Data.Number.Erf:$cinvnormcdf from erf-2.0.0.0, B

Time bar (total: 14.5s)

analyze24.0ms (0.2%)

Memory
-25.2MiB live, 50.9MiB allocated
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
0%0%99.9%0.1%0%0%0%1
0%0%99.9%0.1%0%0%0%2
50%50%50%0.1%0%0%0%3
50%50%50%0.1%0%0%0%4
62.5%62.4%37.5%0.1%0%0%0%5
68.8%68.7%31.2%0.1%0%0%0%6
78.1%78%21.9%0.1%0%0%0%7
82.8%82.7%17.2%0.1%0%0%0%8
88.3%88.2%11.7%0.1%0%0%0%9
91%90.9%9%0.1%0%0%0%10
93.9%93.9%6%0.1%0%0%0%11
95.4%95.3%4.6%0.1%0%0%0%12
Compiler

Compiled 13 to 11 computations (15.4% saved)

sample960.0ms (6.6%)

Memory
30.0MiB live, 1 336.6MiB allocated
Samples
745.0ms8 254×0valid
0.0ms3valid
Precisions
Click to see histograms. Total time spent on operations: 455.0ms
ival-div: 235.0ms (51.7% of total)
ival-mult: 126.0ms (27.7% of total)
ival-add: 41.0ms (9% of total)
ival-sub: 36.0ms (7.9% of total)
exact: 8.0ms (1.8% of total)
ival-true: 6.0ms (1.3% of total)
ival-assert: 3.0ms (0.7% of total)
adjust: 0.0ms (0% of total)
Bogosity

preprocess73.0ms (0.5%)

Memory
7.1MiB live, 90.0MiB allocated
Algorithm
egg-herbie
Rules
384×accelerator-lowering-fma.f32
384×accelerator-lowering-fma.f64
272×*-lowering-*.f32
272×*-lowering-*.f64
226×associate-*l*
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02874
16572
213268
326766
460266
5104766
6118366
7121166
8122166
9122566
0911
11711
22811
34311
48511
515811
627911
737511
858411
967411
1079611
1183211
1299111
13100011
0100010
Stop Event
iter limit
saturated
saturated
Calls
Call 1
Inputs
(- x (/ y (+ 1 (/ (* x y) 2))))
Outputs
(- x (/ y (+ 1 (/ (* x y) 2))))
(-.f64 x (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64)))))
Call 2
Inputs
(- x (/ y (+ 1 (/ (* x y) 2))))
(- (neg x) (/ y (+ 1 (/ (* (neg x) y) 2))))
(- x (/ (neg y) (+ 1 (/ (* x (neg y)) 2))))
(neg (- (neg x) (/ y (+ 1 (/ (* (neg x) y) 2)))))
(neg (- x (/ (neg y) (+ 1 (/ (* x (neg y)) 2)))))
(- y (/ x (+ 1 (/ (* y x) 2))))
Outputs
(- x (/ y (+ 1 (/ (* x y) 2))))
(+ x (/ y (+ (* x (* y -1/2)) -1)))
(- (neg x) (/ y (+ 1 (/ (* (neg x) y) 2))))
(- (/ y (+ (* x (* y 1/2)) -1)) x)
(- x (/ (neg y) (+ 1 (/ (* x (neg y)) 2))))
(+ x (/ y (+ 1 (* x (* y -1/2)))))
(neg (- (neg x) (/ y (+ 1 (/ (* (neg x) y) 2)))))
(+ x (/ y (+ 1 (* x (* y -1/2)))))
(neg (- x (/ (neg y) (+ 1 (/ (* x (neg y)) 2)))))
(- (/ y (+ (* x (* y 1/2)) -1)) x)
(- y (/ x (+ 1 (/ (* y x) 2))))
(+ y (/ x (+ (* x (* y -1/2)) -1)))

explain163.0ms (1.1%)

Memory
6.6MiB live, 200.9MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
200-0-(/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64))))
00-0-(/.f64 (*.f64 x y) #s(literal 2 binary64))
00-0-#s(literal 1 binary64)
00-0-(*.f64 x y)
00-0-(-.f64 x (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64)))))
00-0-(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64)))
00-0-#s(literal 2 binary64)
00-0-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
84.0ms512×0valid
Compiler

Compiled 108 to 40 computations (63% saved)

Precisions
Click to see histograms. Total time spent on operations: 67.0ms
ival-div: 33.0ms (49% of total)
ival-mult: 28.0ms (41.6% of total)
ival-sub: 2.0ms (3% of total)
ival-add: 2.0ms (3% of total)
exact: 1.0ms (1.5% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

eval0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Compiler

Compiled 2 to 2 computations (0% saved)

prune1.0ms (0%)

Memory
1.5MiB live, 1.5MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.9%
(-.f64 x (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64)))))
Compiler

Compiled 13 to 9 computations (30.8% saved)

simplify36.0ms (0.3%)

Memory
-1.1MiB live, 36.8MiB allocated
Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f64 (*.f64 x y) #s(literal 2 binary64))
cost-diff0
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64)))
cost-diff0
(/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64))))
cost-diff0
(-.f64 x (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64)))))
Rules
384×accelerator-lowering-fma.f32
384×accelerator-lowering-fma.f64
272×*-lowering-*.f32
272×*-lowering-*.f64
226×associate-*l*
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0939
11739
22839
34339
48539
515839
627939
737539
858439
967439
1079639
1183239
1299139
13100039
0100036
Stop Event
iter limit
saturated
Calls
Call 1
Inputs
(- x (/ y (+ 1 (/ (* x y) 2))))
x
(/ y (+ 1 (/ (* x y) 2)))
y
(+ 1 (/ (* x y) 2))
1
(/ (* x y) 2)
(* x y)
2
Outputs
(- x (/ y (+ 1 (/ (* x y) 2))))
(-.f64 x (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64)))))
x
(/ y (+ 1 (/ (* x y) 2)))
(/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64))))
y
(+ 1 (/ (* x y) 2))
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64)))
1
#s(literal 1 binary64)
(/ (* x y) 2)
(/.f64 (*.f64 x y) #s(literal 2 binary64))
(* x y)
(*.f64 x y)
2
#s(literal 2 binary64)

localize36.0ms (0.2%)

Memory
-34.9MiB live, 57.0MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64)))
accuracy100.0%
(*.f64 x y)
accuracy100.0%
(-.f64 x (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64)))))
accuracy92.5%
(/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64))))
Samples
18.0ms256×0valid
Compiler

Compiled 41 to 11 computations (73.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 10.0ms
ival-div: 5.0ms (48.8% of total)
ival-mult: 2.0ms (19.5% of total)
ival-sub: 1.0ms (9.8% of total)
ival-add: 1.0ms (9.8% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series8.0ms (0.1%)

Memory
23.5MiB live, 23.6MiB allocated
Counts
5 → 120
Calls
Call 1
Inputs
#<alt (- x (/ y (+ 1 (/ (* x y) 2))))>
#<alt (/ y (+ 1 (/ (* x y) 2)))>
#<alt (+ 1 (/ (* x y) 2))>
#<alt (/ (* x y) 2)>
#<alt (* x y)>
Outputs
#<alt (* -1 y)>
#<alt (- (* x (+ 1 (* 1/2 (pow y 2)))) y)>
#<alt (- (* x (+ 1 (+ (* -1/4 (* x (pow y 3))) (* 1/2 (pow y 2))))) y)>
#<alt (- (* x (+ 1 (+ (* 1/2 (pow y 2)) (* x (+ (* -1/4 (pow y 3)) (* 1/8 (* x (pow y 4)))))))) y)>
#<alt x>
#<alt (* x (- 1 (* 2 (/ 1 (pow x 2)))))>
#<alt (* x (- (+ 1 (/ 4 (* (pow x 3) y))) (* 2 (/ 1 (pow x 2)))))>
#<alt (* x (- (+ 1 (* 4 (/ 1 (* (pow x 3) y)))) (+ (* 8 (/ 1 (* (pow x 4) (pow y 2)))) (* 2 (/ 1 (pow x 2))))))>
#<alt x>
#<alt (* -1 (* x (- (* 2 (/ 1 (pow x 2))) 1)))>
#<alt (* -1 (* x (- (* 2 (/ 1 (pow x 2))) (+ 1 (/ 4 (* (pow x 3) y))))))>
#<alt (* -1 (* x (- (+ (* -1 (/ (- (* 4 (/ 1 y)) (* 8 (/ 1 (* x (pow y 2))))) (pow x 3))) (* 2 (/ 1 (pow x 2)))) 1)))>
#<alt x>
#<alt (+ x (* -1 y))>
#<alt (+ x (* y (- (* 1/2 (* x y)) 1)))>
#<alt (+ x (* y (- (* y (+ (* -1/4 (* (pow x 2) y)) (* 1/2 x))) 1)))>
#<alt (- x (* 2 (/ 1 x)))>
#<alt (- (+ x (* 4 (/ 1 (* (pow x 2) y)))) (* 2 (/ 1 x)))>
#<alt (- (+ x (/ 4 (* (pow x 2) y))) (+ (* 2 (/ 1 x)) (/ 8 (* (pow x 3) (pow y 2)))))>
#<alt (- (+ x (+ (* 16 (/ 1 (* (pow x 4) (pow y 3)))) (/ 4 (* (pow x 2) y)))) (+ (* 2 (/ 1 x)) (* 8 (/ 1 (* (pow x 3) (pow y 2))))))>
#<alt (- x (* 2 (/ 1 x)))>
#<alt (- (+ x (* 4 (/ 1 (* (pow x 2) y)))) (* 2 (/ 1 x)))>
#<alt (- (+ x (* -1 (/ (- (* 8 (/ 1 (* (pow x 3) y))) (* 4 (/ 1 (pow x 2)))) y))) (* 2 (/ 1 x)))>
#<alt (- (+ x (* -1 (/ (- (* -1 (/ (- (* 16 (/ 1 (* (pow x 4) y))) (* 8 (/ 1 (pow x 3)))) y)) (* 4 (/ 1 (pow x 2)))) y))) (* 2 (/ 1 x)))>
#<alt y>
#<alt (* y (+ 1 (* -1/2 (* x y))))>
#<alt (* y (+ 1 (* y (- (* 1/4 (* (pow x 2) y)) (* 1/2 x)))))>
#<alt (* y (+ 1 (* y (- (* y (- (* -1/8 (* (pow x 3) y)) (* -1/4 (pow x 2)))) (* 1/2 x)))))>
#<alt (/ 2 x)>
#<alt (- (* 2 (/ 1 x)) (* 4 (/ 1 (* (pow x 2) y))))>
#<alt (- (+ (* 2 (/ 1 x)) (/ 8 (* (pow x 3) (pow y 2)))) (/ 4 (* (pow x 2) y)))>
#<alt (- (+ (* 2 (/ 1 x)) (* 8 (/ 1 (* (pow x 3) (pow y 2))))) (+ (* 16 (/ 1 (* (pow x 4) (pow y 3)))) (/ 4 (* (pow x 2) y))))>
#<alt (/ 2 x)>
#<alt (- (* 2 (/ 1 x)) (* 4 (/ 1 (* (pow x 2) y))))>
#<alt (+ (* -1 (/ (- (* 4 (/ 1 (pow x 2))) (* 8 (/ 1 (* (pow x 3) y)))) y)) (* 2 (/ 1 x)))>
#<alt (+ (* -1 (/ (+ (* -1 (/ (- (* 8 (/ 1 (pow x 3))) (* 16 (/ 1 (* (pow x 4) y)))) y)) (* 4 (/ 1 (pow x 2)))) y)) (* 2 (/ 1 x)))>
#<alt y>
#<alt (+ y (* -1/2 (* x (pow y 2))))>
#<alt (+ y (* x (- (* 1/4 (* x (pow y 3))) (* 1/2 (pow y 2)))))>
#<alt (+ y (* x (- (* x (- (* -1/8 (* x (pow y 4))) (* -1/4 (pow y 3)))) (* 1/2 (pow y 2)))))>
#<alt (/ 2 x)>
#<alt (/ (- 2 (* 4 (/ 1 (* x y)))) x)>
#<alt (/ (- (+ 2 (/ 8 (* (pow x 2) (pow y 2)))) (/ 4 (* x y))) x)>
#<alt (/ (- (+ 2 (* 8 (/ 1 (* (pow x 2) (pow y 2))))) (+ (* 16 (/ 1 (* (pow x 3) (pow y 3)))) (/ 4 (* x y)))) x)>
#<alt (/ 2 x)>
#<alt (* -1 (/ (- (* 4 (/ 1 (* x y))) 2) x))>
#<alt (* -1 (/ (- (* -1 (/ (- (* 8 (/ 1 (* x (pow y 2)))) (* 4 (/ 1 y))) x)) 2) x))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 16 (/ 1 (* x (pow y 3)))) (* 8 (/ 1 (pow y 2)))) x)) (* 4 (/ 1 y))) x)) 2) x))>
#<alt 1>
#<alt (+ 1 (* 1/2 (* x y)))>
#<alt (+ 1 (* 1/2 (* x y)))>
#<alt (+ 1 (* 1/2 (* x y)))>
#<alt (* 1/2 (* x y))>
#<alt (* x (+ (* 1/2 y) (/ 1 x)))>
#<alt (* x (+ (* 1/2 y) (/ 1 x)))>
#<alt (* x (+ (* 1/2 y) (/ 1 x)))>
#<alt (* 1/2 (* x y))>
#<alt (* -1 (* x (- (* -1/2 y) (/ 1 x))))>
#<alt (* -1 (* x (- (* -1/2 y) (/ 1 x))))>
#<alt (* -1 (* x (- (* -1/2 y) (/ 1 x))))>
#<alt 1>
#<alt (+ 1 (* 1/2 (* x y)))>
#<alt (+ 1 (* 1/2 (* x y)))>
#<alt (+ 1 (* 1/2 (* x y)))>
#<alt (* 1/2 (* x y))>
#<alt (* y (+ (* 1/2 x) (/ 1 y)))>
#<alt (* y (+ (* 1/2 x) (/ 1 y)))>
#<alt (* y (+ (* 1/2 x) (/ 1 y)))>
#<alt (* 1/2 (* x y))>
#<alt (* -1 (* y (- (* -1/2 x) (/ 1 y))))>
#<alt (* -1 (* y (- (* -1/2 x) (/ 1 y))))>
#<alt (* -1 (* y (- (* -1/2 x) (/ 1 y))))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
Calls

30 calls:

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

rewrite376.0ms (2.6%)

Memory
-1.9MiB live, 593.4MiB allocated
Algorithm
batch-egg-rewrite
Rules
5 754×accelerator-lowering-fma.f32
5 754×accelerator-lowering-fma.f64
4 124×*-lowering-*.f32
4 124×*-lowering-*.f64
2 962×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0935
15835
249535
3687635
0853032
Stop Event
iter limit
node limit
Counts
5 → 279
Calls
Call 1
Inputs
(- x (/ y (+ 1 (/ (* x y) 2))))
(/ y (+ 1 (/ (* x y) 2)))
(+ 1 (/ (* x y) 2))
(/ (* x y) 2)
(* x y)
Outputs
(+.f64 x (/.f64 y (-.f64 #s(literal -1 binary64) (/.f64 x (/.f64 #s(literal 2 binary64) y)))))
(+.f64 (/.f64 y (-.f64 #s(literal -1 binary64) (/.f64 x (/.f64 #s(literal 2 binary64) y)))) x)
(+.f64 (/.f64 (*.f64 x (*.f64 x x)) (+.f64 (*.f64 x x) (*.f64 (/.f64 y (-.f64 #s(literal -1 binary64) (/.f64 x (/.f64 #s(literal 2 binary64) y)))) (-.f64 (/.f64 y (-.f64 #s(literal -1 binary64) (/.f64 x (/.f64 #s(literal 2 binary64) y)))) x)))) (neg.f64 (/.f64 (/.f64 (/.f64 (/.f64 y (-.f64 #s(literal -1 binary64) (/.f64 x (/.f64 #s(literal 2 binary64) y)))) (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 x (/.f64 #s(literal 2 binary64) y))) y)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 2 binary64) y))) y)) (+.f64 (*.f64 x x) (*.f64 (/.f64 y (-.f64 #s(literal -1 binary64) (/.f64 x (/.f64 #s(literal 2 binary64) y)))) (-.f64 (/.f64 y (-.f64 #s(literal -1 binary64) (/.f64 x (/.f64 #s(literal 2 binary64) y)))) x))))))
(+.f64 (/.f64 (*.f64 x x) (-.f64 x (/.f64 y (-.f64 #s(literal -1 binary64) (/.f64 x (/.f64 #s(literal 2 binary64) y)))))) (neg.f64 (/.f64 (/.f64 (/.f64 y (-.f64 #s(literal -1 binary64) (/.f64 x (/.f64 #s(literal 2 binary64) y)))) (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 x (/.f64 #s(literal 2 binary64) y))) y)) (-.f64 x (/.f64 y (-.f64 #s(literal -1 binary64) (/.f64 x (/.f64 #s(literal 2 binary64) y))))))))
(-.f64 x (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 2 binary64) y)))))
(-.f64 #s(literal 0 binary64) (-.f64 (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 2 binary64) y)))) x))
(-.f64 (/.f64 (*.f64 x (*.f64 x x)) (+.f64 (*.f64 x x) (*.f64 (/.f64 y (-.f64 #s(literal -1 binary64) (/.f64 x (/.f64 #s(literal 2 binary64) y)))) (-.f64 (/.f64 y (-.f64 #s(literal -1 binary64) (/.f64 x (/.f64 #s(literal 2 binary64) y)))) x)))) (/.f64 (/.f64 (/.f64 (/.f64 y (-.f64 #s(literal -1 binary64) (/.f64 x (/.f64 #s(literal 2 binary64) y)))) (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 x (/.f64 #s(literal 2 binary64) y))) y)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 2 binary64) y))) y)) (+.f64 (*.f64 x x) (*.f64 (/.f64 y (-.f64 #s(literal -1 binary64) (/.f64 x (/.f64 #s(literal 2 binary64) y)))) (-.f64 (/.f64 y (-.f64 #s(literal -1 binary64) (/.f64 x (/.f64 #s(literal 2 binary64) y)))) x)))))
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (/.f64 y (-.f64 #s(literal -1 binary64) (/.f64 x (/.f64 #s(literal 2 binary64) y)))))) (/.f64 (/.f64 (/.f64 y (-.f64 #s(literal -1 binary64) (/.f64 x (/.f64 #s(literal 2 binary64) y)))) (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 x (/.f64 #s(literal 2 binary64) y))) y)) (-.f64 x (/.f64 y (-.f64 #s(literal -1 binary64) (/.f64 x (/.f64 #s(literal 2 binary64) y)))))))
(-.f64 (+.f64 x #s(literal 0 binary64)) (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 2 binary64) y)))))
(fma.f64 x #s(literal 1 binary64) (/.f64 y (-.f64 #s(literal -1 binary64) (/.f64 x (/.f64 #s(literal 2 binary64) y)))))
(fma.f64 x (/.f64 x (-.f64 x (/.f64 y (-.f64 #s(literal -1 binary64) (/.f64 x (/.f64 #s(literal 2 binary64) y)))))) (neg.f64 (/.f64 (/.f64 (/.f64 y (-.f64 #s(literal -1 binary64) (/.f64 x (/.f64 #s(literal 2 binary64) y)))) (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 x (/.f64 #s(literal 2 binary64) y))) y)) (-.f64 x (/.f64 y (-.f64 #s(literal -1 binary64) (/.f64 x (/.f64 #s(literal 2 binary64) y))))))))
(fma.f64 x (/.f64 (*.f64 x x) (+.f64 (*.f64 x x) (*.f64 (/.f64 y (-.f64 #s(literal -1 binary64) (/.f64 x (/.f64 #s(literal 2 binary64) y)))) (-.f64 (/.f64 y (-.f64 #s(literal -1 binary64) (/.f64 x (/.f64 #s(literal 2 binary64) y)))) x)))) (neg.f64 (/.f64 (/.f64 (/.f64 (/.f64 y (-.f64 #s(literal -1 binary64) (/.f64 x (/.f64 #s(literal 2 binary64) y)))) (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 x (/.f64 #s(literal 2 binary64) y))) y)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 2 binary64) y))) y)) (+.f64 (*.f64 x x) (*.f64 (/.f64 y (-.f64 #s(literal -1 binary64) (/.f64 x (/.f64 #s(literal 2 binary64) y)))) (-.f64 (/.f64 y (-.f64 #s(literal -1 binary64) (/.f64 x (/.f64 #s(literal 2 binary64) y)))) x))))))
(fma.f64 y (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (/.f64 x (/.f64 #s(literal 2 binary64) y)))) x)
(fma.f64 #s(literal 1 binary64) x (/.f64 y (-.f64 #s(literal -1 binary64) (/.f64 x (/.f64 #s(literal 2 binary64) y)))))
(fma.f64 #s(literal 1 binary64) (/.f64 y (-.f64 #s(literal -1 binary64) (/.f64 x (/.f64 #s(literal 2 binary64) y)))) x)
(fma.f64 (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 2 binary64) y)))) #s(literal -1 binary64) x)
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(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (*.f64 x y)))
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(*.f64 (-.f64 #s(literal 0 binary64) y) (-.f64 #s(literal 0 binary64) x))
(*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 x y)))
(*.f64 (-.f64 #s(literal 0 binary64) x) (-.f64 #s(literal 0 binary64) y))
(*.f64 (neg.f64 (-.f64 #s(literal 0 binary64) x)) y)

simplify402.0ms (2.8%)

