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

Time bar (total: 7.7s)

analyze0.0ms (0%)

Memory
1.0MiB live, 1.0MiB 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)

sample1.3s (17.5%)

Memory
-74.2MiB live, 1 602.4MiB allocated
Samples
1.1s8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 581.0ms
ival-mult: 229.0ms (39.4% of total)
const: 206.0ms (35.5% of total)
ival-sub: 86.0ms (14.8% of total)
ival-add: 42.0ms (7.2% of total)
exact: 8.0ms (1.4% of total)
ival-true: 6.0ms (1% of total)
ival-assert: 3.0ms (0.5% of total)
Bogosity

preprocess153.0ms (2%)

Memory
-28.0MiB live, 153.9MiB 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))

explain118.0ms (1.5%)

Memory
-9.2MiB live, 222.1MiB 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
41.0ms512×0valid
Compiler

Compiled 102 to 44 computations (56.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 25.0ms
const: 11.0ms (43.4% of total)
ival-mult: 6.0ms (23.7% of total)
ival-sub: 5.0ms (19.7% of total)
ival-add: 2.0ms (7.9% of total)
exact: 1.0ms (3.9% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

eval0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Compiler

Compiled 2 to 2 computations (0% saved)

prune1.0ms (0%)

Memory
1.4MiB live, 1.4MiB 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)

simplify62.0ms (0.8%)

Memory
2.9MiB live, 80.7MiB 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)

localize121.0ms (1.6%)

Memory
3.2MiB live, 73.9MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(-.f64 y #s(literal 1 binary64))
✓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 x (-.f64 y #s(literal 1 binary64)))
Samples
111.0ms256×0valid
Compiler

Compiled 38 to 12 computations (68.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 12.0ms
const: 4.0ms (33.7% of total)
ival-sub: 3.0ms (25.3% of total)
ival-mult: 3.0ms (25.3% of total)
ival-add: 1.0ms (8.4% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series6.0ms (0.1%)

Memory
13.1MiB live, 13.1MiB 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))
1.0ms
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))

rewrite590.0ms (7.7%)

Memory
-11.5MiB live, 490.7MiB 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)))
(fma.f64 (fma.f64 y (*.f64 y y) #s(literal -1 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 y (fma.f64 y y #s(literal 1 binary64)))) x) (*.f64 y #s(literal -1/2 binary64)))
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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))

simplify434.0ms (5.6%)

Memory
-18.7MiB live, 258.6MiB 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))

eval97.0ms (1.3%)

Memory
5.1MiB live, 89.4MiB allocated
Compiler

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

prune91.0ms (1.2%)

Memory
-8.7MiB live, 104.4MiB allocated
Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New4726478
Fresh000
Picked101
Done000
Total4736479
Accuracy
100.0%
Counts
479 → 6
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)))
▶50.5%
(fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64))
▶50.0%
(-.f64 (*.f64 y x) x)
▶100.0%
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x))
▶55.4%
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)
▶45.9%
(*.f64 y (+.f64 #s(literal -1/2 binary64) x))
Compiler

Compiled 92 to 66 computations (28.3% saved)

simplify63.0ms (0.8%)

Memory
25.1MiB live, 71.8MiB 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

localize89.0ms (1.2%)

Memory
-19.7MiB live, 57.3MiB allocated
Localize:

Found 9 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(-.f64 (*.f64 y x) x)
✓accuracy100.0%
(*.f64 y 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
32.0ms256×0valid
Compiler

Compiled 59 to 18 computations (69.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 19.0ms
ival-mult: 6.0ms (31.7% of total)
ival-sub: 5.0ms (26.4% of total)
const: 4.0ms (21.1% of total)
ival-add: 3.0ms (15.8% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series9.0ms (0.1%)

Memory
9.7MiB live, 9.7MiB 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))

rewrite387.0ms (5%)

Memory
-15.1MiB live, 222.9MiB 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)

simplify319.0ms (4.1%)

Memory
29.7MiB live, 229.2MiB 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)

eval166.0ms (2.2%)

Memory
-3.9MiB live, 107.7MiB allocated
Compiler

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

prune168.0ms (2.2%)

Memory
-17.1MiB live, 142.8MiB allocated
Pruning

11 alts after pruning (6 fresh and 5 done)

PrunedKeptTotal
New5786584
Fresh101
Picked055
Done000
Total57911590
Accuracy
100.0%
Counts
590 → 11
Alt Table
Click to see full alt table
StatusAccuracyProgram
45.9%
(fma.f64 y x (*.f64 y #s(literal -1/2 binary64)))
✓50.5%
(fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64))
✓50.0%
(-.f64 (*.f64 y x) x)
✓100.0%
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x))
▶75.7%
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y #s(literal 1/2 binary64) x))
✓55.4%
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)
✓45.9%
(*.f64 y (+.f64 #s(literal -1/2 binary64) x))
▶22.6%
(*.f64 y #s(literal -1/2 binary64))
▶25.3%
(*.f64 x y)
▶26.6%
(neg.f64 x)
▶30.0%
#s(literal 918938533204673/1000000000000000 binary64)
Compiler

Compiled 101 to 73 computations (27.7% saved)

simplify42.0ms (0.5%)

Memory
10.3MiB live, 49.1MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 5 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(*.f64 y #s(literal -1/2 binary64))
✓cost-diff0
(*.f64 x y)
✓cost-diff0
(neg.f64 x)
✓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
352×lower-fma.f32
350×lower-fma.f64
160×lower-*.f32
156×lower-*.f64
112×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01028
01628
12828
24528
38128
416528
525228
637728
750828
852728
952728
052728
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)
(neg.f64 x)
x
(*.f64 x y)
x
y
(*.f64 y #s(literal -1/2 binary64))
y
#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)
(neg.f64 x)
x
(*.f64 x y)
(*.f64 y x)
x
y
(*.f64 y #s(literal -1/2 binary64))
y
#s(literal -1/2 binary64)

localize74.0ms (1%)

Memory
-5.0MiB live, 73.0MiB allocated
Localize:

Found 5 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(*.f64 y #s(literal -1/2 binary64))
✓accuracy100.0%
(*.f64 x y)
✓accuracy100.0%
(neg.f64 x)
✓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
63.0ms256×0valid
Compiler

Compiled 32 to 13 computations (59.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 33.0ms
ival-mult: 24.0ms (72.7% of total)
const: 5.0ms (15.2% of total)
ival-sub: 1.0ms (3% of total)
ival-add: 1.0ms (3% of total)
ival-neg: 1.0ms (3% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series2.0ms (0%)

Memory
4.1MiB live, 4.1MiB allocated
Counts
5 → 96
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 (neg.f64 x)>
#<alt (*.f64 x y)>
#<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 (* -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 (* 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 (* -1/2 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
0.0ms
y
@0
(* y -1/2)
0.0ms
y
@0
(- 918938533204673/1000000000000000 (+ (* y 1/2) x))
0.0ms
y
@inf
(- 918938533204673/1000000000000000 (+ (* y 1/2) x))
0.0ms
x
@inf
(- 918938533204673/1000000000000000 (+ (* y 1/2) x))
0.0ms
x
@-inf
(- 918938533204673/1000000000000000 (+ (* y 1/2) x))

rewrite349.0ms (4.5%)

