Linear.Projection:perspective from linear-1.19.1.3, A

Time bar (total: 4.2s)

start0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated; 0ms collecting garbage

analyze11.0ms (0.3%)

Memory
21.0MiB live, 21.0MiB allocated; 0ms collecting garbage
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
0%0%99.9%0.1%0%0%0%1
0%0%99.9%0.1%0%0%0%2
50%50%50%0.1%0%0%0%3
50%50%50%0.1%0%0%0%4
75%74.9%25%0.1%0%0%0%5
75%74.9%25%0.1%0%0%0%6
87.5%87.4%12.5%0.1%0%0%0%7
87.5%87.4%12.5%0.1%0%0%0%8
93.8%93.7%6.2%0.1%0%0%0%9
93.8%93.7%6.2%0.1%0%0%0%10
96.9%96.8%3.1%0.1%0%0%0%11
96.9%96.8%3.1%0.1%0%0%0%12
Compiler

Compiled 9 to 7 computations (22.2% saved)

sample1.1s (25.3%)

Memory
-18.3MiB live, 1 144.4MiB allocated; 198ms collecting garbage
Samples
734.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 341.0ms
ival-div: 160.0ms (46.9% of total)
ival-add: 118.0ms (34.6% of total)
ival-sub: 53.0ms (15.5% of total)
ival-true: 6.0ms (1.8% of total)
ival-assert: 3.0ms (0.9% of total)
adjust: 2.0ms (0.6% of total)
Bogosity

explain117.0ms (2.8%)

Memory
-9.7MiB live, 122.3MiB allocated; 23ms collecting garbage
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-y
00-0-(+.f64 x y)
00-0-(-.f64 x y)
00-0-(/.f64 (+.f64 x y) (-.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
22.0ms512×0valid
Compiler

Compiled 41 to 19 computations (53.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 10.0ms
ival-sub: 3.0ms (30.5% of total)
ival-div: 3.0ms (30.5% of total)
ival-add: 3.0ms (30.5% of total)
ival-true: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess16.0ms (0.4%)

Memory
42.1MiB live, 42.1MiB allocated; 0ms collecting garbage
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01545
13545
26243
38043
410643
513643
614543
715443
057
087
1127
2137
0137
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 y x) (-.f64 x y))
Compiler

Compiled 7 to 5 computations (28.6% saved)

eval0.0ms (0%)

Memory
0.2MiB live, 0.2MiB allocated; 0ms collecting garbage
Compiler

Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory
1.3MiB live, 1.3MiB allocated; 0ms collecting garbage
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(/.f64 (+.f64 x y) (-.f64 x y))
Compiler

Compiled 7 to 5 computations (28.6% saved)

simplify28.0ms (0.7%)

Memory
-40.4MiB live, 10.9MiB allocated; 15ms collecting garbage
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
11215
21315
01315
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 y x) (-.f64 x y))
(+.f64 x y)
(+.f64 y x)
x
y
(-.f64 x y)

localize43.0ms (1%)

Memory
0.4MiB live, 43.7MiB allocated; 11ms collecting garbage
Localize:

Found 3 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(-.f64 x y)
accuracy0.0
(+.f64 x y)
accuracy0.021816259768442016
(/.f64 (+.f64 x y) (-.f64 x y))
Samples
11.0ms256×0valid
Compiler

Compiled 17 to 7 computations (58.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 5.0ms
ival-div: 2.0ms (42.2% of total)
ival-add: 2.0ms (42.2% of total)
ival-sub: 1.0ms (21.1% of total)
ival-true: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series4.0ms (0.1%)

Memory
7.6MiB live, 7.6MiB allocated; 0ms collecting garbage
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)
y
(+ x y)
(* -1 y)
(- x y)
1
(- (+ 1 (/ y x)) (* -1 (/ y x)))
(- (+ 1 (+ (/ y x) (/ (* y (- y (* -1 y))) (pow x 2)))) (* -1 (/ y x)))
(- (+ 1 (+ (/ y x) (/ (* (pow y 2) (- y (* -1 y))) (pow x 3)))) (+ (* -1 (/ y x)) (* -1 (/ (* y (- y (* -1 y))) (pow x 2)))))
x
(* x (+ 1 (/ y x)))
(* x (+ 1 (* -1 (/ y x))))
(+ 1 (* -1 (/ (+ (* -1 (- y (* -1 y))) (* -1 (/ (* y (- y (* -1 y))) x))) x)))
(+ 1 (* -1 (/ (+ (* -1 (- y (* -1 y))) (* -1 (/ (+ (* y (- y (* -1 y))) (/ (* (pow y 2) (- y (* -1 y))) x)) x))) x)))
(* -1 (* x (- (* -1 (/ y x)) 1)))
(* -1 (* x (- (/ 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))
(- (* -1 (/ x y)) (+ 1 (/ x y)))
(- (+ (* -1 (/ x y)) (/ (* x (- (* -1 x) x)) (pow y 2))) (+ 1 (/ x y)))
(- (+ (* -1 (/ x y)) (/ (* (pow x 2) (- (* -1 x) x)) (pow y 3))) (+ 1 (+ (* -1 (/ (* x (- (* -1 x) x)) (pow y 2))) (/ x y))))
(* y (+ 1 (/ x y)))
(* y (- (/ x y) 1))
(- (* -1 (/ (- x (* -1 x)) y)) 1)
(- (* -1 (/ (- (+ x (/ (* x (- x (* -1 x))) y)) (* -1 x)) y)) 1)
(- (* -1 (/ (- (+ x (* -1 (/ (- (* -1 (/ (* (pow x 2) (- x (* -1 x))) y)) (* x (- x (* -1 x)))) y))) (* -1 x)) y)) 1)
(* -1 (* y (- (* -1 (/ x y)) 1)))
(* -1 (* y (+ 1 (* -1 (/ x y)))))
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))

simplify215.0ms (5.1%)

Memory
28.9MiB live, 306.5MiB allocated; 49ms collecting garbage
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0140402
1440364
21524315
36695315
08125287
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)
y
(+ x y)
(* -1 y)
(- x y)
1
(- (+ 1 (/ y x)) (* -1 (/ y x)))
(- (+ 1 (+ (/ y x) (/ (* y (- y (* -1 y))) (pow x 2)))) (* -1 (/ y x)))
(- (+ 1 (+ (/ y x) (/ (* (pow y 2) (- y (* -1 y))) (pow x 3)))) (+ (* -1 (/ y x)) (* -1 (/ (* y (- y (* -1 y))) (pow x 2)))))
x
(* x (+ 1 (/ y x)))
(* x (+ 1 (* -1 (/ y x))))
(+ 1 (* -1 (/ (+ (* -1 (- y (* -1 y))) (* -1 (/ (* y (- y (* -1 y))) x))) x)))
(+ 1 (* -1 (/ (+ (* -1 (- y (* -1 y))) (* -1 (/ (+ (* y (- y (* -1 y))) (/ (* (pow y 2) (- y (* -1 y))) x)) x))) x)))
(* -1 (* x (- (* -1 (/ y x)) 1)))
(* -1 (* x (- (/ 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))
(- (* -1 (/ x y)) (+ 1 (/ x y)))
(- (+ (* -1 (/ x y)) (/ (* x (- (* -1 x) x)) (pow y 2))) (+ 1 (/ x y)))
(- (+ (* -1 (/ x y)) (/ (* (pow x 2) (- (* -1 x) x)) (pow y 3))) (+ 1 (+ (* -1 (/ (* x (- (* -1 x) x)) (pow y 2))) (/ x y))))
(* y (+ 1 (/ x y)))
(* y (- (/ x y) 1))
(- (* -1 (/ (- x (* -1 x)) y)) 1)
(- (* -1 (/ (- (+ x (/ (* x (- x (* -1 x))) y)) (* -1 x)) y)) 1)
(- (* -1 (/ (- (+ x (* -1 (/ (- (* -1 (/ (* (pow x 2) (- x (* -1 x))) y)) (* x (- x (* -1 x)))) y))) (* -1 x)) y)) 1)
(* -1 (* y (- (* -1 (/ x y)) 1)))
(* -1 (* y (+ 1 (* -1 (/ x y)))))
Outputs
-1
#s(literal -1 binary64)
(- (* -2 (/ x y)) 1)
(-.f64 (*.f64 (/.f64 #s(literal -2 binary64) y) x) #s(literal 1 binary64))
(- (* x (- (* -2 (/ x (pow y 2))) (* 2 (/ 1 y)))) 1)
(-.f64 (*.f64 (/.f64 (fma.f64 (/.f64 #s(literal -2 binary64) y) x #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)
(-.f64 (*.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal -2 binary64)) (*.f64 y y)) x (/.f64 #s(literal -2 binary64) y)) x) #s(literal 1 binary64))
y
(+ x y)
(+.f64 y x)
(* -1 y)
(neg.f64 y)
(- x y)
(-.f64 x y)
1
#s(literal 1 binary64)
(- (+ 1 (/ y x)) (* -1 (/ y x)))
(fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 1 binary64))
(- (+ 1 (+ (/ y x) (/ (* y (- y (* -1 y))) (pow x 2)))) (* -1 (/ y x)))
(fma.f64 (/.f64 (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64)) x) y #s(literal 1 binary64))
(- (+ 1 (+ (/ y x) (/ (* (pow y 2) (- y (* -1 y))) (pow x 3)))) (+ (* -1 (/ y x)) (* -1 (/ (* y (- y (* -1 y))) (pow x 2)))))
(fma.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64)) (*.f64 x x)) y (/.f64 #s(literal 2 binary64) x)) y #s(literal 1 binary64))
x
(* x (+ 1 (/ y x)))
(fma.f64 (/.f64 y x) x x)
(* x (+ 1 (* -1 (/ y x))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x)
(+ 1 (* -1 (/ (+ (* -1 (- y (* -1 y))) (* -1 (/ (* y (- y (* -1 y))) x))) x)))
(fma.f64 (/.f64 (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64)) x) y #s(literal 1 binary64))
(+ 1 (* -1 (/ (+ (* -1 (- y (* -1 y))) (* -1 (/ (+ (* y (- y (* -1 y))) (/ (* (pow y 2) (- y (* -1 y))) x)) x))) x)))
(fma.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64)) (*.f64 x x)) y (/.f64 #s(literal 2 binary64) x)) y #s(literal 1 binary64))
(* -1 (* x (- (* -1 (/ y x)) 1)))
(*.f64 (neg.f64 x) (-.f64 (/.f64 (neg.f64 y) x) #s(literal 1 binary64)))
(* -1 (* x (- (/ y x) 1)))
(*.f64 (neg.f64 x) (-.f64 (/.f64 y x) #s(literal 1 binary64)))
(+ 1 (* 2 (/ y x)))
(fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 1 binary64))
(+ 1 (* y (+ (* 2 (/ y (pow x 2))) (* 2 (/ 1 x)))))
(fma.f64 (/.f64 (fma.f64 (/.f64 #s(literal 2 binary64) x) y #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 (fma.f64 (/.f64 (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64)) (*.f64 x x)) y (/.f64 #s(literal 2 binary64) x)) y #s(literal 1 binary64))
(+ x (* -1 y))
(-.f64 x y)
(- (* -1 (/ x y)) (+ 1 (/ x y)))
(-.f64 (*.f64 (/.f64 #s(literal -2 binary64) y) x) #s(literal 1 binary64))
(- (+ (* -1 (/ x y)) (/ (* x (- (* -1 x) x)) (pow y 2))) (+ 1 (/ x y)))
(-.f64 (*.f64 (/.f64 (fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal -2 binary64)) y) x) #s(literal 1 binary64))
(- (+ (* -1 (/ x y)) (/ (* (pow x 2) (- (* -1 x) x)) (pow y 3))) (+ 1 (+ (* -1 (/ (* x (- (* -1 x) x)) (pow y 2))) (/ x y))))
(-.f64 (*.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal -2 binary64)) (*.f64 y y)) x (/.f64 #s(literal -2 binary64) y)) x) #s(literal 1 binary64))
(* y (+ 1 (/ x y)))
(fma.f64 (/.f64 x y) y y)
(* y (- (/ x y) 1))
(*.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) y)
(- (* -1 (/ (- x (* -1 x)) y)) 1)
(-.f64 (*.f64 (/.f64 #s(literal -2 binary64) y) x) #s(literal 1 binary64))
(- (* -1 (/ (- (+ x (/ (* x (- x (* -1 x))) y)) (* -1 x)) y)) 1)
(-.f64 (*.f64 (/.f64 (fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal -2 binary64)) y) x) #s(literal 1 binary64))
(- (* -1 (/ (- (+ x (* -1 (/ (- (* -1 (/ (* (pow x 2) (- x (* -1 x))) y)) (* x (- x (* -1 x)))) y))) (* -1 x)) y)) 1)
(-.f64 (*.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal -2 binary64)) (*.f64 y y)) x (/.f64 #s(literal -2 binary64) y)) x) #s(literal 1 binary64))
(* -1 (* y (- (* -1 (/ x y)) 1)))
(*.f64 (-.f64 (/.f64 x (neg.f64 y)) #s(literal 1 binary64)) (neg.f64 y))
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(fma.f64 (/.f64 x y) y (neg.f64 y))

rewrite236.0ms (5.6%)

Memory
-5.6MiB live, 238.5MiB allocated; 70ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0513
0813
13213
222613
0298313
Stop Event
iter limit
iter limit
node limit
iter limit
Counts
3 → 330
Calls
Call 1
Inputs
(/.f64 (+.f64 x y) (-.f64 x y))
(+.f64 x y)
(-.f64 x y)
Outputs
(*.f64 (/.f64 (neg.f64 (+.f64 y x)) (*.f64 (-.f64 x y) (+.f64 y x))) (neg.f64 (+.f64 y x)))
(*.f64 (/.f64 (neg.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 (+.f64 y 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))))
(*.f64 (/.f64 (+.f64 y x) (*.f64 (neg.f64 (+.f64 y x)) (-.f64 x y))) (neg.f64 (+.f64 y x)))
(*.f64 (*.f64 (/.f64 (+.f64 y x) (*.f64 (-.f64 x y) (+.f64 y x))) #s(literal 1 binary64)) (+.f64 y x))
(*.f64 (*.f64 (/.f64 (+.f64 y x) (*.f64 (-.f64 x y) (+.f64 y x))) (*.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 (/.f64 (fma.f64 (-.f64 x y) x (*.f64 y y)) (fma.f64 (-.f64 x y) x (*.f64 y y))) (/.f64 (+.f64 y x) (-.f64 x y)))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 y x) (/.f64 (-.f64 x y) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))))) (/.f64 (+.f64 y x) (fma.f64 (-.f64 x y) x (*.f64 y y))))
(*.f64 (/.f64 (*.f64 (/.f64 (+.f64 y x) (fma.f64 (+.f64 y x) y (*.f64 x x))) #s(literal 1 binary64)) (*.f64 (+.f64 y x) (/.f64 (-.f64 x y) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))))) (/.f64 (fma.f64 (+.f64 y x) y (*.f64 x x)) (fma.f64 (-.f64 x y) x (*.f64 y y))))
(*.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 x y)))
(*.f64 (/.f64 (+.f64 y x) (*.f64 (-.f64 x y) (+.f64 y x))) (+.f64 y x))
(*.f64 (/.f64 (+.f64 y 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)))
(*.f64 #s(literal 1 binary64) (/.f64 (+.f64 y x) (-.f64 x y)))
(*.f64 (*.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)) (-.f64 x y)))
(*.f64 (/.f64 (+.f64 y x) (-.f64 x y)) #s(literal 1 binary64))
(*.f64 (fma.f64 (+.f64 y x) y (*.f64 x x)) (/.f64 (+.f64 y x) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))))
(*.f64 (fma.f64 (-.f64 x y) x (*.f64 y y)) (/.f64 (+.f64 y x) (*.f64 (fma.f64 (-.f64 x y) x (*.f64 y y)) (-.f64 x y))))
(*.f64 (+.f64 y x) (/.f64 (-.f64 x y) (pow.f64 (-.f64 x y) #s(literal 2 binary64))))
(*.f64 (+.f64 y x) (/.f64 (+.f64 y x) (*.f64 (-.f64 x y) (+.f64 y x))))
(/.f64 (/.f64 (fma.f64 (-.f64 x y) y (*.f64 (-.f64 x y) x)) (-.f64 x y)) (-.f64 x y))
(/.f64 (*.f64 (/.f64 (+.f64 y x) (*.f64 (-.f64 x y) (+.f64 y x))) (*.f64 (+.f64 y x) (-.f64 y x))) (-.f64 y x))
(/.f64 (*.f64 (/.f64 (+.f64 y x) (*.f64 (-.f64 x y) (+.f64 y x))) (*.f64 (neg.f64 (+.f64 y x)) (-.f64 x y))) (neg.f64 (-.f64 x y)))
(/.f64 (*.f64 (/.f64 (+.f64 y x) (*.f64 (-.f64 x y) (+.f64 y x))) (neg.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (neg.f64 (fma.f64 (-.f64 x y) x (*.f64 y y))))
(/.f64 (*.f64 (/.f64 (+.f64 y x) (*.f64 (-.f64 x y) (+.f64 y x))) (*.f64 (-.f64 x y) (+.f64 y x))) (-.f64 x y))
(/.f64 (*.f64 (/.f64 (+.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)))) (fma.f64 (-.f64 x y) x (*.f64 y y)))
(/.f64 (*.f64 (/.f64 (+.f64 y x) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 (+.f64 y x) y) #s(literal 2 binary64)))) (-.f64 (*.f64 (-.f64 x y) x) (*.f64 y y)))
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(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) (*.f64 (fma.f64 y y (*.f64 x x)) (+.f64 y x)))
(/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) (*.f64 (fma.f64 (*.f64 y y) (fma.f64 y y (*.f64 x x)) (pow.f64 x #s(literal 4 binary64))) (+.f64 y x)))
(/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) (*.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (+.f64 y x) y (*.f64 x x))))
(/.f64 (-.f64 (pow.f64 x #s(literal 9 binary64)) (pow.f64 y #s(literal 9 binary64))) (*.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64)))) (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 (neg.f64 (+.f64 y x)) (-.f64 x y)) (neg.f64 (+.f64 y x)))
(/.f64 (*.f64 (-.f64 x y) (+.f64 y x)) (+.f64 y 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)))
(neg.f64 (neg.f64 (-.f64 x y)))
(fma.f64 (/.f64 (*.f64 x x) (*.f64 (+.f64 y x) (-.f64 y x))) (-.f64 y x) (/.f64 (*.f64 (neg.f64 y) y) (+.f64 y x)))
(fma.f64 (/.f64 (*.f64 x x) (*.f64 (neg.f64 (+.f64 y x)) (-.f64 x y))) (neg.f64 (-.f64 x y)) (/.f64 (*.f64 (neg.f64 y) y) (+.f64 y x)))
(fma.f64 (/.f64 (*.f64 x x) (neg.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (neg.f64 (fma.f64 (-.f64 x y) x (*.f64 y y))) (/.f64 (*.f64 (neg.f64 y) y) (+.f64 y x)))
(fma.f64 (/.f64 (neg.f64 x) #s(literal 1 binary64)) (/.f64 (neg.f64 x) (+.f64 y x)) (/.f64 (*.f64 (neg.f64 y) y) (+.f64 y x)))
(fma.f64 (/.f64 (neg.f64 x) (*.f64 (/.f64 (+.f64 y x) (fma.f64 (+.f64 y x) y (*.f64 x x))) #s(literal 1 binary64))) (/.f64 (neg.f64 x) (fma.f64 (+.f64 y x) y (*.f64 x x))) (/.f64 (*.f64 (neg.f64 y) y) (+.f64 y x)))
(fma.f64 (/.f64 (fabs.f64 x) #s(literal 1 binary64)) (/.f64 (fabs.f64 x) (+.f64 y x)) (/.f64 (*.f64 (neg.f64 y) y) (+.f64 y x)))
(fma.f64 (/.f64 (fabs.f64 x) (*.f64 (/.f64 (+.f64 y x) (fma.f64 (+.f64 y x) y (*.f64 x x))) #s(literal 1 binary64))) (/.f64 (fabs.f64 x) (fma.f64 (+.f64 y x) y (*.f64 x x))) (/.f64 (*.f64 (neg.f64 y) y) (+.f64 y x)))
(fma.f64 (/.f64 x #s(literal 1 binary64)) (/.f64 x (+.f64 y x)) (/.f64 (*.f64 (neg.f64 y) y) (+.f64 y x)))
(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))) (/.f64 (*.f64 (neg.f64 y) y) (+.f64 y x)))
(fma.f64 (/.f64 (*.f64 x x) (*.f64 (-.f64 x y) (+.f64 y x))) (-.f64 x y) (/.f64 (*.f64 (neg.f64 y) y) (+.f64 y x)))
(fma.f64 (/.f64 (*.f64 x x) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 (-.f64 x y) x (*.f64 y y)) (/.f64 (*.f64 (neg.f64 y) y) (+.f64 y x)))
(fma.f64 (*.f64 (+.f64 y x) (/.f64 (-.f64 x y) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (*.f64 (-.f64 y x) y) (*.f64 (*.f64 (+.f64 y x) (/.f64 (-.f64 x y) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (*.f64 x x)))
(fma.f64 (*.f64 (+.f64 y x) (/.f64 (-.f64 x y) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (*.f64 x x) (*.f64 (*.f64 (+.f64 y x) (/.f64 (-.f64 x y) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (*.f64 (-.f64 y x) y)))
(fma.f64 (neg.f64 x) (/.f64 (neg.f64 x) (+.f64 y x)) (/.f64 (*.f64 (neg.f64 y) y) (+.f64 y x)))
(fma.f64 (fabs.f64 x) (/.f64 (fabs.f64 x) (+.f64 y x)) (/.f64 (*.f64 (neg.f64 y) y) (+.f64 y x)))
(fma.f64 (*.f64 (-.f64 y x) y) (*.f64 (+.f64 y x) (/.f64 (-.f64 x y) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (*.f64 (*.f64 x x) (*.f64 (+.f64 y x) (/.f64 (-.f64 x y) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))))))
(fma.f64 (*.f64 x x) (*.f64 (+.f64 y x) (/.f64 (-.f64 x y) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (*.f64 (*.f64 (-.f64 y x) y) (*.f64 (+.f64 y x) (/.f64 (-.f64 x y) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))))))
(fma.f64 x (/.f64 x (+.f64 y x)) (/.f64 (*.f64 (neg.f64 y) y) (+.f64 y x)))
(-.f64 (*.f64 x (/.f64 x (+.f64 y x))) (*.f64 y (/.f64 y (+.f64 y x))))
(-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 y x) y (*.f64 x x))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (+.f64 y x) y (*.f64 x x))))
(-.f64 x y)
(+.f64 (*.f64 (*.f64 (-.f64 y x) y) (*.f64 (+.f64 y x) (/.f64 (-.f64 x y) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))))) (*.f64 (*.f64 x x) (*.f64 (+.f64 y x) (/.f64 (-.f64 x y) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))))))
(+.f64 (*.f64 (*.f64 x x) (*.f64 (+.f64 y x) (/.f64 (-.f64 x y) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))))) (*.f64 (*.f64 (-.f64 y x) y) (*.f64 (+.f64 y x) (/.f64 (-.f64 x y) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))))))
(+.f64 (*.f64 (*.f64 (+.f64 y x) (/.f64 (-.f64 x y) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (*.f64 (-.f64 y x) y)) (*.f64 (*.f64 (+.f64 y x) (/.f64 (-.f64 x y) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (*.f64 x x)))
(+.f64 (*.f64 (*.f64 (+.f64 y x) (/.f64 (-.f64 x y) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (*.f64 x x)) (*.f64 (*.f64 (+.f64 y x) (/.f64 (-.f64 x y) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (*.f64 (-.f64 y x) y)))
(+.f64 (*.f64 x (/.f64 x (+.f64 y x))) (/.f64 (*.f64 (neg.f64 y) y) (+.f64 y x)))

