)
Outputs
(-.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 y x) x)) (/.f64 y (+.f64 y x)))
(/.f64 (-.f64 x y) (+.f64 x y))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 y x) x))
(/.f64 x (+.f64 x y))
#s(literal 1 binary64)
(/.f64 (+.f64 y x) x)
(/.f64 (+.f64 x y) x)
(+.f64 y x)
(+.f64 x y)
y
x
(/.f64 y (+.f64 y x))
(/.f64 y (+.f64 x y))
#s(approx (/ (- x y) (+ x y)) #s(literal 1 binary64))
#s(literal 1 binary64)
#s(approx (/ (- x y) (+ x y)) (fma.f64 (/.f64 x y) #s(literal 2 binary64) #s(literal -1 binary64)))
#s(approx (/ (- x y) (+ x y)) (fma.f64 #s(literal 2 binary64) (/.f64 x y) #s(literal -1 binary64)))
(fma.f64 (/.f64 x y) #s(literal 2 binary64) #s(literal -1 binary64))
(fma.f64 #s(literal 2 binary64) (/.f64 x y) #s(literal -1 binary64))
(/.f64 x y)
x
y
#s(literal 2 binary64)
#s(literal -1 binary64)
(*.f64 (/.f64 #s(literal -1 binary64) (+.f64 y x)) (-.f64 y x))
(/.f64 (-.f64 x y) (+.f64 x y))
(/.f64 #s(literal -1 binary64) (+.f64 y x))
(/.f64 #s(literal -1 binary64) (+.f64 x y))
#s(literal -1 binary64)
(+.f64 y x)
(+.f64 x y)
y
x
(-.f64 y x)
#s(approx (/ (- x y) (+ x y)) (-.f64 #s(literal -1 binary64) #s(approx (/ (* x (+ (* (/ 2 y) x) -2)) y) (/.f64 (*.f64 (*.f64 #s(literal -2 binary64) x) (-.f64 y x)) (*.f64 y y)))))
#s(approx (/ (- x y) (+ x y)) (-.f64 #s(literal -1 binary64) #s(approx (/ (* x (+ (* (/ 2 y) x) -2)) y) (*.f64 (fma.f64 (/.f64 #s(literal 2 binary64) y) x #s(literal -2 binary64)) (/.f64 x y)))))
(-.f64 #s(literal -1 binary64) #s(approx (/ (* x (+ (* (/ 2 y) x) -2)) y) (/.f64 (*.f64 (*.f64 #s(literal -2 binary64) x) (-.f64 y x)) (*.f64 y y))))
(-.f64 #s(literal -1 binary64) #s(approx (/ (* x (+ (* (/ 2 y) x) -2)) y) (*.f64 (fma.f64 (/.f64 #s(literal 2 binary64) y) x #s(literal -2 binary64)) (/.f64 x y))))
#s(literal -1 binary64)
#s(approx (/ (* x (+ (* (/ 2 y) x) -2)) y) (/.f64 (*.f64 (*.f64 #s(literal -2 binary64) x) (-.f64 y x)) (*.f64 y y)))
#s(approx (/ (* x (+ (* (/ 2 y) x) -2)) y) (*.f64 (fma.f64 (/.f64 #s(literal 2 binary64) y) x #s(literal -2 binary64)) (/.f64 x y)))
(/.f64 (*.f64 (*.f64 #s(literal -2 binary64) x) (-.f64 y x)) (*.f64 y y))
(*.f64 (fma.f64 (/.f64 #s(literal 2 binary64) y) x #s(literal -2 binary64)) (/.f64 x y))
(*.f64 (*.f64 #s(literal -2 binary64) x) (-.f64 y x))
(*.f64 (*.f64 (-.f64 x y) x) #s(literal 2 binary64))
(*.f64 #s(literal -2 binary64) x)
#s(literal -2 binary64)
x
(-.f64 y x)
y
(*.f64 y y)

localize98.0ms (1.6%)

Memory
-1.4MiB live, 112.8MiB allocated
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
accuracy0.0
#s(approx (/ (* x (+ (* (/ 2 y) x) -2)) y) (/.f64 (*.f64 (*.f64 #s(literal -2 binary64) x) (-.f64 y x)) (*.f64 y y)))
accuracy0.0078125
(*.f64 (*.f64 #s(literal -2 binary64) x) (-.f64 y x))
accuracy17.524576294318642
(/.f64 (*.f64 (*.f64 #s(literal -2 binary64) x) (-.f64 y x)) (*.f64 y y))
accuracy31.478687001889767
#s(approx (/ (- x y) (+ x y)) (-.f64 #s(literal -1 binary64) #s(approx (/ (* x (+ (* (/ 2 y) x) -2)) y) (/.f64 (*.f64 (*.f64 #s(literal -2 binary64) x) (-.f64 y x)) (*.f64 y y)))))
accuracy0.0
(-.f64 y x)
accuracy0.0
(+.f64 y x)
accuracy0.03515625
(/.f64 #s(literal -1 binary64) (+.f64 y x))
accuracy0.140625
(*.f64 (/.f64 #s(literal -1 binary64) (+.f64 y x)) (-.f64 y x))
accuracy0.0
(fma.f64 (/.f64 x y) #s(literal 2 binary64) #s(literal -1 binary64))
accuracy0.0
(/.f64 x y)
accuracy30.809623737759775
#s(approx (/ (- x y) (+ x y)) (fma.f64 (/.f64 x y) #s(literal 2 binary64) #s(literal -1 binary64)))
accuracy32.58155595831663
#s(approx (/ (- x y) (+ x y)) #s(literal 1 binary64))
accuracy0.0078125
(/.f64 y (+.f64 y x))
accuracy0.01171875
(-.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 y x) x)) (/.f64 y (+.f64 y x)))
accuracy0.015625
(/.f64 (+.f64 y x) x)
accuracy0.6215516157244915
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 y x) x))
Samples
78.0ms256×0valid
Compiler

Compiled 152 to 32 computations (78.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 58.0ms
ival-div: 37.0ms (64.3% of total)
ival-mult: 10.0ms (17.4% of total)
ival-add: 5.0ms (8.7% of total)
ival-sub: 4.0ms (7% of total)
exact: 1.0ms (1.7% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series31.0ms (0.5%)

Memory
-10.2MiB live, 36.8MiB allocated
Counts
17 → 129
Calls
Call 1
Inputs
(-.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 y x) x)) (/.f64 y (+.f64 y x)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 y x) x))
(/.f64 (+.f64 y x) x)
(+.f64 y x)
#s(approx (/ (- x y) (+ x y)) #s(literal 1 binary64))
#s(approx (/ (- x y) (+ x y)) (fma.f64 (/.f64 x y) #s(literal 2 binary64) #s(literal -1 binary64)))
(fma.f64 (/.f64 x y) #s(literal 2 binary64) #s(literal -1 binary64))
(/.f64 x y)
(*.f64 (/.f64 #s(literal -1 binary64) (+.f64 y x)) (-.f64 y x))
(/.f64 #s(literal -1 binary64) (+.f64 y x))
(-.f64 y x)
(/.f64 (*.f64 (*.f64 #s(literal -2 binary64) x) (-.f64 y x)) (*.f64 y y))
#s(approx (/ (- x y) (+ x y)) (-.f64 #s(literal -1 binary64) #s(approx (/ (* x (+ (* (/ 2 y) x) -2)) y) (/.f64 (*.f64 (*.f64 #s(literal -2 binary64) x) (-.f64 y x)) (*.f64 y y)))))
(-.f64 #s(literal -1 binary64) #s(approx (/ (* x (+ (* (/ 2 y) x) -2)) y) (/.f64 (*.f64 (*.f64 #s(literal -2 binary64) x) (-.f64 y x)) (*.f64 y y))))
#s(approx (/ (* x (+ (* (/ 2 y) x) -2)) y) (/.f64 (*.f64 (*.f64 #s(literal -2 binary64) x) (-.f64 y x)) (*.f64 y y)))
(/.f64 y (+.f64 y x))
(*.f64 (*.f64 #s(literal -2 binary64) x) (-.f64 y x))
Outputs
-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)
(/ x y)
(* x (+ (* -1 (/ x (pow y 2))) (/ 1 y)))
(* x (+ (* x (- (/ x (pow y 3)) (/ 1 (pow y 2)))) (/ 1 y)))
(* x (+ (* x (- (* x (+ (* -1 (/ x (pow y 4))) (/ 1 (pow y 3)))) (/ 1 (pow y 2)))) (/ 1 y)))
(/ y x)
(/ (+ x y) x)
y
(+ x y)
(/ -1 y)
(- (/ x (pow y 2)) (/ 1 y))
(- (* x (+ (* -1 (/ x (pow y 3))) (/ 1 (pow y 2)))) (/ 1 y))
(- (* x (+ (* x (- (/ x (pow y 4)) (/ 1 (pow y 3)))) (/ 1 (pow y 2)))) (/ 1 y))
(+ y (* -1 x))
(* -2 (/ x y))
(* x (- (* 2 (/ x (pow y 2))) (* 2 (/ 1 y))))
1
(+ 1 (* -1 (/ x y)))
(+ 1 (* x (- (/ x (pow y 2)) (/ 1 y))))
(+ 1 (* x (- (* x (+ (* -1 (/ x (pow y 3))) (/ 1 (pow y 2)))) (/ 1 y))))
(* -2 (* x y))
(* x (+ (* -2 y) (* 2 x)))
(+ 1 (* -2 (/ y x)))
(- (+ 1 (/ (pow y 2) (pow x 2))) (+ (* -1 (/ (pow y 2) (pow x 2))) (* 2 (/ y x))))
(- (+ 1 (+ (* -1 (/ (pow y 3) (pow x 3))) (/ (pow y 2) (pow x 2)))) (+ (* -1 (/ (pow y 2) (pow x 2))) (+ (* 2 (/ y x)) (/ (pow y 3) (pow x 3)))))
(+ 1 (* -1 (/ y x)))
(- (+ 1 (/ (pow y 2) (pow x 2))) (/ y x))
(- (+ 1 (* -1 (/ (pow y 3) (pow x 3)))) (+ (* -1 (/ (pow y 2) (pow x 2))) (/ y x)))
(+ 1 (/ y x))
x
(* x (+ 1 (/ y x)))
(- (+ 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))))
(* 2 (/ x y))
(* x (- (* 2 (/ 1 y)) (/ 1 x)))
(+ 1 (* -1 (/ (- y (* -1 y)) x)))
(+ 1 (+ (* -1 (/ (- y (* -1 y)) x)) (/ (* y (- y (* -1 y))) (pow x 2))))
(+ 1 (+ (* -1 (/ (* (pow y 2) (- y (* -1 y))) (pow x 3))) (+ (* -1 (/ (- y (* -1 y)) x)) (/ (* y (- y (* -1 y))) (pow x 2)))))
(/ -1 x)
(/ (- (/ y x) 1) x)
(/ (- (* -1 (/ (pow y 2) (pow x 2))) (+ 1 (* -1 (/ y x)))) x)
(/ (- (/ (pow y 3) (pow x 3)) (+ 1 (+ (* -1 (/ y x)) (/ (pow y 2) (pow x 2))))) x)
(* -1 x)
(* x (- (/ y x) 1))
(* 2 (/ (pow x 2) (pow y 2)))
(* (pow x 2) (- (* 2 (/ 1 (pow y 2))) (* 2 (/ 1 (* x y)))))
(* -2 (/ (pow x 2) (pow y 2)))
(* (pow x 2) (- (* 2 (/ 1 (* x y))) (* 2 (/ 1 (pow y 2)))))
(* (pow x 2) (- (/ 2 (* x y)) (+ (* 2 (/ 1 (pow y 2))) (/ 1 (pow x 2)))))
(/ (+ y (* -1 (/ (pow y 2) x))) x)
(/ (- (+ y (/ (pow y 3) (pow x 2))) (/ (pow y 2) x)) x)
(/ (- (+ y (* -1 (/ (pow y 4) (pow x 3)))) (+ (* -1 (/ (pow y 3) (pow x 2))) (/ (pow y 2) x))) x)
(* 2 (pow x 2))
(* (pow x 2) (+ 2 (* -2 (/ y x))))
(+ 1 (* -1 (/ (- (+ y (* -2 (/ (pow y 2) x))) (* -1 y)) x)))
(+ 1 (* -1 (/ (- (+ y (* -1 (/ (+ (* -2 (/ (pow y 3) x)) (* 2 (pow y 2))) x))) (* -1 y)) x)))
(+ 1 (* -1 (/ (- (* -1 (/ (pow y 2) x)) (* -1 y)) x)))
(+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow y 3) x)) (* -1 (pow y 2))) x)) (* -1 y)) x)))
(* -1 (* x (- (* -1 (/ y x)) 1)))
(+ 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 (* x (- (/ 1 x) (* 2 (/ 1 y)))))
(* -1 (/ (+ 1 (* -1 (/ y x))) x))
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (pow y 2) x)) (* -1 y)) x))) x))
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow y 3) x)) (* -1 (pow y 2))) x)) (* -1 y)) x))) x))
(* -1 (* x (+ 1 (* -1 (/ y x)))))
(* (pow x 2) (- (* -1 (/ (- (/ 1 x) (* 2 (/ 1 y))) x)) (* 2 (/ 1 (pow y 2)))))
(* -1 (/ (+ (* -1 y) (/ (pow y 2) x)) x))
(* -1 (/ (+ (* -1 y) (* -1 (/ (- (/ (pow y 3) x) (pow y 2)) x))) x))
(* -1 (/ (+ (* -1 y) (* -1 (/ (- (* -1 (/ (- (/ (pow y 4) x) (pow y 3)) x)) (pow y 2)) x))) 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 (* y (- (/ y (pow x 2)) (/ 1 x))))
(+ 1 (* y (- (* y (+ (* -1 (/ y (pow x 3))) (/ 1 (pow x 2)))) (/ 1 x))))
(/ (+ (* -1 y) (* 2 x)) y)
(- (/ y (pow x 2)) (/ 1 x))
(- (* y (+ (* -1 (/ y (pow x 3))) (/ 1 (pow x 2)))) (/ 1 x))
(- (* y (+ (* y (- (/ y (pow x 4)) (/ 1 (pow x 3)))) (/ 1 (pow x 2)))) (/ 1 x))
(- y x)
(/ (+ (* -2 (* x y)) (* 2 (pow x 2))) (pow y 2))
(/ (- (* 2 (* x y)) (* 2 (pow x 2))) (pow y 2))
(/ (- (* y (- (* -1 y) (* -2 x))) (* 2 (pow x 2))) (pow y 2))
(* y (+ (* -1 (/ y (pow x 2))) (/ 1 x)))
(* y (+ (* y (- (/ y (pow x 3)) (/ 1 (pow x 2)))) (/ 1 x)))
(* y (+ (* y (- (* y (+ (* -1 (/ y (pow x 4))) (/ 1 (pow x 3)))) (/ 1 (pow x 2)))) (/ 1 x)))
(+ (* -2 (* x y)) (* 2 (pow x 2)))
(- (+ (* -1 (/ (pow x 2) (pow y 2))) (* 2 (/ x y))) (+ 1 (/ (pow x 2) (pow y 2))))
(- (+ (* -1 (/ (pow x 2) (pow y 2))) (+ (* 2 (/ x y)) (/ (pow x 3) (pow y 3)))) (+ 1 (+ (* -1 (/ (pow x 3) (pow y 3))) (/ (pow x 2) (pow y 2)))))
(/ (+ x (* -1 (/ (pow x 2) y))) y)
(/ (- (+ x (/ (pow x 3) (pow y 2))) (/ (pow x 2) y)) y)
(/ (- (+ x (* -1 (/ (pow x 4) (pow y 3)))) (+ (* -1 (/ (pow x 3) (pow y 2))) (/ (pow x 2) y))) y)
(* y (+ (/ 1 x) (/ 1 y)))
(* y (+ 1 (/ x y)))
(- (/ 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 x) x) y)) 1)
(- (+ (* -1 (/ (- (* -1 x) x) y)) (/ (* x (- (* -1 x) x)) (pow y 2))) 1)
(- (+ (* -1 (/ (* (pow x 2) (- (* -1 x) x)) (pow y 3))) (+ (* -1 (/ (- (* -1 x) x) y)) (/ (* x (- (* -1 x) x)) (pow y 2)))) 1)
(/ (- (/ x y) 1) y)
(/ (- (* -1 (/ (pow x 2) (pow y 2))) (+ 1 (* -1 (/ x y)))) y)
(/ (- (/ (pow x 3) (pow y 3)) (+ 1 (+ (* -1 (/ x y)) (/ (pow x 2) (pow y 2))))) y)
(* y (+ 1 (* -1 (/ x y))))
(/ (+ (* -2 x) (* 2 (/ (pow x 2) y))) y)
(- (* -2 (/ (pow x 2) (pow y 2))) (+ 1 (* -2 (/ x y))))
(- (+ 1 (/ (pow x 2) (pow y 2))) (/ x y))
(- (+ 1 (* -1 (/ (pow x 3) (pow y 3)))) (+ (* -1 (/ (pow x 2) (pow y 2))) (/ x y)))
(* y (+ (* -2 x) (* 2 (/ (pow x 2) y))))
(- (* -1 (/ (- (+ (* -1 x) (* 2 (/ (pow x 2) y))) x) y)) 1)
(- (* -1 (/ (- (+ (* -1 x) (* -1 (/ (- (* 2 (/ (pow x 3) y)) (* 2 (pow x 2))) y))) x) y)) 1)
(* -1 (/ (+ (* -1 x) (/ (pow x 2) y)) y))
(* -1 (/ (+ (* -1 x) (* -1 (/ (- (/ (pow x 3) y) (pow x 2)) y))) y))
(* -1 (/ (+ (* -1 x) (* -1 (/ (- (* -1 (/ (- (/ (pow x 4) y) (pow x 3)) y)) (pow x 2)) y))) y))
(* -1 (* y (- (* -1 (/ 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 (* -1 (/ x y))) y))
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (pow x 2) y)) (* -1 x)) y))) y))
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow x 3) y)) (* -1 (pow x 2))) y)) (* -1 x)) y))) y))
(* -1 (* y (- (/ x y) 1)))
(* -1 (/ (+ (* -2 (/ (pow x 2) y)) (* 2 x)) y))
(- (* -1 (/ (- (* 2 (/ (pow x 2) y)) (* 2 x)) y)) 1)
(+ 1 (* -1 (/ (- (* -1 (/ (pow x 2) y)) (* -1 x)) y)))
(+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow x 3) y)) (* -1 (pow x 2))) y)) (* -1 x)) y)))
(* -1 (* y (+ (* -2 (/ (pow x 2) y)) (* 2 x))))
Calls

6 calls:

TimeVariablePointExpression
10.0ms
y
@-inf
((- (/ 1 (/ (+ y x) x)) (/ y (+ y x))) (/ 1 (/ (+ y x) x)) (/ (+ y x) x) (+ y x) (/ (- x y) (+ x y)) (/ (- x y) (+ x y)) (+ (* (/ x y) 2) -1) (/ x y) (* (/ -1 (+ y x)) (- y x)) (/ -1 (+ y x)) (- y x) (/ (* (* -2 x) (- y x)) (* y y)) (/ (- x y) (+ x y)) (- -1 (/ (* x (+ (* (/ 2 y) x) -2)) y)) (/ (* x (+ (* (/ 2 y) x) -2)) y) (/ y (+ y x)) (* (* -2 x) (- y x)))
8.0ms
y
@inf
((- (/ 1 (/ (+ y x) x)) (/ y (+ y x))) (/ 1 (/ (+ y x) x)) (/ (+ y x) x) (+ y x) (/ (- x y) (+ x y)) (/ (- x y) (+ x y)) (+ (* (/ x y) 2) -1) (/ x y) (* (/ -1 (+ y x)) (- y x)) (/ -1 (+ y x)) (- y x) (/ (* (* -2 x) (- y x)) (* y y)) (/ (- x y) (+ x y)) (- -1 (/ (* x (+ (* (/ 2 y) x) -2)) y)) (/ (* x (+ (* (/ 2 y) x) -2)) y) (/ y (+ y x)) (* (* -2 x) (- y x)))
4.0ms
x
@0
((- (/ 1 (/ (+ y x) x)) (/ y (+ y x))) (/ 1 (/ (+ y x) x)) (/ (+ y x) x) (+ y x) (/ (- x y) (+ x y)) (/ (- x y) (+ x y)) (+ (* (/ x y) 2) -1) (/ x y) (* (/ -1 (+ y x)) (- y x)) (/ -1 (+ y x)) (- y x) (/ (* (* -2 x) (- y x)) (* y y)) (/ (- x y) (+ x y)) (- -1 (/ (* x (+ (* (/ 2 y) x) -2)) y)) (/ (* x (+ (* (/ 2 y) x) -2)) y) (/ y (+ y x)) (* (* -2 x) (- y x)))
3.0ms
x
@inf
((- (/ 1 (/ (+ y x) x)) (/ y (+ y x))) (/ 1 (/ (+ y x) x)) (/ (+ y x) x) (+ y x) (/ (- x y) (+ x y)) (/ (- x y) (+ x y)) (+ (* (/ x y) 2) -1) (/ x y) (* (/ -1 (+ y x)) (- y x)) (/ -1 (+ y x)) (- y x) (/ (* (* -2 x) (- y x)) (* y y)) (/ (- x y) (+ x y)) (- -1 (/ (* x (+ (* (/ 2 y) x) -2)) y)) (/ (* x (+ (* (/ 2 y) x) -2)) y) (/ y (+ y x)) (* (* -2 x) (- y x)))
2.0ms
x
@-inf
((- (/ 1 (/ (+ y x) x)) (/ y (+ y x))) (/ 1 (/ (+ y x) x)) (/ (+ y x) x) (+ y x) (/ (- x y) (+ x y)) (/ (- x y) (+ x y)) (+ (* (/ x y) 2) -1) (/ x y) (* (/ -1 (+ y x)) (- y x)) (/ -1 (+ y x)) (- y x) (/ (* (* -2 x) (- y x)) (* y y)) (/ (- x y) (+ x y)) (- -1 (/ (* x (+ (* (/ 2 y) x) -2)) y)) (/ (* x (+ (* (/ 2 y) x) -2)) y) (/ y (+ y x)) (* (* -2 x) (- y x)))

simplify155.0ms (2.5%)