Memory
-9.3MiB live, 433.5MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
4 286×lower-fma.f32
4 284×lower-fma.f64
4 058×lower-*.f32
4 054×lower-*.f64
2 538×lower-/.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01018
01618
15518
238218
3559418
0829518
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
5 → 224
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)
(neg.f64 x)
(*.f64 x y)
(*.f64 y #s(literal -1/2 binary64))
Outputs
(+.f64 #s(literal 918938533204673/1000000000000000 binary64) (-.f64 (*.f64 y #s(literal -1/2 binary64)) x))
(+.f64 (neg.f64 x) (fma.f64 y #s(literal -1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64)))
(+.f64 (-.f64 (*.f64 y #s(literal -1/2 binary64)) x) #s(literal 918938533204673/1000000000000000 binary64))
(+.f64 (fma.f64 y #s(literal -1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64)) (neg.f64 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) (*.f64 (fma.f64 y #s(literal 1/2 binary64) x) (fma.f64 y #s(literal 1/2 binary64) 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 (*.f64 (fma.f64 y #s(literal 1/2 binary64) 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 (*.f64 y #s(literal -1/2 binary64)) (+.f64 (neg.f64 x) #s(literal 918938533204673/1000000000000000 binary64)))
(+.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) (*.f64 y #s(literal -1/2 binary64)))
(+.f64 (+.f64 (fma.f64 y #s(literal -1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64)) #s(literal 0 binary64)) (neg.f64 x))
(+.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) (/.f64 (*.f64 y (*.f64 y #s(literal 1/4 binary64))) (-.f64 (*.f64 y #s(literal 1/2 binary64)) x))) (/.f64 (*.f64 x x) (-.f64 (*.f64 y #s(literal 1/2 binary64)) x)))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y #s(literal 1/2 binary64) x)))) #s(literal -1 binary64)))
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y #s(literal 1/2 binary64) x))
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (-.f64 (*.f64 y #s(literal 1/2 binary64)) (neg.f64 x)))
(-.f64 #s(literal 0 binary64) (-.f64 (fma.f64 y #s(literal 1/2 binary64) x) #s(literal 918938533204673/1000000000000000 binary64)))
(-.f64 (fma.f64 y #s(literal -1/2 binary64) #s(literal 918938533204673/1000000000000000 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) (*.f64 (fma.f64 y #s(literal 1/2 binary64) x) (fma.f64 y #s(literal 1/2 binary64) 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 (*.f64 (fma.f64 y #s(literal 1/2 binary64) 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 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) (*.f64 y #s(literal 1/2 binary64)))
(-.f64 (/.f64 (*.f64 (fma.f64 y #s(literal -1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64)) (*.f64 (fma.f64 y #s(literal -1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64)) (fma.f64 y #s(literal -1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64)))) (fma.f64 x (+.f64 x (fma.f64 y #s(literal -1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64))) (*.f64 (fma.f64 y #s(literal -1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64)) (fma.f64 y #s(literal -1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64))))) (/.f64 (*.f64 x (*.f64 x x)) (fma.f64 x (+.f64 x (fma.f64 y #s(literal -1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64))) (*.f64 (fma.f64 y #s(literal -1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64)) (fma.f64 y #s(literal -1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64))))))
(-.f64 (/.f64 (*.f64 (fma.f64 y #s(literal -1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64)) (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 (*.f64 x x) (+.f64 x (fma.f64 y #s(literal -1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64)))))
(-.f64 (+.f64 (fma.f64 y #s(literal -1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64)) #s(literal 0 binary64)) x)
(fma.f64 y #s(literal -1/2 binary64) (+.f64 (neg.f64 x) #s(literal 918938533204673/1000000000000000 binary64)))
(fma.f64 #s(literal 1/2 binary64) (neg.f64 y) (+.f64 (neg.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 (fma.f64 y #s(literal 1/2 binary64) x) #s(literal -1 binary64) #s(literal 918938533204673/1000000000000000 binary64))
(fma.f64 (fma.f64 y #s(literal 1/2 binary64) x) (/.f64 (-.f64 (*.f64 y #s(literal 1/2 binary64)) x) (fma.f64 y #s(literal -1/2 binary64) (neg.f64 (neg.f64 x)))) #s(literal 918938533204673/1000000000000000 binary64))
(fma.f64 #s(literal -1/2 binary64) y (+.f64 (neg.f64 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) (neg.f64 (fma.f64 x (+.f64 x (*.f64 y #s(literal -1/2 binary64))) (*.f64 y (*.f64 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 (+.f64 x (*.f64 y #s(literal -1/2 binary64))) (*.f64 y (*.f64 y #s(literal 1/4 binary64)))))) #s(literal 918938533204673/1000000000000000 binary64))
(fma.f64 (fma.f64 x (+.f64 x (*.f64 y #s(literal -1/2 binary64))) (*.f64 y (*.f64 y #s(literal 1/4 binary64)))) (/.f64 (fma.f64 y #s(literal 1/2 binary64) x) (neg.f64 (fma.f64 x (+.f64 x (*.f64 y #s(literal -1/2 binary64))) (*.f64 y (*.f64 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) (*.f64 (fma.f64 y #s(literal 1/2 binary64) x) (fma.f64 y #s(literal 1/2 binary64) 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 (*.f64 (fma.f64 y #s(literal 1/2 binary64) 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)))))
(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 (neg.f64 x) #s(literal 918938533204673/1000000000000000 binary64)))
(fma.f64 (-.f64 (*.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) (neg.f64 (neg.f64 x)))) #s(literal 918938533204673/1000000000000000 binary64))
(fma.f64 (-.f64 (*.f64 y (*.f64 y #s(literal 1/4 binary64))) (*.f64 x x)) (neg.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 y #s(literal 1/2 binary64)) x))) #s(literal 918938533204673/1000000000000000 binary64))
(fma.f64 (neg.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 (+.f64 x (*.f64 y #s(literal -1/2 binary64))) (*.f64 y (*.f64 y #s(literal 1/4 binary64))))) #s(literal 918938533204673/1000000000000000 binary64))
(fma.f64 (neg.f64 (-.f64 (*.f64 y (*.f64 y #s(literal 1/4 binary64))) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 y #s(literal 1/2 binary64)) x)) #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) (fma.f64 (*.f64 y #s(literal 1/2 binary64)) (fma.f64 y #s(literal 1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64)) #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64))) (neg.f64 x))
(fma.f64 (neg.f64 (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (*.f64 x x)) (fma.f64 y #s(literal -1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64)))
(fma.f64 (neg.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 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (*.f64 y (*.f64 y #s(literal 1/4 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal 1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64))) (neg.f64 x))
(fma.f64 (neg.f64 y) #s(literal 1/2 binary64) (+.f64 (neg.f64 x) #s(literal 918938533204673/1000000000000000 binary64)))
(fma.f64 (/.f64 (neg.f64 (fma.f64 (*.f64 y (*.f64 y y)) #s(literal 1/8 binary64) (*.f64 x (*.f64 x x)))) (fma.f64 (*.f64 x (+.f64 x (*.f64 y #s(literal -1/2 binary64)))) (*.f64 x (*.f64 (+.f64 x (*.f64 y #s(literal -1/2 binary64))) (*.f64 x (+.f64 x (*.f64 y #s(literal -1/2 binary64)))))) (*.f64 #s(literal 1/64 binary64) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y)))))) (fma.f64 (*.f64 x (+.f64 x (*.f64 y #s(literal -1/2 binary64)))) (-.f64 (*.f64 x (+.f64 x (*.f64 y #s(literal -1/2 binary64)))) (*.f64 y (*.f64 y #s(literal 1/4 binary64)))) (*.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/16 binary64))) #s(literal 918938533204673/1000000000000000 binary64))
(fma.f64 (/.f64 (neg.f64 (fma.f64 (*.f64 y (*.f64 y y)) #s(literal 1/8 binary64) (*.f64 x (*.f64 x x)))) (fma.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/16 binary64) (*.f64 (neg.f64 (*.f64 x (+.f64 x (*.f64 y #s(literal -1/2 binary64))))) (*.f64 x (+.f64 x (*.f64 y #s(literal -1/2 binary64))))))) (-.f64 (*.f64 y (*.f64 y #s(literal 1/4 binary64))) (*.f64 x (+.f64 x (*.f64 y #s(literal -1/2 binary64))))) #s(literal 918938533204673/1000000000000000 binary64))
(fma.f64 (/.f64 (neg.f64 (-.f64 (*.f64 y (*.f64 y #s(literal 1/4 binary64))) (*.f64 x x))) (-.f64 (*.f64 y (*.f64 y #s(literal 1/4 binary64))) (*.f64 x x))) (fma.f64 y #s(literal 1/2 binary64) x) #s(literal 918938533204673/1000000000000000 binary64))
(fma.f64 (/.f64 (neg.f64 (-.f64 (*.f64 y (*.f64 y #s(literal 1/4 binary64))) (*.f64 x x))) (-.f64 (*.f64 (*.f64 y (*.f64 y y)) #s(literal 1/8 binary64)) (*.f64 x (*.f64 x x)))) (fma.f64 y (*.f64 y #s(literal 1/4 binary64)) (*.f64 x (fma.f64 y #s(literal 1/2 binary64) x))) #s(literal 918938533204673/1000000000000000 binary64))
(fma.f64 (/.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (fma.f64 (fma.f64 y #s(literal 1/2 binary64) x) (-.f64 (*.f64 y #s(literal -1/2 binary64)) x) #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64))) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y #s(literal 1/2 binary64) x)) (neg.f64 (/.f64 (*.f64 (fma.f64 y #s(literal 1/2 binary64) 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)))))
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(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal 1/2 binary64) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal 1/2 binary64) x)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x (*.f64 y #s(literal -1/2 binary64))) (fma.f64 x x (*.f64 #s(literal -1/4 binary64) (*.f64 y y)))))
(/.f64 (fma.f64 x x (*.f64 #s(literal -1/4 binary64) (*.f64 y y))) (+.f64 x (*.f64 y #s(literal -1/2 binary64))))
(/.f64 (fma.f64 #s(literal 1/64 binary64) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))) (neg.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))) (*.f64 (fma.f64 x (+.f64 x (*.f64 y #s(literal -1/2 binary64))) (*.f64 y (*.f64 y #s(literal 1/4 binary64)))) (-.f64 (*.f64 (*.f64 y (*.f64 y y)) #s(literal 1/8 binary64)) (*.f64 x (*.f64 x x)))))
(/.f64 (fma.f64 #s(literal 1/64 binary64) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))) (neg.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))) (*.f64 (-.f64 (*.f64 y #s(literal 1/2 binary64)) x) (fma.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/16 binary64) (*.f64 (*.f64 x x) (fma.f64 y (*.f64 y #s(literal 1/4 binary64)) (*.f64 x x))))))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/16 binary64)) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (-.f64 (*.f64 y #s(literal 1/2 binary64)) x) (fma.f64 y (*.f64 y #s(literal 1/4 binary64)) (*.f64 x x))))
