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

Time bar (total: 8.1s)

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)

sample1.1s (13.6%)

Memory
6.2MiB live, 1 074.4MiB allocated
Samples
860.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 634.0ms
const: 301.0ms (47.5% of total)
ival-mult: 142.0ms (22.4% of total)
ival-sub: 123.0ms (19.4% of total)
ival-add: 50.0ms (7.9% of total)
exact: 8.0ms (1.3% of total)
ival-true: 6.0ms (0.9% of total)
ival-assert: 3.0ms (0.5% of total)
Bogosity

preprocess163.0ms (2%)

Memory
-12.0MiB live, 111.5MiB allocated
Algorithm
1×egg-herbie
Rules
1 376×accelerator-lowering-fma.f32
1 376×accelerator-lowering-fma.f64
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
12511
25311
31059
42079
54329
68319
712249
814649
914859
014858
Stop Event
1×iter limit
1×saturated
1×saturated
Calls
Call 1
Inputs
(+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000)
Outputs
(+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000)
(fma.f64 y (+.f64 x #s(literal -1/2 binary64)) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x))

explain210.0ms (2.6%)

Memory
-7.1MiB live, 200.6MiB 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
116.0ms512×0valid
Compiler

Compiled 102 to 44 computations (56.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 99.0ms
ival-mult: 82.0ms (82.5% of total)
const: 9.0ms (9% of total)
ival-sub: 5.0ms (5% of total)
ival-add: 2.0ms (2% of total)
exact: 1.0ms (1% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

eval0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Compiler

Compiled 2 to 2 computations (0% saved)

prune1.0ms (0%)

Memory
1.6MiB live, 1.6MiB 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)

simplify69.0ms (0.8%)

Memory
-3.5MiB live, 77.8MiB 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×accelerator-lowering-fma.f32
1 376×accelerator-lowering-fma.f64
352×+-lowering-+.f64
352×--lowering--.f32
352×+-lowering-+.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01036
12536
25336
310532
420732
543232
683132
7122432
8146432
9148532
0148531
Stop Event
1×iter limit
1×saturated
Calls
Call 1
Inputs
(+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000)
(- (* x (- y 1)) (* y 1/2))
(* x (- y 1))
x
(- y 1)
y
1
(* y 1/2)
1/2
918938533204673/1000000000000000
Outputs
(+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000)
(fma.f64 y (+.f64 x #s(literal -1/2 binary64)) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x))
(- (* x (- y 1)) (* y 1/2))
(fma.f64 y (+.f64 x #s(literal -1/2 binary64)) (neg.f64 x))
(* x (- y 1))
(-.f64 (*.f64 x y) x)
x
(- y 1)
(+.f64 y #s(literal -1 binary64))
y
1
#s(literal 1 binary64)
(* y 1/2)
(*.f64 y #s(literal 1/2 binary64))
1/2
#s(literal 1/2 binary64)
918938533204673/1000000000000000
#s(literal 918938533204673/1000000000000000 binary64)

localize51.0ms (0.6%)

Memory
-12.6MiB live, 65.4MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(-.f64 y #s(literal 1 binary64))
✓accuracy100.0%
(+.f64 (-.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 y #s(literal 1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64))
✓accuracy100.0%
(*.f64 y #s(literal 1/2 binary64))
✓accuracy100.0%
(*.f64 x (-.f64 y #s(literal 1 binary64)))
Samples
21.0ms256×0valid
Compiler

Compiled 38 to 12 computations (68.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 13.0ms
ival-sub: 4.0ms (31% of total)
const: 4.0ms (31% of total)
ival-mult: 3.0ms (23.3% of total)
ival-add: 1.0ms (7.8% 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
12.7MiB live, 12.7MiB allocated
Counts
5 → 96
Calls
Call 1
Inputs
#<alt (- (* x (- y 1)) (* y 1/2))>
#<alt (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000)>
#<alt (* x (- y 1))>
#<alt (- y 1)>
#<alt (* y 1/2)>
Outputs
#<alt (* -1/2 y)>
#<alt (- (* x (- y 1)) (* 1/2 y))>
#<alt (- (* x (- y 1)) (* 1/2 y))>
#<alt (- (* x (- y 1)) (* 1/2 y))>
#<alt (* x (- y 1))>
#<alt (* x (- (+ y (* -1/2 (/ y x))) 1))>
#<alt (* x (- (+ y (* -1/2 (/ y x))) 1))>
#<alt (* x (- (+ y (* -1/2 (/ y x))) 1))>
#<alt (* x (- y 1))>
#<alt (* -1 (* x (+ (* -1 (- y 1)) (* 1/2 (/ y x)))))>
#<alt (* -1 (* x (+ (* -1 (- y 1)) (* 1/2 (/ y x)))))>
#<alt (* -1 (* x (+ (* -1 (- y 1)) (* 1/2 (/ y x)))))>
#<alt (* -1 x)>
#<alt (+ (* -1 x) (* y (- x 1/2)))>
#<alt (+ (* -1 x) (* y (- x 1/2)))>
#<alt (+ (* -1 x) (* y (- x 1/2)))>
#<alt (* y (- x 1/2))>
#<alt (* y (- (+ x (* -1 (/ x y))) 1/2))>
#<alt (* y (- (+ x (* -1 (/ x y))) 1/2))>
#<alt (* y (- (+ x (* -1 (/ x y))) 1/2))>
#<alt (* -1 (* y (+ 1/2 (* -1 x))))>
#<alt (* -1 (* y (+ 1/2 (+ (* -1 x) (/ x y)))))>
#<alt (* -1 (* y (+ 1/2 (+ (* -1 x) (/ x y)))))>
#<alt (* -1 (* y (+ 1/2 (+ (* -1 x) (/ x y)))))>
#<alt (- 918938533204673/1000000000000000 (* 1/2 y))>
#<alt (- (+ 918938533204673/1000000000000000 (* x (- y 1))) (* 1/2 y))>
#<alt (- (+ 918938533204673/1000000000000000 (* x (- y 1))) (* 1/2 y))>
#<alt (- (+ 918938533204673/1000000000000000 (* x (- y 1))) (* 1/2 y))>
#<alt (* x (- y 1))>
#<alt (* x (- (+ y (* 918938533204673/1000000000000000 (/ 1 x))) (+ 1 (* 1/2 (/ y x)))))>
#<alt (* x (- (+ y (* 918938533204673/1000000000000000 (/ 1 x))) (+ 1 (* 1/2 (/ y x)))))>
#<alt (* x (- (+ y (* 918938533204673/1000000000000000 (/ 1 x))) (+ 1 (* 1/2 (/ y x)))))>
#<alt (* x (- y 1))>
#<alt (* -1 (* x (+ (* -1 (- y 1)) (* -1 (/ (- 918938533204673/1000000000000000 (* 1/2 y)) x)))))>
#<alt (* -1 (* x (+ (* -1 (- y 1)) (* -1 (/ (- 918938533204673/1000000000000000 (* 1/2 y)) x)))))>
#<alt (* -1 (* x (+ (* -1 (- y 1)) (* -1 (/ (- 918938533204673/1000000000000000 (* 1/2 y)) x)))))>
#<alt (+ 918938533204673/1000000000000000 (* -1 x))>
#<alt (+ 918938533204673/1000000000000000 (+ (* -1 x) (* y (- x 1/2))))>
#<alt (+ 918938533204673/1000000000000000 (+ (* -1 x) (* y (- x 1/2))))>
#<alt (+ 918938533204673/1000000000000000 (+ (* -1 x) (* y (- x 1/2))))>
#<alt (* y (- x 1/2))>
#<alt (* y (- (+ x (+ (* -1 (/ x y)) (* 918938533204673/1000000000000000 (/ 1 y)))) 1/2))>
#<alt (* y (- (+ x (+ (* -1 (/ x y)) (* 918938533204673/1000000000000000 (/ 1 y)))) 1/2))>
#<alt (* y (- (+ x (+ (* -1 (/ x y)) (* 918938533204673/1000000000000000 (/ 1 y)))) 1/2))>
#<alt (* -1 (* y (+ 1/2 (* -1 x))))>
#<alt (* -1 (* y (+ 1/2 (+ (* -1 x) (* -1 (/ (+ 918938533204673/1000000000000000 (* -1 x)) y))))))>
#<alt (* -1 (* y (+ 1/2 (+ (* -1 x) (* -1 (/ (+ 918938533204673/1000000000000000 (* -1 x)) y))))))>
#<alt (* -1 (* y (+ 1/2 (+ (* -1 x) (* -1 (/ (+ 918938533204673/1000000000000000 (* -1 x)) y))))))>
#<alt (* x (- y 1))>
#<alt (* x (- y 1))>
#<alt (* x (- y 1))>
#<alt (* x (- y 1))>
#<alt (* x (- y 1))>
#<alt (* x (- y 1))>
#<alt (* x (- y 1))>
#<alt (* x (- y 1))>
#<alt (* x (- y 1))>
#<alt (* x (- y 1))>
#<alt (* x (- y 1))>
#<alt (* x (- y 1))>
#<alt (* -1 x)>
#<alt (+ (* -1 x) (* x y))>
#<alt (+ (* -1 x) (* x y))>
#<alt (+ (* -1 x) (* x y))>
#<alt (* x y)>
#<alt (* y (+ x (* -1 (/ x y))))>
#<alt (* y (+ x (* -1 (/ x y))))>
#<alt (* y (+ x (* -1 (/ x y))))>
#<alt (* x y)>
#<alt (* -1 (* y (+ (* -1 x) (/ x y))))>
#<alt (* -1 (* y (+ (* -1 x) (/ x y))))>
#<alt (* -1 (* y (+ (* -1 x) (/ x y))))>
#<alt -1>
#<alt (- y 1)>
#<alt (- y 1)>
#<alt (- y 1)>
#<alt y>
#<alt (* y (- 1 (/ 1 y)))>
#<alt (* y (- 1 (/ 1 y)))>
#<alt (* y (- 1 (/ 1 y)))>
#<alt y>
#<alt (* -1 (* y (- (/ 1 y) 1)))>
#<alt (* -1 (* y (- (/ 1 y) 1)))>
#<alt (* -1 (* y (- (/ 1 y) 1)))>
#<alt (* 1/2 y)>
#<alt (* 1/2 y)>
#<alt (* 1/2 y)>
#<alt (* 1/2 y)>
#<alt (* 1/2 y)>
#<alt (* 1/2 y)>
#<alt (* 1/2 y)>
#<alt (* 1/2 y)>
#<alt (* 1/2 y)>
#<alt (* 1/2 y)>
#<alt (* 1/2 y)>
#<alt (* 1/2 y)>
Calls

24 calls:

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

rewrite513.0ms (6.3%)

Memory
-9.7MiB live, 396.4MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
7 498×accelerator-lowering-fma.f32
7 498×accelerator-lowering-fma.f64
4 788×*-lowering-*.f32
4 788×*-lowering-*.f64
3 354×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01031
16431
251531
3771631
0824528
Stop Event
1×iter limit
1×node limit
Counts
5 → 384
Calls
Call 1
Inputs
(- (* x (- y 1)) (* y 1/2))
(+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000)
(* x (- y 1))
(- y 1)
(* y 1/2)
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 x (*.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 x x))))) (fma.f64 (*.f64 y #s(literal 1/2 binary64)) (fma.f64 x (+.f64 y #s(literal -1 binary64)) (*.f64 y #s(literal 1/2 binary64))) (*.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 x x))))) (neg.f64 (/.f64 (*.f64 y (*.f64 (*.f64 y y) #s(literal 1/8 binary64))) (fma.f64 (*.f64 y #s(literal 1/2 binary64)) (fma.f64 x (+.f64 y #s(literal -1 binary64)) (*.f64 y #s(literal 1/2 binary64))) (*.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 x x)))))))
(+.f64 (/.f64 (*.f64 (+.f64 y #s(literal -1 binary64)) (*.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))))))
(+.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 x (*.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 x x))))) (fma.f64 (*.f64 y #s(literal 1/2 binary64)) (fma.f64 x (+.f64 y #s(literal -1 binary64)) (*.f64 y #s(literal 1/2 binary64))) (*.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 x x))))) (/.f64 (*.f64 y (*.f64 (*.f64 y y) #s(literal 1/8 binary64))) (fma.f64 (*.f64 y #s(literal 1/2 binary64)) (fma.f64 x (+.f64 y #s(literal -1 binary64)) (*.f64 y #s(literal 1/2 binary64))) (*.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 x x))))))
(-.f64 (/.f64 (*.f64 (+.f64 y #s(literal -1 binary64)) (*.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)))) (/.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 (+.f64 y #s(literal -1 binary64)) (*.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 x x))) (fma.f64 (*.f64 y #s(literal 1/2 binary64)) (fma.f64 x (+.f64 y #s(literal -1 binary64)) (*.f64 y #s(literal 1/2 binary64))) (*.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 x x))))) (neg.f64 (/.f64 (*.f64 y (*.f64 (*.f64 y y) #s(literal 1/8 binary64))) (fma.f64 (*.f64 y #s(literal 1/2 binary64)) (fma.f64 x (+.f64 y #s(literal -1 binary64)) (*.f64 y #s(literal 1/2 binary64))) (*.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 x x)))))))
(fma.f64 #s(literal 1/2 binary64) (neg.f64 y) (fma.f64 x y (neg.f64 x)))
(fma.f64 (*.f64 y #s(literal 1/2 binary64)) #s(literal -1 binary64) (fma.f64 x y (neg.f64 x)))
(fma.f64 (fma.f64 y (*.f64 y y) #s(literal -1 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 y (fma.f64 y y #s(literal 1 binary64)))) x) (*.f64 y #s(literal -1/2 binary64)))
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(fma.f64 (*.f64 x (*.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 x x))))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y #s(literal 1/2 binary64)) (fma.f64 x (+.f64 y #s(literal -1 binary64)) (*.f64 y #s(literal 1/2 binary64))) (*.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 x x))))) (neg.f64 (/.f64 (*.f64 y (*.f64 (*.f64 y y) #s(literal 1/8 binary64))) (fma.f64 (*.f64 y #s(literal 1/2 binary64)) (fma.f64 x (+.f64 y #s(literal -1 binary64)) (*.f64 y #s(literal 1/2 binary64))) (*.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 x x)))))))
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(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (-.f64 #s(literal -1 binary64) y))
(/.f64 (fma.f64 (*.f64 y y) (*.f64 y y) #s(literal -1 binary64)) (*.f64 (+.f64 y #s(literal 1 binary64)) (fma.f64 y y #s(literal 1 binary64))))
(/.f64 (-.f64 (*.f64 (*.f64 y (*.f64 y y)) (+.f64 y (fma.f64 y y #s(literal 1 binary64)))) (*.f64 (+.f64 y (fma.f64 y y #s(literal 1 binary64))) #s(literal 1 binary64))) (*.f64 (+.f64 y (fma.f64 y y #s(literal 1 binary64))) (+.f64 y (fma.f64 y y #s(literal 1 binary64)))))
(/.f64 (-.f64 (*.f64 y (*.f64 y (+.f64 y #s(literal 1 binary64)))) (+.f64 y #s(literal 1 binary64))) (*.f64 (+.f64 y #s(literal 1 binary64)) (+.f64 y #s(literal 1 binary64))))
(/.f64 (*.f64 (fma.f64 y y #s(literal -1 binary64)) #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 (*.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 (*.f64 y (*.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 (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 (*.f64 y (*.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 y (*.f64 (*.f64 y y) (*.f64 y (*.f64 y y))) (*.f64 (+.f64 y #s(literal 1 binary64)) (*.f64 (+.f64 y #s(literal 1 binary64)) (+.f64 y #s(literal 1 binary64)))))) (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))

simplify458.0ms (5.6%)

Memory
6.3MiB live, 282.5MiB allocated
Algorithm
1×egg-herbie
Rules
11 900×accelerator-lowering-fma.f32
11 900×accelerator-lowering-fma.f64
3 162×*-lowering-*.f32
3 162×*-lowering-*.f64
1 298×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
076593
1232592
2695520
31796520
46373520
08167501
Stop Event
1×iter limit
1×node limit
Counts
96 → 96
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))

eval70.0ms (0.9%)

Memory
-3.3MiB live, 113.4MiB allocated
Compiler

Compiled 15 526 to 1 358 computations (91.3% saved)

prune63.0ms (0.8%)

Memory
23.0MiB live, 105.4MiB allocated
Pruning

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New4737480
Fresh000
Picked101
Done000
Total4747481
Accuracy
100.0%
Counts
481 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(fma.f64 (+.f64 y #s(literal -1 binary64)) x (fma.f64 y #s(literal -1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64)))
▶52.4%
(fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64))
▶47.8%
(-.f64 (*.f64 y x) x)
▶100.0%
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x))
▶46.5%
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)
70.6%
(+.f64 (-.f64 (*.f64 y x) x) #s(literal 918938533204673/1000000000000000 binary64))
▶55.6%
(*.f64 y (+.f64 #s(literal -1/2 binary64) x))
Compiler

Compiled 110 to 78 computations (29.1% saved)

simplify105.0ms (1.3%)

Memory
-15.2MiB live, 61.0MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 9 expressions of interest:

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

Useful iterations: 0 (0.0ms)

