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

Time bar (total: 10.7s)

analyze17.0ms (0.2%)

Memory
26.7MiB live, 26.7MiB allocated
Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
0%0%99.9%0.1%0%0%0%1
0%0%99.9%0.1%0%0%0%2
25%25%74.9%0.1%0%0%0%3
37.5%37.5%62.4%0.1%0%0%0%4
56.3%56.2%43.7%0.1%0%0%0%5
65.6%65.6%34.3%0.1%0%0%0%6
79.7%79.6%20.3%0.1%0%0%0%7
83.6%83.5%16.4%0.1%0%0%0%8
90.2%90.1%9.8%0.1%0%0%0%9
92%91.9%8%0.1%0%0%0%10
95.2%95.1%4.8%0.1%0%0%0%11
96%96%4%0.1%0%0%0%12
Compiler

Compiled 11 to 9 computations (18.2% saved)

sample1.1s (10.2%)

Memory
-17.7MiB live, 1 012.2MiB allocated
Samples
537.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 347.0ms
ival-div: 163.0ms (46.9% of total)
ival-sub: 131.0ms (37.7% of total)
ival-add: 40.0ms (11.5% of total)
ival-true: 5.0ms (1.4% of total)
exact: 5.0ms (1.4% of total)
ival-assert: 3.0ms (0.9% of total)
Bogosity

preprocess113.0ms (1.1%)

Memory
2.1MiB live, 86.4MiB allocated
Algorithm
1×egg-herbie
Rules
464×lower-fma.f64
464×lower-fma.f32
312×unsub-neg
260×div-sub
226×distribute-rgt-in
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01951
16647
216846
349445
4109545
5163245
6188545
7199145
8204945
9206245
079
0119
1219
2389
3799
41869
53469
66169
79049
89489
99649
109659
09659
Stop Event
1×iter limit
1×saturated
1×iter limit
1×saturated
Calls
Call 1
Inputs
(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y)))
Outputs
(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y)))

explain248.0ms (2.3%)

Memory
17.7MiB live, 135.0MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-#s(literal 2 binary64)
00-0-y
00-0-(-.f64 x y)
00-0-(+.f64 x y)
00-0-(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y)))
00-0-(-.f64 #s(literal 2 binary64) (+.f64 x y))
00-0-x
Confusion
Predicted +Predicted -
+00
-0256
Precision
0/0
Recall
0/0
Confusion?
Predicted +Predicted MaybePredicted -
+000
-00256
Precision?
0/0
Recall?
0/0
Freqs
test
numberfreq
0256
Total Confusion?
Predicted +Predicted MaybePredicted -
+000
-001
Precision?
0/0
Recall?
0/0
Samples
187.0ms510×0valid
0.0ms2×1valid
Compiler

Compiled 72 to 32 computations (55.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 12.0ms
ival-sub: 5.0ms (41.2% of total)
ival-div: 4.0ms (33% of total)
ival-add: 3.0ms (24.7% of total)
adjust: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

eval0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Compiler

Compiled 2 to 2 computations (0% saved)

prune1.0ms (0%)

Memory
1.2MiB live, 1.2MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶100.0%
(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y)))
Compiler

Compiled 11 to 7 computations (36.4% saved)

simplify253.0ms (2.4%)

Memory
-0.2MiB live, 40.9MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(+.f64 x y)
✓cost-diff0
(-.f64 #s(literal 2 binary64) (+.f64 x y))
✓cost-diff0
(-.f64 x y)
✓cost-diff0
(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y)))
Rules
464×lower-fma.f64
464×lower-fma.f32
224×lower-*.f64
224×lower-*.f32
152×lower-+.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0723
01123
12123
23823
37923
418623
534623
661623
790423
894823
996423
1096523
096523
Stop Event
1×iter limit
1×saturated
1×iter limit
Calls
Call 1
Inputs
(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y)))
(-.f64 x y)
x
y
(-.f64 #s(literal 2 binary64) (+.f64 x y))
#s(literal 2 binary64)
(+.f64 x y)
Outputs
(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y)))
(-.f64 x y)
x
y
(-.f64 #s(literal 2 binary64) (+.f64 x y))
#s(literal 2 binary64)
(+.f64 x y)

localize239.0ms (2.2%)

Memory
-1.6MiB live, 36.6MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(-.f64 x y)
✓accuracy100.0%
(+.f64 x y)
✓accuracy100.0%
(-.f64 #s(literal 2 binary64) (+.f64 x y))
✓accuracy100.0%
(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y)))
Samples
231.0ms255×0valid
0.0ms1×1valid
Compiler

Compiled 25 to 9 computations (64% saved)

Precisions
Click to see histograms. Total time spent on operations: 224.0ms
ival-div: 220.0ms (98% of total)
ival-sub: 3.0ms (1.3% of total)
ival-add: 1.0ms (0.4% of total)
adjust: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series6.0ms (0.1%)

Memory
12.6MiB live, 12.6MiB allocated
Counts
4 → 96
Calls
Call 1
Inputs
#<alt (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y)))>
#<alt (-.f64 x y)>
#<alt (-.f64 #s(literal 2 binary64) (+.f64 x y))>
#<alt (+.f64 x y)>
Outputs
#<alt (* -1 (/ y (- 2 y)))>
#<alt (+ (* -1 (/ y (- 2 y))) (* x (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2)))))>
#<alt (+ (* -1 (/ y (- 2 y))) (* x (- (+ (/ 1 (- 2 y)) (/ (* x (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2)))) (- 2 y))) (/ y (pow (- 2 y) 2)))))>
#<alt (+ (* -1 (/ y (- 2 y))) (* x (- (+ (* x (- (/ (* x (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2)))) (pow (- 2 y) 2)) (* -1 (/ (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2))) (- 2 y))))) (/ 1 (- 2 y))) (/ y (pow (- 2 y) 2)))))>
#<alt -1>
#<alt (- (* 2 (/ y x)) (+ 1 (* 2 (/ 1 x))))>
#<alt (- (+ (* 2 (/ y x)) (/ (* (- 2 y) (- (* 2 y) 2)) (pow x 2))) (+ 1 (* 2 (/ 1 x))))>
#<alt (- (+ (* 2 (/ y x)) (/ (* (pow (- 2 y) 2) (- (* 2 y) 2)) (pow x 3))) (+ 1 (+ (* -1 (/ (* (- 2 y) (- (* 2 y) 2)) (pow x 2))) (* 2 (/ 1 x)))))>
#<alt -1>
#<alt (- (* 2 (/ y x)) (+ 1 (* 2 (/ 1 x))))>
#<alt (- (* -1 (/ (+ (* -1 (- (* 2 y) 2)) (* -1 (/ (* (- 2 y) (- (* 2 y) 2)) x))) x)) 1)>
#<alt (- (* -1 (/ (+ (* -1 (- (* 2 y) 2)) (* -1 (/ (+ (* (- 2 y) (- (* 2 y) 2)) (/ (* (pow (- 2 y) 2) (- (* 2 y) 2)) x)) x))) x)) 1)>
#<alt (/ x (- 2 x))>
#<alt (+ (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x)))>
#<alt (+ (* y (- (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 3))) (/ 1 (pow (- 2 x) 2))))) (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x)))>
#<alt (+ (* y (- (* y (- (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 4))) (/ 1 (pow (- 2 x) 3))))) (+ (* -1 (/ x (pow (- 2 x) 3))) (/ 1 (pow (- 2 x) 2))))) (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x)))>
#<alt 1>
#<alt (- (+ 1 (* -1 (/ x y))) (* -1 (/ (- 2 x) y)))>
#<alt (- (+ 1 (+ (* -1 (/ x y)) (/ (* (- 2 x) (- (* -1 x) (* -1 (- 2 x)))) (pow y 2)))) (* -1 (/ (- 2 x) y)))>
#<alt (- (+ 1 (+ (* -1 (/ x y)) (/ (* (pow (- 2 x) 2) (- (* -1 x) (* -1 (- 2 x)))) (pow y 3)))) (+ (* -1 (/ (* (- 2 x) (- (* -1 x) (* -1 (- 2 x)))) (pow y 2))) (* -1 (/ (- 2 x) y))))>
#<alt 1>
#<alt (+ 1 (* -1 (/ (- (* 2 x) 2) y)))>
#<alt (+ 1 (* -1 (/ (- (+ (* 2 x) (/ (* (- 2 x) (- (* 2 x) 2)) y)) 2) y)))>
#<alt (+ 1 (* -1 (/ (- (+ (* -1 (/ (- (* -1 (/ (* (pow (- 2 x) 2) (- (* 2 x) 2)) y)) (* (- 2 x) (- (* 2 x) 2))) y)) (* 2 x)) 2) y)))>
#<alt (* -1 y)>
#<alt (- x y)>
#<alt (- x y)>
#<alt (- x y)>
#<alt x>
#<alt (* x (+ 1 (* -1 (/ y x))))>
#<alt (* x (+ 1 (* -1 (/ y x))))>
#<alt (* x (+ 1 (* -1 (/ y x))))>
#<alt x>
#<alt (* -1 (* x (- (/ y x) 1)))>
#<alt (* -1 (* x (- (/ y x) 1)))>
#<alt (* -1 (* x (- (/ y x) 1)))>
#<alt x>
#<alt (+ x (* -1 y))>
#<alt (+ x (* -1 y))>
#<alt (+ x (* -1 y))>
#<alt (* -1 y)>
#<alt (* y (- (/ x y) 1))>
#<alt (* y (- (/ x y) 1))>
#<alt (* y (- (/ x y) 1))>
#<alt (* -1 y)>
#<alt (* -1 (* y (+ 1 (* -1 (/ x y)))))>
#<alt (* -1 (* y (+ 1 (* -1 (/ x y)))))>
#<alt (* -1 (* y (+ 1 (* -1 (/ x y)))))>
#<alt (- 2 y)>
#<alt (- (+ 2 (* -1 x)) y)>
#<alt (- (+ 2 (* -1 x)) y)>
#<alt (- (+ 2 (* -1 x)) y)>
#<alt (* -1 x)>
#<alt (* x (- (* 2 (/ 1 x)) (+ 1 (/ y x))))>
#<alt (* x (- (* 2 (/ 1 x)) (+ 1 (/ y x))))>
#<alt (* x (- (* 2 (/ 1 x)) (+ 1 (/ y x))))>
#<alt (* -1 x)>
#<alt (* -1 (* x (+ 1 (* -1 (/ (- 2 y) x)))))>
#<alt (* -1 (* x (+ 1 (* -1 (/ (- 2 y) x)))))>
#<alt (* -1 (* x (+ 1 (* -1 (/ (- 2 y) x)))))>
#<alt (- 2 x)>
#<alt (- (+ 2 (* -1 y)) x)>
#<alt (- (+ 2 (* -1 y)) x)>
#<alt (- (+ 2 (* -1 y)) x)>
#<alt (* -1 y)>
#<alt (* y (- (* 2 (/ 1 y)) (+ 1 (/ x y))))>
#<alt (* y (- (* 2 (/ 1 y)) (+ 1 (/ x y))))>
#<alt (* y (- (* 2 (/ 1 y)) (+ 1 (/ x y))))>
#<alt (* -1 y)>
#<alt (* -1 (* y (+ 1 (* -1 (/ (- 2 x) y)))))>
#<alt (* -1 (* y (+ 1 (* -1 (/ (- 2 x) y)))))>
#<alt (* -1 (* y (+ 1 (* -1 (/ (- 2 x) y)))))>
#<alt y>
#<alt (+ x y)>
#<alt (+ x y)>
#<alt (+ x y)>
#<alt x>
#<alt (* x (+ 1 (/ y x)))>
#<alt (* x (+ 1 (/ y x)))>
#<alt (* x (+ 1 (/ y x)))>
#<alt x>
#<alt (* -1 (* x (- (* -1 (/ y x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ y x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ y x)) 1)))>
#<alt x>
#<alt (+ x y)>
#<alt (+ x y)>
#<alt (+ x y)>
#<alt y>
#<alt (* y (+ 1 (/ x y)))>
#<alt (* y (+ 1 (/ x y)))>
#<alt (* y (+ 1 (/ x y)))>
#<alt y>
#<alt (* -1 (* y (- (* -1 (/ x y)) 1)))>
#<alt (* -1 (* y (- (* -1 (/ x y)) 1)))>
#<alt (* -1 (* y (- (* -1 (/ x y)) 1)))>
Calls

24 calls:

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

rewrite1.0s (9.7%)

Memory
-37.5MiB live, 527.1MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
4 750×lower-fma.f64
4 750×lower-fma.f32
4 670×lower-*.f64
4 670×lower-*.f32
4 200×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0720
01120
16020
252520
3775220
0847420
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
4 → 607
Calls
Call 1
Inputs
(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y)))
(-.f64 x y)
(-.f64 #s(literal 2 binary64) (+.f64 x y))
(+.f64 x y)
Outputs
(+.f64 (/.f64 x (-.f64 #s(literal 2 binary64) (+.f64 x y))) (/.f64 y (+.f64 (+.f64 x y) #s(literal -2 binary64))))
(+.f64 (/.f64 x (-.f64 #s(literal 2 binary64) (+.f64 x y))) (*.f64 #s(literal 1 binary64) (/.f64 y (+.f64 (+.f64 x y) #s(literal -2 binary64)))))
(+.f64 (/.f64 x (-.f64 #s(literal 2 binary64) (+.f64 x y))) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (+.f64 x y))) (neg.f64 y)))
(+.f64 (/.f64 y (+.f64 (+.f64 x y) #s(literal -2 binary64))) (/.f64 x (-.f64 #s(literal 2 binary64) (+.f64 x y))))
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (+.f64 x y))) (neg.f64 y)) (/.f64 x (-.f64 #s(literal 2 binary64) (+.f64 x y))))
(+.f64 (*.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 8 binary64) (*.f64 (+.f64 x y) (*.f64 (+.f64 x y) (+.f64 x y))))) #s(literal 4 binary64)) (*.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 8 binary64) (*.f64 (+.f64 x y) (*.f64 (+.f64 x y) (+.f64 x y))))) (*.f64 (+.f64 x y) (+.f64 #s(literal 2 binary64) (+.f64 x y)))))
(+.f64 (*.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 8 binary64) (*.f64 (+.f64 x y) (*.f64 (+.f64 x y) (+.f64 x y))))) (*.f64 (+.f64 x y) (+.f64 #s(literal 2 binary64) (+.f64 x y)))) (*.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 8 binary64) (*.f64 (+.f64 x y) (*.f64 (+.f64 x y) (+.f64 x y))))) #s(literal 4 binary64)))
(+.f64 (*.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 8 binary64) (*.f64 (+.f64 x y) (*.f64 (+.f64 x y) (+.f64 x y))))) (fma.f64 (+.f64 x y) (+.f64 x y) #s(literal 4 binary64))) (*.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 8 binary64) (*.f64 (+.f64 x y) (*.f64 (+.f64 x y) (+.f64 x y))))) (*.f64 #s(literal 2 binary64) (+.f64 x y))))
(+.f64 (*.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 4 binary64) (*.f64 (+.f64 x y) (+.f64 x y)))) #s(literal 2 binary64)) (*.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 4 binary64) (*.f64 (+.f64 x y) (+.f64 x y)))) (+.f64 x y)))
(+.f64 (*.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 4 binary64) (*.f64 (+.f64 x y) (+.f64 x y)))) (+.f64 x y)) (*.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 4 binary64) (*.f64 (+.f64 x y) (+.f64 x y)))) #s(literal 2 binary64)))
(+.f64 (*.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 4 binary64) (*.f64 (+.f64 x y) (+.f64 x y)))) (+.f64 x #s(literal 2 binary64))) (*.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 4 binary64) (*.f64 (+.f64 x y) (+.f64 x y)))) y))
(+.f64 (*.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 4 binary64) (*.f64 (+.f64 x y) (+.f64 x y)))) (+.f64 y #s(literal 2 binary64))) (*.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 4 binary64) (*.f64 (+.f64 x y) (+.f64 x y)))) x))
(+.f64 (*.f64 (/.f64 x (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal 1 binary64)) (*.f64 (/.f64 y (+.f64 (+.f64 x y) #s(literal -2 binary64))) #s(literal 1 binary64)))
(+.f64 (*.f64 #s(literal 4 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 8 binary64) (*.f64 (+.f64 x y) (*.f64 (+.f64 x y) (+.f64 x y)))))) (*.f64 (*.f64 (+.f64 x y) (+.f64 #s(literal 2 binary64) (+.f64 x y))) (/.f64 (-.f64 x y) (-.f64 #s(literal 8 binary64) (*.f64 (+.f64 x y) (*.f64 (+.f64 x y) (+.f64 x y)))))))
(+.f64 (*.f64 (*.f64 (+.f64 x y) (+.f64 #s(literal 2 binary64) (+.f64 x y))) (/.f64 (-.f64 x y) (-.f64 #s(literal 8 binary64) (*.f64 (+.f64 x y) (*.f64 (+.f64 x y) (+.f64 x y)))))) (*.f64 #s(literal 4 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 8 binary64) (*.f64 (+.f64 x y) (*.f64 (+.f64 x y) (+.f64 x y)))))))
(+.f64 (*.f64 (fma.f64 (+.f64 x y) (+.f64 x y) #s(literal 4 binary64)) (/.f64 (-.f64 x y) (-.f64 #s(literal 8 binary64) (*.f64 (+.f64 x y) (*.f64 (+.f64 x y) (+.f64 x y)))))) (*.f64 (*.f64 #s(literal 2 binary64) (+.f64 x y)) (/.f64 (-.f64 x y) (-.f64 #s(literal 8 binary64) (*.f64 (+.f64 x y) (*.f64 (+.f64 x y) (+.f64 x y)))))))
(+.f64 (*.f64 #s(literal 2 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 4 binary64) (*.f64 (+.f64 x y) (+.f64 x y))))) (*.f64 (+.f64 x y) (/.f64 (-.f64 x y) (-.f64 #s(literal 4 binary64) (*.f64 (+.f64 x y) (+.f64 x y))))))
(+.f64 (*.f64 (+.f64 x y) (/.f64 (-.f64 x y) (-.f64 #s(literal 4 binary64) (*.f64 (+.f64 x y) (+.f64 x y))))) (*.f64 #s(literal 2 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 4 binary64) (*.f64 (+.f64 x y) (+.f64 x y))))))
(+.f64 (*.f64 (+.f64 x #s(literal 2 binary64)) (/.f64 (-.f64 x y) (-.f64 #s(literal 4 binary64) (*.f64 (+.f64 x y) (+.f64 x y))))) (*.f64 y (/.f64 (-.f64 x y) (-.f64 #s(literal 4 binary64) (*.f64 (+.f64 x y) (+.f64 x y))))))
(+.f64 (*.f64 (+.f64 y #s(literal 2 binary64)) (/.f64 (-.f64 x y) (-.f64 #s(literal 4 binary64) (*.f64 (+.f64 x y) (+.f64 x y))))) (*.f64 x (/.f64 (-.f64 x y) (-.f64 #s(literal 4 binary64) (*.f64 (+.f64 x y) (+.f64 x y))))))
(exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 #s(literal 2 binary64) (+.f64 x y)) (-.f64 x y))) #s(literal -1 binary64)))
(-.f64 (/.f64 x (-.f64 #s(literal 2 binary64) (+.f64 x y))) (/.f64 y (-.f64 #s(literal 2 binary64) (+.f64 x y))))
(-.f64 #s(literal 0 binary64) (/.f64 (-.f64 x y) (+.f64 (+.f64 x y) #s(literal -2 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 (+.f64 x y) #s(literal -2 binary64))) (/.f64 (-.f64 x y) (+.f64 (+.f64 x y) #s(literal -2 binary64))))
(-.f64 (/.f64 (/.f64 (*.f64 x (*.f64 x x)) (fma.f64 x (+.f64 x y) (*.f64 y y))) (-.f64 #s(literal 2 binary64) (+.f64 x y))) (/.f64 (/.f64 (*.f64 y (*.f64 y y)) (fma.f64 x (+.f64 x y) (*.f64 y y))) (-.f64 #s(literal 2 binary64) (+.f64 x y))))
(-.f64 (/.f64 (/.f64 (*.f64 x x) (+.f64 x y)) (-.f64 #s(literal 2 binary64) (+.f64 x y))) (/.f64 (/.f64 (*.f64 y y) (+.f64 x y)) (-.f64 #s(literal 2 binary64) (+.f64 x y))))
(-.f64 (/.f64 (*.f64 x (*.f64 x x)) (*.f64 (-.f64 #s(literal 2 binary64) (+.f64 x y)) (fma.f64 x (+.f64 x y) (*.f64 y y)))) (/.f64 (*.f64 y (*.f64 y y)) (*.f64 (-.f64 #s(literal 2 binary64) (+.f64 x y)) (fma.f64 x (+.f64 x y) (*.f64 y y)))))
(-.f64 (/.f64 (*.f64 x x) (*.f64 (+.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y)))) (/.f64 (*.f64 y y) (*.f64 (+.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y)))))
(-.f64 (/.f64 (*.f64 x (-.f64 #s(literal 2 binary64) (+.f64 x y))) (*.f64 (-.f64 #s(literal 2 binary64) (+.f64 x y)) (-.f64 #s(literal 2 binary64) (+.f64 x y)))) (/.f64 (*.f64 y (-.f64 #s(literal 2 binary64) (+.f64 x y))) (*.f64 (-.f64 #s(literal 2 binary64) (+.f64 x y)) (-.f64 #s(literal 2 binary64) (+.f64 x y)))))
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(fma.f64 (fma.f64 x x (*.f64 y y)) (*.f64 (/.f64 (+.f64 x y) (fma.f64 x (+.f64 x y) (*.f64 y y))) #s(literal 1 binary64)) (*.f64 (*.f64 x y) (*.f64 (/.f64 (+.f64 x y) (fma.f64 x (+.f64 x y) (*.f64 y y))) #s(literal 1 binary64))))
(fma.f64 (*.f64 (/.f64 (+.f64 x y) (fma.f64 x (+.f64 x y) (*.f64 y y))) #s(literal 1 binary64)) (*.f64 x x) (*.f64 (*.f64 (/.f64 (+.f64 x y) (fma.f64 x (+.f64 x y) (*.f64 y y))) #s(literal 1 binary64)) (*.f64 y (+.f64 x y))))
(fma.f64 (*.f64 (/.f64 (+.f64 x y) (fma.f64 x (+.f64 x y) (*.f64 y y))) #s(literal 1 binary64)) (*.f64 y (+.f64 x y)) (*.f64 (*.f64 (/.f64 (+.f64 x y) (fma.f64 x (+.f64 x y) (*.f64 y y))) #s(literal 1 binary64)) (*.f64 x x)))
(fma.f64 (*.f64 (/.f64 (+.f64 x y) (fma.f64 x (+.f64 x y) (*.f64 y y))) #s(literal 1 binary64)) (fma.f64 x x (*.f64 y y)) (*.f64 (*.f64 (/.f64 (+.f64 x y) (fma.f64 x (+.f64 x y) (*.f64 y y))) #s(literal 1 binary64)) (*.f64 x y)))
(fma.f64 (/.f64 x #s(literal 1 binary64)) (/.f64 x (-.f64 x y)) (neg.f64 (*.f64 y (/.f64 y (-.f64 x y)))))
(fma.f64 (/.f64 x (*.f64 (-.f64 x y) (fma.f64 x (+.f64 x y) (*.f64 y y)))) (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x y) (*.f64 y y)))) (neg.f64 (*.f64 y (/.f64 y (-.f64 x y)))))
(fma.f64 (/.f64 (*.f64 x x) (*.f64 (-.f64 x y) (fma.f64 x (+.f64 x y) (*.f64 y y)))) (fma.f64 x (+.f64 x y) (*.f64 y y)) (neg.f64 (*.f64 y (/.f64 y (-.f64 x y)))))
(fma.f64 (/.f64 (*.f64 x x) (*.f64 (-.f64 x y) (fma.f64 x (+.f64 x y) (*.f64 y y)))) (fma.f64 x x (*.f64 (neg.f64 y) (-.f64 (neg.f64 y) x))) (neg.f64 (*.f64 y (/.f64 y (-.f64 x y)))))
(fma.f64 (/.f64 x (*.f64 (-.f64 x y) (+.f64 x y))) (*.f64 x (+.f64 x y)) (neg.f64 (*.f64 y (/.f64 y (-.f64 x y)))))
(fma.f64 (/.f64 (*.f64 x x) (*.f64 (-.f64 x y) (+.f64 x y))) (+.f64 x y) (neg.f64 (*.f64 y (/.f64 y (-.f64 x y)))))
(fma.f64 (/.f64 x (/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))))) (/.f64 x (fma.f64 x (-.f64 x y) (*.f64 y y))) (neg.f64 (*.f64 y (/.f64 y (-.f64 x y)))))
(fma.f64 (/.f64 (*.f64 x x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 x y)) (neg.f64 (*.f64 y (/.f64 y (-.f64 x y)))))
(fma.f64 (/.f64 (*.f64 x x) (*.f64 (+.f64 x y) (-.f64 y x))) (-.f64 (neg.f64 y) x) (neg.f64 (*.f64 y (/.f64 y (-.f64 x y)))))
(fma.f64 (/.f64 (*.f64 x x) (*.f64 (fma.f64 x (+.f64 x y) (*.f64 y y)) (-.f64 y x))) (neg.f64 (fma.f64 x (+.f64 x y) (*.f64 y y))) (neg.f64 (*.f64 y (/.f64 y (-.f64 x y)))))
(neg.f64 (-.f64 (neg.f64 y) x))
(/.f64 (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))) (fma.f64 x (-.f64 x y) (*.f64 y y)))
(/.f64 (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))) (neg.f64 (neg.f64 (fma.f64 x (-.f64 x y) (*.f64 y y)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x y)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x y)) #s(literal 1 binary64)))
(/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (-.f64 x y))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 x y))))
(/.f64 (neg.f64 (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y)))) (neg.f64 (fma.f64 x (-.f64 x y) (*.f64 y y))))
(/.f64 (*.f64 (+.f64 x y) (-.f64 y x)) (-.f64 y x))
(/.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))))) (*.f64 (fma.f64 x (-.f64 x y) (*.f64 y y)) (fma.f64 (*.f64 y (*.f64 y y)) (-.f64 (*.f64 y (*.f64 y y)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))))
(/.f64 (*.f64 (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))) (*.f64 (-.f64 x y) (fma.f64 x (+.f64 x y) (*.f64 y y)))) (*.f64 (fma.f64 x (-.f64 x y) (*.f64 y y)) (*.f64 (-.f64 x y) (fma.f64 x (+.f64 x y) (*.f64 y y)))))
(/.f64 (*.f64 (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))) (*.f64 (-.f64 x y) (fma.f64 x (+.f64 x y) (*.f64 y y)))) (*.f64 (-.f64 x y) (fma.f64 (*.f64 y y) (fma.f64 x x (*.f64 y y)) (*.f64 x (*.f64 x (*.f64 x x))))))
(/.f64 (*.f64 (fma.f64 x x (*.f64 y y)) (*.f64 (-.f64 x y) (+.f64 x y))) (*.f64 (-.f64 x y) (fma.f64 x x (*.f64 y y))))
(/.f64 (*.f64 (*.f64 (+.f64 x y) (+.f64 x y)) (-.f64 x y)) (*.f64 (-.f64 x y) (+.f64 x y)))
(/.f64 (*.f64 (/.f64 (+.f64 x y) (fma.f64 x (+.f64 x y) (*.f64 y y))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x y) (*.f64 y y))))
(/.f64 (-.f64 (*.f64 (*.f64 x x) (-.f64 x y)) (*.f64 (-.f64 x y) (*.f64 y y))) (*.f64 (-.f64 x y) (-.f64 x y)))
(/.f64 (neg.f64 (*.f64 (+.f64 x y) (-.f64 y x))) (-.f64 x y))
(/.f64 (neg.f64 (neg.f64 (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))))) (fma.f64 x (-.f64 x y) (*.f64 y y)))
(/.f64 (neg.f64 (neg.f64 (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))))) (neg.f64 (neg.f64 (fma.f64 x (-.f64 x y) (*.f64 y y)))))
(/.f64 (/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))))) (fma.f64 x (-.f64 x y) (*.f64 y y)))
(/.f64 (-.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y (neg.f64 y)))) (fma.f64 x (-.f64 x y) (*.f64 y y)))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 x x) (-.f64 x y)) #s(literal 3 binary64)) (pow.f64 (*.f64 y (/.f64 y (-.f64 x y))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 x x) (-.f64 x y)) (/.f64 (*.f64 x x) (-.f64 x y)) (fma.f64 (*.f64 y (/.f64 y (-.f64 x y))) (*.f64 y (/.f64 y (-.f64 x y))) (*.f64 (/.f64 (*.f64 x x) (-.f64 x y)) (*.f64 y (/.f64 y (-.f64 x y)))))))
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 x x) (-.f64 x y)) (/.f64 (*.f64 x x) (-.f64 x y))) (*.f64 (*.f64 y (/.f64 y (-.f64 x y))) (*.f64 y (/.f64 y (-.f64 x y))))) (fma.f64 x (/.f64 x (-.f64 x y)) (*.f64 y (/.f64 y (-.f64 x y)))))
(/.f64 (*.f64 (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))) #s(literal 1 binary64)) (fma.f64 x (-.f64 x y) (*.f64 y y)))
(/.f64 (*.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y)))) (fma.f64 x (-.f64 x y) (*.f64 y y)))
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (+.f64 x y) (-.f64 y x))) (-.f64 y x))
(/.f64 (*.f64 (*.f64 (/.f64 (+.f64 x y) (fma.f64 x (+.f64 x y) (*.f64 y y))) #s(literal 1 binary64)) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (+.f64 x y) (*.f64 (+.f64 x y) (+.f64 x y)))))) (fma.f64 x (*.f64 x (*.f64 x x)) (*.f64 (*.f64 y (+.f64 x y)) (-.f64 (*.f64 y (+.f64 x y)) (*.f64 x x)))))
(/.f64 (*.f64 (*.f64 (/.f64 (+.f64 x y) (fma.f64 x (+.f64 x y) (*.f64 y y))) #s(literal 1 binary64)) (*.f64 (fma.f64 x (+.f64 x y) (*.f64 y y)) (-.f64 (*.f64 x x) (*.f64 y (+.f64 x y))))) (-.f64 (*.f64 x x) (*.f64 y (+.f64 x y))))
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))))) (neg.f64 (fma.f64 x (-.f64 x y) (*.f64 y y))))
(/.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))))) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x y) (*.f64 y y)))) (fma.f64 (*.f64 y (*.f64 y y)) (-.f64 (*.f64 y (*.f64 y y)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))))
(/.f64 (*.f64 (*.f64 (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))) (*.f64 (-.f64 x y) (fma.f64 x (+.f64 x y) (*.f64 y y)))) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x y) (*.f64 y y)))) (*.f64 (-.f64 x y) (fma.f64 x (+.f64 x y) (*.f64 y y))))
(/.f64 (*.f64 (*.f64 (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))) (*.f64 (-.f64 x y) (fma.f64 x (+.f64 x y) (*.f64 y y)))) (/.f64 #s(literal 1 binary64) (-.f64 x y))) (fma.f64 (*.f64 y y) (fma.f64 x x (*.f64 y y)) (*.f64 x (*.f64 x (*.f64 x x)))))
(/.f64 (*.f64 (*.f64 (fma.f64 x x (*.f64 y y)) (*.f64 (-.f64 x y) (+.f64 x y))) (/.f64 #s(literal 1 binary64) (-.f64 x y))) (fma.f64 x x (*.f64 y y)))
(/.f64 (*.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (fma.f64 x (+.f64 x y) (*.f64 y y))) (*.f64 (-.f64 x y) (fma.f64 x (+.f64 x y) (*.f64 y y))))
(/.f64 (/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) #s(literal 1 binary64)) (-.f64 x y))
(/.f64 (/.f64 (*.f64 (+.f64 x y) (-.f64 y x)) #s(literal -1 binary64)) (-.f64 x y))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 x y)) #s(literal -1 binary64))
(*.f64 (+.f64 x y) #s(literal 1 binary64))
(*.f64 (+.f64 x y) (*.f64 (-.f64 x y) (/.f64 #s(literal 1 binary64) (-.f64 x y))))
(*.f64 (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x y) (*.f64 y y))))
(*.f64 (fma.f64 x (-.f64 x y) (*.f64 y y)) (/.f64 (+.f64 x y) (fma.f64 x (-.f64 x y) (*.f64 y y))))
(*.f64 (fma.f64 x (-.f64 x y) (*.f64 y y)) (*.f64 (+.f64 x y) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x y) (*.f64 y y)))))
(*.f64 (fma.f64 x (+.f64 x y) (*.f64 y y)) (*.f64 (/.f64 (+.f64 x y) (fma.f64 x (+.f64 x y) (*.f64 y y))) #s(literal 1 binary64)))
(*.f64 #s(literal 1 binary64) (+.f64 x y))
(*.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (/.f64 #s(literal 1 binary64) (-.f64 x y)))
(*.f64 #s(literal -1 binary64) (-.f64 (neg.f64 y) x))
(*.f64 (neg.f64 (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 x (-.f64 x y) (*.f64 y y)))))
(*.f64 (*.f64 (+.f64 x y) (-.f64 y x)) (/.f64 #s(literal 1 binary64) (-.f64 y x)))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x y) (*.f64 y y))) (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 x y)) (*.f64 (-.f64 x y) (+.f64 x y)))
(*.f64 (*.f64 (/.f64 (+.f64 x y) (fma.f64 x (+.f64 x y) (*.f64 y y))) #s(literal 1 binary64)) (fma.f64 x (+.f64 x y) (*.f64 y y)))
(*.f64 (*.f64 (/.f64 (+.f64 x y) (fma.f64 x (+.f64 x y) (*.f64 y y))) #s(literal 1 binary64)) (fma.f64 x x (*.f64 (neg.f64 y) (-.f64 (neg.f64 y) x))))
(*.f64 (/.f64 (+.f64 x y) #s(literal 1 binary64)) #s(literal 1 binary64))
(*.f64 (/.f64 (+.f64 x y) (*.f64 (-.f64 x y) (fma.f64 x (+.f64 x y) (*.f64 y y)))) (/.f64 (-.f64 x y) (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x y) (*.f64 y y)))))
(*.f64 (/.f64 (+.f64 x y) (/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))))) (/.f64 (-.f64 x y) (fma.f64 x (-.f64 x y) (*.f64 y y))))
(*.f64 (*.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y)))) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x y) (*.f64 y y))))
(*.f64 (*.f64 #s(literal 1 binary64) (*.f64 (/.f64 (+.f64 x y) (fma.f64 x (+.f64 x y) (*.f64 y y))) #s(literal 1 binary64))) (fma.f64 x (+.f64 x y) (*.f64 y y)))
(*.f64 (/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 x y)))
(*.f64 (/.f64 (*.f64 (+.f64 x y) (-.f64 y x)) (*.f64 (-.f64 x y) (+.f64 x y))) (-.f64 (neg.f64 y) x))
(*.f64 (/.f64 (*.f64 (+.f64 x y) (-.f64 y x)) (*.f64 (-.f64 x y) (fma.f64 x (+.f64 x y) (*.f64 y y)))) (neg.f64 (fma.f64 x (+.f64 x y) (*.f64 y y))))
(*.f64 (/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (*.f64 (+.f64 x y) (-.f64 y x))) (-.f64 (neg.f64 y) x))
(*.f64 (/.f64 (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))) (fma.f64 x (*.f64 (*.f64 x x) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 y (-.f64 y x)) (*.f64 (*.f64 y (-.f64 y x)) (*.f64 y (-.f64 y x)))))) (fma.f64 (*.f64 y (-.f64 y x)) (-.f64 (*.f64 y (-.f64 y x)) (*.f64 x x)) (*.f64 x (*.f64 x (*.f64 x x)))))
(*.f64 (/.f64 (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))) (*.f64 (fma.f64 x (-.f64 x y) (*.f64 y y)) (-.f64 (*.f64 x x) (*.f64 y (-.f64 y x))))) (-.f64 (*.f64 x x) (*.f64 y (-.f64 y x))))
(*.f64 (/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (*.f64 (fma.f64 x (+.f64 x y) (*.f64 y y)) (-.f64 y x))) (neg.f64 (fma.f64 x (+.f64 x y) (*.f64 y y))))

simplify406.0ms (3.8%)