(/.f64 (-.f64 (*.f64 (*.f64 y (*.f64 y #s(literal 1/4 binary64))) (-.f64 (*.f64 y #s(literal 1/2 binary64)) x)) (*.f64 (-.f64 (*.f64 y #s(literal 1/2 binary64)) x) (*.f64 x x))) (*.f64 (-.f64 (*.f64 y #s(literal 1/2 binary64)) x) (-.f64 (*.f64 y #s(literal 1/2 binary64)) x)))
(/.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))) (*.f64 y (*.f64 y y))) #s(literal 1/512 binary64))) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) (-.f64 (*.f64 x (*.f64 x x)) (*.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))))) (fma.f64 x (+.f64 x (*.f64 y #s(literal -1/2 binary64))) (*.f64 y (*.f64 y #s(literal 1/4 binary64))))))
(/.f64 (*.f64 (fma.f64 #s(literal 1/64 binary64) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))) (neg.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))) #s(literal 1 binary64)) (*.f64 (-.f64 (*.f64 (*.f64 y (*.f64 y y)) #s(literal 1/8 binary64)) (*.f64 x (*.f64 x x))) (fma.f64 x (+.f64 x (*.f64 y #s(literal -1/2 binary64))) (*.f64 y (*.f64 y #s(literal 1/4 binary64))))))
(/.f64 (*.f64 (fma.f64 #s(literal 1/64 binary64) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))) (neg.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/16 binary64) (*.f64 (*.f64 x x) (fma.f64 y (*.f64 y #s(literal 1/4 binary64)) (*.f64 x x)))) (-.f64 (*.f64 y #s(literal 1/2 binary64)) x)))
(/.f64 (*.f64 (fma.f64 (*.f64 y (*.f64 y y)) #s(literal 1/8 binary64) (*.f64 x (*.f64 x x))) #s(literal 1 binary64)) (fma.f64 x (+.f64 x (*.f64 y #s(literal -1/2 binary64))) (*.f64 y (*.f64 y #s(literal 1/4 binary64)))))
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/16 binary64)) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1 binary64)) (*.f64 (fma.f64 y (*.f64 y #s(literal 1/4 binary64)) (*.f64 x x)) (-.f64 (*.f64 y #s(literal 1/2 binary64)) x)))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 y (*.f64 y y)) #s(literal 1/8 binary64) (*.f64 x (*.f64 x x))))) (neg.f64 (neg.f64 (fma.f64 x (+.f64 x (*.f64 y #s(literal -1/2 binary64))) (*.f64 y (*.f64 y #s(literal 1/4 binary64)))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (*.f64 y (*.f64 y #s(literal 1/4 binary64))) (*.f64 x x)))) (neg.f64 (fma.f64 y #s(literal -1/2 binary64) (neg.f64 (neg.f64 x)))))
(/.f64 (neg.f64 (fma.f64 x x (*.f64 #s(literal -1/4 binary64) (*.f64 y y)))) (neg.f64 (+.f64 x (*.f64 y #s(literal -1/2 binary64)))))
(/.f64 (-.f64 (*.f64 (*.f64 (/.f64 (*.f64 y (*.f64 y #s(literal 1/4 binary64))) (-.f64 (*.f64 y #s(literal 1/2 binary64)) x)) (/.f64 (*.f64 y (*.f64 y #s(literal 1/4 binary64))) (-.f64 (*.f64 y #s(literal 1/2 binary64)) x))) (/.f64 (*.f64 y (*.f64 y #s(literal 1/4 binary64))) (-.f64 (*.f64 y #s(literal 1/2 binary64)) x))) (*.f64 (*.f64 (/.f64 (*.f64 x x) (-.f64 (*.f64 y #s(literal 1/2 binary64)) x)) (/.f64 (*.f64 x x) (-.f64 (*.f64 y #s(literal 1/2 binary64)) x))) (/.f64 (*.f64 x x) (-.f64 (*.f64 y #s(literal 1/2 binary64)) x)))) (fma.f64 (/.f64 (*.f64 y (*.f64 y #s(literal 1/4 binary64))) (-.f64 (*.f64 y #s(literal 1/2 binary64)) x)) (/.f64 (*.f64 y (*.f64 y #s(literal 1/4 binary64))) (-.f64 (*.f64 y #s(literal 1/2 binary64)) x)) (fma.f64 (/.f64 (*.f64 x x) (-.f64 (*.f64 y #s(literal 1/2 binary64)) x)) (/.f64 (*.f64 x x) (-.f64 (*.f64 y #s(literal 1/2 binary64)) x)) (*.f64 (/.f64 (*.f64 y (*.f64 y #s(literal 1/4 binary64))) (-.f64 (*.f64 y #s(literal 1/2 binary64)) x)) (/.f64 (*.f64 x x) (-.f64 (*.f64 y #s(literal 1/2 binary64)) x))))))
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 y (*.f64 y #s(literal 1/4 binary64))) (-.f64 (*.f64 y #s(literal 1/2 binary64)) x)) (/.f64 (*.f64 y (*.f64 y #s(literal 1/4 binary64))) (-.f64 (*.f64 y #s(literal 1/2 binary64)) x))) (*.f64 (/.f64 (*.f64 x x) (-.f64 (*.f64 y #s(literal 1/2 binary64)) x)) (/.f64 (*.f64 x x) (-.f64 (*.f64 y #s(literal 1/2 binary64)) x)))) (fma.f64 y (/.f64 (*.f64 y #s(literal 1/4 binary64)) (-.f64 (*.f64 y #s(literal 1/2 binary64)) x)) (/.f64 (*.f64 x x) (-.f64 (*.f64 y #s(literal 1/2 binary64)) x))))
(/.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))) (*.f64 y (*.f64 y y))) #s(literal 1/512 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x (*.f64 y #s(literal -1/2 binary64))) (*.f64 y (*.f64 y #s(literal 1/4 binary64)))))) (fma.f64 (*.f64 x (*.f64 x x)) (-.f64 (*.f64 x (*.f64 x x)) (*.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))))))
(/.f64 (*.f64 (fma.f64 #s(literal 1/64 binary64) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))) (neg.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))) (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x (*.f64 y #s(literal -1/2 binary64))) (*.f64 y (*.f64 y #s(literal 1/4 binary64)))))) (-.f64 (*.f64 (*.f64 y (*.f64 y y)) #s(literal 1/8 binary64)) (*.f64 x (*.f64 x x))))
(/.f64 (*.f64 (fma.f64 #s(literal 1/64 binary64) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))) (neg.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 y #s(literal 1/2 binary64)) x))) (fma.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/16 binary64) (*.f64 (*.f64 x x) (fma.f64 y (*.f64 y #s(literal 1/4 binary64)) (*.f64 x x)))))
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/16 binary64)) (*.f64 x (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 y #s(literal 1/2 binary64)) x))) (fma.f64 y (*.f64 y #s(literal 1/4 binary64)) (*.f64 x x)))
(pow.f64 (fma.f64 y #s(literal 1/2 binary64) x) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal 1/2 binary64) x)) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal 1/2 binary64) x)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 x (*.f64 y #s(literal -1/2 binary64))) (fma.f64 x x (*.f64 #s(literal -1/4 binary64) (*.f64 y y)))) #s(literal -1 binary64))
(*.f64 (fma.f64 y #s(literal 1/2 binary64) x) (*.f64 (-.f64 (*.f64 y #s(literal 1/2 binary64)) x) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 y #s(literal 1/2 binary64)) x))))
(*.f64 (fma.f64 y #s(literal 1/2 binary64) x) (/.f64 (-.f64 (*.f64 y #s(literal 1/2 binary64)) x) (-.f64 (*.f64 y #s(literal 1/2 binary64)) x)))
(*.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 (+.f64 x (*.f64 y #s(literal -1/2 binary64))) (*.f64 y (*.f64 y #s(literal 1/4 binary64))))))
(*.f64 (fma.f64 x (+.f64 x (*.f64 y #s(literal -1/2 binary64))) (*.f64 y (*.f64 y #s(literal 1/4 binary64)))) (*.f64 (fma.f64 y #s(literal 1/2 binary64) x) (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x (*.f64 y #s(literal -1/2 binary64))) (*.f64 y (*.f64 y #s(literal 1/4 binary64)))))))
(*.f64 (fma.f64 x (+.f64 x (*.f64 y #s(literal -1/2 binary64))) (*.f64 y (*.f64 y #s(literal 1/4 binary64)))) (/.f64 (fma.f64 y #s(literal 1/2 binary64) x) (fma.f64 x (+.f64 x (*.f64 y #s(literal -1/2 binary64))) (*.f64 y (*.f64 y #s(literal 1/4 binary64))))))
(*.f64 (-.f64 (*.f64 y (*.f64 y #s(literal 1/4 binary64))) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 y #s(literal 1/2 binary64)) x)))
(*.f64 (neg.f64 (fma.f64 (*.f64 y (*.f64 y y)) #s(literal 1/8 binary64) (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 x (+.f64 x (*.f64 y #s(literal -1/2 binary64))) (*.f64 y (*.f64 y #s(literal 1/4 binary64)))))))
(*.f64 (neg.f64 (-.f64 (*.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) (neg.f64 (neg.f64 x)))))
(*.f64 #s(literal 1 binary64) (fma.f64 y #s(literal 1/2 binary64) x))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x (*.f64 y #s(literal -1/2 binary64))) (*.f64 y (*.f64 y #s(literal 1/4 binary64))))) (fma.f64 (*.f64 y (*.f64 y y)) #s(literal 1/8 binary64) (*.f64 x (*.f64 x x))))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 y #s(literal 1/2 binary64)) x)) (-.f64 (*.f64 y (*.f64 y #s(literal 1/4 binary64))) (*.f64 x x)))
(*.f64 (fma.f64 x x (*.f64 #s(literal -1/4 binary64) (*.f64 y y))) (/.f64 #s(literal 1 binary64) (+.f64 x (*.f64 y #s(literal -1/2 binary64)))))
(*.f64 (/.f64 (-.f64 (*.f64 y (*.f64 y #s(literal 1/4 binary64))) (*.f64 x x)) (-.f64 (*.f64 y (*.f64 y #s(literal 1/4 binary64))) (*.f64 x x))) (fma.f64 y #s(literal 1/2 binary64) x))
(*.f64 (/.f64 (fma.f64 (*.f64 y (*.f64 y y)) #s(literal 1/8 binary64) (*.f64 x (*.f64 x x))) (fma.f64 (*.f64 x (+.f64 x (*.f64 y #s(literal -1/2 binary64)))) (*.f64 x (*.f64 (+.f64 x (*.f64 y #s(literal -1/2 binary64))) (*.f64 x (+.f64 x (*.f64 y #s(literal -1/2 binary64)))))) (*.f64 #s(literal 1/64 binary64) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y)))))) (fma.f64 (*.f64 x (+.f64 x (*.f64 y #s(literal -1/2 binary64)))) (-.f64 (*.f64 x (+.f64 x (*.f64 y #s(literal -1/2 binary64)))) (*.f64 y (*.f64 y #s(literal 1/4 binary64)))) (*.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/16 binary64))))
(*.f64 (/.f64 (fma.f64 (*.f64 y (*.f64 y y)) #s(literal 1/8 binary64) (*.f64 x (*.f64 x x))) (fma.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/16 binary64) (*.f64 (neg.f64 (*.f64 x (+.f64 x (*.f64 y #s(literal -1/2 binary64))))) (*.f64 x (+.f64 x (*.f64 y #s(literal -1/2 binary64))))))) (-.f64 (*.f64 y (*.f64 y #s(literal 1/4 binary64))) (*.f64 x (+.f64 x (*.f64 y #s(literal -1/2 binary64))))))
(*.f64 (/.f64 (-.f64 (*.f64 y (*.f64 y #s(literal 1/4 binary64))) (*.f64 x x)) (-.f64 (*.f64 (*.f64 y (*.f64 y y)) #s(literal 1/8 binary64)) (*.f64 x (*.f64 x x)))) (fma.f64 y (*.f64 y #s(literal 1/4 binary64)) (*.f64 x (fma.f64 y #s(literal 1/2 binary64) x))))
(+.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)) x)
(-.f64 (/.f64 #s(literal 0 binary64) x) (/.f64 (*.f64 x 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 (neg.f64 (*.f64 x x)) (/.f64 #s(literal 1 binary64) x) #s(literal 0 binary64))
(neg.f64 x)
(/.f64 (neg.f64 (*.f64 x (*.f64 x x))) (*.f64 x x))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) (neg.f64 (*.f64 x (*.f64 x x)))))
(/.f64 #s(literal 1 binary64) (/.f64 x (neg.f64 (*.f64 x x))))
(/.f64 (neg.f64 (*.f64 x x)) x)
(/.f64 (neg.f64 (neg.f64 (*.f64 x (*.f64 x x)))) (neg.f64 (*.f64 x x)))
(/.f64 (+.f64 #s(literal 0 binary64) (*.f64 (*.f64 (neg.f64 x) (neg.f64 x)) (neg.f64 x))) (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 (neg.f64 x) (neg.f64 x)) (*.f64 #s(literal 0 binary64) (neg.f64 x)))))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 x) (neg.f64 x))) (-.f64 #s(literal 0 binary64) (neg.f64 x)))
(/.f64 (neg.f64 (neg.f64 (*.f64 x x))) (neg.f64 x))
(pow.f64 (/.f64 (*.f64 x x) (neg.f64 (*.f64 x (*.f64 x x)))) #s(literal -1 binary64))
(pow.f64 (/.f64 x (neg.f64 (*.f64 x x))) #s(literal -1 binary64))
(*.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 (neg.f64 (*.f64 x x)) (/.f64 #s(literal 1 binary64) x))
(*.f64 y x)
(*.f64 x y)
(-.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))