IterNodesCost
01657
13457
26357
315757
439757
591857
6134657
7157457
8163257
9163957
0163954
Stop Event
1×iter limit
1×saturated
Calls
Call 1
Inputs
(- 918938533204673/1000000000000000 (+ (* y (- 1/2 x)) x))
918938533204673/1000000000000000
(+ (* y (- 1/2 x)) x)
y
(- 1/2 x)
1/2
x
(- 918938533204673/1000000000000000 x)
918938533204673/1000000000000000
x
(+ (* -1/2 y) 918938533204673/1000000000000000)
-1/2
y
918938533204673/1000000000000000
(* y (+ -1/2 x))
y
(+ -1/2 x)
-1/2
x
(- (* y x) x)
(* y x)
y
x
Outputs
(- 918938533204673/1000000000000000 (+ (* y (- 1/2 x)) x))
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x))
918938533204673/1000000000000000
#s(literal 918938533204673/1000000000000000 binary64)
(+ (* y (- 1/2 x)) x)
(fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x)
y
(- 1/2 x)
(-.f64 #s(literal 1/2 binary64) x)
1/2
#s(literal 1/2 binary64)
x
(- 918938533204673/1000000000000000 x)
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)
918938533204673/1000000000000000
#s(literal 918938533204673/1000000000000000 binary64)
x
(+ (* -1/2 y) 918938533204673/1000000000000000)
(fma.f64 y #s(literal -1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64))
-1/2
#s(literal -1/2 binary64)
y
918938533204673/1000000000000000
#s(literal 918938533204673/1000000000000000 binary64)
(* y (+ -1/2 x))
(*.f64 y (+.f64 x #s(literal -1/2 binary64)))
y
(+ -1/2 x)
(+.f64 x #s(literal -1/2 binary64))
-1/2
#s(literal -1/2 binary64)
x
(- (* y x) x)
(-.f64 (*.f64 y x) x)
(* y x)
(*.f64 y x)
y
x

localize74.0ms (0.9%)

Memory
-12.8MiB live, 74.8MiB allocated
Localize:

Found 9 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(*.f64 y x)
✓accuracy100.0%
(-.f64 (*.f64 y x) x)
✓accuracy100.0%
(+.f64 #s(literal -1/2 binary64) x)
✓accuracy100.0%
(*.f64 y (+.f64 #s(literal -1/2 binary64) x))
✓accuracy100.0%
(fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64))
✓accuracy100.0%
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)
✓accuracy100.0%
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x))
✓accuracy100.0%
(-.f64 #s(literal 1/2 binary64) x)
✓accuracy100.0%
(fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x)
Samples
31.0ms256×0valid
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)
ival-sub: 5.0ms (26.1% of total)
const: 5.0ms (26.1% 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
7.0MiB live, 7.0MiB allocated
Counts
9 → 168
Calls
Call 1
Inputs
#<alt (- 918938533204673/1000000000000000 (+ (* y (- 1/2 x)) x))>
#<alt (+ (* y (- 1/2 x)) x)>
#<alt (- 1/2 x)>
#<alt (- 918938533204673/1000000000000000 x)>
#<alt (+ (* -1/2 y) 918938533204673/1000000000000000)>
#<alt (* y (+ -1/2 x))>
#<alt (+ -1/2 x)>
#<alt (- (* y x) x)>
#<alt (* 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))

rewrite415.0ms (5.1%)

Memory
2.8MiB live, 433.5MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
4 510×/-lowering-/.f32
4 510×/-lowering-/.f64
4 348×*-lowering-*.f32
4 348×*-lowering-*.f64
4 270×accelerator-lowering-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01643
111143
290943
0843040
Stop Event
1×iter limit
1×node limit
Counts
9 → 419
Calls
Call 1
Inputs
(- 918938533204673/1000000000000000 (+ (* y (- 1/2 x)) x))
(+ (* y (- 1/2 x)) x)
(- 1/2 x)
(- 918938533204673/1000000000000000 x)
(+ (* -1/2 y) 918938533204673/1000000000000000)
(* y (+ -1/2 x))
(+ -1/2 x)
(- (* y x) x)
(* y x)
Outputs
(+.f64 #s(literal 918938533204673/1000000000000000 binary64) (-.f64 (*.f64 y (+.f64 x #s(literal -1/2 binary64))) x))
(+.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) (*.f64 y (+.f64 x #s(literal -1/2 binary64))))
(+.f64 (-.f64 (*.f64 y (+.f64 x #s(literal -1/2 binary64))) x) #s(literal 918938533204673/1000000000000000 binary64))
(+.f64 (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 y (+.f64 x #s(literal -1/2 binary64)))) (neg.f64 x))
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(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 (fma.f64 (*.f64 y x) (*.f64 y (*.f64 y (*.f64 x x))) (neg.f64 (*.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 (fma.f64 (*.f64 y x) (*.f64 y (*.f64 y (*.f64 x x))) (neg.f64 (*.f64 x (*.f64 x x))))) (fma.f64 y (*.f64 y (*.f64 x x)) (*.f64 x (fma.f64 y x x)))))
(neg.f64 (/.f64 (neg.f64 (*.f64 (-.f64 (*.f64 y x) x) (fma.f64 y x x))) (fma.f64 y x x)))
(/.f64 (fma.f64 (*.f64 y x) (*.f64 y (*.f64 y (*.f64 x x))) (neg.f64 (*.f64 x (*.f64 x x)))) (fma.f64 y (*.f64 y (*.f64 x x)) (*.f64 x (fma.f64 y x x))))
(/.f64 (fma.f64 (*.f64 y x) (*.f64 y (*.f64 y (*.f64 x x))) (neg.f64 (*.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 (fma.f64 (*.f64 y x) (*.f64 y (*.f64 y (*.f64 x x))) (neg.f64 (*.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 (fma.f64 (*.f64 y x) (*.f64 y (*.f64 y (*.f64 x x))) (neg.f64 (*.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 (neg.f64 (*.f64 (-.f64 (*.f64 y x) x) (fma.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))))) (fma.f64 (*.f64 y x) (*.f64 y (*.f64 y (*.f64 x x))) (neg.f64 (*.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 (fma.f64 (*.f64 (*.f64 y x) (*.f64 y (*.f64 y (*.f64 x x)))) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y)))) (neg.f64 (*.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))) (fma.f64 (*.f64 y x) (*.f64 y (*.f64 y (*.f64 x x))) (neg.f64 (*.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))) (fma.f64 (*.f64 y x) (*.f64 y (*.f64 y (*.f64 x x))) (neg.f64 (*.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 (fma.f64 (*.f64 y x) (*.f64 y (*.f64 y (*.f64 x x))) (neg.f64 (*.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 (neg.f64 (*.f64 (-.f64 (*.f64 y x) x) (fma.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 (fma.f64 (*.f64 y x) (*.f64 y (*.f64 y (*.f64 x x))) (neg.f64 (*.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 (fma.f64 (*.f64 y x) (*.f64 y (*.f64 y (*.f64 x x))) (neg.f64 (*.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 (fma.f64 (*.f64 y x) (*.f64 y (*.f64 y (*.f64 x x))) (neg.f64 (*.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 (neg.f64 (*.f64 (-.f64 (*.f64 y x) x) (fma.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)

simplify365.0ms (4.5%)

Memory
-0.6MiB live, 364.1MiB allocated
Algorithm
1×egg-herbie
Rules
8 060×accelerator-lowering-fma.f32
8 060×accelerator-lowering-fma.f64
2 208×*-lowering-*.f32
2 208×*-lowering-*.f64
1 122×--lowering--.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0103808
1324808
2893785
32674785
45829785
57235785
08101739
Stop Event
1×iter limit
1×node limit
Counts
168 → 168
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)

eval118.0ms (1.5%)

Memory
14.3MiB live, 128.1MiB allocated
Compiler

Compiled 12 845 to 1 357 computations (89.4% saved)

prune109.0ms (1.3%)

Memory
4.3MiB live, 124.3MiB allocated
Pruning

12 alts after pruning (8 fresh and 4 done)

PrunedKeptTotal
New5798587
Fresh202
Picked145
Done000
Total58212594
Accuracy
100.0%
Counts
594 → 12
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶55.6%
(fma.f64 y x (*.f64 y #s(literal -1/2 binary64)))
▶47.8%
(fma.f64 y x (neg.f64 x))
✓52.4%
(fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64))
✓100.0%
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x))
70.6%
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y (neg.f64 x) x))
▶74.8%
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y #s(literal 1/2 binary64) x))
✓46.5%
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)
✓55.6%
(*.f64 y (+.f64 #s(literal -1/2 binary64) x))
26.5%
(*.f64 y x)
▶30.8%
(*.f64 y #s(literal -1/2 binary64))
23.6%
(neg.f64 x)
▶24.0%
#s(literal 918938533204673/1000000000000000 binary64)
Compiler

Compiled 126 to 89 computations (29.4% saved)

simplify41.0ms (0.5%)

Memory
5.0MiB live, 44.2MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 7 expressions of interest:

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

Useful iterations: 0 (0.0ms)

IterNodesCost
01342
13042
25842
310742
421342
536142
664042
781642
883542
083540
Stop Event
1×iter limit
1×saturated
Calls
Call 1
Inputs
(- 918938533204673/1000000000000000 (+ (* y 1/2) x))
918938533204673/1000000000000000
(+ (* y 1/2) x)
y
1/2
x
918938533204673/1000000000000000
(* y -1/2)
y
-1/2
(+ (* y x) (neg x))
y
x
(neg x)
(+ (* y x) (* y -1/2))
y
x
(* y -1/2)
-1/2
Outputs
(- 918938533204673/1000000000000000 (+ (* y 1/2) x))
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y #s(literal 1/2 binary64) x))
918938533204673/1000000000000000
#s(literal 918938533204673/1000000000000000 binary64)
(+ (* y 1/2) x)
(fma.f64 y #s(literal 1/2 binary64) x)
y
1/2
#s(literal 1/2 binary64)
x
918938533204673/1000000000000000
#s(literal 918938533204673/1000000000000000 binary64)
(* y -1/2)
(*.f64 y #s(literal -1/2 binary64))
y
-1/2
#s(literal -1/2 binary64)
(+ (* y x) (neg x))
(-.f64 (*.f64 y x) x)
y
x
(neg x)
(neg.f64 x)
(+ (* y x) (* y -1/2))
(*.f64 y (+.f64 x #s(literal -1/2 binary64)))
y
x
(* y -1/2)
(*.f64 y #s(literal -1/2 binary64))
-1/2
#s(literal -1/2 binary64)

localize105.0ms (1.3%)

Memory
-9.4MiB live, 71.2MiB allocated
Localize:

Found 7 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(fma.f64 y x (*.f64 y #s(literal -1/2 binary64)))
✓accuracy100.0%
(*.f64 y #s(literal -1/2 binary64))
✓accuracy100.0%
(fma.f64 y x (neg.f64 x))
✓accuracy100.0%
(neg.f64 x)
✓accuracy100.0%
(*.f64 y #s(literal -1/2 binary64))
✓accuracy100.0%
(fma.f64 y #s(literal 1/2 binary64) x)
✓accuracy100.0%
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y #s(literal 1/2 binary64) x))
Samples
69.0ms256×0valid
Compiler

Compiled 43 to 15 computations (65.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 56.0ms
const: 45.0ms (79.8% of total)
ival-mult: 5.0ms (8.9% of total)
ival-add: 3.0ms (5.3% of total)
ival-sub: 1.0ms (1.8% of total)
ival-neg: 1.0ms (1.8% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series3.0ms (0%)

Memory
5.4MiB live, 5.4MiB allocated
Counts
6 → 120
Calls
Call 1
Inputs
#<alt (- 918938533204673/1000000000000000 (+ (* y 1/2) x))>
#<alt (+ (* y 1/2) x)>
#<alt (* y -1/2)>
#<alt (+ (* y x) (neg x))>
#<alt (neg x)>
#<alt (+ (* y x) (* y -1/2))>
Outputs
#<alt (- 918938533204673/1000000000000000 x)>
#<alt (- (+ 918938533204673/1000000000000000 (* -1/2 y)) x)>
#<alt (- (+ 918938533204673/1000000000000000 (* -1/2 y)) x)>
#<alt (- (+ 918938533204673/1000000000000000 (* -1/2 y)) x)>
#<alt (* -1/2 y)>
#<alt (* y (- (* 918938533204673/1000000000000000 (/ 1 y)) (+ 1/2 (/ x y))))>
#<alt (* y (- (* 918938533204673/1000000000000000 (/ 1 y)) (+ 1/2 (/ x y))))>
#<alt (* y (- (* 918938533204673/1000000000000000 (/ 1 y)) (+ 1/2 (/ x y))))>
#<alt (* -1/2 y)>
#<alt (* -1 (* y (+ 1/2 (* -1 (/ (- 918938533204673/1000000000000000 x) y)))))>
#<alt (* -1 (* y (+ 1/2 (* -1 (/ (- 918938533204673/1000000000000000 x) y)))))>
#<alt (* -1 (* y (+ 1/2 (* -1 (/ (- 918938533204673/1000000000000000 x) y)))))>
#<alt (- 918938533204673/1000000000000000 (* 1/2 y))>
#<alt (- (+ 918938533204673/1000000000000000 (* -1 x)) (* 1/2 y))>
#<alt (- (+ 918938533204673/1000000000000000 (* -1 x)) (* 1/2 y))>
#<alt (- (+ 918938533204673/1000000000000000 (* -1 x)) (* 1/2 y))>
#<alt (* -1 x)>
#<alt (* x (- (* 918938533204673/1000000000000000 (/ 1 x)) (+ 1 (* 1/2 (/ y x)))))>
#<alt (* x (- (* 918938533204673/1000000000000000 (/ 1 x)) (+ 1 (* 1/2 (/ y x)))))>
#<alt (* x (- (* 918938533204673/1000000000000000 (/ 1 x)) (+ 1 (* 1/2 (/ y x)))))>
#<alt (* -1 x)>
#<alt (* -1 (* x (+ 1 (* -1 (/ (- 918938533204673/1000000000000000 (* 1/2 y)) x)))))>
#<alt (* -1 (* x (+ 1 (* -1 (/ (- 918938533204673/1000000000000000 (* 1/2 y)) x)))))>
#<alt (* -1 (* x (+ 1 (* -1 (/ (- 918938533204673/1000000000000000 (* 1/2 y)) x)))))>
#<alt x>
#<alt (+ x (* 1/2 y))>
#<alt (+ x (* 1/2 y))>
#<alt (+ x (* 1/2 y))>
#<alt (* 1/2 y)>
#<alt (* y (+ 1/2 (/ x y)))>
#<alt (* y (+ 1/2 (/ x y)))>
#<alt (* y (+ 1/2 (/ x y)))>
#<alt (* 1/2 y)>
#<alt (* -1 (* y (- (* -1 (/ x y)) 1/2)))>
#<alt (* -1 (* y (- (* -1 (/ x y)) 1/2)))>
#<alt (* -1 (* y (- (* -1 (/ x y)) 1/2)))>
#<alt (* 1/2 y)>
#<alt (+ x (* 1/2 y))>
#<alt (+ x (* 1/2 y))>
#<alt (+ x (* 1/2 y))>
#<alt x>
#<alt (* x (+ 1 (* 1/2 (/ y x))))>
#<alt (* x (+ 1 (* 1/2 (/ y x))))>
#<alt (* x (+ 1 (* 1/2 (/ y x))))>
#<alt x>
#<alt (* -1 (* x (- (* -1/2 (/ y x)) 1)))>
#<alt (* -1 (* x (- (* -1/2 (/ y x)) 1)))>
#<alt (* -1 (* x (- (* -1/2 (/ y x)) 1)))>
#<alt (* -1/2 y)>
#<alt (* -1/2 y)>
#<alt (* -1/2 y)>
#<alt (* -1/2 y)>
#<alt (* -1/2 y)>
#<alt (* -1/2 y)>
#<alt (* -1/2 y)>
#<alt (* -1/2 y)>
#<alt (* -1/2 y)>
#<alt (* -1/2 y)>
#<alt (* -1/2 y)>
#<alt (* -1/2 y)>
#<alt (* -1 x)>
#<alt (- (* x y) x)>
#<alt (- (* x y) x)>
#<alt (- (* x y) x)>
#<alt (* x y)>
#<alt (* y (+ x (* -1 (/ x y))))>
#<alt (* y (+ x (* -1 (/ x y))))>
#<alt (* y (+ x (* -1 (/ x y))))>
#<alt (* x y)>
#<alt (* -1 (* y (+ (* -1 x) (/ x y))))>
#<alt (* -1 (* y (+ (* -1 x) (/ x y))))>
#<alt (* -1 (* y (+ (* -1 x) (/ x y))))>
#<alt (* x (- y 1))>
#<alt (* x (- y 1))>
#<alt (* x (- y 1))>
#<alt (* x (- y 1))>
#<alt (* x (- y 1))>
#<alt (* x (- y 1))>
#<alt (* x (- y 1))>
#<alt (* x (- y 1))>
#<alt (* -1 (* x (+ 1 (* -1 y))))>
#<alt (* -1 (* x (+ 1 (* -1 y))))>
#<alt (* -1 (* x (+ 1 (* -1 y))))>
#<alt (* -1 (* x (+ 1 (* -1 y))))>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* y (- x 1/2))>
#<alt (* y (- x 1/2))>
#<alt (* y (- x 1/2))>
#<alt (* y (- x 1/2))>
#<alt (* y (- x 1/2))>
#<alt (* y (- x 1/2))>
#<alt (* y (- x 1/2))>
#<alt (* y (- x 1/2))>
#<alt (* -1 (* y (+ 1/2 (* -1 x))))>
#<alt (* -1 (* y (+ 1/2 (* -1 x))))>
#<alt (* -1 (* y (+ 1/2 (* -1 x))))>
#<alt (* -1 (* y (+ 1/2 (* -1 x))))>
#<alt (* -1/2 y)>
#<alt (+ (* -1/2 y) (* x y))>
#<alt (+ (* -1/2 y) (* x y))>
#<alt (+ (* -1/2 y) (* x y))>
#<alt (* x y)>
#<alt (* x (+ y (* -1/2 (/ y x))))>
#<alt (* x (+ y (* -1/2 (/ y x))))>
#<alt (* x (+ y (* -1/2 (/ y x))))>
#<alt (* x y)>
#<alt (* -1 (* x (+ (* -1 y) (* 1/2 (/ y x)))))>
#<alt (* -1 (* x (+ (* -1 y) (* 1/2 (/ y x)))))>
#<alt (* -1 (* x (+ (* -1 y) (* 1/2 (/ y x)))))>
Calls

