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

Time bar (total: 7.3s)

analyze0.0ms (0%)

Memory
0.3MiB live, 0.3MiB 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)

sample1.5s (20.4%)

Memory
-108.4MiB live, 1 745.3MiB allocated
Samples
926.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 633.0ms
const: 238.0ms (37.6% of total)
ival-sub: 226.0ms (35.7% of total)
ival-mult: 113.0ms (17.9% of total)
ival-add: 36.0ms (5.7% of total)
exact: 9.0ms (1.4% of total)
ival-true: 7.0ms (1.1% of total)
ival-assert: 4.0ms (0.6% of total)
Bogosity

preprocess138.0ms (1.9%)

Memory
13.4MiB live, 129.8MiB allocated
Algorithm
1×egg-herbie
Rules
1 376×lower-fma.f64
1 376×lower-fma.f32
670×sub-neg
472×unsub-neg
462×distribute-rgt-in
Iterations

Useful iterations: 0 (0.0ms)

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

explain118.0ms (1.6%)

Memory
-26.3MiB live, 249.8MiB 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
42.0ms512×0valid
Compiler

Compiled 102 to 44 computations (56.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 25.0ms
const: 9.0ms (36.1% of total)
ival-sub: 6.0ms (24% of total)
ival-mult: 6.0ms (24% of total)
ival-add: 2.0ms (8% of total)
exact: 1.0ms (4% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

eval0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated
Compiler

Compiled 2 to 2 computations (0% saved)

prune1.0ms (0%)

Memory
0.9MiB live, 0.9MiB 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)

simplify64.0ms (0.9%)

Memory
-19.1MiB live, 80.5MiB 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)

localize33.0ms (0.4%)

Memory
15.2MiB live, 52.4MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(*.f64 y #s(literal 1/2 binary64))
✓accuracy100.0%
(*.f64 x (-.f64 y #s(literal 1 binary64)))
✓accuracy100.0%
(-.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 y #s(literal 1/2 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))
Samples
22.0ms256×0valid
Compiler

Compiled 38 to 12 computations (68.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 14.0ms
ival-mult: 5.0ms (35.5% of total)
const: 4.0ms (28.4% of total)
ival-sub: 3.0ms (21.3% of total)
ival-add: 1.0ms (7.1% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series6.0ms (0.1%)

Memory
12.6MiB live, 12.6MiB allocated
Counts
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
x
@0
(- (* x (- y 1)) (* y 1/2))
0.0ms
y
@inf
(- (* x (- y 1)) (* y 1/2))

rewrite346.0ms (4.8%)

Memory
2.6MiB live, 514.3MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
7 498×lower-fma.f64
7 498×lower-fma.f32
4 788×lower-*.f32
4 784×lower-*.f64
3 354×lower-/.f64
Iterations

Useful iterations: 0 (0.0ms)

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

simplify396.0ms (5.5%)

Memory
2.7MiB live, 328.1MiB 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))

eval99.0ms (1.4%)

Memory
-3.4MiB live, 77.0MiB allocated
Compiler

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

prune85.0ms (1.2%)

Memory
-2.4MiB live, 75.0MiB 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
▶50.8%
(fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64))
99.8%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 y #s(literal -1 binary64)) (fma.f64 y #s(literal -1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64)))))
▶50.7%
(-.f64 (*.f64 y x) x)
▶100.0%
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x))
▶54.3%
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)
▶46.9%
(*.f64 y (+.f64 #s(literal -1/2 binary64) x))
Compiler

Compiled 100 to 72 computations (28% saved)

simplify105.0ms (1.5%)

Memory
0.2MiB live, 39.2MiB 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

localize71.0ms (1%)

Memory
-3.4MiB live, 40.4MiB allocated
Localize:

Found 9 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(*.f64 y x)
✓accuracy100.0%
(-.f64 (*.f64 y x) x)
✓accuracy100.0%
(+.f64 #s(literal -1/2 binary64) x)
✓accuracy100.0%
(*.f64 y (+.f64 #s(literal -1/2 binary64) x))
✓accuracy100.0%
(fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64))
✓accuracy100.0%
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)
✓accuracy100.0%
(fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x)
✓accuracy100.0%
(-.f64 #s(literal 1/2 binary64) x)
✓accuracy100.0%
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x))
Samples
30.0ms256×0valid
Compiler

Compiled 56 to 18 computations (67.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 19.0ms
ival-mult: 6.0ms (31.4% of total)
const: 5.0ms (26.2% of total)
ival-sub: 4.0ms (20.9% of total)
ival-add: 3.0ms (15.7% 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
8.0MiB live, 8.0MiB allocated
Counts
9 → 168
Calls
Call 1
Inputs
#<alt (-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x))>
#<alt (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x)>
#<alt (-.f64 #s(literal 1/2 binary64) x)>
#<alt (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)>
#<alt (fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64))>
#<alt (*.f64 y (+.f64 #s(literal -1/2 binary64) x))>
#<alt (+.f64 #s(literal -1/2 binary64) x)>
#<alt (-.f64 (*.f64 y x) x)>
#<alt (*.f64 y x)>
Outputs
#<alt (- 918938533204673/1000000000000000 x)>
#<alt (- (+ 918938533204673/1000000000000000 (* y (- x 1/2))) x)>
#<alt (- (+ 918938533204673/1000000000000000 (* y (- x 1/2))) x)>
#<alt (- (+ 918938533204673/1000000000000000 (* y (- x 1/2))) x)>
#<alt (* y (- x 1/2))>
#<alt (* y (- (+ x (* 918938533204673/1000000000000000 (/ 1 y))) (+ 1/2 (/ x y))))>
#<alt (* y (- (+ x (* 918938533204673/1000000000000000 (/ 1 y))) (+ 1/2 (/ x y))))>
#<alt (* y (- (+ x (* 918938533204673/1000000000000000 (/ 1 y))) (+ 1/2 (/ x y))))>
#<alt (* -1 (* y (- 1/2 x)))>
#<alt (* -1 (* y (- (* -1 (/ (- 918938533204673/1000000000000000 x) y)) (* -1 (- 1/2 x)))))>
#<alt (* -1 (* y (- (* -1 (/ (- 918938533204673/1000000000000000 x) y)) (* -1 (- 1/2 x)))))>
#<alt (* -1 (* y (- (* -1 (/ (- 918938533204673/1000000000000000 x) y)) (* -1 (- 1/2 x)))))>
#<alt (- 918938533204673/1000000000000000 (* 1/2 y))>
#<alt (- (+ 918938533204673/1000000000000000 (* -1 (* x (+ 1 (* -1 y))))) (* 1/2 y))>
#<alt (- (+ 918938533204673/1000000000000000 (* -1 (* x (+ 1 (* -1 y))))) (* 1/2 y))>
#<alt (- (+ 918938533204673/1000000000000000 (* -1 (* x (+ 1 (* -1 y))))) (* 1/2 y))>
#<alt (* -1 (* x (+ 1 (* -1 y))))>
#<alt (* x (- (* 918938533204673/1000000000000000 (/ 1 x)) (+ 1 (+ (* -1 y) (* 1/2 (/ y x))))))>
#<alt (* x (- (* 918938533204673/1000000000000000 (/ 1 x)) (+ 1 (+ (* -1 y) (* 1/2 (/ y x))))))>
#<alt (* x (- (* 918938533204673/1000000000000000 (/ 1 x)) (+ 1 (+ (* -1 y) (* 1/2 (/ y x))))))>
#<alt (* -1 (* x (- 1 y)))>
#<alt (* -1 (* x (- (+ 1 (* -1 (/ (- 918938533204673/1000000000000000 (* 1/2 y)) x))) y)))>
#<alt (* -1 (* x (- (+ 1 (* -1 (/ (- 918938533204673/1000000000000000 (* 1/2 y)) x))) y)))>
#<alt (* -1 (* x (- (+ 1 (* -1 (/ (- 918938533204673/1000000000000000 (* 1/2 y)) x))) y)))>
#<alt x>
#<alt (+ x (* y (- 1/2 x)))>
#<alt (+ x (* y (- 1/2 x)))>
#<alt (+ x (* y (- 1/2 x)))>
#<alt (* y (- 1/2 x))>
#<alt (* y (- (+ 1/2 (/ x y)) x))>
#<alt (* y (- (+ 1/2 (/ x y)) x))>
#<alt (* y (- (+ 1/2 (/ x y)) x))>
#<alt (* y (- 1/2 x))>
#<alt (* -1 (* y (+ (* -1 (- 1/2 x)) (* -1 (/ x y)))))>
#<alt (* -1 (* y (+ (* -1 (- 1/2 x)) (* -1 (/ x y)))))>
#<alt (* -1 (* y (+ (* -1 (- 1/2 x)) (* -1 (/ x y)))))>
#<alt (* 1/2 y)>
#<alt (+ (* 1/2 y) (* x (+ 1 (* -1 y))))>
#<alt (+ (* 1/2 y) (* x (+ 1 (* -1 y))))>
#<alt (+ (* 1/2 y) (* x (+ 1 (* -1 y))))>
#<alt (* x (+ 1 (* -1 y)))>
#<alt (* x (+ 1 (+ (* -1 y) (* 1/2 (/ y x)))))>
#<alt (* x (+ 1 (+ (* -1 y) (* 1/2 (/ y x)))))>
#<alt (* x (+ 1 (+ (* -1 y) (* 1/2 (/ y x)))))>
#<alt (* -1 (* x (- y 1)))>
#<alt (* -1 (* x (- (+ y (* -1/2 (/ y x))) 1)))>
#<alt (* -1 (* x (- (+ y (* -1/2 (/ y x))) 1)))>
#<alt (* -1 (* x (- (+ y (* -1/2 (/ y x))) 1)))>
#<alt 1/2>
#<alt (+ 1/2 (* -1 x))>
#<alt (+ 1/2 (* -1 x))>
#<alt (+ 1/2 (* -1 x))>
#<alt (* -1 x)>
#<alt (* x (- (* 1/2 (/ 1 x)) 1))>
#<alt (* x (- (* 1/2 (/ 1 x)) 1))>
#<alt (* x (- (* 1/2 (/ 1 x)) 1))>
#<alt (* -1 x)>
#<alt (* -1 (* x (- 1 (* 1/2 (/ 1 x)))))>
#<alt (* -1 (* x (- 1 (* 1/2 (/ 1 x)))))>
#<alt (* -1 (* x (- 1 (* 1/2 (/ 1 x)))))>
#<alt 918938533204673/1000000000000000>
#<alt (+ 918938533204673/1000000000000000 (* -1 x))>
#<alt (+ 918938533204673/1000000000000000 (* -1 x))>
#<alt (+ 918938533204673/1000000000000000 (* -1 x))>
#<alt (* -1 x)>
#<alt (* x (- (* 918938533204673/1000000000000000 (/ 1 x)) 1))>
#<alt (* x (- (* 918938533204673/1000000000000000 (/ 1 x)) 1))>
#<alt (* x (- (* 918938533204673/1000000000000000 (/ 1 x)) 1))>
#<alt (* -1 x)>
#<alt (* -1 (* x (- 1 (* 918938533204673/1000000000000000 (/ 1 x)))))>
#<alt (* -1 (* x (- 1 (* 918938533204673/1000000000000000 (/ 1 x)))))>
#<alt (* -1 (* x (- 1 (* 918938533204673/1000000000000000 (/ 1 x)))))>
#<alt 918938533204673/1000000000000000>
#<alt (+ 918938533204673/1000000000000000 (* -1/2 y))>
#<alt (+ 918938533204673/1000000000000000 (* -1/2 y))>
#<alt (+ 918938533204673/1000000000000000 (* -1/2 y))>
#<alt (* -1/2 y)>
#<alt (* y (- (* 918938533204673/1000000000000000 (/ 1 y)) 1/2))>
#<alt (* y (- (* 918938533204673/1000000000000000 (/ 1 y)) 1/2))>
#<alt (* y (- (* 918938533204673/1000000000000000 (/ 1 y)) 1/2))>
#<alt (* -1/2 y)>
#<alt (* -1 (* y (- 1/2 (* 918938533204673/1000000000000000 (/ 1 y)))))>
#<alt (* -1 (* y (- 1/2 (* 918938533204673/1000000000000000 (/ 1 y)))))>
#<alt (* -1 (* y (- 1/2 (* 918938533204673/1000000000000000 (/ 1 y)))))>
#<alt (* y (- x 1/2))>
#<alt (* y (- x 1/2))>
#<alt (* y (- x 1/2))>
#<alt (* y (- x 1/2))>
#<alt (* y (- x 1/2))>
#<alt (* y (- x 1/2))>
#<alt (* y (- x 1/2))>
#<alt (* y (- x 1/2))>
#<alt (* y (- x 1/2))>
#<alt (* y (- x 1/2))>
#<alt (* y (- x 1/2))>
#<alt (* y (- x 1/2))>
#<alt (* -1/2 y)>
#<alt (+ (* -1/2 y) (* x y))>
#<alt (+ (* -1/2 y) (* x y))>
#<alt (+ (* -1/2 y) (* x y))>
#<alt (* x y)>
#<alt (* x (+ y (* -1/2 (/ y x))))>
#<alt (* x (+ y (* -1/2 (/ y x))))>
#<alt (* x (+ y (* -1/2 (/ y x))))>
#<alt (* x y)>
#<alt (* -1 (* x (+ (* -1 y) (* 1/2 (/ y x)))))>
#<alt (* -1 (* x (+ (* -1 y) (* 1/2 (/ y x)))))>
#<alt (* -1 (* x (+ (* -1 y) (* 1/2 (/ y x)))))>
#<alt -1/2>
#<alt (- x 1/2)>
#<alt (- x 1/2)>
#<alt (- x 1/2)>
#<alt x>
#<alt (* x (- 1 (* 1/2 (/ 1 x))))>
#<alt (* x (- 1 (* 1/2 (/ 1 x))))>
#<alt (* x (- 1 (* 1/2 (/ 1 x))))>
#<alt x>
#<alt (* -1 (* x (- (* 1/2 (/ 1 x)) 1)))>
#<alt (* -1 (* x (- (* 1/2 (/ 1 x)) 1)))>
#<alt (* -1 (* x (- (* 1/2 (/ 1 x)) 1)))>
#<alt (* -1 x)>
#<alt (- (* x y) x)>
#<alt (- (* x y) x)>
#<alt (- (* x y) x)>
#<alt (* x y)>
#<alt (* y (+ x (* -1 (/ x y))))>
#<alt (* y (+ x (* -1 (/ x y))))>
#<alt (* y (+ x (* -1 (/ x y))))>
#<alt (* x y)>
#<alt (* -1 (* y (+ (* -1 x) (/ x y))))>
#<alt (* -1 (* y (+ (* -1 x) (/ x y))))>
#<alt (* -1 (* y (+ (* -1 x) (/ x y))))>
#<alt (* x (- y 1))>
#<alt (* x (- y 1))>
#<alt (* x (- y 1))>
#<alt (* x (- y 1))>
#<alt (* x (- y 1))>
#<alt (* x (- y 1))>
#<alt (* x (- y 1))>
#<alt (* x (- y 1))>
#<alt (* -1 (* x (+ 1 (* -1 y))))>
#<alt (* -1 (* x (+ 1 (* -1 y))))>
#<alt (* -1 (* x (+ 1 (* -1 y))))>
#<alt (* -1 (* x (+ 1 (* -1 y))))>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
Calls