eval42.0ms (1%)

Memory
18.1MiB live, 64.6MiB allocated; 7ms collecting garbage
Compiler

Compiled 9 716 to 996 computations (89.7% saved)

prune34.0ms (0.8%)

Memory
-23.3MiB live, 21.4MiB allocated; 5ms collecting garbage
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New3436349
Fresh000
Picked011
Done000
Total3437350
Accuracy
100.0%
Counts
350 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
29.2%
(/.f64 (/.f64 (*.f64 (*.f64 (-.f64 x y) (+.f64 y x)) (+.f64 y x)) (*.f64 (-.f64 x y) (+.f64 y x))) (-.f64 x y))
100.0%
(/.f64 (+.f64 x y) (-.f64 x y))
45.1%
(/.f64 (+.f64 x y) #s(approx (- x y) (neg.f64 y)))
100.0%
(+.f64 (/.f64 y (-.f64 x y)) (/.f64 x (-.f64 x y)))
45.6%
#s(approx (/ (+ x y) (- x y)) (-.f64 (*.f64 (/.f64 #s(literal -2 binary64) y) x) #s(literal 1 binary64)))
55.4%
#s(approx (/ (+ x y) (- x y)) #s(literal 1 binary64))
44.4%
#s(approx (/ (+ x y) (- x y)) #s(literal -1 binary64))
Compiler

Compiled 161 to 97 computations (39.8% saved)

simplify5.0ms (0.1%)

Memory
5.8MiB live, 5.8MiB allocated; 0ms collecting garbage
Algorithm
egg-herbie
Localize:

Found 14 expressions of interest:

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

Useful iterations: 0 (0.0ms)

IterNodesCost
022103
03299
14399
24899
34999
04999
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(+.f64 (/.f64 y (-.f64 x y)) (/.f64 x (-.f64 x y)))
(/.f64 y (-.f64 x y))
y
(-.f64 x y)
x
(/.f64 x (-.f64 x y))
#s(approx (/ (+ x y) (- x y)) #s(literal -1 binary64))
#s(literal -1 binary64)
#s(approx (/ (+ x y) (- x y)) #s(literal 1 binary64))
#s(literal 1 binary64)
(/.f64 (+.f64 x y) #s(approx (- x y) (neg.f64 y)))
(+.f64 x y)
x
y
#s(approx (- x y) (neg.f64 y))
(neg.f64 y)
#s(approx (/ (+ x y) (- x y)) (-.f64 (*.f64 (/.f64 #s(literal -2 binary64) y) x) #s(literal 1 binary64)))
(-.f64 (*.f64 (/.f64 #s(literal -2 binary64) y) x) #s(literal 1 binary64))
(*.f64 (/.f64 #s(literal -2 binary64) y) x)
(/.f64 #s(literal -2 binary64) y)
#s(literal -2 binary64)
y
x
#s(literal 1 binary64)
Outputs
(+.f64 (/.f64 y (-.f64 x y)) (/.f64 x (-.f64 x y)))
(/.f64 (+.f64 x y) (-.f64 x y))
(/.f64 y (-.f64 x y))
y
(-.f64 x y)
x
(/.f64 x (-.f64 x y))
#s(approx (/ (+ x y) (- x y)) #s(literal -1 binary64))
#s(literal -1 binary64)
#s(approx (/ (+ x y) (- x y)) #s(literal 1 binary64))
#s(literal 1 binary64)
(/.f64 (+.f64 x y) #s(approx (- x y) (neg.f64 y)))
(+.f64 x y)
x
y
#s(approx (- x y) (neg.f64 y))
(neg.f64 y)
#s(approx (/ (+ x y) (- x y)) (-.f64 (*.f64 (/.f64 #s(literal -2 binary64) y) x) #s(literal 1 binary64)))
(-.f64 (*.f64 (/.f64 #s(literal -2 binary64) y) x) #s(literal 1 binary64))
(*.f64 (/.f64 #s(literal -2 binary64) y) x)
(/.f64 #s(literal -2 binary64) y)
#s(literal -2 binary64)
y
x
#s(literal 1 binary64)

localize56.0ms (1.3%)

Memory
5.3MiB live, 49.9MiB allocated; 6ms collecting garbage
Localize:

Found 14 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(/.f64 #s(literal -2 binary64) y)
accuracy0.0
(-.f64 (*.f64 (/.f64 #s(literal -2 binary64) y) x) #s(literal 1 binary64))
accuracy0.171875
(*.f64 (/.f64 #s(literal -2 binary64) y) x)
accuracy34.79288104700352
#s(approx (/ (+ x y) (- x y)) (-.f64 (*.f64 (/.f64 #s(literal -2 binary64) y) x) #s(literal 1 binary64)))
accuracy0.0
(+.f64 x y)
accuracy0.0
(neg.f64 y)
accuracy0.021816259768442016
(/.f64 (+.f64 x y) #s(approx (- x y) (neg.f64 y)))
accuracy34.94912218246932
#s(approx (- x y) (neg.f64 y))
accuracy28.55255872506155
#s(approx (/ (+ x y) (- x y)) #s(literal 1 binary64))
accuracy35.60183455941693
#s(approx (/ (+ x y) (- x y)) #s(literal -1 binary64))
accuracy0.0
(-.f64 x y)
accuracy0.0078125
(/.f64 y (-.f64 x y))
accuracy0.015625
(/.f64 x (-.f64 x y))
accuracy0.0390625
(+.f64 (/.f64 y (-.f64 x y)) (/.f64 x (-.f64 x y)))
Samples
45.0ms256×0valid
Compiler

Compiled 87 to 17 computations (80.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 33.0ms
ival-div: 25.0ms (75.5% of total)
ival-sub: 3.0ms (9.1% of total)
ival-add: 2.0ms (6% of total)
ival-mult: 2.0ms (6% of total)
ival-neg: 1.0ms (3% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series13.0ms (0.3%)

Memory
16.4MiB live, 16.4MiB allocated; 0ms collecting garbage
Counts
14 → 81
Calls
Call 1
Inputs
(+.f64 (/.f64 y (-.f64 x y)) (/.f64 x (-.f64 x y)))
(/.f64 y (-.f64 x y))
(-.f64 x y)
(/.f64 x (-.f64 x y))
#s(approx (/ (+ x y) (- x y)) #s(literal -1 binary64))
#s(approx (/ (+ x y) (- x y)) #s(literal 1 binary64))
(/.f64 (+.f64 x y) #s(approx (- x y) (neg.f64 y)))
(+.f64 x y)
#s(approx (- x y) (neg.f64 y))
(neg.f64 y)
#s(approx (/ (+ x y) (- x y)) (-.f64 (*.f64 (/.f64 #s(literal -2 binary64) y) x) #s(literal 1 binary64)))
(-.f64 (*.f64 (/.f64 #s(literal -2 binary64) y) x) #s(literal 1 binary64))
(*.f64 (/.f64 #s(literal -2 binary64) y) x)
(/.f64 #s(literal -2 binary64) 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 (/ x y)) 1)
(- (* x (- (* -1 (/ x (pow y 2))) (/ 1 y))) 1)
(- (* x (- (* x (- (* -1 (/ x (pow y 3))) (/ 1 (pow y 2)))) (/ 1 y))) 1)
(* -1 y)
(- x y)
(* -1 (/ x y))
(* x (- (* -1 (/ x (pow y 2))) (/ 1 y)))
(* x (- (* x (- (* -1 (/ 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)
(* -2 (/ x y))
1
(- (+ 1 (/ y x)) (* -1 (/ y x)))
(- (+ 1 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ y x))) (* -1 (/ y x)))
(- (+ 1 (+ (* 2 (/ (pow y 3) (pow x 3))) (/ y x))) (+ (* -2 (/ (pow y 2) (pow x 2))) (* -1 (/ y x))))
(/ y x)
(/ (+ y (/ (pow y 2) x)) x)
(/ (- (+ y (/ (pow y 3) (pow x 2))) (* -1 (/ (pow y 2) x))) x)
(/ (- (+ y (/ (pow y 4) (pow x 3))) (+ (* -1 (/ (pow y 2) x)) (* -1 (/ (pow y 3) (pow x 2))))) x)
x
(* x (+ 1 (* -1 (/ y x))))
(+ 1 (/ y x))
(- (+ 1 (/ (pow y 2) (pow x 2))) (* -1 (/ y x)))
(- (+ 1 (/ (pow y 3) (pow x 3))) (+ (* -1 (/ y x)) (* -1 (/ (pow y 2) (pow x 2)))))
(- (+ 1 (+ (/ y x) (/ (* y (- y (* -1 y))) (pow x 2)))) (* -1 (/ y x)))
(- (+ 1 (+ (/ y x) (/ (* (pow y 2) (- y (* -1 y))) (pow x 3)))) (+ (* -1 (/ y x)) (* -1 (/ (* y (- y (* -1 y))) (pow x 2)))))
(* x (+ 1 (/ y x)))
(* -1 (* x (+ (* 2 (/ 1 y)) (/ 1 x))))
(+ 1 (* -1 (/ (- (* -1 y) y) x)))
(+ 1 (* -1 (/ (- (+ (* -1 y) (* -1 (/ (- (pow y 2) (* -1 (pow y 2))) x))) y) x)))
(+ 1 (* -1 (/ (- (+ (* -1 y) (* -1 (/ (- (+ (* -1 (/ (- (* -1 (pow y 3)) (pow y 3)) x)) (pow y 2)) (* -1 (pow y 2))) x))) y) x)))
(* -1 (/ (+ (* -1 y) (* -1 (/ (pow y 2) x))) x))
(* -1 (/ (+ (* -1 y) (* -1 (/ (+ (/ (pow y 3) x) (pow y 2)) x))) x))
(* -1 (/ (+ (* -1 y) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (pow y 4) x)) (* -1 (pow y 3))) x)) (pow y 2)) x))) x))
(* -1 (* x (- (/ y x) 1)))
(+ 1 (* -1 (/ (- (* -1 (/ (pow y 2) x)) y) x)))
(+ 1 (* -1 (/ (- (* -1 (/ (- (/ (pow y 3) x) (* -1 (pow y 2))) x)) y) x)))
(+ 1 (* -1 (/ (+ (* -1 (- y (* -1 y))) (* -1 (/ (* y (- y (* -1 y))) x))) x)))
(+ 1 (* -1 (/ (+ (* -1 (- y (* -1 y))) (* -1 (/ (+ (* y (- y (* -1 y))) (/ (* (pow y 2) (- y (* -1 y))) x)) x))) x)))
(* -1 (* x (- (* -1 (/ y x)) 1)))
(* -1 (* x (+ (/ 1 x) (* 2 (/ 1 y)))))
(+ 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)))))
(* y (+ (/ 1 x) (/ y (pow x 2))))
(* y (+ (* y (+ (/ 1 (pow x 2)) (/ y (pow x 3)))) (/ 1 x)))
(* y (+ (* y (+ (* y (+ (/ 1 (pow x 3)) (/ y (pow x 4)))) (/ 1 (pow x 2)))) (/ 1 x)))
(+ x (* -1 y))
(+ 1 (* y (+ (/ 1 x) (/ y (pow x 2)))))
(+ 1 (* y (+ (* y (+ (/ 1 (pow x 2)) (/ y (pow x 3)))) (/ 1 x))))
(/ (+ (* -2 x) (* -1 y)) y)
(/ -2 y)
(- (* -1 (/ x y)) (+ 1 (/ x y)))
(- (+ (* -2 (/ (pow x 2) (pow y 2))) (* -1 (/ x y))) (+ 1 (/ x y)))
(- (+ (* -2 (/ (pow x 3) (pow y 3))) (* -1 (/ x y))) (+ 1 (+ (* 2 (/ (pow x 2) (pow y 2))) (/ x y))))
(- (* -1 (/ (pow x 2) (pow y 2))) (+ 1 (/ x y)))
(- (* -1 (/ (pow x 3) (pow y 3))) (+ 1 (+ (/ x y) (/ (pow x 2) (pow y 2)))))
(* y (- (/ x y) 1))
(/ (+ (* -1 x) (* -1 (/ (pow x 2) y))) y)
(/ (- (+ (* -1 x) (* -1 (/ (pow x 3) (pow y 2)))) (/ (pow x 2) y)) y)
(/ (- (+ (* -1 x) (* -1 (/ (pow x 4) (pow y 3)))) (+ (/ (pow x 2) y) (/ (pow x 3) (pow y 2)))) y)
(- (+ (* -1 (/ x y)) (/ (* x (- (* -1 x) x)) (pow y 2))) (+ 1 (/ x y)))
(- (+ (* -1 (/ x y)) (/ (* (pow x 2) (- (* -1 x) x)) (pow y 3))) (+ 1 (+ (* -1 (/ (* x (- (* -1 x) x)) (pow y 2))) (/ x y))))
(* y (+ 1 (/ x y)))
(- (* -1 (/ (+ (* -1 (/ (- (* -1 (pow x 2)) (pow x 2)) y)) (* 2 x)) y)) 1)
(- (* -1 (/ (+ (* -1 (/ (- (+ (* -1 (/ (- (pow x 3) (* -1 (pow x 3))) y)) (* -1 (pow x 2))) (pow x 2)) y)) (* 2 x)) y)) 1)
(- (* -1 (/ (- (/ (pow x 2) y) (* -1 x)) y)) 1)
(- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow x 3) y)) (pow x 2)) y)) (* -1 x)) y)) 1)
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(* -1 (/ (+ x (/ (pow x 2) y)) y))
(* -1 (/ (+ x (* -1 (/ (- (* -1 (/ (pow x 3) y)) (pow x 2)) y))) y))
(* -1 (/ (+ x (* -1 (/ (- (* -1 (/ (- (/ (pow x 4) y) (* -1 (pow x 3))) y)) (pow x 2)) y))) y))
(- (* -1 (/ (- x (* -1 x)) y)) 1)
(- (* -1 (/ (- (+ x (/ (* x (- x (* -1 x))) y)) (* -1 x)) y)) 1)
(- (* -1 (/ (- (+ x (* -1 (/ (- (* -1 (/ (* (pow x 2) (- x (* -1 x))) y)) (* x (- x (* -1 x)))) y))) (* -1 x)) y)) 1)
(* -1 (* y (- (* -1 (/ x y)) 1)))
Calls

6 calls:

TimeVariablePointExpression
3.0ms
y
@inf
((+ (/ y (- x y)) (/ x (- x y))) (/ y (- x y)) (- x y) (/ x (- x y)) (/ (+ x y) (- x y)) (/ (+ x y) (- x y)) (/ (+ x y) (- x y)) (+ x y) (- x y) (neg y) (/ (+ x y) (- x y)) (- (* (/ -2 y) x) 1) (* (/ -2 y) x) (/ -2 y))
2.0ms
x
@inf
((+ (/ y (- x y)) (/ x (- x y))) (/ y (- x y)) (- x y) (/ x (- x y)) (/ (+ x y) (- x y)) (/ (+ x y) (- x y)) (/ (+ x y) (- x y)) (+ x y) (- x y) (neg y) (/ (+ x y) (- x y)) (- (* (/ -2 y) x) 1) (* (/ -2 y) x) (/ -2 y))
2.0ms
x
@-inf
((+ (/ y (- x y)) (/ x (- x y))) (/ y (- x y)) (- x y) (/ x (- x y)) (/ (+ x y) (- x y)) (/ (+ x y) (- x y)) (/ (+ x y) (- x y)) (+ x y) (- x y) (neg y) (/ (+ x y) (- x y)) (- (* (/ -2 y) x) 1) (* (/ -2 y) x) (/ -2 y))
2.0ms
y
@-inf
((+ (/ y (- x y)) (/ x (- x y))) (/ y (- x y)) (- x y) (/ x (- x y)) (/ (+ x y) (- x y)) (/ (+ x y) (- x y)) (/ (+ x y) (- x y)) (+ x y) (- x y) (neg y) (/ (+ x y) (- x y)) (- (* (/ -2 y) x) 1) (* (/ -2 y) x) (/ -2 y))
1.0ms
y
@0
((+ (/ y (- x y)) (/ x (- x y))) (/ y (- x y)) (- x y) (/ x (- x y)) (/ (+ x y) (- x y)) (/ (+ x y) (- x y)) (/ (+ x y) (- x y)) (+ x y) (- x y) (neg y) (/ (+ x y) (- x y)) (- (* (/ -2 y) x) 1) (* (/ -2 y) x) (/ -2 y))

simplify165.0ms (3.9%)