30 calls:

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

rewrite295.0ms (3.6%)

Memory
-0.8MiB live, 550.2MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
7 528×accelerator-lowering-fma.f32
7 528×accelerator-lowering-fma.f64
4 038×*-lowering-*.f32
4 038×*-lowering-*.f64
2 494×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01327
17927
271726
0994123
Stop Event
1×iter limit
1×node limit
Counts
6 → 368
Calls
Call 1
Inputs
(- 918938533204673/1000000000000000 (+ (* y 1/2) x))
(+ (* y 1/2) x)
(* y -1/2)
(+ (* y x) (neg x))
(neg x)
(+ (* y x) (* y -1/2))
Outputs
(+.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y #s(literal 1/2 binary64) x))
(+.f64 (*.f64 y #s(literal 1/2 binary64)) (+.f64 x #s(literal 918938533204673/1000000000000000 binary64)))
(+.f64 x (fma.f64 y #s(literal 1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64)))
(+.f64 x (fma.f64 y #s(literal -1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64)))
(+.f64 (fma.f64 y #s(literal 1/2 binary64) x) #s(literal 918938533204673/1000000000000000 binary64))
(+.f64 (*.f64 y #s(literal -1/2 binary64)) (+.f64 x #s(literal 918938533204673/1000000000000000 binary64)))
(+.f64 (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 y #s(literal -1/2 binary64))) x)
(+.f64 (/.f64 #s(literal 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 binary64) (fma.f64 (fma.f64 y #s(literal 1/2 binary64) x) (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y #s(literal 1/2 binary64) x)) #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64))) (neg.f64 (/.f64 (*.f64 (fma.f64 y #s(literal 1/2 binary64) x) (fma.f64 y (*.f64 y #s(literal 1/4 binary64)) (*.f64 x x))) (fma.f64 (fma.f64 y #s(literal 1/2 binary64) x) (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y #s(literal 1/2 binary64) x)) #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64)))))
(+.f64 (/.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y #s(literal 1/2 binary64) x))) (neg.f64 (/.f64 (fma.f64 y (*.f64 y #s(literal 1/4 binary64)) (*.f64 x x)) (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y #s(literal 1/2 binary64) x)))))
(+.f64 (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 y #s(literal 1/2 binary64))) x)
(+.f64 (+.f64 #s(literal 918938533204673/1000000000000000 binary64) x) (*.f64 y #s(literal 1/2 binary64)))
(+.f64 (+.f64 #s(literal 918938533204673/1000000000000000 binary64) x) (*.f64 y #s(literal -1/2 binary64)))
(+.f64 (+.f64 (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 y #s(literal -1/2 binary64))) #s(literal 0 binary64)) x)
(+.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) (/.f64 (*.f64 y (*.f64 y #s(literal 1/4 binary64))) (fma.f64 y #s(literal 1/2 binary64) x))) (/.f64 (*.f64 x x) (fma.f64 y #s(literal 1/2 binary64) x)))
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y #s(literal 1/2 binary64) x))
(-.f64 #s(literal 0 binary64) (-.f64 (fma.f64 y #s(literal 1/2 binary64) x) #s(literal 918938533204673/1000000000000000 binary64)))
(-.f64 (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 y #s(literal -1/2 binary64))) x)
(-.f64 (/.f64 (*.f64 y (*.f64 y #s(literal 1/4 binary64))) (fma.f64 y #s(literal 1/2 binary64) x)) (-.f64 (/.f64 (*.f64 x x) (fma.f64 y #s(literal 1/2 binary64) x)) #s(literal 918938533204673/1000000000000000 binary64)))
(-.f64 (/.f64 #s(literal 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 binary64) (fma.f64 (fma.f64 y #s(literal 1/2 binary64) x) (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y #s(literal 1/2 binary64) x)) #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64))) (/.f64 (*.f64 (fma.f64 y #s(literal 1/2 binary64) x) (fma.f64 y (*.f64 y #s(literal 1/4 binary64)) (*.f64 x x))) (fma.f64 (fma.f64 y #s(literal 1/2 binary64) x) (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y #s(literal 1/2 binary64) x)) #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64))))
(-.f64 (/.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y #s(literal 1/2 binary64) x))) (/.f64 (fma.f64 y (*.f64 y #s(literal 1/4 binary64)) (*.f64 x x)) (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y #s(literal 1/2 binary64) x))))
(-.f64 (+.f64 #s(literal 918938533204673/1000000000000000 binary64) x) (*.f64 y #s(literal 1/2 binary64)))
(-.f64 (+.f64 #s(literal 918938533204673/1000000000000000 binary64) x) (*.f64 y #s(literal -1/2 binary64)))
(-.f64 (/.f64 (*.f64 (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 y #s(literal -1/2 binary64))) (*.f64 (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 y #s(literal -1/2 binary64))) (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 y #s(literal -1/2 binary64))))) (fma.f64 (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y #s(literal 1/2 binary64) x)) (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y #s(literal 1/2 binary64) x)) (*.f64 (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 y #s(literal -1/2 binary64))) x))) (/.f64 (*.f64 x (*.f64 x x)) (fma.f64 (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y #s(literal 1/2 binary64) x)) (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y #s(literal 1/2 binary64) x)) (*.f64 (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 y #s(literal -1/2 binary64))) x))))
(-.f64 (/.f64 (*.f64 (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 y #s(literal -1/2 binary64))) (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 y #s(literal -1/2 binary64)))) (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y #s(literal 1/2 binary64) x))) (/.f64 (*.f64 x x) (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y #s(literal 1/2 binary64) x))))
(-.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 y #s(literal -1/2 binary64))) x)
(-.f64 (+.f64 (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 y #s(literal -1/2 binary64))) #s(literal 0 binary64)) x)
(-.f64 (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (/.f64 (*.f64 y (*.f64 y #s(literal 1/4 binary64))) (fma.f64 y #s(literal 1/2 binary64) x))) (/.f64 (*.f64 x x) (fma.f64 y #s(literal 1/2 binary64) x)))
(fma.f64 y #s(literal 1/2 binary64) (+.f64 x #s(literal 918938533204673/1000000000000000 binary64)))
(fma.f64 y #s(literal -1/2 binary64) (+.f64 x #s(literal 918938533204673/1000000000000000 binary64)))
(fma.f64 #s(literal 1/2 binary64) y (+.f64 x #s(literal 918938533204673/1000000000000000 binary64)))
(fma.f64 #s(literal 1/2 binary64) (neg.f64 y) (+.f64 x #s(literal 918938533204673/1000000000000000 binary64)))
(fma.f64 x #s(literal -1 binary64) (fma.f64 y #s(literal 1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64)))
(fma.f64 x #s(literal -1 binary64) (fma.f64 y #s(literal -1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64)))
(fma.f64 x #s(literal 1 binary64) (fma.f64 y #s(literal 1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64)))
(fma.f64 x #s(literal 1 binary64) (fma.f64 y #s(literal -1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64)))
(fma.f64 (fma.f64 y #s(literal 1/2 binary64) x) (*.f64 (fma.f64 y #s(literal 1/2 binary64) x) (/.f64 #s(literal -1 binary64) (fma.f64 y #s(literal 1/2 binary64) x))) #s(literal 918938533204673/1000000000000000 binary64))
(fma.f64 #s(literal -1/2 binary64) y (+.f64 x #s(literal 918938533204673/1000000000000000 binary64)))
(fma.f64 #s(literal -1/2 binary64) (neg.f64 y) (+.f64 x #s(literal 918938533204673/1000000000000000 binary64)))
(fma.f64 (*.f64 x (*.f64 x x)) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64))) (fma.f64 y #s(literal 1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64)))
(fma.f64 (*.f64 x (*.f64 x x)) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64))) (fma.f64 y #s(literal -1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64)))
(fma.f64 (fma.f64 x (*.f64 x x) (*.f64 (*.f64 y (*.f64 y y)) #s(literal -1/8 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 y y) #s(literal -1/4 binary64) (*.f64 x (fma.f64 y #s(literal 1/2 binary64) x)))) #s(literal 918938533204673/1000000000000000 binary64))
(fma.f64 (fma.f64 x (*.f64 x x) (*.f64 (*.f64 y (*.f64 y y)) #s(literal -1/8 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) #s(literal -1/4 binary64) (*.f64 x (fma.f64 y #s(literal 1/2 binary64) x)))) #s(literal 918938533204673/1000000000000000 binary64))
(fma.f64 (fma.f64 x (*.f64 x x) (*.f64 (*.f64 y (*.f64 y y)) #s(literal -1/8 binary64))) (neg.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 y y) #s(literal -1/4 binary64) (*.f64 x (fma.f64 y #s(literal 1/2 binary64) x))))) #s(literal 918938533204673/1000000000000000 binary64))
(fma.f64 (fma.f64 y (*.f64 y #s(literal 1/4 binary64)) (*.f64 x (fma.f64 y #s(literal 1/2 binary64) x))) (*.f64 (fma.f64 y #s(literal 1/2 binary64) x) (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 y y) #s(literal -1/4 binary64) (*.f64 x (fma.f64 y #s(literal 1/2 binary64) x))))) #s(literal 918938533204673/1000000000000000 binary64))
(fma.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) x) (fma.f64 y #s(literal 1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64)))
(fma.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) x) (fma.f64 y #s(literal -1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64)))
(fma.f64 #s(literal 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 y #s(literal 1/2 binary64) x) (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y #s(literal 1/2 binary64) x)) #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64))) (neg.f64 (/.f64 (*.f64 (fma.f64 y #s(literal 1/2 binary64) x) (fma.f64 y (*.f64 y #s(literal 1/4 binary64)) (*.f64 x x))) (fma.f64 (fma.f64 y #s(literal 1/2 binary64) x) (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y #s(literal 1/2 binary64) x)) #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64)))))
(fma.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y #s(literal 1/2 binary64) x))) (neg.f64 (/.f64 (fma.f64 y (*.f64 y #s(literal 1/4 binary64)) (*.f64 x x)) (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y #s(literal 1/2 binary64) x)))))
(fma.f64 #s(literal -1 binary64) (*.f64 y #s(literal 1/2 binary64)) (+.f64 x #s(literal 918938533204673/1000000000000000 binary64)))
(fma.f64 #s(literal -1 binary64) x (fma.f64 y #s(literal 1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64)))
(fma.f64 #s(literal -1 binary64) x (fma.f64 y #s(literal -1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64)))
(fma.f64 #s(literal -1 binary64) (fma.f64 y #s(literal 1/2 binary64) x) #s(literal 918938533204673/1000000000000000 binary64))
(fma.f64 #s(literal -1 binary64) (*.f64 y #s(literal -1/2 binary64)) (+.f64 x #s(literal 918938533204673/1000000000000000 binary64)))
(fma.f64 (fma.f64 y (*.f64 y #s(literal 1/4 binary64)) (*.f64 x x)) (/.f64 #s(literal -1 binary64) (fma.f64 y #s(literal 1/2 binary64) x)) #s(literal 918938533204673/1000000000000000 binary64))
(fma.f64 (fma.f64 y (*.f64 y #s(literal 1/4 binary64)) (*.f64 x x)) (neg.f64 (/.f64 #s(literal -1 binary64) (fma.f64 y #s(literal 1/2 binary64) x))) #s(literal 918938533204673/1000000000000000 binary64))
(fma.f64 (+.f64 #s(literal 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 binary64) (*.f64 (*.f64 y (*.f64 y y)) #s(literal -1/8 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (fma.f64 y (*.f64 y #s(literal 1/4 binary64)) (*.f64 #s(literal 918938533204673/2000000000000000 binary64) y)))) x)
(fma.f64 #s(literal 1 binary64) x (fma.f64 y #s(literal 1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64)))
(fma.f64 #s(literal 1 binary64) x (fma.f64 y #s(literal -1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64)))
(fma.f64 #s(literal 1 binary64) (fma.f64 y #s(literal 1/2 binary64) x) #s(literal 918938533204673/1000000000000000 binary64))
(fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 y #s(literal 1/2 binary64) x)) (fma.f64 y (*.f64 y #s(literal 1/4 binary64)) (*.f64 x x)) #s(literal 918938533204673/1000000000000000 binary64))
(fma.f64 (+.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (*.f64 (*.f64 y y) #s(literal -1/4 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 y #s(literal 1/2 binary64)))) x)
(fma.f64 (neg.f64 y) #s(literal 1/2 binary64) (+.f64 x #s(literal 918938533204673/1000000000000000 binary64)))
(fma.f64 (neg.f64 y) #s(literal -1/2 binary64) (+.f64 x #s(literal 918938533204673/1000000000000000 binary64)))
(fma.f64 (/.f64 (fma.f64 y #s(literal 1/2 binary64) x) (fma.f64 x (*.f64 x x) (*.f64 (*.f64 y (*.f64 y y)) #s(literal -1/8 binary64)))) (/.f64 (fma.f64 y #s(literal 1/2 binary64) x) (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 y y) #s(literal -1/4 binary64) (*.f64 x (fma.f64 y #s(literal 1/2 binary64) x))))) #s(literal 918938533204673/1000000000000000 binary64))
(neg.f64 (+.f64 (fma.f64 y #s(literal 1/2 binary64) x) #s(literal -918938533204673/1000000000000000 binary64)))
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(fma.f64 (/.f64 (*.f64 y y) y) (/.f64 (*.f64 x x) (+.f64 x #s(literal 1/2 binary64))) (neg.f64 (/.f64 (*.f64 y (*.f64 y #s(literal 1/4 binary64))) (*.f64 y (+.f64 x #s(literal -1/2 binary64))))))
(fma.f64 (/.f64 (*.f64 y (*.f64 y x)) y) (/.f64 x (+.f64 x #s(literal 1/2 binary64))) (neg.f64 (/.f64 (*.f64 y (*.f64 y #s(literal 1/4 binary64))) (*.f64 y (+.f64 x #s(literal -1/2 binary64))))))
(fma.f64 (*.f64 y #s(literal -1 binary64)) x (*.f64 y #s(literal 1/2 binary64)))
(fma.f64 (*.f64 y #s(literal -1 binary64)) x (*.f64 y #s(literal -1/2 binary64)))
(neg.f64 (*.f64 y (+.f64 x #s(literal -1/2 binary64))))
(/.f64 (*.f64 (*.f64 y (*.f64 y y)) (fma.f64 x (*.f64 x x) #s(literal -1/8 binary64))) (fma.f64 (*.f64 y y) (fma.f64 x x #s(literal 1/4 binary64)) (*.f64 x (*.f64 y (*.f64 y #s(literal -1/2 binary64))))))
(/.f64 (*.f64 (*.f64 y (*.f64 y y)) (fma.f64 x (*.f64 x x) #s(literal -1/8 binary64))) (fma.f64 y (*.f64 y #s(literal 1/4 binary64)) (*.f64 (*.f64 y (*.f64 y x)) (+.f64 x #s(literal 1/2 binary64)))))
(/.f64 (*.f64 (*.f64 y (*.f64 y y)) (fma.f64 x (*.f64 x x) #s(literal -1/8 binary64))) (neg.f64 (fma.f64 y (*.f64 y #s(literal 1/4 binary64)) (*.f64 (*.f64 y (*.f64 y x)) (+.f64 x #s(literal 1/2 binary64))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal -1 binary64) (*.f64 y (+.f64 x #s(literal -1/2 binary64))))))
(/.f64 (*.f64 (*.f64 y y) (fma.f64 x x #s(literal -1/4 binary64))) (*.f64 y (+.f64 x #s(literal -1/2 binary64))))
(/.f64 (*.f64 (*.f64 y y) (fma.f64 x x #s(literal -1/4 binary64))) (-.f64 (*.f64 y x) (*.f64 y #s(literal 1/2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 y (+.f64 x #s(literal -1/2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) (*.f64 y (+.f64 x #s(literal -1/2 binary64)))) #s(literal 1 binary64)))
(/.f64 (-.f64 (*.f64 (*.f64 y (*.f64 y (*.f64 x x))) (*.f64 y (+.f64 x #s(literal -1/2 binary64)))) (*.f64 (*.f64 y (+.f64 x #s(literal -1/2 binary64))) (*.f64 y (*.f64 y #s(literal 1/4 binary64))))) (*.f64 (*.f64 y y) (fma.f64 x x #s(literal -1/4 binary64))))
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y))) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y)))) (*.f64 (*.f64 (*.f64 y (*.f64 y y)) #s(literal -1/8 binary64)) (*.f64 #s(literal 1/64 binary64) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y)))))) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 y x) (*.f64 (*.f64 y (*.f64 y (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y)))) (*.f64 (*.f64 (*.f64 y (*.f64 y y)) #s(literal -1/8 binary64)) (-.f64 (*.f64 (*.f64 y (*.f64 y y)) #s(literal -1/8 binary64)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y)))))) (fma.f64 (*.f64 y y) (fma.f64 x x #s(literal 1/4 binary64)) (*.f64 x (*.f64 y (*.f64 y #s(literal -1/2 binary64)))))))
(/.f64 (*.f64 (*.f64 (*.f64 (*.f64 y (*.f64 y y)) (fma.f64 x (*.f64 x x) #s(literal -1/8 binary64))) (*.f64 (*.f64 y (*.f64 y y)) (fma.f64 x (*.f64 x x) #s(literal -1/8 binary64)))) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 y (*.f64 y y)) (fma.f64 x (*.f64 x x) #s(literal -1/8 binary64))) (fma.f64 (*.f64 y y) (fma.f64 x x #s(literal 1/4 binary64)) (*.f64 x (*.f64 y (*.f64 y #s(literal -1/2 binary64)))))))
(/.f64 (*.f64 (*.f64 (*.f64 (*.f64 y (*.f64 y y)) (fma.f64 x (*.f64 x x) #s(literal -1/8 binary64))) (*.f64 (*.f64 y (*.f64 y y)) (fma.f64 x (*.f64 x x) #s(literal -1/8 binary64)))) #s(literal 1 binary64)) (*.f64 (fma.f64 y (*.f64 (*.f64 y (*.f64 x x)) (*.f64 y (*.f64 y (*.f64 x x)))) (*.f64 (*.f64 y (*.f64 y #s(literal 1/4 binary64))) (*.f64 (*.f64 y y) (fma.f64 x x #s(literal -1/4 binary64))))) (*.f64 y (+.f64 x #s(literal -1/2 binary64)))))
(/.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) (fma.f64 x x #s(literal 1/4 binary64))) (*.f64 (*.f64 y y) (fma.f64 x x #s(literal -1/4 binary64)))) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 y y) (fma.f64 x x #s(literal 1/4 binary64))) (*.f64 y (+.f64 x #s(literal -1/2 binary64)))))
(/.f64 (-.f64 (*.f64 (*.f64 y (*.f64 y y)) #s(literal -1/8 binary64)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y)))) (fma.f64 y (*.f64 y #s(literal 1/4 binary64)) (*.f64 (*.f64 y (*.f64 y x)) (+.f64 x #s(literal 1/2 binary64)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 y (*.f64 y (*.f64 x x))) (*.f64 y (+.f64 x #s(literal -1/2 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 y (*.f64 y #s(literal 1/4 binary64))) (*.f64 y (+.f64 x #s(literal -1/2 binary64)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 y (*.f64 y (*.f64 x x))) (*.f64 y (+.f64 x #s(literal -1/2 binary64)))) (/.f64 (*.f64 y (*.f64 y (*.f64 x x))) (*.f64 y (+.f64 x #s(literal -1/2 binary64)))) (fma.f64 (/.f64 (*.f64 y (*.f64 y #s(literal 1/4 binary64))) (*.f64 y (+.f64 x #s(literal -1/2 binary64)))) (/.f64 (*.f64 y (*.f64 y #s(literal 1/4 binary64))) (*.f64 y (+.f64 x #s(literal -1/2 binary64)))) (*.f64 (/.f64 (*.f64 y (*.f64 y (*.f64 x x))) (*.f64 y (+.f64 x #s(literal -1/2 binary64)))) (/.f64 (*.f64 y (*.f64 y #s(literal 1/4 binary64))) (*.f64 y (+.f64 x #s(literal -1/2 binary64))))))))
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 y (*.f64 y (*.f64 x x))) (*.f64 y (+.f64 x #s(literal -1/2 binary64)))) (/.f64 (*.f64 y (*.f64 y (*.f64 x x))) (*.f64 y (+.f64 x #s(literal -1/2 binary64))))) (*.f64 (/.f64 (*.f64 y (*.f64 y #s(literal 1/4 binary64))) (*.f64 y (+.f64 x #s(literal -1/2 binary64)))) (/.f64 (*.f64 y (*.f64 y #s(literal 1/4 binary64))) (*.f64 y (+.f64 x #s(literal -1/2 binary64)))))) (+.f64 (/.f64 (*.f64 y (*.f64 y (*.f64 x x))) (*.f64 y (+.f64 x #s(literal -1/2 binary64)))) (/.f64 (*.f64 y (*.f64 y #s(literal 1/4 binary64))) (*.f64 y (+.f64 x #s(literal -1/2 binary64))))))
(/.f64 (*.f64 y (fma.f64 x (*.f64 x x) #s(literal -1/8 binary64))) (-.f64 (fma.f64 x x #s(literal 1/4 binary64)) (*.f64 x #s(literal -1/2 binary64))))
(/.f64 (*.f64 y (fma.f64 x x #s(literal -1/4 binary64))) (+.f64 x #s(literal 1/2 binary64)))
(/.f64 (*.f64 (*.f64 (*.f64 y (*.f64 y y)) (fma.f64 x (*.f64 x x) #s(literal -1/8 binary64))) #s(literal 1 binary64)) (fma.f64 (*.f64 y y) (fma.f64 x x #s(literal 1/4 binary64)) (*.f64 x (*.f64 y (*.f64 y #s(literal -1/2 binary64))))))
(/.f64 (*.f64 (*.f64 (*.f64 y y) (fma.f64 x x #s(literal -1/4 binary64))) #s(literal 1 binary64)) (*.f64 y (+.f64 x #s(literal -1/2 binary64))))
(pow.f64 (/.f64 #s(literal -1 binary64) (*.f64 y (+.f64 x #s(literal -1/2 binary64)))) #s(literal -1 binary64))
(*.f64 y (+.f64 x #s(literal -1/2 binary64)))
(*.f64 y (+.f64 x #s(literal 1/2 binary64)))
(*.f64 y (neg.f64 (+.f64 x #s(literal 1/2 binary64))))
(*.f64 y (-.f64 #s(literal -1/2 binary64) x))
(*.f64 (*.f64 (*.f64 y (*.f64 y y)) (fma.f64 x (*.f64 x x) #s(literal -1/8 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 y (*.f64 y #s(literal 1/4 binary64)) (*.f64 (*.f64 y (*.f64 y x)) (+.f64 x #s(literal 1/2 binary64))))))
(*.f64 (*.f64 (*.f64 y (*.f64 y y)) (fma.f64 x (*.f64 x x) #s(literal -1/8 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y #s(literal 1/4 binary64)) (*.f64 (*.f64 y (*.f64 y x)) (+.f64 x #s(literal 1/2 binary64))))))
(*.f64 (fma.f64 (*.f64 y y) (fma.f64 x x #s(literal 1/4 binary64)) (*.f64 x (*.f64 y (*.f64 y #s(literal -1/2 binary64))))) (*.f64 (*.f64 y (+.f64 x #s(literal -1/2 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 y (*.f64 y #s(literal 1/4 binary64)) (*.f64 (*.f64 y (*.f64 y x)) (+.f64 x #s(literal 1/2 binary64)))))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 x #s(literal -1/2 binary64))))
(*.f64 (*.f64 (*.f64 y y) (fma.f64 x x #s(literal -1/4 binary64))) (/.f64 #s(literal -1 binary64) (*.f64 y (+.f64 x #s(literal -1/2 binary64)))))
(*.f64 (*.f64 y (+.f64 x #s(literal -1/2 binary64))) (*.f64 (*.f64 y (+.f64 x #s(literal -1/2 binary64))) (/.f64 #s(literal -1 binary64) (*.f64 y (+.f64 x #s(literal -1/2 binary64))))))
(*.f64 (+.f64 x #s(literal -1/2 binary64)) y)
(*.f64 #s(literal 1 binary64) (*.f64 y (+.f64 x #s(literal -1/2 binary64))))
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 y (+.f64 x #s(literal -1/2 binary64)))) (/.f64 (*.f64 y (+.f64 x #s(literal -1/2 binary64))) (/.f64 #s(literal -1 binary64) (*.f64 y (+.f64 x #s(literal -1/2 binary64))))))
(*.f64 (neg.f64 y) (+.f64 x #s(literal 1/2 binary64)))
(*.f64 (/.f64 (*.f64 y (+.f64 x #s(literal -1/2 binary64))) y) (/.f64 (*.f64 y (+.f64 x #s(literal -1/2 binary64))) (+.f64 x #s(literal -1/2 binary64))))
(*.f64 (/.f64 (*.f64 y (+.f64 x #s(literal -1/2 binary64))) y) (/.f64 (*.f64 y (+.f64 x #s(literal -1/2 binary64))) (+.f64 x #s(literal 1/2 binary64))))
(*.f64 (/.f64 (*.f64 y (+.f64 x #s(literal -1/2 binary64))) (+.f64 x #s(literal -1/2 binary64))) (/.f64 (*.f64 y (+.f64 x #s(literal -1/2 binary64))) y))
(*.f64 (/.f64 (*.f64 y (+.f64 x #s(literal -1/2 binary64))) (*.f64 (*.f64 y (*.f64 y y)) (fma.f64 x (*.f64 x x) #s(literal -1/8 binary64)))) (/.f64 (*.f64 y (+.f64 x #s(literal -1/2 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 y (*.f64 y #s(literal 1/4 binary64)) (*.f64 (*.f64 y (*.f64 y x)) (+.f64 x #s(literal 1/2 binary64)))))))

