Numeric.SpecFunctions:logGamma from math-functions-0.1.5.2, A

Time bar (total: 7.9s)

analyze0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
100%99.9%0%0.1%0%0%0%1
Compiler

Compiled 13 to 12 computations (7.7% saved)

sample1.1s (13.4%)

Memory
-15.0MiB live, 1 896.6MiB allocated
Samples
588.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 408.0ms
const: 140.0ms (34.3% of total)
ival-mult: 122.0ms (29.9% of total)
ival-sub: 81.0ms (19.9% of total)
ival-add: 47.0ms (11.5% of total)
exact: 8.0ms (2% of total)
ival-true: 6.0ms (1.5% of total)
ival-assert: 3.0ms (0.7% of total)
Bogosity

preprocess175.0ms (2.2%)

Memory
11.6MiB live, 125.8MiB allocated
Algorithm
1×egg-herbie
Rules
1 376×lower-fma.f64
1 376×lower-fma.f32
670×sub-neg
472×unsub-neg
462×distribute-rgt-in
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02461
17559
219655
361749
4151245
5280545
6339445
7351145
8353145
9353345
10353545
11355545
01011
01511
13011
25811
31169
42189
54479
68529
712529
814899
915109
015108
Stop Event
1×iter limit
1×saturated
1×iter limit
1×saturated
Calls
Call 1
Inputs
(+.f64 (-.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 y #s(literal 1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64))
Outputs
(+.f64 (-.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 y #s(literal 1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64))
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x))

explain180.0ms (2.3%)

Memory
32.1MiB live, 191.9MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-(-.f64 y #s(literal 1 binary64))
00-0-#s(literal 1 binary64)
00-0-(+.f64 (-.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 y #s(literal 1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64))
00-0-(-.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 y #s(literal 1/2 binary64)))
00-0-#s(literal 918938533204673/1000000000000000 binary64)
00-0-(*.f64 x (-.f64 y #s(literal 1 binary64)))
00-0-y
00-0-(*.f64 y #s(literal 1/2 binary64))
00-0-#s(literal 1/2 binary64)
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
56.0ms510×0valid
0.0ms2×1valid
Compiler

Compiled 102 to 44 computations (56.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 40.0ms
ival-mult: 22.0ms (54.7% of total)
const: 10.0ms (24.8% of total)
ival-sub: 5.0ms (12.4% of total)
ival-add: 2.0ms (5% of total)
exact: 1.0ms (2.5% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

eval0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated
Compiler

Compiled 2 to 2 computations (0% saved)

prune1.0ms (0%)

Memory
1.3MiB live, 1.3MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶100.0%
(+.f64 (-.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 y #s(literal 1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64))
Compiler

Compiled 13 to 10 computations (23.1% saved)

simplify208.0ms (2.6%)

Memory
-3.4MiB live, 78.4MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(-.f64 y #s(literal 1 binary64))
✓cost-diff0
(*.f64 x (-.f64 y #s(literal 1 binary64)))
✓cost-diff128
(+.f64 (-.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 y #s(literal 1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64))
✓cost-diff320
(-.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 y #s(literal 1/2 binary64)))
Rules
1 376×lower-fma.f64
1 376×lower-fma.f32
352×lower-+.f32
352×lower--.f32
350×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01036
01536
13036
25836
311632
421832
544732
685232
7125232
8148932
9151032
0151031
Stop Event
1×iter limit
1×saturated
1×iter limit
Calls
Call 1
Inputs
(+.f64 (-.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 y #s(literal 1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64))
(-.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 y #s(literal 1/2 binary64)))
(*.f64 x (-.f64 y #s(literal 1 binary64)))
x
(-.f64 y #s(literal 1 binary64))
y
#s(literal 1 binary64)
(*.f64 y #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
#s(literal 918938533204673/1000000000000000 binary64)
Outputs
(+.f64 (-.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 y #s(literal 1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64))
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x))
(-.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 y #s(literal 1/2 binary64)))
(fma.f64 y (+.f64 x #s(literal -1/2 binary64)) (neg.f64 x))
(*.f64 x (-.f64 y #s(literal 1 binary64)))
(-.f64 (*.f64 x y) x)
x
(-.f64 y #s(literal 1 binary64))
(+.f64 y #s(literal -1 binary64))
y
#s(literal 1 binary64)
(*.f64 y #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
#s(literal 918938533204673/1000000000000000 binary64)

localize94.0ms (1.2%)

Memory
-28.5MiB live, 48.9MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(+.f64 (-.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 y #s(literal 1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64))
✓accuracy100.0%
(*.f64 y #s(literal 1/2 binary64))
✓accuracy100.0%
(-.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 y #s(literal 1/2 binary64)))
✓accuracy100.0%
(*.f64 x (-.f64 y #s(literal 1 binary64)))
Samples
34.0ms255×0valid
0.0ms1×1valid
Compiler

Compiled 38 to 12 computations (68.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 27.0ms
ival-mult: 18.0ms (67.8% of total)
const: 4.0ms (15.1% of total)
ival-sub: 3.0ms (11.3% of total)
ival-add: 1.0ms (3.8% 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)

series6.0ms (0.1%)

Memory
10.5MiB live, 10.5MiB allocated
Counts
5 → 96
Calls
Call 1
Inputs
#<alt (-.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 y #s(literal 1/2 binary64)))>
#<alt (+.f64 (-.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 y #s(literal 1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64))>
#<alt (*.f64 x (-.f64 y #s(literal 1 binary64)))>
#<alt (-.f64 y #s(literal 1 binary64))>
#<alt (*.f64 y #s(literal 1/2 binary64))>
Outputs
#<alt (* -1/2 y)>
#<alt (- (* x (- y 1)) (* 1/2 y))>
#<alt (- (* x (- y 1)) (* 1/2 y))>
#<alt (- (* x (- y 1)) (* 1/2 y))>
#<alt (* x (- y 1))>
#<alt (* x (- (+ y (* -1/2 (/ y x))) 1))>
#<alt (* x (- (+ y (* -1/2 (/ y x))) 1))>
#<alt (* x (- (+ y (* -1/2 (/ y x))) 1))>
#<alt (* x (- y 1))>
#<alt (* -1 (* x (+ (* -1 (- y 1)) (* 1/2 (/ y x)))))>
#<alt (* -1 (* x (+ (* -1 (- y 1)) (* 1/2 (/ y x)))))>
#<alt (* -1 (* x (+ (* -1 (- y 1)) (* 1/2 (/ y x)))))>
#<alt (* -1 x)>
#<alt (+ (* -1 x) (* y (- x 1/2)))>
#<alt (+ (* -1 x) (* y (- x 1/2)))>
#<alt (+ (* -1 x) (* y (- x 1/2)))>
#<alt (* y (- x 1/2))>
#<alt (* y (- (+ x (* -1 (/ x y))) 1/2))>
#<alt (* y (- (+ x (* -1 (/ x y))) 1/2))>
#<alt (* y (- (+ x (* -1 (/ x y))) 1/2))>
#<alt (* -1 (* y (+ 1/2 (* -1 x))))>
#<alt (* -1 (* y (+ 1/2 (+ (* -1 x) (/ x y)))))>
#<alt (* -1 (* y (+ 1/2 (+ (* -1 x) (/ x y)))))>
#<alt (* -1 (* y (+ 1/2 (+ (* -1 x) (/ x y)))))>
#<alt (- 918938533204673/1000000000000000 (* 1/2 y))>
#<alt (- (+ 918938533204673/1000000000000000 (* x (- y 1))) (* 1/2 y))>
#<alt (- (+ 918938533204673/1000000000000000 (* x (- y 1))) (* 1/2 y))>
#<alt (- (+ 918938533204673/1000000000000000 (* x (- y 1))) (* 1/2 y))>
#<alt (* x (- y 1))>
#<alt (* x (- (+ y (* 918938533204673/1000000000000000 (/ 1 x))) (+ 1 (* 1/2 (/ y x)))))>
#<alt (* x (- (+ y (* 918938533204673/1000000000000000 (/ 1 x))) (+ 1 (* 1/2 (/ y x)))))>
#<alt (* x (- (+ y (* 918938533204673/1000000000000000 (/ 1 x))) (+ 1 (* 1/2 (/ y x)))))>
#<alt (* x (- y 1))>
#<alt (* -1 (* x (+ (* -1 (- y 1)) (* -1 (/ (- 918938533204673/1000000000000000 (* 1/2 y)) x)))))>
#<alt (* -1 (* x (+ (* -1 (- y 1)) (* -1 (/ (- 918938533204673/1000000000000000 (* 1/2 y)) x)))))>
#<alt (* -1 (* x (+ (* -1 (- y 1)) (* -1 (/ (- 918938533204673/1000000000000000 (* 1/2 y)) x)))))>
#<alt (+ 918938533204673/1000000000000000 (* -1 x))>
#<alt (+ 918938533204673/1000000000000000 (+ (* -1 x) (* y (- x 1/2))))>
#<alt (+ 918938533204673/1000000000000000 (+ (* -1 x) (* y (- x 1/2))))>
#<alt (+ 918938533204673/1000000000000000 (+ (* -1 x) (* y (- x 1/2))))>
#<alt (* y (- x 1/2))>
#<alt (* y (- (+ x (+ (* -1 (/ x y)) (* 918938533204673/1000000000000000 (/ 1 y)))) 1/2))>
#<alt (* y (- (+ x (+ (* -1 (/ x y)) (* 918938533204673/1000000000000000 (/ 1 y)))) 1/2))>
#<alt (* y (- (+ x (+ (* -1 (/ x y)) (* 918938533204673/1000000000000000 (/ 1 y)))) 1/2))>
#<alt (* -1 (* y (+ 1/2 (* -1 x))))>
#<alt (* -1 (* y (+ 1/2 (+ (* -1 x) (* -1 (/ (+ 918938533204673/1000000000000000 (* -1 x)) y))))))>
#<alt (* -1 (* y (+ 1/2 (+ (* -1 x) (* -1 (/ (+ 918938533204673/1000000000000000 (* -1 x)) y))))))>
#<alt (* -1 (* y (+ 1/2 (+ (* -1 x) (* -1 (/ (+ 918938533204673/1000000000000000 (* -1 x)) y))))))>
#<alt (* x (- y 1))>
#<alt (* x (- y 1))>
#<alt (* x (- y 1))>
#<alt (* x (- y 1))>
#<alt (* x (- y 1))>
#<alt (* x (- y 1))>
#<alt (* x (- y 1))>
#<alt (* x (- y 1))>
#<alt (* x (- y 1))>
#<alt (* x (- y 1))>
#<alt (* x (- y 1))>
#<alt (* x (- y 1))>
#<alt (* -1 x)>
#<alt (+ (* -1 x) (* x y))>
#<alt (+ (* -1 x) (* x y))>
#<alt (+ (* -1 x) (* x y))>
#<alt (* x y)>
#<alt (* y (+ x (* -1 (/ x y))))>
#<alt (* y (+ x (* -1 (/ x y))))>
#<alt (* y (+ x (* -1 (/ x y))))>
#<alt (* x y)>
#<alt (* -1 (* y (+ (* -1 x) (/ x y))))>
#<alt (* -1 (* y (+ (* -1 x) (/ x y))))>
#<alt (* -1 (* y (+ (* -1 x) (/ x y))))>
#<alt -1>
#<alt (- y 1)>
#<alt (- y 1)>
#<alt (- y 1)>
#<alt y>
#<alt (* y (- 1 (/ 1 y)))>
#<alt (* y (- 1 (/ 1 y)))>
#<alt (* y (- 1 (/ 1 y)))>
#<alt y>
#<alt (* -1 (* y (- (/ 1 y) 1)))>
#<alt (* -1 (* y (- (/ 1 y) 1)))>
#<alt (* -1 (* y (- (/ 1 y) 1)))>
#<alt (* 1/2 y)>
#<alt (* 1/2 y)>
#<alt (* 1/2 y)>
#<alt (* 1/2 y)>
#<alt (* 1/2 y)>
#<alt (* 1/2 y)>
#<alt (* 1/2 y)>
#<alt (* 1/2 y)>
#<alt (* 1/2 y)>
#<alt (* 1/2 y)>
#<alt (* 1/2 y)>
#<alt (* 1/2 y)>
Calls

24 calls:

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

rewrite569.0ms (7.2%)

Memory
-3.4MiB live, 629.7MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
7 498×lower-fma.f64
7 498×lower-fma.f32
4 788×lower-*.f32
4 784×lower-*.f64
3 354×lower-/.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01031
01531
16931
252031
3772031
0824928
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
5 → 384
Calls
Call 1
Inputs
(-.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 y #s(literal 1/2 binary64)))
(+.f64 (-.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 y #s(literal 1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64))
(*.f64 x (-.f64 y #s(literal 1 binary64)))
(-.f64 y #s(literal 1 binary64))
(*.f64 y #s(literal 1/2 binary64))
Outputs
(+.f64 (fma.f64 x y (neg.f64 x)) (*.f64 y #s(literal -1/2 binary64)))
(+.f64 (*.f64 y #s(literal -1/2 binary64)) (fma.f64 x y (neg.f64 x)))
(+.f64 (/.f64 (*.f64 (fma.f64 x y (neg.f64 x)) (*.f64 x (*.f64 x (*.f64 (+.f64 y #s(literal -1 binary64)) (+.f64 y #s(literal -1 binary64)))))) (fma.f64 x (*.f64 x (*.f64 (+.f64 y #s(literal -1 binary64)) (+.f64 y #s(literal -1 binary64)))) (*.f64 y (*.f64 #s(literal 1/2 binary64) (fma.f64 x (+.f64 y #s(literal -1 binary64)) (*.f64 y #s(literal 1/2 binary64))))))) (neg.f64 (/.f64 (*.f64 y (*.f64 (*.f64 y y) #s(literal 1/8 binary64))) (fma.f64 x (*.f64 x (*.f64 (+.f64 y #s(literal -1 binary64)) (+.f64 y #s(literal -1 binary64)))) (*.f64 y (*.f64 #s(literal 1/2 binary64) (fma.f64 x (+.f64 y #s(literal -1 binary64)) (*.f64 y #s(literal 1/2 binary64)))))))))
(+.f64 (*.f64 (*.f64 x (*.f64 (+.f64 y #s(literal -1 binary64)) (+.f64 y #s(literal -1 binary64)))) (/.f64 x (fma.f64 x (+.f64 y #s(literal -1 binary64)) (*.f64 y #s(literal 1/2 binary64))))) (neg.f64 (/.f64 (*.f64 (*.f64 y y) #s(literal 1/4 binary64)) (fma.f64 x (+.f64 y #s(literal -1 binary64)) (*.f64 y #s(literal 1/2 binary64))))))
(+.f64 (*.f64 x y) (+.f64 (neg.f64 x) (*.f64 y #s(literal -1/2 binary64))))
(+.f64 (*.f64 x y) (-.f64 (neg.f64 x) (*.f64 y #s(literal 1/2 binary64))))
(+.f64 (fma.f64 y #s(literal -1/2 binary64) (*.f64 x y)) (neg.f64 x))
(-.f64 (fma.f64 x y (neg.f64 x)) (*.f64 y #s(literal 1/2 binary64)))
(-.f64 #s(literal 0 binary64) (-.f64 (*.f64 y #s(literal 1/2 binary64)) (fma.f64 x y (neg.f64 x))))
(-.f64 (/.f64 (*.f64 (fma.f64 x y (neg.f64 x)) (*.f64 x (*.f64 x (*.f64 (+.f64 y #s(literal -1 binary64)) (+.f64 y #s(literal -1 binary64)))))) (fma.f64 x (*.f64 x (*.f64 (+.f64 y #s(literal -1 binary64)) (+.f64 y #s(literal -1 binary64)))) (*.f64 y (*.f64 #s(literal 1/2 binary64) (fma.f64 x (+.f64 y #s(literal -1 binary64)) (*.f64 y #s(literal 1/2 binary64))))))) (/.f64 (*.f64 y (*.f64 (*.f64 y y) #s(literal 1/8 binary64))) (fma.f64 x (*.f64 x (*.f64 (+.f64 y #s(literal -1 binary64)) (+.f64 y #s(literal -1 binary64)))) (*.f64 y (*.f64 #s(literal 1/2 binary64) (fma.f64 x (+.f64 y #s(literal -1 binary64)) (*.f64 y #s(literal 1/2 binary64))))))))
(-.f64 (*.f64 (*.f64 x (*.f64 (+.f64 y #s(literal -1 binary64)) (+.f64 y #s(literal -1 binary64)))) (/.f64 x (fma.f64 x (+.f64 y #s(literal -1 binary64)) (*.f64 y #s(literal 1/2 binary64))))) (/.f64 (*.f64 (*.f64 y y) #s(literal 1/4 binary64)) (fma.f64 x (+.f64 y #s(literal -1 binary64)) (*.f64 y #s(literal 1/2 binary64)))))
(-.f64 (fma.f64 x (+.f64 y #s(literal -1 binary64)) #s(literal 0 binary64)) (*.f64 y #s(literal 1/2 binary64)))
(fma.f64 x y (+.f64 (neg.f64 x) (*.f64 y #s(literal -1/2 binary64))))
(fma.f64 x y (-.f64 (neg.f64 x) (*.f64 y #s(literal 1/2 binary64))))
(fma.f64 x (+.f64 y #s(literal -1 binary64)) (*.f64 y #s(literal -1/2 binary64)))
(fma.f64 x (/.f64 (*.f64 x (*.f64 (+.f64 y #s(literal -1 binary64)) (+.f64 y #s(literal -1 binary64)))) (fma.f64 x (+.f64 y #s(literal -1 binary64)) (*.f64 y #s(literal 1/2 binary64)))) (neg.f64 (/.f64 (*.f64 (*.f64 y y) #s(literal 1/4 binary64)) (fma.f64 x (+.f64 y #s(literal -1 binary64)) (*.f64 y #s(literal 1/2 binary64))))))
(fma.f64 y x (+.f64 (neg.f64 x) (*.f64 y #s(literal -1/2 binary64))))
(fma.f64 y x (-.f64 (neg.f64 x) (*.f64 y #s(literal 1/2 binary64))))
(fma.f64 y #s(literal -1/2 binary64) (fma.f64 x y (neg.f64 x)))
(fma.f64 y (*.f64 #s(literal 1 binary64) x) (+.f64 (neg.f64 x) (*.f64 y #s(literal -1/2 binary64))))
(fma.f64 y (*.f64 #s(literal 1 binary64) x) (-.f64 (neg.f64 x) (*.f64 y #s(literal 1/2 binary64))))
(fma.f64 #s(literal 1 binary64) (*.f64 y #s(literal -1/2 binary64)) (fma.f64 x y (neg.f64 x)))
(fma.f64 #s(literal 1 binary64) (*.f64 x y) (+.f64 (neg.f64 x) (*.f64 y #s(literal -1/2 binary64))))
(fma.f64 #s(literal 1 binary64) (*.f64 x y) (-.f64 (neg.f64 x) (*.f64 y #s(literal 1/2 binary64))))
(fma.f64 (+.f64 y #s(literal -1 binary64)) x (*.f64 y #s(literal -1/2 binary64)))
(fma.f64 (+.f64 y #s(literal -1 binary64)) (/.f64 x #s(literal 1 binary64)) (*.f64 y #s(literal -1/2 binary64)))
(fma.f64 (+.f64 y #s(literal -1 binary64)) (/.f64 (*.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 x x)) (fma.f64 x (+.f64 y #s(literal -1 binary64)) (*.f64 y #s(literal 1/2 binary64)))) (neg.f64 (/.f64 (*.f64 (*.f64 y y) #s(literal 1/4 binary64)) (fma.f64 x (+.f64 y #s(literal -1 binary64)) (*.f64 y #s(literal 1/2 binary64))))))
(fma.f64 (fma.f64 x y (neg.f64 x)) (/.f64 (fma.f64 x y (neg.f64 x)) (fma.f64 x (+.f64 y #s(literal -1 binary64)) (*.f64 y #s(literal 1/2 binary64)))) (neg.f64 (/.f64 (*.f64 (*.f64 y y) #s(literal 1/4 binary64)) (fma.f64 x (+.f64 y #s(literal -1 binary64)) (*.f64 y #s(literal 1/2 binary64))))))
(fma.f64 (fma.f64 x y (neg.f64 x)) (/.f64 (*.f64 x (*.f64 x (*.f64 (+.f64 y #s(literal -1 binary64)) (+.f64 y #s(literal -1 binary64))))) (fma.f64 x (*.f64 x (*.f64 (+.f64 y #s(literal -1 binary64)) (+.f64 y #s(literal -1 binary64)))) (*.f64 y (*.f64 #s(literal 1/2 binary64) (fma.f64 x (+.f64 y #s(literal -1 binary64)) (*.f64 y #s(literal 1/2 binary64))))))) (neg.f64 (/.f64 (*.f64 y (*.f64 (*.f64 y y) #s(literal 1/8 binary64))) (fma.f64 x (*.f64 x (*.f64 (+.f64 y #s(literal -1 binary64)) (+.f64 y #s(literal -1 binary64)))) (*.f64 y (*.f64 #s(literal 1/2 binary64) (fma.f64 x (+.f64 y #s(literal -1 binary64)) (*.f64 y #s(literal 1/2 binary64)))))))))
(fma.f64 #s(literal 1/2 binary64) (neg.f64 y) (fma.f64 x y (neg.f64 x)))
(fma.f64 (*.f64 y #s(literal 1/2 binary64)) #s(literal -1 binary64) (fma.f64 x y (neg.f64 x)))
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(/.f64 (*.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))) #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 y (*.f64 (*.f64 y y) (*.f64 y (*.f64 y y))) (fma.f64 y (*.f64 y y) #s(literal 1 binary64))) (+.f64 y (fma.f64 y y #s(literal 1 binary64)))))
(/.f64 (*.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y)) #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 y (*.f64 y y) #s(literal 1 binary64)) (+.f64 y (fma.f64 y y #s(literal 1 binary64)))))
(/.f64 (*.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y)) #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 y (*.f64 y (*.f64 y y)) (fma.f64 y y #s(literal 1 binary64))) (+.f64 y #s(literal 1 binary64))))
(/.f64 (*.f64 (fma.f64 (*.f64 y y) (*.f64 y y) #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 y y #s(literal 1 binary64)) (+.f64 y #s(literal 1 binary64))))
(/.f64 (*.f64 (fma.f64 y (*.f64 y y) #s(literal -1 binary64)) #s(literal 1 binary64)) (+.f64 y (fma.f64 y y #s(literal 1 binary64))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 y (*.f64 y y) #s(literal -1 binary64)))) (neg.f64 (neg.f64 (+.f64 y (fma.f64 y y #s(literal 1 binary64))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 y y #s(literal -1 binary64)))) (neg.f64 (+.f64 #s(literal -1 binary64) (neg.f64 y))))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 y (*.f64 y y)) (+.f64 y (fma.f64 y y #s(literal 1 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 y (fma.f64 y y #s(literal 1 binary64)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 y (*.f64 y y)) (+.f64 y (fma.f64 y y #s(literal 1 binary64)))) (/.f64 (*.f64 y (*.f64 y y)) (+.f64 y (fma.f64 y y #s(literal 1 binary64)))) (fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 y (fma.f64 y y #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 y (fma.f64 y y #s(literal 1 binary64)))) (*.f64 (/.f64 (*.f64 y (*.f64 y y)) (+.f64 y (fma.f64 y y #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 y (fma.f64 y y #s(literal 1 binary64))))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 y y) (+.f64 y #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 y y) (+.f64 y #s(literal 1 binary64))) (/.f64 (*.f64 y y) (+.f64 y #s(literal 1 binary64))) (fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))) (*.f64 (/.f64 (*.f64 y y) (+.f64 y #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64)))))))
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 y (*.f64 y y)) (+.f64 y (fma.f64 y y #s(literal 1 binary64)))) (/.f64 (*.f64 y (*.f64 y y)) (+.f64 y (fma.f64 y y #s(literal 1 binary64))))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 y (fma.f64 y y #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 y (fma.f64 y y #s(literal 1 binary64)))))) (fma.f64 y (/.f64 (*.f64 y y) (+.f64 y (fma.f64 y y #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 y (fma.f64 y y #s(literal 1 binary64))))))
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 y y) (+.f64 y #s(literal 1 binary64))) (/.f64 (*.f64 y y) (+.f64 y #s(literal 1 binary64)))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))))) (fma.f64 y (/.f64 y (+.f64 y #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64)))))
(/.f64 (*.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 y (fma.f64 y y #s(literal 1 binary64))))) (fma.f64 y (*.f64 (*.f64 y y) (*.f64 y (*.f64 y y))) (fma.f64 y (*.f64 y y) #s(literal 1 binary64))))
(/.f64 (*.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 y (fma.f64 y y #s(literal 1 binary64))))) (fma.f64 y (*.f64 y y) #s(literal 1 binary64)))
(/.f64 (*.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64)))) (fma.f64 y (*.f64 y (*.f64 y y)) (fma.f64 y y #s(literal 1 binary64))))
(/.f64 (*.f64 (fma.f64 (*.f64 y y) (*.f64 y y) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64)))) (fma.f64 y y #s(literal 1 binary64)))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64)))
(*.f64 (fma.f64 y (*.f64 y y) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 y (fma.f64 y y #s(literal 1 binary64)))))
(*.f64 (fma.f64 y (*.f64 y y) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 y y #s(literal 1 binary64)) (neg.f64 y))))
(*.f64 (fma.f64 y y #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))))
(*.f64 (+.f64 y #s(literal 1 binary64)) (*.f64 (+.f64 y #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64)))))
(*.f64 (+.f64 y #s(literal 1 binary64)) (/.f64 (+.f64 y #s(literal -1 binary64)) (+.f64 y #s(literal 1 binary64))))
(*.f64 (neg.f64 (fma.f64 y (*.f64 y y) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 y (fma.f64 y y #s(literal 1 binary64))))))
(*.f64 (neg.f64 (fma.f64 y y #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (neg.f64 y))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 y (fma.f64 y y #s(literal 1 binary64)))) (fma.f64 y (*.f64 y y) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))) (fma.f64 y y #s(literal -1 binary64)))
(*.f64 (/.f64 (+.f64 y #s(literal 1 binary64)) (+.f64 y #s(literal 1 binary64))) (+.f64 y #s(literal -1 binary64)))
(*.f64 (/.f64 (fma.f64 y y #s(literal -1 binary64)) (fma.f64 y y #s(literal -1 binary64))) (+.f64 y #s(literal -1 binary64)))
(*.f64 (/.f64 (fma.f64 y (*.f64 y y) #s(literal -1 binary64)) (fma.f64 (+.f64 y #s(literal 1 binary64)) (*.f64 (+.f64 y #s(literal 1 binary64)) (+.f64 y #s(literal 1 binary64))) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))))) (fma.f64 (+.f64 y #s(literal 1 binary64)) (-.f64 (+.f64 y #s(literal 1 binary64)) (*.f64 y y)) (*.f64 (*.f64 y y) (*.f64 y y))))
(*.f64 (/.f64 (fma.f64 y (*.f64 y y) #s(literal -1 binary64)) (*.f64 (+.f64 y (fma.f64 y y #s(literal 1 binary64))) (-.f64 (fma.f64 y y #s(literal -1 binary64)) y))) (-.f64 (fma.f64 y y #s(literal -1 binary64)) y))
(*.f64 (/.f64 (fma.f64 y y #s(literal -1 binary64)) (fma.f64 y (*.f64 y y) #s(literal 1 binary64))) (-.f64 (fma.f64 y y #s(literal 1 binary64)) y))
(*.f64 (/.f64 (fma.f64 y y #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 y y))) (-.f64 #s(literal 1 binary64) y))
(*.f64 y #s(literal 1/2 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 y #s(literal 1/2 binary64)))
(*.f64 #s(literal 1/2 binary64) y)
(*.f64 (*.f64 y #s(literal 1/2 binary64)) #s(literal 1 binary64))

simplify260.0ms (3.3%)