Memory
20.9MiB live, 208.3MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04771880
115391738
244561548
083411447
Stop Event
iter limit
node limit
Counts
129 → 127
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)
(/ x y)
(* x (+ (* -1 (/ x (pow y 2))) (/ 1 y)))
(* x (+ (* x (- (/ x (pow y 3)) (/ 1 (pow y 2)))) (/ 1 y)))
(* x (+ (* x (- (* x (+ (* -1 (/ x (pow y 4))) (/ 1 (pow y 3)))) (/ 1 (pow y 2)))) (/ 1 y)))
(/ y x)
(/ (+ x y) x)
y
(+ x y)
(/ -1 y)
(- (/ x (pow y 2)) (/ 1 y))
(- (* x (+ (* -1 (/ x (pow y 3))) (/ 1 (pow y 2)))) (/ 1 y))
(- (* x (+ (* x (- (/ x (pow y 4)) (/ 1 (pow y 3)))) (/ 1 (pow y 2)))) (/ 1 y))
(+ y (* -1 x))
(* -2 (/ x y))
(* x (- (* 2 (/ x (pow y 2))) (* 2 (/ 1 y))))
1
(+ 1 (* -1 (/ x y)))
(+ 1 (* x (- (/ x (pow y 2)) (/ 1 y))))
(+ 1 (* x (- (* x (+ (* -1 (/ x (pow y 3))) (/ 1 (pow y 2)))) (/ 1 y))))
(* -2 (* x y))
(* x (+ (* -2 y) (* 2 x)))
(+ 1 (* -2 (/ y x)))
(- (+ 1 (/ (pow y 2) (pow x 2))) (+ (* -1 (/ (pow y 2) (pow x 2))) (* 2 (/ y x))))
(- (+ 1 (+ (* -1 (/ (pow y 3) (pow x 3))) (/ (pow y 2) (pow x 2)))) (+ (* -1 (/ (pow y 2) (pow x 2))) (+ (* 2 (/ y x)) (/ (pow y 3) (pow x 3)))))
(+ 1 (* -1 (/ y x)))
(- (+ 1 (/ (pow y 2) (pow x 2))) (/ y x))
(- (+ 1 (* -1 (/ (pow y 3) (pow x 3)))) (+ (* -1 (/ (pow y 2) (pow x 2))) (/ y x)))
(+ 1 (/ y x))
x
(* x (+ 1 (/ y x)))
(- (+ 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))))
(* 2 (/ x y))
(* x (- (* 2 (/ 1 y)) (/ 1 x)))
(+ 1 (* -1 (/ (- y (* -1 y)) x)))
(+ 1 (+ (* -1 (/ (- y (* -1 y)) x)) (/ (* y (- y (* -1 y))) (pow x 2))))
(+ 1 (+ (* -1 (/ (* (pow y 2) (- y (* -1 y))) (pow x 3))) (+ (* -1 (/ (- y (* -1 y)) x)) (/ (* y (- y (* -1 y))) (pow x 2)))))
(/ -1 x)
(/ (- (/ y x) 1) x)
(/ (- (* -1 (/ (pow y 2) (pow x 2))) (+ 1 (* -1 (/ y x)))) x)
(/ (- (/ (pow y 3) (pow x 3)) (+ 1 (+ (* -1 (/ y x)) (/ (pow y 2) (pow x 2))))) x)
(* -1 x)
(* x (- (/ y x) 1))
(* 2 (/ (pow x 2) (pow y 2)))
(* (pow x 2) (- (* 2 (/ 1 (pow y 2))) (* 2 (/ 1 (* x y)))))
(* -2 (/ (pow x 2) (pow y 2)))
(* (pow x 2) (- (* 2 (/ 1 (* x y))) (* 2 (/ 1 (pow y 2)))))
(* (pow x 2) (- (/ 2 (* x y)) (+ (* 2 (/ 1 (pow y 2))) (/ 1 (pow x 2)))))
(/ (+ y (* -1 (/ (pow y 2) x))) x)
(/ (- (+ y (/ (pow y 3) (pow x 2))) (/ (pow y 2) x)) x)
(/ (- (+ y (* -1 (/ (pow y 4) (pow x 3)))) (+ (* -1 (/ (pow y 3) (pow x 2))) (/ (pow y 2) x))) x)
(* 2 (pow x 2))
(* (pow x 2) (+ 2 (* -2 (/ y x))))
(+ 1 (* -1 (/ (- (+ y (* -2 (/ (pow y 2) x))) (* -1 y)) x)))
(+ 1 (* -1 (/ (- (+ y (* -1 (/ (+ (* -2 (/ (pow y 3) x)) (* 2 (pow y 2))) x))) (* -1 y)) x)))
(+ 1 (* -1 (/ (- (* -1 (/ (pow y 2) x)) (* -1 y)) x)))
(+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow y 3) x)) (* -1 (pow y 2))) x)) (* -1 y)) x)))
(* -1 (* x (- (* -1 (/ y x)) 1)))
(+ 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 (* x (- (/ 1 x) (* 2 (/ 1 y)))))
(* -1 (/ (+ 1 (* -1 (/ y x))) x))
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (pow y 2) x)) (* -1 y)) x))) x))
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow y 3) x)) (* -1 (pow y 2))) x)) (* -1 y)) x))) x))
(* -1 (* x (+ 1 (* -1 (/ y x)))))
(* (pow x 2) (- (* -1 (/ (- (/ 1 x) (* 2 (/ 1 y))) x)) (* 2 (/ 1 (pow y 2)))))
(* -1 (/ (+ (* -1 y) (/ (pow y 2) x)) x))
(* -1 (/ (+ (* -1 y) (* -1 (/ (- (/ (pow y 3) x) (pow y 2)) x))) x))
(* -1 (/ (+ (* -1 y) (* -1 (/ (- (* -1 (/ (- (/ (pow y 4) x) (pow y 3)) x)) (pow y 2)) x))) 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 (* y (- (/ y (pow x 2)) (/ 1 x))))
(+ 1 (* y (- (* y (+ (* -1 (/ y (pow x 3))) (/ 1 (pow x 2)))) (/ 1 x))))
(/ (+ (* -1 y) (* 2 x)) y)
(- (/ y (pow x 2)) (/ 1 x))
(- (* y (+ (* -1 (/ y (pow x 3))) (/ 1 (pow x 2)))) (/ 1 x))
(- (* y (+ (* y (- (/ y (pow x 4)) (/ 1 (pow x 3)))) (/ 1 (pow x 2)))) (/ 1 x))
(- y x)
(/ (+ (* -2 (* x y)) (* 2 (pow x 2))) (pow y 2))
(/ (- (* 2 (* x y)) (* 2 (pow x 2))) (pow y 2))
(/ (- (* y (- (* -1 y) (* -2 x))) (* 2 (pow x 2))) (pow y 2))
(* y (+ (* -1 (/ y (pow x 2))) (/ 1 x)))
(* y (+ (* y (- (/ y (pow x 3)) (/ 1 (pow x 2)))) (/ 1 x)))
(* y (+ (* y (- (* y (+ (* -1 (/ y (pow x 4))) (/ 1 (pow x 3)))) (/ 1 (pow x 2)))) (/ 1 x)))
(+ (* -2 (* x y)) (* 2 (pow x 2)))
(- (+ (* -1 (/ (pow x 2) (pow y 2))) (* 2 (/ x y))) (+ 1 (/ (pow x 2) (pow y 2))))
(- (+ (* -1 (/ (pow x 2) (pow y 2))) (+ (* 2 (/ x y)) (/ (pow x 3) (pow y 3)))) (+ 1 (+ (* -1 (/ (pow x 3) (pow y 3))) (/ (pow x 2) (pow y 2)))))
(/ (+ x (* -1 (/ (pow x 2) y))) y)
(/ (- (+ x (/ (pow x 3) (pow y 2))) (/ (pow x 2) y)) y)
(/ (- (+ x (* -1 (/ (pow x 4) (pow y 3)))) (+ (* -1 (/ (pow x 3) (pow y 2))) (/ (pow x 2) y))) y)
(* y (+ (/ 1 x) (/ 1 y)))
(* y (+ 1 (/ x y)))
(- (/ 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 x) x) y)) 1)
(- (+ (* -1 (/ (- (* -1 x) x) y)) (/ (* x (- (* -1 x) x)) (pow y 2))) 1)
(- (+ (* -1 (/ (* (pow x 2) (- (* -1 x) x)) (pow y 3))) (+ (* -1 (/ (- (* -1 x) x) y)) (/ (* x (- (* -1 x) x)) (pow y 2)))) 1)
(/ (- (/ x y) 1) y)
(/ (- (* -1 (/ (pow x 2) (pow y 2))) (+ 1 (* -1 (/ x y)))) y)
(/ (- (/ (pow x 3) (pow y 3)) (+ 1 (+ (* -1 (/ x y)) (/ (pow x 2) (pow y 2))))) y)
(* y (+ 1 (* -1 (/ x y))))
(/ (+ (* -2 x) (* 2 (/ (pow x 2) y))) y)
(- (* -2 (/ (pow x 2) (pow y 2))) (+ 1 (* -2 (/ x y))))
(- (+ 1 (/ (pow x 2) (pow y 2))) (/ x y))
(- (+ 1 (* -1 (/ (pow x 3) (pow y 3)))) (+ (* -1 (/ (pow x 2) (pow y 2))) (/ x y)))
(* y (+ (* -2 x) (* 2 (/ (pow x 2) y))))
(- (* -1 (/ (- (+ (* -1 x) (* 2 (/ (pow x 2) y))) x) y)) 1)
(- (* -1 (/ (- (+ (* -1 x) (* -1 (/ (- (* 2 (/ (pow x 3) y)) (* 2 (pow x 2))) y))) x) y)) 1)
(* -1 (/ (+ (* -1 x) (/ (pow x 2) y)) y))
(* -1 (/ (+ (* -1 x) (* -1 (/ (- (/ (pow x 3) y) (pow x 2)) y))) y))
(* -1 (/ (+ (* -1 x) (* -1 (/ (- (* -1 (/ (- (/ (pow x 4) y) (pow x 3)) y)) (pow x 2)) y))) y))
(* -1 (* y (- (* -1 (/ 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 (* -1 (/ x y))) y))
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (pow x 2) y)) (* -1 x)) y))) y))
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow x 3) y)) (* -1 (pow x 2))) y)) (* -1 x)) y))) y))
(* -1 (* y (- (/ x y) 1)))
(* -1 (/ (+ (* -2 (/ (pow x 2) y)) (* 2 x)) y))
(- (* -1 (/ (- (* 2 (/ (pow x 2) y)) (* 2 x)) y)) 1)
(+ 1 (* -1 (/ (- (* -1 (/ (pow x 2) y)) (* -1 x)) y)))
(+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow x 3) y)) (* -1 (pow x 2))) y)) (* -1 x)) y)))
(* -1 (* y (+ (* -2 (/ (pow x 2) y)) (* 2 x))))
Outputs
-1
#s(literal -1 binary64)
(- (* 2 (/ x y)) 1)
(fma.f64 (/.f64 x y) #s(literal 2 binary64) #s(literal -1 binary64))
(- (* x (+ (* -2 (/ x (pow y 2))) (* 2 (/ 1 y)))) 1)
(fma.f64 (/.f64 x y) (fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal 2 binary64)) #s(literal -1 binary64))
(- (* x (+ (* x (- (* 2 (/ x (pow y 3))) (* 2 (/ 1 (pow y 2))))) (* 2 (/ 1 y)))) 1)
(fma.f64 (fma.f64 (*.f64 (/.f64 (/.f64 #s(literal 2 binary64) y) y) (-.f64 (/.f64 x y) #s(literal 1 binary64))) x (/.f64 #s(literal 2 binary64) y)) x #s(literal -1 binary64))
(/ x y)
(/.f64 x y)
(* x (+ (* -1 (/ x (pow y 2))) (/ 1 y)))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) y) x)
(* x (+ (* x (- (/ x (pow y 3)) (/ 1 (pow y 2)))) (/ 1 y)))
(/.f64 (fma.f64 (*.f64 x (/.f64 x y)) (-.f64 (/.f64 x y) #s(literal 1 binary64)) x) y)
(* x (+ (* x (- (* x (+ (* -1 (/ x (pow y 4))) (/ 1 (pow y 3)))) (/ 1 (pow y 2)))) (/ 1 y)))
(*.f64 (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) (/.f64 x (pow.f64 y #s(literal 4 binary64)))) x (/.f64 #s(literal -1 binary64) (*.f64 y y))) x (/.f64 #s(literal 1 binary64) y)) x)
(/ y x)
(/.f64 y x)
(/ (+ x y) x)
(/.f64 (+.f64 x y) x)
y
(+ x y)
(+.f64 x y)
(/ -1 y)
(/.f64 #s(literal -1 binary64) y)
(- (/ x (pow y 2)) (/ 1 y))
(/.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) y)
(- (* x (+ (* -1 (/ x (pow y 3))) (/ 1 (pow y 2)))) (/ 1 y))
(/.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) y) x #s(literal -1 binary64)) y)
(- (* x (+ (* x (- (/ x (pow y 4)) (/ 1 (pow y 3)))) (/ 1 (pow y 2)))) (/ 1 y))
(fma.f64 (*.f64 x x) (-.f64 (/.f64 x (pow.f64 y #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (/.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) y))
(+ y (* -1 x))
(-.f64 y x)
(* -2 (/ x y))
(*.f64 (/.f64 x y) #s(literal -2 binary64))
(* x (- (* 2 (/ x (pow y 2))) (* 2 (/ 1 y))))
(*.f64 (/.f64 x y) (fma.f64 (/.f64 #s(literal 2 binary64) y) x #s(literal -2 binary64)))
1
#s(literal 1 binary64)
(+ 1 (* -1 (/ x y)))
(-.f64 #s(literal 1 binary64) (/.f64 x y))
(+ 1 (* x (- (/ x (pow y 2)) (/ 1 y))))
(fma.f64 (/.f64 x y) (-.f64 (/.f64 x y) #s(literal 1 binary64)) #s(literal 1 binary64))
(+ 1 (* x (- (* x (+ (* -1 (/ x (pow y 3))) (/ 1 (pow y 2)))) (/ 1 y))))
(fma.f64 (/.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) y) x #s(literal -1 binary64)) y) x #s(literal 1 binary64))
(* -2 (* x y))
(*.f64 (*.f64 x y) #s(literal -2 binary64))
(* x (+ (* -2 y) (* 2 x)))
(*.f64 (*.f64 #s(literal -2 binary64) (-.f64 y x)) x)
(+ 1 (* -2 (/ y x)))
(fma.f64 (/.f64 y x) #s(literal -2 binary64) #s(literal 1 binary64))
(- (+ 1 (/ (pow y 2) (pow x 2))) (+ (* -1 (/ (pow y 2) (pow x 2))) (* 2 (/ y x))))
(fma.f64 (/.f64 y x) (fma.f64 (/.f64 y x) #s(literal 2 binary64) #s(literal -2 binary64)) #s(literal 1 binary64))
(- (+ 1 (+ (* -1 (/ (pow y 3) (pow x 3))) (/ (pow y 2) (pow x 2)))) (+ (* -1 (/ (pow y 2) (pow x 2))) (+ (* 2 (/ y x)) (/ (pow y 3) (pow x 3)))))
(-.f64 (+.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y x) #s(literal 3 binary64))) (*.f64 (*.f64 (/.f64 (/.f64 y x) x) #s(literal 2 binary64)) y)) (fma.f64 (/.f64 y x) #s(literal 2 binary64) (pow.f64 (/.f64 y x) #s(literal 3 binary64))))
(+ 1 (* -1 (/ y x)))
(-.f64 #s(literal 1 binary64) (/.f64 y x))
(- (+ 1 (/ (pow y 2) (pow x 2))) (/ y x))
(fma.f64 (/.f64 y x) (-.f64 (/.f64 y x) #s(literal 1 binary64)) #s(literal 1 binary64))
(- (+ 1 (* -1 (/ (pow y 3) (pow x 3)))) (+ (* -1 (/ (pow y 2) (pow x 2))) (/ y x)))
(fma.f64 (/.f64 y x) (-.f64 (/.f64 y x) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y x) #s(literal 3 binary64))))
(+ 1 (/ y x))
(+.f64 (/.f64 y x) #s(literal 1 binary64))
x
(* x (+ 1 (/ y x)))
(fma.f64 (/.f64 y x) x x)
(- (+ 1 (* -1 (/ y x))) (/ y x))
(fma.f64 (/.f64 y x) #s(literal -2 binary64) #s(literal 1 binary64))
(- (+ 1 (+ (* -1 (/ y x)) (* -1 (/ (* y (- (* -1 y) y)) (pow x 2))))) (/ y x))
(fma.f64 (/.f64 y x) (fma.f64 (/.f64 y x) #s(literal 2 binary64) #s(literal -2 binary64)) #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 (fma.f64 (fma.f64 (/.f64 y (pow.f64 x #s(literal 3 binary64))) #s(literal -2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) x) x)) y (/.f64 #s(literal -2 binary64) x)) y #s(literal 1 binary64))
(* 2 (/ x y))
(*.f64 (/.f64 x y) #s(literal 2 binary64))
(* x (- (* 2 (/ 1 y)) (/ 1 x)))
(fma.f64 (/.f64 x y) #s(literal 2 binary64) #s(literal -1 binary64))
(+ 1 (* -1 (/ (- y (* -1 y)) x)))
(fma.f64 (/.f64 y x) #s(literal -2 binary64) #s(literal 1 binary64))
(+ 1 (+ (* -1 (/ (- y (* -1 y)) x)) (/ (* y (- y (* -1 y))) (pow x 2))))
(fma.f64 (/.f64 y x) (fma.f64 (/.f64 y x) #s(literal 2 binary64) #s(literal -2 binary64)) #s(literal 1 binary64))
(+ 1 (+ (* -1 (/ (* (pow y 2) (- y (* -1 y))) (pow x 3))) (+ (* -1 (/ (- y (* -1 y)) x)) (/ (* y (- y (* -1 y))) (pow x 2)))))
(fma.f64 (fma.f64 (fma.f64 (/.f64 y (pow.f64 x #s(literal 3 binary64))) #s(literal -2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) x) x)) y (/.f64 #s(literal -2 binary64) x)) y #s(literal 1 binary64))
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(/ (- (/ y x) 1) x)
(/.f64 (-.f64 (/.f64 y x) #s(literal 1 binary64)) x)
(/ (- (* -1 (/ (pow y 2) (pow x 2))) (+ 1 (* -1 (/ y x)))) x)
(/.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x) y #s(literal -1 binary64)) x)
(/ (- (/ (pow y 3) (pow x 3)) (+ 1 (+ (* -1 (/ y x)) (/ (pow y 2) (pow x 2))))) x)
(/.f64 (-.f64 (pow.f64 (/.f64 y x) #s(literal 3 binary64)) (fma.f64 (/.f64 y x) (-.f64 (/.f64 y x) #s(literal 1 binary64)) #s(literal 1 binary64))) x)
(* -1 x)
(neg.f64 x)
(* x (- (/ y x) 1))
(fma.f64 (/.f64 y x) x (neg.f64 x))
(* 2 (/ (pow x 2) (pow y 2)))
(*.f64 (*.f64 (/.f64 (/.f64 x y) y) x) #s(literal 2 binary64))
(* (pow x 2) (- (* 2 (/ 1 (pow y 2))) (* 2 (/ 1 (* x y)))))
(*.f64 (-.f64 (/.f64 (/.f64 #s(literal 2 binary64) y) y) (/.f64 (/.f64 #s(literal 2 binary64) y) x)) (*.f64 x x))
(* -2 (/ (pow x 2) (pow y 2)))
(*.f64 (*.f64 (/.f64 (/.f64 x y) y) x) #s(literal -2 binary64))
(* (pow x 2) (- (* 2 (/ 1 (* x y))) (* 2 (/ 1 (pow y 2)))))
(*.f64 (-.f64 (/.f64 (/.f64 #s(literal 2 binary64) y) x) (/.f64 (/.f64 #s(literal 2 binary64) y) y)) (*.f64 x x))
(* (pow x 2) (- (/ 2 (* x y)) (+ (* 2 (/ 1 (pow y 2))) (/ 1 (pow x 2)))))
(*.f64 (-.f64 (-.f64 (/.f64 (/.f64 #s(literal 2 binary64) y) x) (/.f64 (/.f64 #s(literal 2 binary64) y) y)) (/.f64 (/.f64 #s(literal 1 binary64) x) x)) (*.f64 x x))
(/ (+ y (* -1 (/ (pow y 2) x))) x)
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x) y)
(/ (- (+ y (/ (pow y 3) (pow x 2))) (/ (pow y 2) x)) x)
(/.f64 (fma.f64 (*.f64 y (/.f64 y x)) (-.f64 (/.f64 y x) #s(literal 1 binary64)) y) x)
(/ (- (+ y (* -1 (/ (pow y 4) (pow x 3)))) (+ (* -1 (/ (pow y 3) (pow x 2))) (/ (pow y 2) x))) x)
(/.f64 (+.f64 (/.f64 (fma.f64 (neg.f64 y) y (/.f64 (fma.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) x) #s(literal -1 binary64) (pow.f64 y #s(literal 3 binary64))) x)) x) y) x)
(* 2 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 2 binary64))
(* (pow x 2) (+ 2 (* -2 (/ y x))))
(*.f64 (*.f64 (fma.f64 (/.f64 y x) #s(literal -2 binary64) #s(literal 2 binary64)) x) x)
(+ 1 (* -1 (/ (- (+ y (* -2 (/ (pow y 2) x))) (* -1 y)) x)))
(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (fma.f64 (/.f64 y x) #s(literal -2 binary64) #s(literal 2 binary64))) x))
(+ 1 (* -1 (/ (- (+ y (* -1 (/ (+ (* -2 (/ (pow y 3) x)) (* 2 (pow y 2))) x))) (* -1 y)) x)))
(+.f64 (/.f64 (fma.f64 #s(literal -2 binary64) y (/.f64 (*.f64 y (*.f64 y (fma.f64 (/.f64 y x) #s(literal -2 binary64) #s(literal 2 binary64)))) x)) x) #s(literal 1 binary64))
(+ 1 (* -1 (/ (- (* -1 (/ (pow y 2) x)) (* -1 y)) x)))
(fma.f64 (/.f64 y x) (-.f64 (/.f64 y x) #s(literal 1 binary64)) #s(literal 1 binary64))
(+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow y 3) x)) (* -1 (pow y 2))) x)) (* -1 y)) x)))
(fma.f64 (/.f64 y x) (-.f64 (/.f64 y x) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y x) #s(literal 3 binary64))))
(* -1 (* x (- (* -1 (/ y x)) 1)))
(fma.f64 (/.f64 y x) x x)
(+ 1 (* -1 (/ (+ (* -1 (- (* -1 y) y)) (/ (* y (- (* -1 y) y)) x)) x)))
(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (fma.f64 (/.f64 y x) #s(literal -2 binary64) #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 (/.f64 (fma.f64 #s(literal -2 binary64) y (/.f64 (*.f64 y (*.f64 y (fma.f64 (/.f64 y x) #s(literal -2 binary64) #s(literal 2 binary64)))) x)) x) #s(literal 1 binary64))
(* -1 (* x (- (/ 1 x) (* 2 (/ 1 y)))))
(fma.f64 (/.f64 x y) #s(literal 2 binary64) #s(literal -1 binary64))
(* -1 (/ (+ 1 (* -1 (/ y x))) x))
(/.f64 (-.f64 (/.f64 y x) #s(literal 1 binary64)) x)
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (pow y 2) x)) (* -1 y)) x))) x))
(/.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x) y #s(literal -1 binary64)) x)
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow y 3) x)) (* -1 (pow y 2))) x)) (* -1 y)) x))) x))
(/.f64 (+.f64 (/.f64 (fma.f64 (*.f64 y (/.f64 y x)) (-.f64 (/.f64 y x) #s(literal 1 binary64)) y) x) #s(literal -1 binary64)) x)
(* -1 (* x (+ 1 (* -1 (/ y x)))))
(fma.f64 (/.f64 y x) x (neg.f64 x))
(* (pow x 2) (- (* -1 (/ (- (/ 1 x) (* 2 (/ 1 y))) x)) (* 2 (/ 1 (pow y 2)))))
(*.f64 (-.f64 (/.f64 #s(literal -2 binary64) (*.f64 y y)) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) y)) x)) (*.f64 x x))
(* -1 (/ (+ (* -1 y) (/ (pow y 2) x)) x))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x) y)
(* -1 (/ (+ (* -1 y) (* -1 (/ (- (/ (pow y 3) x) (pow y 2)) x))) x))
(/.f64 (fma.f64 (*.f64 y (/.f64 y x)) (-.f64 (/.f64 y x) #s(literal 1 binary64)) y) x)
(* -1 (/ (+ (* -1 y) (* -1 (/ (- (* -1 (/ (- (/ (pow y 4) x) (pow y 3)) x)) (pow y 2)) x))) x))
(/.f64 (+.f64 (/.f64 (fma.f64 (neg.f64 y) y (/.f64 (fma.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) x) #s(literal -1 binary64) (pow.f64 y #s(literal 3 binary64))) x)) x) y) x)
(+ 1 (* y (- (* 2 (/ y (pow x 2))) (* 2 (/ 1 x)))))
(fma.f64 (/.f64 y x) (fma.f64 (/.f64 y x) #s(literal 2 binary64) #s(literal -2 binary64)) #s(literal 1 binary64))
(+ 1 (* y (- (* y (+ (* -2 (/ y (pow x 3))) (* 2 (/ 1 (pow x 2))))) (* 2 (/ 1 x)))))
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(+ 1 (* y (- (/ y (pow x 2)) (/ 1 x))))
(fma.f64 (/.f64 y x) (-.f64 (/.f64 y x) #s(literal 1 binary64)) #s(literal 1 binary64))
(+ 1 (* y (- (* y (+ (* -1 (/ y (pow x 3))) (/ 1 (pow x 2)))) (/ 1 x))))
(fma.f64 (/.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x) y #s(literal -1 binary64)) x) y #s(literal 1 binary64))
(/ (+ (* -1 y) (* 2 x)) y)
(fma.f64 (/.f64 x y) #s(literal 2 binary64) #s(literal -1 binary64))
(- (/ y (pow x 2)) (/ 1 x))
(/.f64 (-.f64 (/.f64 y x) #s(literal 1 binary64)) x)
(- (* y (+ (* -1 (/ y (pow x 3))) (/ 1 (pow x 2)))) (/ 1 x))
(/.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x) y #s(literal -1 binary64)) x)
(- (* y (+ (* y (- (/ y (pow x 4)) (/ 1 (pow x 3)))) (/ 1 (pow x 2)))) (/ 1 x))
(fma.f64 (*.f64 (-.f64 (/.f64 y (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) y) y (/.f64 (-.f64 (/.f64 y x) #s(literal 1 binary64)) x))
(- y x)
(-.f64 y x)
(/ (+ (* -2 (* x y)) (* 2 (pow x 2))) (pow y 2))
(/.f64 (/.f64 (*.f64 (*.f64 #s(literal -2 binary64) (-.f64 y x)) x) y) y)
(/ (- (* 2 (* x y)) (* 2 (pow x 2))) (pow y 2))
(*.f64 (/.f64 x y) (fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal 2 binary64)))
(/ (- (* y (- (* -1 y) (* -2 x))) (* 2 (pow x 2))) (pow y 2))
(fma.f64 (/.f64 x y) (fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal 2 binary64)) #s(literal -1 binary64))
(* y (+ (* -1 (/ y (pow x 2))) (/ 1 x)))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x) y)
(* y (+ (* y (- (/ y (pow x 3)) (/ 1 (pow x 2)))) (/ 1 x)))
(/.f64 (fma.f64 (*.f64 y (/.f64 y x)) (-.f64 (/.f64 y x) #s(literal 1 binary64)) y) x)
(* y (+ (* y (- (* y (+ (* -1 (/ y (pow x 4))) (/ 1 (pow x 3)))) (/ 1 (pow x 2)))) (/ 1 x)))
(*.f64 (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 y (pow.f64 x #s(literal 4 binary64)))) y (/.f64 #s(literal -1 binary64) (*.f64 x x))) y (/.f64 #s(literal 1 binary64) x)) y)
(+ (* -2 (* x y)) (* 2 (pow x 2)))
(*.f64 (*.f64 #s(literal -2 binary64) (-.f64 y x)) x)
(- (+ (* -1 (/ (pow x 2) (pow y 2))) (* 2 (/ x y))) (+ 1 (/ (pow x 2) (pow y 2))))
(fma.f64 (/.f64 x y) (-.f64 #s(literal 2 binary64) (/.f64 x y)) (fma.f64 (/.f64 (neg.f64 x) y) (/.f64 x y) #s(literal -1 binary64)))
(- (+ (* -1 (/ (pow x 2) (pow y 2))) (+ (* 2 (/ x y)) (/ (pow x 3) (pow y 3)))) (+ 1 (+ (* -1 (/ (pow x 3) (pow y 3))) (/ (pow x 2) (pow y 2)))))
(-.f64 (fma.f64 (/.f64 x y) (-.f64 #s(literal 2 binary64) (/.f64 x y)) (pow.f64 (/.f64 x y) #s(literal 3 binary64))) (fma.f64 (/.f64 (/.f64 x y) y) (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 x y))) #s(literal 1 binary64)))
(/ (+ x (* -1 (/ (pow x 2) y))) y)
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) y) x)
(/ (- (+ x (/ (pow x 3) (pow y 2))) (/ (pow x 2) y)) y)
(/.f64 (fma.f64 (*.f64 x (/.f64 x y)) (-.f64 (/.f64 x y) #s(literal 1 binary64)) x) y)
(/ (- (+ x (* -1 (/ (pow x 4) (pow y 3)))) (+ (* -1 (/ (pow x 3) (pow y 2))) (/ (pow x 2) y))) y)
(/.f64 (+.f64 (/.f64 (fma.f64 (neg.f64 x) x (/.f64 (fma.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) y) #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64))) y)) y) x) y)
(* y (+ (/ 1 x) (/ 1 y)))
(+.f64 (/.f64 y x) #s(literal 1 binary64))
(* y (+ 1 (/ x y)))
(fma.f64 (/.f64 x y) y y)
(- (/ x y) (+ 1 (* -1 (/ x y))))
(fma.f64 (/.f64 x y) #s(literal 2 binary64) #s(literal -1 binary64))
(- (+ (* -1 (/ (* x (- x (* -1 x))) (pow y 2))) (/ x y)) (+ 1 (* -1 (/ x y))))
(fma.f64 (/.f64 x y) (fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal 2 binary64)) #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)))))
(fma.f64 (fma.f64 (*.f64 (/.f64 (/.f64 #s(literal 2 binary64) y) y) (-.f64 (/.f64 x y) #s(literal 1 binary64))) x (/.f64 #s(literal 2 binary64) y)) x #s(literal -1 binary64))
(- (* -1 (/ (- (* -1 x) x) y)) 1)
(fma.f64 (/.f64 x y) #s(literal 2 binary64) #s(literal -1 binary64))
(- (+ (* -1 (/ (- (* -1 x) x) y)) (/ (* x (- (* -1 x) x)) (pow y 2))) 1)
(fma.f64 (/.f64 x y) (fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal 2 binary64)) #s(literal -1 binary64))
(- (+ (* -1 (/ (* (pow x 2) (- (* -1 x) x)) (pow y 3))) (+ (* -1 (/ (- (* -1 x) x) y)) (/ (* x (- (* -1 x) x)) (pow y 2)))) 1)
(fma.f64 (fma.f64 (*.f64 (/.f64 (/.f64 #s(literal 2 binary64) y) y) (-.f64 (/.f64 x y) #s(literal 1 binary64))) x (/.f64 #s(literal 2 binary64) y)) x #s(literal -1 binary64))
(/ (- (/ x y) 1) y)
(/.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) y)
(/ (- (* -1 (/ (pow x 2) (pow y 2))) (+ 1 (* -1 (/ x y)))) y)
(/.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) y) x #s(literal -1 binary64)) y)
(/ (- (/ (pow x 3) (pow y 3)) (+ 1 (+ (* -1 (/ x y)) (/ (pow x 2) (pow y 2))))) y)
(/.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) (fma.f64 (/.f64 x y) (-.f64 (/.f64 x y) #s(literal 1 binary64)) #s(literal 1 binary64))) y)
(* y (+ 1 (* -1 (/ x y))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) y)
(/ (+ (* -2 x) (* 2 (/ (pow x 2) y))) y)
(*.f64 (/.f64 x y) (fma.f64 (/.f64 #s(literal 2 binary64) y) x #s(literal -2 binary64)))
(- (* -2 (/ (pow x 2) (pow y 2))) (+ 1 (* -2 (/ x y))))
(fma.f64 (/.f64 x y) (fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal 2 binary64)) #s(literal -1 binary64))
(- (+ 1 (/ (pow x 2) (pow y 2))) (/ x y))
(fma.f64 (/.f64 x y) (-.f64 (/.f64 x y) #s(literal 1 binary64)) #s(literal 1 binary64))
(- (+ 1 (* -1 (/ (pow x 3) (pow y 3)))) (+ (* -1 (/ (pow x 2) (pow y 2))) (/ x y)))
(fma.f64 (/.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) y) x (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x y) #s(literal 3 binary64))))
(* y (+ (* -2 x) (* 2 (/ (pow x 2) y))))
(*.f64 (*.f64 x (fma.f64 (/.f64 #s(literal 2 binary64) y) x #s(literal -2 binary64))) y)
(- (* -1 (/ (- (+ (* -1 x) (* 2 (/ (pow x 2) y))) x) y)) 1)
(fma.f64 (/.f64 x y) (fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal 2 binary64)) #s(literal -1 binary64))
(- (* -1 (/ (- (+ (* -1 x) (* -1 (/ (- (* 2 (/ (pow x 3) y)) (* 2 (pow x 2))) y))) x) y)) 1)
(-.f64 (/.f64 (fma.f64 #s(literal 2 binary64) (/.f64 (fma.f64 (neg.f64 x) x (/.f64 (pow.f64 x #s(literal 3 binary64)) y)) y) (*.f64 #s(literal 2 binary64) x)) y) #s(literal 1 binary64))
(* -1 (/ (+ (* -1 x) (/ (pow x 2) y)) y))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) y) x)
(* -1 (/ (+ (* -1 x) (* -1 (/ (- (/ (pow x 3) y) (pow x 2)) y))) y))
(/.f64 (fma.f64 (*.f64 x (/.f64 x y)) (-.f64 (/.f64 x y) #s(literal 1 binary64)) x) y)
(* -1 (/ (+ (* -1 x) (* -1 (/ (- (* -1 (/ (- (/ (pow x 4) y) (pow x 3)) y)) (pow x 2)) y))) y))
(/.f64 (+.f64 (/.f64 (fma.f64 (neg.f64 x) x (/.f64 (fma.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) y) #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64))) y)) y) x) y)
(* -1 (* y (- (* -1 (/ x y)) 1)))
(fma.f64 (/.f64 x y) y y)
(- (* -1 (/ (- (+ (* -1 x) (* -1 (/ (* x (- (* -1 x) x)) y))) x) y)) 1)
(fma.f64 (/.f64 x y) (fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal 2 binary64)) #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 (/.f64 (fma.f64 #s(literal 2 binary64) (/.f64 (fma.f64 (neg.f64 x) x (/.f64 (pow.f64 x #s(literal 3 binary64)) y)) y) (*.f64 #s(literal 2 binary64) x)) y) #s(literal 1 binary64))
(* -1 (/ (+ 1 (* -1 (/ x y))) y))
(/.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) y)
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (pow x 2) y)) (* -1 x)) y))) y))
(/.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) y) x #s(literal -1 binary64)) y)
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow x 3) y)) (* -1 (pow x 2))) y)) (* -1 x)) y))) y))
(/.f64 (+.f64 (/.f64 (fma.f64 (*.f64 x (/.f64 x y)) (-.f64 (/.f64 x y) #s(literal 1 binary64)) x) y) #s(literal -1 binary64)) y)
(* -1 (* y (- (/ x y) 1)))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) y)
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(*.f64 (/.f64 x y) (fma.f64 (/.f64 #s(literal 2 binary64) y) x #s(literal -2 binary64)))
(- (* -1 (/ (- (* 2 (/ (pow x 2) y)) (* 2 x)) y)) 1)
(fma.f64 (/.f64 x y) (fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal 2 binary64)) #s(literal -1 binary64))
(+ 1 (* -1 (/ (- (* -1 (/ (pow x 2) y)) (* -1 x)) y)))
(fma.f64 (/.f64 x y) (-.f64 (/.f64 x y) #s(literal 1 binary64)) #s(literal 1 binary64))
(+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow x 3) y)) (* -1 (pow x 2))) y)) (* -1 x)) y)))
(fma.f64 (/.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) y) x (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x y) #s(literal 3 binary64))))
(* -1 (* y (+ (* -2 (/ (pow x 2) y)) (* 2 x))))
(*.f64 (*.f64 x (fma.f64 (/.f64 #s(literal 2 binary64) y) x #s(literal -2 binary64))) y)

rewrite269.0ms (4.3%)