Memory
23.1MiB live, 740.3MiB allocated
Algorithm
1×egg-herbie
Rules
12 038×lower-fma.f64
12 038×lower-fma.f32
4 472×lower-*.f64
4 472×lower-*.f32
2 680×lower--.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0186985
1571921
21809857
37607851
08573806
Stop Event
1×iter limit
1×node limit
Counts
96 → 87
Calls
Call 1
Inputs
(* -1 (/ y (- 2 y)))
(+ (* -1 (/ y (- 2 y))) (* x (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2)))))
(+ (* -1 (/ y (- 2 y))) (* x (- (+ (/ 1 (- 2 y)) (/ (* x (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2)))) (- 2 y))) (/ y (pow (- 2 y) 2)))))
(+ (* -1 (/ y (- 2 y))) (* x (- (+ (* x (- (/ (* x (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2)))) (pow (- 2 y) 2)) (* -1 (/ (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2))) (- 2 y))))) (/ 1 (- 2 y))) (/ y (pow (- 2 y) 2)))))
-1
(- (* 2 (/ y x)) (+ 1 (* 2 (/ 1 x))))
(- (+ (* 2 (/ y x)) (/ (* (- 2 y) (- (* 2 y) 2)) (pow x 2))) (+ 1 (* 2 (/ 1 x))))
(- (+ (* 2 (/ y x)) (/ (* (pow (- 2 y) 2) (- (* 2 y) 2)) (pow x 3))) (+ 1 (+ (* -1 (/ (* (- 2 y) (- (* 2 y) 2)) (pow x 2))) (* 2 (/ 1 x)))))
-1
(- (* 2 (/ y x)) (+ 1 (* 2 (/ 1 x))))
(- (* -1 (/ (+ (* -1 (- (* 2 y) 2)) (* -1 (/ (* (- 2 y) (- (* 2 y) 2)) x))) x)) 1)
(- (* -1 (/ (+ (* -1 (- (* 2 y) 2)) (* -1 (/ (+ (* (- 2 y) (- (* 2 y) 2)) (/ (* (pow (- 2 y) 2) (- (* 2 y) 2)) x)) x))) x)) 1)
(/ x (- 2 x))
(+ (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x)))
(+ (* y (- (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 3))) (/ 1 (pow (- 2 x) 2))))) (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x)))
(+ (* y (- (* y (- (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 4))) (/ 1 (pow (- 2 x) 3))))) (+ (* -1 (/ x (pow (- 2 x) 3))) (/ 1 (pow (- 2 x) 2))))) (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x)))
1
(- (+ 1 (* -1 (/ x y))) (* -1 (/ (- 2 x) y)))
(- (+ 1 (+ (* -1 (/ x y)) (/ (* (- 2 x) (- (* -1 x) (* -1 (- 2 x)))) (pow y 2)))) (* -1 (/ (- 2 x) y)))
(- (+ 1 (+ (* -1 (/ x y)) (/ (* (pow (- 2 x) 2) (- (* -1 x) (* -1 (- 2 x)))) (pow y 3)))) (+ (* -1 (/ (* (- 2 x) (- (* -1 x) (* -1 (- 2 x)))) (pow y 2))) (* -1 (/ (- 2 x) y))))
1
(+ 1 (* -1 (/ (- (* 2 x) 2) y)))
(+ 1 (* -1 (/ (- (+ (* 2 x) (/ (* (- 2 x) (- (* 2 x) 2)) y)) 2) y)))
(+ 1 (* -1 (/ (- (+ (* -1 (/ (- (* -1 (/ (* (pow (- 2 x) 2) (- (* 2 x) 2)) y)) (* (- 2 x) (- (* 2 x) 2))) y)) (* 2 x)) 2) y)))
(* -1 y)
(- x y)
(- x y)
(- x y)
x
(* x (+ 1 (* -1 (/ y x))))
(* x (+ 1 (* -1 (/ y x))))
(* x (+ 1 (* -1 (/ y x))))
x
(* -1 (* x (- (/ y x) 1)))
(* -1 (* x (- (/ y x) 1)))
(* -1 (* x (- (/ y x) 1)))
x
(+ x (* -1 y))
(+ x (* -1 y))
(+ x (* -1 y))
(* -1 y)
(* y (- (/ x y) 1))
(* y (- (/ x y) 1))
(* y (- (/ x y) 1))
(* -1 y)
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(- 2 y)
(- (+ 2 (* -1 x)) y)
(- (+ 2 (* -1 x)) y)
(- (+ 2 (* -1 x)) y)
(* -1 x)
(* x (- (* 2 (/ 1 x)) (+ 1 (/ y x))))
(* x (- (* 2 (/ 1 x)) (+ 1 (/ y x))))
(* x (- (* 2 (/ 1 x)) (+ 1 (/ y x))))
(* -1 x)
(* -1 (* x (+ 1 (* -1 (/ (- 2 y) x)))))
(* -1 (* x (+ 1 (* -1 (/ (- 2 y) x)))))
(* -1 (* x (+ 1 (* -1 (/ (- 2 y) x)))))
(- 2 x)
(- (+ 2 (* -1 y)) x)
(- (+ 2 (* -1 y)) x)
(- (+ 2 (* -1 y)) x)
(* -1 y)
(* y (- (* 2 (/ 1 y)) (+ 1 (/ x y))))
(* y (- (* 2 (/ 1 y)) (+ 1 (/ x y))))
(* y (- (* 2 (/ 1 y)) (+ 1 (/ x y))))
(* -1 y)
(* -1 (* y (+ 1 (* -1 (/ (- 2 x) y)))))
(* -1 (* y (+ 1 (* -1 (/ (- 2 x) y)))))
(* -1 (* y (+ 1 (* -1 (/ (- 2 x) y)))))
y
(+ x y)
(+ x y)
(+ x y)
x
(* x (+ 1 (/ y x)))
(* x (+ 1 (/ y x)))
(* x (+ 1 (/ y x)))
x
(* -1 (* x (- (* -1 (/ y x)) 1)))
(* -1 (* x (- (* -1 (/ y x)) 1)))
(* -1 (* x (- (* -1 (/ y x)) 1)))
x
(+ x y)
(+ x y)
(+ x y)
y
(* y (+ 1 (/ x y)))
(* y (+ 1 (/ x y)))
(* y (+ 1 (/ x y)))
y
(* -1 (* y (- (* -1 (/ x y)) 1)))
(* -1 (* y (- (* -1 (/ x y)) 1)))
(* -1 (* y (- (* -1 (/ x y)) 1)))
Outputs
(* -1 (/ y (- 2 y)))
(/.f64 y (+.f64 y #s(literal -2 binary64)))
(+ (* -1 (/ y (- 2 y))) (* x (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2)))))
(+.f64 (/.f64 y (+.f64 y #s(literal -2 binary64))) (fma.f64 x (/.f64 y (*.f64 (-.f64 #s(literal 2 binary64) y) (+.f64 y #s(literal -2 binary64)))) (/.f64 x (-.f64 #s(literal 2 binary64) y))))
(+ (* -1 (/ y (- 2 y))) (* x (- (+ (/ 1 (- 2 y)) (/ (* x (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2)))) (- 2 y))) (/ y (pow (- 2 y) 2)))))
(fma.f64 x (fma.f64 x (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) y)) (/.f64 y (*.f64 (-.f64 #s(literal 2 binary64) y) (+.f64 y #s(literal -2 binary64))))) (-.f64 #s(literal 2 binary64) y)) (+.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) y)) (/.f64 y (*.f64 (-.f64 #s(literal 2 binary64) y) (+.f64 y #s(literal -2 binary64)))))) (/.f64 y (+.f64 y #s(literal -2 binary64))))
(+ (* -1 (/ y (- 2 y))) (* x (- (+ (* x (- (/ (* x (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2)))) (pow (- 2 y) 2)) (* -1 (/ (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2))) (- 2 y))))) (/ 1 (- 2 y))) (/ y (pow (- 2 y) 2)))))
(fma.f64 x (fma.f64 x (*.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) y)) (/.f64 y (*.f64 (-.f64 #s(literal 2 binary64) y) (+.f64 y #s(literal -2 binary64))))) (-.f64 #s(literal 2 binary64) y)) (+.f64 (/.f64 x (-.f64 #s(literal 2 binary64) y)) #s(literal 1 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) y)) (/.f64 y (*.f64 (-.f64 #s(literal 2 binary64) y) (+.f64 y #s(literal -2 binary64)))))) (/.f64 y (+.f64 y #s(literal -2 binary64))))
-1
#s(literal -1 binary64)
(- (* 2 (/ y x)) (+ 1 (* 2 (/ 1 x))))
(+.f64 (/.f64 (fma.f64 y #s(literal 2 binary64) #s(literal -2 binary64)) x) #s(literal -1 binary64))
(- (+ (* 2 (/ y x)) (/ (* (- 2 y) (- (* 2 y) 2)) (pow x 2))) (+ 1 (* 2 (/ 1 x))))
(fma.f64 (-.f64 #s(literal 2 binary64) y) (/.f64 (fma.f64 y #s(literal 2 binary64) #s(literal -2 binary64)) (*.f64 x x)) (+.f64 (/.f64 (fma.f64 y #s(literal 2 binary64) #s(literal -2 binary64)) x) #s(literal -1 binary64)))
(- (+ (* 2 (/ y x)) (/ (* (pow (- 2 y) 2) (- (* 2 y) 2)) (pow x 3))) (+ 1 (+ (* -1 (/ (* (- 2 y) (- (* 2 y) 2)) (pow x 2))) (* 2 (/ 1 x)))))
(fma.f64 (-.f64 #s(literal 2 binary64) y) (/.f64 (*.f64 (-.f64 #s(literal 2 binary64) y) (fma.f64 y #s(literal 2 binary64) #s(literal -2 binary64))) (*.f64 x (*.f64 x x))) (-.f64 #s(literal -1 binary64) (/.f64 (*.f64 (fma.f64 y #s(literal 2 binary64) #s(literal -2 binary64)) (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 2 binary64) y) x))) x)))
-1
#s(literal -1 binary64)
(- (* 2 (/ y x)) (+ 1 (* 2 (/ 1 x))))
(+.f64 (/.f64 (fma.f64 y #s(literal 2 binary64) #s(literal -2 binary64)) x) #s(literal -1 binary64))
(- (* -1 (/ (+ (* -1 (- (* 2 y) 2)) (* -1 (/ (* (- 2 y) (- (* 2 y) 2)) x))) x)) 1)
(-.f64 #s(literal -1 binary64) (/.f64 (*.f64 (fma.f64 y #s(literal 2 binary64) #s(literal -2 binary64)) (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 2 binary64) y) x))) x))
(- (* -1 (/ (+ (* -1 (- (* 2 y) 2)) (* -1 (/ (+ (* (- 2 y) (- (* 2 y) 2)) (/ (* (pow (- 2 y) 2) (- (* 2 y) 2)) x)) x))) x)) 1)
(+.f64 #s(literal -1 binary64) (/.f64 (+.f64 (fma.f64 y #s(literal 2 binary64) #s(literal -2 binary64)) (/.f64 (*.f64 (fma.f64 y #s(literal 2 binary64) #s(literal -2 binary64)) (fma.f64 (-.f64 #s(literal 2 binary64) y) (/.f64 (-.f64 #s(literal 2 binary64) y) x) (-.f64 #s(literal 2 binary64) y))) x)) x))
(/ x (- 2 x))
(/.f64 x (-.f64 #s(literal 2 binary64) x))
(+ (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x)))
(fma.f64 y (+.f64 (/.f64 x (*.f64 (-.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 2 binary64) x))) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 2 binary64) x))) (/.f64 x (-.f64 #s(literal 2 binary64) x)))
(+ (* y (- (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 3))) (/ 1 (pow (- 2 x) 2))))) (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x)))
(fma.f64 y (+.f64 (fma.f64 y (/.f64 x (*.f64 (-.f64 #s(literal 2 binary64) x) (*.f64 (-.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 2 binary64) x)))) (/.f64 y (*.f64 (-.f64 #s(literal 2 binary64) x) (+.f64 x #s(literal -2 binary64))))) (+.f64 (/.f64 x (*.f64 (-.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 2 binary64) x))) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 2 binary64) x)))) (/.f64 x (-.f64 #s(literal 2 binary64) x)))
(+ (* y (- (* y (- (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 4))) (/ 1 (pow (- 2 x) 3))))) (+ (* -1 (/ x (pow (- 2 x) 3))) (/ 1 (pow (- 2 x) 2))))) (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x)))
(+.f64 (/.f64 x (-.f64 #s(literal 2 binary64) x)) (fma.f64 y (fma.f64 y (+.f64 (/.f64 x (*.f64 (-.f64 #s(literal 2 binary64) x) (*.f64 (-.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 2 binary64) x)))) (+.f64 (/.f64 #s(literal -1 binary64) (*.f64 (-.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 2 binary64) x))) (fma.f64 y (/.f64 x (pow.f64 (-.f64 #s(literal 2 binary64) x) #s(literal 4 binary64))) (/.f64 y (*.f64 (-.f64 #s(literal 2 binary64) x) (*.f64 (-.f64 #s(literal 2 binary64) x) (+.f64 x #s(literal -2 binary64)))))))) (/.f64 x (*.f64 (-.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 2 binary64) x)))) (/.f64 y (+.f64 x #s(literal -2 binary64)))))
1
#s(literal 1 binary64)
(- (+ 1 (* -1 (/ x y))) (* -1 (/ (- 2 x) y)))
(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 2 binary64) (+.f64 x x)) y))
(- (+ 1 (+ (* -1 (/ x y)) (/ (* (- 2 x) (- (* -1 x) (* -1 (- 2 x)))) (pow y 2)))) (* -1 (/ (- 2 x) y)))
(fma.f64 (-.f64 #s(literal 2 binary64) x) (/.f64 (-.f64 #s(literal 2 binary64) (+.f64 x x)) (*.f64 y y)) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 2 binary64) (+.f64 x x)) y)))
(- (+ 1 (+ (* -1 (/ x y)) (/ (* (pow (- 2 x) 2) (- (* -1 x) (* -1 (- 2 x)))) (pow y 3)))) (+ (* -1 (/ (* (- 2 x) (- (* -1 x) (* -1 (- 2 x)))) (pow y 2))) (* -1 (/ (- 2 x) y))))
(+.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) (fma.f64 (/.f64 (-.f64 #s(literal 2 binary64) (+.f64 x x)) (*.f64 y y)) (-.f64 (*.f64 (-.f64 #s(literal 2 binary64) x) (/.f64 (-.f64 #s(literal 2 binary64) x) y)) (+.f64 x #s(literal -2 binary64))) (/.f64 (-.f64 #s(literal 2 binary64) x) y)))
1
#s(literal 1 binary64)
(+ 1 (* -1 (/ (- (* 2 x) 2) y)))
(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 2 binary64) (+.f64 x x)) y))
(+ 1 (* -1 (/ (- (+ (* 2 x) (/ (* (- 2 x) (- (* 2 x) 2)) y)) 2) y)))
(-.f64 #s(literal 1 binary64) (/.f64 (+.f64 (+.f64 x x) (fma.f64 (-.f64 #s(literal 2 binary64) x) (/.f64 (+.f64 (+.f64 x x) #s(literal -2 binary64)) y) #s(literal -2 binary64))) y))
(+ 1 (* -1 (/ (- (+ (* -1 (/ (- (* -1 (/ (* (pow (- 2 x) 2) (- (* 2 x) 2)) y)) (* (- 2 x) (- (* 2 x) 2))) y)) (* 2 x)) 2) y)))
(-.f64 #s(literal 1 binary64) (/.f64 (+.f64 (+.f64 x x) (+.f64 (/.f64 (*.f64 (+.f64 (+.f64 x x) #s(literal -2 binary64)) (fma.f64 (-.f64 #s(literal 2 binary64) x) (/.f64 (-.f64 #s(literal 2 binary64) x) y) (-.f64 #s(literal 2 binary64) x))) y) #s(literal -2 binary64))) y))
(* -1 y)
(neg.f64 y)
(- x y)
(-.f64 x y)
(- x y)
(-.f64 x y)
(- x y)
(-.f64 x y)
x
(* x (+ 1 (* -1 (/ y x))))
(-.f64 x (/.f64 (*.f64 y x) x))
(* x (+ 1 (* -1 (/ y x))))
(-.f64 x (/.f64 (*.f64 y x) x))
(* x (+ 1 (* -1 (/ y x))))
(-.f64 x (/.f64 (*.f64 y x) x))
x
(* -1 (* x (- (/ y x) 1)))
(-.f64 x (/.f64 (*.f64 y x) x))
(* -1 (* x (- (/ y x) 1)))
(-.f64 x (/.f64 (*.f64 y x) x))
(* -1 (* x (- (/ y x) 1)))
(-.f64 x (/.f64 (*.f64 y x) x))
x
(+ x (* -1 y))
(-.f64 x y)
(+ x (* -1 y))
(-.f64 x y)
(+ x (* -1 y))
(-.f64 x y)
(* -1 y)
(neg.f64 y)
(* y (- (/ x y) 1))
(fma.f64 y (/.f64 x y) (neg.f64 y))
(* y (- (/ x y) 1))
(fma.f64 y (/.f64 x y) (neg.f64 y))
(* y (- (/ x y) 1))
(fma.f64 y (/.f64 x y) (neg.f64 y))
(* -1 y)
(neg.f64 y)
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(fma.f64 y (/.f64 x y) (neg.f64 y))
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(fma.f64 y (/.f64 x y) (neg.f64 y))
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(fma.f64 y (/.f64 x y) (neg.f64 y))
(- 2 y)
(-.f64 #s(literal 2 binary64) y)
(- (+ 2 (* -1 x)) y)
(-.f64 #s(literal 2 binary64) (+.f64 y x))
(- (+ 2 (* -1 x)) y)
(-.f64 #s(literal 2 binary64) (+.f64 y x))
(- (+ 2 (* -1 x)) y)
(-.f64 #s(literal 2 binary64) (+.f64 y x))
(* -1 x)
(neg.f64 x)
(* x (- (* 2 (/ 1 x)) (+ 1 (/ y x))))
(-.f64 (/.f64 (*.f64 (-.f64 #s(literal 2 binary64) y) x) x) x)
(* x (- (* 2 (/ 1 x)) (+ 1 (/ y x))))
(-.f64 (/.f64 (*.f64 (-.f64 #s(literal 2 binary64) y) x) x) x)
(* x (- (* 2 (/ 1 x)) (+ 1 (/ y x))))
(-.f64 (/.f64 (*.f64 (-.f64 #s(literal 2 binary64) y) x) x) x)
(* -1 x)
(neg.f64 x)
(* -1 (* x (+ 1 (* -1 (/ (- 2 y) x)))))
(-.f64 (/.f64 (*.f64 (-.f64 #s(literal 2 binary64) y) x) x) x)
(* -1 (* x (+ 1 (* -1 (/ (- 2 y) x)))))
(-.f64 (/.f64 (*.f64 (-.f64 #s(literal 2 binary64) y) x) x) x)
(* -1 (* x (+ 1 (* -1 (/ (- 2 y) x)))))
(-.f64 (/.f64 (*.f64 (-.f64 #s(literal 2 binary64) y) x) x) x)
(- 2 x)
(-.f64 #s(literal 2 binary64) x)
(- (+ 2 (* -1 y)) x)
(-.f64 #s(literal 2 binary64) (+.f64 y x))
(- (+ 2 (* -1 y)) x)
(-.f64 #s(literal 2 binary64) (+.f64 y x))
(- (+ 2 (* -1 y)) x)
(-.f64 #s(literal 2 binary64) (+.f64 y x))
(* -1 y)
(neg.f64 y)
(* y (- (* 2 (/ 1 y)) (+ 1 (/ x y))))
(-.f64 (*.f64 y (/.f64 (-.f64 #s(literal 2 binary64) x) y)) y)
(* y (- (* 2 (/ 1 y)) (+ 1 (/ x y))))
(-.f64 (*.f64 y (/.f64 (-.f64 #s(literal 2 binary64) x) y)) y)
(* y (- (* 2 (/ 1 y)) (+ 1 (/ x y))))
(-.f64 (*.f64 y (/.f64 (-.f64 #s(literal 2 binary64) x) y)) y)
(* -1 y)
(neg.f64 y)
(* -1 (* y (+ 1 (* -1 (/ (- 2 x) y)))))
(-.f64 (*.f64 y (/.f64 (-.f64 #s(literal 2 binary64) x) y)) y)
(* -1 (* y (+ 1 (* -1 (/ (- 2 x) y)))))
(-.f64 (*.f64 y (/.f64 (-.f64 #s(literal 2 binary64) x) y)) y)
(* -1 (* y (+ 1 (* -1 (/ (- 2 x) y)))))
(-.f64 (*.f64 y (/.f64 (-.f64 #s(literal 2 binary64) x) y)) y)
y
(+ x y)
(+.f64 y x)
(+ x y)
(+.f64 y x)
(+ x y)
(+.f64 y x)
x
(* x (+ 1 (/ y x)))
(fma.f64 x (/.f64 y x) x)
(* x (+ 1 (/ y x)))
(fma.f64 x (/.f64 y x) x)
(* x (+ 1 (/ y x)))
(fma.f64 x (/.f64 y x) x)
x
(* -1 (* x (- (* -1 (/ y x)) 1)))
(fma.f64 x (/.f64 y x) x)
(* -1 (* x (- (* -1 (/ y x)) 1)))
(fma.f64 x (/.f64 y x) x)
(* -1 (* x (- (* -1 (/ y x)) 1)))
(fma.f64 x (/.f64 y x) x)
x
(+ x y)
(+.f64 y x)
(+ x y)
(+.f64 y x)
(+ x y)
(+.f64 y x)
y
(* y (+ 1 (/ x y)))
(fma.f64 y (/.f64 x y) y)
(* y (+ 1 (/ x y)))
(fma.f64 y (/.f64 x y) y)
(* y (+ 1 (/ x y)))
(fma.f64 y (/.f64 x y) y)
y
(* -1 (* y (- (* -1 (/ x y)) 1)))
(fma.f64 y (/.f64 x y) y)
(* -1 (* y (- (* -1 (/ x y)) 1)))
(fma.f64 y (/.f64 x y) y)
(* -1 (* y (- (* -1 (/ x y)) 1)))
(fma.f64 y (/.f64 x y) y)

eval83.0ms (0.8%)

Memory
22.5MiB live, 211.7MiB allocated
Compiler

Compiled 19 528 to 1 840 computations (90.6% saved)

prune157.0ms (1.5%)

Memory
-27.8MiB live, 180.0MiB allocated
Pruning

13 alts after pruning (12 fresh and 1 done)

PrunedKeptTotal
New68212694
Fresh000
Picked011
Done000
Total68213695
Accuracy
100.0%
Counts
695 → 13
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓100.0%
(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y)))
▶60.0%
(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) x))
40.1%
(/.f64 (-.f64 x y) (neg.f64 y))
▶40.9%
(/.f64 (-.f64 x y) (neg.f64 x))
49.3%
(/.f64 (neg.f64 y) (-.f64 #s(literal 2 binary64) (+.f64 x y)))
48.9%
(/.f64 y (+.f64 y #s(literal -2 binary64)))
▶51.8%
(/.f64 x (-.f64 #s(literal 2 binary64) x))
▶99.9%
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 2 binary64) (+.f64 x y)) (-.f64 x y)))
41.4%
(+.f64 (/.f64 (fma.f64 y #s(literal 2 binary64) #s(literal -2 binary64)) x) #s(literal -1 binary64))
40.3%
(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 2 binary64) (+.f64 x x)) y))
99.8%
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (+.f64 x y))) (-.f64 x y))
39.9%
#s(literal 1 binary64)
▶40.6%
#s(literal -1 binary64)
Compiler

Compiled 215 to 153 computations (28.8% saved)

simplify141.0ms (1.3%)

Memory
13.1MiB live, 91.6MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 12 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(-.f64 #s(literal 2 binary64) x)
✓cost-diff0
(-.f64 x y)
✓cost-diff0
(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) x))
✓cost-diff0
(neg.f64 x)
✓cost-diff0
(-.f64 x y)
✓cost-diff128
(/.f64 (-.f64 x y) (neg.f64 x))
✓cost-diff0
(-.f64 #s(literal 2 binary64) x)
✓cost-diff0
(/.f64 x (-.f64 #s(literal 2 binary64) x))
✓cost-diff0
(+.f64 x y)
✓cost-diff0
(-.f64 #s(literal 2 binary64) (+.f64 x y))
✓cost-diff0
(/.f64 (-.f64 #s(literal 2 binary64) (+.f64 x y)) (-.f64 x y))
✓cost-diff704
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 2 binary64) (+.f64 x y)) (-.f64 x y)))
Rules
1 376×lower-fma.f64
1 376×lower-fma.f32
852×div-sub
656×lower-*.f64
656×lower-*.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01575
02575
14875
29872
321872
452772
5135272
6240372
7282372
8293572
9298772
10303072
11303072
12303072
0303072
Stop Event
1×iter limit
1×saturated
1×iter limit
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 2 binary64) (+.f64 x y)) (-.f64 x y)))
#s(literal 1 binary64)
(/.f64 (-.f64 #s(literal 2 binary64) (+.f64 x y)) (-.f64 x y))
(-.f64 #s(literal 2 binary64) (+.f64 x y))
#s(literal 2 binary64)
(+.f64 x y)
x
y
(-.f64 x y)
#s(literal -1 binary64)
(/.f64 x (-.f64 #s(literal 2 binary64) x))
x
(-.f64 #s(literal 2 binary64) x)
#s(literal 2 binary64)
(/.f64 (-.f64 x y) (neg.f64 x))
(-.f64 x y)
x
y
(neg.f64 x)
(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) x))
(-.f64 x y)
x
y
(-.f64 #s(literal 2 binary64) x)
#s(literal 2 binary64)
Outputs
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 2 binary64) (+.f64 x y)) (-.f64 x y)))
(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y)))
#s(literal 1 binary64)
(/.f64 (-.f64 #s(literal 2 binary64) (+.f64 x y)) (-.f64 x y))
(-.f64 #s(literal 2 binary64) (+.f64 x y))
#s(literal 2 binary64)
(+.f64 x y)
x
y
(-.f64 x y)
#s(literal -1 binary64)
(/.f64 x (-.f64 #s(literal 2 binary64) x))
x
(-.f64 #s(literal 2 binary64) x)
#s(literal 2 binary64)
(/.f64 (-.f64 x y) (neg.f64 x))
(/.f64 (-.f64 y x) x)
(-.f64 x y)
x
y
(neg.f64 x)
(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) x))
(-.f64 x y)
x
y
(-.f64 #s(literal 2 binary64) x)
#s(literal 2 binary64)

localize78.0ms (0.7%)

Memory
6.7MiB live, 80.1MiB allocated
Localize:

Found 12 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(-.f64 x y)
✓accuracy100.0%
(-.f64 #s(literal 2 binary64) x)
✓accuracy100.0%
(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) x))
✓accuracy100.0%
(-.f64 x y)
✓accuracy100.0%
(neg.f64 x)
✓accuracy100.0%
(/.f64 (-.f64 x y) (neg.f64 x))
✓accuracy100.0%
(-.f64 #s(literal 2 binary64) x)
✓accuracy100.0%
(/.f64 x (-.f64 #s(literal 2 binary64) x))
✓accuracy100.0%
(+.f64 x y)
✓accuracy100.0%
(-.f64 #s(literal 2 binary64) (+.f64 x y))
✓accuracy99.9%
(/.f64 (-.f64 #s(literal 2 binary64) (+.f64 x y)) (-.f64 x y))
✓accuracy99.9%
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 2 binary64) (+.f64 x y)) (-.f64 x y)))
Samples
62.0ms255×0valid
0.0ms1×1valid
Compiler

Compiled 77 to 17 computations (77.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 32.0ms
ival-sub: 21.0ms (64.8% of total)
ival-div: 8.0ms (24.7% of total)
ival-add: 2.0ms (6.2% of total)
ival-neg: 1.0ms (3.1% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series45.0ms (0.4%)

Memory
-1.5MiB live, 41.5MiB allocated
Counts
10 → 204
Calls
Call 1
Inputs
#<alt (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 2 binary64) (+.f64 x y)) (-.f64 x y)))>
#<alt (/.f64 (-.f64 #s(literal 2 binary64) (+.f64 x y)) (-.f64 x y))>
#<alt (-.f64 #s(literal 2 binary64) (+.f64 x y))>
#<alt (+.f64 x y)>
#<alt (/.f64 x (-.f64 #s(literal 2 binary64) x))>
#<alt (-.f64 #s(literal 2 binary64) x)>
#<alt (/.f64 (-.f64 x y) (neg.f64 x))>
#<alt (-.f64 x y)>
#<alt (neg.f64 x)>
#<alt (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) x))>
Outputs
#<alt (* -1 (/ y (- 2 y)))>
#<alt (+ (* -1 (/ y (- 2 y))) (* x (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2)))))>
#<alt (+ (* -1 (/ y (- 2 y))) (* x (- (+ (/ 1 (- 2 y)) (/ (* x (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2)))) (- 2 y))) (/ y (pow (- 2 y) 2)))))>
#<alt (+ (* -1 (/ y (- 2 y))) (* x (- (+ (* x (- (/ (* x (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2)))) (pow (- 2 y) 2)) (* -1 (/ (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2))) (- 2 y))))) (/ 1 (- 2 y))) (/ y (pow (- 2 y) 2)))))>
#<alt -1>
#<alt (- (* 2 (/ y x)) (+ 1 (* 2 (/ 1 x))))>
#<alt (- (+ (* 2 (/ y x)) (/ (* (- 2 y) (- (* 2 y) 2)) (pow x 2))) (+ 1 (* 2 (/ 1 x))))>
#<alt (- (+ (* 2 (/ y x)) (/ (* (pow (- 2 y) 2) (- (* 2 y) 2)) (pow x 3))) (+ 1 (+ (* -1 (/ (* (- 2 y) (- (* 2 y) 2)) (pow x 2))) (* 2 (/ 1 x)))))>
#<alt -1>
#<alt (- (* 2 (/ y x)) (+ 1 (* 2 (/ 1 x))))>
#<alt (- (* -1 (/ (+ (* -1 (- (* 2 y) 2)) (* -1 (/ (* (- 2 y) (- (* 2 y) 2)) x))) x)) 1)>
#<alt (- (* -1 (/ (+ (* -1 (- (* 2 y) 2)) (* -1 (/ (+ (* (- 2 y) (- (* 2 y) 2)) (/ (* (pow (- 2 y) 2) (- (* 2 y) 2)) x)) x))) x)) 1)>
#<alt (/ x (- 2 x))>
#<alt (+ (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x)))>
#<alt (+ (* y (- (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 3))) (/ 1 (pow (- 2 x) 2))))) (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x)))>
#<alt (+ (* y (- (* y (- (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 4))) (/ 1 (pow (- 2 x) 3))))) (+ (* -1 (/ x (pow (- 2 x) 3))) (/ 1 (pow (- 2 x) 2))))) (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x)))>
#<alt 1>
#<alt (- (+ 1 (* -1 (/ x y))) (* -1 (/ (- 2 x) y)))>
#<alt (- (+ 1 (+ (* -1 (/ x y)) (/ (* (- 2 x) (- (* -1 x) (* -1 (- 2 x)))) (pow y 2)))) (* -1 (/ (- 2 x) y)))>
#<alt (- (+ 1 (+ (* -1 (/ x y)) (/ (* (pow (- 2 x) 2) (- (* -1 x) (* -1 (- 2 x)))) (pow y 3)))) (+ (* -1 (/ (* (- 2 x) (- (* -1 x) (* -1 (- 2 x)))) (pow y 2))) (* -1 (/ (- 2 x) y))))>
#<alt 1>
#<alt (+ 1 (* -1 (/ (- (* 2 x) 2) y)))>
#<alt (+ 1 (* -1 (/ (- (+ (* 2 x) (/ (* (- 2 x) (- (* 2 x) 2)) y)) 2) y)))>
#<alt (+ 1 (* -1 (/ (- (+ (* -1 (/ (- (* -1 (/ (* (pow (- 2 x) 2) (- (* 2 x) 2)) y)) (* (- 2 x) (- (* 2 x) 2))) y)) (* 2 x)) 2) y)))>
#<alt (* -1 (/ (- 2 y) y))>
#<alt (+ (* -1 (/ (- 2 y) y)) (* x (- (* 2 (/ 1 y)) (* 2 (/ 1 (pow y 2))))))>
#<alt (+ (* -1 (/ (- 2 y) y)) (* x (- (+ (* 2 (/ 1 y)) (/ (* x (- (* 2 (/ 1 y)) (* 2 (/ 1 (pow y 2))))) y)) (* 2 (/ 1 (pow y 2))))))>
#<alt (+ (* -1 (/ (- 2 y) y)) (* x (- (+ (* 2 (/ 1 y)) (* x (- (/ (* x (- (* 2 (/ 1 y)) (* 2 (/ 1 (pow y 2))))) (pow y 2)) (* -1 (/ (- (* 2 (/ 1 y)) (* 2 (/ 1 (pow y 2)))) y))))) (* 2 (/ 1 (pow y 2))))))>
#<alt -1>
#<alt (- (* 2 (/ 1 x)) (+ 1 (* 2 (/ y x))))>
#<alt (- (+ (* 2 (/ 1 x)) (/ (* y (- 2 (* 2 y))) (pow x 2))) (+ 1 (* 2 (/ y x))))>
#<alt (- (+ (* 2 (/ 1 x)) (/ (* (pow y 2) (- 2 (* 2 y))) (pow x 3))) (+ 1 (+ (* -1 (/ (* y (- 2 (* 2 y))) (pow x 2))) (* 2 (/ y x)))))>
#<alt -1>
#<alt (- (* 2 (/ 1 x)) (+ 1 (* 2 (/ y x))))>
#<alt (- (* -1 (/ (+ (* -1 (- 2 (* 2 y))) (* -1 (/ (* y (- 2 (* 2 y))) x))) x)) 1)>
#<alt (- (* -1 (/ (+ (* -1 (- 2 (* 2 y))) (* -1 (/ (+ (* y (- 2 (* 2 y))) (/ (* (pow y 2) (- 2 (* 2 y))) x)) x))) x)) 1)>
#<alt (/ (- 2 x) x)>
#<alt (- (+ (* -1 (* y (+ (* -1 (/ (- 2 x) (pow x 2))) (/ 1 x)))) (* 2 (/ 1 x))) 1)>
#<alt (- (+ (* y (- (* -1 (* y (+ (* -1 (/ (- 2 x) (pow x 3))) (/ 1 (pow x 2))))) (+ (* -1 (/ (- 2 x) (pow x 2))) (/ 1 x)))) (* 2 (/ 1 x))) 1)>
#<alt (- (+ (* y (- (* y (- (* -1 (* y (+ (* -1 (/ (- 2 x) (pow x 4))) (/ 1 (pow x 3))))) (+ (* -1 (/ (- 2 x) (pow x 3))) (/ 1 (pow x 2))))) (+ (* -1 (/ (- 2 x) (pow x 2))) (/ 1 x)))) (* 2 (/ 1 x))) 1)>
#<alt 1>
#<alt (- (+ 1 (* -1 (/ (- 2 x) y))) (* -1 (/ x y)))>
#<alt (- (+ 1 (+ (* -1 (/ (- 2 x) y)) (/ (* x (- (* -1 (- 2 x)) (* -1 x))) (pow y 2)))) (* -1 (/ x y)))>
#<alt (- (+ 1 (+ (* -1 (/ (- 2 x) y)) (/ (* (pow x 2) (- (* -1 (- 2 x)) (* -1 x))) (pow y 3)))) (+ (* -1 (/ x y)) (* -1 (/ (* x (- (* -1 (- 2 x)) (* -1 x))) (pow y 2)))))>
#<alt 1>
#<alt (+ 1 (* -1 (/ (- 2 (* 2 x)) y)))>
#<alt (+ 1 (* -1 (/ (- (+ 2 (/ (* x (- 2 (* 2 x))) y)) (* 2 x)) y)))>
#<alt (+ 1 (* -1 (/ (- (+ 2 (* -1 (/ (- (* -1 (/ (* (pow x 2) (- 2 (* 2 x))) y)) (* x (- 2 (* 2 x)))) y))) (* 2 x)) y)))>
#<alt (- 2 y)>
#<alt (- (+ 2 (* -1 x)) y)>
#<alt (- (+ 2 (* -1 x)) y)>
#<alt (- (+ 2 (* -1 x)) y)>
#<alt (* -1 x)>
#<alt (* x (- (* 2 (/ 1 x)) (+ 1 (/ y x))))>
#<alt (* x (- (* 2 (/ 1 x)) (+ 1 (/ y x))))>
#<alt (* x (- (* 2 (/ 1 x)) (+ 1 (/ y x))))>
#<alt (* -1 x)>
#<alt (* -1 (* x (+ 1 (* -1 (/ (- 2 y) x)))))>
#<alt (* -1 (* x (+ 1 (* -1 (/ (- 2 y) x)))))>
#<alt (* -1 (* x (+ 1 (* -1 (/ (- 2 y) x)))))>
#<alt (- 2 x)>
#<alt (- (+ 2 (* -1 y)) x)>
#<alt (- (+ 2 (* -1 y)) x)>
#<alt (- (+ 2 (* -1 y)) x)>
#<alt (* -1 y)>
#<alt (* y (- (* 2 (/ 1 y)) (+ 1 (/ x y))))>
#<alt (* y (- (* 2 (/ 1 y)) (+ 1 (/ x y))))>
#<alt (* y (- (* 2 (/ 1 y)) (+ 1 (/ x y))))>
#<alt (* -1 y)>
#<alt (* -1 (* y (+ 1 (* -1 (/ (- 2 x) y)))))>
#<alt (* -1 (* y (+ 1 (* -1 (/ (- 2 x) y)))))>
#<alt (* -1 (* y (+ 1 (* -1 (/ (- 2 x) y)))))>
#<alt y>
#<alt (+ x y)>
#<alt (+ x y)>
#<alt (+ x y)>
#<alt x>
#<alt (* x (+ 1 (/ y x)))>
#<alt (* x (+ 1 (/ y x)))>
#<alt (* x (+ 1 (/ y x)))>
#<alt x>
#<alt (* -1 (* x (- (* -1 (/ y x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ y x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ y x)) 1)))>
#<alt x>
#<alt (+ x y)>
#<alt (+ x y)>
#<alt (+ x y)>
#<alt y>
#<alt (* y (+ 1 (/ x y)))>
#<alt (* y (+ 1 (/ x y)))>
#<alt (* y (+ 1 (/ x y)))>
#<alt y>
#<alt (* -1 (* y (- (* -1 (/ x y)) 1)))>
#<alt (* -1 (* y (- (* -1 (/ x y)) 1)))>
#<alt (* -1 (* y (- (* -1 (/ x y)) 1)))>
#<alt (* 1/2 x)>
#<alt (* x (+ 1/2 (* 1/4 x)))>
#<alt (* x (+ 1/2 (* x (+ 1/4 (* 1/8 x)))))>
#<alt (* x (+ 1/2 (* x (+ 1/4 (* x (+ 1/8 (* 1/16 x)))))))>
#<alt -1>
#<alt (* -1 (+ 1 (* 2 (/ 1 x))))>
#<alt (- (* -1 (/ (+ 2 (* 4 (/ 1 x))) x)) 1)>
#<alt (- (* -1 (/ (+ 4 (* 8 (/ 1 x))) (pow x 2))) (+ 1 (* 2 (/ 1 x))))>
#<alt -1>
#<alt (* -1 (+ 1 (* 2 (/ 1 x))))>
#<alt (- (* -1 (/ (+ 2 (* 4 (/ 1 x))) x)) 1)>
#<alt (- (* -1 (/ (+ 2 (+ (* 4 (/ 1 x)) (/ 8 (pow x 2)))) x)) 1)>
#<alt 2>
#<alt (+ 2 (* -1 x))>
#<alt (+ 2 (* -1 x))>
#<alt (+ 2 (* -1 x))>
#<alt (* -1 x)>
#<alt (* x (- (* 2 (/ 1 x)) 1))>
#<alt (* x (- (* 2 (/ 1 x)) 1))>
#<alt (* x (- (* 2 (/ 1 x)) 1))>
#<alt (* -1 x)>
#<alt (* -1 (* x (- 1 (* 2 (/ 1 x)))))>
#<alt (* -1 (* x (- 1 (* 2 (/ 1 x)))))>
#<alt (* -1 (* x (- 1 (* 2 (/ 1 x)))))>
#<alt (/ y x)>
#<alt (/ (+ y (* -1 x)) x)>
#<alt (/ (+ y (* -1 x)) x)>
#<alt (/ (+ y (* -1 x)) x)>
#<alt -1>
#<alt (- (/ y x) 1)>
#<alt (- (/ y x) 1)>
#<alt (- (/ y x) 1)>
#<alt -1>
#<alt (- (/ y x) 1)>
#<alt (- (/ y x) 1)>
#<alt (- (/ y x) 1)>
#<alt -1>
#<alt (- (/ y x) 1)>
#<alt (- (/ y x) 1)>
#<alt (- (/ y x) 1)>
#<alt (/ y x)>
#<alt (* y (- (/ 1 x) (/ 1 y)))>
#<alt (* y (- (/ 1 x) (/ 1 y)))>
#<alt (* y (- (/ 1 x) (/ 1 y)))>
#<alt (/ y x)>
#<alt (* -1 (* y (- (/ 1 y) (/ 1 x))))>
#<alt (* -1 (* y (- (/ 1 y) (/ 1 x))))>
#<alt (* -1 (* y (- (/ 1 y) (/ 1 x))))>
#<alt (* -1 y)>
#<alt (- x y)>
#<alt (- x y)>
#<alt (- x y)>
#<alt x>
#<alt (* x (+ 1 (* -1 (/ y x))))>
#<alt (* x (+ 1 (* -1 (/ y x))))>
#<alt (* x (+ 1 (* -1 (/ y x))))>
#<alt x>
#<alt (* -1 (* x (- (/ y x) 1)))>
#<alt (* -1 (* x (- (/ y x) 1)))>
#<alt (* -1 (* x (- (/ y x) 1)))>
#<alt x>
#<alt (+ x (* -1 y))>
#<alt (+ x (* -1 y))>
#<alt (+ x (* -1 y))>
#<alt (* -1 y)>
#<alt (* y (- (/ x y) 1))>
#<alt (* y (- (/ x y) 1))>
#<alt (* y (- (/ x y) 1))>
#<alt (* -1 y)>
#<alt (* -1 (* y (+ 1 (* -1 (/ x y)))))>
#<alt (* -1 (* y (+ 1 (* -1 (/ x y)))))>
#<alt (* -1 (* y (+ 1 (* -1 (/ x y)))))>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1/2 y)>
#<alt (+ (* -1/2 y) (* x (- 1/2 (* 1/4 y))))>
#<alt (+ (* -1/2 y) (* x (- (+ 1/2 (* 1/2 (* x (- 1/2 (* 1/4 y))))) (* 1/4 y))))>
#<alt (+ (* -1/2 y) (* x (- (+ 1/2 (* x (- (* 1/4 (* x (- 1/2 (* 1/4 y)))) (* -1/2 (- 1/2 (* 1/4 y)))))) (* 1/4 y))))>
#<alt -1>
#<alt (- (/ y x) (+ 1 (* 2 (/ 1 x))))>
#<alt (- (+ (* 2 (/ (- y 2) (pow x 2))) (/ y x)) (+ 1 (* 2 (/ 1 x))))>
#<alt (- (+ (* 4 (/ (- y 2) (pow x 3))) (/ y x)) (+ 1 (+ (* -2 (/ (- y 2) (pow x 2))) (* 2 (/ 1 x)))))>
#<alt -1>
#<alt (- (/ y x) (+ 1 (* 2 (/ 1 x))))>
#<alt (- (* -1 (/ (+ (* -2 (/ (- y 2) x)) (* -1 (- y 2))) x)) 1)>
#<alt (- (* -1 (/ (+ (* -1 (- y 2)) (* -1 (/ (+ (* 2 (- y 2)) (* 4 (/ (- y 2) x))) x))) x)) 1)>
#<alt (/ x (- 2 x))>
#<alt (+ (* -1 (/ y (- 2 x))) (/ x (- 2 x)))>
#<alt (+ (* -1 (/ y (- 2 x))) (/ x (- 2 x)))>
#<alt (+ (* -1 (/ y (- 2 x))) (/ x (- 2 x)))>
#<alt (* -1 (/ y (- 2 x)))>
#<alt (* y (- (/ x (* y (- 2 x))) (/ 1 (- 2 x))))>
#<alt (* y (- (/ x (* y (- 2 x))) (/ 1 (- 2 x))))>
#<alt (* y (- (/ x (* y (- 2 x))) (/ 1 (- 2 x))))>
#<alt (* -1 (/ y (- 2 x)))>
#<alt (* -1 (* y (+ (* -1 (/ x (* y (- 2 x)))) (/ 1 (- 2 x)))))>
#<alt (* -1 (* y (+ (* -1 (/ x (* y (- 2 x)))) (/ 1 (- 2 x)))))>
#<alt (* -1 (* y (+ (* -1 (/ x (* y (- 2 x)))) (/ 1 (- 2 x)))))>
Calls