Memory
0.2MiB live, 136.9MiB allocated; 32ms collecting garbage
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03601160
111661048
23913980
08420904
Stop Event
iter limit
node limit
Counts
81 → 79
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 (/ x y)) 1)
(- (* x (- (* -1 (/ x (pow y 2))) (/ 1 y))) 1)
(- (* x (- (* x (- (* -1 (/ x (pow y 3))) (/ 1 (pow y 2)))) (/ 1 y))) 1)
(* -1 y)
(- x y)
(* -1 (/ x y))
(* x (- (* -1 (/ x (pow y 2))) (/ 1 y)))
(* x (- (* x (- (* -1 (/ 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)
(* -2 (/ x y))
1
(- (+ 1 (/ y x)) (* -1 (/ y x)))
(- (+ 1 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ y x))) (* -1 (/ y x)))
(- (+ 1 (+ (* 2 (/ (pow y 3) (pow x 3))) (/ y x))) (+ (* -2 (/ (pow y 2) (pow x 2))) (* -1 (/ y x))))
(/ y x)
(/ (+ y (/ (pow y 2) x)) x)
(/ (- (+ y (/ (pow y 3) (pow x 2))) (* -1 (/ (pow y 2) x))) x)
(/ (- (+ y (/ (pow y 4) (pow x 3))) (+ (* -1 (/ (pow y 2) x)) (* -1 (/ (pow y 3) (pow x 2))))) x)
x
(* x (+ 1 (* -1 (/ y x))))
(+ 1 (/ y x))
(- (+ 1 (/ (pow y 2) (pow x 2))) (* -1 (/ y x)))
(- (+ 1 (/ (pow y 3) (pow x 3))) (+ (* -1 (/ y x)) (* -1 (/ (pow y 2) (pow x 2)))))
(- (+ 1 (+ (/ y x) (/ (* y (- y (* -1 y))) (pow x 2)))) (* -1 (/ y x)))
(- (+ 1 (+ (/ y x) (/ (* (pow y 2) (- y (* -1 y))) (pow x 3)))) (+ (* -1 (/ y x)) (* -1 (/ (* y (- y (* -1 y))) (pow x 2)))))
(* x (+ 1 (/ y x)))
(* -1 (* x (+ (* 2 (/ 1 y)) (/ 1 x))))
(+ 1 (* -1 (/ (- (* -1 y) y) x)))
(+ 1 (* -1 (/ (- (+ (* -1 y) (* -1 (/ (- (pow y 2) (* -1 (pow y 2))) x))) y) x)))
(+ 1 (* -1 (/ (- (+ (* -1 y) (* -1 (/ (- (+ (* -1 (/ (- (* -1 (pow y 3)) (pow y 3)) x)) (pow y 2)) (* -1 (pow y 2))) x))) y) x)))
(* -1 (/ (+ (* -1 y) (* -1 (/ (pow y 2) x))) x))
(* -1 (/ (+ (* -1 y) (* -1 (/ (+ (/ (pow y 3) x) (pow y 2)) x))) x))
(* -1 (/ (+ (* -1 y) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (pow y 4) x)) (* -1 (pow y 3))) x)) (pow y 2)) x))) x))
(* -1 (* x (- (/ y x) 1)))
(+ 1 (* -1 (/ (- (* -1 (/ (pow y 2) x)) y) x)))
(+ 1 (* -1 (/ (- (* -1 (/ (- (/ (pow y 3) x) (* -1 (pow y 2))) x)) y) x)))
(+ 1 (* -1 (/ (+ (* -1 (- y (* -1 y))) (* -1 (/ (* y (- y (* -1 y))) x))) x)))
(+ 1 (* -1 (/ (+ (* -1 (- y (* -1 y))) (* -1 (/ (+ (* y (- y (* -1 y))) (/ (* (pow y 2) (- y (* -1 y))) x)) x))) x)))
(* -1 (* x (- (* -1 (/ y x)) 1)))
(* -1 (* x (+ (/ 1 x) (* 2 (/ 1 y)))))
(+ 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)))))
(* y (+ (/ 1 x) (/ y (pow x 2))))
(* y (+ (* y (+ (/ 1 (pow x 2)) (/ y (pow x 3)))) (/ 1 x)))
(* y (+ (* y (+ (* y (+ (/ 1 (pow x 3)) (/ y (pow x 4)))) (/ 1 (pow x 2)))) (/ 1 x)))
(+ x (* -1 y))
(+ 1 (* y (+ (/ 1 x) (/ y (pow x 2)))))
(+ 1 (* y (+ (* y (+ (/ 1 (pow x 2)) (/ y (pow x 3)))) (/ 1 x))))
(/ (+ (* -2 x) (* -1 y)) y)
(/ -2 y)
(- (* -1 (/ x y)) (+ 1 (/ x y)))
(- (+ (* -2 (/ (pow x 2) (pow y 2))) (* -1 (/ x y))) (+ 1 (/ x y)))
(- (+ (* -2 (/ (pow x 3) (pow y 3))) (* -1 (/ x y))) (+ 1 (+ (* 2 (/ (pow x 2) (pow y 2))) (/ x y))))
(- (* -1 (/ (pow x 2) (pow y 2))) (+ 1 (/ x y)))
(- (* -1 (/ (pow x 3) (pow y 3))) (+ 1 (+ (/ x y) (/ (pow x 2) (pow y 2)))))
(* y (- (/ x y) 1))
(/ (+ (* -1 x) (* -1 (/ (pow x 2) y))) y)
(/ (- (+ (* -1 x) (* -1 (/ (pow x 3) (pow y 2)))) (/ (pow x 2) y)) y)
(/ (- (+ (* -1 x) (* -1 (/ (pow x 4) (pow y 3)))) (+ (/ (pow x 2) y) (/ (pow x 3) (pow y 2)))) y)
(- (+ (* -1 (/ x y)) (/ (* x (- (* -1 x) x)) (pow y 2))) (+ 1 (/ x y)))
(- (+ (* -1 (/ x y)) (/ (* (pow x 2) (- (* -1 x) x)) (pow y 3))) (+ 1 (+ (* -1 (/ (* x (- (* -1 x) x)) (pow y 2))) (/ x y))))
(* y (+ 1 (/ x y)))
(- (* -1 (/ (+ (* -1 (/ (- (* -1 (pow x 2)) (pow x 2)) y)) (* 2 x)) y)) 1)
(- (* -1 (/ (+ (* -1 (/ (- (+ (* -1 (/ (- (pow x 3) (* -1 (pow x 3))) y)) (* -1 (pow x 2))) (pow x 2)) y)) (* 2 x)) y)) 1)
(- (* -1 (/ (- (/ (pow x 2) y) (* -1 x)) y)) 1)
(- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow x 3) y)) (pow x 2)) y)) (* -1 x)) y)) 1)
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(* -1 (/ (+ x (/ (pow x 2) y)) y))
(* -1 (/ (+ x (* -1 (/ (- (* -1 (/ (pow x 3) y)) (pow x 2)) y))) y))
(* -1 (/ (+ x (* -1 (/ (- (* -1 (/ (- (/ (pow x 4) y) (* -1 (pow x 3))) y)) (pow x 2)) y))) y))
(- (* -1 (/ (- x (* -1 x)) y)) 1)
(- (* -1 (/ (- (+ x (/ (* x (- x (* -1 x))) y)) (* -1 x)) y)) 1)
(- (* -1 (/ (- (+ x (* -1 (/ (- (* -1 (/ (* (pow x 2) (- x (* -1 x))) y)) (* x (- x (* -1 x)))) y))) (* -1 x)) y)) 1)
(* -1 (* y (- (* -1 (/ x y)) 1)))
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)
(-.f64 (*.f64 (/.f64 (fma.f64 (/.f64 #s(literal -2 binary64) y) x #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)
(-.f64 (*.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal -2 binary64)) (*.f64 y y)) x (/.f64 #s(literal -2 binary64) y)) x) #s(literal 1 binary64))
(- (* -1 (/ x y)) 1)
(-.f64 (/.f64 (neg.f64 x) y) #s(literal 1 binary64))
(- (* x (- (* -1 (/ x (pow y 2))) (/ 1 y))) 1)
(-.f64 (*.f64 (-.f64 (/.f64 (neg.f64 x) (*.f64 y y)) (/.f64 #s(literal 1 binary64) y)) x) #s(literal 1 binary64))
(- (* x (- (* x (- (* -1 (/ x (pow y 3))) (/ 1 (pow y 2)))) (/ 1 y))) 1)
(-.f64 (*.f64 (-.f64 (*.f64 (-.f64 (/.f64 (neg.f64 x) (pow.f64 y #s(literal 3 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) y) y)) x) (/.f64 #s(literal 1 binary64) y)) x) #s(literal 1 binary64))
(* -1 y)
(neg.f64 y)
(- x y)
(-.f64 x y)
(* -1 (/ x y))
(/.f64 (neg.f64 x) y)
(* x (- (* -1 (/ x (pow y 2))) (/ 1 y)))
(*.f64 (-.f64 (/.f64 (neg.f64 x) (*.f64 y y)) (/.f64 #s(literal 1 binary64) y)) x)
(* x (- (* x (- (* -1 (/ x (pow y 3))) (/ 1 (pow y 2)))) (/ 1 y)))
(*.f64 (-.f64 (*.f64 (-.f64 (/.f64 (neg.f64 x) (pow.f64 y #s(literal 3 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) y) y)) x) (/.f64 #s(literal 1 binary64) y)) x)
(* x (- (* x (- (* x (- (* -1 (/ x (pow y 4))) (/ 1 (pow y 3)))) (/ 1 (pow y 2)))) (/ 1 y)))
(*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (-.f64 (/.f64 (neg.f64 x) (pow.f64 y #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) x) (/.f64 (/.f64 #s(literal 1 binary64) y) y)) x) (/.f64 #s(literal 1 binary64) y)) x)
y
(+ x y)
(+.f64 x y)
(* -2 (/ x y))
(*.f64 (/.f64 #s(literal -2 binary64) y) x)
1
#s(literal 1 binary64)
(- (+ 1 (/ y x)) (* -1 (/ y x)))
(fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 1 binary64))
(- (+ 1 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ y x))) (* -1 (/ y x)))
(fma.f64 (/.f64 #s(literal 2 binary64) x) (fma.f64 y (/.f64 y x) y) #s(literal 1 binary64))
(- (+ 1 (+ (* 2 (/ (pow y 3) (pow x 3))) (/ y x))) (+ (* -2 (/ (pow y 2) (pow x 2))) (* -1 (/ y x))))
(fma.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64)) (*.f64 x x)) y (/.f64 #s(literal 2 binary64) x)) y #s(literal 1 binary64))
(/ y x)
(/.f64 y x)
(/ (+ y (/ (pow y 2) x)) x)
(/.f64 (fma.f64 y (/.f64 y x) y) x)
(/ (- (+ y (/ (pow y 3) (pow x 2))) (* -1 (/ (pow y 2) x))) x)
(/.f64 (fma.f64 (/.f64 y x) (fma.f64 y (/.f64 y x) y) y) x)
(/ (- (+ y (/ (pow y 4) (pow x 3))) (+ (* -1 (/ (pow y 2) x)) (* -1 (/ (pow y 3) (pow x 2))))) x)
(/.f64 (+.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (/.f64 y x) (fma.f64 y (/.f64 y x) y) y)) x)
x
(* x (+ 1 (* -1 (/ y x))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x)
(+ 1 (/ y x))
(+.f64 (/.f64 y x) #s(literal 1 binary64))
(- (+ 1 (/ (pow y 2) (pow x 2))) (* -1 (/ y x)))
(fma.f64 (/.f64 (+.f64 (/.f64 y x) #s(literal 1 binary64)) x) y #s(literal 1 binary64))
(- (+ 1 (/ (pow y 3) (pow x 3))) (+ (* -1 (/ y x)) (* -1 (/ (pow y 2) (pow x 2)))))
(+.f64 (/.f64 (fma.f64 (/.f64 y x) (fma.f64 y (/.f64 y x) y) y) x) #s(literal 1 binary64))
(- (+ 1 (+ (/ y x) (/ (* y (- y (* -1 y))) (pow x 2)))) (* -1 (/ y x)))
(fma.f64 (/.f64 #s(literal 2 binary64) x) (fma.f64 y (/.f64 y x) y) #s(literal 1 binary64))
(- (+ 1 (+ (/ y x) (/ (* (pow y 2) (- y (* -1 y))) (pow x 3)))) (+ (* -1 (/ y x)) (* -1 (/ (* y (- y (* -1 y))) (pow x 2)))))
(fma.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64)) (*.f64 x x)) y (/.f64 #s(literal 2 binary64) x)) y #s(literal 1 binary64))
(* x (+ 1 (/ y x)))
(fma.f64 (/.f64 y x) x x)
(* -1 (* x (+ (* 2 (/ 1 y)) (/ 1 x))))
(fma.f64 (/.f64 x y) #s(literal -2 binary64) #s(literal -1 binary64))
(+ 1 (* -1 (/ (- (* -1 y) y) x)))
(fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 1 binary64))
(+ 1 (* -1 (/ (- (+ (* -1 y) (* -1 (/ (- (pow y 2) (* -1 (pow y 2))) x))) y) x)))
(fma.f64 (/.f64 #s(literal 2 binary64) x) (fma.f64 y (/.f64 y x) y) #s(literal 1 binary64))
(+ 1 (* -1 (/ (- (+ (* -1 y) (* -1 (/ (- (+ (* -1 (/ (- (* -1 (pow y 3)) (pow y 3)) x)) (pow y 2)) (* -1 (pow y 2))) x))) y) x)))
(fma.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64)) (*.f64 x x)) y (/.f64 #s(literal 2 binary64) x)) y #s(literal 1 binary64))
(* -1 (/ (+ (* -1 y) (* -1 (/ (pow y 2) x))) x))
(/.f64 (fma.f64 y (/.f64 y x) y) x)
(* -1 (/ (+ (* -1 y) (* -1 (/ (+ (/ (pow y 3) x) (pow y 2)) x))) x))
(/.f64 (fma.f64 (/.f64 y x) (fma.f64 y (/.f64 y x) y) y) x)
(* -1 (/ (+ (* -1 y) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (pow y 4) x)) (* -1 (pow y 3))) x)) (pow y 2)) x))) x))
(/.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 (* x (- (/ y x) 1)))
(*.f64 (neg.f64 x) (-.f64 (/.f64 y x) #s(literal 1 binary64)))
(+ 1 (* -1 (/ (- (* -1 (/ (pow y 2) x)) y) x)))
(fma.f64 (/.f64 (+.f64 (/.f64 y x) #s(literal 1 binary64)) x) y #s(literal 1 binary64))
(+ 1 (* -1 (/ (- (* -1 (/ (- (/ (pow y 3) x) (* -1 (pow y 2))) x)) y) x)))
(+.f64 (/.f64 (fma.f64 (/.f64 y x) (fma.f64 y (/.f64 y x) y) y) x) #s(literal 1 binary64))
(+ 1 (* -1 (/ (+ (* -1 (- y (* -1 y))) (* -1 (/ (* y (- y (* -1 y))) x))) x)))
(fma.f64 (/.f64 #s(literal 2 binary64) x) (fma.f64 y (/.f64 y x) y) #s(literal 1 binary64))
(+ 1 (* -1 (/ (+ (* -1 (- y (* -1 y))) (* -1 (/ (+ (* y (- y (* -1 y))) (/ (* (pow y 2) (- y (* -1 y))) x)) x))) x)))
(fma.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64)) (*.f64 x x)) y (/.f64 #s(literal 2 binary64) x)) y #s(literal 1 binary64))
(* -1 (* x (- (* -1 (/ y x)) 1)))
(*.f64 (neg.f64 x) (-.f64 (/.f64 (neg.f64 y) 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 (* 2 (/ y x)))
(fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 1 binary64))
(+ 1 (* y (+ (* 2 (/ y (pow x 2))) (* 2 (/ 1 x)))))
(fma.f64 (/.f64 #s(literal 2 binary64) x) (fma.f64 y (/.f64 y x) 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 (/.f64 (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64)) (*.f64 x x)) y (/.f64 #s(literal 2 binary64) x)) y #s(literal 1 binary64))
(* y (+ (/ 1 x) (/ y (pow x 2))))
(/.f64 (fma.f64 y (/.f64 y x) y) x)
(* y (+ (* y (+ (/ 1 (pow x 2)) (/ y (pow x 3)))) (/ 1 x)))
(/.f64 (fma.f64 (/.f64 y x) (fma.f64 y (/.f64 y x) y) y) x)
(* y (+ (* y (+ (* y (+ (/ 1 (pow x 3)) (/ y (pow x 4)))) (/ 1 (pow x 2)))) (/ 1 x)))
(*.f64 (fma.f64 (fma.f64 (/.f64 y (pow.f64 x #s(literal 4 binary64))) y (/.f64 y (pow.f64 x #s(literal 3 binary64)))) y (/.f64 (+.f64 (/.f64 y x) #s(literal 1 binary64)) x)) y)
(+ x (* -1 y))
(-.f64 x y)
(+ 1 (* y (+ (/ 1 x) (/ y (pow x 2)))))
(fma.f64 (/.f64 (+.f64 (/.f64 y x) #s(literal 1 binary64)) x) y #s(literal 1 binary64))
(+ 1 (* y (+ (* y (+ (/ 1 (pow x 2)) (/ y (pow x 3)))) (/ 1 x))))
(+.f64 (/.f64 (fma.f64 (/.f64 y x) (fma.f64 y (/.f64 y x) y) y) x) #s(literal 1 binary64))
(/ (+ (* -2 x) (* -1 y)) y)
(fma.f64 (/.f64 x y) #s(literal -2 binary64) #s(literal -1 binary64))
(/ -2 y)
(/.f64 #s(literal -2 binary64) y)
(- (* -1 (/ x y)) (+ 1 (/ x y)))
(fma.f64 (/.f64 x y) #s(literal -2 binary64) #s(literal -1 binary64))
(- (+ (* -2 (/ (pow x 2) (pow y 2))) (* -1 (/ x y))) (+ 1 (/ x y)))
(-.f64 (*.f64 (/.f64 (fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal -2 binary64)) y) x) #s(literal 1 binary64))
(- (+ (* -2 (/ (pow x 3) (pow y 3))) (* -1 (/ x y))) (+ 1 (+ (* 2 (/ (pow x 2) (pow y 2))) (/ x y))))
(-.f64 (*.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal -2 binary64)) (+.f64 (/.f64 (*.f64 x (fma.f64 (/.f64 #s(literal 2 binary64) y) x #s(literal 2 binary64))) y) #s(literal 1 binary64)))
(- (* -1 (/ (pow x 2) (pow y 2))) (+ 1 (/ x y)))
(-.f64 (*.f64 (/.f64 x y) (-.f64 #s(literal -1 binary64) (/.f64 x y))) #s(literal 1 binary64))
(- (* -1 (/ (pow x 3) (pow y 3))) (+ 1 (+ (/ x y) (/ (pow x 2) (pow y 2)))))
(-.f64 (pow.f64 (/.f64 (neg.f64 x) y) #s(literal 3 binary64)) (fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) (/.f64 x y) #s(literal 1 binary64)))
(* y (- (/ x y) 1))
(*.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) y)
(/ (+ (* -1 x) (* -1 (/ (pow x 2) y))) y)
(*.f64 (/.f64 x y) (-.f64 #s(literal -1 binary64) (/.f64 x y)))
(/ (- (+ (* -1 x) (* -1 (/ (pow x 3) (pow y 2)))) (/ (pow x 2) y)) y)
(/.f64 (-.f64 (neg.f64 x) (*.f64 (/.f64 x y) (fma.f64 x (/.f64 x y) x))) y)
(/ (- (+ (* -1 x) (* -1 (/ (pow x 4) (pow y 3)))) (+ (/ (pow x 2) y) (/ (pow x 3) (pow y 2)))) y)
(/.f64 (-.f64 x (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) y) (pow.f64 x #s(literal 3 binary64))) (neg.f64 y)) (*.f64 x x)) y)) (neg.f64 y))
(- (+ (* -1 (/ x y)) (/ (* x (- (* -1 x) x)) (pow y 2))) (+ 1 (/ x y)))
(-.f64 (*.f64 (/.f64 (fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal -2 binary64)) y) x) #s(literal 1 binary64))
(- (+ (* -1 (/ x y)) (/ (* (pow x 2) (- (* -1 x) x)) (pow y 3))) (+ 1 (+ (* -1 (/ (* x (- (* -1 x) x)) (pow y 2))) (/ x y))))
(-.f64 (*.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal -2 binary64)) (+.f64 (/.f64 (*.f64 x (fma.f64 (/.f64 #s(literal 2 binary64) y) x #s(literal 2 binary64))) y) #s(literal 1 binary64)))
(* y (+ 1 (/ x y)))
(fma.f64 (/.f64 x y) y y)
(- (* -1 (/ (+ (* -1 (/ (- (* -1 (pow x 2)) (pow x 2)) y)) (* 2 x)) y)) 1)
(-.f64 (*.f64 (/.f64 (fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal -2 binary64)) y) x) #s(literal 1 binary64))
(- (* -1 (/ (+ (* -1 (/ (- (+ (* -1 (/ (- (pow x 3) (* -1 (pow x 3))) y)) (* -1 (pow x 2))) (pow x 2)) y)) (* 2 x)) y)) 1)
(-.f64 (*.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal -2 binary64)) (*.f64 y y)) x (/.f64 #s(literal -2 binary64) y)) x) #s(literal 1 binary64))
(- (* -1 (/ (- (/ (pow x 2) y) (* -1 x)) y)) 1)
(-.f64 (*.f64 (/.f64 x y) (-.f64 #s(literal -1 binary64) (/.f64 x y))) #s(literal 1 binary64))
(- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow x 3) y)) (pow x 2)) y)) (* -1 x)) y)) 1)
(-.f64 (pow.f64 (/.f64 (neg.f64 x) y) #s(literal 3 binary64)) (fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) (/.f64 x y) #s(literal 1 binary64)))
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(fma.f64 (/.f64 x y) y (neg.f64 y))
(* -1 (/ (+ x (/ (pow x 2) y)) y))
(*.f64 (/.f64 x y) (-.f64 #s(literal -1 binary64) (/.f64 x y)))
(* -1 (/ (+ x (* -1 (/ (- (* -1 (/ (pow x 3) y)) (pow x 2)) y))) y))
(/.f64 (-.f64 (neg.f64 x) (*.f64 (/.f64 x y) (fma.f64 x (/.f64 x y) x))) y)
(* -1 (/ (+ x (* -1 (/ (- (* -1 (/ (- (/ (pow x 4) y) (* -1 (pow x 3))) y)) (pow x 2)) y))) y))
(/.f64 (-.f64 x (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) y) (pow.f64 x #s(literal 3 binary64))) (neg.f64 y)) (*.f64 x x)) y)) (neg.f64 y))
(- (* -1 (/ (- x (* -1 x)) y)) 1)
(fma.f64 (/.f64 x y) #s(literal -2 binary64) #s(literal -1 binary64))
(- (* -1 (/ (- (+ x (/ (* x (- x (* -1 x))) y)) (* -1 x)) y)) 1)
(-.f64 (*.f64 (/.f64 (fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal -2 binary64)) y) x) #s(literal 1 binary64))
(- (* -1 (/ (- (+ x (* -1 (/ (- (* -1 (/ (* (pow x 2) (- x (* -1 x))) y)) (* x (- x (* -1 x)))) y))) (* -1 x)) y)) 1)
(-.f64 (*.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal -2 binary64)) (*.f64 y y)) x (/.f64 #s(literal -2 binary64) y)) x) #s(literal 1 binary64))
(* -1 (* y (- (* -1 (/ x y)) 1)))
(*.f64 (neg.f64 y) (-.f64 (/.f64 (neg.f64 x) y) #s(literal 1 binary64)))