Memory
6.3MiB live, 791.2MiB allocated
Algorithm
egg-herbie
Rules
13 558×accelerator-lowering-fma.f32
13 558×accelerator-lowering-fma.f64
4 930×*-lowering-*.f32
4 930×*-lowering-*.f64
1 854×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02311053
17381018
21941987
36067981
08421934
Stop Event
iter limit
node limit
Counts
120 → 120
Calls
Call 1
Inputs
(* -1 y)
(- (* x (+ 1 (* 1/2 (pow y 2)))) y)
(- (* x (+ 1 (+ (* -1/4 (* x (pow y 3))) (* 1/2 (pow y 2))))) y)
(- (* x (+ 1 (+ (* 1/2 (pow y 2)) (* x (+ (* -1/4 (pow y 3)) (* 1/8 (* x (pow y 4)))))))) y)
x
(* x (- 1 (* 2 (/ 1 (pow x 2)))))
(* x (- (+ 1 (/ 4 (* (pow x 3) y))) (* 2 (/ 1 (pow x 2)))))
(* x (- (+ 1 (* 4 (/ 1 (* (pow x 3) y)))) (+ (* 8 (/ 1 (* (pow x 4) (pow y 2)))) (* 2 (/ 1 (pow x 2))))))
x
(* -1 (* x (- (* 2 (/ 1 (pow x 2))) 1)))
(* -1 (* x (- (* 2 (/ 1 (pow x 2))) (+ 1 (/ 4 (* (pow x 3) y))))))
(* -1 (* x (- (+ (* -1 (/ (- (* 4 (/ 1 y)) (* 8 (/ 1 (* x (pow y 2))))) (pow x 3))) (* 2 (/ 1 (pow x 2)))) 1)))
x
(+ x (* -1 y))
(+ x (* y (- (* 1/2 (* x y)) 1)))
(+ x (* y (- (* y (+ (* -1/4 (* (pow x 2) y)) (* 1/2 x))) 1)))
(- x (* 2 (/ 1 x)))
(- (+ x (* 4 (/ 1 (* (pow x 2) y)))) (* 2 (/ 1 x)))
(- (+ x (/ 4 (* (pow x 2) y))) (+ (* 2 (/ 1 x)) (/ 8 (* (pow x 3) (pow y 2)))))
(- (+ x (+ (* 16 (/ 1 (* (pow x 4) (pow y 3)))) (/ 4 (* (pow x 2) y)))) (+ (* 2 (/ 1 x)) (* 8 (/ 1 (* (pow x 3) (pow y 2))))))
(- x (* 2 (/ 1 x)))
(- (+ x (* 4 (/ 1 (* (pow x 2) y)))) (* 2 (/ 1 x)))
(- (+ x (* -1 (/ (- (* 8 (/ 1 (* (pow x 3) y))) (* 4 (/ 1 (pow x 2)))) y))) (* 2 (/ 1 x)))
(- (+ x (* -1 (/ (- (* -1 (/ (- (* 16 (/ 1 (* (pow x 4) y))) (* 8 (/ 1 (pow x 3)))) y)) (* 4 (/ 1 (pow x 2)))) y))) (* 2 (/ 1 x)))
y
(* y (+ 1 (* -1/2 (* x y))))
(* y (+ 1 (* y (- (* 1/4 (* (pow x 2) y)) (* 1/2 x)))))
(* y (+ 1 (* y (- (* y (- (* -1/8 (* (pow x 3) y)) (* -1/4 (pow x 2)))) (* 1/2 x)))))
(/ 2 x)
(- (* 2 (/ 1 x)) (* 4 (/ 1 (* (pow x 2) y))))
(- (+ (* 2 (/ 1 x)) (/ 8 (* (pow x 3) (pow y 2)))) (/ 4 (* (pow x 2) y)))
(- (+ (* 2 (/ 1 x)) (* 8 (/ 1 (* (pow x 3) (pow y 2))))) (+ (* 16 (/ 1 (* (pow x 4) (pow y 3)))) (/ 4 (* (pow x 2) y))))
(/ 2 x)
(- (* 2 (/ 1 x)) (* 4 (/ 1 (* (pow x 2) y))))
(+ (* -1 (/ (- (* 4 (/ 1 (pow x 2))) (* 8 (/ 1 (* (pow x 3) y)))) y)) (* 2 (/ 1 x)))
(+ (* -1 (/ (+ (* -1 (/ (- (* 8 (/ 1 (pow x 3))) (* 16 (/ 1 (* (pow x 4) y)))) y)) (* 4 (/ 1 (pow x 2)))) y)) (* 2 (/ 1 x)))
y
(+ y (* -1/2 (* x (pow y 2))))
(+ y (* x (- (* 1/4 (* x (pow y 3))) (* 1/2 (pow y 2)))))
(+ y (* x (- (* x (- (* -1/8 (* x (pow y 4))) (* -1/4 (pow y 3)))) (* 1/2 (pow y 2)))))
(/ 2 x)
(/ (- 2 (* 4 (/ 1 (* x y)))) x)
(/ (- (+ 2 (/ 8 (* (pow x 2) (pow y 2)))) (/ 4 (* x y))) x)
(/ (- (+ 2 (* 8 (/ 1 (* (pow x 2) (pow y 2))))) (+ (* 16 (/ 1 (* (pow x 3) (pow y 3)))) (/ 4 (* x y)))) x)
(/ 2 x)
(* -1 (/ (- (* 4 (/ 1 (* x y))) 2) x))
(* -1 (/ (- (* -1 (/ (- (* 8 (/ 1 (* x (pow y 2)))) (* 4 (/ 1 y))) x)) 2) x))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 16 (/ 1 (* x (pow y 3)))) (* 8 (/ 1 (pow y 2)))) x)) (* 4 (/ 1 y))) x)) 2) x))
1
(+ 1 (* 1/2 (* x y)))
(+ 1 (* 1/2 (* x y)))
(+ 1 (* 1/2 (* x y)))
(* 1/2 (* x y))
(* x (+ (* 1/2 y) (/ 1 x)))
(* x (+ (* 1/2 y) (/ 1 x)))
(* x (+ (* 1/2 y) (/ 1 x)))
(* 1/2 (* x y))
(* -1 (* x (- (* -1/2 y) (/ 1 x))))
(* -1 (* x (- (* -1/2 y) (/ 1 x))))
(* -1 (* x (- (* -1/2 y) (/ 1 x))))
1
(+ 1 (* 1/2 (* x y)))
(+ 1 (* 1/2 (* x y)))
(+ 1 (* 1/2 (* x y)))
(* 1/2 (* x y))
(* y (+ (* 1/2 x) (/ 1 y)))
(* y (+ (* 1/2 x) (/ 1 y)))
(* y (+ (* 1/2 x) (/ 1 y)))
(* 1/2 (* x y))
(* -1 (* y (- (* -1/2 x) (/ 1 y))))
(* -1 (* y (- (* -1/2 x) (/ 1 y))))
(* -1 (* y (- (* -1/2 x) (/ 1 y))))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
Outputs
(* -1 y)
(-.f64 #s(literal 0 binary64) y)
(- (* x (+ 1 (* 1/2 (pow y 2)))) y)
(+.f64 x (*.f64 y (+.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 y x)))))
(- (* x (+ 1 (+ (* -1/4 (* x (pow y 3))) (* 1/2 (pow y 2))))) y)
(-.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 y x)))))) y)
(- (* x (+ 1 (+ (* 1/2 (pow y 2)) (* x (+ (* -1/4 (pow y 3)) (* 1/8 (* x (pow y 4)))))))) y)
(-.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 (*.f64 y y) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 y x)))) (*.f64 x (*.f64 #s(literal 1/8 binary64) (*.f64 x (pow.f64 y #s(literal 4 binary64)))))))) y)
x
(* x (- 1 (* 2 (/ 1 (pow x 2)))))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x))))
(* x (- (+ 1 (/ 4 (* (pow x 3) y))) (* 2 (/ 1 (pow x 2)))))
(*.f64 x (+.f64 (/.f64 (/.f64 #s(literal 4 binary64) (*.f64 y (*.f64 x x))) x) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x)))))
(* x (- (+ 1 (* 4 (/ 1 (* (pow x 3) y)))) (+ (* 8 (/ 1 (* (pow x 4) (pow y 2)))) (* 2 (/ 1 (pow x 2))))))
(+.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x)))) (/.f64 (+.f64 (/.f64 #s(literal 4 binary64) y) (/.f64 #s(literal -8 binary64) (*.f64 x (*.f64 y y)))) (*.f64 x x)))
x
(* -1 (* x (- (* 2 (/ 1 (pow x 2))) 1)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x))))
(* -1 (* x (- (* 2 (/ 1 (pow x 2))) (+ 1 (/ 4 (* (pow x 3) y))))))
(*.f64 x (+.f64 (/.f64 (/.f64 #s(literal 4 binary64) (*.f64 y (*.f64 x x))) x) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x)))))
(* -1 (* x (- (+ (* -1 (/ (- (* 4 (/ 1 y)) (* 8 (/ 1 (* x (pow y 2))))) (pow x 3))) (* 2 (/ 1 (pow x 2)))) 1)))
(+.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x)))) (/.f64 (+.f64 (/.f64 #s(literal 4 binary64) y) (/.f64 #s(literal -8 binary64) (*.f64 x (*.f64 y y)))) (*.f64 x x)))
x
(+ x (* -1 y))
(-.f64 x y)
(+ x (* y (- (* 1/2 (* x y)) 1)))
(+.f64 x (*.f64 y (+.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 y x)))))
(+ x (* y (- (* y (+ (* -1/4 (* (pow x 2) y)) (* 1/2 x))) 1)))
(-.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 y x)))))) y)
(- x (* 2 (/ 1 x)))
(+.f64 x (/.f64 #s(literal -2 binary64) x))
(- (+ x (* 4 (/ 1 (* (pow x 2) y)))) (* 2 (/ 1 x)))
(+.f64 x (/.f64 (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 y x)) #s(literal -2 binary64)) x))
(- (+ x (/ 4 (* (pow x 2) y))) (+ (* 2 (/ 1 x)) (/ 8 (* (pow x 3) (pow y 2)))))
(-.f64 x (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 4 binary64) y) (/.f64 #s(literal -8 binary64) (*.f64 x (*.f64 y y)))) x)) x))
(- (+ x (+ (* 16 (/ 1 (* (pow x 4) (pow y 3)))) (/ 4 (* (pow x 2) y)))) (+ (* 2 (/ 1 x)) (* 8 (/ 1 (* (pow x 3) (pow y 2))))))
(+.f64 (-.f64 x (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 4 binary64) y) (/.f64 #s(literal -8 binary64) (*.f64 x (*.f64 y y)))) x)) x)) (/.f64 (/.f64 #s(literal 16 binary64) (*.f64 y (*.f64 y y))) (*.f64 (*.f64 x x) (*.f64 x x))))
(- x (* 2 (/ 1 x)))
(+.f64 x (/.f64 #s(literal -2 binary64) x))
(- (+ x (* 4 (/ 1 (* (pow x 2) y)))) (* 2 (/ 1 x)))
(+.f64 x (/.f64 (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 y x)) #s(literal -2 binary64)) x))
(- (+ x (* -1 (/ (- (* 8 (/ 1 (* (pow x 3) y))) (* 4 (/ 1 (pow x 2)))) y))) (* 2 (/ 1 x)))
(-.f64 x (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 4 binary64) y) (/.f64 #s(literal -8 binary64) (*.f64 x (*.f64 y y)))) x)) x))
(- (+ x (* -1 (/ (- (* -1 (/ (- (* 16 (/ 1 (* (pow x 4) y))) (* 8 (/ 1 (pow x 3)))) y)) (* 4 (/ 1 (pow x 2)))) y))) (* 2 (/ 1 x)))
(+.f64 (-.f64 x (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 4 binary64) y) (/.f64 #s(literal -8 binary64) (*.f64 x (*.f64 y y)))) x)) x)) (/.f64 (/.f64 #s(literal 16 binary64) (*.f64 y (*.f64 y y))) (*.f64 (*.f64 x x) (*.f64 x x))))
y
(* y (+ 1 (* -1/2 (* x y))))
(*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y x) #s(literal -1/2 binary64))))
(* y (+ 1 (* y (- (* 1/4 (* (pow x 2) y)) (* 1/2 x)))))
(+.f64 y (*.f64 x (*.f64 (*.f64 y y) (+.f64 #s(literal -1/2 binary64) (*.f64 y (*.f64 x #s(literal 1/4 binary64)))))))
(* y (+ 1 (* y (- (* y (- (* -1/8 (* (pow x 3) y)) (* -1/4 (pow x 2)))) (* 1/2 x)))))
(*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 (*.f64 y (+.f64 (*.f64 x (*.f64 (*.f64 y (*.f64 x x)) #s(literal -1/8 binary64))) (*.f64 (*.f64 x x) #s(literal 1/4 binary64)))) (*.f64 x #s(literal -1/2 binary64))))))
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
(- (* 2 (/ 1 x)) (* 4 (/ 1 (* (pow x 2) y))))
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal -4 binary64) y) x)) x)
(- (+ (* 2 (/ 1 x)) (/ 8 (* (pow x 3) (pow y 2)))) (/ 4 (* (pow x 2) y)))
(/.f64 (-.f64 #s(literal 2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 4 binary64) y) (/.f64 #s(literal -8 binary64) (*.f64 x (*.f64 y y)))) x)) x)
(- (+ (* 2 (/ 1 x)) (* 8 (/ 1 (* (pow x 3) (pow y 2))))) (+ (* 16 (/ 1 (* (pow x 4) (pow y 3)))) (/ 4 (* (pow x 2) y))))
(+.f64 (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 4 binary64) y) (/.f64 #s(literal -8 binary64) (*.f64 x (*.f64 y y)))) x)) x) (/.f64 (/.f64 #s(literal -16 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (*.f64 y (*.f64 y y))))
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
(- (* 2 (/ 1 x)) (* 4 (/ 1 (* (pow x 2) y))))
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal -4 binary64) y) x)) x)
(+ (* -1 (/ (- (* 4 (/ 1 (pow x 2))) (* 8 (/ 1 (* (pow x 3) y)))) y)) (* 2 (/ 1 x)))
(/.f64 (-.f64 #s(literal 2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 4 binary64) y) (/.f64 #s(literal -8 binary64) (*.f64 x (*.f64 y y)))) x)) x)
(+ (* -1 (/ (+ (* -1 (/ (- (* 8 (/ 1 (pow x 3))) (* 16 (/ 1 (* (pow x 4) y)))) y)) (* 4 (/ 1 (pow x 2)))) y)) (* 2 (/ 1 x)))
(+.f64 (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 4 binary64) y) (/.f64 #s(literal -8 binary64) (*.f64 x (*.f64 y y)))) x)) x) (/.f64 (/.f64 #s(literal -16 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (*.f64 y (*.f64 y y))))
y
(+ y (* -1/2 (* x (pow y 2))))
(*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y x) #s(literal -1/2 binary64))))
(+ y (* x (- (* 1/4 (* x (pow y 3))) (* 1/2 (pow y 2)))))
(+.f64 y (*.f64 x (*.f64 (*.f64 y y) (+.f64 #s(literal -1/2 binary64) (*.f64 y (*.f64 x #s(literal 1/4 binary64)))))))
(+ y (* x (- (* x (- (* -1/8 (* x (pow y 4))) (* -1/4 (pow y 3)))) (* 1/2 (pow y 2)))))
(+.f64 y (*.f64 x (+.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 (*.f64 x x) #s(literal -1/8 binary64))) (*.f64 (*.f64 y y) (+.f64 #s(literal -1/2 binary64) (*.f64 y (*.f64 x #s(literal 1/4 binary64))))))))
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
(/ (- 2 (* 4 (/ 1 (* x y)))) x)
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal -4 binary64) y) x)) x)
(/ (- (+ 2 (/ 8 (* (pow x 2) (pow y 2)))) (/ 4 (* x y))) x)
(/.f64 (-.f64 #s(literal 2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 4 binary64) y) (/.f64 #s(literal -8 binary64) (*.f64 x (*.f64 y y)))) x)) x)
(/ (- (+ 2 (* 8 (/ 1 (* (pow x 2) (pow y 2))))) (+ (* 16 (/ 1 (* (pow x 3) (pow y 3)))) (/ 4 (* x y)))) x)
(/.f64 (-.f64 (-.f64 #s(literal 2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 4 binary64) y) (/.f64 #s(literal -8 binary64) (*.f64 x (*.f64 y y)))) x)) (/.f64 (/.f64 #s(literal 16 binary64) (*.f64 x (*.f64 y (*.f64 y y)))) (*.f64 x x))) x)
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
(* -1 (/ (- (* 4 (/ 1 (* x y))) 2) x))
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal -4 binary64) y) x)) x)
(* -1 (/ (- (* -1 (/ (- (* 8 (/ 1 (* x (pow y 2)))) (* 4 (/ 1 y))) x)) 2) x))
(/.f64 (-.f64 #s(literal 2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 4 binary64) y) (/.f64 #s(literal -8 binary64) (*.f64 x (*.f64 y y)))) x)) x)
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 16 (/ 1 (* x (pow y 3)))) (* 8 (/ 1 (pow y 2)))) x)) (* 4 (/ 1 y))) x)) 2) x))
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 (-.f64 (/.f64 #s(literal -4 binary64) y) (/.f64 (+.f64 (/.f64 #s(literal 16 binary64) (*.f64 x (*.f64 y (*.f64 y y)))) (/.f64 #s(literal -8 binary64) (*.f64 y y))) x)) x)) x)
1
#s(literal 1 binary64)
(+ 1 (* 1/2 (* x y)))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 y x)))
(+ 1 (* 1/2 (* x y)))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 y x)))
(+ 1 (* 1/2 (* x y)))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 y x)))
(* 1/2 (* x y))
(*.f64 #s(literal 1/2 binary64) (*.f64 y x))
(* x (+ (* 1/2 y) (/ 1 x)))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 y x)))
(* x (+ (* 1/2 y) (/ 1 x)))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 y x)))
(* x (+ (* 1/2 y) (/ 1 x)))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 y x)))
(* 1/2 (* x y))
(*.f64 #s(literal 1/2 binary64) (*.f64 y x))
(* -1 (* x (- (* -1/2 y) (/ 1 x))))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 y x)))
(* -1 (* x (- (* -1/2 y) (/ 1 x))))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 y x)))
(* -1 (* x (- (* -1/2 y) (/ 1 x))))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 y x)))
1
#s(literal 1 binary64)
(+ 1 (* 1/2 (* x y)))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 y x)))
(+ 1 (* 1/2 (* x y)))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 y x)))
(+ 1 (* 1/2 (* x y)))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 y x)))
(* 1/2 (* x y))
(*.f64 #s(literal 1/2 binary64) (*.f64 y x))
(* y (+ (* 1/2 x) (/ 1 y)))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 y x)))
(* y (+ (* 1/2 x) (/ 1 y)))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 y x)))
(* y (+ (* 1/2 x) (/ 1 y)))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 y x)))
(* 1/2 (* x y))
(*.f64 #s(literal 1/2 binary64) (*.f64 y x))
(* -1 (* y (- (* -1/2 x) (/ 1 y))))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 y x)))
(* -1 (* y (- (* -1/2 x) (/ 1 y))))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 y x)))
(* -1 (* y (- (* -1/2 x) (/ 1 y))))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 y x)))
(* 1/2 (* x y))
(*.f64 #s(literal 1/2 binary64) (*.f64 y x))
(* 1/2 (* x y))
(*.f64 #s(literal 1/2 binary64) (*.f64 y x))
(* 1/2 (* x y))
(*.f64 #s(literal 1/2 binary64) (*.f64 y x))
(* 1/2 (* x y))
(*.f64 #s(literal 1/2 binary64) (*.f64 y x))
(* 1/2 (* x y))
(*.f64 #s(literal 1/2 binary64) (*.f64 y x))
(* 1/2 (* x y))
(*.f64 #s(literal 1/2 binary64) (*.f64 y x))
(* 1/2 (* x y))
(*.f64 #s(literal 1/2 binary64) (*.f64 y x))
(* 1/2 (* x y))
(*.f64 #s(literal 1/2 binary64) (*.f64 y x))
(* 1/2 (* x y))
(*.f64 #s(literal 1/2 binary64) (*.f64 y x))
(* 1/2 (* x y))
(*.f64 #s(literal 1/2 binary64) (*.f64 y x))
(* 1/2 (* x y))
(*.f64 #s(literal 1/2 binary64) (*.f64 y x))
(* 1/2 (* x y))
(*.f64 #s(literal 1/2 binary64) (*.f64 y x))
(* 1/2 (* x y))
(*.f64 #s(literal 1/2 binary64) (*.f64 y x))
(* 1/2 (* x y))
(*.f64 #s(literal 1/2 binary64) (*.f64 y x))
(* 1/2 (* x y))
(*.f64 #s(literal 1/2 binary64) (*.f64 y x))
(* 1/2 (* x y))
(*.f64 #s(literal 1/2 binary64) (*.f64 y x))
(* 1/2 (* x y))
(*.f64 #s(literal 1/2 binary64) (*.f64 y x))
(* 1/2 (* x y))
(*.f64 #s(literal 1/2 binary64) (*.f64 y x))
(* 1/2 (* x y))
(*.f64 #s(literal 1/2 binary64) (*.f64 y x))
(* 1/2 (* x y))
(*.f64 #s(literal 1/2 binary64) (*.f64 y x))
(* 1/2 (* x y))
(*.f64 #s(literal 1/2 binary64) (*.f64 y x))
(* 1/2 (* x y))
(*.f64 #s(literal 1/2 binary64) (*.f64 y x))
(* 1/2 (* x y))
(*.f64 #s(literal 1/2 binary64) (*.f64 y x))
(* 1/2 (* x y))
(*.f64 #s(literal 1/2 binary64) (*.f64 y x))
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)

eval165.0ms (1.1%)

Memory
-8.0MiB live, 68.1MiB allocated
Compiler

Compiled 12 210 to 1 067 computations (91.3% saved)

prune46.0ms (0.3%)

Memory
10.6MiB live, 89.5MiB allocated
Pruning

10 alts after pruning (9 fresh and 1 done)

PrunedKeptTotal
New3909399
Fresh000
Picked011
Done000
Total39010400
Accuracy
100.0%
Counts
400 → 10
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.7%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x (/.f64 y (-.f64 #s(literal -1 binary64) (/.f64 x (/.f64 #s(literal 2 binary64) y)))))))
99.9%
(-.f64 x (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64)))))
56.0%
(-.f64 x (/.f64 y (*.f64 #s(literal 1/2 binary64) (*.f64 y x))))
56.0%
(-.f64 x (/.f64 #s(literal 2 binary64) x))
99.9%
(-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 2 binary64) y))) y)))
99.9%
(-.f64 x (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 2 binary64) y)))) y))
68.8%
(-.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y x) #s(literal -1/2 binary64)))))
75.7%
(-.f64 x y)
54.3%
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x))))
59.7%
x
Compiler

Compiled 207 to 141 computations (31.9% saved)

simplify288.0ms (2%)

Memory
39.1MiB live, 264.8MiB allocated
Algorithm
egg-herbie
Localize:

Found 14 expressions of interest:

NewMetricScoreProgram
cost-diff0
(+.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 2 binary64) y)))
cost-diff0
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 2 binary64) y))) y))
cost-diff0
(-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 2 binary64) y))) y)))
cost-diff128
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 2 binary64) y))) y)
cost-diff0
(*.f64 y x)
cost-diff0
(*.f64 #s(literal 1/2 binary64) (*.f64 y x))
cost-diff0
(-.f64 x (/.f64 y (*.f64 #s(literal 1/2 binary64) (*.f64 y x))))
cost-diff256
(/.f64 y (*.f64 #s(literal 1/2 binary64) (*.f64 y x)))
cost-diff0
(/.f64 #s(literal 2 binary64) x)
cost-diff0
(-.f64 x (/.f64 #s(literal 2 binary64) x))
cost-diff0
(+.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 2 binary64) y)))
cost-diff0
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 2 binary64) y))))
cost-diff0
(-.f64 x (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 2 binary64) y)))) y))
cost-diff128
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 2 binary64) y)))) y)
Rules
2 576×accelerator-lowering-fma.f32
2 576×accelerator-lowering-fma.f64
2 272×*-lowering-*.f32
2 272×*-lowering-*.f64
2 040×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
020134
145126
2106126
3311126
41012126
52174126
63274124
74298124
85988124
96613124
106721124
116777124
126795124
136799124
147079124
157307124
167375124
177407124
187407124
197838124
08012116
Stop Event
iter limit
node limit
Calls
Call 1
Inputs
(- x (* (/ 1 (+ 1 (/ x (/ 2 y)))) y))
x
(* (/ 1 (+ 1 (/ x (/ 2 y)))) y)
(/ 1 (+ 1 (/ x (/ 2 y))))
1
(+ 1 (/ x (/ 2 y)))
(/ x (/ 2 y))
(/ 2 y)
2
y
x
(- x (/ 2 x))
x
(/ 2 x)
2
(- x (/ y (* 1/2 (* y x))))
x
(/ y (* 1/2 (* y x)))
y
(* 1/2 (* y x))
1/2
(* y x)
(- x (/ 1 (/ (+ 1 (/ x (/ 2 y))) y)))
x
(/ 1 (/ (+ 1 (/ x (/ 2 y))) y))
1
(/ (+ 1 (/ x (/ 2 y))) y)
(+ 1 (/ x (/ 2 y)))
(/ x (/ 2 y))
(/ 2 y)
2
y
Outputs
(- x (* (/ 1 (+ 1 (/ x (/ 2 y)))) y))
(-.f64 x (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 x #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) y))))
x
(* (/ 1 (+ 1 (/ x (/ 2 y)))) y)
(/.f64 #s(literal 1 binary64) (+.f64 (/.f64 x #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) y)))
(/ 1 (+ 1 (/ x (/ 2 y))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 y (/.f64 x #s(literal 2 binary64)))))
1
#s(literal 1 binary64)
(+ 1 (/ x (/ 2 y)))
(+.f64 #s(literal 1 binary64) (*.f64 y (/.f64 x #s(literal 2 binary64))))
(/ x (/ 2 y))
(*.f64 y (/.f64 x #s(literal 2 binary64)))
(/ 2 y)
(/.f64 #s(literal 2 binary64) y)
2
#s(literal 2 binary64)
y
x
(- x (/ 2 x))
(-.f64 x (/.f64 #s(literal 2 binary64) x))
x
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
2
#s(literal 2 binary64)
(- x (/ y (* 1/2 (* y x))))
(-.f64 x (/.f64 #s(literal 2 binary64) x))
x
(/ y (* 1/2 (* y x)))
(/.f64 #s(literal 2 binary64) x)
y
(* 1/2 (* y x))
(*.f64 y (/.f64 x #s(literal 2 binary64)))
1/2
#s(literal 1/2 binary64)
(* y x)
(*.f64 x y)
(- x (/ 1 (/ (+ 1 (/ x (/ 2 y))) y)))
(-.f64 x (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 x #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) y))))
x
(/ 1 (/ (+ 1 (/ x (/ 2 y))) y))
(/.f64 #s(literal 1 binary64) (+.f64 (/.f64 x #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) y)))
1
#s(literal 1 binary64)
(/ (+ 1 (/ x (/ 2 y))) y)
(+.f64 (/.f64 x #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) y))
(+ 1 (/ x (/ 2 y)))
(+.f64 #s(literal 1 binary64) (*.f64 y (/.f64 x #s(literal 2 binary64))))
(/ x (/ 2 y))
(*.f64 y (/.f64 x #s(literal 2 binary64)))
(/ 2 y)
(/.f64 #s(literal 2 binary64) y)
2
#s(literal 2 binary64)
y

localize322.0ms (2.2%)

Memory
-132.9MiB live, 157.0MiB allocated
Localize:

Found 14 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 2 binary64) y))) y)))
accuracy99.8%
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 2 binary64) y))) y))
accuracy99.7%
(/.f64 x (/.f64 #s(literal 2 binary64) y))
accuracy92.5%
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 2 binary64) y))) y)
accuracy100.0%
(*.f64 y x)
accuracy100.0%
(*.f64 #s(literal 1/2 binary64) (*.f64 y x))
accuracy100.0%
(-.f64 x (/.f64 y (*.f64 #s(literal 1/2 binary64) (*.f64 y x))))
accuracy80.0%
(/.f64 y (*.f64 #s(literal 1/2 binary64) (*.f64 y x)))
accuracy100.0%
(/.f64 #s(literal 2 binary64) x)
accuracy100.0%
(-.f64 x (/.f64 #s(literal 2 binary64) x))
accuracy100.0%
(-.f64 x (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 2 binary64) y)))) y))
accuracy99.7%
(/.f64 x (/.f64 #s(literal 2 binary64) y))
accuracy99.6%
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 2 binary64) y))))
accuracy92.8%
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 2 binary64) y)))) y)
Samples
294.0ms256×0valid
Compiler

Compiled 144 to 22 computations (84.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 279.0ms
ival-sub: 252.0ms (90.5% of total)
ival-div: 20.0ms (7.2% of total)
ival-mult: 5.0ms (1.8% of total)
ival-add: 1.0ms (0.4% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series12.0ms (0.1%)

Memory
-15.3MiB live, 23.1MiB allocated
Counts
14 → 312
Calls
Call 1
Inputs
#<alt (* (/ 1 (+ 1 (/ x (/ 2 y)))) y)>
#<alt (- x (* (/ 1 (+ 1 (/ x (/ 2 y)))) y))>
#<alt (/ 1 (+ 1 (/ x (/ 2 y))))>
#<alt (+ 1 (/ x (/ 2 y)))>
#<alt (- x (/ 2 x))>
#<alt (/ 2 x)>
#<alt (/ y (* 1/2 (* y x)))>
#<alt (- x (/ y (* 1/2 (* y x))))>
#<alt (* 1/2 (* y x))>
#<alt (* y x)>
#<alt (/ (+ 1 (/ x (/ 2 y))) y)>
#<alt (- x (/ 1 (/ (+ 1 (/ x (/ 2 y))) y)))>
#<alt (/ 1 (/ (+ 1 (/ x (/ 2 y))) y))>
#<alt (/ x (/ 2 y))>
Outputs
#<alt y>
#<alt (+ y (* -1/2 (* x (pow y 2))))>
#<alt (+ y (* x (- (* 1/4 (* x (pow y 3))) (* 1/2 (pow y 2)))))>
#<alt (+ y (* x (- (* x (- (* -1/8 (* x (pow y 4))) (* -1/4 (pow y 3)))) (* 1/2 (pow y 2)))))>
#<alt (/ 2 x)>
#<alt (/ (- 2 (* 4 (/ 1 (* x y)))) x)>
#<alt (/ (- (+ 2 (/ 8 (* (pow x 2) (pow y 2)))) (/ 4 (* x y))) x)>
#<alt (/ (- (+ 2 (* 8 (/ 1 (* (pow x 2) (pow y 2))))) (+ (* 16 (/ 1 (* (pow x 3) (pow y 3)))) (/ 4 (* x y)))) x)>
#<alt (/ 2 x)>
#<alt (* -1 (/ (- (* 4 (/ 1 (* x y))) 2) x))>
#<alt (* -1 (/ (- (* -1 (/ (- (* 8 (/ 1 (* x (pow y 2)))) (* 4 (/ 1 y))) x)) 2) x))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 16 (/ 1 (* x (pow y 3)))) (* 8 (/ 1 (pow y 2)))) x)) (* 4 (/ 1 y))) x)) 2) x))>
#<alt y>
#<alt (* y (+ 1 (* -1/2 (* x y))))>
#<alt (* y (+ 1 (* y (- (* 1/4 (* (pow x 2) y)) (* 1/2 x)))))>
#<alt (* y (+ 1 (* y (- (* y (- (* -1/8 (* (pow x 3) y)) (* -1/4 (pow x 2)))) (* 1/2 x)))))>
#<alt (/ 2 x)>
#<alt (- (* 2 (/ 1 x)) (* 4 (/ 1 (* (pow x 2) y))))>
#<alt (- (+ (* 2 (/ 1 x)) (/ 8 (* (pow x 3) (pow y 2)))) (/ 4 (* (pow x 2) y)))>
#<alt (- (+ (* 2 (/ 1 x)) (* 8 (/ 1 (* (pow x 3) (pow y 2))))) (+ (* 16 (/ 1 (* (pow x 4) (pow y 3)))) (/ 4 (* (pow x 2) y))))>
#<alt (/ 2 x)>
#<alt (- (* 2 (/ 1 x)) (* 4 (/ 1 (* (pow x 2) y))))>
#<alt (+ (* -1 (/ (- (* 4 (/ 1 (pow x 2))) (* 8 (/ 1 (* (pow x 3) y)))) y)) (* 2 (/ 1 x)))>
#<alt (+ (* -1 (/ (+ (* -1 (/ (- (* 8 (/ 1 (pow x 3))) (* 16 (/ 1 (* (pow x 4) y)))) y)) (* 4 (/ 1 (pow x 2)))) y)) (* 2 (/ 1 x)))>
#<alt (* -1 y)>
#<alt (- (* x (+ 1 (* 1/2 (pow y 2)))) y)>
#<alt (- (* x (+ 1 (+ (* -1/4 (* x (pow y 3))) (* 1/2 (pow y 2))))) y)>
#<alt (- (* x (+ 1 (+ (* 1/2 (pow y 2)) (* x (+ (* -1/4 (pow y 3)) (* 1/8 (* x (pow y 4)))))))) y)>
#<alt x>
#<alt (* x (- 1 (* 2 (/ 1 (pow x 2)))))>
#<alt (* x (- (+ 1 (/ 4 (* (pow x 3) y))) (* 2 (/ 1 (pow x 2)))))>
#<alt (* x (- (+ 1 (* 4 (/ 1 (* (pow x 3) y)))) (+ (* 8 (/ 1 (* (pow x 4) (pow y 2)))) (* 2 (/ 1 (pow x 2))))))>
#<alt x>
#<alt (* -1 (* x (- (* 2 (/ 1 (pow x 2))) 1)))>
#<alt (* -1 (* x (- (* 2 (/ 1 (pow x 2))) (+ 1 (/ 4 (* (pow x 3) y))))))>
#<alt (* -1 (* x (- (+ (* -1 (/ (- (* 4 (/ 1 y)) (* 8 (/ 1 (* x (pow y 2))))) (pow x 3))) (* 2 (/ 1 (pow x 2)))) 1)))>
#<alt x>
#<alt (+ x (* -1 y))>
#<alt (+ x (* y (- (* 1/2 (* x y)) 1)))>
#<alt (+ x (* y (- (* y (+ (* -1/4 (* (pow x 2) y)) (* 1/2 x))) 1)))>
#<alt (- x (* 2 (/ 1 x)))>
#<alt (- (+ x (* 4 (/ 1 (* (pow x 2) y)))) (* 2 (/ 1 x)))>
#<alt (- (+ x (/ 4 (* (pow x 2) y))) (+ (* 2 (/ 1 x)) (/ 8 (* (pow x 3) (pow y 2)))))>
#<alt (- (+ x (+ (* 16 (/ 1 (* (pow x 4) (pow y 3)))) (/ 4 (* (pow x 2) y)))) (+ (* 2 (/ 1 x)) (* 8 (/ 1 (* (pow x 3) (pow y 2))))))>
#<alt (- x (* 2 (/ 1 x)))>
#<alt (- (+ x (* 4 (/ 1 (* (pow x 2) y)))) (* 2 (/ 1 x)))>
#<alt (- (+ x (* -1 (/ (- (* 8 (/ 1 (* (pow x 3) y))) (* 4 (/ 1 (pow x 2)))) y))) (* 2 (/ 1 x)))>
#<alt (- (+ x (* -1 (/ (- (* -1 (/ (- (* 16 (/ 1 (* (pow x 4) y))) (* 8 (/ 1 (pow x 3)))) y)) (* 4 (/ 1 (pow x 2)))) y))) (* 2 (/ 1 x)))>
#<alt 1>
#<alt (+ 1 (* -1/2 (* x y)))>
#<alt (+ 1 (* x (- (* 1/4 (* x (pow y 2))) (* 1/2 y))))>
#<alt (+ 1 (* x (- (* x (- (* -1/8 (* x (pow y 3))) (* -1/4 (pow y 2)))) (* 1/2 y))))>
#<alt (/ 2 (* x y))>
#<alt (/ (- (* 2 (/ 1 y)) (* 4 (/ 1 (* x (pow y 2))))) x)>
#<alt (/ (- (+ (* 2 (/ 1 y)) (/ 8 (* (pow x 2) (pow y 3)))) (/ 4 (* x (pow y 2)))) x)>
#<alt (/ (- (+ (* 2 (/ 1 y)) (* 8 (/ 1 (* (pow x 2) (pow y 3))))) (+ (* 16 (/ 1 (* (pow x 3) (pow y 4)))) (/ 4 (* x (pow y 2))))) x)>
#<alt (/ 2 (* x y))>
#<alt (* -1 (/ (- (* 4 (/ 1 (* x (pow y 2)))) (* 2 (/ 1 y))) x))>
#<alt (* -1 (/ (- (* -1 (/ (- (* 8 (/ 1 (* x (pow y 3)))) (* 4 (/ 1 (pow y 2)))) x)) (* 2 (/ 1 y))) x))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 16 (/ 1 (* x (pow y 4)))) (* 8 (/ 1 (pow y 3)))) x)) (* 4 (/ 1 (pow y 2)))) x)) (* 2 (/ 1 y))) x))>
#<alt 1>
#<alt (+ 1 (* -1/2 (* x y)))>
#<alt (+ 1 (* y (- (* 1/4 (* (pow x 2) y)) (* 1/2 x))))>
#<alt (+ 1 (* y (- (* y (- (* -1/8 (* (pow x 3) y)) (* -1/4 (pow x 2)))) (* 1/2 x))))>
#<alt (/ 2 (* x y))>
#<alt (/ (- (* 2 (/ 1 x)) (* 4 (/ 1 (* (pow x 2) y)))) y)>
#<alt (/ (- (+ (* 2 (/ 1 x)) (/ 8 (* (pow x 3) (pow y 2)))) (/ 4 (* (pow x 2) y))) y)>
#<alt (/ (- (+ (* 2 (/ 1 x)) (* 8 (/ 1 (* (pow x 3) (pow y 2))))) (+ (* 16 (/ 1 (* (pow x 4) (pow y 3)))) (/ 4 (* (pow x 2) y)))) y)>
#<alt (/ 2 (* x y))>
#<alt (* -1 (/ (- (* 4 (/ 1 (* (pow x 2) y))) (* 2 (/ 1 x))) y))>
#<alt (* -1 (/ (- (* -1 (/ (- (* 8 (/ 1 (* (pow x 3) y))) (* 4 (/ 1 (pow x 2)))) y)) (* 2 (/ 1 x))) y))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 16 (/ 1 (* (pow x 4) y))) (* 8 (/ 1 (pow x 3)))) y)) (* 4 (/ 1 (pow x 2)))) y)) (* 2 (/ 1 x))) y))>
#<alt 1>
#<alt (+ 1 (* 1/2 (* x y)))>
#<alt (+ 1 (* 1/2 (* x y)))>
#<alt (+ 1 (* 1/2 (* x y)))>
#<alt (* 1/2 (* x y))>
#<alt (* x (+ (* 1/2 y) (/ 1 x)))>
#<alt (* x (+ (* 1/2 y) (/ 1 x)))>
#<alt (* x (+ (* 1/2 y) (/ 1 x)))>
#<alt (* 1/2 (* x y))>
#<alt (* -1 (* x (- (* -1/2 y) (/ 1 x))))>
#<alt (* -1 (* x (- (* -1/2 y) (/ 1 x))))>
#<alt (* -1 (* x (- (* -1/2 y) (/ 1 x))))>
#<alt 1>
#<alt (+ 1 (* 1/2 (* x y)))>
#<alt (+ 1 (* 1/2 (* x y)))>
#<alt (+ 1 (* 1/2 (* x y)))>
#<alt (* 1/2 (* x y))>
#<alt (* y (+ (* 1/2 x) (/ 1 y)))>
#<alt (* y (+ (* 1/2 x) (/ 1 y)))>
#<alt (* y (+ (* 1/2 x) (/ 1 y)))>
#<alt (* 1/2 (* x y))>
#<alt (* -1 (* y (- (* -1/2 x) (/ 1 y))))>
#<alt (* -1 (* y (- (* -1/2 x) (/ 1 y))))>
#<alt (* -1 (* y (- (* -1/2 x) (/ 1 y))))>
#<alt (/ -2 x)>
#<alt (/ (- (pow x 2) 2) x)>
#<alt (/ (- (pow x 2) 2) x)>
#<alt (/ (- (pow x 2) 2) x)>
#<alt x>
#<alt (* x (- 1 (* 2 (/ 1 (pow x 2)))))>
#<alt (* x (- 1 (* 2 (/ 1 (pow x 2)))))>
#<alt (* x (- 1 (* 2 (/ 1 (pow x 2)))))>
#<alt x>
#<alt (* -1 (* x (- (* 2 (/ 1 (pow x 2))) 1)))>
#<alt (* -1 (* x (- (* 2 (/ 1 (pow x 2))) 1)))>
#<alt (* -1 (* x (- (* 2 (/ 1 (pow x 2))) 1)))>
#<alt (/ 2 x)>
#<alt (/ 2 x)>
#<alt (/ 2 x)>
#<alt (/ 2 x)>
#<alt (/ 2 x)>
#<alt (/ 2 x)>
#<alt (/ 2 x)>
#<alt (/ 2 x)>
#<alt (/ 2 x)>
#<alt (/ 2 x)>
#<alt (/ 2 x)>
#<alt (/ 2 x)>
#<alt (/ 2 x)>
#<alt (/ 2 x)>
#<alt (/ 2 x)>
#<alt (/ 2 x)>
#<alt (/ 2 x)>
#<alt (/ 2 x)>
#<alt (/ 2 x)>
#<alt (/ 2 x)>
#<alt (/ 2 x)>
#<alt (/ 2 x)>
#<alt (/ 2 x)>
#<alt (/ 2 x)>
#<alt (/ 2 x)>
#<alt (/ 2 x)>
#<alt (/ 2 x)>
#<alt (/ 2 x)>
#<alt (/ 2 x)>
#<alt (/ 2 x)>
#<alt (/ 2 x)>
#<alt (/ 2 x)>
#<alt (/ 2 x)>
#<alt (/ 2 x)>
#<alt (/ 2 x)>
#<alt (/ 2 x)>
#<alt (/ -2 x)>
#<alt (/ (- (pow x 2) 2) x)>
#<alt (/ (- (pow x 2) 2) x)>
#<alt (/ (- (pow x 2) 2) x)>
#<alt x>
#<alt (* x (- 1 (* 2 (/ 1 (pow x 2)))))>
#<alt (* x (- 1 (* 2 (/ 1 (pow x 2)))))>
#<alt (* x (- 1 (* 2 (/ 1 (pow x 2)))))>
#<alt x>
#<alt (* -1 (* x (- (* 2 (/ 1 (pow x 2))) 1)))>
#<alt (* -1 (* x (- (* 2 (/ 1 (pow x 2))) 1)))>
#<alt (* -1 (* x (- (* 2 (/ 1 (pow x 2))) 1)))>
#<alt (- x (* 2 (/ 1 x)))>
#<alt (- x (* 2 (/ 1 x)))>
#<alt (- x (* 2 (/ 1 x)))>
#<alt (- x (* 2 (/ 1 x)))>
#<alt (- x (* 2 (/ 1 x)))>
#<alt (- x (* 2 (/ 1 x)))>
#<alt (- x (* 2 (/ 1 x)))>
#<alt (- x (* 2 (/ 1 x)))>
#<alt (- x (* 2 (/ 1 x)))>
#<alt (- x (* 2 (/ 1 x)))>
#<alt (- x (* 2 (/ 1 x)))>
#<alt (- x (* 2 (/ 1 x)))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (/ 1 y)>
#<alt (+ (* 1/2 x) (/ 1 y))>
#<alt (+ (* 1/2 x) (/ 1 y))>
#<alt (+ (* 1/2 x) (/ 1 y))>
#<alt (* 1/2 x)>
#<alt (* x (+ 1/2 (/ 1 (* x y))))>
#<alt (* x (+ 1/2 (/ 1 (* x y))))>
#<alt (* x (+ 1/2 (/ 1 (* x y))))>
#<alt (* 1/2 x)>
#<alt (* x (+ 1/2 (/ 1 (* x y))))>
#<alt (* x (+ 1/2 (/ 1 (* x y))))>
#<alt (* x (+ 1/2 (/ 1 (* x y))))>
#<alt (/ 1 y)>
#<alt (/ (+ 1 (* 1/2 (* x y))) y)>
#<alt (/ (+ 1 (* 1/2 (* x y))) y)>
#<alt (/ (+ 1 (* 1/2 (* x y))) y)>
#<alt (* 1/2 x)>
#<alt (+ (* 1/2 x) (/ 1 y))>
#<alt (+ (* 1/2 x) (/ 1 y))>
#<alt (+ (* 1/2 x) (/ 1 y))>
#<alt (* 1/2 x)>
#<alt (+ (* 1/2 x) (/ 1 y))>
#<alt (+ (* 1/2 x) (/ 1 y))>
#<alt (+ (* 1/2 x) (/ 1 y))>
#<alt (* -1 y)>
#<alt (- (* x (+ 1 (* 1/2 (pow y 2)))) y)>
#<alt (- (* x (+ 1 (+ (* -1/4 (* x (pow y 3))) (* 1/2 (pow y 2))))) y)>
#<alt (- (* x (+ 1 (+ (* 1/2 (pow y 2)) (* x (+ (* -1/4 (pow y 3)) (* 1/8 (* x (pow y 4)))))))) y)>
#<alt x>
#<alt (* x (- 1 (* 2 (/ 1 (pow x 2)))))>
#<alt (* x (- (+ 1 (/ 4 (* (pow x 3) y))) (* 2 (/ 1 (pow x 2)))))>
#<alt (* x (- (+ 1 (* 4 (/ 1 (* (pow x 3) y)))) (+ (* 8 (/ 1 (* (pow x 4) (pow y 2)))) (* 2 (/ 1 (pow x 2))))))>
#<alt x>
#<alt (* -1 (* x (- (* 2 (/ 1 (pow x 2))) 1)))>
#<alt (* -1 (* x (- (* 2 (/ 1 (pow x 2))) (+ 1 (/ 4 (* (pow x 3) y))))))>
#<alt (* -1 (* x (- (+ (* -1 (/ (- (* 4 (/ 1 y)) (* 8 (/ 1 (* x (pow y 2))))) (pow x 3))) (* 2 (/ 1 (pow x 2)))) 1)))>
#<alt x>
#<alt (+ x (* -1 y))>
#<alt (+ x (* y (- (* 1/2 (* x y)) 1)))>
#<alt (+ x (* y (- (* y (+ (* -1/4 (* (pow x 2) y)) (* 1/2 x))) 1)))>
#<alt (- x (* 2 (/ 1 x)))>
#<alt (- (+ x (* 4 (/ 1 (* (pow x 2) y)))) (* 2 (/ 1 x)))>
#<alt (- (+ x (/ 4 (* (pow x 2) y))) (+ (* 2 (/ 1 x)) (/ 8 (* (pow x 3) (pow y 2)))))>
#<alt (- (+ x (+ (* 16 (/ 1 (* (pow x 4) (pow y 3)))) (/ 4 (* (pow x 2) y)))) (+ (* 2 (/ 1 x)) (* 8 (/ 1 (* (pow x 3) (pow y 2))))))>
#<alt (- x (* 2 (/ 1 x)))>
#<alt (- (+ x (* 4 (/ 1 (* (pow x 2) y)))) (* 2 (/ 1 x)))>
#<alt (- (+ x (* -1 (/ (- (* 8 (/ 1 (* (pow x 3) y))) (* 4 (/ 1 (pow x 2)))) y))) (* 2 (/ 1 x)))>
#<alt (- (+ x (* -1 (/ (- (* -1 (/ (- (* 16 (/ 1 (* (pow x 4) y))) (* 8 (/ 1 (pow x 3)))) y)) (* 4 (/ 1 (pow x 2)))) y))) (* 2 (/ 1 x)))>
#<alt y>
#<alt (+ y (* -1/2 (* x (pow y 2))))>
#<alt (+ y (* x (- (* 1/4 (* x (pow y 3))) (* 1/2 (pow y 2)))))>
#<alt (+ y (* x (- (* x (- (* -1/8 (* x (pow y 4))) (* -1/4 (pow y 3)))) (* 1/2 (pow y 2)))))>
#<alt (/ 2 x)>
#<alt (/ (- 2 (* 4 (/ 1 (* x y)))) x)>
#<alt (/ (- (+ 2 (/ 8 (* (pow x 2) (pow y 2)))) (/ 4 (* x y))) x)>
#<alt (/ (- (+ 2 (* 8 (/ 1 (* (pow x 2) (pow y 2))))) (+ (* 16 (/ 1 (* (pow x 3) (pow y 3)))) (/ 4 (* x y)))) x)>
#<alt (/ 2 x)>
#<alt (* -1 (/ (- (* 4 (/ 1 (* x y))) 2) x))>
#<alt (* -1 (/ (- (* -1 (/ (- (* 8 (/ 1 (* x (pow y 2)))) (* 4 (/ 1 y))) x)) 2) x))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 16 (/ 1 (* x (pow y 3)))) (* 8 (/ 1 (pow y 2)))) x)) (* 4 (/ 1 y))) x)) 2) x))>
#<alt y>
#<alt (* y (+ 1 (* -1/2 (* x y))))>
#<alt (* y (+ 1 (* y (- (* 1/4 (* (pow x 2) y)) (* 1/2 x)))))>
#<alt (* y (+ 1 (* y (- (* y (- (* -1/8 (* (pow x 3) y)) (* -1/4 (pow x 2)))) (* 1/2 x)))))>
#<alt (/ 2 x)>
#<alt (- (* 2 (/ 1 x)) (* 4 (/ 1 (* (pow x 2) y))))>
#<alt (- (+ (* 2 (/ 1 x)) (/ 8 (* (pow x 3) (pow y 2)))) (/ 4 (* (pow x 2) y)))>
#<alt (- (+ (* 2 (/ 1 x)) (* 8 (/ 1 (* (pow x 3) (pow y 2))))) (+ (* 16 (/ 1 (* (pow x 4) (pow y 3)))) (/ 4 (* (pow x 2) y))))>
#<alt (/ 2 x)>
#<alt (- (* 2 (/ 1 x)) (* 4 (/ 1 (* (pow x 2) y))))>
#<alt (+ (* -1 (/ (- (* 4 (/ 1 (pow x 2))) (* 8 (/ 1 (* (pow x 3) y)))) y)) (* 2 (/ 1 x)))>
#<alt (+ (* -1 (/ (+ (* -1 (/ (- (* 8 (/ 1 (pow x 3))) (* 16 (/ 1 (* (pow x 4) y)))) y)) (* 4 (/ 1 (pow x 2)))) y)) (* 2 (/ 1 x)))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
Calls