51 calls:

TimeVariablePointExpression
28.0ms
x
@0
(/ (- x y) (neg x))
4.0ms
x
@inf
(/ (- x y) (neg x))
1.0ms
y
@inf
(/ (- x y) (neg x))
1.0ms
y
@0
(/ (- 2 (+ x y)) (- x y))
0.0ms
x
@0
(/ (- 2 (+ x y)) (- x y))

rewrite458.0ms (4.3%)

Memory
7.2MiB live, 413.4MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
4 392×lower-/.f32
4 382×lower-/.f64
4 260×lower-fma.f64
4 260×lower-fma.f32
4 024×lower-*.f64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01454
02454
111752
296551
0863251
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
10 → 983
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 2 binary64) (+.f64 x y)) (-.f64 x y)))
(/.f64 (-.f64 #s(literal 2 binary64) (+.f64 x y)) (-.f64 x y))
(-.f64 #s(literal 2 binary64) (+.f64 x y))
(+.f64 x y)
(/.f64 x (-.f64 #s(literal 2 binary64) x))
(-.f64 #s(literal 2 binary64) x)
(/.f64 (-.f64 x y) (neg.f64 x))
(-.f64 x y)
(neg.f64 x)
(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) x))
Outputs
(+.f64 (/.f64 x (-.f64 #s(literal 2 binary64) (+.f64 x y))) (/.f64 (neg.f64 y) (-.f64 #s(literal 2 binary64) (+.f64 x y))))
(+.f64 (*.f64 (/.f64 #s(literal -1 binary64) (+.f64 (+.f64 x y) #s(literal -2 binary64))) x) (*.f64 (/.f64 #s(literal -1 binary64) (+.f64 (+.f64 x y) #s(literal -2 binary64))) (neg.f64 y)))
(+.f64 (*.f64 (/.f64 #s(literal -1 binary64) (+.f64 (+.f64 x y) #s(literal -2 binary64))) (neg.f64 y)) (*.f64 (/.f64 #s(literal -1 binary64) (+.f64 (+.f64 x y) #s(literal -2 binary64))) x))
(+.f64 (/.f64 (neg.f64 y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) (/.f64 x (-.f64 #s(literal 2 binary64) (+.f64 x y))))
(+.f64 (*.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (+.f64 (+.f64 x y) #s(literal -2 binary64))) x)) (*.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (+.f64 (+.f64 x y) #s(literal -2 binary64))) (neg.f64 y))))
(+.f64 (*.f64 #s(literal 1 binary64) (/.f64 x (-.f64 #s(literal 2 binary64) (+.f64 x y)))) (*.f64 #s(literal 1 binary64) (/.f64 (neg.f64 y) (-.f64 #s(literal 2 binary64) (+.f64 x y)))))
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 x y) #s(literal -2 binary64))) (neg.f64 x)) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 x y) #s(literal -2 binary64))) y))
(+.f64 (*.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 8 binary64) (*.f64 (+.f64 x y) (*.f64 (+.f64 x y) (+.f64 x y))))) #s(literal 4 binary64)) (*.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 8 binary64) (*.f64 (+.f64 x y) (*.f64 (+.f64 x y) (+.f64 x y))))) (*.f64 (+.f64 x y) (+.f64 #s(literal 2 binary64) (+.f64 x y)))))
(+.f64 (*.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 8 binary64) (*.f64 (+.f64 x y) (*.f64 (+.f64 x y) (+.f64 x y))))) (*.f64 (+.f64 x y) (+.f64 #s(literal 2 binary64) (+.f64 x y)))) (*.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 8 binary64) (*.f64 (+.f64 x y) (*.f64 (+.f64 x y) (+.f64 x y))))) #s(literal 4 binary64)))
(+.f64 (*.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 8 binary64) (*.f64 (+.f64 x y) (*.f64 (+.f64 x y) (+.f64 x y))))) (+.f64 #s(literal 4 binary64) (*.f64 (+.f64 x y) (+.f64 x y)))) (*.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 8 binary64) (*.f64 (+.f64 x y) (*.f64 (+.f64 x y) (+.f64 x y))))) (*.f64 #s(literal 2 binary64) (+.f64 x y))))
(+.f64 (*.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 4 binary64) (*.f64 (+.f64 x y) (+.f64 x y)))) #s(literal 2 binary64)) (*.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 4 binary64) (*.f64 (+.f64 x y) (+.f64 x y)))) (+.f64 x y)))
(+.f64 (*.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 4 binary64) (*.f64 (+.f64 x y) (+.f64 x y)))) (+.f64 x y)) (*.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 4 binary64) (*.f64 (+.f64 x y) (+.f64 x y)))) #s(literal 2 binary64)))
(+.f64 (*.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 4 binary64) (*.f64 (+.f64 x y) (+.f64 x y)))) (+.f64 #s(literal 2 binary64) x)) (*.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 4 binary64) (*.f64 (+.f64 x y) (+.f64 x y)))) y))
(+.f64 (*.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 4 binary64) (*.f64 (+.f64 x y) (+.f64 x y)))) (+.f64 #s(literal 2 binary64) y)) (*.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 4 binary64) (*.f64 (+.f64 x y) (+.f64 x y)))) x))
(+.f64 (*.f64 (*.f64 (/.f64 #s(literal -1 binary64) (+.f64 (+.f64 x y) #s(literal -2 binary64))) x) #s(literal 1 binary64)) (*.f64 (*.f64 (/.f64 #s(literal -1 binary64) (+.f64 (+.f64 x y) #s(literal -2 binary64))) (neg.f64 y)) #s(literal 1 binary64)))
(+.f64 (*.f64 (/.f64 x (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal 1 binary64)) (*.f64 (/.f64 (neg.f64 y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal 1 binary64)))
(+.f64 (*.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 x y) #s(literal -2 binary64)))) (*.f64 y (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 x y) #s(literal -2 binary64)))))
(+.f64 (*.f64 #s(literal 4 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 8 binary64) (*.f64 (+.f64 x y) (*.f64 (+.f64 x y) (+.f64 x y)))))) (*.f64 (*.f64 (+.f64 x y) (+.f64 #s(literal 2 binary64) (+.f64 x y))) (/.f64 (-.f64 x y) (-.f64 #s(literal 8 binary64) (*.f64 (+.f64 x y) (*.f64 (+.f64 x y) (+.f64 x y)))))))
(+.f64 (*.f64 (*.f64 (+.f64 x y) (+.f64 #s(literal 2 binary64) (+.f64 x y))) (/.f64 (-.f64 x y) (-.f64 #s(literal 8 binary64) (*.f64 (+.f64 x y) (*.f64 (+.f64 x y) (+.f64 x y)))))) (*.f64 #s(literal 4 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 8 binary64) (*.f64 (+.f64 x y) (*.f64 (+.f64 x y) (+.f64 x y)))))))
(+.f64 (*.f64 (+.f64 #s(literal 4 binary64) (*.f64 (+.f64 x y) (+.f64 x y))) (/.f64 (-.f64 x y) (-.f64 #s(literal 8 binary64) (*.f64 (+.f64 x y) (*.f64 (+.f64 x y) (+.f64 x y)))))) (*.f64 (*.f64 #s(literal 2 binary64) (+.f64 x y)) (/.f64 (-.f64 x y) (-.f64 #s(literal 8 binary64) (*.f64 (+.f64 x y) (*.f64 (+.f64 x y) (+.f64 x y)))))))
(+.f64 (*.f64 #s(literal 2 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 4 binary64) (*.f64 (+.f64 x y) (+.f64 x y))))) (*.f64 (+.f64 x y) (/.f64 (-.f64 x y) (-.f64 #s(literal 4 binary64) (*.f64 (+.f64 x y) (+.f64 x y))))))
(+.f64 (*.f64 (+.f64 x y) (/.f64 (-.f64 x y) (-.f64 #s(literal 4 binary64) (*.f64 (+.f64 x y) (+.f64 x y))))) (*.f64 #s(literal 2 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 4 binary64) (*.f64 (+.f64 x y) (+.f64 x y))))))
(+.f64 (*.f64 (+.f64 #s(literal 2 binary64) x) (/.f64 (-.f64 x y) (-.f64 #s(literal 4 binary64) (*.f64 (+.f64 x y) (+.f64 x y))))) (*.f64 y (/.f64 (-.f64 x y) (-.f64 #s(literal 4 binary64) (*.f64 (+.f64 x y) (+.f64 x y))))))
(+.f64 (*.f64 (+.f64 #s(literal 2 binary64) y) (/.f64 (-.f64 x y) (-.f64 #s(literal 4 binary64) (*.f64 (+.f64 x y) (+.f64 x y))))) (*.f64 x (/.f64 (-.f64 x y) (-.f64 #s(literal 4 binary64) (*.f64 (+.f64 x y) (+.f64 x y))))))
(exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 #s(literal 2 binary64) (+.f64 x y)) (-.f64 x y))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 (-.f64 x y) (+.f64 (+.f64 x y) #s(literal -2 binary64))))
(-.f64 (/.f64 x (-.f64 #s(literal 2 binary64) (+.f64 x y))) (/.f64 y (-.f64 #s(literal 2 binary64) (+.f64 x y))))
(-.f64 (/.f64 (/.f64 (*.f64 x (*.f64 x x)) (fma.f64 x x (*.f64 y (+.f64 x y)))) (-.f64 #s(literal 2 binary64) (+.f64 x y))) (/.f64 (/.f64 (*.f64 y (*.f64 y y)) (fma.f64 x x (*.f64 y (+.f64 x y)))) (-.f64 #s(literal 2 binary64) (+.f64 x y))))
(-.f64 (/.f64 (/.f64 (*.f64 x x) (+.f64 x y)) (-.f64 #s(literal 2 binary64) (+.f64 x y))) (/.f64 (/.f64 (*.f64 y y) (+.f64 x y)) (-.f64 #s(literal 2 binary64) (+.f64 x y))))
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 (+.f64 x y) #s(literal -2 binary64))) (/.f64 (-.f64 x y) (+.f64 (+.f64 x y) #s(literal -2 binary64))))
(-.f64 (/.f64 (*.f64 x (*.f64 x x)) (*.f64 (-.f64 #s(literal 2 binary64) (+.f64 x y)) (fma.f64 x x (*.f64 y (+.f64 x y))))) (/.f64 (*.f64 y (*.f64 y y)) (*.f64 (-.f64 #s(literal 2 binary64) (+.f64 x y)) (fma.f64 x x (*.f64 y (+.f64 x y))))))
(-.f64 (/.f64 (*.f64 x x) (*.f64 (-.f64 #s(literal 2 binary64) (+.f64 x y)) (+.f64 x y))) (/.f64 (*.f64 y y) (*.f64 (-.f64 #s(literal 2 binary64) (+.f64 x y)) (+.f64 x y))))
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(/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 x y)))
(/.f64 (*.f64 (+.f64 x y) (-.f64 x y)) (*.f64 (+.f64 x y) (-.f64 #s(literal 2 binary64) x)))
(/.f64 (*.f64 (+.f64 x y) (-.f64 x y)) (*.f64 (-.f64 #s(literal 2 binary64) x) (+.f64 x y)))
(/.f64 (+.f64 (-.f64 #s(literal 2 binary64) x) (*.f64 (/.f64 (+.f64 x #s(literal -2 binary64)) x) y)) (*.f64 (/.f64 (-.f64 #s(literal 2 binary64) x) x) (-.f64 #s(literal 2 binary64) x)))
(/.f64 (fma.f64 x (-.f64 #s(literal 2 binary64) x) (*.f64 (+.f64 x #s(literal -2 binary64)) y)) (*.f64 (-.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 2 binary64) x)))
(/.f64 (fma.f64 (neg.f64 x) (-.f64 #s(literal 2 binary64) x) (*.f64 (-.f64 #s(literal 2 binary64) x) y)) (*.f64 (+.f64 x #s(literal -2 binary64)) (-.f64 #s(literal 2 binary64) x)))
(/.f64 (*.f64 (+.f64 x y) (-.f64 y x)) (neg.f64 (*.f64 (-.f64 #s(literal 2 binary64) x) (+.f64 x y))))
(/.f64 (*.f64 (+.f64 x y) (-.f64 y x)) (neg.f64 (*.f64 (+.f64 x y) (-.f64 #s(literal 2 binary64) x))))
(/.f64 (*.f64 (fma.f64 x x (*.f64 y (+.f64 x y))) (-.f64 y x)) (neg.f64 (*.f64 (-.f64 #s(literal 2 binary64) x) (fma.f64 x x (*.f64 y (+.f64 x y))))))
(/.f64 (*.f64 (fma.f64 x x (*.f64 y (+.f64 x y))) (-.f64 y x)) (neg.f64 (*.f64 (fma.f64 x x (*.f64 y (+.f64 x y))) (-.f64 #s(literal 2 binary64) x))))
(/.f64 (-.f64 (/.f64 (*.f64 x (*.f64 x x)) (*.f64 (-.f64 #s(literal 2 binary64) x) (*.f64 (-.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 2 binary64) x)))) (/.f64 (*.f64 y (*.f64 y y)) (*.f64 (-.f64 #s(literal 2 binary64) x) (*.f64 (-.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 2 binary64) x))))) (fma.f64 (/.f64 x (-.f64 #s(literal 2 binary64) x)) (/.f64 x (-.f64 #s(literal 2 binary64) x)) (fma.f64 (/.f64 y (-.f64 #s(literal 2 binary64) x)) (/.f64 y (-.f64 #s(literal 2 binary64) x)) (*.f64 (/.f64 x (-.f64 #s(literal 2 binary64) x)) (/.f64 y (-.f64 #s(literal 2 binary64) x))))))
(/.f64 (*.f64 (+.f64 (/.f64 x (-.f64 #s(literal 2 binary64) x)) (/.f64 y (-.f64 #s(literal 2 binary64) x))) (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) x))) (+.f64 (/.f64 x (-.f64 #s(literal 2 binary64) x)) (/.f64 y (-.f64 #s(literal 2 binary64) x))))
(/.f64 (/.f64 (*.f64 (fma.f64 x x (*.f64 y (+.f64 x y))) (-.f64 x y)) (-.f64 #s(literal 2 binary64) x)) (fma.f64 x x (*.f64 y (+.f64 x y))))
(/.f64 (/.f64 (*.f64 (+.f64 x y) (-.f64 x y)) (-.f64 #s(literal 2 binary64) x)) (+.f64 x y))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 2 binary64) x) y)) (/.f64 (-.f64 #s(literal 2 binary64) x) x)) (*.f64 (/.f64 (-.f64 #s(literal 2 binary64) x) x) (/.f64 (-.f64 #s(literal 2 binary64) x) y)))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (+.f64 x #s(literal -2 binary64))) (*.f64 (/.f64 (-.f64 #s(literal 2 binary64) x) x) (neg.f64 y))) (*.f64 (/.f64 (-.f64 #s(literal 2 binary64) x) x) (+.f64 x #s(literal -2 binary64))))
(/.f64 (-.f64 (*.f64 x (/.f64 (-.f64 #s(literal 2 binary64) x) y)) (-.f64 #s(literal 2 binary64) x)) (*.f64 (-.f64 #s(literal 2 binary64) x) (/.f64 (-.f64 #s(literal 2 binary64) x) y)))
(/.f64 (-.f64 (*.f64 x (+.f64 x #s(literal -2 binary64))) (*.f64 (-.f64 #s(literal 2 binary64) x) (neg.f64 y))) (*.f64 (-.f64 #s(literal 2 binary64) x) (+.f64 x #s(literal -2 binary64))))
(/.f64 (-.f64 (*.f64 (neg.f64 x) (/.f64 (-.f64 #s(literal 2 binary64) x) y)) (*.f64 (+.f64 x #s(literal -2 binary64)) #s(literal 1 binary64))) (*.f64 (+.f64 x #s(literal -2 binary64)) (/.f64 (-.f64 #s(literal 2 binary64) x) y)))
(/.f64 (-.f64 (*.f64 (neg.f64 x) (+.f64 x #s(literal -2 binary64))) (*.f64 (+.f64 x #s(literal -2 binary64)) (neg.f64 y))) (*.f64 (+.f64 x #s(literal -2 binary64)) (+.f64 x #s(literal -2 binary64))))
(/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 2 binary64) x) y)) (*.f64 (/.f64 (+.f64 x #s(literal -2 binary64)) x) #s(literal 1 binary64))) (*.f64 (/.f64 (+.f64 x #s(literal -2 binary64)) x) (/.f64 (-.f64 #s(literal 2 binary64) x) y)))
(/.f64 (-.f64 (+.f64 x #s(literal -2 binary64)) (*.f64 (/.f64 (+.f64 x #s(literal -2 binary64)) x) y)) (*.f64 (/.f64 (+.f64 x #s(literal -2 binary64)) x) (-.f64 #s(literal 2 binary64) x)))
(/.f64 (-.f64 (-.f64 #s(literal 2 binary64) x) (*.f64 (/.f64 (+.f64 x #s(literal -2 binary64)) x) (neg.f64 y))) (*.f64 (/.f64 (+.f64 x #s(literal -2 binary64)) x) (+.f64 x #s(literal -2 binary64))))
(/.f64 (neg.f64 (+.f64 (-.f64 #s(literal 2 binary64) x) (*.f64 (/.f64 (+.f64 x #s(literal -2 binary64)) x) y))) (neg.f64 (*.f64 (/.f64 (-.f64 #s(literal 2 binary64) x) x) (-.f64 #s(literal 2 binary64) x))))
(/.f64 (neg.f64 (fma.f64 x (-.f64 #s(literal 2 binary64) x) (*.f64 (+.f64 x #s(literal -2 binary64)) y))) (*.f64 (+.f64 x #s(literal -2 binary64)) (-.f64 #s(literal 2 binary64) x)))
(/.f64 (neg.f64 (fma.f64 (neg.f64 x) (-.f64 #s(literal 2 binary64) x) (*.f64 (-.f64 #s(literal 2 binary64) x) y))) (neg.f64 (*.f64 (+.f64 x #s(literal -2 binary64)) (-.f64 #s(literal 2 binary64) x))))
(/.f64 (neg.f64 (-.f64 (/.f64 (*.f64 x (*.f64 x x)) (*.f64 (-.f64 #s(literal 2 binary64) x) (*.f64 (-.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 2 binary64) x)))) (/.f64 (*.f64 y (*.f64 y y)) (*.f64 (-.f64 #s(literal 2 binary64) x) (*.f64 (-.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 2 binary64) x)))))) (neg.f64 (fma.f64 (/.f64 x (-.f64 #s(literal 2 binary64) x)) (/.f64 x (-.f64 #s(literal 2 binary64) x)) (fma.f64 (/.f64 y (-.f64 #s(literal 2 binary64) x)) (/.f64 y (-.f64 #s(literal 2 binary64) x)) (*.f64 (/.f64 x (-.f64 #s(literal 2 binary64) x)) (/.f64 y (-.f64 #s(literal 2 binary64) x)))))))
(/.f64 (neg.f64 (*.f64 (+.f64 (/.f64 x (-.f64 #s(literal 2 binary64) x)) (/.f64 y (-.f64 #s(literal 2 binary64) x))) (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) x)))) (neg.f64 (+.f64 (/.f64 x (-.f64 #s(literal 2 binary64) x)) (/.f64 y (-.f64 #s(literal 2 binary64) x)))))
(/.f64 (neg.f64 (/.f64 (*.f64 (fma.f64 x x (*.f64 y (+.f64 x y))) (-.f64 x y)) (-.f64 #s(literal 2 binary64) x))) (neg.f64 (fma.f64 x x (*.f64 y (+.f64 x y)))))
(/.f64 (neg.f64 (/.f64 (*.f64 (+.f64 x y) (-.f64 x y)) (-.f64 #s(literal 2 binary64) x))) (-.f64 (neg.f64 x) y))
(/.f64 (+.f64 (/.f64 (*.f64 x (*.f64 x x)) (*.f64 (-.f64 #s(literal 2 binary64) x) (*.f64 (-.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 2 binary64) x)))) (pow.f64 (/.f64 y (+.f64 x #s(literal -2 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 x (-.f64 #s(literal 2 binary64) x)) (/.f64 x (-.f64 #s(literal 2 binary64) x)) (-.f64 (*.f64 (/.f64 y (+.f64 x #s(literal -2 binary64))) (/.f64 y (+.f64 x #s(literal -2 binary64)))) (*.f64 (/.f64 x (-.f64 #s(literal 2 binary64) x)) (/.f64 y (+.f64 x #s(literal -2 binary64)))))))
(/.f64 (-.f64 (*.f64 (/.f64 x (-.f64 #s(literal 2 binary64) x)) (/.f64 x (-.f64 #s(literal 2 binary64) x))) (*.f64 (/.f64 y (+.f64 x #s(literal -2 binary64))) (/.f64 y (+.f64 x #s(literal -2 binary64))))) (-.f64 (/.f64 x (-.f64 #s(literal 2 binary64) x)) (/.f64 y (+.f64 x #s(literal -2 binary64)))))
(pow.f64 (/.f64 (-.f64 #s(literal 2 binary64) x) (-.f64 x y)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) x)))
(*.f64 (-.f64 x y) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) x)))
(*.f64 #s(literal -1 binary64) (/.f64 (-.f64 x y) (+.f64 x #s(literal -2 binary64))))
(*.f64 (-.f64 y x) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 2 binary64) x)))
(*.f64 (*.f64 (fma.f64 x x (*.f64 y (+.f64 x y))) (-.f64 x y)) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 2 binary64) x) (fma.f64 x x (*.f64 y (+.f64 x y))))))
(*.f64 (*.f64 (fma.f64 x x (*.f64 y (+.f64 x y))) (-.f64 x y)) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x x (*.f64 y (+.f64 x y))) (-.f64 #s(literal 2 binary64) x))))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) x)) (-.f64 x y))
(*.f64 (*.f64 (+.f64 x y) (-.f64 x y)) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 2 binary64) x) (+.f64 x y))))
(*.f64 (*.f64 (+.f64 x y) (-.f64 x y)) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 x y) (-.f64 #s(literal 2 binary64) x))))
(*.f64 (+.f64 (-.f64 #s(literal 2 binary64) x) (*.f64 (/.f64 (+.f64 x #s(literal -2 binary64)) x) y)) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (-.f64 #s(literal 2 binary64) x) x) (-.f64 #s(literal 2 binary64) x))))
(*.f64 (fma.f64 x (-.f64 #s(literal 2 binary64) x) (*.f64 (+.f64 x #s(literal -2 binary64)) y)) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 2 binary64) x))))
(*.f64 (fma.f64 (neg.f64 x) (-.f64 #s(literal 2 binary64) x) (*.f64 (-.f64 #s(literal 2 binary64) x) y)) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 x #s(literal -2 binary64)) (-.f64 #s(literal 2 binary64) x))))
(*.f64 (-.f64 (/.f64 (*.f64 x (*.f64 x x)) (*.f64 (-.f64 #s(literal 2 binary64) x) (*.f64 (-.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 2 binary64) x)))) (/.f64 (*.f64 y (*.f64 y y)) (*.f64 (-.f64 #s(literal 2 binary64) x) (*.f64 (-.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 2 binary64) x))))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 x (-.f64 #s(literal 2 binary64) x)) (/.f64 x (-.f64 #s(literal 2 binary64) x)) (fma.f64 (/.f64 y (-.f64 #s(literal 2 binary64) x)) (/.f64 y (-.f64 #s(literal 2 binary64) x)) (*.f64 (/.f64 x (-.f64 #s(literal 2 binary64) x)) (/.f64 y (-.f64 #s(literal 2 binary64) x)))))))
(*.f64 (*.f64 (+.f64 (/.f64 x (-.f64 #s(literal 2 binary64) x)) (/.f64 y (-.f64 #s(literal 2 binary64) x))) (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) x))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 x (-.f64 #s(literal 2 binary64) x)) (/.f64 y (-.f64 #s(literal 2 binary64) x)))))
(*.f64 (/.f64 (*.f64 (fma.f64 x x (*.f64 y (+.f64 x y))) (-.f64 x y)) (-.f64 #s(literal 2 binary64) x)) (/.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 y (+.f64 x y)))))
(*.f64 (/.f64 (*.f64 (+.f64 x y) (-.f64 x y)) (-.f64 #s(literal 2 binary64) x)) (/.f64 #s(literal 1 binary64) (+.f64 x y)))
(*.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 8 binary64) (*.f64 x (*.f64 x x)))) (fma.f64 x (+.f64 #s(literal 2 binary64) x) #s(literal 4 binary64)))
(*.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 8 binary64) (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 #s(literal 2 binary64) x) #s(literal 4 binary64)))))
(*.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 4 binary64) (*.f64 x x))) (+.f64 #s(literal 2 binary64) x))
(*.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 4 binary64) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) x))))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 8 binary64) (*.f64 x (*.f64 x x)))) (/.f64 (-.f64 x y) (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 #s(literal 2 binary64) x) #s(literal 4 binary64)))))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 4 binary64) (*.f64 x x))) (/.f64 (-.f64 x y) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) x))))
(*.f64 (/.f64 (*.f64 (+.f64 x y) (-.f64 x y)) (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y)))) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) x)) (/.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 y (-.f64 y x))))))
(*.f64 (pow.f64 (/.f64 (-.f64 #s(literal 2 binary64) x) (*.f64 (fma.f64 x x (*.f64 y (+.f64 x y))) (-.f64 x y))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 y (+.f64 x y)))))
(*.f64 (pow.f64 (/.f64 (-.f64 #s(literal 2 binary64) x) (*.f64 (+.f64 x y) (-.f64 x y))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x y)))
(*.f64 (/.f64 (*.f64 (+.f64 x y) (-.f64 x y)) (/.f64 (*.f64 (+.f64 x y) (-.f64 x y)) (*.f64 (fma.f64 x x (*.f64 y (+.f64 x y))) (-.f64 x y)))) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) x)) (fma.f64 x x (*.f64 y (+.f64 x y)))))
(*.f64 (/.f64 (*.f64 (+.f64 x y) (-.f64 x y)) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) x)) (+.f64 x y)))
(*.f64 (/.f64 (*.f64 (fma.f64 x x (*.f64 y (+.f64 x y))) (-.f64 x y)) (-.f64 #s(literal 8 binary64) (*.f64 x (*.f64 x x)))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 y (+.f64 x y)))) (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 #s(literal 2 binary64) x) #s(literal 4 binary64)))))
(*.f64 (/.f64 (*.f64 (fma.f64 x x (*.f64 y (+.f64 x y))) (-.f64 x y)) (-.f64 #s(literal 4 binary64) (*.f64 x x))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 y (+.f64 x y)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) x))))
(*.f64 (/.f64 (*.f64 (+.f64 x y) (-.f64 x y)) (-.f64 #s(literal 8 binary64) (*.f64 x (*.f64 x x)))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x y)) (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 #s(literal 2 binary64) x) #s(literal 4 binary64)))))
(*.f64 (/.f64 (*.f64 (+.f64 x y) (-.f64 x y)) (-.f64 #s(literal 4 binary64) (*.f64 x x))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x y)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) x))))
(*.f64 (/.f64 (/.f64 (*.f64 (+.f64 x y) (-.f64 x y)) (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y)))) (-.f64 #s(literal 8 binary64) (*.f64 x (*.f64 x x)))) (/.f64 (fma.f64 x x (*.f64 y (-.f64 y x))) (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 #s(literal 2 binary64) x) #s(literal 4 binary64)))))
(*.f64 (/.f64 (/.f64 (*.f64 (+.f64 x y) (-.f64 x y)) (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y)))) (-.f64 #s(literal 4 binary64) (*.f64 x x))) (/.f64 (fma.f64 x x (*.f64 y (-.f64 y x))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) x))))
(*.f64 (/.f64 (fma.f64 x x (*.f64 y (+.f64 x y))) (-.f64 #s(literal 2 binary64) x)) (/.f64 (-.f64 x y) (fma.f64 x x (*.f64 y (+.f64 x y)))))
(*.f64 (/.f64 (+.f64 x y) (-.f64 #s(literal 2 binary64) x)) (/.f64 (-.f64 x y) (+.f64 x y)))
(*.f64 (pow.f64 (/.f64 (-.f64 #s(literal 2 binary64) x) (-.f64 x y)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (-.f64 #s(literal 2 binary64) x) (-.f64 x y)) #s(literal -1/2 binary64)))

simplify1.2s (11.4%)

