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

Time bar (total: 6.5s)

analyze0.0ms (0%)

Memory
0.8MiB live, 0.8MiB 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)

sample940.0ms (14.4%)

Memory
32.2MiB live, 2 092.2MiB allocated
Samples
689.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 404.0ms
const: 146.0ms (36.1% of total)
ival-mult: 114.0ms (28.2% of total)
ival-sub: 89.0ms (22% of total)
ival-add: 38.0ms (9.4% of total)
exact: 8.0ms (2% of total)
ival-true: 6.0ms (1.5% of total)
ival-assert: 4.0ms (1% of total)
Bogosity

preprocess147.0ms (2.3%)

Memory
-11.3MiB live, 147.4MiB 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))

explain127.0ms (1.9%)

Memory
-17.3MiB live, 267.1MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-(-.f64 y #s(literal 1 binary64))
00-0-#s(literal 1 binary64)
00-0-(+.f64 (-.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 y #s(literal 1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64))
00-0-(-.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 y #s(literal 1/2 binary64)))
00-0-#s(literal 918938533204673/1000000000000000 binary64)
00-0-(*.f64 x (-.f64 y #s(literal 1 binary64)))
00-0-y
00-0-(*.f64 y #s(literal 1/2 binary64))
00-0-#s(literal 1/2 binary64)
00-0-x
Confusion
Predicted +Predicted -
+00
-0256
Precision
0/0
Recall
0/0
Confusion?
Predicted +Predicted MaybePredicted -
+000
-00256
Precision?
0/0
Recall?
0/0
Freqs
test
numberfreq
0256
Total Confusion?
Predicted +Predicted MaybePredicted -
+000
-001
Precision?
0/0
Recall?
0/0
Samples
51.0ms512×0valid
Compiler

Compiled 102 to 44 computations (56.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 25.0ms
const: 9.0ms (36.6% of total)
ival-mult: 7.0ms (28.5% of total)
ival-sub: 5.0ms (20.3% of total)
ival-add: 2.0ms (8.1% of total)
exact: 1.0ms (4.1% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

eval0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated
Compiler

Compiled 2 to 2 computations (0% saved)

prune1.0ms (0%)

Memory
1.6MiB 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)

simplify60.0ms (0.9%)

Memory
4.7MiB live, 81.0MiB 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)

localize39.0ms (0.6%)

Memory
-13.0MiB live, 68.9MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(+.f64 (-.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 y #s(literal 1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64))
✓accuracy100.0%
(*.f64 y #s(literal 1/2 binary64))
✓accuracy100.0%
(*.f64 x (-.f64 y #s(literal 1 binary64)))
✓accuracy100.0%
(-.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 y #s(literal 1/2 binary64)))
Samples
25.0ms256×0valid
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 (30% of total)
const: 4.0ms (30% of total)
ival-mult: 3.0ms (22.5% 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)

series6.0ms (0.1%)

Memory
12.1MiB live, 12.1MiB 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))

rewrite345.0ms (5.3%)

Memory
-11.9MiB live, 588.4MiB 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)))
(fma.f64 (fma.f64 y (*.f64 y y) #s(literal -1 binary64)) (/.f64 x (+.f64 y (fma.f64 y y #s(literal 1 binary64)))) (*.f64 y #s(literal -1/2 binary64)))
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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))

simplify325.0ms (5%)

Memory
41.1MiB live, 270.8MiB 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))

eval158.0ms (2.4%)

Memory
-13.4MiB live, 105.2MiB allocated
Compiler

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

prune126.0ms (1.9%)

Memory
-21.5MiB live, 128.9MiB allocated
Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New4746480
Fresh000
Picked101
Done000
Total4756481
Accuracy
100.0%
Counts
481 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶100.0%
(fma.f64 (+.f64 y #s(literal -1 binary64)) x (fma.f64 y #s(literal -1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64)))
▶51.6%
(fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64))
▶50.2%
(-.f64 (*.f64 y x) x)
100.0%
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x))
▶48.4%
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)
▶53.7%
(*.f64 y (+.f64 #s(literal -1/2 binary64) x))
Compiler

Compiled 92 to 66 computations (28.3% saved)

simplify67.0ms (1%)

Memory
3.1MiB live, 42.4MiB 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
(fma.f64 y #s(literal -1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64))
✓cost-diff0
(+.f64 y #s(literal -1 binary64))
✓cost-diff192
(fma.f64 (+.f64 y #s(literal -1 binary64)) x (fma.f64 y #s(literal -1/2 binary64) #s(literal 918938533204673/1000000000000000 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
01758
13258
24856
310456
421556
538556
670756
7103356
8124356
9130356
10131956
0131953
Stop Event
1×iter limit
1×saturated
Calls
Call 1
Inputs
(+ (* (+ y -1) x) (+ (* y -1/2) 918938533204673/1000000000000000))
(+ y -1)
y
-1
x
(+ (* y -1/2) 918938533204673/1000000000000000)
-1/2
918938533204673/1000000000000000
(- 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
(+ (* (+ y -1) x) (+ (* y -1/2) 918938533204673/1000000000000000))
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x))
(+ y -1)
(+.f64 y #s(literal -1 binary64))
y
-1
#s(literal -1 binary64)
x
(+ (* y -1/2) 918938533204673/1000000000000000)
(fma.f64 y #s(literal -1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64))
-1/2
#s(literal -1/2 binary64)
918938533204673/1000000000000000
#s(literal 918938533204673/1000000000000000 binary64)
(- 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

localize115.0ms (1.8%)

Memory
-1.8MiB live, 75.6MiB allocated
Localize:

Found 9 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(*.f64 y x)
✓accuracy100.0%
(-.f64 (*.f64 y x) x)
✓accuracy100.0%
(+.f64 #s(literal -1/2 binary64) x)
✓accuracy100.0%
(*.f64 y (+.f64 #s(literal -1/2 binary64) x))
✓accuracy100.0%
(fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64))
✓accuracy100.0%
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)
✓accuracy100.0%
(fma.f64 (+.f64 y #s(literal -1 binary64)) x (fma.f64 y #s(literal -1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64)))
✓accuracy100.0%
(fma.f64 y #s(literal -1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64))
✓accuracy100.0%
(+.f64 y #s(literal -1 binary64))
Samples
70.0ms256×0valid
Compiler

Compiled 56 to 19 computations (66.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 58.0ms
ival-mult: 43.0ms (73.9% of total)
ival-add: 8.0ms (13.7% of total)
const: 5.0ms (8.6% of total)
ival-sub: 2.0ms (3.4% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series7.0ms (0.1%)

Memory
10.4MiB live, 10.4MiB allocated
Counts
9 → 156
Calls
Call 1
Inputs
#<alt (+ (* (+ y -1) x) (+ (* y -1/2) 918938533204673/1000000000000000))>
#<alt (+ y -1)>
#<alt (+ (* y -1/2) 918938533204673/1000000000000000)>
#<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 (* -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 (+ 918938533204673/1000000000000000 (* -1/2 y))>
#<alt (+ 918938533204673/1000000000000000 (+ (* -1/2 y) (* x (- y 1))))>
#<alt (+ 918938533204673/1000000000000000 (+ (* -1/2 y) (* x (- y 1))))>
#<alt (+ 918938533204673/1000000000000000 (+ (* -1/2 y) (* x (- y 1))))>
#<alt (* x (- y 1))>
#<alt (* x (- (+ y (+ (* -1/2 (/ y x)) (* 918938533204673/1000000000000000 (/ 1 x)))) 1))>
#<alt (* x (- (+ y (+ (* -1/2 (/ y x)) (* 918938533204673/1000000000000000 (/ 1 x)))) 1))>
#<alt (* x (- (+ y (+ (* -1/2 (/ y x)) (* 918938533204673/1000000000000000 (/ 1 x)))) 1))>
#<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 -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 918938533204673/1000000000000000>
#<alt (+ 918938533204673/1000000000000000 (* -1/2 y))>
#<alt (+ 918938533204673/1000000000000000 (* -1/2 y))>
#<alt (+ 918938533204673/1000000000000000 (* -1/2 y))>
#<alt (* -1/2 y)>
#<alt (* y (- (* 918938533204673/1000000000000000 (/ 1 y)) 1/2))>
#<alt (* y (- (* 918938533204673/1000000000000000 (/ 1 y)) 1/2))>
#<alt (* y (- (* 918938533204673/1000000000000000 (/ 1 y)) 1/2))>
#<alt (* -1/2 y)>
#<alt (* -1 (* y (- 1/2 (* 918938533204673/1000000000000000 (/ 1 y)))))>
#<alt (* -1 (* y (- 1/2 (* 918938533204673/1000000000000000 (/ 1 y)))))>
#<alt (* -1 (* y (- 1/2 (* 918938533204673/1000000000000000 (/ 1 y)))))>
#<alt 918938533204673/1000000000000000>
#<alt (+ 918938533204673/1000000000000000 (* -1 x))>
#<alt (+ 918938533204673/1000000000000000 (* -1 x))>
#<alt (+ 918938533204673/1000000000000000 (* -1 x))>
#<alt (* -1 x)>
#<alt (* x (- (* 918938533204673/1000000000000000 (/ 1 x)) 1))>
#<alt (* x (- (* 918938533204673/1000000000000000 (/ 1 x)) 1))>
#<alt (* x (- (* 918938533204673/1000000000000000 (/ 1 x)) 1))>
#<alt (* -1 x)>
#<alt (* -1 (* x (- 1 (* 918938533204673/1000000000000000 (/ 1 x)))))>
#<alt (* -1 (* x (- 1 (* 918938533204673/1000000000000000 (/ 1 x)))))>
#<alt (* -1 (* x (- 1 (* 918938533204673/1000000000000000 (/ 1 x)))))>
#<alt 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

39 calls:

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

rewrite478.0ms (7.3%)