78 calls:

TimeVariablePointExpression
3.0ms
x
@0
(- x (/ 2 x))
1.0ms
y
@0
(- x (/ y (* 1/2 (* y x))))
0.0ms
x
@-inf
(/ 1 (+ 1 (/ x (/ 2 y))))
0.0ms
x
@inf
(/ 1 (+ 1 (/ x (/ 2 y))))
0.0ms
y
@-inf
(/ (+ 1 (/ x (/ 2 y))) y)

rewrite373.0ms (2.6%)

Memory
26.7MiB live, 712.9MiB allocated
Algorithm
batch-egg-rewrite
Rules
4 958×*-lowering-*.f32
4 958×*-lowering-*.f64
4 892×accelerator-lowering-fma.f32
4 892×accelerator-lowering-fma.f64
4 742×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
020110
1146102
21226102
0814494
Stop Event
iter limit
node limit
Counts
14 → 556
Calls
Call 1
Inputs
(* (/ 1 (+ 1 (/ x (/ 2 y)))) y)
(- x (* (/ 1 (+ 1 (/ x (/ 2 y)))) y))
(/ 1 (+ 1 (/ x (/ 2 y))))
(+ 1 (/ x (/ 2 y)))
(- x (/ 2 x))
(/ 2 x)
(/ y (* 1/2 (* y x)))
(- x (/ y (* 1/2 (* y x))))
(* 1/2 (* y x))
(* y x)
(/ (+ 1 (/ x (/ 2 y))) y)
(- x (/ 1 (/ (+ 1 (/ x (/ 2 y))) y)))
(/ 1 (/ (+ 1 (/ x (/ 2 y))) y))
(/ x (/ 2 y))
Outputs
(exp.f64 (log.f64 (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 2 binary64) y))))))
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 x y) #s(literal -1/2 binary64)))) (/.f64 y (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 x y) #s(literal -1/2 binary64)))))
(neg.f64 (/.f64 y (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 x y) #s(literal -1/2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 2 binary64) y))) y))
(/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 2 binary64) y))))
(/.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 x y) #s(literal -1/2 binary64)))) (/.f64 #s(literal 1 binary64) y))
(/.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 x y) #s(literal -1/2 binary64))) y))
(/.f64 (-.f64 #s(literal 0 binary64) y) (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 x y) #s(literal -1/2 binary64))))
(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 x y) #s(literal -1/2 binary64)))) (neg.f64 (/.f64 #s(literal 1 binary64) y)))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) y)) (neg.f64 (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 x y) #s(literal -1/2 binary64)))))
(/.f64 (*.f64 y #s(literal -1 binary64)) (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 x y) #s(literal -1/2 binary64))))
(/.f64 (neg.f64 (*.f64 y #s(literal -1 binary64))) (neg.f64 (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 x y) #s(literal -1/2 binary64)))))
(pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 2 binary64) y))) y) #s(literal -1 binary64))
(pow.f64 (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 2 binary64) y)))) #s(literal 1 binary64))
(pow.f64 (*.f64 (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 x y) #s(literal -1/2 binary64))) y) (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 x y) #s(literal -1/2 binary64))) y)) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 2 binary64) y))) y) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 2 binary64) y)))))
(*.f64 y (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 x y) #s(literal -1/2 binary64)))))
(*.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 x y) #s(literal -1/2 binary64)))) y)
(*.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 x y) #s(literal -1/2 binary64)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)))
(*.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 x y) #s(literal -1/2 binary64)))) (/.f64 y #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 x y) #s(literal -1/2 binary64)))) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 2 binary64) y)))) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 y (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 x y) #s(literal -1/2 binary64)))))
(*.f64 #s(literal -1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 x y) #s(literal -1/2 binary64)))) (/.f64 #s(literal 1 binary64) y)))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 x y) #s(literal -1/2 binary64)))) (-.f64 #s(literal 0 binary64) y))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 x y) #s(literal -1/2 binary64)))) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) y)) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 x y) #s(literal -1/2 binary64)))))
(*.f64 (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 2 binary64) y))) y) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 2 binary64) y))) y) #s(literal -1/2 binary64)))
(*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (*.f64 x x)) (/.f64 #s(literal 8 binary64) (*.f64 y (*.f64 y y)))))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 x (/.f64 #s(literal 2 binary64) y)) #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 x y)))))
(*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (*.f64 x x)) (/.f64 #s(literal 8 binary64) (*.f64 y (*.f64 y y)))))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 x (/.f64 #s(literal 2 binary64) y)) #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 x y)))))))
(*.f64 (/.f64 y (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x y) (*.f64 x y))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x y) #s(literal -1/2 binary64))))
(*.f64 (/.f64 y (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x y) (*.f64 x y))))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x y) #s(literal -1/2 binary64))))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (*.f64 x x)) (/.f64 #s(literal 8 binary64) (*.f64 y (*.f64 y y)))))) (/.f64 y (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 x (/.f64 #s(literal 2 binary64) y)) #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 x y)))))))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x y) (*.f64 x y))))) (/.f64 y (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x y) #s(literal -1/2 binary64))))))
(*.f64 (/.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 x y) #s(literal -1/2 binary64)))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)))
(*.f64 (/.f64 y #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 x y) #s(literal -1/2 binary64)))))
(*.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 2 binary64) y))) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 2 binary64) y))) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) y)))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (*.f64 x x)) (/.f64 #s(literal 8 binary64) (*.f64 y (*.f64 y y)))))) #s(literal 1 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 x (/.f64 #s(literal 2 binary64) y)) #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 x y)))) (/.f64 #s(literal 1 binary64) y)))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x y) (*.f64 x y))))) #s(literal 1 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x y) #s(literal -1/2 binary64))) (/.f64 #s(literal 1 binary64) y)))
(+.f64 x (/.f64 y (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 x y) #s(literal -1/2 binary64)))))
(+.f64 (/.f64 y (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 x y) #s(literal -1/2 binary64)))) x)
(-.f64 x (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 2 binary64) y)))))
(-.f64 (/.f64 (*.f64 x (*.f64 x x)) (+.f64 (*.f64 x x) (*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 2 binary64) y)))) (+.f64 x (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 2 binary64) y)))))))) (/.f64 (*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 2 binary64) y)))) (/.f64 (/.f64 y (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 x y) #s(literal -1/2 binary64)))) (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 x y) #s(literal -1/2 binary64))) y))) (+.f64 (*.f64 x x) (*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 2 binary64) y)))) (+.f64 x (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 2 binary64) y)))))))))
(-.f64 (/.f64 (*.f64 x x) (+.f64 x (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 2 binary64) y)))))) (/.f64 (/.f64 (/.f64 y (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 x y) #s(literal -1/2 binary64)))) (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 x y) #s(literal -1/2 binary64))) y)) (+.f64 x (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 2 binary64) y)))))))
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (/.f64 y (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 x y) #s(literal -1/2 binary64)))))) (/.f64 (/.f64 (/.f64 y (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 x y) #s(literal -1/2 binary64)))) (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 x y) #s(literal -1/2 binary64))) y)) (-.f64 x (/.f64 y (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 x y) #s(literal -1/2 binary64)))))))
(fma.f64 #s(literal 1 binary64) (/.f64 y (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 x y) #s(literal -1/2 binary64)))) x)
(fma.f64 y (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 x y) #s(literal -1/2 binary64)))) x)
(fma.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 x y) #s(literal -1/2 binary64)))) (-.f64 #s(literal 0 binary64) y) x)
(fma.f64 #s(literal -1 binary64) (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 2 binary64) y)))) x)
(fma.f64 (-.f64 #s(literal 0 binary64) y) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 x y) #s(literal -1/2 binary64)))) x)
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 x y) #s(literal -1/2 binary64)))) y x)
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 x y) #s(literal -1/2 binary64)))) (/.f64 y #s(literal 1 binary64)) x)
(fma.f64 (/.f64 y #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 x y) #s(literal -1/2 binary64)))) x)
(fma.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (*.f64 x x)) (/.f64 #s(literal 8 binary64) (*.f64 y (*.f64 y y)))))) (/.f64 y (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 x (/.f64 #s(literal 2 binary64) y)) #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 x y)))))) x)
(fma.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x y) (*.f64 x y))))) (/.f64 y (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x y) #s(literal -1/2 binary64))))) x)
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 x x) (*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 2 binary64) y)))) (+.f64 x (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 2 binary64) y))))))) (+.f64 (*.f64 x (*.f64 x x)) (*.f64 (/.f64 (/.f64 y (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 x y) #s(literal -1/2 binary64)))) (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 x y) #s(literal -1/2 binary64))) y)) (/.f64 y (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 x y) #s(literal -1/2 binary64))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 2 binary64) y))))) (-.f64 (*.f64 x x) (/.f64 (/.f64 y (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 x y) #s(literal -1/2 binary64)))) (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 x y) #s(literal -1/2 binary64))) y)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 (*.f64 x x) (*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 2 binary64) y)))) (+.f64 x (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 2 binary64) y))))))) (+.f64 (*.f64 x (*.f64 x x)) (*.f64 (/.f64 (/.f64 y (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 x y) #s(literal -1/2 binary64)))) (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 x y) #s(literal -1/2 binary64))) y)) (/.f64 y (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 x y) #s(literal -1/2 binary64)))))))))
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(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 x y) #s(literal -1/2 binary64)))) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) y)) #s(literal -1 binary64)))
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(*.f64 (/.f64 y (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x y) (*.f64 x y))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x y) #s(literal -1/2 binary64))))
(*.f64 (/.f64 y (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x y) (*.f64 x y))))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x y) #s(literal -1/2 binary64))))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (*.f64 x x)) (/.f64 #s(literal 8 binary64) (*.f64 y (*.f64 y y)))))) (/.f64 y (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 x (/.f64 #s(literal 2 binary64) y)) #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 x y)))))))
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(*.f64 (/.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 x y) #s(literal -1/2 binary64)))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)))
(*.f64 (/.f64 y #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 x y) #s(literal -1/2 binary64)))))
(*.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 2 binary64) y))) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 2 binary64) y))) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) y)))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (*.f64 x x)) (/.f64 #s(literal 8 binary64) (*.f64 y (*.f64 y y)))))) #s(literal 1 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 x (/.f64 #s(literal 2 binary64) y)) #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 x y)))) (/.f64 #s(literal 1 binary64) y)))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x y) (*.f64 x y))))) #s(literal 1 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x y) #s(literal -1/2 binary64))) (/.f64 #s(literal 1 binary64) y)))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 2 binary64) (*.f64 x y))) #s(literal -1 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal -2 binary64) y)) (*.f64 (*.f64 x y) #s(literal -1/2 binary64)))
(neg.f64 (*.f64 (*.f64 x y) #s(literal -1/2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x y)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 2 binary64) (*.f64 x y)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 #s(literal 2 binary64) (*.f64 x y)))))
(/.f64 x (/.f64 #s(literal 2 binary64) y))
(/.f64 (*.f64 x y) #s(literal 2 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 2 binary64) (*.f64 x y))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 #s(literal 2 binary64) (*.f64 x y)) #s(literal 1 binary64))))
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(*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 0 binary64) x) (neg.f64 (/.f64 #s(literal 1 binary64) y))))
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(*.f64 (/.f64 x #s(literal 2 binary64)) y)
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(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) (/.f64 x #s(literal 2 binary64)))
(*.f64 (*.f64 #s(literal 1 binary64) x) (/.f64 y #s(literal 2 binary64)))
(*.f64 #s(literal -1/2 binary64) (/.f64 x (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) y))))
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(*.f64 #s(literal -1/2 binary64) (/.f64 x (neg.f64 (/.f64 #s(literal 1 binary64) y))))
(*.f64 (/.f64 x #s(literal 1 binary64)) (/.f64 y #s(literal 2 binary64)))
(*.f64 (*.f64 #s(literal 1/2 binary64) x) y)
(*.f64 (*.f64 #s(literal 1 binary64) (/.f64 x #s(literal 2 binary64))) y)
(*.f64 (/.f64 x #s(literal -2 binary64)) (-.f64 #s(literal 0 binary64) y))
(*.f64 (/.f64 x #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) y))))
(*.f64 (/.f64 x (/.f64 #s(literal 1 binary64) y)) #s(literal 1/2 binary64))

simplify482.0ms (3.3%)