simplify182.0ms (2.4%)

Memory
6.8MiB live, 323.9MiB allocated
Algorithm
1×egg-herbie
Rules
5 616×lower-fma.f64
5 616×lower-fma.f32
2 116×lower-*.f64
2 116×lower-*.f32
1 006×lower--.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
051378
1157378
2403378
31152378
43307378
54532378
66558378
77763378
08090341
Stop Event
1×iter limit
1×node limit
Counts
96 → 93
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)))
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* -1/2 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 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y #s(literal 1/2 binary64) x))
(- (+ 918938533204673/1000000000000000 (* -1/2 y)) x)
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y #s(literal 1/2 binary64) x))
(- (+ 918938533204673/1000000000000000 (* -1/2 y)) x)
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y #s(literal 1/2 binary64) x))
(* -1/2 y)
(*.f64 #s(literal -1/2 binary64) y)
(* y (- (* 918938533204673/1000000000000000 (/ 1 y)) (+ 1/2 (/ x y))))
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y #s(literal 1/2 binary64) x))
(* y (- (* 918938533204673/1000000000000000 (/ 1 y)) (+ 1/2 (/ x y))))
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y #s(literal 1/2 binary64) x))
(* y (- (* 918938533204673/1000000000000000 (/ 1 y)) (+ 1/2 (/ x y))))
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y #s(literal 1/2 binary64) x))
(* -1/2 y)
(*.f64 #s(literal -1/2 binary64) y)
(* -1 (* y (+ 1/2 (* -1 (/ (- 918938533204673/1000000000000000 x) y)))))
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y #s(literal 1/2 binary64) x))
(* -1 (* y (+ 1/2 (* -1 (/ (- 918938533204673/1000000000000000 x) y)))))
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y #s(literal 1/2 binary64) x))
(* -1 (* y (+ 1/2 (* -1 (/ (- 918938533204673/1000000000000000 x) y)))))
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y #s(literal 1/2 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 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y #s(literal 1/2 binary64) x))
(- (+ 918938533204673/1000000000000000 (* -1 x)) (* 1/2 y))
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y #s(literal 1/2 binary64) x))
(- (+ 918938533204673/1000000000000000 (* -1 x)) (* 1/2 y))
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y #s(literal 1/2 binary64) x))
(* -1 x)
(neg.f64 x)
(* x (- (* 918938533204673/1000000000000000 (/ 1 x)) (+ 1 (* 1/2 (/ y x)))))
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y #s(literal 1/2 binary64) x))
(* x (- (* 918938533204673/1000000000000000 (/ 1 x)) (+ 1 (* 1/2 (/ y x)))))
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y #s(literal 1/2 binary64) x))
(* x (- (* 918938533204673/1000000000000000 (/ 1 x)) (+ 1 (* 1/2 (/ y x)))))
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y #s(literal 1/2 binary64) x))
(* -1 x)
(neg.f64 x)
(* -1 (* x (+ 1 (* -1 (/ (- 918938533204673/1000000000000000 (* 1/2 y)) x)))))
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y #s(literal 1/2 binary64) x))
(* -1 (* x (+ 1 (* -1 (/ (- 918938533204673/1000000000000000 (* 1/2 y)) x)))))
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y #s(literal 1/2 binary64) x))
(* -1 (* x (+ 1 (* -1 (/ (- 918938533204673/1000000000000000 (* 1/2 y)) x)))))
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y #s(literal 1/2 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)
(* -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)
(* 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)
(* -1/2 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)