Memory
18.4MiB live, 480.4MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
8 626×accelerator-lowering-fma.f32
8 626×accelerator-lowering-fma.f64
4 334×*-lowering-*.f32
4 334×*-lowering-*.f64
3 668×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01743
111743
284341
0863539
Stop Event
1×iter limit
1×node limit
Counts
9 → 547
Calls
Call 1
Inputs
(+ (* (+ y -1) x) (+ (* y -1/2) 918938533204673/1000000000000000))
(+ y -1)
(+ (* y -1/2) 918938533204673/1000000000000000)
(- 918938533204673/1000000000000000 x)
(+ (* -1/2 y) 918938533204673/1000000000000000)
(* y (+ -1/2 x))
(+ -1/2 x)
(- (* y x) x)
(* y x)
Outputs
(+.f64 (-.f64 (*.f64 y x) x) (fma.f64 y #s(literal -1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64)))
(+.f64 (*.f64 y #s(literal -1/2 binary64)) (fma.f64 y x (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)))
(+.f64 (*.f64 y #s(literal -1/2 binary64)) (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (-.f64 (*.f64 y x) x)))
(+.f64 #s(literal 918938533204673/1000000000000000 binary64) (-.f64 (*.f64 y (+.f64 x #s(literal -1/2 binary64))) x))
(+.f64 (fma.f64 y #s(literal -1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64)) (-.f64 (*.f64 y x) x))
(+.f64 (*.f64 y x) (+.f64 (neg.f64 x) (fma.f64 y #s(literal -1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64))))
(+.f64 (*.f64 y x) (fma.f64 x #s(literal -1 binary64) (fma.f64 y #s(literal -1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64))))
(+.f64 (neg.f64 x) (fma.f64 y x (fma.f64 y #s(literal -1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64))))
(+.f64 (-.f64 (*.f64 y (+.f64 x #s(literal -1/2 binary64))) x) #s(literal 918938533204673/1000000000000000 binary64))
(+.f64 (/.f64 (*.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 x (-.f64 (*.f64 y x) x))) (fma.f64 (+.f64 y #s(literal -1 binary64)) x (fma.f64 y #s(literal 1/2 binary64) #s(literal -918938533204673/1000000000000000 binary64)))) (neg.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))) (fma.f64 (+.f64 y #s(literal -1 binary64)) x (fma.f64 y #s(literal 1/2 binary64) #s(literal -918938533204673/1000000000000000 binary64))))))
(+.f64 (*.f64 x #s(literal -1 binary64)) (fma.f64 y x (fma.f64 y #s(literal -1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64))))
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(/.f64 (fma.f64 (*.f64 y x) (*.f64 y (*.f64 y (*.f64 x x))) (pow.f64 (*.f64 x #s(literal -1 binary64)) #s(literal 3 binary64))) (fma.f64 y (*.f64 y (*.f64 x x)) (-.f64 (*.f64 (*.f64 x #s(literal -1 binary64)) (*.f64 x #s(literal -1 binary64))) (*.f64 (*.f64 y x) (*.f64 x #s(literal -1 binary64))))))
(/.f64 (fma.f64 (*.f64 x x) (neg.f64 x) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y)))) (fma.f64 x x (-.f64 (*.f64 y (*.f64 y (*.f64 x x))) (*.f64 (neg.f64 x) (*.f64 y x)))))
(/.f64 (+.f64 (pow.f64 (*.f64 x #s(literal -1 binary64)) #s(literal 3 binary64)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y)))) (fma.f64 (*.f64 x #s(literal -1 binary64)) (*.f64 x #s(literal -1 binary64)) (-.f64 (*.f64 y (*.f64 y (*.f64 x x))) (*.f64 (*.f64 x #s(literal -1 binary64)) (*.f64 y x)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y))) (*.f64 x (fma.f64 y (*.f64 y x) (fma.f64 y x x)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 x (*.f64 x x)) (*.f64 x (fma.f64 y (*.f64 y x) (fma.f64 y x x)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y))) (*.f64 x (fma.f64 y (*.f64 y x) (fma.f64 y x x)))) (/.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y))) (*.f64 x (fma.f64 y (*.f64 y x) (fma.f64 y x x)))) (fma.f64 (/.f64 (*.f64 x (*.f64 x x)) (*.f64 x (fma.f64 y (*.f64 y x) (fma.f64 y x x)))) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 x (fma.f64 y (*.f64 y x) (fma.f64 y x x)))) (*.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y))) (*.f64 x (fma.f64 y (*.f64 y x) (fma.f64 y x x)))) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 x (fma.f64 y (*.f64 y 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 y (*.f64 y (*.f64 x x))) (*.f64 (*.f64 x #s(literal -1 binary64)) (*.f64 x #s(literal -1 binary64)))) (-.f64 (*.f64 y x) (*.f64 x #s(literal -1 binary64))))
(/.f64 (-.f64 (*.f64 x x) (*.f64 y (*.f64 y (*.f64 x x)))) (-.f64 (neg.f64 x) (*.f64 y x)))
(/.f64 (-.f64 (*.f64 (*.f64 x #s(literal -1 binary64)) (*.f64 x #s(literal -1 binary64))) (*.f64 y (*.f64 y (*.f64 x x)))) (-.f64 (*.f64 x #s(literal -1 binary64)) (*.f64 y x)))
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y))) (*.f64 x (fma.f64 y (*.f64 y x) (fma.f64 y x x)))) (/.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y))) (*.f64 x (fma.f64 y (*.f64 y x) (fma.f64 y x x))))) (*.f64 (/.f64 (*.f64 x (*.f64 x x)) (*.f64 x (fma.f64 y (*.f64 y x) (fma.f64 y x x)))) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 x (fma.f64 y (*.f64 y x) (fma.f64 y x x)))))) (+.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y))) (*.f64 x (fma.f64 y (*.f64 y x) (fma.f64 y x x)))) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 x (fma.f64 y (*.f64 y x) (fma.f64 y x x))))))
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 y (*.f64 y (*.f64 x x))) (fma.f64 y x x)) (/.f64 (*.f64 y (*.f64 y (*.f64 x x))) (fma.f64 y x x))) (*.f64 (/.f64 (*.f64 x x) (fma.f64 y x x)) (/.f64 (*.f64 x x) (fma.f64 y x x)))) (+.f64 (/.f64 (*.f64 y (*.f64 y (*.f64 x x))) (fma.f64 y x x)) (/.f64 (*.f64 x x) (fma.f64 y x x))))
(pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 y x) x)) #s(literal -1 binary64))
(*.f64 (+.f64 y #s(literal -1 binary64)) x)
(*.f64 x (+.f64 y #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (-.f64 (*.f64 y x) x))
(*.f64 (*.f64 (*.f64 x (fma.f64 y (*.f64 y x) (fma.f64 y x x))) (-.f64 (*.f64 y x) x)) (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 y (*.f64 y x) (fma.f64 y x x)))))
(*.f64 (*.f64 (*.f64 x (fma.f64 y (*.f64 y x) (fma.f64 y x x))) (-.f64 (*.f64 y x) x)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (fma.f64 y (*.f64 y x) x)) (neg.f64 (*.f64 y (*.f64 x x))))))
(*.f64 (*.f64 x (*.f64 x (fma.f64 y y #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 y x x)))
(*.f64 (neg.f64 (*.f64 (*.f64 x (fma.f64 y (*.f64 y x) (fma.f64 y x x))) (-.f64 (*.f64 y x) x))) (/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 x (fma.f64 y (*.f64 y x) (fma.f64 y x x))))))
(*.f64 (neg.f64 (*.f64 x (*.f64 x (fma.f64 y y #s(literal -1 binary64))))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 y x x))))
(*.f64 (*.f64 x (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 (*.f64 x (fma.f64 y y #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))))
(*.f64 (*.f64 (fma.f64 y (*.f64 y y) #s(literal -1 binary64)) x) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 y y #s(literal 1 binary64)) (neg.f64 y))))
(*.f64 (*.f64 (fma.f64 y y #s(literal -1 binary64)) x) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))))
(*.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)

simplify234.0ms (3.6%)

Memory
-11.3MiB live, 384.9MiB allocated
Algorithm
1×egg-herbie
Rules
8 842×accelerator-lowering-fma.f32
8 842×accelerator-lowering-fma.f64
2 732×*-lowering-*.f32
2 732×*-lowering-*.f64
1 186×unsub-neg
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
089713
1275685
2822685
32260685
45868685
08178648
Stop Event
1×iter limit
1×node limit
Counts
156 → 156
Calls
Call 1
Inputs
(+ 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))))))
(+ 918938533204673/1000000000000000 (* -1/2 y))
(+ 918938533204673/1000000000000000 (+ (* -1/2 y) (* x (- y 1))))
(+ 918938533204673/1000000000000000 (+ (* -1/2 y) (* x (- y 1))))
(+ 918938533204673/1000000000000000 (+ (* -1/2 y) (* x (- y 1))))
(* x (- y 1))
(* x (- (+ y (+ (* -1/2 (/ y x)) (* 918938533204673/1000000000000000 (/ 1 x)))) 1))
(* x (- (+ y (+ (* -1/2 (/ y x)) (* 918938533204673/1000000000000000 (/ 1 x)))) 1))
(* x (- (+ y (+ (* -1/2 (/ y x)) (* 918938533204673/1000000000000000 (/ 1 x)))) 1))
(* 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)))))
-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)))
918938533204673/1000000000000000
(+ 918938533204673/1000000000000000 (* -1/2 y))
(+ 918938533204673/1000000000000000 (* -1/2 y))
(+ 918938533204673/1000000000000000 (* -1/2 y))
(* -1/2 y)
(* y (- (* 918938533204673/1000000000000000 (/ 1 y)) 1/2))
(* y (- (* 918938533204673/1000000000000000 (/ 1 y)) 1/2))
(* y (- (* 918938533204673/1000000000000000 (/ 1 y)) 1/2))
(* -1/2 y)
(* -1 (* y (- 1/2 (* 918938533204673/1000000000000000 (/ 1 y)))))
(* -1 (* y (- 1/2 (* 918938533204673/1000000000000000 (/ 1 y)))))
(* -1 (* y (- 1/2 (* 918938533204673/1000000000000000 (/ 1 y)))))
918938533204673/1000000000000000
(+ 918938533204673/1000000000000000 (* -1 x))
(+ 918938533204673/1000000000000000 (* -1 x))
(+ 918938533204673/1000000000000000 (* -1 x))
(* -1 x)
(* x (- (* 918938533204673/1000000000000000 (/ 1 x)) 1))
(* x (- (* 918938533204673/1000000000000000 (/ 1 x)) 1))
(* x (- (* 918938533204673/1000000000000000 (/ 1 x)) 1))
(* -1 x)
(* -1 (* x (- 1 (* 918938533204673/1000000000000000 (/ 1 x)))))
(* -1 (* x (- 1 (* 918938533204673/1000000000000000 (/ 1 x)))))
(* -1 (* x (- 1 (* 918938533204673/1000000000000000 (/ 1 x)))))
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 (* -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 x #s(literal -1/2 binary64)))
(* 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 x #s(literal -1/2 binary64)))
(* -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))
(+ 918938533204673/1000000000000000 (* -1/2 y))
(fma.f64 y #s(literal -1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64))
(+ 918938533204673/1000000000000000 (+ (* -1/2 y) (* x (- y 1))))
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x))
(+ 918938533204673/1000000000000000 (+ (* -1/2 y) (* x (- y 1))))
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x))
(+ 918938533204673/1000000000000000 (+ (* -1/2 y) (* x (- y 1))))
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x))
(* x (- y 1))
(-.f64 (*.f64 x y) x)
(* x (- (+ y (+ (* -1/2 (/ y x)) (* 918938533204673/1000000000000000 (/ 1 x)))) 1))
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x))
(* x (- (+ y (+ (* -1/2 (/ y x)) (* 918938533204673/1000000000000000 (/ 1 x)))) 1))
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x))
(* x (- (+ y (+ (* -1/2 (/ y x)) (* 918938533204673/1000000000000000 (/ 1 x)))) 1))
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x))
(* x (- y 1))
(-.f64 (*.f64 x y) 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))
-1
#s(literal -1 binary64)
(- y 1)
(+.f64 #s(literal -1 binary64) y)
(- y 1)
(+.f64 #s(literal -1 binary64) y)
(- y 1)
(+.f64 #s(literal -1 binary64) y)
y
(* y (- 1 (/ 1 y)))
(+.f64 #s(literal -1 binary64) y)
(* y (- 1 (/ 1 y)))
(+.f64 #s(literal -1 binary64) y)
(* y (- 1 (/ 1 y)))
(+.f64 #s(literal -1 binary64) y)
y
(* -1 (* y (- (/ 1 y) 1)))
(+.f64 #s(literal -1 binary64) y)
(* -1 (* y (- (/ 1 y) 1)))
(+.f64 #s(literal -1 binary64) y)
(* -1 (* y (- (/ 1 y) 1)))
(+.f64 #s(literal -1 binary64) y)
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))
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)

eval87.0ms (1.3%)

Memory
-7.3MiB live, 182.5MiB allocated
Compiler

Compiled 16 766 to 1 515 computations (91% saved)

prune76.0ms (1.2%)

Memory
15.2MiB live, 181.1MiB allocated
Pruning

9 alts after pruning (6 fresh and 3 done)

PrunedKeptTotal
New6976703
Fresh101
Picked235
Done000
Total7009709
Accuracy
100.0%
Counts
709 → 9
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶53.7%
(fma.f64 y x (*.f64 y #s(literal -1/2 binary64)))
50.2%
(fma.f64 y x (neg.f64 x))
✓51.6%
(fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64))
✓48.4%
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)
✓53.7%
(*.f64 y (+.f64 #s(literal -1/2 binary64) x))
▶24.4%
(*.f64 y x)
▶31.6%
(*.f64 y #s(literal -1/2 binary64))
▶28.2%
(neg.f64 x)
▶22.2%
#s(literal 918938533204673/1000000000000000 binary64)
Compiler