Memory
7.0MiB live, 777.5MiB allocated
Algorithm
egg-herbie
Rules
12 342×accelerator-lowering-fma.f32
12 342×accelerator-lowering-fma.f64
5 426×*-lowering-*.f32
5 426×*-lowering-*.f64
3 048×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03052818
19842756
225422460
083142364
Stop Event
iter limit
node limit
Counts
312 → 312
Calls
Call 1
Inputs
y
(+ y (* -1/2 (* x (pow y 2))))
(+ y (* x (- (* 1/4 (* x (pow y 3))) (* 1/2 (pow y 2)))))
(+ y (* x (- (* x (- (* -1/8 (* x (pow y 4))) (* -1/4 (pow y 3)))) (* 1/2 (pow y 2)))))
(/ 2 x)
(/ (- 2 (* 4 (/ 1 (* x y)))) x)
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(/ (- (+ 2 (* 8 (/ 1 (* (pow x 2) (pow y 2))))) (+ (* 16 (/ 1 (* (pow x 3) (pow y 3)))) (/ 4 (* x y)))) x)
(/ 2 x)
(* -1 (/ (- (* 4 (/ 1 (* x y))) 2) x))
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(/ 2 x)
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(- (+ (* 2 (/ 1 x)) (* 8 (/ 1 (* (pow x 3) (pow y 2))))) (+ (* 16 (/ 1 (* (pow x 4) (pow y 3)))) (/ 4 (* (pow x 2) y))))
(/ 2 x)
(- (* 2 (/ 1 x)) (* 4 (/ 1 (* (pow x 2) y))))
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(+ (* -1 (/ (+ (* -1 (/ (- (* 8 (/ 1 (pow x 3))) (* 16 (/ 1 (* (pow x 4) y)))) y)) (* 4 (/ 1 (pow x 2)))) y)) (* 2 (/ 1 x)))
(* -1 y)
(- (* x (+ 1 (* 1/2 (pow y 2)))) y)
(- (* x (+ 1 (+ (* -1/4 (* x (pow y 3))) (* 1/2 (pow y 2))))) y)
(- (* x (+ 1 (+ (* 1/2 (pow y 2)) (* x (+ (* -1/4 (pow y 3)) (* 1/8 (* x (pow y 4)))))))) y)
x
(* x (- 1 (* 2 (/ 1 (pow x 2)))))
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(* x (- (+ 1 (* 4 (/ 1 (* (pow x 3) y)))) (+ (* 8 (/ 1 (* (pow x 4) (pow y 2)))) (* 2 (/ 1 (pow x 2))))))
x
(* -1 (* x (- (* 2 (/ 1 (pow x 2))) 1)))
(* -1 (* x (- (* 2 (/ 1 (pow x 2))) (+ 1 (/ 4 (* (pow x 3) y))))))
(* -1 (* x (- (+ (* -1 (/ (- (* 4 (/ 1 y)) (* 8 (/ 1 (* x (pow y 2))))) (pow x 3))) (* 2 (/ 1 (pow x 2)))) 1)))
x
(+ x (* -1 y))
(+ x (* y (- (* 1/2 (* x y)) 1)))
(+ x (* y (- (* y (+ (* -1/4 (* (pow x 2) y)) (* 1/2 x))) 1)))
(- x (* 2 (/ 1 x)))
(- (+ x (* 4 (/ 1 (* (pow x 2) y)))) (* 2 (/ 1 x)))
(- (+ x (/ 4 (* (pow x 2) y))) (+ (* 2 (/ 1 x)) (/ 8 (* (pow x 3) (pow y 2)))))
(- (+ x (+ (* 16 (/ 1 (* (pow x 4) (pow y 3)))) (/ 4 (* (pow x 2) y)))) (+ (* 2 (/ 1 x)) (* 8 (/ 1 (* (pow x 3) (pow y 2))))))
(- x (* 2 (/ 1 x)))
(- (+ x (* 4 (/ 1 (* (pow x 2) y)))) (* 2 (/ 1 x)))
(- (+ x (* -1 (/ (- (* 8 (/ 1 (* (pow x 3) y))) (* 4 (/ 1 (pow x 2)))) y))) (* 2 (/ 1 x)))
(- (+ x (* -1 (/ (- (* -1 (/ (- (* 16 (/ 1 (* (pow x 4) y))) (* 8 (/ 1 (pow x 3)))) y)) (* 4 (/ 1 (pow x 2)))) y))) (* 2 (/ 1 x)))
1
(+ 1 (* -1/2 (* x y)))
(+ 1 (* x (- (* 1/4 (* x (pow y 2))) (* 1/2 y))))
(+ 1 (* x (- (* x (- (* -1/8 (* x (pow y 3))) (* -1/4 (pow y 2)))) (* 1/2 y))))
(/ 2 (* x y))
(/ (- (* 2 (/ 1 y)) (* 4 (/ 1 (* x (pow y 2))))) x)
(/ (- (+ (* 2 (/ 1 y)) (/ 8 (* (pow x 2) (pow y 3)))) (/ 4 (* x (pow y 2)))) x)
(/ (- (+ (* 2 (/ 1 y)) (* 8 (/ 1 (* (pow x 2) (pow y 3))))) (+ (* 16 (/ 1 (* (pow x 3) (pow y 4)))) (/ 4 (* x (pow y 2))))) x)
(/ 2 (* x y))
(* -1 (/ (- (* 4 (/ 1 (* x (pow y 2)))) (* 2 (/ 1 y))) x))
(* -1 (/ (- (* -1 (/ (- (* 8 (/ 1 (* x (pow y 3)))) (* 4 (/ 1 (pow y 2)))) x)) (* 2 (/ 1 y))) x))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 16 (/ 1 (* x (pow y 4)))) (* 8 (/ 1 (pow y 3)))) x)) (* 4 (/ 1 (pow y 2)))) x)) (* 2 (/ 1 y))) x))
1
(+ 1 (* -1/2 (* x y)))
(+ 1 (* y (- (* 1/4 (* (pow x 2) y)) (* 1/2 x))))
(+ 1 (* y (- (* y (- (* -1/8 (* (pow x 3) y)) (* -1/4 (pow x 2)))) (* 1/2 x))))
(/ 2 (* x y))
(/ (- (* 2 (/ 1 x)) (* 4 (/ 1 (* (pow x 2) y)))) y)
(/ (- (+ (* 2 (/ 1 x)) (/ 8 (* (pow x 3) (pow y 2)))) (/ 4 (* (pow x 2) y))) y)
(/ (- (+ (* 2 (/ 1 x)) (* 8 (/ 1 (* (pow x 3) (pow y 2))))) (+ (* 16 (/ 1 (* (pow x 4) (pow y 3)))) (/ 4 (* (pow x 2) y)))) y)
(/ 2 (* x y))
(* -1 (/ (- (* 4 (/ 1 (* (pow x 2) y))) (* 2 (/ 1 x))) y))
(* -1 (/ (- (* -1 (/ (- (* 8 (/ 1 (* (pow x 3) y))) (* 4 (/ 1 (pow x 2)))) y)) (* 2 (/ 1 x))) y))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 16 (/ 1 (* (pow x 4) y))) (* 8 (/ 1 (pow x 3)))) y)) (* 4 (/ 1 (pow x 2)))) y)) (* 2 (/ 1 x))) y))
1
(+ 1 (* 1/2 (* x y)))
(+ 1 (* 1/2 (* x y)))
(+ 1 (* 1/2 (* x y)))
(* 1/2 (* x y))
(* x (+ (* 1/2 y) (/ 1 x)))
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(* x (+ (* 1/2 y) (/ 1 x)))
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(* -1 (* x (- (* -1/2 y) (/ 1 x))))
(* -1 (* x (- (* -1/2 y) (/ 1 x))))
(* -1 (* x (- (* -1/2 y) (/ 1 x))))
1
(+ 1 (* 1/2 (* x y)))
(+ 1 (* 1/2 (* x y)))
(+ 1 (* 1/2 (* x y)))
(* 1/2 (* x y))
(* y (+ (* 1/2 x) (/ 1 y)))
(* y (+ (* 1/2 x) (/ 1 y)))
(* y (+ (* 1/2 x) (/ 1 y)))
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(* -1 (* y (- (* -1/2 x) (/ 1 y))))
(* -1 (* y (- (* -1/2 x) (/ 1 y))))
(/ -2 x)
(/ (- (pow x 2) 2) x)
(/ (- (pow x 2) 2) x)
(/ (- (pow x 2) 2) x)
x
(* x (- 1 (* 2 (/ 1 (pow x 2)))))
(* x (- 1 (* 2 (/ 1 (pow x 2)))))
(* x (- 1 (* 2 (/ 1 (pow x 2)))))
x
(* -1 (* x (- (* 2 (/ 1 (pow x 2))) 1)))
(* -1 (* x (- (* 2 (/ 1 (pow x 2))) 1)))
(* -1 (* x (- (* 2 (/ 1 (pow x 2))) 1)))
(/ 2 x)
(/ 2 x)
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(/ 2 x)
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(/ 2 x)
(/ 2 x)
(/ 2 x)
(/ 2 x)
(/ 2 x)
(/ 2 x)
(/ 2 x)
(/ 2 x)
(/ 2 x)
(/ 2 x)
(/ 2 x)
(/ -2 x)
(/ (- (pow x 2) 2) x)
(/ (- (pow x 2) 2) x)
(/ (- (pow x 2) 2) x)
x
(* x (- 1 (* 2 (/ 1 (pow x 2)))))
(* x (- 1 (* 2 (/ 1 (pow x 2)))))
(* x (- 1 (* 2 (/ 1 (pow x 2)))))
x
(* -1 (* x (- (* 2 (/ 1 (pow x 2))) 1)))
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(- x (* 2 (/ 1 x)))
(- x (* 2 (/ 1 x)))
(- x (* 2 (/ 1 x)))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
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(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
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(/ 1 y)
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(* 1/2 x)
(* x (+ 1/2 (/ 1 (* x y))))
(* x (+ 1/2 (/ 1 (* x y))))
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(* 1/2 x)
(* x (+ 1/2 (/ 1 (* x y))))
(* x (+ 1/2 (/ 1 (* x y))))
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(/ 1 y)
(/ (+ 1 (* 1/2 (* x y))) y)
(/ (+ 1 (* 1/2 (* x y))) y)
(/ (+ 1 (* 1/2 (* x y))) y)
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(+ (* 1/2 x) (/ 1 y))
(+ (* 1/2 x) (/ 1 y))
(+ (* 1/2 x) (/ 1 y))
(* 1/2 x)
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(+ (* 1/2 x) (/ 1 y))
(+ (* 1/2 x) (/ 1 y))
(* -1 y)
(- (* x (+ 1 (* 1/2 (pow y 2)))) y)
(- (* x (+ 1 (+ (* -1/4 (* x (pow y 3))) (* 1/2 (pow y 2))))) y)
(- (* x (+ 1 (+ (* 1/2 (pow y 2)) (* x (+ (* -1/4 (pow y 3)) (* 1/8 (* x (pow y 4)))))))) y)
x
(* x (- 1 (* 2 (/ 1 (pow x 2)))))
(* x (- (+ 1 (/ 4 (* (pow x 3) y))) (* 2 (/ 1 (pow x 2)))))
(* x (- (+ 1 (* 4 (/ 1 (* (pow x 3) y)))) (+ (* 8 (/ 1 (* (pow x 4) (pow y 2)))) (* 2 (/ 1 (pow x 2))))))
x
(* -1 (* x (- (* 2 (/ 1 (pow x 2))) 1)))
(* -1 (* x (- (* 2 (/ 1 (pow x 2))) (+ 1 (/ 4 (* (pow x 3) y))))))
(* -1 (* x (- (+ (* -1 (/ (- (* 4 (/ 1 y)) (* 8 (/ 1 (* x (pow y 2))))) (pow x 3))) (* 2 (/ 1 (pow x 2)))) 1)))
x
(+ x (* -1 y))
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(- x (* 2 (/ 1 x)))
(- (+ x (* 4 (/ 1 (* (pow x 2) y)))) (* 2 (/ 1 x)))
(- (+ x (/ 4 (* (pow x 2) y))) (+ (* 2 (/ 1 x)) (/ 8 (* (pow x 3) (pow y 2)))))
(- (+ x (+ (* 16 (/ 1 (* (pow x 4) (pow y 3)))) (/ 4 (* (pow x 2) y)))) (+ (* 2 (/ 1 x)) (* 8 (/ 1 (* (pow x 3) (pow y 2))))))
(- x (* 2 (/ 1 x)))
(- (+ x (* 4 (/ 1 (* (pow x 2) y)))) (* 2 (/ 1 x)))
(- (+ x (* -1 (/ (- (* 8 (/ 1 (* (pow x 3) y))) (* 4 (/ 1 (pow x 2)))) y))) (* 2 (/ 1 x)))
(- (+ x (* -1 (/ (- (* -1 (/ (- (* 16 (/ 1 (* (pow x 4) y))) (* 8 (/ 1 (pow x 3)))) y)) (* 4 (/ 1 (pow x 2)))) y))) (* 2 (/ 1 x)))
y
(+ y (* -1/2 (* x (pow y 2))))
(+ y (* x (- (* 1/4 (* x (pow y 3))) (* 1/2 (pow y 2)))))
(+ y (* x (- (* x (- (* -1/8 (* x (pow y 4))) (* -1/4 (pow y 3)))) (* 1/2 (pow y 2)))))
(/ 2 x)
(/ (- 2 (* 4 (/ 1 (* x y)))) x)
(/ (- (+ 2 (/ 8 (* (pow x 2) (pow y 2)))) (/ 4 (* x y))) x)
(/ (- (+ 2 (* 8 (/ 1 (* (pow x 2) (pow y 2))))) (+ (* 16 (/ 1 (* (pow x 3) (pow y 3)))) (/ 4 (* x y)))) x)
(/ 2 x)
(* -1 (/ (- (* 4 (/ 1 (* x y))) 2) x))
(* -1 (/ (- (* -1 (/ (- (* 8 (/ 1 (* x (pow y 2)))) (* 4 (/ 1 y))) x)) 2) x))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 16 (/ 1 (* x (pow y 3)))) (* 8 (/ 1 (pow y 2)))) x)) (* 4 (/ 1 y))) x)) 2) x))
y
(* y (+ 1 (* -1/2 (* x y))))
(* y (+ 1 (* y (- (* 1/4 (* (pow x 2) y)) (* 1/2 x)))))
(* y (+ 1 (* y (- (* y (- (* -1/8 (* (pow x 3) y)) (* -1/4 (pow x 2)))) (* 1/2 x)))))
(/ 2 x)
(- (* 2 (/ 1 x)) (* 4 (/ 1 (* (pow x 2) y))))
(- (+ (* 2 (/ 1 x)) (/ 8 (* (pow x 3) (pow y 2)))) (/ 4 (* (pow x 2) y)))
(- (+ (* 2 (/ 1 x)) (* 8 (/ 1 (* (pow x 3) (pow y 2))))) (+ (* 16 (/ 1 (* (pow x 4) (pow y 3)))) (/ 4 (* (pow x 2) y))))
(/ 2 x)
(- (* 2 (/ 1 x)) (* 4 (/ 1 (* (pow x 2) y))))
(+ (* -1 (/ (- (* 4 (/ 1 (pow x 2))) (* 8 (/ 1 (* (pow x 3) y)))) y)) (* 2 (/ 1 x)))
(+ (* -1 (/ (+ (* -1 (/ (- (* 8 (/ 1 (pow x 3))) (* 16 (/ 1 (* (pow x 4) y)))) y)) (* 4 (/ 1 (pow x 2)))) y)) (* 2 (/ 1 x)))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
Outputs
y
(+ y (* -1/2 (* x (pow y 2))))
(*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 #s(literal -1/2 binary64) x))))
(+ y (* x (- (* 1/4 (* x (pow y 3))) (* 1/2 (pow y 2)))))
(*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 y x)) #s(literal -1/2 binary64))))))
(+ y (* x (- (* x (- (* -1/8 (* x (pow y 4))) (* -1/4 (pow y 3)))) (* 1/2 (pow y 2)))))
(+.f64 y (*.f64 x (+.f64 (*.f64 x (*.f64 x (*.f64 #s(literal -1/8 binary64) (pow.f64 y #s(literal 4 binary64))))) (*.f64 y (*.f64 y (+.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 y x)) #s(literal -1/2 binary64)))))))
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
(/ (- 2 (* 4 (/ 1 (* x y)))) x)
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -4 binary64) (*.f64 y x))) x)
(/ (- (+ 2 (/ 8 (* (pow x 2) (pow y 2)))) (/ 4 (* x y))) x)
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 8 binary64) (*.f64 y (*.f64 y x))) (/.f64 #s(literal -4 binary64) y)) x)) x)
(/ (- (+ 2 (* 8 (/ 1 (* (pow x 2) (pow y 2))))) (+ (* 16 (/ 1 (* (pow x 3) (pow y 3)))) (/ 4 (* x y)))) x)
(/.f64 (+.f64 #s(literal 2 binary64) (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 8 binary64) (*.f64 y (*.f64 y x))) (/.f64 #s(literal -4 binary64) y)) x) (/.f64 #s(literal -16 binary64) (*.f64 x (*.f64 x (*.f64 y (*.f64 y (*.f64 y x)))))))) x)
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
(* -1 (/ (- (* 4 (/ 1 (* x y))) 2) x))
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -4 binary64) (*.f64 y x))) x)
(* -1 (/ (- (* -1 (/ (- (* 8 (/ 1 (* x (pow y 2)))) (* 4 (/ 1 y))) x)) 2) x))
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 8 binary64) (*.f64 y (*.f64 y x))) (/.f64 #s(literal -4 binary64) y)) x)) x)
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 16 (/ 1 (* x (pow y 3)))) (* 8 (/ 1 (pow y 2)))) x)) (* 4 (/ 1 y))) x)) 2) x))
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 8 binary64) (*.f64 y y)) (/.f64 #s(literal -16 binary64) (*.f64 y (*.f64 y (*.f64 y x))))) x) (/.f64 #s(literal -4 binary64) y)) x)) x)
y
(* y (+ 1 (* -1/2 (* x y))))
(*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 #s(literal -1/2 binary64) x))))
(* y (+ 1 (* y (- (* 1/4 (* (pow x 2) y)) (* 1/2 x)))))
(*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 y x)) #s(literal -1/2 binary64))))))
(* y (+ 1 (* y (- (* y (- (* -1/8 (* (pow x 3) y)) (* -1/4 (pow x 2)))) (* 1/2 x)))))
(*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 (*.f64 y (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 x (*.f64 y (*.f64 x x)))) (*.f64 x (*.f64 x #s(literal 1/4 binary64))))) (*.f64 #s(literal -1/2 binary64) x)))))
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
(- (* 2 (/ 1 x)) (* 4 (/ 1 (* (pow x 2) y))))
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -4 binary64) (*.f64 y x))) x)
(- (+ (* 2 (/ 1 x)) (/ 8 (* (pow x 3) (pow y 2)))) (/ 4 (* (pow x 2) y)))
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 8 binary64) (*.f64 y (*.f64 y x))) (/.f64 #s(literal -4 binary64) y)) x)) x)
(- (+ (* 2 (/ 1 x)) (* 8 (/ 1 (* (pow x 3) (pow y 2))))) (+ (* 16 (/ 1 (* (pow x 4) (pow y 3)))) (/ 4 (* (pow x 2) y))))
(+.f64 (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 8 binary64) (*.f64 y (*.f64 y x))) (/.f64 #s(literal -4 binary64) y)) x)) x) (/.f64 (/.f64 #s(literal -16 binary64) (*.f64 y (pow.f64 x #s(literal 4 binary64)))) (*.f64 y y)))
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
(- (* 2 (/ 1 x)) (* 4 (/ 1 (* (pow x 2) y))))
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -4 binary64) (*.f64 y x))) x)
(+ (* -1 (/ (- (* 4 (/ 1 (pow x 2))) (* 8 (/ 1 (* (pow x 3) y)))) y)) (* 2 (/ 1 x)))
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 8 binary64) (*.f64 y (*.f64 y x))) (/.f64 #s(literal -4 binary64) y)) x)) x)
(+ (* -1 (/ (+ (* -1 (/ (- (* 8 (/ 1 (pow x 3))) (* 16 (/ 1 (* (pow x 4) y)))) y)) (* 4 (/ 1 (pow x 2)))) y)) (* 2 (/ 1 x)))
(+.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 8 binary64) (*.f64 x (*.f64 x x))) (/.f64 #s(literal -16 binary64) (*.f64 y (pow.f64 x #s(literal 4 binary64))))) y) (/.f64 #s(literal -4 binary64) (*.f64 x x))) y))
(* -1 y)
(-.f64 #s(literal 0 binary64) y)
(- (* x (+ 1 (* 1/2 (pow y 2)))) y)
(-.f64 (*.f64 x (+.f64 (*.f64 (*.f64 y y) #s(literal 1/2 binary64)) #s(literal 1 binary64))) y)
(- (* x (+ 1 (+ (* -1/4 (* x (pow y 3))) (* 1/2 (pow y 2))))) y)
(-.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 y x)))))) y)
(- (* x (+ 1 (+ (* 1/2 (pow y 2)) (* x (+ (* -1/4 (pow y 3)) (* 1/8 (* x (pow y 4)))))))) y)
(-.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 (*.f64 y y) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 y x)))) (*.f64 x (*.f64 (*.f64 x (pow.f64 y #s(literal 4 binary64))) #s(literal 1/8 binary64)))))) y)
x
(* x (- 1 (* 2 (/ 1 (pow x 2)))))
(+.f64 x (/.f64 #s(literal -2 binary64) x))
(* x (- (+ 1 (/ 4 (* (pow x 3) y))) (* 2 (/ 1 (pow x 2)))))
(+.f64 x (/.f64 (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 y x)) #s(literal -2 binary64)) x))
(* x (- (+ 1 (* 4 (/ 1 (* (pow x 3) y)))) (+ (* 8 (/ 1 (* (pow x 4) (pow y 2)))) (* 2 (/ 1 (pow x 2))))))
(+.f64 (+.f64 x (/.f64 #s(literal 4 binary64) (*.f64 y (*.f64 x x)))) (+.f64 (/.f64 #s(literal -2 binary64) x) (*.f64 (/.f64 (/.f64 #s(literal -8 binary64) (*.f64 y y)) (pow.f64 x #s(literal 4 binary64))) x)))
x
(* -1 (* x (- (* 2 (/ 1 (pow x 2))) 1)))
(+.f64 x (/.f64 #s(literal -2 binary64) x))
(* -1 (* x (- (* 2 (/ 1 (pow x 2))) (+ 1 (/ 4 (* (pow x 3) y))))))
(+.f64 x (/.f64 (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 y x)) #s(literal -2 binary64)) x))
(* -1 (* x (- (+ (* -1 (/ (- (* 4 (/ 1 y)) (* 8 (/ 1 (* x (pow y 2))))) (pow x 3))) (* 2 (/ 1 (pow x 2)))) 1)))
(+.f64 x (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 4 binary64) y) (/.f64 #s(literal -8 binary64) (*.f64 y (*.f64 y x)))) x)) x))
x
(+ x (* -1 y))
(-.f64 x y)
(+ x (* y (- (* 1/2 (* x y)) 1)))
(-.f64 (*.f64 x (+.f64 (*.f64 (*.f64 y y) #s(literal 1/2 binary64)) #s(literal 1 binary64))) y)
(+ x (* y (- (* y (+ (* -1/4 (* (pow x 2) y)) (* 1/2 x))) 1)))
(-.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 y x)))))) y)
(- x (* 2 (/ 1 x)))
(+.f64 x (/.f64 #s(literal -2 binary64) x))
(- (+ x (* 4 (/ 1 (* (pow x 2) y)))) (* 2 (/ 1 x)))
(+.f64 x (/.f64 (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 y x)) #s(literal -2 binary64)) x))
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(- (* x (+ 1 (+ (* -1/4 (* x (pow y 3))) (* 1/2 (pow y 2))))) y)
(-.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 y x)))))) y)
(- (* x (+ 1 (+ (* 1/2 (pow y 2)) (* x (+ (* -1/4 (pow y 3)) (* 1/8 (* x (pow y 4)))))))) y)
(-.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 (*.f64 y y) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 y x)))) (*.f64 x (*.f64 (*.f64 x (pow.f64 y #s(literal 4 binary64))) #s(literal 1/8 binary64)))))) y)
x
(* x (- 1 (* 2 (/ 1 (pow x 2)))))
(+.f64 x (/.f64 #s(literal -2 binary64) x))
(* x (- (+ 1 (/ 4 (* (pow x 3) y))) (* 2 (/ 1 (pow x 2)))))
(+.f64 x (/.f64 (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 y x)) #s(literal -2 binary64)) x))
(* x (- (+ 1 (* 4 (/ 1 (* (pow x 3) y)))) (+ (* 8 (/ 1 (* (pow x 4) (pow y 2)))) (* 2 (/ 1 (pow x 2))))))
(+.f64 (+.f64 x (/.f64 #s(literal 4 binary64) (*.f64 y (*.f64 x x)))) (+.f64 (/.f64 #s(literal -2 binary64) x) (*.f64 (/.f64 (/.f64 #s(literal -8 binary64) (*.f64 y y)) (pow.f64 x #s(literal 4 binary64))) x)))
x
(* -1 (* x (- (* 2 (/ 1 (pow x 2))) 1)))
(+.f64 x (/.f64 #s(literal -2 binary64) x))
(* -1 (* x (- (* 2 (/ 1 (pow x 2))) (+ 1 (/ 4 (* (pow x 3) y))))))
(+.f64 x (/.f64 (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 y x)) #s(literal -2 binary64)) x))
(* -1 (* x (- (+ (* -1 (/ (- (* 4 (/ 1 y)) (* 8 (/ 1 (* x (pow y 2))))) (pow x 3))) (* 2 (/ 1 (pow x 2)))) 1)))
(+.f64 x (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 4 binary64) y) (/.f64 #s(literal -8 binary64) (*.f64 y (*.f64 y x)))) x)) x))
x
(+ x (* -1 y))
(-.f64 x y)
(+ x (* y (- (* 1/2 (* x y)) 1)))
(-.f64 (*.f64 x (+.f64 (*.f64 (*.f64 y y) #s(literal 1/2 binary64)) #s(literal 1 binary64))) y)
(+ x (* y (- (* y (+ (* -1/4 (* (pow x 2) y)) (* 1/2 x))) 1)))
(-.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 y x)))))) y)
(- x (* 2 (/ 1 x)))
(+.f64 x (/.f64 #s(literal -2 binary64) x))
(- (+ x (* 4 (/ 1 (* (pow x 2) y)))) (* 2 (/ 1 x)))
(+.f64 x (/.f64 (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 y x)) #s(literal -2 binary64)) x))
(- (+ x (/ 4 (* (pow x 2) y))) (+ (* 2 (/ 1 x)) (/ 8 (* (pow x 3) (pow y 2)))))
(+.f64 x (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 4 binary64) y) (/.f64 #s(literal -8 binary64) (*.f64 y (*.f64 y x)))) x)) x))
(- (+ x (+ (* 16 (/ 1 (* (pow x 4) (pow y 3)))) (/ 4 (* (pow x 2) y)))) (+ (* 2 (/ 1 x)) (* 8 (/ 1 (* (pow x 3) (pow y 2))))))
(+.f64 x (+.f64 (/.f64 (/.f64 #s(literal 16 binary64) (*.f64 y (*.f64 y y))) (pow.f64 x #s(literal 4 binary64))) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 4 binary64) y) (/.f64 #s(literal -8 binary64) (*.f64 y (*.f64 y x)))) x)) x)))
(- x (* 2 (/ 1 x)))
(+.f64 x (/.f64 #s(literal -2 binary64) x))
(- (+ x (* 4 (/ 1 (* (pow x 2) y)))) (* 2 (/ 1 x)))
(+.f64 x (/.f64 (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 y x)) #s(literal -2 binary64)) x))
(- (+ x (* -1 (/ (- (* 8 (/ 1 (* (pow x 3) y))) (* 4 (/ 1 (pow x 2)))) y))) (* 2 (/ 1 x)))
(+.f64 x (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 4 binary64) y) (/.f64 #s(literal -8 binary64) (*.f64 y (*.f64 y x)))) x)) x))
(- (+ x (* -1 (/ (- (* -1 (/ (- (* 16 (/ 1 (* (pow x 4) y))) (* 8 (/ 1 (pow x 3)))) y)) (* 4 (/ 1 (pow x 2)))) y))) (* 2 (/ 1 x)))
(+.f64 x (-.f64 (/.f64 #s(literal -2 binary64) x) (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 8 binary64) (*.f64 x (*.f64 x x))) (/.f64 #s(literal -16 binary64) (*.f64 y (pow.f64 x #s(literal 4 binary64))))) y) (/.f64 #s(literal -4 binary64) (*.f64 x x))) y)))
y
(+ y (* -1/2 (* x (pow y 2))))
(*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 #s(literal -1/2 binary64) x))))
(+ y (* x (- (* 1/4 (* x (pow y 3))) (* 1/2 (pow y 2)))))
(*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 y x)) #s(literal -1/2 binary64))))))
(+ y (* x (- (* x (- (* -1/8 (* x (pow y 4))) (* -1/4 (pow y 3)))) (* 1/2 (pow y 2)))))
(+.f64 y (*.f64 x (+.f64 (*.f64 x (*.f64 x (*.f64 #s(literal -1/8 binary64) (pow.f64 y #s(literal 4 binary64))))) (*.f64 y (*.f64 y (+.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 y x)) #s(literal -1/2 binary64)))))))
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
(/ (- 2 (* 4 (/ 1 (* x y)))) x)
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -4 binary64) (*.f64 y x))) x)
(/ (- (+ 2 (/ 8 (* (pow x 2) (pow y 2)))) (/ 4 (* x y))) x)
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 8 binary64) (*.f64 y (*.f64 y x))) (/.f64 #s(literal -4 binary64) y)) x)) x)
(/ (- (+ 2 (* 8 (/ 1 (* (pow x 2) (pow y 2))))) (+ (* 16 (/ 1 (* (pow x 3) (pow y 3)))) (/ 4 (* x y)))) x)
(/.f64 (+.f64 #s(literal 2 binary64) (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 8 binary64) (*.f64 y (*.f64 y x))) (/.f64 #s(literal -4 binary64) y)) x) (/.f64 #s(literal -16 binary64) (*.f64 x (*.f64 x (*.f64 y (*.f64 y (*.f64 y x)))))))) x)
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
(* -1 (/ (- (* 4 (/ 1 (* x y))) 2) x))
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -4 binary64) (*.f64 y x))) x)
(* -1 (/ (- (* -1 (/ (- (* 8 (/ 1 (* x (pow y 2)))) (* 4 (/ 1 y))) x)) 2) x))
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 8 binary64) (*.f64 y (*.f64 y x))) (/.f64 #s(literal -4 binary64) y)) x)) x)
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 16 (/ 1 (* x (pow y 3)))) (* 8 (/ 1 (pow y 2)))) x)) (* 4 (/ 1 y))) x)) 2) x))
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 8 binary64) (*.f64 y y)) (/.f64 #s(literal -16 binary64) (*.f64 y (*.f64 y (*.f64 y x))))) x) (/.f64 #s(literal -4 binary64) y)) x)) x)
y
(* y (+ 1 (* -1/2 (* x y))))
(*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 #s(literal -1/2 binary64) x))))
(* y (+ 1 (* y (- (* 1/4 (* (pow x 2) y)) (* 1/2 x)))))
(*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 y x)) #s(literal -1/2 binary64))))))
(* y (+ 1 (* y (- (* y (- (* -1/8 (* (pow x 3) y)) (* -1/4 (pow x 2)))) (* 1/2 x)))))
(*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 (*.f64 y (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 x (*.f64 y (*.f64 x x)))) (*.f64 x (*.f64 x #s(literal 1/4 binary64))))) (*.f64 #s(literal -1/2 binary64) x)))))
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
(- (* 2 (/ 1 x)) (* 4 (/ 1 (* (pow x 2) y))))
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -4 binary64) (*.f64 y x))) x)
(- (+ (* 2 (/ 1 x)) (/ 8 (* (pow x 3) (pow y 2)))) (/ 4 (* (pow x 2) y)))
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 8 binary64) (*.f64 y (*.f64 y x))) (/.f64 #s(literal -4 binary64) y)) x)) x)
(- (+ (* 2 (/ 1 x)) (* 8 (/ 1 (* (pow x 3) (pow y 2))))) (+ (* 16 (/ 1 (* (pow x 4) (pow y 3)))) (/ 4 (* (pow x 2) y))))
(+.f64 (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 8 binary64) (*.f64 y (*.f64 y x))) (/.f64 #s(literal -4 binary64) y)) x)) x) (/.f64 (/.f64 #s(literal -16 binary64) (*.f64 y (pow.f64 x #s(literal 4 binary64)))) (*.f64 y y)))
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
(- (* 2 (/ 1 x)) (* 4 (/ 1 (* (pow x 2) y))))
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -4 binary64) (*.f64 y x))) x)
(+ (* -1 (/ (- (* 4 (/ 1 (pow x 2))) (* 8 (/ 1 (* (pow x 3) y)))) y)) (* 2 (/ 1 x)))
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 8 binary64) (*.f64 y (*.f64 y x))) (/.f64 #s(literal -4 binary64) y)) x)) x)
(+ (* -1 (/ (+ (* -1 (/ (- (* 8 (/ 1 (pow x 3))) (* 16 (/ 1 (* (pow x 4) y)))) y)) (* 4 (/ 1 (pow x 2)))) y)) (* 2 (/ 1 x)))
(+.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 8 binary64) (*.f64 x (*.f64 x x))) (/.f64 #s(literal -16 binary64) (*.f64 y (pow.f64 x #s(literal 4 binary64))))) y) (/.f64 #s(literal -4 binary64) (*.f64 x x))) y))
(* 1/2 (* x y))
(*.f64 x (*.f64 y #s(literal 1/2 binary64)))
(* 1/2 (* x y))
(*.f64 x (*.f64 y #s(literal 1/2 binary64)))
(* 1/2 (* x y))
(*.f64 x (*.f64 y #s(literal 1/2 binary64)))
(* 1/2 (* x y))
(*.f64 x (*.f64 y #s(literal 1/2 binary64)))
(* 1/2 (* x y))
(*.f64 x (*.f64 y #s(literal 1/2 binary64)))
(* 1/2 (* x y))
(*.f64 x (*.f64 y #s(literal 1/2 binary64)))
(* 1/2 (* x y))
(*.f64 x (*.f64 y #s(literal 1/2 binary64)))
(* 1/2 (* x y))
(*.f64 x (*.f64 y #s(literal 1/2 binary64)))
(* 1/2 (* x y))
(*.f64 x (*.f64 y #s(literal 1/2 binary64)))
(* 1/2 (* x y))
(*.f64 x (*.f64 y #s(literal 1/2 binary64)))
(* 1/2 (* x y))
(*.f64 x (*.f64 y #s(literal 1/2 binary64)))
(* 1/2 (* x y))
(*.f64 x (*.f64 y #s(literal 1/2 binary64)))
(* 1/2 (* x y))
(*.f64 x (*.f64 y #s(literal 1/2 binary64)))
(* 1/2 (* x y))
(*.f64 x (*.f64 y #s(literal 1/2 binary64)))
(* 1/2 (* x y))
(*.f64 x (*.f64 y #s(literal 1/2 binary64)))
(* 1/2 (* x y))
(*.f64 x (*.f64 y #s(literal 1/2 binary64)))
(* 1/2 (* x y))
(*.f64 x (*.f64 y #s(literal 1/2 binary64)))
(* 1/2 (* x y))
(*.f64 x (*.f64 y #s(literal 1/2 binary64)))
(* 1/2 (* x y))
(*.f64 x (*.f64 y #s(literal 1/2 binary64)))
(* 1/2 (* x y))
(*.f64 x (*.f64 y #s(literal 1/2 binary64)))
(* 1/2 (* x y))
(*.f64 x (*.f64 y #s(literal 1/2 binary64)))
(* 1/2 (* x y))
(*.f64 x (*.f64 y #s(literal 1/2 binary64)))
(* 1/2 (* x y))
(*.f64 x (*.f64 y #s(literal 1/2 binary64)))
(* 1/2 (* x y))
(*.f64 x (*.f64 y #s(literal 1/2 binary64)))

eval176.0ms (1.2%)

Memory
-1.6MiB live, 265.5MiB allocated
Compiler

Compiled 18 345 to 2 120 computations (88.4% saved)

prune192.0ms (1.3%)

Memory
-16.5MiB live, 156.5MiB allocated
Pruning

13 alts after pruning (8 fresh and 5 done)

PrunedKeptTotal
New1 02661 032
Fresh224
Picked145
Done011
Total1 029131 042
Accuracy
100.0%
Counts
1 042 → 13
Alt Table
Click to see full alt table
StatusAccuracyProgram
11.4%
(/.f64 #s(literal -2 binary64) x)
51.0%
(-.f64 x (/.f64 (/.f64 (/.f64 y #s(literal 1/2 binary64)) x) y))
99.9%
(-.f64 x (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64)))))
56.0%
(-.f64 x (/.f64 y (*.f64 #s(literal 1/2 binary64) (*.f64 y x))))
56.0%
(-.f64 x (/.f64 #s(literal 2 binary64) x))
99.9%
(-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 2 binary64) y))) y)))
75.6%
(-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)))
99.9%
(-.f64 x (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x #s(literal 1/2 binary64)))))
56.0%
(-.f64 x (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 y x)) y))
68.8%
(-.f64 x (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 #s(literal -1/2 binary64) x))) y))
75.7%
(-.f64 x y)
54.3%
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x))))
59.7%
x
Compiler

Compiled 205 to 139 computations (32.2% saved)

simplify5.8s (40.4%)

Memory
25.9MiB live, 297.8MiB allocated
Algorithm
egg-herbie
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 y (*.f64 #s(literal -1/2 binary64) x))
cost-diff0
(+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 #s(literal -1/2 binary64) x)))
cost-diff0
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 #s(literal -1/2 binary64) x))) y)
cost-diff0
(-.f64 x (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 #s(literal -1/2 binary64) x))) y))
cost-diff0
(*.f64 y x)
cost-diff0
(/.f64 #s(literal 2 binary64) (*.f64 y x))
cost-diff0
(-.f64 x (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 y x)) y))
cost-diff256
(*.f64 (/.f64 #s(literal 2 binary64) (*.f64 y x)) y)
cost-diff0
(/.f64 #s(literal 1 binary64) y)
cost-diff0
(-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)))
cost-diff256
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y))
cost-diff0
(-.f64 x y)
cost-diff0
(/.f64 #s(literal 1 binary64) y)
cost-diff0
(+.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x #s(literal 1/2 binary64)))
cost-diff0
(/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x #s(literal 1/2 binary64))))
cost-diff0
(-.f64 x (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x #s(literal 1/2 binary64)))))
Rules
4 376×accelerator-lowering-fma.f32
4 376×accelerator-lowering-fma.f64
3 202×/-lowering-/.f32
3 202×/-lowering-/.f64
2 836×*-lowering-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
023118
157118
2176110
3582110
41488110
52469110
63752110
74752110
85936110
96085110
106099110
116102110
126199110
136274110
146404110
156406110
166406110
08086103
Stop Event
iter limit
node limit
Calls
Call 1
Inputs
(- x (/ 1 (+ (/ 1 y) (* x 1/2))))
x
(/ 1 (+ (/ 1 y) (* x 1/2)))
1
(+ (/ 1 y) (* x 1/2))
(/ 1 y)
y
(* x 1/2)
1/2
(- x y)
x
y
(- x (/ 1 (/ 1 y)))
x
(/ 1 (/ 1 y))
1
(/ 1 y)
y
(- x (* (/ 2 (* y x)) y))
x
(* (/ 2 (* y x)) y)
(/ 2 (* y x))
2
(* y x)
y
(- x (* (+ 1 (* y (* -1/2 x))) y))
x
(* (+ 1 (* y (* -1/2 x))) y)
(+ 1 (* y (* -1/2 x)))
1
(* y (* -1/2 x))
y
(* -1/2 x)
-1/2
Outputs
(- x (/ 1 (+ (/ 1 y) (* x 1/2))))
(+.f64 x (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x #s(literal -1/2 binary64)) (/.f64 #s(literal -1 binary64) y))))
x
(/ 1 (+ (/ 1 y) (* x 1/2)))
(/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x #s(literal 1/2 binary64))))
1
#s(literal 1 binary64)
(+ (/ 1 y) (* x 1/2))
(+.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x #s(literal 1/2 binary64)))
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
y
(* x 1/2)
(*.f64 x #s(literal 1/2 binary64))
1/2
#s(literal 1/2 binary64)
(- x y)
(-.f64 x y)
x
y
(- x (/ 1 (/ 1 y)))
(-.f64 x y)
x
(/ 1 (/ 1 y))
y
1
#s(literal 1 binary64)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
y
(- x (* (/ 2 (* y x)) y))
(+.f64 x (/.f64 #s(literal -2 binary64) x))
x
(* (/ 2 (* y x)) y)
(/.f64 #s(literal 2 binary64) x)
(/ 2 (* y x))
(/.f64 #s(literal 2 binary64) (*.f64 x y))
2
#s(literal 2 binary64)
(* y x)
(*.f64 x y)
y
(- x (* (+ 1 (* y (* -1/2 x))) y))
(-.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y #s(literal -1/2 binary64))))) y)
x
(* (+ 1 (* y (* -1/2 x))) y)
(*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 x #s(literal -1/2 binary64)))))
(+ 1 (* y (* -1/2 x)))
(+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 x #s(literal -1/2 binary64))))
1
#s(literal 1 binary64)
(* y (* -1/2 x))
(*.f64 y (*.f64 x #s(literal -1/2 binary64)))
y
(* -1/2 x)
(*.f64 x #s(literal -1/2 binary64))
-1/2
#s(literal -1/2 binary64)

localize243.0ms (1.7%)