Memory
-11.9MiB live, 482.8MiB allocated
Algorithm
1×egg-herbie
Rules
11 900×lower-fma.f64
11 900×lower-fma.f32
3 162×lower-*.f64
3 162×lower-*.f32
1 298×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
076593
1232592
2695520
31796520
46373520
08167501
Stop Event
1×iter limit
1×node limit
Counts
96 → 94
Calls
Call 1
Inputs
(* -1/2 y)
(- (* x (- y 1)) (* 1/2 y))
(- (* x (- y 1)) (* 1/2 y))
(- (* x (- y 1)) (* 1/2 y))
(* x (- y 1))
(* x (- (+ y (* -1/2 (/ y x))) 1))
(* x (- (+ y (* -1/2 (/ y x))) 1))
(* x (- (+ y (* -1/2 (/ y x))) 1))
(* x (- y 1))
(* -1 (* x (+ (* -1 (- y 1)) (* 1/2 (/ y x)))))
(* -1 (* x (+ (* -1 (- y 1)) (* 1/2 (/ y x)))))
(* -1 (* x (+ (* -1 (- y 1)) (* 1/2 (/ y x)))))
(* -1 x)
(+ (* -1 x) (* y (- x 1/2)))
(+ (* -1 x) (* y (- x 1/2)))
(+ (* -1 x) (* y (- x 1/2)))
(* y (- x 1/2))
(* y (- (+ x (* -1 (/ x y))) 1/2))
(* y (- (+ x (* -1 (/ x y))) 1/2))
(* y (- (+ x (* -1 (/ x y))) 1/2))
(* -1 (* y (+ 1/2 (* -1 x))))
(* -1 (* y (+ 1/2 (+ (* -1 x) (/ x y)))))
(* -1 (* y (+ 1/2 (+ (* -1 x) (/ x y)))))
(* -1 (* y (+ 1/2 (+ (* -1 x) (/ x y)))))
(- 918938533204673/1000000000000000 (* 1/2 y))
(- (+ 918938533204673/1000000000000000 (* x (- y 1))) (* 1/2 y))
(- (+ 918938533204673/1000000000000000 (* x (- y 1))) (* 1/2 y))
(- (+ 918938533204673/1000000000000000 (* x (- y 1))) (* 1/2 y))
(* x (- y 1))
(* x (- (+ y (* 918938533204673/1000000000000000 (/ 1 x))) (+ 1 (* 1/2 (/ y x)))))
(* x (- (+ y (* 918938533204673/1000000000000000 (/ 1 x))) (+ 1 (* 1/2 (/ y x)))))
(* x (- (+ y (* 918938533204673/1000000000000000 (/ 1 x))) (+ 1 (* 1/2 (/ y x)))))
(* x (- y 1))
(* -1 (* x (+ (* -1 (- y 1)) (* -1 (/ (- 918938533204673/1000000000000000 (* 1/2 y)) x)))))
(* -1 (* x (+ (* -1 (- y 1)) (* -1 (/ (- 918938533204673/1000000000000000 (* 1/2 y)) x)))))
(* -1 (* x (+ (* -1 (- y 1)) (* -1 (/ (- 918938533204673/1000000000000000 (* 1/2 y)) x)))))
(+ 918938533204673/1000000000000000 (* -1 x))
(+ 918938533204673/1000000000000000 (+ (* -1 x) (* y (- x 1/2))))
(+ 918938533204673/1000000000000000 (+ (* -1 x) (* y (- x 1/2))))
(+ 918938533204673/1000000000000000 (+ (* -1 x) (* y (- x 1/2))))
(* y (- x 1/2))
(* y (- (+ x (+ (* -1 (/ x y)) (* 918938533204673/1000000000000000 (/ 1 y)))) 1/2))
(* y (- (+ x (+ (* -1 (/ x y)) (* 918938533204673/1000000000000000 (/ 1 y)))) 1/2))
(* y (- (+ x (+ (* -1 (/ x y)) (* 918938533204673/1000000000000000 (/ 1 y)))) 1/2))
(* -1 (* y (+ 1/2 (* -1 x))))
(* -1 (* y (+ 1/2 (+ (* -1 x) (* -1 (/ (+ 918938533204673/1000000000000000 (* -1 x)) y))))))
(* -1 (* y (+ 1/2 (+ (* -1 x) (* -1 (/ (+ 918938533204673/1000000000000000 (* -1 x)) y))))))
(* -1 (* y (+ 1/2 (+ (* -1 x) (* -1 (/ (+ 918938533204673/1000000000000000 (* -1 x)) y))))))
(* x (- y 1))
(* x (- y 1))
(* x (- y 1))
(* x (- y 1))
(* x (- y 1))
(* x (- y 1))
(* x (- y 1))
(* x (- y 1))
(* x (- y 1))
(* x (- y 1))
(* x (- y 1))
(* x (- y 1))
(* -1 x)
(+ (* -1 x) (* x y))
(+ (* -1 x) (* x y))
(+ (* -1 x) (* x y))
(* x y)
(* y (+ x (* -1 (/ x y))))
(* y (+ x (* -1 (/ x y))))
(* y (+ x (* -1 (/ x y))))
(* x y)
(* -1 (* y (+ (* -1 x) (/ x y))))
(* -1 (* y (+ (* -1 x) (/ x y))))
(* -1 (* y (+ (* -1 x) (/ x y))))
-1
(- y 1)
(- y 1)
(- y 1)
y
(* y (- 1 (/ 1 y)))
(* y (- 1 (/ 1 y)))
(* y (- 1 (/ 1 y)))
y
(* -1 (* y (- (/ 1 y) 1)))
(* -1 (* y (- (/ 1 y) 1)))
(* -1 (* y (- (/ 1 y) 1)))
(* 1/2 y)
(* 1/2 y)
(* 1/2 y)
(* 1/2 y)
(* 1/2 y)
(* 1/2 y)
(* 1/2 y)
(* 1/2 y)
(* 1/2 y)
(* 1/2 y)
(* 1/2 y)
(* 1/2 y)
Outputs
(* -1/2 y)
(*.f64 #s(literal -1/2 binary64) y)
(- (* x (- y 1)) (* 1/2 y))
(fma.f64 y (+.f64 #s(literal -1/2 binary64) x) (neg.f64 x))
(- (* x (- y 1)) (* 1/2 y))
(fma.f64 y (+.f64 #s(literal -1/2 binary64) x) (neg.f64 x))
(- (* x (- y 1)) (* 1/2 y))
(fma.f64 y (+.f64 #s(literal -1/2 binary64) x) (neg.f64 x))
(* x (- y 1))
(-.f64 (*.f64 y x) x)
(* x (- (+ y (* -1/2 (/ y x))) 1))
(fma.f64 y (+.f64 #s(literal -1/2 binary64) x) (neg.f64 x))
(* x (- (+ y (* -1/2 (/ y x))) 1))
(fma.f64 y (+.f64 #s(literal -1/2 binary64) x) (neg.f64 x))
(* x (- (+ y (* -1/2 (/ y x))) 1))
(fma.f64 y (+.f64 #s(literal -1/2 binary64) x) (neg.f64 x))
(* x (- y 1))
(-.f64 (*.f64 y x) x)
(* -1 (* x (+ (* -1 (- y 1)) (* 1/2 (/ y x)))))
(fma.f64 y (+.f64 #s(literal -1/2 binary64) x) (neg.f64 x))
(* -1 (* x (+ (* -1 (- y 1)) (* 1/2 (/ y x)))))
(fma.f64 y (+.f64 #s(literal -1/2 binary64) x) (neg.f64 x))
(* -1 (* x (+ (* -1 (- y 1)) (* 1/2 (/ y x)))))
(fma.f64 y (+.f64 #s(literal -1/2 binary64) x) (neg.f64 x))
(* -1 x)
(neg.f64 x)
(+ (* -1 x) (* y (- x 1/2)))
(fma.f64 y (+.f64 #s(literal -1/2 binary64) x) (neg.f64 x))
(+ (* -1 x) (* y (- x 1/2)))
(fma.f64 y (+.f64 #s(literal -1/2 binary64) x) (neg.f64 x))
(+ (* -1 x) (* y (- x 1/2)))
(fma.f64 y (+.f64 #s(literal -1/2 binary64) x) (neg.f64 x))
(* y (- x 1/2))
(*.f64 y (+.f64 #s(literal -1/2 binary64) x))
(* y (- (+ x (* -1 (/ x y))) 1/2))
(fma.f64 y (+.f64 #s(literal -1/2 binary64) x) (neg.f64 x))
(* y (- (+ x (* -1 (/ x y))) 1/2))
(fma.f64 y (+.f64 #s(literal -1/2 binary64) x) (neg.f64 x))
(* y (- (+ x (* -1 (/ x y))) 1/2))
(fma.f64 y (+.f64 #s(literal -1/2 binary64) x) (neg.f64 x))
(* -1 (* y (+ 1/2 (* -1 x))))
(*.f64 y (+.f64 #s(literal -1/2 binary64) x))
(* -1 (* y (+ 1/2 (+ (* -1 x) (/ x y)))))
(fma.f64 y (+.f64 #s(literal -1/2 binary64) x) (neg.f64 x))
(* -1 (* y (+ 1/2 (+ (* -1 x) (/ x y)))))
(fma.f64 y (+.f64 #s(literal -1/2 binary64) x) (neg.f64 x))
(* -1 (* y (+ 1/2 (+ (* -1 x) (/ x y)))))
(fma.f64 y (+.f64 #s(literal -1/2 binary64) x) (neg.f64 x))
(- 918938533204673/1000000000000000 (* 1/2 y))
(fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64))
(- (+ 918938533204673/1000000000000000 (* x (- y 1))) (* 1/2 y))
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x))
(- (+ 918938533204673/1000000000000000 (* x (- y 1))) (* 1/2 y))
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x))
(- (+ 918938533204673/1000000000000000 (* x (- y 1))) (* 1/2 y))
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x))
(* x (- y 1))
(-.f64 (*.f64 y x) x)
(* x (- (+ y (* 918938533204673/1000000000000000 (/ 1 x))) (+ 1 (* 1/2 (/ y x)))))
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x))
(* x (- (+ y (* 918938533204673/1000000000000000 (/ 1 x))) (+ 1 (* 1/2 (/ y x)))))
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x))
(* x (- (+ y (* 918938533204673/1000000000000000 (/ 1 x))) (+ 1 (* 1/2 (/ y x)))))
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x))
(* x (- y 1))
(-.f64 (*.f64 y x) x)
(* -1 (* x (+ (* -1 (- y 1)) (* -1 (/ (- 918938533204673/1000000000000000 (* 1/2 y)) x)))))
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x))
(* -1 (* x (+ (* -1 (- y 1)) (* -1 (/ (- 918938533204673/1000000000000000 (* 1/2 y)) x)))))
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x))
(* -1 (* x (+ (* -1 (- y 1)) (* -1 (/ (- 918938533204673/1000000000000000 (* 1/2 y)) x)))))
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x))
(+ 918938533204673/1000000000000000 (* -1 x))
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)
(+ 918938533204673/1000000000000000 (+ (* -1 x) (* y (- x 1/2))))
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x))
(+ 918938533204673/1000000000000000 (+ (* -1 x) (* y (- x 1/2))))
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x))
(+ 918938533204673/1000000000000000 (+ (* -1 x) (* y (- x 1/2))))
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x))
(* y (- x 1/2))
(*.f64 y (+.f64 #s(literal -1/2 binary64) x))
(* y (- (+ x (+ (* -1 (/ x y)) (* 918938533204673/1000000000000000 (/ 1 y)))) 1/2))
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x))
(* y (- (+ x (+ (* -1 (/ x y)) (* 918938533204673/1000000000000000 (/ 1 y)))) 1/2))
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x))
(* y (- (+ x (+ (* -1 (/ x y)) (* 918938533204673/1000000000000000 (/ 1 y)))) 1/2))
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x))
(* -1 (* y (+ 1/2 (* -1 x))))
(*.f64 y (+.f64 #s(literal -1/2 binary64) x))
(* -1 (* y (+ 1/2 (+ (* -1 x) (* -1 (/ (+ 918938533204673/1000000000000000 (* -1 x)) y))))))
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x))
(* -1 (* y (+ 1/2 (+ (* -1 x) (* -1 (/ (+ 918938533204673/1000000000000000 (* -1 x)) y))))))
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x))
(* -1 (* y (+ 1/2 (+ (* -1 x) (* -1 (/ (+ 918938533204673/1000000000000000 (* -1 x)) y))))))
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x))
(* x (- y 1))
(-.f64 (*.f64 y x) x)
(* x (- y 1))
(-.f64 (*.f64 y x) x)
(* x (- y 1))
(-.f64 (*.f64 y x) x)
(* x (- y 1))
(-.f64 (*.f64 y x) x)
(* x (- y 1))
(-.f64 (*.f64 y x) x)
(* x (- y 1))
(-.f64 (*.f64 y x) x)
(* x (- y 1))
(-.f64 (*.f64 y x) x)
(* x (- y 1))
(-.f64 (*.f64 y x) x)
(* x (- y 1))
(-.f64 (*.f64 y x) x)
(* x (- y 1))
(-.f64 (*.f64 y x) x)
(* x (- y 1))
(-.f64 (*.f64 y x) x)
(* x (- y 1))
(-.f64 (*.f64 y x) x)
(* -1 x)
(neg.f64 x)
(+ (* -1 x) (* x y))
(-.f64 (*.f64 y x) x)
(+ (* -1 x) (* x y))
(-.f64 (*.f64 y x) x)
(+ (* -1 x) (* x y))
(-.f64 (*.f64 y x) x)
(* x y)
(*.f64 y x)
(* y (+ x (* -1 (/ x y))))
(-.f64 (*.f64 y x) x)
(* y (+ x (* -1 (/ x y))))
(-.f64 (*.f64 y x) x)
(* y (+ x (* -1 (/ x y))))
(-.f64 (*.f64 y x) x)
(* x y)
(*.f64 y x)
(* -1 (* y (+ (* -1 x) (/ x y))))
(-.f64 (*.f64 y x) x)
(* -1 (* y (+ (* -1 x) (/ x y))))
(-.f64 (*.f64 y x) x)
(* -1 (* y (+ (* -1 x) (/ x y))))
(-.f64 (*.f64 y x) x)
-1
#s(literal -1 binary64)
(- y 1)
(+.f64 y #s(literal -1 binary64))
(- y 1)
(+.f64 y #s(literal -1 binary64))
(- y 1)
(+.f64 y #s(literal -1 binary64))
y
(* y (- 1 (/ 1 y)))
(+.f64 y #s(literal -1 binary64))
(* y (- 1 (/ 1 y)))
(+.f64 y #s(literal -1 binary64))
(* y (- 1 (/ 1 y)))
(+.f64 y #s(literal -1 binary64))
y
(* -1 (* y (- (/ 1 y) 1)))
(+.f64 y #s(literal -1 binary64))
(* -1 (* y (- (/ 1 y) 1)))
(+.f64 y #s(literal -1 binary64))
(* -1 (* y (- (/ 1 y) 1)))
(+.f64 y #s(literal -1 binary64))
(* 1/2 y)
(*.f64 y #s(literal 1/2 binary64))
(* 1/2 y)
(*.f64 y #s(literal 1/2 binary64))
(* 1/2 y)
(*.f64 y #s(literal 1/2 binary64))
(* 1/2 y)
(*.f64 y #s(literal 1/2 binary64))
(* 1/2 y)
(*.f64 y #s(literal 1/2 binary64))
(* 1/2 y)
(*.f64 y #s(literal 1/2 binary64))
(* 1/2 y)
(*.f64 y #s(literal 1/2 binary64))
(* 1/2 y)
(*.f64 y #s(literal 1/2 binary64))
(* 1/2 y)
(*.f64 y #s(literal 1/2 binary64))
(* 1/2 y)
(*.f64 y #s(literal 1/2 binary64))
(* 1/2 y)
(*.f64 y #s(literal 1/2 binary64))
(* 1/2 y)
(*.f64 y #s(literal 1/2 binary64))

eval59.0ms (0.7%)

Memory
17.6MiB live, 132.8MiB allocated
Compiler

Compiled 15 508 to 1 357 computations (91.2% saved)

prune58.0ms (0.7%)

Memory
8.7MiB live, 129.5MiB allocated
Pruning

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New4717478
Fresh000
Picked101
Done000
Total4727479
Accuracy
100.0%
Counts
479 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(fma.f64 (+.f64 y #s(literal -1 binary64)) x (fma.f64 y #s(literal -1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64)))
▶51.1%
(fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64))
▶49.9%
(-.f64 (*.f64 y x) x)
▶100.0%
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x))
▶51.1%
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)
73.1%
(+.f64 (-.f64 (*.f64 y x) x) #s(literal 918938533204673/1000000000000000 binary64))
▶49.9%
(*.f64 y (+.f64 #s(literal -1/2 binary64) x))
Compiler

Compiled 110 to 78 computations (29.1% saved)

simplify65.0ms (0.8%)

Memory
-5.7MiB live, 71.0MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 9 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(*.f64 y x)
✓cost-diff0
(-.f64 (*.f64 y x) x)
✓cost-diff0
(+.f64 #s(literal -1/2 binary64) x)
✓cost-diff0
(*.f64 y (+.f64 #s(literal -1/2 binary64) x))
✓cost-diff0
(fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64))
✓cost-diff0
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)
✓cost-diff0
(-.f64 #s(literal 1/2 binary64) x)
✓cost-diff0
(fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x)
✓cost-diff0
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x))
Rules
1 376×lower-fma.f32
1 372×lower-fma.f64
352×lower-+.f32
352×lower--.f32
350×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01454
02554
14354
27254
316654
441354
593754
6136854
7159654
8165454
9166154
0166154
Stop Event
1×iter limit
1×saturated
1×iter limit
Calls
Call 1
Inputs
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x))
#s(literal 918938533204673/1000000000000000 binary64)
(fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x)
y
(-.f64 #s(literal 1/2 binary64) x)
#s(literal 1/2 binary64)
x
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)
#s(literal 918938533204673/1000000000000000 binary64)
x
(fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64))
#s(literal -1/2 binary64)
y
#s(literal 918938533204673/1000000000000000 binary64)
(*.f64 y (+.f64 #s(literal -1/2 binary64) x))
y
(+.f64 #s(literal -1/2 binary64) x)
#s(literal -1/2 binary64)
x
(-.f64 (*.f64 y x) x)
(*.f64 y x)
y
x
Outputs
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x))
#s(literal 918938533204673/1000000000000000 binary64)
(fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x)
y
(-.f64 #s(literal 1/2 binary64) x)
#s(literal 1/2 binary64)
x
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)
#s(literal 918938533204673/1000000000000000 binary64)
x
(fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64))
(fma.f64 y #s(literal -1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64))
#s(literal -1/2 binary64)
y
#s(literal 918938533204673/1000000000000000 binary64)
(*.f64 y (+.f64 #s(literal -1/2 binary64) x))
(*.f64 y (+.f64 x #s(literal -1/2 binary64)))
y
(+.f64 #s(literal -1/2 binary64) x)
(+.f64 x #s(literal -1/2 binary64))
#s(literal -1/2 binary64)
x
(-.f64 (*.f64 y x) x)
(*.f64 y x)
y
x

localize59.0ms (0.8%)

Memory
-24.5MiB live, 101.5MiB allocated
Localize:

Found 9 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(*.f64 y x)
✓accuracy100.0%
(-.f64 (*.f64 y x) x)
✓accuracy100.0%
(+.f64 #s(literal -1/2 binary64) x)
✓accuracy100.0%
(*.f64 y (+.f64 #s(literal -1/2 binary64) x))
✓accuracy100.0%
(fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64))
✓accuracy100.0%
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)
✓accuracy100.0%
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x))
✓accuracy100.0%
(-.f64 #s(literal 1/2 binary64) x)
✓accuracy100.0%
(fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x)
Samples
39.0ms255×0valid
0.0ms1×1valid
Compiler

Compiled 59 to 18 computations (69.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 26.0ms
const: 10.0ms (38% of total)
ival-mult: 8.0ms (30.4% of total)
ival-sub: 5.0ms (19% of total)
ival-add: 3.0ms (11.4% 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)

series9.0ms (0.1%)

Memory
15.0MiB live, 15.0MiB allocated
Counts
9 → 168
Calls
Call 1
Inputs
#<alt (-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x))>
#<alt (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x)>
#<alt (-.f64 #s(literal 1/2 binary64) x)>
#<alt (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)>
#<alt (fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64))>
#<alt (*.f64 y (+.f64 #s(literal -1/2 binary64) x))>
#<alt (+.f64 #s(literal -1/2 binary64) x)>
#<alt (-.f64 (*.f64 y x) x)>
#<alt (*.f64 y x)>
Outputs
#<alt (- 918938533204673/1000000000000000 x)>
#<alt (- (+ 918938533204673/1000000000000000 (* y (- x 1/2))) x)>
#<alt (- (+ 918938533204673/1000000000000000 (* y (- x 1/2))) x)>
#<alt (- (+ 918938533204673/1000000000000000 (* y (- x 1/2))) x)>
#<alt (* y (- x 1/2))>
#<alt (* y (- (+ x (* 918938533204673/1000000000000000 (/ 1 y))) (+ 1/2 (/ x y))))>
#<alt (* y (- (+ x (* 918938533204673/1000000000000000 (/ 1 y))) (+ 1/2 (/ x y))))>
#<alt (* y (- (+ x (* 918938533204673/1000000000000000 (/ 1 y))) (+ 1/2 (/ x y))))>
#<alt (* -1 (* y (- 1/2 x)))>
#<alt (* -1 (* y (- (* -1 (/ (- 918938533204673/1000000000000000 x) y)) (* -1 (- 1/2 x)))))>
#<alt (* -1 (* y (- (* -1 (/ (- 918938533204673/1000000000000000 x) y)) (* -1 (- 1/2 x)))))>
#<alt (* -1 (* y (- (* -1 (/ (- 918938533204673/1000000000000000 x) y)) (* -1 (- 1/2 x)))))>
#<alt (- 918938533204673/1000000000000000 (* 1/2 y))>
#<alt (- (+ 918938533204673/1000000000000000 (* -1 (* x (+ 1 (* -1 y))))) (* 1/2 y))>
#<alt (- (+ 918938533204673/1000000000000000 (* -1 (* x (+ 1 (* -1 y))))) (* 1/2 y))>
#<alt (- (+ 918938533204673/1000000000000000 (* -1 (* x (+ 1 (* -1 y))))) (* 1/2 y))>
#<alt (* -1 (* x (+ 1 (* -1 y))))>
#<alt (* x (- (* 918938533204673/1000000000000000 (/ 1 x)) (+ 1 (+ (* -1 y) (* 1/2 (/ y x))))))>
#<alt (* x (- (* 918938533204673/1000000000000000 (/ 1 x)) (+ 1 (+ (* -1 y) (* 1/2 (/ y x))))))>
#<alt (* x (- (* 918938533204673/1000000000000000 (/ 1 x)) (+ 1 (+ (* -1 y) (* 1/2 (/ y x))))))>
#<alt (* -1 (* x (- 1 y)))>
#<alt (* -1 (* x (- (+ 1 (* -1 (/ (- 918938533204673/1000000000000000 (* 1/2 y)) x))) y)))>
#<alt (* -1 (* x (- (+ 1 (* -1 (/ (- 918938533204673/1000000000000000 (* 1/2 y)) x))) y)))>
#<alt (* -1 (* x (- (+ 1 (* -1 (/ (- 918938533204673/1000000000000000 (* 1/2 y)) x))) y)))>
#<alt x>
#<alt (+ x (* y (- 1/2 x)))>
#<alt (+ x (* y (- 1/2 x)))>
#<alt (+ x (* y (- 1/2 x)))>
#<alt (* y (- 1/2 x))>
#<alt (* y (- (+ 1/2 (/ x y)) x))>
#<alt (* y (- (+ 1/2 (/ x y)) x))>
#<alt (* y (- (+ 1/2 (/ x y)) x))>
#<alt (* y (- 1/2 x))>
#<alt (* -1 (* y (+ (* -1 (- 1/2 x)) (* -1 (/ x y)))))>
#<alt (* -1 (* y (+ (* -1 (- 1/2 x)) (* -1 (/ x y)))))>
#<alt (* -1 (* y (+ (* -1 (- 1/2 x)) (* -1 (/ x y)))))>
#<alt (* 1/2 y)>
#<alt (+ (* 1/2 y) (* x (+ 1 (* -1 y))))>
#<alt (+ (* 1/2 y) (* x (+ 1 (* -1 y))))>
#<alt (+ (* 1/2 y) (* x (+ 1 (* -1 y))))>
#<alt (* x (+ 1 (* -1 y)))>
#<alt (* x (+ 1 (+ (* -1 y) (* 1/2 (/ y x)))))>
#<alt (* x (+ 1 (+ (* -1 y) (* 1/2 (/ y x)))))>
#<alt (* x (+ 1 (+ (* -1 y) (* 1/2 (/ y x)))))>
#<alt (* -1 (* x (- y 1)))>
#<alt (* -1 (* x (- (+ y (* -1/2 (/ y x))) 1)))>
#<alt (* -1 (* x (- (+ y (* -1/2 (/ y x))) 1)))>
#<alt (* -1 (* x (- (+ y (* -1/2 (/ y x))) 1)))>
#<alt 1/2>
#<alt (+ 1/2 (* -1 x))>
#<alt (+ 1/2 (* -1 x))>
#<alt (+ 1/2 (* -1 x))>
#<alt (* -1 x)>
#<alt (* x (- (* 1/2 (/ 1 x)) 1))>
#<alt (* x (- (* 1/2 (/ 1 x)) 1))>
#<alt (* x (- (* 1/2 (/ 1 x)) 1))>
#<alt (* -1 x)>
#<alt (* -1 (* x (- 1 (* 1/2 (/ 1 x)))))>
#<alt (* -1 (* x (- 1 (* 1/2 (/ 1 x)))))>
#<alt (* -1 (* x (- 1 (* 1/2 (/ 1 x)))))>
#<alt 918938533204673/1000000000000000>
#<alt (+ 918938533204673/1000000000000000 (* -1 x))>
#<alt (+ 918938533204673/1000000000000000 (* -1 x))>
#<alt (+ 918938533204673/1000000000000000 (* -1 x))>
#<alt (* -1 x)>
#<alt (* x (- (* 918938533204673/1000000000000000 (/ 1 x)) 1))>
#<alt (* x (- (* 918938533204673/1000000000000000 (/ 1 x)) 1))>
#<alt (* x (- (* 918938533204673/1000000000000000 (/ 1 x)) 1))>
#<alt (* -1 x)>
#<alt (* -1 (* x (- 1 (* 918938533204673/1000000000000000 (/ 1 x)))))>
#<alt (* -1 (* x (- 1 (* 918938533204673/1000000000000000 (/ 1 x)))))>
#<alt (* -1 (* x (- 1 (* 918938533204673/1000000000000000 (/ 1 x)))))>
#<alt 918938533204673/1000000000000000>
#<alt (+ 918938533204673/1000000000000000 (* -1/2 y))>
#<alt (+ 918938533204673/1000000000000000 (* -1/2 y))>
#<alt (+ 918938533204673/1000000000000000 (* -1/2 y))>
#<alt (* -1/2 y)>
#<alt (* y (- (* 918938533204673/1000000000000000 (/ 1 y)) 1/2))>
#<alt (* y (- (* 918938533204673/1000000000000000 (/ 1 y)) 1/2))>
#<alt (* y (- (* 918938533204673/1000000000000000 (/ 1 y)) 1/2))>
#<alt (* -1/2 y)>
#<alt (* -1 (* y (- 1/2 (* 918938533204673/1000000000000000 (/ 1 y)))))>
#<alt (* -1 (* y (- 1/2 (* 918938533204673/1000000000000000 (/ 1 y)))))>
#<alt (* -1 (* y (- 1/2 (* 918938533204673/1000000000000000 (/ 1 y)))))>
#<alt (* y (- x 1/2))>
#<alt (* y (- x 1/2))>
#<alt (* y (- x 1/2))>
#<alt (* y (- x 1/2))>
#<alt (* y (- x 1/2))>
#<alt (* y (- x 1/2))>
#<alt (* y (- x 1/2))>
#<alt (* y (- x 1/2))>
#<alt (* y (- x 1/2))>
#<alt (* y (- x 1/2))>
#<alt (* y (- x 1/2))>
#<alt (* y (- x 1/2))>
#<alt (* -1/2 y)>
#<alt (+ (* -1/2 y) (* x y))>
#<alt (+ (* -1/2 y) (* x y))>
#<alt (+ (* -1/2 y) (* x y))>
#<alt (* x y)>
#<alt (* x (+ y (* -1/2 (/ y x))))>
#<alt (* x (+ y (* -1/2 (/ y x))))>
#<alt (* x (+ y (* -1/2 (/ y x))))>
#<alt (* x y)>
#<alt (* -1 (* x (+ (* -1 y) (* 1/2 (/ y x)))))>
#<alt (* -1 (* x (+ (* -1 y) (* 1/2 (/ y x)))))>
#<alt (* -1 (* x (+ (* -1 y) (* 1/2 (/ y x)))))>
#<alt -1/2>
#<alt (- x 1/2)>
#<alt (- x 1/2)>
#<alt (- x 1/2)>
#<alt x>
#<alt (* x (- 1 (* 1/2 (/ 1 x))))>
#<alt (* x (- 1 (* 1/2 (/ 1 x))))>
#<alt (* x (- 1 (* 1/2 (/ 1 x))))>
#<alt x>
#<alt (* -1 (* x (- (* 1/2 (/ 1 x)) 1)))>
#<alt (* -1 (* x (- (* 1/2 (/ 1 x)) 1)))>
#<alt (* -1 (* x (- (* 1/2 (/ 1 x)) 1)))>
#<alt (* -1 x)>
#<alt (- (* x y) x)>
#<alt (- (* x y) x)>
#<alt (- (* x y) x)>
#<alt (* x y)>
#<alt (* y (+ x (* -1 (/ x y))))>
#<alt (* y (+ x (* -1 (/ x y))))>
#<alt (* y (+ x (* -1 (/ x y))))>
#<alt (* x y)>
#<alt (* -1 (* y (+ (* -1 x) (/ x y))))>
#<alt (* -1 (* y (+ (* -1 x) (/ x y))))>
#<alt (* -1 (* y (+ (* -1 x) (/ x y))))>
#<alt (* x (- y 1))>
#<alt (* x (- y 1))>
#<alt (* x (- y 1))>
#<alt (* x (- y 1))>
#<alt (* x (- y 1))>
#<alt (* x (- y 1))>
#<alt (* x (- y 1))>
#<alt (* x (- y 1))>
#<alt (* -1 (* x (+ 1 (* -1 y))))>
#<alt (* -1 (* x (+ 1 (* -1 y))))>
#<alt (* -1 (* x (+ 1 (* -1 y))))>
#<alt (* -1 (* x (+ 1 (* -1 y))))>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
Calls