42 calls:

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

rewrite403.0ms (5.6%)

Memory
10.0MiB live, 284.2MiB 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)

simplify279.0ms (3.8%)

Memory
-12.0MiB live, 146.5MiB 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)

eval126.0ms (1.7%)

Memory
-1.6MiB live, 76.6MiB allocated
Compiler

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

prune125.0ms (1.7%)

Memory
-0.3MiB live, 76.6MiB allocated
Pruning

10 alts after pruning (7 fresh and 3 done)

PrunedKeptTotal
New5777584
Fresh101
Picked235
Done000
Total58010590
Accuracy
100.0%
Counts
590 → 10
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶50.7%
(fma.f64 y x (neg.f64 x))
✓50.8%
(fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64))
44.0%
(/.f64 (-.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (*.f64 x x)) (+.f64 #s(literal 918938533204673/1000000000000000 binary64) x))
50.7%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal -1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64))))
✓54.3%
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)
✓46.9%
(*.f64 y (+.f64 #s(literal -1/2 binary64) x))
▶26.1%
(*.f64 y #s(literal -1/2 binary64))
▶23.5%
(*.f64 x y)
▶29.5%
(neg.f64 x)
▶26.3%
#s(literal 918938533204673/1000000000000000 binary64)
Compiler

Compiled 108 to 80 computations (25.9% saved)

simplify16.0ms (0.2%)

Memory
9.1MiB live, 9.1MiB 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
(neg.f64 x)
✓cost-diff0
(fma.f64 y x (neg.f64 x))
Rules
208×lower-fma.f32
206×lower-fma.f64
144×lower-*.f32
140×lower-*.f64
64×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0823
01323
12023
23023
34423
46623
513223
622723
729323
832523
933023
1033223
033223
Stop Event
1×iter limit
1×saturated
1×iter limit
Calls
Call 1
Inputs
(fma.f64 y x (neg.f64 x))
y
x
(neg.f64 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
(fma.f64 y x (neg.f64 x))
(-.f64 (*.f64 y x) x)
y
x
(neg.f64 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)

localize59.0ms (0.8%)

Memory
-4.4MiB live, 41.0MiB 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 x (neg.f64 x))
✓accuracy100.0%
(neg.f64 x)
Samples
22.0ms256×0valid
Compiler

Compiled 25 to 11 computations (56% saved)

Precisions
Click to see histograms. Total time spent on operations: 14.0ms
ival-mult: 6.0ms (44% of total)
const: 5.0ms (36.7% of total)
ival-add: 1.0ms (7.3% of total)
ival-neg: 1.0ms (7.3% 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
2.0MiB live, 2.0MiB allocated
Counts
4 → 72
Calls
Call 1
Inputs
#<alt (fma.f64 y x (neg.f64 x))>
#<alt (neg.f64 x)>
#<alt (*.f64 x y)>
#<alt (*.f64 y #s(literal -1/2 binary64))>
Outputs
#<alt (* -1 x)>
#<alt (- (* x y) x)>
#<alt (- (* x y) x)>
#<alt (- (* x y) x)>
#<alt (* x y)>
#<alt (* y (+ x (* -1 (/ x y))))>
#<alt (* y (+ x (* -1 (/ x y))))>
#<alt (* y (+ x (* -1 (/ x y))))>
#<alt (* x y)>
#<alt (* -1 (* y (+ (* -1 x) (/ x y))))>
#<alt (* -1 (* y (+ (* -1 x) (/ x y))))>
#<alt (* -1 (* y (+ (* -1 x) (/ x y))))>
#<alt (* x (- y 1))>
#<alt (* x (- y 1))>
#<alt (* x (- y 1))>
#<alt (* x (- y 1))>
#<alt (* x (- y 1))>
#<alt (* x (- y 1))>
#<alt (* x (- y 1))>
#<alt (* x (- y 1))>
#<alt (* -1 (* x (+ 1 (* -1 y))))>
#<alt (* -1 (* x (+ 1 (* -1 y))))>
#<alt (* -1 (* x (+ 1 (* -1 y))))>
#<alt (* -1 (* x (+ 1 (* -1 y))))>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* 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

18 calls:

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

rewrite356.0ms (4.9%)