Compiled 82 to 58 computations (29.3% saved)

simplify5.0ms (0.1%)

Memory
8.3MiB live, 8.4MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 5 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(*.f64 y x)
✓cost-diff0
(*.f64 y #s(literal -1/2 binary64))
✓cost-diff0
(neg.f64 x)
✓cost-diff0
(*.f64 y #s(literal -1/2 binary64))
✓cost-diff192
(fma.f64 y x (*.f64 y #s(literal -1/2 binary64)))
Rules
32×+-lowering-+.f64
32×+-lowering-+.f32
24×accelerator-lowering-fma.f32
24×accelerator-lowering-fma.f64
16×*-lowering-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0825
11725
22225
32425
42625
53025
64525
75825
86225
06225
Stop Event
1×iter limit
1×saturated
Calls
Call 1
Inputs
(+ (* y x) (* y -1/2))
y
x
(* y -1/2)
-1/2
918938533204673/1000000000000000
(neg x)
x
(* y -1/2)
y
-1/2
(* y x)
y
x
Outputs
(+ (* 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)
918938533204673/1000000000000000
#s(literal 918938533204673/1000000000000000 binary64)
(neg x)
(neg.f64 x)
x
(* y -1/2)
(*.f64 y #s(literal -1/2 binary64))
y
-1/2
#s(literal -1/2 binary64)
(* y x)
(*.f64 y x)
y
x

localize33.0ms (0.5%)

Memory
-11.4MiB live, 67.6MiB allocated
Localize:

Found 5 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(*.f64 y x)
✓accuracy100.0%
(*.f64 y #s(literal -1/2 binary64))
✓accuracy100.0%
(neg.f64 x)
✓accuracy100.0%
(fma.f64 y x (*.f64 y #s(literal -1/2 binary64)))
✓accuracy100.0%
(*.f64 y #s(literal -1/2 binary64))
Samples
23.0ms256×0valid
Compiler

Compiled 28 to 10 computations (64.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 13.0ms
const: 6.0ms (45.7% of total)
ival-mult: 4.0ms (30.5% of total)
ival-add: 1.0ms (7.6% of total)
ival-neg: 1.0ms (7.6% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series1.0ms (0%)

Memory
2.8MiB live, 2.9MiB allocated
Counts
4 → 72
Calls
Call 1
Inputs
#<alt (+ (* y x) (* y -1/2))>
#<alt (* y -1/2)>
#<alt (neg x)>
#<alt (* y x)>
Outputs
#<alt (* y (- x 1/2))>
#<alt (* y (- x 1/2))>
#<alt (* y (- x 1/2))>
#<alt (* y (- x 1/2))>
#<alt (* y (- x 1/2))>
#<alt (* y (- x 1/2))>
#<alt (* y (- x 1/2))>
#<alt (* y (- x 1/2))>
#<alt (* -1 (* y (+ 1/2 (* -1 x))))>
#<alt (* -1 (* y (+ 1/2 (* -1 x))))>
#<alt (* -1 (* y (+ 1/2 (* -1 x))))>
#<alt (* -1 (* y (+ 1/2 (* -1 x))))>
#<alt (* -1/2 y)>
#<alt (+ (* -1/2 y) (* x y))>
#<alt (+ (* -1/2 y) (* x y))>
#<alt (+ (* -1/2 y) (* x y))>
#<alt (* x y)>
#<alt (* x (+ y (* -1/2 (/ y x))))>
#<alt (* x (+ y (* -1/2 (/ y x))))>
#<alt (* x (+ y (* -1/2 (/ y x))))>
#<alt (* x y)>
#<alt (* -1 (* x (+ (* -1 y) (* 1/2 (/ y x)))))>
#<alt (* -1 (* x (+ (* -1 y) (* 1/2 (/ y x)))))>
#<alt (* -1 (* x (+ (* -1 y) (* 1/2 (/ y x)))))>
#<alt (* -1/2 y)>
#<alt (* -1/2 y)>
#<alt (* -1/2 y)>
#<alt (* -1/2 y)>
#<alt (* -1/2 y)>
#<alt (* -1/2 y)>
#<alt (* -1/2 y)>
#<alt (* -1/2 y)>
#<alt (* -1/2 y)>
#<alt (* -1/2 y)>
#<alt (* -1/2 y)>
#<alt (* -1/2 y)>
#<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)>
Calls

18 calls:

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

rewrite349.0ms (5.4%)