Memory
-4.1MiB live, 113.8MiB allocated
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(*.f64 y (*.f64 #s(literal -1/2 binary64) x))
accuracy100.0%
(*.f64 #s(literal -1/2 binary64) x)
accuracy100.0%
(-.f64 x (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 #s(literal -1/2 binary64) x))) y))
accuracy99.9%
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 #s(literal -1/2 binary64) x))) y)
accuracy100.0%
(*.f64 y x)
accuracy100.0%
(-.f64 x (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 y x)) y))
accuracy99.4%
(/.f64 #s(literal 2 binary64) (*.f64 y x))
accuracy79.5%
(*.f64 (/.f64 #s(literal 2 binary64) (*.f64 y x)) y)
accuracy100.0%
(/.f64 #s(literal 1 binary64) y)
accuracy100.0%
(-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)))
accuracy99.7%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y))
accuracy100.0%
(-.f64 x y)
accuracy100.0%
(*.f64 x #s(literal 1/2 binary64))
accuracy100.0%
(+.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x #s(literal 1/2 binary64)))
accuracy100.0%
(-.f64 x (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x #s(literal 1/2 binary64)))))
accuracy99.8%
(/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x #s(literal 1/2 binary64))))
Samples
216.0ms256×0valid
Compiler

Compiled 128 to 25 computations (80.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 99.0ms
ival-mult: 83.0ms (84.1% of total)
ival-div: 7.0ms (7.1% of total)
ival-sub: 5.0ms (5.1% of total)
ival-add: 2.0ms (2% of total)
exact: 1.0ms (1% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series97.0ms (0.7%)

Memory
-4.9MiB live, 33.5MiB allocated
Counts
17 → 360
Calls
Call 1
Inputs
#<alt (- x (/ 1 (+ (/ 1 y) (* x 1/2))))>
#<alt (/ 1 (+ (/ 1 y) (* x 1/2)))>
#<alt (+ (/ 1 y) (* x 1/2))>
#<alt (/ 1 y)>
#<alt (- x y)>
#<alt (/ 1 (/ 1 y))>
#<alt (- x (/ 1 (/ 1 y)))>
#<alt (* (/ 2 (* y x)) y)>
#<alt (- x (* (/ 2 (* y x)) y))>
#<alt (/ 2 (* y x))>
#<alt (* y x)>
#<alt (- x (* (+ 1 (* y (* -1/2 x))) y))>
#<alt (* (+ 1 (* y (* -1/2 x))) y)>
#<alt (+ 1 (* y (* -1/2 x)))>
#<alt (* y (* -1/2 x))>
#<alt (* x 1/2)>
#<alt (* -1/2 x)>
Outputs
#<alt (* -1 y)>
#<alt (- (* x (+ 1 (* 1/2 (pow y 2)))) y)>
#<alt (- (* x (+ 1 (+ (* -1/4 (* x (pow y 3))) (* 1/2 (pow y 2))))) y)>
#<alt (- (* x (+ 1 (+ (* 1/2 (pow y 2)) (* x (+ (* -1/4 (pow y 3)) (* 1/8 (* x (pow y 4)))))))) y)>
#<alt x>
#<alt (* x (- 1 (* 2 (/ 1 (pow x 2)))))>
#<alt (* x (- (+ 1 (/ 4 (* (pow x 3) y))) (* 2 (/ 1 (pow x 2)))))>
#<alt (* x (- (+ 1 (* 4 (/ 1 (* (pow x 3) y)))) (+ (* 8 (/ 1 (* (pow x 4) (pow y 2)))) (* 2 (/ 1 (pow x 2))))))>
#<alt x>
#<alt (* -1 (* x (- (* 2 (/ 1 (pow x 2))) 1)))>
#<alt (* -1 (* x (- (* 2 (/ 1 (pow x 2))) (+ 1 (/ 4 (* (pow x 3) y))))))>
#<alt (* -1 (* x (- (+ (* -1 (/ (- (* 4 (/ 1 y)) (* 8 (/ 1 (* x (pow y 2))))) (pow x 3))) (* 2 (/ 1 (pow x 2)))) 1)))>
#<alt x>
#<alt (+ x (* -1 y))>
#<alt (+ x (* y (- (* 1/2 (* x y)) 1)))>
#<alt (+ x (* y (- (* y (+ (* -1/4 (* (pow x 2) y)) (* 1/2 x))) 1)))>
#<alt (- x (* 2 (/ 1 x)))>
#<alt (- (+ x (* 4 (/ 1 (* (pow x 2) y)))) (* 2 (/ 1 x)))>
#<alt (- (+ x (/ 4 (* (pow x 2) y))) (+ (* 2 (/ 1 x)) (/ 8 (* (pow x 3) (pow y 2)))))>
#<alt (- (+ x (+ (* 16 (/ 1 (* (pow x 4) (pow y 3)))) (/ 4 (* (pow x 2) y)))) (+ (* 2 (/ 1 x)) (* 8 (/ 1 (* (pow x 3) (pow y 2))))))>
#<alt (- x (* 2 (/ 1 x)))>
#<alt (- (+ x (* 4 (/ 1 (* (pow x 2) y)))) (* 2 (/ 1 x)))>
#<alt (- (+ x (* -1 (/ (- (* 8 (/ 1 (* (pow x 3) y))) (* 4 (/ 1 (pow x 2)))) y))) (* 2 (/ 1 x)))>
#<alt (- (+ x (* -1 (/ (- (* -1 (/ (- (* 16 (/ 1 (* (pow x 4) y))) (* 8 (/ 1 (pow x 3)))) y)) (* 4 (/ 1 (pow x 2)))) y))) (* 2 (/ 1 x)))>
#<alt y>
#<alt (* y (+ 1 (* -1/2 (* x y))))>
#<alt (* y (+ 1 (* y (- (* 1/4 (* (pow x 2) y)) (* 1/2 x)))))>
#<alt (* y (+ 1 (* y (- (* y (- (* -1/8 (* (pow x 3) y)) (* -1/4 (pow x 2)))) (* 1/2 x)))))>
#<alt (/ 2 x)>
#<alt (- (* 2 (/ 1 x)) (* 4 (/ 1 (* (pow x 2) y))))>
#<alt (- (+ (* 2 (/ 1 x)) (/ 8 (* (pow x 3) (pow y 2)))) (/ 4 (* (pow x 2) y)))>
#<alt (- (+ (* 2 (/ 1 x)) (* 8 (/ 1 (* (pow x 3) (pow y 2))))) (+ (* 16 (/ 1 (* (pow x 4) (pow y 3)))) (/ 4 (* (pow x 2) y))))>
#<alt (/ 2 x)>
#<alt (- (* 2 (/ 1 x)) (* 4 (/ 1 (* (pow x 2) y))))>
#<alt (+ (* -1 (/ (- (* 4 (/ 1 (pow x 2))) (* 8 (/ 1 (* (pow x 3) y)))) y)) (* 2 (/ 1 x)))>
#<alt (+ (* -1 (/ (+ (* -1 (/ (- (* 8 (/ 1 (pow x 3))) (* 16 (/ 1 (* (pow x 4) y)))) y)) (* 4 (/ 1 (pow x 2)))) y)) (* 2 (/ 1 x)))>
#<alt y>
#<alt (+ y (* -1/2 (* x (pow y 2))))>
#<alt (+ y (* x (- (* 1/4 (* x (pow y 3))) (* 1/2 (pow y 2)))))>
#<alt (+ y (* x (- (* x (- (* -1/8 (* x (pow y 4))) (* -1/4 (pow y 3)))) (* 1/2 (pow y 2)))))>
#<alt (/ 2 x)>
#<alt (/ (- 2 (* 4 (/ 1 (* x y)))) x)>
#<alt (/ (- (+ 2 (/ 8 (* (pow x 2) (pow y 2)))) (/ 4 (* x y))) x)>
#<alt (/ (- (+ 2 (* 8 (/ 1 (* (pow x 2) (pow y 2))))) (+ (* 16 (/ 1 (* (pow x 3) (pow y 3)))) (/ 4 (* x y)))) x)>
#<alt (/ 2 x)>
#<alt (* -1 (/ (- (* 4 (/ 1 (* x y))) 2) x))>
#<alt (* -1 (/ (- (* -1 (/ (- (* 8 (/ 1 (* x (pow y 2)))) (* 4 (/ 1 y))) x)) 2) x))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 16 (/ 1 (* x (pow y 3)))) (* 8 (/ 1 (pow y 2)))) x)) (* 4 (/ 1 y))) x)) 2) x))>
#<alt (/ 1 y)>
#<alt (/ (+ 1 (* 1/2 (* x y))) y)>
#<alt (/ (+ 1 (* 1/2 (* x y))) y)>
#<alt (/ (+ 1 (* 1/2 (* x y))) y)>
#<alt (* 1/2 x)>
#<alt (+ (* 1/2 x) (/ 1 y))>
#<alt (+ (* 1/2 x) (/ 1 y))>
#<alt (+ (* 1/2 x) (/ 1 y))>
#<alt (* 1/2 x)>
#<alt (+ (* 1/2 x) (/ 1 y))>
#<alt (+ (* 1/2 x) (/ 1 y))>
#<alt (+ (* 1/2 x) (/ 1 y))>
#<alt (/ 1 y)>
#<alt (+ (* 1/2 x) (/ 1 y))>
#<alt (+ (* 1/2 x) (/ 1 y))>
#<alt (+ (* 1/2 x) (/ 1 y))>
#<alt (* 1/2 x)>
#<alt (* x (+ 1/2 (/ 1 (* x y))))>
#<alt (* x (+ 1/2 (/ 1 (* x y))))>
#<alt (* x (+ 1/2 (/ 1 (* x y))))>
#<alt (* 1/2 x)>
#<alt (* x (+ 1/2 (/ 1 (* x y))))>
#<alt (* x (+ 1/2 (/ 1 (* x y))))>
#<alt (* x (+ 1/2 (/ 1 (* x y))))>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (* -1 y)>
#<alt (- x y)>
#<alt (- x y)>
#<alt (- x y)>
#<alt x>
#<alt (* x (+ 1 (* -1 (/ y x))))>
#<alt (* x (+ 1 (* -1 (/ y x))))>
#<alt (* x (+ 1 (* -1 (/ y x))))>
#<alt x>
#<alt (* -1 (* x (- (/ y x) 1)))>
#<alt (* -1 (* x (- (/ y x) 1)))>
#<alt (* -1 (* x (- (/ y x) 1)))>
#<alt x>
#<alt (+ x (* -1 y))>
#<alt (+ x (* -1 y))>
#<alt (+ x (* -1 y))>
#<alt (* -1 y)>
#<alt (* y (- (/ x y) 1))>
#<alt (* y (- (/ x y) 1))>
#<alt (* y (- (/ x y) 1))>
#<alt (* -1 y)>
#<alt (* -1 (* y (+ 1 (* -1 (/ x y)))))>
#<alt (* -1 (* y (+ 1 (* -1 (/ x y)))))>
#<alt (* -1 (* y (+ 1 (* -1 (/ x y)))))>
#<alt y>
#<alt y>
#<alt y>
#<alt y>
#<alt y>
#<alt y>
#<alt y>
#<alt y>
#<alt y>
#<alt y>
#<alt y>
#<alt y>
#<alt (* -1 y)>
#<alt (- x y)>
#<alt (- x y)>
#<alt (- x y)>
#<alt x>
#<alt (* x (+ 1 (* -1 (/ y x))))>
#<alt (* x (+ 1 (* -1 (/ y x))))>
#<alt (* x (+ 1 (* -1 (/ y x))))>
#<alt x>
#<alt (* -1 (* x (- (/ y x) 1)))>
#<alt (* -1 (* x (- (/ y x) 1)))>
#<alt (* -1 (* x (- (/ y x) 1)))>
#<alt x>
#<alt (+ x (* -1 y))>
#<alt (+ x (* -1 y))>
#<alt (+ x (* -1 y))>
#<alt (* -1 y)>
#<alt (* y (- (/ x y) 1))>
#<alt (* y (- (/ x y) 1))>
#<alt (* y (- (/ x y) 1))>
#<alt (* -1 y)>
#<alt (* -1 (* y (+ 1 (* -1 (/ x y)))))>
#<alt (* -1 (* y (+ 1 (* -1 (/ x y)))))>
#<alt (* -1 (* y (+ 1 (* -1 (/ x y)))))>
#<alt (/ 2 x)>
#<alt (/ 2 x)>
#<alt (/ 2 x)>
#<alt (/ 2 x)>
#<alt (/ 2 x)>
#<alt (/ 2 x)>
#<alt (/ 2 x)>
#<alt (/ 2 x)>
#<alt (/ 2 x)>
#<alt (/ 2 x)>
#<alt (/ 2 x)>
#<alt (/ 2 x)>
#<alt (/ 2 x)>
#<alt (/ 2 x)>
#<alt (/ 2 x)>
#<alt (/ 2 x)>
#<alt (/ 2 x)>
#<alt (/ 2 x)>
#<alt (/ 2 x)>
#<alt (/ 2 x)>
#<alt (/ 2 x)>
#<alt (/ 2 x)>
#<alt (/ 2 x)>
#<alt (/ 2 x)>
#<alt (/ -2 x)>
#<alt (/ (- (pow x 2) 2) x)>
#<alt (/ (- (pow x 2) 2) x)>
#<alt (/ (- (pow x 2) 2) x)>
#<alt x>
#<alt (* x (- 1 (* 2 (/ 1 (pow x 2)))))>
#<alt (* x (- 1 (* 2 (/ 1 (pow x 2)))))>
#<alt (* x (- 1 (* 2 (/ 1 (pow x 2)))))>
#<alt x>
#<alt (* -1 (* x (- (* 2 (/ 1 (pow x 2))) 1)))>
#<alt (* -1 (* x (- (* 2 (/ 1 (pow x 2))) 1)))>
#<alt (* -1 (* x (- (* 2 (/ 1 (pow x 2))) 1)))>
#<alt (- x (* 2 (/ 1 x)))>
#<alt (- x (* 2 (/ 1 x)))>
#<alt (- x (* 2 (/ 1 x)))>
#<alt (- x (* 2 (/ 1 x)))>
#<alt (- x (* 2 (/ 1 x)))>
#<alt (- x (* 2 (/ 1 x)))>
#<alt (- x (* 2 (/ 1 x)))>
#<alt (- x (* 2 (/ 1 x)))>
#<alt (- x (* 2 (/ 1 x)))>
#<alt (- x (* 2 (/ 1 x)))>
#<alt (- x (* 2 (/ 1 x)))>
#<alt (- x (* 2 (/ 1 x)))>
#<alt (/ 2 (* x y))>
#<alt (/ 2 (* x y))>
#<alt (/ 2 (* x y))>
#<alt (/ 2 (* x y))>
#<alt (/ 2 (* x y))>
#<alt (/ 2 (* x y))>
#<alt (/ 2 (* x y))>
#<alt (/ 2 (* x y))>
#<alt (/ 2 (* x y))>
#<alt (/ 2 (* x y))>
#<alt (/ 2 (* x y))>
#<alt (/ 2 (* x y))>
#<alt (/ 2 (* x y))>
#<alt (/ 2 (* x y))>
#<alt (/ 2 (* x y))>
#<alt (/ 2 (* x y))>
#<alt (/ 2 (* x y))>
#<alt (/ 2 (* x y))>
#<alt (/ 2 (* x y))>
#<alt (/ 2 (* x y))>
#<alt (/ 2 (* x y))>
#<alt (/ 2 (* x y))>
#<alt (/ 2 (* x y))>
#<alt (/ 2 (* x y))>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* -1 y)>
#<alt (- (* x (- 1 (* -1/2 (pow y 2)))) y)>
#<alt (- (* x (- 1 (* -1/2 (pow y 2)))) y)>
#<alt (- (* x (- 1 (* -1/2 (pow y 2)))) y)>
#<alt (* x (- 1 (* -1/2 (pow y 2))))>
#<alt (* x (- (+ 1 (* -1 (/ y x))) (* -1/2 (pow y 2))))>
#<alt (* x (- (+ 1 (* -1 (/ y x))) (* -1/2 (pow y 2))))>
#<alt (* x (- (+ 1 (* -1 (/ y x))) (* -1/2 (pow y 2))))>
#<alt (* x (+ 1 (* 1/2 (pow y 2))))>
#<alt (* -1 (* x (- (/ y x) (+ 1 (* 1/2 (pow y 2))))))>
#<alt (* -1 (* x (- (/ y x) (+ 1 (* 1/2 (pow y 2))))))>
#<alt (* -1 (* x (- (/ y x) (+ 1 (* 1/2 (pow y 2))))))>
#<alt x>
#<alt (+ x (* -1 y))>
#<alt (+ x (* y (- (* 1/2 (* x y)) 1)))>
#<alt (+ x (* y (- (* 1/2 (* x y)) 1)))>
#<alt (* 1/2 (* x (pow y 2)))>
#<alt (* -1 (* (pow y 2) (+ (* -1/2 x) (/ 1 y))))>
#<alt (* (pow y 2) (- (/ x (pow y 2)) (+ (* -1/2 x) (/ 1 y))))>
#<alt (* (pow y 2) (- (/ x (pow y 2)) (+ (* -1/2 x) (/ 1 y))))>
#<alt (* 1/2 (* x (pow y 2)))>
#<alt (* -1 (* (pow y 2) (+ (* -1/2 x) (/ 1 y))))>
#<alt (* (pow y 2) (- (* -1 (/ (+ 1 (* -1 (/ x y))) y)) (* -1/2 x)))>
#<alt (* (pow y 2) (- (* -1 (/ (+ 1 (* -1 (/ x y))) y)) (* -1/2 x)))>
#<alt y>
#<alt (* y (+ 1 (* -1/2 (* x y))))>
#<alt (* y (+ 1 (* -1/2 (* x y))))>
#<alt (* y (+ 1 (* -1/2 (* x y))))>
#<alt (* -1/2 (* x (pow y 2)))>
#<alt (* (pow y 2) (+ (* -1/2 x) (/ 1 y)))>
#<alt (* (pow y 2) (+ (* -1/2 x) (/ 1 y)))>
#<alt (* (pow y 2) (+ (* -1/2 x) (/ 1 y)))>
#<alt (* -1/2 (* x (pow y 2)))>
#<alt (* (pow y 2) (+ (* -1/2 x) (/ 1 y)))>
#<alt (* (pow y 2) (+ (* -1/2 x) (/ 1 y)))>
#<alt (* (pow y 2) (+ (* -1/2 x) (/ 1 y)))>
#<alt y>
#<alt (+ y (* -1/2 (* x (pow y 2))))>
#<alt (+ y (* -1/2 (* x (pow y 2))))>
#<alt (+ y (* -1/2 (* x (pow y 2))))>
#<alt (* -1/2 (* x (pow y 2)))>
#<alt (* x (+ (* -1/2 (pow y 2)) (/ y x)))>
#<alt (* x (+ (* -1/2 (pow y 2)) (/ y x)))>
#<alt (* x (+ (* -1/2 (pow y 2)) (/ y x)))>
#<alt (* -1/2 (* x (pow y 2)))>
#<alt (* -1 (* x (+ (* -1 (/ y x)) (* 1/2 (pow y 2)))))>
#<alt (* -1 (* x (+ (* -1 (/ y x)) (* 1/2 (pow y 2)))))>
#<alt (* -1 (* x (+ (* -1 (/ y x)) (* 1/2 (pow y 2)))))>
#<alt 1>
#<alt (+ 1 (* -1/2 (* x y)))>
#<alt (+ 1 (* -1/2 (* x y)))>
#<alt (+ 1 (* -1/2 (* x y)))>
#<alt (* -1/2 (* x y))>
#<alt (* y (+ (* -1/2 x) (/ 1 y)))>
#<alt (* y (+ (* -1/2 x) (/ 1 y)))>
#<alt (* y (+ (* -1/2 x) (/ 1 y)))>
#<alt (* -1/2 (* x y))>
#<alt (* -1 (* y (- (* 1/2 x) (/ 1 y))))>
#<alt (* -1 (* y (- (* 1/2 x) (/ 1 y))))>
#<alt (* -1 (* y (- (* 1/2 x) (/ 1 y))))>
#<alt 1>
#<alt (+ 1 (* -1/2 (* x y)))>
#<alt (+ 1 (* -1/2 (* x y)))>
#<alt (+ 1 (* -1/2 (* x y)))>
#<alt (* -1/2 (* x y))>
#<alt (* x (+ (* -1/2 y) (/ 1 x)))>
#<alt (* x (+ (* -1/2 y) (/ 1 x)))>
#<alt (* x (+ (* -1/2 y) (/ 1 x)))>
#<alt (* -1/2 (* x y))>
#<alt (* -1 (* x (- (* 1/2 y) (/ 1 x))))>
#<alt (* -1 (* x (- (* 1/2 y) (/ 1 x))))>
#<alt (* -1 (* x (- (* 1/2 y) (/ 1 x))))>
#<alt (* -1/2 (* x y))>
#<alt (* -1/2 (* x y))>
#<alt (* -1/2 (* x y))>
#<alt (* -1/2 (* x y))>
#<alt (* -1/2 (* x y))>
#<alt (* -1/2 (* x y))>
#<alt (* -1/2 (* x y))>
#<alt (* -1/2 (* x y))>
#<alt (* -1/2 (* x y))>
#<alt (* -1/2 (* x y))>
#<alt (* -1/2 (* x y))>
#<alt (* -1/2 (* x y))>
#<alt (* -1/2 (* x y))>
#<alt (* -1/2 (* x y))>
#<alt (* -1/2 (* x y))>
#<alt (* -1/2 (* x y))>
#<alt (* -1/2 (* x y))>
#<alt (* -1/2 (* x y))>
#<alt (* -1/2 (* x y))>
#<alt (* -1/2 (* x y))>
#<alt (* -1/2 (* x y))>
#<alt (* -1/2 (* x y))>
#<alt (* -1/2 (* x y))>
#<alt (* -1/2 (* x y))>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* -1/2 x)>
#<alt (* -1/2 x)>
#<alt (* -1/2 x)>
#<alt (* -1/2 x)>
#<alt (* -1/2 x)>
#<alt (* -1/2 x)>
#<alt (* -1/2 x)>
#<alt (* -1/2 x)>
#<alt (* -1/2 x)>
#<alt (* -1/2 x)>
#<alt (* -1/2 x)>
#<alt (* -1/2 x)>
Calls

90 calls:

TimeVariablePointExpression
83.0ms
x
@inf
(* x 1/2)
3.0ms
y
@inf
(- x (* (+ 1 (* y (* -1/2 x))) y))
0.0ms
x
@inf
(/ 2 (* y x))
0.0ms
x
@0
(- x (* (+ 1 (* y (* -1/2 x))) y))
0.0ms
y
@inf
(/ 2 (* y x))

rewrite579.0ms (4%)

Memory
-15.7MiB live, 727.4MiB allocated
Algorithm
batch-egg-rewrite
Rules
5 862×accelerator-lowering-fma.f32
5 862×accelerator-lowering-fma.f64
4 250×/-lowering-/.f32
4 250×/-lowering-/.f64
3 828×*-lowering-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02399
116099
2136991
0833385
Stop Event
iter limit
node limit
Counts
17 → 766
Calls
Call 1
Inputs
(- x (/ 1 (+ (/ 1 y) (* x 1/2))))
(/ 1 (+ (/ 1 y) (* x 1/2)))
(+ (/ 1 y) (* x 1/2))
(/ 1 y)
(- x y)
(/ 1 (/ 1 y))
(- x (/ 1 (/ 1 y)))
(* (/ 2 (* y x)) y)
(- x (* (/ 2 (* y x)) y))
(/ 2 (* y x))
(* y x)
(- x (* (+ 1 (* y (* -1/2 x))) y))
(* (+ 1 (* y (* -1/2 x))) y)
(+ 1 (* y (* -1/2 x)))
(* y (* -1/2 x))
(* x 1/2)
(* -1/2 x)
Outputs
(+.f64 x (/.f64 #s(literal -1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 x #s(literal 2 binary64)))))
(+.f64 (/.f64 #s(literal -1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 x #s(literal 2 binary64)))) x)
(+.f64 (/.f64 (*.f64 x (*.f64 x x)) (+.f64 (*.f64 x x) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 x #s(literal 2 binary64)))) (+.f64 x (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 x #s(literal 2 binary64)))))))) (neg.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 x #s(literal 2 binary64)))) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 x #s(literal 2 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 x #s(literal 2 binary64))))) (+.f64 (*.f64 x x) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 x #s(literal 2 binary64)))) (+.f64 x (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 x #s(literal 2 binary64))))))))))
(+.f64 (/.f64 (*.f64 x x) (+.f64 x (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 x #s(literal 2 binary64)))))) (neg.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 x #s(literal 2 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 x #s(literal 2 binary64))))) (+.f64 x (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 x #s(literal 2 binary64))))))))
(-.f64 x (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 x #s(literal 2 binary64)))))
(-.f64 (/.f64 (*.f64 x (*.f64 x x)) (+.f64 (*.f64 x x) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 x #s(literal 2 binary64)))) (+.f64 x (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 x #s(literal 2 binary64)))))))) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 x #s(literal 2 binary64)))) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 x #s(literal 2 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 x #s(literal 2 binary64))))) (+.f64 (*.f64 x x) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 x #s(literal 2 binary64)))) (+.f64 x (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 x #s(literal 2 binary64)))))))))
(-.f64 (/.f64 (*.f64 x x) (+.f64 x (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 x #s(literal 2 binary64)))))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 x #s(literal 2 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 x #s(literal 2 binary64))))) (+.f64 x (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 x #s(literal 2 binary64)))))))
(fma.f64 x #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 x #s(literal 2 binary64)))))
(fma.f64 #s(literal 1 binary64) x (/.f64 #s(literal -1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 x #s(literal 2 binary64)))))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 x #s(literal 2 binary64)))) x)
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 x #s(literal 2 binary64)))) x)
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(*.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) y)))
(*.f64 (/.f64 x (pow.f64 y #s(literal -1/2 binary64))) (/.f64 #s(literal -1/2 binary64) (pow.f64 y #s(literal -1/2 binary64))))
(*.f64 (/.f64 #s(literal -1/2 binary64) (pow.f64 y #s(literal -1/2 binary64))) (/.f64 x (pow.f64 y #s(literal -1/2 binary64))))
(*.f64 (/.f64 (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) y)
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal -1/2 binary64))) (/.f64 (*.f64 x #s(literal -1/2 binary64)) (pow.f64 y #s(literal -1/2 binary64))))
(*.f64 (/.f64 (*.f64 x #s(literal -1/2 binary64)) (pow.f64 y #s(literal -1/2 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal -1/2 binary64))))
(*.f64 (/.f64 (*.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) y))
(/.f64 x #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x))
(/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 2 binary64) (*.f64 x y)))
(/.f64 (*.f64 x y) (*.f64 y #s(literal 2 binary64)))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x y)) (-.f64 #s(literal 0 binary64) (*.f64 y #s(literal 2 binary64))))
(/.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -2 binary64))
(*.f64 x #s(literal 1/2 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 x #s(literal 2 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 x (/.f64 #s(literal 2 binary64) y)))
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x y) y))
(*.f64 (/.f64 x #s(literal 2 binary64)) #s(literal 1 binary64))
(*.f64 (*.f64 x y) (/.f64 #s(literal 1 binary64) (*.f64 y #s(literal 2 binary64))))
(*.f64 (/.f64 x y) (/.f64 y #s(literal 2 binary64)))
(*.f64 (/.f64 y #s(literal 2 binary64)) (/.f64 x y))
(*.f64 x #s(literal -1/2 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))
(*.f64 #s(literal -1/2 binary64) x)
(*.f64 (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))

simplify435.0ms (3%)