Memory
16.8MiB live, 328.1MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
5 418×lower-fma.f32
5 416×lower-fma.f64
3 046×lower-*.f32
3 042×lower-*.f64
2 650×lower-/.f64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
0713
01213
13213
221013
3223011
01022611
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
4 → 354
Calls
Call 1
Inputs
(fma.f64 y x (neg.f64 x))
(neg.f64 x)
(*.f64 x y)
(*.f64 y #s(literal -1/2 binary64))
Outputs
(+.f64 x (*.f64 y x))
(+.f64 (*.f64 y x) x)
(+.f64 #s(literal 0 binary64) (fma.f64 y x x))
(+.f64 (*.f64 (*.f64 y x) (/.f64 y (+.f64 y #s(literal 1 binary64)))) (/.f64 x (+.f64 y #s(literal 1 binary64))))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal -1 binary64) (fma.f64 y x x))) #s(literal -1 binary64)))
(-.f64 x (*.f64 y x))
(-.f64 (*.f64 y x) x)
(-.f64 #s(literal 0 binary64) (fma.f64 y x x))
(-.f64 (*.f64 (*.f64 y x) (/.f64 y (+.f64 y #s(literal 1 binary64)))) (/.f64 x (+.f64 y #s(literal 1 binary64))))
(-.f64 (/.f64 x (+.f64 y #s(literal 1 binary64))) (*.f64 (*.f64 y x) (/.f64 y (+.f64 y #s(literal 1 binary64)))))
(-.f64 (/.f64 (*.f64 (*.f64 y x) (*.f64 y (*.f64 y (*.f64 x x)))) (fma.f64 (*.f64 y x) (fma.f64 y x x) (*.f64 x x))) (/.f64 (*.f64 x (*.f64 x x)) (fma.f64 (*.f64 y x) (fma.f64 y x x) (*.f64 x x))))
(-.f64 (/.f64 (*.f64 x (*.f64 x x)) (fma.f64 (*.f64 y x) (fma.f64 y x x) (*.f64 x x))) (/.f64 (*.f64 (*.f64 y x) (*.f64 y (*.f64 y (*.f64 x x)))) (fma.f64 (*.f64 y x) (fma.f64 y x x) (*.f64 x x))))
(-.f64 (/.f64 #s(literal 0 binary64) (fma.f64 y x x)) (fma.f64 y x x))
(-.f64 (/.f64 #s(literal 0 binary64) (fma.f64 (*.f64 y x) (fma.f64 y x x) (*.f64 x x))) (fma.f64 y x x))
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 y x) (*.f64 y (*.f64 y (*.f64 x x)))) (*.f64 (*.f64 y x) (*.f64 y (*.f64 y (*.f64 x x))))) (*.f64 (fma.f64 (*.f64 y x) (fma.f64 y x x) (*.f64 x x)) (fma.f64 (*.f64 y x) (fma.f64 y x x) (*.f64 x x)))) (fma.f64 y x x)) (/.f64 (/.f64 (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x))) (*.f64 (fma.f64 (*.f64 y x) (fma.f64 y x x) (*.f64 x x)) (fma.f64 (*.f64 y x) (fma.f64 y x x) (*.f64 x x)))) (fma.f64 y x x)))
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 y y) (*.f64 y y))) (*.f64 x (fma.f64 y (*.f64 y x) x))) (fma.f64 y x x)) (/.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (fma.f64 y (*.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 y x) (*.f64 y (*.f64 y (*.f64 x x))))) (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 y (*.f64 y y) #s(literal -1 binary64)))) (fma.f64 (*.f64 y x) (fma.f64 y x x) (*.f64 x x))) (/.f64 (/.f64 (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 y (*.f64 y y) #s(literal -1 binary64)))) (fma.f64 (*.f64 y x) (fma.f64 y x x) (*.f64 x x))))
(-.f64 (/.f64 (*.f64 (*.f64 (*.f64 y x) (*.f64 y (*.f64 y (*.f64 x x)))) (*.f64 (*.f64 y x) (*.f64 y (*.f64 y (*.f64 x x))))) (*.f64 (fma.f64 (*.f64 y x) (fma.f64 y x x) (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 y (*.f64 y y) #s(literal -1 binary64))))) (/.f64 (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x))) (*.f64 (fma.f64 (*.f64 y x) (fma.f64 y x x) (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 y (*.f64 y y) #s(literal -1 binary64))))))
(-.f64 (/.f64 (*.f64 (*.f64 y (*.f64 y (*.f64 x x))) (fma.f64 y x x)) (*.f64 x (fma.f64 y (*.f64 y x) x))) (/.f64 (*.f64 (fma.f64 y x x) (*.f64 x x)) (*.f64 x (fma.f64 y (*.f64 y x) x))))
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 #s(literal 0 binary64) (fma.f64 x (fma.f64 y (*.f64 y x) x) (*.f64 #s(literal 0 binary64) (fma.f64 y x x))))) (/.f64 (*.f64 (*.f64 x (fma.f64 y (*.f64 y x) x)) (fma.f64 y x x)) (+.f64 #s(literal 0 binary64) (fma.f64 x (fma.f64 y (*.f64 y x) x) (*.f64 #s(literal 0 binary64) (fma.f64 y x x))))))
(-.f64 (/.f64 (*.f64 (*.f64 (*.f64 y x) (/.f64 y (+.f64 y #s(literal 1 binary64)))) (*.f64 (*.f64 (*.f64 y x) (/.f64 y (+.f64 y #s(literal 1 binary64)))) (*.f64 (*.f64 y x) (/.f64 y (+.f64 y #s(literal 1 binary64)))))) (fma.f64 (*.f64 (*.f64 y x) (/.f64 y (+.f64 y #s(literal 1 binary64)))) (*.f64 (*.f64 y x) (/.f64 y (+.f64 y #s(literal 1 binary64)))) (fma.f64 (/.f64 x (+.f64 y #s(literal 1 binary64))) (/.f64 x (+.f64 y #s(literal 1 binary64))) (*.f64 (*.f64 (*.f64 y x) (/.f64 y (+.f64 y #s(literal 1 binary64)))) (/.f64 x (+.f64 y #s(literal 1 binary64))))))) (/.f64 (*.f64 (/.f64 x (+.f64 y #s(literal 1 binary64))) (*.f64 (/.f64 x (+.f64 y #s(literal 1 binary64))) (/.f64 x (+.f64 y #s(literal 1 binary64))))) (fma.f64 (*.f64 (*.f64 y x) (/.f64 y (+.f64 y #s(literal 1 binary64)))) (*.f64 (*.f64 y x) (/.f64 y (+.f64 y #s(literal 1 binary64)))) (fma.f64 (/.f64 x (+.f64 y #s(literal 1 binary64))) (/.f64 x (+.f64 y #s(literal 1 binary64))) (*.f64 (*.f64 (*.f64 y x) (/.f64 y (+.f64 y #s(literal 1 binary64)))) (/.f64 x (+.f64 y #s(literal 1 binary64))))))))
(-.f64 (/.f64 (*.f64 (*.f64 (*.f64 y x) (/.f64 y (+.f64 y #s(literal 1 binary64)))) (*.f64 (*.f64 y x) (/.f64 y (+.f64 y #s(literal 1 binary64))))) (fma.f64 y x x)) (/.f64 (*.f64 (/.f64 x (+.f64 y #s(literal 1 binary64))) (/.f64 x (+.f64 y #s(literal 1 binary64)))) (fma.f64 y x x)))
(-.f64 (/.f64 (*.f64 (*.f64 (*.f64 y x) (*.f64 y (*.f64 y (*.f64 x x)))) (*.f64 (*.f64 y x) (*.f64 y (*.f64 y (*.f64 x x))))) (*.f64 (fma.f64 y x x) (*.f64 (fma.f64 (*.f64 y x) (fma.f64 y x x) (*.f64 x x)) (fma.f64 (*.f64 y x) (fma.f64 y x x) (*.f64 x x))))) (/.f64 (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x))) (*.f64 (fma.f64 y x x) (*.f64 (fma.f64 (*.f64 y x) (fma.f64 y x x) (*.f64 x x)) (fma.f64 (*.f64 y x) (fma.f64 y x x) (*.f64 x x))))))
(-.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 y y) (*.f64 y y))) (*.f64 (*.f64 x (fma.f64 y (*.f64 y x) x)) (fma.f64 y x x))) (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x (fma.f64 y (*.f64 y x) x)) (fma.f64 y x x))))
(fma.f64 y x x)
(fma.f64 y (/.f64 (*.f64 y (*.f64 x x)) (fma.f64 y x x)) (/.f64 x (+.f64 y #s(literal 1 binary64))))
(fma.f64 x y x)
(fma.f64 x #s(literal -1 binary64) (*.f64 y x))
(fma.f64 x #s(literal 1 binary64) (*.f64 y x))
(fma.f64 x (/.f64 (*.f64 y y) (+.f64 y #s(literal 1 binary64))) (/.f64 x (+.f64 y #s(literal 1 binary64))))
(fma.f64 x (*.f64 y #s(literal -1 binary64)) x)
(fma.f64 x (neg.f64 y) x)
(fma.f64 x (/.f64 (*.f64 y (*.f64 y x)) (fma.f64 y x x)) (/.f64 x (+.f64 y #s(literal 1 binary64))))
(fma.f64 x (pow.f64 y #s(literal 1 binary64)) x)
(fma.f64 x (exp.f64 (log.f64 y)) x)
(fma.f64 x (exp.f64 (log.f64 #s(literal -1 binary64))) (*.f64 y x))
(fma.f64 (*.f64 y x) #s(literal -1 binary64) x)
(fma.f64 (*.f64 y x) (/.f64 y (+.f64 y #s(literal 1 binary64))) (/.f64 x (+.f64 y #s(literal 1 binary64))))
(fma.f64 (*.f64 y x) (/.f64 (*.f64 y x) (fma.f64 y x x)) (/.f64 x (+.f64 y #s(literal 1 binary64))))
(fma.f64 (*.f64 x (*.f64 x x)) (/.f64 #s(literal -1 binary64) (*.f64 x x)) (*.f64 y x))
(fma.f64 (*.f64 x (*.f64 x x)) (pow.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) #s(literal 1 binary64)) (*.f64 y x))
(fma.f64 (*.f64 y (*.f64 y (*.f64 x x))) (/.f64 #s(literal -1 binary64) (fma.f64 y x x)) (/.f64 x (+.f64 y #s(literal 1 binary64))))
(fma.f64 (*.f64 x x) (/.f64 #s(literal -1 binary64) x) (*.f64 y x))
(fma.f64 (*.f64 x x) (/.f64 (*.f64 y y) (fma.f64 y x x)) (/.f64 x (+.f64 y #s(literal 1 binary64))))
(fma.f64 (*.f64 x x) (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)) (*.f64 y x))
(fma.f64 #s(literal -1 binary64) x (*.f64 y x))
(fma.f64 #s(literal -1 binary64) (*.f64 y x) x)
(fma.f64 (*.f64 y (*.f64 x x)) (/.f64 y (fma.f64 y x x)) (/.f64 x (+.f64 y #s(literal 1 binary64))))
(fma.f64 #s(literal 1 binary64) x (*.f64 y x))
(fma.f64 (*.f64 y y) (/.f64 x (+.f64 y #s(literal 1 binary64))) (/.f64 x (+.f64 y #s(literal 1 binary64))))
(fma.f64 (*.f64 y (*.f64 y x)) (/.f64 x (fma.f64 y x x)) (/.f64 x (+.f64 y #s(literal 1 binary64))))
(fma.f64 (/.f64 y x) (/.f64 (*.f64 y (*.f64 x x)) (+.f64 y #s(literal 1 binary64))) (/.f64 x (+.f64 y #s(literal 1 binary64))))