rewrite368.0ms (8.8%)

Memory
6.6MiB live, 298.0MiB allocated; 60ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02293
03289
110189
269289
0850289
Stop Event
iter limit
node limit
iter limit
Counts
14 → 538
Calls
Call 1
Inputs
(+.f64 (/.f64 y (-.f64 x y)) (/.f64 x (-.f64 x y)))
(/.f64 y (-.f64 x y))
(-.f64 x y)
(/.f64 x (-.f64 x y))
#s(approx (/ (+ x y) (- x y)) #s(literal -1 binary64))
#s(approx (/ (+ x y) (- x y)) #s(literal 1 binary64))
(/.f64 (+.f64 x y) #s(approx (- x y) (neg.f64 y)))
(+.f64 x y)
#s(approx (- x y) (neg.f64 y))
(neg.f64 y)
#s(approx (/ (+ x y) (- x y)) (-.f64 (*.f64 (/.f64 #s(literal -2 binary64) y) x) #s(literal 1 binary64)))
(-.f64 (*.f64 (/.f64 #s(literal -2 binary64) y) x) #s(literal 1 binary64))
(*.f64 (/.f64 #s(literal -2 binary64) y) x)
(/.f64 #s(literal -2 binary64) y)
Outputs
(*.f64 (*.f64 (/.f64 (+.f64 x y) (*.f64 (+.f64 x y) (-.f64 x y))) #s(literal 1 binary64)) (+.f64 x y))
(*.f64 (*.f64 (/.f64 (+.f64 x y) (*.f64 (+.f64 x y) (-.f64 x y))) (/.f64 (*.f64 (+.f64 x y) (-.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 x y))))
(*.f64 (+.f64 (/.f64 (neg.f64 x) (-.f64 x y)) (fabs.f64 (/.f64 y (-.f64 x y)))) (-.f64 (/.f64 (neg.f64 x) (-.f64 x y)) (fabs.f64 (/.f64 y (-.f64 x y)))))
(*.f64 (+.f64 (/.f64 (neg.f64 x) (-.f64 x y)) (/.f64 y (-.f64 x y))) (-.f64 (/.f64 (neg.f64 x) (-.f64 x y)) (/.f64 y (-.f64 x y))))
(*.f64 (+.f64 (fabs.f64 (/.f64 x (-.f64 x y))) (/.f64 (neg.f64 y) (-.f64 x y))) (-.f64 (fabs.f64 (/.f64 x (-.f64 x y))) (/.f64 (neg.f64 y) (-.f64 x y))))
(*.f64 (+.f64 (fabs.f64 (/.f64 x (-.f64 x y))) (fabs.f64 (/.f64 y (-.f64 x y)))) (-.f64 (fabs.f64 (/.f64 x (-.f64 x y))) (fabs.f64 (/.f64 y (-.f64 x y)))))
(*.f64 (+.f64 (fabs.f64 (/.f64 x (-.f64 x y))) (/.f64 y (-.f64 x y))) (-.f64 (fabs.f64 (/.f64 x (-.f64 x y))) (/.f64 y (-.f64 x y))))
(*.f64 (+.f64 (/.f64 x (-.f64 x y)) (fabs.f64 (/.f64 y (-.f64 x y)))) (-.f64 (/.f64 x (-.f64 x y)) (fabs.f64 (/.f64 y (-.f64 x y)))))
(*.f64 (/.f64 (+.f64 x y) (fabs.f64 (-.f64 y x))) (/.f64 (-.f64 x y) (fabs.f64 (-.f64 y x))))
(*.f64 (/.f64 (fma.f64 y (-.f64 y x) (*.f64 x x)) (fma.f64 y (-.f64 y x) (*.f64 x x))) (/.f64 (+.f64 x y) (-.f64 x y)))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 x y) (-.f64 x y)) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (/.f64 (+.f64 x y) (fma.f64 y (-.f64 y x) (*.f64 x x))))
(*.f64 (/.f64 (/.f64 (*.f64 (+.f64 x y) (-.f64 x y)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (/.f64 (*.f64 (+.f64 x y) (-.f64 x y)) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (/.f64 (fma.f64 x x (*.f64 y (+.f64 x y))) (fma.f64 y (-.f64 y x) (*.f64 x x))))
(*.f64 (/.f64 (/.f64 (*.f64 (+.f64 x y) (-.f64 x y)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) #s(literal 1 binary64)) (/.f64 (fma.f64 x x (*.f64 y (+.f64 x y))) (-.f64 x y)))
(*.f64 (/.f64 (neg.f64 (+.f64 x y)) (-.f64 x y)) (-.f64 (/.f64 (neg.f64 x) (-.f64 x y)) (/.f64 (neg.f64 y) (-.f64 x y))))
(*.f64 (/.f64 (neg.f64 (+.f64 x y)) (-.f64 x y)) (/.f64 (-.f64 x y) (neg.f64 (-.f64 x y))))
(*.f64 (/.f64 (+.f64 x y) (*.f64 (+.f64 x y) (-.f64 x y))) (+.f64 x y))
(*.f64 (/.f64 (+.f64 x y) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 x x (*.f64 y (+.f64 x y))))
(*.f64 (/.f64 (-.f64 x y) (-.f64 x y)) (/.f64 (+.f64 x y) (-.f64 x y)))
(*.f64 (fma.f64 x x (*.f64 y (+.f64 x y))) (/.f64 (+.f64 x y) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))))
(*.f64 (+.f64 x y) (/.f64 (+.f64 x y) (*.f64 (+.f64 x y) (-.f64 x y))))
(*.f64 #s(literal 1 binary64) (/.f64 (+.f64 x y) (-.f64 x y)))
(*.f64 (/.f64 (+.f64 x y) (-.f64 x y)) (/.f64 (-.f64 x y) (-.f64 x y)))
(/.f64 (*.f64 (/.f64 (+.f64 x y) (*.f64 (+.f64 x y) (-.f64 x y))) (fma.f64 y y (*.f64 (neg.f64 x) x))) (-.f64 y x))
(/.f64 (*.f64 (/.f64 (+.f64 x y) (*.f64 (+.f64 x y) (-.f64 x y))) (fma.f64 (neg.f64 x) x (*.f64 y y))) (neg.f64 (-.f64 x y)))
(/.f64 (*.f64 (/.f64 (+.f64 x y) (*.f64 (+.f64 x y) (-.f64 x y))) (neg.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (neg.f64 (fma.f64 y (-.f64 y x) (*.f64 x x))))
(/.f64 (*.f64 (/.f64 (+.f64 x y) (*.f64 (+.f64 x y) (-.f64 x y))) (*.f64 (+.f64 x y) (-.f64 x y))) (-.f64 x y))
(/.f64 (*.f64 (/.f64 (+.f64 x y) (*.f64 (+.f64 x y) (-.f64 x y))) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 y y (*.f64 (-.f64 x y) x)))
(/.f64 (*.f64 (/.f64 (+.f64 x y) (*.f64 (+.f64 x y) (-.f64 x 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 (/.f64 (+.f64 x y) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 y (+.f64 x y)) #s(literal 2 binary64)))) (-.f64 (*.f64 x x) (*.f64 y (+.f64 x y))))
(/.f64 (*.f64 (/.f64 (+.f64 x y) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (*.f64 y (+.f64 x y)) #s(literal 3 binary64)))) (+.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (*.f64 y (+.f64 x y)) (-.f64 (*.f64 y (+.f64 x y)) (*.f64 x x)))))
(/.f64 (-.f64 (pow.f64 (/.f64 x (-.f64 x y)) #s(literal 4 binary64)) (pow.f64 (/.f64 y (-.f64 x y)) #s(literal 4 binary64))) (+.f64 (pow.f64 (/.f64 x (-.f64 x y)) #s(literal 2 binary64)) (pow.f64 (/.f64 y (-.f64 x y)) #s(literal 2 binary64))))
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (/.f64 y (-.f64 x y)) #s(literal 2 binary64)) (/.f64 (-.f64 y x) (-.f64 x y))) (/.f64 (pow.f64 (/.f64 y (-.f64 x y)) #s(literal 2 binary64)) (/.f64 (-.f64 y x) (-.f64 x y)))) (*.f64 (/.f64 (pow.f64 (/.f64 x (-.f64 x y)) #s(literal 2 binary64)) (/.f64 (-.f64 y x) (-.f64 x y))) (/.f64 (pow.f64 (/.f64 x (-.f64 x y)) #s(literal 2 binary64)) (/.f64 (-.f64 y x) (-.f64 x y))))) (+.f64 (/.f64 (pow.f64 (/.f64 y (-.f64 x y)) #s(literal 2 binary64)) (/.f64 (-.f64 y x) (-.f64 x y))) (/.f64 (pow.f64 (/.f64 x (-.f64 x y)) #s(literal 2 binary64)) (/.f64 (-.f64 y x) (-.f64 x y)))))
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (/.f64 y (-.f64 x y)) #s(literal 3 binary64)) (+.f64 (/.f64 (*.f64 (-.f64 x y) x) (pow.f64 (-.f64 x y) #s(literal 2 binary64))) (pow.f64 (/.f64 y (-.f64 x y)) #s(literal 2 binary64)))) (/.f64 (pow.f64 (/.f64 y (-.f64 x y)) #s(literal 3 binary64)) (+.f64 (/.f64 (*.f64 (-.f64 x y) x) (pow.f64 (-.f64 x y) #s(literal 2 binary64))) (pow.f64 (/.f64 y (-.f64 x y)) #s(literal 2 binary64))))) (*.f64 (/.f64 (pow.f64 (/.f64 x (-.f64 x y)) #s(literal 3 binary64)) (+.f64 (/.f64 (*.f64 (-.f64 x y) x) (pow.f64 (-.f64 x y) #s(literal 2 binary64))) (pow.f64 (/.f64 y (-.f64 x y)) #s(literal 2 binary64)))) (/.f64 (pow.f64 (/.f64 x (-.f64 x y)) #s(literal 3 binary64)) (+.f64 (/.f64 (*.f64 (-.f64 x y) x) (pow.f64 (-.f64 x y) #s(literal 2 binary64))) (pow.f64 (/.f64 y (-.f64 x y)) #s(literal 2 binary64)))))) (-.f64 (/.f64 (pow.f64 (/.f64 y (-.f64 x y)) #s(literal 3 binary64)) (+.f64 (/.f64 (*.f64 (-.f64 x y) x) (pow.f64 (-.f64 x y) #s(literal 2 binary64))) (pow.f64 (/.f64 y (-.f64 x y)) #s(literal 2 binary64)))) (/.f64 (pow.f64 (/.f64 x (-.f64 x y)) #s(literal 3 binary64)) (+.f64 (/.f64 (*.f64 (-.f64 x y) x) (pow.f64 (-.f64 x y) #s(literal 2 binary64))) (pow.f64 (/.f64 y (-.f64 x y)) #s(literal 2 binary64))))))
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 (-.f64 x y) y) (pow.f64 (-.f64 x y) #s(literal 2 binary64))) (/.f64 (*.f64 (-.f64 x y) y) (pow.f64 (-.f64 x y) #s(literal 2 binary64)))) (pow.f64 (/.f64 (*.f64 (-.f64 x y) x) (pow.f64 (-.f64 x y) #s(literal 2 binary64))) #s(literal 2 binary64))) (/.f64 (-.f64 y x) (-.f64 x y)))
(/.f64 (-.f64 (pow.f64 (*.f64 (-.f64 x y) x) #s(literal 2 binary64)) (pow.f64 (*.f64 (-.f64 x y) y) #s(literal 2 binary64))) (*.f64 (pow.f64 (-.f64 x y) #s(literal 2 binary64)) (pow.f64 (-.f64 x y) #s(literal 2 binary64))))
(/.f64 (-.f64 (pow.f64 (/.f64 x (-.f64 x y)) #s(literal 6 binary64)) (pow.f64 (/.f64 y (-.f64 x y)) #s(literal 6 binary64))) (+.f64 (pow.f64 (/.f64 x (-.f64 x y)) #s(literal 4 binary64)) (+.f64 (pow.f64 (/.f64 y (-.f64 x y)) #s(literal 4 binary64)) (pow.f64 (/.f64 (*.f64 x y) (pow.f64 (-.f64 x y) #s(literal 2 binary64))) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (/.f64 y (-.f64 x y)) #s(literal 2 binary64)) (/.f64 (-.f64 y x) (-.f64 x y))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (/.f64 x (-.f64 x y)) #s(literal 2 binary64)) (/.f64 (-.f64 y x) (-.f64 x y))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (/.f64 y (-.f64 x y)) #s(literal 2 binary64)) (/.f64 (-.f64 y x) (-.f64 x y))) (/.f64 (pow.f64 (/.f64 y (-.f64 x y)) #s(literal 2 binary64)) (/.f64 (-.f64 y x) (-.f64 x y))) (fma.f64 (/.f64 (pow.f64 (/.f64 x (-.f64 x y)) #s(literal 2 binary64)) (/.f64 (-.f64 y x) (-.f64 x y))) (/.f64 (pow.f64 (/.f64 x (-.f64 x y)) #s(literal 2 binary64)) (/.f64 (-.f64 y x) (-.f64 x y))) (*.f64 (/.f64 (pow.f64 (/.f64 y (-.f64 x y)) #s(literal 2 binary64)) (/.f64 (-.f64 y x) (-.f64 x y))) (/.f64 (pow.f64 (/.f64 x (-.f64 x y)) #s(literal 2 binary64)) (/.f64 (-.f64 y x) (-.f64 x y)))))))
(/.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 (/.f64 y (-.f64 x y)) #s(literal 3 binary64)) (+.f64 (/.f64 (*.f64 (-.f64 x y) x) (pow.f64 (-.f64 x y) #s(literal 2 binary64))) (pow.f64 (/.f64 y (-.f64 x y)) #s(literal 2 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (/.f64 x (-.f64 x y)) #s(literal 3 binary64)) (+.f64 (/.f64 (*.f64 (-.f64 x y) x) (pow.f64 (-.f64 x y) #s(literal 2 binary64))) (pow.f64 (/.f64 y (-.f64 x y)) #s(literal 2 binary64)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (/.f64 y (-.f64 x y)) #s(literal 3 binary64)) (+.f64 (/.f64 (*.f64 (-.f64 x y) x) (pow.f64 (-.f64 x y) #s(literal 2 binary64))) (pow.f64 (/.f64 y (-.f64 x y)) #s(literal 2 binary64)))) (/.f64 (pow.f64 (/.f64 y (-.f64 x y)) #s(literal 3 binary64)) (+.f64 (/.f64 (*.f64 (-.f64 x y) x) (pow.f64 (-.f64 x y) #s(literal 2 binary64))) (pow.f64 (/.f64 y (-.f64 x y)) #s(literal 2 binary64)))) (-.f64 (*.f64 (/.f64 (pow.f64 (/.f64 x (-.f64 x y)) #s(literal 3 binary64)) (+.f64 (/.f64 (*.f64 (-.f64 x y) x) (pow.f64 (-.f64 x y) #s(literal 2 binary64))) (pow.f64 (/.f64 y (-.f64 x y)) #s(literal 2 binary64)))) (/.f64 (pow.f64 (/.f64 x (-.f64 x y)) #s(literal 3 binary64)) (+.f64 (/.f64 (*.f64 (-.f64 x y) x) (pow.f64 (-.f64 x y) #s(literal 2 binary64))) (pow.f64 (/.f64 y (-.f64 x y)) #s(literal 2 binary64))))) (*.f64 (/.f64 (pow.f64 (/.f64 y (-.f64 x y)) #s(literal 3 binary64)) (+.f64 (/.f64 (*.f64 (-.f64 x y) x) (pow.f64 (-.f64 x y) #s(literal 2 binary64))) (pow.f64 (/.f64 y (-.f64 x y)) #s(literal 2 binary64)))) (/.f64 (pow.f64 (/.f64 x (-.f64 x y)) #s(literal 3 binary64)) (+.f64 (/.f64 (*.f64 (-.f64 x y) x) (pow.f64 (-.f64 x y) #s(literal 2 binary64))) (pow.f64 (/.f64 y (-.f64 x y)) #s(literal 2 binary64))))))))
(/.f64 (+.f64 (pow.f64 (/.f64 (*.f64 (-.f64 x y) y) (pow.f64 (-.f64 x y) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 (-.f64 x y) x) (pow.f64 (-.f64 x y) #s(literal 2 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 (-.f64 x y) y) (pow.f64 (-.f64 x y) #s(literal 2 binary64))) (/.f64 (*.f64 (-.f64 x y) y) (pow.f64 (-.f64 x y) #s(literal 2 binary64))) (-.f64 (pow.f64 (/.f64 (*.f64 (-.f64 x y) x) (pow.f64 (-.f64 x y) #s(literal 2 binary64))) #s(literal 2 binary64)) (*.f64 (/.f64 (*.f64 (-.f64 x y) y) (pow.f64 (-.f64 x y) #s(literal 2 binary64))) (/.f64 (*.f64 (-.f64 x y) x) (pow.f64 (-.f64 x y) #s(literal 2 binary64)))))))
(/.f64 (neg.f64 (/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (-.f64 x y))) (neg.f64 (-.f64 x y)))
(/.f64 (neg.f64 (neg.f64 (*.f64 (-.f64 x y) (+.f64 x y)))) (pow.f64 (-.f64 x y) #s(literal 2 binary64)))
(/.f64 (neg.f64 (fma.f64 (neg.f64 x) (neg.f64 (-.f64 x y)) (*.f64 (neg.f64 (-.f64 x y)) (neg.f64 y)))) (neg.f64 (pow.f64 (-.f64 x y) #s(literal 2 binary64))))
(/.f64 (neg.f64 (fma.f64 (neg.f64 (-.f64 x y)) (neg.f64 y) (*.f64 (neg.f64 x) (neg.f64 (-.f64 x y))))) (neg.f64 (pow.f64 (-.f64 x y) #s(literal 2 binary64))))
(/.f64 (/.f64 (neg.f64 (+.f64 x y)) (-.f64 x y)) (neg.f64 (/.f64 (-.f64 x y) (-.f64 x y))))
(/.f64 (-.f64 (*.f64 (*.f64 (neg.f64 x) (/.f64 x (-.f64 x y))) (neg.f64 (-.f64 x y))) (*.f64 (neg.f64 (-.f64 x y)) (*.f64 (neg.f64 y) (/.f64 y (-.f64 x y))))) (pow.f64 (-.f64 x y) #s(literal 2 binary64)))
(/.f64 (-.f64 (*.f64 (*.f64 (neg.f64 x) (/.f64 x (-.f64 x y))) (-.f64 x y)) (*.f64 (neg.f64 (-.f64 x y)) (*.f64 (/.f64 y (-.f64 x y)) y))) (neg.f64 (pow.f64 (-.f64 x y) #s(literal 2 binary64))))
(/.f64 (-.f64 (*.f64 (*.f64 (neg.f64 x) (/.f64 x (-.f64 x y))) (neg.f64 (pow.f64 (-.f64 x y) #s(literal 2 binary64)))) (*.f64 (neg.f64 (-.f64 x y)) (*.f64 (neg.f64 y) y))) (*.f64 (neg.f64 (-.f64 x y)) (neg.f64 (pow.f64 (-.f64 x y) #s(literal 2 binary64)))))
(/.f64 (-.f64 (*.f64 (*.f64 (neg.f64 x) (/.f64 x (-.f64 x y))) (pow.f64 (-.f64 x y) #s(literal 2 binary64))) (*.f64 (neg.f64 (-.f64 x y)) (*.f64 y y))) (pow.f64 (neg.f64 (-.f64 x y)) #s(literal 3 binary64)))
(/.f64 (-.f64 (*.f64 (*.f64 (/.f64 x (-.f64 x y)) x) (neg.f64 (-.f64 x y))) (*.f64 (-.f64 x y) (*.f64 (neg.f64 y) (/.f64 y (-.f64 x y))))) (neg.f64 (pow.f64 (-.f64 x y) #s(literal 2 binary64))))
(/.f64 (-.f64 (*.f64 (*.f64 (/.f64 x (-.f64 x y)) x) (-.f64 x y)) (*.f64 (-.f64 x y) (*.f64 (/.f64 y (-.f64 x y)) y))) (pow.f64 (-.f64 x y) #s(literal 2 binary64)))
(/.f64 (-.f64 (*.f64 (*.f64 (/.f64 x (-.f64 x y)) x) (neg.f64 (pow.f64 (-.f64 x y) #s(literal 2 binary64)))) (*.f64 (-.f64 x y) (*.f64 (neg.f64 y) y))) (*.f64 (-.f64 x y) (neg.f64 (pow.f64 (-.f64 x y) #s(literal 2 binary64)))))
(/.f64 (-.f64 (*.f64 (*.f64 (/.f64 x (-.f64 x y)) x) (pow.f64 (-.f64 x y) #s(literal 2 binary64))) (*.f64 (-.f64 x y) (*.f64 y y))) (pow.f64 (-.f64 x y) #s(literal 3 binary64)))
(/.f64 (-.f64 (*.f64 (*.f64 (neg.f64 x) x) (neg.f64 (-.f64 x y))) (*.f64 (neg.f64 (pow.f64 (-.f64 x y) #s(literal 2 binary64))) (*.f64 (neg.f64 y) (/.f64 y (-.f64 x y))))) (*.f64 (neg.f64 (pow.f64 (-.f64 x y) #s(literal 2 binary64))) (neg.f64 (-.f64 x y))))
(/.f64 (-.f64 (*.f64 (*.f64 (neg.f64 x) x) (-.f64 x y)) (*.f64 (neg.f64 (pow.f64 (-.f64 x y) #s(literal 2 binary64))) (*.f64 (/.f64 y (-.f64 x y)) y))) (*.f64 (neg.f64 (pow.f64 (-.f64 x y) #s(literal 2 binary64))) (-.f64 x y)))