Memory
1.7MiB live, 795.7MiB allocated
Algorithm
egg-herbie
Rules
11 096×accelerator-lowering-fma.f32
11 096×accelerator-lowering-fma.f64
3 856×*-lowering-*.f32
3 856×*-lowering-*.f64
3 588×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02792275
18842246
223802090
374372066
085111954
Stop Event
iter limit
node limit
Counts
360 → 360
Calls
Call 1
Inputs
(* -1 y)
(- (* x (+ 1 (* 1/2 (pow y 2)))) y)
(- (* x (+ 1 (+ (* -1/4 (* x (pow y 3))) (* 1/2 (pow y 2))))) y)
(- (* x (+ 1 (+ (* 1/2 (pow y 2)) (* x (+ (* -1/4 (pow y 3)) (* 1/8 (* x (pow y 4)))))))) y)
x
(* x (- 1 (* 2 (/ 1 (pow x 2)))))
(* x (- (+ 1 (/ 4 (* (pow x 3) y))) (* 2 (/ 1 (pow x 2)))))
(* x (- (+ 1 (* 4 (/ 1 (* (pow x 3) y)))) (+ (* 8 (/ 1 (* (pow x 4) (pow y 2)))) (* 2 (/ 1 (pow x 2))))))
x
(* -1 (* x (- (* 2 (/ 1 (pow x 2))) 1)))
(* -1 (* x (- (* 2 (/ 1 (pow x 2))) (+ 1 (/ 4 (* (pow x 3) y))))))
(* -1 (* x (- (+ (* -1 (/ (- (* 4 (/ 1 y)) (* 8 (/ 1 (* x (pow y 2))))) (pow x 3))) (* 2 (/ 1 (pow x 2)))) 1)))
x
(+ x (* -1 y))
(+ x (* y (- (* 1/2 (* x y)) 1)))
(+ x (* y (- (* y (+ (* -1/4 (* (pow x 2) y)) (* 1/2 x))) 1)))
(- x (* 2 (/ 1 x)))
(- (+ x (* 4 (/ 1 (* (pow x 2) y)))) (* 2 (/ 1 x)))
(- (+ x (/ 4 (* (pow x 2) y))) (+ (* 2 (/ 1 x)) (/ 8 (* (pow x 3) (pow y 2)))))
(- (+ x (+ (* 16 (/ 1 (* (pow x 4) (pow y 3)))) (/ 4 (* (pow x 2) y)))) (+ (* 2 (/ 1 x)) (* 8 (/ 1 (* (pow x 3) (pow y 2))))))
(- x (* 2 (/ 1 x)))
(- (+ x (* 4 (/ 1 (* (pow x 2) y)))) (* 2 (/ 1 x)))
(- (+ x (* -1 (/ (- (* 8 (/ 1 (* (pow x 3) y))) (* 4 (/ 1 (pow x 2)))) y))) (* 2 (/ 1 x)))
(- (+ x (* -1 (/ (- (* -1 (/ (- (* 16 (/ 1 (* (pow x 4) y))) (* 8 (/ 1 (pow x 3)))) y)) (* 4 (/ 1 (pow x 2)))) y))) (* 2 (/ 1 x)))
y
(* y (+ 1 (* -1/2 (* x y))))
(* y (+ 1 (* y (- (* 1/4 (* (pow x 2) y)) (* 1/2 x)))))
(* y (+ 1 (* y (- (* y (- (* -1/8 (* (pow x 3) y)) (* -1/4 (pow x 2)))) (* 1/2 x)))))
(/ 2 x)
(- (* 2 (/ 1 x)) (* 4 (/ 1 (* (pow x 2) y))))
(- (+ (* 2 (/ 1 x)) (/ 8 (* (pow x 3) (pow y 2)))) (/ 4 (* (pow x 2) y)))
(- (+ (* 2 (/ 1 x)) (* 8 (/ 1 (* (pow x 3) (pow y 2))))) (+ (* 16 (/ 1 (* (pow x 4) (pow y 3)))) (/ 4 (* (pow x 2) y))))
(/ 2 x)
(- (* 2 (/ 1 x)) (* 4 (/ 1 (* (pow x 2) y))))
(+ (* -1 (/ (- (* 4 (/ 1 (pow x 2))) (* 8 (/ 1 (* (pow x 3) y)))) y)) (* 2 (/ 1 x)))
(+ (* -1 (/ (+ (* -1 (/ (- (* 8 (/ 1 (pow x 3))) (* 16 (/ 1 (* (pow x 4) y)))) y)) (* 4 (/ 1 (pow x 2)))) y)) (* 2 (/ 1 x)))
y
(+ y (* -1/2 (* x (pow y 2))))
(+ y (* x (- (* 1/4 (* x (pow y 3))) (* 1/2 (pow y 2)))))
(+ y (* x (- (* x (- (* -1/8 (* x (pow y 4))) (* -1/4 (pow y 3)))) (* 1/2 (pow y 2)))))
(/ 2 x)
(/ (- 2 (* 4 (/ 1 (* x y)))) x)
(/ (- (+ 2 (/ 8 (* (pow x 2) (pow y 2)))) (/ 4 (* x y))) x)
(/ (- (+ 2 (* 8 (/ 1 (* (pow x 2) (pow y 2))))) (+ (* 16 (/ 1 (* (pow x 3) (pow y 3)))) (/ 4 (* x y)))) x)
(/ 2 x)
(* -1 (/ (- (* 4 (/ 1 (* x y))) 2) x))
(* -1 (/ (- (* -1 (/ (- (* 8 (/ 1 (* x (pow y 2)))) (* 4 (/ 1 y))) x)) 2) x))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 16 (/ 1 (* x (pow y 3)))) (* 8 (/ 1 (pow y 2)))) x)) (* 4 (/ 1 y))) x)) 2) x))
(/ 1 y)
(/ (+ 1 (* 1/2 (* x y))) y)
(/ (+ 1 (* 1/2 (* x y))) y)
(/ (+ 1 (* 1/2 (* x y))) y)
(* 1/2 x)
(+ (* 1/2 x) (/ 1 y))
(+ (* 1/2 x) (/ 1 y))
(+ (* 1/2 x) (/ 1 y))
(* 1/2 x)
(+ (* 1/2 x) (/ 1 y))
(+ (* 1/2 x) (/ 1 y))
(+ (* 1/2 x) (/ 1 y))
(/ 1 y)
(+ (* 1/2 x) (/ 1 y))
(+ (* 1/2 x) (/ 1 y))
(+ (* 1/2 x) (/ 1 y))
(* 1/2 x)
(* x (+ 1/2 (/ 1 (* x y))))
(* x (+ 1/2 (/ 1 (* x y))))
(* x (+ 1/2 (/ 1 (* x y))))
(* 1/2 x)
(* x (+ 1/2 (/ 1 (* x y))))
(* x (+ 1/2 (/ 1 (* x y))))
(* x (+ 1/2 (/ 1 (* x y))))
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(* -1 y)
(- x y)
(- x y)
(- x y)
x
(* x (+ 1 (* -1 (/ y x))))
(* x (+ 1 (* -1 (/ y x))))
(* x (+ 1 (* -1 (/ y x))))
x
(* -1 (* x (- (/ y x) 1)))
(* -1 (* x (- (/ y x) 1)))
(* -1 (* x (- (/ y x) 1)))
x
(+ x (* -1 y))
(+ x (* -1 y))
(+ x (* -1 y))
(* -1 y)
(* y (- (/ x y) 1))
(* y (- (/ x y) 1))
(* y (- (/ x y) 1))
(* -1 y)
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(* -1 (* y (+ 1 (* -1 (/ x y)))))
y
y
y
y
y
y
y
y
y
y
y
y
(* -1 y)
(- x y)
(- x y)
(- x y)
x
(* x (+ 1 (* -1 (/ y x))))
(* x (+ 1 (* -1 (/ y x))))
(* x (+ 1 (* -1 (/ y x))))
x
(* -1 (* x (- (/ y x) 1)))
(* -1 (* x (- (/ y x) 1)))
(* -1 (* x (- (/ y x) 1)))
x
(+ x (* -1 y))
(+ x (* -1 y))
(+ x (* -1 y))
(* -1 y)
(* y (- (/ x y) 1))
(* y (- (/ x y) 1))
(* y (- (/ x y) 1))
(* -1 y)
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(/ 2 x)
(/ 2 x)
(/ 2 x)
(/ 2 x)
(/ 2 x)
(/ 2 x)
(/ 2 x)
(/ 2 x)
(/ 2 x)
(/ 2 x)
(/ 2 x)
(/ 2 x)
(/ 2 x)
(/ 2 x)
(/ 2 x)
(/ 2 x)
(/ 2 x)
(/ 2 x)
(/ 2 x)
(/ 2 x)
(/ 2 x)
(/ 2 x)
(/ 2 x)
(/ 2 x)
(/ -2 x)
(/ (- (pow x 2) 2) x)
(/ (- (pow x 2) 2) x)
(/ (- (pow x 2) 2) x)
x
(* x (- 1 (* 2 (/ 1 (pow x 2)))))
(* x (- 1 (* 2 (/ 1 (pow x 2)))))
(* x (- 1 (* 2 (/ 1 (pow x 2)))))
x
(* -1 (* x (- (* 2 (/ 1 (pow x 2))) 1)))
(* -1 (* x (- (* 2 (/ 1 (pow x 2))) 1)))
(* -1 (* x (- (* 2 (/ 1 (pow x 2))) 1)))
(- x (* 2 (/ 1 x)))
(- x (* 2 (/ 1 x)))
(- x (* 2 (/ 1 x)))
(- x (* 2 (/ 1 x)))
(- x (* 2 (/ 1 x)))
(- x (* 2 (/ 1 x)))
(- x (* 2 (/ 1 x)))
(- x (* 2 (/ 1 x)))
(- x (* 2 (/ 1 x)))
(- x (* 2 (/ 1 x)))
(- x (* 2 (/ 1 x)))
(- x (* 2 (/ 1 x)))
(/ 2 (* x y))
(/ 2 (* x y))
(/ 2 (* x y))
(/ 2 (* x y))
(/ 2 (* x y))
(/ 2 (* x y))
(/ 2 (* x y))
(/ 2 (* x y))
(/ 2 (* x y))
(/ 2 (* x y))
(/ 2 (* x y))
(/ 2 (* x y))
(/ 2 (* x y))
(/ 2 (* x y))
(/ 2 (* x y))
(/ 2 (* x y))
(/ 2 (* x y))
(/ 2 (* x y))
(/ 2 (* x y))
(/ 2 (* x y))
(/ 2 (* x y))
(/ 2 (* x y))
(/ 2 (* x y))
(/ 2 (* x y))
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* -1 y)
(- (* x (- 1 (* -1/2 (pow y 2)))) y)
(- (* x (- 1 (* -1/2 (pow y 2)))) y)
(- (* x (- 1 (* -1/2 (pow y 2)))) y)
(* x (- 1 (* -1/2 (pow y 2))))
(* x (- (+ 1 (* -1 (/ y x))) (* -1/2 (pow y 2))))
(* x (- (+ 1 (* -1 (/ y x))) (* -1/2 (pow y 2))))
(* x (- (+ 1 (* -1 (/ y x))) (* -1/2 (pow y 2))))
(* x (+ 1 (* 1/2 (pow y 2))))
(* -1 (* x (- (/ y x) (+ 1 (* 1/2 (pow y 2))))))
(* -1 (* x (- (/ y x) (+ 1 (* 1/2 (pow y 2))))))
(* -1 (* x (- (/ y x) (+ 1 (* 1/2 (pow y 2))))))
x
(+ x (* -1 y))
(+ x (* y (- (* 1/2 (* x y)) 1)))
(+ x (* y (- (* 1/2 (* x y)) 1)))
(* 1/2 (* x (pow y 2)))
(* -1 (* (pow y 2) (+ (* -1/2 x) (/ 1 y))))
(* (pow y 2) (- (/ x (pow y 2)) (+ (* -1/2 x) (/ 1 y))))
(* (pow y 2) (- (/ x (pow y 2)) (+ (* -1/2 x) (/ 1 y))))
(* 1/2 (* x (pow y 2)))
(* -1 (* (pow y 2) (+ (* -1/2 x) (/ 1 y))))
(* (pow y 2) (- (* -1 (/ (+ 1 (* -1 (/ x y))) y)) (* -1/2 x)))
(* (pow y 2) (- (* -1 (/ (+ 1 (* -1 (/ x y))) y)) (* -1/2 x)))
y
(* y (+ 1 (* -1/2 (* x y))))
(* y (+ 1 (* -1/2 (* x y))))
(* y (+ 1 (* -1/2 (* x y))))
(* -1/2 (* x (pow y 2)))
(* (pow y 2) (+ (* -1/2 x) (/ 1 y)))
(* (pow y 2) (+ (* -1/2 x) (/ 1 y)))
(* (pow y 2) (+ (* -1/2 x) (/ 1 y)))
(* -1/2 (* x (pow y 2)))
(* (pow y 2) (+ (* -1/2 x) (/ 1 y)))
(* (pow y 2) (+ (* -1/2 x) (/ 1 y)))
(* (pow y 2) (+ (* -1/2 x) (/ 1 y)))
y
(+ y (* -1/2 (* x (pow y 2))))
(+ y (* -1/2 (* x (pow y 2))))
(+ y (* -1/2 (* x (pow y 2))))
(* -1/2 (* x (pow y 2)))
(* x (+ (* -1/2 (pow y 2)) (/ y x)))
(* x (+ (* -1/2 (pow y 2)) (/ y x)))
(* x (+ (* -1/2 (pow y 2)) (/ y x)))
(* -1/2 (* x (pow y 2)))
(* -1 (* x (+ (* -1 (/ y x)) (* 1/2 (pow y 2)))))
(* -1 (* x (+ (* -1 (/ y x)) (* 1/2 (pow y 2)))))
(* -1 (* x (+ (* -1 (/ y x)) (* 1/2 (pow y 2)))))
1
(+ 1 (* -1/2 (* x y)))
(+ 1 (* -1/2 (* x y)))
(+ 1 (* -1/2 (* x y)))
(* -1/2 (* x y))
(* y (+ (* -1/2 x) (/ 1 y)))
(* y (+ (* -1/2 x) (/ 1 y)))
(* y (+ (* -1/2 x) (/ 1 y)))
(* -1/2 (* x y))
(* -1 (* y (- (* 1/2 x) (/ 1 y))))
(* -1 (* y (- (* 1/2 x) (/ 1 y))))
(* -1 (* y (- (* 1/2 x) (/ 1 y))))
1
(+ 1 (* -1/2 (* x y)))
(+ 1 (* -1/2 (* x y)))
(+ 1 (* -1/2 (* x y)))
(* -1/2 (* x y))
(* x (+ (* -1/2 y) (/ 1 x)))
(* x (+ (* -1/2 y) (/ 1 x)))
(* x (+ (* -1/2 y) (/ 1 x)))
(* -1/2 (* x y))
(* -1 (* x (- (* 1/2 y) (/ 1 x))))
(* -1 (* x (- (* 1/2 y) (/ 1 x))))
(* -1 (* x (- (* 1/2 y) (/ 1 x))))
(* -1/2 (* x y))
(* -1/2 (* x y))
(* -1/2 (* x y))
(* -1/2 (* x y))
(* -1/2 (* x y))
(* -1/2 (* x y))
(* -1/2 (* x y))
(* -1/2 (* x y))
(* -1/2 (* x y))
(* -1/2 (* x y))
(* -1/2 (* x y))
(* -1/2 (* x y))
(* -1/2 (* x y))
(* -1/2 (* x y))
(* -1/2 (* x y))
(* -1/2 (* x y))
(* -1/2 (* x y))
(* -1/2 (* x y))
(* -1/2 (* x y))
(* -1/2 (* x y))
(* -1/2 (* x y))
(* -1/2 (* x y))
(* -1/2 (* x y))
(* -1/2 (* x y))
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* -1/2 x)
(* -1/2 x)
(* -1/2 x)
(* -1/2 x)
(* -1/2 x)
(* -1/2 x)
(* -1/2 x)
(* -1/2 x)
(* -1/2 x)
(* -1/2 x)
(* -1/2 x)
(* -1/2 x)
Outputs
(* -1 y)
(-.f64 #s(literal 0 binary64) y)
(- (* x (+ 1 (* 1/2 (pow y 2)))) y)
(+.f64 x (*.f64 y (+.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y #s(literal 1/2 binary64))))))
(- (* x (+ 1 (+ (* -1/4 (* x (pow y 3))) (* 1/2 (pow y 2))))) y)
(-.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) (+.f64 #s(literal 1/2 binary64) (*.f64 y (*.f64 x #s(literal -1/4 binary64))))))) y)
(- (* x (+ 1 (+ (* 1/2 (pow y 2)) (* x (+ (* -1/4 (pow y 3)) (* 1/8 (* x (pow y 4)))))))) y)
(-.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 (*.f64 y y) (+.f64 #s(literal 1/2 binary64) (*.f64 y (*.f64 x #s(literal -1/4 binary64))))) (*.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x (pow.f64 y #s(literal 4 binary64)))))))) y)
x
(* x (- 1 (* 2 (/ 1 (pow x 2)))))
(+.f64 x (/.f64 #s(literal -2 binary64) x))
(* x (- (+ 1 (/ 4 (* (pow x 3) y))) (* 2 (/ 1 (pow x 2)))))
(+.f64 x (/.f64 (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 y x)) #s(literal -2 binary64)) x))
(* x (- (+ 1 (* 4 (/ 1 (* (pow x 3) y)))) (+ (* 8 (/ 1 (* (pow x 4) (pow y 2)))) (* 2 (/ 1 (pow x 2))))))
(+.f64 x (/.f64 (-.f64 #s(literal -2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 8 binary64) (*.f64 y (*.f64 y x))) (/.f64 #s(literal -4 binary64) y)) x)) x))
x
(* -1 (* x (- (* 2 (/ 1 (pow x 2))) 1)))
(+.f64 x (/.f64 #s(literal -2 binary64) x))
(* -1 (* x (- (* 2 (/ 1 (pow x 2))) (+ 1 (/ 4 (* (pow x 3) y))))))
(+.f64 x (/.f64 (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 y x)) #s(literal -2 binary64)) x))
(* -1 (* x (- (+ (* -1 (/ (- (* 4 (/ 1 y)) (* 8 (/ 1 (* x (pow y 2))))) (pow x 3))) (* 2 (/ 1 (pow x 2)))) 1)))
(+.f64 x (/.f64 (-.f64 #s(literal -2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 8 binary64) (*.f64 y (*.f64 y x))) (/.f64 #s(literal -4 binary64) y)) x)) x))
x
(+ x (* -1 y))
(-.f64 x y)
(+ x (* y (- (* 1/2 (* x y)) 1)))
(+.f64 x (*.f64 y (+.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y #s(literal 1/2 binary64))))))
(+ x (* y (- (* y (+ (* -1/4 (* (pow x 2) y)) (* 1/2 x))) 1)))
(+.f64 x (*.f64 y (+.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 y (*.f64 x (*.f64 x #s(literal -1/4 binary64)))) (*.f64 x #s(literal 1/2 binary64)))))))
(- x (* 2 (/ 1 x)))
(+.f64 x (/.f64 #s(literal -2 binary64) x))
(- (+ x (* 4 (/ 1 (* (pow x 2) y)))) (* 2 (/ 1 x)))
(+.f64 x (/.f64 (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 y x)) #s(literal -2 binary64)) x))
(- (+ x (/ 4 (* (pow x 2) y))) (+ (* 2 (/ 1 x)) (/ 8 (* (pow x 3) (pow y 2)))))
(+.f64 x (/.f64 (-.f64 #s(literal -2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 8 binary64) (*.f64 y (*.f64 y x))) (/.f64 #s(literal -4 binary64) y)) x)) x))
(- (+ x (+ (* 16 (/ 1 (* (pow x 4) (pow y 3)))) (/ 4 (* (pow x 2) y)))) (+ (* 2 (/ 1 x)) (* 8 (/ 1 (* (pow x 3) (pow y 2))))))
(+.f64 (+.f64 x (/.f64 #s(literal 16 binary64) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 x (*.f64 x x)) x)))) (/.f64 (-.f64 #s(literal -2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 8 binary64) (*.f64 y (*.f64 y x))) (/.f64 #s(literal -4 binary64) y)) x)) x))
(- x (* 2 (/ 1 x)))
(+.f64 x (/.f64 #s(literal -2 binary64) x))
(- (+ x (* 4 (/ 1 (* (pow x 2) y)))) (* 2 (/ 1 x)))
(+.f64 x (/.f64 (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 y x)) #s(literal -2 binary64)) x))
(- (+ x (* -1 (/ (- (* 8 (/ 1 (* (pow x 3) y))) (* 4 (/ 1 (pow x 2)))) y))) (* 2 (/ 1 x)))
(+.f64 x (/.f64 (-.f64 #s(literal -2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 8 binary64) (*.f64 y (*.f64 y x))) (/.f64 #s(literal -4 binary64) y)) x)) x))
(- (+ x (* -1 (/ (- (* -1 (/ (- (* 16 (/ 1 (* (pow x 4) y))) (* 8 (/ 1 (pow x 3)))) y)) (* 4 (/ 1 (pow x 2)))) y))) (* 2 (/ 1 x)))
(-.f64 x (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 8 binary64) (*.f64 x (*.f64 x x))) (/.f64 (/.f64 #s(literal -16 binary64) y) (*.f64 (*.f64 x (*.f64 x x)) x))) (*.f64 y y)) (/.f64 (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 y x)) #s(literal -2 binary64)) x)))
y
(* y (+ 1 (* -1/2 (* x y))))
(*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 x #s(literal -1/2 binary64)))))
(* y (+ 1 (* y (- (* 1/4 (* (pow x 2) y)) (* 1/2 x)))))
(*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 (*.f64 (*.f64 y (*.f64 x x)) #s(literal 1/4 binary64)) (*.f64 x #s(literal -1/2 binary64))))))
(* y (+ 1 (* y (- (* y (- (* -1/8 (* (pow x 3) y)) (* -1/4 (pow x 2)))) (* 1/2 x)))))
(*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 (*.f64 y (+.f64 (*.f64 y (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/8 binary64)))) (*.f64 (*.f64 x x) #s(literal 1/4 binary64)))) (*.f64 x #s(literal -1/2 binary64))))))
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
(- (* 2 (/ 1 x)) (* 4 (/ 1 (* (pow x 2) y))))
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal -4 binary64) y) x)) x)
(- (+ (* 2 (/ 1 x)) (/ 8 (* (pow x 3) (pow y 2)))) (/ 4 (* (pow x 2) y)))
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(*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 x #s(literal -1/2 binary64)))))
y
(+ y (* -1/2 (* x (pow y 2))))
(*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 x #s(literal -1/2 binary64)))))
(+ y (* -1/2 (* x (pow y 2))))
(*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 x #s(literal -1/2 binary64)))))
(+ y (* -1/2 (* x (pow y 2))))
(*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 x #s(literal -1/2 binary64)))))
(* -1/2 (* x (pow y 2)))
(*.f64 y (*.f64 y (*.f64 x #s(literal -1/2 binary64))))
(* x (+ (* -1/2 (pow y 2)) (/ y x)))
(*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 x #s(literal -1/2 binary64)))))
(* x (+ (* -1/2 (pow y 2)) (/ y x)))
(*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 x #s(literal -1/2 binary64)))))
(* x (+ (* -1/2 (pow y 2)) (/ y x)))
(*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 x #s(literal -1/2 binary64)))))
(* -1/2 (* x (pow y 2)))
(*.f64 y (*.f64 y (*.f64 x #s(literal -1/2 binary64))))
(* -1 (* x (+ (* -1 (/ y x)) (* 1/2 (pow y 2)))))
(*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 x #s(literal -1/2 binary64)))))
(* -1 (* x (+ (* -1 (/ y x)) (* 1/2 (pow y 2)))))
(*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 x #s(literal -1/2 binary64)))))
(* -1 (* x (+ (* -1 (/ y x)) (* 1/2 (pow y 2)))))
(*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 x #s(literal -1/2 binary64)))))
1
#s(literal 1 binary64)
(+ 1 (* -1/2 (* x y)))
(+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 x #s(literal -1/2 binary64))))
(+ 1 (* -1/2 (* x y)))
(+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 x #s(literal -1/2 binary64))))
(+ 1 (* -1/2 (* x y)))
(+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 x #s(literal -1/2 binary64))))
(* -1/2 (* x y))
(*.f64 y (*.f64 x #s(literal -1/2 binary64)))
(* y (+ (* -1/2 x) (/ 1 y)))
(+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 x #s(literal -1/2 binary64))))
(* y (+ (* -1/2 x) (/ 1 y)))
(+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 x #s(literal -1/2 binary64))))
(* y (+ (* -1/2 x) (/ 1 y)))
(+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 x #s(literal -1/2 binary64))))
(* -1/2 (* x y))
(*.f64 y (*.f64 x #s(literal -1/2 binary64)))
(* -1 (* y (- (* 1/2 x) (/ 1 y))))
(+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 x #s(literal -1/2 binary64))))
(* -1 (* y (- (* 1/2 x) (/ 1 y))))
(+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 x #s(literal -1/2 binary64))))
(* -1 (* y (- (* 1/2 x) (/ 1 y))))
(+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 x #s(literal -1/2 binary64))))
1
#s(literal 1 binary64)
(+ 1 (* -1/2 (* x y)))
(+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 x #s(literal -1/2 binary64))))
(+ 1 (* -1/2 (* x y)))
(+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 x #s(literal -1/2 binary64))))
(+ 1 (* -1/2 (* x y)))
(+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 x #s(literal -1/2 binary64))))
(* -1/2 (* x y))
(*.f64 y (*.f64 x #s(literal -1/2 binary64)))
(* x (+ (* -1/2 y) (/ 1 x)))
(+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 x #s(literal -1/2 binary64))))
(* x (+ (* -1/2 y) (/ 1 x)))
(+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 x #s(literal -1/2 binary64))))
(* x (+ (* -1/2 y) (/ 1 x)))
(+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 x #s(literal -1/2 binary64))))
(* -1/2 (* x y))
(*.f64 y (*.f64 x #s(literal -1/2 binary64)))
(* -1 (* x (- (* 1/2 y) (/ 1 x))))
(+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 x #s(literal -1/2 binary64))))
(* -1 (* x (- (* 1/2 y) (/ 1 x))))
(+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 x #s(literal -1/2 binary64))))
(* -1 (* x (- (* 1/2 y) (/ 1 x))))
(+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 x #s(literal -1/2 binary64))))
(* -1/2 (* x y))
(*.f64 y (*.f64 x #s(literal -1/2 binary64)))
(* -1/2 (* x y))
(*.f64 y (*.f64 x #s(literal -1/2 binary64)))
(* -1/2 (* x y))
(*.f64 y (*.f64 x #s(literal -1/2 binary64)))
(* -1/2 (* x y))
(*.f64 y (*.f64 x #s(literal -1/2 binary64)))
(* -1/2 (* x y))
(*.f64 y (*.f64 x #s(literal -1/2 binary64)))
(* -1/2 (* x y))
(*.f64 y (*.f64 x #s(literal -1/2 binary64)))
(* -1/2 (* x y))
(*.f64 y (*.f64 x #s(literal -1/2 binary64)))
(* -1/2 (* x y))
(*.f64 y (*.f64 x #s(literal -1/2 binary64)))
(* -1/2 (* x y))
(*.f64 y (*.f64 x #s(literal -1/2 binary64)))
(* -1/2 (* x y))
(*.f64 y (*.f64 x #s(literal -1/2 binary64)))
(* -1/2 (* x y))
(*.f64 y (*.f64 x #s(literal -1/2 binary64)))
(* -1/2 (* x y))
(*.f64 y (*.f64 x #s(literal -1/2 binary64)))
(* -1/2 (* x y))
(*.f64 y (*.f64 x #s(literal -1/2 binary64)))
(* -1/2 (* x y))
(*.f64 y (*.f64 x #s(literal -1/2 binary64)))
(* -1/2 (* x y))
(*.f64 y (*.f64 x #s(literal -1/2 binary64)))
(* -1/2 (* x y))
(*.f64 y (*.f64 x #s(literal -1/2 binary64)))
(* -1/2 (* x y))
(*.f64 y (*.f64 x #s(literal -1/2 binary64)))
(* -1/2 (* x y))
(*.f64 y (*.f64 x #s(literal -1/2 binary64)))
(* -1/2 (* x y))
(*.f64 y (*.f64 x #s(literal -1/2 binary64)))
(* -1/2 (* x y))
(*.f64 y (*.f64 x #s(literal -1/2 binary64)))
(* -1/2 (* x y))
(*.f64 y (*.f64 x #s(literal -1/2 binary64)))
(* -1/2 (* x y))
(*.f64 y (*.f64 x #s(literal -1/2 binary64)))
(* -1/2 (* x y))
(*.f64 y (*.f64 x #s(literal -1/2 binary64)))
(* -1/2 (* x y))
(*.f64 y (*.f64 x #s(literal -1/2 binary64)))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* -1/2 x)
(*.f64 x #s(literal -1/2 binary64))
(* -1/2 x)
(*.f64 x #s(literal -1/2 binary64))
(* -1/2 x)
(*.f64 x #s(literal -1/2 binary64))
(* -1/2 x)
(*.f64 x #s(literal -1/2 binary64))
(* -1/2 x)
(*.f64 x #s(literal -1/2 binary64))
(* -1/2 x)
(*.f64 x #s(literal -1/2 binary64))
(* -1/2 x)
(*.f64 x #s(literal -1/2 binary64))
(* -1/2 x)
(*.f64 x #s(literal -1/2 binary64))
(* -1/2 x)
(*.f64 x #s(literal -1/2 binary64))
(* -1/2 x)
(*.f64 x #s(literal -1/2 binary64))
(* -1/2 x)
(*.f64 x #s(literal -1/2 binary64))
(* -1/2 x)
(*.f64 x #s(literal -1/2 binary64))

eval267.0ms (1.8%)

Memory
17.7MiB live, 326.0MiB allocated
Compiler

Compiled 21 823 to 2 443 computations (88.8% saved)

prune405.0ms (2.8%)

Memory
0.3MiB live, 247.2MiB allocated
Pruning

13 alts after pruning (4 fresh and 9 done)

PrunedKeptTotal
New1 15811 159
Fresh033
Picked145
Done055
Total1 159131 172
Accuracy
100.0%
Counts
1 172 → 13
Alt Table
Click to see full alt table
StatusAccuracyProgram
11.4%
(/.f64 #s(literal -2 binary64) x)
51.0%
(-.f64 x (/.f64 (/.f64 (/.f64 y #s(literal 1/2 binary64)) x) y))
99.9%
(-.f64 x (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64)))))
56.0%
(-.f64 x (/.f64 y (*.f64 #s(literal 1/2 binary64) (*.f64 y x))))
56.0%
(-.f64 x (/.f64 #s(literal 2 binary64) x))
99.9%
(-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 2 binary64) y))) y)))
75.6%
(-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)))
99.9%
(-.f64 x (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x #s(literal 1/2 binary64)))))
56.0%
(-.f64 x (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 y x)) y))
75.7%
(-.f64 x y)
31.3%
(*.f64 y (+.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y #s(literal 1/2 binary64)))))
54.3%
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x))))
59.7%
x
Compiler

Compiled 125 to 85 computations (32% saved)

simplify529.0ms (3.7%)

Memory
-2.9MiB live, 311.9MiB allocated
Algorithm
egg-herbie
Localize:

Found 13 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f64 #s(literal -2 binary64) x)
cost-diff0
(/.f64 y #s(literal 1/2 binary64))
cost-diff0
(/.f64 (/.f64 y #s(literal 1/2 binary64)) x)
cost-diff0
(-.f64 x (/.f64 (/.f64 (/.f64 y #s(literal 1/2 binary64)) x) y))
cost-diff256
(/.f64 (/.f64 (/.f64 y #s(literal 1/2 binary64)) x) y)
cost-diff0
(*.f64 y #s(literal 1/2 binary64))
cost-diff0
(*.f64 x (*.f64 y #s(literal 1/2 binary64)))
cost-diff0
(+.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y #s(literal 1/2 binary64))))
cost-diff0
(*.f64 y (+.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y #s(literal 1/2 binary64)))))
cost-diff0
(*.f64 x x)
cost-diff0
(/.f64 #s(literal -2 binary64) (*.f64 x x))
cost-diff0
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x)))
cost-diff256
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x))))
Rules
3 986×accelerator-lowering-fma.f32
3 986×accelerator-lowering-fma.f64
3 014×*-lowering-*.f32
3 014×*-lowering-*.f64
2 036×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01987
14887
29887
324375
450275
5109375
6299675
7480175
8784375
0806173
Stop Event
iter limit
node limit
Calls
Call 1
Inputs
(* x (+ 1 (/ -2 (* x x))))
x
(+ 1 (/ -2 (* x x)))
1
(/ -2 (* x x))
-2
(* x x)
(* y (+ -1 (* x (* y 1/2))))
y
(+ -1 (* x (* y 1/2)))
-1
(* x (* y 1/2))
x
(* y 1/2)
1/2
(- x (/ (/ (/ y 1/2) x) y))
x
(/ (/ (/ y 1/2) x) y)
(/ (/ y 1/2) x)
(/ y 1/2)
y
1/2
(/ -2 x)
-2
x
Outputs
(* x (+ 1 (/ -2 (* x x))))
(+.f64 x (/.f64 #s(literal -2 binary64) x))
x
(+ 1 (/ -2 (* x x)))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x)))
1
#s(literal 1 binary64)
(/ -2 (* x x))
(/.f64 #s(literal -2 binary64) (*.f64 x x))
-2
#s(literal -2 binary64)
(* x x)
(*.f64 x x)
(* y (+ -1 (* x (* y 1/2))))
(*.f64 y (+.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y #s(literal 1/2 binary64)))))
y
(+ -1 (* x (* y 1/2)))
(+.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y #s(literal 1/2 binary64))))
-1
#s(literal -1 binary64)
(* x (* y 1/2))
(*.f64 x (*.f64 y #s(literal 1/2 binary64)))
x
(* y 1/2)
(*.f64 y #s(literal 1/2 binary64))
1/2
#s(literal 1/2 binary64)
(- x (/ (/ (/ y 1/2) x) y))
(+.f64 x (/.f64 #s(literal -2 binary64) x))
x
(/ (/ (/ y 1/2) x) y)
(/.f64 #s(literal 2 binary64) x)
(/ (/ y 1/2) x)
(/.f64 (/.f64 y #s(literal 1/2 binary64)) x)
(/ y 1/2)
(/.f64 y #s(literal 1/2 binary64))
y
1/2
#s(literal 1/2 binary64)
(/ -2 x)
(/.f64 #s(literal -2 binary64) x)
-2
#s(literal -2 binary64)
x

localize90.0ms (0.6%)

Memory
-6.6MiB live, 112.7MiB allocated
Localize:

Found 13 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(/.f64 #s(literal -2 binary64) x)
accuracy100.0%
(/.f64 (/.f64 y #s(literal 1/2 binary64)) x)
accuracy100.0%
(/.f64 y #s(literal 1/2 binary64))
accuracy100.0%
(-.f64 x (/.f64 (/.f64 (/.f64 y #s(literal 1/2 binary64)) x) y))
accuracy75.0%
(/.f64 (/.f64 (/.f64 y #s(literal 1/2 binary64)) x) y)
accuracy100.0%
(+.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y #s(literal 1/2 binary64))))
accuracy100.0%
(*.f64 y #s(literal 1/2 binary64))
accuracy100.0%
(*.f64 x (*.f64 y #s(literal 1/2 binary64)))
accuracy99.9%
(*.f64 y (+.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y #s(literal 1/2 binary64)))))
accuracy100.0%
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x)))
accuracy100.0%
(*.f64 x x)
accuracy99.3%
(/.f64 #s(literal -2 binary64) (*.f64 x x))
accuracy73.4%
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x))))
Samples
59.0ms256×0valid
Compiler

Compiled 89 to 21 computations (76.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 28.0ms
ival-mult: 16.0ms (57.6% of total)
ival-div: 8.0ms (28.8% of total)
ival-add: 2.0ms (7.2% of total)
ival-sub: 1.0ms (3.6% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series8.0ms (0.1%)

Memory
19.0MiB live, 19.0MiB allocated
Counts
13 → 228
Calls
Call 1
Inputs
#<alt (* x (+ 1 (/ -2 (* x x))))>
#<alt (+ 1 (/ -2 (* x x)))>
#<alt (/ -2 (* x x))>
#<alt (* x x)>
#<alt (* y (+ -1 (* x (* y 1/2))))>
#<alt (+ -1 (* x (* y 1/2)))>
#<alt (* x (* y 1/2))>
#<alt (* y 1/2)>
#<alt (/ (/ (/ y 1/2) x) y)>
#<alt (- x (/ (/ (/ y 1/2) x) y))>
#<alt (/ (/ y 1/2) x)>
#<alt (/ y 1/2)>
#<alt (/ -2 x)>
Outputs
#<alt (/ -2 x)>
#<alt (/ (- (pow x 2) 2) x)>
#<alt (/ (- (pow x 2) 2) x)>
#<alt (/ (- (pow x 2) 2) x)>
#<alt x>
#<alt (* x (- 1 (* 2 (/ 1 (pow x 2)))))>
#<alt (* x (- 1 (* 2 (/ 1 (pow x 2)))))>
#<alt (* x (- 1 (* 2 (/ 1 (pow x 2)))))>
#<alt x>
#<alt (* -1 (* x (- (* 2 (/ 1 (pow x 2))) 1)))>
#<alt (* -1 (* x (- (* 2 (/ 1 (pow x 2))) 1)))>
#<alt (* -1 (* x (- (* 2 (/ 1 (pow x 2))) 1)))>
#<alt (/ -2 (pow x 2))>
#<alt (/ (- (pow x 2) 2) (pow x 2))>
#<alt (/ (- (pow x 2) 2) (pow x 2))>
#<alt (/ (- (pow x 2) 2) (pow x 2))>
#<alt 1>
#<alt (- 1 (* 2 (/ 1 (pow x 2))))>
#<alt (- 1 (* 2 (/ 1 (pow x 2))))>
#<alt (- 1 (* 2 (/ 1 (pow x 2))))>
#<alt 1>
#<alt (- 1 (* 2 (/ 1 (pow x 2))))>
#<alt (- 1 (* 2 (/ 1 (pow x 2))))>
#<alt (- 1 (* 2 (/ 1 (pow x 2))))>
#<alt (/ -2 (pow x 2))>
#<alt (/ -2 (pow x 2))>
#<alt (/ -2 (pow x 2))>
#<alt (/ -2 (pow x 2))>
#<alt (/ -2 (pow x 2))>
#<alt (/ -2 (pow x 2))>
#<alt (/ -2 (pow x 2))>
#<alt (/ -2 (pow x 2))>
#<alt (/ -2 (pow x 2))>
#<alt (/ -2 (pow x 2))>
#<alt (/ -2 (pow x 2))>
#<alt (/ -2 (pow x 2))>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (* -1 y)>
#<alt (* y (- (* 1/2 (* x y)) 1))>
#<alt (* y (- (* 1/2 (* x y)) 1))>
#<alt (* y (- (* 1/2 (* x y)) 1))>
#<alt (* 1/2 (* x (pow y 2)))>
#<alt (* (pow y 2) (- (* 1/2 x) (/ 1 y)))>
#<alt (* (pow y 2) (- (* 1/2 x) (/ 1 y)))>
#<alt (* (pow y 2) (- (* 1/2 x) (/ 1 y)))>
#<alt (* 1/2 (* x (pow y 2)))>
#<alt (* (pow y 2) (- (* 1/2 x) (/ 1 y)))>
#<alt (* (pow y 2) (- (* 1/2 x) (/ 1 y)))>
#<alt (* (pow y 2) (- (* 1/2 x) (/ 1 y)))>
#<alt (* -1 y)>
#<alt (+ (* -1 y) (* 1/2 (* x (pow y 2))))>
#<alt (+ (* -1 y) (* 1/2 (* x (pow y 2))))>
#<alt (+ (* -1 y) (* 1/2 (* x (pow y 2))))>
#<alt (* 1/2 (* x (pow y 2)))>
#<alt (* x (+ (* -1 (/ y x)) (* 1/2 (pow y 2))))>
#<alt (* x (+ (* -1 (/ y x)) (* 1/2 (pow y 2))))>
#<alt (* x (+ (* -1 (/ y x)) (* 1/2 (pow y 2))))>
#<alt (* 1/2 (* x (pow y 2)))>
#<alt (* -1 (* x (+ (* -1/2 (pow y 2)) (/ y x))))>
#<alt (* -1 (* x (+ (* -1/2 (pow y 2)) (/ y x))))>
#<alt (* -1 (* x (+ (* -1/2 (pow y 2)) (/ y x))))>
#<alt -1>
#<alt (- (* 1/2 (* x y)) 1)>
#<alt (- (* 1/2 (* x y)) 1)>
#<alt (- (* 1/2 (* x y)) 1)>
#<alt (* 1/2 (* x y))>
#<alt (* x (- (* 1/2 y) (/ 1 x)))>
#<alt (* x (- (* 1/2 y) (/ 1 x)))>
#<alt (* x (- (* 1/2 y) (/ 1 x)))>
#<alt (* 1/2 (* x y))>
#<alt (* -1 (* x (+ (* -1/2 y) (/ 1 x))))>
#<alt (* -1 (* x (+ (* -1/2 y) (/ 1 x))))>
#<alt (* -1 (* x (+ (* -1/2 y) (/ 1 x))))>
#<alt -1>
#<alt (- (* 1/2 (* x y)) 1)>
#<alt (- (* 1/2 (* x y)) 1)>
#<alt (- (* 1/2 (* x y)) 1)>
#<alt (* 1/2 (* x y))>
#<alt (* y (- (* 1/2 x) (/ 1 y)))>
#<alt (* y (- (* 1/2 x) (/ 1 y)))>
#<alt (* y (- (* 1/2 x) (/ 1 y)))>
#<alt (* 1/2 (* x y))>
#<alt (* -1 (* y (+ (* -1/2 x) (/ 1 y))))>
#<alt (* -1 (* y (+ (* -1/2 x) (/ 1 y))))>
#<alt (* -1 (* y (+ (* -1/2 x) (/ 1 y))))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 y)>
#<alt (* 1/2 y)>
#<alt (* 1/2 y)>
#<alt (* 1/2 y)>
#<alt (* 1/2 y)>
#<alt (* 1/2 y)>
#<alt (* 1/2 y)>
#<alt (* 1/2 y)>
#<alt (* 1/2 y)>
#<alt (* 1/2 y)>
#<alt (* 1/2 y)>
#<alt (* 1/2 y)>
#<alt (/ 2 x)>
#<alt (/ 2 x)>
#<alt (/ 2 x)>
#<alt (/ 2 x)>
#<alt (/ 2 x)>
#<alt (/ 2 x)>
#<alt (/ 2 x)>
#<alt (/ 2 x)>
#<alt (/ 2 x)>
#<alt (/ 2 x)>
#<alt (/ 2 x)>
#<alt (/ 2 x)>
#<alt (/ 2 x)>
#<alt (/ 2 x)>
#<alt (/ 2 x)>
#<alt (/ 2 x)>
#<alt (/ 2 x)>
#<alt (/ 2 x)>
#<alt (/ 2 x)>
#<alt (/ 2 x)>
#<alt (/ 2 x)>
#<alt (/ 2 x)>
#<alt (/ 2 x)>
#<alt (/ 2 x)>
#<alt (/ -2 x)>
#<alt (/ (- (pow x 2) 2) x)>
#<alt (/ (- (pow x 2) 2) x)>
#<alt (/ (- (pow x 2) 2) x)>
#<alt x>
#<alt (* x (- 1 (* 2 (/ 1 (pow x 2)))))>
#<alt (* x (- 1 (* 2 (/ 1 (pow x 2)))))>
#<alt (* x (- 1 (* 2 (/ 1 (pow x 2)))))>
#<alt x>
#<alt (* -1 (* x (- (* 2 (/ 1 (pow x 2))) 1)))>
#<alt (* -1 (* x (- (* 2 (/ 1 (pow x 2))) 1)))>
#<alt (* -1 (* x (- (* 2 (/ 1 (pow x 2))) 1)))>
#<alt (- x (* 2 (/ 1 x)))>
#<alt (- x (* 2 (/ 1 x)))>
#<alt (- x (* 2 (/ 1 x)))>
#<alt (- x (* 2 (/ 1 x)))>
#<alt (- x (* 2 (/ 1 x)))>
#<alt (- x (* 2 (/ 1 x)))>
#<alt (- x (* 2 (/ 1 x)))>
#<alt (- x (* 2 (/ 1 x)))>
#<alt (- x (* 2 (/ 1 x)))>
#<alt (- x (* 2 (/ 1 x)))>
#<alt (- x (* 2 (/ 1 x)))>
#<alt (- x (* 2 (/ 1 x)))>
#<alt (* 2 (/ y x))>
#<alt (* 2 (/ y x))>
#<alt (* 2 (/ y x))>
#<alt (* 2 (/ y x))>
#<alt (* 2 (/ y x))>
#<alt (* 2 (/ y x))>
#<alt (* 2 (/ y x))>
#<alt (* 2 (/ y x))>
#<alt (* 2 (/ y x))>
#<alt (* 2 (/ y x))>
#<alt (* 2 (/ y x))>
#<alt (* 2 (/ y x))>
#<alt (* 2 (/ y x))>
#<alt (* 2 (/ y x))>
#<alt (* 2 (/ y x))>
#<alt (* 2 (/ y x))>
#<alt (* 2 (/ y x))>
#<alt (* 2 (/ y x))>
#<alt (* 2 (/ y x))>
#<alt (* 2 (/ y x))>
#<alt (* 2 (/ y x))>
#<alt (* 2 (/ y x))>
#<alt (* 2 (/ y x))>
#<alt (* 2 (/ y x))>
#<alt (* 2 y)>
#<alt (* 2 y)>
#<alt (* 2 y)>
#<alt (* 2 y)>
#<alt (* 2 y)>
#<alt (* 2 y)>
#<alt (* 2 y)>
#<alt (* 2 y)>
#<alt (* 2 y)>
#<alt (* 2 y)>
#<alt (* 2 y)>
#<alt (* 2 y)>
#<alt (/ -2 x)>
#<alt (/ -2 x)>
#<alt (/ -2 x)>
#<alt (/ -2 x)>
#<alt (/ -2 x)>
#<alt (/ -2 x)>
#<alt (/ -2 x)>
#<alt (/ -2 x)>
#<alt (/ -2 x)>
#<alt (/ -2 x)>
#<alt (/ -2 x)>
#<alt (/ -2 x)>
Calls

57 calls:

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

rewrite371.0ms (2.6%)

Memory
-1.9MiB live, 811.5MiB allocated
Algorithm
batch-egg-rewrite
Rules
6 900×accelerator-lowering-fma.f32
6 900×accelerator-lowering-fma.f64
4 574×*-lowering-*.f32
4 574×*-lowering-*.f64
4 176×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01975
111875
298663
0868460
Stop Event
iter limit
node limit
Counts
13 → 668
Calls
Call 1
Inputs
(* x (+ 1 (/ -2 (* x x))))
(+ 1 (/ -2 (* x x)))
(/ -2 (* x x))
(* x x)
(* y (+ -1 (* x (* y 1/2))))
(+ -1 (* x (* y 1/2)))
(* x (* y 1/2))
(* y 1/2)
(/ (/ (/ y 1/2) x) y)
(- x (/ (/ (/ y 1/2) x) y))
(/ (/ y 1/2) x)
(/ y 1/2)
(/ -2 x)
Outputs
(+.f64 x (/.f64 #s(literal -2 binary64) x))
(+.f64 x (*.f64 (-.f64 #s(literal 0 binary64) y) (/.f64 #s(literal 2 binary64) (*.f64 x y))))
(+.f64 x (*.f64 (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) y)) (/.f64 (/.f64 y #s(literal 1/2 binary64)) x)))
(+.f64 (/.f64 #s(literal -2 binary64) x) x)
(+.f64 (/.f64 (*.f64 x (*.f64 x x)) (+.f64 (*.f64 x x) (*.f64 (/.f64 #s(literal 2 binary64) x) (+.f64 x (/.f64 #s(literal 2 binary64) x))))) (neg.f64 (/.f64 (neg.f64 (/.f64 #s(literal -8 binary64) (*.f64 x (*.f64 x x)))) (+.f64 (*.f64 x x) (*.f64 (/.f64 #s(literal 2 binary64) x) (+.f64 x (/.f64 #s(literal 2 binary64) x)))))))
(+.f64 (/.f64 (*.f64 x x) (+.f64 x (/.f64 #s(literal 2 binary64) x))) (neg.f64 (/.f64 (/.f64 (/.f64 #s(literal -2 binary64) x) (/.f64 x #s(literal -2 binary64))) (+.f64 x (/.f64 #s(literal 2 binary64) x)))))
(-.f64 x (/.f64 #s(literal 2 binary64) x))
(-.f64 (/.f64 (*.f64 x (*.f64 x x)) (+.f64 (*.f64 x x) (*.f64 (/.f64 #s(literal 2 binary64) x) (+.f64 x (/.f64 #s(literal 2 binary64) x))))) (/.f64 (neg.f64 (/.f64 #s(literal -8 binary64) (*.f64 x (*.f64 x x)))) (+.f64 (*.f64 x x) (*.f64 (/.f64 #s(literal 2 binary64) x) (+.f64 x (/.f64 #s(literal 2 binary64) x))))))
(-.f64 (/.f64 (*.f64 x x) (+.f64 x (/.f64 #s(literal 2 binary64) x))) (/.f64 (/.f64 (/.f64 #s(literal -2 binary64) x) (/.f64 x #s(literal -2 binary64))) (+.f64 x (/.f64 #s(literal 2 binary64) x))))
(fma.f64 x #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) x))
(fma.f64 x #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 0 binary64) y) (/.f64 #s(literal 2 binary64) (*.f64 x y))))
(fma.f64 x #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) y)) (/.f64 (/.f64 y #s(literal 1/2 binary64)) x)))
(fma.f64 x (/.f64 #s(literal -2 binary64) (*.f64 x x)) x)
(fma.f64 #s(literal 1 binary64) x (/.f64 #s(literal -2 binary64) x))
(fma.f64 #s(literal 1 binary64) x (*.f64 (-.f64 #s(literal 0 binary64) y) (/.f64 #s(literal 2 binary64) (*.f64 x y))))
(fma.f64 #s(literal 1 binary64) x (*.f64 (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) y)) (/.f64 (/.f64 y #s(literal 1/2 binary64)) x)))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) x) x)
(fma.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 2 binary64) x) #s(literal -1 binary64)) x)
(fma.f64 #s(literal -2 binary64) (/.f64 #s(literal 1 binary64) x) x)
(fma.f64 #s(literal -2 binary64) (/.f64 x (*.f64 x x)) x)
(fma.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (+.f64 x (/.f64 #s(literal 2 binary64) x))) (neg.f64 (/.f64 (/.f64 (/.f64 #s(literal -2 binary64) x) (/.f64 x #s(literal -2 binary64))) (+.f64 x (/.f64 #s(literal 2 binary64) x)))))
(fma.f64 (/.f64 #s(literal -2 binary64) (*.f64 x x)) x x)
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) x) x)
(fma.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) x) (/.f64 #s(literal -2 binary64) x))
(fma.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) x) (*.f64 (-.f64 #s(literal 0 binary64) y) (/.f64 #s(literal 2 binary64) (*.f64 x y))))
(fma.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) x) (*.f64 (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) y)) (/.f64 (/.f64 y #s(literal 1/2 binary64)) x)))
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 x #s(literal -2 binary64)))) x)
(fma.f64 (/.f64 y #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 x y))) x)
(fma.f64 (/.f64 (/.f64 y #s(literal 1/2 binary64)) x) (/.f64 #s(literal -1 binary64) y) x)
(fma.f64 (/.f64 (/.f64 y #s(literal 1/2 binary64)) x) (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) y)) x)
(fma.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 x (-.f64 #s(literal 0 binary64) x)) x)
(fma.f64 (/.f64 #s(literal -2 binary64) x) #s(literal 1 binary64) x)
(fma.f64 (/.f64 #s(literal -2 binary64) x) (/.f64 x x) x)
(fma.f64 #s(literal 2 binary64) (/.f64 #s(literal -1 binary64) x) x)
(fma.f64 (*.f64 y (/.f64 #s(literal -2 binary64) x)) (/.f64 #s(literal 1 binary64) y) x)
(fma.f64 (/.f64 y #s(literal -1/2 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) x) y) x)
(fma.f64 (*.f64 x (*.f64 x x)) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x x) (*.f64 (/.f64 #s(literal 2 binary64) x) (+.f64 x (/.f64 #s(literal 2 binary64) x))))) (neg.f64 (/.f64 (neg.f64 (/.f64 #s(literal -8 binary64) (*.f64 x (*.f64 x x)))) (+.f64 (*.f64 x x) (*.f64 (/.f64 #s(literal 2 binary64) x) (+.f64 x (/.f64 #s(literal 2 binary64) x)))))))
(fma.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (/.f64 (/.f64 y #s(literal 1/2 binary64)) x) #s(literal -1 binary64)) x)
(fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -2 binary64) x)
(fma.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 x (/.f64 #s(literal -2 binary64) x)) x)
(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 x #s(literal -1/2 binary64)) x)
(fma.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 (/.f64 y #s(literal 1/2 binary64)) x) x)
(fma.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (/.f64 y #s(literal 1/2 binary64)) y) x)
(fma.f64 (*.f64 x #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x x)) x)
(fma.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y) (/.f64 (/.f64 y #s(literal 1/2 binary64)) #s(literal -1 binary64)) x)
(fma.f64 (*.f64 x (/.f64 #s(literal -2 binary64) x)) (/.f64 #s(literal 1 binary64) x) x)
(fma.f64 (*.f64 x #s(literal 2 binary64)) (/.f64 #s(literal -1 binary64) (*.f64 x x)) x)
(fma.f64 (/.f64 (/.f64 y #s(literal -1/2 binary64)) y) (/.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) x)
(fma.f64 (*.f64 #s(literal -2 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 x x)) x)
(fma.f64 (*.f64 (/.f64 #s(literal -2 binary64) x) x) (/.f64 #s(literal 1 binary64) x) x)
(fma.f64 (*.f64 #s(literal 2 binary64) x) (/.f64 #s(literal -1 binary64) (*.f64 x x)) x)
(fma.f64 (/.f64 (-.f64 #s(literal 0 binary64) y) x) (/.f64 #s(literal 2 binary64) y) x)
(fma.f64 (/.f64 (/.f64 y #s(literal 1/2 binary64)) y) (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) x)
(fma.f64 (/.f64 y x) (/.f64 #s(literal -2 binary64) y) x)
(fma.f64 (/.f64 (/.f64 #s(literal -2 binary64) x) #s(literal 1 binary64)) (/.f64 x x) x)
(fma.f64 (/.f64 y #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal 2 binary64) x) y) x)
(fma.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (/.f64 (/.f64 y #s(literal 1/2 binary64)) y) x)
(fma.f64 (/.f64 (/.f64 y #s(literal 1/2 binary64)) #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) x) y) x)
(fma.f64 (/.f64 (/.f64 y #s(literal -1/2 binary64)) #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal -1 binary64) x) y) x)
(fma.f64 (/.f64 (-.f64 #s(literal 0 binary64) y) y) (/.f64 #s(literal 2 binary64) x) x)
(fma.f64 (/.f64 x x) (/.f64 #s(literal -2 binary64) x) x)
(fma.f64 (/.f64 x x) (/.f64 (/.f64 #s(literal -2 binary64) x) #s(literal 1 binary64)) x)
(fma.f64 (/.f64 x (-.f64 #s(literal 0 binary64) x)) (/.f64 #s(literal 2 binary64) x) x)
(fma.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 x x)) x)
(fma.f64 (/.f64 x (*.f64 x x)) #s(literal -2 binary64) x)
(fma.f64 (pow.f64 x #s(literal 1/2 binary64)) (pow.f64 x #s(literal 1/2 binary64)) (/.f64 #s(literal -2 binary64) x))
(fma.f64 (pow.f64 x #s(literal 1/2 binary64)) (pow.f64 x #s(literal 1/2 binary64)) (*.f64 (-.f64 #s(literal 0 binary64) y) (/.f64 #s(literal 2 binary64) (*.f64 x y))))
(fma.f64 (pow.f64 x #s(literal 1/2 binary64)) (pow.f64 x #s(literal 1/2 binary64)) (*.f64 (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) y)) (/.f64 (/.f64 y #s(literal 1/2 binary64)) x)))
(fma.f64 (pow.f64 (/.f64 x #s(literal -2 binary64)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 x #s(literal -2 binary64)) #s(literal -1/2 binary64)) x)
(/.f64 x (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x (/.f64 #s(literal -2 binary64) x))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal -2 binary64) (*.f64 x x)) #s(literal -1 binary64)) (/.f64 x (/.f64 #s(literal -2 binary64) x)))) (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -8 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x))) (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal -2 binary64) (*.f64 x x)) #s(literal -1 binary64)) (/.f64 x (/.f64 #s(literal -2 binary64) x)))) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -8 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))))) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x))) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x (/.f64 #s(literal -2 binary64) x))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 x x) (-.f64 (/.f64 (/.f64 #s(literal -2 binary64) x) (/.f64 x #s(literal -2 binary64))) (*.f64 x (/.f64 #s(literal -2 binary64) x)))) (+.f64 (*.f64 x (*.f64 x x)) (/.f64 #s(literal -8 binary64) (*.f64 x (*.f64 x x))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 x (/.f64 #s(literal -2 binary64) x)))))
(/.f64 (+.f64 (*.f64 x (*.f64 x x)) (/.f64 #s(literal -8 binary64) (*.f64 x (*.f64 x x)))) (+.f64 (*.f64 x x) (*.f64 (/.f64 #s(literal 2 binary64) x) (+.f64 x (/.f64 #s(literal 2 binary64) x)))))
(/.f64 (+.f64 (*.f64 x (*.f64 x x)) (/.f64 #s(literal -8 binary64) (*.f64 x (*.f64 x x)))) (+.f64 (*.f64 x x) (-.f64 (/.f64 (/.f64 #s(literal -2 binary64) x) (/.f64 x #s(literal -2 binary64))) (*.f64 x (/.f64 #s(literal -2 binary64) x)))))
(/.f64 (-.f64 (*.f64 x x) (/.f64 (/.f64 #s(literal -2 binary64) x) (/.f64 x #s(literal -2 binary64)))) (+.f64 x (/.f64 #s(literal 2 binary64) x)))
(/.f64 (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 x (*.f64 x x)) (/.f64 #s(literal -8 binary64) (*.f64 x (*.f64 x x))))) (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 x x) (*.f64 (/.f64 #s(literal 2 binary64) x) (+.f64 x (/.f64 #s(literal 2 binary64) x))))))
(/.f64 (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 x (*.f64 x x)) (/.f64 #s(literal -8 binary64) (*.f64 x (*.f64 x x))))) (neg.f64 (+.f64 (*.f64 x x) (-.f64 (/.f64 (/.f64 #s(literal -2 binary64) x) (/.f64 x #s(literal -2 binary64))) (*.f64 x (/.f64 #s(literal -2 binary64) x))))))
(/.f64 (-.f64 #s(literal 0 binary64) (-.f64 (*.f64 x x) (/.f64 (/.f64 #s(literal -2 binary64) x) (/.f64 x #s(literal -2 binary64))))) (-.f64 #s(literal 0 binary64) (+.f64 x (/.f64 #s(literal 2 binary64) x))))
(/.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -8 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x)))))) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal -2 binary64) (*.f64 x x)) #s(literal -1 binary64)) (/.f64 x (/.f64 #s(literal -2 binary64) x)))))
(/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) (*.f64 (*.f64 x x) (*.f64 x x))))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x))))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -8 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))))) x) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal -2 binary64) (*.f64 x x)) #s(literal -1 binary64)) (/.f64 x (/.f64 #s(literal -2 binary64) x)))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) x) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x))))
(/.f64 (-.f64 (*.f64 (*.f64 x (*.f64 x x)) (+.f64 (*.f64 x x) (*.f64 (/.f64 #s(literal 2 binary64) x) (+.f64 x (/.f64 #s(literal 2 binary64) x))))) (*.f64 (+.f64 (*.f64 x x) (*.f64 (/.f64 #s(literal 2 binary64) x) (+.f64 x (/.f64 #s(literal 2 binary64) x)))) (neg.f64 (/.f64 #s(literal -8 binary64) (*.f64 x (*.f64 x x)))))) (*.f64 (+.f64 (*.f64 x x) (*.f64 (/.f64 #s(literal 2 binary64) x) (+.f64 x (/.f64 #s(literal 2 binary64) x)))) (+.f64 (*.f64 x x) (*.f64 (/.f64 #s(literal 2 binary64) x) (+.f64 x (/.f64 #s(literal 2 binary64) x))))))
(/.f64 (-.f64 (*.f64 (*.f64 x x) (+.f64 x (/.f64 #s(literal 2 binary64) x))) (*.f64 (+.f64 x (/.f64 #s(literal 2 binary64) x)) (/.f64 (/.f64 #s(literal -2 binary64) x) (/.f64 x #s(literal -2 binary64))))) (*.f64 (+.f64 x (/.f64 #s(literal 2 binary64) x)) (+.f64 x (/.f64 #s(literal 2 binary64) x))))
(/.f64 (neg.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -8 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))))))) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal -2 binary64) (*.f64 x x)) #s(literal -1 binary64)) (/.f64 x (/.f64 #s(literal -2 binary64) x))))))
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simplify276.0ms (1.9%)