42 calls:

TimeVariablePointExpression
1.0ms
x
@0
(* y (+ -1/2 x))
0.0ms
y
@-inf
(- 918938533204673/1000000000000000 (+ (* y (- 1/2 x)) x))
0.0ms
y
@0
(- 918938533204673/1000000000000000 (+ (* y (- 1/2 x)) x))
0.0ms
y
@0
(* y (+ -1/2 x))
0.0ms
y
@inf
(* y (+ -1/2 x))

rewrite312.0ms (4%)

Memory
-0.9MiB live, 634.1MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
4 510×lower-/.f64
4 510×lower-/.f32
4 348×lower-*.f32
4 344×lower-*.f64
4 270×lower-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01440
02540
112040
291840
0844340
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
9 → 419
Calls
Call 1
Inputs
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x))
(fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x)
(-.f64 #s(literal 1/2 binary64) x)
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)
(fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64))
(*.f64 y (+.f64 #s(literal -1/2 binary64) x))
(+.f64 #s(literal -1/2 binary64) x)
(-.f64 (*.f64 y x) x)
(*.f64 y x)
Outputs
(+.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y (+.f64 x #s(literal -1/2 binary64)) (neg.f64 x)))
(+.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) (*.f64 y (+.f64 x #s(literal -1/2 binary64))))
(+.f64 (fma.f64 y (+.f64 x #s(literal -1/2 binary64)) (neg.f64 x)) #s(literal 918938533204673/1000000000000000 binary64))
(+.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 y (-.f64 #s(literal 1/2 binary64) x))) (neg.f64 x))
(+.f64 (/.f64 #s(literal 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 binary64) (fma.f64 (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x) (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x)) #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64))) (neg.f64 (/.f64 (*.f64 (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x) (*.f64 (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x))) (fma.f64 (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x) (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x)) #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64)))))
(+.f64 (/.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x))) (neg.f64 (/.f64 (*.f64 (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x)) (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x)))))
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x))
(-.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) (*.f64 y (-.f64 #s(literal 1/2 binary64) x)))
(-.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 y (-.f64 #s(literal 1/2 binary64) x))) x)
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(fma.f64 (/.f64 x (+.f64 y #s(literal 1 binary64))) (/.f64 (*.f64 y (*.f64 y x)) x) (neg.f64 (/.f64 (*.f64 x x) (fma.f64 y x x))))
(fma.f64 (/.f64 (*.f64 y x) (+.f64 y #s(literal 1 binary64))) (/.f64 (*.f64 y x) x) (neg.f64 (/.f64 (*.f64 x x) (fma.f64 y x x))))
(fma.f64 (/.f64 (*.f64 x x) (+.f64 y #s(literal 1 binary64))) (/.f64 (*.f64 y y) x) (neg.f64 (/.f64 (*.f64 x x) (fma.f64 y x x))))
(fma.f64 (/.f64 (*.f64 y (*.f64 x x)) (+.f64 y #s(literal 1 binary64))) (/.f64 y x) (neg.f64 (/.f64 (*.f64 x x) (fma.f64 y x x))))
(fma.f64 (/.f64 (*.f64 y y) (+.f64 y #s(literal 1 binary64))) (/.f64 (*.f64 x x) x) (neg.f64 (/.f64 (*.f64 x x) (fma.f64 y x x))))
(fma.f64 (/.f64 (*.f64 (*.f64 y x) y) (+.f64 y #s(literal 1 binary64))) (/.f64 x x) (neg.f64 (/.f64 (*.f64 x x) (fma.f64 y x x))))
(neg.f64 (/.f64 (-.f64 (*.f64 (*.f64 y x) (*.f64 y (*.f64 y (*.f64 x x)))) (*.f64 x (*.f64 x x))) (neg.f64 (fma.f64 y (*.f64 y (*.f64 x x)) (*.f64 x (fma.f64 y x x))))))
(neg.f64 (/.f64 (*.f64 (-.f64 (*.f64 y x) x) (fma.f64 y x x)) (neg.f64 (fma.f64 y x x))))
(neg.f64 (/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 y x) (*.f64 y (*.f64 y (*.f64 x x)))) (*.f64 x (*.f64 x x)))) (fma.f64 y (*.f64 y (*.f64 x x)) (*.f64 x (fma.f64 y x x)))))
(neg.f64 (/.f64 (*.f64 (fma.f64 y x x) (neg.f64 (-.f64 (*.f64 y x) x))) (fma.f64 y x x)))
(/.f64 (-.f64 (*.f64 (*.f64 y x) (*.f64 y (*.f64 y (*.f64 x x)))) (*.f64 x (*.f64 x x))) (fma.f64 y (*.f64 y (*.f64 x x)) (*.f64 x (fma.f64 y x x))))
(/.f64 (-.f64 (*.f64 (*.f64 y x) (*.f64 y (*.f64 y (*.f64 x x)))) (*.f64 x (*.f64 x x))) (fma.f64 y (*.f64 y (*.f64 x x)) (-.f64 (*.f64 x x) (neg.f64 (*.f64 y (*.f64 x x))))))
(/.f64 (*.f64 (-.f64 (*.f64 y x) x) (fma.f64 y x x)) (fma.f64 y x x))
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 y x) (*.f64 y (*.f64 y (*.f64 x x)))) (*.f64 x (*.f64 x x)))) (neg.f64 (fma.f64 y (*.f64 y (*.f64 x x)) (*.f64 x (fma.f64 y x x)))))
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 y x) (*.f64 y (*.f64 y (*.f64 x x)))) (*.f64 x (*.f64 x x)))) (neg.f64 (fma.f64 y (*.f64 y (*.f64 x x)) (-.f64 (*.f64 x x) (neg.f64 (*.f64 y (*.f64 x x)))))))
(/.f64 (*.f64 (fma.f64 y x x) (neg.f64 (-.f64 (*.f64 y x) x))) (neg.f64 (fma.f64 y x x)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 y x) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y (*.f64 y (*.f64 x x)) (-.f64 (*.f64 x x) (neg.f64 (*.f64 y (*.f64 x x))))) (-.f64 (*.f64 (*.f64 y x) (*.f64 y (*.f64 y (*.f64 x x)))) (*.f64 x (*.f64 x x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 y x) x)) #s(literal 1 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 y x) x))))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 y x) (*.f64 y (*.f64 y (*.f64 x x)))) (fma.f64 y (*.f64 y (*.f64 x x)) (*.f64 x (fma.f64 y x x)))) (*.f64 (fma.f64 y (*.f64 y (*.f64 x x)) (*.f64 x (fma.f64 y x x))) (*.f64 x (*.f64 x x)))) (*.f64 (fma.f64 y (*.f64 y (*.f64 x x)) (*.f64 x (fma.f64 y x x))) (fma.f64 y (*.f64 y (*.f64 x x)) (*.f64 x (fma.f64 y x x)))))
(/.f64 (-.f64 (*.f64 (*.f64 y (*.f64 y (*.f64 x x))) (fma.f64 y x x)) (*.f64 (fma.f64 y x x) (*.f64 x x))) (*.f64 (fma.f64 y x x) (fma.f64 y x x)))
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 (*.f64 y x) (*.f64 y (*.f64 y (*.f64 x x)))) (*.f64 (*.f64 (*.f64 y x) (*.f64 y (*.f64 y (*.f64 x x)))) (*.f64 (*.f64 y x) (*.f64 y (*.f64 y (*.f64 x x)))))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 (*.f64 y x) (*.f64 y (*.f64 y (*.f64 x x)))) (*.f64 (*.f64 y x) (*.f64 y (*.f64 y (*.f64 x x)))) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 y x) (*.f64 y (*.f64 y (*.f64 x x))))))) (fma.f64 y (*.f64 y (*.f64 x x)) (*.f64 x (fma.f64 y x x)))))
(/.f64 (*.f64 (*.f64 (fma.f64 (*.f64 y x) (*.f64 y (*.f64 y (*.f64 x x))) (*.f64 x (*.f64 x x))) (-.f64 (*.f64 (*.f64 y x) (*.f64 y (*.f64 y (*.f64 x x)))) (*.f64 x (*.f64 x x)))) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 y x) (*.f64 y (*.f64 y (*.f64 x x))) (*.f64 x (*.f64 x x))) (fma.f64 y (*.f64 y (*.f64 x x)) (*.f64 x (fma.f64 y x x)))))
(/.f64 (*.f64 (*.f64 (fma.f64 (*.f64 y x) (*.f64 y (*.f64 y (*.f64 x x))) (*.f64 x (*.f64 x x))) (-.f64 (*.f64 (*.f64 y x) (*.f64 y (*.f64 y (*.f64 x x)))) (*.f64 x (*.f64 x x)))) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 y (*.f64 y x)) (*.f64 y (*.f64 y x))) (fma.f64 (*.f64 x x) (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 y (*.f64 y (*.f64 x x)))))) (fma.f64 y x x)))
(/.f64 (*.f64 (*.f64 (fma.f64 y (*.f64 y (*.f64 x x)) (*.f64 x x)) (*.f64 (-.f64 (*.f64 y x) x) (fma.f64 y x x))) #s(literal 1 binary64)) (*.f64 (fma.f64 y (*.f64 y (*.f64 x x)) (*.f64 x x)) (fma.f64 y x x)))
(/.f64 (neg.f64 (neg.f64 (-.f64 (*.f64 (*.f64 y x) (*.f64 y (*.f64 y (*.f64 x x)))) (*.f64 x (*.f64 x x))))) (neg.f64 (neg.f64 (fma.f64 y (*.f64 y (*.f64 x x)) (*.f64 x (fma.f64 y x x))))))
(/.f64 (neg.f64 (*.f64 (fma.f64 y x x) (neg.f64 (-.f64 (*.f64 y x) x)))) (neg.f64 (neg.f64 (fma.f64 y x x))))
(/.f64 (fma.f64 x (*.f64 x (neg.f64 x)) (*.f64 (*.f64 y x) (*.f64 y (*.f64 y (*.f64 x x))))) (fma.f64 x x (-.f64 (*.f64 y (*.f64 y (*.f64 x x))) (*.f64 (neg.f64 x) (*.f64 y x)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (*.f64 y x) (*.f64 y (*.f64 y (*.f64 x x)))) (fma.f64 y (*.f64 y (*.f64 x x)) (*.f64 x (fma.f64 y x x)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 x (*.f64 x x)) (fma.f64 y (*.f64 y (*.f64 x x)) (*.f64 x (fma.f64 y x x)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 (*.f64 y x) (*.f64 y (*.f64 y (*.f64 x x)))) (fma.f64 y (*.f64 y (*.f64 x x)) (*.f64 x (fma.f64 y x x)))) (/.f64 (*.f64 (*.f64 y x) (*.f64 y (*.f64 y (*.f64 x x)))) (fma.f64 y (*.f64 y (*.f64 x x)) (*.f64 x (fma.f64 y x x)))) (fma.f64 (/.f64 (*.f64 x (*.f64 x x)) (fma.f64 y (*.f64 y (*.f64 x x)) (*.f64 x (fma.f64 y x x)))) (/.f64 (*.f64 x (*.f64 x x)) (fma.f64 y (*.f64 y (*.f64 x x)) (*.f64 x (fma.f64 y x x)))) (*.f64 (/.f64 (*.f64 (*.f64 y x) (*.f64 y (*.f64 y (*.f64 x x)))) (fma.f64 y (*.f64 y (*.f64 x x)) (*.f64 x (fma.f64 y x x)))) (/.f64 (*.f64 x (*.f64 x x)) (fma.f64 y (*.f64 y (*.f64 x x)) (*.f64 x (fma.f64 y x x))))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 y (*.f64 y (*.f64 x x))) (fma.f64 y x x)) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 x x) (fma.f64 y x x)) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 y (*.f64 y (*.f64 x x))) (fma.f64 y x x)) (/.f64 (*.f64 y (*.f64 y (*.f64 x x))) (fma.f64 y x x)) (fma.f64 (/.f64 (*.f64 x x) (fma.f64 y x x)) (/.f64 (*.f64 x x) (fma.f64 y x x)) (*.f64 (/.f64 (*.f64 y (*.f64 y (*.f64 x x))) (fma.f64 y x x)) (/.f64 (*.f64 x x) (fma.f64 y x x))))))
(/.f64 (-.f64 (*.f64 x x) (*.f64 y (*.f64 y (*.f64 x x)))) (-.f64 (neg.f64 x) (*.f64 y x)))
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 (*.f64 y x) (*.f64 y (*.f64 y (*.f64 x x)))) (fma.f64 y (*.f64 y (*.f64 x x)) (*.f64 x (fma.f64 y x x)))) (/.f64 (*.f64 (*.f64 y x) (*.f64 y (*.f64 y (*.f64 x x)))) (fma.f64 y (*.f64 y (*.f64 x x)) (*.f64 x (fma.f64 y x x))))) (*.f64 (/.f64 (*.f64 x (*.f64 x x)) (fma.f64 y (*.f64 y (*.f64 x x)) (*.f64 x (fma.f64 y x x)))) (/.f64 (*.f64 x (*.f64 x x)) (fma.f64 y (*.f64 y (*.f64 x x)) (*.f64 x (fma.f64 y x x)))))) (+.f64 (/.f64 (*.f64 (*.f64 y x) (*.f64 y (*.f64 y (*.f64 x x)))) (fma.f64 y (*.f64 y (*.f64 x x)) (*.f64 x (fma.f64 y x x)))) (/.f64 (*.f64 x (*.f64 x x)) (fma.f64 y (*.f64 y (*.f64 x x)) (*.f64 x (fma.f64 y x x))))))
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 y (*.f64 y (*.f64 x x))) (fma.f64 y x x)) (/.f64 (*.f64 y (*.f64 y (*.f64 x x))) (fma.f64 y x x))) (*.f64 (/.f64 (*.f64 x x) (fma.f64 y x x)) (/.f64 (*.f64 x x) (fma.f64 y x x)))) (+.f64 (/.f64 (*.f64 y (*.f64 y (*.f64 x x))) (fma.f64 y x x)) (/.f64 (*.f64 x x) (fma.f64 y x x))))
(pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 y x) x)) #s(literal -1 binary64))
(*.f64 (-.f64 (*.f64 (*.f64 y x) (*.f64 y (*.f64 y (*.f64 x x)))) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y (*.f64 x x)) (*.f64 x (fma.f64 y x x)))))
(*.f64 (-.f64 (*.f64 (*.f64 y x) (*.f64 y (*.f64 y (*.f64 x x)))) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y (*.f64 x x)) (-.f64 (*.f64 x x) (neg.f64 (*.f64 y (*.f64 x x)))))))
(*.f64 (*.f64 (-.f64 (*.f64 y x) x) (fma.f64 y x x)) (/.f64 #s(literal 1 binary64) (fma.f64 y x x)))
(*.f64 (neg.f64 (-.f64 (*.f64 (*.f64 y x) (*.f64 y (*.f64 y (*.f64 x x)))) (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 y (*.f64 y (*.f64 x x)) (*.f64 x (fma.f64 y x x))))))
(*.f64 (*.f64 (fma.f64 y x x) (neg.f64 (-.f64 (*.f64 y x) x))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 y x x))))
(*.f64 #s(literal 1 binary64) (-.f64 (*.f64 y x) x))
(*.f64 (/.f64 (fma.f64 y x x) (+.f64 y #s(literal 1 binary64))) (/.f64 (-.f64 (*.f64 y x) x) x))
(*.f64 y x)
(*.f64 x y)

simplify210.0ms (2.7%)