Memory
0.5MiB live, 427.6MiB allocated
Algorithm
1×egg-herbie
Rules
8 916×lower-fma.f64
8 916×lower-fma.f32
5 210×lower-*.f64
5 210×lower-*.f32
4 536×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04132119
112931970
240591931
090201812
Stop Event
1×iter limit
1×node limit
Counts
204 → 195
Calls
Call 1
Inputs
(* -1 (/ y (- 2 y)))
(+ (* -1 (/ y (- 2 y))) (* x (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2)))))
(+ (* -1 (/ y (- 2 y))) (* x (- (+ (/ 1 (- 2 y)) (/ (* x (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2)))) (- 2 y))) (/ y (pow (- 2 y) 2)))))
(+ (* -1 (/ y (- 2 y))) (* x (- (+ (* x (- (/ (* x (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2)))) (pow (- 2 y) 2)) (* -1 (/ (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2))) (- 2 y))))) (/ 1 (- 2 y))) (/ y (pow (- 2 y) 2)))))
-1
(- (* 2 (/ y x)) (+ 1 (* 2 (/ 1 x))))
(- (+ (* 2 (/ y x)) (/ (* (- 2 y) (- (* 2 y) 2)) (pow x 2))) (+ 1 (* 2 (/ 1 x))))
(- (+ (* 2 (/ y x)) (/ (* (pow (- 2 y) 2) (- (* 2 y) 2)) (pow x 3))) (+ 1 (+ (* -1 (/ (* (- 2 y) (- (* 2 y) 2)) (pow x 2))) (* 2 (/ 1 x)))))
-1
(- (* 2 (/ y x)) (+ 1 (* 2 (/ 1 x))))
(- (* -1 (/ (+ (* -1 (- (* 2 y) 2)) (* -1 (/ (* (- 2 y) (- (* 2 y) 2)) x))) x)) 1)
(- (* -1 (/ (+ (* -1 (- (* 2 y) 2)) (* -1 (/ (+ (* (- 2 y) (- (* 2 y) 2)) (/ (* (pow (- 2 y) 2) (- (* 2 y) 2)) x)) x))) x)) 1)
(/ x (- 2 x))
(+ (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x)))
(+ (* y (- (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 3))) (/ 1 (pow (- 2 x) 2))))) (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x)))
(+ (* y (- (* y (- (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 4))) (/ 1 (pow (- 2 x) 3))))) (+ (* -1 (/ x (pow (- 2 x) 3))) (/ 1 (pow (- 2 x) 2))))) (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x)))
1
(- (+ 1 (* -1 (/ x y))) (* -1 (/ (- 2 x) y)))
(- (+ 1 (+ (* -1 (/ x y)) (/ (* (- 2 x) (- (* -1 x) (* -1 (- 2 x)))) (pow y 2)))) (* -1 (/ (- 2 x) y)))
(- (+ 1 (+ (* -1 (/ x y)) (/ (* (pow (- 2 x) 2) (- (* -1 x) (* -1 (- 2 x)))) (pow y 3)))) (+ (* -1 (/ (* (- 2 x) (- (* -1 x) (* -1 (- 2 x)))) (pow y 2))) (* -1 (/ (- 2 x) y))))
1
(+ 1 (* -1 (/ (- (* 2 x) 2) y)))
(+ 1 (* -1 (/ (- (+ (* 2 x) (/ (* (- 2 x) (- (* 2 x) 2)) y)) 2) y)))
(+ 1 (* -1 (/ (- (+ (* -1 (/ (- (* -1 (/ (* (pow (- 2 x) 2) (- (* 2 x) 2)) y)) (* (- 2 x) (- (* 2 x) 2))) y)) (* 2 x)) 2) y)))
(* -1 (/ (- 2 y) y))
(+ (* -1 (/ (- 2 y) y)) (* x (- (* 2 (/ 1 y)) (* 2 (/ 1 (pow y 2))))))
(+ (* -1 (/ (- 2 y) y)) (* x (- (+ (* 2 (/ 1 y)) (/ (* x (- (* 2 (/ 1 y)) (* 2 (/ 1 (pow y 2))))) y)) (* 2 (/ 1 (pow y 2))))))
(+ (* -1 (/ (- 2 y) y)) (* x (- (+ (* 2 (/ 1 y)) (* x (- (/ (* x (- (* 2 (/ 1 y)) (* 2 (/ 1 (pow y 2))))) (pow y 2)) (* -1 (/ (- (* 2 (/ 1 y)) (* 2 (/ 1 (pow y 2)))) y))))) (* 2 (/ 1 (pow y 2))))))
-1
(- (* 2 (/ 1 x)) (+ 1 (* 2 (/ y x))))
(- (+ (* 2 (/ 1 x)) (/ (* y (- 2 (* 2 y))) (pow x 2))) (+ 1 (* 2 (/ y x))))
(- (+ (* 2 (/ 1 x)) (/ (* (pow y 2) (- 2 (* 2 y))) (pow x 3))) (+ 1 (+ (* -1 (/ (* y (- 2 (* 2 y))) (pow x 2))) (* 2 (/ y x)))))
-1
(- (* 2 (/ 1 x)) (+ 1 (* 2 (/ y x))))
(- (* -1 (/ (+ (* -1 (- 2 (* 2 y))) (* -1 (/ (* y (- 2 (* 2 y))) x))) x)) 1)
(- (* -1 (/ (+ (* -1 (- 2 (* 2 y))) (* -1 (/ (+ (* y (- 2 (* 2 y))) (/ (* (pow y 2) (- 2 (* 2 y))) x)) x))) x)) 1)
(/ (- 2 x) x)
(- (+ (* -1 (* y (+ (* -1 (/ (- 2 x) (pow x 2))) (/ 1 x)))) (* 2 (/ 1 x))) 1)
(- (+ (* y (- (* -1 (* y (+ (* -1 (/ (- 2 x) (pow x 3))) (/ 1 (pow x 2))))) (+ (* -1 (/ (- 2 x) (pow x 2))) (/ 1 x)))) (* 2 (/ 1 x))) 1)
(- (+ (* y (- (* y (- (* -1 (* y (+ (* -1 (/ (- 2 x) (pow x 4))) (/ 1 (pow x 3))))) (+ (* -1 (/ (- 2 x) (pow x 3))) (/ 1 (pow x 2))))) (+ (* -1 (/ (- 2 x) (pow x 2))) (/ 1 x)))) (* 2 (/ 1 x))) 1)
1
(- (+ 1 (* -1 (/ (- 2 x) y))) (* -1 (/ x y)))
(- (+ 1 (+ (* -1 (/ (- 2 x) y)) (/ (* x (- (* -1 (- 2 x)) (* -1 x))) (pow y 2)))) (* -1 (/ x y)))
(- (+ 1 (+ (* -1 (/ (- 2 x) y)) (/ (* (pow x 2) (- (* -1 (- 2 x)) (* -1 x))) (pow y 3)))) (+ (* -1 (/ x y)) (* -1 (/ (* x (- (* -1 (- 2 x)) (* -1 x))) (pow y 2)))))
1
(+ 1 (* -1 (/ (- 2 (* 2 x)) y)))
(+ 1 (* -1 (/ (- (+ 2 (/ (* x (- 2 (* 2 x))) y)) (* 2 x)) y)))
(+ 1 (* -1 (/ (- (+ 2 (* -1 (/ (- (* -1 (/ (* (pow x 2) (- 2 (* 2 x))) y)) (* x (- 2 (* 2 x)))) y))) (* 2 x)) y)))
(- 2 y)
(- (+ 2 (* -1 x)) y)
(- (+ 2 (* -1 x)) y)
(- (+ 2 (* -1 x)) y)
(* -1 x)
(* x (- (* 2 (/ 1 x)) (+ 1 (/ y x))))
(* x (- (* 2 (/ 1 x)) (+ 1 (/ y x))))
(* x (- (* 2 (/ 1 x)) (+ 1 (/ y x))))
(* -1 x)
(* -1 (* x (+ 1 (* -1 (/ (- 2 y) x)))))
(* -1 (* x (+ 1 (* -1 (/ (- 2 y) x)))))
(* -1 (* x (+ 1 (* -1 (/ (- 2 y) x)))))
(- 2 x)
(- (+ 2 (* -1 y)) x)
(- (+ 2 (* -1 y)) x)
(- (+ 2 (* -1 y)) x)
(* -1 y)
(* y (- (* 2 (/ 1 y)) (+ 1 (/ x y))))
(* y (- (* 2 (/ 1 y)) (+ 1 (/ x y))))
(* y (- (* 2 (/ 1 y)) (+ 1 (/ x y))))
(* -1 y)
(* -1 (* y (+ 1 (* -1 (/ (- 2 x) y)))))
(* -1 (* y (+ 1 (* -1 (/ (- 2 x) y)))))
(* -1 (* y (+ 1 (* -1 (/ (- 2 x) y)))))
y
(+ x y)
(+ x y)
(+ x y)
x
(* x (+ 1 (/ y x)))
(* x (+ 1 (/ y x)))
(* x (+ 1 (/ y x)))
x
(* -1 (* x (- (* -1 (/ y x)) 1)))
(* -1 (* x (- (* -1 (/ y x)) 1)))
(* -1 (* x (- (* -1 (/ y x)) 1)))
x
(+ x y)
(+ x y)
(+ x y)
y
(* y (+ 1 (/ x y)))
(* y (+ 1 (/ x y)))
(* y (+ 1 (/ x y)))
y
(* -1 (* y (- (* -1 (/ x y)) 1)))
(* -1 (* y (- (* -1 (/ x y)) 1)))
(* -1 (* y (- (* -1 (/ x y)) 1)))
(* 1/2 x)
(* x (+ 1/2 (* 1/4 x)))
(* x (+ 1/2 (* x (+ 1/4 (* 1/8 x)))))
(* x (+ 1/2 (* x (+ 1/4 (* x (+ 1/8 (* 1/16 x)))))))
-1
(* -1 (+ 1 (* 2 (/ 1 x))))
(- (* -1 (/ (+ 2 (* 4 (/ 1 x))) x)) 1)
(- (* -1 (/ (+ 4 (* 8 (/ 1 x))) (pow x 2))) (+ 1 (* 2 (/ 1 x))))
-1
(* -1 (+ 1 (* 2 (/ 1 x))))
(- (* -1 (/ (+ 2 (* 4 (/ 1 x))) x)) 1)
(- (* -1 (/ (+ 2 (+ (* 4 (/ 1 x)) (/ 8 (pow x 2)))) x)) 1)
2
(+ 2 (* -1 x))
(+ 2 (* -1 x))
(+ 2 (* -1 x))
(* -1 x)
(* x (- (* 2 (/ 1 x)) 1))
(* x (- (* 2 (/ 1 x)) 1))
(* x (- (* 2 (/ 1 x)) 1))
(* -1 x)
(* -1 (* x (- 1 (* 2 (/ 1 x)))))
(* -1 (* x (- 1 (* 2 (/ 1 x)))))
(* -1 (* x (- 1 (* 2 (/ 1 x)))))
(/ y x)
(/ (+ y (* -1 x)) x)
(/ (+ y (* -1 x)) x)
(/ (+ y (* -1 x)) x)
-1
(- (/ y x) 1)
(- (/ y x) 1)
(- (/ y x) 1)
-1
(- (/ y x) 1)
(- (/ y x) 1)
(- (/ y x) 1)
-1
(- (/ y x) 1)
(- (/ y x) 1)
(- (/ y x) 1)
(/ y x)
(* y (- (/ 1 x) (/ 1 y)))
(* y (- (/ 1 x) (/ 1 y)))
(* y (- (/ 1 x) (/ 1 y)))
(/ y x)
(* -1 (* y (- (/ 1 y) (/ 1 x))))
(* -1 (* y (- (/ 1 y) (/ 1 x))))
(* -1 (* y (- (/ 1 y) (/ 1 x))))
(* -1 y)
(- x y)
(- x y)
(- x y)
x
(* x (+ 1 (* -1 (/ y x))))
(* x (+ 1 (* -1 (/ y x))))
(* x (+ 1 (* -1 (/ y x))))
x
(* -1 (* x (- (/ y x) 1)))
(* -1 (* x (- (/ y x) 1)))
(* -1 (* x (- (/ y x) 1)))
x
(+ x (* -1 y))
(+ x (* -1 y))
(+ x (* -1 y))
(* -1 y)
(* y (- (/ x y) 1))
(* y (- (/ x y) 1))
(* y (- (/ x y) 1))
(* -1 y)
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1/2 y)
(+ (* -1/2 y) (* x (- 1/2 (* 1/4 y))))
(+ (* -1/2 y) (* x (- (+ 1/2 (* 1/2 (* x (- 1/2 (* 1/4 y))))) (* 1/4 y))))
(+ (* -1/2 y) (* x (- (+ 1/2 (* x (- (* 1/4 (* x (- 1/2 (* 1/4 y)))) (* -1/2 (- 1/2 (* 1/4 y)))))) (* 1/4 y))))
-1
(- (/ y x) (+ 1 (* 2 (/ 1 x))))
(- (+ (* 2 (/ (- y 2) (pow x 2))) (/ y x)) (+ 1 (* 2 (/ 1 x))))
(- (+ (* 4 (/ (- y 2) (pow x 3))) (/ y x)) (+ 1 (+ (* -2 (/ (- y 2) (pow x 2))) (* 2 (/ 1 x)))))
-1
(- (/ y x) (+ 1 (* 2 (/ 1 x))))
(- (* -1 (/ (+ (* -2 (/ (- y 2) x)) (* -1 (- y 2))) x)) 1)
(- (* -1 (/ (+ (* -1 (- y 2)) (* -1 (/ (+ (* 2 (- y 2)) (* 4 (/ (- y 2) x))) x))) x)) 1)
(/ x (- 2 x))
(+ (* -1 (/ y (- 2 x))) (/ x (- 2 x)))
(+ (* -1 (/ y (- 2 x))) (/ x (- 2 x)))
(+ (* -1 (/ y (- 2 x))) (/ x (- 2 x)))
(* -1 (/ y (- 2 x)))
(* y (- (/ x (* y (- 2 x))) (/ 1 (- 2 x))))
(* y (- (/ x (* y (- 2 x))) (/ 1 (- 2 x))))
(* y (- (/ x (* y (- 2 x))) (/ 1 (- 2 x))))
(* -1 (/ y (- 2 x)))
(* -1 (* y (+ (* -1 (/ x (* y (- 2 x)))) (/ 1 (- 2 x)))))
(* -1 (* y (+ (* -1 (/ x (* y (- 2 x)))) (/ 1 (- 2 x)))))
(* -1 (* y (+ (* -1 (/ x (* y (- 2 x)))) (/ 1 (- 2 x)))))
Outputs
(* -1 (/ y (- 2 y)))
(/.f64 y (+.f64 y #s(literal -2 binary64)))
(+ (* -1 (/ y (- 2 y))) (* x (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2)))))
(fma.f64 x (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) y)) (/.f64 y (*.f64 (-.f64 #s(literal 2 binary64) y) (-.f64 #s(literal 2 binary64) y)))) (/.f64 y (+.f64 y #s(literal -2 binary64))))
(+ (* -1 (/ y (- 2 y))) (* x (- (+ (/ 1 (- 2 y)) (/ (* x (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2)))) (- 2 y))) (/ y (pow (- 2 y) 2)))))
(fma.f64 x (+.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) y)) (/.f64 y (*.f64 (-.f64 #s(literal 2 binary64) y) (-.f64 #s(literal 2 binary64) y)))) (/.f64 x (-.f64 #s(literal 2 binary64) y)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) y))) (/.f64 y (*.f64 (-.f64 #s(literal 2 binary64) y) (+.f64 y #s(literal -2 binary64))))) (/.f64 y (+.f64 y #s(literal -2 binary64))))
(+ (* -1 (/ y (- 2 y))) (* x (- (+ (* x (- (/ (* x (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2)))) (pow (- 2 y) 2)) (* -1 (/ (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2))) (- 2 y))))) (/ 1 (- 2 y))) (/ y (pow (- 2 y) 2)))))
(fma.f64 x (+.f64 (fma.f64 x (fma.f64 x (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) y)) (/.f64 y (*.f64 (-.f64 #s(literal 2 binary64) y) (-.f64 #s(literal 2 binary64) y)))) (*.f64 (-.f64 #s(literal 2 binary64) y) (-.f64 #s(literal 2 binary64) y))) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) y)) (/.f64 y (*.f64 (-.f64 #s(literal 2 binary64) y) (-.f64 #s(literal 2 binary64) y)))) (-.f64 #s(literal 2 binary64) y))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) y))) (/.f64 y (*.f64 (-.f64 #s(literal 2 binary64) y) (+.f64 y #s(literal -2 binary64))))) (/.f64 y (+.f64 y #s(literal -2 binary64))))
-1
#s(literal -1 binary64)
(- (* 2 (/ y x)) (+ 1 (* 2 (/ 1 x))))
(+.f64 (/.f64 (fma.f64 y #s(literal 2 binary64) #s(literal -2 binary64)) x) #s(literal -1 binary64))
(- (+ (* 2 (/ y x)) (/ (* (- 2 y) (- (* 2 y) 2)) (pow x 2))) (+ 1 (* 2 (/ 1 x))))
(fma.f64 (-.f64 #s(literal 2 binary64) y) (/.f64 (fma.f64 y #s(literal 2 binary64) #s(literal -2 binary64)) (*.f64 x x)) (+.f64 (/.f64 (fma.f64 y #s(literal 2 binary64) #s(literal -2 binary64)) x) #s(literal -1 binary64)))
(- (+ (* 2 (/ y x)) (/ (* (pow (- 2 y) 2) (- (* 2 y) 2)) (pow x 3))) (+ 1 (+ (* -1 (/ (* (- 2 y) (- (* 2 y) 2)) (pow x 2))) (* 2 (/ 1 x)))))
(fma.f64 (-.f64 #s(literal 2 binary64) y) (*.f64 (-.f64 #s(literal 2 binary64) y) (/.f64 (fma.f64 y #s(literal 2 binary64) #s(literal -2 binary64)) (*.f64 x (*.f64 x x)))) (fma.f64 (-.f64 #s(literal 2 binary64) y) (/.f64 (fma.f64 y #s(literal 2 binary64) #s(literal -2 binary64)) (*.f64 x x)) (+.f64 (/.f64 (fma.f64 y #s(literal 2 binary64) #s(literal -2 binary64)) x) #s(literal -1 binary64))))
-1
#s(literal -1 binary64)
(- (* 2 (/ y x)) (+ 1 (* 2 (/ 1 x))))
(+.f64 (/.f64 (fma.f64 y #s(literal 2 binary64) #s(literal -2 binary64)) x) #s(literal -1 binary64))
(- (* -1 (/ (+ (* -1 (- (* 2 y) 2)) (* -1 (/ (* (- 2 y) (- (* 2 y) 2)) x))) x)) 1)
(+.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (-.f64 #s(literal 2 binary64) y) (/.f64 (fma.f64 y #s(literal 2 binary64) #s(literal -2 binary64)) x) (fma.f64 y #s(literal 2 binary64) #s(literal -2 binary64))) x))
(- (* -1 (/ (+ (* -1 (- (* 2 y) 2)) (* -1 (/ (+ (* (- 2 y) (- (* 2 y) 2)) (/ (* (pow (- 2 y) 2) (- (* 2 y) 2)) x)) x))) x)) 1)
(+.f64 #s(literal -1 binary64) (/.f64 (+.f64 (fma.f64 y #s(literal 2 binary64) #s(literal -2 binary64)) (/.f64 (fma.f64 (-.f64 #s(literal 2 binary64) y) (fma.f64 y #s(literal 2 binary64) #s(literal -2 binary64)) (*.f64 (-.f64 #s(literal 2 binary64) y) (/.f64 (*.f64 (-.f64 #s(literal 2 binary64) y) (fma.f64 y #s(literal 2 binary64) #s(literal -2 binary64))) x))) x)) x))
(/ x (- 2 x))
(/.f64 x (-.f64 #s(literal 2 binary64) x))
(+ (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x)))
(+.f64 (/.f64 x (-.f64 #s(literal 2 binary64) x)) (fma.f64 y (/.f64 x (*.f64 (-.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 2 binary64) x))) (/.f64 y (+.f64 x #s(literal -2 binary64)))))
(+ (* y (- (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 3))) (/ 1 (pow (- 2 x) 2))))) (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x)))
(fma.f64 y (+.f64 (fma.f64 y (/.f64 x (*.f64 (-.f64 #s(literal 2 binary64) x) (*.f64 (-.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 2 binary64) x)))) (/.f64 y (*.f64 (-.f64 #s(literal 2 binary64) x) (+.f64 x #s(literal -2 binary64))))) (+.f64 (/.f64 x (*.f64 (-.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 2 binary64) x))) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 2 binary64) x)))) (/.f64 x (-.f64 #s(literal 2 binary64) x)))
(+ (* y (- (* y (- (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 4))) (/ 1 (pow (- 2 x) 3))))) (+ (* -1 (/ x (pow (- 2 x) 3))) (/ 1 (pow (- 2 x) 2))))) (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x)))
(fma.f64 y (fma.f64 y (+.f64 (fma.f64 y (/.f64 x (pow.f64 (-.f64 #s(literal 2 binary64) x) #s(literal 4 binary64))) (/.f64 y (*.f64 (-.f64 #s(literal 2 binary64) x) (*.f64 (-.f64 #s(literal 2 binary64) x) (+.f64 x #s(literal -2 binary64)))))) (+.f64 (/.f64 x (*.f64 (-.f64 #s(literal 2 binary64) x) (*.f64 (-.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 2 binary64) x)))) (/.f64 #s(literal -1 binary64) (*.f64 (-.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 2 binary64) x))))) (+.f64 (/.f64 x (*.f64 (-.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 2 binary64) x))) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 2 binary64) x)))) (/.f64 x (-.f64 #s(literal 2 binary64) x)))
1
#s(literal 1 binary64)
(- (+ 1 (* -1 (/ x y))) (* -1 (/ (- 2 x) y)))
(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 2 binary64) (+.f64 x x)) y))
(- (+ 1 (+ (* -1 (/ x y)) (/ (* (- 2 x) (- (* -1 x) (* -1 (- 2 x)))) (pow y 2)))) (* -1 (/ (- 2 x) y)))
(+.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 2 binary64) x) (/.f64 (-.f64 #s(literal 2 binary64) (+.f64 x x)) (*.f64 y y)) (/.f64 (-.f64 #s(literal 2 binary64) (+.f64 x x)) y)))
(- (+ 1 (+ (* -1 (/ x y)) (/ (* (pow (- 2 x) 2) (- (* -1 x) (* -1 (- 2 x)))) (pow y 3)))) (+ (* -1 (/ (* (- 2 x) (- (* -1 x) (* -1 (- 2 x)))) (pow y 2))) (* -1 (/ (- 2 x) y))))
(+.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (-.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 2 binary64) x)) (/.f64 (-.f64 #s(literal 2 binary64) (+.f64 x x)) (*.f64 y (*.f64 y y))) (fma.f64 (-.f64 #s(literal 2 binary64) x) (/.f64 (-.f64 #s(literal 2 binary64) (+.f64 x x)) (*.f64 y y)) (/.f64 (-.f64 #s(literal 2 binary64) (+.f64 x x)) y))))
1
#s(literal 1 binary64)
(+ 1 (* -1 (/ (- (* 2 x) 2) y)))
(+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 2 binary64)) y))
(+ 1 (* -1 (/ (- (+ (* 2 x) (/ (* (- 2 x) (- (* 2 x) 2)) y)) 2) y)))
(+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (-.f64 #s(literal 2 binary64) x) (/.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 2 binary64)) y) (fma.f64 x #s(literal -2 binary64) #s(literal 2 binary64))) y))
(+ 1 (* -1 (/ (- (+ (* -1 (/ (- (* -1 (/ (* (pow (- 2 x) 2) (- (* 2 x) 2)) y)) (* (- 2 x) (- (* 2 x) 2))) y)) (* 2 x)) 2) y)))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (fma.f64 (-.f64 #s(literal 2 binary64) x) (fma.f64 x #s(literal -2 binary64) #s(literal 2 binary64)) (*.f64 (-.f64 #s(literal 2 binary64) x) (*.f64 (-.f64 #s(literal 2 binary64) x) (/.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 2 binary64)) y)))) y) (fma.f64 x #s(literal -2 binary64) #s(literal 2 binary64))) y))
(* -1 (/ (- 2 y) y))
(+.f64 (/.f64 #s(literal -2 binary64) y) #s(literal 1 binary64))
(+ (* -1 (/ (- 2 y) y)) (* x (- (* 2 (/ 1 y)) (* 2 (/ 1 (pow y 2))))))
(fma.f64 x (+.f64 (/.f64 #s(literal 2 binary64) y) (/.f64 #s(literal -2 binary64) (*.f64 y y))) (+.f64 (/.f64 #s(literal -2 binary64) y) #s(literal 1 binary64)))
(+ (* -1 (/ (- 2 y) y)) (* x (- (+ (* 2 (/ 1 y)) (/ (* x (- (* 2 (/ 1 y)) (* 2 (/ 1 (pow y 2))))) y)) (* 2 (/ 1 (pow y 2))))))
(fma.f64 x (fma.f64 x (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 y y)) (/.f64 #s(literal -2 binary64) (*.f64 y (*.f64 y y)))) (+.f64 (/.f64 #s(literal 2 binary64) y) (/.f64 #s(literal -2 binary64) (*.f64 y y)))) (+.f64 (/.f64 #s(literal -2 binary64) y) #s(literal 1 binary64)))
(+ (* -1 (/ (- 2 y) y)) (* x (- (+ (* 2 (/ 1 y)) (* x (- (/ (* x (- (* 2 (/ 1 y)) (* 2 (/ 1 (pow y 2))))) (pow y 2)) (* -1 (/ (- (* 2 (/ 1 y)) (* 2 (/ 1 (pow y 2)))) y))))) (* 2 (/ 1 (pow y 2))))))
(fma.f64 x (fma.f64 x (fma.f64 (+.f64 (/.f64 #s(literal 2 binary64) y) (/.f64 #s(literal -2 binary64) (*.f64 y y))) (/.f64 x (*.f64 y y)) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 y y)) (/.f64 #s(literal -2 binary64) (*.f64 y (*.f64 y y))))) (+.f64 (/.f64 #s(literal 2 binary64) y) (/.f64 #s(literal -2 binary64) (*.f64 y y)))) (+.f64 (/.f64 #s(literal -2 binary64) y) #s(literal 1 binary64)))
-1
#s(literal -1 binary64)
(- (* 2 (/ 1 x)) (+ 1 (* 2 (/ y x))))
(+.f64 (/.f64 (fma.f64 y #s(literal -2 binary64) #s(literal 2 binary64)) x) #s(literal -1 binary64))
(- (+ (* 2 (/ 1 x)) (/ (* y (- 2 (* 2 y))) (pow x 2))) (+ 1 (* 2 (/ y x))))
(fma.f64 y (/.f64 (fma.f64 y #s(literal -2 binary64) #s(literal 2 binary64)) (*.f64 x x)) (+.f64 (/.f64 (fma.f64 y #s(literal -2 binary64) #s(literal 2 binary64)) x) #s(literal -1 binary64)))
(- (+ (* 2 (/ 1 x)) (/ (* (pow y 2) (- 2 (* 2 y))) (pow x 3))) (+ 1 (+ (* -1 (/ (* y (- 2 (* 2 y))) (pow x 2))) (* 2 (/ y x)))))
(fma.f64 (*.f64 y y) (/.f64 (fma.f64 y #s(literal -2 binary64) #s(literal 2 binary64)) (*.f64 x (*.f64 x x))) (fma.f64 y (/.f64 (fma.f64 y #s(literal -2 binary64) #s(literal 2 binary64)) (*.f64 x x)) (+.f64 (/.f64 (fma.f64 y #s(literal -2 binary64) #s(literal 2 binary64)) x) #s(literal -1 binary64))))
-1
#s(literal -1 binary64)
(- (* 2 (/ 1 x)) (+ 1 (* 2 (/ y x))))
(+.f64 (/.f64 (fma.f64 y #s(literal -2 binary64) #s(literal 2 binary64)) x) #s(literal -1 binary64))
(- (* -1 (/ (+ (* -1 (- 2 (* 2 y))) (* -1 (/ (* y (- 2 (* 2 y))) x))) x)) 1)
(+.f64 #s(literal -1 binary64) (/.f64 (fma.f64 y (/.f64 (fma.f64 y #s(literal -2 binary64) #s(literal 2 binary64)) x) (fma.f64 y #s(literal -2 binary64) #s(literal 2 binary64))) x))
(- (* -1 (/ (+ (* -1 (- 2 (* 2 y))) (* -1 (/ (+ (* y (- 2 (* 2 y))) (/ (* (pow y 2) (- 2 (* 2 y))) x)) x))) x)) 1)
(+.f64 #s(literal -1 binary64) (/.f64 (+.f64 (fma.f64 y #s(literal -2 binary64) #s(literal 2 binary64)) (/.f64 (fma.f64 y (fma.f64 y #s(literal -2 binary64) #s(literal 2 binary64)) (*.f64 (*.f64 y y) (/.f64 (fma.f64 y #s(literal -2 binary64) #s(literal 2 binary64)) x))) x)) x))
(/ (- 2 x) x)
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) x))
(- (+ (* -1 (* y (+ (* -1 (/ (- 2 x) (pow x 2))) (/ 1 x)))) (* 2 (/ 1 x))) 1)
(-.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) x)) (fma.f64 y (/.f64 (+.f64 x #s(literal -2 binary64)) (*.f64 x x)) (/.f64 y x)))
(- (+ (* y (- (* -1 (* y (+ (* -1 (/ (- 2 x) (pow x 3))) (/ 1 (pow x 2))))) (+ (* -1 (/ (- 2 x) (pow x 2))) (/ 1 x)))) (* 2 (/ 1 x))) 1)
(+.f64 (/.f64 #s(literal 2 binary64) x) (fma.f64 y (+.f64 (fma.f64 y (+.f64 (/.f64 (-.f64 #s(literal 2 binary64) x) (*.f64 x (*.f64 x x))) (/.f64 #s(literal -1 binary64) (*.f64 x x))) (/.f64 (-.f64 #s(literal 2 binary64) x) (*.f64 x x))) (/.f64 #s(literal -1 binary64) x)) #s(literal -1 binary64)))
(- (+ (* y (- (* y (- (* -1 (* y (+ (* -1 (/ (- 2 x) (pow x 4))) (/ 1 (pow x 3))))) (+ (* -1 (/ (- 2 x) (pow x 3))) (/ 1 (pow x 2))))) (+ (* -1 (/ (- 2 x) (pow x 2))) (/ 1 x)))) (* 2 (/ 1 x))) 1)
(fma.f64 y (+.f64 (fma.f64 y (-.f64 (+.f64 (/.f64 (-.f64 #s(literal 2 binary64) x) (*.f64 x (*.f64 x x))) (/.f64 #s(literal -1 binary64) (*.f64 x x))) (fma.f64 y (/.f64 (+.f64 x #s(literal -2 binary64)) (pow.f64 x #s(literal 4 binary64))) (/.f64 y (*.f64 x (*.f64 x x))))) (/.f64 #s(literal -1 binary64) x)) (/.f64 (-.f64 #s(literal 2 binary64) x) (*.f64 x x))) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) x)))
1
#s(literal 1 binary64)
(- (+ 1 (* -1 (/ (- 2 x) y))) (* -1 (/ x y)))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -2 binary64) (+.f64 x x)) y))
(- (+ 1 (+ (* -1 (/ (- 2 x) y)) (/ (* x (- (* -1 (- 2 x)) (* -1 x))) (pow y 2)))) (* -1 (/ x y)))
(+.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal -2 binary64) (+.f64 x x)) (/.f64 x (*.f64 y y)) (/.f64 (+.f64 #s(literal -2 binary64) (+.f64 x x)) y)))
(- (+ 1 (+ (* -1 (/ (- 2 x) y)) (/ (* (pow x 2) (- (* -1 (- 2 x)) (* -1 x))) (pow y 3)))) (+ (* -1 (/ x y)) (* -1 (/ (* x (- (* -1 (- 2 x)) (* -1 x))) (pow y 2)))))
(+.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (/.f64 (+.f64 #s(literal -2 binary64) (+.f64 x x)) (*.f64 y (*.f64 y y))) (fma.f64 (+.f64 #s(literal -2 binary64) (+.f64 x x)) (/.f64 x (*.f64 y y)) (/.f64 (+.f64 #s(literal -2 binary64) (+.f64 x x)) y))))
1
#s(literal 1 binary64)
(+ 1 (* -1 (/ (- 2 (* 2 x)) y)))
(+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) y))
(+ 1 (* -1 (/ (- (+ 2 (/ (* x (- 2 (* 2 x))) y)) (* 2 x)) y)))
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (+.f64 (/.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 2 binary64)) y) #s(literal -2 binary64)) #s(literal 2 binary64)) y))
(+ 1 (* -1 (/ (- (+ 2 (* -1 (/ (- (* -1 (/ (* (pow x 2) (- 2 (* 2 x))) y)) (* x (- 2 (* 2 x)))) y))) (* 2 x)) y)))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (fma.f64 x (/.f64 (*.f64 x (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64))) y) (*.f64 x (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)))) y) (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64))) y))
(- 2 y)
(-.f64 #s(literal 2 binary64) y)
(- (+ 2 (* -1 x)) y)
(-.f64 #s(literal 2 binary64) (+.f64 y x))
(- (+ 2 (* -1 x)) y)
(-.f64 #s(literal 2 binary64) (+.f64 y x))
(- (+ 2 (* -1 x)) y)
(-.f64 #s(literal 2 binary64) (+.f64 y x))
(* -1 x)
(neg.f64 x)
(* x (- (* 2 (/ 1 x)) (+ 1 (/ y x))))
(fma.f64 x (/.f64 (-.f64 #s(literal 2 binary64) y) x) (neg.f64 x))
(* x (- (* 2 (/ 1 x)) (+ 1 (/ y x))))
(fma.f64 x (/.f64 (-.f64 #s(literal 2 binary64) y) x) (neg.f64 x))
(* x (- (* 2 (/ 1 x)) (+ 1 (/ y x))))
(fma.f64 x (/.f64 (-.f64 #s(literal 2 binary64) y) x) (neg.f64 x))
(* -1 x)
(neg.f64 x)
(* -1 (* x (+ 1 (* -1 (/ (- 2 y) x)))))
(fma.f64 x (/.f64 (-.f64 #s(literal 2 binary64) y) x) (neg.f64 x))
(* -1 (* x (+ 1 (* -1 (/ (- 2 y) x)))))
(fma.f64 x (/.f64 (-.f64 #s(literal 2 binary64) y) x) (neg.f64 x))
(* -1 (* x (+ 1 (* -1 (/ (- 2 y) x)))))
(fma.f64 x (/.f64 (-.f64 #s(literal 2 binary64) y) x) (neg.f64 x))
(- 2 x)
(-.f64 #s(literal 2 binary64) x)
(- (+ 2 (* -1 y)) x)
(-.f64 #s(literal 2 binary64) (+.f64 y x))
(- (+ 2 (* -1 y)) x)
(-.f64 #s(literal 2 binary64) (+.f64 y x))
(- (+ 2 (* -1 y)) x)
(-.f64 #s(literal 2 binary64) (+.f64 y x))
(* -1 y)
(neg.f64 y)
(* y (- (* 2 (/ 1 y)) (+ 1 (/ x y))))
(fma.f64 y (/.f64 (-.f64 #s(literal 2 binary64) x) y) (neg.f64 y))
(* y (- (* 2 (/ 1 y)) (+ 1 (/ x y))))
(fma.f64 y (/.f64 (-.f64 #s(literal 2 binary64) x) y) (neg.f64 y))
(* y (- (* 2 (/ 1 y)) (+ 1 (/ x y))))
(fma.f64 y (/.f64 (-.f64 #s(literal 2 binary64) x) y) (neg.f64 y))
(* -1 y)
(neg.f64 y)
(* -1 (* y (+ 1 (* -1 (/ (- 2 x) y)))))
(fma.f64 y (/.f64 (-.f64 #s(literal 2 binary64) x) y) (neg.f64 y))
(* -1 (* y (+ 1 (* -1 (/ (- 2 x) y)))))
(fma.f64 y (/.f64 (-.f64 #s(literal 2 binary64) x) y) (neg.f64 y))
(* -1 (* y (+ 1 (* -1 (/ (- 2 x) y)))))
(fma.f64 y (/.f64 (-.f64 #s(literal 2 binary64) x) y) (neg.f64 y))
y
(+ x y)
(+.f64 y x)
(+ x y)
(+.f64 y x)
(+ x y)
(+.f64 y x)
x
(* x (+ 1 (/ y x)))
(fma.f64 x (/.f64 y x) x)
(* x (+ 1 (/ y x)))
(fma.f64 x (/.f64 y x) x)
(* x (+ 1 (/ y x)))
(fma.f64 x (/.f64 y x) x)
x
(* -1 (* x (- (* -1 (/ y x)) 1)))
(fma.f64 x (/.f64 y x) x)
(* -1 (* x (- (* -1 (/ y x)) 1)))
(fma.f64 x (/.f64 y x) x)
(* -1 (* x (- (* -1 (/ y x)) 1)))
(fma.f64 x (/.f64 y x) x)
x
(+ x y)
(+.f64 y x)
(+ x y)
(+.f64 y x)
(+ x y)
(+.f64 y x)
y
(* y (+ 1 (/ x y)))
(fma.f64 y (/.f64 x y) y)
(* y (+ 1 (/ x y)))
(fma.f64 y (/.f64 x y) y)
(* y (+ 1 (/ x y)))
(fma.f64 y (/.f64 x y) y)
y
(* -1 (* y (- (* -1 (/ x y)) 1)))
(fma.f64 y (/.f64 x y) y)
(* -1 (* y (- (* -1 (/ x y)) 1)))
(fma.f64 y (/.f64 x y) y)
(* -1 (* y (- (* -1 (/ x y)) 1)))
(fma.f64 y (/.f64 x y) y)
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* x (+ 1/2 (* 1/4 x)))
(*.f64 x (fma.f64 x #s(literal 1/4 binary64) #s(literal 1/2 binary64)))
(* x (+ 1/2 (* x (+ 1/4 (* 1/8 x)))))
(*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)))
(* x (+ 1/2 (* x (+ 1/4 (* x (+ 1/8 (* 1/16 x)))))))
(*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/16 binary64) #s(literal 1/8 binary64)) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)))
-1
#s(literal -1 binary64)
(* -1 (+ 1 (* 2 (/ 1 x))))
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) x))
(- (* -1 (/ (+ 2 (* 4 (/ 1 x))) x)) 1)
(-.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 4 binary64) x)) x))
(- (* -1 (/ (+ 4 (* 8 (/ 1 x))) (pow x 2))) (+ 1 (* 2 (/ 1 x))))
(-.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) x)) (/.f64 (+.f64 #s(literal 4 binary64) (/.f64 #s(literal 8 binary64) x)) (*.f64 x x)))
-1
#s(literal -1 binary64)
(* -1 (+ 1 (* 2 (/ 1 x))))
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) x))
(- (* -1 (/ (+ 2 (* 4 (/ 1 x))) x)) 1)
(-.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 4 binary64) x)) x))
(- (* -1 (/ (+ 2 (+ (* 4 (/ 1 x)) (/ 8 (pow x 2)))) x)) 1)
(-.f64 #s(literal -1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 4 binary64) x) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 8 binary64) (*.f64 x x)))) x))
2
#s(literal 2 binary64)
(+ 2 (* -1 x))
(-.f64 #s(literal 2 binary64) x)
(+ 2 (* -1 x))
(-.f64 #s(literal 2 binary64) x)
(+ 2 (* -1 x))
(-.f64 #s(literal 2 binary64) x)
(* -1 x)
(neg.f64 x)
(* x (- (* 2 (/ 1 x)) 1))
(-.f64 (*.f64 x (/.f64 #s(literal 2 binary64) x)) x)
(* x (- (* 2 (/ 1 x)) 1))
(-.f64 (*.f64 x (/.f64 #s(literal 2 binary64) x)) x)
(* x (- (* 2 (/ 1 x)) 1))
(-.f64 (*.f64 x (/.f64 #s(literal 2 binary64) x)) x)
(* -1 x)
(neg.f64 x)
(* -1 (* x (- 1 (* 2 (/ 1 x)))))
(-.f64 (*.f64 x (/.f64 #s(literal 2 binary64) x)) x)
(* -1 (* x (- 1 (* 2 (/ 1 x)))))
(-.f64 (*.f64 x (/.f64 #s(literal 2 binary64) x)) x)
(* -1 (* x (- 1 (* 2 (/ 1 x)))))
(-.f64 (*.f64 x (/.f64 #s(literal 2 binary64) x)) x)
(/ y x)
(/.f64 y x)
(/ (+ y (* -1 x)) x)
(+.f64 #s(literal -1 binary64) (/.f64 y x))
(/ (+ y (* -1 x)) x)
(+.f64 #s(literal -1 binary64) (/.f64 y x))
(/ (+ y (* -1 x)) x)
(+.f64 #s(literal -1 binary64) (/.f64 y x))
-1
#s(literal -1 binary64)
(- (/ y x) 1)
(+.f64 #s(literal -1 binary64) (/.f64 y x))
(- (/ y x) 1)
(+.f64 #s(literal -1 binary64) (/.f64 y x))
(- (/ y x) 1)
(+.f64 #s(literal -1 binary64) (/.f64 y x))
-1
#s(literal -1 binary64)
(- (/ y x) 1)
(+.f64 #s(literal -1 binary64) (/.f64 y x))
(- (/ y x) 1)
(+.f64 #s(literal -1 binary64) (/.f64 y x))
(- (/ y x) 1)
(+.f64 #s(literal -1 binary64) (/.f64 y x))
-1
#s(literal -1 binary64)
(- (/ y x) 1)
(+.f64 #s(literal -1 binary64) (/.f64 y x))
(- (/ y x) 1)
(+.f64 #s(literal -1 binary64) (/.f64 y x))
(- (/ y x) 1)
(+.f64 #s(literal -1 binary64) (/.f64 y x))
(/ y x)
(/.f64 y x)
(* y (- (/ 1 x) (/ 1 y)))
(+.f64 #s(literal -1 binary64) (/.f64 y x))
(* y (- (/ 1 x) (/ 1 y)))
(+.f64 #s(literal -1 binary64) (/.f64 y x))
(* y (- (/ 1 x) (/ 1 y)))
(+.f64 #s(literal -1 binary64) (/.f64 y x))
(/ y x)
(/.f64 y x)
(* -1 (* y (- (/ 1 y) (/ 1 x))))
(+.f64 #s(literal -1 binary64) (/.f64 y x))
(* -1 (* y (- (/ 1 y) (/ 1 x))))
(+.f64 #s(literal -1 binary64) (/.f64 y x))
(* -1 (* y (- (/ 1 y) (/ 1 x))))
(+.f64 #s(literal -1 binary64) (/.f64 y x))
(* -1 y)
(neg.f64 y)
(- x y)
(-.f64 x y)
(- x y)
(-.f64 x y)
(- x y)
(-.f64 x y)
x
(* x (+ 1 (* -1 (/ y x))))
(-.f64 x (/.f64 (*.f64 y x) x))
(* x (+ 1 (* -1 (/ y x))))
(-.f64 x (/.f64 (*.f64 y x) x))
(* x (+ 1 (* -1 (/ y x))))
(-.f64 x (/.f64 (*.f64 y x) x))
x
(* -1 (* x (- (/ y x) 1)))
(-.f64 x (/.f64 (*.f64 y x) x))
(* -1 (* x (- (/ y x) 1)))
(-.f64 x (/.f64 (*.f64 y x) x))
(* -1 (* x (- (/ y x) 1)))
(-.f64 x (/.f64 (*.f64 y x) x))
x
(+ x (* -1 y))
(-.f64 x y)
(+ x (* -1 y))
(-.f64 x y)
(+ x (* -1 y))
(-.f64 x y)
(* -1 y)
(neg.f64 y)
(* y (- (/ x y) 1))
(-.f64 (/.f64 (*.f64 y x) y) y)
(* y (- (/ x y) 1))
(-.f64 (/.f64 (*.f64 y x) y) y)
(* y (- (/ x y) 1))
(-.f64 (/.f64 (*.f64 y x) y) y)
(* -1 y)
(neg.f64 y)
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(-.f64 (/.f64 (*.f64 y x) y) y)
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(-.f64 (/.f64 (*.f64 y x) y) y)
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(-.f64 (/.f64 (*.f64 y x) y) y)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1/2 y)
(*.f64 y #s(literal -1/2 binary64))
(+ (* -1/2 y) (* x (- 1/2 (* 1/4 y))))
(fma.f64 y #s(literal -1/2 binary64) (*.f64 x (fma.f64 y #s(literal -1/4 binary64) #s(literal 1/2 binary64))))
(+ (* -1/2 y) (* x (- (+ 1/2 (* 1/2 (* x (- 1/2 (* 1/4 y))))) (* 1/4 y))))
(fma.f64 x (fma.f64 x (fma.f64 #s(literal 1/2 binary64) (*.f64 y #s(literal -1/4 binary64)) #s(literal 1/4 binary64)) (fma.f64 y #s(literal -1/4 binary64) #s(literal 1/2 binary64))) (*.f64 y #s(literal -1/2 binary64)))
(+ (* -1/2 y) (* x (- (+ 1/2 (* x (- (* 1/4 (* x (- 1/2 (* 1/4 y)))) (* -1/2 (- 1/2 (* 1/4 y)))))) (* 1/4 y))))
(fma.f64 x (fma.f64 x (*.f64 (fma.f64 y #s(literal -1/4 binary64) #s(literal 1/2 binary64)) (fma.f64 x #s(literal 1/4 binary64) #s(literal 1/2 binary64))) (fma.f64 y #s(literal -1/4 binary64) #s(literal 1/2 binary64))) (*.f64 y #s(literal -1/2 binary64)))
-1
#s(literal -1 binary64)
(- (/ y x) (+ 1 (* 2 (/ 1 x))))
(+.f64 (/.f64 (+.f64 y #s(literal -2 binary64)) x) #s(literal -1 binary64))
(- (+ (* 2 (/ (- y 2) (pow x 2))) (/ y x)) (+ 1 (* 2 (/ 1 x))))
(+.f64 (+.f64 (/.f64 (+.f64 y #s(literal -2 binary64)) x) #s(literal -1 binary64)) (/.f64 (fma.f64 y #s(literal 2 binary64) #s(literal -4 binary64)) (*.f64 x x)))
(- (+ (* 4 (/ (- y 2) (pow x 3))) (/ y x)) (+ 1 (+ (* -2 (/ (- y 2) (pow x 2))) (* 2 (/ 1 x)))))
(+.f64 (/.f64 y x) (+.f64 (/.f64 (fma.f64 y #s(literal 4 binary64) #s(literal -8 binary64)) (*.f64 x (*.f64 x x))) (-.f64 #s(literal -1 binary64) (fma.f64 (/.f64 (+.f64 y #s(literal -2 binary64)) (*.f64 x x)) #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) x)))))
-1
#s(literal -1 binary64)
(- (/ y x) (+ 1 (* 2 (/ 1 x))))
(+.f64 (/.f64 (+.f64 y #s(literal -2 binary64)) x) #s(literal -1 binary64))
(- (* -1 (/ (+ (* -2 (/ (- y 2) x)) (* -1 (- y 2))) x)) 1)
(-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -2 binary64) (/.f64 (+.f64 y #s(literal -2 binary64)) x) (-.f64 #s(literal 2 binary64) y)) x))
(- (* -1 (/ (+ (* -1 (- y 2)) (* -1 (/ (+ (* 2 (- y 2)) (* 4 (/ (- y 2) x))) x))) x)) 1)
(+.f64 #s(literal -1 binary64) (/.f64 (+.f64 (+.f64 y #s(literal -2 binary64)) (/.f64 (fma.f64 #s(literal 4 binary64) (/.f64 (+.f64 y #s(literal -2 binary64)) x) (fma.f64 y #s(literal 2 binary64) #s(literal -4 binary64))) x)) x))
(/ x (- 2 x))
(/.f64 x (-.f64 #s(literal 2 binary64) x))
(+ (* -1 (/ y (- 2 x))) (/ x (- 2 x)))
(+.f64 (/.f64 x (-.f64 #s(literal 2 binary64) x)) (/.f64 y (+.f64 x #s(literal -2 binary64))))
(+ (* -1 (/ y (- 2 x))) (/ x (- 2 x)))
(+.f64 (/.f64 x (-.f64 #s(literal 2 binary64) x)) (/.f64 y (+.f64 x #s(literal -2 binary64))))
(+ (* -1 (/ y (- 2 x))) (/ x (- 2 x)))
(+.f64 (/.f64 x (-.f64 #s(literal 2 binary64) x)) (/.f64 y (+.f64 x #s(literal -2 binary64))))
(* -1 (/ y (- 2 x)))
(/.f64 y (+.f64 x #s(literal -2 binary64)))
(* y (- (/ x (* y (- 2 x))) (/ 1 (- 2 x))))
(fma.f64 y (/.f64 x (*.f64 y (-.f64 #s(literal 2 binary64) x))) (/.f64 y (+.f64 x #s(literal -2 binary64))))
(* y (- (/ x (* y (- 2 x))) (/ 1 (- 2 x))))
(fma.f64 y (/.f64 x (*.f64 y (-.f64 #s(literal 2 binary64) x))) (/.f64 y (+.f64 x #s(literal -2 binary64))))
(* y (- (/ x (* y (- 2 x))) (/ 1 (- 2 x))))
(fma.f64 y (/.f64 x (*.f64 y (-.f64 #s(literal 2 binary64) x))) (/.f64 y (+.f64 x #s(literal -2 binary64))))
(* -1 (/ y (- 2 x)))
(/.f64 y (+.f64 x #s(literal -2 binary64)))
(* -1 (* y (+ (* -1 (/ x (* y (- 2 x)))) (/ 1 (- 2 x)))))
(fma.f64 y (/.f64 x (*.f64 y (-.f64 #s(literal 2 binary64) x))) (/.f64 y (+.f64 x #s(literal -2 binary64))))
(* -1 (* y (+ (* -1 (/ x (* y (- 2 x)))) (/ 1 (- 2 x)))))
(fma.f64 y (/.f64 x (*.f64 y (-.f64 #s(literal 2 binary64) x))) (/.f64 y (+.f64 x #s(literal -2 binary64))))
(* -1 (* y (+ (* -1 (/ x (* y (- 2 x)))) (/ 1 (- 2 x)))))
(fma.f64 y (/.f64 x (*.f64 y (-.f64 #s(literal 2 binary64) x))) (/.f64 y (+.f64 x #s(literal -2 binary64))))

eval262.0ms (2.5%)