Memory
-5.9MiB live, 185.5MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
033181
049181
1234172
21980172
08129169
Stop Event
iter limit
node limit
iter limit
Counts
17 → 653
Calls
Call 1
Inputs
(-.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 y x) x)) (/.f64 y (+.f64 y x)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 y x) x))
(/.f64 (+.f64 y x) x)
(+.f64 y x)
#s(approx (/ (- x y) (+ x y)) #s(literal 1 binary64))
#s(approx (/ (- x y) (+ x y)) (fma.f64 (/.f64 x y) #s(literal 2 binary64) #s(literal -1 binary64)))
(fma.f64 (/.f64 x y) #s(literal 2 binary64) #s(literal -1 binary64))
(/.f64 x y)
(*.f64 (/.f64 #s(literal -1 binary64) (+.f64 y x)) (-.f64 y x))
(/.f64 #s(literal -1 binary64) (+.f64 y x))
(-.f64 y x)
(/.f64 (*.f64 (*.f64 #s(literal -2 binary64) x) (-.f64 y x)) (*.f64 y y))
#s(approx (/ (- x y) (+ x y)) (-.f64 #s(literal -1 binary64) #s(approx (/ (* x (+ (* (/ 2 y) x) -2)) y) (/.f64 (*.f64 (*.f64 #s(literal -2 binary64) x) (-.f64 y x)) (*.f64 y y)))))
(-.f64 #s(literal -1 binary64) #s(approx (/ (* x (+ (* (/ 2 y) x) -2)) y) (/.f64 (*.f64 (*.f64 #s(literal -2 binary64) x) (-.f64 y x)) (*.f64 y y))))
#s(approx (/ (* x (+ (* (/ 2 y) x) -2)) y) (/.f64 (*.f64 (*.f64 #s(literal -2 binary64) x) (-.f64 y x)) (*.f64 y y)))
(/.f64 y (+.f64 y x))
(*.f64 (*.f64 #s(literal -2 binary64) x) (-.f64 y x))
Outputs
(*.f64 (pow.f64 (/.f64 (+.f64 x y) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 x x (*.f64 y (+.f64 x y))) #s(literal -1 binary64)))
(*.f64 (/.f64 (-.f64 x y) (*.f64 (+.f64 x y) (-.f64 y x))) (-.f64 y x))
(*.f64 (/.f64 (-.f64 x y) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 x x (*.f64 y (-.f64 y x))))
(*.f64 (/.f64 (-.f64 x y) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 x (-.f64 x y) (*.f64 y y)))
(*.f64 (/.f64 (-.f64 x y) (fma.f64 x x (*.f64 (neg.f64 y) y))) (-.f64 x y))
(*.f64 (-.f64 (pow.f64 (/.f64 x (+.f64 x y)) #s(literal 2 binary64)) (pow.f64 (/.f64 y (+.f64 x y)) #s(literal 2 binary64))) (pow.f64 (+.f64 (/.f64 y (+.f64 x y)) (/.f64 x (+.f64 x y))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (+.f64 x y) #s(literal -1 binary64)) (pow.f64 (pow.f64 (-.f64 x y) #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (+.f64 x y) #s(literal -1 binary64)) (-.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))) (pow.f64 (fma.f64 (/.f64 y (+.f64 x y)) (+.f64 (/.f64 y (+.f64 x y)) (/.f64 x (+.f64 x y))) (pow.f64 (/.f64 x (+.f64 x y)) #s(literal 2 binary64))) #s(literal -1 binary64)))
(*.f64 (neg.f64 (-.f64 x y)) (/.f64 #s(literal -1 binary64) (+.f64 x y)))
(*.f64 (-.f64 (+.f64 x y) (*.f64 (/.f64 (+.f64 x y) x) y)) (pow.f64 (/.f64 (pow.f64 (+.f64 x y) #s(literal 2 binary64)) x) #s(literal -1 binary64)))
(*.f64 (-.f64 x y) (pow.f64 (+.f64 x y) #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (+.f64 x y)))
(pow.f64 (/.f64 (+.f64 (/.f64 y (+.f64 x y)) (/.f64 x (+.f64 x y))) (-.f64 (pow.f64 (/.f64 x (+.f64 x y)) #s(literal 2 binary64)) (pow.f64 (/.f64 y (+.f64 x y)) #s(literal 2 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (/.f64 y (+.f64 x y)) (+.f64 (/.f64 y (+.f64 x y)) (/.f64 x (+.f64 x y))) (pow.f64 (/.f64 x (+.f64 x y)) #s(literal 2 binary64))) (-.f64 (pow.f64 (/.f64 x (+.f64 x y)) #s(literal 3 binary64)) (pow.f64 (/.f64 y (+.f64 x y)) #s(literal 3 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 (pow.f64 (+.f64 x y) #s(literal 2 binary64)) x) (-.f64 (+.f64 x y) (*.f64 (/.f64 (+.f64 x y) x) y))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 (+.f64 x y) (-.f64 x y)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 x y) (-.f64 x y)) #s(literal -1 binary64))
(/.f64 (neg.f64 (/.f64 (-.f64 (+.f64 x y) (*.f64 (/.f64 (+.f64 x y) x) y)) (/.f64 (+.f64 x y) x))) (neg.f64 (+.f64 x y)))
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (pow.f64 (+.f64 x y) #s(literal -1 binary64)))) (neg.f64 (fma.f64 x x (*.f64 y (+.f64 x y)))))
(/.f64 (neg.f64 (*.f64 (-.f64 x y) #s(literal 1 binary64))) (neg.f64 (+.f64 x y)))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 x (+.f64 x y)) #s(literal 2 binary64)) (pow.f64 (/.f64 y (+.f64 x y)) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (+.f64 (/.f64 y (+.f64 x y)) (/.f64 x (+.f64 x y))))))
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(/.f64 (-.f64 #s(literal -1 binary64) (pow.f64 #s(approx (/ (* x (+ (* (/ 2 y) x) -2)) y) (*.f64 (/.f64 #s(literal -2 binary64) y) (/.f64 (*.f64 (-.f64 y x) x) y))) #s(literal 3 binary64))) (fma.f64 #s(approx (/ (* x (+ (* (/ 2 y) x) -2)) y) (*.f64 (/.f64 #s(literal -2 binary64) y) (/.f64 (*.f64 (-.f64 y x) x) y))) (+.f64 #s(approx (/ (* x (+ (* (/ 2 y) x) -2)) y) (*.f64 (/.f64 #s(literal -2 binary64) y) (/.f64 (*.f64 (-.f64 y x) x) y))) #s(literal -1 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 #s(approx (/ (* x (+ (* (/ 2 y) x) -2)) y) (*.f64 (/.f64 #s(literal -2 binary64) y) (/.f64 (*.f64 (-.f64 y x) x) y))) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 #s(approx (/ (* x (+ (* (/ 2 y) x) -2)) y) (*.f64 (/.f64 #s(literal -2 binary64) y) (/.f64 (*.f64 (-.f64 y x) x) y))) #s(literal 2 binary64))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 #s(approx (/ (* x (+ (* (/ 2 y) x) -2)) y) (*.f64 (/.f64 #s(literal -2 binary64) y) (/.f64 (*.f64 (-.f64 y x) x) y))) (+.f64 #s(approx (/ (* x (+ (* (/ 2 y) x) -2)) y) (*.f64 (/.f64 #s(literal -2 binary64) y) (/.f64 (*.f64 (-.f64 y x) x) y))) #s(literal -1 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) (pow.f64 #s(approx (/ (* x (+ (* (/ 2 y) x) -2)) y) (*.f64 (/.f64 #s(literal -2 binary64) y) (/.f64 (*.f64 (-.f64 y x) x) y))) #s(literal 3 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(approx (/ (* x (+ (* (/ 2 y) x) -2)) y) (*.f64 (/.f64 #s(literal -2 binary64) y) (/.f64 (*.f64 (-.f64 y x) x) y))) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 #s(approx (/ (* x (+ (* (/ 2 y) x) -2)) y) (*.f64 (/.f64 #s(literal -2 binary64) y) (/.f64 (*.f64 (-.f64 y x) x) y))) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(approx (/ (* x (+ (* (/ 2 y) x) -2)) y) (*.f64 (/.f64 #s(literal -2 binary64) y) (/.f64 (*.f64 (-.f64 y x) x) y))) (+.f64 #s(approx (/ (* x (+ (* (/ 2 y) x) -2)) y) (*.f64 (/.f64 #s(literal -2 binary64) y) (/.f64 (*.f64 (-.f64 y x) x) y))) #s(literal -1 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) (pow.f64 #s(approx (/ (* x (+ (* (/ 2 y) x) -2)) y) (*.f64 (/.f64 #s(literal -2 binary64) y) (/.f64 (*.f64 (-.f64 y x) x) y))) #s(literal 3 binary64)))))
(fma.f64 #s(approx (/ (* x (+ (* (/ 2 y) x) -2)) y) (*.f64 (/.f64 #s(literal -2 binary64) y) (/.f64 (*.f64 (-.f64 y x) x) y))) #s(literal -1 binary64) #s(literal -1 binary64))
(fma.f64 #s(literal -1 binary64) #s(approx (/ (* x (+ (* (/ 2 y) x) -2)) y) (*.f64 (/.f64 #s(literal -2 binary64) y) (/.f64 (*.f64 (-.f64 y x) x) y))) #s(literal -1 binary64))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (neg.f64 #s(approx (/ (* x (+ (* (/ 2 y) x) -2)) y) (*.f64 (/.f64 #s(literal -2 binary64) y) (/.f64 (*.f64 (-.f64 y x) x) y)))))) (/.f64 (pow.f64 #s(approx (/ (* x (+ (* (/ 2 y) x) -2)) y) (*.f64 (/.f64 #s(literal -2 binary64) y) (/.f64 (*.f64 (-.f64 y x) x) y))) #s(literal 2 binary64)) (-.f64 #s(literal -1 binary64) (neg.f64 #s(approx (/ (* x (+ (* (/ 2 y) x) -2)) y) (*.f64 (/.f64 #s(literal -2 binary64) y) (/.f64 (*.f64 (-.f64 y x) x) y)))))))
(-.f64 (pow.f64 (+.f64 #s(approx (/ (* x (+ (* (/ 2 y) x) -2)) y) (*.f64 (/.f64 #s(literal -2 binary64) y) (/.f64 (*.f64 (-.f64 y x) x) y))) #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 #s(approx (/ (* x (+ (* (/ 2 y) x) -2)) y) (*.f64 (/.f64 #s(literal -2 binary64) y) (/.f64 (*.f64 (-.f64 y x) x) y))) #s(literal 2 binary64)) (+.f64 #s(approx (/ (* x (+ (* (/ 2 y) x) -2)) y) (*.f64 (/.f64 #s(literal -2 binary64) y) (/.f64 (*.f64 (-.f64 y x) x) y))) #s(literal -1 binary64))))
(-.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(approx (/ (* x (+ (* (/ 2 y) x) -2)) y) (*.f64 (/.f64 #s(literal -2 binary64) y) (/.f64 (*.f64 (-.f64 y x) x) y))) (+.f64 #s(approx (/ (* x (+ (* (/ 2 y) x) -2)) y) (*.f64 (/.f64 #s(literal -2 binary64) y) (/.f64 (*.f64 (-.f64 y x) x) y))) #s(literal -1 binary64)) #s(literal 1 binary64))) (/.f64 (pow.f64 #s(approx (/ (* x (+ (* (/ 2 y) x) -2)) y) (*.f64 (/.f64 #s(literal -2 binary64) y) (/.f64 (*.f64 (-.f64 y x) x) y))) #s(literal 3 binary64)) (fma.f64 #s(approx (/ (* x (+ (* (/ 2 y) x) -2)) y) (*.f64 (/.f64 #s(literal -2 binary64) y) (/.f64 (*.f64 (-.f64 y x) x) y))) (+.f64 #s(approx (/ (* x (+ (* (/ 2 y) x) -2)) y) (*.f64 (/.f64 #s(literal -2 binary64) y) (/.f64 (*.f64 (-.f64 y x) x) y))) #s(literal -1 binary64)) #s(literal 1 binary64))))
(-.f64 #s(literal -1 binary64) #s(approx (/ (* x (+ (* (/ 2 y) x) -2)) y) (*.f64 (/.f64 #s(literal -2 binary64) y) (/.f64 (*.f64 (-.f64 y x) x) y))))
(+.f64 (neg.f64 #s(approx (/ (* x (+ (* (/ 2 y) x) -2)) y) (*.f64 (/.f64 #s(literal -2 binary64) y) (/.f64 (*.f64 (-.f64 y x) x) y)))) #s(literal -1 binary64))
(+.f64 #s(literal -1 binary64) (neg.f64 #s(approx (/ (* x (+ (* (/ 2 y) x) -2)) y) (*.f64 (/.f64 #s(literal -2 binary64) y) (/.f64 (*.f64 (-.f64 y x) x) y)))))
#s(approx (/ (* x (+ (* (/ 2 y) x) -2)) y) (*.f64 (/.f64 #s(literal -2 binary64) y) (/.f64 (*.f64 (-.f64 y x) x) y)))
(*.f64 (/.f64 y (fma.f64 x x (*.f64 (neg.f64 y) y))) (-.f64 x y))
(*.f64 (/.f64 y (*.f64 (+.f64 x y) (-.f64 y x))) (-.f64 y x))
(*.f64 (/.f64 y (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 x x (*.f64 y (-.f64 y x))))
(*.f64 (/.f64 y (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 x (-.f64 x y) (*.f64 y y)))
(*.f64 (pow.f64 (+.f64 x y) #s(literal -1 binary64)) (pow.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (+.f64 x y) #s(literal -1 binary64)) y)
(*.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) (+.f64 x y)))
(*.f64 y (pow.f64 (+.f64 x y) #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (/.f64 y (+.f64 x y)))
(pow.f64 (/.f64 (/.f64 (+.f64 x y) y) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 x y) y) #s(literal -1 binary64))
(/.f64 (neg.f64 (*.f64 y #s(literal 1 binary64))) (neg.f64 (+.f64 x y)))
(/.f64 (neg.f64 (neg.f64 (neg.f64 y))) (neg.f64 (neg.f64 (neg.f64 (+.f64 x y)))))
(/.f64 (neg.f64 (neg.f64 y)) (neg.f64 (neg.f64 (+.f64 x y))))
(/.f64 (*.f64 y #s(literal 1 binary64)) (+.f64 x y))
(/.f64 (neg.f64 y) (neg.f64 (+.f64 x y)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (+.f64 x y) y) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 x y) y)))
(/.f64 y (+.f64 x y))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (+.f64 x y) y))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 x y) y) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x y) y))
(neg.f64 (/.f64 (neg.f64 y) (+.f64 x y)))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (+.f64 x y))) (/.f64 (neg.f64 y) (+.f64 x y)))
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 x y) y)) #s(literal -1 binary64)))
(*.f64 (*.f64 (-.f64 y x) #s(literal -2 binary64)) x)
(*.f64 (*.f64 (-.f64 y x) x) #s(literal -2 binary64))
(*.f64 (*.f64 #s(literal -2 binary64) x) (-.f64 y x))
(*.f64 #s(literal -2 binary64) (*.f64 (-.f64 y x) x))
(*.f64 (-.f64 y x) (*.f64 #s(literal -2 binary64) x))
(*.f64 x (*.f64 #s(literal -2 binary64) (-.f64 y x)))
(/.f64 (neg.f64 (*.f64 (*.f64 (+.f64 x y) (-.f64 y x)) (*.f64 #s(literal -2 binary64) x))) (neg.f64 (+.f64 x y)))
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (*.f64 #s(literal -2 binary64) x))) (neg.f64 (fma.f64 x (+.f64 x y) (*.f64 y y))))
(/.f64 (neg.f64 (*.f64 (*.f64 #s(literal -2 binary64) x) (*.f64 (+.f64 x y) (-.f64 y x)))) (neg.f64 (+.f64 x y)))
(/.f64 (neg.f64 (*.f64 (*.f64 #s(literal -2 binary64) x) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (neg.f64 (fma.f64 x (+.f64 x y) (*.f64 y y))))
(/.f64 (*.f64 (*.f64 (+.f64 x y) (-.f64 y x)) (*.f64 #s(literal -2 binary64) x)) (+.f64 x y))
(/.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (*.f64 #s(literal -2 binary64) x)) (fma.f64 x (+.f64 x y) (*.f64 y y)))
(/.f64 (*.f64 (*.f64 #s(literal -2 binary64) x) (*.f64 (+.f64 x y) (-.f64 y x))) (+.f64 x y))
(/.f64 (*.f64 (*.f64 #s(literal -2 binary64) x) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 x (+.f64 x y) (*.f64 y y)))
(fma.f64 (*.f64 #s(literal -2 binary64) x) y (*.f64 (*.f64 #s(literal -2 binary64) x) (neg.f64 x)))
(fma.f64 y (*.f64 #s(literal -2 binary64) x) (*.f64 (neg.f64 x) (*.f64 #s(literal -2 binary64) x)))
(+.f64 (*.f64 y (*.f64 #s(literal -2 binary64) x)) (*.f64 (neg.f64 x) (*.f64 #s(literal -2 binary64) x)))
(+.f64 (*.f64 (*.f64 #s(literal -2 binary64) x) y) (*.f64 (*.f64 #s(literal -2 binary64) x) (neg.f64 x)))

eval127.0ms (2.1%)

Memory
24.7MiB live, 178.2MiB allocated
Compiler

Compiled 23 214 to 2 900 computations (87.5% saved)

prune55.0ms (0.9%)

Memory
-25.6MiB live, 109.6MiB allocated
Pruning

10 alts after pruning (1 fresh and 9 done)