(/.f64 (-.f64 (*.f64 (*.f64 (neg.f64 x) x) (neg.f64 (pow.f64 (-.f64 x y) #s(literal 2 binary64)))) (*.f64 (neg.f64 (pow.f64 (-.f64 x y) #s(literal 2 binary64))) (*.f64 (neg.f64 y) y))) (*.f64 (neg.f64 (pow.f64 (-.f64 x y) #s(literal 2 binary64))) (neg.f64 (pow.f64 (-.f64 x y) #s(literal 2 binary64)))))
(/.f64 (-.f64 (*.f64 (*.f64 (neg.f64 x) x) (pow.f64 (-.f64 x y) #s(literal 2 binary64))) (*.f64 (neg.f64 (pow.f64 (-.f64 x y) #s(literal 2 binary64))) (*.f64 y y))) (*.f64 (neg.f64 (pow.f64 (-.f64 x y) #s(literal 2 binary64))) (pow.f64 (-.f64 x y) #s(literal 2 binary64))))
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(+.f64 (*.f64 (*.f64 x x) (/.f64 (*.f64 (+.f64 x y) (-.f64 x y)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) (*.f64 (*.f64 y (+.f64 x y)) (/.f64 (*.f64 (+.f64 x y) (-.f64 x y)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))))
(+.f64 (*.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 y (-.f64 y x) (*.f64 x x)))) (*.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y (-.f64 y x) (*.f64 x x)))))
(+.f64 (*.f64 #s(literal 1 binary64) y) (*.f64 #s(literal 1 binary64) x))
(+.f64 (*.f64 (/.f64 (*.f64 (+.f64 x y) (-.f64 x y)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 x x (*.f64 y y))) (*.f64 (/.f64 (*.f64 (+.f64 x y) (-.f64 x y)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (*.f64 x y)))
(+.f64 (*.f64 (/.f64 (*.f64 (+.f64 x y) (-.f64 x y)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (*.f64 y (+.f64 x y))) (*.f64 (/.f64 (*.f64 (+.f64 x y) (-.f64 x y)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (*.f64 x x)))
(+.f64 (*.f64 (/.f64 (*.f64 (+.f64 x y) (-.f64 x y)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (*.f64 x x)) (*.f64 (/.f64 (*.f64 (+.f64 x y) (-.f64 x y)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (*.f64 y (+.f64 x y))))
(+.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y y (*.f64 (-.f64 x y) x))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 y y (*.f64 (-.f64 x y) x))))
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 y y (*.f64 (-.f64 x y) x))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y y (*.f64 (-.f64 x y) x))))
(+.f64 (*.f64 (/.f64 x (-.f64 x y)) x) (*.f64 (neg.f64 y) (/.f64 y (-.f64 x y))))
(+.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y (-.f64 y x) (*.f64 x x))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 y (-.f64 y x) (*.f64 x x))))
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 y (-.f64 y x) (*.f64 x x))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y (-.f64 y x) (*.f64 x x))))
(+.f64 x (*.f64 y #s(literal 1 binary64)))
(+.f64 x y)
(+.f64 y x)
#s(approx (- x y) (neg.f64 y))
(neg.f64 (neg.f64 #s(approx (- x y) (neg.f64 y))))
(neg.f64 y)
#s(approx (/ (+ x y) (- x y)) (-.f64 (*.f64 (/.f64 #s(literal -2 binary64) y) x) #s(literal 1 binary64)))
(*.f64 (/.f64 (fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal 1 binary64)) (fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal 1 binary64))) (/.f64 (-.f64 (*.f64 (/.f64 #s(literal -2 binary64) y) x) #s(literal 1 binary64)) #s(literal 1 binary64)))
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (*.f64 (/.f64 #s(literal -2 binary64) y) x) #s(literal 2 binary64)) (fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal 1 binary64))) (/.f64 (pow.f64 (*.f64 (/.f64 #s(literal -2 binary64) y) x) #s(literal 2 binary64)) (fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal 1 binary64)))) (*.f64 (pow.f64 (fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal 1 binary64)) #s(literal -1 binary64)))) (+.f64 (/.f64 (pow.f64 (*.f64 (/.f64 #s(literal -2 binary64) y) x) #s(literal 2 binary64)) (fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal 1 binary64))) (pow.f64 (fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal 1 binary64)) #s(literal -1 binary64))))
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (*.f64 (/.f64 #s(literal -2 binary64) y) x) #s(literal 3 binary64)) (fma.f64 #s(literal 4 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal 1 binary64)))) (/.f64 (pow.f64 (*.f64 (/.f64 #s(literal -2 binary64) y) x) #s(literal 3 binary64)) (fma.f64 #s(literal 4 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal 1 binary64))))) (*.f64 (pow.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal 1 binary64))) #s(literal -1 binary64)) (pow.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal 1 binary64))) #s(literal -1 binary64)))) (+.f64 (/.f64 (pow.f64 (*.f64 (/.f64 #s(literal -2 binary64) y) x) #s(literal 3 binary64)) (fma.f64 #s(literal 4 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal 1 binary64)))) (pow.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal 1 binary64))) #s(literal -1 binary64))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 (/.f64 #s(literal -2 binary64) y) x) #s(literal 2 binary64)) (fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (pow.f64 (fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (*.f64 (/.f64 #s(literal -2 binary64) y) x) #s(literal 2 binary64)) (fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal 1 binary64))) (/.f64 (pow.f64 (*.f64 (/.f64 #s(literal -2 binary64) y) x) #s(literal 2 binary64)) (fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal 1 binary64))) (fma.f64 (pow.f64 (fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 (/.f64 (pow.f64 (*.f64 (/.f64 #s(literal -2 binary64) y) x) #s(literal 2 binary64)) (fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal 1 binary64))) (pow.f64 (fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal 1 binary64)) #s(literal -1 binary64))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 (/.f64 #s(literal -2 binary64) y) x) #s(literal 3 binary64)) (fma.f64 #s(literal 4 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal 1 binary64)))) #s(literal 3 binary64)) (pow.f64 (pow.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal 1 binary64))) #s(literal -1 binary64)) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (*.f64 (/.f64 #s(literal -2 binary64) y) x) #s(literal 3 binary64)) (fma.f64 #s(literal 4 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal 1 binary64)))) (/.f64 (pow.f64 (*.f64 (/.f64 #s(literal -2 binary64) y) x) #s(literal 3 binary64)) (fma.f64 #s(literal 4 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal 1 binary64)))) (fma.f64 (pow.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal 1 binary64))) #s(literal -1 binary64)) (pow.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal 1 binary64))) #s(literal -1 binary64)) (*.f64 (/.f64 (pow.f64 (*.f64 (/.f64 #s(literal -2 binary64) y) x) #s(literal 3 binary64)) (fma.f64 #s(literal 4 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal 1 binary64)))) (pow.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal 1 binary64))) #s(literal -1 binary64))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal -1 binary64)))) (neg.f64 (fma.f64 #s(literal 2 binary64) (/.f64 x y) #s(literal -1 binary64))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (/.f64 #s(literal -2 binary64) y) x) #s(literal 3 binary64)) #s(literal 1 binary64)))) (neg.f64 (neg.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal 1 binary64))))))
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 (/.f64 #s(literal -2 binary64) y) x) #s(literal 2 binary64)) (fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal 1 binary64))) (fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal 1 binary64))) (pow.f64 (fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal 1 binary64)) #s(literal 2 binary64)))
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 (/.f64 #s(literal -2 binary64) y) x) #s(literal 3 binary64)) (fma.f64 #s(literal 4 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal 1 binary64)))) (*.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal 1 binary64))) #s(literal 1 binary64))) (*.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal 1 binary64))) (fma.f64 #s(literal 4 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal 1 binary64)))))
(/.f64 (neg.f64 (fma.f64 #s(literal 4 binary64) (pow.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 (neg.f64 (-.f64 (pow.f64 (*.f64 (/.f64 #s(literal -2 binary64) y) x) #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal 1 binary64)))))
(/.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal -1 binary64)) (fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal 1 binary64)))
(/.f64 (-.f64 (pow.f64 (*.f64 (/.f64 #s(literal -2 binary64) y) x) #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal 4 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal 1 binary64))))
(neg.f64 (/.f64 (neg.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal -1 binary64))) (fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal 1 binary64))))
(neg.f64 (/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (/.f64 #s(literal -2 binary64) y) x) #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 #s(literal 4 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal 1 binary64)))))
(neg.f64 (/.f64 (fma.f64 #s(literal 4 binary64) (pow.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))))
(neg.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (/.f64 #s(literal -2 binary64) y) x) #s(literal 3 binary64)) #s(literal 1 binary64)) (neg.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal 1 binary64))))))
(-.f64 (/.f64 (pow.f64 (*.f64 (/.f64 #s(literal -2 binary64) y) x) #s(literal 2 binary64)) (fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal 1 binary64))) (pow.f64 (fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal 1 binary64)) #s(literal -1 binary64)))
(-.f64 (/.f64 (pow.f64 (*.f64 (/.f64 #s(literal -2 binary64) y) x) #s(literal 3 binary64)) (fma.f64 #s(literal 4 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal 1 binary64)))) (pow.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal 1 binary64))) #s(literal -1 binary64)))
(-.f64 (*.f64 (/.f64 #s(literal -2 binary64) y) x) #s(literal 1 binary64))
(*.f64 (*.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) y)) x)
(*.f64 (*.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -2 binary64) y))
(*.f64 (*.f64 (/.f64 #s(literal -2 binary64) y) x) #s(literal 1 binary64))
(*.f64 (/.f64 #s(literal -2 binary64) y) x)
(*.f64 #s(literal -2 binary64) (*.f64 (/.f64 x y) #s(literal 1 binary64)))
(*.f64 #s(literal -2 binary64) (/.f64 x y))
(*.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -2 binary64) y) x))
(*.f64 x (/.f64 #s(literal -2 binary64) y))
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 1 binary64)) (neg.f64 y))
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) x)) (neg.f64 y))
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) x)) y)
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) x)) y)
(/.f64 (*.f64 #s(literal 2 binary64) x) (neg.f64 y))
(/.f64 (*.f64 #s(literal -2 binary64) x) y)
(neg.f64 (*.f64 x (/.f64 #s(literal 2 binary64) y)))
(neg.f64 (*.f64 (/.f64 #s(literal 2 binary64) y) x))
(neg.f64 (*.f64 #s(literal 2 binary64) (/.f64 x y)))
(*.f64 (/.f64 #s(literal -2 binary64) y) #s(literal 1 binary64))
(/.f64 #s(literal 2 binary64) (neg.f64 y))
(/.f64 #s(literal -2 binary64) y)
(neg.f64 (*.f64 (/.f64 #s(literal 2 binary64) y) #s(literal 1 binary64)))
(neg.f64 (/.f64 #s(literal 2 binary64) y))

eval88.0ms (2.1%)

Memory
-11.8MiB live, 170.6MiB allocated; 53ms collecting garbage
Compiler

Compiled 19 910 to 1 784 computations (91% saved)

prune13.0ms (0.3%)

Memory
-2.5MiB live, 43.0MiB allocated; 5ms collecting garbage
Pruning

7 alts after pruning (2 fresh and 5 done)

PrunedKeptTotal
New6371638
Fresh011
Picked145
Done011
Total6387645
Accuracy
100.0%
Counts
645 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
29.2%
(/.f64 (/.f64 (*.f64 (*.f64 (-.f64 x y) (+.f64 y x)) (+.f64 y x)) (*.f64 (-.f64 x y) (+.f64 y x))) (-.f64 x y))
100.0%
(/.f64 (+.f64 x y) (-.f64 x y))
45.1%
(/.f64 (+.f64 x y) #s(approx (- x y) (neg.f64 y)))
100.0%
(+.f64 (/.f64 y (-.f64 x y)) (/.f64 x (-.f64 x y)))
45.6%
#s(approx (/ (+ x y) (- x y)) (fma.f64 (/.f64 x y) #s(literal -2 binary64) #s(literal -1 binary64)))
55.4%
#s(approx (/ (+ x y) (- x y)) #s(literal 1 binary64))
44.4%
#s(approx (/ (+ x y) (- x y)) #s(literal -1 binary64))
Compiler

Compiled 83 to 50 computations (39.8% saved)

simplify254.0ms (6.1%)

Memory
25.5MiB live, 298.4MiB allocated; 53ms collecting garbage
Algorithm
egg-herbie
Localize:

Found 7 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 (-.f64 x y) (+.f64 y x))
cost-diff0
(*.f64 (*.f64 (-.f64 x y) (+.f64 y x)) (+.f64 y x))
cost-diff0
(/.f64 (/.f64 (*.f64 (*.f64 (-.f64 x y) (+.f64 y x)) (+.f64 y x)) (*.f64 (-.f64 x y) (+.f64 y x))) (-.f64 x y))
cost-diff16
(/.f64 (*.f64 (*.f64 (-.f64 x y) (+.f64 y x)) (+.f64 y x)) (*.f64 (-.f64 x y) (+.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)))
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01695
02579
15873
223765
396763
4632663
0847963
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
#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 (*.f64 (*.f64 (-.f64 x y) (+.f64 y x)) (+.f64 y x)) (*.f64 (-.f64 x y) (+.f64 y x))) (-.f64 x y))
(/.f64 (*.f64 (*.f64 (-.f64 x y) (+.f64 y x)) (+.f64 y x)) (*.f64 (-.f64 x y) (+.f64 y x)))
(*.f64 (*.f64 (-.f64 x y) (+.f64 y x)) (+.f64 y x))
(*.f64 (-.f64 x y) (+.f64 y x))
(-.f64 x y)
x
y
(+.f64 y x)
Outputs
#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 (*.f64 (*.f64 (-.f64 x y) (+.f64 y x)) (+.f64 y x)) (*.f64 (-.f64 x y) (+.f64 y x))) (-.f64 x y))
(/.f64 (+.f64 y x) (-.f64 x y))
(/.f64 (*.f64 (*.f64 (-.f64 x y) (+.f64 y x)) (+.f64 y x)) (*.f64 (-.f64 x y) (+.f64 y x)))
(+.f64 y x)
(*.f64 (*.f64 (-.f64 x y) (+.f64 y x)) (+.f64 y x))
(*.f64 (*.f64 (+.f64 y x) (-.f64 x y)) (+.f64 y x))
(*.f64 (-.f64 x y) (+.f64 y x))
(*.f64 (+.f64 y x) (-.f64 x y))
(-.f64 x y)
x
y
(+.f64 y x)

localize45.0ms (1.1%)