eval72.0ms (0.9%)

Memory
-2.1MiB live, 89.6MiB allocated
Compiler

Compiled 6 838 to 638 computations (90.7% saved)

prune125.0ms (1.6%)

Memory
-10.2MiB live, 68.2MiB allocated
Pruning

11 alts after pruning (1 fresh and 10 done)

PrunedKeptTotal
New3170317
Fresh011
Picked055
Done055
Total31711328
Accuracy
100.0%
Counts
328 → 11
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶45.9%
(fma.f64 y x (*.f64 y #s(literal -1/2 binary64)))
✓50.5%
(fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64))
✓50.0%
(-.f64 (*.f64 y x) x)
✓100.0%
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x))
✓75.7%
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y #s(literal 1/2 binary64) x))
✓55.4%
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)
✓45.9%
(*.f64 y (+.f64 #s(literal -1/2 binary64) x))
✓22.6%
(*.f64 y #s(literal -1/2 binary64))
✓25.3%
(*.f64 x y)
✓26.6%
(neg.f64 x)
✓30.0%
#s(literal 918938533204673/1000000000000000 binary64)
Compiler

Compiled 68 to 49 computations (27.9% saved)

simplify4.0ms (0.1%)

Memory
6.8MiB live, 6.8MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 2 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)))
Rules
12×lower-*.f32
10×lower-*.f64
8×lower-+.f64
8×lower-fma.f32
8×lower-+.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0512
0811
11311
21611
01611
Stop Event
1×iter limit
1×saturated
1×iter limit
Calls
Call 1
Inputs
(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
(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)

localize39.0ms (0.5%)

Memory
-5.9MiB live, 33.7MiB allocated
Localize:

Found 2 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))
Samples
33.0ms256×0valid
Compiler

Compiled 15 to 8 computations (46.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 27.0ms
ival-mult: 25.0ms (93.3% of total)
ival-add: 1.0ms (3.7% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series1.0ms (0%)

Memory
2.2MiB live, 2.2MiB allocated
Counts
2 → 36
Calls
Call 1
Inputs
#<alt (fma.f64 y x (*.f64 y #s(literal -1/2 binary64)))>
#<alt (*.f64 y #s(literal -1/2 binary64))>
Outputs
#<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

9 calls:

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

rewrite709.0ms (9.2%)