PrunedKeptTotal
New8911892
Fresh000
Picked145
Done055
Total89210902
Accuracy
100.0%
Counts
902 → 10
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.9%
(/.f64 (-.f64 x y) (+.f64 x y))
51.2%
(/.f64 #s(approx (- x y) (neg.f64 y)) (+.f64 x y))
100.0%
(-.f64 (/.f64 x (+.f64 y x)) (/.f64 y (+.f64 y x)))
99.9%
(-.f64 (*.f64 (/.f64 #s(literal -1 binary64) (+.f64 x y)) (neg.f64 x)) (/.f64 y (+.f64 y x)))
99.7%
(*.f64 (/.f64 #s(literal -1 binary64) (+.f64 y x)) (-.f64 y x))
50.5%
#s(approx (/ (- x y) (+ x y)) (fma.f64 (/.f64 y x) #s(literal -2 binary64) #s(literal 1 binary64)))
51.9%
#s(approx (/ (- x y) (+ x y)) (fma.f64 (/.f64 x y) #s(literal 2 binary64) #s(literal -1 binary64)))
42.5%
#s(approx (/ (- x y) (+ x y)) (-.f64 #s(literal -1 binary64) #s(approx (/ (* x (+ (* (/ 2 y) x) -2)) y) (/.f64 (*.f64 (*.f64 #s(literal -2 binary64) x) (-.f64 y x)) (*.f64 y y)))))
49.1%
#s(approx (/ (- x y) (+ x y)) #s(literal 1 binary64))
50.1%
#s(approx (/ (- x y) (+ x y)) #s(literal -1 binary64))
Compiler

Compiled 130 to 91 computations (30% saved)

simplify20.0ms (0.3%)

Memory
26.6MiB live, 26.6MiB allocated
Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff0
(+.f64 x y)
cost-diff0
(/.f64 #s(literal -1 binary64) (+.f64 x y))
cost-diff3
(*.f64 (/.f64 #s(literal -1 binary64) (+.f64 x y)) (neg.f64 x))
cost-diff4
(-.f64 (*.f64 (/.f64 #s(literal -1 binary64) (+.f64 x y)) (neg.f64 x)) (/.f64 y (+.f64 y x)))
Iterations

Useful iterations: 6 (0.0ms)

IterNodesCost
01043
01743
12941
25637
310837
423037
537735
652633
776833
887733
988333
088333
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(-.f64 (*.f64 (/.f64 #s(literal -1 binary64) (+.f64 x y)) (neg.f64 x)) (/.f64 y (+.f64 y x)))
(*.f64 (/.f64 #s(literal -1 binary64) (+.f64 x y)) (neg.f64 x))
(/.f64 #s(literal -1 binary64) (+.f64 x y))
#s(literal -1 binary64)
(+.f64 x y)
x
y
(neg.f64 x)
(/.f64 y (+.f64 y x))
(+.f64 y x)
Outputs
(-.f64 (*.f64 (/.f64 #s(literal -1 binary64) (+.f64 x y)) (neg.f64 x)) (/.f64 y (+.f64 y x)))
(/.f64 (-.f64 x y) (+.f64 y x))
(*.f64 (/.f64 #s(literal -1 binary64) (+.f64 x y)) (neg.f64 x))
(/.f64 x (+.f64 y x))
(/.f64 #s(literal -1 binary64) (+.f64 x y))
(/.f64 #s(literal -1 binary64) (+.f64 y x))
#s(literal -1 binary64)
(+.f64 x y)
(+.f64 y x)
x
y
(neg.f64 x)
(/.f64 y (+.f64 y x))
(+.f64 y x)

localize39.0ms (0.6%)

Memory
-9.2MiB live, 29.4MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0.0078125
(/.f64 y (+.f64 y x))
accuracy0.01171875
(-.f64 (*.f64 (/.f64 #s(literal -1 binary64) (+.f64 x y)) (neg.f64 x)) (/.f64 y (+.f64 y x)))
accuracy0.03515625
(/.f64 #s(literal -1 binary64) (+.f64 x y))
accuracy0.18359375
(*.f64 (/.f64 #s(literal -1 binary64) (+.f64 x y)) (neg.f64 x))
Samples
32.0ms256×0valid
Compiler

Compiled 45 to 12 computations (73.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 10.0ms
ival-div: 3.0ms (28.9% of total)
ival-add: 3.0ms (28.9% of total)
ival-mult: 2.0ms (19.3% of total)
ival-sub: 1.0ms (9.6% of total)
ival-neg: 1.0ms (9.6% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series2.0ms (0%)

Memory
3.0MiB live, 3.0MiB allocated
Counts
5 → 79
Calls
Call 1
Inputs
(-.f64 (*.f64 (/.f64 #s(literal -1 binary64) (+.f64 x y)) (neg.f64 x)) (/.f64 y (+.f64 y x)))
(*.f64 (/.f64 #s(literal -1 binary64) (+.f64 x y)) (neg.f64 x))
(/.f64 #s(literal -1 binary64) (+.f64 x y))
(+.f64 x y)
(/.f64 y (+.f64 y x))
Outputs
-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)
(/ x y)
(* x (+ (* -1 (/ x (pow y 2))) (/ 1 y)))
(* x (+ (* x (- (/ x (pow y 3)) (/ 1 (pow y 2)))) (/ 1 y)))
(* x (+ (* x (- (* x (+ (* -1 (/ x (pow y 4))) (/ 1 (pow y 3)))) (/ 1 (pow y 2)))) (/ 1 y)))
(/ -1 y)
(- (/ x (pow y 2)) (/ 1 y))
(- (* x (+ (* -1 (/ x (pow y 3))) (/ 1 (pow y 2)))) (/ 1 y))
(- (* x (+ (* x (- (/ x (pow y 4)) (/ 1 (pow y 3)))) (/ 1 (pow y 2)))) (/ 1 y))
y
(+ x y)
1
(+ 1 (* -1 (/ x y)))
(+ 1 (* x (- (/ x (pow y 2)) (/ 1 y))))
(+ 1 (* x (- (* x (+ (* -1 (/ x (pow y 3))) (/ 1 (pow y 2)))) (/ 1 y))))
(+ 1 (* -2 (/ y x)))
(- (+ 1 (/ (pow y 2) (pow x 2))) (+ (* -1 (/ (pow y 2) (pow x 2))) (* 2 (/ y x))))
(- (+ 1 (+ (* -1 (/ (pow y 3) (pow x 3))) (/ (pow y 2) (pow x 2)))) (+ (* -1 (/ (pow y 2) (pow x 2))) (+ (* 2 (/ y x)) (/ (pow y 3) (pow x 3)))))
(+ 1 (* -1 (/ y x)))
(- (+ 1 (/ (pow y 2) (pow x 2))) (/ y x))
(- (+ 1 (* -1 (/ (pow y 3) (pow x 3)))) (+ (* -1 (/ (pow y 2) (pow x 2))) (/ y x)))
(/ -1 x)
(/ (- (/ y x) 1) x)
(/ (- (* -1 (/ (pow y 2) (pow x 2))) (+ 1 (* -1 (/ y x)))) x)
(/ (- (/ (pow y 3) (pow x 3)) (+ 1 (+ (* -1 (/ y x)) (/ (pow y 2) (pow x 2))))) x)
x
(* x (+ 1 (/ y x)))
(/ y x)
(/ (+ y (* -1 (/ (pow y 2) x))) x)
(/ (- (+ y (/ (pow y 3) (pow x 2))) (/ (pow y 2) x)) x)
(/ (- (+ y (* -1 (/ (pow y 4) (pow x 3)))) (+ (* -1 (/ (pow y 3) (pow x 2))) (/ (pow y 2) x))) x)
(+ 1 (* -1 (/ (- y (* -1 y)) x)))
(+ 1 (* -1 (/ (- (+ y (* -2 (/ (pow y 2) x))) (* -1 y)) x)))
(+ 1 (* -1 (/ (- (+ y (* -1 (/ (+ (* -2 (/ (pow y 3) x)) (* 2 (pow y 2))) x))) (* -1 y)) x)))
(+ 1 (* -1 (/ (- (* -1 (/ (pow y 2) x)) (* -1 y)) x)))
(+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow y 3) x)) (* -1 (pow y 2))) x)) (* -1 y)) x)))
(* -1 (/ (+ 1 (* -1 (/ y x))) x))
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (pow y 2) x)) (* -1 y)) x))) x))
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow y 3) x)) (* -1 (pow y 2))) x)) (* -1 y)) x))) x))
(* -1 (* x (- (* -1 (/ y x)) 1)))
(* -1 (/ (+ (* -1 y) (/ (pow y 2) x)) x))
(* -1 (/ (+ (* -1 y) (* -1 (/ (- (/ (pow y 3) x) (pow y 2)) x))) x))
(* -1 (/ (+ (* -1 y) (* -1 (/ (- (* -1 (/ (- (/ (pow y 4) x) (pow y 3)) x)) (pow y 2)) x))) 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 (* y (- (/ y (pow x 2)) (/ 1 x))))
(+ 1 (* y (- (* y (+ (* -1 (/ y (pow x 3))) (/ 1 (pow x 2)))) (/ 1 x))))
(- (/ y (pow x 2)) (/ 1 x))
(- (* y (+ (* -1 (/ y (pow x 3))) (/ 1 (pow x 2)))) (/ 1 x))
(- (* y (+ (* y (- (/ y (pow x 4)) (/ 1 (pow x 3)))) (/ 1 (pow x 2)))) (/ 1 x))
(* y (+ (* -1 (/ y (pow x 2))) (/ 1 x)))
(* y (+ (* y (- (/ y (pow x 3)) (/ 1 (pow x 2)))) (/ 1 x)))
(* y (+ (* y (- (* y (+ (* -1 (/ y (pow x 4))) (/ 1 (pow x 3)))) (/ 1 (pow x 2)))) (/ 1 x)))
(- (+ (* -1 (/ (pow x 2) (pow y 2))) (* 2 (/ x y))) (+ 1 (/ (pow x 2) (pow y 2))))
(- (+ (* -1 (/ (pow x 2) (pow y 2))) (+ (* 2 (/ x y)) (/ (pow x 3) (pow y 3)))) (+ 1 (+ (* -1 (/ (pow x 3) (pow y 3))) (/ (pow x 2) (pow y 2)))))
(/ (+ x (* -1 (/ (pow x 2) y))) y)
(/ (- (+ x (/ (pow x 3) (pow y 2))) (/ (pow x 2) y)) y)
(/ (- (+ x (* -1 (/ (pow x 4) (pow y 3)))) (+ (* -1 (/ (pow x 3) (pow y 2))) (/ (pow x 2) y))) y)
(/ (- (/ x y) 1) y)
(/ (- (* -1 (/ (pow x 2) (pow y 2))) (+ 1 (* -1 (/ x y)))) y)
(/ (- (/ (pow x 3) (pow y 3)) (+ 1 (+ (* -1 (/ x y)) (/ (pow x 2) (pow y 2))))) y)
(* y (+ 1 (/ x y)))
(- (+ 1 (/ (pow x 2) (pow y 2))) (/ x y))
(- (+ 1 (* -1 (/ (pow x 3) (pow y 3)))) (+ (* -1 (/ (pow x 2) (pow y 2))) (/ x y)))
(- (* -1 (/ (- (* -1 x) x) y)) 1)
(- (* -1 (/ (- (+ (* -1 x) (* 2 (/ (pow x 2) y))) x) y)) 1)
(- (* -1 (/ (- (+ (* -1 x) (* -1 (/ (- (* 2 (/ (pow x 3) y)) (* 2 (pow x 2))) y))) x) y)) 1)
(* -1 (/ (+ (* -1 x) (/ (pow x 2) y)) y))
(* -1 (/ (+ (* -1 x) (* -1 (/ (- (/ (pow x 3) y) (pow x 2)) y))) y))
(* -1 (/ (+ (* -1 x) (* -1 (/ (- (* -1 (/ (- (/ (pow x 4) y) (pow x 3)) y)) (pow x 2)) y))) y))
(* -1 (/ (+ 1 (* -1 (/ x y))) y))
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (pow x 2) y)) (* -1 x)) y))) y))
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow x 3) y)) (* -1 (pow x 2))) y)) (* -1 x)) y))) y))
(* -1 (* y (- (* -1 (/ x y)) 1)))
(+ 1 (* -1 (/ (- (* -1 (/ (pow x 2) y)) (* -1 x)) y)))
(+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow x 3) y)) (* -1 (pow x 2))) y)) (* -1 x)) y)))
Calls

6 calls:

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

simplify144.0ms (2.3%)