Memory
-14.1MiB live, 93.8MiB allocated; 18ms collecting garbage
Localize:

Found 7 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(*.f64 (-.f64 x y) (+.f64 y x))
accuracy0.021816259768442016
(/.f64 (/.f64 (*.f64 (*.f64 (-.f64 x y) (+.f64 y x)) (+.f64 y x)) (*.f64 (-.f64 x y) (+.f64 y x))) (-.f64 x y))
accuracy0.0859375
(*.f64 (*.f64 (-.f64 x y) (+.f64 y x)) (+.f64 y x))
accuracy43.86835230045194
(/.f64 (*.f64 (*.f64 (-.f64 x y) (+.f64 y x)) (+.f64 y x)) (*.f64 (-.f64 x y) (+.f64 y x)))
accuracy0.0
(fma.f64 (/.f64 x y) #s(literal -2 binary64) #s(literal -1 binary64))
accuracy0.0
(/.f64 x y)
accuracy34.79288104700352
#s(approx (/ (+ x y) (- x y)) (fma.f64 (/.f64 x y) #s(literal -2 binary64) #s(literal -1 binary64)))
Samples
32.0ms256×0valid
Compiler

Compiled 91 to 17 computations (81.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 16.0ms
ival-div: 6.0ms (37.6% of total)
ival-mult: 5.0ms (31.3% of total)
ival-add: 4.0ms (25.1% of total)
ival-sub: 1.0ms (6.3% of total)
ival-true: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series49.0ms (1.2%)

Memory
-20.4MiB live, 26.0MiB allocated; 5ms collecting garbage
Counts
7 → 64
Calls
Call 1
Inputs
#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 (*.f64 (-.f64 x y) (+.f64 y x)) (+.f64 y x)) (*.f64 (-.f64 x y) (+.f64 y x)))
(/.f64 (/.f64 (*.f64 (*.f64 (-.f64 x y) (+.f64 y x)) (+.f64 y x)) (*.f64 (-.f64 x y) (+.f64 y x))) (-.f64 x y))
(*.f64 (*.f64 (-.f64 x y) (+.f64 y x)) (+.f64 y x))
(*.f64 (-.f64 x 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)
y
(+ x y)
(* -1 (pow y 3))
(+ (* -1 (pow y 3)) (* x (+ (* -2 (pow y 2)) (pow y 2))))
(+ (* -1 (pow y 3)) (* x (+ (* -2 (pow y 2)) (+ (* x (+ (* -1 y) (* 2 y))) (pow y 2)))))
(+ (* -1 (pow y 3)) (* x (+ (* -2 (pow y 2)) (+ (* x (+ x (+ (* -1 y) (* 2 y)))) (pow y 2)))))
(* -1 (pow y 2))
(+ (* -1 (pow y 2)) (* x (+ y (* -1 y))))
(+ (* -1 (pow y 2)) (* x (+ x (+ y (* -1 y)))))
1
(- (+ 1 (/ y x)) (* -1 (/ y x)))
(- (+ 1 (+ (/ y x) (/ (* y (- y (* -1 y))) (pow x 2)))) (* -1 (/ y x)))
(- (+ 1 (+ (/ y x) (/ (* (pow y 2) (- y (* -1 y))) (pow x 3)))) (+ (* -1 (/ y x)) (* -1 (/ (* y (- y (* -1 y))) (pow x 2)))))
(* -2 (/ x y))
(* -1 (* x (+ (* 2 (/ 1 y)) (/ 1 x))))
x
(* x (+ 1 (/ y x)))
(pow x 3)
(* (pow x 3) (+ 1 (+ (* -1 (/ y x)) (* 2 (/ y x)))))
(* (pow x 3) (+ 1 (+ (* -2 (/ (pow y 2) (pow x 2))) (+ (* -1 (/ y x)) (+ (* 2 (/ y x)) (/ (pow y 2) (pow x 2)))))))
(* (pow x 3) (+ 1 (+ (* -2 (/ (pow y 2) (pow x 2))) (+ (* -1 (/ y x)) (+ (* -1 (/ (pow y 3) (pow x 3))) (+ (* 2 (/ y x)) (/ (pow y 2) (pow x 2))))))))
(pow x 2)
(* (pow x 2) (+ 1 (+ (* -1 (/ y x)) (/ y x))))
(* (pow x 2) (+ 1 (+ (* -1 (/ y x)) (+ (* -1 (/ (pow y 2) (pow x 2))) (/ y x)))))
(+ 1 (* -1 (/ (+ (* -1 (- y (* -1 y))) (* -1 (/ (* y (- y (* -1 y))) x))) x)))
(+ 1 (* -1 (/ (+ (* -1 (- y (* -1 y))) (* -1 (/ (+ (* y (- y (* -1 y))) (/ (* (pow y 2) (- y (* -1 y))) x)) x))) x)))
(* -1 (* x (+ (/ 1 x) (* 2 (/ 1 y)))))
(* -1 (* x (- (* -1 (/ y x)) 1)))
(* -1 (* (pow x 3) (- (+ (* -2 (/ y x)) (/ y x)) 1)))
(* -1 (* (pow x 3) (- (* -1 (/ (+ (* -2 (/ (pow y 2) x)) (+ (* -1 (+ y (* -2 y))) (/ (pow y 2) x))) x)) 1)))
(* -1 (* (pow x 3) (- (* -1 (/ (+ (* -1 (+ y (* -2 y))) (* -1 (/ (+ (* -1 (+ (* -2 (pow y 2)) (pow y 2))) (/ (pow y 3) x)) x))) x)) 1)))
(* (pow x 2) (+ 1 (* -1 (/ (+ (* -1 (+ y (* -1 y))) (/ (pow y 2) x)) x))))
(+ 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)))))
(/ (+ (* -2 x) (* -1 y)) y)
(+ (* y (+ (* -1 (pow x 2)) (* 2 (pow x 2)))) (pow x 3))
(+ (* y (+ (* -1 (pow x 2)) (+ (* 2 (pow x 2)) (* y (+ x (* -2 x)))))) (pow x 3))
(+ (* y (+ (* -1 (pow x 2)) (+ (* 2 (pow x 2)) (* y (+ x (+ (* -2 x) (* -1 y))))))) (pow x 3))
(+ (* y (+ x (* -1 x))) (pow x 2))
(+ (* y (+ x (+ (* -1 x) (* -1 y)))) (pow x 2))
(- (* -1 (/ x y)) (+ 1 (/ x y)))
(- (+ (* -1 (/ x y)) (/ (* x (- (* -1 x) x)) (pow y 2))) (+ 1 (/ x y)))
(- (+ (* -1 (/ x y)) (/ (* (pow x 2) (- (* -1 x) x)) (pow y 3))) (+ 1 (+ (* -1 (/ (* x (- (* -1 x) x)) (pow y 2))) (/ x y))))
(* y (+ 1 (/ x y)))
(* (pow y 3) (- (+ (* -2 (/ x y)) (/ x y)) 1))
(* (pow y 3) (- (+ (* -2 (/ x y)) (+ (* -1 (/ (pow x 2) (pow y 2))) (+ (* 2 (/ (pow x 2) (pow y 2))) (/ x y)))) 1))
(* (pow y 3) (- (+ (* -2 (/ x y)) (+ (* -1 (/ (pow x 2) (pow y 2))) (+ (* 2 (/ (pow x 2) (pow y 2))) (+ (/ x y) (/ (pow x 3) (pow y 3)))))) 1))
(* (pow y 2) (- (+ (* -1 (/ x y)) (/ x y)) 1))
(* (pow y 2) (- (+ (* -1 (/ x y)) (+ (/ x y) (/ (pow x 2) (pow y 2)))) 1))
(- (* -1 (/ (- x (* -1 x)) y)) 1)
(- (* -1 (/ (- (+ x (/ (* x (- x (* -1 x))) y)) (* -1 x)) y)) 1)
(- (* -1 (/ (- (+ x (* -1 (/ (- (* -1 (/ (* (pow x 2) (- x (* -1 x))) y)) (* x (- x (* -1 x)))) y))) (* -1 x)) y)) 1)
(* -1 (* y (- (* -1 (/ x y)) 1)))
(* -1 (* (pow y 3) (+ 1 (* -1 (/ (+ x (* -2 x)) y)))))
(* -1 (* (pow y 3) (+ 1 (* -1 (/ (+ x (+ (* -2 x) (* -1 (/ (+ (* -2 (pow x 2)) (pow x 2)) y)))) y)))))
(* -1 (* (pow y 3) (+ 1 (* -1 (/ (+ x (+ (* -2 x) (* -1 (/ (+ (* -2 (pow x 2)) (+ (* -1 (/ (pow x 3) y)) (pow x 2))) y)))) y)))))
(* (pow y 2) (- (* -1 (/ (+ x (* -1 x)) y)) 1))
(* (pow y 2) (- (* -1 (/ (+ x (+ (* -1 x) (* -1 (/ (pow x 2) y)))) y)) 1))
Calls

6 calls:

TimeVariablePointExpression
43.0ms
y
@inf
((/ (+ x y) (- x y)) (+ (* (/ x y) -2) -1) (/ x y) (/ (* (* (- x y) (+ y x)) (+ y x)) (* (- x y) (+ y x))) (/ (/ (* (* (- x y) (+ y x)) (+ y x)) (* (- x y) (+ y x))) (- x y)) (* (* (- x y) (+ y x)) (+ y x)) (* (- x y) (+ y x)))
1.0ms
x
@-inf
((/ (+ x y) (- x y)) (+ (* (/ x y) -2) -1) (/ x y) (/ (* (* (- x y) (+ y x)) (+ y x)) (* (- x y) (+ y x))) (/ (/ (* (* (- x y) (+ y x)) (+ y x)) (* (- x y) (+ y x))) (- x y)) (* (* (- x y) (+ y x)) (+ y x)) (* (- x y) (+ y x)))
1.0ms
y
@-inf
((/ (+ x y) (- x y)) (+ (* (/ x y) -2) -1) (/ x y) (/ (* (* (- x y) (+ y x)) (+ y x)) (* (- x y) (+ y x))) (/ (/ (* (* (- x y) (+ y x)) (+ y x)) (* (- x y) (+ y x))) (- x y)) (* (* (- x y) (+ y x)) (+ y x)) (* (- x y) (+ y x)))
1.0ms
x
@inf
((/ (+ x y) (- x y)) (+ (* (/ x y) -2) -1) (/ x y) (/ (* (* (- x y) (+ y x)) (+ y x)) (* (- x y) (+ y x))) (/ (/ (* (* (- x y) (+ y x)) (+ y x)) (* (- x y) (+ y x))) (- x y)) (* (* (- x y) (+ y x)) (+ y x)) (* (- x y) (+ y x)))
1.0ms
x
@0
((/ (+ x y) (- x y)) (+ (* (/ x y) -2) -1) (/ x y) (/ (* (* (- x y) (+ y x)) (+ y x)) (* (- x y) (+ y x))) (/ (/ (* (* (- x y) (+ y x)) (+ y x)) (* (- x y) (+ y x))) (- x y)) (* (* (- x y) (+ y x)) (+ y x)) (* (- x y) (+ y x)))

simplify286.0ms (6.8%)