Memory
17.8MiB live, 330.1MiB allocated
Algorithm
1×egg-herbie
Rules
8 060×lower-fma.f64
8 060×lower-fma.f32
2 208×lower-*.f64
2 208×lower-*.f32
1 122×lower--.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0103808
1324808
2893785
32674785
45829785
57235785
08101739
Stop Event
1×iter limit
1×node limit
Counts
168 → 165
Calls
Call 1
Inputs
(- 918938533204673/1000000000000000 x)
(- (+ 918938533204673/1000000000000000 (* y (- x 1/2))) x)
(- (+ 918938533204673/1000000000000000 (* y (- x 1/2))) x)
(- (+ 918938533204673/1000000000000000 (* y (- x 1/2))) x)
(* y (- x 1/2))
(* y (- (+ x (* 918938533204673/1000000000000000 (/ 1 y))) (+ 1/2 (/ x y))))
(* y (- (+ x (* 918938533204673/1000000000000000 (/ 1 y))) (+ 1/2 (/ x y))))
(* y (- (+ x (* 918938533204673/1000000000000000 (/ 1 y))) (+ 1/2 (/ x y))))
(* -1 (* y (- 1/2 x)))
(* -1 (* y (- (* -1 (/ (- 918938533204673/1000000000000000 x) y)) (* -1 (- 1/2 x)))))
(* -1 (* y (- (* -1 (/ (- 918938533204673/1000000000000000 x) y)) (* -1 (- 1/2 x)))))
(* -1 (* y (- (* -1 (/ (- 918938533204673/1000000000000000 x) y)) (* -1 (- 1/2 x)))))
(- 918938533204673/1000000000000000 (* 1/2 y))
(- (+ 918938533204673/1000000000000000 (* -1 (* x (+ 1 (* -1 y))))) (* 1/2 y))
(- (+ 918938533204673/1000000000000000 (* -1 (* x (+ 1 (* -1 y))))) (* 1/2 y))
(- (+ 918938533204673/1000000000000000 (* -1 (* x (+ 1 (* -1 y))))) (* 1/2 y))
(* -1 (* x (+ 1 (* -1 y))))
(* x (- (* 918938533204673/1000000000000000 (/ 1 x)) (+ 1 (+ (* -1 y) (* 1/2 (/ y x))))))
(* x (- (* 918938533204673/1000000000000000 (/ 1 x)) (+ 1 (+ (* -1 y) (* 1/2 (/ y x))))))
(* x (- (* 918938533204673/1000000000000000 (/ 1 x)) (+ 1 (+ (* -1 y) (* 1/2 (/ y x))))))
(* -1 (* x (- 1 y)))
(* -1 (* x (- (+ 1 (* -1 (/ (- 918938533204673/1000000000000000 (* 1/2 y)) x))) y)))
(* -1 (* x (- (+ 1 (* -1 (/ (- 918938533204673/1000000000000000 (* 1/2 y)) x))) y)))
(* -1 (* x (- (+ 1 (* -1 (/ (- 918938533204673/1000000000000000 (* 1/2 y)) x))) y)))
x
(+ x (* y (- 1/2 x)))
(+ x (* y (- 1/2 x)))
(+ x (* y (- 1/2 x)))
(* y (- 1/2 x))
(* y (- (+ 1/2 (/ x y)) x))
(* y (- (+ 1/2 (/ x y)) x))
(* y (- (+ 1/2 (/ x y)) x))
(* y (- 1/2 x))
(* -1 (* y (+ (* -1 (- 1/2 x)) (* -1 (/ x y)))))
(* -1 (* y (+ (* -1 (- 1/2 x)) (* -1 (/ x y)))))
(* -1 (* y (+ (* -1 (- 1/2 x)) (* -1 (/ x y)))))
(* 1/2 y)
(+ (* 1/2 y) (* x (+ 1 (* -1 y))))
(+ (* 1/2 y) (* x (+ 1 (* -1 y))))
(+ (* 1/2 y) (* x (+ 1 (* -1 y))))
(* x (+ 1 (* -1 y)))
(* x (+ 1 (+ (* -1 y) (* 1/2 (/ y x)))))
(* x (+ 1 (+ (* -1 y) (* 1/2 (/ y x)))))
(* x (+ 1 (+ (* -1 y) (* 1/2 (/ y x)))))
(* -1 (* x (- y 1)))
(* -1 (* x (- (+ y (* -1/2 (/ y x))) 1)))
(* -1 (* x (- (+ y (* -1/2 (/ y x))) 1)))
(* -1 (* x (- (+ y (* -1/2 (/ y x))) 1)))
1/2
(+ 1/2 (* -1 x))
(+ 1/2 (* -1 x))
(+ 1/2 (* -1 x))
(* -1 x)
(* x (- (* 1/2 (/ 1 x)) 1))
(* x (- (* 1/2 (/ 1 x)) 1))
(* x (- (* 1/2 (/ 1 x)) 1))
(* -1 x)
(* -1 (* x (- 1 (* 1/2 (/ 1 x)))))
(* -1 (* x (- 1 (* 1/2 (/ 1 x)))))
(* -1 (* x (- 1 (* 1/2 (/ 1 x)))))
918938533204673/1000000000000000
(+ 918938533204673/1000000000000000 (* -1 x))
(+ 918938533204673/1000000000000000 (* -1 x))
(+ 918938533204673/1000000000000000 (* -1 x))
(* -1 x)
(* x (- (* 918938533204673/1000000000000000 (/ 1 x)) 1))
(* x (- (* 918938533204673/1000000000000000 (/ 1 x)) 1))
(* x (- (* 918938533204673/1000000000000000 (/ 1 x)) 1))
(* -1 x)
(* -1 (* x (- 1 (* 918938533204673/1000000000000000 (/ 1 x)))))
(* -1 (* x (- 1 (* 918938533204673/1000000000000000 (/ 1 x)))))
(* -1 (* x (- 1 (* 918938533204673/1000000000000000 (/ 1 x)))))
918938533204673/1000000000000000
(+ 918938533204673/1000000000000000 (* -1/2 y))
(+ 918938533204673/1000000000000000 (* -1/2 y))
(+ 918938533204673/1000000000000000 (* -1/2 y))
(* -1/2 y)
(* y (- (* 918938533204673/1000000000000000 (/ 1 y)) 1/2))
(* y (- (* 918938533204673/1000000000000000 (/ 1 y)) 1/2))
(* y (- (* 918938533204673/1000000000000000 (/ 1 y)) 1/2))
(* -1/2 y)
(* -1 (* y (- 1/2 (* 918938533204673/1000000000000000 (/ 1 y)))))
(* -1 (* y (- 1/2 (* 918938533204673/1000000000000000 (/ 1 y)))))
(* -1 (* y (- 1/2 (* 918938533204673/1000000000000000 (/ 1 y)))))
(* y (- x 1/2))
(* y (- x 1/2))
(* y (- x 1/2))
(* y (- x 1/2))
(* y (- x 1/2))
(* y (- x 1/2))
(* y (- x 1/2))
(* y (- x 1/2))
(* y (- x 1/2))
(* y (- x 1/2))
(* y (- x 1/2))
(* y (- x 1/2))
(* -1/2 y)
(+ (* -1/2 y) (* x y))
(+ (* -1/2 y) (* x y))
(+ (* -1/2 y) (* x y))
(* x y)
(* x (+ y (* -1/2 (/ y x))))
(* x (+ y (* -1/2 (/ y x))))
(* x (+ y (* -1/2 (/ y x))))
(* x y)
(* -1 (* x (+ (* -1 y) (* 1/2 (/ y x)))))
(* -1 (* x (+ (* -1 y) (* 1/2 (/ y x)))))
(* -1 (* x (+ (* -1 y) (* 1/2 (/ y x)))))
-1/2
(- x 1/2)
(- x 1/2)
(- x 1/2)
x
(* x (- 1 (* 1/2 (/ 1 x))))
(* x (- 1 (* 1/2 (/ 1 x))))
(* x (- 1 (* 1/2 (/ 1 x))))
x
(* -1 (* x (- (* 1/2 (/ 1 x)) 1)))
(* -1 (* x (- (* 1/2 (/ 1 x)) 1)))
(* -1 (* x (- (* 1/2 (/ 1 x)) 1)))
(* -1 x)
(- (* x y) x)
(- (* x y) x)
(- (* x y) x)
(* x y)
(* y (+ x (* -1 (/ x y))))
(* y (+ x (* -1 (/ x y))))
(* y (+ x (* -1 (/ x y))))
(* x y)
(* -1 (* y (+ (* -1 x) (/ x y))))
(* -1 (* y (+ (* -1 x) (/ x y))))
(* -1 (* y (+ (* -1 x) (/ x y))))
(* x (- y 1))
(* x (- y 1))
(* x (- y 1))
(* x (- y 1))
(* x (- y 1))
(* x (- y 1))
(* x (- y 1))
(* x (- y 1))
(* -1 (* x (+ 1 (* -1 y))))
(* -1 (* x (+ 1 (* -1 y))))
(* -1 (* x (+ 1 (* -1 y))))
(* -1 (* x (+ 1 (* -1 y))))
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
Outputs
(- 918938533204673/1000000000000000 x)
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)
(- (+ 918938533204673/1000000000000000 (* y (- x 1/2))) x)
(fma.f64 y (+.f64 x #s(literal -1/2 binary64)) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x))
(- (+ 918938533204673/1000000000000000 (* y (- x 1/2))) x)
(fma.f64 y (+.f64 x #s(literal -1/2 binary64)) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x))
(- (+ 918938533204673/1000000000000000 (* y (- x 1/2))) x)
(fma.f64 y (+.f64 x #s(literal -1/2 binary64)) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x))
(* y (- x 1/2))
(*.f64 y (+.f64 x #s(literal -1/2 binary64)))
(* y (- (+ x (* 918938533204673/1000000000000000 (/ 1 y))) (+ 1/2 (/ x y))))
(fma.f64 y (+.f64 x #s(literal -1/2 binary64)) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x))
(* y (- (+ x (* 918938533204673/1000000000000000 (/ 1 y))) (+ 1/2 (/ x y))))
(fma.f64 y (+.f64 x #s(literal -1/2 binary64)) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x))
(* y (- (+ x (* 918938533204673/1000000000000000 (/ 1 y))) (+ 1/2 (/ x y))))
(fma.f64 y (+.f64 x #s(literal -1/2 binary64)) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x))
(* -1 (* y (- 1/2 x)))
(*.f64 y (+.f64 x #s(literal -1/2 binary64)))
(* -1 (* y (- (* -1 (/ (- 918938533204673/1000000000000000 x) y)) (* -1 (- 1/2 x)))))
(fma.f64 y (+.f64 x #s(literal -1/2 binary64)) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x))
(* -1 (* y (- (* -1 (/ (- 918938533204673/1000000000000000 x) y)) (* -1 (- 1/2 x)))))
(fma.f64 y (+.f64 x #s(literal -1/2 binary64)) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x))
(* -1 (* y (- (* -1 (/ (- 918938533204673/1000000000000000 x) y)) (* -1 (- 1/2 x)))))
(fma.f64 y (+.f64 x #s(literal -1/2 binary64)) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x))
(- 918938533204673/1000000000000000 (* 1/2 y))
(fma.f64 y #s(literal -1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64))
(- (+ 918938533204673/1000000000000000 (* -1 (* x (+ 1 (* -1 y))))) (* 1/2 y))
(fma.f64 y (+.f64 x #s(literal -1/2 binary64)) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x))
(- (+ 918938533204673/1000000000000000 (* -1 (* x (+ 1 (* -1 y))))) (* 1/2 y))
(fma.f64 y (+.f64 x #s(literal -1/2 binary64)) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x))
(- (+ 918938533204673/1000000000000000 (* -1 (* x (+ 1 (* -1 y))))) (* 1/2 y))
(fma.f64 y (+.f64 x #s(literal -1/2 binary64)) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x))
(* -1 (* x (+ 1 (* -1 y))))
(-.f64 (*.f64 x y) x)
(* x (- (* 918938533204673/1000000000000000 (/ 1 x)) (+ 1 (+ (* -1 y) (* 1/2 (/ y x))))))
(fma.f64 y (+.f64 x #s(literal -1/2 binary64)) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x))
(* x (- (* 918938533204673/1000000000000000 (/ 1 x)) (+ 1 (+ (* -1 y) (* 1/2 (/ y x))))))
(fma.f64 y (+.f64 x #s(literal -1/2 binary64)) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x))
(* x (- (* 918938533204673/1000000000000000 (/ 1 x)) (+ 1 (+ (* -1 y) (* 1/2 (/ y x))))))
(fma.f64 y (+.f64 x #s(literal -1/2 binary64)) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x))
(* -1 (* x (- 1 y)))
(-.f64 (*.f64 x y) x)
(* -1 (* x (- (+ 1 (* -1 (/ (- 918938533204673/1000000000000000 (* 1/2 y)) x))) y)))
(fma.f64 y (+.f64 x #s(literal -1/2 binary64)) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x))
(* -1 (* x (- (+ 1 (* -1 (/ (- 918938533204673/1000000000000000 (* 1/2 y)) x))) y)))
(fma.f64 y (+.f64 x #s(literal -1/2 binary64)) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x))
(* -1 (* x (- (+ 1 (* -1 (/ (- 918938533204673/1000000000000000 (* 1/2 y)) x))) y)))
(fma.f64 y (+.f64 x #s(literal -1/2 binary64)) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x))
x
(+ x (* y (- 1/2 x)))
(fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x)
(+ x (* y (- 1/2 x)))
(fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x)
(+ x (* y (- 1/2 x)))
(fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x)
(* y (- 1/2 x))
(*.f64 y (-.f64 #s(literal 1/2 binary64) x))
(* y (- (+ 1/2 (/ x y)) x))
(fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x)
(* y (- (+ 1/2 (/ x y)) x))
(fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x)
(* y (- (+ 1/2 (/ x y)) x))
(fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x)
(* y (- 1/2 x))
(*.f64 y (-.f64 #s(literal 1/2 binary64) x))
(* -1 (* y (+ (* -1 (- 1/2 x)) (* -1 (/ x y)))))
(fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x)
(* -1 (* y (+ (* -1 (- 1/2 x)) (* -1 (/ x y)))))
(fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x)
(* -1 (* y (+ (* -1 (- 1/2 x)) (* -1 (/ x y)))))
(fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x)
(* 1/2 y)
(*.f64 y #s(literal 1/2 binary64))
(+ (* 1/2 y) (* x (+ 1 (* -1 y))))
(fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x)
(+ (* 1/2 y) (* x (+ 1 (* -1 y))))
(fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x)
(+ (* 1/2 y) (* x (+ 1 (* -1 y))))
(fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x)
(* x (+ 1 (* -1 y)))
(fma.f64 x (neg.f64 y) x)
(* x (+ 1 (+ (* -1 y) (* 1/2 (/ y x)))))
(fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x)
(* x (+ 1 (+ (* -1 y) (* 1/2 (/ y x)))))
(fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x)
(* x (+ 1 (+ (* -1 y) (* 1/2 (/ y x)))))
(fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x)
(* -1 (* x (- y 1)))
(fma.f64 x (neg.f64 y) x)
(* -1 (* x (- (+ y (* -1/2 (/ y x))) 1)))
(fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x)
(* -1 (* x (- (+ y (* -1/2 (/ y x))) 1)))
(fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x)
(* -1 (* x (- (+ y (* -1/2 (/ y x))) 1)))
(fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x)
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* -1 x))
(-.f64 #s(literal 1/2 binary64) x)
(+ 1/2 (* -1 x))
(-.f64 #s(literal 1/2 binary64) x)
(+ 1/2 (* -1 x))
(-.f64 #s(literal 1/2 binary64) x)
(* -1 x)
(neg.f64 x)
(* x (- (* 1/2 (/ 1 x)) 1))
(-.f64 #s(literal 1/2 binary64) x)
(* x (- (* 1/2 (/ 1 x)) 1))
(-.f64 #s(literal 1/2 binary64) x)
(* x (- (* 1/2 (/ 1 x)) 1))
(-.f64 #s(literal 1/2 binary64) x)
(* -1 x)
(neg.f64 x)
(* -1 (* x (- 1 (* 1/2 (/ 1 x)))))
(-.f64 #s(literal 1/2 binary64) x)
(* -1 (* x (- 1 (* 1/2 (/ 1 x)))))
(-.f64 #s(literal 1/2 binary64) x)
(* -1 (* x (- 1 (* 1/2 (/ 1 x)))))
(-.f64 #s(literal 1/2 binary64) x)
918938533204673/1000000000000000
#s(literal 918938533204673/1000000000000000 binary64)
(+ 918938533204673/1000000000000000 (* -1 x))
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)
(+ 918938533204673/1000000000000000 (* -1 x))
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)
(+ 918938533204673/1000000000000000 (* -1 x))
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)
(* -1 x)
(neg.f64 x)
(* x (- (* 918938533204673/1000000000000000 (/ 1 x)) 1))
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)
(* x (- (* 918938533204673/1000000000000000 (/ 1 x)) 1))
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)
(* x (- (* 918938533204673/1000000000000000 (/ 1 x)) 1))
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)
(* -1 x)
(neg.f64 x)
(* -1 (* x (- 1 (* 918938533204673/1000000000000000 (/ 1 x)))))
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)
(* -1 (* x (- 1 (* 918938533204673/1000000000000000 (/ 1 x)))))
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)
(* -1 (* x (- 1 (* 918938533204673/1000000000000000 (/ 1 x)))))
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)
918938533204673/1000000000000000
#s(literal 918938533204673/1000000000000000 binary64)
(+ 918938533204673/1000000000000000 (* -1/2 y))
(fma.f64 y #s(literal -1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64))
(+ 918938533204673/1000000000000000 (* -1/2 y))
(fma.f64 y #s(literal -1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64))
(+ 918938533204673/1000000000000000 (* -1/2 y))
(fma.f64 y #s(literal -1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64))
(* -1/2 y)
(*.f64 y #s(literal -1/2 binary64))
(* y (- (* 918938533204673/1000000000000000 (/ 1 y)) 1/2))
(fma.f64 y #s(literal -1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64))
(* y (- (* 918938533204673/1000000000000000 (/ 1 y)) 1/2))
(fma.f64 y #s(literal -1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64))
(* y (- (* 918938533204673/1000000000000000 (/ 1 y)) 1/2))
(fma.f64 y #s(literal -1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64))
(* -1/2 y)
(*.f64 y #s(literal -1/2 binary64))
(* -1 (* y (- 1/2 (* 918938533204673/1000000000000000 (/ 1 y)))))
(fma.f64 y #s(literal -1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64))
(* -1 (* y (- 1/2 (* 918938533204673/1000000000000000 (/ 1 y)))))
(fma.f64 y #s(literal -1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64))
(* -1 (* y (- 1/2 (* 918938533204673/1000000000000000 (/ 1 y)))))
(fma.f64 y #s(literal -1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64))
(* y (- x 1/2))
(*.f64 y (+.f64 x #s(literal -1/2 binary64)))
(* y (- x 1/2))
(*.f64 y (+.f64 x #s(literal -1/2 binary64)))
(* y (- x 1/2))
(*.f64 y (+.f64 x #s(literal -1/2 binary64)))
(* y (- x 1/2))
(*.f64 y (+.f64 x #s(literal -1/2 binary64)))
(* y (- x 1/2))
(*.f64 y (+.f64 x #s(literal -1/2 binary64)))
(* y (- x 1/2))
(*.f64 y (+.f64 x #s(literal -1/2 binary64)))
(* y (- x 1/2))
(*.f64 y (+.f64 x #s(literal -1/2 binary64)))
(* y (- x 1/2))
(*.f64 y (+.f64 x #s(literal -1/2 binary64)))
(* y (- x 1/2))
(*.f64 y (+.f64 x #s(literal -1/2 binary64)))
(* y (- x 1/2))
(*.f64 y (+.f64 x #s(literal -1/2 binary64)))
(* y (- x 1/2))
(*.f64 y (+.f64 x #s(literal -1/2 binary64)))
(* y (- x 1/2))
(*.f64 y (+.f64 x #s(literal -1/2 binary64)))
(* -1/2 y)
(*.f64 y #s(literal -1/2 binary64))
(+ (* -1/2 y) (* x y))
(*.f64 y (+.f64 x #s(literal -1/2 binary64)))
(+ (* -1/2 y) (* x y))
(*.f64 y (+.f64 x #s(literal -1/2 binary64)))
(+ (* -1/2 y) (* x y))
(*.f64 y (+.f64 x #s(literal -1/2 binary64)))
(* x y)
(*.f64 x y)
(* x (+ y (* -1/2 (/ y x))))
(*.f64 y (+.f64 x #s(literal -1/2 binary64)))
(* x (+ y (* -1/2 (/ y x))))
(*.f64 y (+.f64 x #s(literal -1/2 binary64)))
(* x (+ y (* -1/2 (/ y x))))
(*.f64 y (+.f64 x #s(literal -1/2 binary64)))
(* x y)
(*.f64 x y)
(* -1 (* x (+ (* -1 y) (* 1/2 (/ y x)))))
(*.f64 y (+.f64 x #s(literal -1/2 binary64)))
(* -1 (* x (+ (* -1 y) (* 1/2 (/ y x)))))
(*.f64 y (+.f64 x #s(literal -1/2 binary64)))
(* -1 (* x (+ (* -1 y) (* 1/2 (/ y x)))))
(*.f64 y (+.f64 x #s(literal -1/2 binary64)))
-1/2
#s(literal -1/2 binary64)
(- x 1/2)
(+.f64 x #s(literal -1/2 binary64))
(- x 1/2)
(+.f64 x #s(literal -1/2 binary64))
(- x 1/2)
(+.f64 x #s(literal -1/2 binary64))
x
(* x (- 1 (* 1/2 (/ 1 x))))
(+.f64 x #s(literal -1/2 binary64))
(* x (- 1 (* 1/2 (/ 1 x))))
(+.f64 x #s(literal -1/2 binary64))
(* x (- 1 (* 1/2 (/ 1 x))))
(+.f64 x #s(literal -1/2 binary64))
x
(* -1 (* x (- (* 1/2 (/ 1 x)) 1)))
(+.f64 x #s(literal -1/2 binary64))
(* -1 (* x (- (* 1/2 (/ 1 x)) 1)))
(+.f64 x #s(literal -1/2 binary64))
(* -1 (* x (- (* 1/2 (/ 1 x)) 1)))
(+.f64 x #s(literal -1/2 binary64))
(* -1 x)
(neg.f64 x)
(- (* x y) x)
(-.f64 (*.f64 x y) x)
(- (* x y) x)
(-.f64 (*.f64 x y) x)
(- (* x y) x)
(-.f64 (*.f64 x y) x)
(* x y)
(*.f64 x y)
(* y (+ x (* -1 (/ x y))))
(-.f64 (*.f64 x y) x)
(* y (+ x (* -1 (/ x y))))
(-.f64 (*.f64 x y) x)
(* y (+ x (* -1 (/ x y))))
(-.f64 (*.f64 x y) x)
(* x y)
(*.f64 x y)
(* -1 (* y (+ (* -1 x) (/ x y))))
(-.f64 (*.f64 x y) x)
(* -1 (* y (+ (* -1 x) (/ x y))))
(-.f64 (*.f64 x y) x)
(* -1 (* y (+ (* -1 x) (/ x y))))
(-.f64 (*.f64 x y) x)
(* x (- y 1))
(-.f64 (*.f64 x y) x)
(* x (- y 1))
(-.f64 (*.f64 x y) x)
(* x (- y 1))
(-.f64 (*.f64 x y) x)
(* x (- y 1))
(-.f64 (*.f64 x y) x)
(* x (- y 1))
(-.f64 (*.f64 x y) x)
(* x (- y 1))
(-.f64 (*.f64 x y) x)
(* x (- y 1))
(-.f64 (*.f64 x y) x)
(* x (- y 1))
(-.f64 (*.f64 x y) x)
(* -1 (* x (+ 1 (* -1 y))))
(-.f64 (*.f64 x y) x)
(* -1 (* x (+ 1 (* -1 y))))
(-.f64 (*.f64 x y) x)
(* -1 (* x (+ 1 (* -1 y))))
(-.f64 (*.f64 x y) x)
(* -1 (* x (+ 1 (* -1 y))))
(-.f64 (*.f64 x y) x)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)

eval67.0ms (0.8%)

Memory
19.0MiB live, 134.3MiB allocated
Compiler

Compiled 12 836 to 1 349 computations (89.5% saved)

prune70.0ms (0.9%)

Memory
-33.3MiB live, 129.8MiB allocated
Pruning

12 alts after pruning (8 fresh and 4 done)

PrunedKeptTotal
New5768584
Fresh202
Picked145
Done000
Total57912591
Accuracy
100.0%
Counts
591 → 12
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶49.9%
(fma.f64 y x (*.f64 y #s(literal -1/2 binary64)))
▶49.9%
(fma.f64 y x (neg.f64 x))
✓51.1%
(fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64))
✓100.0%
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x))
73.1%
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y (neg.f64 x) x))
▶77.7%
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y #s(literal 1/2 binary64) x))
✓51.1%
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)
✓49.9%
(*.f64 y (+.f64 #s(literal -1/2 binary64) x))
29.1%
(*.f64 y #s(literal -1/2 binary64))
▶23.6%
(*.f64 x y)
27.9%
(neg.f64 x)
▶24.4%
#s(literal 918938533204673/1000000000000000 binary64)
Compiler

Compiled 126 to 89 computations (29.4% saved)

simplify35.0ms (0.4%)

Memory
0.7MiB live, 37.4MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 7 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(*.f64 y #s(literal -1/2 binary64))
✓cost-diff192
(fma.f64 y x (*.f64 y #s(literal -1/2 binary64)))
✓cost-diff0
(neg.f64 x)
✓cost-diff0
(fma.f64 y x (neg.f64 x))
✓cost-diff0
(*.f64 x y)
✓cost-diff0
(fma.f64 y #s(literal 1/2 binary64) x)
✓cost-diff0
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y #s(literal 1/2 binary64) x))
Rules
592×lower-fma.f32
586×lower-fma.f64
256×lower-*.f32
252×lower-*.f64
176×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01241
02140
13740
26540
311540
422140
536940
664340
782340
884240
084240
Stop Event
1×iter limit
1×saturated
1×iter limit
Calls
Call 1
Inputs
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y #s(literal 1/2 binary64) x))
#s(literal 918938533204673/1000000000000000 binary64)
(fma.f64 y #s(literal 1/2 binary64) x)
y
#s(literal 1/2 binary64)
x
#s(literal 918938533204673/1000000000000000 binary64)
(*.f64 x y)
x
y
(fma.f64 y x (neg.f64 x))
y
x
(neg.f64 x)
(fma.f64 y x (*.f64 y #s(literal -1/2 binary64)))
y
x
(*.f64 y #s(literal -1/2 binary64))
#s(literal -1/2 binary64)
Outputs
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y #s(literal 1/2 binary64) x))
#s(literal 918938533204673/1000000000000000 binary64)
(fma.f64 y #s(literal 1/2 binary64) x)
y
#s(literal 1/2 binary64)
x
#s(literal 918938533204673/1000000000000000 binary64)
(*.f64 x y)
(*.f64 y x)
x
y
(fma.f64 y x (neg.f64 x))
(-.f64 (*.f64 y x) x)
y
x
(neg.f64 x)
(fma.f64 y x (*.f64 y #s(literal -1/2 binary64)))
(*.f64 y (+.f64 x #s(literal -1/2 binary64)))
y
x
(*.f64 y #s(literal -1/2 binary64))
#s(literal -1/2 binary64)

localize45.0ms (0.6%)

Memory
20.4MiB live, 57.2MiB allocated
Localize:

Found 7 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(fma.f64 y x (*.f64 y #s(literal -1/2 binary64)))
✓accuracy100.0%
(*.f64 y #s(literal -1/2 binary64))
✓accuracy100.0%
(fma.f64 y x (neg.f64 x))
✓accuracy100.0%
(neg.f64 x)
✓accuracy100.0%
(*.f64 x y)
✓accuracy100.0%
(fma.f64 y #s(literal 1/2 binary64) x)
✓accuracy100.0%
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y #s(literal 1/2 binary64) x))
Samples
31.0ms256×0valid
Compiler

Compiled 47 to 16 computations (66% saved)

Precisions
Click to see histograms. Total time spent on operations: 21.0ms
ival-add: 7.0ms (33.5% of total)
ival-mult: 6.0ms (28.7% of total)
const: 5.0ms (23.9% of total)
ival-sub: 1.0ms (4.8% of total)
ival-neg: 1.0ms (4.8% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series3.0ms (0%)

Memory
4.5MiB live, 4.5MiB allocated
Counts
7 → 144
Calls
Call 1
Inputs
#<alt (-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y #s(literal 1/2 binary64) x))>
#<alt (fma.f64 y #s(literal 1/2 binary64) x)>
#<alt (*.f64 x y)>
#<alt (fma.f64 y x (neg.f64 x))>
#<alt (neg.f64 x)>
#<alt (fma.f64 y x (*.f64 y #s(literal -1/2 binary64)))>
#<alt (*.f64 y #s(literal -1/2 binary64))>
Outputs
#<alt (- 918938533204673/1000000000000000 x)>
#<alt (- (+ 918938533204673/1000000000000000 (* -1/2 y)) x)>
#<alt (- (+ 918938533204673/1000000000000000 (* -1/2 y)) x)>
#<alt (- (+ 918938533204673/1000000000000000 (* -1/2 y)) x)>
#<alt (* -1/2 y)>
#<alt (* y (- (* 918938533204673/1000000000000000 (/ 1 y)) (+ 1/2 (/ x y))))>
#<alt (* y (- (* 918938533204673/1000000000000000 (/ 1 y)) (+ 1/2 (/ x y))))>
#<alt (* y (- (* 918938533204673/1000000000000000 (/ 1 y)) (+ 1/2 (/ x y))))>
#<alt (* -1/2 y)>
#<alt (* -1 (* y (+ 1/2 (* -1 (/ (- 918938533204673/1000000000000000 x) y)))))>
#<alt (* -1 (* y (+ 1/2 (* -1 (/ (- 918938533204673/1000000000000000 x) y)))))>
#<alt (* -1 (* y (+ 1/2 (* -1 (/ (- 918938533204673/1000000000000000 x) y)))))>
#<alt (- 918938533204673/1000000000000000 (* 1/2 y))>
#<alt (- (+ 918938533204673/1000000000000000 (* -1 x)) (* 1/2 y))>
#<alt (- (+ 918938533204673/1000000000000000 (* -1 x)) (* 1/2 y))>
#<alt (- (+ 918938533204673/1000000000000000 (* -1 x)) (* 1/2 y))>
#<alt (* -1 x)>
#<alt (* x (- (* 918938533204673/1000000000000000 (/ 1 x)) (+ 1 (* 1/2 (/ y x)))))>
#<alt (* x (- (* 918938533204673/1000000000000000 (/ 1 x)) (+ 1 (* 1/2 (/ y x)))))>
#<alt (* x (- (* 918938533204673/1000000000000000 (/ 1 x)) (+ 1 (* 1/2 (/ y x)))))>
#<alt (* -1 x)>
#<alt (* -1 (* x (+ 1 (* -1 (/ (- 918938533204673/1000000000000000 (* 1/2 y)) x)))))>
#<alt (* -1 (* x (+ 1 (* -1 (/ (- 918938533204673/1000000000000000 (* 1/2 y)) x)))))>
#<alt (* -1 (* x (+ 1 (* -1 (/ (- 918938533204673/1000000000000000 (* 1/2 y)) x)))))>
#<alt x>
#<alt (+ x (* 1/2 y))>
#<alt (+ x (* 1/2 y))>
#<alt (+ x (* 1/2 y))>
#<alt (* 1/2 y)>
#<alt (* y (+ 1/2 (/ x y)))>
#<alt (* y (+ 1/2 (/ x y)))>
#<alt (* y (+ 1/2 (/ x y)))>
#<alt (* 1/2 y)>
#<alt (* -1 (* y (- (* -1 (/ x y)) 1/2)))>
#<alt (* -1 (* y (- (* -1 (/ x y)) 1/2)))>
#<alt (* -1 (* y (- (* -1 (/ x y)) 1/2)))>
#<alt (* 1/2 y)>
#<alt (+ x (* 1/2 y))>
#<alt (+ x (* 1/2 y))>
#<alt (+ x (* 1/2 y))>
#<alt x>
#<alt (* x (+ 1 (* 1/2 (/ y x))))>
#<alt (* x (+ 1 (* 1/2 (/ y x))))>
#<alt (* x (+ 1 (* 1/2 (/ y x))))>
#<alt x>
#<alt (* -1 (* x (- (* -1/2 (/ y x)) 1)))>
#<alt (* -1 (* x (- (* -1/2 (/ y x)) 1)))>
#<alt (* -1 (* x (- (* -1/2 (/ y x)) 1)))>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* -1 x)>
#<alt (- (* x y) x)>
#<alt (- (* x y) x)>
#<alt (- (* x y) x)>
#<alt (* x y)>
#<alt (* y (+ x (* -1 (/ x y))))>
#<alt (* y (+ x (* -1 (/ x y))))>
#<alt (* y (+ x (* -1 (/ x y))))>
#<alt (* x y)>
#<alt (* -1 (* y (+ (* -1 x) (/ x y))))>
#<alt (* -1 (* y (+ (* -1 x) (/ x y))))>
#<alt (* -1 (* y (+ (* -1 x) (/ x y))))>
#<alt (* x (- y 1))>
#<alt (* x (- y 1))>
#<alt (* x (- y 1))>
#<alt (* x (- y 1))>
#<alt (* x (- y 1))>
#<alt (* x (- y 1))>
#<alt (* x (- y 1))>
#<alt (* x (- y 1))>
#<alt (* -1 (* x (+ 1 (* -1 y))))>
#<alt (* -1 (* x (+ 1 (* -1 y))))>
#<alt (* -1 (* x (+ 1 (* -1 y))))>
#<alt (* -1 (* x (+ 1 (* -1 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 (* y (- x 1/2))>
#<alt (* y (- x 1/2))>
#<alt (* y (- x 1/2))>
#<alt (* y (- x 1/2))>
#<alt (* y (- x 1/2))>
#<alt (* y (- x 1/2))>
#<alt (* y (- x 1/2))>
#<alt (* y (- x 1/2))>
#<alt (* -1 (* y (+ 1/2 (* -1 x))))>
#<alt (* -1 (* y (+ 1/2 (* -1 x))))>
#<alt (* -1 (* y (+ 1/2 (* -1 x))))>
#<alt (* -1 (* y (+ 1/2 (* -1 x))))>
#<alt (* -1/2 y)>
#<alt (+ (* -1/2 y) (* x y))>
#<alt (+ (* -1/2 y) (* x y))>
#<alt (+ (* -1/2 y) (* x y))>
#<alt (* x y)>
#<alt (* x (+ y (* -1/2 (/ y x))))>
#<alt (* x (+ y (* -1/2 (/ y x))))>
#<alt (* x (+ y (* -1/2 (/ y x))))>
#<alt (* x y)>
#<alt (* -1 (* x (+ (* -1 y) (* 1/2 (/ y x)))))>
#<alt (* -1 (* x (+ (* -1 y) (* 1/2 (/ y x)))))>
#<alt (* -1 (* x (+ (* -1 y) (* 1/2 (/ y x)))))>
#<alt (* -1/2 y)>
#<alt (* -1/2 y)>
#<alt (* -1/2 y)>
#<alt (* -1/2 y)>
#<alt (* -1/2 y)>
#<alt (* -1/2 y)>
#<alt (* -1/2 y)>
#<alt (* -1/2 y)>
#<alt (* -1/2 y)>
#<alt (* -1/2 y)>
#<alt (* -1/2 y)>
#<alt (* -1/2 y)>
Calls

36 calls:

TimeVariablePointExpression
0.0ms
y
@inf
(+ (* y x) (* y -1/2))
0.0ms
y
@0
(+ (* y x) (* y -1/2))
0.0ms
x
@0
(+ (* y x) (* y -1/2))
0.0ms
y
@0
(- 918938533204673/1000000000000000 (+ (* y 1/2) x))
0.0ms
y
@inf
(- 918938533204673/1000000000000000 (+ (* y 1/2) x))

rewrite512.0ms (6.5%)