(fma.f64 (/.f64 x x) (/.f64 (*.f64 y (*.f64 y x)) (+.f64 y #s(literal 1 binary64))) (/.f64 x (+.f64 y #s(literal 1 binary64))))
(fma.f64 (/.f64 (*.f64 y x) x) (/.f64 (*.f64 y x) (+.f64 y #s(literal 1 binary64))) (/.f64 x (+.f64 y #s(literal 1 binary64))))
(fma.f64 (/.f64 (*.f64 y y) x) (/.f64 (*.f64 x x) (+.f64 y #s(literal 1 binary64))) (/.f64 x (+.f64 y #s(literal 1 binary64))))
(fma.f64 (/.f64 (*.f64 y (*.f64 y x)) x) (/.f64 x (+.f64 y #s(literal 1 binary64))) (/.f64 x (+.f64 y #s(literal 1 binary64))))
(fma.f64 (*.f64 y #s(literal -1 binary64)) x x)
(fma.f64 (neg.f64 y) x x)
(fma.f64 (/.f64 (*.f64 y (*.f64 y (*.f64 x x))) (*.f64 x (fma.f64 y (*.f64 y x) x))) (fma.f64 y x x) (/.f64 x (+.f64 y #s(literal 1 binary64))))
(fma.f64 (/.f64 (*.f64 y (*.f64 y (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 y (*.f64 y y) #s(literal -1 binary64)))) (fma.f64 (*.f64 y x) (fma.f64 y x x) (*.f64 x x)) (/.f64 x (+.f64 y #s(literal 1 binary64))))
(fma.f64 (pow.f64 y #s(literal 1 binary64)) x x)
(fma.f64 (exp.f64 (log.f64 y)) x x)
(fma.f64 (exp.f64 (log.f64 #s(literal -1 binary64))) x (*.f64 y x))
(neg.f64 (fma.f64 y x x))
(/.f64 (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 y (*.f64 y y) #s(literal -1 binary64))) (fma.f64 (*.f64 y x) (fma.f64 y x x) (*.f64 x x)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal -1 binary64) (fma.f64 y x x))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 y x x)) #s(literal 1 binary64))))
(/.f64 (*.f64 x (fma.f64 y (*.f64 y x) x)) (fma.f64 y x x))
(/.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x))) (*.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 (fma.f64 (*.f64 y x) (fma.f64 y x x) (*.f64 x x)) (fma.f64 (*.f64 y x) (*.f64 (*.f64 (*.f64 y x) (*.f64 y (*.f64 y (*.f64 x x)))) (*.f64 y (*.f64 y (*.f64 x x)))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 y (*.f64 y y) #s(literal -1 binary64)))))))
(/.f64 (*.f64 x (fma.f64 y x x)) x)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 y x x)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 y x x)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 #s(literal -1 binary64) (fma.f64 y x x)))))
(/.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 y (*.f64 y y) #s(literal -1 binary64))) (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 y (*.f64 y y) #s(literal -1 binary64)))) (*.f64 (fma.f64 (*.f64 y x) (fma.f64 y x x) (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 y (*.f64 y y) #s(literal -1 binary64)))))
(/.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 y (*.f64 y y) #s(literal -1 binary64))) (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 y (*.f64 y y) #s(literal -1 binary64)))) (*.f64 (fma.f64 y x x) (*.f64 (fma.f64 (*.f64 y x) (fma.f64 y x x) (*.f64 x x)) (fma.f64 (*.f64 y x) (fma.f64 y x x) (*.f64 x x)))))
(/.f64 (*.f64 (*.f64 x (fma.f64 y (*.f64 y x) x)) (*.f64 x (fma.f64 y (*.f64 y x) x))) (*.f64 (*.f64 x (fma.f64 y (*.f64 y x) 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 x (fma.f64 y (*.f64 y x) x)))
(/.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x))) (*.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))))))) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 y x) (*.f64 (*.f64 (*.f64 y x) (*.f64 y (*.f64 y (*.f64 x x)))) (*.f64 y (*.f64 y (*.f64 x x)))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 y (*.f64 y y) #s(literal -1 binary64))))) (fma.f64 (*.f64 y x) (fma.f64 y x x) (*.f64 x x))))
(/.f64 (*.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 y (*.f64 y y) #s(literal -1 binary64))) (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 y (*.f64 y y) #s(literal -1 binary64)))) #s(literal 1 binary64)) (*.f64 (*.f64 (fma.f64 (*.f64 y x) (fma.f64 y x x) (*.f64 x x)) (fma.f64 (*.f64 y x) (fma.f64 y x x) (*.f64 x x))) (fma.f64 y x x)))
(/.f64 (*.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 y (*.f64 y y) #s(literal -1 binary64))) (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 y (*.f64 y y) #s(literal -1 binary64)))) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 y (*.f64 y y) #s(literal -1 binary64))) (fma.f64 (*.f64 y x) (fma.f64 y x x) (*.f64 x x))))
(/.f64 (*.f64 (*.f64 (*.f64 x (fma.f64 y (*.f64 y x) x)) (*.f64 x (fma.f64 y (*.f64 y x) x))) #s(literal 1 binary64)) (*.f64 (*.f64 x (fma.f64 y (*.f64 y x) x)) (fma.f64 y x x)))
(/.f64 (neg.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x))) (*.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)))))))) (neg.f64 (*.f64 (fma.f64 (*.f64 y x) (fma.f64 y x x) (*.f64 x x)) (fma.f64 (*.f64 y x) (*.f64 (*.f64 (*.f64 y x) (*.f64 y (*.f64 y (*.f64 x x)))) (*.f64 y (*.f64 y (*.f64 x x)))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 y (*.f64 y y) #s(literal -1 binary64))))))))
(/.f64 (neg.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 y (*.f64 y y) #s(literal -1 binary64))) (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 y (*.f64 y y) #s(literal -1 binary64))))) (neg.f64 (*.f64 (fma.f64 (*.f64 y x) (fma.f64 y x x) (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 y (*.f64 y y) #s(literal -1 binary64))))))
(/.f64 (neg.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 y (*.f64 y y) #s(literal -1 binary64))) (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 y (*.f64 y y) #s(literal -1 binary64))))) (neg.f64 (*.f64 (fma.f64 y x x) (*.f64 (fma.f64 (*.f64 y x) (fma.f64 y x x) (*.f64 x x)) (fma.f64 (*.f64 y x) (fma.f64 y x x) (*.f64 x x))))))
(/.f64 (neg.f64 (*.f64 (*.f64 x (fma.f64 y (*.f64 y x) x)) (*.f64 x (fma.f64 y (*.f64 y x) x)))) (*.f64 (*.f64 x (fma.f64 y (*.f64 y x) x)) (fma.f64 y x x)))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 x (fma.f64 y (*.f64 y x) x)) (fma.f64 y x x))) (+.f64 #s(literal 0 binary64) (fma.f64 x (fma.f64 y (*.f64 y x) x) (*.f64 #s(literal 0 binary64) (fma.f64 y x x)))))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 y x) (/.f64 y (+.f64 y #s(literal 1 binary64)))) (*.f64 (*.f64 (*.f64 y x) (/.f64 y (+.f64 y #s(literal 1 binary64)))) (*.f64 (*.f64 y x) (/.f64 y (+.f64 y #s(literal 1 binary64)))))) (*.f64 (/.f64 x (+.f64 y #s(literal 1 binary64))) (*.f64 (/.f64 x (+.f64 y #s(literal 1 binary64))) (/.f64 x (+.f64 y #s(literal 1 binary64)))))) (fma.f64 (*.f64 (*.f64 y x) (/.f64 y (+.f64 y #s(literal 1 binary64)))) (*.f64 (*.f64 y x) (/.f64 y (+.f64 y #s(literal 1 binary64)))) (fma.f64 (/.f64 x (+.f64 y #s(literal 1 binary64))) (/.f64 x (+.f64 y #s(literal 1 binary64))) (*.f64 (*.f64 (*.f64 y x) (/.f64 y (+.f64 y #s(literal 1 binary64)))) (/.f64 x (+.f64 y #s(literal 1 binary64)))))))
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(/.f64 (neg.f64 (-.f64 (*.f64 y (*.f64 y (*.f64 x x))) #s(literal 0 binary64))) (*.f64 y x))
(/.f64 (+.f64 (pow.f64 (*.f64 y #s(literal 0 binary64)) #s(literal 3 binary64)) (*.f64 (*.f64 y x) (*.f64 y (*.f64 y (*.f64 x x))))) (fma.f64 (*.f64 y #s(literal 0 binary64)) (*.f64 y #s(literal 0 binary64)) (-.f64 (*.f64 y (*.f64 y (*.f64 x x))) (*.f64 (*.f64 y #s(literal 0 binary64)) (*.f64 y x)))))
(/.f64 (+.f64 (pow.f64 (*.f64 #s(literal 0 binary64) y) #s(literal 3 binary64)) (*.f64 (*.f64 y x) (*.f64 y (*.f64 y (*.f64 x x))))) (fma.f64 (*.f64 #s(literal 0 binary64) y) (*.f64 #s(literal 0 binary64) y) (-.f64 (*.f64 y (*.f64 y (*.f64 x x))) (*.f64 (*.f64 #s(literal 0 binary64) y) (*.f64 y x)))))
(/.f64 (+.f64 #s(literal 0 binary64) (*.f64 (*.f64 y x) (*.f64 y (*.f64 y (*.f64 x x))))) (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 y (*.f64 y (*.f64 x x))) (*.f64 #s(literal 0 binary64) (*.f64 y x)))))
(pow.f64 (*.f64 y x) #s(literal 1 binary64))
(*.f64 y x)
(*.f64 x y)
(*.f64 x (*.f64 y #s(literal -1 binary64)))
(*.f64 x (neg.f64 y))
(*.f64 x (pow.f64 y #s(literal 1 binary64)))
(*.f64 x (exp.f64 (log.f64 y)))
(*.f64 (*.f64 y x) #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) (*.f64 y x))
(*.f64 (*.f64 y #s(literal -1 binary64)) x)
(*.f64 (neg.f64 y) x)
(*.f64 (pow.f64 y #s(literal 1 binary64)) x)
(*.f64 (exp.f64 (log.f64 y)) x)
(*.f64 y #s(literal -1/2 binary64))
(*.f64 #s(literal -1/2 binary64) y)