Memory
-4.3MiB live, 345.2MiB allocated
Compiler

Compiled 32 518 to 3 370 computations (89.6% saved)

prune257.0ms (2.4%)

Memory
-10.6MiB live, 439.4MiB allocated
Pruning

19 alts after pruning (14 fresh and 5 done)

PrunedKeptTotal
New1 44181 449
Fresh167
Picked145
Done011
Total1 443191 462
Accuracy
100.0%
Counts
1 462 → 19
Alt Table
Click to see full alt table
StatusAccuracyProgram
40.9%
(/.f64 (-.f64 y x) x)
✓100.0%
(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y)))
✓60.0%
(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) x))
40.1%
(/.f64 (-.f64 x y) (neg.f64 y))
▶20.9%
(/.f64 (-.f64 x y) #s(literal 2 binary64))
▶49.3%
(/.f64 (neg.f64 y) (-.f64 #s(literal 2 binary64) (+.f64 x y)))
48.9%
(/.f64 y (+.f64 y #s(literal -2 binary64)))
✓51.8%
(/.f64 x (-.f64 #s(literal 2 binary64) x))
✓99.9%
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 2 binary64) (+.f64 x y)) (-.f64 x y)))
48.9%
(/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal -2 binary64) y) #s(literal 1 binary64)))
41.4%
(+.f64 (/.f64 (fma.f64 y #s(literal 2 binary64) #s(literal -2 binary64)) x) #s(literal -1 binary64))
40.9%
(+.f64 (/.f64 y x) #s(literal -1 binary64))
40.3%
(+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 2 binary64)) y))
▶99.8%
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (+.f64 x y))) (-.f64 x y))
11.0%
(*.f64 y #s(literal -1/2 binary64))
▶12.6%
(*.f64 x (fma.f64 x #s(literal 1/4 binary64) #s(literal 1/2 binary64)))
13.2%
(*.f64 x #s(literal 1/2 binary64))
▶39.9%
#s(literal 1 binary64)
✓40.6%
#s(literal -1 binary64)
Compiler

Compiled 261 to 190 computations (27.2% saved)

simplify69.0ms (0.6%)

Memory
22.7MiB live, 97.0MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 12 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(+.f64 x y)
✓cost-diff0
(-.f64 #s(literal 2 binary64) (+.f64 x y))
✓cost-diff0
(neg.f64 y)
✓cost-diff128
(/.f64 (neg.f64 y) (-.f64 #s(literal 2 binary64) (+.f64 x y)))
✓cost-diff0
(-.f64 x y)
✓cost-diff384
(/.f64 (-.f64 x y) #s(literal 2 binary64))
✓cost-diff0
(fma.f64 x #s(literal 1/4 binary64) #s(literal 1/2 binary64))
✓cost-diff0
(*.f64 x (fma.f64 x #s(literal 1/4 binary64) #s(literal 1/2 binary64)))
✓cost-diff0
(+.f64 x y)
✓cost-diff0
(-.f64 #s(literal 2 binary64) (+.f64 x y))
✓cost-diff0
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (+.f64 x y)))
✓cost-diff320
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (+.f64 x y))) (-.f64 x y))
Rules
888×lower-fma.f32
886×lower-fma.f64
472×lower-*.f32
468×lower-*.f64
240×lower-+.f32
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01679
02779
15577
210177
321676
448476
577876
6108976
7155876
8164876
9167576
10167776
0167776
Stop Event
1×iter limit
1×saturated
1×iter limit
Calls
Call 1
Inputs
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (+.f64 x y))) (-.f64 x y))
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (+.f64 x y)))
#s(literal 1 binary64)
(-.f64 #s(literal 2 binary64) (+.f64 x y))
#s(literal 2 binary64)
(+.f64 x y)
x
y
(-.f64 x y)
#s(literal 1 binary64)
(*.f64 x (fma.f64 x #s(literal 1/4 binary64) #s(literal 1/2 binary64)))
x
(fma.f64 x #s(literal 1/4 binary64) #s(literal 1/2 binary64))
#s(literal 1/4 binary64)
#s(literal 1/2 binary64)
(/.f64 (-.f64 x y) #s(literal 2 binary64))
(-.f64 x y)
x
y
#s(literal 2 binary64)
(/.f64 (neg.f64 y) (-.f64 #s(literal 2 binary64) (+.f64 x y)))
(neg.f64 y)
y
(-.f64 #s(literal 2 binary64) (+.f64 x y))
#s(literal 2 binary64)
(+.f64 x y)
x
Outputs
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (+.f64 x y))) (-.f64 x y))
(/.f64 (-.f64 x y) (-.f64 (-.f64 #s(literal 2 binary64) x) y))
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (+.f64 x y)))
(/.f64 #s(literal 1 binary64) (-.f64 (-.f64 #s(literal 2 binary64) x) y))
#s(literal 1 binary64)
(-.f64 #s(literal 2 binary64) (+.f64 x y))
(-.f64 (-.f64 #s(literal 2 binary64) x) y)
#s(literal 2 binary64)
(+.f64 x y)
x
y
(-.f64 x y)
#s(literal 1 binary64)
(*.f64 x (fma.f64 x #s(literal 1/4 binary64) #s(literal 1/2 binary64)))
x
(fma.f64 x #s(literal 1/4 binary64) #s(literal 1/2 binary64))
#s(literal 1/4 binary64)
#s(literal 1/2 binary64)
(/.f64 (-.f64 x y) #s(literal 2 binary64))
(*.f64 (-.f64 x y) #s(literal 1/2 binary64))
(-.f64 x y)
x
y
#s(literal 2 binary64)
(/.f64 (neg.f64 y) (-.f64 #s(literal 2 binary64) (+.f64 x y)))
(/.f64 y (+.f64 y (+.f64 x #s(literal -2 binary64))))
(neg.f64 y)
y
(-.f64 #s(literal 2 binary64) (+.f64 x y))
(-.f64 (-.f64 #s(literal 2 binary64) x) y)
#s(literal 2 binary64)
(+.f64 x y)
x

localize124.0ms (1.2%)

Memory
5.3MiB live, 128.6MiB allocated
Localize:

Found 12 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(+.f64 x y)
✓accuracy100.0%
(neg.f64 y)
✓accuracy100.0%
(-.f64 #s(literal 2 binary64) (+.f64 x y))
✓accuracy100.0%
(/.f64 (neg.f64 y) (-.f64 #s(literal 2 binary64) (+.f64 x y)))
✓accuracy100.0%
(/.f64 (-.f64 x y) #s(literal 2 binary64))
✓accuracy100.0%
(-.f64 x y)
✓accuracy100.0%
(fma.f64 x #s(literal 1/4 binary64) #s(literal 1/2 binary64))
✓accuracy100.0%
(*.f64 x (fma.f64 x #s(literal 1/4 binary64) #s(literal 1/2 binary64)))
✓accuracy100.0%
(+.f64 x y)
✓accuracy100.0%
(-.f64 #s(literal 2 binary64) (+.f64 x y))
✓accuracy100.0%
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (+.f64 x y)))
✓accuracy99.8%
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (+.f64 x y))) (-.f64 x y))
Samples
101.0ms255×0valid
0.0ms1×1valid
Compiler

Compiled 83 to 19 computations (77.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 56.0ms
ival-add: 42.0ms (75.2% of total)
ival-div: 5.0ms (9% of total)
ival-mult: 4.0ms (7.2% of total)
ival-sub: 2.0ms (3.6% of total)
ival-neg: 1.0ms (1.8% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series16.0ms (0.1%)

Memory
3.4MiB live, 42.3MiB allocated
Counts
10 → 204
Calls
Call 1
Inputs
#<alt (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (+.f64 x y))) (-.f64 x y))>
#<alt (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (+.f64 x y)))>
#<alt (-.f64 #s(literal 2 binary64) (+.f64 x y))>
#<alt (+.f64 x y)>
#<alt (*.f64 x (fma.f64 x #s(literal 1/4 binary64) #s(literal 1/2 binary64)))>
#<alt (fma.f64 x #s(literal 1/4 binary64) #s(literal 1/2 binary64))>
#<alt (/.f64 (-.f64 x y) #s(literal 2 binary64))>
#<alt (-.f64 x y)>
#<alt (/.f64 (neg.f64 y) (-.f64 #s(literal 2 binary64) (+.f64 x y)))>
#<alt (neg.f64 y)>
Outputs
#<alt (* -1 (/ y (- 2 y)))>
#<alt (+ (* -1 (/ y (- 2 y))) (* x (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2)))))>
#<alt (+ (* -1 (/ y (- 2 y))) (* x (- (+ (/ 1 (- 2 y)) (/ (* x (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2)))) (- 2 y))) (/ y (pow (- 2 y) 2)))))>
#<alt (+ (* -1 (/ y (- 2 y))) (* x (- (+ (* x (- (/ (* x (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2)))) (pow (- 2 y) 2)) (* -1 (/ (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2))) (- 2 y))))) (/ 1 (- 2 y))) (/ y (pow (- 2 y) 2)))))>
#<alt -1>
#<alt (- (* 2 (/ y x)) (+ 1 (* 2 (/ 1 x))))>
#<alt (- (+ (* 2 (/ y x)) (/ (* (- 2 y) (- (* 2 y) 2)) (pow x 2))) (+ 1 (* 2 (/ 1 x))))>
#<alt (- (+ (* 2 (/ y x)) (/ (* (pow (- 2 y) 2) (- (* 2 y) 2)) (pow x 3))) (+ 1 (+ (* -1 (/ (* (- 2 y) (- (* 2 y) 2)) (pow x 2))) (* 2 (/ 1 x)))))>
#<alt -1>
#<alt (- (* 2 (/ y x)) (+ 1 (* 2 (/ 1 x))))>
#<alt (- (* -1 (/ (+ (* -1 (- (* 2 y) 2)) (* -1 (/ (* (- 2 y) (- (* 2 y) 2)) x))) x)) 1)>
#<alt (- (* -1 (/ (+ (* -1 (- (* 2 y) 2)) (* -1 (/ (+ (* (- 2 y) (- (* 2 y) 2)) (/ (* (pow (- 2 y) 2) (- (* 2 y) 2)) x)) x))) x)) 1)>
#<alt (/ x (- 2 x))>
#<alt (+ (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x)))>
#<alt (+ (* y (- (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 3))) (/ 1 (pow (- 2 x) 2))))) (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x)))>
#<alt (+ (* y (- (* y (- (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 4))) (/ 1 (pow (- 2 x) 3))))) (+ (* -1 (/ x (pow (- 2 x) 3))) (/ 1 (pow (- 2 x) 2))))) (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x)))>
#<alt 1>
#<alt (- (+ 1 (* -1 (/ x y))) (* -1 (/ (- 2 x) y)))>
#<alt (- (+ 1 (+ (* -1 (/ x y)) (/ (* (- 2 x) (- (* -1 x) (* -1 (- 2 x)))) (pow y 2)))) (* -1 (/ (- 2 x) y)))>
#<alt (- (+ 1 (+ (* -1 (/ x y)) (/ (* (pow (- 2 x) 2) (- (* -1 x) (* -1 (- 2 x)))) (pow y 3)))) (+ (* -1 (/ (* (- 2 x) (- (* -1 x) (* -1 (- 2 x)))) (pow y 2))) (* -1 (/ (- 2 x) y))))>
#<alt 1>
#<alt (+ 1 (* -1 (/ (- (* 2 x) 2) y)))>
#<alt (+ 1 (* -1 (/ (- (+ (* 2 x) (/ (* (- 2 x) (- (* 2 x) 2)) y)) 2) y)))>
#<alt (+ 1 (* -1 (/ (- (+ (* -1 (/ (- (* -1 (/ (* (pow (- 2 x) 2) (- (* 2 x) 2)) y)) (* (- 2 x) (- (* 2 x) 2))) y)) (* 2 x)) 2) y)))>
#<alt (/ 1 (- 2 y))>
#<alt (+ (/ 1 (- 2 y)) (/ x (pow (- 2 y) 2)))>
#<alt (+ (* x (+ (/ 1 (pow (- 2 y) 2)) (/ x (pow (- 2 y) 3)))) (/ 1 (- 2 y)))>
#<alt (+ (* x (+ (* x (+ (/ 1 (pow (- 2 y) 3)) (/ x (pow (- 2 y) 4)))) (/ 1 (pow (- 2 y) 2)))) (/ 1 (- 2 y)))>
#<alt (/ -1 x)>
#<alt (/ (- (/ y x) (+ 1 (* 2 (/ 1 x)))) x)>
#<alt (/ (- (+ (/ y x) (/ (* (- 2 y) (- y 2)) (pow x 2))) (+ 1 (* 2 (/ 1 x)))) x)>
#<alt (/ (- (+ (/ y x) (/ (* (pow (- 2 y) 2) (- y 2)) (pow x 3))) (+ 1 (+ (* -1 (/ (* (- 2 y) (- y 2)) (pow x 2))) (* 2 (/ 1 x))))) x)>
#<alt (/ -1 x)>
#<alt (* -1 (/ (+ 1 (* -1 (/ (- y 2) x))) x))>
#<alt (* -1 (/ (+ 1 (* -1 (/ (- (+ y (/ (* (- 2 y) (- y 2)) x)) 2) x))) x))>
#<alt (* -1 (/ (+ 1 (* -1 (/ (- (+ y (* -1 (/ (- (* -1 (/ (* (pow (- 2 y) 2) (- y 2)) x)) (* (- 2 y) (- y 2))) x))) 2) x))) x))>
#<alt (/ 1 (- 2 x))>
#<alt (+ (/ 1 (- 2 x)) (/ y (pow (- 2 x) 2)))>
#<alt (+ (* y (+ (/ 1 (pow (- 2 x) 2)) (/ y (pow (- 2 x) 3)))) (/ 1 (- 2 x)))>
#<alt (+ (* y (+ (* y (+ (/ 1 (pow (- 2 x) 3)) (/ y (pow (- 2 x) 4)))) (/ 1 (pow (- 2 x) 2)))) (/ 1 (- 2 x)))>
#<alt (/ -1 y)>
#<alt (/ (- (/ x y) (+ 1 (* 2 (/ 1 y)))) y)>
#<alt (/ (- (+ (/ x y) (/ (* (- 2 x) (- x 2)) (pow y 2))) (+ 1 (* 2 (/ 1 y)))) y)>
#<alt (/ (- (+ (/ x y) (/ (* (pow (- 2 x) 2) (- x 2)) (pow y 3))) (+ 1 (+ (* -1 (/ (* (- 2 x) (- x 2)) (pow y 2))) (* 2 (/ 1 y))))) y)>
#<alt (/ -1 y)>
#<alt (* -1 (/ (+ 1 (* -1 (/ (- x 2) y))) y))>
#<alt (* -1 (/ (+ 1 (* -1 (/ (- (+ x (/ (* (- 2 x) (- x 2)) y)) 2) y))) y))>
#<alt (* -1 (/ (+ 1 (* -1 (/ (- (+ x (* -1 (/ (- (* -1 (/ (* (pow (- 2 x) 2) (- x 2)) y)) (* (- 2 x) (- x 2))) y))) 2) y))) y))>
#<alt (- 2 y)>
#<alt (- (+ 2 (* -1 x)) y)>
#<alt (- (+ 2 (* -1 x)) y)>
#<alt (- (+ 2 (* -1 x)) y)>
#<alt (* -1 x)>
#<alt (* x (- (* 2 (/ 1 x)) (+ 1 (/ y x))))>
#<alt (* x (- (* 2 (/ 1 x)) (+ 1 (/ y x))))>
#<alt (* x (- (* 2 (/ 1 x)) (+ 1 (/ y x))))>
#<alt (* -1 x)>
#<alt (* -1 (* x (+ 1 (* -1 (/ (- 2 y) x)))))>
#<alt (* -1 (* x (+ 1 (* -1 (/ (- 2 y) x)))))>
#<alt (* -1 (* x (+ 1 (* -1 (/ (- 2 y) x)))))>
#<alt (- 2 x)>
#<alt (- (+ 2 (* -1 y)) x)>
#<alt (- (+ 2 (* -1 y)) x)>
#<alt (- (+ 2 (* -1 y)) x)>
#<alt (* -1 y)>
#<alt (* y (- (* 2 (/ 1 y)) (+ 1 (/ x y))))>
#<alt (* y (- (* 2 (/ 1 y)) (+ 1 (/ x y))))>
#<alt (* y (- (* 2 (/ 1 y)) (+ 1 (/ x y))))>
#<alt (* -1 y)>
#<alt (* -1 (* y (+ 1 (* -1 (/ (- 2 x) y)))))>
#<alt (* -1 (* y (+ 1 (* -1 (/ (- 2 x) y)))))>
#<alt (* -1 (* y (+ 1 (* -1 (/ (- 2 x) y)))))>
#<alt y>
#<alt (+ x y)>
#<alt (+ x y)>
#<alt (+ x y)>
#<alt x>
#<alt (* x (+ 1 (/ y x)))>
#<alt (* x (+ 1 (/ y x)))>
#<alt (* x (+ 1 (/ y x)))>
#<alt x>
#<alt (* -1 (* x (- (* -1 (/ y x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ y x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ y x)) 1)))>
#<alt x>
#<alt (+ x y)>
#<alt (+ x y)>
#<alt (+ x y)>
#<alt y>
#<alt (* y (+ 1 (/ x y)))>
#<alt (* y (+ 1 (/ x y)))>
#<alt (* y (+ 1 (/ x y)))>
#<alt y>
#<alt (* -1 (* y (- (* -1 (/ x y)) 1)))>
#<alt (* -1 (* y (- (* -1 (/ x y)) 1)))>
#<alt (* -1 (* y (- (* -1 (/ x y)) 1)))>
#<alt (* 1/2 x)>
#<alt (* x (+ 1/2 (* 1/4 x)))>
#<alt (* x (+ 1/2 (* 1/4 x)))>
#<alt (* x (+ 1/2 (* 1/4 x)))>
#<alt (* 1/4 (pow x 2))>
#<alt (* (pow x 2) (+ 1/4 (* 1/2 (/ 1 x))))>
#<alt (* (pow x 2) (+ 1/4 (* 1/2 (/ 1 x))))>
#<alt (* (pow x 2) (+ 1/4 (* 1/2 (/ 1 x))))>
#<alt (* 1/4 (pow x 2))>
#<alt (* (pow x 2) (+ 1/4 (* 1/2 (/ 1 x))))>
#<alt (* (pow x 2) (+ 1/4 (* 1/2 (/ 1 x))))>
#<alt (* (pow x 2) (+ 1/4 (* 1/2 (/ 1 x))))>
#<alt 1/2>
#<alt (+ 1/2 (* 1/4 x))>
#<alt (+ 1/2 (* 1/4 x))>
#<alt (+ 1/2 (* 1/4 x))>
#<alt (* 1/4 x)>
#<alt (* x (+ 1/4 (* 1/2 (/ 1 x))))>
#<alt (* x (+ 1/4 (* 1/2 (/ 1 x))))>
#<alt (* x (+ 1/4 (* 1/2 (/ 1 x))))>
#<alt (* 1/4 x)>
#<alt (* x (+ 1/4 (* 1/2 (/ 1 x))))>
#<alt (* x (+ 1/4 (* 1/2 (/ 1 x))))>
#<alt (* x (+ 1/4 (* 1/2 (/ 1 x))))>
#<alt (* -1/2 y)>
#<alt (+ (* -1/2 y) (* 1/2 x))>
#<alt (+ (* -1/2 y) (* 1/2 x))>
#<alt (+ (* -1/2 y) (* 1/2 x))>
#<alt (* 1/2 x)>
#<alt (* x (+ 1/2 (* -1/2 (/ y x))))>
#<alt (* x (+ 1/2 (* -1/2 (/ y x))))>
#<alt (* x (+ 1/2 (* -1/2 (/ y x))))>
#<alt (* 1/2 x)>
#<alt (* -1 (* x (- (* 1/2 (/ y x)) 1/2)))>
#<alt (* -1 (* x (- (* 1/2 (/ y x)) 1/2)))>
#<alt (* -1 (* x (- (* 1/2 (/ y x)) 1/2)))>
#<alt (* 1/2 x)>
#<alt (+ (* -1/2 y) (* 1/2 x))>
#<alt (+ (* -1/2 y) (* 1/2 x))>
#<alt (+ (* -1/2 y) (* 1/2 x))>
#<alt (* -1/2 y)>
#<alt (* y (- (* 1/2 (/ x y)) 1/2))>
#<alt (* y (- (* 1/2 (/ x y)) 1/2))>
#<alt (* y (- (* 1/2 (/ x y)) 1/2))>
#<alt (* -1/2 y)>
#<alt (* -1 (* y (+ 1/2 (* -1/2 (/ x y)))))>
#<alt (* -1 (* y (+ 1/2 (* -1/2 (/ x y)))))>
#<alt (* -1 (* y (+ 1/2 (* -1/2 (/ x y)))))>
#<alt (* -1 y)>
#<alt (- x y)>
#<alt (- x y)>
#<alt (- x y)>
#<alt x>
#<alt (* x (+ 1 (* -1 (/ y x))))>
#<alt (* x (+ 1 (* -1 (/ y x))))>
#<alt (* x (+ 1 (* -1 (/ y x))))>
#<alt x>
#<alt (* -1 (* x (- (/ y x) 1)))>
#<alt (* -1 (* x (- (/ y x) 1)))>
#<alt (* -1 (* x (- (/ y x) 1)))>
#<alt x>
#<alt (+ x (* -1 y))>
#<alt (+ x (* -1 y))>
#<alt (+ x (* -1 y))>
#<alt (* -1 y)>
#<alt (* y (- (/ x y) 1))>
#<alt (* y (- (/ x y) 1))>
#<alt (* y (- (/ x y) 1))>
#<alt (* -1 y)>
#<alt (* -1 (* y (+ 1 (* -1 (/ x y)))))>
#<alt (* -1 (* y (+ 1 (* -1 (/ x y)))))>
#<alt (* -1 (* y (+ 1 (* -1 (/ x y)))))>
#<alt (* -1 (/ y (- 2 x)))>
#<alt (* y (- (* -1 (/ y (pow (- 2 x) 2))) (/ 1 (- 2 x))))>
#<alt (* y (- (* y (- (* -1 (/ y (pow (- 2 x) 3))) (/ 1 (pow (- 2 x) 2)))) (/ 1 (- 2 x))))>
#<alt (* y (- (* y (- (* y (- (* -1 (/ y (pow (- 2 x) 4))) (/ 1 (pow (- 2 x) 3)))) (/ 1 (pow (- 2 x) 2)))) (/ 1 (- 2 x))))>
#<alt 1>
#<alt (- (+ 1 (* 2 (/ 1 y))) (/ x y))>
#<alt (- (+ 1 (/ (pow (- 2 x) 2) (pow y 2))) (* -1 (/ (- 2 x) y)))>
#<alt (- (+ 1 (/ (pow (- 2 x) 3) (pow y 3))) (+ (* -1 (/ (- 2 x) y)) (* -1 (/ (pow (- 2 x) 2) (pow y 2)))))>
#<alt 1>
#<alt (+ 1 (* -1 (/ (- x 2) y)))>
#<alt (+ 1 (* -1 (/ (- (+ x (/ (* (- 2 x) (- x 2)) y)) 2) y)))>
#<alt (+ 1 (* -1 (/ (- (+ x (* -1 (/ (- (* -1 (/ (* (pow (- 2 x) 2) (- x 2)) y)) (* (- 2 x) (- x 2))) y))) 2) y)))>
#<alt (* -1 (/ y (- 2 y)))>
#<alt (+ (* -1 (/ y (- 2 y))) (* -1 (/ (* x y) (pow (- 2 y) 2))))>
#<alt (+ (* -1 (/ y (- 2 y))) (* x (+ (* -1 (/ y (pow (- 2 y) 2))) (* -1 (/ (* x y) (pow (- 2 y) 3))))))>
#<alt (+ (* -1 (/ y (- 2 y))) (* x (+ (* -1 (/ y (pow (- 2 y) 2))) (* x (+ (* -1 (/ y (pow (- 2 y) 3))) (* -1 (/ (* x y) (pow (- 2 y) 4))))))))>
#<alt (/ y x)>
#<alt (/ (+ y (/ (* y (- 2 y)) x)) x)>
#<alt (/ (+ y (+ (/ (* y (- 2 y)) x) (/ (* y (pow (- 2 y) 2)) (pow x 2)))) x)>
#<alt (/ (+ y (+ (/ (* y (- 2 y)) x) (+ (/ (* y (pow (- 2 y) 2)) (pow x 2)) (/ (* y (pow (- 2 y) 3)) (pow x 3))))) x)>
#<alt (/ y x)>
#<alt (* -1 (/ (+ (* -1 y) (* -1 (/ (* y (- 2 y)) x))) x))>
#<alt (* -1 (/ (+ (* -1 y) (* -1 (/ (+ (* y (- 2 y)) (/ (* y (pow (- 2 y) 2)) x)) x))) x))>
#<alt (* -1 (/ (+ (* -1 y) (* -1 (/ (+ (* -1 (/ (+ (* -1 (* y (pow (- 2 y) 2))) (* -1 (/ (* y (pow (- 2 y) 3)) x))) x)) (* y (- 2 y))) x))) x))>
#<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)>
Calls

51 calls:

TimeVariablePointExpression
2.0ms
x
@inf
(/ (neg y) (- 2 (+ x y)))
2.0ms
y
@0
(/ 1 (- 2 (+ x y)))
1.0ms
y
@0
(/ (neg y) (- 2 (+ x y)))
0.0ms
x
@-inf
(* x (+ (* x 1/4) 1/2))
0.0ms
x
@inf
(* x (+ (* x 1/4) 1/2))

rewrite395.0ms (3.7%)

Memory
9.1MiB live, 723.7MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
6 076×lower-fma.f32
6 074×lower-fma.f64
5 170×lower-*.f32
5 166×lower-*.f64
4 262×lower-/.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01654
02754
111952
286951
0884251
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
10 → 846
Calls
Call 1
Inputs
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (+.f64 x y))) (-.f64 x y))
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (+.f64 x y)))
(-.f64 #s(literal 2 binary64) (+.f64 x y))
(+.f64 x y)
(*.f64 x (fma.f64 x #s(literal 1/4 binary64) #s(literal 1/2 binary64)))
(fma.f64 x #s(literal 1/4 binary64) #s(literal 1/2 binary64))
(/.f64 (-.f64 x y) #s(literal 2 binary64))
(-.f64 x y)
(/.f64 (neg.f64 y) (-.f64 #s(literal 2 binary64) (+.f64 x y)))
(neg.f64 y)
Outputs
(+.f64 (/.f64 y (+.f64 (+.f64 x y) #s(literal -2 binary64))) (/.f64 x (-.f64 #s(literal 2 binary64) (+.f64 x y))))
(+.f64 (/.f64 x (-.f64 #s(literal 2 binary64) (+.f64 x y))) (/.f64 y (+.f64 (+.f64 x y) #s(literal -2 binary64))))
(+.f64 (*.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 8 binary64) (*.f64 (+.f64 x y) (*.f64 (+.f64 x y) (+.f64 x y))))) #s(literal 4 binary64)) (*.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 8 binary64) (*.f64 (+.f64 x y) (*.f64 (+.f64 x y) (+.f64 x y))))) (*.f64 (+.f64 x y) (+.f64 #s(literal 2 binary64) (+.f64 x y)))))
(+.f64 (*.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 8 binary64) (*.f64 (+.f64 x y) (*.f64 (+.f64 x y) (+.f64 x y))))) (*.f64 (+.f64 x y) (+.f64 #s(literal 2 binary64) (+.f64 x y)))) (*.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 8 binary64) (*.f64 (+.f64 x y) (*.f64 (+.f64 x y) (+.f64 x y))))) #s(literal 4 binary64)))
(+.f64 (*.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 8 binary64) (*.f64 (+.f64 x y) (*.f64 (+.f64 x y) (+.f64 x y))))) (+.f64 #s(literal 4 binary64) (*.f64 (+.f64 x y) (+.f64 x y)))) (*.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 8 binary64) (*.f64 (+.f64 x y) (*.f64 (+.f64 x y) (+.f64 x y))))) (*.f64 #s(literal 2 binary64) (+.f64 x y))))
(+.f64 (*.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 4 binary64) (*.f64 (+.f64 x y) (+.f64 x y)))) #s(literal 2 binary64)) (*.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 4 binary64) (*.f64 (+.f64 x y) (+.f64 x y)))) (+.f64 x y)))
(+.f64 (*.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 4 binary64) (*.f64 (+.f64 x y) (+.f64 x y)))) (+.f64 x y)) (*.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 4 binary64) (*.f64 (+.f64 x y) (+.f64 x y)))) #s(literal 2 binary64)))
(+.f64 (*.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 4 binary64) (*.f64 (+.f64 x y) (+.f64 x y)))) (+.f64 #s(literal 2 binary64) x)) (*.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 4 binary64) (*.f64 (+.f64 x y) (+.f64 x y)))) y))
(+.f64 (*.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 4 binary64) (*.f64 (+.f64 x y) (+.f64 x y)))) (+.f64 #s(literal 2 binary64) y)) (*.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 4 binary64) (*.f64 (+.f64 x y) (+.f64 x y)))) x))
(+.f64 (*.f64 #s(literal 4 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 8 binary64) (*.f64 (+.f64 x y) (*.f64 (+.f64 x y) (+.f64 x y)))))) (*.f64 (*.f64 (+.f64 x y) (+.f64 #s(literal 2 binary64) (+.f64 x y))) (/.f64 (-.f64 x y) (-.f64 #s(literal 8 binary64) (*.f64 (+.f64 x y) (*.f64 (+.f64 x y) (+.f64 x y)))))))
(+.f64 (*.f64 (*.f64 (+.f64 x y) (+.f64 #s(literal 2 binary64) (+.f64 x y))) (/.f64 (-.f64 x y) (-.f64 #s(literal 8 binary64) (*.f64 (+.f64 x y) (*.f64 (+.f64 x y) (+.f64 x y)))))) (*.f64 #s(literal 4 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 8 binary64) (*.f64 (+.f64 x y) (*.f64 (+.f64 x y) (+.f64 x y)))))))
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(+.f64 (*.f64 (+.f64 #s(literal 2 binary64) y) (/.f64 y (+.f64 #s(literal -4 binary64) (*.f64 (+.f64 x y) (+.f64 x y))))) (*.f64 x (/.f64 y (+.f64 #s(literal -4 binary64) (*.f64 (+.f64 x y) (+.f64 x y))))))
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 (+.f64 x y) #s(literal -2 binary64)) y)) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 y (-.f64 #s(literal 2 binary64) (+.f64 x y))))
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(fma.f64 (+.f64 x y) (/.f64 y (+.f64 #s(literal -4 binary64) (*.f64 (+.f64 x y) (+.f64 x y)))) (*.f64 #s(literal 2 binary64) (/.f64 y (+.f64 #s(literal -4 binary64) (*.f64 (+.f64 x y) (+.f64 x y))))))
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(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 y (-.f64 #s(literal 2 binary64) (+.f64 x y))) (/.f64 y (-.f64 #s(literal 2 binary64) (+.f64 x y))))) (+.f64 #s(literal 0 binary64) (/.f64 y (-.f64 #s(literal 2 binary64) (+.f64 x y)))))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (+.f64 x y))) (*.f64 y (neg.f64 y))) y)
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (+.f64 x y))) (*.f64 y (*.f64 y (neg.f64 y)))) (fma.f64 y y #s(literal 0 binary64)))
(/.f64 (*.f64 (*.f64 y (neg.f64 y)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (+.f64 x y)))) y)
(/.f64 (*.f64 (*.f64 y (*.f64 y (neg.f64 y))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (+.f64 x y)))) (fma.f64 y y #s(literal 0 binary64)))
(/.f64 (*.f64 (/.f64 (neg.f64 y) (-.f64 #s(literal 8 binary64) (*.f64 (+.f64 x y) (*.f64 (+.f64 x y) (+.f64 x y))))) (+.f64 #s(literal 64 binary64) (*.f64 (*.f64 (+.f64 x y) (+.f64 #s(literal 2 binary64) (+.f64 x y))) (*.f64 (+.f64 x y) (*.f64 (+.f64 #s(literal 2 binary64) (+.f64 x y)) (*.f64 (+.f64 x y) (+.f64 #s(literal 2 binary64) (+.f64 x y)))))))) (+.f64 #s(literal 16 binary64) (*.f64 (*.f64 (+.f64 x y) (+.f64 #s(literal 2 binary64) (+.f64 x y))) (-.f64 (*.f64 (+.f64 x y) (+.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal 4 binary64)))))
(/.f64 (*.f64 (/.f64 (neg.f64 y) (-.f64 #s(literal 8 binary64) (*.f64 (+.f64 x y) (*.f64 (+.f64 x y) (+.f64 x y))))) (-.f64 #s(literal 16 binary64) (*.f64 (+.f64 x y) (*.f64 (+.f64 #s(literal 2 binary64) (+.f64 x y)) (*.f64 (+.f64 x y) (+.f64 #s(literal 2 binary64) (+.f64 x y))))))) (-.f64 #s(literal 4 binary64) (*.f64 (+.f64 x y) (+.f64 #s(literal 2 binary64) (+.f64 x y)))))
(/.f64 (*.f64 (/.f64 y (+.f64 #s(literal -4 binary64) (*.f64 (+.f64 x y) (+.f64 x y)))) (-.f64 #s(literal 4 binary64) (*.f64 (+.f64 x y) (+.f64 x y)))) (-.f64 #s(literal 2 binary64) (+.f64 x y)))
(/.f64 (*.f64 (/.f64 y (+.f64 #s(literal -4 binary64) (*.f64 (+.f64 x y) (+.f64 x y)))) (+.f64 #s(literal 8 binary64) (*.f64 (+.f64 x y) (*.f64 (+.f64 x y) (+.f64 x y))))) (+.f64 #s(literal 4 binary64) (*.f64 (+.f64 x y) (+.f64 (+.f64 x y) #s(literal -2 binary64)))))
(pow.f64 (/.f64 (+.f64 (+.f64 x y) #s(literal -2 binary64)) y) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 y (+.f64 (+.f64 x y) #s(literal -2 binary64))))
(*.f64 y (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 x y) #s(literal -2 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (+.f64 x y))) (neg.f64 y))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (+.f64 x y))) (pow.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1 binary64)))
(*.f64 (neg.f64 y) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (+.f64 x y))))
(*.f64 (/.f64 y (+.f64 (+.f64 x y) #s(literal -2 binary64))) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 y (-.f64 #s(literal 2 binary64) (+.f64 x y))))
(*.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 x y) #s(literal -2 binary64))) (neg.f64 y)))
(*.f64 (/.f64 y (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal -1 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 x y) #s(literal -2 binary64))) y)
(*.f64 (pow.f64 (-.f64 #s(literal 2 binary64) (+.f64 x y)) #s(literal -1/2 binary64)) (*.f64 (pow.f64 (-.f64 #s(literal 2 binary64) (+.f64 x y)) #s(literal -1/2 binary64)) (neg.f64 y)))
(*.f64 (/.f64 y (-.f64 #s(literal 8 binary64) (*.f64 (+.f64 x y) (*.f64 (+.f64 x y) (+.f64 x y))))) (neg.f64 (fma.f64 (+.f64 x y) (+.f64 #s(literal 2 binary64) (+.f64 x y)) #s(literal 4 binary64))))
(*.f64 (/.f64 y (-.f64 #s(literal 8 binary64) (*.f64 (+.f64 x y) (*.f64 (+.f64 x y) (+.f64 x y))))) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 x y) (+.f64 #s(literal 2 binary64) (+.f64 x y)) #s(literal 4 binary64)))))
(*.f64 (/.f64 y (-.f64 #s(literal 4 binary64) (*.f64 (+.f64 x y) (+.f64 x y)))) (+.f64 #s(literal -2 binary64) (-.f64 (neg.f64 y) x)))
(*.f64 (/.f64 y (-.f64 #s(literal 4 binary64) (*.f64 (+.f64 x y) (+.f64 x y)))) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (+.f64 x y)))))
(*.f64 (/.f64 (neg.f64 y) (-.f64 #s(literal 8 binary64) (*.f64 (+.f64 x y) (*.f64 (+.f64 x y) (+.f64 x y))))) (fma.f64 (+.f64 x y) (+.f64 #s(literal 2 binary64) (+.f64 x y)) #s(literal 4 binary64)))
(*.f64 (/.f64 (neg.f64 y) (-.f64 #s(literal 8 binary64) (*.f64 (+.f64 x y) (*.f64 (+.f64 x y) (+.f64 x y))))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 x y) (+.f64 #s(literal 2 binary64) (+.f64 x y)) #s(literal 4 binary64)))))
(*.f64 (/.f64 y (+.f64 #s(literal -4 binary64) (*.f64 (+.f64 x y) (+.f64 x y)))) (+.f64 #s(literal 2 binary64) (+.f64 x y)))
(*.f64 (/.f64 y (+.f64 #s(literal -4 binary64) (*.f64 (+.f64 x y) (+.f64 x y)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (+.f64 x y)))))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 8 binary64) (*.f64 (+.f64 x y) (*.f64 (+.f64 x y) (+.f64 x y))))) (*.f64 (fma.f64 (+.f64 x y) (+.f64 #s(literal 2 binary64) (+.f64 x y)) #s(literal 4 binary64)) (neg.f64 y)))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 4 binary64) (*.f64 (+.f64 x y) (+.f64 x y)))) (*.f64 (+.f64 #s(literal 2 binary64) (+.f64 x y)) (neg.f64 y)))
(*.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 8 binary64) (*.f64 (+.f64 x y) (*.f64 (+.f64 x y) (+.f64 x y))))) (/.f64 y (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 x y) (+.f64 #s(literal 2 binary64) (+.f64 x y)) #s(literal 4 binary64)))))
(*.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 4 binary64) (*.f64 (+.f64 x y) (+.f64 x y)))) (/.f64 y (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (+.f64 x y)))))
(*.f64 (pow.f64 (/.f64 (+.f64 (+.f64 x y) #s(literal -2 binary64)) y) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (+.f64 (+.f64 x y) #s(literal -2 binary64)) y) #s(literal -1/2 binary64)))
(*.f64 (*.f64 #s(literal 1 binary64) (/.f64 (neg.f64 y) (-.f64 #s(literal 8 binary64) (*.f64 (+.f64 x y) (*.f64 (+.f64 x y) (+.f64 x y)))))) (fma.f64 (+.f64 x y) (+.f64 #s(literal 2 binary64) (+.f64 x y)) #s(literal 4 binary64)))
(*.f64 (*.f64 #s(literal 1 binary64) (/.f64 y (+.f64 #s(literal -4 binary64) (*.f64 (+.f64 x y) (+.f64 x y))))) (+.f64 #s(literal 2 binary64) (+.f64 x y)))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal -1 binary64)) y)
(*.f64 (*.f64 (neg.f64 y) (pow.f64 (-.f64 #s(literal 2 binary64) (+.f64 x y)) #s(literal -1/2 binary64))) (pow.f64 (-.f64 #s(literal 2 binary64) (+.f64 x y)) #s(literal -1/2 binary64)))
(*.f64 (*.f64 #s(literal -1 binary64) (/.f64 y (-.f64 #s(literal 8 binary64) (*.f64 (+.f64 x y) (*.f64 (+.f64 x y) (+.f64 x y)))))) (fma.f64 (+.f64 x y) (+.f64 #s(literal 2 binary64) (+.f64 x y)) #s(literal 4 binary64)))
(*.f64 (*.f64 #s(literal -1 binary64) (/.f64 y (-.f64 #s(literal 4 binary64) (*.f64 (+.f64 x y) (+.f64 x y))))) (+.f64 #s(literal 2 binary64) (+.f64 x y)))
(+.f64 #s(literal 0 binary64) (neg.f64 y))
(-.f64 #s(literal 0 binary64) y)
(-.f64 (/.f64 #s(literal 0 binary64) (fma.f64 y y #s(literal 0 binary64))) y)
(-.f64 (/.f64 #s(literal 0 binary64) y) y)
(neg.f64 y)
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y y #s(literal 0 binary64)) (*.f64 y (*.f64 y (neg.f64 y)))))
(/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 y (neg.f64 y))))
(/.f64 (*.f64 y (*.f64 y y)) (neg.f64 (fma.f64 y y #s(literal 0 binary64))))
(/.f64 (*.f64 y y) (neg.f64 y))
(/.f64 (*.f64 y (*.f64 y (neg.f64 y))) (fma.f64 y y #s(literal 0 binary64)))
(/.f64 (*.f64 y (*.f64 y (neg.f64 y))) (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 y y) #s(literal 0 binary64))))
(/.f64 (*.f64 y (neg.f64 y)) y)
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 y (neg.f64 y))) y)
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y (neg.f64 y)))) (fma.f64 y y #s(literal 0 binary64)))
(/.f64 (*.f64 (*.f64 y (neg.f64 y)) #s(literal 1 binary64)) y)
(/.f64 (*.f64 (*.f64 y (*.f64 y (neg.f64 y))) #s(literal 1 binary64)) (fma.f64 y y #s(literal 0 binary64)))
(*.f64 #s(literal 1 binary64) (neg.f64 y))
(*.f64 y #s(literal -1 binary64))
(*.f64 (neg.f64 y) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) y)
(*.f64 (*.f64 y (*.f64 y (neg.f64 y))) (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal 0 binary64))))
(*.f64 (*.f64 y (neg.f64 y)) (/.f64 #s(literal 1 binary64) y))

simplify672.0ms (6.3%)