Memory
-6.3MiB live, 425.5MiB allocated
Algorithm
egg-herbie
Rules
5 042×accelerator-lowering-fma.f32
5 042×accelerator-lowering-fma.f64
2 992×*-lowering-*.f32
2 992×*-lowering-*.f64
1 788×unsub-neg
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0611166
11641148
24291088
37641088
424961088
558091088
082651052
Stop Event
iter limit
node limit
Counts
228 → 228
Calls
Call 1
Inputs
(/ -2 x)
(/ (- (pow x 2) 2) x)
(/ (- (pow x 2) 2) x)
(/ (- (pow x 2) 2) x)
x
(* x (- 1 (* 2 (/ 1 (pow x 2)))))
(* x (- 1 (* 2 (/ 1 (pow x 2)))))
(* x (- 1 (* 2 (/ 1 (pow x 2)))))
x
(* -1 (* x (- (* 2 (/ 1 (pow x 2))) 1)))
(* -1 (* x (- (* 2 (/ 1 (pow x 2))) 1)))
(* -1 (* x (- (* 2 (/ 1 (pow x 2))) 1)))
(/ -2 (pow x 2))
(/ (- (pow x 2) 2) (pow x 2))
(/ (- (pow x 2) 2) (pow x 2))
(/ (- (pow x 2) 2) (pow x 2))
1
(- 1 (* 2 (/ 1 (pow x 2))))
(- 1 (* 2 (/ 1 (pow x 2))))
(- 1 (* 2 (/ 1 (pow x 2))))
1
(- 1 (* 2 (/ 1 (pow x 2))))
(- 1 (* 2 (/ 1 (pow x 2))))
(- 1 (* 2 (/ 1 (pow x 2))))
(/ -2 (pow x 2))
(/ -2 (pow x 2))
(/ -2 (pow x 2))
(/ -2 (pow x 2))
(/ -2 (pow x 2))
(/ -2 (pow x 2))
(/ -2 (pow x 2))
(/ -2 (pow x 2))
(/ -2 (pow x 2))
(/ -2 (pow x 2))
(/ -2 (pow x 2))
(/ -2 (pow x 2))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(* -1 y)
(* y (- (* 1/2 (* x y)) 1))
(* y (- (* 1/2 (* x y)) 1))
(* y (- (* 1/2 (* x y)) 1))
(* 1/2 (* x (pow y 2)))
(* (pow y 2) (- (* 1/2 x) (/ 1 y)))
(* (pow y 2) (- (* 1/2 x) (/ 1 y)))
(* (pow y 2) (- (* 1/2 x) (/ 1 y)))
(* 1/2 (* x (pow y 2)))
(* (pow y 2) (- (* 1/2 x) (/ 1 y)))
(* (pow y 2) (- (* 1/2 x) (/ 1 y)))
(* (pow y 2) (- (* 1/2 x) (/ 1 y)))
(* -1 y)
(+ (* -1 y) (* 1/2 (* x (pow y 2))))
(+ (* -1 y) (* 1/2 (* x (pow y 2))))
(+ (* -1 y) (* 1/2 (* x (pow y 2))))
(* 1/2 (* x (pow y 2)))
(* x (+ (* -1 (/ y x)) (* 1/2 (pow y 2))))
(* x (+ (* -1 (/ y x)) (* 1/2 (pow y 2))))
(* x (+ (* -1 (/ y x)) (* 1/2 (pow y 2))))
(* 1/2 (* x (pow y 2)))
(* -1 (* x (+ (* -1/2 (pow y 2)) (/ y x))))
(* -1 (* x (+ (* -1/2 (pow y 2)) (/ y x))))
(* -1 (* x (+ (* -1/2 (pow y 2)) (/ y x))))
-1
(- (* 1/2 (* x y)) 1)
(- (* 1/2 (* x y)) 1)
(- (* 1/2 (* x y)) 1)
(* 1/2 (* x y))
(* x (- (* 1/2 y) (/ 1 x)))
(* x (- (* 1/2 y) (/ 1 x)))
(* x (- (* 1/2 y) (/ 1 x)))
(* 1/2 (* x y))
(* -1 (* x (+ (* -1/2 y) (/ 1 x))))
(* -1 (* x (+ (* -1/2 y) (/ 1 x))))
(* -1 (* x (+ (* -1/2 y) (/ 1 x))))
-1
(- (* 1/2 (* x y)) 1)
(- (* 1/2 (* x y)) 1)
(- (* 1/2 (* x y)) 1)
(* 1/2 (* x y))
(* y (- (* 1/2 x) (/ 1 y)))
(* y (- (* 1/2 x) (/ 1 y)))
(* y (- (* 1/2 x) (/ 1 y)))
(* 1/2 (* x y))
(* -1 (* y (+ (* -1/2 x) (/ 1 y))))
(* -1 (* y (+ (* -1/2 x) (/ 1 y))))
(* -1 (* y (+ (* -1/2 x) (/ 1 y))))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 y)
(* 1/2 y)
(* 1/2 y)
(* 1/2 y)
(* 1/2 y)
(* 1/2 y)
(* 1/2 y)
(* 1/2 y)
(* 1/2 y)
(* 1/2 y)
(* 1/2 y)
(* 1/2 y)
(/ 2 x)
(/ 2 x)
(/ 2 x)
(/ 2 x)
(/ 2 x)
(/ 2 x)
(/ 2 x)
(/ 2 x)
(/ 2 x)
(/ 2 x)
(/ 2 x)
(/ 2 x)
(/ 2 x)
(/ 2 x)
(/ 2 x)
(/ 2 x)
(/ 2 x)
(/ 2 x)
(/ 2 x)
(/ 2 x)
(/ 2 x)
(/ 2 x)
(/ 2 x)
(/ 2 x)
(/ -2 x)
(/ (- (pow x 2) 2) x)
(/ (- (pow x 2) 2) x)
(/ (- (pow x 2) 2) x)
x
(* x (- 1 (* 2 (/ 1 (pow x 2)))))
(* x (- 1 (* 2 (/ 1 (pow x 2)))))
(* x (- 1 (* 2 (/ 1 (pow x 2)))))
x
(* -1 (* x (- (* 2 (/ 1 (pow x 2))) 1)))
(* -1 (* x (- (* 2 (/ 1 (pow x 2))) 1)))
(* -1 (* x (- (* 2 (/ 1 (pow x 2))) 1)))
(- x (* 2 (/ 1 x)))
(- x (* 2 (/ 1 x)))
(- x (* 2 (/ 1 x)))
(- x (* 2 (/ 1 x)))
(- x (* 2 (/ 1 x)))
(- x (* 2 (/ 1 x)))
(- x (* 2 (/ 1 x)))
(- x (* 2 (/ 1 x)))
(- x (* 2 (/ 1 x)))
(- x (* 2 (/ 1 x)))
(- x (* 2 (/ 1 x)))
(- x (* 2 (/ 1 x)))
(* 2 (/ y x))
(* 2 (/ y x))
(* 2 (/ y x))
(* 2 (/ y x))
(* 2 (/ y x))
(* 2 (/ y x))
(* 2 (/ y x))
(* 2 (/ y x))
(* 2 (/ y x))
(* 2 (/ y x))
(* 2 (/ y x))
(* 2 (/ y x))
(* 2 (/ y x))
(* 2 (/ y x))
(* 2 (/ y x))
(* 2 (/ y x))
(* 2 (/ y x))
(* 2 (/ y x))
(* 2 (/ y x))
(* 2 (/ y x))
(* 2 (/ y x))
(* 2 (/ y x))
(* 2 (/ y x))
(* 2 (/ y x))
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(/ -2 x)
(/ -2 x)
(/ -2 x)
(/ -2 x)
(/ -2 x)
(/ -2 x)
(/ -2 x)
(/ -2 x)
(/ -2 x)
(/ -2 x)
(/ -2 x)
(/ -2 x)
Outputs
(/ -2 x)
(/.f64 #s(literal -2 binary64) x)
(/ (- (pow x 2) 2) x)
(+.f64 x (/.f64 #s(literal -2 binary64) x))
(/ (- (pow x 2) 2) x)
(+.f64 x (/.f64 #s(literal -2 binary64) x))
(/ (- (pow x 2) 2) x)
(+.f64 x (/.f64 #s(literal -2 binary64) x))
x
(* x (- 1 (* 2 (/ 1 (pow x 2)))))
(+.f64 x (/.f64 #s(literal -2 binary64) x))
(* x (- 1 (* 2 (/ 1 (pow x 2)))))
(+.f64 x (/.f64 #s(literal -2 binary64) x))
(* x (- 1 (* 2 (/ 1 (pow x 2)))))
(+.f64 x (/.f64 #s(literal -2 binary64) x))
x
(* -1 (* x (- (* 2 (/ 1 (pow x 2))) 1)))
(+.f64 x (/.f64 #s(literal -2 binary64) x))
(* -1 (* x (- (* 2 (/ 1 (pow x 2))) 1)))
(+.f64 x (/.f64 #s(literal -2 binary64) x))
(* -1 (* x (- (* 2 (/ 1 (pow x 2))) 1)))
(+.f64 x (/.f64 #s(literal -2 binary64) x))
(/ -2 (pow x 2))
(/.f64 #s(literal -2 binary64) (*.f64 x x))
(/ (- (pow x 2) 2) (pow x 2))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x)))
(/ (- (pow x 2) 2) (pow x 2))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x)))
(/ (- (pow x 2) 2) (pow x 2))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x)))
1
#s(literal 1 binary64)
(- 1 (* 2 (/ 1 (pow x 2))))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x)))
(- 1 (* 2 (/ 1 (pow x 2))))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x)))
(- 1 (* 2 (/ 1 (pow x 2))))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x)))
1
#s(literal 1 binary64)
(- 1 (* 2 (/ 1 (pow x 2))))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x)))
(- 1 (* 2 (/ 1 (pow x 2))))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x)))
(- 1 (* 2 (/ 1 (pow x 2))))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x)))
(/ -2 (pow x 2))
(/.f64 #s(literal -2 binary64) (*.f64 x x))
(/ -2 (pow x 2))
(/.f64 #s(literal -2 binary64) (*.f64 x x))
(/ -2 (pow x 2))
(/.f64 #s(literal -2 binary64) (*.f64 x x))
(/ -2 (pow x 2))
(/.f64 #s(literal -2 binary64) (*.f64 x x))
(/ -2 (pow x 2))
(/.f64 #s(literal -2 binary64) (*.f64 x x))
(/ -2 (pow x 2))
(/.f64 #s(literal -2 binary64) (*.f64 x x))
(/ -2 (pow x 2))
(/.f64 #s(literal -2 binary64) (*.f64 x x))
(/ -2 (pow x 2))
(/.f64 #s(literal -2 binary64) (*.f64 x x))
(/ -2 (pow x 2))
(/.f64 #s(literal -2 binary64) (*.f64 x x))
(/ -2 (pow x 2))
(/.f64 #s(literal -2 binary64) (*.f64 x x))
(/ -2 (pow x 2))
(/.f64 #s(literal -2 binary64) (*.f64 x x))
(/ -2 (pow x 2))
(/.f64 #s(literal -2 binary64) (*.f64 x x))
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(* -1 y)
(-.f64 #s(literal 0 binary64) y)
(* y (- (* 1/2 (* x y)) 1))
(*.f64 y (+.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x y))))
(* y (- (* 1/2 (* x y)) 1))
(*.f64 y (+.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x y))))
(* y (- (* 1/2 (* x y)) 1))
(*.f64 y (+.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x y))))
(* 1/2 (* x (pow y 2)))
(*.f64 y (*.f64 #s(literal 1/2 binary64) (*.f64 x y)))
(* (pow y 2) (- (* 1/2 x) (/ 1 y)))
(*.f64 y (+.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x y))))
(* (pow y 2) (- (* 1/2 x) (/ 1 y)))
(*.f64 y (+.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x y))))
(* (pow y 2) (- (* 1/2 x) (/ 1 y)))
(*.f64 y (+.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x y))))
(* 1/2 (* x (pow y 2)))
(*.f64 y (*.f64 #s(literal 1/2 binary64) (*.f64 x y)))
(* (pow y 2) (- (* 1/2 x) (/ 1 y)))
(*.f64 y (+.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x y))))
(* (pow y 2) (- (* 1/2 x) (/ 1 y)))
(*.f64 y (+.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x y))))
(* (pow y 2) (- (* 1/2 x) (/ 1 y)))
(*.f64 y (+.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x y))))
(* -1 y)
(-.f64 #s(literal 0 binary64) y)
(+ (* -1 y) (* 1/2 (* x (pow y 2))))
(*.f64 y (+.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x y))))
(+ (* -1 y) (* 1/2 (* x (pow y 2))))
(*.f64 y (+.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x y))))
(+ (* -1 y) (* 1/2 (* x (pow y 2))))
(*.f64 y (+.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x y))))
(* 1/2 (* x (pow y 2)))
(*.f64 y (*.f64 #s(literal 1/2 binary64) (*.f64 x y)))
(* x (+ (* -1 (/ y x)) (* 1/2 (pow y 2))))
(*.f64 y (+.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x y))))
(* x (+ (* -1 (/ y x)) (* 1/2 (pow y 2))))
(*.f64 y (+.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x y))))
(* x (+ (* -1 (/ y x)) (* 1/2 (pow y 2))))
(*.f64 y (+.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x y))))
(* 1/2 (* x (pow y 2)))
(*.f64 y (*.f64 #s(literal 1/2 binary64) (*.f64 x y)))
(* -1 (* x (+ (* -1/2 (pow y 2)) (/ y x))))
(*.f64 y (+.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x y))))
(* -1 (* x (+ (* -1/2 (pow y 2)) (/ y x))))
(*.f64 y (+.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x y))))
(* -1 (* x (+ (* -1/2 (pow y 2)) (/ y x))))
(*.f64 y (+.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x y))))
-1
#s(literal -1 binary64)
(- (* 1/2 (* x y)) 1)
(+.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x y)))
(- (* 1/2 (* x y)) 1)
(+.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x y)))
(- (* 1/2 (* x y)) 1)
(+.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x y)))
(* 1/2 (* x y))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(* x (- (* 1/2 y) (/ 1 x)))
(+.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x y)))
(* x (- (* 1/2 y) (/ 1 x)))
(+.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x y)))
(* x (- (* 1/2 y) (/ 1 x)))
(+.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x y)))
(* 1/2 (* x y))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(* -1 (* x (+ (* -1/2 y) (/ 1 x))))
(+.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x y)))
(* -1 (* x (+ (* -1/2 y) (/ 1 x))))
(+.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x y)))
(* -1 (* x (+ (* -1/2 y) (/ 1 x))))
(+.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x y)))
-1
#s(literal -1 binary64)
(- (* 1/2 (* x y)) 1)
(+.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x y)))
(- (* 1/2 (* x y)) 1)
(+.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x y)))
(- (* 1/2 (* x y)) 1)
(+.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x y)))
(* 1/2 (* x y))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(* y (- (* 1/2 x) (/ 1 y)))
(+.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x y)))
(* y (- (* 1/2 x) (/ 1 y)))
(+.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x y)))
(* y (- (* 1/2 x) (/ 1 y)))
(+.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x y)))
(* 1/2 (* x y))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(* -1 (* y (+ (* -1/2 x) (/ 1 y))))
(+.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x y)))
(* -1 (* y (+ (* -1/2 x) (/ 1 y))))
(+.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x y)))
(* -1 (* y (+ (* -1/2 x) (/ 1 y))))
(+.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x y)))
(* 1/2 (* x y))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(* 1/2 (* x y))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(* 1/2 (* x y))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(* 1/2 (* x y))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(* 1/2 (* x y))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(* 1/2 (* x y))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(* 1/2 (* x y))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(* 1/2 (* x y))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(* 1/2 (* x y))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(* 1/2 (* x y))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(* 1/2 (* x y))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(* 1/2 (* x y))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(* 1/2 (* x y))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(* 1/2 (* x y))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(* 1/2 (* x y))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(* 1/2 (* x y))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(* 1/2 (* x y))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(* 1/2 (* x y))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(* 1/2 (* x y))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(* 1/2 (* x y))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(* 1/2 (* x y))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(* 1/2 (* x y))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(* 1/2 (* x y))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(* 1/2 (* x y))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(* 1/2 y)
(*.f64 y #s(literal 1/2 binary64))
(* 1/2 y)
(*.f64 y #s(literal 1/2 binary64))
(* 1/2 y)
(*.f64 y #s(literal 1/2 binary64))
(* 1/2 y)
(*.f64 y #s(literal 1/2 binary64))
(* 1/2 y)
(*.f64 y #s(literal 1/2 binary64))
(* 1/2 y)
(*.f64 y #s(literal 1/2 binary64))
(* 1/2 y)
(*.f64 y #s(literal 1/2 binary64))
(* 1/2 y)
(*.f64 y #s(literal 1/2 binary64))
(* 1/2 y)
(*.f64 y #s(literal 1/2 binary64))
(* 1/2 y)
(*.f64 y #s(literal 1/2 binary64))
(* 1/2 y)
(*.f64 y #s(literal 1/2 binary64))
(* 1/2 y)
(*.f64 y #s(literal 1/2 binary64))
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
(/ -2 x)
(/.f64 #s(literal -2 binary64) x)
(/ (- (pow x 2) 2) x)
(+.f64 x (/.f64 #s(literal -2 binary64) x))
(/ (- (pow x 2) 2) x)
(+.f64 x (/.f64 #s(literal -2 binary64) x))
(/ (- (pow x 2) 2) x)
(+.f64 x (/.f64 #s(literal -2 binary64) x))
x
(* x (- 1 (* 2 (/ 1 (pow x 2)))))
(+.f64 x (/.f64 #s(literal -2 binary64) x))
(* x (- 1 (* 2 (/ 1 (pow x 2)))))
(+.f64 x (/.f64 #s(literal -2 binary64) x))
(* x (- 1 (* 2 (/ 1 (pow x 2)))))
(+.f64 x (/.f64 #s(literal -2 binary64) x))
x
(* -1 (* x (- (* 2 (/ 1 (pow x 2))) 1)))
(+.f64 x (/.f64 #s(literal -2 binary64) x))
(* -1 (* x (- (* 2 (/ 1 (pow x 2))) 1)))
(+.f64 x (/.f64 #s(literal -2 binary64) x))
(* -1 (* x (- (* 2 (/ 1 (pow x 2))) 1)))
(+.f64 x (/.f64 #s(literal -2 binary64) x))
(- x (* 2 (/ 1 x)))
(+.f64 x (/.f64 #s(literal -2 binary64) x))
(- x (* 2 (/ 1 x)))
(+.f64 x (/.f64 #s(literal -2 binary64) x))
(- x (* 2 (/ 1 x)))
(+.f64 x (/.f64 #s(literal -2 binary64) x))
(- x (* 2 (/ 1 x)))
(+.f64 x (/.f64 #s(literal -2 binary64) x))
(- x (* 2 (/ 1 x)))
(+.f64 x (/.f64 #s(literal -2 binary64) x))
(- x (* 2 (/ 1 x)))
(+.f64 x (/.f64 #s(literal -2 binary64) x))
(- x (* 2 (/ 1 x)))
(+.f64 x (/.f64 #s(literal -2 binary64) x))
(- x (* 2 (/ 1 x)))
(+.f64 x (/.f64 #s(literal -2 binary64) x))
(- x (* 2 (/ 1 x)))
(+.f64 x (/.f64 #s(literal -2 binary64) x))
(- x (* 2 (/ 1 x)))
(+.f64 x (/.f64 #s(literal -2 binary64) x))
(- x (* 2 (/ 1 x)))
(+.f64 x (/.f64 #s(literal -2 binary64) x))
(- x (* 2 (/ 1 x)))
(+.f64 x (/.f64 #s(literal -2 binary64) x))
(* 2 (/ y x))
(*.f64 #s(literal 2 binary64) (/.f64 y x))
(* 2 (/ y x))
(*.f64 #s(literal 2 binary64) (/.f64 y x))
(* 2 (/ y x))
(*.f64 #s(literal 2 binary64) (/.f64 y x))
(* 2 (/ y x))
(*.f64 #s(literal 2 binary64) (/.f64 y x))
(* 2 (/ y x))
(*.f64 #s(literal 2 binary64) (/.f64 y x))
(* 2 (/ y x))
(*.f64 #s(literal 2 binary64) (/.f64 y x))
(* 2 (/ y x))
(*.f64 #s(literal 2 binary64) (/.f64 y x))
(* 2 (/ y x))
(*.f64 #s(literal 2 binary64) (/.f64 y x))
(* 2 (/ y x))
(*.f64 #s(literal 2 binary64) (/.f64 y x))
(* 2 (/ y x))
(*.f64 #s(literal 2 binary64) (/.f64 y x))
(* 2 (/ y x))
(*.f64 #s(literal 2 binary64) (/.f64 y x))
(* 2 (/ y x))
(*.f64 #s(literal 2 binary64) (/.f64 y x))
(* 2 (/ y x))
(*.f64 #s(literal 2 binary64) (/.f64 y x))
(* 2 (/ y x))
(*.f64 #s(literal 2 binary64) (/.f64 y x))
(* 2 (/ y x))
(*.f64 #s(literal 2 binary64) (/.f64 y x))
(* 2 (/ y x))
(*.f64 #s(literal 2 binary64) (/.f64 y x))
(* 2 (/ y x))
(*.f64 #s(literal 2 binary64) (/.f64 y x))
(* 2 (/ y x))
(*.f64 #s(literal 2 binary64) (/.f64 y x))
(* 2 (/ y x))
(*.f64 #s(literal 2 binary64) (/.f64 y x))
(* 2 (/ y x))
(*.f64 #s(literal 2 binary64) (/.f64 y x))
(* 2 (/ y x))
(*.f64 #s(literal 2 binary64) (/.f64 y x))
(* 2 (/ y x))
(*.f64 #s(literal 2 binary64) (/.f64 y x))
(* 2 (/ y x))
(*.f64 #s(literal 2 binary64) (/.f64 y x))
(* 2 (/ y x))
(*.f64 #s(literal 2 binary64) (/.f64 y x))
(* 2 y)
(*.f64 #s(literal 2 binary64) y)
(* 2 y)
(*.f64 #s(literal 2 binary64) y)
(* 2 y)
(*.f64 #s(literal 2 binary64) y)
(* 2 y)
(*.f64 #s(literal 2 binary64) y)
(* 2 y)
(*.f64 #s(literal 2 binary64) y)
(* 2 y)
(*.f64 #s(literal 2 binary64) y)
(* 2 y)
(*.f64 #s(literal 2 binary64) y)
(* 2 y)
(*.f64 #s(literal 2 binary64) y)
(* 2 y)
(*.f64 #s(literal 2 binary64) y)
(* 2 y)
(*.f64 #s(literal 2 binary64) y)
(* 2 y)
(*.f64 #s(literal 2 binary64) y)
(* 2 y)
(*.f64 #s(literal 2 binary64) y)
(/ -2 x)
(/.f64 #s(literal -2 binary64) x)
(/ -2 x)
(/.f64 #s(literal -2 binary64) x)
(/ -2 x)
(/.f64 #s(literal -2 binary64) x)
(/ -2 x)
(/.f64 #s(literal -2 binary64) x)
(/ -2 x)
(/.f64 #s(literal -2 binary64) x)
(/ -2 x)
(/.f64 #s(literal -2 binary64) x)
(/ -2 x)
(/.f64 #s(literal -2 binary64) x)
(/ -2 x)
(/.f64 #s(literal -2 binary64) x)
(/ -2 x)
(/.f64 #s(literal -2 binary64) x)
(/ -2 x)
(/.f64 #s(literal -2 binary64) x)
(/ -2 x)
(/.f64 #s(literal -2 binary64) x)
(/ -2 x)
(/.f64 #s(literal -2 binary64) x)

eval116.0ms (0.8%)

Memory
-11.1MiB live, 301.1MiB allocated
Compiler

Compiled 12 974 to 1 417 computations (89.1% saved)

prune78.0ms (0.5%)

Memory
30.2MiB live, 229.0MiB allocated
Pruning

15 alts after pruning (4 fresh and 11 done)

PrunedKeptTotal
New8924896
Fresh000
Picked134
Done189
Total89415909
Accuracy
100.0%
Counts
909 → 15
Alt Table
Click to see full alt table
StatusAccuracyProgram
11.0%
(/.f64 (/.f64 y #s(literal -1/2 binary64)) (*.f64 x y))
6.4%
(/.f64 (*.f64 y (/.f64 #s(literal -2 binary64) x)) y)
10.1%
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 x (/.f64 #s(literal -2 binary64) x)) x))
11.4%
(/.f64 #s(literal -2 binary64) x)
31.3%
(-.f64 (*.f64 (*.f64 y (*.f64 x y)) #s(literal 1/2 binary64)) y)
99.9%
(-.f64 x (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64)))))
56.0%
(-.f64 x (/.f64 #s(literal 2 binary64) x))
99.9%
(-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 2 binary64) y))) y)))
75.6%
(-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)))
99.9%
(-.f64 x (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x #s(literal 1/2 binary64)))))
56.0%
(-.f64 x (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 y x)) y))
75.7%
(-.f64 x y)
31.3%
(*.f64 y (+.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y #s(literal 1/2 binary64)))))
54.3%
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x))))
59.7%
x
Compiler

Compiled 326 to 174 computations (46.6% saved)

regimes22.0ms (0.2%)

Memory
-20.2MiB live, 58.2MiB allocated
Counts
21 → 1
Calls
Call 1
Inputs
x
(-.f64 x y)
(/.f64 #s(literal -2 binary64) x)
(-.f64 x (/.f64 #s(literal 2 binary64) x))
(-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)))
(/.f64 (*.f64 y (/.f64 #s(literal -2 binary64) x)) y)
(/.f64 (/.f64 y #s(literal -1/2 binary64)) (*.f64 x y))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x))))
(*.f64 y (+.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y #s(literal 1/2 binary64)))))
(-.f64 x (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 y x)) y))
(-.f64 x (/.f64 y (*.f64 #s(literal 1/2 binary64) (*.f64 y x))))
(-.f64 x (/.f64 (/.f64 (/.f64 y #s(literal 1/2 binary64)) x) y))
(-.f64 (*.f64 (*.f64 y (*.f64 x y)) #s(literal 1/2 binary64)) y)
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 x (/.f64 #s(literal -2 binary64) x)) x))
(-.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y x) #s(literal -1/2 binary64)))))
(-.f64 x (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 #s(literal -1/2 binary64) x))) y))
(-.f64 x (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x #s(literal 1/2 binary64)))))
(-.f64 x (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64)))))
(-.f64 x (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 2 binary64) y)))) y))
(-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 2 binary64) y))) y)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x (/.f64 y (-.f64 #s(literal -1 binary64) (/.f64 x (/.f64 #s(literal 2 binary64) y)))))))
Outputs
(-.f64 x (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64)))))
Calls

3 calls:

8.0ms
(-.f64 x (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64)))))
7.0ms
x
7.0ms
y
Results
AccuracySegmentsBranch
99.9%1x
99.9%1y
99.9%1(-.f64 x (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64)))))
Compiler

Compiled 19 to 13 computations (31.6% saved)

regimes13.0ms (0.1%)

Memory
-11.0MiB live, 29.9MiB allocated
Counts
17 → 1
Calls
Call 1
Inputs
x
(-.f64 x y)
(/.f64 #s(literal -2 binary64) x)
(-.f64 x (/.f64 #s(literal 2 binary64) x))
(-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)))
(/.f64 (*.f64 y (/.f64 #s(literal -2 binary64) x)) y)
(/.f64 (/.f64 y #s(literal -1/2 binary64)) (*.f64 x y))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x))))
(*.f64 y (+.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y #s(literal 1/2 binary64)))))
(-.f64 x (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 y x)) y))
(-.f64 x (/.f64 y (*.f64 #s(literal 1/2 binary64) (*.f64 y x))))
(-.f64 x (/.f64 (/.f64 (/.f64 y #s(literal 1/2 binary64)) x) y))
(-.f64 (*.f64 (*.f64 y (*.f64 x y)) #s(literal 1/2 binary64)) y)
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 x (/.f64 #s(literal -2 binary64) x)) x))
(-.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y x) #s(literal -1/2 binary64)))))
(-.f64 x (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 #s(literal -1/2 binary64) x))) y))
(-.f64 x (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x #s(literal 1/2 binary64)))))
Outputs
(-.f64 x (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x #s(literal 1/2 binary64)))))
Calls

2 calls:

5.0ms
y
5.0ms
x
Results
AccuracySegmentsBranch
99.9%1x
99.9%1y
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes11.0ms (0.1%)

Memory
24.9MiB live, 24.9MiB allocated
Counts
16 → 3
Calls
Call 1
Inputs
x
(-.f64 x y)
(/.f64 #s(literal -2 binary64) x)
(-.f64 x (/.f64 #s(literal 2 binary64) x))
(-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)))
(/.f64 (*.f64 y (/.f64 #s(literal -2 binary64) x)) y)
(/.f64 (/.f64 y #s(literal -1/2 binary64)) (*.f64 x y))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x))))
(*.f64 y (+.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y #s(literal 1/2 binary64)))))
(-.f64 x (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 y x)) y))
(-.f64 x (/.f64 y (*.f64 #s(literal 1/2 binary64) (*.f64 y x))))
(-.f64 x (/.f64 (/.f64 (/.f64 y #s(literal 1/2 binary64)) x) y))
(-.f64 (*.f64 (*.f64 y (*.f64 x y)) #s(literal 1/2 binary64)) y)
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 x (/.f64 #s(literal -2 binary64) x)) x))
(-.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y x) #s(literal -1/2 binary64)))))
(-.f64 x (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 #s(literal -1/2 binary64) x))) y))
Outputs
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x))))
(-.f64 x y)
(-.f64 x (/.f64 #s(literal 2 binary64) x))
Calls

2 calls:

5.0ms
x
5.0ms
y
Results
AccuracySegmentsBranch
89.8%3x
89.7%3y
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes4.0ms (0%)

Memory
8.0MiB live, 8.0MiB allocated
Counts
7 → 3
Calls
Call 1
Inputs
x
(-.f64 x y)
(/.f64 #s(literal -2 binary64) x)
(-.f64 x (/.f64 #s(literal 2 binary64) x))
(-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)))
(/.f64 (*.f64 y (/.f64 #s(literal -2 binary64) x)) y)
(/.f64 (/.f64 y #s(literal -1/2 binary64)) (*.f64 x y))
Outputs
(-.f64 x (/.f64 #s(literal 2 binary64) x))
(-.f64 x y)
(-.f64 x (/.f64 #s(literal 2 binary64) x))
Calls

1 calls:

3.0ms
x
Results
AccuracySegmentsBranch
89.8%3x
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes5.0ms (0%)

Memory
-26.9MiB live, 12.3MiB allocated
Counts
3 → 3
Calls
Call 1
Inputs
x
(-.f64 x y)
(/.f64 #s(literal -2 binary64) x)
Outputs
x
(-.f64 x y)
x
Calls

2 calls:

3.0ms
y
2.0ms
x
Results
AccuracySegmentsBranch
82.7%3y
88.7%3x
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes3.0ms (0%)

Memory
9.5MiB live, 9.5MiB allocated
Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts
1 → 1
Calls
Call 1
Inputs
x
Outputs
x
Calls

2 calls:

1.0ms
y
1.0ms
x
Results
AccuracySegmentsBranch
59.7%1y
59.7%1x
Compiler

Compiled 6 to 4 computations (33.3% saved)

bsearch23.0ms (0.2%)

Memory
18.9MiB live, 58.1MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
12.0ms
2.078798671163698e-27
2.1478210835059284e-20
8.0ms
-3.207643159932902e-24
-3.3489833443280163e-25
Samples
13.0ms240×0valid
Compiler

Compiled 250 to 182 computations (27.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 7.0ms
ival-div: 3.0ms (40.8% of total)
ival-mult: 2.0ms (27.2% of total)
ival-sub: 1.0ms (13.6% of total)
ival-add: 1.0ms (13.6% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch27.0ms (0.2%)

Memory
-24.3MiB live, 66.2MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
15.0ms
2.078798671163698e-27
2.1478210835059284e-20
9.0ms
-3.207643159932902e-24
-3.3489833443280163e-25
Samples
14.0ms240×0valid
Compiler

Compiled 226 to 164 computations (27.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 8.0ms
ival-div: 3.0ms (35.6% of total)
ival-add: 2.0ms (23.7% of total)
ival-mult: 2.0ms (23.7% of total)
ival-sub: 1.0ms (11.9% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch27.0ms (0.2%)

Memory
12.9MiB live, 91.2MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
10.0ms
1.4056116744553517e-5
0.003453415828511095
14.0ms
-58889762147516150.0
-5916.232031393873
Samples
14.0ms272×0valid
Compiler

Compiled 186 to 133 computations (28.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 9.0ms
ival-div: 4.0ms (47% of total)
ival-mult: 2.0ms (23.5% of total)
ival-sub: 1.0ms (11.8% of total)
ival-add: 1.0ms (11.8% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

simplify16.0ms (0.1%)

Memory
5.7MiB live, 44.7MiB allocated
Algorithm
egg-herbie
Rules
76×unsub-neg_binary64
72×neg-mul-1_binary64
46×*-commutative_binary64
42×+-commutative_binary64
36×sub-neg_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04178
16478
28878
311378
415278
521178
629978
732078
832378
Stop Event
saturated
Calls
Call 1
Inputs
(-.f64 x (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64)))))
(-.f64 x (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x #s(literal 1/2 binary64)))))
(if (<=.f64 x #s(literal -110591769249305/42535295865117307932921825928971026432 binary64)) (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x)))) (if (<=.f64 x #s(literal 7826494439181585/170141183460469231731687303715884105728 binary64)) (-.f64 x y) (-.f64 x (/.f64 #s(literal 2 binary64) x))))
(if (<=.f64 x #s(literal -6097860015223217/10889035741470030830827987437816582766592 binary64)) (-.f64 x (/.f64 #s(literal 2 binary64) x)) (if (<=.f64 x #s(literal 2395587863123407/21778071482940061661655974875633165533184 binary64)) (-.f64 x y) (-.f64 x (/.f64 #s(literal 2 binary64) x))))
(if (<=.f64 x #s(literal -6000 binary64)) x (if (<=.f64 x #s(literal 7839866231326559/2305843009213693952 binary64)) (-.f64 x y) x))
x
Outputs
(-.f64 x (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64)))))
(+.f64 x (/.f64 y (-.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64)))))
(-.f64 x (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x #s(literal 1/2 binary64)))))
(+.f64 x (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 x #s(literal 1/2 binary64)))))
(if (<=.f64 x #s(literal -110591769249305/42535295865117307932921825928971026432 binary64)) (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x)))) (if (<=.f64 x #s(literal 7826494439181585/170141183460469231731687303715884105728 binary64)) (-.f64 x y) (-.f64 x (/.f64 #s(literal 2 binary64) x))))
(if (<=.f64 x #s(literal -6097860015223217/10889035741470030830827987437816582766592 binary64)) (-.f64 x (/.f64 #s(literal 2 binary64) x)) (if (<=.f64 x #s(literal 2395587863123407/21778071482940061661655974875633165533184 binary64)) (-.f64 x y) (-.f64 x (/.f64 #s(literal 2 binary64) x))))
(if (<=.f64 x #s(literal -6000 binary64)) x (if (<=.f64 x #s(literal 7839866231326559/2305843009213693952 binary64)) (-.f64 x y) x))
x

soundness649.0ms (4.5%)

Memory
-22.1MiB live, 483.9MiB allocated
Rules
13 558×accelerator-lowering-fma.f32
13 558×accelerator-lowering-fma.f64
12 342×accelerator-lowering-fma.f32
12 342×accelerator-lowering-fma.f64
5 754×accelerator-lowering-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0935
15835
249535
3687635
0853032
03052818
19842756
225422460
083142364
02311053
17381018
21941987
36067981
08421934
Stop Event
fuel
iter limit
node limit
iter limit
node limit
iter limit
node limit
Compiler

Compiled 158 to 92 computations (41.8% saved)

preprocess189.0ms (1.3%)

Memory
31.3MiB live, 148.6MiB allocated
Compiler

Compiled 194 to 102 computations (47.4% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

Loading profile data...