Memory
7.2MiB live, 635.7MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
10 140×accelerator-lowering-fma.f32
10 140×accelerator-lowering-fma.f64
4 392×/-lowering-/.f32
4 392×/-lowering-/.f64
3 944×*-lowering-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0713
12913
220813
3210313
0813813
Stop Event
1×iter limit
1×node limit
Counts
4 → 225
Calls
Call 1
Inputs
(+ (* y x) (* y -1/2))
(* y -1/2)
(neg x)
(* y x)
Outputs
(+.f64 (*.f64 y x) (*.f64 y #s(literal -1/2 binary64)))
(+.f64 (*.f64 y #s(literal -1/2 binary64)) (*.f64 y x))
(+.f64 (/.f64 (*.f64 x (*.f64 y (*.f64 y x))) (*.f64 y (+.f64 x #s(literal 1/2 binary64)))) (neg.f64 (/.f64 (*.f64 y (*.f64 y #s(literal 1/4 binary64))) (*.f64 y (+.f64 x #s(literal 1/2 binary64))))))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (+.f64 x #s(literal -1/2 binary64))))) #s(literal -1 binary64)))
(-.f64 (/.f64 (*.f64 x (*.f64 y (*.f64 y x))) (*.f64 y (+.f64 x #s(literal 1/2 binary64)))) (/.f64 (*.f64 y (*.f64 y #s(literal 1/4 binary64))) (*.f64 y (+.f64 x #s(literal 1/2 binary64)))))
(-.f64 (/.f64 (*.f64 y (*.f64 y #s(literal 1/4 binary64))) (*.f64 y (-.f64 #s(literal -1/2 binary64) x))) (/.f64 (*.f64 x (*.f64 y (*.f64 y x))) (*.f64 y (-.f64 #s(literal -1/2 binary64) x))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (*.f64 y (+.f64 x #s(literal 1/2 binary64))))) (/.f64 (*.f64 (*.f64 y y) (fma.f64 x x #s(literal -1/4 binary64))) (neg.f64 (*.f64 y (+.f64 x #s(literal 1/2 binary64))))))
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 y x) (*.f64 (*.f64 y (*.f64 x (*.f64 x (*.f64 y (*.f64 y x))))) (*.f64 x (*.f64 y (*.f64 y x))))) (*.f64 (*.f64 y (*.f64 y y)) (-.f64 (*.f64 x (*.f64 x x)) #s(literal -1/8 binary64)))) (fma.f64 y (*.f64 y #s(literal 1/4 binary64)) (*.f64 (*.f64 y x) (*.f64 y (+.f64 x #s(literal 1/2 binary64)))))) (/.f64 (/.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 1/64 binary64))) (*.f64 (*.f64 y (*.f64 y y)) (-.f64 (*.f64 x (*.f64 x x)) #s(literal -1/8 binary64)))) (fma.f64 y (*.f64 y #s(literal 1/4 binary64)) (*.f64 (*.f64 y x) (*.f64 y (+.f64 x #s(literal 1/2 binary64)))))))
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 y x) (*.f64 (*.f64 y (*.f64 x (*.f64 x (*.f64 y (*.f64 y x))))) (*.f64 x (*.f64 y (*.f64 y x))))) (fma.f64 y (*.f64 (*.f64 y (*.f64 x x)) (*.f64 x (*.f64 y (*.f64 y 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 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 1/64 binary64))) (fma.f64 y (*.f64 (*.f64 y (*.f64 x x)) (*.f64 x (*.f64 y (*.f64 y 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 x) (*.f64 y (*.f64 x (*.f64 x (*.f64 y (*.f64 y x)))))) (*.f64 (*.f64 y y) (fma.f64 x x #s(literal 1/4 binary64)))) (*.f64 y (+.f64 x #s(literal 1/2 binary64)))) (/.f64 (/.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 y y) (*.f64 y y))) (*.f64 (*.f64 y y) (fma.f64 x x #s(literal 1/4 binary64)))) (*.f64 y (+.f64 x #s(literal 1/2 binary64)))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (fma.f64 y (*.f64 y #s(literal 1/4 binary64)) (*.f64 (*.f64 y x) (*.f64 y (+.f64 x #s(literal 1/2 binary64))))))) (/.f64 (*.f64 (*.f64 y (*.f64 y y)) (fma.f64 x (*.f64 x x) #s(literal -1/8 binary64))) (neg.f64 (fma.f64 y (*.f64 y #s(literal 1/4 binary64)) (*.f64 (*.f64 y x) (*.f64 y (+.f64 x #s(literal 1/2 binary64))))))))
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(*.f64 (neg.f64 (*.f64 (*.f64 y (*.f64 y y)) (fma.f64 x (*.f64 x x) #s(literal -1/8 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 y (*.f64 y #s(literal 1/4 binary64)) (*.f64 (*.f64 y x) (*.f64 y (+.f64 x #s(literal 1/2 binary64))))))))
(*.f64 (neg.f64 (*.f64 (*.f64 y y) (fma.f64 x x #s(literal -1/4 binary64)))) (/.f64 #s(literal 1 binary64) (neg.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 #s(literal 1 binary64) (fma.f64 y (*.f64 y #s(literal 1/4 binary64)) (*.f64 (*.f64 y x) (*.f64 y (+.f64 x #s(literal 1/2 binary64)))))) (*.f64 (*.f64 y (*.f64 y y)) (fma.f64 x (*.f64 x x) #s(literal -1/8 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (+.f64 x #s(literal 1/2 binary64)))) (*.f64 (*.f64 y y) (fma.f64 x x #s(literal -1/4 binary64))))
(*.f64 (*.f64 (*.f64 y y) (-.f64 #s(literal 1/4 binary64) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (*.f64 y (-.f64 #s(literal -1/2 binary64) x))))
(*.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 #s(literal 1 binary64) y) (pow.f64 (/.f64 (+.f64 x #s(literal 1/2 binary64)) (*.f64 (*.f64 y y) (fma.f64 x x #s(literal -1/4 binary64)))) #s(literal -1 binary64)))
(*.f64 (/.f64 (*.f64 (*.f64 y y) (fma.f64 x x #s(literal -1/4 binary64))) (*.f64 (*.f64 y y) (fma.f64 x x #s(literal -1/4 binary64)))) (*.f64 y (+.f64 x #s(literal -1/2 binary64))))
(*.f64 (/.f64 (*.f64 (*.f64 y (*.f64 y y)) (fma.f64 x (*.f64 x x) #s(literal -1/8 binary64))) (fma.f64 (*.f64 y x) (*.f64 (*.f64 y (*.f64 x (*.f64 x (*.f64 y (*.f64 y x))))) (*.f64 x (*.f64 y (*.f64 y x)))) (*.f64 (*.f64 (*.f64 y (*.f64 y y)) #s(literal -1/8 binary64)) (*.f64 (*.f64 y (-.f64 #s(literal -1/2 binary64) x)) (*.f64 (*.f64 y (-.f64 #s(literal -1/2 binary64) x)) (*.f64 y (-.f64 #s(literal -1/2 binary64) x))))))) (fma.f64 (*.f64 (*.f64 y (*.f64 y #s(literal -1/2 binary64))) (-.f64 #s(literal -1/2 binary64) x)) (-.f64 (*.f64 (*.f64 y (*.f64 y #s(literal -1/2 binary64))) (-.f64 #s(literal -1/2 binary64) x)) (*.f64 x (*.f64 y (*.f64 y x)))) (*.f64 (*.f64 y x) (*.f64 y (*.f64 x (*.f64 x (*.f64 y (*.f64 y x))))))))
(*.f64 (/.f64 (*.f64 (*.f64 y (*.f64 y y)) (fma.f64 x (*.f64 x x) #s(literal -1/8 binary64))) (*.f64 (fma.f64 y (*.f64 y #s(literal 1/4 binary64)) (*.f64 (*.f64 y x) (*.f64 y (+.f64 x #s(literal 1/2 binary64))))) (fma.f64 (*.f64 y y) (fma.f64 x x #s(literal -1/4 binary64)) (*.f64 y (*.f64 x (*.f64 y #s(literal -1/2 binary64))))))) (fma.f64 (*.f64 y y) (fma.f64 x x #s(literal -1/4 binary64)) (*.f64 y (*.f64 x (*.f64 y #s(literal -1/2 binary64))))))
(*.f64 (/.f64 (*.f64 (*.f64 y y) (fma.f64 x x #s(literal -1/4 binary64))) (*.f64 (*.f64 y (*.f64 y y)) (-.f64 (*.f64 x (*.f64 x x)) #s(literal -1/8 binary64)))) (fma.f64 (*.f64 y y) (fma.f64 x x #s(literal 1/4 binary64)) (*.f64 y (*.f64 x (*.f64 y #s(literal -1/2 binary64))))))
(*.f64 (pow.f64 (/.f64 y (*.f64 y (+.f64 x #s(literal -1/2 binary64)))) #s(literal -1 binary64)) (pow.f64 (/.f64 (+.f64 x #s(literal 1/2 binary64)) (*.f64 y (+.f64 x #s(literal 1/2 binary64)))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (fma.f64 y (*.f64 y #s(literal 1/4 binary64)) (*.f64 (*.f64 y x) (*.f64 y (+.f64 x #s(literal 1/2 binary64))))) (fma.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y)))) #s(literal -1/512 binary64) (*.f64 (*.f64 (*.f64 y (*.f64 x (*.f64 x (*.f64 y (*.f64 y x))))) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 y (*.f64 x (*.f64 x (*.f64 y (*.f64 y x))))) (*.f64 y (*.f64 y y)))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 y (*.f64 y y)) #s(literal -1/8 binary64)) (-.f64 (*.f64 (*.f64 y (*.f64 y y)) #s(literal -1/8 binary64)) (*.f64 y (*.f64 x (*.f64 x (*.f64 y (*.f64 y x)))))) (*.f64 (*.f64 y x) (*.f64 (*.f64 y (*.f64 x (*.f64 x (*.f64 y (*.f64 y x))))) (*.f64 x (*.f64 y (*.f64 y x))))))))
(*.f64 (pow.f64 (/.f64 (fma.f64 y (*.f64 y #s(literal 1/4 binary64)) (*.f64 (*.f64 y x) (*.f64 y (+.f64 x #s(literal 1/2 binary64))))) (*.f64 (*.f64 (*.f64 y (*.f64 y y)) (fma.f64 x (*.f64 x x) #s(literal -1/8 binary64))) (*.f64 (*.f64 y (*.f64 y y)) (-.f64 (*.f64 x (*.f64 x x)) #s(literal -1/8 binary64))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y (*.f64 y y)) (-.f64 (*.f64 x (*.f64 x x)) #s(literal -1/8 binary64)))))
(*.f64 (pow.f64 (/.f64 (*.f64 y (+.f64 x #s(literal 1/2 binary64))) (*.f64 (*.f64 (*.f64 y (*.f64 y y)) (fma.f64 x (*.f64 x x) #s(literal -1/8 binary64))) (*.f64 (*.f64 y (*.f64 y y)) (-.f64 (*.f64 x (*.f64 x x)) #s(literal -1/8 binary64))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 (*.f64 y (*.f64 x x)) (*.f64 x (*.f64 y (*.f64 y 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 (pow.f64 (/.f64 (*.f64 y (+.f64 x #s(literal 1/2 binary64))) (*.f64 (*.f64 (*.f64 y y) (fma.f64 x x #s(literal 1/4 binary64))) (*.f64 (*.f64 y y) (fma.f64 x x #s(literal -1/4 binary64))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) (fma.f64 x x #s(literal 1/4 binary64)))))
(exp.f64 (log.f64 (*.f64 y #s(literal -1/2 binary64))))
(exp.f64 (*.f64 (log.f64 (*.f64 y #s(literal -1/2 binary64))) #s(literal 1 binary64)))
(pow.f64 (*.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64))
(*.f64 y #s(literal -1/2 binary64))
(*.f64 #s(literal -1/2 binary64) y)
(*.f64 #s(literal -1/2 binary64) (pow.f64 y #s(literal 1 binary64)))
(*.f64 (pow.f64 y #s(literal 1 binary64)) #s(literal -1/2 binary64))
(*.f64 (exp.f64 (log.f64 y)) (exp.f64 (log.f64 #s(literal -1/2 binary64))))
(*.f64 (exp.f64 (log.f64 #s(literal -1/2 binary64))) (exp.f64 (log.f64 y)))
(+.f64 (neg.f64 x) #s(literal 0 binary64))
(+.f64 #s(literal 0 binary64) (neg.f64 x))
(-.f64 #s(literal 0 binary64) x)
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 x x)) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)))
(-.f64 (/.f64 #s(literal 0 binary64) x) x)
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (neg.f64 x))) (/.f64 (*.f64 x x) (-.f64 #s(literal 0 binary64) (neg.f64 x))))
(fma.f64 x #s(literal -1 binary64) #s(literal 0 binary64))
(fma.f64 #s(literal -1 binary64) x #s(literal 0 binary64))
(fma.f64 (neg.f64 (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 0 binary64))
(fma.f64 (neg.f64 (*.f64 x x)) (/.f64 #s(literal 1 binary64) x) #s(literal 0 binary64))
(neg.f64 x)
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (neg.f64 x))))
(/.f64 (neg.f64 (*.f64 x (*.f64 x x))) (*.f64 x x))
(/.f64 (neg.f64 (*.f64 x (*.f64 x x))) (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 x x) (*.f64 #s(literal 0 binary64) (neg.f64 x)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 x)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (neg.f64 x)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 x x) (*.f64 #s(literal 0 binary64) (neg.f64 x)))) (neg.f64 (*.f64 x (*.f64 x x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 0 binary64) (neg.f64 x)) (neg.f64 (*.f64 x x))))
(/.f64 (neg.f64 (*.f64 x x)) x)
(/.f64 (neg.f64 (*.f64 x x)) (-.f64 #s(literal 0 binary64) (neg.f64 x)))
(/.f64 (neg.f64 (neg.f64 (*.f64 x (*.f64 x x)))) (neg.f64 (*.f64 x x)))
(/.f64 (neg.f64 (neg.f64 (*.f64 x (*.f64 x x)))) (neg.f64 (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 x x) (*.f64 #s(literal 0 binary64) (neg.f64 x))))))
(/.f64 (neg.f64 (neg.f64 (*.f64 x x))) (neg.f64 x))
(/.f64 (neg.f64 (neg.f64 (*.f64 x x))) (neg.f64 (-.f64 #s(literal 0 binary64) (neg.f64 x))))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 x x) (*.f64 x x)))
(/.f64 (neg.f64 (neg.f64 (neg.f64 (*.f64 x (*.f64 x x))))) (neg.f64 (neg.f64 (*.f64 x x))))
(/.f64 (neg.f64 (neg.f64 (neg.f64 (*.f64 x x)))) (neg.f64 (neg.f64 x)))
(/.f64 (fma.f64 (neg.f64 x) (*.f64 x x) #s(literal 0 binary64)) (fma.f64 x x (-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 x) #s(literal 0 binary64)))))
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 0 binary64) (*.f64 x x)) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)) #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal 0 binary64) (*.f64 x x)) (/.f64 #s(literal 0 binary64) (*.f64 x x)) (fma.f64 (/.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)) (*.f64 (/.f64 #s(literal 0 binary64) (*.f64 x x)) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 x x))))))
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 0 binary64) x) #s(literal 3 binary64)) (*.f64 x (*.f64 x x))) (fma.f64 (/.f64 #s(literal 0 binary64) x) (/.f64 #s(literal 0 binary64) x) (fma.f64 x x (*.f64 (/.f64 #s(literal 0 binary64) x) x))))
(pow.f64 (/.f64 #s(literal 1 binary64) (neg.f64 x)) #s(literal -1 binary64))
(*.f64 x #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) x)
(*.f64 (neg.f64 (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(*.f64 (neg.f64 (*.f64 x x)) (/.f64 #s(literal 1 binary64) x))
(exp.f64 (log.f64 (*.f64 y x)))
(exp.f64 (*.f64 (log.f64 (*.f64 y x)) #s(literal 1 binary64)))
(pow.f64 (*.f64 y x) #s(literal 1 binary64))
(*.f64 y x)
(*.f64 x y)
(*.f64 (pow.f64 y #s(literal 1 binary64)) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)))
(*.f64 (/.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)) (pow.f64 y #s(literal 1 binary64)))
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 y)))
(*.f64 (exp.f64 (log.f64 y)) (exp.f64 (log.f64 x)))

simplify258.0ms (4%)