Memory
-35.6MiB live, 568.2MiB allocated
Algorithm
1×egg-herbie
Rules
9 962×lower-fma.f64
9 962×lower-fma.f32
4 074×lower-+.f64
4 074×lower-+.f32
3 502×lower-*.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04102183
112792047
239181930
084451829
Stop Event
1×iter limit
1×node limit
Counts
204 → 195
Calls
Call 1
Inputs
(* -1 (/ y (- 2 y)))
(+ (* -1 (/ y (- 2 y))) (* x (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2)))))
(+ (* -1 (/ y (- 2 y))) (* x (- (+ (/ 1 (- 2 y)) (/ (* x (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2)))) (- 2 y))) (/ y (pow (- 2 y) 2)))))
(+ (* -1 (/ y (- 2 y))) (* x (- (+ (* x (- (/ (* x (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2)))) (pow (- 2 y) 2)) (* -1 (/ (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2))) (- 2 y))))) (/ 1 (- 2 y))) (/ y (pow (- 2 y) 2)))))
-1
(- (* 2 (/ y x)) (+ 1 (* 2 (/ 1 x))))
(- (+ (* 2 (/ y x)) (/ (* (- 2 y) (- (* 2 y) 2)) (pow x 2))) (+ 1 (* 2 (/ 1 x))))
(- (+ (* 2 (/ y x)) (/ (* (pow (- 2 y) 2) (- (* 2 y) 2)) (pow x 3))) (+ 1 (+ (* -1 (/ (* (- 2 y) (- (* 2 y) 2)) (pow x 2))) (* 2 (/ 1 x)))))
-1
(- (* 2 (/ y x)) (+ 1 (* 2 (/ 1 x))))
(- (* -1 (/ (+ (* -1 (- (* 2 y) 2)) (* -1 (/ (* (- 2 y) (- (* 2 y) 2)) x))) x)) 1)
(- (* -1 (/ (+ (* -1 (- (* 2 y) 2)) (* -1 (/ (+ (* (- 2 y) (- (* 2 y) 2)) (/ (* (pow (- 2 y) 2) (- (* 2 y) 2)) x)) x))) x)) 1)
(/ x (- 2 x))
(+ (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x)))
(+ (* y (- (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 3))) (/ 1 (pow (- 2 x) 2))))) (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x)))
(+ (* y (- (* y (- (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 4))) (/ 1 (pow (- 2 x) 3))))) (+ (* -1 (/ x (pow (- 2 x) 3))) (/ 1 (pow (- 2 x) 2))))) (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x)))
1
(- (+ 1 (* -1 (/ x y))) (* -1 (/ (- 2 x) y)))
(- (+ 1 (+ (* -1 (/ x y)) (/ (* (- 2 x) (- (* -1 x) (* -1 (- 2 x)))) (pow y 2)))) (* -1 (/ (- 2 x) y)))
(- (+ 1 (+ (* -1 (/ x y)) (/ (* (pow (- 2 x) 2) (- (* -1 x) (* -1 (- 2 x)))) (pow y 3)))) (+ (* -1 (/ (* (- 2 x) (- (* -1 x) (* -1 (- 2 x)))) (pow y 2))) (* -1 (/ (- 2 x) y))))
1
(+ 1 (* -1 (/ (- (* 2 x) 2) y)))
(+ 1 (* -1 (/ (- (+ (* 2 x) (/ (* (- 2 x) (- (* 2 x) 2)) y)) 2) y)))
(+ 1 (* -1 (/ (- (+ (* -1 (/ (- (* -1 (/ (* (pow (- 2 x) 2) (- (* 2 x) 2)) y)) (* (- 2 x) (- (* 2 x) 2))) y)) (* 2 x)) 2) y)))
(/ 1 (- 2 y))
(+ (/ 1 (- 2 y)) (/ x (pow (- 2 y) 2)))
(+ (* x (+ (/ 1 (pow (- 2 y) 2)) (/ x (pow (- 2 y) 3)))) (/ 1 (- 2 y)))
(+ (* x (+ (* x (+ (/ 1 (pow (- 2 y) 3)) (/ x (pow (- 2 y) 4)))) (/ 1 (pow (- 2 y) 2)))) (/ 1 (- 2 y)))
(/ -1 x)
(/ (- (/ y x) (+ 1 (* 2 (/ 1 x)))) x)
(/ (- (+ (/ y x) (/ (* (- 2 y) (- y 2)) (pow x 2))) (+ 1 (* 2 (/ 1 x)))) x)
(/ (- (+ (/ y x) (/ (* (pow (- 2 y) 2) (- y 2)) (pow x 3))) (+ 1 (+ (* -1 (/ (* (- 2 y) (- y 2)) (pow x 2))) (* 2 (/ 1 x))))) x)
(/ -1 x)
(* -1 (/ (+ 1 (* -1 (/ (- y 2) x))) x))
(* -1 (/ (+ 1 (* -1 (/ (- (+ y (/ (* (- 2 y) (- y 2)) x)) 2) x))) x))
(* -1 (/ (+ 1 (* -1 (/ (- (+ y (* -1 (/ (- (* -1 (/ (* (pow (- 2 y) 2) (- y 2)) x)) (* (- 2 y) (- y 2))) x))) 2) x))) x))
(/ 1 (- 2 x))
(+ (/ 1 (- 2 x)) (/ y (pow (- 2 x) 2)))
(+ (* y (+ (/ 1 (pow (- 2 x) 2)) (/ y (pow (- 2 x) 3)))) (/ 1 (- 2 x)))
(+ (* y (+ (* y (+ (/ 1 (pow (- 2 x) 3)) (/ y (pow (- 2 x) 4)))) (/ 1 (pow (- 2 x) 2)))) (/ 1 (- 2 x)))
(/ -1 y)
(/ (- (/ x y) (+ 1 (* 2 (/ 1 y)))) y)
(/ (- (+ (/ x y) (/ (* (- 2 x) (- x 2)) (pow y 2))) (+ 1 (* 2 (/ 1 y)))) y)
(/ (- (+ (/ x y) (/ (* (pow (- 2 x) 2) (- x 2)) (pow y 3))) (+ 1 (+ (* -1 (/ (* (- 2 x) (- x 2)) (pow y 2))) (* 2 (/ 1 y))))) y)
(/ -1 y)
(* -1 (/ (+ 1 (* -1 (/ (- x 2) y))) y))
(* -1 (/ (+ 1 (* -1 (/ (- (+ x (/ (* (- 2 x) (- x 2)) y)) 2) y))) y))
(* -1 (/ (+ 1 (* -1 (/ (- (+ x (* -1 (/ (- (* -1 (/ (* (pow (- 2 x) 2) (- x 2)) y)) (* (- 2 x) (- x 2))) y))) 2) y))) y))
(- 2 y)
(- (+ 2 (* -1 x)) y)
(- (+ 2 (* -1 x)) y)
(- (+ 2 (* -1 x)) y)
(* -1 x)
(* x (- (* 2 (/ 1 x)) (+ 1 (/ y x))))
(* x (- (* 2 (/ 1 x)) (+ 1 (/ y x))))
(* x (- (* 2 (/ 1 x)) (+ 1 (/ y x))))
(* -1 x)
(* -1 (* x (+ 1 (* -1 (/ (- 2 y) x)))))
(* -1 (* x (+ 1 (* -1 (/ (- 2 y) x)))))
(* -1 (* x (+ 1 (* -1 (/ (- 2 y) x)))))
(- 2 x)
(- (+ 2 (* -1 y)) x)
(- (+ 2 (* -1 y)) x)
(- (+ 2 (* -1 y)) x)
(* -1 y)
(* y (- (* 2 (/ 1 y)) (+ 1 (/ x y))))
(* y (- (* 2 (/ 1 y)) (+ 1 (/ x y))))
(* y (- (* 2 (/ 1 y)) (+ 1 (/ x y))))
(* -1 y)
(* -1 (* y (+ 1 (* -1 (/ (- 2 x) y)))))
(* -1 (* y (+ 1 (* -1 (/ (- 2 x) y)))))
(* -1 (* y (+ 1 (* -1 (/ (- 2 x) y)))))
y
(+ x y)
(+ x y)
(+ x y)
x
(* x (+ 1 (/ y x)))
(* x (+ 1 (/ y x)))
(* x (+ 1 (/ y x)))
x
(* -1 (* x (- (* -1 (/ y x)) 1)))
(* -1 (* x (- (* -1 (/ y x)) 1)))
(* -1 (* x (- (* -1 (/ y x)) 1)))
x
(+ x y)
(+ x y)
(+ x y)
y
(* y (+ 1 (/ x y)))
(* y (+ 1 (/ x y)))
(* y (+ 1 (/ x y)))
y
(* -1 (* y (- (* -1 (/ x y)) 1)))
(* -1 (* y (- (* -1 (/ x y)) 1)))
(* -1 (* y (- (* -1 (/ x y)) 1)))
(* 1/2 x)
(* x (+ 1/2 (* 1/4 x)))
(* x (+ 1/2 (* 1/4 x)))
(* x (+ 1/2 (* 1/4 x)))
(* 1/4 (pow x 2))
(* (pow x 2) (+ 1/4 (* 1/2 (/ 1 x))))
(* (pow x 2) (+ 1/4 (* 1/2 (/ 1 x))))
(* (pow x 2) (+ 1/4 (* 1/2 (/ 1 x))))
(* 1/4 (pow x 2))
(* (pow x 2) (+ 1/4 (* 1/2 (/ 1 x))))
(* (pow x 2) (+ 1/4 (* 1/2 (/ 1 x))))
(* (pow x 2) (+ 1/4 (* 1/2 (/ 1 x))))
1/2
(+ 1/2 (* 1/4 x))
(+ 1/2 (* 1/4 x))
(+ 1/2 (* 1/4 x))
(* 1/4 x)
(* x (+ 1/4 (* 1/2 (/ 1 x))))
(* x (+ 1/4 (* 1/2 (/ 1 x))))
(* x (+ 1/4 (* 1/2 (/ 1 x))))
(* 1/4 x)
(* x (+ 1/4 (* 1/2 (/ 1 x))))
(* x (+ 1/4 (* 1/2 (/ 1 x))))
(* x (+ 1/4 (* 1/2 (/ 1 x))))
(* -1/2 y)
(+ (* -1/2 y) (* 1/2 x))
(+ (* -1/2 y) (* 1/2 x))
(+ (* -1/2 y) (* 1/2 x))
(* 1/2 x)
(* x (+ 1/2 (* -1/2 (/ y x))))
(* x (+ 1/2 (* -1/2 (/ y x))))
(* x (+ 1/2 (* -1/2 (/ y x))))
(* 1/2 x)
(* -1 (* x (- (* 1/2 (/ y x)) 1/2)))
(* -1 (* x (- (* 1/2 (/ y x)) 1/2)))
(* -1 (* x (- (* 1/2 (/ y x)) 1/2)))
(* 1/2 x)
(+ (* -1/2 y) (* 1/2 x))
(+ (* -1/2 y) (* 1/2 x))
(+ (* -1/2 y) (* 1/2 x))
(* -1/2 y)
(* y (- (* 1/2 (/ x y)) 1/2))
(* y (- (* 1/2 (/ x y)) 1/2))
(* y (- (* 1/2 (/ x y)) 1/2))
(* -1/2 y)
(* -1 (* y (+ 1/2 (* -1/2 (/ x y)))))
(* -1 (* y (+ 1/2 (* -1/2 (/ x y)))))
(* -1 (* y (+ 1/2 (* -1/2 (/ x y)))))
(* -1 y)
(- x y)
(- x y)
(- x y)
x
(* x (+ 1 (* -1 (/ y x))))
(* x (+ 1 (* -1 (/ y x))))
(* x (+ 1 (* -1 (/ y x))))
x
(* -1 (* x (- (/ y x) 1)))
(* -1 (* x (- (/ y x) 1)))
(* -1 (* x (- (/ y x) 1)))
x
(+ x (* -1 y))
(+ x (* -1 y))
(+ x (* -1 y))
(* -1 y)
(* y (- (/ x y) 1))
(* y (- (/ x y) 1))
(* y (- (/ x y) 1))
(* -1 y)
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(* -1 (/ y (- 2 x)))
(* y (- (* -1 (/ y (pow (- 2 x) 2))) (/ 1 (- 2 x))))
(* y (- (* y (- (* -1 (/ y (pow (- 2 x) 3))) (/ 1 (pow (- 2 x) 2)))) (/ 1 (- 2 x))))
(* y (- (* y (- (* y (- (* -1 (/ y (pow (- 2 x) 4))) (/ 1 (pow (- 2 x) 3)))) (/ 1 (pow (- 2 x) 2)))) (/ 1 (- 2 x))))
1
(- (+ 1 (* 2 (/ 1 y))) (/ x y))
(- (+ 1 (/ (pow (- 2 x) 2) (pow y 2))) (* -1 (/ (- 2 x) y)))
(- (+ 1 (/ (pow (- 2 x) 3) (pow y 3))) (+ (* -1 (/ (- 2 x) y)) (* -1 (/ (pow (- 2 x) 2) (pow y 2)))))
1
(+ 1 (* -1 (/ (- x 2) y)))
(+ 1 (* -1 (/ (- (+ x (/ (* (- 2 x) (- x 2)) y)) 2) y)))
(+ 1 (* -1 (/ (- (+ x (* -1 (/ (- (* -1 (/ (* (pow (- 2 x) 2) (- x 2)) y)) (* (- 2 x) (- x 2))) y))) 2) y)))
(* -1 (/ y (- 2 y)))
(+ (* -1 (/ y (- 2 y))) (* -1 (/ (* x y) (pow (- 2 y) 2))))
(+ (* -1 (/ y (- 2 y))) (* x (+ (* -1 (/ y (pow (- 2 y) 2))) (* -1 (/ (* x y) (pow (- 2 y) 3))))))
(+ (* -1 (/ y (- 2 y))) (* x (+ (* -1 (/ y (pow (- 2 y) 2))) (* x (+ (* -1 (/ y (pow (- 2 y) 3))) (* -1 (/ (* x y) (pow (- 2 y) 4))))))))
(/ y x)
(/ (+ y (/ (* y (- 2 y)) x)) x)
(/ (+ y (+ (/ (* y (- 2 y)) x) (/ (* y (pow (- 2 y) 2)) (pow x 2)))) x)
(/ (+ y (+ (/ (* y (- 2 y)) x) (+ (/ (* y (pow (- 2 y) 2)) (pow x 2)) (/ (* y (pow (- 2 y) 3)) (pow x 3))))) x)
(/ y x)
(* -1 (/ (+ (* -1 y) (* -1 (/ (* y (- 2 y)) x))) x))
(* -1 (/ (+ (* -1 y) (* -1 (/ (+ (* y (- 2 y)) (/ (* y (pow (- 2 y) 2)) x)) x))) x))
(* -1 (/ (+ (* -1 y) (* -1 (/ (+ (* -1 (/ (+ (* -1 (* y (pow (- 2 y) 2))) (* -1 (/ (* y (pow (- 2 y) 3)) x))) x)) (* y (- 2 y))) x))) x))
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
Outputs
(* -1 (/ y (- 2 y)))
(/.f64 y (+.f64 y #s(literal -2 binary64)))
(+ (* -1 (/ y (- 2 y))) (* x (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2)))))
(fma.f64 x (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) y)) (*.f64 (/.f64 y (-.f64 #s(literal 2 binary64) y)) (-.f64 #s(literal -1 binary64) (/.f64 x (-.f64 #s(literal 2 binary64) y)))))
(+ (* -1 (/ y (- 2 y))) (* x (- (+ (/ 1 (- 2 y)) (/ (* x (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2)))) (- 2 y))) (/ y (pow (- 2 y) 2)))))
(fma.f64 x (fma.f64 x (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) y)) (/.f64 y (*.f64 (-.f64 #s(literal 2 binary64) y) (+.f64 y #s(literal -2 binary64))))) (-.f64 #s(literal 2 binary64) y)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) y))) (*.f64 (/.f64 y (-.f64 #s(literal 2 binary64) y)) (-.f64 #s(literal -1 binary64) (/.f64 x (-.f64 #s(literal 2 binary64) y)))))
(+ (* -1 (/ y (- 2 y))) (* x (- (+ (* x (- (/ (* x (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2)))) (pow (- 2 y) 2)) (* -1 (/ (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2))) (- 2 y))))) (/ 1 (- 2 y))) (/ y (pow (- 2 y) 2)))))
(fma.f64 x (fma.f64 x (*.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) y)) (/.f64 y (*.f64 (-.f64 #s(literal 2 binary64) y) (+.f64 y #s(literal -2 binary64))))) (-.f64 #s(literal 2 binary64) y)) (+.f64 (/.f64 x (-.f64 #s(literal 2 binary64) y)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) y))) (*.f64 (/.f64 y (-.f64 #s(literal 2 binary64) y)) (-.f64 #s(literal -1 binary64) (/.f64 x (-.f64 #s(literal 2 binary64) y)))))
-1
#s(literal -1 binary64)
(- (* 2 (/ y x)) (+ 1 (* 2 (/ 1 x))))
(+.f64 (/.f64 (fma.f64 y #s(literal 2 binary64) #s(literal -2 binary64)) x) #s(literal -1 binary64))
(- (+ (* 2 (/ y x)) (/ (* (- 2 y) (- (* 2 y) 2)) (pow x 2))) (+ 1 (* 2 (/ 1 x))))
(-.f64 (fma.f64 (-.f64 #s(literal 2 binary64) y) (/.f64 (fma.f64 y #s(literal 2 binary64) #s(literal -2 binary64)) (*.f64 x x)) (/.f64 (fma.f64 y #s(literal 2 binary64) #s(literal -2 binary64)) x)) #s(literal 1 binary64))
(- (+ (* 2 (/ y x)) (/ (* (pow (- 2 y) 2) (- (* 2 y) 2)) (pow x 3))) (+ 1 (+ (* -1 (/ (* (- 2 y) (- (* 2 y) 2)) (pow x 2))) (* 2 (/ 1 x)))))
(fma.f64 (-.f64 #s(literal 2 binary64) y) (*.f64 (-.f64 #s(literal 2 binary64) y) (/.f64 (fma.f64 y #s(literal 2 binary64) #s(literal -2 binary64)) (*.f64 x (*.f64 x x)))) (-.f64 (fma.f64 (-.f64 #s(literal 2 binary64) y) (/.f64 (fma.f64 y #s(literal 2 binary64) #s(literal -2 binary64)) (*.f64 x x)) (/.f64 (fma.f64 y #s(literal 2 binary64) #s(literal -2 binary64)) x)) #s(literal 1 binary64)))
-1
#s(literal -1 binary64)
(- (* 2 (/ y x)) (+ 1 (* 2 (/ 1 x))))
(+.f64 (/.f64 (fma.f64 y #s(literal 2 binary64) #s(literal -2 binary64)) x) #s(literal -1 binary64))
(- (* -1 (/ (+ (* -1 (- (* 2 y) 2)) (* -1 (/ (* (- 2 y) (- (* 2 y) 2)) x))) x)) 1)
(-.f64 #s(literal -1 binary64) (/.f64 (*.f64 (fma.f64 y #s(literal 2 binary64) #s(literal -2 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 y #s(literal -2 binary64)) x))) x))
(- (* -1 (/ (+ (* -1 (- (* 2 y) 2)) (* -1 (/ (+ (* (- 2 y) (- (* 2 y) 2)) (/ (* (pow (- 2 y) 2) (- (* 2 y) 2)) x)) x))) x)) 1)
(+.f64 #s(literal -1 binary64) (/.f64 (+.f64 (fma.f64 y #s(literal 2 binary64) #s(literal -2 binary64)) (/.f64 (*.f64 (fma.f64 y #s(literal 2 binary64) #s(literal -2 binary64)) (-.f64 (fma.f64 (+.f64 y #s(literal -2 binary64)) (/.f64 (+.f64 y #s(literal -2 binary64)) x) #s(literal 2 binary64)) y)) x)) x))
(/ x (- 2 x))
(/.f64 x (-.f64 #s(literal 2 binary64) x))
(+ (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x)))
(fma.f64 y (/.f64 x (*.f64 (-.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 2 binary64) x))) (+.f64 (/.f64 y (+.f64 x #s(literal -2 binary64))) (/.f64 x (-.f64 #s(literal 2 binary64) x))))
(+ (* y (- (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 3))) (/ 1 (pow (- 2 x) 2))))) (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x)))
(fma.f64 y (+.f64 (fma.f64 y (/.f64 x (*.f64 (-.f64 #s(literal 2 binary64) x) (*.f64 (-.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 2 binary64) x)))) (/.f64 y (*.f64 (-.f64 #s(literal 2 binary64) x) (+.f64 x #s(literal -2 binary64))))) (+.f64 (/.f64 x (*.f64 (-.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 2 binary64) x))) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 2 binary64) x)))) (/.f64 x (-.f64 #s(literal 2 binary64) x)))
(+ (* y (- (* y (- (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 4))) (/ 1 (pow (- 2 x) 3))))) (+ (* -1 (/ x (pow (- 2 x) 3))) (/ 1 (pow (- 2 x) 2))))) (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x)))
(fma.f64 y (+.f64 (fma.f64 y (-.f64 (fma.f64 y (/.f64 x (pow.f64 (-.f64 #s(literal 2 binary64) x) #s(literal 4 binary64))) (/.f64 y (*.f64 (-.f64 #s(literal 2 binary64) x) (*.f64 (-.f64 #s(literal 2 binary64) x) (+.f64 x #s(literal -2 binary64)))))) (+.f64 (/.f64 x (*.f64 (-.f64 #s(literal 2 binary64) x) (*.f64 (-.f64 #s(literal 2 binary64) x) (+.f64 x #s(literal -2 binary64))))) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 2 binary64) x))))) (/.f64 x (*.f64 (-.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 2 binary64) x)))) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 2 binary64) x))) (/.f64 x (-.f64 #s(literal 2 binary64) x)))
1
#s(literal 1 binary64)
(- (+ 1 (* -1 (/ x y))) (* -1 (/ (- 2 x) y)))
(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 2 binary64) (+.f64 x x)) y))
(- (+ 1 (+ (* -1 (/ x y)) (/ (* (- 2 x) (- (* -1 x) (* -1 (- 2 x)))) (pow y 2)))) (* -1 (/ (- 2 x) y)))
(fma.f64 (-.f64 #s(literal 2 binary64) x) (/.f64 (-.f64 #s(literal 2 binary64) (+.f64 x x)) (*.f64 y y)) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 2 binary64) (+.f64 x x)) y)))
(- (+ 1 (+ (* -1 (/ x y)) (/ (* (pow (- 2 x) 2) (- (* -1 x) (* -1 (- 2 x)))) (pow y 3)))) (+ (* -1 (/ (* (- 2 x) (- (* -1 x) (* -1 (- 2 x)))) (pow y 2))) (* -1 (/ (- 2 x) y))))
(+.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) (fma.f64 (/.f64 (-.f64 #s(literal 2 binary64) (+.f64 x x)) (*.f64 y y)) (-.f64 (*.f64 (-.f64 #s(literal 2 binary64) x) (/.f64 (-.f64 #s(literal 2 binary64) x) y)) (+.f64 x #s(literal -2 binary64))) (/.f64 (-.f64 #s(literal 2 binary64) x) y)))
1
#s(literal 1 binary64)
(+ 1 (* -1 (/ (- (* 2 x) 2) y)))
(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 2 binary64) (+.f64 x x)) y))
(+ 1 (* -1 (/ (- (+ (* 2 x) (/ (* (- 2 x) (- (* 2 x) 2)) y)) 2) y)))
(+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (-.f64 #s(literal 2 binary64) x) (/.f64 (-.f64 #s(literal 2 binary64) (+.f64 x x)) y) (-.f64 #s(literal 2 binary64) (+.f64 x x))) y))
(+ 1 (* -1 (/ (- (+ (* -1 (/ (- (* -1 (/ (* (pow (- 2 x) 2) (- (* 2 x) 2)) y)) (* (- 2 x) (- (* 2 x) 2))) y)) (* 2 x)) 2) y)))
(-.f64 #s(literal 1 binary64) (/.f64 (+.f64 (+.f64 x (+.f64 x #s(literal -2 binary64))) (/.f64 (*.f64 (+.f64 x (+.f64 x #s(literal -2 binary64))) (fma.f64 (-.f64 #s(literal 2 binary64) x) (/.f64 (-.f64 #s(literal 2 binary64) x) y) (-.f64 #s(literal 2 binary64) x))) y)) y))
(/ 1 (- 2 y))
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) y))
(+ (/ 1 (- 2 y)) (/ x (pow (- 2 y) 2)))
(+.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) y)) (/.f64 x (*.f64 (-.f64 #s(literal 2 binary64) y) (-.f64 #s(literal 2 binary64) y))))
(+ (* x (+ (/ 1 (pow (- 2 y) 2)) (/ x (pow (- 2 y) 3)))) (/ 1 (- 2 y)))
(+.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) y)) (fma.f64 x (/.f64 x (*.f64 (-.f64 #s(literal 2 binary64) y) (*.f64 (-.f64 #s(literal 2 binary64) y) (-.f64 #s(literal 2 binary64) y)))) (/.f64 x (*.f64 (-.f64 #s(literal 2 binary64) y) (-.f64 #s(literal 2 binary64) y)))))
(+ (* x (+ (* x (+ (/ 1 (pow (- 2 y) 3)) (/ x (pow (- 2 y) 4)))) (/ 1 (pow (- 2 y) 2)))) (/ 1 (- 2 y)))
(fma.f64 x (fma.f64 x (/.f64 x (pow.f64 (-.f64 #s(literal 2 binary64) y) #s(literal 4 binary64))) (/.f64 x (*.f64 (-.f64 #s(literal 2 binary64) y) (*.f64 (-.f64 #s(literal 2 binary64) y) (-.f64 #s(literal 2 binary64) y))))) (+.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) y)) (/.f64 x (*.f64 (-.f64 #s(literal 2 binary64) y) (-.f64 #s(literal 2 binary64) y)))))
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(/ (- (/ y x) (+ 1 (* 2 (/ 1 x)))) x)
(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 y #s(literal -2 binary64)) x)) x)
(/ (- (+ (/ y x) (/ (* (- 2 y) (- y 2)) (pow x 2))) (+ 1 (* 2 (/ 1 x)))) x)
(/.f64 (-.f64 (fma.f64 (-.f64 #s(literal 2 binary64) y) (/.f64 (+.f64 y #s(literal -2 binary64)) (*.f64 x x)) #s(literal -1 binary64)) (/.f64 (-.f64 #s(literal 2 binary64) y) x)) x)
(/ (- (+ (/ y x) (/ (* (pow (- 2 y) 2) (- y 2)) (pow x 3))) (+ 1 (+ (* -1 (/ (* (- 2 y) (- y 2)) (pow x 2))) (* 2 (/ 1 x))))) x)
(/.f64 (-.f64 (fma.f64 (*.f64 (-.f64 #s(literal 2 binary64) y) (-.f64 #s(literal 2 binary64) y)) (/.f64 (+.f64 y #s(literal -2 binary64)) (*.f64 x (*.f64 x x))) #s(literal -1 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 y #s(literal -2 binary64)) x)) (/.f64 (-.f64 #s(literal 2 binary64) y) x))) x)
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(* -1 (/ (+ 1 (* -1 (/ (- y 2) x))) x))
(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 y #s(literal -2 binary64)) x)) x)
(* -1 (/ (+ 1 (* -1 (/ (- (+ y (/ (* (- 2 y) (- y 2)) x)) 2) x))) x))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 (+.f64 y #s(literal -2 binary64)) (/.f64 (+.f64 y #s(literal -2 binary64)) x) #s(literal 2 binary64)) y) x)) (neg.f64 x))
(* -1 (/ (+ 1 (* -1 (/ (- (+ y (* -1 (/ (- (* -1 (/ (* (pow (- 2 y) 2) (- y 2)) x)) (* (- 2 y) (- y 2))) x))) 2) x))) x))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (*.f64 (-.f64 #s(literal 2 binary64) y) (-.f64 (fma.f64 (+.f64 y #s(literal -2 binary64)) (/.f64 (+.f64 y #s(literal -2 binary64)) x) #s(literal 2 binary64)) y)) x) (-.f64 #s(literal 2 binary64) y)) x)) (neg.f64 x))
(/ 1 (- 2 x))
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) x))
(+ (/ 1 (- 2 x)) (/ y (pow (- 2 x) 2)))
(+.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) x)) (/.f64 y (*.f64 (-.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 2 binary64) x))))
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eval209.0ms (2%)

Memory
0.7MiB live, 479.9MiB allocated
Compiler

Compiled 32 811 to 3 038 computations (90.7% saved)

prune167.0ms (1.6%)

Memory
-5.6MiB live, 563.1MiB allocated
Pruning

20 alts after pruning (12 fresh and 8 done)

PrunedKeptTotal
New1 39431 397
Fresh099
Picked235
Done055
Total1 396201 416
Accuracy
100.0%
Counts
1 416 → 20
Alt Table
Click to see full alt table
StatusAccuracyProgram
40.9%
(/.f64 (-.f64 y x) x)
✓100.0%
(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y)))
✓60.0%
(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) x))
▶40.1%
(/.f64 (-.f64 x y) (neg.f64 y))
▶49.3%
(/.f64 y (+.f64 (+.f64 x y) #s(literal -2 binary64)))
▶48.9%
(/.f64 y (+.f64 y #s(literal -2 binary64)))
✓51.8%
(/.f64 x (-.f64 #s(literal 2 binary64) x))
✓99.9%
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 2 binary64) (+.f64 x y)) (-.f64 x y)))
48.9%
(/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal -2 binary64) y) #s(literal 1 binary64)))
41.4%
(+.f64 (/.f64 (fma.f64 y #s(literal 2 binary64) #s(literal -2 binary64)) x) #s(literal -1 binary64))
40.9%
(+.f64 (/.f64 y x) #s(literal -1 binary64))
40.3%
(+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 2 binary64)) y))
40.1%
(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 2 binary64) x) y))
✓99.8%
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (+.f64 x y))) (-.f64 x y))
▶20.9%
(*.f64 (-.f64 y x) #s(literal -1/2 binary64))
11.0%
(*.f64 y #s(literal -1/2 binary64))
✓12.6%
(*.f64 x (fma.f64 x #s(literal 1/4 binary64) #s(literal 1/2 binary64)))
▶13.2%
(*.f64 x #s(literal 1/2 binary64))
✓39.9%
#s(literal 1 binary64)
✓40.6%
#s(literal -1 binary64)
Compiler

Compiled 253 to 184 computations (27.3% saved)

simplify63.0ms (0.6%)

Memory
20.0MiB live, 97.9MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 11 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(neg.f64 y)
✓cost-diff0
(-.f64 x y)
✓cost-diff128
(/.f64 (-.f64 x y) (neg.f64 y))
✓cost-diff0
(+.f64 y #s(literal -2 binary64))
✓cost-diff0
(/.f64 y (+.f64 y #s(literal -2 binary64)))
✓cost-diff0
(-.f64 y x)
✓cost-diff0
(*.f64 (-.f64 y x) #s(literal -1/2 binary64))
✓cost-diff0
(*.f64 x #s(literal 1/2 binary64))
✓cost-diff0
(+.f64 x y)
✓cost-diff0
(+.f64 (+.f64 x y) #s(literal -2 binary64))
✓cost-diff0
(/.f64 y (+.f64 (+.f64 x y) #s(literal -2 binary64)))
Rules
656×lower-fma.f64
656×lower-fma.f32
384×lower-*.f32
380×lower-*.f64
294×div-sub
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01657
02757
14557
28256
314256
423756
549356
696956
7137056
8158356
9161656
10162156
11162956
0162956
Stop Event
1×iter limit
1×saturated
1×iter limit
Calls
Call 1
Inputs
(/.f64 y (+.f64 (+.f64 x y) #s(literal -2 binary64)))
y
(+.f64 (+.f64 x y) #s(literal -2 binary64))
(+.f64 x y)
x
#s(literal -2 binary64)
(*.f64 x #s(literal 1/2 binary64))
x
#s(literal 1/2 binary64)
(*.f64 (-.f64 y x) #s(literal -1/2 binary64))
(-.f64 y x)
y
x
#s(literal -1/2 binary64)
(/.f64 y (+.f64 y #s(literal -2 binary64)))
y
(+.f64 y #s(literal -2 binary64))
#s(literal -2 binary64)
(/.f64 (-.f64 x y) (neg.f64 y))
(-.f64 x y)
x
y
(neg.f64 y)
Outputs
(/.f64 y (+.f64 (+.f64 x y) #s(literal -2 binary64)))
(/.f64 y (+.f64 y (+.f64 x #s(literal -2 binary64))))
y
(+.f64 (+.f64 x y) #s(literal -2 binary64))
(+.f64 y (+.f64 x #s(literal -2 binary64)))
(+.f64 x y)
(+.f64 y x)
x
#s(literal -2 binary64)
(*.f64 x #s(literal 1/2 binary64))
x
#s(literal 1/2 binary64)
(*.f64 (-.f64 y x) #s(literal -1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (-.f64 x y))
(-.f64 y x)
y
x
#s(literal -1/2 binary64)
(/.f64 y (+.f64 y #s(literal -2 binary64)))
y
(+.f64 y #s(literal -2 binary64))
#s(literal -2 binary64)
(/.f64 (-.f64 x y) (neg.f64 y))
(-.f64 #s(literal 1 binary64) (/.f64 x y))
(-.f64 x y)
x
y
(neg.f64 y)

localize47.0ms (0.4%)

Memory
14.7MiB live, 91.5MiB allocated
Localize:

Found 11 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(-.f64 x y)
✓accuracy100.0%
(neg.f64 y)
✓accuracy100.0%
(/.f64 (-.f64 x y) (neg.f64 y))
✓accuracy100.0%
(+.f64 y #s(literal -2 binary64))
✓accuracy100.0%
(/.f64 y (+.f64 y #s(literal -2 binary64)))
✓accuracy100.0%
(-.f64 y x)
✓accuracy100.0%
(*.f64 (-.f64 y x) #s(literal -1/2 binary64))
✓accuracy100.0%
(*.f64 x #s(literal 1/2 binary64))
✓accuracy100.0%
(+.f64 x y)
✓accuracy100.0%
(+.f64 (+.f64 x y) #s(literal -2 binary64))
✓accuracy100.0%
(/.f64 y (+.f64 (+.f64 x y) #s(literal -2 binary64)))
Samples
30.0ms255×0valid
0.0ms1×1valid
Compiler