simplify266.0ms (3.7%)

Memory
-25.3MiB live, 209.6MiB allocated
Algorithm
1×egg-herbie
Rules
3 584×lower-fma.f64
3 584×lower-fma.f32
2 048×lower-*.f64
2 048×lower-*.f32
1 736×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
022245
167245
2152245
3279245
4602245
51834245
63110245
73588245
83864245
94034245
104068245
114604245
125874245
136696245
147020245
157100245
167100245
177592245
08028245
Stop Event
1×iter limit
1×node limit
Counts
72 → 72
Calls
Call 1
Inputs
(* -1 x)
(- (* x y) x)
(- (* x y) x)
(- (* x y) x)
(* x y)
(* y (+ x (* -1 (/ x y))))
(* y (+ x (* -1 (/ x y))))
(* y (+ x (* -1 (/ x y))))
(* x y)
(* -1 (* y (+ (* -1 x) (/ x y))))
(* -1 (* y (+ (* -1 x) (/ x y))))
(* -1 (* y (+ (* -1 x) (/ x y))))
(* x (- y 1))
(* x (- y 1))
(* x (- y 1))
(* x (- y 1))
(* x (- y 1))
(* x (- y 1))
(* x (- y 1))
(* x (- y 1))
(* -1 (* x (+ 1 (* -1 y))))
(* -1 (* x (+ 1 (* -1 y))))
(* -1 (* x (+ 1 (* -1 y))))
(* -1 (* x (+ 1 (* -1 y))))
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* 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
(* -1 x)
(neg.f64 x)
(- (* x y) x)
(-.f64 (*.f64 x y) x)
(- (* x y) x)
(-.f64 (*.f64 x y) x)
(- (* x y) x)
(-.f64 (*.f64 x y) x)
(* x y)
(*.f64 x y)
(* y (+ x (* -1 (/ x y))))
(-.f64 (*.f64 x y) x)
(* y (+ x (* -1 (/ x y))))
(-.f64 (*.f64 x y) x)
(* y (+ x (* -1 (/ x y))))
(-.f64 (*.f64 x y) x)
(* x y)
(*.f64 x y)
(* -1 (* y (+ (* -1 x) (/ x y))))
(-.f64 (*.f64 x y) x)
(* -1 (* y (+ (* -1 x) (/ x y))))
(-.f64 (*.f64 x y) x)
(* -1 (* y (+ (* -1 x) (/ x y))))
(-.f64 (*.f64 x y) x)
(* x (- y 1))
(-.f64 (*.f64 x y) x)
(* x (- y 1))
(-.f64 (*.f64 x y) x)
(* x (- y 1))
(-.f64 (*.f64 x y) x)
(* x (- y 1))
(-.f64 (*.f64 x y) x)
(* x (- y 1))
(-.f64 (*.f64 x y) x)
(* x (- y 1))
(-.f64 (*.f64 x y) x)
(* x (- y 1))
(-.f64 (*.f64 x y) x)
(* x (- y 1))
(-.f64 (*.f64 x y) x)
(* -1 (* x (+ 1 (* -1 y))))
(-.f64 (*.f64 x y) x)
(* -1 (* x (+ 1 (* -1 y))))
(-.f64 (*.f64 x y) x)
(* -1 (* x (+ 1 (* -1 y))))
(-.f64 (*.f64 x y) x)
(* -1 (* x (+ 1 (* -1 y))))
(-.f64 (*.f64 x y) x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* 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 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))

eval56.0ms (0.8%)

Memory
19.2MiB live, 132.3MiB allocated
Compiler

Compiled 10 407 to 891 computations (91.4% saved)

prune62.0ms (0.9%)

Memory
9.9MiB live, 140.0MiB allocated
Pruning

11 alts after pruning (3 fresh and 8 done)

PrunedKeptTotal
New4821483
Fresh022
Picked055
Done033
Total48211493
Accuracy
100.0%
Counts
493 → 11
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓50.7%
(fma.f64 y x (neg.f64 x))
✓50.8%
(fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64))
▶44.0%
(/.f64 (-.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (*.f64 x x)) (+.f64 #s(literal 918938533204673/1000000000000000 binary64) x))
▶50.7%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal -1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64))))
✓54.3%
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)
✓46.9%
(*.f64 y (+.f64 #s(literal -1/2 binary64) x))
✓26.1%
(*.f64 y #s(literal -1/2 binary64))
✓23.5%
(*.f64 x y)
✓29.5%
(neg.f64 x)
▶2.5%
x
✓26.3%
#s(literal 918938533204673/1000000000000000 binary64)
Compiler

Compiled 66 to 49 computations (25.8% saved)

simplify37.0ms (0.5%)

Memory
-6.8MiB live, 32.2MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 7 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(+.f64 #s(literal 918938533204673/1000000000000000 binary64) x)
✓cost-diff0
(*.f64 x x)
✓cost-diff0
(-.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (*.f64 x x))
✓cost-diff128
(/.f64 (-.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (*.f64 x x)) (+.f64 #s(literal 918938533204673/1000000000000000 binary64) x))
✓cost-diff0
(fma.f64 y #s(literal -1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64))
✓cost-diff0
(/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal -1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64)))
✓cost-diff1408
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal -1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64))))
Rules
360×lower-fma.f32
358×lower-fma.f64
252×lower-*.f32
250×lower-*.f64
164×times-frac
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01346
02142
13642
25842
38542
412542
517842
623742
732042
838342
957442
10106642
11109142
12112142
13114142
0114141
Stop Event
1×iter limit
1×saturated
1×iter limit
Calls
Call 1
Inputs
x
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal -1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64))))
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) (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))
y
#s(literal -1/2 binary64)
#s(literal 918938533204673/1000000000000000 binary64)
(/.f64 (-.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (*.f64 x x)) (+.f64 #s(literal 918938533204673/1000000000000000 binary64) x))
(-.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (*.f64 x x))
#s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64)
(*.f64 x x)
x
(+.f64 #s(literal 918938533204673/1000000000000000 binary64) x)
#s(literal 918938533204673/1000000000000000 binary64)
Outputs
x
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (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))
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) (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))
y
#s(literal -1/2 binary64)
#s(literal 918938533204673/1000000000000000 binary64)
(/.f64 (-.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (*.f64 x x)) (+.f64 #s(literal 918938533204673/1000000000000000 binary64) x))
(/.f64 (fma.f64 x x #s(literal -844448027808355901771309036929/1000000000000000000000000000000 binary64)) (-.f64 #s(literal -918938533204673/1000000000000000 binary64) x))
(-.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (*.f64 x x))
#s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64)
(*.f64 x x)
x
(+.f64 #s(literal 918938533204673/1000000000000000 binary64) x)
(+.f64 x #s(literal 918938533204673/1000000000000000 binary64))
#s(literal 918938533204673/1000000000000000 binary64)

localize55.0ms (0.8%)

Memory
4.3MiB live, 121.0MiB allocated
Localize:

Found 7 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(*.f64 x x)
✓accuracy100.0%
(+.f64 #s(literal 918938533204673/1000000000000000 binary64) x)
✓accuracy100.0%
(-.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (*.f64 x x))
✓accuracy83.2%
(/.f64 (-.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (*.f64 x x)) (+.f64 #s(literal 918938533204673/1000000000000000 binary64) x))
✓accuracy100.0%
(fma.f64 y #s(literal -1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64))
✓accuracy100.0%
(/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal -1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64)))
✓accuracy99.9%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal -1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64))))
Samples
35.0ms256×0valid
Compiler

Compiled 48 to 16 computations (66.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 24.0ms
const: 10.0ms (40.8% of total)
ival-div: 7.0ms (28.6% of total)
ival-mult: 4.0ms (16.3% of total)
ival-add: 2.0ms (8.2% of total)
ival-sub: 1.0ms (4.1% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series3.0ms (0%)

Memory
8.4MiB live, 8.4MiB allocated
Counts
7 → 84
Calls
Call 1
Inputs
#<alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal -1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64))))>
#<alt (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal -1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64)))>
#<alt (fma.f64 y #s(literal -1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64))>
#<alt (/.f64 (-.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (*.f64 x x)) (+.f64 #s(literal 918938533204673/1000000000000000 binary64) x))>
#<alt (-.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (*.f64 x x))>
#<alt (*.f64 x x)>
#<alt (+.f64 #s(literal 918938533204673/1000000000000000 binary64) x)>
Outputs
#<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 1000000000000000/918938533204673>
#<alt (+ 1000000000000000/918938533204673 (* 500000000000000000000000000000/844448027808355901771309036929 y))>
#<alt (+ 1000000000000000/918938533204673 (* y (+ 500000000000000000000000000000/844448027808355901771309036929 (* 250000000000000000000000000000000000000000000/775995832041789488711238455368417219672369217 y))))>
#<alt (+ 1000000000000000/918938533204673 (* y (+ 500000000000000000000000000000/844448027808355901771309036929 (* y (+ 250000000000000000000000000000000000000000000/775995832041789488711238455368417219672369217 (* 125000000000000000000000000000000000000000000000000000000000/713092471669421822382614706812434602753285766506341485751041 y))))))>
#<alt (/ -2 y)>
#<alt (* -1 (/ (+ 2 (* 918938533204673/250000000000000 (/ 1 y))) y))>
#<alt (/ (- (* -1 (/ (+ 918938533204673/250000000000000 (* 844448027808355901771309036929/125000000000000000000000000000 (/ 1 y))) y)) 2) y)>
#<alt (/ (- (* -1 (/ (+ 844448027808355901771309036929/125000000000000000000000000000 (* 775995832041789488711238455368417219672369217/62500000000000000000000000000000000000000000 (/ 1 y))) (pow y 2))) (+ 2 (* 918938533204673/250000000000000 (/ 1 y)))) y)>
#<alt (/ -2 y)>
#<alt (* -1 (/ (+ 2 (* 918938533204673/250000000000000 (/ 1 y))) y))>
#<alt (* -1 (/ (+ 2 (+ (* 918938533204673/250000000000000 (/ 1 y)) (/ 844448027808355901771309036929/125000000000000000000000000000 (pow y 2)))) y))>
#<alt (* -1 (/ (+ 2 (* -1 (/ (- (* -1 (/ (+ 844448027808355901771309036929/125000000000000000000000000000 (* 775995832041789488711238455368417219672369217/62500000000000000000000000000000000000000000 (/ 1 y))) y)) 918938533204673/250000000000000) y))) y))>
#<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 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 844448027808355901771309036929/1000000000000000000000000000000>
#<alt (+ 844448027808355901771309036929/1000000000000000000000000000000 (* -1 (pow x 2)))>
#<alt (+ 844448027808355901771309036929/1000000000000000000000000000000 (* -1 (pow x 2)))>
#<alt (+ 844448027808355901771309036929/1000000000000000000000000000000 (* -1 (pow x 2)))>
#<alt (* -1 (pow x 2))>
#<alt (* (pow x 2) (- (* 844448027808355901771309036929/1000000000000000000000000000000 (/ 1 (pow x 2))) 1))>
#<alt (* (pow x 2) (- (* 844448027808355901771309036929/1000000000000000000000000000000 (/ 1 (pow x 2))) 1))>
#<alt (* (pow x 2) (- (* 844448027808355901771309036929/1000000000000000000000000000000 (/ 1 (pow x 2))) 1))>
#<alt (* -1 (pow x 2))>
#<alt (* (pow x 2) (- (* 844448027808355901771309036929/1000000000000000000000000000000 (/ 1 (pow x 2))) 1))>
#<alt (* (pow x 2) (- (* 844448027808355901771309036929/1000000000000000000000000000000 (/ 1 (pow x 2))) 1))>
#<alt (* (pow x 2) (- (* 844448027808355901771309036929/1000000000000000000000000000000 (/ 1 (pow x 2))) 1))>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt 918938533204673/1000000000000000>
#<alt (+ 918938533204673/1000000000000000 x)>
#<alt (+ 918938533204673/1000000000000000 x)>
#<alt (+ 918938533204673/1000000000000000 x)>
#<alt x>
#<alt (* x (+ 1 (* 918938533204673/1000000000000000 (/ 1 x))))>
#<alt (* x (+ 1 (* 918938533204673/1000000000000000 (/ 1 x))))>
#<alt (* x (+ 1 (* 918938533204673/1000000000000000 (/ 1 x))))>
#<alt x>
#<alt (* x (+ 1 (* 918938533204673/1000000000000000 (/ 1 x))))>
#<alt (* x (+ 1 (* 918938533204673/1000000000000000 (/ 1 x))))>
#<alt (* x (+ 1 (* 918938533204673/1000000000000000 (/ 1 x))))>
Calls