Memory
29.1MiB live, 666.9MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
10 244×lower-fma.f32
10 242×lower-fma.f64
4 484×lower-/.f64
4 484×lower-/.f32
4 384×lower-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
059
088
1268
21938
319988
082108
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
2 → 211
Calls
Call 1
Inputs
(fma.f64 y x (*.f64 y #s(literal -1/2 binary64)))
(*.f64 y #s(literal -1/2 binary64))
Outputs
(+.f64 (*.f64 y #s(literal -1/2 binary64)) (*.f64 y x))
(+.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))))))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (+.f64 x #s(literal -1/2 binary64))))) #s(literal -1 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 #s(literal -1/2 binary64) x))) (/.f64 (*.f64 y (*.f64 y (*.f64 x x))) (*.f64 y (-.f64 #s(literal -1/2 binary64) x))))
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 y x) (*.f64 (*.f64 (*.f64 y (*.f64 y x)) (*.f64 y (*.f64 x x))) (*.f64 y (*.f64 y (*.f64 x x))))) (*.f64 (*.f64 y (*.f64 y y)) (-.f64 (*.f64 x (*.f64 x x)) #s(literal -1/8 binary64)))) (fma.f64 (*.f64 y x) (*.f64 y (+.f64 x #s(literal 1/2 binary64))) (*.f64 y (*.f64 y #s(literal 1/4 binary64))))) (/.f64 (/.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 1/64 binary64))) (*.f64 (*.f64 y (*.f64 y y)) (-.f64 (*.f64 x (*.f64 x x)) #s(literal -1/8 binary64)))) (fma.f64 (*.f64 y x) (*.f64 y (+.f64 x #s(literal 1/2 binary64))) (*.f64 y (*.f64 y #s(literal 1/4 binary64))))))
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 y x) (*.f64 (*.f64 (*.f64 y (*.f64 y x)) (*.f64 y (*.f64 x x))) (*.f64 y (*.f64 y (*.f64 x x))))) (fma.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 (*.f64 y (*.f64 x x)) (*.f64 y (*.f64 y (*.f64 x x))))))) (*.f64 y (+.f64 x #s(literal 1/2 binary64)))) (/.f64 (/.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 1/64 binary64))) (fma.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 (*.f64 y (*.f64 x x)) (*.f64 y (*.f64 y (*.f64 x x))))))) (*.f64 y (+.f64 x #s(literal 1/2 binary64)))))
(-.f64 (/.f64 (/.f64 (*.f64 y (*.f64 (*.f64 y (*.f64 x x)) (*.f64 y (*.f64 y (*.f64 x x))))) (*.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 #s(literal 1/16 binary64) (*.f64 (*.f64 y y) (*.f64 y y))) (*.f64 (*.f64 y y) (fma.f64 x x #s(literal 1/4 binary64)))) (*.f64 y (+.f64 x #s(literal 1/2 binary64)))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (fma.f64 (*.f64 y x) (*.f64 y (+.f64 x #s(literal 1/2 binary64))) (*.f64 y (*.f64 y #s(literal 1/4 binary64)))))) (/.f64 (*.f64 (*.f64 y (*.f64 y y)) (fma.f64 x (*.f64 x x) #s(literal -1/8 binary64))) (neg.f64 (fma.f64 (*.f64 y x) (*.f64 y (+.f64 x #s(literal 1/2 binary64))) (*.f64 y (*.f64 y #s(literal 1/4 binary64)))))))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (neg.f64 y) (+.f64 x #s(literal 1/2 binary64)))) (/.f64 (*.f64 (*.f64 y y) (fma.f64 x x #s(literal -1/4 binary64))) (*.f64 (neg.f64 y) (+.f64 x #s(literal 1/2 binary64)))))
(-.f64 (/.f64 (*.f64 (*.f64 y x) (*.f64 (*.f64 (*.f64 y (*.f64 y x)) (*.f64 y (*.f64 x x))) (*.f64 y (*.f64 y (*.f64 x x))))) (*.f64 (fma.f64 (*.f64 y x) (*.f64 y (+.f64 x #s(literal 1/2 binary64))) (*.f64 y (*.f64 y #s(literal 1/4 binary64)))) (*.f64 (*.f64 y (*.f64 y y)) (-.f64 (*.f64 x (*.f64 x x)) #s(literal -1/8 binary64))))) (/.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 1/64 binary64))) (*.f64 (fma.f64 (*.f64 y x) (*.f64 y (+.f64 x #s(literal 1/2 binary64))) (*.f64 y (*.f64 y #s(literal 1/4 binary64)))) (*.f64 (*.f64 y (*.f64 y y)) (-.f64 (*.f64 x (*.f64 x x)) #s(literal -1/8 binary64))))))
(-.f64 (/.f64 (*.f64 (*.f64 y x) (*.f64 (*.f64 (*.f64 y (*.f64 y x)) (*.f64 y (*.f64 x x))) (*.f64 y (*.f64 y (*.f64 x x))))) (*.f64 (*.f64 y (+.f64 x #s(literal 1/2 binary64))) (fma.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 (*.f64 y (*.f64 x x)) (*.f64 y (*.f64 y (*.f64 x x)))))))) (/.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 1/64 binary64))) (*.f64 (*.f64 y (+.f64 x #s(literal 1/2 binary64))) (fma.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 (*.f64 y (*.f64 x x)) (*.f64 y (*.f64 y (*.f64 x x)))))))))
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(*.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))))
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(*.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 #s(literal 1 binary64) (fma.f64 (*.f64 y (*.f64 y x)) (/.f64 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 #s(literal 1 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 #s(literal 1 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)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y x) (*.f64 y (+.f64 x #s(literal 1/2 binary64))) (*.f64 y (*.f64 y #s(literal 1/4 binary64))))))
(*.f64 (/.f64 (fma.f64 (*.f64 (*.f64 y (*.f64 y x)) (*.f64 y (*.f64 x x))) (*.f64 (*.f64 y x) (*.f64 (*.f64 (*.f64 y (*.f64 y x)) (*.f64 y (*.f64 x x))) (*.f64 y (*.f64 y (*.f64 x x))))) (*.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y)))) #s(literal -1/512 binary64))) (fma.f64 (*.f64 y x) (*.f64 y (+.f64 x #s(literal 1/2 binary64))) (*.f64 y (*.f64 y #s(literal 1/4 binary64))))) (/.f64 #s(literal 1 binary64) (fma.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 (*.f64 y x)) (*.f64 y (*.f64 x x)))) (*.f64 (*.f64 y x) (*.f64 (*.f64 (*.f64 y (*.f64 y x)) (*.f64 y (*.f64 x x))) (*.f64 y (*.f64 y (*.f64 x 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)) (-.f64 (*.f64 x (*.f64 x x)) #s(literal -1/8 binary64)))) (fma.f64 (*.f64 y x) (*.f64 y (+.f64 x #s(literal 1/2 binary64))) (*.f64 y (*.f64 y #s(literal 1/4 binary64))))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y (*.f64 y y)) (-.f64 (*.f64 x (*.f64 x x)) #s(literal -1/8 binary64)))))
(*.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)) (-.f64 (*.f64 x (*.f64 x x)) #s(literal -1/8 binary64)))) (*.f64 y (+.f64 x #s(literal 1/2 binary64)))) (/.f64 #s(literal 1 binary64) (fma.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 (*.f64 y (*.f64 x x)) (*.f64 y (*.f64 y (*.f64 x x))))))))
(*.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)))) (*.f64 y (+.f64 x #s(literal 1/2 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) (fma.f64 x x #s(literal 1/4 binary64)))))
(*.f64 (*.f64 (fma.f64 x (*.f64 x x) #s(literal -1/8 binary64)) y) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x x #s(literal 1/4 binary64)) (*.f64 x #s(literal -1/2 binary64)))))
(*.f64 (*.f64 (fma.f64 x x #s(literal -1/4 binary64)) y) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1/2 binary64))))
(*.f64 (/.f64 (*.f64 (*.f64 y y) (fma.f64 x x #s(literal -1/4 binary64))) y) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1/2 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 (/.f64 (+.f64 x #s(literal 1/2 binary64)) (*.f64 (*.f64 y y) (fma.f64 x x #s(literal -1/4 binary64)))) #s(literal -1 binary64)))
(*.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)))) (*.f64 y (+.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))) (fma.f64 (*.f64 y x) (*.f64 (*.f64 (*.f64 y (*.f64 y x)) (*.f64 y (*.f64 x x))) (*.f64 y (*.f64 y (*.f64 x x)))) (*.f64 (*.f64 (*.f64 y (*.f64 y y)) #s(literal -1/8 binary64)) (*.f64 (*.f64 y (-.f64 #s(literal -1/2 binary64) x)) (*.f64 (*.f64 y (-.f64 #s(literal -1/2 binary64) x)) (*.f64 y (-.f64 #s(literal -1/2 binary64) x))))))) (fma.f64 y (*.f64 (*.f64 y (*.f64 x x)) (*.f64 y (*.f64 y (*.f64 x x)))) (*.f64 (*.f64 (*.f64 y (*.f64 y #s(literal -1/2 binary64))) (-.f64 #s(literal -1/2 binary64) x)) (-.f64 (*.f64 (*.f64 y (*.f64 y #s(literal -1/2 binary64))) (-.f64 #s(literal -1/2 binary64) x)) (*.f64 y (*.f64 y (*.f64 x x)))))))
(*.f64 (/.f64 (*.f64 (*.f64 y (*.f64 y y)) (fma.f64 x (*.f64 x x) #s(literal -1/8 binary64))) (*.f64 (fma.f64 (*.f64 y x) (*.f64 y (+.f64 x #s(literal 1/2 binary64))) (*.f64 y (*.f64 y #s(literal 1/4 binary64)))) (fma.f64 (*.f64 y y) (fma.f64 x x #s(literal -1/4 binary64)) (*.f64 x (*.f64 y (*.f64 y #s(literal -1/2 binary64))))))) (fma.f64 (*.f64 y y) (fma.f64 x x #s(literal -1/4 binary64)) (*.f64 x (*.f64 y (*.f64 y #s(literal -1/2 binary64))))))
(*.f64 (/.f64 (*.f64 (*.f64 y y) (fma.f64 x x #s(literal -1/4 binary64))) (*.f64 (*.f64 y (*.f64 y y)) (-.f64 (*.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 x (*.f64 y (*.f64 y #s(literal -1/2 binary64))))))
(*.f64 (pow.f64 (/.f64 y (*.f64 y (+.f64 x #s(literal -1/2 binary64)))) #s(literal -1 binary64)) (pow.f64 (/.f64 (+.f64 x #s(literal 1/2 binary64)) (*.f64 y (+.f64 x #s(literal 1/2 binary64)))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.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))) (*.f64 (*.f64 y (*.f64 y y)) (-.f64 (*.f64 x (*.f64 x x)) #s(literal -1/8 binary64))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.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 (*.f64 y (*.f64 x x)) (*.f64 y (*.f64 y (*.f64 x x))))))))
(*.f64 (pow.f64 (/.f64 (*.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 y) (fma.f64 x x #s(literal -1/4 binary64))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) (fma.f64 x x #s(literal 1/4 binary64)))))
(*.f64 (pow.f64 (/.f64 (fma.f64 (*.f64 y x) (*.f64 y (+.f64 x #s(literal 1/2 binary64))) (*.f64 y (*.f64 y #s(literal 1/4 binary64)))) (fma.f64 (*.f64 (*.f64 y (*.f64 y x)) (*.f64 y (*.f64 x x))) (*.f64 (*.f64 y x) (*.f64 (*.f64 (*.f64 y (*.f64 y x)) (*.f64 y (*.f64 x x))) (*.f64 y (*.f64 y (*.f64 x x))))) (*.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y)))) #s(literal -1/512 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.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 (*.f64 y x)) (*.f64 y (*.f64 x x)))) (*.f64 (*.f64 y x) (*.f64 (*.f64 (*.f64 y (*.f64 y x)) (*.f64 y (*.f64 x x))) (*.f64 y (*.f64 y (*.f64 x x))))))))
(*.f64 (pow.f64 (/.f64 (fma.f64 (*.f64 y x) (*.f64 y (+.f64 x #s(literal 1/2 binary64))) (*.f64 y (*.f64 y #s(literal 1/4 binary64)))) (*.f64 (*.f64 (*.f64 y (*.f64 y y)) (fma.f64 x (*.f64 x x) #s(literal -1/8 binary64))) (*.f64 (*.f64 y (*.f64 y y)) (-.f64 (*.f64 x (*.f64 x x)) #s(literal -1/8 binary64))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y (*.f64 y y)) (-.f64 (*.f64 x (*.f64 x x)) #s(literal -1/8 binary64)))))
(exp.f64 (log.f64 (*.f64 y #s(literal -1/2 binary64))))
(exp.f64 (*.f64 (log.f64 (*.f64 y #s(literal -1/2 binary64))) #s(literal 1 binary64)))
(pow.f64 (*.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64))
(*.f64 y #s(literal -1/2 binary64))
(*.f64 #s(literal -1/2 binary64) y)
(*.f64 #s(literal -1/2 binary64) (pow.f64 y #s(literal 1 binary64)))
(*.f64 (pow.f64 y #s(literal 1 binary64)) #s(literal -1/2 binary64))
(*.f64 (exp.f64 (log.f64 y)) (exp.f64 (log.f64 #s(literal -1/2 binary64))))
(*.f64 (exp.f64 (log.f64 #s(literal -1/2 binary64))) (exp.f64 (log.f64 y)))