simplify197.0ms (2.4%)

Memory
-10.9MiB live, 352.0MiB allocated
Algorithm
1×egg-herbie
Rules
5 926×accelerator-lowering-fma.f32
5 926×accelerator-lowering-fma.f64
2 138×*-lowering-*.f32
2 138×*-lowering-*.f64
972×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
074533
1237533
2621533
31531533
44006533
55535533
67941533
08074496
Stop Event
1×iter limit
1×node limit
Counts
120 → 120
Calls
Call 1
Inputs
(- 918938533204673/1000000000000000 x)
(- (+ 918938533204673/1000000000000000 (* -1/2 y)) x)
(- (+ 918938533204673/1000000000000000 (* -1/2 y)) x)
(- (+ 918938533204673/1000000000000000 (* -1/2 y)) x)
(* -1/2 y)
(* y (- (* 918938533204673/1000000000000000 (/ 1 y)) (+ 1/2 (/ x y))))
(* y (- (* 918938533204673/1000000000000000 (/ 1 y)) (+ 1/2 (/ x y))))
(* y (- (* 918938533204673/1000000000000000 (/ 1 y)) (+ 1/2 (/ x y))))
(* -1/2 y)
(* -1 (* y (+ 1/2 (* -1 (/ (- 918938533204673/1000000000000000 x) y)))))
(* -1 (* y (+ 1/2 (* -1 (/ (- 918938533204673/1000000000000000 x) y)))))
(* -1 (* y (+ 1/2 (* -1 (/ (- 918938533204673/1000000000000000 x) y)))))
(- 918938533204673/1000000000000000 (* 1/2 y))
(- (+ 918938533204673/1000000000000000 (* -1 x)) (* 1/2 y))
(- (+ 918938533204673/1000000000000000 (* -1 x)) (* 1/2 y))
(- (+ 918938533204673/1000000000000000 (* -1 x)) (* 1/2 y))
(* -1 x)
(* x (- (* 918938533204673/1000000000000000 (/ 1 x)) (+ 1 (* 1/2 (/ y x)))))
(* x (- (* 918938533204673/1000000000000000 (/ 1 x)) (+ 1 (* 1/2 (/ y x)))))
(* x (- (* 918938533204673/1000000000000000 (/ 1 x)) (+ 1 (* 1/2 (/ y x)))))
(* -1 x)
(* -1 (* x (+ 1 (* -1 (/ (- 918938533204673/1000000000000000 (* 1/2 y)) x)))))
(* -1 (* x (+ 1 (* -1 (/ (- 918938533204673/1000000000000000 (* 1/2 y)) x)))))
(* -1 (* x (+ 1 (* -1 (/ (- 918938533204673/1000000000000000 (* 1/2 y)) x)))))
x
(+ x (* 1/2 y))
(+ x (* 1/2 y))
(+ x (* 1/2 y))
(* 1/2 y)
(* y (+ 1/2 (/ x y)))
(* y (+ 1/2 (/ x y)))
(* y (+ 1/2 (/ x y)))
(* 1/2 y)
(* -1 (* y (- (* -1 (/ x y)) 1/2)))
(* -1 (* y (- (* -1 (/ x y)) 1/2)))
(* -1 (* y (- (* -1 (/ x y)) 1/2)))
(* 1/2 y)
(+ x (* 1/2 y))
(+ x (* 1/2 y))
(+ x (* 1/2 y))
x
(* x (+ 1 (* 1/2 (/ y x))))
(* x (+ 1 (* 1/2 (/ y x))))
(* x (+ 1 (* 1/2 (/ y x))))
x
(* -1 (* x (- (* -1/2 (/ y x)) 1)))
(* -1 (* x (- (* -1/2 (/ y x)) 1)))
(* -1 (* x (- (* -1/2 (/ y x)) 1)))
(* -1/2 y)
(* -1/2 y)
(* -1/2 y)
(* -1/2 y)
(* -1/2 y)
(* -1/2 y)
(* -1/2 y)
(* -1/2 y)
(* -1/2 y)
(* -1/2 y)
(* -1/2 y)
(* -1/2 y)
(* -1 x)
(- (* x y) x)
(- (* x y) x)
(- (* x y) x)
(* x y)
(* y (+ x (* -1 (/ x y))))
(* y (+ x (* -1 (/ x y))))
(* y (+ x (* -1 (/ x y))))
(* x y)
(* -1 (* y (+ (* -1 x) (/ x y))))
(* -1 (* y (+ (* -1 x) (/ x y))))
(* -1 (* y (+ (* -1 x) (/ x y))))
(* x (- y 1))
(* x (- y 1))
(* x (- y 1))
(* x (- y 1))
(* x (- y 1))
(* x (- y 1))
(* x (- y 1))
(* x (- y 1))
(* -1 (* x (+ 1 (* -1 y))))
(* -1 (* x (+ 1 (* -1 y))))
(* -1 (* x (+ 1 (* -1 y))))
(* -1 (* x (+ 1 (* -1 y))))
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* y (- x 1/2))
(* y (- x 1/2))
(* y (- x 1/2))
(* y (- x 1/2))
(* y (- x 1/2))
(* y (- x 1/2))
(* y (- x 1/2))
(* y (- x 1/2))
(* -1 (* y (+ 1/2 (* -1 x))))
(* -1 (* y (+ 1/2 (* -1 x))))
(* -1 (* y (+ 1/2 (* -1 x))))
(* -1 (* y (+ 1/2 (* -1 x))))
(* -1/2 y)
(+ (* -1/2 y) (* x y))
(+ (* -1/2 y) (* x y))
(+ (* -1/2 y) (* x y))
(* x y)
(* x (+ y (* -1/2 (/ y x))))
(* x (+ y (* -1/2 (/ y x))))
(* x (+ y (* -1/2 (/ y x))))
(* x y)
(* -1 (* x (+ (* -1 y) (* 1/2 (/ y x)))))
(* -1 (* x (+ (* -1 y) (* 1/2 (/ y x)))))
(* -1 (* x (+ (* -1 y) (* 1/2 (/ y x)))))
Outputs
(- 918938533204673/1000000000000000 x)
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)
(- (+ 918938533204673/1000000000000000 (* -1/2 y)) x)
(-.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64)) x)
(- (+ 918938533204673/1000000000000000 (* -1/2 y)) x)
(-.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64)) x)
(- (+ 918938533204673/1000000000000000 (* -1/2 y)) x)
(-.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64)) x)
(* -1/2 y)
(*.f64 #s(literal -1/2 binary64) y)
(* y (- (* 918938533204673/1000000000000000 (/ 1 y)) (+ 1/2 (/ x y))))
(-.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64)) x)
(* y (- (* 918938533204673/1000000000000000 (/ 1 y)) (+ 1/2 (/ x y))))
(-.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64)) x)
(* y (- (* 918938533204673/1000000000000000 (/ 1 y)) (+ 1/2 (/ x y))))
(-.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64)) x)
(* -1/2 y)
(*.f64 #s(literal -1/2 binary64) y)
(* -1 (* y (+ 1/2 (* -1 (/ (- 918938533204673/1000000000000000 x) y)))))
(-.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64)) x)
(* -1 (* y (+ 1/2 (* -1 (/ (- 918938533204673/1000000000000000 x) y)))))
(-.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64)) x)
(* -1 (* y (+ 1/2 (* -1 (/ (- 918938533204673/1000000000000000 x) y)))))
(-.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64)) x)
(- 918938533204673/1000000000000000 (* 1/2 y))
(fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64))
(- (+ 918938533204673/1000000000000000 (* -1 x)) (* 1/2 y))
(-.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64)) x)
(- (+ 918938533204673/1000000000000000 (* -1 x)) (* 1/2 y))
(-.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64)) x)
(- (+ 918938533204673/1000000000000000 (* -1 x)) (* 1/2 y))
(-.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64)) x)
(* -1 x)
(neg.f64 x)
(* x (- (* 918938533204673/1000000000000000 (/ 1 x)) (+ 1 (* 1/2 (/ y x)))))
(-.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64)) x)
(* x (- (* 918938533204673/1000000000000000 (/ 1 x)) (+ 1 (* 1/2 (/ y x)))))
(-.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64)) x)
(* x (- (* 918938533204673/1000000000000000 (/ 1 x)) (+ 1 (* 1/2 (/ y x)))))
(-.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64)) x)
(* -1 x)
(neg.f64 x)
(* -1 (* x (+ 1 (* -1 (/ (- 918938533204673/1000000000000000 (* 1/2 y)) x)))))
(-.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64)) x)
(* -1 (* x (+ 1 (* -1 (/ (- 918938533204673/1000000000000000 (* 1/2 y)) x)))))
(-.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64)) x)
(* -1 (* x (+ 1 (* -1 (/ (- 918938533204673/1000000000000000 (* 1/2 y)) x)))))
(-.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64)) x)
x
(+ x (* 1/2 y))
(fma.f64 y #s(literal 1/2 binary64) x)
(+ x (* 1/2 y))
(fma.f64 y #s(literal 1/2 binary64) x)
(+ x (* 1/2 y))
(fma.f64 y #s(literal 1/2 binary64) x)
(* 1/2 y)
(*.f64 y #s(literal 1/2 binary64))
(* y (+ 1/2 (/ x y)))
(fma.f64 y #s(literal 1/2 binary64) x)
(* y (+ 1/2 (/ x y)))
(fma.f64 y #s(literal 1/2 binary64) x)
(* y (+ 1/2 (/ x y)))
(fma.f64 y #s(literal 1/2 binary64) x)
(* 1/2 y)
(*.f64 y #s(literal 1/2 binary64))
(* -1 (* y (- (* -1 (/ x y)) 1/2)))
(fma.f64 y #s(literal 1/2 binary64) x)
(* -1 (* y (- (* -1 (/ x y)) 1/2)))
(fma.f64 y #s(literal 1/2 binary64) x)
(* -1 (* y (- (* -1 (/ x y)) 1/2)))
(fma.f64 y #s(literal 1/2 binary64) x)
(* 1/2 y)
(*.f64 y #s(literal 1/2 binary64))
(+ x (* 1/2 y))
(fma.f64 y #s(literal 1/2 binary64) x)
(+ x (* 1/2 y))
(fma.f64 y #s(literal 1/2 binary64) x)
(+ x (* 1/2 y))
(fma.f64 y #s(literal 1/2 binary64) x)
x
(* x (+ 1 (* 1/2 (/ y x))))
(fma.f64 y #s(literal 1/2 binary64) x)
(* x (+ 1 (* 1/2 (/ y x))))
(fma.f64 y #s(literal 1/2 binary64) x)
(* x (+ 1 (* 1/2 (/ y x))))
(fma.f64 y #s(literal 1/2 binary64) x)
x
(* -1 (* x (- (* -1/2 (/ y x)) 1)))
(fma.f64 y #s(literal 1/2 binary64) x)
(* -1 (* x (- (* -1/2 (/ y x)) 1)))
(fma.f64 y #s(literal 1/2 binary64) x)
(* -1 (* x (- (* -1/2 (/ y x)) 1)))
(fma.f64 y #s(literal 1/2 binary64) x)
(* -1/2 y)
(*.f64 #s(literal -1/2 binary64) y)
(* -1/2 y)
(*.f64 #s(literal -1/2 binary64) y)
(* -1/2 y)
(*.f64 #s(literal -1/2 binary64) y)
(* -1/2 y)
(*.f64 #s(literal -1/2 binary64) y)
(* -1/2 y)
(*.f64 #s(literal -1/2 binary64) y)
(* -1/2 y)
(*.f64 #s(literal -1/2 binary64) y)
(* -1/2 y)
(*.f64 #s(literal -1/2 binary64) y)
(* -1/2 y)
(*.f64 #s(literal -1/2 binary64) y)
(* -1/2 y)
(*.f64 #s(literal -1/2 binary64) y)
(* -1/2 y)
(*.f64 #s(literal -1/2 binary64) y)
(* -1/2 y)
(*.f64 #s(literal -1/2 binary64) y)
(* -1/2 y)
(*.f64 #s(literal -1/2 binary64) y)
(* -1 x)
(neg.f64 x)
(- (* x y) x)
(-.f64 (*.f64 x y) x)
(- (* x y) x)
(-.f64 (*.f64 x y) x)
(- (* x y) x)
(-.f64 (*.f64 x y) x)
(* x y)
(*.f64 x y)
(* y (+ x (* -1 (/ x y))))
(-.f64 (*.f64 x y) x)
(* y (+ x (* -1 (/ x y))))
(-.f64 (*.f64 x y) x)
(* y (+ x (* -1 (/ x y))))
(-.f64 (*.f64 x y) x)
(* x y)
(*.f64 x y)
(* -1 (* y (+ (* -1 x) (/ x y))))
(-.f64 (*.f64 x y) x)
(* -1 (* y (+ (* -1 x) (/ x y))))
(-.f64 (*.f64 x y) x)
(* -1 (* y (+ (* -1 x) (/ x y))))
(-.f64 (*.f64 x y) x)
(* x (- y 1))
(-.f64 (*.f64 x y) x)
(* x (- y 1))
(-.f64 (*.f64 x y) x)
(* x (- y 1))
(-.f64 (*.f64 x y) x)
(* x (- y 1))
(-.f64 (*.f64 x y) x)
(* x (- y 1))
(-.f64 (*.f64 x y) x)
(* x (- y 1))
(-.f64 (*.f64 x y) x)
(* x (- y 1))
(-.f64 (*.f64 x y) x)
(* x (- y 1))
(-.f64 (*.f64 x y) x)
(* -1 (* x (+ 1 (* -1 y))))
(-.f64 (*.f64 x y) x)
(* -1 (* x (+ 1 (* -1 y))))
(-.f64 (*.f64 x y) x)
(* -1 (* x (+ 1 (* -1 y))))
(-.f64 (*.f64 x y) x)
(* -1 (* x (+ 1 (* -1 y))))
(-.f64 (*.f64 x y) x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* y (- x 1/2))
(*.f64 y (+.f64 x #s(literal -1/2 binary64)))
(* y (- x 1/2))
(*.f64 y (+.f64 x #s(literal -1/2 binary64)))
(* y (- x 1/2))
(*.f64 y (+.f64 x #s(literal -1/2 binary64)))