Memory
-5.9MiB live, 178.6MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03281227
110501125
227601003
08262937
Stop Event
iter limit
node limit
Counts
79 → 77
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)
(/ x y)
(* x (+ (* -1 (/ x (pow y 2))) (/ 1 y)))
(* x (+ (* x (- (/ x (pow y 3)) (/ 1 (pow y 2)))) (/ 1 y)))
(* x (+ (* x (- (* x (+ (* -1 (/ x (pow y 4))) (/ 1 (pow y 3)))) (/ 1 (pow y 2)))) (/ 1 y)))
(/ -1 y)
(- (/ x (pow y 2)) (/ 1 y))
(- (* x (+ (* -1 (/ x (pow y 3))) (/ 1 (pow y 2)))) (/ 1 y))
(- (* x (+ (* x (- (/ x (pow y 4)) (/ 1 (pow y 3)))) (/ 1 (pow y 2)))) (/ 1 y))
y
(+ x y)
1
(+ 1 (* -1 (/ x y)))
(+ 1 (* x (- (/ x (pow y 2)) (/ 1 y))))
(+ 1 (* x (- (* x (+ (* -1 (/ x (pow y 3))) (/ 1 (pow y 2)))) (/ 1 y))))
(+ 1 (* -2 (/ y x)))
(- (+ 1 (/ (pow y 2) (pow x 2))) (+ (* -1 (/ (pow y 2) (pow x 2))) (* 2 (/ y x))))
(- (+ 1 (+ (* -1 (/ (pow y 3) (pow x 3))) (/ (pow y 2) (pow x 2)))) (+ (* -1 (/ (pow y 2) (pow x 2))) (+ (* 2 (/ y x)) (/ (pow y 3) (pow x 3)))))
(+ 1 (* -1 (/ y x)))
(- (+ 1 (/ (pow y 2) (pow x 2))) (/ y x))
(- (+ 1 (* -1 (/ (pow y 3) (pow x 3)))) (+ (* -1 (/ (pow y 2) (pow x 2))) (/ y x)))
(/ -1 x)
(/ (- (/ y x) 1) x)
(/ (- (* -1 (/ (pow y 2) (pow x 2))) (+ 1 (* -1 (/ y x)))) x)
(/ (- (/ (pow y 3) (pow x 3)) (+ 1 (+ (* -1 (/ y x)) (/ (pow y 2) (pow x 2))))) x)
x
(* x (+ 1 (/ y x)))
(/ y x)
(/ (+ y (* -1 (/ (pow y 2) x))) x)
(/ (- (+ y (/ (pow y 3) (pow x 2))) (/ (pow y 2) x)) x)
(/ (- (+ y (* -1 (/ (pow y 4) (pow x 3)))) (+ (* -1 (/ (pow y 3) (pow x 2))) (/ (pow y 2) x))) x)
(+ 1 (* -1 (/ (- y (* -1 y)) x)))
(+ 1 (* -1 (/ (- (+ y (* -2 (/ (pow y 2) x))) (* -1 y)) x)))
(+ 1 (* -1 (/ (- (+ y (* -1 (/ (+ (* -2 (/ (pow y 3) x)) (* 2 (pow y 2))) x))) (* -1 y)) x)))
(+ 1 (* -1 (/ (- (* -1 (/ (pow y 2) x)) (* -1 y)) x)))
(+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow y 3) x)) (* -1 (pow y 2))) x)) (* -1 y)) x)))
(* -1 (/ (+ 1 (* -1 (/ y x))) x))
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (pow y 2) x)) (* -1 y)) x))) x))
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow y 3) x)) (* -1 (pow y 2))) x)) (* -1 y)) x))) x))
(* -1 (* x (- (* -1 (/ y x)) 1)))
(* -1 (/ (+ (* -1 y) (/ (pow y 2) x)) x))
(* -1 (/ (+ (* -1 y) (* -1 (/ (- (/ (pow y 3) x) (pow y 2)) x))) x))
(* -1 (/ (+ (* -1 y) (* -1 (/ (- (* -1 (/ (- (/ (pow y 4) x) (pow y 3)) x)) (pow y 2)) x))) 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 (* y (- (/ y (pow x 2)) (/ 1 x))))
(+ 1 (* y (- (* y (+ (* -1 (/ y (pow x 3))) (/ 1 (pow x 2)))) (/ 1 x))))
(- (/ y (pow x 2)) (/ 1 x))
(- (* y (+ (* -1 (/ y (pow x 3))) (/ 1 (pow x 2)))) (/ 1 x))
(- (* y (+ (* y (- (/ y (pow x 4)) (/ 1 (pow x 3)))) (/ 1 (pow x 2)))) (/ 1 x))
(* y (+ (* -1 (/ y (pow x 2))) (/ 1 x)))
(* y (+ (* y (- (/ y (pow x 3)) (/ 1 (pow x 2)))) (/ 1 x)))
(* y (+ (* y (- (* y (+ (* -1 (/ y (pow x 4))) (/ 1 (pow x 3)))) (/ 1 (pow x 2)))) (/ 1 x)))
(- (+ (* -1 (/ (pow x 2) (pow y 2))) (* 2 (/ x y))) (+ 1 (/ (pow x 2) (pow y 2))))
(- (+ (* -1 (/ (pow x 2) (pow y 2))) (+ (* 2 (/ x y)) (/ (pow x 3) (pow y 3)))) (+ 1 (+ (* -1 (/ (pow x 3) (pow y 3))) (/ (pow x 2) (pow y 2)))))
(/ (+ x (* -1 (/ (pow x 2) y))) y)
(/ (- (+ x (/ (pow x 3) (pow y 2))) (/ (pow x 2) y)) y)
(/ (- (+ x (* -1 (/ (pow x 4) (pow y 3)))) (+ (* -1 (/ (pow x 3) (pow y 2))) (/ (pow x 2) y))) y)
(/ (- (/ x y) 1) y)
(/ (- (* -1 (/ (pow x 2) (pow y 2))) (+ 1 (* -1 (/ x y)))) y)
(/ (- (/ (pow x 3) (pow y 3)) (+ 1 (+ (* -1 (/ x y)) (/ (pow x 2) (pow y 2))))) y)
(* y (+ 1 (/ x y)))
(- (+ 1 (/ (pow x 2) (pow y 2))) (/ x y))
(- (+ 1 (* -1 (/ (pow x 3) (pow y 3)))) (+ (* -1 (/ (pow x 2) (pow y 2))) (/ x y)))
(- (* -1 (/ (- (* -1 x) x) y)) 1)
(- (* -1 (/ (- (+ (* -1 x) (* 2 (/ (pow x 2) y))) x) y)) 1)
(- (* -1 (/ (- (+ (* -1 x) (* -1 (/ (- (* 2 (/ (pow x 3) y)) (* 2 (pow x 2))) y))) x) y)) 1)
(* -1 (/ (+ (* -1 x) (/ (pow x 2) y)) y))
(* -1 (/ (+ (* -1 x) (* -1 (/ (- (/ (pow x 3) y) (pow x 2)) y))) y))
(* -1 (/ (+ (* -1 x) (* -1 (/ (- (* -1 (/ (- (/ (pow x 4) y) (pow x 3)) y)) (pow x 2)) y))) y))
(* -1 (/ (+ 1 (* -1 (/ x y))) y))
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (pow x 2) y)) (* -1 x)) y))) y))
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow x 3) y)) (* -1 (pow x 2))) y)) (* -1 x)) y))) y))
(* -1 (* y (- (* -1 (/ x y)) 1)))
(+ 1 (* -1 (/ (- (* -1 (/ (pow x 2) y)) (* -1 x)) y)))
(+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow x 3) y)) (* -1 (pow x 2))) y)) (* -1 x)) y)))
Outputs
-1
#s(literal -1 binary64)
(- (* 2 (/ x y)) 1)
(fma.f64 (/.f64 x y) #s(literal 2 binary64) #s(literal -1 binary64))
(- (* x (+ (* -2 (/ x (pow y 2))) (* 2 (/ 1 y)))) 1)
(fma.f64 (fma.f64 (/.f64 (/.f64 x y) y) #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) y)) x #s(literal -1 binary64))
(- (* x (+ (* x (- (* 2 (/ x (pow y 3))) (* 2 (/ 1 (pow y 2))))) (* 2 (/ 1 y)))) 1)
(fma.f64 (*.f64 #s(literal 2 binary64) (fma.f64 (/.f64 x (pow.f64 y #s(literal 3 binary64))) x (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) y))) x #s(literal -1 binary64))
(/ x y)
(/.f64 x y)
(* x (+ (* -1 (/ x (pow y 2))) (/ 1 y)))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) y) x)
(* x (+ (* x (- (/ x (pow y 3)) (/ 1 (pow y 2)))) (/ 1 y)))
(/.f64 (fma.f64 (*.f64 (/.f64 x y) x) (-.f64 (/.f64 x y) #s(literal 1 binary64)) x) y)
(* x (+ (* x (- (* x (+ (* -1 (/ x (pow y 4))) (/ 1 (pow y 3)))) (/ 1 (pow y 2)))) (/ 1 y)))
(*.f64 (fma.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) (/.f64 x (pow.f64 y #s(literal 4 binary64)))) x) x (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) y)) x)
(/ -1 y)
(/.f64 #s(literal -1 binary64) y)
(- (/ x (pow y 2)) (/ 1 y))
(/.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) y)
(- (* x (+ (* -1 (/ x (pow y 3))) (/ 1 (pow y 2)))) (/ 1 y))
(/.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) y) x #s(literal -1 binary64)) y)
(- (* x (+ (* x (- (/ x (pow y 4)) (/ 1 (pow y 3)))) (/ 1 (pow y 2)))) (/ 1 y))
(fma.f64 (*.f64 x x) (-.f64 (/.f64 x (pow.f64 y #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (/.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) y))
y
(+ x y)
(+.f64 y x)
1
#s(literal 1 binary64)
(+ 1 (* -1 (/ x y)))
(-.f64 #s(literal 1 binary64) (/.f64 x y))
(+ 1 (* x (- (/ x (pow y 2)) (/ 1 y))))
(fma.f64 (/.f64 x y) (-.f64 (/.f64 x y) #s(literal 1 binary64)) #s(literal 1 binary64))
(+ 1 (* x (- (* x (+ (* -1 (/ x (pow y 3))) (/ 1 (pow y 2)))) (/ 1 y))))
(fma.f64 (/.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) y) x #s(literal -1 binary64)) y) x #s(literal 1 binary64))
(+ 1 (* -2 (/ y x)))
(fma.f64 (/.f64 y x) #s(literal -2 binary64) #s(literal 1 binary64))
(- (+ 1 (/ (pow y 2) (pow x 2))) (+ (* -1 (/ (pow y 2) (pow x 2))) (* 2 (/ y x))))
(fma.f64 (/.f64 (-.f64 (/.f64 y x) #s(literal 1 binary64)) x) (*.f64 #s(literal 2 binary64) y) #s(literal 1 binary64))
(- (+ 1 (+ (* -1 (/ (pow y 3) (pow x 3))) (/ (pow y 2) (pow x 2)))) (+ (* -1 (/ (pow y 2) (pow x 2))) (+ (* 2 (/ y x)) (/ (pow y 3) (pow x 3)))))
(-.f64 (fma.f64 (/.f64 (-.f64 (/.f64 y x) #s(literal 1 binary64)) x) (*.f64 #s(literal 2 binary64) y) (neg.f64 (pow.f64 (/.f64 y x) #s(literal 3 binary64)))) (-.f64 (pow.f64 (/.f64 y x) #s(literal 3 binary64)) #s(literal 1 binary64)))
(+ 1 (* -1 (/ y x)))
(-.f64 #s(literal 1 binary64) (/.f64 y x))
(- (+ 1 (/ (pow y 2) (pow x 2))) (/ y x))
(fma.f64 (/.f64 y x) (-.f64 (/.f64 y x) #s(literal 1 binary64)) #s(literal 1 binary64))
(- (+ 1 (* -1 (/ (pow y 3) (pow x 3)))) (+ (* -1 (/ (pow y 2) (pow x 2))) (/ y x)))
(fma.f64 (/.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x) y #s(literal -1 binary64)) x) y #s(literal 1 binary64))
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(/ (- (/ y x) 1) x)
(/.f64 (-.f64 (/.f64 y x) #s(literal 1 binary64)) x)
(/ (- (* -1 (/ (pow y 2) (pow x 2))) (+ 1 (* -1 (/ y x)))) x)
(/.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x) y #s(literal -1 binary64)) x)
(/ (- (/ (pow y 3) (pow x 3)) (+ 1 (+ (* -1 (/ y x)) (/ (pow y 2) (pow x 2))))) x)
(/.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x) y (-.f64 (pow.f64 (/.f64 y x) #s(literal 3 binary64)) #s(literal 1 binary64))) x)
x
(* x (+ 1 (/ y x)))
(fma.f64 (/.f64 y x) x x)
(/ y x)
(/.f64 y x)
(/ (+ y (* -1 (/ (pow y 2) x))) x)
(/.f64 (*.f64 y (-.f64 #s(literal 1 binary64) (/.f64 y x))) x)
(/ (- (+ y (/ (pow y 3) (pow x 2))) (/ (pow y 2) x)) x)
(/.f64 (fma.f64 (*.f64 (/.f64 y x) y) (-.f64 (/.f64 y x) #s(literal 1 binary64)) y) x)
(/ (- (+ y (* -1 (/ (pow y 4) (pow x 3)))) (+ (* -1 (/ (pow y 3) (pow x 2))) (/ (pow y 2) x))) x)
(/.f64 (neg.f64 (-.f64 (/.f64 (fma.f64 y y (/.f64 (-.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) x) (pow.f64 y #s(literal 3 binary64))) x)) x) y)) x)
(+ 1 (* -1 (/ (- y (* -1 y)) x)))
(fma.f64 (/.f64 y x) #s(literal -2 binary64) #s(literal 1 binary64))
(+ 1 (* -1 (/ (- (+ y (* -2 (/ (pow y 2) x))) (* -1 y)) x)))
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 (/.f64 y x) y) #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) y)) x))
(+ 1 (* -1 (/ (- (+ y (* -1 (/ (+ (* -2 (/ (pow y 3) x)) (* 2 (pow y 2))) x))) (* -1 y)) x)))
(-.f64 #s(literal 1 binary64) (/.f64 (+.f64 (-.f64 y (/.f64 (fma.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) x) #s(literal -2 binary64) (*.f64 (*.f64 #s(literal 2 binary64) y) y)) x)) y) x))
(+ 1 (* -1 (/ (- (* -1 (/ (pow y 2) x)) (* -1 y)) x)))
(fma.f64 (/.f64 y x) (-.f64 (/.f64 y x) #s(literal 1 binary64)) #s(literal 1 binary64))
(+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow y 3) x)) (* -1 (pow y 2))) x)) (* -1 y)) x)))
(fma.f64 (/.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x) y #s(literal -1 binary64)) x) y #s(literal 1 binary64))
(* -1 (/ (+ 1 (* -1 (/ y x))) x))
(/.f64 (-.f64 (/.f64 y x) #s(literal 1 binary64)) x)
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (pow y 2) x)) (* -1 y)) x))) x))
(/.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x) y #s(literal -1 binary64)) x)
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow y 3) x)) (* -1 (pow y 2))) x)) (* -1 y)) x))) x))
(/.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x) y (-.f64 (pow.f64 (/.f64 y x) #s(literal 3 binary64)) #s(literal 1 binary64))) x)
(* -1 (* x (- (* -1 (/ y x)) 1)))
(fma.f64 (/.f64 y x) x x)
(* -1 (/ (+ (* -1 y) (/ (pow y 2) x)) x))
(/.f64 (*.f64 y (-.f64 #s(literal 1 binary64) (/.f64 y x))) x)
(* -1 (/ (+ (* -1 y) (* -1 (/ (- (/ (pow y 3) x) (pow y 2)) x))) x))
(/.f64 (fma.f64 (*.f64 (/.f64 y x) y) (-.f64 (/.f64 y x) #s(literal 1 binary64)) y) x)
(* -1 (/ (+ (* -1 y) (* -1 (/ (- (* -1 (/ (- (/ (pow y 4) x) (pow y 3)) x)) (pow y 2)) x))) x))
(/.f64 (neg.f64 (-.f64 (/.f64 (fma.f64 y y (/.f64 (-.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) x) (pow.f64 y #s(literal 3 binary64))) x)) x) y)) x)
(+ 1 (* y (- (* 2 (/ y (pow x 2))) (* 2 (/ 1 x)))))
(fma.f64 (/.f64 (-.f64 (/.f64 y x) #s(literal 1 binary64)) x) (*.f64 #s(literal 2 binary64) y) #s(literal 1 binary64))
(+ 1 (* y (- (* y (+ (* -2 (/ y (pow x 3))) (* 2 (/ 1 (pow x 2))))) (* 2 (/ 1 x)))))
(fma.f64 (fma.f64 (fma.f64 (/.f64 y (pow.f64 x #s(literal 3 binary64))) #s(literal -2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) x) x)) y (/.f64 #s(literal -2 binary64) x)) y #s(literal 1 binary64))
(+ 1 (* y (- (/ y (pow x 2)) (/ 1 x))))
(fma.f64 (/.f64 y x) (-.f64 (/.f64 y x) #s(literal 1 binary64)) #s(literal 1 binary64))
(+ 1 (* y (- (* y (+ (* -1 (/ y (pow x 3))) (/ 1 (pow x 2)))) (/ 1 x))))
(fma.f64 (/.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x) y #s(literal -1 binary64)) x) y #s(literal 1 binary64))
(- (/ y (pow x 2)) (/ 1 x))
(/.f64 (-.f64 (/.f64 y x) #s(literal 1 binary64)) x)
(- (* y (+ (* -1 (/ y (pow x 3))) (/ 1 (pow x 2)))) (/ 1 x))
(/.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x) y #s(literal -1 binary64)) x)
(- (* y (+ (* y (- (/ y (pow x 4)) (/ 1 (pow x 3)))) (/ 1 (pow x 2)))) (/ 1 x))
(fma.f64 (*.f64 (-.f64 (/.f64 y (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) y) y (/.f64 (-.f64 (/.f64 y x) #s(literal 1 binary64)) x))
(* y (+ (* -1 (/ y (pow x 2))) (/ 1 x)))
(/.f64 (*.f64 y (-.f64 #s(literal 1 binary64) (/.f64 y x))) x)
(* y (+ (* y (- (/ y (pow x 3)) (/ 1 (pow x 2)))) (/ 1 x)))
(/.f64 (fma.f64 (*.f64 (/.f64 y x) y) (-.f64 (/.f64 y x) #s(literal 1 binary64)) y) x)
(* y (+ (* y (- (* y (+ (* -1 (/ y (pow x 4))) (/ 1 (pow x 3)))) (/ 1 (pow x 2)))) (/ 1 x)))
(*.f64 (fma.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 y (pow.f64 x #s(literal 4 binary64)))) y) y (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x)) y)
(- (+ (* -1 (/ (pow x 2) (pow y 2))) (* 2 (/ x y))) (+ 1 (/ (pow x 2) (pow y 2))))
(fma.f64 (fma.f64 (/.f64 (/.f64 x y) y) #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) y)) x #s(literal -1 binary64))
(- (+ (* -1 (/ (pow x 2) (pow y 2))) (+ (* 2 (/ x y)) (/ (pow x 3) (pow y 3)))) (+ 1 (+ (* -1 (/ (pow x 3) (pow y 3))) (/ (pow x 2) (pow y 2)))))
(+.f64 (+.f64 (fma.f64 (/.f64 #s(literal 2 binary64) y) x (pow.f64 (/.f64 x y) #s(literal 3 binary64))) (fma.f64 (*.f64 (/.f64 #s(literal -2 binary64) (*.f64 y y)) x) x #s(literal -1 binary64))) (pow.f64 (/.f64 x y) #s(literal 3 binary64)))
(/ (+ x (* -1 (/ (pow x 2) y))) y)
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) y) x)
(/ (- (+ x (/ (pow x 3) (pow y 2))) (/ (pow x 2) y)) y)
(/.f64 (fma.f64 (*.f64 (/.f64 x y) x) (-.f64 (/.f64 x y) #s(literal 1 binary64)) x) y)
(/ (- (+ x (* -1 (/ (pow x 4) (pow y 3)))) (+ (* -1 (/ (pow x 3) (pow y 2))) (/ (pow x 2) y))) y)
(/.f64 (neg.f64 (-.f64 (/.f64 (fma.f64 x x (/.f64 (-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) y) (pow.f64 x #s(literal 3 binary64))) y)) y) x)) y)
(/ (- (/ x y) 1) y)
(/.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) y)
(/ (- (* -1 (/ (pow x 2) (pow y 2))) (+ 1 (* -1 (/ x y)))) y)
(/.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) y) x #s(literal -1 binary64)) y)
(/ (- (/ (pow x 3) (pow y 3)) (+ 1 (+ (* -1 (/ x y)) (/ (pow x 2) (pow y 2))))) y)
(/.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) y) x (-.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal 1 binary64))) y)
(* y (+ 1 (/ x y)))
(fma.f64 (/.f64 x y) y y)
(- (+ 1 (/ (pow x 2) (pow y 2))) (/ x y))
(fma.f64 (/.f64 x y) (-.f64 (/.f64 x y) #s(literal 1 binary64)) #s(literal 1 binary64))
(- (+ 1 (* -1 (/ (pow x 3) (pow y 3)))) (+ (* -1 (/ (pow x 2) (pow y 2))) (/ x y)))
(fma.f64 (/.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) y) x #s(literal -1 binary64)) y) x #s(literal 1 binary64))
(- (* -1 (/ (- (* -1 x) x) y)) 1)
(fma.f64 (/.f64 x y) #s(literal 2 binary64) #s(literal -1 binary64))
(- (* -1 (/ (- (+ (* -1 x) (* 2 (/ (pow x 2) y))) x) y)) 1)
(-.f64 #s(literal -1 binary64) (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 x (-.f64 (/.f64 x y) #s(literal 1 binary64)))) y))
(- (* -1 (/ (- (+ (* -1 x) (* -1 (/ (- (* 2 (/ (pow x 3) y)) (* 2 (pow x 2))) y))) x) y)) 1)
(-.f64 (/.f64 (fma.f64 (/.f64 (*.f64 x (*.f64 x (-.f64 (/.f64 x y) #s(literal 1 binary64)))) y) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) x)) y) #s(literal 1 binary64))
(* -1 (/ (+ (* -1 x) (/ (pow x 2) y)) y))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) y) x)
(* -1 (/ (+ (* -1 x) (* -1 (/ (- (/ (pow x 3) y) (pow x 2)) y))) y))
(/.f64 (fma.f64 (*.f64 (/.f64 x y) x) (-.f64 (/.f64 x y) #s(literal 1 binary64)) x) y)
(* -1 (/ (+ (* -1 x) (* -1 (/ (- (* -1 (/ (- (/ (pow x 4) y) (pow x 3)) y)) (pow x 2)) y))) y))
(/.f64 (neg.f64 (-.f64 (/.f64 (fma.f64 x x (/.f64 (-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) y) (pow.f64 x #s(literal 3 binary64))) y)) y) x)) y)
(* -1 (/ (+ 1 (* -1 (/ x y))) y))
(/.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) y)
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (pow x 2) y)) (* -1 x)) y))) y))
(/.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) y) x #s(literal -1 binary64)) y)
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow x 3) y)) (* -1 (pow x 2))) y)) (* -1 x)) y))) y))
(/.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) y) x (-.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal 1 binary64))) y)
(* -1 (* y (- (* -1 (/ x y)) 1)))
(fma.f64 (/.f64 x y) y y)
(+ 1 (* -1 (/ (- (* -1 (/ (pow x 2) y)) (* -1 x)) y)))
(fma.f64 (/.f64 x y) (-.f64 (/.f64 x y) #s(literal 1 binary64)) #s(literal 1 binary64))
(+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow x 3) y)) (* -1 (pow x 2))) y)) (* -1 x)) y)))
(fma.f64 (/.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) y) x #s(literal -1 binary64)) y) x #s(literal 1 binary64))

rewrite261.0ms (4.2%)