Compiled 59 to 18 computations (69.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 19.0ms
ival-div: 5.0ms (26.8% of total)
ival-add: 4.0ms (21.4% of total)
ival-mult: 3.0ms (16.1% of total)
ival-neg: 3.0ms (16.1% of total)
ival-sub: 2.0ms (10.7% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series15.0ms (0.1%)

Memory
-15.3MiB live, 23.2MiB allocated
Counts
11 → 216
Calls
Call 1
Inputs
#<alt (/.f64 y (+.f64 (+.f64 x y) #s(literal -2 binary64)))>
#<alt (+.f64 (+.f64 x y) #s(literal -2 binary64))>
#<alt (+.f64 x y)>
#<alt (*.f64 x #s(literal 1/2 binary64))>
#<alt (*.f64 (-.f64 y x) #s(literal -1/2 binary64))>
#<alt (-.f64 y x)>
#<alt (/.f64 y (+.f64 y #s(literal -2 binary64)))>
#<alt (+.f64 y #s(literal -2 binary64))>
#<alt (/.f64 (-.f64 x y) (neg.f64 y))>
#<alt (-.f64 x y)>
#<alt (neg.f64 y)>
Outputs
#<alt (/ y (- x 2))>
#<alt (* y (+ (* -1 (/ y (pow (- x 2) 2))) (/ 1 (- x 2))))>
#<alt (* y (+ (* y (- (/ y (pow (- x 2) 3)) (/ 1 (pow (- x 2) 2)))) (/ 1 (- x 2))))>
#<alt (* y (+ (* y (- (* y (+ (* -1 (/ y (pow (- x 2) 4))) (/ 1 (pow (- x 2) 3)))) (/ 1 (pow (- x 2) 2)))) (/ 1 (- x 2))))>
#<alt 1>
#<alt (- (+ 1 (* 2 (/ 1 y))) (/ x y))>
#<alt (- (+ 1 (+ (* -1 (/ (* (- 2 x) (- x 2)) (pow y 2))) (* 2 (/ 1 y)))) (/ x y))>
#<alt (- (+ 1 (+ (* 2 (/ 1 y)) (/ (* (- 2 x) (pow (- x 2) 2)) (pow y 3)))) (+ (/ x y) (/ (* (- 2 x) (- x 2)) (pow y 2))))>
#<alt 1>
#<alt (+ 1 (* -1 (/ (- x 2) y)))>
#<alt (+ 1 (* -1 (/ (- (* -1 (/ (pow (- x 2) 2) y)) (* -1 (- x 2))) y)))>
#<alt (+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow (- x 2) 3) y)) (* -1 (pow (- x 2) 2))) y)) (* -1 (- x 2))) y)))>
#<alt (/ y (- y 2))>
#<alt (+ (* -1 (/ (* x y) (pow (- y 2) 2))) (/ y (- y 2)))>
#<alt (+ (* x (- (/ (* x y) (pow (- y 2) 3)) (/ y (pow (- y 2) 2)))) (/ y (- y 2)))>
#<alt (+ (* x (- (* x (- (* -1 (/ (* x y) (pow (- y 2) 4))) (* -1 (/ y (pow (- y 2) 3))))) (/ y (pow (- y 2) 2)))) (/ y (- y 2)))>
#<alt (/ y x)>
#<alt (/ (+ y (* -1 (/ (* y (- y 2)) x))) x)>
#<alt (/ (- (+ y (/ (* y (pow (- y 2) 2)) (pow x 2))) (/ (* y (- y 2)) x)) x)>
#<alt (/ (- (+ y (* -1 (/ (* y (pow (- y 2) 3)) (pow x 3)))) (+ (* -1 (/ (* y (pow (- y 2) 2)) (pow x 2))) (/ (* y (- y 2)) x))) x)>
#<alt (/ y x)>
#<alt (* -1 (/ (+ (* -1 y) (/ (* y (- y 2)) x)) x))>
#<alt (* -1 (/ (+ (* -1 y) (* -1 (/ (- (/ (* y (pow (- y 2) 2)) x) (* y (- y 2))) x))) x))>
#<alt (* -1 (/ (+ (* -1 y) (* -1 (/ (- (* -1 (/ (- (/ (* y (pow (- y 2) 3)) x) (* y (pow (- y 2) 2))) x)) (* y (- y 2))) x))) x))>
#<alt (- y 2)>
#<alt (- (+ x y) 2)>
#<alt (- (+ x y) 2)>
#<alt (- (+ x y) 2)>
#<alt x>
#<alt (* x (- (+ 1 (/ y x)) (* 2 (/ 1 x))))>
#<alt (* x (- (+ 1 (/ y x)) (* 2 (/ 1 x))))>
#<alt (* x (- (+ 1 (/ y x)) (* 2 (/ 1 x))))>
#<alt x>
#<alt (* -1 (* x (- (* -1 (/ (- y 2) x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ (- y 2) x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ (- y 2) x)) 1)))>
#<alt (- x 2)>
#<alt (- (+ x y) 2)>
#<alt (- (+ x y) 2)>
#<alt (- (+ x y) 2)>
#<alt y>
#<alt (* y (- (+ 1 (/ x y)) (* 2 (/ 1 y))))>
#<alt (* y (- (+ 1 (/ x y)) (* 2 (/ 1 y))))>
#<alt (* y (- (+ 1 (/ x y)) (* 2 (/ 1 y))))>
#<alt y>
#<alt (* -1 (* y (- (* -1 (/ (- x 2) y)) 1)))>
#<alt (* -1 (* y (- (* -1 (/ (- x 2) y)) 1)))>
#<alt (* -1 (* y (- (* -1 (/ (- x 2) y)) 1)))>
#<alt y>
#<alt (+ x y)>
#<alt (+ x y)>
#<alt (+ x y)>
#<alt x>
#<alt (* x (+ 1 (/ y x)))>
#<alt (* x (+ 1 (/ y x)))>
#<alt (* x (+ 1 (/ y x)))>
#<alt x>
#<alt (* -1 (* x (- (* -1 (/ y x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ y x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ y x)) 1)))>
#<alt x>
#<alt (+ x y)>
#<alt (+ x y)>
#<alt (+ x y)>
#<alt y>
#<alt (* y (+ 1 (/ x y)))>
#<alt (* y (+ 1 (/ x y)))>
#<alt (* y (+ 1 (/ x y)))>
#<alt y>
#<alt (* -1 (* y (- (* -1 (/ x y)) 1)))>
#<alt (* -1 (* y (- (* -1 (/ x y)) 1)))>
#<alt (* -1 (* y (- (* -1 (/ x y)) 1)))>
#<alt (* 1/2 x)>
#<alt (* 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 y) (* 1/2 x))>
#<alt (+ (* -1/2 y) (* 1/2 x))>
#<alt (+ (* -1/2 y) (* 1/2 x))>
#<alt (* -1/2 y)>
#<alt (* y (- (* 1/2 (/ x y)) 1/2))>
#<alt (* y (- (* 1/2 (/ x y)) 1/2))>
#<alt (* y (- (* 1/2 (/ x y)) 1/2))>
#<alt (* -1/2 y)>
#<alt (* -1 (* y (+ 1/2 (* -1/2 (/ x y)))))>
#<alt (* -1 (* y (+ 1/2 (* -1/2 (/ x y)))))>
#<alt (* -1 (* y (+ 1/2 (* -1/2 (/ x y)))))>
#<alt (* -1/2 y)>
#<alt (+ (* -1/2 y) (* 1/2 x))>
#<alt (+ (* -1/2 y) (* 1/2 x))>
#<alt (+ (* -1/2 y) (* 1/2 x))>
#<alt (* 1/2 x)>
#<alt (* x (+ 1/2 (* -1/2 (/ y x))))>
#<alt (* x (+ 1/2 (* -1/2 (/ y x))))>
#<alt (* x (+ 1/2 (* -1/2 (/ y x))))>
#<alt (* 1/2 x)>
#<alt (* -1 (* x (- (* 1/2 (/ y x)) 1/2)))>
#<alt (* -1 (* x (- (* 1/2 (/ y x)) 1/2)))>
#<alt (* -1 (* x (- (* 1/2 (/ y x)) 1/2)))>
#<alt (* -1 x)>
#<alt (- y x)>
#<alt (- y x)>
#<alt (- y x)>
#<alt y>
#<alt (* y (+ 1 (* -1 (/ x y))))>
#<alt (* y (+ 1 (* -1 (/ x y))))>
#<alt (* y (+ 1 (* -1 (/ x y))))>
#<alt y>
#<alt (* -1 (* y (- (/ x y) 1)))>
#<alt (* -1 (* y (- (/ x y) 1)))>
#<alt (* -1 (* y (- (/ x y) 1)))>
#<alt y>
#<alt (+ y (* -1 x))>
#<alt (+ y (* -1 x))>
#<alt (+ y (* -1 x))>
#<alt (* -1 x)>
#<alt (* x (- (/ y x) 1))>
#<alt (* x (- (/ y x) 1))>
#<alt (* x (- (/ y x) 1))>
#<alt (* -1 x)>
#<alt (* -1 (* x (+ 1 (* -1 (/ y x)))))>
#<alt (* -1 (* x (+ 1 (* -1 (/ y x)))))>
#<alt (* -1 (* x (+ 1 (* -1 (/ y x)))))>
#<alt (* -1/2 y)>
#<alt (* y (- (* -1/4 y) 1/2))>
#<alt (* y (- (* y (- (* -1/8 y) 1/4)) 1/2))>
#<alt (* y (- (* y (- (* y (- (* -1/16 y) 1/8)) 1/4)) 1/2))>
#<alt 1>
#<alt (+ 1 (* 2 (/ 1 y)))>
#<alt (+ 1 (+ (* 2 (/ 1 y)) (/ 4 (pow y 2))))>
#<alt (+ 1 (+ (* 2 (/ 1 y)) (+ (* 8 (/ 1 (pow y 3))) (/ 4 (pow y 2)))))>
#<alt 1>
#<alt (+ 1 (* 2 (/ 1 y)))>
#<alt (+ 1 (+ (* 2 (/ 1 y)) (/ 4 (pow y 2))))>
#<alt (+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (* 8 (/ 1 y))) y)) 2) y)))>
#<alt -2>
#<alt (- y 2)>
#<alt (- y 2)>
#<alt (- y 2)>
#<alt y>
#<alt (* y (- 1 (* 2 (/ 1 y))))>
#<alt (* y (- 1 (* 2 (/ 1 y))))>
#<alt (* y (- 1 (* 2 (/ 1 y))))>
#<alt y>
#<alt (* -1 (* y (- (* 2 (/ 1 y)) 1)))>
#<alt (* -1 (* y (- (* 2 (/ 1 y)) 1)))>
#<alt (* -1 (* y (- (* 2 (/ 1 y)) 1)))>
#<alt 1>
#<alt (+ 1 (* -1 (/ x y)))>
#<alt (+ 1 (* -1 (/ x y)))>
#<alt (+ 1 (* -1 (/ x y)))>
#<alt (* -1 (/ x y))>
#<alt (* x (- (/ 1 x) (/ 1 y)))>
#<alt (* x (- (/ 1 x) (/ 1 y)))>
#<alt (* x (- (/ 1 x) (/ 1 y)))>
#<alt (* -1 (/ x y))>
#<alt (* -1 (* x (- (/ 1 y) (/ 1 x))))>
#<alt (* -1 (* x (- (/ 1 y) (/ 1 x))))>
#<alt (* -1 (* x (- (/ 1 y) (/ 1 x))))>
#<alt (* -1 (/ x y))>
#<alt (/ (+ y (* -1 x)) y)>
#<alt (/ (+ y (* -1 x)) y)>
#<alt (/ (+ y (* -1 x)) y)>
#<alt 1>
#<alt (+ 1 (* -1 (/ x y)))>
#<alt (+ 1 (* -1 (/ x y)))>
#<alt (+ 1 (* -1 (/ x y)))>
#<alt 1>
#<alt (+ 1 (* -1 (/ x y)))>
#<alt (+ 1 (* -1 (/ x y)))>
#<alt (+ 1 (* -1 (/ x y)))>
#<alt (* -1 y)>
#<alt (- x y)>
#<alt (- x y)>
#<alt (- x y)>
#<alt x>
#<alt (* x (+ 1 (* -1 (/ y x))))>
#<alt (* x (+ 1 (* -1 (/ y x))))>
#<alt (* x (+ 1 (* -1 (/ y x))))>
#<alt x>
#<alt (* -1 (* x (- (/ y x) 1)))>
#<alt (* -1 (* x (- (/ y x) 1)))>
#<alt (* -1 (* x (- (/ y x) 1)))>
#<alt x>
#<alt (+ x (* -1 y))>
#<alt (+ x (* -1 y))>
#<alt (+ x (* -1 y))>
#<alt (* -1 y)>
#<alt (* y (- (/ x y) 1))>
#<alt (* y (- (/ x y) 1))>
#<alt (* y (- (/ x y) 1))>
#<alt (* -1 y)>
#<alt (* -1 (* y (+ 1 (* -1 (/ x y)))))>
#<alt (* -1 (* y (+ 1 (* -1 (/ x y)))))>
#<alt (* -1 (* y (+ 1 (* -1 (/ x y)))))>
#<alt (* -1 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)>
Calls

54 calls:

TimeVariablePointExpression
4.0ms
y
@0
(/ y (+ (+ x y) -2))
0.0ms
y
@inf
(/ y (+ (+ x y) -2))
0.0ms
x
@inf
(/ (- x y) (neg y))
0.0ms
y
@inf
(/ (- x y) (neg y))
0.0ms
x
@inf
(/ y (+ (+ x y) -2))

rewrite514.0ms (4.8%)

Memory
-4.0MiB live, 513.7MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
6 266×lower-fma.f64
6 266×lower-fma.f32
4 692×lower-*.f32
4 688×lower-*.f64
4 310×lower-/.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01645
02745
111244
282844
0870744
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
11 → 847
Calls
Call 1
Inputs
(/.f64 y (+.f64 (+.f64 x y) #s(literal -2 binary64)))
(+.f64 (+.f64 x y) #s(literal -2 binary64))
(+.f64 x y)
(*.f64 x #s(literal 1/2 binary64))
(*.f64 (-.f64 y x) #s(literal -1/2 binary64))
(-.f64 y x)
(/.f64 y (+.f64 y #s(literal -2 binary64)))
(+.f64 y #s(literal -2 binary64))
(/.f64 (-.f64 x y) (neg.f64 y))
(-.f64 x y)
(neg.f64 y)
Outputs
(+.f64 #s(literal 0 binary64) (/.f64 y (+.f64 y (+.f64 x #s(literal -2 binary64)))))
(+.f64 (*.f64 (/.f64 y (fma.f64 (+.f64 y x) (*.f64 (+.f64 y x) (+.f64 y x)) #s(literal -8 binary64))) (*.f64 (+.f64 y x) (+.f64 y x))) (*.f64 (/.f64 y (fma.f64 (+.f64 y x) (*.f64 (+.f64 y x) (+.f64 y x)) #s(literal -8 binary64))) (+.f64 #s(literal 4 binary64) (*.f64 (+.f64 y x) #s(literal 2 binary64)))))
(+.f64 (*.f64 (/.f64 y (fma.f64 (+.f64 y x) (*.f64 (+.f64 y x) (+.f64 y x)) #s(literal -8 binary64))) (+.f64 #s(literal 4 binary64) (*.f64 (+.f64 y x) #s(literal 2 binary64)))) (*.f64 (/.f64 y (fma.f64 (+.f64 y x) (*.f64 (+.f64 y x) (+.f64 y x)) #s(literal -8 binary64))) (*.f64 (+.f64 y x) (+.f64 y x))))
(+.f64 (*.f64 (/.f64 y (fma.f64 (+.f64 y x) (+.f64 y x) #s(literal -4 binary64))) y) (*.f64 (/.f64 y (fma.f64 (+.f64 y x) (+.f64 y x) #s(literal -4 binary64))) (+.f64 x #s(literal 2 binary64))))
(+.f64 (*.f64 (/.f64 y (fma.f64 (+.f64 y x) (+.f64 y x) #s(literal -4 binary64))) x) (*.f64 (/.f64 y (fma.f64 (+.f64 y x) (+.f64 y x) #s(literal -4 binary64))) (+.f64 y #s(literal 2 binary64))))
(+.f64 (*.f64 (/.f64 y (fma.f64 (+.f64 y x) (+.f64 y x) #s(literal -4 binary64))) (+.f64 y x)) (*.f64 (/.f64 y (fma.f64 (+.f64 y x) (+.f64 y x) #s(literal -4 binary64))) #s(literal 2 binary64)))
(+.f64 (*.f64 (*.f64 (+.f64 y x) (+.f64 y x)) (/.f64 y (fma.f64 (+.f64 y x) (*.f64 (+.f64 y x) (+.f64 y x)) #s(literal -8 binary64)))) (*.f64 (+.f64 #s(literal 4 binary64) (*.f64 (+.f64 y x) #s(literal 2 binary64))) (/.f64 y (fma.f64 (+.f64 y x) (*.f64 (+.f64 y x) (+.f64 y x)) #s(literal -8 binary64)))))
(+.f64 (*.f64 (+.f64 #s(literal 4 binary64) (*.f64 (+.f64 y x) #s(literal 2 binary64))) (/.f64 y (fma.f64 (+.f64 y x) (*.f64 (+.f64 y x) (+.f64 y x)) #s(literal -8 binary64)))) (*.f64 (*.f64 (+.f64 y x) (+.f64 y x)) (/.f64 y (fma.f64 (+.f64 y x) (*.f64 (+.f64 y x) (+.f64 y x)) #s(literal -8 binary64)))))
(+.f64 (*.f64 y (/.f64 y (fma.f64 (+.f64 y x) (+.f64 y x) #s(literal -4 binary64)))) (*.f64 (+.f64 x #s(literal 2 binary64)) (/.f64 y (fma.f64 (+.f64 y x) (+.f64 y x) #s(literal -4 binary64)))))
(+.f64 (*.f64 x (/.f64 y (fma.f64 (+.f64 y x) (+.f64 y x) #s(literal -4 binary64)))) (*.f64 (+.f64 y #s(literal 2 binary64)) (/.f64 y (fma.f64 (+.f64 y x) (+.f64 y x) #s(literal -4 binary64)))))
(+.f64 (*.f64 (+.f64 y x) (/.f64 y (fma.f64 (+.f64 y x) (+.f64 y x) #s(literal -4 binary64)))) (*.f64 #s(literal 2 binary64) (/.f64 y (fma.f64 (+.f64 y x) (+.f64 y x) #s(literal -4 binary64)))))
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 y (+.f64 x #s(literal -2 binary64))) y)) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 y (-.f64 #s(literal 2 binary64) (+.f64 y x))))
(fma.f64 y (/.f64 y (fma.f64 (+.f64 y x) (+.f64 y x) #s(literal -4 binary64))) (*.f64 (+.f64 x #s(literal 2 binary64)) (/.f64 y (fma.f64 (+.f64 y x) (+.f64 y x) #s(literal -4 binary64)))))
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(*.f64 (neg.f64 (/.f64 (*.f64 (+.f64 y x) (-.f64 x y)) (*.f64 (+.f64 y x) (-.f64 y x)))) (-.f64 x y))
(*.f64 (*.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y (+.f64 y x) (*.f64 x x)) (-.f64 x y))) (/.f64 #s(literal 1 binary64) (fma.f64 y (+.f64 y x) (*.f64 x x))))
(*.f64 (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 y x) (-.f64 x y)) (fma.f64 y (*.f64 y y) (*.f64 x (*.f64 x x))))) (fma.f64 y (-.f64 y x) (*.f64 x x)))
(+.f64 #s(literal 0 binary64) (neg.f64 y))
(-.f64 #s(literal 0 binary64) y)
(-.f64 #s(literal 0 binary64) (/.f64 (neg.f64 y) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 y #s(literal 1 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (fma.f64 y y #s(literal 0 binary64))) y)
(-.f64 (/.f64 #s(literal 0 binary64) y) y)
(neg.f64 y)
(neg.f64 (/.f64 (neg.f64 y) #s(literal -1 binary64)))
(neg.f64 (/.f64 y #s(literal 1 binary64)))
(/.f64 y #s(literal -1 binary64))
(/.f64 (neg.f64 y) #s(literal 1 binary64))
(/.f64 (*.f64 y (*.f64 y y)) (neg.f64 (fma.f64 y y #s(literal 0 binary64))))
(/.f64 (*.f64 y y) (neg.f64 y))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y y #s(literal 0 binary64)) (neg.f64 (*.f64 y (*.f64 y y)))))
(/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 y (neg.f64 y))))
(/.f64 (neg.f64 (*.f64 y (*.f64 y y))) (fma.f64 y y #s(literal 0 binary64)))
(/.f64 (neg.f64 (*.f64 y (*.f64 y y))) (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 y y) #s(literal 0 binary64))))
(/.f64 (*.f64 y (neg.f64 y)) y)
(*.f64 y #s(literal -1 binary64))
(*.f64 (neg.f64 y) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (neg.f64 y))
(*.f64 #s(literal -1 binary64) y)
(*.f64 (neg.f64 (*.f64 y (*.f64 y y))) (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal 0 binary64))))
(*.f64 (*.f64 y (neg.f64 y)) (/.f64 #s(literal 1 binary64) y))

simplify334.0ms (3.1%)

Memory
28.5MiB live, 453.2MiB allocated
Algorithm
1×egg-herbie
Rules
10 570×lower-fma.f64
10 570×lower-fma.f32
4 288×lower-*.f64
4 288×lower-*.f32
2 098×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02501194
17251141
220361103
369951099
081701064
Stop Event
1×iter limit
1×node limit
Counts
216 → 198
Calls
Call 1
Inputs
(/ y (- x 2))
(* y (+ (* -1 (/ y (pow (- x 2) 2))) (/ 1 (- x 2))))
(* y (+ (* y (- (/ y (pow (- x 2) 3)) (/ 1 (pow (- x 2) 2)))) (/ 1 (- x 2))))
(* y (+ (* y (- (* y (+ (* -1 (/ y (pow (- x 2) 4))) (/ 1 (pow (- x 2) 3)))) (/ 1 (pow (- x 2) 2)))) (/ 1 (- x 2))))
1
(- (+ 1 (* 2 (/ 1 y))) (/ x y))
(- (+ 1 (+ (* -1 (/ (* (- 2 x) (- x 2)) (pow y 2))) (* 2 (/ 1 y)))) (/ x y))
(- (+ 1 (+ (* 2 (/ 1 y)) (/ (* (- 2 x) (pow (- x 2) 2)) (pow y 3)))) (+ (/ x y) (/ (* (- 2 x) (- x 2)) (pow y 2))))
1
(+ 1 (* -1 (/ (- x 2) y)))
(+ 1 (* -1 (/ (- (* -1 (/ (pow (- x 2) 2) y)) (* -1 (- x 2))) y)))
(+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow (- x 2) 3) y)) (* -1 (pow (- x 2) 2))) y)) (* -1 (- x 2))) y)))
(/ y (- y 2))
(+ (* -1 (/ (* x y) (pow (- y 2) 2))) (/ y (- y 2)))
(+ (* x (- (/ (* x y) (pow (- y 2) 3)) (/ y (pow (- y 2) 2)))) (/ y (- y 2)))
(+ (* x (- (* x (- (* -1 (/ (* x y) (pow (- y 2) 4))) (* -1 (/ y (pow (- y 2) 3))))) (/ y (pow (- y 2) 2)))) (/ y (- y 2)))
(/ y x)
(/ (+ y (* -1 (/ (* y (- y 2)) x))) x)
(/ (- (+ y (/ (* y (pow (- y 2) 2)) (pow x 2))) (/ (* y (- y 2)) x)) x)
(/ (- (+ y (* -1 (/ (* y (pow (- y 2) 3)) (pow x 3)))) (+ (* -1 (/ (* y (pow (- y 2) 2)) (pow x 2))) (/ (* y (- y 2)) x))) x)
(/ y x)
(* -1 (/ (+ (* -1 y) (/ (* y (- y 2)) x)) x))
(* -1 (/ (+ (* -1 y) (* -1 (/ (- (/ (* y (pow (- y 2) 2)) x) (* y (- y 2))) x))) x))
(* -1 (/ (+ (* -1 y) (* -1 (/ (- (* -1 (/ (- (/ (* y (pow (- y 2) 3)) x) (* y (pow (- y 2) 2))) x)) (* y (- y 2))) x))) x))
(- y 2)
(- (+ x y) 2)
(- (+ x y) 2)
(- (+ x y) 2)
x
(* x (- (+ 1 (/ y x)) (* 2 (/ 1 x))))
(* x (- (+ 1 (/ y x)) (* 2 (/ 1 x))))
(* x (- (+ 1 (/ y x)) (* 2 (/ 1 x))))
x
(* -1 (* x (- (* -1 (/ (- y 2) x)) 1)))
(* -1 (* x (- (* -1 (/ (- y 2) x)) 1)))
(* -1 (* x (- (* -1 (/ (- y 2) x)) 1)))
(- x 2)
(- (+ x y) 2)
(- (+ x y) 2)
(- (+ x y) 2)
y
(* y (- (+ 1 (/ x y)) (* 2 (/ 1 y))))
(* y (- (+ 1 (/ x y)) (* 2 (/ 1 y))))
(* y (- (+ 1 (/ x y)) (* 2 (/ 1 y))))
y
(* -1 (* y (- (* -1 (/ (- x 2) y)) 1)))
(* -1 (* y (- (* -1 (/ (- x 2) y)) 1)))
(* -1 (* y (- (* -1 (/ (- x 2) y)) 1)))
y
(+ x y)
(+ x y)
(+ x y)
x
(* x (+ 1 (/ y x)))
(* x (+ 1 (/ y x)))
(* x (+ 1 (/ y x)))
x
(* -1 (* x (- (* -1 (/ y x)) 1)))
(* -1 (* x (- (* -1 (/ y x)) 1)))
(* -1 (* x (- (* -1 (/ y x)) 1)))
x
(+ x y)
(+ x y)
(+ x y)
y
(* y (+ 1 (/ x y)))
(* y (+ 1 (/ x y)))
(* y (+ 1 (/ x y)))
y
(* -1 (* y (- (* -1 (/ x y)) 1)))
(* -1 (* y (- (* -1 (/ x y)) 1)))
(* -1 (* y (- (* -1 (/ x y)) 1)))
(* 1/2 x)
(* 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 y) (* 1/2 x))
(+ (* -1/2 y) (* 1/2 x))
(+ (* -1/2 y) (* 1/2 x))
(* -1/2 y)
(* y (- (* 1/2 (/ x y)) 1/2))
(* y (- (* 1/2 (/ x y)) 1/2))
(* y (- (* 1/2 (/ x y)) 1/2))
(* -1/2 y)
(* -1 (* y (+ 1/2 (* -1/2 (/ x y)))))
(* -1 (* y (+ 1/2 (* -1/2 (/ x y)))))
(* -1 (* y (+ 1/2 (* -1/2 (/ x y)))))
(* -1/2 y)
(+ (* -1/2 y) (* 1/2 x))
(+ (* -1/2 y) (* 1/2 x))
(+ (* -1/2 y) (* 1/2 x))
(* 1/2 x)
(* x (+ 1/2 (* -1/2 (/ y x))))
(* x (+ 1/2 (* -1/2 (/ y x))))
(* x (+ 1/2 (* -1/2 (/ y x))))
(* 1/2 x)
(* -1 (* x (- (* 1/2 (/ y x)) 1/2)))
(* -1 (* x (- (* 1/2 (/ y x)) 1/2)))
(* -1 (* x (- (* 1/2 (/ y x)) 1/2)))
(* -1 x)
(- y x)
(- y x)
(- y x)
y
(* y (+ 1 (* -1 (/ x y))))
(* y (+ 1 (* -1 (/ x y))))
(* y (+ 1 (* -1 (/ x y))))
y
(* -1 (* y (- (/ x y) 1)))
(* -1 (* y (- (/ x y) 1)))
(* -1 (* y (- (/ x y) 1)))
y
(+ y (* -1 x))
(+ y (* -1 x))
(+ y (* -1 x))
(* -1 x)
(* x (- (/ y x) 1))
(* x (- (/ y x) 1))
(* x (- (/ y x) 1))
(* -1 x)
(* -1 (* x (+ 1 (* -1 (/ y x)))))
(* -1 (* x (+ 1 (* -1 (/ y x)))))
(* -1 (* x (+ 1 (* -1 (/ y x)))))
(* -1/2 y)
(* y (- (* -1/4 y) 1/2))
(* y (- (* y (- (* -1/8 y) 1/4)) 1/2))
(* y (- (* y (- (* y (- (* -1/16 y) 1/8)) 1/4)) 1/2))
1
(+ 1 (* 2 (/ 1 y)))
(+ 1 (+ (* 2 (/ 1 y)) (/ 4 (pow y 2))))
(+ 1 (+ (* 2 (/ 1 y)) (+ (* 8 (/ 1 (pow y 3))) (/ 4 (pow y 2)))))
1
(+ 1 (* 2 (/ 1 y)))
(+ 1 (+ (* 2 (/ 1 y)) (/ 4 (pow y 2))))
(+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (* 8 (/ 1 y))) y)) 2) y)))
-2
(- y 2)
(- y 2)
(- y 2)
y
(* y (- 1 (* 2 (/ 1 y))))
(* y (- 1 (* 2 (/ 1 y))))
(* y (- 1 (* 2 (/ 1 y))))
y
(* -1 (* y (- (* 2 (/ 1 y)) 1)))
(* -1 (* y (- (* 2 (/ 1 y)) 1)))
(* -1 (* y (- (* 2 (/ 1 y)) 1)))
1
(+ 1 (* -1 (/ x y)))
(+ 1 (* -1 (/ x y)))
(+ 1 (* -1 (/ x y)))
(* -1 (/ x y))
(* x (- (/ 1 x) (/ 1 y)))
(* x (- (/ 1 x) (/ 1 y)))
(* x (- (/ 1 x) (/ 1 y)))
(* -1 (/ x y))
(* -1 (* x (- (/ 1 y) (/ 1 x))))
(* -1 (* x (- (/ 1 y) (/ 1 x))))
(* -1 (* x (- (/ 1 y) (/ 1 x))))
(* -1 (/ x y))
(/ (+ y (* -1 x)) y)
(/ (+ y (* -1 x)) y)
(/ (+ y (* -1 x)) y)
1
(+ 1 (* -1 (/ x y)))
(+ 1 (* -1 (/ x y)))
(+ 1 (* -1 (/ x y)))
1
(+ 1 (* -1 (/ x y)))
(+ 1 (* -1 (/ x y)))
(+ 1 (* -1 (/ x y)))
(* -1 y)
(- x y)
(- x y)
(- x y)
x
(* x (+ 1 (* -1 (/ y x))))
(* x (+ 1 (* -1 (/ y x))))
(* x (+ 1 (* -1 (/ y x))))
x
(* -1 (* x (- (/ y x) 1)))
(* -1 (* x (- (/ y x) 1)))
(* -1 (* x (- (/ y x) 1)))
x
(+ x (* -1 y))
(+ x (* -1 y))
(+ x (* -1 y))
(* -1 y)
(* y (- (/ x y) 1))
(* y (- (/ x y) 1))
(* y (- (/ x y) 1))
(* -1 y)
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
Outputs
(/ y (- x 2))
(/.f64 y (+.f64 x #s(literal -2 binary64)))
(* y (+ (* -1 (/ y (pow (- x 2) 2))) (/ 1 (- x 2))))
(fma.f64 y (/.f64 y (*.f64 (+.f64 x #s(literal -2 binary64)) (-.f64 #s(literal 2 binary64) x))) (/.f64 y (+.f64 x #s(literal -2 binary64))))
(* y (+ (* y (- (/ y (pow (- x 2) 3)) (/ 1 (pow (- x 2) 2)))) (/ 1 (- x 2))))
(fma.f64 y (fma.f64 y (/.f64 y (*.f64 (+.f64 x #s(literal -2 binary64)) (*.f64 (+.f64 x #s(literal -2 binary64)) (+.f64 x #s(literal -2 binary64))))) (/.f64 y (*.f64 (+.f64 x #s(literal -2 binary64)) (-.f64 #s(literal 2 binary64) x)))) (/.f64 y (+.f64 x #s(literal -2 binary64))))
(* y (+ (* y (- (* y (+ (* -1 (/ y (pow (- x 2) 4))) (/ 1 (pow (- x 2) 3)))) (/ 1 (pow (- x 2) 2)))) (/ 1 (- x 2))))
(fma.f64 y (fma.f64 y (-.f64 (/.f64 y (*.f64 (+.f64 x #s(literal -2 binary64)) (*.f64 (+.f64 x #s(literal -2 binary64)) (+.f64 x #s(literal -2 binary64))))) (/.f64 (*.f64 y y) (pow.f64 (+.f64 x #s(literal -2 binary64)) #s(literal 4 binary64)))) (/.f64 y (*.f64 (+.f64 x #s(literal -2 binary64)) (-.f64 #s(literal 2 binary64) x)))) (/.f64 y (+.f64 x #s(literal -2 binary64))))
1
#s(literal 1 binary64)
(- (+ 1 (* 2 (/ 1 y))) (/ x y))
(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 2 binary64) x) y))
(- (+ 1 (+ (* -1 (/ (* (- 2 x) (- x 2)) (pow y 2))) (* 2 (/ 1 y)))) (/ x y))
(neg.f64 (fma.f64 (/.f64 (+.f64 x #s(literal -2 binary64)) y) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 2 binary64) x) y)) #s(literal -1 binary64)))
(- (+ 1 (+ (* 2 (/ 1 y)) (/ (* (- 2 x) (pow (- x 2) 2)) (pow y 3)))) (+ (/ x y) (/ (* (- 2 x) (- x 2)) (pow y 2))))
(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (-.f64 #s(literal 2 binary64) x) (/.f64 (*.f64 (+.f64 x #s(literal -2 binary64)) (*.f64 (+.f64 x #s(literal -2 binary64)) (+.f64 (/.f64 (+.f64 x #s(literal -2 binary64)) y) #s(literal -1 binary64)))) y)) y))
1
#s(literal 1 binary64)
(+ 1 (* -1 (/ (- x 2) y)))
(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 2 binary64) x) y))
(+ 1 (* -1 (/ (- (* -1 (/ (pow (- x 2) 2) y)) (* -1 (- x 2))) y)))
(neg.f64 (fma.f64 (/.f64 (+.f64 x #s(literal -2 binary64)) y) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 2 binary64) x) y)) #s(literal -1 binary64)))
(+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow (- x 2) 3) y)) (* -1 (pow (- x 2) 2))) y)) (* -1 (- x 2))) y)))
(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (-.f64 #s(literal 2 binary64) x) (/.f64 (*.f64 (+.f64 x #s(literal -2 binary64)) (*.f64 (+.f64 x #s(literal -2 binary64)) (+.f64 (/.f64 (+.f64 x #s(literal -2 binary64)) y) #s(literal -1 binary64)))) y)) y))
(/ y (- y 2))
(/.f64 y (+.f64 y #s(literal -2 binary64)))
(+ (* -1 (/ (* x y) (pow (- y 2) 2))) (/ y (- y 2)))
(fma.f64 y (/.f64 x (*.f64 (+.f64 y #s(literal -2 binary64)) (-.f64 #s(literal 2 binary64) y))) (/.f64 y (+.f64 y #s(literal -2 binary64))))
(+ (* x (- (/ (* x y) (pow (- y 2) 3)) (/ y (pow (- y 2) 2)))) (/ y (- y 2)))
(fma.f64 x (*.f64 (/.f64 y (*.f64 (+.f64 y #s(literal -2 binary64)) (+.f64 y #s(literal -2 binary64)))) (+.f64 (/.f64 x (+.f64 y #s(literal -2 binary64))) #s(literal -1 binary64))) (/.f64 y (+.f64 y #s(literal -2 binary64))))
(+ (* x (- (* x (- (* -1 (/ (* x y) (pow (- y 2) 4))) (* -1 (/ y (pow (- y 2) 3))))) (/ y (pow (- y 2) 2)))) (/ y (- y 2)))
(fma.f64 x (fma.f64 x (/.f64 (*.f64 y (neg.f64 x)) (pow.f64 (+.f64 y #s(literal -2 binary64)) #s(literal 4 binary64))) (*.f64 (/.f64 y (*.f64 (+.f64 y #s(literal -2 binary64)) (+.f64 y #s(literal -2 binary64)))) (+.f64 (/.f64 x (+.f64 y #s(literal -2 binary64))) #s(literal -1 binary64)))) (/.f64 y (+.f64 y #s(literal -2 binary64))))
(/ y x)
(/.f64 y x)
(/ (+ y (* -1 (/ (* y (- y 2)) x))) x)
(/.f64 (fma.f64 y (/.f64 (-.f64 #s(literal 2 binary64) y) x) y) x)
(/ (- (+ y (/ (* y (pow (- y 2) 2)) (pow x 2))) (/ (* y (- y 2)) x)) x)
(/.f64 (fma.f64 (/.f64 y x) (fma.f64 (+.f64 y #s(literal -2 binary64)) (/.f64 (+.f64 y #s(literal -2 binary64)) x) (-.f64 #s(literal 2 binary64) y)) y) x)
(/ (- (+ y (* -1 (/ (* y (pow (- y 2) 3)) (pow x 3)))) (+ (* -1 (/ (* y (pow (- y 2) 2)) (pow x 2))) (/ (* y (- y 2)) x))) x)
(/.f64 (-.f64 y (/.f64 (fma.f64 y (+.f64 y #s(literal -2 binary64)) (/.f64 (*.f64 y (*.f64 (+.f64 y #s(literal -2 binary64)) (fma.f64 (+.f64 y #s(literal -2 binary64)) (/.f64 (+.f64 y #s(literal -2 binary64)) x) (-.f64 #s(literal 2 binary64) y)))) x)) x)) x)
(/ y x)
(/.f64 y x)
(* -1 (/ (+ (* -1 y) (/ (* y (- y 2)) x)) x))
(/.f64 (fma.f64 y (/.f64 (-.f64 #s(literal 2 binary64) y) x) y) x)
(* -1 (/ (+ (* -1 y) (* -1 (/ (- (/ (* y (pow (- y 2) 2)) x) (* y (- y 2))) x))) x))
(/.f64 (fma.f64 (/.f64 y x) (fma.f64 (+.f64 y #s(literal -2 binary64)) (/.f64 (+.f64 y #s(literal -2 binary64)) x) (-.f64 #s(literal 2 binary64) y)) y) x)
(* -1 (/ (+ (* -1 y) (* -1 (/ (- (* -1 (/ (- (/ (* y (pow (- y 2) 3)) x) (* y (pow (- y 2) 2))) x)) (* y (- y 2))) x))) x))
(/.f64 (-.f64 y (/.f64 (fma.f64 y (+.f64 y #s(literal -2 binary64)) (/.f64 (*.f64 y (*.f64 (+.f64 y #s(literal -2 binary64)) (fma.f64 (+.f64 y #s(literal -2 binary64)) (/.f64 (+.f64 y #s(literal -2 binary64)) x) (-.f64 #s(literal 2 binary64) y)))) x)) x)) x)
(- y 2)
(+.f64 y #s(literal -2 binary64))
(- (+ x y) 2)
(+.f64 y (+.f64 x #s(literal -2 binary64)))
(- (+ x y) 2)
(+.f64 y (+.f64 x #s(literal -2 binary64)))
(- (+ x y) 2)
(+.f64 y (+.f64 x #s(literal -2 binary64)))
x
(* x (- (+ 1 (/ y x)) (* 2 (/ 1 x))))
(+.f64 y (+.f64 x #s(literal -2 binary64)))
(* x (- (+ 1 (/ y x)) (* 2 (/ 1 x))))
(+.f64 y (+.f64 x #s(literal -2 binary64)))
(* x (- (+ 1 (/ y x)) (* 2 (/ 1 x))))
(+.f64 y (+.f64 x #s(literal -2 binary64)))
x
(* -1 (* x (- (* -1 (/ (- y 2) x)) 1)))
(+.f64 y (+.f64 x #s(literal -2 binary64)))
(* -1 (* x (- (* -1 (/ (- y 2) x)) 1)))
(+.f64 y (+.f64 x #s(literal -2 binary64)))
(* -1 (* x (- (* -1 (/ (- y 2) x)) 1)))
(+.f64 y (+.f64 x #s(literal -2 binary64)))
(- x 2)
(+.f64 x #s(literal -2 binary64))
(- (+ x y) 2)
(+.f64 y (+.f64 x #s(literal -2 binary64)))
(- (+ x y) 2)
(+.f64 y (+.f64 x #s(literal -2 binary64)))
(- (+ x y) 2)
(+.f64 y (+.f64 x #s(literal -2 binary64)))
y
(* y (- (+ 1 (/ x y)) (* 2 (/ 1 y))))
(+.f64 y (+.f64 x #s(literal -2 binary64)))
(* y (- (+ 1 (/ x y)) (* 2 (/ 1 y))))
(+.f64 y (+.f64 x #s(literal -2 binary64)))
(* y (- (+ 1 (/ x y)) (* 2 (/ 1 y))))
(+.f64 y (+.f64 x #s(literal -2 binary64)))
y
(* -1 (* y (- (* -1 (/ (- x 2) y)) 1)))
(+.f64 y (+.f64 x #s(literal -2 binary64)))
(* -1 (* y (- (* -1 (/ (- x 2) y)) 1)))
(+.f64 y (+.f64 x #s(literal -2 binary64)))
(* -1 (* y (- (* -1 (/ (- x 2) y)) 1)))
(+.f64 y (+.f64 x #s(literal -2 binary64)))
y
(+ x y)
(+.f64 y x)
(+ x y)
(+.f64 y x)
(+ x y)
(+.f64 y x)
x
(* x (+ 1 (/ y x)))
(+.f64 y x)
(* x (+ 1 (/ y x)))
(+.f64 y x)
(* x (+ 1 (/ y x)))
(+.f64 y x)
x
(* -1 (* x (- (* -1 (/ y x)) 1)))
(+.f64 y x)
(* -1 (* x (- (* -1 (/ y x)) 1)))
(+.f64 y x)
(* -1 (* x (- (* -1 (/ y x)) 1)))
(+.f64 y x)
x
(+ x y)
(+.f64 y x)
(+ x y)
(+.f64 y x)
(+ x y)
(+.f64 y x)
y
(* y (+ 1 (/ x y)))
(+.f64 y x)
(* y (+ 1 (/ x y)))
(+.f64 y x)
(* y (+ 1 (/ x y)))
(+.f64 y x)
y
(* -1 (* y (- (* -1 (/ x y)) 1)))
(+.f64 y x)
(* -1 (* y (- (* -1 (/ x y)) 1)))
(+.f64 y x)
(* -1 (* y (- (* -1 (/ x y)) 1)))
(+.f64 y x)
(* 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 y) (* 1/2 x))
(fma.f64 y #s(literal -1/2 binary64) (*.f64 x #s(literal 1/2 binary64)))
(+ (* -1/2 y) (* 1/2 x))
(fma.f64 y #s(literal -1/2 binary64) (*.f64 x #s(literal 1/2 binary64)))
(+ (* -1/2 y) (* 1/2 x))
(fma.f64 y #s(literal -1/2 binary64) (*.f64 x #s(literal 1/2 binary64)))
(* -1/2 y)
(*.f64 y #s(literal -1/2 binary64))
(* y (- (* 1/2 (/ x y)) 1/2))
(fma.f64 y #s(literal -1/2 binary64) (*.f64 x #s(literal 1/2 binary64)))
(* y (- (* 1/2 (/ x y)) 1/2))
(fma.f64 y #s(literal -1/2 binary64) (*.f64 x #s(literal 1/2 binary64)))
(* y (- (* 1/2 (/ x y)) 1/2))
(fma.f64 y #s(literal -1/2 binary64) (*.f64 x #s(literal 1/2 binary64)))
(* -1/2 y)
(*.f64 y #s(literal -1/2 binary64))
(* -1 (* y (+ 1/2 (* -1/2 (/ x y)))))
(fma.f64 y #s(literal -1/2 binary64) (*.f64 x #s(literal 1/2 binary64)))
(* -1 (* y (+ 1/2 (* -1/2 (/ x y)))))
(fma.f64 y #s(literal -1/2 binary64) (*.f64 x #s(literal 1/2 binary64)))
(* -1 (* y (+ 1/2 (* -1/2 (/ x y)))))
(fma.f64 y #s(literal -1/2 binary64) (*.f64 x #s(literal 1/2 binary64)))
(* -1/2 y)
(*.f64 y #s(literal -1/2 binary64))
(+ (* -1/2 y) (* 1/2 x))
(fma.f64 y #s(literal -1/2 binary64) (*.f64 x #s(literal 1/2 binary64)))
(+ (* -1/2 y) (* 1/2 x))
(fma.f64 y #s(literal -1/2 binary64) (*.f64 x #s(literal 1/2 binary64)))
(+ (* -1/2 y) (* 1/2 x))
(fma.f64 y #s(literal -1/2 binary64) (*.f64 x #s(literal 1/2 binary64)))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* x (+ 1/2 (* -1/2 (/ y x))))
(fma.f64 y #s(literal -1/2 binary64) (*.f64 x #s(literal 1/2 binary64)))
(* x (+ 1/2 (* -1/2 (/ y x))))
(fma.f64 y #s(literal -1/2 binary64) (*.f64 x #s(literal 1/2 binary64)))
(* x (+ 1/2 (* -1/2 (/ y x))))
(fma.f64 y #s(literal -1/2 binary64) (*.f64 x #s(literal 1/2 binary64)))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* -1 (* x (- (* 1/2 (/ y x)) 1/2)))
(fma.f64 y #s(literal -1/2 binary64) (*.f64 x #s(literal 1/2 binary64)))
(* -1 (* x (- (* 1/2 (/ y x)) 1/2)))
(fma.f64 y #s(literal -1/2 binary64) (*.f64 x #s(literal 1/2 binary64)))
(* -1 (* x (- (* 1/2 (/ y x)) 1/2)))
(fma.f64 y #s(literal -1/2 binary64) (*.f64 x #s(literal 1/2 binary64)))
(* -1 x)
(neg.f64 x)
(- y x)
(-.f64 y x)
(- y x)
(-.f64 y x)
(- y x)
(-.f64 y x)
y
(* y (+ 1 (* -1 (/ x y))))
(-.f64 y x)
(* y (+ 1 (* -1 (/ x y))))
(-.f64 y x)
(* y (+ 1 (* -1 (/ x y))))
(-.f64 y x)
y
(* -1 (* y (- (/ x y) 1)))
(-.f64 y x)
(* -1 (* y (- (/ x y) 1)))
(-.f64 y x)
(* -1 (* y (- (/ x y) 1)))
(-.f64 y x)
y
(+ y (* -1 x))
(-.f64 y x)
(+ y (* -1 x))
(-.f64 y x)
(+ y (* -1 x))
(-.f64 y x)
(* -1 x)
(neg.f64 x)
(* x (- (/ y x) 1))
(-.f64 y x)
(* x (- (/ y x) 1))
(-.f64 y x)
(* x (- (/ y x) 1))
(-.f64 y x)
(* -1 x)
(neg.f64 x)
(* -1 (* x (+ 1 (* -1 (/ y x)))))
(-.f64 y x)
(* -1 (* x (+ 1 (* -1 (/ y x)))))
(-.f64 y x)
(* -1 (* x (+ 1 (* -1 (/ y x)))))
(-.f64 y x)
(* -1/2 y)
(*.f64 y #s(literal -1/2 binary64))
(* y (- (* -1/4 y) 1/2))
(*.f64 y (fma.f64 y #s(literal -1/4 binary64) #s(literal -1/2 binary64)))
(* y (- (* y (- (* -1/8 y) 1/4)) 1/2))
(*.f64 y (fma.f64 y (fma.f64 y #s(literal -1/8 binary64) #s(literal -1/4 binary64)) #s(literal -1/2 binary64)))
(* y (- (* y (- (* y (- (* -1/16 y) 1/8)) 1/4)) 1/2))
(*.f64 y (fma.f64 y (fma.f64 y (fma.f64 y #s(literal -1/16 binary64) #s(literal -1/8 binary64)) #s(literal -1/4 binary64)) #s(literal -1/2 binary64)))
1
#s(literal 1 binary64)
(+ 1 (* 2 (/ 1 y)))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) y))
(+ 1 (+ (* 2 (/ 1 y)) (/ 4 (pow y 2))))
(+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 2 binary64) y) (/.f64 #s(literal 4 binary64) (*.f64 y y))))
(+ 1 (+ (* 2 (/ 1 y)) (+ (* 8 (/ 1 (pow y 3))) (/ 4 (pow y 2)))))
(+.f64 (/.f64 #s(literal 2 binary64) y) (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 y y)) (+.f64 (/.f64 #s(literal 8 binary64) (*.f64 y (*.f64 y y))) #s(literal 1 binary64))))
1
#s(literal 1 binary64)
(+ 1 (* 2 (/ 1 y)))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) y))
(+ 1 (+ (* 2 (/ 1 y)) (/ 4 (pow y 2))))
(+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 2 binary64) y) (/.f64 #s(literal 4 binary64) (*.f64 y y))))
(+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (* 8 (/ 1 y))) y)) 2) y)))
(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal -4 binary64) (/.f64 #s(literal -8 binary64) y)) y)) y))
-2
#s(literal -2 binary64)
(- y 2)
(+.f64 y #s(literal -2 binary64))
(- y 2)
(+.f64 y #s(literal -2 binary64))
(- y 2)
(+.f64 y #s(literal -2 binary64))
y
(* y (- 1 (* 2 (/ 1 y))))
(+.f64 y #s(literal -2 binary64))
(* y (- 1 (* 2 (/ 1 y))))
(+.f64 y #s(literal -2 binary64))
(* y (- 1 (* 2 (/ 1 y))))
(+.f64 y #s(literal -2 binary64))
y
(* -1 (* y (- (* 2 (/ 1 y)) 1)))
(+.f64 y #s(literal -2 binary64))
(* -1 (* y (- (* 2 (/ 1 y)) 1)))
(+.f64 y #s(literal -2 binary64))
(* -1 (* y (- (* 2 (/ 1 y)) 1)))
(+.f64 y #s(literal -2 binary64))
1
#s(literal 1 binary64)
(+ 1 (* -1 (/ x y)))
(-.f64 #s(literal 1 binary64) (/.f64 x y))
(+ 1 (* -1 (/ x y)))
(-.f64 #s(literal 1 binary64) (/.f64 x y))
(+ 1 (* -1 (/ x y)))
(-.f64 #s(literal 1 binary64) (/.f64 x y))
(* -1 (/ x y))
(/.f64 x (neg.f64 y))
(* x (- (/ 1 x) (/ 1 y)))
(-.f64 #s(literal 1 binary64) (/.f64 x y))
(* x (- (/ 1 x) (/ 1 y)))
(-.f64 #s(literal 1 binary64) (/.f64 x y))
(* x (- (/ 1 x) (/ 1 y)))
(-.f64 #s(literal 1 binary64) (/.f64 x y))
(* -1 (/ x y))
(/.f64 x (neg.f64 y))
(* -1 (* x (- (/ 1 y) (/ 1 x))))
(-.f64 #s(literal 1 binary64) (/.f64 x y))
(* -1 (* x (- (/ 1 y) (/ 1 x))))
(-.f64 #s(literal 1 binary64) (/.f64 x y))
(* -1 (* x (- (/ 1 y) (/ 1 x))))
(-.f64 #s(literal 1 binary64) (/.f64 x y))
(* -1 (/ x y))
(/.f64 x (neg.f64 y))
(/ (+ y (* -1 x)) y)
(-.f64 #s(literal 1 binary64) (/.f64 x y))
(/ (+ y (* -1 x)) y)
(-.f64 #s(literal 1 binary64) (/.f64 x y))
(/ (+ y (* -1 x)) y)
(-.f64 #s(literal 1 binary64) (/.f64 x y))
1
#s(literal 1 binary64)
(+ 1 (* -1 (/ x y)))
(-.f64 #s(literal 1 binary64) (/.f64 x y))
(+ 1 (* -1 (/ x y)))
(-.f64 #s(literal 1 binary64) (/.f64 x y))
(+ 1 (* -1 (/ x y)))
(-.f64 #s(literal 1 binary64) (/.f64 x y))
1
#s(literal 1 binary64)
(+ 1 (* -1 (/ x y)))
(-.f64 #s(literal 1 binary64) (/.f64 x y))
(+ 1 (* -1 (/ x y)))
(-.f64 #s(literal 1 binary64) (/.f64 x y))
(+ 1 (* -1 (/ x y)))
(-.f64 #s(literal 1 binary64) (/.f64 x y))
(* -1 y)
(neg.f64 y)
(- x y)
(-.f64 x y)
(- x y)
(-.f64 x y)
(- x y)
(-.f64 x y)
x
(* x (+ 1 (* -1 (/ y x))))
(-.f64 x y)
(* x (+ 1 (* -1 (/ y x))))
(-.f64 x y)
(* x (+ 1 (* -1 (/ y x))))
(-.f64 x y)
x
(* -1 (* x (- (/ y x) 1)))
(-.f64 x y)
(* -1 (* x (- (/ y x) 1)))
(-.f64 x y)
(* -1 (* x (- (/ y x) 1)))
(-.f64 x y)
x
(+ x (* -1 y))
(-.f64 x y)
(+ x (* -1 y))
(-.f64 x y)
(+ x (* -1 y))
(-.f64 x y)
(* -1 y)
(neg.f64 y)
(* y (- (/ x y) 1))
(-.f64 x y)
(* y (- (/ x y) 1))
(-.f64 x y)
(* y (- (/ x y) 1))
(-.f64 x y)
(* -1 y)
(neg.f64 y)
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(-.f64 x y)
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(-.f64 x y)
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(-.f64 x y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)