simplify249.0ms (3.2%)

Memory
-15.8MiB live, 341.0MiB allocated
Algorithm
1×egg-herbie
Rules
3 344×lower-fma.f64
3 344×lower-fma.f32
2 256×lower-*.f64
2 256×lower-*.f32
1 200×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
023150
168150
2177150
3343150
4647150
52252150
63490150
74066150
84340150
94371150
104373150
115226150
126338150
136762150
147038150
157088150
167088150
177660150
187822150
197978150
08006150
Stop Event
1×iter limit
1×node limit
Counts
36 → 36
Calls
Call 1
Inputs
(* 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
(* 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 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 y x)
(* 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 y x)
(* -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 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))

eval28.0ms (0.4%)

Memory
6.6MiB live, 84.1MiB allocated
Compiler

Compiled 9 047 to 607 computations (93.3% saved)

prune34.0ms (0.4%)

Memory
8.0MiB live, 93.5MiB allocated
Pruning

11 alts after pruning (0 fresh and 11 done)

PrunedKeptTotal
New2470247
Fresh000
Picked011
Done01010
Total24711258
Accuracy
100.0%
Counts
258 → 11
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓45.9%
(fma.f64 y x (*.f64 y #s(literal -1/2 binary64)))
✓50.5%
(fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64))
✓50.0%
(-.f64 (*.f64 y x) x)
✓100.0%
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x))
✓75.7%
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y #s(literal 1/2 binary64) x))
✓55.4%
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)
✓45.9%
(*.f64 y (+.f64 #s(literal -1/2 binary64) x))
✓22.6%
(*.f64 y #s(literal -1/2 binary64))
✓25.3%
(*.f64 x y)
✓26.6%
(neg.f64 x)
✓30.0%
#s(literal 918938533204673/1000000000000000 binary64)
Compiler

Compiled 136 to 79 computations (41.9% saved)

regimes20.0ms (0.3%)

Memory
-22.9MiB live, 55.9MiB allocated
Counts
13 → 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 y (+.f64 #s(literal -1/2 binary64) x))
(-.f64 (*.f64 y x) x)
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y #s(literal 1/2 binary64) 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 (-.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 y #s(literal 1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64))
Calls

4 calls:

5.0ms
(-.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 y #s(literal 1/2 binary64)))
5.0ms
x
5.0ms
y
4.0ms
(+.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)

regimes19.0ms (0.2%)

Memory
16.6MiB live, 56.1MiB allocated
Counts
12 → 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 y (+.f64 #s(literal -1/2 binary64) x))
(-.f64 (*.f64 y x) x)
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y #s(literal 1/2 binary64) 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)))
Outputs
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x))
Calls

4 calls:

5.0ms
y
4.0ms
x
4.0ms
(-.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 y #s(literal 1/2 binary64)))
4.0ms
(+.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)

regimes17.0ms (0.2%)

Memory
5.5MiB live, 47.1MiB 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 y (+.f64 #s(literal -1/2 binary64) x))
(-.f64 (*.f64 y x) x)
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y #s(literal 1/2 binary64) x))
(fma.f64 y x (*.f64 y #s(literal -1/2 binary64)))
Outputs
(-.f64 (*.f64 y x) x)
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y #s(literal 1/2 binary64) x))
(-.f64 (*.f64 y x) x)
Calls

4 calls:

4.0ms
(+.f64 (-.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 y #s(literal 1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64))
4.0ms
x
4.0ms
(-.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 y #s(literal 1/2 binary64)))
4.0ms
y
Results
AccuracySegmentsBranch
98.7%3x
98.7%3y
91.0%3(+.f64 (-.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 y #s(literal 1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64))
91.0%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)

regimes8.0ms (0.1%)

Memory
-16.6MiB live, 22.8MiB 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 y (+.f64 #s(literal -1/2 binary64) x))
(-.f64 (*.f64 y x) 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:

4.0ms
x
3.0ms
y
Results
AccuracySegmentsBranch
98.2%3y
97.2%3x
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes12.0ms (0.2%)

Memory
-6.2MiB live, 33.3MiB allocated
Counts
6 → 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))
Outputs
(*.f64 x y)
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)
(fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64))
Calls

4 calls:

3.0ms
(-.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 y #s(literal 1/2 binary64)))
3.0ms
y
3.0ms
x
3.0ms
(+.f64 (-.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 y #s(literal 1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64))
Results
AccuracySegmentsBranch
73.8%5(+.f64 (-.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 y #s(literal 1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64))
73.8%5(-.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 y #s(literal 1/2 binary64)))
79.6%5x
78.2%3y
Compiler

Compiled 30 to 22 computations (26.7% saved)

regimes3.0ms (0%)

Memory
8.2MiB live, 8.2MiB allocated
Counts
5 → 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))
Outputs
(*.f64 x y)
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)
(*.f64 y #s(literal -1/2 binary64))
Calls

1 calls:

2.0ms
y
Results
AccuracySegmentsBranch
77.8%3y
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes3.0ms (0%)

Memory
11.0MiB live, 11.0MiB 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
77.7%3y
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes9.0ms (0.1%)

Memory
-7.8MiB live, 31.6MiB 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:

2.0ms
x
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))
2.0ms
(-.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 y #s(literal 1/2 binary64)))
Results
AccuracySegmentsBranch
55.4%1(+.f64 (-.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 y #s(literal 1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64))
55.4%1(-.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 y #s(literal 1/2 binary64)))
55.4%1x
55.4%1y
Compiler

Compiled 30 to 22 computations (26.7% saved)

regimes8.0ms (0.1%)

Memory
-14.0MiB live, 26.5MiB 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:

3.0ms
(+.f64 (-.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 y #s(literal 1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64))
2.0ms
x
2.0ms
y
2.0ms
(-.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 y #s(literal 1/2 binary64)))
Results
AccuracySegmentsBranch
53.7%3(+.f64 (-.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 y #s(literal 1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64))
53.7%3(-.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 y #s(literal 1/2 binary64)))
53.7%3x
36.2%3y
Compiler

Compiled 30 to 22 computations (26.7% saved)

regimes6.0ms (0.1%)