Memory
15.8MiB live, 219.2MiB allocated
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01035
01735
18029
266225
0898925
Stop Event
iter limit
node limit
iter limit
Counts
5 → 459
Calls
Call 1
Inputs
(-.f64 (*.f64 (/.f64 #s(literal -1 binary64) (+.f64 x y)) (neg.f64 x)) (/.f64 y (+.f64 y x)))
(*.f64 (/.f64 #s(literal -1 binary64) (+.f64 x y)) (neg.f64 x))
(/.f64 #s(literal -1 binary64) (+.f64 x y))
(+.f64 x y)
(/.f64 y (+.f64 y x))
Outputs
(*.f64 (fma.f64 x (/.f64 (+.f64 x y) y) (-.f64 (neg.f64 x) y)) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (+.f64 x y) #s(literal 2 binary64)) (pow.f64 y #s(literal -1 binary64)))))
(*.f64 (neg.f64 (/.f64 (*.f64 (+.f64 x y) (-.f64 x y)) (pow.f64 (+.f64 x y) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (-.f64 x (neg.f64 y)) (+.f64 x y)))))
(*.f64 (neg.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (pow.f64 (+.f64 x y) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (/.f64 y (+.f64 x y)) (/.f64 (-.f64 x (neg.f64 y)) (+.f64 x y)) (pow.f64 (/.f64 x (+.f64 x y)) #s(literal 2 binary64))))))
(*.f64 (-.f64 (*.f64 x (-.f64 (neg.f64 x) y)) (*.f64 (-.f64 (neg.f64 x) y) y)) (/.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (+.f64 x y) #s(literal 2 binary64)))))
(*.f64 (fma.f64 x (+.f64 x y) (*.f64 (-.f64 (neg.f64 x) y) y)) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 x y) #s(literal 2 binary64))))
(*.f64 (/.f64 (-.f64 x (neg.f64 y)) (+.f64 x y)) (*.f64 (/.f64 (-.f64 x y) (+.f64 x y)) (pow.f64 (/.f64 (-.f64 x (neg.f64 y)) (+.f64 x y)) #s(literal -1 binary64))))
(*.f64 (/.f64 (*.f64 (+.f64 x y) (-.f64 x y)) (pow.f64 (+.f64 x y) #s(literal 2 binary64))) (pow.f64 (/.f64 (-.f64 x (neg.f64 y)) (+.f64 x y)) #s(literal -1 binary64)))
(*.f64 (-.f64 y x) (-.f64 (/.f64 x (*.f64 (+.f64 x y) (-.f64 y x))) (/.f64 y (*.f64 (+.f64 x y) (-.f64 y x)))))
(*.f64 (-.f64 x y) (pow.f64 (+.f64 x y) #s(literal -1 binary64)))
(*.f64 (pow.f64 (+.f64 x y) #s(literal -1 binary64)) (fma.f64 y #s(literal -1 binary64) x))
(*.f64 (pow.f64 (+.f64 x y) #s(literal -1 binary64)) (-.f64 x y))
(*.f64 (fma.f64 (/.f64 y (+.f64 x y)) (/.f64 (-.f64 x (neg.f64 y)) (+.f64 x y)) (pow.f64 (/.f64 x (+.f64 x y)) #s(literal 2 binary64))) (*.f64 (/.f64 (-.f64 x y) (+.f64 x y)) (pow.f64 (fma.f64 (/.f64 y (+.f64 x y)) (/.f64 (-.f64 x (neg.f64 y)) (+.f64 x y)) (pow.f64 (/.f64 x (+.f64 x y)) #s(literal 2 binary64))) #s(literal -1 binary64))))
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (pow.f64 (+.f64 x y) #s(literal 3 binary64))) (pow.f64 (fma.f64 (/.f64 y (+.f64 x y)) (/.f64 (-.f64 x (neg.f64 y)) (+.f64 x y)) (pow.f64 (/.f64 x (+.f64 x y)) #s(literal 2 binary64))) #s(literal -1 binary64)))
(*.f64 (fma.f64 x (-.f64 x y) (*.f64 y y)) (-.f64 (/.f64 x (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (/.f64 y (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))))
(*.f64 (fma.f64 y (-.f64 y x) (*.f64 x x)) (-.f64 (/.f64 x (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (/.f64 y (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))))
(*.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (+.f64 x y)))
(*.f64 (/.f64 #s(literal -1 binary64) (+.f64 x y)) (-.f64 (neg.f64 x) (neg.f64 y)))
(*.f64 (/.f64 #s(literal -1 binary64) (+.f64 x y)) (fma.f64 x #s(literal -1 binary64) y))
(*.f64 (/.f64 #s(literal -1 binary64) (+.f64 x y)) (-.f64 y x))
(*.f64 #s(literal -1 binary64) (+.f64 (/.f64 y (+.f64 x y)) (/.f64 x (-.f64 (neg.f64 x) y))))
(*.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (+.f64 x y)) (-.f64 x y)))
(pow.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (+.f64 x y))) #s(literal -1 binary64))
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (/.f64 x (+.f64 x y)) #s(literal 2 binary64)) (/.f64 (-.f64 x (neg.f64 y)) (+.f64 x y))) (/.f64 (pow.f64 (/.f64 x (+.f64 x y)) #s(literal 2 binary64)) (/.f64 (-.f64 x (neg.f64 y)) (+.f64 x y)))) (*.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 x y)) #s(literal 2 binary64)) (/.f64 (-.f64 x (neg.f64 y)) (+.f64 x y))) (/.f64 (pow.f64 (/.f64 y (+.f64 x y)) #s(literal 2 binary64)) (/.f64 (-.f64 x (neg.f64 y)) (+.f64 x y))))) (+.f64 (/.f64 (pow.f64 (/.f64 x (+.f64 x y)) #s(literal 2 binary64)) (/.f64 (-.f64 x (neg.f64 y)) (+.f64 x y))) (/.f64 (pow.f64 (/.f64 y (+.f64 x y)) #s(literal 2 binary64)) (/.f64 (-.f64 x (neg.f64 y)) (+.f64 x y)))))
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (/.f64 x (+.f64 x y)) #s(literal 3 binary64)) (fma.f64 (/.f64 y (+.f64 x y)) (/.f64 (-.f64 x (neg.f64 y)) (+.f64 x y)) (pow.f64 (/.f64 x (+.f64 x y)) #s(literal 2 binary64)))) (/.f64 (pow.f64 (/.f64 x (+.f64 x y)) #s(literal 3 binary64)) (fma.f64 (/.f64 y (+.f64 x y)) (/.f64 (-.f64 x (neg.f64 y)) (+.f64 x y)) (pow.f64 (/.f64 x (+.f64 x y)) #s(literal 2 binary64))))) (*.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 x y)) #s(literal 3 binary64)) (fma.f64 (/.f64 y (+.f64 x y)) (/.f64 (-.f64 x (neg.f64 y)) (+.f64 x y)) (pow.f64 (/.f64 x (+.f64 x y)) #s(literal 2 binary64)))) (/.f64 (pow.f64 (/.f64 y (+.f64 x y)) #s(literal 3 binary64)) (fma.f64 (/.f64 y (+.f64 x y)) (/.f64 (-.f64 x (neg.f64 y)) (+.f64 x y)) (pow.f64 (/.f64 x (+.f64 x y)) #s(literal 2 binary64)))))) (+.f64 (/.f64 (pow.f64 (/.f64 x (+.f64 x y)) #s(literal 3 binary64)) (fma.f64 (/.f64 y (+.f64 x y)) (/.f64 (-.f64 x (neg.f64 y)) (+.f64 x y)) (pow.f64 (/.f64 x (+.f64 x y)) #s(literal 2 binary64)))) (/.f64 (pow.f64 (/.f64 y (+.f64 x y)) #s(literal 3 binary64)) (fma.f64 (/.f64 y (+.f64 x y)) (/.f64 (-.f64 x (neg.f64 y)) (+.f64 x y)) (pow.f64 (/.f64 x (+.f64 x y)) #s(literal 2 binary64))))))
(/.f64 (-.f64 (pow.f64 (/.f64 y (+.f64 x y)) #s(literal 2 binary64)) (pow.f64 (/.f64 x (+.f64 x y)) #s(literal 2 binary64))) (-.f64 (/.f64 y (-.f64 (neg.f64 x) y)) (/.f64 x (+.f64 x y))))
(/.f64 (fma.f64 x (/.f64 (+.f64 x y) y) (-.f64 (neg.f64 x) y)) (*.f64 (-.f64 (neg.f64 x) y) (/.f64 (-.f64 (neg.f64 x) y) y)))
(/.f64 (fma.f64 x (/.f64 (+.f64 x y) y) (-.f64 (neg.f64 x) y)) (*.f64 (pow.f64 (+.f64 x y) #s(literal 2 binary64)) (pow.f64 y #s(literal -1 binary64))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (/.f64 x (+.f64 x y)) #s(literal 2 binary64)) (/.f64 (-.f64 x (neg.f64 y)) (+.f64 x y))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 x y)) #s(literal 2 binary64)) (/.f64 (-.f64 x (neg.f64 y)) (+.f64 x y))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (/.f64 x (+.f64 x y)) #s(literal 2 binary64)) (/.f64 (-.f64 x (neg.f64 y)) (+.f64 x y))) (/.f64 (pow.f64 (/.f64 x (+.f64 x y)) #s(literal 2 binary64)) (/.f64 (-.f64 x (neg.f64 y)) (+.f64 x y))) (fma.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 x y)) #s(literal 2 binary64)) (/.f64 (-.f64 x (neg.f64 y)) (+.f64 x y))) (/.f64 (pow.f64 (/.f64 y (+.f64 x y)) #s(literal 2 binary64)) (/.f64 (-.f64 x (neg.f64 y)) (+.f64 x y))) (*.f64 (/.f64 (pow.f64 (/.f64 x (+.f64 x y)) #s(literal 2 binary64)) (/.f64 (-.f64 x (neg.f64 y)) (+.f64 x y))) (/.f64 (pow.f64 (/.f64 y (+.f64 x y)) #s(literal 2 binary64)) (/.f64 (-.f64 x (neg.f64 y)) (+.f64 x y)))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (/.f64 x (+.f64 x y)) #s(literal 3 binary64)) (fma.f64 (/.f64 y (+.f64 x y)) (/.f64 (-.f64 x (neg.f64 y)) (+.f64 x y)) (pow.f64 (/.f64 x (+.f64 x y)) #s(literal 2 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 x y)) #s(literal 3 binary64)) (fma.f64 (/.f64 y (+.f64 x y)) (/.f64 (-.f64 x (neg.f64 y)) (+.f64 x y)) (pow.f64 (/.f64 x (+.f64 x y)) #s(literal 2 binary64)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (/.f64 x (+.f64 x y)) #s(literal 3 binary64)) (fma.f64 (/.f64 y (+.f64 x y)) (/.f64 (-.f64 x (neg.f64 y)) (+.f64 x y)) (pow.f64 (/.f64 x (+.f64 x y)) #s(literal 2 binary64)))) (/.f64 (pow.f64 (/.f64 x (+.f64 x y)) #s(literal 3 binary64)) (fma.f64 (/.f64 y (+.f64 x y)) (/.f64 (-.f64 x (neg.f64 y)) (+.f64 x y)) (pow.f64 (/.f64 x (+.f64 x y)) #s(literal 2 binary64)))) (fma.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 x y)) #s(literal 3 binary64)) (fma.f64 (/.f64 y (+.f64 x y)) (/.f64 (-.f64 x (neg.f64 y)) (+.f64 x y)) (pow.f64 (/.f64 x (+.f64 x y)) #s(literal 2 binary64)))) (/.f64 (pow.f64 (/.f64 y (+.f64 x y)) #s(literal 3 binary64)) (fma.f64 (/.f64 y (+.f64 x y)) (/.f64 (-.f64 x (neg.f64 y)) (+.f64 x y)) (pow.f64 (/.f64 x (+.f64 x y)) #s(literal 2 binary64)))) (*.f64 (/.f64 (pow.f64 (/.f64 x (+.f64 x y)) #s(literal 3 binary64)) (fma.f64 (/.f64 y (+.f64 x y)) (/.f64 (-.f64 x (neg.f64 y)) (+.f64 x y)) (pow.f64 (/.f64 x (+.f64 x y)) #s(literal 2 binary64)))) (/.f64 (pow.f64 (/.f64 y (+.f64 x y)) #s(literal 3 binary64)) (fma.f64 (/.f64 y (+.f64 x y)) (/.f64 (-.f64 x (neg.f64 y)) (+.f64 x y)) (pow.f64 (/.f64 x (+.f64 x y)) #s(literal 2 binary64))))))))
(/.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 (/.f64 y (+.f64 x y)) #s(literal 3 binary64)) (pow.f64 (/.f64 x (+.f64 x y)) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 y (+.f64 x y)) #s(literal 2 binary64)) (-.f64 (pow.f64 (/.f64 x (+.f64 x y)) #s(literal 2 binary64)) (*.f64 (/.f64 y (-.f64 (neg.f64 x) y)) (/.f64 x (+.f64 x y))))))
(/.f64 (neg.f64 (neg.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (pow.f64 (+.f64 x y) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (/.f64 y (+.f64 x y)) (/.f64 (-.f64 x (neg.f64 y)) (+.f64 x y)) (pow.f64 (/.f64 x (+.f64 x y)) #s(literal 2 binary64))))))
(/.f64 (neg.f64 (-.f64 (*.f64 x (-.f64 (neg.f64 x) y)) (*.f64 (-.f64 (neg.f64 x) y) y))) (pow.f64 (+.f64 x y) #s(literal 2 binary64)))
(/.f64 (neg.f64 (fma.f64 x (/.f64 (+.f64 x y) y) (-.f64 (neg.f64 x) y))) (*.f64 (neg.f64 (pow.f64 (+.f64 x y) #s(literal 2 binary64))) (pow.f64 y #s(literal -1 binary64))))
(/.f64 (neg.f64 (fma.f64 x (+.f64 x y) (*.f64 (-.f64 (neg.f64 x) y) y))) (neg.f64 (pow.f64 (+.f64 x y) #s(literal 2 binary64))))
(/.f64 (-.f64 (*.f64 (pow.f64 (/.f64 x (+.f64 x y)) #s(literal 2 binary64)) (/.f64 (-.f64 x (neg.f64 y)) (+.f64 x y))) (*.f64 (/.f64 (-.f64 x (neg.f64 y)) (+.f64 x y)) (pow.f64 (/.f64 y (+.f64 x y)) #s(literal 2 binary64)))) (*.f64 (/.f64 (-.f64 x (neg.f64 y)) (+.f64 x y)) (/.f64 (-.f64 x (neg.f64 y)) (+.f64 x y))))
(/.f64 (-.f64 (*.f64 (pow.f64 (/.f64 x (+.f64 x y)) #s(literal 3 binary64)) (fma.f64 (/.f64 y (+.f64 x y)) (/.f64 (-.f64 x (neg.f64 y)) (+.f64 x y)) (pow.f64 (/.f64 x (+.f64 x y)) #s(literal 2 binary64)))) (*.f64 (fma.f64 (/.f64 y (+.f64 x y)) (/.f64 (-.f64 x (neg.f64 y)) (+.f64 x y)) (pow.f64 (/.f64 x (+.f64 x y)) #s(literal 2 binary64))) (pow.f64 (/.f64 y (+.f64 x y)) #s(literal 3 binary64)))) (*.f64 (fma.f64 (/.f64 y (+.f64 x y)) (/.f64 (-.f64 x (neg.f64 y)) (+.f64 x y)) (pow.f64 (/.f64 x (+.f64 x y)) #s(literal 2 binary64))) (fma.f64 (/.f64 y (+.f64 x y)) (/.f64 (-.f64 x (neg.f64 y)) (+.f64 x y)) (pow.f64 (/.f64 x (+.f64 x y)) #s(literal 2 binary64)))))
(/.f64 (-.f64 (*.f64 (neg.f64 x) (/.f64 (+.f64 x y) y)) (-.f64 (neg.f64 x) y)) (*.f64 (neg.f64 (pow.f64 (+.f64 x y) #s(literal 2 binary64))) (pow.f64 y #s(literal -1 binary64))))
(/.f64 (-.f64 (*.f64 x (/.f64 (-.f64 (neg.f64 x) y) y)) (-.f64 (neg.f64 x) y)) (*.f64 (+.f64 x y) (/.f64 (-.f64 (neg.f64 x) y) y)))
(/.f64 (-.f64 (+.f64 x y) (*.f64 (/.f64 (+.f64 x y) x) y)) (*.f64 (/.f64 (+.f64 x y) x) (+.f64 x y)))
(/.f64 (-.f64 (-.f64 (neg.f64 x) y) (*.f64 (/.f64 (+.f64 x y) x) (neg.f64 y))) (*.f64 (/.f64 (+.f64 x y) x) (-.f64 (neg.f64 x) y)))
(/.f64 (-.f64 (/.f64 (+.f64 x y) y) (*.f64 (/.f64 (+.f64 x y) x) #s(literal 1 binary64))) (*.f64 (/.f64 (+.f64 x y) x) (/.f64 (+.f64 x y) y)))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (/.f64 (-.f64 (neg.f64 x) y) y)) (*.f64 (/.f64 (+.f64 x y) x) #s(literal -1 binary64))) (*.f64 (/.f64 (+.f64 x y) x) (/.f64 (-.f64 (neg.f64 x) y) y)))
(/.f64 (-.f64 (*.f64 x (+.f64 x y)) (*.f64 (-.f64 (neg.f64 x) y) (neg.f64 y))) (pow.f64 (+.f64 x y) #s(literal 2 binary64)))
(/.f64 (fma.f64 x (/.f64 (-.f64 (neg.f64 x) y) y) (+.f64 x y)) (*.f64 (+.f64 x y) (/.f64 (-.f64 (neg.f64 x) y) y)))
(/.f64 (fma.f64 x (-.f64 (neg.f64 x) y) (*.f64 (+.f64 x y) y)) (neg.f64 (pow.f64 (+.f64 x y) #s(literal 2 binary64))))
(/.f64 (fma.f64 y (/.f64 (+.f64 x y) x) (-.f64 (neg.f64 x) y)) (*.f64 (-.f64 (neg.f64 x) y) (/.f64 (+.f64 x y) x)))
(/.f64 (fma.f64 (neg.f64 y) (/.f64 (+.f64 x y) x) (+.f64 x y)) (*.f64 (+.f64 x y) (/.f64 (+.f64 x y) x)))
(/.f64 (fma.f64 (neg.f64 y) (+.f64 x y) (*.f64 (+.f64 x y) x)) (pow.f64 (+.f64 x y) #s(literal 2 binary64)))
(/.f64 (fma.f64 (neg.f64 y) (-.f64 (neg.f64 x) y) (*.f64 (+.f64 x y) (neg.f64 x))) (neg.f64 (pow.f64 (+.f64 x y) #s(literal 2 binary64))))
(/.f64 (+.f64 (+.f64 x y) (*.f64 (/.f64 (-.f64 (neg.f64 x) y) y) x)) (*.f64 (/.f64 (-.f64 (neg.f64 x) y) y) (+.f64 x y)))
(/.f64 (fma.f64 #s(literal 1 binary64) (/.f64 (+.f64 x y) x) (*.f64 (/.f64 (-.f64 (neg.f64 x) y) y) #s(literal 1 binary64))) (*.f64 (/.f64 (-.f64 (neg.f64 x) y) y) (/.f64 (+.f64 x y) x)))
(/.f64 (fma.f64 (+.f64 x y) #s(literal -1 binary64) (*.f64 (/.f64 (-.f64 (neg.f64 x) y) y) (neg.f64 x))) (*.f64 (/.f64 (-.f64 (neg.f64 x) y) y) (-.f64 (neg.f64 x) y)))
(/.f64 (fma.f64 y (+.f64 x y) (*.f64 (-.f64 (neg.f64 x) y) x)) (neg.f64 (pow.f64 (+.f64 x y) #s(literal 2 binary64))))
(/.f64 (fma.f64 y (-.f64 (neg.f64 x) y) (*.f64 (-.f64 (neg.f64 x) y) (neg.f64 x))) (pow.f64 (+.f64 x y) #s(literal 2 binary64)))
(/.f64 (fma.f64 (+.f64 x y) #s(literal -1 binary64) (*.f64 (/.f64 (+.f64 x y) y) x)) (*.f64 (/.f64 (+.f64 x y) y) (+.f64 x y)))
(/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 x y) x) (/.f64 (+.f64 x y) y)) (*.f64 (/.f64 (+.f64 x y) y) (/.f64 (+.f64 x y) x)))
(/.f64 (+.f64 (+.f64 x y) (*.f64 (/.f64 (+.f64 x y) y) (neg.f64 x))) (*.f64 (/.f64 (+.f64 x y) y) (-.f64 (neg.f64 x) y)))
(/.f64 (+.f64 (+.f64 x y) (*.f64 (/.f64 (+.f64 x y) x) (neg.f64 y))) (*.f64 (/.f64 (+.f64 x y) x) (+.f64 x y)))
(/.f64 (fma.f64 #s(literal 1 binary64) (/.f64 (-.f64 (neg.f64 x) y) y) (*.f64 (/.f64 (+.f64 x y) x) #s(literal 1 binary64))) (*.f64 (/.f64 (+.f64 x y) x) (/.f64 (-.f64 (neg.f64 x) y) y)))
(/.f64 (fma.f64 (+.f64 x y) #s(literal -1 binary64) (*.f64 (/.f64 (+.f64 x y) x) y)) (*.f64 (/.f64 (+.f64 x y) x) (-.f64 (neg.f64 x) y)))
(/.f64 (+.f64 (/.f64 (+.f64 x y) y) (*.f64 (/.f64 (+.f64 x y) x) #s(literal -1 binary64))) (*.f64 (/.f64 (+.f64 x y) x) (/.f64 (+.f64 x y) y)))
(/.f64 (fma.f64 (neg.f64 x) (/.f64 (+.f64 x y) y) (+.f64 x y)) (*.f64 (neg.f64 (pow.f64 (+.f64 x y) #s(literal 2 binary64))) (pow.f64 y #s(literal -1 binary64))))
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(*.f64 (/.f64 y (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (*.f64 (fma.f64 x (-.f64 x y) (*.f64 y y)) #s(literal 1 binary64)))
(*.f64 (/.f64 y (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (*.f64 (fma.f64 y (-.f64 y x) (*.f64 x x)) #s(literal 1 binary64)))
(*.f64 (/.f64 y (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 x (-.f64 x y) (*.f64 y y)) #s(literal -1 binary64))))
(*.f64 (/.f64 y (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 y (-.f64 y x) (*.f64 x x)) #s(literal -1 binary64))))
(*.f64 (/.f64 y (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 x (-.f64 x y) (*.f64 y y)))
(*.f64 (/.f64 y (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 y (-.f64 y x) (*.f64 x x)))
(*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (neg.f64 y) y (*.f64 x x))) (*.f64 (-.f64 y x) y))
(*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x (neg.f64 x) (*.f64 y y))) (*.f64 (-.f64 x y) y))
(*.f64 (pow.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal -1 binary64)) (*.f64 (fma.f64 x (-.f64 x y) (*.f64 y y)) y))
(*.f64 (pow.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal -1 binary64)) (*.f64 (fma.f64 y (-.f64 y x) (*.f64 x x)) y))
(*.f64 (/.f64 y (-.f64 (neg.f64 x) y)) #s(literal -1 binary64))
(*.f64 (pow.f64 (+.f64 x y) #s(literal -1 binary64)) (pow.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (+.f64 x y) #s(literal -1 binary64)) y)
(*.f64 (neg.f64 y) (*.f64 (/.f64 #s(literal -1 binary64) (+.f64 x y)) #s(literal 1 binary64)))
(*.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) (+.f64 x y)))
(*.f64 #s(literal 1 binary64) (/.f64 y (+.f64 x y)))
(*.f64 (/.f64 y (+.f64 x y)) #s(literal 1 binary64))
(*.f64 y (pow.f64 (+.f64 x y) #s(literal -1 binary64)))
(*.f64 #s(literal -1 binary64) (/.f64 y (-.f64 (neg.f64 x) y)))
(pow.f64 (/.f64 (+.f64 x y) y) #s(literal -1 binary64))
(/.f64 (neg.f64 y) (-.f64 (neg.f64 x) y))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x y) y))
(/.f64 y (+.f64 x y))
(/.f64 #s(literal -1 binary64) (/.f64 (-.f64 (neg.f64 x) y) y))
(neg.f64 (*.f64 (/.f64 y (-.f64 (neg.f64 x) y)) #s(literal 1 binary64)))
(neg.f64 (/.f64 y (-.f64 (neg.f64 x) y)))
(fma.f64 (/.f64 y (*.f64 (+.f64 x y) (-.f64 y x))) y (*.f64 (/.f64 y (*.f64 (+.f64 x y) (-.f64 y x))) (neg.f64 x)))
(fma.f64 (/.f64 y (*.f64 (+.f64 x y) (-.f64 x y))) x (*.f64 (/.f64 y (*.f64 (+.f64 x y) (-.f64 x y))) (neg.f64 y)))
(fma.f64 (/.f64 y (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (*.f64 x (-.f64 x y)) (*.f64 (/.f64 y (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (*.f64 y y)))
(fma.f64 (/.f64 y (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (*.f64 y (-.f64 y x)) (*.f64 (/.f64 y (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (*.f64 x x)))
(fma.f64 (/.f64 y (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (*.f64 y y) (*.f64 (/.f64 y (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (*.f64 x (-.f64 x y))))
(fma.f64 (/.f64 y (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (*.f64 x x) (*.f64 (/.f64 y (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (*.f64 y (-.f64 y x))))
(fma.f64 x (/.f64 y (*.f64 (+.f64 x y) (-.f64 x y))) (*.f64 (neg.f64 y) (/.f64 y (*.f64 (+.f64 x y) (-.f64 x y)))))
(fma.f64 (*.f64 x (-.f64 x y)) (/.f64 y (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (*.f64 (*.f64 y y) (/.f64 y (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))))
(fma.f64 (*.f64 y (-.f64 y x)) (/.f64 y (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (*.f64 (*.f64 x x) (/.f64 y (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))))
(fma.f64 (*.f64 y y) (/.f64 y (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (*.f64 (*.f64 x (-.f64 x y)) (/.f64 y (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))))
(fma.f64 (*.f64 x x) (/.f64 y (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (*.f64 (*.f64 y (-.f64 y x)) (/.f64 y (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))))
(fma.f64 y (/.f64 y (*.f64 (+.f64 x y) (-.f64 y x))) (*.f64 (neg.f64 x) (/.f64 y (*.f64 (+.f64 x y) (-.f64 y x)))))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 (neg.f64 x) y)) (/.f64 y (-.f64 (neg.f64 x) y)))
(-.f64 #s(literal 0 binary64) (/.f64 y (-.f64 (neg.f64 x) y)))
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 x y) y)) #s(literal -1 binary64)))
(+.f64 (*.f64 y (/.f64 y (*.f64 (+.f64 x y) (-.f64 y x)))) (*.f64 (neg.f64 x) (/.f64 y (*.f64 (+.f64 x y) (-.f64 y x)))))
(+.f64 (*.f64 x (/.f64 y (*.f64 (+.f64 x y) (-.f64 x y)))) (*.f64 (neg.f64 y) (/.f64 y (*.f64 (+.f64 x y) (-.f64 x y)))))
(+.f64 (*.f64 (*.f64 x (-.f64 x y)) (/.f64 y (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (*.f64 (*.f64 y y) (/.f64 y (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))))
(+.f64 (*.f64 (*.f64 y y) (/.f64 y (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (*.f64 (*.f64 x (-.f64 x y)) (/.f64 y (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))))
(+.f64 (*.f64 (*.f64 y (-.f64 y x)) (/.f64 y (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (*.f64 (*.f64 x x) (/.f64 y (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))))
(+.f64 (*.f64 (*.f64 x x) (/.f64 y (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (*.f64 (*.f64 y (-.f64 y x)) (/.f64 y (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))))
(+.f64 (*.f64 (/.f64 y (*.f64 (+.f64 x y) (-.f64 y x))) y) (*.f64 (/.f64 y (*.f64 (+.f64 x y) (-.f64 y x))) (neg.f64 x)))
(+.f64 (*.f64 (/.f64 y (*.f64 (+.f64 x y) (-.f64 x y))) x) (*.f64 (/.f64 y (*.f64 (+.f64 x y) (-.f64 x y))) (neg.f64 y)))
(+.f64 (*.f64 (/.f64 y (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (*.f64 x (-.f64 x y))) (*.f64 (/.f64 y (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (*.f64 y y)))
(+.f64 (*.f64 (/.f64 y (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (*.f64 y y)) (*.f64 (/.f64 y (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (*.f64 x (-.f64 x y))))
(+.f64 (*.f64 (/.f64 y (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (*.f64 y (-.f64 y x))) (*.f64 (/.f64 y (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (*.f64 x x)))
(+.f64 (*.f64 (/.f64 y (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (*.f64 x x)) (*.f64 (/.f64 y (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (*.f64 y (-.f64 y x))))