(* y (- x 1/2))
(*.f64 y (+.f64 x #s(literal -1/2 binary64)))
(* y (- x 1/2))
(*.f64 y (+.f64 x #s(literal -1/2 binary64)))
(* y (- x 1/2))
(*.f64 y (+.f64 x #s(literal -1/2 binary64)))
(* y (- x 1/2))
(*.f64 y (+.f64 x #s(literal -1/2 binary64)))
(* y (- x 1/2))
(*.f64 y (+.f64 x #s(literal -1/2 binary64)))
(* -1 (* y (+ 1/2 (* -1 x))))
(*.f64 y (+.f64 x #s(literal -1/2 binary64)))
(* -1 (* y (+ 1/2 (* -1 x))))
(*.f64 y (+.f64 x #s(literal -1/2 binary64)))
(* -1 (* y (+ 1/2 (* -1 x))))
(*.f64 y (+.f64 x #s(literal -1/2 binary64)))
(* -1 (* y (+ 1/2 (* -1 x))))
(*.f64 y (+.f64 x #s(literal -1/2 binary64)))
(* -1/2 y)
(*.f64 #s(literal -1/2 binary64) y)
(+ (* -1/2 y) (* x y))
(*.f64 y (+.f64 x #s(literal -1/2 binary64)))
(+ (* -1/2 y) (* x y))
(*.f64 y (+.f64 x #s(literal -1/2 binary64)))
(+ (* -1/2 y) (* x y))
(*.f64 y (+.f64 x #s(literal -1/2 binary64)))
(* x y)
(*.f64 x y)
(* x (+ y (* -1/2 (/ y x))))
(*.f64 y (+.f64 x #s(literal -1/2 binary64)))
(* x (+ y (* -1/2 (/ y x))))
(*.f64 y (+.f64 x #s(literal -1/2 binary64)))
(* x (+ y (* -1/2 (/ y x))))
(*.f64 y (+.f64 x #s(literal -1/2 binary64)))
(* x y)
(*.f64 x y)
(* -1 (* x (+ (* -1 y) (* 1/2 (/ y x)))))
(*.f64 y (+.f64 x #s(literal -1/2 binary64)))
(* -1 (* x (+ (* -1 y) (* 1/2 (/ y x)))))
(*.f64 y (+.f64 x #s(literal -1/2 binary64)))
(* -1 (* x (+ (* -1 y) (* 1/2 (/ y x)))))
(*.f64 y (+.f64 x #s(literal -1/2 binary64)))

eval58.0ms (0.7%)

Memory
16.3MiB live, 129.2MiB allocated
Compiler

Compiled 7 842 to 891 computations (88.6% saved)

prune52.0ms (0.6%)

Memory
5.2MiB live, 125.5MiB allocated
Pruning

12 alts after pruning (4 fresh and 8 done)

PrunedKeptTotal
New5061507
Fresh033
Picked145
Done044
Total50712519
Accuracy
100.0%
Counts
519 → 12
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓55.6%
(fma.f64 y x (*.f64 y #s(literal -1/2 binary64)))
✓47.8%
(fma.f64 y x (neg.f64 x))
✓52.4%
(fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64))
▶74.8%
(-.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64)) x)
✓100.0%
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x))
▶70.6%
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y (neg.f64 x) x))
✓46.5%
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)
✓55.6%
(*.f64 y (+.f64 #s(literal -1/2 binary64) x))
▶26.5%
(*.f64 y x)
✓30.8%
(*.f64 y #s(literal -1/2 binary64))
▶23.6%
(neg.f64 x)
✓24.0%
#s(literal 918938533204673/1000000000000000 binary64)
Compiler

Compiled 77 to 55 computations (28.6% saved)

simplify31.0ms (0.4%)

Memory
11.1MiB live, 50.5MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 7 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64))
✓cost-diff0
(-.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64)) x)
✓cost-diff0
(neg.f64 x)
✓cost-diff0
(fma.f64 y (neg.f64 x) x)
✓cost-diff128
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y (neg.f64 x) x))
✓cost-diff0
(*.f64 y x)
✓cost-diff0
(neg.f64 x)
Rules
640×accelerator-lowering-fma.f32
640×accelerator-lowering-fma.f64
240×*-lowering-*.f32
240×*-lowering-*.f64
192×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01243
12941
26341
316841
434941
558841
671141
783441
884441
084438
Stop Event
1×iter limit
1×saturated
Calls
Call 1
Inputs
(neg x)
x
(* y x)
y
x
(- 918938533204673/1000000000000000 (+ (* y (neg x)) x))
918938533204673/1000000000000000
(+ (* y (neg x)) x)
y
(neg x)
x
(- (+ (* -1/2 y) 918938533204673/1000000000000000) x)
(+ (* -1/2 y) 918938533204673/1000000000000000)
-1/2
y
918938533204673/1000000000000000
x
Outputs
(neg x)
(neg.f64 x)
x
(* y x)
(*.f64 x y)
y
x
(- 918938533204673/1000000000000000 (+ (* y (neg x)) x))
(-.f64 (fma.f64 x y #s(literal 918938533204673/1000000000000000 binary64)) x)
918938533204673/1000000000000000
#s(literal 918938533204673/1000000000000000 binary64)
(+ (* y (neg x)) x)
(-.f64 x (*.f64 x y))
y
(neg x)
(neg.f64 x)
x
(- (+ (* -1/2 y) 918938533204673/1000000000000000) x)
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y #s(literal 1/2 binary64) x))
(+ (* -1/2 y) 918938533204673/1000000000000000)
(fma.f64 y #s(literal -1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64))
-1/2
#s(literal -1/2 binary64)
y
918938533204673/1000000000000000
#s(literal 918938533204673/1000000000000000 binary64)
x

localize43.0ms (0.5%)

Memory
6.7MiB live, 87.5MiB allocated
Localize:

Found 7 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64))
✓accuracy100.0%
(-.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64)) x)
✓accuracy100.0%
(fma.f64 y (neg.f64 x) x)
✓accuracy100.0%
(neg.f64 x)
✓accuracy100.0%
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y (neg.f64 x) x))
✓accuracy100.0%
(*.f64 y x)
✓accuracy100.0%
(neg.f64 x)
Samples
28.0ms256×0valid
Compiler

Compiled 41 to 14 computations (65.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 17.0ms
ival-mult: 5.0ms (28.7% of total)
const: 5.0ms (28.7% of total)
ival-add: 4.0ms (23% of total)
ival-sub: 2.0ms (11.5% of total)
ival-neg: 1.0ms (5.7% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series4.0ms (0.1%)

Memory
-32.0MiB live, 6.7MiB allocated
Counts
6 → 120
Calls
Call 1
Inputs
#<alt (neg x)>
#<alt (* y x)>
#<alt (- 918938533204673/1000000000000000 (+ (* y (neg x)) x))>
#<alt (+ (* y (neg x)) x)>
#<alt (- (+ (* -1/2 y) 918938533204673/1000000000000000) x)>
#<alt (+ (* -1/2 y) 918938533204673/1000000000000000)>
Outputs
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* 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 (- 918938533204673/1000000000000000 x)>
#<alt (- (+ 918938533204673/1000000000000000 (* x y)) x)>
#<alt (- (+ 918938533204673/1000000000000000 (* x y)) x)>
#<alt (- (+ 918938533204673/1000000000000000 (* x y)) x)>
#<alt (* x y)>
#<alt (* y (- (* 918938533204673/1000000000000000 (/ 1 y)) (+ (* -1 x) (/ x y))))>
#<alt (* y (- (* 918938533204673/1000000000000000 (/ 1 y)) (+ (* -1 x) (/ x y))))>
#<alt (* y (- (* 918938533204673/1000000000000000 (/ 1 y)) (+ (* -1 x) (/ x y))))>
#<alt (* x y)>
#<alt (* -1 (* y (- (* -1 (/ (- 918938533204673/1000000000000000 x) y)) x)))>
#<alt (* -1 (* y (- (* -1 (/ (- 918938533204673/1000000000000000 x) y)) x)))>
#<alt (* -1 (* y (- (* -1 (/ (- 918938533204673/1000000000000000 x) y)) x)))>
#<alt 918938533204673/1000000000000000>
#<alt (+ 918938533204673/1000000000000000 (* -1 (* x (+ 1 (* -1 y)))))>
#<alt (+ 918938533204673/1000000000000000 (* -1 (* x (+ 1 (* -1 y)))))>
#<alt (+ 918938533204673/1000000000000000 (* -1 (* x (+ 1 (* -1 y)))))>
#<alt (* -1 (* x (+ 1 (* -1 y))))>
#<alt (* x (- (* 918938533204673/1000000000000000 (/ 1 x)) (+ 1 (* -1 y))))>
#<alt (* x (- (* 918938533204673/1000000000000000 (/ 1 x)) (+ 1 (* -1 y))))>
#<alt (* x (- (* 918938533204673/1000000000000000 (/ 1 x)) (+ 1 (* -1 y))))>
#<alt (* -1 (* x (- 1 y)))>
#<alt (* -1 (* x (- 1 (+ y (* 918938533204673/1000000000000000 (/ 1 x))))))>
#<alt (* -1 (* x (- 1 (+ y (* 918938533204673/1000000000000000 (/ 1 x))))))>
#<alt (* -1 (* x (- 1 (+ y (* 918938533204673/1000000000000000 (/ 1 x))))))>
#<alt x>
#<alt (+ x (* -1 (* x y)))>
#<alt (+ x (* -1 (* x y)))>
#<alt (+ x (* -1 (* x y)))>
#<alt (* -1 (* x y))>
#<alt (* y (+ (* -1 x) (/ x y)))>
#<alt (* y (+ (* -1 x) (/ x y)))>
#<alt (* y (+ (* -1 x) (/ x y)))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* y (+ x (* -1 (/ x y)))))>
#<alt (* -1 (* y (+ x (* -1 (/ x y)))))>
#<alt (* -1 (* y (+ x (* -1 (/ x y)))))>
#<alt (* x (+ 1 (* -1 y)))>
#<alt (* x (+ 1 (* -1 y)))>
#<alt (* x (+ 1 (* -1 y)))>
#<alt (* x (+ 1 (* -1 y)))>
#<alt (* x (+ 1 (* -1 y)))>
#<alt (* x (+ 1 (* -1 y)))>
#<alt (* x (+ 1 (* -1 y)))>
#<alt (* x (+ 1 (* -1 y)))>
#<alt (* -1 (* x (- y 1)))>
#<alt (* -1 (* x (- y 1)))>
#<alt (* -1 (* x (- y 1)))>
#<alt (* -1 (* x (- y 1)))>
#<alt (- 918938533204673/1000000000000000 x)>
#<alt (- (+ 918938533204673/1000000000000000 (* -1/2 y)) x)>
#<alt (- (+ 918938533204673/1000000000000000 (* -1/2 y)) x)>
#<alt (- (+ 918938533204673/1000000000000000 (* -1/2 y)) x)>
#<alt (* -1/2 y)>
#<alt (* y (- (* 918938533204673/1000000000000000 (/ 1 y)) (+ 1/2 (/ x y))))>
#<alt (* y (- (* 918938533204673/1000000000000000 (/ 1 y)) (+ 1/2 (/ x y))))>
#<alt (* y (- (* 918938533204673/1000000000000000 (/ 1 y)) (+ 1/2 (/ x y))))>
#<alt (* -1/2 y)>
#<alt (* -1 (* y (+ 1/2 (* -1 (/ (- 918938533204673/1000000000000000 x) y)))))>
#<alt (* -1 (* y (+ 1/2 (* -1 (/ (- 918938533204673/1000000000000000 x) y)))))>
#<alt (* -1 (* y (+ 1/2 (* -1 (/ (- 918938533204673/1000000000000000 x) y)))))>
#<alt (+ 918938533204673/1000000000000000 (* -1/2 y))>
#<alt (+ 918938533204673/1000000000000000 (+ (* -1 x) (* -1/2 y)))>
#<alt (+ 918938533204673/1000000000000000 (+ (* -1 x) (* -1/2 y)))>
#<alt (+ 918938533204673/1000000000000000 (+ (* -1 x) (* -1/2 y)))>
#<alt (* -1 x)>
#<alt (* x (- (+ (* -1/2 (/ y x)) (* 918938533204673/1000000000000000 (/ 1 x))) 1))>
#<alt (* x (- (+ (* -1/2 (/ y x)) (* 918938533204673/1000000000000000 (/ 1 x))) 1))>
#<alt (* x (- (+ (* -1/2 (/ y x)) (* 918938533204673/1000000000000000 (/ 1 x))) 1))>
#<alt (* -1 x)>
#<alt (* -1 (* x (+ 1 (* -1 (/ (+ 918938533204673/1000000000000000 (* -1/2 y)) x)))))>
#<alt (* -1 (* x (+ 1 (* -1 (/ (+ 918938533204673/1000000000000000 (* -1/2 y)) x)))))>
#<alt (* -1 (* x (+ 1 (* -1 (/ (+ 918938533204673/1000000000000000 (* -1/2 y)) x)))))>
#<alt 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)))))>
Calls