Memory
-152.2MiB live, 371.6MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
7 528×lower-fma.f32
7 522×lower-fma.f64
4 038×lower-*.f32
4 034×lower-*.f64
2 494×lower-/.f64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01229
02128
18628
272426
0999326
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
7 → 397
Calls
Call 1
Inputs
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y #s(literal 1/2 binary64) x))
(fma.f64 y #s(literal 1/2 binary64) x)
(*.f64 x y)
(fma.f64 y x (neg.f64 x))
(neg.f64 x)
(fma.f64 y x (*.f64 y #s(literal -1/2 binary64)))
(*.f64 y #s(literal -1/2 binary64))
Outputs
(+.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y #s(literal 1/2 binary64) x))
(+.f64 x (fma.f64 y #s(literal 1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64)))
(+.f64 x (fma.f64 y #s(literal -1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64)))
(+.f64 (fma.f64 y #s(literal 1/2 binary64) x) #s(literal 918938533204673/1000000000000000 binary64))
(+.f64 (*.f64 y #s(literal -1/2 binary64)) (+.f64 x #s(literal 918938533204673/1000000000000000 binary64)))
(+.f64 (*.f64 y #s(literal 1/2 binary64)) (+.f64 x #s(literal 918938533204673/1000000000000000 binary64)))
(+.f64 (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 y #s(literal -1/2 binary64))) x)
(+.f64 (/.f64 #s(literal 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 binary64) (fma.f64 (fma.f64 y #s(literal 1/2 binary64) x) (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y #s(literal 1/2 binary64) x)) #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64))) (neg.f64 (/.f64 (*.f64 (fma.f64 y #s(literal 1/2 binary64) x) (fma.f64 y (*.f64 y #s(literal 1/4 binary64)) (*.f64 x x))) (fma.f64 (fma.f64 y #s(literal 1/2 binary64) x) (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y #s(literal 1/2 binary64) x)) #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64)))))
(+.f64 (/.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y #s(literal 1/2 binary64) x))) (neg.f64 (/.f64 (fma.f64 y (*.f64 y #s(literal 1/4 binary64)) (*.f64 x x)) (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y #s(literal 1/2 binary64) x)))))
(+.f64 (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 y #s(literal 1/2 binary64))) x)
(+.f64 (+.f64 #s(literal 918938533204673/1000000000000000 binary64) x) (*.f64 y #s(literal -1/2 binary64)))
(+.f64 (+.f64 #s(literal 918938533204673/1000000000000000 binary64) x) (*.f64 y #s(literal 1/2 binary64)))
(+.f64 (+.f64 (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 y #s(literal -1/2 binary64))) #s(literal 0 binary64)) x)
(+.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) (/.f64 (*.f64 y (*.f64 y #s(literal 1/4 binary64))) (fma.f64 y #s(literal 1/2 binary64) x))) (/.f64 (*.f64 x x) (fma.f64 y #s(literal 1/2 binary64) x)))
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y #s(literal 1/2 binary64) x))
(-.f64 #s(literal 0 binary64) (-.f64 (fma.f64 y #s(literal 1/2 binary64) x) #s(literal 918938533204673/1000000000000000 binary64)))
(-.f64 (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 y #s(literal -1/2 binary64))) x)
(-.f64 (/.f64 #s(literal 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 binary64) (fma.f64 (fma.f64 y #s(literal 1/2 binary64) x) (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y #s(literal 1/2 binary64) x)) #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64))) (/.f64 (*.f64 (fma.f64 y #s(literal 1/2 binary64) x) (fma.f64 y (*.f64 y #s(literal 1/4 binary64)) (*.f64 x x))) (fma.f64 (fma.f64 y #s(literal 1/2 binary64) x) (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y #s(literal 1/2 binary64) x)) #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64))))
(-.f64 (/.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y #s(literal 1/2 binary64) x))) (/.f64 (fma.f64 y (*.f64 y #s(literal 1/4 binary64)) (*.f64 x x)) (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y #s(literal 1/2 binary64) x))))
(-.f64 (/.f64 (*.f64 y (*.f64 y #s(literal 1/4 binary64))) (fma.f64 y #s(literal 1/2 binary64) x)) (-.f64 (/.f64 (*.f64 x x) (fma.f64 y #s(literal 1/2 binary64) x)) #s(literal 918938533204673/1000000000000000 binary64)))
(-.f64 (+.f64 #s(literal 918938533204673/1000000000000000 binary64) x) (*.f64 y #s(literal -1/2 binary64)))
(-.f64 (+.f64 #s(literal 918938533204673/1000000000000000 binary64) x) (*.f64 y #s(literal 1/2 binary64)))
(-.f64 (/.f64 (*.f64 (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 y #s(literal -1/2 binary64))) (*.f64 (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 y #s(literal -1/2 binary64))) (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 y #s(literal -1/2 binary64))))) (fma.f64 (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y #s(literal 1/2 binary64) x)) (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y #s(literal 1/2 binary64) x)) (*.f64 (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 y #s(literal -1/2 binary64))) x))) (/.f64 (*.f64 x (*.f64 x x)) (fma.f64 (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y #s(literal 1/2 binary64) x)) (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y #s(literal 1/2 binary64) x)) (*.f64 (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 y #s(literal -1/2 binary64))) x))))
(-.f64 (/.f64 (*.f64 (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 y #s(literal -1/2 binary64))) (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 y #s(literal -1/2 binary64)))) (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y #s(literal 1/2 binary64) x))) (/.f64 (*.f64 x x) (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y #s(literal 1/2 binary64) x))))
(-.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 y #s(literal -1/2 binary64))) x)
(-.f64 (+.f64 (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 y #s(literal -1/2 binary64))) #s(literal 0 binary64)) x)
(-.f64 (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (/.f64 (*.f64 y (*.f64 y #s(literal 1/4 binary64))) (fma.f64 y #s(literal 1/2 binary64) x))) (/.f64 (*.f64 x x) (fma.f64 y #s(literal 1/2 binary64) x)))
(fma.f64 y #s(literal 1/2 binary64) (+.f64 x #s(literal 918938533204673/1000000000000000 binary64)))
(fma.f64 y #s(literal -1/2 binary64) (+.f64 x #s(literal 918938533204673/1000000000000000 binary64)))
(fma.f64 #s(literal 1/2 binary64) y (+.f64 x #s(literal 918938533204673/1000000000000000 binary64)))
(fma.f64 #s(literal 1/2 binary64) (neg.f64 y) (+.f64 x #s(literal 918938533204673/1000000000000000 binary64)))
(fma.f64 x #s(literal -1 binary64) (fma.f64 y #s(literal 1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64)))
(fma.f64 x #s(literal -1 binary64) (fma.f64 y #s(literal -1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64)))
(fma.f64 x #s(literal 1 binary64) (fma.f64 y #s(literal 1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64)))
(fma.f64 x #s(literal 1 binary64) (fma.f64 y #s(literal -1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64)))
(fma.f64 (fma.f64 y #s(literal 1/2 binary64) x) (*.f64 (fma.f64 y #s(literal 1/2 binary64) x) (/.f64 #s(literal -1 binary64) (fma.f64 y #s(literal 1/2 binary64) x))) #s(literal 918938533204673/1000000000000000 binary64))
(fma.f64 #s(literal -1/2 binary64) y (+.f64 x #s(literal 918938533204673/1000000000000000 binary64)))
(fma.f64 #s(literal -1/2 binary64) (neg.f64 y) (+.f64 x #s(literal 918938533204673/1000000000000000 binary64)))
(fma.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) x) (fma.f64 y #s(literal 1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64)))
(fma.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) x) (fma.f64 y #s(literal -1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64)))
(fma.f64 (*.f64 x (*.f64 x x)) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64))) (fma.f64 y #s(literal 1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64)))
(fma.f64 (*.f64 x (*.f64 x x)) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64))) (fma.f64 y #s(literal -1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64)))
(fma.f64 (fma.f64 y (*.f64 y #s(literal 1/4 binary64)) (*.f64 x (fma.f64 y #s(literal 1/2 binary64) x))) (*.f64 (fma.f64 y #s(literal 1/2 binary64) x) (/.f64 #s(literal -1 binary64) (fma.f64 x (fma.f64 y #s(literal 1/2 binary64) x) (*.f64 (*.f64 y y) #s(literal -1/4 binary64))))) #s(literal 918938533204673/1000000000000000 binary64))
(fma.f64 #s(literal 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 y #s(literal 1/2 binary64) x) (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y #s(literal 1/2 binary64) x)) #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64))) (neg.f64 (/.f64 (*.f64 (fma.f64 y #s(literal 1/2 binary64) x) (fma.f64 y (*.f64 y #s(literal 1/4 binary64)) (*.f64 x x))) (fma.f64 (fma.f64 y #s(literal 1/2 binary64) x) (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y #s(literal 1/2 binary64) x)) #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64)))))
(fma.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y #s(literal 1/2 binary64) x))) (neg.f64 (/.f64 (fma.f64 y (*.f64 y #s(literal 1/4 binary64)) (*.f64 x x)) (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y #s(literal 1/2 binary64) x)))))
(fma.f64 #s(literal -1 binary64) x (fma.f64 y #s(literal 1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64)))
(fma.f64 #s(literal -1 binary64) x (fma.f64 y #s(literal -1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64)))
(fma.f64 #s(literal -1 binary64) (fma.f64 y #s(literal 1/2 binary64) x) #s(literal 918938533204673/1000000000000000 binary64))
(fma.f64 #s(literal -1 binary64) (*.f64 y #s(literal -1/2 binary64)) (+.f64 x #s(literal 918938533204673/1000000000000000 binary64)))
(fma.f64 #s(literal -1 binary64) (*.f64 y #s(literal 1/2 binary64)) (+.f64 x #s(literal 918938533204673/1000000000000000 binary64)))
(fma.f64 (fma.f64 y (*.f64 y #s(literal 1/4 binary64)) (*.f64 x x)) (/.f64 #s(literal -1 binary64) (fma.f64 y #s(literal 1/2 binary64) x)) #s(literal 918938533204673/1000000000000000 binary64))
(fma.f64 (fma.f64 y (*.f64 y #s(literal 1/4 binary64)) (*.f64 x x)) (neg.f64 (/.f64 #s(literal -1 binary64) (fma.f64 y #s(literal 1/2 binary64) x))) #s(literal 918938533204673/1000000000000000 binary64))
(fma.f64 (fma.f64 (*.f64 y (*.f64 y y)) #s(literal -1/8 binary64) (*.f64 x (*.f64 x x))) (/.f64 #s(literal -1 binary64) (fma.f64 x (fma.f64 y #s(literal 1/2 binary64) x) (*.f64 (*.f64 y y) #s(literal -1/4 binary64)))) #s(literal 918938533204673/1000000000000000 binary64))
(fma.f64 (fma.f64 (*.f64 y (*.f64 y y)) #s(literal -1/8 binary64) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 y #s(literal 1/2 binary64) x) (*.f64 (*.f64 y y) #s(literal -1/4 binary64)))) #s(literal 918938533204673/1000000000000000 binary64))
(fma.f64 (fma.f64 (*.f64 y (*.f64 y y)) #s(literal -1/8 binary64) (*.f64 x (*.f64 x x))) (neg.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x (fma.f64 y #s(literal 1/2 binary64) x) (*.f64 (*.f64 y y) #s(literal -1/4 binary64))))) #s(literal 918938533204673/1000000000000000 binary64))
(fma.f64 (+.f64 #s(literal 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 binary64) (*.f64 (*.f64 y (*.f64 y y)) #s(literal -1/8 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (fma.f64 y (*.f64 y #s(literal 1/4 binary64)) (*.f64 #s(literal 918938533204673/2000000000000000 binary64) y)))) x)
(fma.f64 #s(literal 1 binary64) x (fma.f64 y #s(literal 1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64)))
(fma.f64 #s(literal 1 binary64) x (fma.f64 y #s(literal -1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64)))
(fma.f64 #s(literal 1 binary64) (fma.f64 y #s(literal 1/2 binary64) x) #s(literal 918938533204673/1000000000000000 binary64))
(fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 y #s(literal 1/2 binary64) x)) (fma.f64 y (*.f64 y #s(literal 1/4 binary64)) (*.f64 x x)) #s(literal 918938533204673/1000000000000000 binary64))
(fma.f64 (+.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (*.f64 (*.f64 y y) #s(literal -1/4 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 y #s(literal 1/2 binary64)))) x)
(fma.f64 (neg.f64 y) #s(literal 1/2 binary64) (+.f64 x #s(literal 918938533204673/1000000000000000 binary64)))
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(+.f64 (*.f64 y x) (*.f64 y #s(literal 1/2 binary64)))
(+.f64 (/.f64 (*.f64 y (*.f64 y (*.f64 x x))) (*.f64 y (+.f64 x #s(literal -1/2 binary64)))) (neg.f64 (/.f64 (*.f64 y (*.f64 y #s(literal 1/4 binary64))) (*.f64 y (+.f64 x #s(literal -1/2 binary64))))))
(-.f64 (*.f64 y #s(literal -1/2 binary64)) (*.f64 y x))
(-.f64 (*.f64 y x) (*.f64 y #s(literal -1/2 binary64)))
(-.f64 #s(literal 0 binary64) (*.f64 y (+.f64 x #s(literal -1/2 binary64))))
(-.f64 (/.f64 (*.f64 y (*.f64 y (*.f64 x x))) (*.f64 y (+.f64 x #s(literal -1/2 binary64)))) (/.f64 (*.f64 y (*.f64 y #s(literal 1/4 binary64))) (*.f64 y (+.f64 x #s(literal -1/2 binary64)))))
(-.f64 (/.f64 (*.f64 y (*.f64 y #s(literal 1/4 binary64))) (*.f64 y (+.f64 x #s(literal -1/2 binary64)))) (/.f64 (*.f64 y (*.f64 y (*.f64 x x))) (*.f64 y (+.f64 x #s(literal -1/2 binary64)))))
(-.f64 (/.f64 (*.f64 (*.f64 y x) (*.f64 y (*.f64 y (*.f64 x x)))) (fma.f64 (*.f64 y y) (fma.f64 x x #s(literal 1/4 binary64)) (*.f64 y (*.f64 #s(literal 1/2 binary64) (*.f64 y x))))) (/.f64 (*.f64 (*.f64 y (*.f64 y y)) #s(literal -1/8 binary64)) (fma.f64 (*.f64 y y) (fma.f64 x x #s(literal 1/4 binary64)) (*.f64 y (*.f64 #s(literal 1/2 binary64) (*.f64 y x))))))
(fma.f64 y x (*.f64 y #s(literal -1/2 binary64)))
(fma.f64 y x (*.f64 y #s(literal 1/2 binary64)))
(fma.f64 y #s(literal -1/2 binary64) (*.f64 y x))
(fma.f64 #s(literal 1/2 binary64) (neg.f64 y) (*.f64 y x))
(fma.f64 x y (*.f64 y #s(literal -1/2 binary64)))
(fma.f64 x y (*.f64 y #s(literal 1/2 binary64)))
(fma.f64 x (neg.f64 y) (*.f64 y #s(literal -1/2 binary64)))
(fma.f64 x (neg.f64 y) (*.f64 y #s(literal 1/2 binary64)))
(fma.f64 x (*.f64 y #s(literal -1 binary64)) (*.f64 y #s(literal -1/2 binary64)))
(fma.f64 x (*.f64 y #s(literal -1 binary64)) (*.f64 y #s(literal 1/2 binary64)))
(fma.f64 #s(literal -1/2 binary64) y (*.f64 y x))
(fma.f64 (*.f64 y x) #s(literal -1 binary64) (*.f64 y #s(literal -1/2 binary64)))
(fma.f64 (*.f64 y x) #s(literal -1 binary64) (*.f64 y #s(literal 1/2 binary64)))
(fma.f64 (*.f64 y (*.f64 y (*.f64 x x))) (/.f64 #s(literal -1 binary64) (*.f64 y (+.f64 x #s(literal -1/2 binary64)))) (neg.f64 (/.f64 (*.f64 y (*.f64 y #s(literal 1/4 binary64))) (*.f64 y (+.f64 x #s(literal -1/2 binary64))))))
(fma.f64 #s(literal -1 binary64) (*.f64 y x) (*.f64 y #s(literal -1/2 binary64)))
(fma.f64 #s(literal -1 binary64) (*.f64 y x) (*.f64 y #s(literal 1/2 binary64)))
(fma.f64 #s(literal -1 binary64) (*.f64 y #s(literal 1/2 binary64)) (*.f64 y x))
(fma.f64 (neg.f64 y) #s(literal 1/2 binary64) (*.f64 y x))
(fma.f64 (neg.f64 y) x (*.f64 y #s(literal -1/2 binary64)))
(fma.f64 (neg.f64 y) x (*.f64 y #s(literal 1/2 binary64)))
(fma.f64 (/.f64 y y) (/.f64 (*.f64 y (*.f64 x x)) (+.f64 x #s(literal 1/2 binary64))) (neg.f64 (/.f64 (*.f64 y (*.f64 y #s(literal 1/4 binary64))) (*.f64 y (+.f64 x #s(literal -1/2 binary64))))))
(fma.f64 (/.f64 x y) (/.f64 (*.f64 y (*.f64 y x)) (+.f64 x #s(literal 1/2 binary64))) (neg.f64 (/.f64 (*.f64 y (*.f64 y #s(literal 1/4 binary64))) (*.f64 y (+.f64 x #s(literal -1/2 binary64))))))
(fma.f64 (/.f64 (*.f64 y x) y) (/.f64 (*.f64 y x) (+.f64 x #s(literal 1/2 binary64))) (neg.f64 (/.f64 (*.f64 y (*.f64 y #s(literal 1/4 binary64))) (*.f64 y (+.f64 x #s(literal -1/2 binary64))))))
(fma.f64 (/.f64 (*.f64 x x) y) (/.f64 (*.f64 y y) (+.f64 x #s(literal 1/2 binary64))) (neg.f64 (/.f64 (*.f64 y (*.f64 y #s(literal 1/4 binary64))) (*.f64 y (+.f64 x #s(literal -1/2 binary64))))))
(fma.f64 (/.f64 (*.f64 y (*.f64 x x)) y) (/.f64 y (+.f64 x #s(literal 1/2 binary64))) (neg.f64 (/.f64 (*.f64 y (*.f64 y #s(literal 1/4 binary64))) (*.f64 y (+.f64 x #s(literal -1/2 binary64))))))
(fma.f64 (/.f64 (*.f64 y y) y) (/.f64 (*.f64 x x) (+.f64 x #s(literal 1/2 binary64))) (neg.f64 (/.f64 (*.f64 y (*.f64 y #s(literal 1/4 binary64))) (*.f64 y (+.f64 x #s(literal -1/2 binary64))))))
(fma.f64 (/.f64 (*.f64 y (*.f64 y x)) y) (/.f64 x (+.f64 x #s(literal 1/2 binary64))) (neg.f64 (/.f64 (*.f64 y (*.f64 y #s(literal 1/4 binary64))) (*.f64 y (+.f64 x #s(literal -1/2 binary64))))))
(fma.f64 (*.f64 y #s(literal -1 binary64)) x (*.f64 y #s(literal -1/2 binary64)))
(fma.f64 (*.f64 y #s(literal -1 binary64)) x (*.f64 y #s(literal 1/2 binary64)))
(neg.f64 (*.f64 y (+.f64 x #s(literal -1/2 binary64))))
(/.f64 (*.f64 (*.f64 y (*.f64 y y)) (fma.f64 x (*.f64 x x) #s(literal -1/8 binary64))) (fma.f64 (*.f64 y y) (fma.f64 x x #s(literal 1/4 binary64)) (*.f64 y (*.f64 #s(literal 1/2 binary64) (*.f64 y x)))))
(/.f64 (*.f64 (*.f64 y (*.f64 y y)) (fma.f64 x (*.f64 x x) #s(literal -1/8 binary64))) (fma.f64 y (*.f64 y #s(literal 1/4 binary64)) (*.f64 (*.f64 y x) (*.f64 y (+.f64 x #s(literal -1/2 binary64))))))
(/.f64 (*.f64 (*.f64 y (*.f64 y y)) (fma.f64 x (*.f64 x x) #s(literal -1/8 binary64))) (neg.f64 (fma.f64 y (*.f64 y #s(literal 1/4 binary64)) (*.f64 (*.f64 y x) (*.f64 y (+.f64 x #s(literal -1/2 binary64)))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal -1 binary64) (*.f64 y (+.f64 x #s(literal -1/2 binary64))))))
(/.f64 (*.f64 (*.f64 y y) (fma.f64 x x #s(literal -1/4 binary64))) (*.f64 y (+.f64 x #s(literal -1/2 binary64))))
(/.f64 (*.f64 (*.f64 y y) (fma.f64 x x #s(literal -1/4 binary64))) (-.f64 (*.f64 y x) (*.f64 y #s(literal 1/2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 y (+.f64 x #s(literal -1/2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) (*.f64 y (+.f64 x #s(literal -1/2 binary64)))) #s(literal 1 binary64)))
(/.f64 (-.f64 (*.f64 (*.f64 y (*.f64 y (*.f64 x x))) (*.f64 y (+.f64 x #s(literal -1/2 binary64)))) (*.f64 (*.f64 y (+.f64 x #s(literal -1/2 binary64))) (*.f64 y (*.f64 y #s(literal 1/4 binary64))))) (*.f64 (*.f64 y y) (fma.f64 x x #s(literal -1/4 binary64))))
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 y x) (*.f64 y (*.f64 y (*.f64 x x)))) (*.f64 (*.f64 y x) (*.f64 (*.f64 y (*.f64 y (*.f64 x x))) (*.f64 (*.f64 y x) (*.f64 y (*.f64 y (*.f64 x x)))))) (*.f64 (*.f64 (*.f64 y (*.f64 y y)) #s(literal -1/8 binary64)) (*.f64 #s(literal 1/64 binary64) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y)))))) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 y x) (*.f64 (*.f64 y (*.f64 y (*.f64 x x))) (*.f64 (*.f64 y x) (*.f64 y (*.f64 y (*.f64 x x))))) (*.f64 (*.f64 (*.f64 y (*.f64 y y)) #s(literal -1/8 binary64)) (-.f64 (*.f64 (*.f64 y (*.f64 y y)) #s(literal -1/8 binary64)) (*.f64 (*.f64 y x) (*.f64 y (*.f64 y (*.f64 x x))))))) (fma.f64 (*.f64 y y) (fma.f64 x x #s(literal 1/4 binary64)) (*.f64 y (*.f64 #s(literal 1/2 binary64) (*.f64 y x))))))
(/.f64 (*.f64 (*.f64 (*.f64 (*.f64 y (*.f64 y y)) (fma.f64 x (*.f64 x x) #s(literal -1/8 binary64))) (*.f64 (*.f64 y (*.f64 y y)) (fma.f64 x (*.f64 x x) #s(literal -1/8 binary64)))) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 y (*.f64 y y)) (fma.f64 x (*.f64 x x) #s(literal -1/8 binary64))) (fma.f64 (*.f64 y y) (fma.f64 x x #s(literal 1/4 binary64)) (*.f64 y (*.f64 #s(literal 1/2 binary64) (*.f64 y x))))))
(/.f64 (*.f64 (*.f64 (*.f64 (*.f64 y (*.f64 y y)) (fma.f64 x (*.f64 x x) #s(literal -1/8 binary64))) (*.f64 (*.f64 y (*.f64 y y)) (fma.f64 x (*.f64 x x) #s(literal -1/8 binary64)))) #s(literal 1 binary64)) (*.f64 (fma.f64 y (*.f64 (*.f64 y (*.f64 x x)) (*.f64 y (*.f64 y (*.f64 x x)))) (*.f64 (*.f64 y (*.f64 y #s(literal 1/4 binary64))) (*.f64 (*.f64 y y) (fma.f64 x x #s(literal -1/4 binary64))))) (*.f64 y (+.f64 x #s(literal -1/2 binary64)))))
(/.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) (fma.f64 x x #s(literal 1/4 binary64))) (*.f64 (*.f64 y y) (fma.f64 x x #s(literal -1/4 binary64)))) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 y y) (fma.f64 x x #s(literal 1/4 binary64))) (*.f64 y (+.f64 x #s(literal -1/2 binary64)))))
(/.f64 (-.f64 (*.f64 (*.f64 y (*.f64 y y)) #s(literal -1/8 binary64)) (*.f64 (*.f64 y x) (*.f64 y (*.f64 y (*.f64 x x))))) (fma.f64 y (*.f64 y #s(literal 1/4 binary64)) (*.f64 (*.f64 y x) (*.f64 y (+.f64 x #s(literal -1/2 binary64))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 y (*.f64 y (*.f64 x x))) (*.f64 y (+.f64 x #s(literal -1/2 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 y (*.f64 y #s(literal 1/4 binary64))) (*.f64 y (+.f64 x #s(literal -1/2 binary64)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 y (*.f64 y (*.f64 x x))) (*.f64 y (+.f64 x #s(literal -1/2 binary64)))) (/.f64 (*.f64 y (*.f64 y (*.f64 x x))) (*.f64 y (+.f64 x #s(literal -1/2 binary64)))) (fma.f64 (/.f64 (*.f64 y (*.f64 y #s(literal 1/4 binary64))) (*.f64 y (+.f64 x #s(literal -1/2 binary64)))) (/.f64 (*.f64 y (*.f64 y #s(literal 1/4 binary64))) (*.f64 y (+.f64 x #s(literal -1/2 binary64)))) (*.f64 (/.f64 (*.f64 y (*.f64 y (*.f64 x x))) (*.f64 y (+.f64 x #s(literal -1/2 binary64)))) (/.f64 (*.f64 y (*.f64 y #s(literal 1/4 binary64))) (*.f64 y (+.f64 x #s(literal -1/2 binary64))))))))
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 y (*.f64 y (*.f64 x x))) (*.f64 y (+.f64 x #s(literal -1/2 binary64)))) (/.f64 (*.f64 y (*.f64 y (*.f64 x x))) (*.f64 y (+.f64 x #s(literal -1/2 binary64))))) (*.f64 (/.f64 (*.f64 y (*.f64 y #s(literal 1/4 binary64))) (*.f64 y (+.f64 x #s(literal -1/2 binary64)))) (/.f64 (*.f64 y (*.f64 y #s(literal 1/4 binary64))) (*.f64 y (+.f64 x #s(literal -1/2 binary64)))))) (+.f64 (/.f64 (*.f64 y (*.f64 y (*.f64 x x))) (*.f64 y (+.f64 x #s(literal -1/2 binary64)))) (/.f64 (*.f64 y (*.f64 y #s(literal 1/4 binary64))) (*.f64 y (+.f64 x #s(literal -1/2 binary64))))))
(/.f64 (*.f64 y (fma.f64 x (*.f64 x x) #s(literal -1/8 binary64))) (-.f64 (fma.f64 x x #s(literal 1/4 binary64)) (*.f64 x #s(literal -1/2 binary64))))
(/.f64 (*.f64 y (fma.f64 x x #s(literal -1/4 binary64))) (+.f64 x #s(literal 1/2 binary64)))
(/.f64 (*.f64 (*.f64 (*.f64 y (*.f64 y y)) (fma.f64 x (*.f64 x x) #s(literal -1/8 binary64))) #s(literal 1 binary64)) (fma.f64 (*.f64 y y) (fma.f64 x x #s(literal 1/4 binary64)) (*.f64 y (*.f64 #s(literal 1/2 binary64) (*.f64 y x)))))
(/.f64 (*.f64 (*.f64 (*.f64 y y) (fma.f64 x x #s(literal -1/4 binary64))) #s(literal 1 binary64)) (*.f64 y (+.f64 x #s(literal -1/2 binary64))))
(pow.f64 (/.f64 #s(literal -1 binary64) (*.f64 y (+.f64 x #s(literal -1/2 binary64)))) #s(literal -1 binary64))
(*.f64 y (+.f64 x #s(literal -1/2 binary64)))
(*.f64 y (+.f64 x #s(literal 1/2 binary64)))
(*.f64 y (neg.f64 (+.f64 x #s(literal 1/2 binary64))))
(*.f64 y (-.f64 #s(literal -1/2 binary64) x))
(*.f64 (*.f64 (*.f64 y (*.f64 y y)) (fma.f64 x (*.f64 x x) #s(literal -1/8 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 y (*.f64 y #s(literal 1/4 binary64)) (*.f64 (*.f64 y x) (*.f64 y (+.f64 x #s(literal -1/2 binary64)))))))
(*.f64 (*.f64 (*.f64 y (*.f64 y y)) (fma.f64 x (*.f64 x x) #s(literal -1/8 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y #s(literal 1/4 binary64)) (*.f64 (*.f64 y x) (*.f64 y (+.f64 x #s(literal -1/2 binary64)))))))
(*.f64 (fma.f64 (*.f64 y y) (fma.f64 x x #s(literal 1/4 binary64)) (*.f64 y (*.f64 #s(literal 1/2 binary64) (*.f64 y x)))) (*.f64 (*.f64 y (+.f64 x #s(literal -1/2 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 y (*.f64 y #s(literal 1/4 binary64)) (*.f64 (*.f64 y x) (*.f64 y (+.f64 x #s(literal -1/2 binary64))))))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 x #s(literal -1/2 binary64))))
(*.f64 (*.f64 (*.f64 y y) (fma.f64 x x #s(literal -1/4 binary64))) (/.f64 #s(literal -1 binary64) (*.f64 y (+.f64 x #s(literal -1/2 binary64)))))
(*.f64 (*.f64 y (+.f64 x #s(literal -1/2 binary64))) (*.f64 (*.f64 y (+.f64 x #s(literal -1/2 binary64))) (/.f64 #s(literal -1 binary64) (*.f64 y (+.f64 x #s(literal -1/2 binary64))))))
(*.f64 (+.f64 x #s(literal -1/2 binary64)) y)
(*.f64 #s(literal 1 binary64) (*.f64 y (+.f64 x #s(literal -1/2 binary64))))
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 y (+.f64 x #s(literal -1/2 binary64)))) (/.f64 (*.f64 y (+.f64 x #s(literal -1/2 binary64))) (/.f64 #s(literal -1 binary64) (*.f64 y (+.f64 x #s(literal -1/2 binary64))))))
(*.f64 (neg.f64 y) (+.f64 x #s(literal 1/2 binary64)))
(*.f64 (/.f64 (*.f64 y (+.f64 x #s(literal -1/2 binary64))) y) (/.f64 (*.f64 y (+.f64 x #s(literal -1/2 binary64))) (+.f64 x #s(literal 1/2 binary64))))
(*.f64 (/.f64 (*.f64 y (+.f64 x #s(literal -1/2 binary64))) y) (/.f64 (*.f64 y (+.f64 x #s(literal -1/2 binary64))) (+.f64 x #s(literal -1/2 binary64))))
(*.f64 (/.f64 (*.f64 y (+.f64 x #s(literal -1/2 binary64))) (+.f64 x #s(literal -1/2 binary64))) (/.f64 (*.f64 y (+.f64 x #s(literal -1/2 binary64))) y))
(*.f64 (/.f64 (*.f64 y (+.f64 x #s(literal -1/2 binary64))) (*.f64 (*.f64 y (*.f64 y y)) (fma.f64 x (*.f64 x x) #s(literal -1/8 binary64)))) (/.f64 (*.f64 y (+.f64 x #s(literal -1/2 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 y (*.f64 y #s(literal 1/4 binary64)) (*.f64 (*.f64 y x) (*.f64 y (+.f64 x #s(literal -1/2 binary64))))))))
(-.f64 #s(literal 0 binary64) (*.f64 y #s(literal 1/2 binary64)))
(neg.f64 (*.f64 y #s(literal 1/2 binary64)))
(*.f64 y #s(literal -1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (neg.f64 y))
(*.f64 #s(literal -1/2 binary64) y)
(*.f64 #s(literal -1 binary64) (*.f64 y #s(literal 1/2 binary64)))
(*.f64 (neg.f64 y) #s(literal 1/2 binary64))

simplify192.0ms (2.4%)