Memory
24.4MiB live, 254.4MiB allocated
Algorithm
1×egg-herbie
Rules
3 344×accelerator-lowering-fma.f32
3 344×accelerator-lowering-fma.f64
2 256×*-lowering-*.f32
2 256×*-lowering-*.f64
1 200×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
023246
168246
2177246
3343246
4647246
52252246
63490246
74066246
84340246
94371246
104373246
115226246
126338246
136762246
147038246
157088246
167088246
177660246
187822246
197978246
08006246
Stop Event
1×iter limit
1×node limit
Counts
72 → 72
Calls
Call 1
Inputs
(* y (- x 1/2))
(* y (- x 1/2))
(* y (- x 1/2))
(* y (- x 1/2))
(* y (- x 1/2))
(* y (- x 1/2))
(* y (- x 1/2))
(* y (- x 1/2))
(* -1 (* y (+ 1/2 (* -1 x))))
(* -1 (* y (+ 1/2 (* -1 x))))
(* -1 (* y (+ 1/2 (* -1 x))))
(* -1 (* y (+ 1/2 (* -1 x))))
(* -1/2 y)
(+ (* -1/2 y) (* x y))
(+ (* -1/2 y) (* x y))
(+ (* -1/2 y) (* x y))
(* x y)
(* x (+ y (* -1/2 (/ y x))))
(* x (+ y (* -1/2 (/ y x))))
(* x (+ y (* -1/2 (/ y x))))
(* x y)
(* -1 (* x (+ (* -1 y) (* 1/2 (/ y x)))))
(* -1 (* x (+ (* -1 y) (* 1/2 (/ y x)))))
(* -1 (* x (+ (* -1 y) (* 1/2 (/ y x)))))
(* -1/2 y)
(* -1/2 y)
(* -1/2 y)
(* -1/2 y)
(* -1/2 y)
(* -1/2 y)
(* -1/2 y)
(* -1/2 y)
(* -1/2 y)
(* -1/2 y)
(* -1/2 y)
(* -1/2 y)
(* -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)
Outputs
(* y (- x 1/2))
(*.f64 y (+.f64 x #s(literal -1/2 binary64)))
(* y (- x 1/2))
(*.f64 y (+.f64 x #s(literal -1/2 binary64)))
(* y (- x 1/2))
(*.f64 y (+.f64 x #s(literal -1/2 binary64)))
(* y (- x 1/2))
(*.f64 y (+.f64 x #s(literal -1/2 binary64)))
(* y (- x 1/2))
(*.f64 y (+.f64 x #s(literal -1/2 binary64)))
(* y (- x 1/2))
(*.f64 y (+.f64 x #s(literal -1/2 binary64)))
(* y (- x 1/2))
(*.f64 y (+.f64 x #s(literal -1/2 binary64)))
(* y (- x 1/2))
(*.f64 y (+.f64 x #s(literal -1/2 binary64)))
(* -1 (* y (+ 1/2 (* -1 x))))
(*.f64 y (+.f64 x #s(literal -1/2 binary64)))
(* -1 (* y (+ 1/2 (* -1 x))))
(*.f64 y (+.f64 x #s(literal -1/2 binary64)))
(* -1 (* y (+ 1/2 (* -1 x))))
(*.f64 y (+.f64 x #s(literal -1/2 binary64)))
(* -1 (* y (+ 1/2 (* -1 x))))
(*.f64 y (+.f64 x #s(literal -1/2 binary64)))
(* -1/2 y)
(*.f64 y #s(literal -1/2 binary64))
(+ (* -1/2 y) (* x y))
(*.f64 y (+.f64 x #s(literal -1/2 binary64)))
(+ (* -1/2 y) (* x y))
(*.f64 y (+.f64 x #s(literal -1/2 binary64)))
(+ (* -1/2 y) (* x y))
(*.f64 y (+.f64 x #s(literal -1/2 binary64)))
(* x y)
(*.f64 y x)
(* x (+ y (* -1/2 (/ y x))))
(*.f64 y (+.f64 x #s(literal -1/2 binary64)))
(* x (+ y (* -1/2 (/ y x))))
(*.f64 y (+.f64 x #s(literal -1/2 binary64)))
(* x (+ y (* -1/2 (/ y x))))
(*.f64 y (+.f64 x #s(literal -1/2 binary64)))
(* x y)
(*.f64 y x)
(* -1 (* x (+ (* -1 y) (* 1/2 (/ y x)))))
(*.f64 y (+.f64 x #s(literal -1/2 binary64)))
(* -1 (* x (+ (* -1 y) (* 1/2 (/ y x)))))
(*.f64 y (+.f64 x #s(literal -1/2 binary64)))
(* -1 (* x (+ (* -1 y) (* 1/2 (/ y x)))))
(*.f64 y (+.f64 x #s(literal -1/2 binary64)))
(* -1/2 y)
(*.f64 y #s(literal -1/2 binary64))
(* -1/2 y)
(*.f64 y #s(literal -1/2 binary64))
(* -1/2 y)
(*.f64 y #s(literal -1/2 binary64))
(* -1/2 y)
(*.f64 y #s(literal -1/2 binary64))
(* -1/2 y)
(*.f64 y #s(literal -1/2 binary64))
(* -1/2 y)
(*.f64 y #s(literal -1/2 binary64))
(* -1/2 y)
(*.f64 y #s(literal -1/2 binary64))
(* -1/2 y)
(*.f64 y #s(literal -1/2 binary64))
(* -1/2 y)
(*.f64 y #s(literal -1/2 binary64))
(* -1/2 y)
(*.f64 y #s(literal -1/2 binary64))
(* -1/2 y)
(*.f64 y #s(literal -1/2 binary64))
(* -1/2 y)
(*.f64 y #s(literal -1/2 binary64))
(* -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 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)

eval38.0ms (0.6%)

Memory
-4.3MiB live, 78.1MiB allocated
Compiler

Compiled 8 330 to 655 computations (92.1% saved)

prune35.0ms (0.5%)

Memory
2.8MiB live, 78.9MiB allocated
Pruning

9 alts after pruning (1 fresh and 8 done)

PrunedKeptTotal
New3180318
Fresh011
Picked055
Done033
Total3189327
Accuracy
100.0%
Counts
327 → 9
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓53.7%
(fma.f64 y x (*.f64 y #s(literal -1/2 binary64)))
▶50.2%
(fma.f64 y x (neg.f64 x))
✓51.6%
(fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64))
✓48.4%
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)
✓53.7%
(*.f64 y (+.f64 #s(literal -1/2 binary64) x))
✓24.4%
(*.f64 y x)
✓31.6%
(*.f64 y #s(literal -1/2 binary64))
✓28.2%
(neg.f64 x)
✓22.2%
#s(literal 918938533204673/1000000000000000 binary64)
Compiler

Compiled 50 to 36 computations (28% saved)

simplify48.0ms (0.7%)

Memory
-18.2MiB live, 20.5MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 2 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(neg.f64 x)
✓cost-diff0
(fma.f64 y x (neg.f64 x))
Rules
176×accelerator-lowering-fma.f32
176×accelerator-lowering-fma.f64
112×*-lowering-*.f32
112×*-lowering-*.f64
56×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
059
1129
2229
3369
4589
51249
62229
72709
82759
02759
Stop Event
1×iter limit
1×saturated
Calls
Call 1
Inputs
(+ (* y x) (neg x))
y
x
(neg x)
Outputs
(+ (* y x) (neg x))
(-.f64 (*.f64 y x) x)
y
x
(neg x)
(neg.f64 x)

localize15.0ms (0.2%)

Memory
22.3MiB live, 22.3MiB allocated
Localize:

Found 2 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(fma.f64 y x (neg.f64 x))
✓accuracy100.0%
(neg.f64 x)
Samples
10.0ms256×0valid
Compiler

Compiled 11 to 7 computations (36.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 4.0ms
ival-mult: 2.0ms (44.9% of total)
ival-add: 1.0ms (22.4% of total)
ival-neg: 1.0ms (22.4% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series1.0ms (0%)

Memory
1.0MiB live, 1.0MiB allocated
Counts
2 → 36
Calls
Call 1
Inputs
#<alt (+ (* y x) (neg x))>
#<alt (neg x)>
Outputs
#<alt (* -1 x)>
#<alt (- (* x y) x)>
#<alt (- (* x y) x)>
#<alt (- (* x y) x)>
#<alt (* x y)>
#<alt (* y (+ x (* -1 (/ x y))))>
#<alt (* y (+ x (* -1 (/ x y))))>
#<alt (* y (+ x (* -1 (/ x y))))>
#<alt (* x y)>
#<alt (* -1 (* y (+ (* -1 x) (/ x y))))>
#<alt (* -1 (* y (+ (* -1 x) (/ x y))))>
#<alt (* -1 (* y (+ (* -1 x) (/ x y))))>
#<alt (* x (- y 1))>
#<alt (* x (- y 1))>
#<alt (* x (- y 1))>
#<alt (* x (- y 1))>
#<alt (* x (- y 1))>
#<alt (* x (- y 1))>
#<alt (* x (- y 1))>
#<alt (* x (- y 1))>
#<alt (* -1 (* x (+ 1 (* -1 y))))>
#<alt (* -1 (* x (+ 1 (* -1 y))))>
#<alt (* -1 (* x (+ 1 (* -1 y))))>
#<alt (* -1 (* x (+ 1 (* -1 y))))>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
Calls

9 calls:

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

rewrite273.0ms (4.2%)