Memory
21.5MiB live, 21.5MiB 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 (*.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 y #s(literal 1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64))
1.0ms
x
1.0ms
(-.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 y #s(literal 1/2 binary64)))
1.0ms
y
Results
AccuracySegmentsBranch
30.0%1y
30.0%1x
30.0%1(+.f64 (-.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 y #s(literal 1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64))
30.0%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)

bsearch41.0ms (0.5%)

Memory
4.0MiB live, 122.6MiB allocated
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
16.0ms
265833427933650.4
5.966676498028664e+19
21.0ms
-1.4349653256571003e+24
-58.5447390916636
Samples
23.0ms320×0valid
Compiler

Compiled 356 to 255 computations (28.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 15.0ms
const: 5.0ms (33.1% of total)
ival-mult: 4.0ms (26.5% of total)
ival-sub: 3.0ms (19.9% of total)
ival-add: 1.0ms (6.6% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch39.0ms (0.5%)

Memory
-0.6MiB live, 119.4MiB allocated
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
16.0ms
0.014651066358594264
4797.70495765051
20.0ms
-38021858.57049342
-2.069987275395606e-6
Samples
22.0ms304×0valid
Compiler

Compiled 282 to 224 computations (20.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 15.0ms
const: 6.0ms (40.1% of total)
ival-mult: 4.0ms (26.7% of total)
ival-sub: 3.0ms (20.1% of total)
ival-add: 1.0ms (6.7% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch28.0ms (0.4%)

Memory
-4.1MiB live, 78.8MiB allocated
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
14.0ms
0.014651066358594264
4797.70495765051
12.0ms
-38021858.57049342
-2.069987275395606e-6
Samples
16.0ms208×0valid
Compiler

Compiled 253 to 204 computations (19.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 9.0ms
ival-mult: 3.0ms (32.1% of total)
const: 3.0ms (32.1% of total)
ival-sub: 2.0ms (21.4% of total)
ival-add: 1.0ms (10.7% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch13.0ms (0.2%)

Memory
-0.9MiB live, 38.3MiB allocated
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
11.0ms
0.014651066358594264
4797.70495765051
1.0ms
-38021858.57049342
-2.069987275395606e-6
Samples
7.0ms96×0valid
Compiler

Compiled 244 to 195 computations (20.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 4.0ms
const: 2.0ms (46.8% of total)
ival-sub: 1.0ms (23.4% of total)
ival-mult: 1.0ms (23.4% of total)
ival-true: 0.0ms (0% of total)
ival-add: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch2.0ms (0%)

Memory
5.0MiB live, 5.0MiB allocated
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
1.0ms
0.014651066358594264
4797.70495765051
1.0ms
-38021858.57049342
-2.069987275395606e-6
Compiler

Compiled 244 to 186 computations (23.8% saved)

bsearch0.0ms (0%)

Memory
0.8MiB live, 0.8MiB allocated
Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
0.00223873252938732
58.5447390916636
0.0ms
-1001.2595430100291
-0.0002828120651731609
Compiler

Compiled 16 to 15 computations (6.3% saved)

simplify11.0ms (0.1%)

Memory
-0.8MiB live, 38.7MiB allocated
Algorithm
1×egg-herbie
Rules
50×unsub-neg_binary64
38×neg-mul-1_binary64
34×+-commutative_binary64
28×*-commutative_binary64
28×sub-neg_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
055149
183149
2107149
3123149
4154149
5205149
6206149
Stop Event
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))
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x))
(if (<=.f64 x #s(literal -4500000 binary64)) (-.f64 (*.f64 y x) x) (if (<=.f64 x #s(literal 270000000000000 binary64)) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y #s(literal 1/2 binary64) x)) (-.f64 (*.f64 y x) x)))
(if (<=.f64 y #s(literal -3039929748475085/2251799813685248 binary64)) (*.f64 y (+.f64 #s(literal -1/2 binary64) x)) (if (<=.f64 y #s(literal 4728779608739021/4503599627370496 binary64)) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) (*.f64 y (+.f64 #s(literal -1/2 binary64) x))))
(if (<=.f64 y #s(literal -4841369599423283/562949953421312 binary64)) (*.f64 x y) (if (<=.f64 y #s(literal 2132904783522667/144115188075855872 binary64)) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) (fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64))))
(if (<=.f64 y #s(literal -4841369599423283/562949953421312 binary64)) (*.f64 x y) (if (<=.f64 y #s(literal 8196551321814303/4503599627370496 binary64)) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) (*.f64 y #s(literal -1/2 binary64))))
(if (<=.f64 y #s(literal -4841369599423283/562949953421312 binary64)) (*.f64 x y) (if (<=.f64 y #s(literal 4728779608739021/4503599627370496 binary64)) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) (*.f64 x y)))
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)
(if (<=.f64 (-.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 y #s(literal 1/2 binary64))) #s(literal -1000 binary64)) (neg.f64 x) (if (<=.f64 (-.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 y #s(literal 1/2 binary64))) #s(literal 1152921504606847/288230376151711744 binary64)) #s(literal 918938533204673/1000000000000000 binary64) (neg.f64 x)))
#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 (-.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))
(if (<=.f64 x #s(literal -4500000 binary64)) (-.f64 (*.f64 y x) x) (if (<=.f64 x #s(literal 270000000000000 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 -4500000 binary64)) (-.f64 (*.f64 x y) x) (if (<=.f64 x #s(literal 270000000000000 binary64)) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y #s(literal 1/2 binary64) x)) (-.f64 (*.f64 x y) x)))
(if (<=.f64 y #s(literal -3039929748475085/2251799813685248 binary64)) (*.f64 y (+.f64 #s(literal -1/2 binary64) x)) (if (<=.f64 y #s(literal 4728779608739021/4503599627370496 binary64)) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) (*.f64 y (+.f64 #s(literal -1/2 binary64) x))))
(if (<=.f64 y #s(literal -3039929748475085/2251799813685248 binary64)) (*.f64 y (+.f64 x #s(literal -1/2 binary64))) (if (<=.f64 y #s(literal 4728779608739021/4503599627370496 binary64)) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) (*.f64 y (+.f64 x #s(literal -1/2 binary64)))))
(if (<=.f64 y #s(literal -4841369599423283/562949953421312 binary64)) (*.f64 x y) (if (<=.f64 y #s(literal 2132904783522667/144115188075855872 binary64)) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) (fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64))))
(if (<=.f64 y #s(literal -4841369599423283/562949953421312 binary64)) (*.f64 x y) (if (<=.f64 y #s(literal 8196551321814303/4503599627370496 binary64)) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) (*.f64 y #s(literal -1/2 binary64))))
(if (<=.f64 y #s(literal -4841369599423283/562949953421312 binary64)) (*.f64 x y) (if (<=.f64 y #s(literal 4728779608739021/4503599627370496 binary64)) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) (*.f64 x y)))
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)
(if (<=.f64 (-.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 y #s(literal 1/2 binary64))) #s(literal -1000 binary64)) (neg.f64 x) (if (<=.f64 (-.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 y #s(literal 1/2 binary64))) #s(literal 1152921504606847/288230376151711744 binary64)) #s(literal 918938533204673/1000000000000000 binary64) (neg.f64 x)))
(if (<=.f64 (-.f64 (*.f64 x (+.f64 y #s(literal -1 binary64))) (*.f64 y #s(literal 1/2 binary64))) #s(literal -1000 binary64)) (neg.f64 x) (if (<=.f64 (-.f64 (*.f64 x (+.f64 y #s(literal -1 binary64))) (*.f64 y #s(literal 1/2 binary64))) #s(literal 1152921504606847/288230376151711744 binary64)) #s(literal 918938533204673/1000000000000000 binary64) (neg.f64 x)))
#s(literal 918938533204673/1000000000000000 binary64)

soundness1.3s (16.6%)

Memory
-23.4MiB live, 619.4MiB allocated
Rules
11 900×lower-fma.f64
11 900×lower-fma.f32
8 060×lower-fma.f64
8 060×lower-fma.f32
3 162×lower-*.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0103808
1324808
2893785
32674785
45829785
57235785
08101739
076593
1232592
2695520
31796520
46373520
08167501
Stop Event
1×done
1×iter limit
1×node limit
1×iter limit
1×node limit
Compiler

Compiled 276 to 148 computations (46.4% saved)

preprocess54.0ms (0.7%)

Memory
16.5MiB live, 174.7MiB allocated
Compiler

Compiled 328 to 128 computations (61% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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