Memory
-8.1MiB live, 229.0MiB allocated
Algorithm
1×egg-herbie
Rules
5 926×lower-fma.f64
5 926×lower-fma.f32
2 138×lower-*.f64
2 138×lower-*.f32
972×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
074605
1237605
2621605
31531605
44006605
55535605
67941605
08074568
Stop Event
1×iter limit
1×node limit
Counts
144 → 141
Calls
Call 1
Inputs
(- 918938533204673/1000000000000000 x)
(- (+ 918938533204673/1000000000000000 (* -1/2 y)) x)
(- (+ 918938533204673/1000000000000000 (* -1/2 y)) x)
(- (+ 918938533204673/1000000000000000 (* -1/2 y)) x)
(* -1/2 y)
(* y (- (* 918938533204673/1000000000000000 (/ 1 y)) (+ 1/2 (/ x y))))
(* y (- (* 918938533204673/1000000000000000 (/ 1 y)) (+ 1/2 (/ x y))))
(* y (- (* 918938533204673/1000000000000000 (/ 1 y)) (+ 1/2 (/ x y))))
(* -1/2 y)
(* -1 (* y (+ 1/2 (* -1 (/ (- 918938533204673/1000000000000000 x) y)))))
(* -1 (* y (+ 1/2 (* -1 (/ (- 918938533204673/1000000000000000 x) y)))))
(* -1 (* y (+ 1/2 (* -1 (/ (- 918938533204673/1000000000000000 x) y)))))
(- 918938533204673/1000000000000000 (* 1/2 y))
(- (+ 918938533204673/1000000000000000 (* -1 x)) (* 1/2 y))
(- (+ 918938533204673/1000000000000000 (* -1 x)) (* 1/2 y))
(- (+ 918938533204673/1000000000000000 (* -1 x)) (* 1/2 y))
(* -1 x)
(* x (- (* 918938533204673/1000000000000000 (/ 1 x)) (+ 1 (* 1/2 (/ y x)))))
(* x (- (* 918938533204673/1000000000000000 (/ 1 x)) (+ 1 (* 1/2 (/ y x)))))
(* x (- (* 918938533204673/1000000000000000 (/ 1 x)) (+ 1 (* 1/2 (/ y x)))))
(* -1 x)
(* -1 (* x (+ 1 (* -1 (/ (- 918938533204673/1000000000000000 (* 1/2 y)) x)))))
(* -1 (* x (+ 1 (* -1 (/ (- 918938533204673/1000000000000000 (* 1/2 y)) x)))))
(* -1 (* x (+ 1 (* -1 (/ (- 918938533204673/1000000000000000 (* 1/2 y)) x)))))
x
(+ x (* 1/2 y))
(+ x (* 1/2 y))
(+ x (* 1/2 y))
(* 1/2 y)
(* y (+ 1/2 (/ x y)))
(* y (+ 1/2 (/ x y)))
(* y (+ 1/2 (/ x y)))
(* 1/2 y)
(* -1 (* y (- (* -1 (/ x y)) 1/2)))
(* -1 (* y (- (* -1 (/ x y)) 1/2)))
(* -1 (* y (- (* -1 (/ x y)) 1/2)))
(* 1/2 y)
(+ x (* 1/2 y))
(+ x (* 1/2 y))
(+ x (* 1/2 y))
x
(* x (+ 1 (* 1/2 (/ y x))))
(* x (+ 1 (* 1/2 (/ y x))))
(* x (+ 1 (* 1/2 (/ y x))))
x
(* -1 (* x (- (* -1/2 (/ y x)) 1)))
(* -1 (* x (- (* -1/2 (/ y x)) 1)))
(* -1 (* x (- (* -1/2 (/ y x)) 1)))
(* x y)
(* x y)
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(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
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(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
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(* x y)
(* x y)
(* -1 x)
(- (* x y) x)
(- (* x y) x)
(- (* x y) x)
(* x y)
(* y (+ x (* -1 (/ x y))))
(* y (+ x (* -1 (/ x y))))
(* y (+ x (* -1 (/ x y))))
(* x y)
(* -1 (* y (+ (* -1 x) (/ x y))))
(* -1 (* y (+ (* -1 x) (/ x y))))
(* -1 (* y (+ (* -1 x) (/ x y))))
(* x (- y 1))
(* x (- y 1))
(* x (- y 1))
(* x (- y 1))
(* x (- y 1))
(* x (- y 1))
(* x (- y 1))
(* x (- y 1))
(* -1 (* x (+ 1 (* -1 y))))
(* -1 (* x (+ 1 (* -1 y))))
(* -1 (* x (+ 1 (* -1 y))))
(* -1 (* x (+ 1 (* -1 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)
(* y (- x 1/2))
(* y (- x 1/2))
(* y (- x 1/2))
(* y (- x 1/2))
(* y (- x 1/2))
(* y (- x 1/2))
(* y (- x 1/2))
(* y (- x 1/2))
(* -1 (* y (+ 1/2 (* -1 x))))
(* -1 (* y (+ 1/2 (* -1 x))))
(* -1 (* y (+ 1/2 (* -1 x))))
(* -1 (* y (+ 1/2 (* -1 x))))
(* -1/2 y)
(+ (* -1/2 y) (* x y))
(+ (* -1/2 y) (* x y))
(+ (* -1/2 y) (* x y))
(* x y)
(* x (+ y (* -1/2 (/ y x))))
(* x (+ y (* -1/2 (/ y x))))
(* x (+ y (* -1/2 (/ y x))))
(* x y)
(* -1 (* x (+ (* -1 y) (* 1/2 (/ y x)))))
(* -1 (* x (+ (* -1 y) (* 1/2 (/ y x)))))
(* -1 (* x (+ (* -1 y) (* 1/2 (/ y x)))))
(* -1/2 y)
(* -1/2 y)
(* -1/2 y)
(* -1/2 y)
(* -1/2 y)
(* -1/2 y)
(* -1/2 y)
(* -1/2 y)
(* -1/2 y)
(* -1/2 y)
(* -1/2 y)
(* -1/2 y)
Outputs
(- 918938533204673/1000000000000000 x)
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)
(- (+ 918938533204673/1000000000000000 (* -1/2 y)) x)
(-.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64)) x)
(- (+ 918938533204673/1000000000000000 (* -1/2 y)) x)
(-.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64)) x)
(- (+ 918938533204673/1000000000000000 (* -1/2 y)) x)
(-.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64)) x)
(* -1/2 y)
(*.f64 #s(literal -1/2 binary64) y)
(* y (- (* 918938533204673/1000000000000000 (/ 1 y)) (+ 1/2 (/ x y))))
(-.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64)) x)
(* y (- (* 918938533204673/1000000000000000 (/ 1 y)) (+ 1/2 (/ x y))))
(-.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64)) x)
(* y (- (* 918938533204673/1000000000000000 (/ 1 y)) (+ 1/2 (/ x y))))
(-.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64)) x)
(* -1/2 y)
(*.f64 #s(literal -1/2 binary64) y)
(* -1 (* y (+ 1/2 (* -1 (/ (- 918938533204673/1000000000000000 x) y)))))
(-.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64)) x)
(* -1 (* y (+ 1/2 (* -1 (/ (- 918938533204673/1000000000000000 x) y)))))
(-.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64)) x)
(* -1 (* y (+ 1/2 (* -1 (/ (- 918938533204673/1000000000000000 x) y)))))
(-.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64)) x)
(- 918938533204673/1000000000000000 (* 1/2 y))
(fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64))
(- (+ 918938533204673/1000000000000000 (* -1 x)) (* 1/2 y))
(-.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64)) x)
(- (+ 918938533204673/1000000000000000 (* -1 x)) (* 1/2 y))
(-.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64)) x)
(- (+ 918938533204673/1000000000000000 (* -1 x)) (* 1/2 y))
(-.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64)) x)
(* -1 x)
(neg.f64 x)
(* x (- (* 918938533204673/1000000000000000 (/ 1 x)) (+ 1 (* 1/2 (/ y x)))))
(-.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64)) x)
(* x (- (* 918938533204673/1000000000000000 (/ 1 x)) (+ 1 (* 1/2 (/ y x)))))
(-.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64)) x)
(* x (- (* 918938533204673/1000000000000000 (/ 1 x)) (+ 1 (* 1/2 (/ y x)))))
(-.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64)) x)
(* -1 x)
(neg.f64 x)
(* -1 (* x (+ 1 (* -1 (/ (- 918938533204673/1000000000000000 (* 1/2 y)) x)))))
(-.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64)) x)
(* -1 (* x (+ 1 (* -1 (/ (- 918938533204673/1000000000000000 (* 1/2 y)) x)))))
(-.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64)) x)
(* -1 (* x (+ 1 (* -1 (/ (- 918938533204673/1000000000000000 (* 1/2 y)) x)))))
(-.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64)) x)
x
(+ x (* 1/2 y))
(fma.f64 y #s(literal 1/2 binary64) x)
(+ x (* 1/2 y))
(fma.f64 y #s(literal 1/2 binary64) x)
(+ x (* 1/2 y))
(fma.f64 y #s(literal 1/2 binary64) x)
(* 1/2 y)
(*.f64 y #s(literal 1/2 binary64))
(* y (+ 1/2 (/ x y)))
(fma.f64 y #s(literal 1/2 binary64) x)
(* y (+ 1/2 (/ x y)))
(fma.f64 y #s(literal 1/2 binary64) x)
(* y (+ 1/2 (/ x y)))
(fma.f64 y #s(literal 1/2 binary64) x)
(* 1/2 y)
(*.f64 y #s(literal 1/2 binary64))
(* -1 (* y (- (* -1 (/ x y)) 1/2)))
(fma.f64 y #s(literal 1/2 binary64) x)
(* -1 (* y (- (* -1 (/ x y)) 1/2)))
(fma.f64 y #s(literal 1/2 binary64) x)
(* -1 (* y (- (* -1 (/ x y)) 1/2)))
(fma.f64 y #s(literal 1/2 binary64) x)
(* 1/2 y)
(*.f64 y #s(literal 1/2 binary64))
(+ x (* 1/2 y))
(fma.f64 y #s(literal 1/2 binary64) x)
(+ x (* 1/2 y))
(fma.f64 y #s(literal 1/2 binary64) x)
(+ x (* 1/2 y))
(fma.f64 y #s(literal 1/2 binary64) x)
x
(* x (+ 1 (* 1/2 (/ y x))))
(fma.f64 y #s(literal 1/2 binary64) x)
(* x (+ 1 (* 1/2 (/ y x))))
(fma.f64 y #s(literal 1/2 binary64) x)
(* x (+ 1 (* 1/2 (/ y x))))
(fma.f64 y #s(literal 1/2 binary64) x)
x
(* -1 (* x (- (* -1/2 (/ y x)) 1)))
(fma.f64 y #s(literal 1/2 binary64) x)
(* -1 (* x (- (* -1/2 (/ y x)) 1)))
(fma.f64 y #s(literal 1/2 binary64) x)
(* -1 (* x (- (* -1/2 (/ y x)) 1)))
(fma.f64 y #s(literal 1/2 binary64) x)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* -1 x)
(neg.f64 x)
(- (* x y) x)
(-.f64 (*.f64 x y) x)
(- (* x y) x)
(-.f64 (*.f64 x y) x)
(- (* x y) x)
(-.f64 (*.f64 x y) x)
(* x y)
(*.f64 x y)
(* y (+ x (* -1 (/ x y))))
(-.f64 (*.f64 x y) x)
(* y (+ x (* -1 (/ x y))))
(-.f64 (*.f64 x y) x)
(* y (+ x (* -1 (/ x y))))
(-.f64 (*.f64 x y) x)
(* x y)
(*.f64 x y)
(* -1 (* y (+ (* -1 x) (/ x y))))
(-.f64 (*.f64 x y) x)
(* -1 (* y (+ (* -1 x) (/ x y))))
(-.f64 (*.f64 x y) x)
(* -1 (* y (+ (* -1 x) (/ x y))))
(-.f64 (*.f64 x y) x)
(* x (- y 1))
(-.f64 (*.f64 x y) x)
(* x (- y 1))
(-.f64 (*.f64 x y) x)
(* x (- y 1))
(-.f64 (*.f64 x y) x)
(* x (- y 1))
(-.f64 (*.f64 x y) x)
(* x (- y 1))
(-.f64 (*.f64 x y) x)
(* x (- y 1))
(-.f64 (*.f64 x y) x)
(* x (- y 1))
(-.f64 (*.f64 x y) x)
(* x (- y 1))
(-.f64 (*.f64 x y) x)
(* -1 (* x (+ 1 (* -1 y))))
(-.f64 (*.f64 x y) x)
(* -1 (* x (+ 1 (* -1 y))))
(-.f64 (*.f64 x y) x)
(* -1 (* x (+ 1 (* -1 y))))
(-.f64 (*.f64 x y) x)
(* -1 (* x (+ 1 (* -1 y))))
(-.f64 (*.f64 x y) 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 x)
(neg.f64 x)
(* y (- x 1/2))
(*.f64 y (+.f64 x #s(literal -1/2 binary64)))
(* y (- x 1/2))
(*.f64 y (+.f64 x #s(literal -1/2 binary64)))
(* y (- x 1/2))
(*.f64 y (+.f64 x #s(literal -1/2 binary64)))
(* y (- x 1/2))
(*.f64 y (+.f64 x #s(literal -1/2 binary64)))
(* y (- x 1/2))
(*.f64 y (+.f64 x #s(literal -1/2 binary64)))
(* y (- x 1/2))
(*.f64 y (+.f64 x #s(literal -1/2 binary64)))
(* y (- x 1/2))
(*.f64 y (+.f64 x #s(literal -1/2 binary64)))
(* y (- x 1/2))
(*.f64 y (+.f64 x #s(literal -1/2 binary64)))
(* -1 (* y (+ 1/2 (* -1 x))))
(*.f64 y (+.f64 x #s(literal -1/2 binary64)))
(* -1 (* y (+ 1/2 (* -1 x))))
(*.f64 y (+.f64 x #s(literal -1/2 binary64)))
(* -1 (* y (+ 1/2 (* -1 x))))
(*.f64 y (+.f64 x #s(literal -1/2 binary64)))
(* -1 (* y (+ 1/2 (* -1 x))))
(*.f64 y (+.f64 x #s(literal -1/2 binary64)))
(* -1/2 y)
(*.f64 #s(literal -1/2 binary64) y)
(+ (* -1/2 y) (* x y))
(*.f64 y (+.f64 x #s(literal -1/2 binary64)))
(+ (* -1/2 y) (* x y))
(*.f64 y (+.f64 x #s(literal -1/2 binary64)))
(+ (* -1/2 y) (* x y))
(*.f64 y (+.f64 x #s(literal -1/2 binary64)))
(* x y)
(*.f64 x y)
(* x (+ y (* -1/2 (/ y x))))
(*.f64 y (+.f64 x #s(literal -1/2 binary64)))
(* x (+ y (* -1/2 (/ y x))))
(*.f64 y (+.f64 x #s(literal -1/2 binary64)))
(* x (+ y (* -1/2 (/ y x))))
(*.f64 y (+.f64 x #s(literal -1/2 binary64)))
(* x y)
(*.f64 x y)
(* -1 (* x (+ (* -1 y) (* 1/2 (/ y x)))))
(*.f64 y (+.f64 x #s(literal -1/2 binary64)))
(* -1 (* x (+ (* -1 y) (* 1/2 (/ y x)))))
(*.f64 y (+.f64 x #s(literal -1/2 binary64)))
(* -1 (* x (+ (* -1 y) (* 1/2 (/ y x)))))
(*.f64 y (+.f64 x #s(literal -1/2 binary64)))
(* -1/2 y)
(*.f64 #s(literal -1/2 binary64) y)
(* -1/2 y)
(*.f64 #s(literal -1/2 binary64) y)
(* -1/2 y)
(*.f64 #s(literal -1/2 binary64) y)
(* -1/2 y)
(*.f64 #s(literal -1/2 binary64) y)
(* -1/2 y)
(*.f64 #s(literal -1/2 binary64) y)
(* -1/2 y)
(*.f64 #s(literal -1/2 binary64) y)
(* -1/2 y)
(*.f64 #s(literal -1/2 binary64) y)
(* -1/2 y)
(*.f64 #s(literal -1/2 binary64) y)
(* -1/2 y)
(*.f64 #s(literal -1/2 binary64) y)
(* -1/2 y)
(*.f64 #s(literal -1/2 binary64) y)
(* -1/2 y)
(*.f64 #s(literal -1/2 binary64) y)
(* -1/2 y)
(*.f64 #s(literal -1/2 binary64) y)

eval62.0ms (0.8%)

Memory
-13.6MiB live, 100.0MiB allocated
Compiler

Compiled 8 049 to 930 computations (88.4% saved)

prune52.0ms (0.7%)

Memory
22.6MiB live, 100.2MiB allocated
Pruning

13 alts after pruning (4 fresh and 9 done)

PrunedKeptTotal
New5371538
Fresh033
Picked055
Done044
Total53713550
Accuracy
100.0%
Counts
550 → 13
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓49.9%
(fma.f64 y x (*.f64 y #s(literal -1/2 binary64)))
✓49.9%
(fma.f64 y x (neg.f64 x))
✓51.1%
(fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64))
✓100.0%
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x))
▶73.1%
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y (neg.f64 x) x))
✓77.7%
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y #s(literal 1/2 binary64) x))
✓51.1%
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)
▶2.7%
(*.f64 (neg.f64 y) x)
✓49.9%
(*.f64 y (+.f64 #s(literal -1/2 binary64) x))
▶29.1%
(*.f64 y #s(literal -1/2 binary64))
✓23.6%
(*.f64 x y)
▶27.9%
(neg.f64 x)
✓24.4%
#s(literal 918938533204673/1000000000000000 binary64)
Compiler

Compiled 83 to 59 computations (28.9% saved)

simplify27.0ms (0.3%)

Memory
-14.2MiB live, 29.5MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 7 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(neg.f64 x)
✓cost-diff0
(fma.f64 y (neg.f64 x) x)
✓cost-diff128
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y (neg.f64 x) x))
✓cost-diff0
(neg.f64 y)
✓cost-diff0
(*.f64 (neg.f64 y) x)
✓cost-diff0
(*.f64 y #s(literal -1/2 binary64))
✓cost-diff0
(neg.f64 x)
Rules
416×lower-fma.f32
414×lower-fma.f64
192×lower-*.f32
188×lower-*.f64
128×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01033
01733
13333
27033
316333
434033
546433
650733
758633
859433
059432
Stop Event
1×iter limit
1×saturated
1×iter limit
Calls
Call 1
Inputs
(neg.f64 x)
x
(*.f64 y #s(literal -1/2 binary64))
y
#s(literal -1/2 binary64)
(*.f64 (neg.f64 y) x)
(neg.f64 y)
y
x
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y (neg.f64 x) x))
#s(literal 918938533204673/1000000000000000 binary64)
(fma.f64 y (neg.f64 x) x)
y
(neg.f64 x)
x
Outputs
(neg.f64 x)
x
(*.f64 y #s(literal -1/2 binary64))
y
#s(literal -1/2 binary64)
(*.f64 (neg.f64 y) x)
(*.f64 x (neg.f64 y))
(neg.f64 y)
y
x
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y (neg.f64 x) x))
(-.f64 (fma.f64 x y #s(literal 918938533204673/1000000000000000 binary64)) x)
#s(literal 918938533204673/1000000000000000 binary64)
(fma.f64 y (neg.f64 x) x)
(-.f64 x (*.f64 x y))
y
(neg.f64 x)
x

localize37.0ms (0.5%)

Memory
12.4MiB live, 50.4MiB allocated
Localize:

Found 7 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(fma.f64 y (neg.f64 x) x)
✓accuracy100.0%
(neg.f64 x)
✓accuracy100.0%
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y (neg.f64 x) x))
✓accuracy100.0%
(*.f64 (neg.f64 y) x)
✓accuracy100.0%
(neg.f64 y)
✓accuracy100.0%
(*.f64 y #s(literal -1/2 binary64))
✓accuracy100.0%
(neg.f64 x)
Samples
26.0ms256×0valid
Compiler

Compiled 37 to 13 computations (64.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 16.0ms
ival-mult: 5.0ms (32.1% of total)
const: 4.0ms (25.7% of total)
ival-neg: 4.0ms (25.7% of total)
ival-sub: 1.0ms (6.4% of total)
ival-add: 1.0ms (6.4% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series3.0ms (0%)

Memory
4.0MiB live, 4.0MiB allocated
Counts
6 → 108
Calls
Call 1
Inputs
#<alt (neg.f64 x)>
#<alt (*.f64 y #s(literal -1/2 binary64))>
#<alt (*.f64 (neg.f64 y) x)>
#<alt (neg.f64 y)>
#<alt (-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y (neg.f64 x) x))>
#<alt (fma.f64 y (neg.f64 x) x)>
Outputs
#<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)>
#<alt (* -1/2 y)>
#<alt (* -1/2 y)>
#<alt (* -1/2 y)>
#<alt (* -1/2 y)>
#<alt (* -1/2 y)>
#<alt (* -1/2 y)>
#<alt (* -1/2 y)>
#<alt (* -1/2 y)>
#<alt (* -1/2 y)>
#<alt (* -1/2 y)>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (- 918938533204673/1000000000000000 x)>
#<alt (- (+ 918938533204673/1000000000000000 (* x y)) x)>
#<alt (- (+ 918938533204673/1000000000000000 (* x y)) x)>
#<alt (- (+ 918938533204673/1000000000000000 (* x y)) x)>
#<alt (* x y)>
#<alt (* y (- (* 918938533204673/1000000000000000 (/ 1 y)) (+ (* -1 x) (/ x y))))>
#<alt (* y (- (* 918938533204673/1000000000000000 (/ 1 y)) (+ (* -1 x) (/ x y))))>
#<alt (* y (- (* 918938533204673/1000000000000000 (/ 1 y)) (+ (* -1 x) (/ x y))))>
#<alt (* x y)>
#<alt (* -1 (* y (- (* -1 (/ (- 918938533204673/1000000000000000 x) y)) x)))>
#<alt (* -1 (* y (- (* -1 (/ (- 918938533204673/1000000000000000 x) y)) x)))>
#<alt (* -1 (* y (- (* -1 (/ (- 918938533204673/1000000000000000 x) y)) x)))>
#<alt 918938533204673/1000000000000000>
#<alt (+ 918938533204673/1000000000000000 (* -1 (* x (+ 1 (* -1 y)))))>
#<alt (+ 918938533204673/1000000000000000 (* -1 (* x (+ 1 (* -1 y)))))>
#<alt (+ 918938533204673/1000000000000000 (* -1 (* x (+ 1 (* -1 y)))))>
#<alt (* -1 (* x (+ 1 (* -1 y))))>
#<alt (* x (- (* 918938533204673/1000000000000000 (/ 1 x)) (+ 1 (* -1 y))))>
#<alt (* x (- (* 918938533204673/1000000000000000 (/ 1 x)) (+ 1 (* -1 y))))>
#<alt (* x (- (* 918938533204673/1000000000000000 (/ 1 x)) (+ 1 (* -1 y))))>
#<alt (* -1 (* x (- 1 y)))>
#<alt (* -1 (* x (- 1 (+ y (* 918938533204673/1000000000000000 (/ 1 x))))))>
#<alt (* -1 (* x (- 1 (+ y (* 918938533204673/1000000000000000 (/ 1 x))))))>
#<alt (* -1 (* x (- 1 (+ y (* 918938533204673/1000000000000000 (/ 1 x))))))>
#<alt x>
#<alt (+ x (* -1 (* x y)))>
#<alt (+ x (* -1 (* x y)))>
#<alt (+ x (* -1 (* x y)))>
#<alt (* -1 (* x y))>
#<alt (* y (+ (* -1 x) (/ x y)))>
#<alt (* y (+ (* -1 x) (/ x y)))>
#<alt (* y (+ (* -1 x) (/ x y)))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* y (+ x (* -1 (/ x y)))))>
#<alt (* -1 (* y (+ x (* -1 (/ x y)))))>
#<alt (* -1 (* y (+ x (* -1 (/ x y)))))>
#<alt (* x (+ 1 (* -1 y)))>
#<alt (* x (+ 1 (* -1 y)))>
#<alt (* x (+ 1 (* -1 y)))>
#<alt (* x (+ 1 (* -1 y)))>
#<alt (* x (+ 1 (* -1 y)))>
#<alt (* x (+ 1 (* -1 y)))>
#<alt (* x (+ 1 (* -1 y)))>
#<alt (* x (+ 1 (* -1 y)))>
#<alt (* -1 (* x (- y 1)))>
#<alt (* -1 (* x (- y 1)))>
#<alt (* -1 (* x (- y 1)))>
#<alt (* -1 (* x (- y 1)))>
Calls

27 calls:

TimeVariablePointExpression
0.0ms
y
@0
(* (neg y) x)
0.0ms
x
@0
(* (neg y) x)
0.0ms
y
@-inf
(- 918938533204673/1000000000000000 (+ (* y (neg x)) x))
0.0ms
y
@0
(- 918938533204673/1000000000000000 (+ (* y (neg x)) x))
0.0ms
y
@inf
(- 918938533204673/1000000000000000 (+ (* y (neg x)) x))

rewrite289.0ms (3.7%)