Memory
-47.7MiB live, 371.4MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
5 418×accelerator-lowering-fma.f32
5 418×accelerator-lowering-fma.f64
3 042×*-lowering-*.f32
3 042×*-lowering-*.f64
2 650×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
057
1257
22037
322106
0102835
Stop Event
1×iter limit
1×node limit
Counts
2 → 301
Calls
Call 1
Inputs
(+ (* y x) (neg x))
(neg x)
Outputs
(+.f64 x (*.f64 y x))
(+.f64 (*.f64 y x) x)
(+.f64 #s(literal 0 binary64) (fma.f64 y x x))
(+.f64 (*.f64 (*.f64 y x) (/.f64 y (+.f64 y #s(literal 1 binary64)))) (/.f64 x (+.f64 y #s(literal 1 binary64))))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal -1 binary64) (fma.f64 y x x))) #s(literal -1 binary64)))
(-.f64 x (*.f64 y x))
(-.f64 (*.f64 y x) x)
(-.f64 #s(literal 0 binary64) (fma.f64 y x x))
(-.f64 (*.f64 (*.f64 y x) (/.f64 y (+.f64 y #s(literal 1 binary64)))) (/.f64 x (+.f64 y #s(literal 1 binary64))))
(-.f64 (/.f64 x (+.f64 y #s(literal 1 binary64))) (*.f64 (*.f64 y x) (/.f64 y (+.f64 y #s(literal 1 binary64)))))
(-.f64 (/.f64 (*.f64 (*.f64 y x) (*.f64 y (*.f64 y (*.f64 x x)))) (fma.f64 (*.f64 y x) (fma.f64 y x x) (*.f64 x x))) (/.f64 (*.f64 x (*.f64 x x)) (fma.f64 (*.f64 y x) (fma.f64 y x x) (*.f64 x x))))
(-.f64 (/.f64 (*.f64 x (*.f64 x x)) (fma.f64 (*.f64 y x) (fma.f64 y x x) (*.f64 x x))) (/.f64 (*.f64 (*.f64 y x) (*.f64 y (*.f64 y (*.f64 x x)))) (fma.f64 (*.f64 y x) (fma.f64 y x x) (*.f64 x x))))
(-.f64 (/.f64 #s(literal 0 binary64) (fma.f64 y x x)) (fma.f64 y x x))
(-.f64 (/.f64 #s(literal 0 binary64) (fma.f64 (*.f64 y x) (fma.f64 y x x) (*.f64 x x))) (fma.f64 y x x))
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 y x) (*.f64 (*.f64 (*.f64 y x) (*.f64 y (*.f64 y (*.f64 x x)))) (*.f64 y (*.f64 y (*.f64 x x))))) (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 y (*.f64 y y) #s(literal -1 binary64)))) (fma.f64 (*.f64 y x) (fma.f64 y x x) (*.f64 x x))) (/.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 y (*.f64 y y) #s(literal -1 binary64)))) (fma.f64 (*.f64 y x) (fma.f64 y x x) (*.f64 x x))))
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 y x) (*.f64 (*.f64 (*.f64 y x) (*.f64 y (*.f64 y (*.f64 x x)))) (*.f64 y (*.f64 y (*.f64 x x))))) (*.f64 (fma.f64 (*.f64 y x) (fma.f64 y x x) (*.f64 x x)) (fma.f64 (*.f64 y x) (fma.f64 y x x) (*.f64 x x)))) (fma.f64 y x x)) (/.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (fma.f64 (*.f64 y x) (fma.f64 y x x) (*.f64 x x)) (fma.f64 (*.f64 y x) (fma.f64 y x x) (*.f64 x x)))) (fma.f64 y x x)))
(-.f64 (/.f64 (/.f64 (*.f64 y (*.f64 (*.f64 y (*.f64 x x)) (*.f64 y (*.f64 y (*.f64 x x))))) (*.f64 x (fma.f64 y (*.f64 y x) x))) (fma.f64 y x x)) (/.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (fma.f64 y (*.f64 y x) x))) (fma.f64 y x x)))
(-.f64 (/.f64 (*.f64 (*.f64 y x) (*.f64 (*.f64 (*.f64 y x) (*.f64 y (*.f64 y (*.f64 x x)))) (*.f64 y (*.f64 y (*.f64 x x))))) (*.f64 (fma.f64 (*.f64 y x) (fma.f64 y x x) (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 y (*.f64 y y) #s(literal -1 binary64))))) (/.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (fma.f64 (*.f64 y x) (fma.f64 y x x) (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 y (*.f64 y y) #s(literal -1 binary64))))))
(-.f64 (/.f64 (*.f64 (*.f64 y x) (*.f64 (*.f64 (*.f64 y x) (*.f64 y (*.f64 y (*.f64 x x)))) (*.f64 y (*.f64 y (*.f64 x x))))) (*.f64 (fma.f64 y x x) (*.f64 (fma.f64 (*.f64 y x) (fma.f64 y x x) (*.f64 x x)) (fma.f64 (*.f64 y x) (fma.f64 y x x) (*.f64 x x))))) (/.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (fma.f64 y x x) (*.f64 (fma.f64 (*.f64 y x) (fma.f64 y x x) (*.f64 x x)) (fma.f64 (*.f64 y x) (fma.f64 y x x) (*.f64 x x))))))
(-.f64 (/.f64 (*.f64 y (*.f64 (*.f64 y (*.f64 x x)) (*.f64 y (*.f64 y (*.f64 x x))))) (*.f64 (*.f64 x (fma.f64 y (*.f64 y x) x)) (fma.f64 y x x))) (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x (fma.f64 y (*.f64 y x) x)) (fma.f64 y x x))))
(-.f64 (/.f64 (*.f64 (*.f64 y (*.f64 y (*.f64 x x))) (fma.f64 y x x)) (*.f64 x (fma.f64 y (*.f64 y x) x))) (/.f64 (*.f64 (fma.f64 y x x) (*.f64 x x)) (*.f64 x (fma.f64 y (*.f64 y x) x))))
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 #s(literal 0 binary64) (fma.f64 x (fma.f64 y (*.f64 y x) x) (*.f64 #s(literal 0 binary64) (fma.f64 y x x))))) (/.f64 (*.f64 (*.f64 x (fma.f64 y (*.f64 y x) x)) (fma.f64 y x x)) (+.f64 #s(literal 0 binary64) (fma.f64 x (fma.f64 y (*.f64 y x) x) (*.f64 #s(literal 0 binary64) (fma.f64 y x x))))))
(-.f64 (/.f64 (*.f64 (*.f64 (*.f64 y x) (/.f64 y (+.f64 y #s(literal 1 binary64)))) (*.f64 (*.f64 (*.f64 y x) (/.f64 y (+.f64 y #s(literal 1 binary64)))) (*.f64 (*.f64 y x) (/.f64 y (+.f64 y #s(literal 1 binary64)))))) (fma.f64 (*.f64 (*.f64 y x) (/.f64 y (+.f64 y #s(literal 1 binary64)))) (*.f64 (*.f64 y x) (/.f64 y (+.f64 y #s(literal 1 binary64)))) (fma.f64 (/.f64 x (+.f64 y #s(literal 1 binary64))) (/.f64 x (+.f64 y #s(literal 1 binary64))) (*.f64 (*.f64 (*.f64 y x) (/.f64 y (+.f64 y #s(literal 1 binary64)))) (/.f64 x (+.f64 y #s(literal 1 binary64))))))) (/.f64 (*.f64 (/.f64 x (+.f64 y #s(literal 1 binary64))) (*.f64 (/.f64 x (+.f64 y #s(literal 1 binary64))) (/.f64 x (+.f64 y #s(literal 1 binary64))))) (fma.f64 (*.f64 (*.f64 y x) (/.f64 y (+.f64 y #s(literal 1 binary64)))) (*.f64 (*.f64 y x) (/.f64 y (+.f64 y #s(literal 1 binary64)))) (fma.f64 (/.f64 x (+.f64 y #s(literal 1 binary64))) (/.f64 x (+.f64 y #s(literal 1 binary64))) (*.f64 (*.f64 (*.f64 y x) (/.f64 y (+.f64 y #s(literal 1 binary64)))) (/.f64 x (+.f64 y #s(literal 1 binary64))))))))
(-.f64 (/.f64 (*.f64 (*.f64 (*.f64 y x) (/.f64 y (+.f64 y #s(literal 1 binary64)))) (*.f64 (*.f64 y x) (/.f64 y (+.f64 y #s(literal 1 binary64))))) (fma.f64 y x x)) (/.f64 (*.f64 (/.f64 x (+.f64 y #s(literal 1 binary64))) (/.f64 x (+.f64 y #s(literal 1 binary64)))) (fma.f64 y x x)))
(fma.f64 y x x)
(fma.f64 y (/.f64 (*.f64 y (*.f64 x x)) (fma.f64 y x x)) (/.f64 x (+.f64 y #s(literal 1 binary64))))
(fma.f64 x y x)
(fma.f64 x #s(literal -1 binary64) (*.f64 y x))
(fma.f64 x #s(literal 1 binary64) (*.f64 y x))
(fma.f64 x (/.f64 (*.f64 y y) (+.f64 y #s(literal 1 binary64))) (/.f64 x (+.f64 y #s(literal 1 binary64))))
(fma.f64 x (*.f64 y #s(literal -1 binary64)) x)
(fma.f64 x (neg.f64 y) x)
(fma.f64 x (/.f64 (*.f64 y (*.f64 y x)) (fma.f64 y x x)) (/.f64 x (+.f64 y #s(literal 1 binary64))))
(fma.f64 x (pow.f64 y #s(literal 1 binary64)) x)
(fma.f64 x (exp.f64 (log.f64 y)) x)
(fma.f64 x (exp.f64 (log.f64 #s(literal -1 binary64))) (*.f64 y x))
(fma.f64 (*.f64 y x) #s(literal -1 binary64) x)
(fma.f64 (*.f64 y x) (/.f64 y (+.f64 y #s(literal 1 binary64))) (/.f64 x (+.f64 y #s(literal 1 binary64))))
(fma.f64 (*.f64 y x) (/.f64 (*.f64 y x) (fma.f64 y x x)) (/.f64 x (+.f64 y #s(literal 1 binary64))))
(fma.f64 (*.f64 x (*.f64 x x)) (/.f64 #s(literal -1 binary64) (*.f64 x x)) (*.f64 y x))
(fma.f64 (*.f64 x (*.f64 x x)) (pow.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) #s(literal 1 binary64)) (*.f64 y x))
(fma.f64 (*.f64 y (*.f64 y (*.f64 x x))) (/.f64 #s(literal -1 binary64) (fma.f64 y x x)) (/.f64 x (+.f64 y #s(literal 1 binary64))))
(fma.f64 (*.f64 x x) (/.f64 #s(literal -1 binary64) x) (*.f64 y x))
(fma.f64 (*.f64 x x) (/.f64 (*.f64 y y) (fma.f64 y x x)) (/.f64 x (+.f64 y #s(literal 1 binary64))))
(fma.f64 (*.f64 x x) (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)) (*.f64 y x))
(fma.f64 (*.f64 y (*.f64 x x)) (/.f64 y (fma.f64 y x x)) (/.f64 x (+.f64 y #s(literal 1 binary64))))
(fma.f64 #s(literal -1 binary64) x (*.f64 y x))
(fma.f64 #s(literal -1 binary64) (*.f64 y x) x)
(fma.f64 #s(literal 1 binary64) x (*.f64 y x))
(fma.f64 (*.f64 y y) (/.f64 x (+.f64 y #s(literal 1 binary64))) (/.f64 x (+.f64 y #s(literal 1 binary64))))
(fma.f64 (*.f64 y (*.f64 y x)) (/.f64 x (fma.f64 y x x)) (/.f64 x (+.f64 y #s(literal 1 binary64))))
(fma.f64 (/.f64 x x) (/.f64 (*.f64 y (*.f64 y x)) (+.f64 y #s(literal 1 binary64))) (/.f64 x (+.f64 y #s(literal 1 binary64))))
(fma.f64 (/.f64 y x) (/.f64 (*.f64 y (*.f64 x x)) (+.f64 y #s(literal 1 binary64))) (/.f64 x (+.f64 y #s(literal 1 binary64))))
(fma.f64 (/.f64 (*.f64 y x) x) (/.f64 (*.f64 y x) (+.f64 y #s(literal 1 binary64))) (/.f64 x (+.f64 y #s(literal 1 binary64))))
(fma.f64 (/.f64 (*.f64 y y) x) (/.f64 (*.f64 x x) (+.f64 y #s(literal 1 binary64))) (/.f64 x (+.f64 y #s(literal 1 binary64))))
(fma.f64 (/.f64 (*.f64 y (*.f64 y x)) x) (/.f64 x (+.f64 y #s(literal 1 binary64))) (/.f64 x (+.f64 y #s(literal 1 binary64))))
(fma.f64 (*.f64 y #s(literal -1 binary64)) x x)
(fma.f64 (neg.f64 y) x x)
(fma.f64 (/.f64 (*.f64 y (*.f64 y (*.f64 x x))) (*.f64 x (fma.f64 y (*.f64 y x) x))) (fma.f64 y x x) (/.f64 x (+.f64 y #s(literal 1 binary64))))
(fma.f64 (/.f64 (*.f64 y (*.f64 y (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 y (*.f64 y y) #s(literal -1 binary64)))) (fma.f64 (*.f64 y x) (fma.f64 y x x) (*.f64 x x)) (/.f64 x (+.f64 y #s(literal 1 binary64))))
(fma.f64 (pow.f64 y #s(literal 1 binary64)) x x)
(fma.f64 (exp.f64 (log.f64 y)) x x)
(fma.f64 (exp.f64 (log.f64 #s(literal -1 binary64))) x (*.f64 y x))
(neg.f64 (fma.f64 y x x))
(/.f64 (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 y (*.f64 y y) #s(literal -1 binary64))) (fma.f64 (*.f64 y x) (fma.f64 y x x) (*.f64 x x)))
(/.f64 (*.f64 x (fma.f64 y x x)) x)
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal -1 binary64) (fma.f64 y x x))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 y x x)) #s(literal 1 binary64))))
(/.f64 (*.f64 x (fma.f64 y (*.f64 y x) x)) (fma.f64 y x x))
(/.f64 (fma.f64 (*.f64 (*.f64 y x) (*.f64 y (*.f64 y (*.f64 x x)))) (*.f64 (*.f64 y x) (*.f64 (*.f64 (*.f64 y x) (*.f64 y (*.f64 y (*.f64 x x)))) (*.f64 y (*.f64 y (*.f64 x x))))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))) (*.f64 (fma.f64 (*.f64 y x) (fma.f64 y x x) (*.f64 x x)) (fma.f64 (*.f64 y x) (*.f64 (*.f64 (*.f64 y x) (*.f64 y (*.f64 y (*.f64 x x)))) (*.f64 y (*.f64 y (*.f64 x x)))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 y (*.f64 y y) #s(literal -1 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 y x x)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 y x x)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 #s(literal -1 binary64) (fma.f64 y x x)))))
(/.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 y (*.f64 y y) #s(literal -1 binary64))) (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 y (*.f64 y y) #s(literal -1 binary64)))) (*.f64 (fma.f64 (*.f64 y x) (fma.f64 y x x) (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 y (*.f64 y y) #s(literal -1 binary64)))))
(/.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 y (*.f64 y y) #s(literal -1 binary64))) (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 y (*.f64 y y) #s(literal -1 binary64)))) (*.f64 (fma.f64 y x x) (*.f64 (fma.f64 (*.f64 y x) (fma.f64 y x x) (*.f64 x x)) (fma.f64 (*.f64 y x) (fma.f64 y x x) (*.f64 x x)))))
(/.f64 (*.f64 (*.f64 x (fma.f64 y (*.f64 y x) x)) (*.f64 x (fma.f64 y (*.f64 y x) x))) (*.f64 (*.f64 x (fma.f64 y (*.f64 y x) x)) (fma.f64 y x x)))
(/.f64 (-.f64 (*.f64 (*.f64 y (*.f64 y (*.f64 x x))) (fma.f64 y x x)) (*.f64 (fma.f64 y x x) (*.f64 x x))) (*.f64 x (fma.f64 y (*.f64 y x) x)))
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 y x) (*.f64 y (*.f64 y (*.f64 x x)))) (*.f64 (*.f64 y x) (*.f64 (*.f64 (*.f64 y x) (*.f64 y (*.f64 y (*.f64 x x)))) (*.f64 y (*.f64 y (*.f64 x x))))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 y x) (*.f64 (*.f64 (*.f64 y x) (*.f64 y (*.f64 y (*.f64 x x)))) (*.f64 y (*.f64 y (*.f64 x x)))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 y (*.f64 y y) #s(literal -1 binary64))))) (fma.f64 (*.f64 y x) (fma.f64 y x x) (*.f64 x x))))
(/.f64 (*.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 y (*.f64 y y) #s(literal -1 binary64))) (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 y (*.f64 y y) #s(literal -1 binary64)))) #s(literal 1 binary64)) (*.f64 (*.f64 (fma.f64 (*.f64 y x) (fma.f64 y x x) (*.f64 x x)) (fma.f64 (*.f64 y x) (fma.f64 y x x) (*.f64 x x))) (fma.f64 y x x)))
(/.f64 (*.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 y (*.f64 y y) #s(literal -1 binary64))) (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 y (*.f64 y y) #s(literal -1 binary64)))) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 y (*.f64 y y) #s(literal -1 binary64))) (fma.f64 (*.f64 y x) (fma.f64 y x x) (*.f64 x x))))
(/.f64 (*.f64 (*.f64 (*.f64 x (fma.f64 y (*.f64 y x) x)) (*.f64 x (fma.f64 y (*.f64 y x) x))) #s(literal 1 binary64)) (*.f64 (*.f64 x (fma.f64 y (*.f64 y x) x)) (fma.f64 y x x)))
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(/.f64 (-.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)) (*.f64 (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 x x) #s(literal 0 binary64))) (*.f64 y (*.f64 x (*.f64 x x))))) (*.f64 (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 x x) #s(literal 0 binary64))) (*.f64 x x)))
(/.f64 (-.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 y (*.f64 x (*.f64 x x))))) (*.f64 x (*.f64 x (*.f64 x x))))
(/.f64 (neg.f64 (/.f64 (*.f64 x (fma.f64 y (*.f64 y x) x)) x)) (neg.f64 (+.f64 y #s(literal 1 binary64))))
(/.f64 (neg.f64 (/.f64 (*.f64 x (fma.f64 y (*.f64 y x) x)) x)) (neg.f64 (+.f64 y #s(literal -1 binary64))))
(/.f64 (neg.f64 (/.f64 (*.f64 x (fma.f64 y (*.f64 y x) x)) (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 y (*.f64 y y) #s(literal -1 binary64))))) (neg.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 y x) (fma.f64 y x x) (*.f64 x x)))))