Memory
-15.3MiB live, 348.1MiB allocated; 106ms collecting garbage
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0311951
11098753
25141705
08711666
Stop Event
iter limit
node limit
Counts
64 → 62
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)
y
(+ x y)
(* -1 (pow y 3))
(+ (* -1 (pow y 3)) (* x (+ (* -2 (pow y 2)) (pow y 2))))
(+ (* -1 (pow y 3)) (* x (+ (* -2 (pow y 2)) (+ (* x (+ (* -1 y) (* 2 y))) (pow y 2)))))
(+ (* -1 (pow y 3)) (* x (+ (* -2 (pow y 2)) (+ (* x (+ x (+ (* -1 y) (* 2 y)))) (pow y 2)))))
(* -1 (pow y 2))
(+ (* -1 (pow y 2)) (* x (+ y (* -1 y))))
(+ (* -1 (pow y 2)) (* x (+ x (+ y (* -1 y)))))
1
(- (+ 1 (/ y x)) (* -1 (/ y x)))
(- (+ 1 (+ (/ y x) (/ (* y (- y (* -1 y))) (pow x 2)))) (* -1 (/ y x)))
(- (+ 1 (+ (/ y x) (/ (* (pow y 2) (- y (* -1 y))) (pow x 3)))) (+ (* -1 (/ y x)) (* -1 (/ (* y (- y (* -1 y))) (pow x 2)))))
(* -2 (/ x y))
(* -1 (* x (+ (* 2 (/ 1 y)) (/ 1 x))))
x
(* x (+ 1 (/ y x)))
(pow x 3)
(* (pow x 3) (+ 1 (+ (* -1 (/ y x)) (* 2 (/ y x)))))
(* (pow x 3) (+ 1 (+ (* -2 (/ (pow y 2) (pow x 2))) (+ (* -1 (/ y x)) (+ (* 2 (/ y x)) (/ (pow y 2) (pow x 2)))))))
(* (pow x 3) (+ 1 (+ (* -2 (/ (pow y 2) (pow x 2))) (+ (* -1 (/ y x)) (+ (* -1 (/ (pow y 3) (pow x 3))) (+ (* 2 (/ y x)) (/ (pow y 2) (pow x 2))))))))
(pow x 2)
(* (pow x 2) (+ 1 (+ (* -1 (/ y x)) (/ y x))))
(* (pow x 2) (+ 1 (+ (* -1 (/ y x)) (+ (* -1 (/ (pow y 2) (pow x 2))) (/ y x)))))
(+ 1 (* -1 (/ (+ (* -1 (- y (* -1 y))) (* -1 (/ (* y (- y (* -1 y))) x))) x)))
(+ 1 (* -1 (/ (+ (* -1 (- y (* -1 y))) (* -1 (/ (+ (* y (- y (* -1 y))) (/ (* (pow y 2) (- y (* -1 y))) x)) x))) x)))
(* -1 (* x (+ (/ 1 x) (* 2 (/ 1 y)))))
(* -1 (* x (- (* -1 (/ y x)) 1)))
(* -1 (* (pow x 3) (- (+ (* -2 (/ y x)) (/ y x)) 1)))
(* -1 (* (pow x 3) (- (* -1 (/ (+ (* -2 (/ (pow y 2) x)) (+ (* -1 (+ y (* -2 y))) (/ (pow y 2) x))) x)) 1)))
(* -1 (* (pow x 3) (- (* -1 (/ (+ (* -1 (+ y (* -2 y))) (* -1 (/ (+ (* -1 (+ (* -2 (pow y 2)) (pow y 2))) (/ (pow y 3) x)) x))) x)) 1)))
(* (pow x 2) (+ 1 (* -1 (/ (+ (* -1 (+ y (* -1 y))) (/ (pow y 2) x)) x))))
(+ 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)))))
(/ (+ (* -2 x) (* -1 y)) y)
(+ (* y (+ (* -1 (pow x 2)) (* 2 (pow x 2)))) (pow x 3))
(+ (* y (+ (* -1 (pow x 2)) (+ (* 2 (pow x 2)) (* y (+ x (* -2 x)))))) (pow x 3))
(+ (* y (+ (* -1 (pow x 2)) (+ (* 2 (pow x 2)) (* y (+ x (+ (* -2 x) (* -1 y))))))) (pow x 3))
(+ (* y (+ x (* -1 x))) (pow x 2))
(+ (* y (+ x (+ (* -1 x) (* -1 y)))) (pow x 2))
(- (* -1 (/ x y)) (+ 1 (/ x y)))
(- (+ (* -1 (/ x y)) (/ (* x (- (* -1 x) x)) (pow y 2))) (+ 1 (/ x y)))
(- (+ (* -1 (/ x y)) (/ (* (pow x 2) (- (* -1 x) x)) (pow y 3))) (+ 1 (+ (* -1 (/ (* x (- (* -1 x) x)) (pow y 2))) (/ x y))))
(* y (+ 1 (/ x y)))
(* (pow y 3) (- (+ (* -2 (/ x y)) (/ x y)) 1))
(* (pow y 3) (- (+ (* -2 (/ x y)) (+ (* -1 (/ (pow x 2) (pow y 2))) (+ (* 2 (/ (pow x 2) (pow y 2))) (/ x y)))) 1))
(* (pow y 3) (- (+ (* -2 (/ x y)) (+ (* -1 (/ (pow x 2) (pow y 2))) (+ (* 2 (/ (pow x 2) (pow y 2))) (+ (/ x y) (/ (pow x 3) (pow y 3)))))) 1))
(* (pow y 2) (- (+ (* -1 (/ x y)) (/ x y)) 1))
(* (pow y 2) (- (+ (* -1 (/ x y)) (+ (/ x y) (/ (pow x 2) (pow y 2)))) 1))
(- (* -1 (/ (- x (* -1 x)) y)) 1)
(- (* -1 (/ (- (+ x (/ (* x (- x (* -1 x))) y)) (* -1 x)) y)) 1)
(- (* -1 (/ (- (+ x (* -1 (/ (- (* -1 (/ (* (pow x 2) (- x (* -1 x))) y)) (* x (- x (* -1 x)))) y))) (* -1 x)) y)) 1)
(* -1 (* y (- (* -1 (/ x y)) 1)))
(* -1 (* (pow y 3) (+ 1 (* -1 (/ (+ x (* -2 x)) y)))))
(* -1 (* (pow y 3) (+ 1 (* -1 (/ (+ x (+ (* -2 x) (* -1 (/ (+ (* -2 (pow x 2)) (pow x 2)) y)))) y)))))
(* -1 (* (pow y 3) (+ 1 (* -1 (/ (+ x (+ (* -2 x) (* -1 (/ (+ (* -2 (pow x 2)) (+ (* -1 (/ (pow x 3) y)) (pow x 2))) y)))) y)))))
(* (pow y 2) (- (* -1 (/ (+ x (* -1 x)) y)) 1))
(* (pow y 2) (- (* -1 (/ (+ x (+ (* -1 x) (* -1 (/ (pow x 2) y)))) y)) 1))
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)
(-.f64 (*.f64 (/.f64 (fma.f64 (/.f64 #s(literal -2 binary64) y) x #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)
(-.f64 (*.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal -2 binary64)) (*.f64 y y)) x (/.f64 #s(literal -2 binary64) y)) x) #s(literal 1 binary64))
(/ x y)
(/.f64 x y)
y
(+ x y)
(+.f64 y x)
(* -1 (pow y 3))
(pow.f64 (neg.f64 y) #s(literal 3 binary64))
(+ (* -1 (pow y 3)) (* x (+ (* -2 (pow y 2)) (pow y 2))))
(fma.f64 (*.f64 y x) (neg.f64 y) (pow.f64 (neg.f64 y) #s(literal 3 binary64)))
(+ (* -1 (pow y 3)) (* x (+ (* -2 (pow y 2)) (+ (* x (+ (* -1 y) (* 2 y))) (pow y 2)))))
(fma.f64 (fma.f64 (neg.f64 y) y (*.f64 y x)) x (pow.f64 (neg.f64 y) #s(literal 3 binary64)))
(+ (* -1 (pow y 3)) (* x (+ (* -2 (pow y 2)) (+ (* x (+ x (+ (* -1 y) (* 2 y)))) (pow y 2)))))
(fma.f64 (fma.f64 (neg.f64 y) y (*.f64 (+.f64 y x) x)) x (pow.f64 (neg.f64 y) #s(literal 3 binary64)))
(* -1 (pow y 2))
(*.f64 (neg.f64 y) y)
(+ (* -1 (pow y 2)) (* x (+ y (* -1 y))))
(*.f64 (neg.f64 y) y)
(+ (* -1 (pow y 2)) (* x (+ x (+ y (* -1 y)))))
(fma.f64 (neg.f64 y) y (*.f64 x x))
1
#s(literal 1 binary64)
(- (+ 1 (/ y x)) (* -1 (/ y x)))
(fma.f64 (/.f64 y x) #s(literal 2 binary64) #s(literal 1 binary64))
(- (+ 1 (+ (/ y x) (/ (* y (- y (* -1 y))) (pow x 2)))) (* -1 (/ y x)))
(fma.f64 (/.f64 (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64)) x) y #s(literal 1 binary64))
(- (+ 1 (+ (/ y x) (/ (* (pow y 2) (- y (* -1 y))) (pow x 3)))) (+ (* -1 (/ y x)) (* -1 (/ (* y (- y (* -1 y))) (pow x 2)))))
(+.f64 (fma.f64 (*.f64 (/.f64 y (pow.f64 x #s(literal 3 binary64))) #s(literal 2 binary64)) (*.f64 y y) (*.f64 (/.f64 (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64)) x) y)) #s(literal 1 binary64))
(* -2 (/ x y))
(*.f64 (/.f64 x y) #s(literal -2 binary64))
(* -1 (* x (+ (* 2 (/ 1 y)) (/ 1 x))))
(fma.f64 (/.f64 x y) #s(literal -2 binary64) #s(literal -1 binary64))
x
(* x (+ 1 (/ y x)))
(fma.f64 (/.f64 y x) x x)
(pow x 3)
(pow.f64 x #s(literal 3 binary64))
(* (pow x 3) (+ 1 (+ (* -1 (/ y x)) (* 2 (/ y x)))))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 (/.f64 y x) #s(literal 1 binary64)))
(* (pow x 3) (+ 1 (+ (* -2 (/ (pow y 2) (pow x 2))) (+ (* -1 (/ y x)) (+ (* 2 (/ y x)) (/ (pow y 2) (pow x 2)))))))
(*.f64 (+.f64 (/.f64 (+.f64 (/.f64 (*.f64 (neg.f64 y) y) x) y) x) #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64)))
(* (pow x 3) (+ 1 (+ (* -2 (/ (pow y 2) (pow x 2))) (+ (* -1 (/ y x)) (+ (* -1 (/ (pow y 3) (pow x 3))) (+ (* 2 (/ y x)) (/ (pow y 2) (pow x 2))))))))
(*.f64 (+.f64 (+.f64 (/.f64 (+.f64 (/.f64 (*.f64 (neg.f64 y) y) x) y) x) (pow.f64 (/.f64 (neg.f64 y) x) #s(literal 3 binary64))) #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64)))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (+ (* -1 (/ y x)) (/ y x))))
(*.f64 x x)
(* (pow x 2) (+ 1 (+ (* -1 (/ y x)) (+ (* -1 (/ (pow y 2) (pow x 2))) (/ y x)))))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y (/.f64 y x) #s(literal 0 binary64)) x)) x) x)
(+ 1 (* -1 (/ (+ (* -1 (- y (* -1 y))) (* -1 (/ (* y (- y (* -1 y))) x))) x)))
(fma.f64 (/.f64 (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64)) x) y #s(literal 1 binary64))
(+ 1 (* -1 (/ (+ (* -1 (- y (* -1 y))) (* -1 (/ (+ (* y (- y (* -1 y))) (/ (* (pow y 2) (- y (* -1 y))) x)) x))) x)))
(fma.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64)) (*.f64 x x)) y (/.f64 #s(literal 2 binary64) x)) y #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 (* x (- (* -1 (/ y x)) 1)))
(*.f64 (neg.f64 x) (-.f64 (/.f64 (neg.f64 y) x) #s(literal 1 binary64)))
(* -1 (* (pow x 3) (- (+ (* -2 (/ y x)) (/ y x)) 1)))
(*.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (-.f64 (/.f64 (neg.f64 y) x) #s(literal 1 binary64)))
(* -1 (* (pow x 3) (- (* -1 (/ (+ (* -2 (/ (pow y 2) x)) (+ (* -1 (+ y (* -2 y))) (/ (pow y 2) x))) x)) 1)))
(*.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (-.f64 (/.f64 (neg.f64 (+.f64 (/.f64 (*.f64 (neg.f64 y) y) x) y)) x) #s(literal 1 binary64)))
(* -1 (* (pow x 3) (- (* -1 (/ (+ (* -1 (+ y (* -2 y))) (* -1 (/ (+ (* -1 (+ (* -2 (pow y 2)) (pow y 2))) (/ (pow y 3) x)) x))) x)) 1)))
(*.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (-.f64 (/.f64 (-.f64 y (/.f64 (fma.f64 y y (/.f64 (pow.f64 y #s(literal 3 binary64)) x)) x)) (neg.f64 x)) #s(literal 1 binary64)))
(* (pow x 2) (+ 1 (* -1 (/ (+ (* -1 (+ y (* -1 y))) (/ (pow y 2) x)) x))))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y (/.f64 y x) #s(literal 0 binary64)) x)) x) 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 (fma.f64 (/.f64 #s(literal 2 binary64) x) y #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 (fma.f64 (/.f64 (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64)) (*.f64 x x)) y (/.f64 #s(literal 2 binary64) x)) y #s(literal 1 binary64))
(/ (+ (* -2 x) (* -1 y)) y)
(/.f64 (fma.f64 #s(literal -2 binary64) x (neg.f64 y)) y)
(+ (* y (+ (* -1 (pow x 2)) (* 2 (pow x 2)))) (pow x 3))
(fma.f64 (*.f64 x x) y (pow.f64 x #s(literal 3 binary64)))
(+ (* y (+ (* -1 (pow x 2)) (+ (* 2 (pow x 2)) (* y (+ x (* -2 x)))))) (pow x 3))
(fma.f64 (fma.f64 (neg.f64 y) x (*.f64 x x)) y (pow.f64 x #s(literal 3 binary64)))
(+ (* y (+ (* -1 (pow x 2)) (+ (* 2 (pow x 2)) (* y (+ x (+ (* -2 x) (* -1 y))))))) (pow x 3))
(fma.f64 (fma.f64 (-.f64 (neg.f64 x) y) y (*.f64 x x)) y (pow.f64 x #s(literal 3 binary64)))
(+ (* y (+ x (* -1 x))) (pow x 2))
(*.f64 x x)
(+ (* y (+ x (+ (* -1 x) (* -1 y)))) (pow x 2))
(fma.f64 (neg.f64 y) y (*.f64 x x))
(- (* -1 (/ x y)) (+ 1 (/ x y)))
(fma.f64 (/.f64 x y) #s(literal -2 binary64) #s(literal -1 binary64))
(- (+ (* -1 (/ x y)) (/ (* x (- (* -1 x) x)) (pow y 2))) (+ 1 (/ x y)))
(fma.f64 (*.f64 (/.f64 (/.f64 x y) y) #s(literal -2 binary64)) x (fma.f64 (/.f64 x y) #s(literal -2 binary64) #s(literal -1 binary64)))
(- (+ (* -1 (/ x y)) (/ (* (pow x 2) (- (* -1 x) x)) (pow y 3))) (+ 1 (+ (* -1 (/ (* x (- (* -1 x) x)) (pow y 2))) (/ x y))))
(-.f64 (-.f64 (fma.f64 (*.f64 x x) (*.f64 (/.f64 x (pow.f64 y #s(literal 3 binary64))) #s(literal -2 binary64)) (/.f64 (neg.f64 x) y)) (/.f64 (*.f64 x (fma.f64 (/.f64 #s(literal 2 binary64) y) x #s(literal 1 binary64))) y)) #s(literal 1 binary64))
(* y (+ 1 (/ x y)))
(fma.f64 (/.f64 x y) y y)
(* (pow y 3) (- (+ (* -2 (/ x y)) (/ x y)) 1))
(*.f64 (-.f64 (/.f64 (neg.f64 x) y) #s(literal 1 binary64)) (pow.f64 y #s(literal 3 binary64)))
(* (pow y 3) (- (+ (* -2 (/ x y)) (+ (* -1 (/ (pow x 2) (pow y 2))) (+ (* 2 (/ (pow x 2) (pow y 2))) (/ x y)))) 1))
(*.f64 (-.f64 (/.f64 (fma.f64 x (/.f64 x y) (neg.f64 x)) y) #s(literal 1 binary64)) (pow.f64 y #s(literal 3 binary64)))
(* (pow y 3) (- (+ (* -2 (/ x y)) (+ (* -1 (/ (pow x 2) (pow y 2))) (+ (* 2 (/ (pow x 2) (pow y 2))) (+ (/ x y) (/ (pow x 3) (pow y 3)))))) 1))
(*.f64 (-.f64 (+.f64 (/.f64 (fma.f64 x (/.f64 x y) (neg.f64 x)) y) (pow.f64 (/.f64 x y) #s(literal 3 binary64))) #s(literal 1 binary64)) (pow.f64 y #s(literal 3 binary64)))
(* (pow y 2) (- (+ (* -1 (/ x y)) (/ x y)) 1))
(*.f64 (neg.f64 y) y)
(* (pow y 2) (- (+ (* -1 (/ x y)) (+ (/ x y) (/ (pow x 2) (pow y 2)))) 1))
(*.f64 (*.f64 (-.f64 (*.f64 x (/.f64 (/.f64 x y) y)) #s(literal 1 binary64)) y) y)
(- (* -1 (/ (- x (* -1 x)) y)) 1)
(fma.f64 (/.f64 x y) #s(literal -2 binary64) #s(literal -1 binary64))
(- (* -1 (/ (- (+ x (/ (* x (- x (* -1 x))) y)) (* -1 x)) y)) 1)
(-.f64 (/.f64 (fma.f64 x (fma.f64 (/.f64 #s(literal 2 binary64) y) x #s(literal 1 binary64)) x) (neg.f64 y)) #s(literal 1 binary64))
(- (* -1 (/ (- (+ x (* -1 (/ (- (* -1 (/ (* (pow x 2) (- x (* -1 x))) y)) (* x (- x (* -1 x)))) y))) (* -1 x)) y)) 1)
(-.f64 (/.f64 (-.f64 (/.f64 (fma.f64 x (*.f64 (*.f64 (/.f64 #s(literal 2 binary64) y) x) x) (*.f64 (*.f64 x x) #s(literal 2 binary64))) y) (*.f64 #s(literal -2 binary64) x)) (neg.f64 y)) #s(literal 1 binary64))
(* -1 (* y (- (* -1 (/ x y)) 1)))
(*.f64 (-.f64 (/.f64 (neg.f64 x) y) #s(literal 1 binary64)) (neg.f64 y))
(* -1 (* (pow y 3) (+ 1 (* -1 (/ (+ x (* -2 x)) y)))))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) (pow.f64 (neg.f64 y) #s(literal 3 binary64)))
(* -1 (* (pow y 3) (+ 1 (* -1 (/ (+ x (+ (* -2 x) (* -1 (/ (+ (* -2 (pow x 2)) (pow x 2)) y)))) y)))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (/.f64 x y) (neg.f64 x)) y)) (pow.f64 (neg.f64 y) #s(literal 3 binary64)))
(* -1 (* (pow y 3) (+ 1 (* -1 (/ (+ x (+ (* -2 x) (* -1 (/ (+ (* -2 (pow x 2)) (+ (* -1 (/ (pow x 3) y)) (pow x 2))) y)))) y)))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (neg.f64 x) (/.f64 (fma.f64 (neg.f64 x) x (/.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) y)) y)) y)) (pow.f64 (neg.f64 y) #s(literal 3 binary64)))
(* (pow y 2) (- (* -1 (/ (+ x (* -1 x)) y)) 1))
(*.f64 (neg.f64 y) y)
(* (pow y 2) (- (* -1 (/ (+ x (+ (* -1 x) (* -1 (/ (pow x 2) y)))) y)) 1))
(*.f64 (*.f64 (-.f64 (*.f64 x (/.f64 (/.f64 x y) y)) #s(literal 1 binary64)) y) y)

rewrite265.0ms (6.3%)