30 calls:

TimeVariablePointExpression
2.0ms
x
@0
(- 918938533204673/1000000000000000 (+ (* y (neg x)) x))
0.0ms
y
@0
(- 918938533204673/1000000000000000 (+ (* y (neg x)) x))
0.0ms
x
@0
(+ (* y (neg x)) x)
0.0ms
y
@-inf
(- 918938533204673/1000000000000000 (+ (* y (neg x)) x))
0.0ms
y
@inf
(- 918938533204673/1000000000000000 (+ (* y (neg x)) x))

rewrite296.0ms (3.6%)

Memory
43.0MiB live, 514.4MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
5 250×*-lowering-*.f32
5 250×*-lowering-*.f64
4 462×accelerator-lowering-fma.f32
4 462×accelerator-lowering-fma.f64
4 354×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01231
17629
268829
0833127
Stop Event
1×iter limit
1×node limit
Counts
6 → 311
Calls
Call 1
Inputs
(neg x)
(* y x)
(- 918938533204673/1000000000000000 (+ (* y (neg x)) x))
(+ (* y (neg x)) x)
(- (+ (* -1/2 y) 918938533204673/1000000000000000) x)
(+ (* -1/2 y) 918938533204673/1000000000000000)
Outputs
(+.f64 #s(literal 0 binary64) (neg.f64 x))
(-.f64 #s(literal 0 binary64) x)
(-.f64 (/.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 0 binary64))) (/.f64 (*.f64 x (*.f64 x x)) (fma.f64 x x #s(literal 0 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) x) x)
(neg.f64 x)
(/.f64 (*.f64 x x) (neg.f64 x))
(/.f64 (neg.f64 (*.f64 x (*.f64 x x))) (fma.f64 x x #s(literal 0 binary64)))
(/.f64 (neg.f64 (*.f64 x (*.f64 x x))) (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 x x) (*.f64 #s(literal 0 binary64) (neg.f64 x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x #s(literal 0 binary64)) (neg.f64 (*.f64 x (*.f64 x x)))))
(/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 x (neg.f64 x))))
(/.f64 (*.f64 x (neg.f64 x)) x)
(/.f64 (neg.f64 (neg.f64 (*.f64 x (*.f64 x x)))) (neg.f64 (fma.f64 x x #s(literal 0 binary64))))
(*.f64 x #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) x)
(*.f64 (neg.f64 (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64))))
(*.f64 (*.f64 x (neg.f64 x)) (/.f64 #s(literal 1 binary64) x))
(+.f64 (*.f64 (neg.f64 y) #s(literal 0 binary64)) (*.f64 x y))
(+.f64 (*.f64 #s(literal 0 binary64) (neg.f64 y)) (*.f64 x y))
(-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 x) y))
(fma.f64 #s(literal 0 binary64) (neg.f64 y) (*.f64 x y))
(fma.f64 (neg.f64 y) #s(literal 0 binary64) (*.f64 x y))
(neg.f64 (*.f64 (neg.f64 x) y))
(*.f64 x y)
(*.f64 x (neg.f64 (neg.f64 y)))
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(/.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 (fma.f64 #s(literal 1/64 binary64) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))) (-.f64 #s(literal 602169531346229162124410547214766300102947990270042776016856015928398225588775409969193089/1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 binary64) (*.f64 (*.f64 y (*.f64 y y)) #s(literal -775995832041789488711238455368417219672369217/8000000000000000000000000000000000000000000000 binary64)))) (+.f64 (fma.f64 (*.f64 y y) #s(literal 1/4 binary64) #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64)) (*.f64 y #s(literal 918938533204673/2000000000000000 binary64)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 y (*.f64 y y)) #s(literal -1/8 binary64) #s(literal 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 binary64)))) (neg.f64 (neg.f64 (+.f64 (fma.f64 (*.f64 y y) #s(literal 1/4 binary64) #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64)) (*.f64 y #s(literal 918938533204673/2000000000000000 binary64))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 y y) #s(literal 1/4 binary64) #s(literal -844448027808355901771309036929/1000000000000000000000000000000 binary64)))) (neg.f64 (fma.f64 y #s(literal 1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (*.f64 (*.f64 y y) #s(literal 1/4 binary64)))) (neg.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 y #s(literal -1/2 binary64)))))
(/.f64 (fma.f64 (fma.f64 y #s(literal -1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64)) (*.f64 (fma.f64 y #s(literal -1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64)) (fma.f64 y #s(literal -1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64))) #s(literal 0 binary64)) (fma.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 #s(literal 0 binary64) (*.f64 (fma.f64 y #s(literal -1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64)) #s(literal 0 binary64)))))
(/.f64 (-.f64 (pow.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 3 binary64)) (pow.f64 (/.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (fma.f64 y #s(literal -1/2 binary64) #s(literal -918938533204673/1000000000000000 binary64))) #s(literal 3 binary64))) (fma.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 (*.f64 (*.f64 y y) #s(literal 1/4 binary64)) (fma.f64 y #s(literal -1/2 binary64) #s(literal -918938533204673/1000000000000000 binary64))) (fma.f64 (/.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 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 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 (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 0 binary64)) (-.f64 (fma.f64 y #s(literal -1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64)) #s(literal 0 binary64)))
(/.f64 (-.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 (*.f64 (*.f64 y y) #s(literal 1/4 binary64)) (fma.f64 y #s(literal -1/2 binary64) #s(literal -918938533204673/1000000000000000 binary64)))) (*.f64 (/.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 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 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)))))
(pow.f64 (/.f64 #s(literal 1 binary64) (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)) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 (*.f64 y y) #s(literal 1/4 binary64) #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64)) (*.f64 y #s(literal 918938533204673/2000000000000000 binary64)))))
(*.f64 (fma.f64 (*.f64 y (*.f64 y y)) #s(literal -1/8 binary64) #s(literal 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (fma.f64 (*.f64 y y) #s(literal 1/4 binary64) (*.f64 y #s(literal 918938533204673/2000000000000000 binary64))))))
(*.f64 (fma.f64 (*.f64 y 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))) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 (fma.f64 (*.f64 y y) #s(literal 1/4 binary64) #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64)) (*.f64 y #s(literal 918938533204673/2000000000000000 binary64))))))
(*.f64 (neg.f64 (fma.f64 (*.f64 y 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 #s(literal 1 binary64) (fma.f64 y #s(literal -1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64)))
(*.f64 (-.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (*.f64 (*.f64 y y) #s(literal 1/4 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 y #s(literal -1/2 binary64)))))

simplify223.0ms (2.7%)

Memory
-20.3MiB live, 335.9MiB allocated
Algorithm
1×egg-herbie
Rules
5 934×accelerator-lowering-fma.f32
5 934×accelerator-lowering-fma.f64
2 328×*-lowering-*.f32
2 328×*-lowering-*.f64
1 918×--lowering--.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
075575
1231554
2610552
31530552
43999552
55534552
67861552
08582506
Stop Event
1×iter limit
1×node limit
Counts
120 → 120
Calls
Call 1
Inputs
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* 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)
(- 918938533204673/1000000000000000 x)
(- (+ 918938533204673/1000000000000000 (* x y)) x)
(- (+ 918938533204673/1000000000000000 (* x y)) x)
(- (+ 918938533204673/1000000000000000 (* x y)) x)
(* x y)
(* y (- (* 918938533204673/1000000000000000 (/ 1 y)) (+ (* -1 x) (/ x y))))
(* y (- (* 918938533204673/1000000000000000 (/ 1 y)) (+ (* -1 x) (/ x y))))
(* y (- (* 918938533204673/1000000000000000 (/ 1 y)) (+ (* -1 x) (/ x y))))
(* x y)
(* -1 (* y (- (* -1 (/ (- 918938533204673/1000000000000000 x) y)) x)))
(* -1 (* y (- (* -1 (/ (- 918938533204673/1000000000000000 x) y)) x)))
(* -1 (* y (- (* -1 (/ (- 918938533204673/1000000000000000 x) y)) x)))
918938533204673/1000000000000000
(+ 918938533204673/1000000000000000 (* -1 (* x (+ 1 (* -1 y)))))
(+ 918938533204673/1000000000000000 (* -1 (* x (+ 1 (* -1 y)))))
(+ 918938533204673/1000000000000000 (* -1 (* x (+ 1 (* -1 y)))))
(* -1 (* x (+ 1 (* -1 y))))
(* x (- (* 918938533204673/1000000000000000 (/ 1 x)) (+ 1 (* -1 y))))
(* x (- (* 918938533204673/1000000000000000 (/ 1 x)) (+ 1 (* -1 y))))
(* x (- (* 918938533204673/1000000000000000 (/ 1 x)) (+ 1 (* -1 y))))
(* -1 (* x (- 1 y)))
(* -1 (* x (- 1 (+ y (* 918938533204673/1000000000000000 (/ 1 x))))))
(* -1 (* x (- 1 (+ y (* 918938533204673/1000000000000000 (/ 1 x))))))
(* -1 (* x (- 1 (+ y (* 918938533204673/1000000000000000 (/ 1 x))))))
x
(+ x (* -1 (* x y)))
(+ x (* -1 (* x y)))
(+ x (* -1 (* x y)))
(* -1 (* x y))
(* y (+ (* -1 x) (/ x y)))
(* y (+ (* -1 x) (/ x y)))
(* y (+ (* -1 x) (/ x y)))
(* -1 (* x y))
(* -1 (* y (+ x (* -1 (/ x y)))))
(* -1 (* y (+ x (* -1 (/ x y)))))
(* -1 (* y (+ x (* -1 (/ x y)))))
(* x (+ 1 (* -1 y)))
(* x (+ 1 (* -1 y)))
(* x (+ 1 (* -1 y)))
(* x (+ 1 (* -1 y)))
(* x (+ 1 (* -1 y)))
(* x (+ 1 (* -1 y)))
(* x (+ 1 (* -1 y)))
(* x (+ 1 (* -1 y)))
(* -1 (* x (- y 1)))
(* -1 (* x (- y 1)))
(* -1 (* x (- y 1)))
(* -1 (* x (- y 1)))
(- 918938533204673/1000000000000000 x)
(- (+ 918938533204673/1000000000000000 (* -1/2 y)) x)
(- (+ 918938533204673/1000000000000000 (* -1/2 y)) x)
(- (+ 918938533204673/1000000000000000 (* -1/2 y)) x)
(* -1/2 y)
(* y (- (* 918938533204673/1000000000000000 (/ 1 y)) (+ 1/2 (/ x y))))
(* y (- (* 918938533204673/1000000000000000 (/ 1 y)) (+ 1/2 (/ x y))))
(* y (- (* 918938533204673/1000000000000000 (/ 1 y)) (+ 1/2 (/ x y))))
(* -1/2 y)
(* -1 (* y (+ 1/2 (* -1 (/ (- 918938533204673/1000000000000000 x) y)))))
(* -1 (* y (+ 1/2 (* -1 (/ (- 918938533204673/1000000000000000 x) y)))))
(* -1 (* y (+ 1/2 (* -1 (/ (- 918938533204673/1000000000000000 x) y)))))
(+ 918938533204673/1000000000000000 (* -1/2 y))
(+ 918938533204673/1000000000000000 (+ (* -1 x) (* -1/2 y)))
(+ 918938533204673/1000000000000000 (+ (* -1 x) (* -1/2 y)))
(+ 918938533204673/1000000000000000 (+ (* -1 x) (* -1/2 y)))
(* -1 x)
(* x (- (+ (* -1/2 (/ y x)) (* 918938533204673/1000000000000000 (/ 1 x))) 1))
(* x (- (+ (* -1/2 (/ y x)) (* 918938533204673/1000000000000000 (/ 1 x))) 1))
(* x (- (+ (* -1/2 (/ y x)) (* 918938533204673/1000000000000000 (/ 1 x))) 1))
(* -1 x)
(* -1 (* x (+ 1 (* -1 (/ (+ 918938533204673/1000000000000000 (* -1/2 y)) x)))))
(* -1 (* x (+ 1 (* -1 (/ (+ 918938533204673/1000000000000000 (* -1/2 y)) x)))))
(* -1 (* x (+ 1 (* -1 (/ (+ 918938533204673/1000000000000000 (* -1/2 y)) x)))))
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)))))
Outputs
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* 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)
(- 918938533204673/1000000000000000 x)
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)
(- (+ 918938533204673/1000000000000000 (* x y)) x)
(-.f64 (fma.f64 x y #s(literal 918938533204673/1000000000000000 binary64)) x)
(- (+ 918938533204673/1000000000000000 (* x y)) x)
(-.f64 (fma.f64 x y #s(literal 918938533204673/1000000000000000 binary64)) x)
(- (+ 918938533204673/1000000000000000 (* x y)) x)
(-.f64 (fma.f64 x y #s(literal 918938533204673/1000000000000000 binary64)) x)
(* x y)
(*.f64 x y)
(* y (- (* 918938533204673/1000000000000000 (/ 1 y)) (+ (* -1 x) (/ x y))))
(-.f64 (fma.f64 x y #s(literal 918938533204673/1000000000000000 binary64)) x)
(* y (- (* 918938533204673/1000000000000000 (/ 1 y)) (+ (* -1 x) (/ x y))))
(-.f64 (fma.f64 x y #s(literal 918938533204673/1000000000000000 binary64)) x)
(* y (- (* 918938533204673/1000000000000000 (/ 1 y)) (+ (* -1 x) (/ x y))))
(-.f64 (fma.f64 x y #s(literal 918938533204673/1000000000000000 binary64)) x)
(* x y)
(*.f64 x y)
(* -1 (* y (- (* -1 (/ (- 918938533204673/1000000000000000 x) y)) x)))
(-.f64 (fma.f64 x y #s(literal 918938533204673/1000000000000000 binary64)) x)
(* -1 (* y (- (* -1 (/ (- 918938533204673/1000000000000000 x) y)) x)))
(-.f64 (fma.f64 x y #s(literal 918938533204673/1000000000000000 binary64)) x)
(* -1 (* y (- (* -1 (/ (- 918938533204673/1000000000000000 x) y)) x)))
(-.f64 (fma.f64 x y #s(literal 918938533204673/1000000000000000 binary64)) x)
918938533204673/1000000000000000
#s(literal 918938533204673/1000000000000000 binary64)
(+ 918938533204673/1000000000000000 (* -1 (* x (+ 1 (* -1 y)))))
(-.f64 (fma.f64 x y #s(literal 918938533204673/1000000000000000 binary64)) x)
(+ 918938533204673/1000000000000000 (* -1 (* x (+ 1 (* -1 y)))))
(-.f64 (fma.f64 x y #s(literal 918938533204673/1000000000000000 binary64)) x)
(+ 918938533204673/1000000000000000 (* -1 (* x (+ 1 (* -1 y)))))
(-.f64 (fma.f64 x y #s(literal 918938533204673/1000000000000000 binary64)) x)
(* -1 (* x (+ 1 (* -1 y))))
(-.f64 (*.f64 x y) x)
(* x (- (* 918938533204673/1000000000000000 (/ 1 x)) (+ 1 (* -1 y))))
(-.f64 (fma.f64 x y #s(literal 918938533204673/1000000000000000 binary64)) x)
(* x (- (* 918938533204673/1000000000000000 (/ 1 x)) (+ 1 (* -1 y))))
(-.f64 (fma.f64 x y #s(literal 918938533204673/1000000000000000 binary64)) x)
(* x (- (* 918938533204673/1000000000000000 (/ 1 x)) (+ 1 (* -1 y))))
(-.f64 (fma.f64 x y #s(literal 918938533204673/1000000000000000 binary64)) x)
(* -1 (* x (- 1 y)))
(-.f64 (*.f64 x y) x)
(* -1 (* x (- 1 (+ y (* 918938533204673/1000000000000000 (/ 1 x))))))
(-.f64 (fma.f64 x y #s(literal 918938533204673/1000000000000000 binary64)) x)
(* -1 (* x (- 1 (+ y (* 918938533204673/1000000000000000 (/ 1 x))))))
(-.f64 (fma.f64 x y #s(literal 918938533204673/1000000000000000 binary64)) x)
(* -1 (* x (- 1 (+ y (* 918938533204673/1000000000000000 (/ 1 x))))))
(-.f64 (fma.f64 x y #s(literal 918938533204673/1000000000000000 binary64)) x)
x
(+ x (* -1 (* x y)))
(-.f64 x (*.f64 x y))
(+ x (* -1 (* x y)))
(-.f64 x (*.f64 x y))
(+ x (* -1 (* x y)))
(-.f64 x (*.f64 x y))
(* -1 (* x y))
(*.f64 x (neg.f64 y))
(* y (+ (* -1 x) (/ x y)))
(-.f64 x (*.f64 x y))
(* y (+ (* -1 x) (/ x y)))
(-.f64 x (*.f64 x y))
(* y (+ (* -1 x) (/ x y)))
(-.f64 x (*.f64 x y))
(* -1 (* x y))
(*.f64 x (neg.f64 y))
(* -1 (* y (+ x (* -1 (/ x y)))))
(-.f64 x (*.f64 x y))
(* -1 (* y (+ x (* -1 (/ x y)))))
(-.f64 x (*.f64 x y))
(* -1 (* y (+ x (* -1 (/ x y)))))
(-.f64 x (*.f64 x y))
(* x (+ 1 (* -1 y)))
(-.f64 x (*.f64 x y))
(* x (+ 1 (* -1 y)))
(-.f64 x (*.f64 x y))
(* x (+ 1 (* -1 y)))
(-.f64 x (*.f64 x y))
(* x (+ 1 (* -1 y)))
(-.f64 x (*.f64 x y))
(* x (+ 1 (* -1 y)))
(-.f64 x (*.f64 x y))
(* x (+ 1 (* -1 y)))
(-.f64 x (*.f64 x y))
(* x (+ 1 (* -1 y)))
(-.f64 x (*.f64 x y))
(* x (+ 1 (* -1 y)))
(-.f64 x (*.f64 x y))
(* -1 (* x (- y 1)))
(-.f64 x (*.f64 x y))
(* -1 (* x (- y 1)))
(-.f64 x (*.f64 x y))
(* -1 (* x (- y 1)))
(-.f64 x (*.f64 x y))
(* -1 (* x (- y 1)))
(-.f64 x (*.f64 x y))
(- 918938533204673/1000000000000000 x)
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)
(- (+ 918938533204673/1000000000000000 (* -1/2 y)) x)
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y #s(literal 1/2 binary64) x))
(- (+ 918938533204673/1000000000000000 (* -1/2 y)) x)
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y #s(literal 1/2 binary64) x))
(- (+ 918938533204673/1000000000000000 (* -1/2 y)) x)
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y #s(literal 1/2 binary64) x))
(* -1/2 y)
(*.f64 y #s(literal -1/2 binary64))
(* y (- (* 918938533204673/1000000000000000 (/ 1 y)) (+ 1/2 (/ x y))))
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y #s(literal 1/2 binary64) x))
(* y (- (* 918938533204673/1000000000000000 (/ 1 y)) (+ 1/2 (/ x y))))
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y #s(literal 1/2 binary64) x))
(* y (- (* 918938533204673/1000000000000000 (/ 1 y)) (+ 1/2 (/ x y))))
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y #s(literal 1/2 binary64) x))
(* -1/2 y)
(*.f64 y #s(literal -1/2 binary64))
(* -1 (* y (+ 1/2 (* -1 (/ (- 918938533204673/1000000000000000 x) y)))))
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y #s(literal 1/2 binary64) x))
(* -1 (* y (+ 1/2 (* -1 (/ (- 918938533204673/1000000000000000 x) y)))))
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y #s(literal 1/2 binary64) x))
(* -1 (* y (+ 1/2 (* -1 (/ (- 918938533204673/1000000000000000 x) y)))))
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y #s(literal 1/2 binary64) x))
(+ 918938533204673/1000000000000000 (* -1/2 y))
(fma.f64 y #s(literal -1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64))
(+ 918938533204673/1000000000000000 (+ (* -1 x) (* -1/2 y)))
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y #s(literal 1/2 binary64) x))
(+ 918938533204673/1000000000000000 (+ (* -1 x) (* -1/2 y)))
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y #s(literal 1/2 binary64) x))
(+ 918938533204673/1000000000000000 (+ (* -1 x) (* -1/2 y)))
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y #s(literal 1/2 binary64) x))
(* -1 x)
(neg.f64 x)
(* x (- (+ (* -1/2 (/ y x)) (* 918938533204673/1000000000000000 (/ 1 x))) 1))
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y #s(literal 1/2 binary64) x))
(* x (- (+ (* -1/2 (/ y x)) (* 918938533204673/1000000000000000 (/ 1 x))) 1))
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y #s(literal 1/2 binary64) x))
(* x (- (+ (* -1/2 (/ y x)) (* 918938533204673/1000000000000000 (/ 1 x))) 1))
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y #s(literal 1/2 binary64) x))
(* -1 x)
(neg.f64 x)
(* -1 (* x (+ 1 (* -1 (/ (+ 918938533204673/1000000000000000 (* -1/2 y)) x)))))
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y #s(literal 1/2 binary64) x))
(* -1 (* x (+ 1 (* -1 (/ (+ 918938533204673/1000000000000000 (* -1/2 y)) x)))))
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y #s(literal 1/2 binary64) x))
(* -1 (* x (+ 1 (* -1 (/ (+ 918938533204673/1000000000000000 (* -1/2 y)) x)))))
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y #s(literal 1/2 binary64) x))
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))