(/.f64 (neg.f64 (/.f64 (*.f64 x (fma.f64 y (*.f64 y x) x)) (*.f64 x (fma.f64 y (*.f64 y x) x)))) (neg.f64 (/.f64 #s(literal -1 binary64) (fma.f64 y x x))))
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 y (*.f64 y (*.f64 x x))) (fma.f64 y x x)) (*.f64 (fma.f64 y x x) (*.f64 x x)))) (*.f64 x (fma.f64 y (*.f64 y x) x)))
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(/.f64 (neg.f64 (*.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 y (*.f64 y y) #s(literal -1 binary64))) (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 y (*.f64 y y) #s(literal -1 binary64)))) #s(literal 1 binary64))) (neg.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 y (*.f64 y y) #s(literal -1 binary64))) (fma.f64 (*.f64 y x) (fma.f64 y x x) (*.f64 x x)))))
(/.f64 (neg.f64 (*.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 y (*.f64 y y) #s(literal -1 binary64))) (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 y (*.f64 y y) #s(literal -1 binary64)))) #s(literal 1 binary64))) (neg.f64 (*.f64 (*.f64 (fma.f64 (*.f64 y x) (fma.f64 y x x) (*.f64 x x)) (fma.f64 (*.f64 y x) (fma.f64 y x x) (*.f64 x x))) (fma.f64 y x x))))
(/.f64 (neg.f64 (*.f64 (*.f64 (*.f64 x (fma.f64 y (*.f64 y x) x)) (*.f64 x (fma.f64 y (*.f64 y x) x))) #s(literal 1 binary64))) (*.f64 (*.f64 x (fma.f64 y (*.f64 y x) x)) (fma.f64 y x x)))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 x (fma.f64 y (*.f64 y x) x)) (fma.f64 y x x)))) (neg.f64 (+.f64 #s(literal 0 binary64) (fma.f64 x (fma.f64 y (*.f64 y x) x) (*.f64 #s(literal 0 binary64) (fma.f64 y x x))))))
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 (*.f64 y x) (/.f64 y (+.f64 y #s(literal 1 binary64)))) (*.f64 (*.f64 (*.f64 y x) (/.f64 y (+.f64 y #s(literal 1 binary64)))) (*.f64 (*.f64 y x) (/.f64 y (+.f64 y #s(literal 1 binary64)))))) (*.f64 (/.f64 x (+.f64 y #s(literal 1 binary64))) (*.f64 (/.f64 x (+.f64 y #s(literal 1 binary64))) (/.f64 x (+.f64 y #s(literal 1 binary64))))))) (neg.f64 (fma.f64 (*.f64 (*.f64 y x) (/.f64 y (+.f64 y #s(literal 1 binary64)))) (*.f64 (*.f64 y x) (/.f64 y (+.f64 y #s(literal 1 binary64)))) (fma.f64 (/.f64 x (+.f64 y #s(literal 1 binary64))) (/.f64 x (+.f64 y #s(literal 1 binary64))) (*.f64 (*.f64 (*.f64 y x) (/.f64 y (+.f64 y #s(literal 1 binary64)))) (/.f64 x (+.f64 y #s(literal 1 binary64))))))))
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 (*.f64 y x) (/.f64 y (+.f64 y #s(literal 1 binary64)))) (*.f64 (*.f64 y x) (/.f64 y (+.f64 y #s(literal 1 binary64))))) (*.f64 (/.f64 x (+.f64 y #s(literal 1 binary64))) (/.f64 x (+.f64 y #s(literal 1 binary64)))))) (fma.f64 y x x))
(/.f64 (neg.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 y (*.f64 y y) #s(literal -1 binary64))) #s(literal 1 binary64))) (fma.f64 (*.f64 y x) (fma.f64 y x x) (*.f64 x x)))
(/.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 (*.f64 y x) (*.f64 y (*.f64 y (*.f64 x x)))) (*.f64 (*.f64 y x) (*.f64 (*.f64 (*.f64 y x) (*.f64 y (*.f64 y (*.f64 x x)))) (*.f64 y (*.f64 y (*.f64 x x))))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))) (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 y x) (fma.f64 y x x) (*.f64 x x))))) (neg.f64 (fma.f64 (*.f64 y x) (*.f64 (*.f64 (*.f64 y x) (*.f64 y (*.f64 y (*.f64 x x)))) (*.f64 y (*.f64 y (*.f64 x x)))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 y (*.f64 y y) #s(literal -1 binary64)))))))
(/.f64 (neg.f64 (*.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 y (*.f64 y y) #s(literal -1 binary64))) (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 y (*.f64 y y) #s(literal -1 binary64)))) (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 y x) (fma.f64 y x x) (*.f64 x x))))) (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 y (*.f64 y y) #s(literal -1 binary64))))
(/.f64 (neg.f64 (*.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 y (*.f64 y y) #s(literal -1 binary64))) (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 y (*.f64 y y) #s(literal -1 binary64)))) (/.f64 #s(literal -1 binary64) (fma.f64 y x x)))) (neg.f64 (*.f64 (fma.f64 (*.f64 y x) (fma.f64 y x x) (*.f64 x x)) (fma.f64 (*.f64 y x) (fma.f64 y x x) (*.f64 x x)))))
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(/.f64 (+.f64 #s(literal 0 binary64) (*.f64 (*.f64 x (fma.f64 y (*.f64 y x) x)) (fma.f64 y x x))) (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 x (fma.f64 y (*.f64 y x) x)) (*.f64 #s(literal 0 binary64) (fma.f64 y x x)))))
(/.f64 (fma.f64 (*.f64 (*.f64 y x) (/.f64 y (+.f64 y #s(literal 1 binary64)))) (*.f64 (*.f64 (*.f64 y x) (/.f64 y (+.f64 y #s(literal 1 binary64)))) (*.f64 (*.f64 y x) (/.f64 y (+.f64 y #s(literal 1 binary64))))) (*.f64 (/.f64 x (+.f64 y #s(literal 1 binary64))) (*.f64 (/.f64 x (+.f64 y #s(literal 1 binary64))) (/.f64 x (+.f64 y #s(literal 1 binary64)))))) (fma.f64 (*.f64 (*.f64 y x) (/.f64 y (+.f64 y #s(literal 1 binary64)))) (*.f64 (*.f64 y x) (/.f64 y (+.f64 y #s(literal 1 binary64)))) (-.f64 (*.f64 (/.f64 x (+.f64 y #s(literal 1 binary64))) (/.f64 x (+.f64 y #s(literal 1 binary64)))) (*.f64 (*.f64 (*.f64 y x) (/.f64 y (+.f64 y #s(literal 1 binary64)))) (/.f64 x (+.f64 y #s(literal 1 binary64)))))))
(pow.f64 (/.f64 #s(literal -1 binary64) (fma.f64 y x x)) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 y x x)) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 x (+.f64 y #s(literal -1 binary64)))
(*.f64 x (+.f64 y #s(literal 1 binary64)))
(*.f64 x (-.f64 #s(literal -1 binary64) y))
(*.f64 x (neg.f64 (+.f64 y #s(literal 1 binary64))))
(*.f64 (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 y (*.f64 y y) #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 y x) (fma.f64 y x x) (*.f64 x x))))
(*.f64 (fma.f64 (*.f64 y x) (fma.f64 y x x) (*.f64 x x)) (*.f64 (fma.f64 y x x) (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 y x) (fma.f64 y x x) (*.f64 x x)))))
(*.f64 (fma.f64 (*.f64 y x) (fma.f64 y x x) (*.f64 x x)) (/.f64 (fma.f64 y x x) (fma.f64 (*.f64 y x) (fma.f64 y x x) (*.f64 x x))))
(*.f64 #s(literal -1 binary64) (fma.f64 y x x))
(*.f64 (*.f64 x (fma.f64 y (*.f64 y x) x)) (/.f64 #s(literal -1 binary64) (fma.f64 y x x)))
(*.f64 (fma.f64 y x x) (*.f64 (fma.f64 y x x) (/.f64 #s(literal -1 binary64) (fma.f64 y x x))))
(*.f64 (fma.f64 y x x) (/.f64 (fma.f64 y x x) (fma.f64 y x x)))
(*.f64 #s(literal 1 binary64) (fma.f64 y x x))
(*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 y x x)) (*.f64 x (fma.f64 y (*.f64 y x) x)))
(*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 y x x)) (pow.f64 (/.f64 #s(literal -1 binary64) (*.f64 x (fma.f64 y (*.f64 y x) x))) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 y x) (fma.f64 y x x) (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 y (*.f64 y y) #s(literal -1 binary64))))
(*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 y x) (fma.f64 y x x) (*.f64 x x))) (pow.f64 (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 y (*.f64 y y) #s(literal -1 binary64)))) #s(literal -1 binary64)))
(*.f64 (+.f64 y #s(literal -1 binary64)) x)
(*.f64 (+.f64 y #s(literal 1 binary64)) x)
(*.f64 (/.f64 (fma.f64 y x x) x) (/.f64 (fma.f64 y x x) (+.f64 y #s(literal 1 binary64))))
(*.f64 (/.f64 (fma.f64 y x x) x) (/.f64 (fma.f64 y x x) (+.f64 y #s(literal -1 binary64))))
(*.f64 (/.f64 (fma.f64 y x x) (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 y (*.f64 y y) #s(literal -1 binary64)))) (/.f64 (fma.f64 y x x) (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 y x) (fma.f64 y x x) (*.f64 x x)))))
(*.f64 (/.f64 #s(literal -1 binary64) x) (pow.f64 (/.f64 (+.f64 y #s(literal 1 binary64)) (*.f64 x (fma.f64 y (*.f64 y x) x))) #s(literal -1 binary64)))
(*.f64 (/.f64 (*.f64 x (fma.f64 y (*.f64 y x) x)) (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 y (*.f64 y y) #s(literal -1 binary64)))) (fma.f64 (*.f64 y x) (fma.f64 y x x) (*.f64 x x)))
(*.f64 (/.f64 (*.f64 x (fma.f64 y (*.f64 y x) x)) (*.f64 x (fma.f64 y (*.f64 y x) x))) (fma.f64 y x x))
(*.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 y (*.f64 y y) #s(literal -1 binary64))) (fma.f64 (*.f64 y x) (*.f64 (*.f64 (*.f64 y x) (*.f64 y (*.f64 y (*.f64 x x)))) (*.f64 y (*.f64 y (*.f64 x x)))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (fma.f64 y (*.f64 y x) x)) (fma.f64 y x x))))) (fma.f64 (*.f64 x (fma.f64 y x x)) (-.f64 (*.f64 x (fma.f64 y x x)) (*.f64 y (*.f64 y (*.f64 x x)))) (*.f64 y (*.f64 (*.f64 y (*.f64 x x)) (*.f64 y (*.f64 y (*.f64 x x)))))))
(*.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 y (*.f64 y y) #s(literal -1 binary64))) (*.f64 (fma.f64 (*.f64 y x) (fma.f64 y x x) (*.f64 x x)) (fma.f64 (*.f64 y x) (fma.f64 y x x) (*.f64 x x)))) (fma.f64 (*.f64 y x) (fma.f64 y x x) (*.f64 x x)))
(*.f64 (/.f64 (*.f64 x (fma.f64 y (*.f64 y x) x)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 y x x)))
(*.f64 (pow.f64 (/.f64 x (fma.f64 y x x)) #s(literal -1 binary64)) (pow.f64 (/.f64 (+.f64 y #s(literal 1 binary64)) (fma.f64 y x x)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (fma.f64 (*.f64 y x) (fma.f64 y x x) (*.f64 x x)) (fma.f64 (*.f64 (*.f64 y x) (*.f64 y (*.f64 y (*.f64 x x)))) (*.f64 (*.f64 y x) (*.f64 (*.f64 (*.f64 y x) (*.f64 y (*.f64 y (*.f64 x x)))) (*.f64 y (*.f64 y (*.f64 x x))))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y x) (*.f64 (*.f64 (*.f64 y x) (*.f64 y (*.f64 y (*.f64 x x)))) (*.f64 y (*.f64 y (*.f64 x x)))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 y (*.f64 y y) #s(literal -1 binary64)))))))
(*.f64 (pow.f64 (/.f64 (fma.f64 (*.f64 y x) (fma.f64 y x x) (*.f64 x x)) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 y (*.f64 y y) #s(literal -1 binary64))) (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 y (*.f64 y y) #s(literal -1 binary64))))) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 y (*.f64 y y) #s(literal -1 binary64)))))
(*.f64 (pow.f64 (/.f64 (fma.f64 y x x) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 y (*.f64 y y) #s(literal -1 binary64))) (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 y (*.f64 y y) #s(literal -1 binary64))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 y x) (fma.f64 y x x) (*.f64 x x)) (fma.f64 (*.f64 y x) (fma.f64 y x x) (*.f64 x x)))))
(*.f64 (pow.f64 (/.f64 (fma.f64 y x x) (*.f64 (*.f64 x (fma.f64 y (*.f64 y x) x)) (*.f64 x (fma.f64 y (*.f64 y x) x)))) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (*.f64 x (fma.f64 y (*.f64 y x) x))))
x
(+.f64 x #s(literal 0 binary64))
(+.f64 #s(literal 0 binary64) x)
(exp.f64 (log.f64 x))
(exp.f64 (*.f64 (log.f64 x) #s(literal 1 binary64)))
(-.f64 #s(literal 0 binary64) x)
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 x x)) x)
(-.f64 (/.f64 #s(literal 0 binary64) x) x)
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 x x) #s(literal 0 binary64)))) x)
(fma.f64 x #s(literal -1 binary64) #s(literal 0 binary64))
(fma.f64 x #s(literal 1 binary64) #s(literal 0 binary64))
(fma.f64 x (exp.f64 (log.f64 #s(literal -1 binary64))) #s(literal 0 binary64))
(fma.f64 (*.f64 x (*.f64 x x)) (/.f64 #s(literal -1 binary64) (*.f64 x x)) #s(literal 0 binary64))
(fma.f64 (*.f64 x (*.f64 x x)) (pow.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) #s(literal 1 binary64)) #s(literal 0 binary64))
(fma.f64 (*.f64 x x) (/.f64 #s(literal -1 binary64) x) #s(literal 0 binary64))
(fma.f64 (*.f64 x x) (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)) #s(literal 0 binary64))
(fma.f64 #s(literal -1 binary64) x #s(literal 0 binary64))
(fma.f64 #s(literal 1 binary64) x #s(literal 0 binary64))
(fma.f64 (exp.f64 (log.f64 #s(literal -1 binary64))) x #s(literal 0 binary64))
(neg.f64 x)
(/.f64 (*.f64 x (*.f64 x x)) (*.f64 x x))
(/.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 x x) #s(literal 0 binary64))))
(/.f64 (*.f64 x (*.f64 x x)) (neg.f64 (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 x x) #s(literal 0 binary64)))))
(/.f64 (*.f64 x x) x)
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal -1 binary64) x)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 x (*.f64 x x))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x))
(/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 x x)))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x))))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 x x) #s(literal 0 binary64)))) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 x (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 x x) #s(literal 0 binary64)))))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (*.f64 x x)) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 x (*.f64 x x)))
(/.f64 (fma.f64 x (*.f64 x x) #s(literal 0 binary64)) (*.f64 x x))
(pow.f64 x #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64))
(pow.f64 (/.f64 x (*.f64 x x)) #s(literal -1 binary64))
(*.f64 x #s(literal -1 binary64))
(*.f64 x #s(literal 1 binary64))
(*.f64 x (exp.f64 (log.f64 #s(literal -1 binary64))))
(*.f64 (*.f64 x (*.f64 x x)) (/.f64 #s(literal -1 binary64) (*.f64 x x)))
(*.f64 (*.f64 x (*.f64 x x)) (pow.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) #s(literal 1 binary64)))
(*.f64 (*.f64 x x) (/.f64 #s(literal -1 binary64) x))
(*.f64 (*.f64 x x) (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)))
(*.f64 #s(literal -1 binary64) x)
(*.f64 #s(literal 1 binary64) x)
(*.f64 (exp.f64 (log.f64 #s(literal -1 binary64))) x)