Memory
3.6MiB live, 324.6MiB allocated; 97ms collecting garbage
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01683
02583
110949
2104849
0847949
Stop Event
iter limit
node limit
iter limit
Counts
7 → 791
Calls
Call 1
Inputs
#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 (*.f64 (-.f64 x y) (+.f64 y x)) (+.f64 y x)) (*.f64 (-.f64 x y) (+.f64 y x)))
(/.f64 (/.f64 (*.f64 (*.f64 (-.f64 x y) (+.f64 y x)) (+.f64 y x)) (*.f64 (-.f64 x y) (+.f64 y x))) (-.f64 x y))
(*.f64 (*.f64 (-.f64 x y) (+.f64 y x)) (+.f64 y x))
(*.f64 (-.f64 x y) (+.f64 y x))
Outputs
#s(approx (/ (+ x y) (- x y)) (fma.f64 #s(literal -2 binary64) (/.f64 x y) #s(literal -1 binary64)))
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (/.f64 x y)) #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -2 binary64) (/.f64 x y)) #s(literal -1 binary64))) (/.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (/.f64 x y)) #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -2 binary64) (/.f64 x y)) #s(literal -1 binary64)))) (*.f64 (pow.f64 (-.f64 (*.f64 #s(literal -2 binary64) (/.f64 x y)) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (-.f64 (*.f64 #s(literal -2 binary64) (/.f64 x y)) #s(literal -1 binary64)) #s(literal -1 binary64)))) (+.f64 (/.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (/.f64 x y)) #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -2 binary64) (/.f64 x y)) #s(literal -1 binary64))) (pow.f64 (-.f64 (*.f64 #s(literal -2 binary64) (/.f64 x y)) #s(literal -1 binary64)) #s(literal -1 binary64))))
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (/.f64 x y)) #s(literal 3 binary64)) (fma.f64 #s(literal 4 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) (/.f64 x y))))) (/.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (/.f64 x y)) #s(literal 3 binary64)) (fma.f64 #s(literal 4 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) (/.f64 x y)))))) (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 4 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) (/.f64 x y))))) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 4 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) (/.f64 x y))))))) (-.f64 (/.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (/.f64 x y)) #s(literal 3 binary64)) (fma.f64 #s(literal 4 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) (/.f64 x y))))) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 4 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) (/.f64 x y)))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (/.f64 x y)) #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -2 binary64) (/.f64 x y)) #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 (pow.f64 (-.f64 (*.f64 #s(literal -2 binary64) (/.f64 x y)) #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (/.f64 x y)) #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -2 binary64) (/.f64 x y)) #s(literal -1 binary64))) (/.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (/.f64 x y)) #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -2 binary64) (/.f64 x y)) #s(literal -1 binary64))) (fma.f64 (pow.f64 (-.f64 (*.f64 #s(literal -2 binary64) (/.f64 x y)) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (-.f64 (*.f64 #s(literal -2 binary64) (/.f64 x y)) #s(literal -1 binary64)) #s(literal -1 binary64)) (*.f64 (/.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (/.f64 x y)) #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -2 binary64) (/.f64 x y)) #s(literal -1 binary64))) (pow.f64 (-.f64 (*.f64 #s(literal -2 binary64) (/.f64 x y)) #s(literal -1 binary64)) #s(literal -1 binary64))))))
(/.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (/.f64 x y)) #s(literal 3 binary64)) (fma.f64 #s(literal 4 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) (/.f64 x y))))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 4 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) (/.f64 x y))))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (/.f64 x y)) #s(literal 3 binary64)) (fma.f64 #s(literal 4 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) (/.f64 x y))))) (/.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (/.f64 x y)) #s(literal 3 binary64)) (fma.f64 #s(literal 4 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) (/.f64 x y))))) (-.f64 (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 4 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) (/.f64 x y))))) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 4 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) (/.f64 x y)))))) (*.f64 (/.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (/.f64 x y)) #s(literal 3 binary64)) (fma.f64 #s(literal 4 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) (/.f64 x y))))) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 4 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) (/.f64 x y)))))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 #s(literal -2 binary64) (/.f64 x y)) #s(literal 2 binary64)))) (neg.f64 (-.f64 #s(literal -1 binary64) (*.f64 #s(literal -2 binary64) (/.f64 x y)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal -1 binary64)))) (neg.f64 (neg.f64 (-.f64 (*.f64 #s(literal -2 binary64) (/.f64 x y)) #s(literal -1 binary64)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal -8 binary64) (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal -1 binary64)))) (neg.f64 (neg.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) (/.f64 x y)))))))
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (/.f64 x y)) #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -2 binary64) (/.f64 x y)) #s(literal -1 binary64))) (*.f64 (-.f64 (*.f64 #s(literal -2 binary64) (/.f64 x y)) #s(literal -1 binary64)) #s(literal 1 binary64))) (*.f64 (-.f64 (*.f64 #s(literal -2 binary64) (/.f64 x y)) #s(literal -1 binary64)) (-.f64 (*.f64 #s(literal -2 binary64) (/.f64 x y)) #s(literal -1 binary64))))
(/.f64 (fma.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (/.f64 x y)) #s(literal 3 binary64)) (fma.f64 #s(literal 4 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) (/.f64 x y)))) (*.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) (/.f64 x y)))) #s(literal -1 binary64))) (*.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) (/.f64 x y)))) (fma.f64 #s(literal 4 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) (/.f64 x y))))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 #s(literal -2 binary64) (/.f64 x y)) #s(literal 2 binary64))) (-.f64 #s(literal -1 binary64) (*.f64 #s(literal -2 binary64) (/.f64 x y))))
(/.f64 (neg.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal -1 binary64))) (neg.f64 (-.f64 (*.f64 #s(literal -2 binary64) (/.f64 x y)) #s(literal -1 binary64))))
(/.f64 (neg.f64 (fma.f64 #s(literal -8 binary64) (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal -1 binary64))) (neg.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 x y) (-.f64 (*.f64 #s(literal 4 binary64) (/.f64 x y)) #s(literal 2 binary64))))))
(/.f64 (neg.f64 (fma.f64 #s(literal -8 binary64) (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal -1 binary64))) (neg.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) (/.f64 x y))))))
(/.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal -1 binary64)) (-.f64 (*.f64 #s(literal -2 binary64) (/.f64 x y)) #s(literal -1 binary64)))
(/.f64 (fma.f64 #s(literal -8 binary64) (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 x y))))))
(/.f64 (fma.f64 #s(literal -8 binary64) (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 x y) (-.f64 (*.f64 #s(literal 4 binary64) (/.f64 x y)) #s(literal 2 binary64)))))
(/.f64 (fma.f64 #s(literal -8 binary64) (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal -1 binary64)) (fma.f64 #s(literal 4 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) (/.f64 x y)))))
(neg.f64 (/.f64 (neg.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal -1 binary64))) (-.f64 (*.f64 #s(literal -2 binary64) (/.f64 x y)) #s(literal -1 binary64))))
(neg.f64 (/.f64 (neg.f64 (fma.f64 #s(literal -8 binary64) (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal -1 binary64))) (fma.f64 #s(literal 4 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) (/.f64 x y))))))
(neg.f64 (/.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal -1 binary64)) (neg.f64 (-.f64 (*.f64 #s(literal -2 binary64) (/.f64 x y)) #s(literal -1 binary64)))))
(neg.f64 (/.f64 (fma.f64 #s(literal -8 binary64) (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal -1 binary64)) (neg.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) (/.f64 x y)))))))
(fma.f64 (*.f64 #s(literal 2 binary64) (/.f64 x y)) #s(literal -1 binary64) #s(literal -1 binary64))
(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 x (/.f64 #s(literal -2 binary64) y) #s(literal -1 binary64))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (*.f64 #s(literal -2 binary64) (/.f64 x y)))) (/.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (/.f64 x y)) #s(literal 2 binary64)) (-.f64 #s(literal -1 binary64) (*.f64 #s(literal -2 binary64) (/.f64 x y)))))
(-.f64 (/.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (/.f64 x y)) #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -2 binary64) (/.f64 x y)) #s(literal -1 binary64))) (pow.f64 (-.f64 (*.f64 #s(literal -2 binary64) (/.f64 x y)) #s(literal -1 binary64)) #s(literal -1 binary64)))
(-.f64 #s(literal -1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 x y)))
(+.f64 (/.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (/.f64 x y)) #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 x y) (-.f64 (*.f64 #s(literal 4 binary64) (/.f64 x y)) #s(literal 2 binary64))))) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 x y) (-.f64 (*.f64 #s(literal 4 binary64) (/.f64 x y)) #s(literal 2 binary64))))))
(+.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 x y) (-.f64 (*.f64 #s(literal 4 binary64) (/.f64 x y)) #s(literal 2 binary64))))) (/.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (/.f64 x y)) #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 x y) (-.f64 (*.f64 #s(literal 4 binary64) (/.f64 x y)) #s(literal 2 binary64))))))
(+.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 4 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) (/.f64 x y))))) (/.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (/.f64 x y)) #s(literal 3 binary64)) (fma.f64 #s(literal 4 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) (/.f64 x y))))))
(+.f64 (/.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (/.f64 x y)) #s(literal 3 binary64)) (fma.f64 #s(literal 4 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) (/.f64 x y))))) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 4 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) (/.f64 x y))))))
(+.f64 (*.f64 #s(literal -2 binary64) (/.f64 x y)) #s(literal -1 binary64))
(+.f64 #s(literal -1 binary64) (*.f64 #s(literal -2 binary64) (/.f64 x y)))
(/.f64 (neg.f64 x) (neg.f64 y))
(/.f64 x y)
(neg.f64 (/.f64 (neg.f64 x) y))
(*.f64 (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 y x) (-.f64 x y)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) (fma.f64 y (+.f64 y x) (*.f64 x x)))
(*.f64 (*.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (+.f64 y x) #s(literal 2 binary64)) (*.f64 (+.f64 y x) (-.f64 y x)))) (-.f64 y x))
(*.f64 (*.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (+.f64 y x) #s(literal 2 binary64)) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (fma.f64 (-.f64 x y) x (*.f64 y y)))
(*.f64 (*.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (+.f64 y x) #s(literal 2 binary64)) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (fma.f64 y (-.f64 y x) (*.f64 x x)))
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(fma.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 (fma.f64 (-.f64 x y) x (*.f64 y y)) x) (*.f64 (-.f64 x y) y))
(fma.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 (fma.f64 y (-.f64 y x) (*.f64 x x)) y) (*.f64 (-.f64 x y) x))
(fma.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 (fma.f64 y (-.f64 y x) (*.f64 x x)) x) (*.f64 (-.f64 x y) y))
(fma.f64 (/.f64 (*.f64 (-.f64 x y) y) (-.f64 x y)) (-.f64 x y) (*.f64 (/.f64 (*.f64 (-.f64 x y) x) (-.f64 x y)) (-.f64 x y)))
(fma.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (-.f64 x y) x (*.f64 y y))) (-.f64 x y) (*.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 x y) x (*.f64 y y))) (-.f64 x y)))
(fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 y (-.f64 y x) (*.f64 x x))) (-.f64 x y) (*.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y (-.f64 y x) (*.f64 x x))) (-.f64 x y)))
(fma.f64 (/.f64 (*.f64 (*.f64 (+.f64 y x) y) (-.f64 x y)) (*.f64 (+.f64 y x) (-.f64 x y))) (-.f64 x y) (*.f64 (/.f64 (*.f64 (*.f64 x (+.f64 y x)) (-.f64 x y)) (*.f64 (+.f64 y x) (-.f64 x y))) (-.f64 x y)))
(fma.f64 (fabs.f64 x) (fabs.f64 x) (fma.f64 (neg.f64 y) x (*.f64 (-.f64 x y) y)))
(fma.f64 (fabs.f64 x) (fabs.f64 x) (*.f64 (neg.f64 (fabs.f64 y)) (fabs.f64 y)))
(fma.f64 (fabs.f64 x) (fabs.f64 x) (*.f64 y (neg.f64 y)))
(fma.f64 (fabs.f64 x) (fabs.f64 x) (*.f64 (neg.f64 y) y))
(fma.f64 #s(literal 1 binary64) (*.f64 (-.f64 x y) x) (*.f64 (-.f64 x y) y))
(fma.f64 #s(literal 1 binary64) (*.f64 (-.f64 x y) y) (*.f64 (-.f64 x y) x))
(fma.f64 (neg.f64 x) (neg.f64 x) (fma.f64 (neg.f64 y) x (*.f64 (-.f64 x y) y)))
(fma.f64 (neg.f64 x) (neg.f64 x) (*.f64 (neg.f64 (fabs.f64 y)) (fabs.f64 y)))
(fma.f64 (neg.f64 x) (neg.f64 x) (*.f64 y (neg.f64 y)))
(fma.f64 (neg.f64 x) (neg.f64 x) (*.f64 (neg.f64 y) y))
(fma.f64 (-.f64 x y) (/.f64 (*.f64 (-.f64 x y) y) (-.f64 x y)) (*.f64 (-.f64 x y) (/.f64 (*.f64 (-.f64 x y) x) (-.f64 x y))))
(fma.f64 (-.f64 x y) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (-.f64 x y) x (*.f64 y y))) (*.f64 (-.f64 x y) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 x y) x (*.f64 y y)))))
(fma.f64 (-.f64 x y) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 y (-.f64 y x) (*.f64 x x))) (*.f64 (-.f64 x y) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y (-.f64 y x) (*.f64 x x)))))
(fma.f64 (-.f64 x y) (/.f64 (*.f64 (*.f64 (+.f64 y x) y) (-.f64 x y)) (*.f64 (+.f64 y x) (-.f64 x y))) (*.f64 (-.f64 x y) (/.f64 (*.f64 (*.f64 x (+.f64 y x)) (-.f64 x y)) (*.f64 (+.f64 y x) (-.f64 x y)))))
(fma.f64 (-.f64 x y) y (*.f64 (-.f64 x y) x))
(fma.f64 (-.f64 x y) x (*.f64 (-.f64 x y) y))
(fma.f64 y (-.f64 x y) (*.f64 (-.f64 x y) x))
(fma.f64 x (+.f64 x (neg.f64 y)) (*.f64 (-.f64 x y) y))
(fma.f64 x (-.f64 x y) (*.f64 (-.f64 x y) y))
(fma.f64 x x (fma.f64 (neg.f64 y) x (*.f64 (-.f64 x y) y)))
(fma.f64 x x (*.f64 (neg.f64 (fabs.f64 y)) (fabs.f64 y)))
(fma.f64 x x (*.f64 y (neg.f64 y)))
(fma.f64 x x (*.f64 (neg.f64 y) y))
(-.f64 (fma.f64 (-.f64 x y) y (*.f64 x x)) (*.f64 y x))
(-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x (*.f64 y y))) (/.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 x x (*.f64 y y))))
(-.f64 (/.f64 (pow.f64 (*.f64 (-.f64 x y) y) #s(literal 2 binary64)) (*.f64 (-.f64 x y) (-.f64 y x))) (/.f64 (pow.f64 (*.f64 (-.f64 x y) x) #s(literal 2 binary64)) (*.f64 (-.f64 x y) (-.f64 y x))))
(-.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))))) (/.f64 (pow.f64 y #s(literal 6 binary64)) (+.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))))))
(-.f64 (*.f64 (-.f64 x y) x) (*.f64 (neg.f64 (-.f64 x y)) y))
(-.f64 (*.f64 (-.f64 x y) y) (*.f64 (neg.f64 (-.f64 x y)) x))
(-.f64 (*.f64 x x) (-.f64 (*.f64 y x) (*.f64 (-.f64 x y) y)))
(-.f64 (*.f64 x x) (*.f64 y y))
(+.f64 (fma.f64 (-.f64 x y) y (*.f64 x x)) (*.f64 (neg.f64 y) x))
(+.f64 (*.f64 (/.f64 (*.f64 (-.f64 x y) y) (-.f64 x y)) (-.f64 x y)) (*.f64 (/.f64 (*.f64 (-.f64 x y) x) (-.f64 x y)) (-.f64 x y)))
(+.f64 (*.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (-.f64 x y) x (*.f64 y y))) (-.f64 x y)) (*.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 x y) x (*.f64 y y))) (-.f64 x y)))
(+.f64 (*.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 y (-.f64 y x) (*.f64 x x))) (-.f64 x y)) (*.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y (-.f64 y x) (*.f64 x x))) (-.f64 x y)))
(+.f64 (*.f64 (/.f64 (*.f64 (*.f64 (+.f64 y x) y) (-.f64 x y)) (*.f64 (+.f64 y x) (-.f64 x y))) (-.f64 x y)) (*.f64 (/.f64 (*.f64 (*.f64 x (+.f64 y x)) (-.f64 x y)) (*.f64 (+.f64 y x) (-.f64 x y))) (-.f64 x y)))
(+.f64 (*.f64 (-.f64 x y) (/.f64 (*.f64 (-.f64 x y) y) (-.f64 x y))) (*.f64 (-.f64 x y) (/.f64 (*.f64 (-.f64 x y) x) (-.f64 x y))))
(+.f64 (*.f64 (-.f64 x y) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (-.f64 x y) x (*.f64 y y)))) (*.f64 (-.f64 x y) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 x y) x (*.f64 y y)))))
(+.f64 (*.f64 (-.f64 x y) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 y (-.f64 y x) (*.f64 x x)))) (*.f64 (-.f64 x y) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y (-.f64 y x) (*.f64 x x)))))
(+.f64 (*.f64 (-.f64 x y) (/.f64 (*.f64 (*.f64 (+.f64 y x) y) (-.f64 x y)) (*.f64 (+.f64 y x) (-.f64 x y)))) (*.f64 (-.f64 x y) (/.f64 (*.f64 (*.f64 x (+.f64 y x)) (-.f64 x y)) (*.f64 (+.f64 y x) (-.f64 x y)))))
(+.f64 (/.f64 (pow.f64 (*.f64 (-.f64 x y) y) #s(literal 3 binary64)) (+.f64 (pow.f64 (*.f64 (-.f64 x y) y) #s(literal 2 binary64)) (*.f64 (*.f64 (-.f64 x y) x) (-.f64 (*.f64 (-.f64 x y) x) (*.f64 (-.f64 x y) y))))) (/.f64 (pow.f64 (*.f64 (-.f64 x y) x) #s(literal 3 binary64)) (+.f64 (pow.f64 (*.f64 (-.f64 x y) y) #s(literal 2 binary64)) (*.f64 (*.f64 (-.f64 x y) x) (-.f64 (*.f64 (-.f64 x y) x) (*.f64 (-.f64 x y) y))))))
(+.f64 (*.f64 (-.f64 x y) x) (*.f64 (-.f64 x y) y))
(+.f64 (*.f64 (-.f64 x y) y) (*.f64 (-.f64 x y) x))
(+.f64 (*.f64 x x) (fma.f64 (neg.f64 y) x (*.f64 (-.f64 x y) y)))
(+.f64 (*.f64 x x) (*.f64 (neg.f64 (fabs.f64 y)) (fabs.f64 y)))
(+.f64 (*.f64 x x) (*.f64 y (neg.f64 y)))
(+.f64 (*.f64 x x) (*.f64 (neg.f64 y) y))

eval242.0ms (5.8%)

Memory
44.7MiB live, 317.7MiB allocated; 95ms collecting garbage
Compiler

Compiled 38 079 to 3 512 computations (90.8% saved)

prune54.0ms (1.3%)

Memory
-44.3MiB live, 65.1MiB allocated; 8ms collecting garbage
Pruning

7 alts after pruning (0 fresh and 7 done)

PrunedKeptTotal
New1 05101 051
Fresh000
Picked022
Done055
Total1 05171 058
Accuracy
100.0%
Counts
1 058 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
29.2%
(/.f64 (/.f64 (*.f64 (*.f64 (-.f64 x y) (+.f64 y x)) (+.f64 y x)) (*.f64 (-.f64 x y) (+.f64 y x))) (-.f64 x y))
100.0%
(/.f64 (+.f64 x y) (-.f64 x y))
45.1%
(/.f64 (+.f64 x y) #s(approx (- x y) (neg.f64 y)))
100.0%
(+.f64 (/.f64 y (-.f64 x y)) (/.f64 x (-.f64 x y)))
45.6%
#s(approx (/ (+ x y) (- x y)) (fma.f64 (/.f64 x y) #s(literal -2 binary64) #s(literal -1 binary64)))
55.4%
#s(approx (/ (+ x y) (- x y)) #s(literal 1 binary64))
44.4%
#s(approx (/ (+ x y) (- x y)) #s(literal -1 binary64))
Compiler

Compiled 181 to 81 computations (55.2% saved)

regimes8.0ms (0.2%)

Memory
31.0MiB live, 31.0MiB allocated; 0ms collecting garbage
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 (+.f64 x y) #s(approx (- x y) (neg.f64 y)))
#s(approx (/ (+ x y) (- x y)) (fma.f64 (/.f64 x y) #s(literal -2 binary64) #s(literal -1 binary64)))
(/.f64 (+.f64 x y) (-.f64 x y))
#s(approx (/ (+ x y) (- x y)) (-.f64 (*.f64 (/.f64 #s(literal -2 binary64) y) x) #s(literal 1 binary64)))
(+.f64 (/.f64 y (-.f64 x y)) (/.f64 x (-.f64 x y)))
(/.f64 (/.f64 (*.f64 (*.f64 (-.f64 x y) (+.f64 y x)) (+.f64 y x)) (*.f64 (-.f64 x y) (+.f64 y x))) (-.f64 x y))
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
100.0%1(/.f64 (+.f64 x y) (-.f64 x y))
100.0%1x
100.0%1y
Compiler

Compiled 9 to 9 computations (0% saved)

regimes8.0ms (0.2%)

Memory
-25.0MiB live, 20.9MiB allocated; 3ms collecting garbage
Counts
4 → 2
Calls
Call 1
Inputs
#s(approx (/ (+ x y) (- x y)) #s(literal -1 binary64))
#s(approx (/ (+ x y) (- x y)) #s(literal 1 binary64))
(/.f64 (+.f64 x y) #s(approx (- x y) (neg.f64 y)))
#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 x y) #s(literal -2 binary64) #s(literal -1 binary64)))
#s(approx (/ (+ x y) (- x y)) #s(literal 1 binary64))
Calls

3 calls:

4.0ms
x
2.0ms
y
1.0ms
(/.f64 (+.f64 x y) (-.f64 x y))
Results
AccuracySegmentsBranch
98.7%2(/.f64 (+.f64 x y) (-.f64 x y))
75.3%3x
79.4%3y
Compiler

Compiled 9 to 9 computations (0% saved)

regimes2.0ms (0%)

Memory
6.2MiB live, 6.2MiB allocated; 0ms collecting garbage
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 (+.f64 x y) #s(approx (- x y) (neg.f64 y)))
Outputs
(/.f64 (+.f64 x y) #s(approx (- x y) (neg.f64 y)))
#s(approx (/ (+ x y) (- x y)) #s(literal 1 binary64))
Calls

1 calls:

1.0ms
(/.f64 (+.f64 x y) (-.f64 x y))
Results
AccuracySegmentsBranch
98.2%2(/.f64 (+.f64 x y) (-.f64 x y))
Compiler

Compiled 7 to 5 computations (28.6% saved)

regimes1.0ms (0%)

Memory
5.1MiB live, 5.1MiB allocated; 0ms collecting garbage
Counts
2 → 2
Calls
Call 1
Inputs
#s(approx (/ (+ x y) (- x y)) #s(literal -1 binary64))
#s(approx (/ (+ x y) (- x y)) #s(literal 1 binary64))
Outputs
#s(approx (/ (+ x y) (- x y)) #s(literal -1 binary64))
#s(approx (/ (+ x y) (- x y)) #s(literal 1 binary64))
Calls

1 calls:

1.0ms
(/.f64 (+.f64 x y) (-.f64 x y))
Results
AccuracySegmentsBranch
98.2%2(/.f64 (+.f64 x y) (-.f64 x y))
Compiler

Compiled 7 to 5 computations (28.6% saved)

regimes3.0ms (0.1%)

Memory
14.1MiB live, 14.1MiB allocated; 0ms collecting garbage
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
y
1.0ms
x
1.0ms
(/.f64 (+.f64 x y) (-.f64 x y))
Results
AccuracySegmentsBranch
44.4%1x
44.4%1y
44.4%1(/.f64 (+.f64 x y) (-.f64 x y))
Compiler

Compiled 9 to 9 computations (0% saved)

bsearch0.0ms (0%)

Memory
1.2MiB live, 1.2MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-0.9999999969984195
0.9999920388397704
Compiler

Compiled 10 to 10 computations (0% saved)

bsearch0.0ms (0%)

Memory
0.9MiB live, 0.9MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-0.9999999969984195
0.9999920388397704
Compiler

Compiled 10 to 10 computations (0% saved)

bsearch16.0ms (0.4%)

Memory
-10.7MiB live, 35.7MiB allocated; 2ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
15.0ms
-0.9999999969984195
0.9999920388397704
Samples
5.0ms240×0valid
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)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

simplify11.0ms (0.3%)

Memory
20.4MiB live, 20.4MiB allocated; 0ms collecting garbage
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
026106
136106
238106
Stop Event
saturated
Calls
Call 1
Inputs
(/.f64 (+.f64 x y) (-.f64 x y))
(if (<=.f64 (/.f64 (+.f64 x y) (-.f64 x y)) #s(literal -1/2 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)) #s(literal 1 binary64)))
(if (<=.f64 (/.f64 (+.f64 x y) (-.f64 x y)) #s(literal -1/2 binary64)) (/.f64 (+.f64 x y) #s(approx (- x y) (neg.f64 y))) #s(approx (/ (+ x y) (- x y)) #s(literal 1 binary64)))
(if (<=.f64 (/.f64 (+.f64 x y) (-.f64 x y)) #s(literal -20240225331/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(approx (/ (+ x y) (- x y)) #s(literal -1 binary64)) #s(approx (/ (+ x y) (- x y)) #s(literal 1 binary64)))
#s(approx (/ (+ x y) (- x y)) #s(literal -1 binary64))
Outputs
(/.f64 (+.f64 x y) (-.f64 x y))
(if (<=.f64 (/.f64 (+.f64 x y) (-.f64 x y)) #s(literal -1/2 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)) #s(literal 1 binary64)))
(if (<=.f64 (/.f64 (+.f64 x y) (-.f64 x y)) #s(literal -1/2 binary64)) (/.f64 (+.f64 x y) #s(approx (- x y) (neg.f64 y))) #s(approx (/ (+ x y) (- x y)) #s(literal 1 binary64)))
(if (<=.f64 (/.f64 (+.f64 x y) (-.f64 x y)) #s(literal -20240225331/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 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))

derivations378.0ms (9%)

Memory
1.2MiB live, 327.4MiB allocated; 38ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0140402
1440364
21524315
36695315
08125287
03601160
111661048
23913980
08420904
Stop Event
done
iter limit
node limit
iter limit
node limit
Compiler

Compiled 106 to 26 computations (75.5% saved)

preprocess48.0ms (1.1%)

Memory
-5.1MiB live, 83.7MiB allocated; 11ms collecting garbage
Compiler

Compiled 252 to 78 computations (69% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated; 0ms collecting garbage

Profiling

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