21 calls:

TimeVariablePointExpression
0.0ms
x
@inf
(/ (- 844448027808355901771309036929/1000000000000000000000000000000 (* x x)) (+ 918938533204673/1000000000000000 x))
0.0ms
x
@0
(/ (- 844448027808355901771309036929/1000000000000000000000000000000 (* x x)) (+ 918938533204673/1000000000000000 x))
0.0ms
x
@-inf
(/ (- 844448027808355901771309036929/1000000000000000000000000000000 (* x x)) (+ 918938533204673/1000000000000000 x))
0.0ms
y
@0
(/ 1 (+ (* y -1/2) 918938533204673/1000000000000000))
0.0ms
y
@inf
(/ 1 (+ (* y -1/2) 918938533204673/1000000000000000))

rewrite304.0ms (4.2%)

Memory
-8.2MiB live, 584.4MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
4 956×lower-*.f32
4 954×lower-*.f64
4 138×lower-/.f32
4 132×lower-/.f64
4 034×lower-fma.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01338
02134
19528
261828
0801428
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
7 → 799
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal -1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64))))
(/.f64 #s(literal 1 binary64) (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 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (*.f64 x x)) (+.f64 #s(literal 918938533204673/1000000000000000 binary64) x))
(-.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (*.f64 x x))
(*.f64 x x)
(+.f64 #s(literal 918938533204673/1000000000000000 binary64) x)
Outputs
(+.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 y #s(literal -1/2 binary64)))
(+.f64 #s(literal 918938533204673/1000000000000000 binary64) (neg.f64 (*.f64 y #s(literal 1/2 binary64))))
(+.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 #s(literal -1 binary64) (*.f64 y #s(literal 1/2 binary64))))
(+.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 (*.f64 y #s(literal 1/2 binary64)) #s(literal -1 binary64)))
(+.f64 (*.f64 y #s(literal -1/2 binary64)) #s(literal 918938533204673/1000000000000000 binary64))
(+.f64 (/.f64 (*.f64 (*.f64 y y) #s(literal 1/4 binary64)) (fma.f64 y #s(literal -1/2 binary64) #s(literal -918938533204673/1000000000000000 binary64))) (neg.f64 (/.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (fma.f64 y #s(literal -1/2 binary64) #s(literal -918938533204673/1000000000000000 binary64)))))
(+.f64 (neg.f64 (*.f64 y #s(literal 1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64))
(+.f64 (*.f64 #s(literal -1 binary64) (*.f64 y #s(literal 1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64))
(+.f64 (*.f64 (*.f64 y #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 918938533204673/1000000000000000 binary64))
(exp.f64 (log.f64 (fma.f64 y #s(literal -1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64))))
(exp.f64 (*.f64 (log.f64 (fma.f64 y #s(literal -1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64))) #s(literal 1 binary64)))
(-.f64 #s(literal 0 binary64) (fma.f64 y #s(literal 1/2 binary64) #s(literal -918938533204673/1000000000000000 binary64)))
(-.f64 (/.f64 (*.f64 (*.f64 y y) #s(literal 1/4 binary64)) (fma.f64 y #s(literal -1/2 binary64) #s(literal -918938533204673/1000000000000000 binary64))) (/.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (fma.f64 y #s(literal -1/2 binary64) #s(literal -918938533204673/1000000000000000 binary64))))
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 y y) #s(literal 1/4 binary64)) (fma.f64 y #s(literal -1/2 binary64) #s(literal -918938533204673/1000000000000000 binary64))) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (fma.f64 y #s(literal -1/2 binary64) #s(literal -918938533204673/1000000000000000 binary64))) #s(literal 1 binary64)))
(-.f64 (/.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 y #s(literal 1/2 binary64)))) (/.f64 (*.f64 (*.f64 y y) #s(literal 1/4 binary64)) (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 y #s(literal 1/2 binary64)))))
(fma.f64 #s(literal 1 binary64) (*.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 y (/.f64 (*.f64 y #s(literal 1/4 binary64)) (fma.f64 y #s(literal -1/2 binary64) #s(literal -918938533204673/1000000000000000 binary64))) (neg.f64 (/.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (fma.f64 y #s(literal -1/2 binary64) #s(literal -918938533204673/1000000000000000 binary64)))))
(fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64))
(fma.f64 #s(literal -1/2 binary64) (*.f64 y #s(literal 1 binary64)) #s(literal 918938533204673/1000000000000000 binary64))
(fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 y (*.f64 y #s(literal -1/2 binary64))) (fma.f64 y #s(literal -1/2 binary64) #s(literal -918938533204673/1000000000000000 binary64))) (neg.f64 (/.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (fma.f64 y #s(literal -1/2 binary64) #s(literal -918938533204673/1000000000000000 binary64)))))
(fma.f64 (*.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64) #s(literal 918938533204673/1000000000000000 binary64))
(fma.f64 (*.f64 y #s(literal -1/2 binary64)) (/.f64 (*.f64 y #s(literal -1/2 binary64)) (fma.f64 y #s(literal -1/2 binary64) #s(literal -918938533204673/1000000000000000 binary64))) (neg.f64 (/.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (fma.f64 y #s(literal -1/2 binary64) #s(literal -918938533204673/1000000000000000 binary64)))))
(fma.f64 #s(literal -1 binary64) (*.f64 y #s(literal 1/2 binary64)) #s(literal 918938533204673/1000000000000000 binary64))
(fma.f64 (*.f64 (*.f64 y 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 (/.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (fma.f64 y #s(literal -1/2 binary64) #s(literal -918938533204673/1000000000000000 binary64)))))
(fma.f64 (*.f64 y y) (/.f64 #s(literal 1/4 binary64) (fma.f64 y #s(literal -1/2 binary64) #s(literal -918938533204673/1000000000000000 binary64))) (neg.f64 (/.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (fma.f64 y #s(literal -1/2 binary64) #s(literal -918938533204673/1000000000000000 binary64)))))
(fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 y y) (fma.f64 y #s(literal -1/2 binary64) #s(literal -918938533204673/1000000000000000 binary64))) (neg.f64 (/.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (fma.f64 y #s(literal -1/2 binary64) #s(literal -918938533204673/1000000000000000 binary64)))))
(fma.f64 (*.f64 y #s(literal 1/2 binary64)) #s(literal -1 binary64) #s(literal 918938533204673/1000000000000000 binary64))
(fma.f64 (*.f64 y #s(literal 1/4 binary64)) (/.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal -918938533204673/1000000000000000 binary64))) (neg.f64 (/.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (fma.f64 y #s(literal -1/2 binary64) #s(literal -918938533204673/1000000000000000 binary64)))))
(fma.f64 (*.f64 y (*.f64 y #s(literal -1/2 binary64))) (/.f64 #s(literal -1/2 binary64) (fma.f64 y #s(literal -1/2 binary64) #s(literal -918938533204673/1000000000000000 binary64))) (neg.f64 (/.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (fma.f64 y #s(literal -1/2 binary64) #s(literal -918938533204673/1000000000000000 binary64)))))
(fma.f64 (*.f64 #s(literal 1 binary64) y) #s(literal -1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64))
(fma.f64 (/.f64 (*.f64 (*.f64 y y) #s(literal 1/4 binary64)) (fma.f64 y (*.f64 y #s(literal 1/4 binary64)) #s(literal -844448027808355901771309036929/1000000000000000000000000000000 binary64))) (fma.f64 y #s(literal -1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64)) (neg.f64 (/.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (fma.f64 y #s(literal -1/2 binary64) #s(literal -918938533204673/1000000000000000 binary64)))))
(fma.f64 (/.f64 (*.f64 (*.f64 y y) #s(literal 1/4 binary64)) (fma.f64 (*.f64 y (*.f64 y y)) #s(literal -1/8 binary64) #s(literal -775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 binary64))) (fma.f64 y (*.f64 y #s(literal 1/4 binary64)) (fma.f64 y #s(literal -918938533204673/2000000000000000 binary64) #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64))) (neg.f64 (/.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (fma.f64 y #s(literal -1/2 binary64) #s(literal -918938533204673/1000000000000000 binary64)))))
(neg.f64 (fma.f64 y #s(literal 1/2 binary64) #s(literal -918938533204673/1000000000000000 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal -1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 y #s(literal 1/2 binary64))) (+.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 y y)))))
(/.f64 (fma.f64 y #s(literal -1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64)) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (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)) #s(literal -1 binary64))
(/.f64 (fma.f64 (*.f64 y (*.f64 y y)) #s(literal -1/8 binary64) #s(literal 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 binary64)) (fma.f64 y (-.f64 (*.f64 y #s(literal 1/4 binary64)) #s(literal -918938533204673/2000000000000000 binary64)) #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64)))
(/.f64 (fma.f64 (*.f64 y (*.f64 y y)) #s(literal -1/8 binary64) #s(literal 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 binary64)) (neg.f64 (neg.f64 (fma.f64 y (-.f64 (*.f64 y #s(literal 1/4 binary64)) #s(literal -918938533204673/2000000000000000 binary64)) #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64)))))
(/.f64 (fma.f64 (*.f64 y (*.f64 y y)) #s(literal -1/8 binary64) #s(literal 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 binary64)) (*.f64 #s(literal -1 binary64) (neg.f64 (fma.f64 y (-.f64 (*.f64 y #s(literal 1/4 binary64)) #s(literal -918938533204673/2000000000000000 binary64)) #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64)))))
(/.f64 (fma.f64 y (*.f64 y #s(literal 1/4 binary64)) #s(literal -844448027808355901771309036929/1000000000000000000000000000000 binary64)) (fma.f64 y #s(literal -1/2 binary64) #s(literal -918938533204673/1000000000000000 binary64)))
(/.f64 (fma.f64 y (*.f64 y #s(literal 1/4 binary64)) #s(literal -844448027808355901771309036929/1000000000000000000000000000000 binary64)) (*.f64 #s(literal -1 binary64) (fma.f64 y #s(literal 1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64))))
(/.f64 (neg.f64 (fma.f64 (*.f64 y (*.f64 y y)) #s(literal -1/8 binary64) #s(literal 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 binary64))) (neg.f64 (fma.f64 y (-.f64 (*.f64 y #s(literal 1/4 binary64)) #s(literal -918938533204673/2000000000000000 binary64)) #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64))))
(/.f64 (neg.f64 (fma.f64 (*.f64 y (*.f64 y y)) #s(literal -1/8 binary64) #s(literal 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 binary64))) (*.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 y (-.f64 (*.f64 y #s(literal 1/4 binary64)) #s(literal -918938533204673/2000000000000000 binary64)) #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64)))))
(/.f64 (neg.f64 (fma.f64 y (*.f64 y #s(literal 1/4 binary64)) #s(literal -844448027808355901771309036929/1000000000000000000000000000000 binary64))) (fma.f64 y #s(literal 1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64)))
(/.f64 (neg.f64 (fma.f64 y (*.f64 y #s(literal 1/4 binary64)) #s(literal -844448027808355901771309036929/1000000000000000000000000000000 binary64))) (*.f64 #s(literal 1 binary64) (fma.f64 y #s(literal 1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64))))
(/.f64 (fma.f64 (*.f64 (*.f64 y (*.f64 y y)) #s(literal -1/8 binary64)) (*.f64 #s(literal 1/64 binary64) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y)))) #s(literal 467281046507231535557839844855961690659155326809117752385379341233607442881727175514780123368029846518396839376786774913239842372741313/1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 binary64)) (*.f64 (fma.f64 y (-.f64 (*.f64 y #s(literal 1/4 binary64)) #s(literal -918938533204673/2000000000000000 binary64)) #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64)) (-.f64 (fma.f64 #s(literal 1/64 binary64) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))) #s(literal 602169531346229162124410547214766300102947990270042776016856015928398225588775409969193089/1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 binary64)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal -775995832041789488711238455368417219672369217/8000000000000000000000000000000000000000000000 binary64)))))
(/.f64 (fma.f64 #s(literal 1/64 binary64) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))) #s(literal -602169531346229162124410547214766300102947990270042776016856015928398225588775409969193089/1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 binary64)) (*.f64 (fma.f64 y (-.f64 (*.f64 y #s(literal 1/4 binary64)) #s(literal -918938533204673/2000000000000000 binary64)) #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64)) (fma.f64 (*.f64 y (*.f64 y y)) #s(literal -1/8 binary64) #s(literal -775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 binary64))))
(/.f64 (fma.f64 #s(literal 1/64 binary64) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))) #s(literal -602169531346229162124410547214766300102947990270042776016856015928398225588775409969193089/1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 binary64)) (*.f64 (fma.f64 y #s(literal -1/2 binary64) #s(literal -918938533204673/1000000000000000 binary64)) (fma.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/16 binary64) (fma.f64 (*.f64 y y) #s(literal 844448027808355901771309036929/4000000000000000000000000000000 binary64) #s(literal 713092471669421822382614706812434602753285766506341485751041/1000000000000000000000000000000000000000000000000000000000000 binary64)))))
(/.f64 (+.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 y y))) (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 y #s(literal 1/2 binary64))))
(/.f64 (+.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 y y))) (*.f64 #s(literal 1 binary64) (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 y #s(literal 1/2 binary64)))))
(/.f64 (fma.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/16 binary64) #s(literal -713092471669421822382614706812434602753285766506341485751041/1000000000000000000000000000000000000000000000000000000000000 binary64)) (*.f64 (fma.f64 y #s(literal -1/2 binary64) #s(literal -918938533204673/1000000000000000 binary64)) (fma.f64 (*.f64 y y) #s(literal 1/4 binary64) #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64))))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 y y) #s(literal 1/4 binary64)) (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)) #s(literal 844448027808355901771309036929/1000000000000000000000000000000 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 (fma.f64 (*.f64 (*.f64 y (*.f64 y y)) #s(literal -1/8 binary64)) (*.f64 #s(literal 1/64 binary64) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y)))) #s(literal 467281046507231535557839844855961690659155326809117752385379341233607442881727175514780123368029846518396839376786774913239842372741313/1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 binary64)) #s(literal 1 binary64)) (*.f64 (-.f64 (fma.f64 #s(literal 1/64 binary64) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))) #s(literal 602169531346229162124410547214766300102947990270042776016856015928398225588775409969193089/1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 binary64)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal -775995832041789488711238455368417219672369217/8000000000000000000000000000000000000000000000 binary64))) (fma.f64 y (-.f64 (*.f64 y #s(literal 1/4 binary64)) #s(literal -918938533204673/2000000000000000 binary64)) #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64))))
(/.f64 (*.f64 (fma.f64 #s(literal 1/64 binary64) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))) #s(literal -602169531346229162124410547214766300102947990270042776016856015928398225588775409969193089/1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 y (*.f64 y y)) #s(literal -1/8 binary64) #s(literal -775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 binary64)) (fma.f64 y (-.f64 (*.f64 y #s(literal 1/4 binary64)) #s(literal -918938533204673/2000000000000000 binary64)) #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64))))
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(*.f64 (/.f64 (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (neg.f64 x)) #s(literal 602169531346229162124410547214766300102947990270042776016856015928398225588775409969193089/1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 binary64)) (/.f64 (-.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (*.f64 x x)) (fma.f64 x (*.f64 x x) #s(literal 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x (fma.f64 x x #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64))) #s(literal 713092471669421822382614706812434602753285766506341485751041/1000000000000000000000000000000000000000000000000000000000000 binary64))) (fma.f64 x (+.f64 x #s(literal -918938533204673/1000000000000000 binary64)) #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64))))
(*.f64 (/.f64 (-.f64 #s(literal 713092471669421822382614706812434602753285766506341485751041/1000000000000000000000000000000000000000000000000000000000000 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64))) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)))
(*.f64 (/.f64 (-.f64 #s(literal 713092471669421822382614706812434602753285766506341485751041/1000000000000000000000000000000000000000000000000000000000000 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 918938533204673/1000000000000000 binary64) x))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64))) (-.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (*.f64 x x))))
(*.f64 (/.f64 (-.f64 #s(literal 713092471669421822382614706812434602753285766506341485751041/1000000000000000000000000000000000000000000000000000000000000 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (/.f64 (-.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (*.f64 x x)) (fma.f64 x (*.f64 x x) #s(literal 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64))) (fma.f64 x (+.f64 x #s(literal -918938533204673/1000000000000000 binary64)) #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64))))
(*.f64 (/.f64 (-.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (*.f64 x x)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)))
(*.f64 (*.f64 (-.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (*.f64 x x)) (/.f64 (+.f64 #s(literal 918938533204673/1000000000000000 binary64) x) (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (neg.f64 x)) #s(literal 602169531346229162124410547214766300102947990270042776016856015928398225588775409969193089/1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 binary64)))) (fma.f64 x (*.f64 x (fma.f64 x x #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64))) #s(literal 713092471669421822382614706812434602753285766506341485751041/1000000000000000000000000000000000000000000000000000000000000 binary64)))
(*.f64 (*.f64 (-.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) (fma.f64 x x #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64))))) (fma.f64 x x #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64)))
(*.f64 (/.f64 (-.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (*.f64 x x)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)))
(*.f64 (/.f64 (-.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (*.f64 x x)) (fma.f64 x x #s(literal -844448027808355901771309036929/1000000000000000000000000000000 binary64))) (-.f64 #s(literal -918938533204673/1000000000000000 binary64) x))
(*.f64 (/.f64 (-.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (*.f64 x x)) (-.f64 (fma.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) x #s(literal 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 binary64)) (*.f64 (*.f64 x x) (+.f64 #s(literal 918938533204673/1000000000000000 binary64) x)))) (*.f64 (+.f64 #s(literal 918938533204673/1000000000000000 binary64) x) (+.f64 #s(literal 918938533204673/1000000000000000 binary64) x)))
(*.f64 (/.f64 (-.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (*.f64 x x)) (-.f64 #s(literal 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 binary64) (*.f64 x (*.f64 x x)))) (fma.f64 x (+.f64 #s(literal 918938533204673/1000000000000000 binary64) x) #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64)))
(*.f64 (/.f64 (-.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (*.f64 x x)) (*.f64 (fma.f64 (/.f64 (*.f64 x x) (+.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) (fma.f64 x x #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64))) (/.f64 #s(literal 713092471669421822382614706812434602753285766506341485751041/1000000000000000000000000000000000000000000000000000000000000 binary64) (*.f64 (+.f64 #s(literal 918938533204673/1000000000000000 binary64) x) (+.f64 #s(literal 918938533204673/1000000000000000 binary64) x)))) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x))) (fma.f64 (/.f64 (*.f64 x x) (+.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) (fma.f64 x x #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64))) (/.f64 #s(literal 713092471669421822382614706812434602753285766506341485751041/1000000000000000000000000000000000000000000000000000000000000 binary64) (*.f64 (+.f64 #s(literal 918938533204673/1000000000000000 binary64) x) (+.f64 #s(literal 918938533204673/1000000000000000 binary64) x)))))
(*.f64 (/.f64 (-.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (*.f64 x x)) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) (fma.f64 x x #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64))) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) (fma.f64 x x #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64))))
(*.f64 (/.f64 (-.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (*.f64 x x)) (/.f64 (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (neg.f64 x)) #s(literal 602169531346229162124410547214766300102947990270042776016856015928398225588775409969193089/1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 binary64)) (+.f64 #s(literal 918938533204673/1000000000000000 binary64) x))) (fma.f64 x (*.f64 x (fma.f64 x x #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64))) #s(literal 713092471669421822382614706812434602753285766506341485751041/1000000000000000000000000000000000000000000000000000000000000 binary64)))
(*.f64 (/.f64 (-.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (*.f64 x x)) (*.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) (fma.f64 x x #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64)))) (fma.f64 x x #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64)))
(*.f64 (/.f64 (fma.f64 x (*.f64 x x) #s(literal 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 binary64)) (fma.f64 (*.f64 x (+.f64 x #s(literal -918938533204673/1000000000000000 binary64))) (*.f64 x (*.f64 (+.f64 x #s(literal -918938533204673/1000000000000000 binary64)) (*.f64 x (+.f64 x #s(literal -918938533204673/1000000000000000 binary64))))) #s(literal 602169531346229162124410547214766300102947990270042776016856015928398225588775409969193089/1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 binary64))) (fma.f64 (*.f64 x (+.f64 x #s(literal -918938533204673/1000000000000000 binary64))) (-.f64 (*.f64 x (+.f64 x #s(literal -918938533204673/1000000000000000 binary64))) #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64)) #s(literal 713092471669421822382614706812434602753285766506341485751041/1000000000000000000000000000000000000000000000000000000000000 binary64)))
(*.f64 (/.f64 (fma.f64 x (*.f64 x x) #s(literal 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 binary64)) (-.f64 #s(literal 713092471669421822382614706812434602753285766506341485751041/1000000000000000000000000000000000000000000000000000000000000 binary64) (*.f64 x (*.f64 (+.f64 x #s(literal -918938533204673/1000000000000000 binary64)) (*.f64 x (+.f64 x #s(literal -918938533204673/1000000000000000 binary64))))))) (-.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (*.f64 x (+.f64 x #s(literal -918938533204673/1000000000000000 binary64)))))