eval133.0ms (1.2%)

Memory
4.7MiB live, 237.5MiB allocated
Compiler

Compiled 19 363 to 2 444 computations (87.4% saved)

prune133.0ms (1.2%)

Memory
8.7MiB live, 289.4MiB allocated
Pruning

19 alts after pruning (7 fresh and 12 done)

PrunedKeptTotal
New1 04321 045
Fresh257
Picked145
Done088
Total1 046191 065
Accuracy
100.0%
Counts
1 065 → 19
Alt Table
Click to see full alt table
StatusAccuracyProgram
40.9%
(/.f64 (-.f64 y x) x)
✓100.0%
(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y)))
✓60.0%
(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) x))
✓49.3%
(/.f64 y (+.f64 (+.f64 x y) #s(literal -2 binary64)))
✓48.9%
(/.f64 y (+.f64 y #s(literal -2 binary64)))
✓51.8%
(/.f64 x (-.f64 #s(literal 2 binary64) x))
✓99.9%
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 2 binary64) (+.f64 x y)) (-.f64 x y)))
40.1%
(-.f64 #s(literal 1 binary64) (/.f64 x y))
41.4%
(+.f64 (/.f64 (fma.f64 y #s(literal 2 binary64) #s(literal -2 binary64)) x) #s(literal -1 binary64))
40.9%
(+.f64 (/.f64 y x) #s(literal -1 binary64))
40.3%
(+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 2 binary64)) y))
✓99.8%
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (+.f64 x y))) (-.f64 x y))
✓20.9%
(*.f64 (-.f64 y x) #s(literal -1/2 binary64))
10.6%
(*.f64 y (fma.f64 y #s(literal -1/4 binary64) #s(literal -1/2 binary64)))
11.0%
(*.f64 y #s(literal -1/2 binary64))
✓12.6%
(*.f64 x (fma.f64 x #s(literal 1/4 binary64) #s(literal 1/2 binary64)))
✓13.2%
(*.f64 x #s(literal 1/2 binary64))
✓39.9%
#s(literal 1 binary64)
✓40.6%
#s(literal -1 binary64)
Compiler

Compiled 310 to 167 computations (46.1% saved)

regimes33.0ms (0.3%)

Memory
-30.2MiB live, 46.9MiB allocated
Counts
26 → 1
Calls
Call 1
Inputs
#s(literal -1 binary64)
#s(literal 1 binary64)
(*.f64 x #s(literal 1/2 binary64))
(*.f64 y #s(literal -1/2 binary64))
(*.f64 (-.f64 y x) #s(literal -1/2 binary64))
(*.f64 x (fma.f64 x #s(literal 1/4 binary64) #s(literal 1/2 binary64)))
(*.f64 y (fma.f64 y #s(literal -1/4 binary64) #s(literal -1/2 binary64)))
(+.f64 (/.f64 y x) #s(literal -1 binary64))
(-.f64 #s(literal 1 binary64) (/.f64 x y))
(/.f64 x (-.f64 #s(literal 2 binary64) x))
(/.f64 y (+.f64 y #s(literal -2 binary64)))
(/.f64 (-.f64 x y) #s(literal 2 binary64))
(/.f64 (-.f64 y x) x)
(/.f64 (-.f64 x y) (neg.f64 x))
(/.f64 (-.f64 x y) (neg.f64 y))
(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 2 binary64) x) y))
(/.f64 y (+.f64 (+.f64 x y) #s(literal -2 binary64)))
(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) x))
(/.f64 (neg.f64 y) (-.f64 #s(literal 2 binary64) (+.f64 x y)))
(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 2 binary64) (+.f64 x x)) y))
(+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 2 binary64)) y))
(+.f64 (/.f64 (fma.f64 y #s(literal 2 binary64) #s(literal -2 binary64)) x) #s(literal -1 binary64))
(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y)))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (+.f64 x y))) (-.f64 x y))
(/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal -2 binary64) y) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 2 binary64) (+.f64 x y)) (-.f64 x y)))
Outputs
(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y)))
Calls

3 calls:

8.0ms
(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y)))
8.0ms
x
8.0ms
y
Results
AccuracySegmentsBranch
100.0%1x
100.0%1y
100.0%1(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y)))
Compiler

Compiled 17 to 11 computations (35.3% saved)

regimes21.0ms (0.2%)

Memory
33.4MiB live, 33.4MiB allocated
Counts
22 → 2
Calls
Call 1
Inputs
#s(literal -1 binary64)
#s(literal 1 binary64)
(*.f64 x #s(literal 1/2 binary64))
(*.f64 y #s(literal -1/2 binary64))
(*.f64 (-.f64 y x) #s(literal -1/2 binary64))
(*.f64 x (fma.f64 x #s(literal 1/4 binary64) #s(literal 1/2 binary64)))
(*.f64 y (fma.f64 y #s(literal -1/4 binary64) #s(literal -1/2 binary64)))
(+.f64 (/.f64 y x) #s(literal -1 binary64))
(-.f64 #s(literal 1 binary64) (/.f64 x y))
(/.f64 x (-.f64 #s(literal 2 binary64) x))
(/.f64 y (+.f64 y #s(literal -2 binary64)))
(/.f64 (-.f64 x y) #s(literal 2 binary64))
(/.f64 (-.f64 y x) x)
(/.f64 (-.f64 x y) (neg.f64 x))
(/.f64 (-.f64 x y) (neg.f64 y))
(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 2 binary64) x) y))
(/.f64 y (+.f64 (+.f64 x y) #s(literal -2 binary64)))
(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) x))
(/.f64 (neg.f64 y) (-.f64 #s(literal 2 binary64) (+.f64 x y)))
(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 2 binary64) (+.f64 x x)) y))
(+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 2 binary64)) y))
(+.f64 (/.f64 (fma.f64 y #s(literal 2 binary64) #s(literal -2 binary64)) x) #s(literal -1 binary64))
Outputs
(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) x))
(/.f64 y (+.f64 (+.f64 x y) #s(literal -2 binary64)))
Calls

3 calls:

7.0ms
x
7.0ms
y
6.0ms
(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y)))
Results
AccuracySegmentsBranch
79.4%3x
87.1%3y
98.3%2(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y)))
Compiler

Compiled 17 to 11 computations (35.3% saved)

regimes20.0ms (0.2%)

Memory
-27.3MiB live, 10.1MiB allocated
Counts
17 → 3
Calls
Call 1
Inputs
#s(literal -1 binary64)
#s(literal 1 binary64)
(*.f64 x #s(literal 1/2 binary64))
(*.f64 y #s(literal -1/2 binary64))
(*.f64 (-.f64 y x) #s(literal -1/2 binary64))
(*.f64 x (fma.f64 x #s(literal 1/4 binary64) #s(literal 1/2 binary64)))
(*.f64 y (fma.f64 y #s(literal -1/4 binary64) #s(literal -1/2 binary64)))
(+.f64 (/.f64 y x) #s(literal -1 binary64))
(-.f64 #s(literal 1 binary64) (/.f64 x y))
(/.f64 x (-.f64 #s(literal 2 binary64) x))
(/.f64 y (+.f64 y #s(literal -2 binary64)))
(/.f64 (-.f64 x y) #s(literal 2 binary64))
(/.f64 (-.f64 y x) x)
(/.f64 (-.f64 x y) (neg.f64 x))
(/.f64 (-.f64 x y) (neg.f64 y))
(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 2 binary64) x) y))
(/.f64 y (+.f64 (+.f64 x y) #s(literal -2 binary64)))
Outputs
(/.f64 x (-.f64 #s(literal 2 binary64) x))
(*.f64 (-.f64 y x) #s(literal -1/2 binary64))
(/.f64 y (+.f64 (+.f64 x y) #s(literal -2 binary64)))
Calls

1 calls:

19.0ms
(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y)))
Results
AccuracySegmentsBranch
98.2%3(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y)))
Compiler

Compiled 11 to 7 computations (36.4% saved)

regimes5.0ms (0.1%)

Memory
11.2MiB live, 11.2MiB allocated
Counts
16 → 3
Calls
Call 1
Inputs
#s(literal -1 binary64)
#s(literal 1 binary64)
(*.f64 x #s(literal 1/2 binary64))
(*.f64 y #s(literal -1/2 binary64))
(*.f64 (-.f64 y x) #s(literal -1/2 binary64))
(*.f64 x (fma.f64 x #s(literal 1/4 binary64) #s(literal 1/2 binary64)))
(*.f64 y (fma.f64 y #s(literal -1/4 binary64) #s(literal -1/2 binary64)))
(+.f64 (/.f64 y x) #s(literal -1 binary64))
(-.f64 #s(literal 1 binary64) (/.f64 x y))
(/.f64 x (-.f64 #s(literal 2 binary64) x))
(/.f64 y (+.f64 y #s(literal -2 binary64)))
(/.f64 (-.f64 x y) #s(literal 2 binary64))
(/.f64 (-.f64 y x) x)
(/.f64 (-.f64 x y) (neg.f64 x))
(/.f64 (-.f64 x y) (neg.f64 y))
(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 2 binary64) x) y))
Outputs
(/.f64 x (-.f64 #s(literal 2 binary64) x))
(*.f64 (-.f64 y x) #s(literal -1/2 binary64))
(/.f64 y (+.f64 y #s(literal -2 binary64)))
Calls

1 calls:

5.0ms
(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y)))
Results
AccuracySegmentsBranch
98.1%3(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y)))
Compiler

Compiled 11 to 7 computations (36.4% saved)

regimes4.0ms (0%)

Memory
8.8MiB live, 8.8MiB allocated
Counts
10 → 3
Calls
Call 1
Inputs
#s(literal -1 binary64)
#s(literal 1 binary64)
(*.f64 x #s(literal 1/2 binary64))
(*.f64 y #s(literal -1/2 binary64))
(*.f64 (-.f64 y x) #s(literal -1/2 binary64))
(*.f64 x (fma.f64 x #s(literal 1/4 binary64) #s(literal 1/2 binary64)))
(*.f64 y (fma.f64 y #s(literal -1/4 binary64) #s(literal -1/2 binary64)))
(+.f64 (/.f64 y x) #s(literal -1 binary64))
(-.f64 #s(literal 1 binary64) (/.f64 x y))
(/.f64 x (-.f64 #s(literal 2 binary64) x))
Outputs
(/.f64 x (-.f64 #s(literal 2 binary64) x))
(*.f64 (-.f64 y x) #s(literal -1/2 binary64))
(-.f64 #s(literal 1 binary64) (/.f64 x y))
Calls

1 calls:

3.0ms
(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y)))
Results
AccuracySegmentsBranch
97.1%3(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y)))
Compiler

Compiled 11 to 7 computations (36.4% saved)

regimes4.0ms (0%)

Memory
8.7MiB live, 8.7MiB allocated
Counts
9 → 3
Calls
Call 1
Inputs
#s(literal -1 binary64)
#s(literal 1 binary64)
(*.f64 x #s(literal 1/2 binary64))
(*.f64 y #s(literal -1/2 binary64))
(*.f64 (-.f64 y x) #s(literal -1/2 binary64))
(*.f64 x (fma.f64 x #s(literal 1/4 binary64) #s(literal 1/2 binary64)))
(*.f64 y (fma.f64 y #s(literal -1/4 binary64) #s(literal -1/2 binary64)))
(+.f64 (/.f64 y x) #s(literal -1 binary64))
(-.f64 #s(literal 1 binary64) (/.f64 x y))
Outputs
(+.f64 (/.f64 y x) #s(literal -1 binary64))
(*.f64 (-.f64 y x) #s(literal -1/2 binary64))
(-.f64 #s(literal 1 binary64) (/.f64 x y))
Calls

1 calls:

3.0ms
(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y)))
Results
AccuracySegmentsBranch
96.2%3(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y)))
Compiler

Compiled 11 to 7 computations (36.4% saved)

regimes12.0ms (0.1%)

Memory
-60.0MiB live, 7.7MiB allocated
Counts
8 → 3
Calls
Call 1
Inputs
#s(literal -1 binary64)
#s(literal 1 binary64)
(*.f64 x #s(literal 1/2 binary64))
(*.f64 y #s(literal -1/2 binary64))
(*.f64 (-.f64 y x) #s(literal -1/2 binary64))
(*.f64 x (fma.f64 x #s(literal 1/4 binary64) #s(literal 1/2 binary64)))
(*.f64 y (fma.f64 y #s(literal -1/4 binary64) #s(literal -1/2 binary64)))
(+.f64 (/.f64 y x) #s(literal -1 binary64))
Outputs
(+.f64 (/.f64 y x) #s(literal -1 binary64))
(*.f64 (-.f64 y x) #s(literal -1/2 binary64))
#s(literal 1 binary64)
Calls

1 calls:

12.0ms
(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y)))
Results
AccuracySegmentsBranch
96.2%3(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y)))
Compiler

Compiled 11 to 7 computations (36.4% saved)

regimes3.0ms (0%)

Memory
5.4MiB live, 5.4MiB allocated
Counts
7 → 3
Calls
Call 1
Inputs
#s(literal -1 binary64)
#s(literal 1 binary64)
(*.f64 x #s(literal 1/2 binary64))
(*.f64 y #s(literal -1/2 binary64))
(*.f64 (-.f64 y x) #s(literal -1/2 binary64))
(*.f64 x (fma.f64 x #s(literal 1/4 binary64) #s(literal 1/2 binary64)))
(*.f64 y (fma.f64 y #s(literal -1/4 binary64) #s(literal -1/2 binary64)))
Outputs
#s(literal -1 binary64)
(*.f64 (-.f64 y x) #s(literal -1/2 binary64))
#s(literal 1 binary64)
Calls

1 calls:

3.0ms
(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y)))
Results
AccuracySegmentsBranch
96.2%3(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y)))
Compiler

Compiled 11 to 7 computations (36.4% saved)

regimes2.0ms (0%)

Memory
4.2MiB live, 4.2MiB allocated
Counts
4 → 4
Calls
Call 1
Inputs
#s(literal -1 binary64)
#s(literal 1 binary64)
(*.f64 x #s(literal 1/2 binary64))
(*.f64 y #s(literal -1/2 binary64))
Outputs
#s(literal -1 binary64)
(*.f64 y #s(literal -1/2 binary64))
(*.f64 x #s(literal 1/2 binary64))
#s(literal 1 binary64)
Calls

1 calls:

2.0ms
(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y)))
Results
AccuracySegmentsBranch
90.0%4(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y)))
Compiler

Compiled 11 to 7 computations (36.4% saved)

regimes2.0ms (0%)

Memory
3.7MiB live, 3.7MiB allocated
Counts
3 → 3
Calls
Call 1
Inputs
#s(literal -1 binary64)
#s(literal 1 binary64)
(*.f64 x #s(literal 1/2 binary64))
Outputs
#s(literal -1 binary64)
(*.f64 x #s(literal 1/2 binary64))
#s(literal 1 binary64)
Calls

1 calls:

2.0ms
(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y)))
Results
AccuracySegmentsBranch
88.1%3(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y)))
Compiler

Compiled 11 to 7 computations (36.4% saved)

regimes3.0ms (0%)

Memory
6.4MiB live, 6.4MiB allocated
Counts
2 → 2
Calls
Call 1
Inputs
#s(literal -1 binary64)
#s(literal 1 binary64)
Outputs
#s(literal -1 binary64)
#s(literal 1 binary64)
Calls

2 calls:

2.0ms
y
1.0ms
(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y)))
Results
AccuracySegmentsBranch
67.9%3y
78.9%2(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y)))
Compiler

Compiled 14 to 9 computations (35.7% saved)

regimes4.0ms (0%)

Memory
9.7MiB live, 9.7MiB allocated
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts
1 → 1
Calls
Call 1
Inputs
#s(literal -1 binary64)
Outputs
#s(literal -1 binary64)
Calls

3 calls:

1.0ms
x
1.0ms
y
1.0ms
(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y)))
Results
AccuracySegmentsBranch
40.6%1y
40.6%1x
40.6%1(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y)))
Compiler

Compiled 17 to 11 computations (35.3% saved)

bsearch0.0ms (0%)

Memory
0.7MiB live, 0.7MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
2.772635186024287e-13
1.2409734485132491e-9
Compiler

Compiled 14 to 12 computations (14.3% saved)

bsearch0.0ms (0%)

Memory
0.7MiB live, 0.7MiB allocated
Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
2.772635186024287e-13
1.2409734485132491e-9
0.0ms
-9.032655744020217e-15
-1.0362231958602736e-20
Compiler

Compiled 14 to 12 computations (14.3% saved)

bsearch0.0ms (0%)

Memory
0.8MiB live, 0.8MiB allocated
Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
2.772635186024287e-13
1.2409734485132491e-9
0.0ms
-9.032655744020217e-15
-1.0362231958602736e-20
Compiler

Compiled 14 to 12 computations (14.3% saved)

bsearch0.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated
Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
1.2409734485132491e-9
0.9999999999999996
0.0ms
-9.032655744020217e-15
-1.0362231958602736e-20
Compiler

Compiled 14 to 12 computations (14.3% saved)

bsearch0.0ms (0%)

Memory
0.7MiB live, 0.7MiB allocated
Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
1.2409734485132491e-9
0.9999999999999996
0.0ms
-0.16800677421151478
-0.007467843906295237
Compiler

Compiled 14 to 12 computations (14.3% saved)

bsearch0.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated
Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
1.2409734485132491e-9
0.9999999999999996
0.0ms
-0.16800677421151478
-0.007467843906295237
Compiler

Compiled 14 to 12 computations (14.3% saved)

bsearch0.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated
Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
1.2409734485132491e-9
0.9999999999999996
0.0ms
-0.16800677421151478
-0.007467843906295237
Compiler

Compiled 14 to 12 computations (14.3% saved)

bsearch0.0ms (0%)

Memory
0.9MiB live, 0.9MiB allocated
Algorithm
3×left-value
Steps
TimeLeftRight
0.0ms
2.772635186024287e-13
1.2409734485132491e-9
0.0ms
-7.959205773635281e-84
-2.3679320001171001e-85
0.0ms
-9.032655744020217e-15
-1.0362231958602736e-20
Compiler

Compiled 14 to 12 computations (14.3% saved)

bsearch0.0ms (0%)

Memory
0.7MiB live, 0.7MiB allocated
Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
2.772635186024287e-13
1.2409734485132491e-9
0.0ms
-0.16800677421151478
-0.007467843906295237
Compiler

Compiled 14 to 12 computations (14.3% saved)

bsearch14.0ms (0.1%)

Memory
-12.1MiB live, 25.8MiB allocated
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
14.0ms
-3.967695497219839e-230
1.0162893228900072e-231
Samples
6.0ms224×0valid
Compiler

Compiled 126 to 124 computations (1.6% saved)

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

simplify14.0ms (0.1%)

Memory
-14.0MiB live, 23.3MiB allocated
Algorithm
1×egg-herbie
Rules
26×+-commutative_binary64
18×sub-neg_binary64
14×*-commutative_binary64
8×neg-sub0_binary64
8×neg-mul-1_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
055347
174347
291347
3101347
4105347
Stop Event
1×saturated
Calls
Call 1
Inputs
(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y)))
(if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal 4951760157141521/9903520314283042199192993792 binary64)) (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) x)) (/.f64 y (+.f64 (+.f64 x y) #s(literal -2 binary64))))
(if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal -6338253001141147/1267650600228229401496703205376 binary64)) (/.f64 x (-.f64 #s(literal 2 binary64) x)) (if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal 4951760157141521/9903520314283042199192993792 binary64)) (*.f64 (-.f64 y x) #s(literal -1/2 binary64)) (/.f64 y (+.f64 (+.f64 x y) #s(literal -2 binary64)))))
(if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal -6338253001141147/1267650600228229401496703205376 binary64)) (/.f64 x (-.f64 #s(literal 2 binary64) x)) (if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal 4951760157141521/9903520314283042199192993792 binary64)) (*.f64 (-.f64 y x) #s(literal -1/2 binary64)) (/.f64 y (+.f64 y #s(literal -2 binary64)))))
(if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal -6338253001141147/1267650600228229401496703205376 binary64)) (/.f64 x (-.f64 #s(literal 2 binary64) x)) (if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal 4835703278458517/2417851639229258349412352 binary64)) (*.f64 (-.f64 y x) #s(literal -1/2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 x y))))
(if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal -3602879701896397/36028797018963968 binary64)) (+.f64 (/.f64 y x) #s(literal -1 binary64)) (if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal 4835703278458517/2417851639229258349412352 binary64)) (*.f64 (-.f64 y x) #s(literal -1/2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 x y))))
(if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal -3602879701896397/36028797018963968 binary64)) (+.f64 (/.f64 y x) #s(literal -1 binary64)) (if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal 4835703278458517/2417851639229258349412352 binary64)) (*.f64 (-.f64 y x) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal -3602879701896397/36028797018963968 binary64)) #s(literal -1 binary64) (if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal 4835703278458517/2417851639229258349412352 binary64)) (*.f64 (-.f64 y x) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal -6338253001141147/1267650600228229401496703205376 binary64)) #s(literal -1 binary64) (if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal -2734063405978765/546812681195752981093125556779405341338292357723303109106442651602488249799843980805878294255763456 binary64)) (*.f64 y #s(literal -1/2 binary64)) (if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal 4951760157141521/9903520314283042199192993792 binary64)) (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal -3602879701896397/36028797018963968 binary64)) #s(literal -1 binary64) (if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal 4951760157141521/9903520314283042199192993792 binary64)) (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(literal -1 binary64) #s(literal 1 binary64))
#s(literal -1 binary64)
Outputs
(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y)))
(if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal 4951760157141521/9903520314283042199192993792 binary64)) (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) x)) (/.f64 y (+.f64 (+.f64 x y) #s(literal -2 binary64))))
(if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal -6338253001141147/1267650600228229401496703205376 binary64)) (/.f64 x (-.f64 #s(literal 2 binary64) x)) (if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal 4951760157141521/9903520314283042199192993792 binary64)) (*.f64 (-.f64 y x) #s(literal -1/2 binary64)) (/.f64 y (+.f64 (+.f64 x y) #s(literal -2 binary64)))))
(if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal -6338253001141147/1267650600228229401496703205376 binary64)) (/.f64 x (-.f64 #s(literal 2 binary64) x)) (if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal 4951760157141521/9903520314283042199192993792 binary64)) (*.f64 (-.f64 y x) #s(literal -1/2 binary64)) (/.f64 y (+.f64 y #s(literal -2 binary64)))))
(if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal -6338253001141147/1267650600228229401496703205376 binary64)) (/.f64 x (-.f64 #s(literal 2 binary64) x)) (if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal 4835703278458517/2417851639229258349412352 binary64)) (*.f64 (-.f64 y x) #s(literal -1/2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 x y))))
(if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal -3602879701896397/36028797018963968 binary64)) (+.f64 (/.f64 y x) #s(literal -1 binary64)) (if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal 4835703278458517/2417851639229258349412352 binary64)) (*.f64 (-.f64 y x) #s(literal -1/2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 x y))))
(if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal -3602879701896397/36028797018963968 binary64)) (+.f64 (/.f64 y x) #s(literal -1 binary64)) (if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal 4835703278458517/2417851639229258349412352 binary64)) (*.f64 (-.f64 y x) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal -3602879701896397/36028797018963968 binary64)) #s(literal -1 binary64) (if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal 4835703278458517/2417851639229258349412352 binary64)) (*.f64 (-.f64 y x) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal -6338253001141147/1267650600228229401496703205376 binary64)) #s(literal -1 binary64) (if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal -2734063405978765/546812681195752981093125556779405341338292357723303109106442651602488249799843980805878294255763456 binary64)) (*.f64 y #s(literal -1/2 binary64)) (if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal 4951760157141521/9903520314283042199192993792 binary64)) (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal -3602879701896397/36028797018963968 binary64)) #s(literal -1 binary64) (if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal 4951760157141521/9903520314283042199192993792 binary64)) (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(literal -1 binary64) #s(literal 1 binary64))
#s(literal -1 binary64)

soundness1.4s (13.4%)

Memory
27.7MiB live, 942.4MiB allocated
Rules
12 038×lower-fma.f64
12 038×lower-fma.f32
8 916×lower-fma.f64
8 916×lower-fma.f32
6 266×lower-fma.f64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
04132119
112931970
240591931
090201812
0186985
1571921
21809857
37607851
08573806
01654
02754
111952
286951
0884251
01454
02454
111752
296551
0863251
01645
02745
111244
282844
0870744
Stop Event
1×fuel
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×node limit
1×iter limit
1×node limit
Compiler

Compiled 690 to 301 computations (56.4% saved)

preprocess92.0ms (0.9%)

Memory
6.6MiB live, 160.3MiB allocated
Compiler

Compiled 754 to 140 computations (81.4% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

Loading profile data...