Memory
5.2MiB live, 350.1MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
5 954×lower-fma.f32
5 952×lower-fma.f64
3 932×lower-*.f32
3 928×lower-*.f64
2 780×lower-/.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01023
01723
16023
243423
3647623
0802222
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
6 → 266
Calls
Call 1
Inputs
(neg.f64 x)
(*.f64 y #s(literal -1/2 binary64))
(*.f64 (neg.f64 y) x)
(neg.f64 y)
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y (neg.f64 x) x))
(fma.f64 y (neg.f64 x) x)
Outputs
(+.f64 (neg.f64 x) #s(literal 0 binary64))
(+.f64 #s(literal 0 binary64) (neg.f64 x))
(-.f64 #s(literal 0 binary64) x)
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 x x)) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)))
(-.f64 (/.f64 #s(literal 0 binary64) x) x)
(fma.f64 x #s(literal -1 binary64) #s(literal 0 binary64))
(fma.f64 #s(literal -1 binary64) x #s(literal 0 binary64))
(fma.f64 (neg.f64 (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 0 binary64))
(fma.f64 (*.f64 x (neg.f64 x)) (/.f64 #s(literal 1 binary64) x) #s(literal 0 binary64))
(neg.f64 x)
(/.f64 (*.f64 x x) (neg.f64 x))
(/.f64 (neg.f64 (*.f64 x (*.f64 x x))) (*.f64 x x))
(/.f64 (neg.f64 (*.f64 x (*.f64 x x))) (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 x x) (*.f64 #s(literal 0 binary64) (neg.f64 x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) (neg.f64 (*.f64 x (*.f64 x x)))))
(/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 x (neg.f64 x))))
(/.f64 (*.f64 x (neg.f64 x)) x)
(/.f64 (neg.f64 (neg.f64 (*.f64 x (*.f64 x x)))) (*.f64 x (neg.f64 x)))
(*.f64 x #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) x)
(*.f64 (neg.f64 (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(*.f64 (*.f64 x (neg.f64 x)) (/.f64 #s(literal 1 binary64) x))
(*.f64 y #s(literal -1/2 binary64))
(*.f64 #s(literal -1/2 binary64) y)
(+.f64 #s(literal 0 binary64) (*.f64 x (neg.f64 y)))
(-.f64 #s(literal 0 binary64) (*.f64 x y))
(neg.f64 (*.f64 x y))
(/.f64 (*.f64 (neg.f64 x) (*.f64 y (*.f64 x (*.f64 y (*.f64 x y))))) (+.f64 #s(literal 0 binary64) (fma.f64 x (*.f64 y (*.f64 x y)) (*.f64 #s(literal 0 binary64) (*.f64 x y)))))
(/.f64 (*.f64 y (*.f64 x (neg.f64 x))) x)
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 y (*.f64 x y)))) (+.f64 #s(literal 0 binary64) (*.f64 x y)))
(/.f64 (*.f64 (neg.f64 (*.f64 y (*.f64 y y))) x) (*.f64 y y))
(/.f64 (*.f64 x (neg.f64 (*.f64 y (*.f64 y y)))) (*.f64 y y))
(/.f64 (*.f64 x (neg.f64 (*.f64 y y))) y)
(/.f64 (*.f64 y (neg.f64 (*.f64 x (*.f64 x x)))) (*.f64 x x))
(/.f64 (*.f64 (neg.f64 (*.f64 x (*.f64 x x))) y) (*.f64 x x))
(/.f64 (*.f64 (neg.f64 (*.f64 y y)) x) y)
(*.f64 x (neg.f64 y))
(*.f64 (neg.f64 x) y)
(*.f64 y (neg.f64 x))
(*.f64 (neg.f64 y) x)
(*.f64 #s(literal -1 binary64) (*.f64 x y))
(*.f64 (*.f64 x y) #s(literal -1 binary64))
(+.f64 (neg.f64 y) #s(literal 0 binary64))
(+.f64 #s(literal 0 binary64) (neg.f64 y))
(-.f64 #s(literal 0 binary64) y)
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 y y)) (/.f64 (*.f64 y (*.f64 y y)) (*.f64 y y)))
(-.f64 (/.f64 #s(literal 0 binary64) y) (/.f64 (*.f64 y y) y))
(fma.f64 y #s(literal -1 binary64) #s(literal 0 binary64))
(fma.f64 #s(literal -1 binary64) y #s(literal 0 binary64))
(fma.f64 (neg.f64 (*.f64 y (*.f64 y y))) (/.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal 0 binary64))
(fma.f64 (neg.f64 (*.f64 y y)) (/.f64 #s(literal 1 binary64) y) #s(literal 0 binary64))
(neg.f64 y)
(/.f64 (neg.f64 (*.f64 y (*.f64 y y))) (*.f64 y y))
(/.f64 (neg.f64 (*.f64 y (*.f64 y y))) (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 y y) (*.f64 #s(literal 0 binary64) (neg.f64 y)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y y) (neg.f64 (*.f64 y (*.f64 y y)))))
(/.f64 #s(literal 1 binary64) (/.f64 y (neg.f64 (*.f64 y y))))
(/.f64 (neg.f64 (*.f64 y y)) y)
(/.f64 (neg.f64 (neg.f64 (*.f64 y (*.f64 y y)))) (neg.f64 (*.f64 y y)))
(/.f64 (neg.f64 (neg.f64 (*.f64 y y))) (neg.f64 y))
(*.f64 y #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) y)
(*.f64 (neg.f64 (*.f64 y (*.f64 y y))) (/.f64 #s(literal 1 binary64) (*.f64 y y)))
(*.f64 (neg.f64 (*.f64 y y)) (/.f64 #s(literal 1 binary64) y))
(+.f64 (neg.f64 x) (fma.f64 x y #s(literal 918938533204673/1000000000000000 binary64)))
(+.f64 #s(literal 918938533204673/1000000000000000 binary64) (-.f64 (*.f64 x y) x))
(+.f64 (-.f64 (*.f64 x y) x) #s(literal 918938533204673/1000000000000000 binary64))
(+.f64 (*.f64 x y) (+.f64 (neg.f64 x) #s(literal 918938533204673/1000000000000000 binary64)))
(+.f64 (fma.f64 x y #s(literal 918938533204673/1000000000000000 binary64)) (neg.f64 x))
(+.f64 (/.f64 #s(literal 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 binary64) (fma.f64 (-.f64 x (*.f64 x y)) (+.f64 x (-.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 x y))) #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64))) (neg.f64 (/.f64 (*.f64 (-.f64 x (*.f64 x y)) (*.f64 (-.f64 x (*.f64 x y)) (-.f64 x (*.f64 x y)))) (fma.f64 (-.f64 x (*.f64 x y)) (+.f64 x (-.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 x y))) #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64)))))
(+.f64 (/.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (+.f64 x (-.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 x y)))) (neg.f64 (/.f64 (*.f64 (-.f64 x (*.f64 x y)) (-.f64 x (*.f64 x y))) (+.f64 x (-.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 x y))))))
(+.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) (*.f64 x y))
(+.f64 (+.f64 (fma.f64 x y #s(literal 918938533204673/1000000000000000 binary64)) #s(literal 0 binary64)) (neg.f64 x))
(+.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) (/.f64 (*.f64 x (*.f64 y (*.f64 x y))) (neg.f64 (fma.f64 x y x)))) (/.f64 (*.f64 x x) (neg.f64 (fma.f64 x y x))))
(+.f64 (-.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) #s(literal 0 binary64)) (*.f64 x y))
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (-.f64 x (*.f64 x y)))
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (-.f64 (*.f64 x (neg.f64 y)) (neg.f64 x)))
(-.f64 #s(literal 0 binary64) (-.f64 (-.f64 x (*.f64 x y)) #s(literal 918938533204673/1000000000000000 binary64)))
(-.f64 (fma.f64 x y #s(literal 918938533204673/1000000000000000 binary64)) x)
(-.f64 (/.f64 #s(literal 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 binary64) (fma.f64 (-.f64 x (*.f64 x y)) (+.f64 x (-.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 x y))) #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64))) (/.f64 (*.f64 (-.f64 x (*.f64 x y)) (*.f64 (-.f64 x (*.f64 x y)) (-.f64 x (*.f64 x y)))) (fma.f64 (-.f64 x (*.f64 x y)) (+.f64 x (-.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 x y))) #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64))))
(-.f64 (/.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (+.f64 x (-.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 x y)))) (/.f64 (*.f64 (-.f64 x (*.f64 x y)) (-.f64 x (*.f64 x y))) (+.f64 x (-.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 x y)))))
(-.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) (*.f64 x (neg.f64 y)))
(-.f64 (/.f64 (*.f64 (fma.f64 x y #s(literal 918938533204673/1000000000000000 binary64)) (*.f64 (fma.f64 x y #s(literal 918938533204673/1000000000000000 binary64)) (fma.f64 x y #s(literal 918938533204673/1000000000000000 binary64)))) (fma.f64 x (+.f64 x (fma.f64 x y #s(literal 918938533204673/1000000000000000 binary64))) (*.f64 (fma.f64 x y #s(literal 918938533204673/1000000000000000 binary64)) (fma.f64 x y #s(literal 918938533204673/1000000000000000 binary64))))) (/.f64 (*.f64 x (*.f64 x x)) (fma.f64 x (+.f64 x (fma.f64 x y #s(literal 918938533204673/1000000000000000 binary64))) (*.f64 (fma.f64 x y #s(literal 918938533204673/1000000000000000 binary64)) (fma.f64 x y #s(literal 918938533204673/1000000000000000 binary64))))))
(-.f64 (/.f64 (*.f64 (fma.f64 x y #s(literal 918938533204673/1000000000000000 binary64)) (fma.f64 x y #s(literal 918938533204673/1000000000000000 binary64))) (+.f64 x (fma.f64 x y #s(literal 918938533204673/1000000000000000 binary64)))) (/.f64 (*.f64 x x) (+.f64 x (fma.f64 x y #s(literal 918938533204673/1000000000000000 binary64)))))
(-.f64 (+.f64 (fma.f64 x y #s(literal 918938533204673/1000000000000000 binary64)) #s(literal 0 binary64)) x)
(fma.f64 x y (+.f64 (neg.f64 x) #s(literal 918938533204673/1000000000000000 binary64)))
(fma.f64 x #s(literal -1 binary64) (fma.f64 x y #s(literal 918938533204673/1000000000000000 binary64)))
(fma.f64 (neg.f64 x) (neg.f64 y) (+.f64 (neg.f64 x) #s(literal 918938533204673/1000000000000000 binary64)))
(fma.f64 y x (+.f64 (neg.f64 x) #s(literal 918938533204673/1000000000000000 binary64)))
(fma.f64 (neg.f64 y) (neg.f64 x) (+.f64 (neg.f64 x) #s(literal 918938533204673/1000000000000000 binary64)))
(fma.f64 (-.f64 x (*.f64 x y)) #s(literal -1 binary64) #s(literal 918938533204673/1000000000000000 binary64))
(fma.f64 (-.f64 x (*.f64 x y)) (/.f64 (neg.f64 (fma.f64 x y x)) (fma.f64 x y x)) #s(literal 918938533204673/1000000000000000 binary64))
(fma.f64 (*.f64 x (neg.f64 y)) #s(literal -1 binary64) (+.f64 (neg.f64 x) #s(literal 918938533204673/1000000000000000 binary64)))
(fma.f64 (*.f64 (fma.f64 (neg.f64 y) (*.f64 y y) #s(literal 1 binary64)) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 x (fma.f64 x (*.f64 y y) (+.f64 x (*.f64 x y)))))) #s(literal 918938533204673/1000000000000000 binary64))
(fma.f64 (*.f64 (fma.f64 (neg.f64 y) (*.f64 y y) #s(literal 1 binary64)) (*.f64 x (*.f64 x x))) (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x (*.f64 y y) (+.f64 x (*.f64 x y)))))) #s(literal 918938533204673/1000000000000000 binary64))
(fma.f64 (*.f64 x (fma.f64 x (*.f64 y y) (+.f64 x (*.f64 x y)))) (/.f64 (-.f64 x (*.f64 x y)) (neg.f64 (*.f64 x (fma.f64 x (*.f64 y y) (+.f64 x (*.f64 x y)))))) #s(literal 918938533204673/1000000000000000 binary64))
(fma.f64 #s(literal 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 x (*.f64 x y)) (+.f64 x (-.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 x y))) #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64))) (neg.f64 (/.f64 (*.f64 (-.f64 x (*.f64 x y)) (*.f64 (-.f64 x (*.f64 x y)) (-.f64 x (*.f64 x y)))) (fma.f64 (-.f64 x (*.f64 x y)) (+.f64 x (-.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 x y))) #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64)))))
(fma.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x (-.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 x y)))) (neg.f64 (/.f64 (*.f64 (-.f64 x (*.f64 x y)) (-.f64 x (*.f64 x y))) (+.f64 x (-.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 x y))))))
(fma.f64 #s(literal -1 binary64) x (fma.f64 x y #s(literal 918938533204673/1000000000000000 binary64)))
(fma.f64 #s(literal -1 binary64) (-.f64 x (*.f64 x y)) #s(literal 918938533204673/1000000000000000 binary64))
(fma.f64 #s(literal -1 binary64) (*.f64 x (neg.f64 y)) (+.f64 (neg.f64 x) #s(literal 918938533204673/1000000000000000 binary64)))
(fma.f64 (*.f64 x (-.f64 (*.f64 y (*.f64 x y)) x)) (/.f64 #s(literal 1 binary64) (fma.f64 x y x)) #s(literal 918938533204673/1000000000000000 binary64))
(fma.f64 (*.f64 x (-.f64 (*.f64 y (*.f64 x y)) x)) (neg.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x y x))) #s(literal 918938533204673/1000000000000000 binary64))
(fma.f64 (neg.f64 (*.f64 (fma.f64 (neg.f64 y) (*.f64 y y) #s(literal 1 binary64)) (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x (*.f64 y y) (+.f64 x (*.f64 x y))))) #s(literal 918938533204673/1000000000000000 binary64))
(fma.f64 (*.f64 (-.f64 x (*.f64 x y)) (fma.f64 x y x)) (/.f64 #s(literal -1 binary64) (fma.f64 x y x)) #s(literal 918938533204673/1000000000000000 binary64))
(fma.f64 (neg.f64 (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (*.f64 x x)) (fma.f64 x y #s(literal 918938533204673/1000000000000000 binary64)))
(fma.f64 (+.f64 #s(literal 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y)))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x (neg.f64 y)) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 x y)) #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64))) (neg.f64 x))
(fma.f64 #s(literal 1 binary64) (*.f64 x y) (+.f64 (neg.f64 x) #s(literal 918938533204673/1000000000000000 binary64)))
(fma.f64 (*.f64 x (neg.f64 x)) (/.f64 #s(literal 1 binary64) x) (fma.f64 x y #s(literal 918938533204673/1000000000000000 binary64)))
(fma.f64 (-.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (*.f64 x (*.f64 y (*.f64 x y)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 x y))) (neg.f64 x))
(fma.f64 (+.f64 (neg.f64 y) #s(literal 1 binary64)) (neg.f64 x) #s(literal 918938533204673/1000000000000000 binary64))
(fma.f64 (neg.f64 (+.f64 (neg.f64 y) #s(literal 1 binary64))) x #s(literal 918938533204673/1000000000000000 binary64))
(fma.f64 (*.f64 #s(literal -1 binary64) (+.f64 (neg.f64 y) #s(literal 1 binary64))) x #s(literal 918938533204673/1000000000000000 binary64))
(fma.f64 (/.f64 (neg.f64 (*.f64 (fma.f64 (neg.f64 y) (*.f64 y y) #s(literal 1 binary64)) (*.f64 x (*.f64 x x)))) (fma.f64 (*.f64 x (*.f64 y (*.f64 x y))) (*.f64 (*.f64 x (*.f64 y (*.f64 x y))) (*.f64 x (*.f64 y (*.f64 x y)))) (*.f64 (*.f64 x (+.f64 x (*.f64 x y))) (*.f64 (*.f64 x (+.f64 x (*.f64 x y))) (*.f64 x (+.f64 x (*.f64 x y))))))) (fma.f64 x (*.f64 (*.f64 y (*.f64 x y)) (*.f64 x (*.f64 y (*.f64 x y)))) (*.f64 (*.f64 x (+.f64 x (*.f64 x y))) (-.f64 (*.f64 x (+.f64 x (*.f64 x y))) (*.f64 x (*.f64 y (*.f64 x y)))))) #s(literal 918938533204673/1000000000000000 binary64))
(fma.f64 (/.f64 (neg.f64 (*.f64 (fma.f64 (neg.f64 y) (*.f64 y y) #s(literal 1 binary64)) (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 x (fma.f64 x (*.f64 y y) (+.f64 x (*.f64 x y)))) (*.f64 x (-.f64 (*.f64 y (*.f64 x y)) (+.f64 x (*.f64 x y)))))) (*.f64 x (-.f64 (*.f64 y (*.f64 x y)) (+.f64 x (*.f64 x y)))) #s(literal 918938533204673/1000000000000000 binary64))
(fma.f64 (/.f64 (*.f64 (-.f64 x (*.f64 x y)) (fma.f64 x y x)) (*.f64 x (-.f64 (*.f64 y (*.f64 x y)) x))) (-.f64 x (*.f64 x y)) #s(literal 918938533204673/1000000000000000 binary64))
(fma.f64 (/.f64 (*.f64 (-.f64 x (*.f64 x y)) (fma.f64 x y x)) (fma.f64 (neg.f64 x) (*.f64 y (*.f64 x (*.f64 y (*.f64 x y)))) (neg.f64 (*.f64 x (*.f64 x x))))) (fma.f64 x (-.f64 x (*.f64 x y)) (*.f64 x (*.f64 y (*.f64 x y)))) #s(literal 918938533204673/1000000000000000 binary64))
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(*.f64 (/.f64 (*.f64 (fma.f64 (neg.f64 y) (*.f64 y y) #s(literal 1 binary64)) (*.f64 x (*.f64 x x))) (fma.f64 (*.f64 x (*.f64 y (*.f64 x y))) (*.f64 (*.f64 x (*.f64 y (*.f64 x y))) (*.f64 x (*.f64 y (*.f64 x y)))) (*.f64 (*.f64 x (+.f64 x (*.f64 x y))) (*.f64 (*.f64 x (+.f64 x (*.f64 x y))) (*.f64 x (+.f64 x (*.f64 x y))))))) (fma.f64 x (*.f64 (*.f64 y (*.f64 x y)) (*.f64 x (*.f64 y (*.f64 x y)))) (*.f64 (*.f64 x (+.f64 x (*.f64 x y))) (-.f64 (*.f64 x (+.f64 x (*.f64 x y))) (*.f64 x (*.f64 y (*.f64 x y)))))))
(*.f64 (/.f64 (*.f64 (fma.f64 (neg.f64 y) (*.f64 y y) #s(literal 1 binary64)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x (fma.f64 x (*.f64 y y) (+.f64 x (*.f64 x y)))) (*.f64 x (-.f64 (*.f64 y (*.f64 x y)) (+.f64 x (*.f64 x y)))))) (*.f64 x (-.f64 (*.f64 y (*.f64 x y)) (+.f64 x (*.f64 x y)))))
(*.f64 (/.f64 (*.f64 x (-.f64 (*.f64 y (*.f64 x y)) x)) (fma.f64 (neg.f64 x) (*.f64 y (*.f64 x (*.f64 y (*.f64 x y)))) (neg.f64 (*.f64 x (*.f64 x x))))) (fma.f64 x (-.f64 x (*.f64 x y)) (*.f64 x (*.f64 y (*.f64 x y)))))

simplify281.0ms (3.6%)

Memory
12.1MiB live, 207.3MiB allocated
Algorithm
1×egg-herbie
Rules
3 910×lower-fma.f64
3 910×lower-fma.f32
2 404×lower-/.f32
2 404×lower-/.f64
2 200×lower-*.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
049463
1148442
2350440
3871440
42612440
53892440
64935440
76429440
87112440
97595440
107708440
09524422
Stop Event
1×iter limit
1×node limit
Counts
108 → 107
Calls
Call 1
Inputs
(* -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)
(* -1/2 y)
(* -1/2 y)
(* -1/2 y)
(* -1/2 y)
(* -1/2 y)
(* -1/2 y)
(* -1/2 y)
(* -1/2 y)
(* -1/2 y)
(* -1/2 y)
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -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)
(- 918938533204673/1000000000000000 x)
(- (+ 918938533204673/1000000000000000 (* x y)) x)
(- (+ 918938533204673/1000000000000000 (* x y)) x)
(- (+ 918938533204673/1000000000000000 (* x y)) x)
(* x y)
(* y (- (* 918938533204673/1000000000000000 (/ 1 y)) (+ (* -1 x) (/ x y))))
(* y (- (* 918938533204673/1000000000000000 (/ 1 y)) (+ (* -1 x) (/ x y))))
(* y (- (* 918938533204673/1000000000000000 (/ 1 y)) (+ (* -1 x) (/ x y))))
(* x y)
(* -1 (* y (- (* -1 (/ (- 918938533204673/1000000000000000 x) y)) x)))
(* -1 (* y (- (* -1 (/ (- 918938533204673/1000000000000000 x) y)) x)))
(* -1 (* y (- (* -1 (/ (- 918938533204673/1000000000000000 x) y)) x)))
918938533204673/1000000000000000
(+ 918938533204673/1000000000000000 (* -1 (* x (+ 1 (* -1 y)))))
(+ 918938533204673/1000000000000000 (* -1 (* x (+ 1 (* -1 y)))))
(+ 918938533204673/1000000000000000 (* -1 (* x (+ 1 (* -1 y)))))
(* -1 (* x (+ 1 (* -1 y))))
(* x (- (* 918938533204673/1000000000000000 (/ 1 x)) (+ 1 (* -1 y))))
(* x (- (* 918938533204673/1000000000000000 (/ 1 x)) (+ 1 (* -1 y))))
(* x (- (* 918938533204673/1000000000000000 (/ 1 x)) (+ 1 (* -1 y))))
(* -1 (* x (- 1 y)))
(* -1 (* x (- 1 (+ y (* 918938533204673/1000000000000000 (/ 1 x))))))
(* -1 (* x (- 1 (+ y (* 918938533204673/1000000000000000 (/ 1 x))))))
(* -1 (* x (- 1 (+ y (* 918938533204673/1000000000000000 (/ 1 x))))))
x
(+ x (* -1 (* x y)))
(+ x (* -1 (* x y)))
(+ x (* -1 (* x y)))
(* -1 (* x y))
(* y (+ (* -1 x) (/ x y)))
(* y (+ (* -1 x) (/ x y)))
(* y (+ (* -1 x) (/ x y)))
(* -1 (* x y))
(* -1 (* y (+ x (* -1 (/ x y)))))
(* -1 (* y (+ x (* -1 (/ x y)))))
(* -1 (* y (+ x (* -1 (/ x y)))))
(* x (+ 1 (* -1 y)))
(* x (+ 1 (* -1 y)))
(* x (+ 1 (* -1 y)))
(* x (+ 1 (* -1 y)))
(* x (+ 1 (* -1 y)))
(* x (+ 1 (* -1 y)))
(* x (+ 1 (* -1 y)))
(* x (+ 1 (* -1 y)))
(* -1 (* x (- y 1)))
(* -1 (* x (- y 1)))
(* -1 (* x (- y 1)))
(* -1 (* x (- y 1)))
Outputs
(* -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 #s(literal -1/2 binary64) y)
(* -1/2 y)
(*.f64 #s(literal -1/2 binary64) y)
(* -1/2 y)
(*.f64 #s(literal -1/2 binary64) y)
(* -1/2 y)
(*.f64 #s(literal -1/2 binary64) y)
(* -1/2 y)
(*.f64 #s(literal -1/2 binary64) y)
(* -1/2 y)
(*.f64 #s(literal -1/2 binary64) y)
(* -1/2 y)
(*.f64 #s(literal -1/2 binary64) y)
(* -1/2 y)
(*.f64 #s(literal -1/2 binary64) y)
(* -1/2 y)
(*.f64 #s(literal -1/2 binary64) y)
(* -1/2 y)
(*.f64 #s(literal -1/2 binary64) y)
(* -1/2 y)
(*.f64 #s(literal -1/2 binary64) y)
(* -1/2 y)
(*.f64 #s(literal -1/2 binary64) y)
(* -1 (* x y))
(*.f64 x (neg.f64 y))
(* -1 (* x y))
(*.f64 x (neg.f64 y))
(* -1 (* x y))
(*.f64 x (neg.f64 y))
(* -1 (* x y))
(*.f64 x (neg.f64 y))
(* -1 (* x y))
(*.f64 x (neg.f64 y))
(* -1 (* x y))
(*.f64 x (neg.f64 y))
(* -1 (* x y))
(*.f64 x (neg.f64 y))
(* -1 (* x y))
(*.f64 x (neg.f64 y))
(* -1 (* x y))
(*.f64 x (neg.f64 y))
(* -1 (* x y))
(*.f64 x (neg.f64 y))
(* -1 (* x y))
(*.f64 x (neg.f64 y))
(* -1 (* x y))
(*.f64 x (neg.f64 y))
(* -1 (* x y))
(*.f64 x (neg.f64 y))
(* -1 (* x y))
(*.f64 x (neg.f64 y))
(* -1 (* x y))
(*.f64 x (neg.f64 y))
(* -1 (* x y))
(*.f64 x (neg.f64 y))
(* -1 (* x y))
(*.f64 x (neg.f64 y))
(* -1 (* x y))
(*.f64 x (neg.f64 y))
(* -1 (* x y))
(*.f64 x (neg.f64 y))
(* -1 (* x y))
(*.f64 x (neg.f64 y))
(* -1 (* x y))
(*.f64 x (neg.f64 y))
(* -1 (* x y))
(*.f64 x (neg.f64 y))
(* -1 (* x y))
(*.f64 x (neg.f64 y))
(* -1 (* x y))
(*.f64 x (neg.f64 y))
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(- 918938533204673/1000000000000000 x)
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)
(- (+ 918938533204673/1000000000000000 (* x y)) x)
(-.f64 (fma.f64 x y #s(literal 918938533204673/1000000000000000 binary64)) x)
(- (+ 918938533204673/1000000000000000 (* x y)) x)
(-.f64 (fma.f64 x y #s(literal 918938533204673/1000000000000000 binary64)) x)
(- (+ 918938533204673/1000000000000000 (* x y)) x)
(-.f64 (fma.f64 x y #s(literal 918938533204673/1000000000000000 binary64)) x)
(* x y)
(*.f64 x y)
(* y (- (* 918938533204673/1000000000000000 (/ 1 y)) (+ (* -1 x) (/ x y))))
(-.f64 (fma.f64 x y #s(literal 918938533204673/1000000000000000 binary64)) x)
(* y (- (* 918938533204673/1000000000000000 (/ 1 y)) (+ (* -1 x) (/ x y))))
(-.f64 (fma.f64 x y #s(literal 918938533204673/1000000000000000 binary64)) x)
(* y (- (* 918938533204673/1000000000000000 (/ 1 y)) (+ (* -1 x) (/ x y))))
(-.f64 (fma.f64 x y #s(literal 918938533204673/1000000000000000 binary64)) x)
(* x y)
(*.f64 x y)
(* -1 (* y (- (* -1 (/ (- 918938533204673/1000000000000000 x) y)) x)))
(-.f64 (fma.f64 x y #s(literal 918938533204673/1000000000000000 binary64)) x)
(* -1 (* y (- (* -1 (/ (- 918938533204673/1000000000000000 x) y)) x)))
(-.f64 (fma.f64 x y #s(literal 918938533204673/1000000000000000 binary64)) x)
(* -1 (* y (- (* -1 (/ (- 918938533204673/1000000000000000 x) y)) x)))
(-.f64 (fma.f64 x y #s(literal 918938533204673/1000000000000000 binary64)) x)
918938533204673/1000000000000000
#s(literal 918938533204673/1000000000000000 binary64)
(+ 918938533204673/1000000000000000 (* -1 (* x (+ 1 (* -1 y)))))
(-.f64 (fma.f64 x y #s(literal 918938533204673/1000000000000000 binary64)) x)
(+ 918938533204673/1000000000000000 (* -1 (* x (+ 1 (* -1 y)))))
(-.f64 (fma.f64 x y #s(literal 918938533204673/1000000000000000 binary64)) x)
(+ 918938533204673/1000000000000000 (* -1 (* x (+ 1 (* -1 y)))))
(-.f64 (fma.f64 x y #s(literal 918938533204673/1000000000000000 binary64)) x)
(* -1 (* x (+ 1 (* -1 y))))
(-.f64 (*.f64 x y) x)
(* x (- (* 918938533204673/1000000000000000 (/ 1 x)) (+ 1 (* -1 y))))
(-.f64 (fma.f64 x y #s(literal 918938533204673/1000000000000000 binary64)) x)
(* x (- (* 918938533204673/1000000000000000 (/ 1 x)) (+ 1 (* -1 y))))
(-.f64 (fma.f64 x y #s(literal 918938533204673/1000000000000000 binary64)) x)
(* x (- (* 918938533204673/1000000000000000 (/ 1 x)) (+ 1 (* -1 y))))
(-.f64 (fma.f64 x y #s(literal 918938533204673/1000000000000000 binary64)) x)
(* -1 (* x (- 1 y)))
(-.f64 (*.f64 x y) x)
(* -1 (* x (- 1 (+ y (* 918938533204673/1000000000000000 (/ 1 x))))))
(-.f64 (fma.f64 x y #s(literal 918938533204673/1000000000000000 binary64)) x)
(* -1 (* x (- 1 (+ y (* 918938533204673/1000000000000000 (/ 1 x))))))
(-.f64 (fma.f64 x y #s(literal 918938533204673/1000000000000000 binary64)) x)
(* -1 (* x (- 1 (+ y (* 918938533204673/1000000000000000 (/ 1 x))))))
(-.f64 (fma.f64 x y #s(literal 918938533204673/1000000000000000 binary64)) x)
x
(+ x (* -1 (* x y)))
(-.f64 x (*.f64 x y))
(+ x (* -1 (* x y)))
(-.f64 x (*.f64 x y))
(+ x (* -1 (* x y)))
(-.f64 x (*.f64 x y))
(* -1 (* x y))
(*.f64 x (neg.f64 y))
(* y (+ (* -1 x) (/ x y)))
(-.f64 x (*.f64 x y))
(* y (+ (* -1 x) (/ x y)))
(-.f64 x (*.f64 x y))
(* y (+ (* -1 x) (/ x y)))
(-.f64 x (*.f64 x y))
(* -1 (* x y))
(*.f64 x (neg.f64 y))
(* -1 (* y (+ x (* -1 (/ x y)))))
(-.f64 x (*.f64 x y))
(* -1 (* y (+ x (* -1 (/ x y)))))
(-.f64 x (*.f64 x y))
(* -1 (* y (+ x (* -1 (/ x y)))))
(-.f64 x (*.f64 x y))
(* x (+ 1 (* -1 y)))
(-.f64 x (*.f64 x y))
(* x (+ 1 (* -1 y)))
(-.f64 x (*.f64 x y))
(* x (+ 1 (* -1 y)))
(-.f64 x (*.f64 x y))
(* x (+ 1 (* -1 y)))
(-.f64 x (*.f64 x y))
(* x (+ 1 (* -1 y)))
(-.f64 x (*.f64 x y))
(* x (+ 1 (* -1 y)))
(-.f64 x (*.f64 x y))
(* x (+ 1 (* -1 y)))
(-.f64 x (*.f64 x y))
(* x (+ 1 (* -1 y)))
(-.f64 x (*.f64 x y))
(* -1 (* x (- y 1)))
(-.f64 x (*.f64 x y))
(* -1 (* x (- y 1)))
(-.f64 x (*.f64 x y))
(* -1 (* x (- y 1)))
(-.f64 x (*.f64 x y))
(* -1 (* x (- y 1)))
(-.f64 x (*.f64 x y))

eval45.0ms (0.6%)