simplify231.0ms (3.2%)

Memory
17.4MiB live, 413.8MiB allocated
Algorithm
1×egg-herbie
Rules
6 686×lower-fma.f64
6 686×lower-fma.f32
2 348×lower-*.f64
2 348×lower-*.f32
1 350×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
088384
1231362
2516356
31169356
42300356
54302356
66970356
08068332
Stop Event
1×iter limit
1×node limit
Counts
84 → 82
Calls
Call 1
Inputs
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)))))
1000000000000000/918938533204673
(+ 1000000000000000/918938533204673 (* 500000000000000000000000000000/844448027808355901771309036929 y))
(+ 1000000000000000/918938533204673 (* y (+ 500000000000000000000000000000/844448027808355901771309036929 (* 250000000000000000000000000000000000000000000/775995832041789488711238455368417219672369217 y))))
(+ 1000000000000000/918938533204673 (* y (+ 500000000000000000000000000000/844448027808355901771309036929 (* y (+ 250000000000000000000000000000000000000000000/775995832041789488711238455368417219672369217 (* 125000000000000000000000000000000000000000000000000000000000/713092471669421822382614706812434602753285766506341485751041 y))))))
(/ -2 y)
(* -1 (/ (+ 2 (* 918938533204673/250000000000000 (/ 1 y))) y))
(/ (- (* -1 (/ (+ 918938533204673/250000000000000 (* 844448027808355901771309036929/125000000000000000000000000000 (/ 1 y))) y)) 2) y)
(/ (- (* -1 (/ (+ 844448027808355901771309036929/125000000000000000000000000000 (* 775995832041789488711238455368417219672369217/62500000000000000000000000000000000000000000 (/ 1 y))) (pow y 2))) (+ 2 (* 918938533204673/250000000000000 (/ 1 y)))) y)
(/ -2 y)
(* -1 (/ (+ 2 (* 918938533204673/250000000000000 (/ 1 y))) y))
(* -1 (/ (+ 2 (+ (* 918938533204673/250000000000000 (/ 1 y)) (/ 844448027808355901771309036929/125000000000000000000000000000 (pow y 2)))) y))
(* -1 (/ (+ 2 (* -1 (/ (- (* -1 (/ (+ 844448027808355901771309036929/125000000000000000000000000000 (* 775995832041789488711238455368417219672369217/62500000000000000000000000000000000000000000 (/ 1 y))) y)) 918938533204673/250000000000000) y))) y))
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)))))
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)))))
844448027808355901771309036929/1000000000000000000000000000000
(+ 844448027808355901771309036929/1000000000000000000000000000000 (* -1 (pow x 2)))
(+ 844448027808355901771309036929/1000000000000000000000000000000 (* -1 (pow x 2)))
(+ 844448027808355901771309036929/1000000000000000000000000000000 (* -1 (pow x 2)))
(* -1 (pow x 2))
(* (pow x 2) (- (* 844448027808355901771309036929/1000000000000000000000000000000 (/ 1 (pow x 2))) 1))
(* (pow x 2) (- (* 844448027808355901771309036929/1000000000000000000000000000000 (/ 1 (pow x 2))) 1))
(* (pow x 2) (- (* 844448027808355901771309036929/1000000000000000000000000000000 (/ 1 (pow x 2))) 1))
(* -1 (pow x 2))
(* (pow x 2) (- (* 844448027808355901771309036929/1000000000000000000000000000000 (/ 1 (pow x 2))) 1))
(* (pow x 2) (- (* 844448027808355901771309036929/1000000000000000000000000000000 (/ 1 (pow x 2))) 1))
(* (pow x 2) (- (* 844448027808355901771309036929/1000000000000000000000000000000 (/ 1 (pow x 2))) 1))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
918938533204673/1000000000000000
(+ 918938533204673/1000000000000000 x)
(+ 918938533204673/1000000000000000 x)
(+ 918938533204673/1000000000000000 x)
x
(* x (+ 1 (* 918938533204673/1000000000000000 (/ 1 x))))
(* x (+ 1 (* 918938533204673/1000000000000000 (/ 1 x))))
(* x (+ 1 (* 918938533204673/1000000000000000 (/ 1 x))))
x
(* x (+ 1 (* 918938533204673/1000000000000000 (/ 1 x))))
(* x (+ 1 (* 918938533204673/1000000000000000 (/ 1 x))))
(* x (+ 1 (* 918938533204673/1000000000000000 (/ 1 x))))
Outputs
918938533204673/1000000000000000
#s(literal 918938533204673/1000000000000000 binary64)
(+ 918938533204673/1000000000000000 (* -1/2 y))
(fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64))
(+ 918938533204673/1000000000000000 (* -1/2 y))
(fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64))
(+ 918938533204673/1000000000000000 (* -1/2 y))
(fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64))
(* -1/2 y)
(*.f64 #s(literal -1/2 binary64) y)
(* y (- (* 918938533204673/1000000000000000 (/ 1 y)) 1/2))
(fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64))
(* y (- (* 918938533204673/1000000000000000 (/ 1 y)) 1/2))
(fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64))
(* y (- (* 918938533204673/1000000000000000 (/ 1 y)) 1/2))
(fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64))
(* -1/2 y)
(*.f64 #s(literal -1/2 binary64) y)
(* -1 (* y (- 1/2 (* 918938533204673/1000000000000000 (/ 1 y)))))
(fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64))
(* -1 (* y (- 1/2 (* 918938533204673/1000000000000000 (/ 1 y)))))
(fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64))
(* -1 (* y (- 1/2 (* 918938533204673/1000000000000000 (/ 1 y)))))
(fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64))
1000000000000000/918938533204673
#s(literal 1000000000000000/918938533204673 binary64)
(+ 1000000000000000/918938533204673 (* 500000000000000000000000000000/844448027808355901771309036929 y))
(fma.f64 y #s(literal 500000000000000000000000000000/844448027808355901771309036929 binary64) #s(literal 1000000000000000/918938533204673 binary64))
(+ 1000000000000000/918938533204673 (* y (+ 500000000000000000000000000000/844448027808355901771309036929 (* 250000000000000000000000000000000000000000000/775995832041789488711238455368417219672369217 y))))
(fma.f64 y (fma.f64 y #s(literal 250000000000000000000000000000000000000000000/775995832041789488711238455368417219672369217 binary64) #s(literal 500000000000000000000000000000/844448027808355901771309036929 binary64)) #s(literal 1000000000000000/918938533204673 binary64))
(+ 1000000000000000/918938533204673 (* y (+ 500000000000000000000000000000/844448027808355901771309036929 (* y (+ 250000000000000000000000000000000000000000000/775995832041789488711238455368417219672369217 (* 125000000000000000000000000000000000000000000000000000000000/713092471669421822382614706812434602753285766506341485751041 y))))))
(fma.f64 y (fma.f64 y (fma.f64 y #s(literal 125000000000000000000000000000000000000000000000000000000000/713092471669421822382614706812434602753285766506341485751041 binary64) #s(literal 250000000000000000000000000000000000000000000/775995832041789488711238455368417219672369217 binary64)) #s(literal 500000000000000000000000000000/844448027808355901771309036929 binary64)) #s(literal 1000000000000000/918938533204673 binary64))
(/ -2 y)
(/.f64 #s(literal -2 binary64) y)
(* -1 (/ (+ 2 (* 918938533204673/250000000000000 (/ 1 y))) y))
(/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -918938533204673/250000000000000 binary64) y)) y)
(/ (- (* -1 (/ (+ 918938533204673/250000000000000 (* 844448027808355901771309036929/125000000000000000000000000000 (/ 1 y))) y)) 2) y)
(/.f64 (+.f64 #s(literal -2 binary64) (/.f64 (+.f64 #s(literal -918938533204673/250000000000000 binary64) (/.f64 #s(literal -844448027808355901771309036929/125000000000000000000000000000 binary64) y)) y)) y)
(/ (- (* -1 (/ (+ 844448027808355901771309036929/125000000000000000000000000000 (* 775995832041789488711238455368417219672369217/62500000000000000000000000000000000000000000 (/ 1 y))) (pow y 2))) (+ 2 (* 918938533204673/250000000000000 (/ 1 y)))) y)
(/.f64 (+.f64 #s(literal -2 binary64) (/.f64 (-.f64 #s(literal -918938533204673/250000000000000 binary64) (/.f64 (+.f64 #s(literal 844448027808355901771309036929/125000000000000000000000000000 binary64) (/.f64 #s(literal 775995832041789488711238455368417219672369217/62500000000000000000000000000000000000000000 binary64) y)) y)) y)) y)
(/ -2 y)
(/.f64 #s(literal -2 binary64) y)
(* -1 (/ (+ 2 (* 918938533204673/250000000000000 (/ 1 y))) y))
(/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -918938533204673/250000000000000 binary64) y)) y)
(* -1 (/ (+ 2 (+ (* 918938533204673/250000000000000 (/ 1 y)) (/ 844448027808355901771309036929/125000000000000000000000000000 (pow y 2)))) y))
(/.f64 (+.f64 #s(literal -2 binary64) (/.f64 (+.f64 #s(literal -918938533204673/250000000000000 binary64) (/.f64 #s(literal -844448027808355901771309036929/125000000000000000000000000000 binary64) y)) y)) y)
(* -1 (/ (+ 2 (* -1 (/ (- (* -1 (/ (+ 844448027808355901771309036929/125000000000000000000000000000 (* 775995832041789488711238455368417219672369217/62500000000000000000000000000000000000000000 (/ 1 y))) y)) 918938533204673/250000000000000) y))) y))
(/.f64 (+.f64 #s(literal -2 binary64) (/.f64 (-.f64 #s(literal -918938533204673/250000000000000 binary64) (/.f64 (+.f64 #s(literal 844448027808355901771309036929/125000000000000000000000000000 binary64) (/.f64 #s(literal 775995832041789488711238455368417219672369217/62500000000000000000000000000000000000000000 binary64) y)) y)) y)) y)
918938533204673/1000000000000000
#s(literal 918938533204673/1000000000000000 binary64)
(+ 918938533204673/1000000000000000 (* -1/2 y))
(fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64))
(+ 918938533204673/1000000000000000 (* -1/2 y))
(fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64))
(+ 918938533204673/1000000000000000 (* -1/2 y))
(fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64))
(* -1/2 y)
(*.f64 #s(literal -1/2 binary64) y)
(* y (- (* 918938533204673/1000000000000000 (/ 1 y)) 1/2))
(fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64))
(* y (- (* 918938533204673/1000000000000000 (/ 1 y)) 1/2))
(fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64))
(* y (- (* 918938533204673/1000000000000000 (/ 1 y)) 1/2))
(fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64))
(* -1/2 y)
(*.f64 #s(literal -1/2 binary64) y)
(* -1 (* y (- 1/2 (* 918938533204673/1000000000000000 (/ 1 y)))))
(fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64))
(* -1 (* y (- 1/2 (* 918938533204673/1000000000000000 (/ 1 y)))))
(fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64))
(* -1 (* y (- 1/2 (* 918938533204673/1000000000000000 (/ 1 y)))))
(fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64))
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)
844448027808355901771309036929/1000000000000000000000000000000
#s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64)
(+ 844448027808355901771309036929/1000000000000000000000000000000 (* -1 (pow x 2)))
(-.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (*.f64 x x))
(+ 844448027808355901771309036929/1000000000000000000000000000000 (* -1 (pow x 2)))
(-.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (*.f64 x x))
(+ 844448027808355901771309036929/1000000000000000000000000000000 (* -1 (pow x 2)))
(-.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (*.f64 x x))
(* -1 (pow x 2))
(neg.f64 (*.f64 x x))
(* (pow x 2) (- (* 844448027808355901771309036929/1000000000000000000000000000000 (/ 1 (pow x 2))) 1))
(-.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (*.f64 x x))
(* (pow x 2) (- (* 844448027808355901771309036929/1000000000000000000000000000000 (/ 1 (pow x 2))) 1))
(-.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (*.f64 x x))
(* (pow x 2) (- (* 844448027808355901771309036929/1000000000000000000000000000000 (/ 1 (pow x 2))) 1))
(-.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (*.f64 x x))
(* -1 (pow x 2))
(neg.f64 (*.f64 x x))
(* (pow x 2) (- (* 844448027808355901771309036929/1000000000000000000000000000000 (/ 1 (pow x 2))) 1))
(-.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (*.f64 x x))
(* (pow x 2) (- (* 844448027808355901771309036929/1000000000000000000000000000000 (/ 1 (pow x 2))) 1))
(-.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (*.f64 x x))
(* (pow x 2) (- (* 844448027808355901771309036929/1000000000000000000000000000000 (/ 1 (pow x 2))) 1))
(-.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (*.f64 x x))
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
918938533204673/1000000000000000
#s(literal 918938533204673/1000000000000000 binary64)
(+ 918938533204673/1000000000000000 x)
(+.f64 #s(literal 918938533204673/1000000000000000 binary64) x)
(+ 918938533204673/1000000000000000 x)
(+.f64 #s(literal 918938533204673/1000000000000000 binary64) x)
(+ 918938533204673/1000000000000000 x)
(+.f64 #s(literal 918938533204673/1000000000000000 binary64) x)
x
(* x (+ 1 (* 918938533204673/1000000000000000 (/ 1 x))))
(+.f64 #s(literal 918938533204673/1000000000000000 binary64) x)
(* x (+ 1 (* 918938533204673/1000000000000000 (/ 1 x))))
(+.f64 #s(literal 918938533204673/1000000000000000 binary64) x)
(* x (+ 1 (* 918938533204673/1000000000000000 (/ 1 x))))
(+.f64 #s(literal 918938533204673/1000000000000000 binary64) x)
x
(* x (+ 1 (* 918938533204673/1000000000000000 (/ 1 x))))
(+.f64 #s(literal 918938533204673/1000000000000000 binary64) x)
(* x (+ 1 (* 918938533204673/1000000000000000 (/ 1 x))))
(+.f64 #s(literal 918938533204673/1000000000000000 binary64) x)
(* x (+ 1 (* 918938533204673/1000000000000000 (/ 1 x))))
(+.f64 #s(literal 918938533204673/1000000000000000 binary64) x)

eval111.0ms (1.5%)

Memory
5.2MiB live, 280.5MiB allocated
Compiler

Compiled 20 380 to 2 049 computations (89.9% saved)

prune114.0ms (1.6%)

Memory
-23.8MiB live, 332.5MiB allocated
Pruning

11 alts after pruning (0 fresh and 11 done)

PrunedKeptTotal
New8810881
Fresh000
Picked033
Done088
Total88111892
Accuracy
100.0%
Counts
892 → 11
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓50.7%
(fma.f64 y x (neg.f64 x))
✓50.8%
(fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64))
✓44.0%
(/.f64 (-.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (*.f64 x x)) (+.f64 #s(literal 918938533204673/1000000000000000 binary64) x))
✓50.7%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal -1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64))))
✓54.3%
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)
✓46.9%
(*.f64 y (+.f64 #s(literal -1/2 binary64) x))
✓26.1%
(*.f64 y #s(literal -1/2 binary64))
✓23.5%
(*.f64 x y)
✓29.5%
(neg.f64 x)
✓2.5%
x
✓26.3%
#s(literal 918938533204673/1000000000000000 binary64)
Compiler

Compiled 149 to 86 computations (42.3% saved)

regimes23.0ms (0.3%)

Memory
22.8MiB live, 61.5MiB allocated
Counts
15 → 1
Calls
Call 1
Inputs
#s(literal 918938533204673/1000000000000000 binary64)
x
(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)
(fma.f64 y x (neg.f64 x))
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x))
(+.f64 (-.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 y #s(literal 1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64))
(/.f64 (-.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (*.f64 x x)) (+.f64 #s(literal 918938533204673/1000000000000000 binary64) x))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal -1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 y #s(literal -1 binary64)) (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:

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

Compiled 30 to 22 computations (26.7% saved)

regimes18.0ms (0.2%)

Memory
13.4MiB live, 52.5MiB allocated
Counts
10 → 3
Calls
Call 1
Inputs
#s(literal 918938533204673/1000000000000000 binary64)
x
(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)
(fma.f64 y x (neg.f64 x))
Outputs
(fma.f64 y x (neg.f64 x))
(fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64))
(fma.f64 y x (neg.f64 x))
Calls

4 calls:

6.0ms
(+.f64 (-.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 y #s(literal 1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64))
4.0ms
y
4.0ms
(-.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 y #s(literal 1/2 binary64)))
4.0ms
x
Results
AccuracySegmentsBranch
98.0%3x
97.9%3y
76.5%3(+.f64 (-.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 y #s(literal 1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64))
76.5%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)

regimes10.0ms (0.1%)