eval63.0ms (1%)

Memory
5.0MiB live, 116.5MiB allocated
Compiler

Compiled 13 138 to 1 571 computations (88% saved)

prune20.0ms (0.3%)

Memory
-21.6MiB live, 36.5MiB allocated
Pruning

10 alts after pruning (0 fresh and 10 done)

PrunedKeptTotal
New5020502
Fresh000
Picked011
Done099
Total50210512
Accuracy
100.0%
Counts
512 → 10
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.9%
(/.f64 (-.f64 x y) (+.f64 x y))
51.2%
(/.f64 #s(approx (- x y) (neg.f64 y)) (+.f64 x y))
100.0%
(-.f64 (/.f64 x (+.f64 y x)) (/.f64 y (+.f64 y x)))
99.9%
(-.f64 (*.f64 (/.f64 #s(literal -1 binary64) (+.f64 x y)) (neg.f64 x)) (/.f64 y (+.f64 y x)))
99.7%
(*.f64 (/.f64 #s(literal -1 binary64) (+.f64 y x)) (-.f64 y x))
50.5%
#s(approx (/ (- x y) (+ x y)) (fma.f64 (/.f64 y x) #s(literal -2 binary64) #s(literal 1 binary64)))
51.9%
#s(approx (/ (- x y) (+ x y)) (fma.f64 (/.f64 x y) #s(literal 2 binary64) #s(literal -1 binary64)))
42.5%
#s(approx (/ (- x y) (+ x y)) (-.f64 #s(literal -1 binary64) #s(approx (/ (* x (+ (* (/ 2 y) x) -2)) y) (/.f64 (*.f64 (*.f64 #s(literal -2 binary64) x) (-.f64 y x)) (*.f64 y y)))))
49.1%
#s(approx (/ (- x y) (+ x y)) #s(literal 1 binary64))
50.1%
#s(approx (/ (- x y) (+ x y)) #s(literal -1 binary64))
Compiler

Compiled 328 to 154 computations (53% saved)

regimes16.0ms (0.3%)

Memory
-18.1MiB live, 21.2MiB allocated
Counts
14 → 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)) (fma.f64 (/.f64 #s(literal 2 binary64) y) x #s(literal -1 binary64)))
#s(approx (/ (- x y) (+ x y)) (fma.f64 (/.f64 x y) #s(literal 2 binary64) #s(literal -1 binary64)))
#s(approx (/ (- x y) (+ x y)) (fma.f64 (/.f64 y x) #s(literal -2 binary64) #s(literal 1 binary64)))
(/.f64 (-.f64 x y) (+.f64 x y))
(*.f64 (/.f64 #s(literal -1 binary64) (+.f64 y x)) (-.f64 y x))
(-.f64 (/.f64 x (+.f64 y x)) (/.f64 y (+.f64 y x)))
#s(approx (/ (- x y) (+ x y)) (-.f64 #s(literal -1 binary64) #s(approx (/ (* x (+ (* (/ 2 y) x) -2)) y) (/.f64 (*.f64 (*.f64 #s(literal -2 binary64) x) (-.f64 y x)) (*.f64 y y)))))
#s(approx (/ (- x y) (+ x y)) (-.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (fma.f64 (/.f64 #s(literal 2 binary64) y) x #s(literal -2 binary64))) y)))
(-.f64 (*.f64 (/.f64 #s(literal -1 binary64) (+.f64 x y)) (neg.f64 x)) (/.f64 y (+.f64 y x)))
(-.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 y x) x)) (/.f64 y (+.f64 y x)))
(/.f64 (-.f64 (+.f64 y x) (*.f64 (/.f64 (+.f64 y x) x) y)) (*.f64 (/.f64 (+.f64 y x) x) (+.f64 y x)))
Outputs
(-.f64 (/.f64 x (+.f64 y x)) (/.f64 y (+.f64 y x)))
Calls

3 calls:

7.0ms
x
4.0ms
y
3.0ms
(/.f64 (-.f64 x y) (+.f64 x y))
Results
AccuracySegmentsBranch
100.0%1x
100.0%1y
100.0%1(/.f64 (-.f64 x y) (+.f64 x y))
Compiler

Compiled 9 to 9 computations (0% saved)

regimes8.0ms (0.1%)

Memory
15.9MiB live, 15.9MiB allocated
Counts
8 → 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)) (fma.f64 (/.f64 #s(literal 2 binary64) y) x #s(literal -1 binary64)))
#s(approx (/ (- x y) (+ x y)) (fma.f64 (/.f64 x y) #s(literal 2 binary64) #s(literal -1 binary64)))
#s(approx (/ (- x y) (+ x y)) (fma.f64 (/.f64 y x) #s(literal -2 binary64) #s(literal 1 binary64)))
(/.f64 (-.f64 x y) (+.f64 x y))
(*.f64 (/.f64 #s(literal -1 binary64) (+.f64 y x)) (-.f64 y x))
Outputs
(/.f64 (-.f64 x y) (+.f64 x y))
Calls

3 calls:

3.0ms
y
3.0ms
x
2.0ms
(/.f64 (-.f64 x y) (+.f64 x y))
Results
AccuracySegmentsBranch
99.9%1x
99.9%1y
99.9%1(/.f64 (-.f64 x y) (+.f64 x y))
Compiler

Compiled 9 to 9 computations (0% saved)

regimes7.0ms (0.1%)

Memory
12.9MiB live, 12.9MiB allocated
Counts
6 → 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)) (fma.f64 (/.f64 #s(literal 2 binary64) y) x #s(literal -1 binary64)))
#s(approx (/ (- x y) (+ x y)) (fma.f64 (/.f64 x y) #s(literal 2 binary64) #s(literal -1 binary64)))
#s(approx (/ (- x y) (+ x y)) (fma.f64 (/.f64 y x) #s(literal -2 binary64) #s(literal 1 binary64)))
Outputs
#s(approx (/ (- x y) (+ x y)) (fma.f64 (/.f64 #s(literal 2 binary64) y) x #s(literal -1 binary64)))
#s(approx (/ (- x y) (+ x y)) (fma.f64 (/.f64 y x) #s(literal -2 binary64) #s(literal 1 binary64)))
Calls

3 calls:

2.0ms
y
2.0ms
x
2.0ms
(/.f64 (-.f64 x y) (+.f64 x y))
Results
AccuracySegmentsBranch
78.9%3x
77.2%3y
99.2%2(/.f64 (-.f64 x y) (+.f64 x y))
Compiler

Compiled 9 to 9 computations (0% saved)

regimes2.0ms (0%)

Memory
3.7MiB live, 3.7MiB allocated
Counts
5 → 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)) (fma.f64 (/.f64 #s(literal 2 binary64) y) x #s(literal -1 binary64)))
#s(approx (/ (- x y) (+ x y)) (fma.f64 (/.f64 x y) #s(literal 2 binary64) #s(literal -1 binary64)))
Outputs
#s(approx (/ (- x y) (+ x y)) (fma.f64 (/.f64 #s(literal 2 binary64) y) x #s(literal -1 binary64)))
#s(approx (/ (- x y) (+ x y)) #s(literal 1 binary64))
Calls

1 calls:

2.0ms
(/.f64 (-.f64 x y) (+.f64 x y))
Results
AccuracySegmentsBranch
98.5%2(/.f64 (-.f64 x y) (+.f64 x y))
Compiler

Compiled 7 to 5 computations (28.6% saved)

regimes2.0ms (0%)

Memory
3.0MiB live, 3.0MiB 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
97.7%2(/.f64 (-.f64 x y) (+.f64 x y))
Compiler

Compiled 7 to 5 computations (28.6% saved)

regimes15.0ms (0.2%)

Memory
-36.5MiB live, 2.7MiB 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:

15.0ms
(/.f64 (-.f64 x y) (+.f64 x y))
Results
AccuracySegmentsBranch
97.7%2(/.f64 (-.f64 x y) (+.f64 x y))
Compiler

Compiled 7 to 5 computations (28.6% saved)

regimes3.0ms (0.1%)

Memory
7.5MiB live, 7.5MiB 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:

1.0ms
x
1.0ms
y
1.0ms
(/.f64 (-.f64 x y) (+.f64 x y))
Results
AccuracySegmentsBranch
50.1%1y
50.1%1x
50.1%1(/.f64 (-.f64 x y) (+.f64 x y))
Compiler

Compiled 9 to 9 computations (0% saved)

bsearch0.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-0.9999934859689874
0.9684806253341975
Compiler

Compiled 10 to 10 computations (0% saved)

bsearch0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-0.9999934859689874
0.9684806253341975
Compiler

Compiled 10 to 10 computations (0% saved)

bsearch0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-0.9999934859689874
0.9684806253341975
Compiler

Compiled 10 to 10 computations (0% saved)

bsearch14.0ms (0.2%)

Memory
17.8MiB live, 17.9MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
12.0ms
-0.9999934859689874
0.9684806253341975
Samples
4.0ms240×0valid
Compiler

Compiled 280 to 250 computations (10.7% saved)

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

simplify63.0ms (1%)

Memory
-2.5MiB live, 36.4MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
035155
148155
260155
380155
4117155
5174155
6299155
7786155
82443155
97279155
Stop Event
node limit
Calls
Call 1
Inputs
(-.f64 (/.f64 x (+.f64 y x)) (/.f64 y (+.f64 y x)))
(/.f64 (-.f64 x y) (+.f64 x y))
(if (<=.f64 (/.f64 (-.f64 x y) (+.f64 x y)) #s(literal -1/2 binary64)) #s(approx (/ (- x y) (+ x y)) (fma.f64 (/.f64 #s(literal 2 binary64) y) x #s(literal -1 binary64))) #s(approx (/ (- x y) (+ x y)) (fma.f64 (/.f64 y x) #s(literal -2 binary64) #s(literal 1 binary64))))
(if (<=.f64 (/.f64 (-.f64 x y) (+.f64 x y)) #s(literal -1/2 binary64)) #s(approx (/ (- x y) (+ x y)) (fma.f64 (/.f64 #s(literal 2 binary64) y) x #s(literal -1 binary64))) #s(approx (/ (- x y) (+ x y)) #s(literal 1 binary64)))
(if (<=.f64 (/.f64 (-.f64 x y) (+.f64 x y)) #s(literal -1/2 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 -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 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 (+.f64 y x)) (/.f64 y (+.f64 y x)))
(/.f64 (-.f64 x y) (+.f64 x y))
(if (<=.f64 (/.f64 (-.f64 x y) (+.f64 x y)) #s(literal -1/2 binary64)) #s(approx (/ (- x y) (+ x y)) (fma.f64 (/.f64 #s(literal 2 binary64) y) x #s(literal -1 binary64))) #s(approx (/ (- x y) (+ x y)) (fma.f64 (/.f64 y x) #s(literal -2 binary64) #s(literal 1 binary64))))
(if (<=.f64 (/.f64 (-.f64 x y) (+.f64 x y)) #s(literal -1/2 binary64)) #s(approx (/ (- x y) (+ x y)) (fma.f64 (/.f64 #s(literal 2 binary64) y) x #s(literal -1 binary64))) #s(approx (/ (- x y) (+ x y)) #s(literal 1 binary64)))
(if (<=.f64 (/.f64 (-.f64 x y) (+.f64 x y)) #s(literal -1/2 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 -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 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))

soundness598.0ms (9.7%)

Memory
-2.1MiB live, 305.4MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0142362
1439335
21238290
34833278
08359255
0513
0813
13913
230913
3519413
0871513
Stop Event
done
iter limit
node limit
iter limit
iter limit
node limit
Compiler

Compiled 213 to 84 computations (60.6% saved)

preprocess57.0ms (0.9%)

Memory
5.1MiB live, 91.4MiB allocated
Compiler

Compiled 346 to 92 computations (73.4% saved)

end0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated

Profiling

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