Memory
6.5MiB live, 88.1MiB allocated
Compiler

Compiled 8 203 to 767 computations (90.6% saved)

prune44.0ms (0.6%)

Memory
-32.2MiB live, 88.5MiB allocated
Pruning

12 alts after pruning (1 fresh and 11 done)

PrunedKeptTotal
New4051406
Fresh000
Picked134
Done189
Total40712419
Accuracy
100.0%
Counts
419 → 12
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓49.9%
(fma.f64 y x (*.f64 y #s(literal -1/2 binary64)))
✓49.9%
(fma.f64 y x (neg.f64 x))
✓51.1%
(fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64))
73.1%
(-.f64 (fma.f64 x y #s(literal 918938533204673/1000000000000000 binary64)) x)
✓100.0%
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x))
✓51.1%
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)
✓2.7%
(*.f64 (neg.f64 y) x)
✓49.9%
(*.f64 y (+.f64 #s(literal -1/2 binary64) x))
✓29.1%
(*.f64 y #s(literal -1/2 binary64))
✓23.6%
(*.f64 x y)
✓27.9%
(neg.f64 x)
✓24.4%
#s(literal 918938533204673/1000000000000000 binary64)
Compiler

Compiled 171 to 90 computations (47.4% saved)

regimes24.0ms (0.3%)

Memory
1.9MiB live, 40.7MiB allocated
Counts
18 → 1
Calls
Call 1
Inputs
#s(literal 918938533204673/1000000000000000 binary64)
(neg.f64 x)
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)
(*.f64 x y)
(*.f64 y #s(literal -1/2 binary64))
(fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64))
(*.f64 (neg.f64 y) x)
(*.f64 y (+.f64 #s(literal -1/2 binary64) x))
(-.f64 (*.f64 y x) x)
(fma.f64 y x (neg.f64 x))
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y #s(literal 1/2 binary64) x))
(-.f64 (fma.f64 x y #s(literal 918938533204673/1000000000000000 binary64)) x)
(+.f64 (-.f64 (*.f64 y x) x) #s(literal 918938533204673/1000000000000000 binary64))
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y (neg.f64 x) x))
(fma.f64 y x (*.f64 y #s(literal -1/2 binary64)))
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x))
(fma.f64 (+.f64 y #s(literal -1 binary64)) x (fma.f64 y #s(literal -1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64)))
(+.f64 (-.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 y #s(literal 1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64))
Outputs
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x))
Calls

4 calls:

7.0ms
x
6.0ms
y
6.0ms
(-.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 y #s(literal 1/2 binary64)))
5.0ms
(+.f64 (-.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 y #s(literal 1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64))
Results
AccuracySegmentsBranch
100.0%1x
100.0%1y
100.0%1(+.f64 (-.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 y #s(literal 1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64))
100.0%1(-.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 y #s(literal 1/2 binary64)))
Compiler

Compiled 30 to 22 computations (26.7% saved)

regimes20.0ms (0.3%)

Memory
36.4MiB live, 36.4MiB allocated
Counts
15 → 3
Calls
Call 1
Inputs
#s(literal 918938533204673/1000000000000000 binary64)
(neg.f64 x)
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)
(*.f64 x y)
(*.f64 y #s(literal -1/2 binary64))
(fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64))
(*.f64 (neg.f64 y) x)
(*.f64 y (+.f64 #s(literal -1/2 binary64) x))
(-.f64 (*.f64 y x) x)
(fma.f64 y x (neg.f64 x))
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y #s(literal 1/2 binary64) x))
(-.f64 (fma.f64 x y #s(literal 918938533204673/1000000000000000 binary64)) x)
(+.f64 (-.f64 (*.f64 y x) x) #s(literal 918938533204673/1000000000000000 binary64))
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y (neg.f64 x) x))
(fma.f64 y x (*.f64 y #s(literal -1/2 binary64)))
Outputs
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y (neg.f64 x) x))
(fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64))
(-.f64 (fma.f64 x y #s(literal 918938533204673/1000000000000000 binary64)) x)
Calls

4 calls:

5.0ms
x
5.0ms
y
5.0ms
(-.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 y #s(literal 1/2 binary64)))
5.0ms
(+.f64 (-.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 y #s(literal 1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64))
Results
AccuracySegmentsBranch
99.5%3x
99.1%3y
91.7%3(+.f64 (-.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 y #s(literal 1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64))
91.7%3(-.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 y #s(literal 1/2 binary64)))
Compiler

Compiled 30 to 22 computations (26.7% saved)

regimes6.0ms (0.1%)

Memory
-29.2MiB live, 9.6MiB allocated
Counts
13 → 3
Calls
Call 1
Inputs
#s(literal 918938533204673/1000000000000000 binary64)
(neg.f64 x)
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)
(*.f64 x y)
(*.f64 y #s(literal -1/2 binary64))
(fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64))
(*.f64 (neg.f64 y) x)
(*.f64 y (+.f64 #s(literal -1/2 binary64) x))
(-.f64 (*.f64 y x) x)
(fma.f64 y x (neg.f64 x))
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y #s(literal 1/2 binary64) x))
(-.f64 (fma.f64 x y #s(literal 918938533204673/1000000000000000 binary64)) x)
(+.f64 (-.f64 (*.f64 y x) x) #s(literal 918938533204673/1000000000000000 binary64))
Outputs
(-.f64 (fma.f64 x y #s(literal 918938533204673/1000000000000000 binary64)) x)
(fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64))
(-.f64 (fma.f64 x y #s(literal 918938533204673/1000000000000000 binary64)) x)
Calls

1 calls:

5.0ms
x
Results
AccuracySegmentsBranch
99.5%3x
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes8.0ms (0.1%)

Memory
15.7MiB live, 15.7MiB allocated
Counts
11 → 3
Calls
Call 1
Inputs
#s(literal 918938533204673/1000000000000000 binary64)
(neg.f64 x)
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)
(*.f64 x y)
(*.f64 y #s(literal -1/2 binary64))
(fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64))
(*.f64 (neg.f64 y) x)
(*.f64 y (+.f64 #s(literal -1/2 binary64) x))
(-.f64 (*.f64 y x) x)
(fma.f64 y x (neg.f64 x))
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y #s(literal 1/2 binary64) x))
Outputs
(fma.f64 y x (neg.f64 x))
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y #s(literal 1/2 binary64) x))
(-.f64 (*.f64 y x) x)
Calls

2 calls:

4.0ms
x
4.0ms
y
Results
AccuracySegmentsBranch
98.1%3y
99.1%3x
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes8.0ms (0.1%)

Memory
14.9MiB live, 14.9MiB allocated
Counts
10 → 3
Calls
Call 1
Inputs
#s(literal 918938533204673/1000000000000000 binary64)
(neg.f64 x)
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)
(*.f64 x y)
(*.f64 y #s(literal -1/2 binary64))
(fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64))
(*.f64 (neg.f64 y) x)
(*.f64 y (+.f64 #s(literal -1/2 binary64) x))
(-.f64 (*.f64 y x) x)
(fma.f64 y x (neg.f64 x))
Outputs
(fma.f64 y x (neg.f64 x))
(fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64))
(-.f64 (*.f64 y x) x)
Calls

2 calls:

4.0ms
x
4.0ms
y
Results
AccuracySegmentsBranch
97.5%3y
97.5%3x
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes5.0ms (0.1%)

Memory
-31.2MiB live, 7.7MiB allocated
Counts
9 → 3
Calls
Call 1
Inputs
#s(literal 918938533204673/1000000000000000 binary64)
(neg.f64 x)
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)
(*.f64 x y)
(*.f64 y #s(literal -1/2 binary64))
(fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64))
(*.f64 (neg.f64 y) x)
(*.f64 y (+.f64 #s(literal -1/2 binary64) x))
(-.f64 (*.f64 y x) x)
Outputs
(-.f64 (*.f64 y x) x)
(fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64))
(-.f64 (*.f64 y x) x)
Calls

1 calls:

4.0ms
x
Results
AccuracySegmentsBranch
97.5%3x
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes7.0ms (0.1%)

Memory
13.3MiB live, 13.3MiB allocated
Counts
8 → 3
Calls
Call 1
Inputs
#s(literal 918938533204673/1000000000000000 binary64)
(neg.f64 x)
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)
(*.f64 x y)
(*.f64 y #s(literal -1/2 binary64))
(fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64))
(*.f64 (neg.f64 y) x)
(*.f64 y (+.f64 #s(literal -1/2 binary64) x))
Outputs
(*.f64 y (+.f64 #s(literal -1/2 binary64) x))
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)
(*.f64 y (+.f64 #s(literal -1/2 binary64) x))
Calls

2 calls:

3.0ms
x
3.0ms
y
Results
AccuracySegmentsBranch
97.5%3y
80.0%4x
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes20.0ms (0.3%)

Memory
-11.0MiB live, 32.9MiB allocated
Counts
7 → 4
Calls
Call 1
Inputs
#s(literal 918938533204673/1000000000000000 binary64)
(neg.f64 x)
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)
(*.f64 x y)
(*.f64 y #s(literal -1/2 binary64))
(fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64))
(*.f64 (neg.f64 y) x)
Outputs
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)
(fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64))
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)
(*.f64 x y)
Calls

4 calls:

11.0ms
(+.f64 (-.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 y #s(literal 1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64))
3.0ms
x
3.0ms
y
3.0ms
(-.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 y #s(literal 1/2 binary64)))
Results
AccuracySegmentsBranch
80.0%4x
71.6%5(+.f64 (-.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 y #s(literal 1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64))
71.6%5(-.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 y #s(literal 1/2 binary64)))
77.2%3y
Compiler

Compiled 30 to 22 computations (26.7% saved)

regimes5.0ms (0.1%)

Memory
10.8MiB live, 10.9MiB allocated
Counts
5 → 4
Calls
Call 1
Inputs
#s(literal 918938533204673/1000000000000000 binary64)
(neg.f64 x)
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)
(*.f64 x y)
(*.f64 y #s(literal -1/2 binary64))
Outputs
(*.f64 y #s(literal -1/2 binary64))
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)
(*.f64 x y)
(*.f64 y #s(literal -1/2 binary64))
Calls

2 calls:

2.0ms
x
2.0ms
y
Results
AccuracySegmentsBranch
78.5%4y
61.4%4x
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes3.0ms (0%)

Memory
5.4MiB live, 5.4MiB allocated
Counts
4 → 3
Calls
Call 1
Inputs
#s(literal 918938533204673/1000000000000000 binary64)
(neg.f64 x)
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)
(*.f64 x y)
Outputs
(*.f64 x y)
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)
(*.f64 x y)
Calls

1 calls:

2.0ms
y
Results
AccuracySegmentsBranch
71.4%3y
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes11.0ms (0.1%)

Memory
-21.4MiB live, 16.6MiB allocated
Counts
3 → 1
Calls
Call 1
Inputs
#s(literal 918938533204673/1000000000000000 binary64)
(neg.f64 x)
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)
Outputs
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)
Calls

4 calls:

5.0ms
x
2.0ms
(-.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 y #s(literal 1/2 binary64)))
2.0ms
y
2.0ms
(+.f64 (-.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 y #s(literal 1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64))
Results
AccuracySegmentsBranch
51.1%1x
51.1%1(+.f64 (-.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 y #s(literal 1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64))
51.1%1(-.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 y #s(literal 1/2 binary64)))
51.1%1y
Compiler

Compiled 30 to 22 computations (26.7% saved)

regimes7.0ms (0.1%)

Memory
14.7MiB live, 14.7MiB allocated
Counts
2 → 3
Calls
Call 1
Inputs
#s(literal 918938533204673/1000000000000000 binary64)
(neg.f64 x)
Outputs
(neg.f64 x)
#s(literal 918938533204673/1000000000000000 binary64)
(neg.f64 x)
Calls

4 calls:

2.0ms
(-.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 y #s(literal 1/2 binary64)))
2.0ms
y
1.0ms
(+.f64 (-.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 y #s(literal 1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64))
1.0ms
x
Results
AccuracySegmentsBranch
49.2%3x
33.1%3y
49.0%3(+.f64 (-.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 y #s(literal 1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64))
49.0%3(-.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 y #s(literal 1/2 binary64)))
Compiler

Compiled 30 to 22 computations (26.7% saved)

regimes5.0ms (0.1%)

Memory
12.7MiB live, 12.7MiB allocated
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts
1 → 1
Calls
Call 1
Inputs
#s(literal 918938533204673/1000000000000000 binary64)
Outputs
#s(literal 918938533204673/1000000000000000 binary64)
Calls

4 calls:

1.0ms
(-.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 y #s(literal 1/2 binary64)))
1.0ms
y
1.0ms
(+.f64 (-.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 y #s(literal 1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64))
1.0ms
x
Results
AccuracySegmentsBranch
24.4%1y
24.4%1(+.f64 (-.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 y #s(literal 1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64))
24.4%1(-.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 y #s(literal 1/2 binary64)))
24.4%1x
Compiler

Compiled 30 to 22 computations (26.7% saved)

bsearch46.0ms (0.6%)

Memory
-5.4MiB live, 68.7MiB allocated
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
24.0ms
8.942469657888312e-24
1.640780825682578e-11
18.0ms
-9.917440428151069e-6
-2.8114897686884338e-11
Samples
31.0ms304×0valid
Compiler

Compiled 329 to 252 computations (23.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 14.0ms
const: 5.0ms (36.8% of total)
ival-mult: 4.0ms (29.5% of total)
ival-sub: 3.0ms (22.1% of total)
ival-add: 1.0ms (7.4% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch2.0ms (0%)

Memory
3.5MiB live, 3.5MiB allocated
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
1.0ms
8.942469657888312e-24
1.640780825682578e-11
1.0ms
-9.917440428151069e-6
-2.8114897686884338e-11
Compiler

Compiled 320 to 243 computations (24.1% saved)

bsearch67.0ms (0.9%)

Memory
-2.4MiB live, 41.1MiB allocated
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
55.0ms
1428012279737964.5
4.925139812997777e+24
10.0ms
-11288924.884855835
-1928499.2322750997
Samples
55.0ms240×0valid
Compiler

Compiled 271 to 195 computations (28% saved)

Precisions
Click to see histograms. Total time spent on operations: 10.0ms
const: 4.0ms (38.4% of total)
ival-mult: 3.0ms (28.8% of total)
ival-sub: 2.0ms (19.2% of total)
ival-add: 1.0ms (9.6% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch53.0ms (0.7%)

Memory
-1.4MiB live, 72.8MiB allocated
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
25.0ms
0.00019717613049460974
23024922.97712282
24.0ms
-14.911420457527605
-0.007622501848898324
Samples
30.0ms288×0valid
Compiler

Compiled 286 to 213 computations (25.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 24.0ms
ival-mult: 14.0ms (59.2% of total)
const: 5.0ms (21.1% of total)
ival-sub: 3.0ms (12.7% of total)
ival-add: 1.0ms (4.2% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch2.0ms (0%)

Memory
4.4MiB live, 4.4MiB allocated
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
1.0ms
0.00019717613049460974
23024922.97712282
1.0ms
-14.911420457527605
-0.007622501848898324
Compiler

Compiled 286 to 213 computations (25.5% saved)

bsearch71.0ms (0.9%)

Memory
14.7MiB live, 52.7MiB allocated
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
16.0ms
0.775583741526007
8046579239.409558
51.0ms
-437608.5457725154
-0.51803443161185
Samples
56.0ms304×0valid
Compiler

Compiled 282 to 224 computations (20.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 50.0ms
const: 41.0ms (82.8% of total)
ival-sub: 3.0ms (6.1% of total)
ival-mult: 3.0ms (6.1% of total)
ival-add: 1.0ms (2% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch332.0ms (4.2%)

Memory
-29.1MiB live, 20.2MiB allocated
Algorithm
3×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
328.0ms
3.318537808880302e+208
2.87156164445312e+213
1.0ms
8.942469657888312e-24
1.640780825682578e-11
1.0ms
-9.917440428151069e-6
-2.8114897686884338e-11
Samples
10.0ms144×0valid
Compiler

Compiled 371 to 305 computations (17.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 7.0ms
ival-mult: 2.0ms (30.4% of total)
const: 2.0ms (30.4% of total)
ival-sub: 1.0ms (15.2% of total)
ival-add: 1.0ms (15.2% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch67.0ms (0.8%)

Memory
26.9MiB live, 64.7MiB allocated
Algorithm
3×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
12.0ms
1.0448229413305405e+104
5.545369312067517e+105
33.0ms
0.775583741526007
8046579239.409558
18.0ms
-4.266449915748418e+26
-437608.5457725154
Samples
49.0ms368×0valid
Compiler

Compiled 352 to 278 computations (21% saved)

Precisions
Click to see histograms. Total time spent on operations: 16.0ms
const: 6.0ms (36.7% of total)
ival-mult: 4.0ms (24.5% of total)
ival-sub: 3.0ms (18.4% of total)
ival-add: 2.0ms (12.2% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch16.0ms (0.2%)

Memory
-7.7MiB live, 30.4MiB allocated
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
1.0ms
0.775583741526007
8046579239.409558
13.0ms
-437608.5457725154
-0.51803443161185
Samples
9.0ms112×0valid
Compiler

Compiled 244 to 186 computations (23.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 7.0ms
ival-mult: 3.0ms (46.1% of total)
const: 2.0ms (30.7% of total)
ival-sub: 1.0ms (15.4% of total)
ival-add: 1.0ms (15.4% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch20.0ms (0.3%)

Memory
-4.3MiB live, 33.3MiB allocated
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
7.0ms
0.00019717613049460974
23024922.97712282
11.0ms
-14.911420457527605
-0.007622501848898324
Samples
12.0ms144×0valid
Compiler

Compiled 178 to 159 computations (10.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 8.0ms
ival-sub: 4.0ms (47.1% of total)
ival-mult: 2.0ms (23.6% of total)
const: 2.0ms (23.6% of total)
ival-add: 1.0ms (11.8% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

simplify17.0ms (0.2%)

Memory
-20.1MiB live, 21.9MiB allocated
Algorithm
1×egg-herbie
Rules
24×+-commutative_binary64
22×sub-neg_binary64
14×*-commutative_binary64
8×neg-sub0_binary64
8×neg-mul-1_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
074229
195229
2110229
3117229
4120229
Stop Event
1×saturated
Calls
Call 1
Inputs
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x))
(if (<=.f64 x #s(literal -4004566777473459/37778931862957161709568 binary64)) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y (neg.f64 x) x)) (if (<=.f64 x #s(literal 4951760157141521/309485009821345068724781056 binary64)) (fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64)) (-.f64 (fma.f64 x y #s(literal 918938533204673/1000000000000000 binary64)) x)))
(if (<=.f64 x #s(literal -4004566777473459/37778931862957161709568 binary64)) (-.f64 (fma.f64 x y #s(literal 918938533204673/1000000000000000 binary64)) x) (if (<=.f64 x #s(literal 4951760157141521/309485009821345068724781056 binary64)) (fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64)) (-.f64 (fma.f64 x y #s(literal 918938533204673/1000000000000000 binary64)) x)))
(if (<=.f64 x #s(literal -4200000 binary64)) (fma.f64 y x (neg.f64 x)) (if (<=.f64 x #s(literal 1450000000000000 binary64)) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y #s(literal 1/2 binary64) x)) (-.f64 (*.f64 y x) x)))
(if (<=.f64 x #s(literal -3422735716801577/4503599627370496 binary64)) (fma.f64 y x (neg.f64 x)) (if (<=.f64 x #s(literal 5944751508129055/9007199254740992 binary64)) (fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64)) (-.f64 (*.f64 y x) x)))
(if (<=.f64 x #s(literal -3422735716801577/4503599627370496 binary64)) (-.f64 (*.f64 y x) x) (if (<=.f64 x #s(literal 5944751508129055/9007199254740992 binary64)) (fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64)) (-.f64 (*.f64 y x) x)))
(if (<=.f64 y #s(literal -3/2 binary64)) (*.f64 y (+.f64 #s(literal -1/2 binary64) x)) (if (<=.f64 y #s(literal 3602879701896397/2251799813685248 binary64)) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) (*.f64 y (+.f64 #s(literal -1/2 binary64) x))))
(if (<=.f64 x #s(literal -4004566777473459/37778931862957161709568 binary64)) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) (if (<=.f64 x #s(literal 4951760157141521/309485009821345068724781056 binary64)) (fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64)) (if (<=.f64 x #s(literal 315000000000000001130527923138741510423966546385426237575808016905862746224780662424218671593663629761915872396522034907321857840303360499406440098394367041375606979904346288301147317040970414763859214489092096 binary64)) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) (*.f64 x y))))
(if (<=.f64 y #s(literal -440000 binary64)) (*.f64 y #s(literal -1/2 binary64)) (if (<=.f64 y #s(literal 1 binary64)) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) (if (<=.f64 y #s(literal 3100000000000000037767279896003818180213924775918629001002884546288329821222059664642039858637495037067264 binary64)) (*.f64 x y) (*.f64 y #s(literal -1/2 binary64)))))
(if (<=.f64 y #s(literal -125 binary64)) (*.f64 x y) (if (<=.f64 y #s(literal 1 binary64)) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) (*.f64 x y)))
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)
(if (<=.f64 x #s(literal -8286623314361713/9007199254740992 binary64)) (neg.f64 x) (if (<=.f64 x #s(literal 8286623314361713/9007199254740992 binary64)) #s(literal 918938533204673/1000000000000000 binary64) (neg.f64 x)))
#s(literal 918938533204673/1000000000000000 binary64)
Outputs
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x))
(if (<=.f64 x #s(literal -4004566777473459/37778931862957161709568 binary64)) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y (neg.f64 x) x)) (if (<=.f64 x #s(literal 4951760157141521/309485009821345068724781056 binary64)) (fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64)) (-.f64 (fma.f64 x y #s(literal 918938533204673/1000000000000000 binary64)) x)))
(if (<=.f64 x #s(literal -4004566777473459/37778931862957161709568 binary64)) (-.f64 (fma.f64 x y #s(literal 918938533204673/1000000000000000 binary64)) x) (if (<=.f64 x #s(literal 4951760157141521/309485009821345068724781056 binary64)) (fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64)) (-.f64 (fma.f64 x y #s(literal 918938533204673/1000000000000000 binary64)) x)))
(if (<=.f64 x #s(literal -4200000 binary64)) (fma.f64 y x (neg.f64 x)) (if (<=.f64 x #s(literal 1450000000000000 binary64)) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y #s(literal 1/2 binary64) x)) (-.f64 (*.f64 y x) x)))
(if (<=.f64 x #s(literal -3422735716801577/4503599627370496 binary64)) (fma.f64 y x (neg.f64 x)) (if (<=.f64 x #s(literal 5944751508129055/9007199254740992 binary64)) (fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64)) (-.f64 (*.f64 y x) x)))
(if (<=.f64 x #s(literal -3422735716801577/4503599627370496 binary64)) (-.f64 (*.f64 y x) x) (if (<=.f64 x #s(literal 5944751508129055/9007199254740992 binary64)) (fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64)) (-.f64 (*.f64 y x) x)))
(if (<=.f64 y #s(literal -3/2 binary64)) (*.f64 y (+.f64 #s(literal -1/2 binary64) x)) (if (<=.f64 y #s(literal 3602879701896397/2251799813685248 binary64)) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) (*.f64 y (+.f64 #s(literal -1/2 binary64) x))))
(if (<=.f64 y #s(literal -3/2 binary64)) (*.f64 y (+.f64 x #s(literal -1/2 binary64))) (if (<=.f64 y #s(literal 3602879701896397/2251799813685248 binary64)) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) (*.f64 y (+.f64 x #s(literal -1/2 binary64)))))
(if (<=.f64 x #s(literal -4004566777473459/37778931862957161709568 binary64)) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) (if (<=.f64 x #s(literal 4951760157141521/309485009821345068724781056 binary64)) (fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64)) (if (<=.f64 x #s(literal 315000000000000001130527923138741510423966546385426237575808016905862746224780662424218671593663629761915872396522034907321857840303360499406440098394367041375606979904346288301147317040970414763859214489092096 binary64)) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) (*.f64 x y))))
(if (<=.f64 x #s(literal -4004566777473459/37778931862957161709568 binary64)) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) (if (<=.f64 x #s(literal 4951760157141521/309485009821345068724781056 binary64)) (fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64)) (if (<=.f64 x #s(literal 315000000000000001130527923138741510423966546385426237575808016905862746224780662424218671593663629761915872396522034907321857840303360499406440098394367041375606979904346288301147317040970414763859214489092096 binary64)) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) (*.f64 y x))))
(if (<=.f64 y #s(literal -440000 binary64)) (*.f64 y #s(literal -1/2 binary64)) (if (<=.f64 y #s(literal 1 binary64)) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) (if (<=.f64 y #s(literal 3100000000000000037767279896003818180213924775918629001002884546288329821222059664642039858637495037067264 binary64)) (*.f64 x y) (*.f64 y #s(literal -1/2 binary64)))))
(if (<=.f64 y #s(literal -440000 binary64)) (*.f64 y #s(literal -1/2 binary64)) (if (<=.f64 y #s(literal 1 binary64)) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) (if (<=.f64 y #s(literal 3100000000000000037767279896003818180213924775918629001002884546288329821222059664642039858637495037067264 binary64)) (*.f64 y x) (*.f64 y #s(literal -1/2 binary64)))))
(if (<=.f64 y #s(literal -125 binary64)) (*.f64 x y) (if (<=.f64 y #s(literal 1 binary64)) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) (*.f64 x y)))
(if (<=.f64 y #s(literal -125 binary64)) (*.f64 y x) (if (<=.f64 y #s(literal 1 binary64)) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) (*.f64 y x)))
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)
(if (<=.f64 x #s(literal -8286623314361713/9007199254740992 binary64)) (neg.f64 x) (if (<=.f64 x #s(literal 8286623314361713/9007199254740992 binary64)) #s(literal 918938533204673/1000000000000000 binary64) (neg.f64 x)))
#s(literal 918938533204673/1000000000000000 binary64)

soundness1.9s (24.1%)

Memory
-29.0MiB live, 840.8MiB allocated
Rules
11 900×lower-fma.f64
11 900×lower-fma.f32
8 060×lower-fma.f64
8 060×lower-fma.f32
5 954×lower-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01440
02540
112040
291840
0844340
0103808
1324808
2893785
32674785
45829785
57235785
08101739
076593
1232592
2695520
31796520
46373520
08167501
01023
01723
16023
243423
3647623
0802222
Stop Event
1×fuel
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
Compiler

Compiled 465 to 239 computations (48.6% saved)

preprocess73.0ms (0.9%)

Memory
27.4MiB live, 180.8MiB allocated
Compiler

Compiled 488 to 166 computations (66% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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