eval56.0ms (0.7%)

Memory
-7.6MiB live, 109.4MiB allocated
Compiler

Compiled 10 083 to 1 018 computations (89.9% saved)

prune49.0ms (0.6%)

Memory
30.1MiB live, 114.2MiB allocated
Pruning

11 alts after pruning (1 fresh and 10 done)

PrunedKeptTotal
New4581459
Fresh000
Picked224
Done088
Total46011471
Accuracy
100.0%
Counts
471 → 11
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓55.6%
(fma.f64 y x (*.f64 y #s(literal -1/2 binary64)))
✓47.8%
(fma.f64 y x (neg.f64 x))
✓52.4%
(fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64))
70.6%
(-.f64 (fma.f64 x y #s(literal 918938533204673/1000000000000000 binary64)) x)
✓100.0%
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x))
✓46.5%
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)
✓55.6%
(*.f64 y (+.f64 #s(literal -1/2 binary64) x))
✓26.5%
(*.f64 y x)
✓30.8%
(*.f64 y #s(literal -1/2 binary64))
✓23.6%
(neg.f64 x)
✓24.0%
#s(literal 918938533204673/1000000000000000 binary64)
Compiler

Compiled 167 to 84 computations (49.7% saved)

regimes29.0ms (0.4%)

Memory
-28.5MiB live, 48.3MiB allocated
Counts
18 → 1
Calls
Call 1
Inputs
#s(literal 918938533204673/1000000000000000 binary64)
(neg.f64 x)
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)
(*.f64 y #s(literal -1/2 binary64))
(*.f64 y x)
(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 #s(literal 1/2 binary64) x))
(-.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64)) x)
(-.f64 (fma.f64 x y #s(literal 918938533204673/1000000000000000 binary64)) x)
(+.f64 (-.f64 (*.f64 y x) x) #s(literal 918938533204673/1000000000000000 binary64))
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y (neg.f64 x) x))
(fma.f64 y x (*.f64 y #s(literal -1/2 binary64)))
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x))
(fma.f64 (+.f64 y #s(literal -1 binary64)) x (fma.f64 y #s(literal -1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64)))
(+.f64 (-.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 y #s(literal 1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64))
Outputs
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x))
Calls

4 calls:

8.0ms
x
8.0ms
(-.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 y #s(literal 1/2 binary64)))
6.0ms
y
6.0ms
(+.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)

regimes24.0ms (0.3%)

Memory
10.4MiB live, 48.7MiB allocated
Counts
15 → 3
Calls
Call 1
Inputs
#s(literal 918938533204673/1000000000000000 binary64)
(neg.f64 x)
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)
(*.f64 y #s(literal -1/2 binary64))
(*.f64 y x)
(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 #s(literal 1/2 binary64) x))
(-.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64)) x)
(-.f64 (fma.f64 x y #s(literal 918938533204673/1000000000000000 binary64)) x)
(+.f64 (-.f64 (*.f64 y x) x) #s(literal 918938533204673/1000000000000000 binary64))
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y (neg.f64 x) x))
(fma.f64 y x (*.f64 y #s(literal -1/2 binary64)))
Outputs
(*.f64 y (+.f64 #s(literal -1/2 binary64) x))
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y (neg.f64 x) x))
(fma.f64 y x (*.f64 y #s(literal -1/2 binary64)))
Calls

4 calls:

8.0ms
x
5.0ms
y
5.0ms
(-.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 y #s(literal 1/2 binary64)))
5.0ms
(+.f64 (-.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 y #s(literal 1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64))
Results
AccuracySegmentsBranch
98.6%3x
99.4%3y
88.3%3(+.f64 (-.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 y #s(literal 1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64))
88.3%3(-.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 y #s(literal 1/2 binary64)))
Compiler

Compiled 30 to 22 computations (26.7% saved)

regimes6.0ms (0.1%)

Memory
15.8MiB live, 15.8MiB allocated
Counts
14 → 3
Calls
Call 1
Inputs
#s(literal 918938533204673/1000000000000000 binary64)
(neg.f64 x)
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)
(*.f64 y #s(literal -1/2 binary64))
(*.f64 y x)
(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 #s(literal 1/2 binary64) x))
(-.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64)) x)
(-.f64 (fma.f64 x y #s(literal 918938533204673/1000000000000000 binary64)) x)
(+.f64 (-.f64 (*.f64 y x) x) #s(literal 918938533204673/1000000000000000 binary64))
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y (neg.f64 x) x))
Outputs
(*.f64 y (+.f64 #s(literal -1/2 binary64) x))
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y (neg.f64 x) x))
(*.f64 y (+.f64 #s(literal -1/2 binary64) x))
Calls

1 calls:

5.0ms
y
Results
AccuracySegmentsBranch
99.4%3y
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes7.0ms (0.1%)

Memory
-26.6MiB live, 16.2MiB allocated
Counts
13 → 3
Calls
Call 1
Inputs
#s(literal 918938533204673/1000000000000000 binary64)
(neg.f64 x)
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)
(*.f64 y #s(literal -1/2 binary64))
(*.f64 y x)
(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 #s(literal 1/2 binary64) x))
(-.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64)) x)
(-.f64 (fma.f64 x y #s(literal 918938533204673/1000000000000000 binary64)) x)
(+.f64 (-.f64 (*.f64 y x) x) #s(literal 918938533204673/1000000000000000 binary64))
Outputs
(*.f64 y (+.f64 #s(literal -1/2 binary64) x))
(-.f64 (fma.f64 x y #s(literal 918938533204673/1000000000000000 binary64)) x)
(*.f64 y (+.f64 #s(literal -1/2 binary64) x))
Calls

1 calls:

6.0ms
y
Results
AccuracySegmentsBranch
99.4%3y
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes5.0ms (0.1%)

Memory
14.6MiB live, 14.6MiB allocated
Counts
11 → 3
Calls
Call 1
Inputs
#s(literal 918938533204673/1000000000000000 binary64)
(neg.f64 x)
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)
(*.f64 y #s(literal -1/2 binary64))
(*.f64 y x)
(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 #s(literal 1/2 binary64) x))
(-.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64)) x)
Outputs
(*.f64 y (+.f64 #s(literal -1/2 binary64) x))
(-.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64)) x)
(*.f64 y (+.f64 #s(literal -1/2 binary64) x))
Calls

1 calls:

4.0ms
y
Results
AccuracySegmentsBranch
98.7%3y
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes4.0ms (0.1%)

Memory
13.9MiB live, 13.9MiB allocated
Counts
10 → 3
Calls
Call 1
Inputs
#s(literal 918938533204673/1000000000000000 binary64)
(neg.f64 x)
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)
(*.f64 y #s(literal -1/2 binary64))
(*.f64 y x)
(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 #s(literal 1/2 binary64) x))
Outputs
(*.f64 y (+.f64 #s(literal -1/2 binary64) x))
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y #s(literal 1/2 binary64) x))
(*.f64 y (+.f64 #s(literal -1/2 binary64) x))
Calls

1 calls:

4.0ms
y
Results
AccuracySegmentsBranch
98.7%3y
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes9.0ms (0.1%)

Memory
-18.5MiB live, 20.6MiB allocated
Counts
9 → 3
Calls
Call 1
Inputs
#s(literal 918938533204673/1000000000000000 binary64)
(neg.f64 x)
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)
(*.f64 y #s(literal -1/2 binary64))
(*.f64 y x)
(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
(*.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:

5.0ms
y
4.0ms
x
Results
AccuracySegmentsBranch
96.7%3x
98.5%3y
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes13.0ms (0.2%)

Memory
-6.0MiB live, 33.3MiB allocated
Counts
6 → 6
Calls
Call 1
Inputs
#s(literal 918938533204673/1000000000000000 binary64)
(neg.f64 x)
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)
(*.f64 y #s(literal -1/2 binary64))
(*.f64 y x)
(fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64))
Outputs
(neg.f64 x)
(*.f64 y x)
(fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64))
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)
(*.f64 y x)
(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))
3.0ms
y
3.0ms
(-.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 y #s(literal 1/2 binary64)))
3.0ms
x
Results
AccuracySegmentsBranch
68.5%4(+.f64 (-.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 y #s(literal 1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64))
68.5%4(-.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 y #s(literal 1/2 binary64)))
82.8%6x
78.3%5y
Compiler

Compiled 30 to 22 computations (26.7% saved)

regimes6.0ms (0.1%)

Memory
15.8MiB live, 15.8MiB allocated
Counts
5 → 5
Calls
Call 1
Inputs
#s(literal 918938533204673/1000000000000000 binary64)
(neg.f64 x)
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)
(*.f64 y #s(literal -1/2 binary64))
(*.f64 y x)
Outputs
(*.f64 y #s(literal -1/2 binary64))
(*.f64 y x)
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)
(*.f64 y #s(literal -1/2 binary64))
(*.f64 y x)
Calls

2 calls:

3.0ms
x
2.0ms
y
Results
AccuracySegmentsBranch
78.0%5y
68.5%7x
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes3.0ms (0%)

Memory
8.3MiB live, 8.3MiB allocated
Counts
4 → 3
Calls
Call 1
Inputs
#s(literal 918938533204673/1000000000000000 binary64)
(neg.f64 x)
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)
(*.f64 y #s(literal -1/2 binary64))
Outputs
(*.f64 y #s(literal -1/2 binary64))
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)
(*.f64 y #s(literal -1/2 binary64))
Calls

1 calls:

2.0ms
y
Results
AccuracySegmentsBranch
74.1%3y
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes9.0ms (0.1%)

Memory
-12.5MiB live, 26.9MiB allocated
Counts
3 → 1
Calls
Call 1
Inputs
#s(literal 918938533204673/1000000000000000 binary64)
(neg.f64 x)
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)
Outputs
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)
Calls

4 calls:

3.0ms
(-.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 y #s(literal 1/2 binary64)))
2.0ms
y
2.0ms
(+.f64 (-.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 y #s(literal 1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64))
2.0ms
x
Results
AccuracySegmentsBranch
46.5%1x
46.5%1(+.f64 (-.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 y #s(literal 1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64))
46.5%1(-.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 y #s(literal 1/2 binary64)))
46.5%1y
Compiler

Compiled 30 to 22 computations (26.7% saved)

regimes11.0ms (0.1%)

Memory
-23.0MiB live, 21.9MiB allocated
Counts
2 → 3
Calls
Call 1
Inputs
#s(literal 918938533204673/1000000000000000 binary64)
(neg.f64 x)
Outputs
(neg.f64 x)
#s(literal 918938533204673/1000000000000000 binary64)
(neg.f64 x)
Calls

4 calls:

6.0ms
x
2.0ms
(-.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 y #s(literal 1/2 binary64)))
2.0ms
y
2.0ms
(+.f64 (-.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 y #s(literal 1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64))
Results
AccuracySegmentsBranch
44.6%3x
28.8%3y
44.4%3(+.f64 (-.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 y #s(literal 1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64))
44.4%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)

regimes6.0ms (0.1%)

Memory
17.1MiB live, 17.1MiB allocated
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

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

4 calls:

1.0ms
(-.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 y #s(literal 1/2 binary64)))
1.0ms
y
1.0ms
(+.f64 (-.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 y #s(literal 1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64))
1.0ms
x
Results
AccuracySegmentsBranch
24.0%1y
24.0%1(+.f64 (-.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 y #s(literal 1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64))
24.0%1(-.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 y #s(literal 1/2 binary64)))
24.0%1x
Compiler

Compiled 30 to 22 computations (26.7% saved)

bsearch29.0ms (0.4%)

Memory
-14.4MiB live, 64.0MiB allocated
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
14.0ms
47295453422.60834
533085364324861200.0
11.0ms
-868432445.3640971
-90937499.31013557
Samples
17.0ms240×0valid
Compiler

Compiled 295 to 210 computations (28.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 11.0ms
const: 4.0ms (37.4% of total)
ival-mult: 3.0ms (28% of total)
ival-sub: 2.0ms (18.7% of total)
ival-add: 1.0ms (9.3% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch28.0ms (0.3%)

Memory
25.0MiB live, 64.0MiB allocated
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
16.0ms
47295453422.60834
533085364324861200.0
10.0ms
-868432445.3640971
-90937499.31013557
Samples
17.0ms240×0valid
Compiler

Compiled 286 to 210 computations (26.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 11.0ms
const: 4.0ms (37.9% of total)
ival-mult: 3.0ms (28.4% of total)
ival-sub: 2.0ms (18.9% of total)
ival-add: 1.0ms (9.5% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch30.0ms (0.4%)

Memory
-23.3MiB live, 56.3MiB allocated
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
14.0ms
47295453422.60834
533085364324861200.0
12.0ms
-868432445.3640971
-90937499.31013557
Samples
18.0ms240×0valid
Compiler

Compiled 271 to 195 computations (28% saved)

Precisions
Click to see histograms. Total time spent on operations: 12.0ms
const: 6.0ms (48.1% of total)
ival-mult: 3.0ms (24% of total)
ival-sub: 2.0ms (16% of total)
ival-add: 1.0ms (8% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch36.0ms (0.4%)

Memory
38.8MiB live, 73.3MiB allocated
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
19.0ms
0.0005265642621346305
2013623104.412019
15.0ms
-9220.093474452206
-0.0002476224075649498
Samples
23.0ms304×0valid
Compiler

Compiled 339 to 262 computations (22.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 13.0ms
const: 5.0ms (37.1% of total)
ival-mult: 4.0ms (29.6% of total)
ival-sub: 3.0ms (22.2% of total)
ival-add: 1.0ms (7.4% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch278.0ms (3.4%)

Memory
-190.4MiB live, 75.7MiB allocated
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
255.0ms
0.0005265642621346305
2013623104.412019
20.0ms
-9220.093474452206
-0.0002476224075649498
Samples
265.0ms304×0valid
Compiler

Compiled 339 to 262 computations (22.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 19.0ms
const: 10.0ms (51.4% of total)
ival-mult: 4.0ms (20.6% of total)
ival-sub: 3.0ms (15.4% of total)
ival-add: 1.0ms (5.1% of total)
exact: 1.0ms (5.1% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch42.0ms (0.5%)

Memory
-8.8MiB live, 72.2MiB allocated
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
19.0ms
0.0005265642621346305
2013623104.412019
20.0ms
-9220.093474452206
-0.0002476224075649498
Samples
23.0ms304×0valid
Compiler

Compiled 282 to 224 computations (20.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 13.0ms
const: 5.0ms (37.4% of total)
ival-mult: 4.0ms (29.9% of total)
ival-sub: 3.0ms (22.4% of total)
ival-add: 1.0ms (7.5% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch89.0ms (1.1%)

Memory
5.2MiB live, 163.7MiB allocated
Algorithm
5×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
1×narrow-enough
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
14.0ms
4.722333166720243e+237
5.566421384641724e+239
17.0ms
8.157134000150005e+122
7.218236946205062e+131
14.0ms
3.9271421851707916e-14
4.878232234709849e-7
18.0ms
-14562604093553976.0
-528554144.7152847
18.0ms
-2.9486277942465966e+200
-6.835826445158767e+191
Samples
50.0ms688×0valid
Compiler

Compiled 534 to 413 computations (22.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 34.0ms
const: 11.0ms (32.1% of total)
ival-sub: 10.0ms (29.2% of total)
ival-mult: 8.0ms (23.4% of total)
ival-add: 3.0ms (8.8% of total)
exact: 1.0ms (2.9% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch80.0ms (1%)

Memory
-7.8MiB live, 118.8MiB allocated
Algorithm
4×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
14.0ms
1.96627784022877e+277
1.6823375860997967e+281
16.0ms
0.0005265642621346305
2013623104.412019
24.0ms
-9220.093474452206
-0.0002476224075649498
20.0ms
-5.1484730037744515e+120
-1.3176092344075836e+110
Samples
50.0ms592×0valid
Compiler

Compiled 460 to 358 computations (22.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 36.0ms
ival-sub: 16.0ms (43.9% of total)
const: 9.0ms (24.7% of total)
ival-mult: 7.0ms (19.2% of total)
ival-add: 3.0ms (8.2% of total)
exact: 1.0ms (2.7% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch31.0ms (0.4%)

Memory
-12.2MiB live, 65.5MiB allocated
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
17.0ms
0.0005265642621346305
2013623104.412019
11.0ms
-868432445.3640971
-90937499.31013557
Samples
19.0ms256×0valid
Compiler

Compiled 208 to 175 computations (15.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 11.0ms
const: 4.0ms (35.1% of total)
ival-mult: 3.0ms (26.3% of total)
ival-sub: 2.0ms (17.5% of total)
ival-add: 1.0ms (8.8% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch30.0ms (0.4%)

Memory
16.6MiB live, 58.6MiB allocated
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
14.0ms
0.0019399538034054042
10.658497468287788
13.0ms
-59.3524180800234
-0.09661279939489793
Samples
17.0ms256×0valid
Compiler

Compiled 160 to 143 computations (10.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 11.0ms
const: 4.0ms (35.7% of total)
ival-sub: 3.0ms (26.8% of total)
ival-mult: 3.0ms (26.8% of total)
ival-add: 1.0ms (8.9% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

simplify14.0ms (0.2%)

Memory
-10.4MiB live, 28.6MiB allocated
Algorithm
1×egg-herbie
Rules
24×+-commutative_binary64
22×sub-neg_binary64
14×*-commutative_binary64
14×if-if-or-not_binary32
8×neg-sub0_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
088231
1125231
2140231
3147231
4150231
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 y #s(literal -160000000 binary64)) (*.f64 y (+.f64 #s(literal -1/2 binary64) x)) (if (<=.f64 y #s(literal 48000000000 binary64)) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y (neg.f64 x) x)) (fma.f64 y x (*.f64 y #s(literal -1/2 binary64)))))
(if (<=.f64 y #s(literal -140000000 binary64)) (*.f64 y (+.f64 #s(literal -1/2 binary64) x)) (if (<=.f64 y #s(literal 48000000000 binary64)) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y (neg.f64 x) x)) (*.f64 y (+.f64 #s(literal -1/2 binary64) x))))
(if (<=.f64 y #s(literal -100000000 binary64)) (*.f64 y (+.f64 #s(literal -1/2 binary64) x)) (if (<=.f64 y #s(literal 48000000000 binary64)) (-.f64 (fma.f64 x y #s(literal 918938533204673/1000000000000000 binary64)) x) (*.f64 y (+.f64 #s(literal -1/2 binary64) x))))
(if (<=.f64 y #s(literal -9000 binary64)) (*.f64 y (+.f64 #s(literal -1/2 binary64) x)) (if (<=.f64 y #s(literal 7600000 binary64)) (-.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64)) x) (*.f64 y (+.f64 #s(literal -1/2 binary64) x))))
(if (<=.f64 y #s(literal -9000 binary64)) (*.f64 y (+.f64 #s(literal -1/2 binary64) x)) (if (<=.f64 y #s(literal 190000 binary64)) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y #s(literal 1/2 binary64) x)) (*.f64 y (+.f64 #s(literal -1/2 binary64) x))))
(if (<=.f64 y #s(literal -3/2 binary64)) (*.f64 y (+.f64 #s(literal -1/2 binary64) x)) (if (<=.f64 y #s(literal 4165829655317709/2251799813685248 binary64)) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) (*.f64 y (+.f64 #s(literal -1/2 binary64) x))))
(if (<=.f64 x #s(literal -6000000000000000370782245804499952594018754467297514181671347493134011033555148260471482559568707560810653100796890040135830809758457765038805613621649921658162193381258244930255430467178975524290560 binary64)) (neg.f64 x) (if (<=.f64 x #s(literal -540000000 binary64)) (*.f64 y x) (if (<=.f64 x #s(literal 5100155801499217/18889465931478580854784 binary64)) (fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64)) (if (<=.f64 x #s(literal 9500000000000000444807973973757596720789825426772393032425356303201386958125157501227151788084488172603815846116745986776877760512 binary64)) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) (if (<=.f64 x #s(literal 6499999999999999882440838579140049231768181352350346043059990897919815441411990975004964610140494206303396049960413357848667847621159436205339304596807147109099754246408083829091778941280397826391391570490567696991097050341870459821228032 binary64)) (*.f64 y x) (neg.f64 x))))))
(if (<=.f64 y #s(literal -23499999999999998598347693417797176177320933316606880478828708478408945225349109047485133309907869055792200565766750208 binary64)) (*.f64 y #s(literal -1/2 binary64)) (if (<=.f64 y #s(literal -120 binary64)) (*.f64 y x) (if (<=.f64 y #s(literal 4165829655317709/2251799813685248 binary64)) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) (if (<=.f64 y #s(literal 239999999999999984943886910077454661284376138098130565592083063114320814742524468695764700165950376805479806741947243286937752032008132388002976316218258724414731153680807613506471362004476807319814877856896580052934398212275642632073630757483080971028474284041661194345272836096 binary64)) (*.f64 y #s(literal -1/2 binary64)) (*.f64 y x)))))
(if (<=.f64 y #s(literal -92000000 binary64)) (*.f64 y #s(literal -1/2 binary64)) (if (<=.f64 y #s(literal 4165829655317709/2251799813685248 binary64)) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) (*.f64 y #s(literal -1/2 binary64))))
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)
(if (<=.f64 x #s(literal -8286623314361713/9007199254740992 binary64)) (neg.f64 x) (if (<=.f64 x #s(literal 8286623314361713/9007199254740992 binary64)) #s(literal 918938533204673/1000000000000000 binary64) (neg.f64 x)))
#s(literal 918938533204673/1000000000000000 binary64)
Outputs
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x))
(if (<=.f64 y #s(literal -160000000 binary64)) (*.f64 y (+.f64 #s(literal -1/2 binary64) x)) (if (<=.f64 y #s(literal 48000000000 binary64)) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y (neg.f64 x) x)) (fma.f64 y x (*.f64 y #s(literal -1/2 binary64)))))
(if (<=.f64 y #s(literal -160000000 binary64)) (*.f64 y (+.f64 x #s(literal -1/2 binary64))) (if (<=.f64 y #s(literal 48000000000 binary64)) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y (neg.f64 x) x)) (fma.f64 y x (*.f64 y #s(literal -1/2 binary64)))))
(if (<=.f64 y #s(literal -140000000 binary64)) (*.f64 y (+.f64 #s(literal -1/2 binary64) x)) (if (<=.f64 y #s(literal 48000000000 binary64)) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y (neg.f64 x) x)) (*.f64 y (+.f64 #s(literal -1/2 binary64) x))))
(if (<=.f64 y #s(literal -140000000 binary64)) (*.f64 y (+.f64 x #s(literal -1/2 binary64))) (if (<=.f64 y #s(literal 48000000000 binary64)) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y (neg.f64 x) x)) (*.f64 y (+.f64 x #s(literal -1/2 binary64)))))
(if (<=.f64 y #s(literal -100000000 binary64)) (*.f64 y (+.f64 #s(literal -1/2 binary64) x)) (if (<=.f64 y #s(literal 48000000000 binary64)) (-.f64 (fma.f64 x y #s(literal 918938533204673/1000000000000000 binary64)) x) (*.f64 y (+.f64 #s(literal -1/2 binary64) x))))
(if (<=.f64 y #s(literal -100000000 binary64)) (*.f64 y (+.f64 x #s(literal -1/2 binary64))) (if (<=.f64 y #s(literal 48000000000 binary64)) (-.f64 (fma.f64 x y #s(literal 918938533204673/1000000000000000 binary64)) x) (*.f64 y (+.f64 x #s(literal -1/2 binary64)))))
(if (<=.f64 y #s(literal -9000 binary64)) (*.f64 y (+.f64 #s(literal -1/2 binary64) x)) (if (<=.f64 y #s(literal 7600000 binary64)) (-.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64)) x) (*.f64 y (+.f64 #s(literal -1/2 binary64) x))))
(if (<=.f64 y #s(literal -9000 binary64)) (*.f64 y (+.f64 x #s(literal -1/2 binary64))) (if (<=.f64 y #s(literal 7600000 binary64)) (-.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64)) x) (*.f64 y (+.f64 x #s(literal -1/2 binary64)))))
(if (<=.f64 y #s(literal -9000 binary64)) (*.f64 y (+.f64 #s(literal -1/2 binary64) x)) (if (<=.f64 y #s(literal 190000 binary64)) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y #s(literal 1/2 binary64) x)) (*.f64 y (+.f64 #s(literal -1/2 binary64) x))))
(if (<=.f64 y #s(literal -9000 binary64)) (*.f64 y (+.f64 x #s(literal -1/2 binary64))) (if (<=.f64 y #s(literal 190000 binary64)) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y #s(literal 1/2 binary64) x)) (*.f64 y (+.f64 x #s(literal -1/2 binary64)))))
(if (<=.f64 y #s(literal -3/2 binary64)) (*.f64 y (+.f64 #s(literal -1/2 binary64) x)) (if (<=.f64 y #s(literal 4165829655317709/2251799813685248 binary64)) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) (*.f64 y (+.f64 #s(literal -1/2 binary64) x))))
(if (<=.f64 y #s(literal -3/2 binary64)) (*.f64 y (+.f64 x #s(literal -1/2 binary64))) (if (<=.f64 y #s(literal 4165829655317709/2251799813685248 binary64)) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) (*.f64 y (+.f64 x #s(literal -1/2 binary64)))))
(if (<=.f64 x #s(literal -6000000000000000370782245804499952594018754467297514181671347493134011033555148260471482559568707560810653100796890040135830809758457765038805613621649921658162193381258244930255430467178975524290560 binary64)) (neg.f64 x) (if (<=.f64 x #s(literal -540000000 binary64)) (*.f64 y x) (if (<=.f64 x #s(literal 5100155801499217/18889465931478580854784 binary64)) (fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64)) (if (<=.f64 x #s(literal 9500000000000000444807973973757596720789825426772393032425356303201386958125157501227151788084488172603815846116745986776877760512 binary64)) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) (if (<=.f64 x #s(literal 6499999999999999882440838579140049231768181352350346043059990897919815441411990975004964610140494206303396049960413357848667847621159436205339304596807147109099754246408083829091778941280397826391391570490567696991097050341870459821228032 binary64)) (*.f64 y x) (neg.f64 x))))))
(if (<=.f64 y #s(literal -23499999999999998598347693417797176177320933316606880478828708478408945225349109047485133309907869055792200565766750208 binary64)) (*.f64 y #s(literal -1/2 binary64)) (if (<=.f64 y #s(literal -120 binary64)) (*.f64 y x) (if (<=.f64 y #s(literal 4165829655317709/2251799813685248 binary64)) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) (if (<=.f64 y #s(literal 239999999999999984943886910077454661284376138098130565592083063114320814742524468695764700165950376805479806741947243286937752032008132388002976316218258724414731153680807613506471362004476807319814877856896580052934398212275642632073630757483080971028474284041661194345272836096 binary64)) (*.f64 y #s(literal -1/2 binary64)) (*.f64 y x)))))
(if (<=.f64 y #s(literal -92000000 binary64)) (*.f64 y #s(literal -1/2 binary64)) (if (<=.f64 y #s(literal 4165829655317709/2251799813685248 binary64)) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) (*.f64 y #s(literal -1/2 binary64))))
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)
(if (<=.f64 x #s(literal -8286623314361713/9007199254740992 binary64)) (neg.f64 x) (if (<=.f64 x #s(literal 8286623314361713/9007199254740992 binary64)) #s(literal 918938533204673/1000000000000000 binary64) (neg.f64 x)))
#s(literal 918938533204673/1000000000000000 binary64)

soundness1.9s (22.9%)

Memory
20.7MiB live, 850.7MiB allocated
Rules
11 900×accelerator-lowering-fma.f32
11 900×accelerator-lowering-fma.f64
8 060×accelerator-lowering-fma.f32
8 060×accelerator-lowering-fma.f64
5 934×accelerator-lowering-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01643
111143
290943
0843040
074533
1237533
2621533
31531533
44006533
55535533
67941533
08074496
075575
1231554
2610552
31530552
43999552
55534552
67861552
08582506
0103808
1324808
2893785
32674785
45829785
57235785
08101739
076593
1232592
2695520
31796520
46373520
08167501
Stop Event
1×fuel
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
Compiler

Compiled 475 to 250 computations (47.4% saved)

preprocess96.0ms (1.2%)

Memory
-0.9MiB live, 152.2MiB allocated
Compiler

Compiled 538 to 196 computations (63.6% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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