Memory
-35.3MiB live, 14.3MiB allocated
Counts
9 → 3
Calls
Call 1
Inputs
#s(literal 918938533204673/1000000000000000 binary64)
x
(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 (*.f64 y x) x)
(fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64))
(-.f64 (*.f64 y x) x)
Calls

1 calls:

9.0ms
x
Results
AccuracySegmentsBranch
98.0%3x
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes7.0ms (0.1%)

Memory
20.2MiB live, 20.2MiB allocated
Counts
8 → 3
Calls
Call 1
Inputs
#s(literal 918938533204673/1000000000000000 binary64)
x
(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))
Outputs
(*.f64 y (+.f64 #s(literal -1/2 binary64) x))
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)
(*.f64 y (+.f64 #s(literal -1/2 binary64) x))
Calls

2 calls:

3.0ms
x
3.0ms
y
Results
AccuracySegmentsBranch
97.9%3y
82.2%5x
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes6.0ms (0.1%)

Memory
-28.0MiB live, 10.9MiB allocated
Counts
7 → 3
Calls
Call 1
Inputs
#s(literal 918938533204673/1000000000000000 binary64)
x
(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
(fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64))
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)
(*.f64 x y)
Calls

1 calls:

5.0ms
y
Results
AccuracySegmentsBranch
79.9%3y
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes6.0ms (0.1%)

Memory
16.3MiB live, 16.3MiB allocated
Counts
6 → 3
Calls
Call 1
Inputs
#s(literal 918938533204673/1000000000000000 binary64)
x
(neg.f64 x)
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)
(*.f64 x y)
(*.f64 y #s(literal -1/2 binary64))
Outputs
(*.f64 y #s(literal -1/2 binary64))
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)
(*.f64 x y)
Calls

2 calls:

3.0ms
x
3.0ms
y
Results
AccuracySegmentsBranch
57.9%3x
79.0%3y
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes10.0ms (0.1%)

Memory
-16.6MiB live, 22.2MiB allocated
Counts
5 → 3
Calls
Call 1
Inputs
#s(literal 918938533204673/1000000000000000 binary64)
x
(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

3 calls:

2.0ms
(-.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 y #s(literal 1/2 binary64)))
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
y
Results
AccuracySegmentsBranch
62.4%3(+.f64 (-.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 y #s(literal 1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64))
62.4%3(-.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 y #s(literal 1/2 binary64)))
74.8%3y
Compiler

Compiled 27 to 20 computations (25.9% saved)

regimes9.0ms (0.1%)

Memory
28.9MiB live, 28.9MiB allocated
Counts
4 → 1
Calls
Call 1
Inputs
#s(literal 918938533204673/1000000000000000 binary64)
x
(neg.f64 x)
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)
Outputs
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)
Calls

4 calls:

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
y
2.0ms
(-.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 y #s(literal 1/2 binary64)))
2.0ms
x
Results
AccuracySegmentsBranch
54.3%1x
54.3%1(+.f64 (-.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 y #s(literal 1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64))
54.3%1(-.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 y #s(literal 1/2 binary64)))
54.3%1y
Compiler

Compiled 30 to 22 computations (26.7% saved)

regimes10.0ms (0.1%)

Memory
-13.5MiB live, 25.4MiB allocated
Counts
3 → 3
Calls
Call 1
Inputs
#s(literal 918938533204673/1000000000000000 binary64)
x
(neg.f64 x)
Outputs
(neg.f64 x)
#s(literal 918938533204673/1000000000000000 binary64)
(neg.f64 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))
2.0ms
y
2.0ms
(-.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 y #s(literal 1/2 binary64)))
2.0ms
x
Results
AccuracySegmentsBranch
32.3%2y
52.6%3x
52.4%3(+.f64 (-.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 y #s(literal 1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64))
52.4%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)

regimes7.0ms (0.1%)

Memory
22.2MiB live, 22.2MiB allocated
Accuracy

Total -15.5b remaining (-32.9%)

Threshold costs -15.5b (-32.9%)

Counts
2 → 1
Calls
Call 1
Inputs
#s(literal 918938533204673/1000000000000000 binary64)
x
Outputs
#s(literal 918938533204673/1000000000000000 binary64)
Calls

4 calls:

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)))
2.0ms
x
Results
AccuracySegmentsBranch
26.3%1y
26.3%1(+.f64 (-.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 y #s(literal 1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64))
26.3%1(-.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 y #s(literal 1/2 binary64)))
26.3%1x
Compiler

Compiled 30 to 22 computations (26.7% saved)

bsearch38.0ms (0.5%)

Memory
-37.6MiB live, 83.1MiB allocated
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
10.0ms
0.3185865615623301
2.4539954917739055
22.0ms
-9387756.141699955
-5.621426804460949e-5
Samples
22.0ms256×0valid
Compiler

Compiled 256 to 191 computations (25.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 16.0ms
ival-mult: 5.0ms (30.5% of total)
ival-add: 4.0ms (24.4% of total)
const: 4.0ms (24.4% of total)
ival-sub: 3.0ms (18.3% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch2.0ms (0%)

Memory
5.8MiB live, 5.8MiB allocated
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
1.0ms
0.3185865615623301
2.4539954917739055
1.0ms
-9387756.141699955
-5.621426804460949e-5
Compiler

Compiled 256 to 191 computations (25.4% saved)

bsearch40.0ms (0.5%)

Memory
16.3MiB live, 98.2MiB allocated
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
18.0ms
3.4381855034681006e-5
44819.37561468723
19.0ms
-5036.987877692807
-5.218034121091751e-8
Samples
22.0ms304×0valid
Compiler

Compiled 282 to 224 computations (20.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 16.0ms
const: 7.0ms (44.4% of total)
ival-mult: 4.0ms (25.3% of total)
ival-sub: 3.0ms (19% of total)
ival-add: 1.0ms (6.3% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch35.0ms (0.5%)

Memory
3.5MiB live, 42.7MiB allocated
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
1.0ms
3.4381855034681006e-5
44819.37561468723
33.0ms
-5036.987877692807
-5.218034121091751e-8
Samples
27.0ms144×0valid
Compiler

Compiled 254 to 206 computations (18.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 6.0ms
ival-mult: 2.0ms (31.6% of total)
const: 2.0ms (31.6% of total)
ival-sub: 1.0ms (15.8% of total)
ival-add: 1.0ms (15.8% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch20.0ms (0.3%)

Memory
-4.9MiB live, 34.5MiB allocated
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
1.0ms
3.4381855034681006e-5
44819.37561468723
18.0ms
-5036.987877692807
-5.218034121091751e-8
Samples
12.0ms128×0valid
Compiler

Compiled 244 to 196 computations (19.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 10.0ms
ival-sub: 5.0ms (52.2% of total)
ival-mult: 2.0ms (20.9% of total)
const: 2.0ms (20.9% of total)
ival-add: 1.0ms (10.4% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch18.0ms (0.2%)

Memory
2.4MiB live, 40.0MiB allocated
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
1.0ms
3.4381855034681006e-5
44819.37561468723
15.0ms
-108527417704.19716
-49632670.89673862
Samples
11.0ms128×0valid
Compiler

Compiled 220 to 168 computations (23.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 8.0ms
ival-add: 3.0ms (38.5% of total)
ival-mult: 2.0ms (25.7% of total)
const: 2.0ms (25.7% of total)
ival-sub: 1.0ms (12.8% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch24.0ms (0.3%)

Memory
13.5MiB live, 56.0MiB allocated
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
8.0ms
0.3185865615623301
2.4539954917739055
14.0ms
-9387756.141699955
-5.621426804460949e-5
Samples
15.0ms192×0valid
Compiler

Compiled 160 to 143 computations (10.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 11.0ms
ival-add: 3.0ms (27.8% of total)
const: 3.0ms (27.8% of total)
ival-sub: 2.0ms (18.5% of total)
ival-mult: 2.0ms (18.5% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

simplify9.0ms (0.1%)

Memory
-16.8MiB live, 22.7MiB allocated
Algorithm
1×egg-herbie
Rules
14×+-commutative_binary64
12×sub-neg_binary64
10×*-commutative_binary64
4×neg-sub0_binary64
4×neg-mul-1_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
048142
164142
272142
375142
476142
Stop Event
1×saturated
Calls
Call 1
Inputs
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x))
(if (<=.f64 x #s(literal -6124895493223875/9007199254740992 binary64)) (fma.f64 y x (neg.f64 x)) (if (<=.f64 x #s(literal 3152519739159347/4503599627370496 binary64)) (fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64)) (fma.f64 y x (neg.f64 x))))
(if (<=.f64 x #s(literal -6124895493223875/9007199254740992 binary64)) (-.f64 (*.f64 y x) x) (if (<=.f64 x #s(literal 3152519739159347/4503599627370496 binary64)) (fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64)) (-.f64 (*.f64 y x) x)))
(if (<=.f64 y #s(literal -5764607523034235/4503599627370496 binary64)) (*.f64 y (+.f64 #s(literal -1/2 binary64) x)) (if (<=.f64 y #s(literal 1 binary64)) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) (*.f64 y (+.f64 #s(literal -1/2 binary64) x))))
(if (<=.f64 y #s(literal -5902958103587057/147573952589676412928 binary64)) (fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64)) (if (<=.f64 y #s(literal 1 binary64)) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) (*.f64 x y)))
(if (<=.f64 y #s(literal -51 binary64)) (*.f64 y #s(literal -1/2 binary64)) (if (<=.f64 y #s(literal 1 binary64)) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) (*.f64 x y)))
(if (<=.f64 y #s(literal -50000000 binary64)) (*.f64 x y) (if (<=.f64 y #s(literal 1 binary64)) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) (*.f64 x y)))
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)
(if (<=.f64 x #s(literal -8286623314361713/9007199254740992 binary64)) (neg.f64 x) (if (<=.f64 x #s(literal 8106479329266893/9007199254740992 binary64)) #s(literal 918938533204673/1000000000000000 binary64) (neg.f64 x)))
#s(literal 918938533204673/1000000000000000 binary64)
Outputs
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x))
(if (<=.f64 x #s(literal -6124895493223875/9007199254740992 binary64)) (fma.f64 y x (neg.f64 x)) (if (<=.f64 x #s(literal 3152519739159347/4503599627370496 binary64)) (fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64)) (fma.f64 y x (neg.f64 x))))
(if (<=.f64 x #s(literal -6124895493223875/9007199254740992 binary64)) (-.f64 (*.f64 y x) x) (if (<=.f64 x #s(literal 3152519739159347/4503599627370496 binary64)) (fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64)) (-.f64 (*.f64 y x) x)))
(if (<=.f64 y #s(literal -5764607523034235/4503599627370496 binary64)) (*.f64 y (+.f64 #s(literal -1/2 binary64) x)) (if (<=.f64 y #s(literal 1 binary64)) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) (*.f64 y (+.f64 #s(literal -1/2 binary64) x))))
(if (<=.f64 y #s(literal -5764607523034235/4503599627370496 binary64)) (*.f64 y (+.f64 x #s(literal -1/2 binary64))) (if (<=.f64 y #s(literal 1 binary64)) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) (*.f64 y (+.f64 x #s(literal -1/2 binary64)))))
(if (<=.f64 y #s(literal -5902958103587057/147573952589676412928 binary64)) (fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64)) (if (<=.f64 y #s(literal 1 binary64)) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) (*.f64 x y)))
(if (<=.f64 y #s(literal -5902958103587057/147573952589676412928 binary64)) (fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64)) (if (<=.f64 y #s(literal 1 binary64)) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) (*.f64 y x)))
(if (<=.f64 y #s(literal -51 binary64)) (*.f64 y #s(literal -1/2 binary64)) (if (<=.f64 y #s(literal 1 binary64)) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) (*.f64 x y)))
(if (<=.f64 y #s(literal -51 binary64)) (*.f64 y #s(literal -1/2 binary64)) (if (<=.f64 y #s(literal 1 binary64)) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) (*.f64 y x)))
(if (<=.f64 y #s(literal -50000000 binary64)) (*.f64 x y) (if (<=.f64 y #s(literal 1 binary64)) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) (*.f64 x y)))
(if (<=.f64 y #s(literal -50000000 binary64)) (*.f64 y x) (if (<=.f64 y #s(literal 1 binary64)) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) (*.f64 y x)))
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)
(if (<=.f64 x #s(literal -8286623314361713/9007199254740992 binary64)) (neg.f64 x) (if (<=.f64 x #s(literal 8106479329266893/9007199254740992 binary64)) #s(literal 918938533204673/1000000000000000 binary64) (neg.f64 x)))
#s(literal 918938533204673/1000000000000000 binary64)

soundness1.3s (18.1%)

Memory
-8.3MiB live, 646.8MiB allocated
Rules
11 900×lower-fma.f64
11 900×lower-fma.f32
8 060×lower-fma.f64
8 060×lower-fma.f32
4 510×lower-/.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01440
02540
112040
291840
0844340
0103808
1324808
2893785
32674785
45829785
57235785
08101739
076593
1232592
2695520
31796520
46373520
08167501
Stop Event
1×done
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
Compiler

Compiled 287 to 153 computations (46.7% saved)

preprocess95.0ms (1.3%)

Memory
-22.1MiB live, 175.7MiB allocated
Compiler

Compiled 314 to 114 computations (63.7% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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