simplify290.0ms (4.5%)

Memory
33.1MiB live, 267.0MiB allocated
Algorithm
1×egg-herbie
Rules
3 552×accelerator-lowering-fma.f32
3 552×accelerator-lowering-fma.f64
2 016×*-lowering-*.f32
2 016×*-lowering-*.f64
1 472×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
020137
164137
2149137
3276137
4599137
51806137
63066137
73528137
83809137
93979137
104013137
114545137
125815137
136637137
146968137
157046137
167046137
177538137
08070137
Stop Event
1×iter limit
1×node limit
Counts
36 → 36
Calls
Call 1
Inputs
(* -1 x)
(- (* x y) x)
(- (* x y) x)
(- (* x y) x)
(* x y)
(* y (+ x (* -1 (/ x y))))
(* y (+ x (* -1 (/ x y))))
(* y (+ x (* -1 (/ x y))))
(* x y)
(* -1 (* y (+ (* -1 x) (/ x y))))
(* -1 (* y (+ (* -1 x) (/ x y))))
(* -1 (* y (+ (* -1 x) (/ x y))))
(* x (- y 1))
(* x (- y 1))
(* x (- y 1))
(* x (- y 1))
(* x (- y 1))
(* x (- y 1))
(* x (- y 1))
(* x (- y 1))
(* -1 (* x (+ 1 (* -1 y))))
(* -1 (* x (+ 1 (* -1 y))))
(* -1 (* x (+ 1 (* -1 y))))
(* -1 (* x (+ 1 (* -1 y))))
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
Outputs
(* -1 x)
(neg.f64 x)
(- (* x y) x)
(-.f64 (*.f64 x y) x)
(- (* x y) x)
(-.f64 (*.f64 x y) x)
(- (* x y) x)
(-.f64 (*.f64 x y) x)
(* x y)
(*.f64 x y)
(* y (+ x (* -1 (/ x y))))
(-.f64 (*.f64 x y) x)
(* y (+ x (* -1 (/ x y))))
(-.f64 (*.f64 x y) x)
(* y (+ x (* -1 (/ x y))))
(-.f64 (*.f64 x y) x)
(* x y)
(*.f64 x y)
(* -1 (* y (+ (* -1 x) (/ x y))))
(-.f64 (*.f64 x y) x)
(* -1 (* y (+ (* -1 x) (/ x y))))
(-.f64 (*.f64 x y) x)
(* -1 (* y (+ (* -1 x) (/ x y))))
(-.f64 (*.f64 x y) x)
(* x (- y 1))
(-.f64 (*.f64 x y) x)
(* x (- y 1))
(-.f64 (*.f64 x y) x)
(* x (- y 1))
(-.f64 (*.f64 x y) x)
(* x (- y 1))
(-.f64 (*.f64 x y) x)
(* x (- y 1))
(-.f64 (*.f64 x y) x)
(* x (- y 1))
(-.f64 (*.f64 x y) x)
(* x (- y 1))
(-.f64 (*.f64 x y) x)
(* x (- y 1))
(-.f64 (*.f64 x y) x)
(* -1 (* x (+ 1 (* -1 y))))
(-.f64 (*.f64 x y) x)
(* -1 (* x (+ 1 (* -1 y))))
(-.f64 (*.f64 x y) x)
(* -1 (* x (+ 1 (* -1 y))))
(-.f64 (*.f64 x y) x)
(* -1 (* x (+ 1 (* -1 y))))
(-.f64 (*.f64 x y) x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)

eval42.0ms (0.6%)

Memory
-1.2MiB live, 87.4MiB allocated
Compiler

Compiled 9 397 to 808 computations (91.4% saved)

prune52.0ms (0.8%)

Memory
-18.1MiB live, 99.2MiB allocated
Pruning

9 alts after pruning (0 fresh and 9 done)

PrunedKeptTotal
New3370337
Fresh000
Picked011
Done088
Total3379346
Accuracy
100.0%
Counts
346 → 9
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓53.7%
(fma.f64 y x (*.f64 y #s(literal -1/2 binary64)))
✓50.2%
(fma.f64 y x (neg.f64 x))
✓51.6%
(fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64))
✓48.4%
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)
✓53.7%
(*.f64 y (+.f64 #s(literal -1/2 binary64) x))
✓24.4%
(*.f64 y x)
✓31.6%
(*.f64 y #s(literal -1/2 binary64))
✓28.2%
(neg.f64 x)
✓22.2%
#s(literal 918938533204673/1000000000000000 binary64)
Compiler

Compiled 117 to 64 computations (45.3% saved)

regimes23.0ms (0.3%)

Memory
-2.3MiB live, 34.3MiB allocated
Counts
13 → 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))
(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
(fma.f64 (+.f64 y #s(literal -1 binary64)) x (fma.f64 y #s(literal -1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64)))
Calls

4 calls:

8.0ms
y
5.0ms
x
4.0ms
(-.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 y #s(literal 1/2 binary64)))
4.0ms
(+.f64 (-.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 y #s(literal 1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64))
Results
AccuracySegmentsBranch
100.0%1x
100.0%1y
100.0%1(+.f64 (-.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 y #s(literal 1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64))
100.0%1(-.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 y #s(literal 1/2 binary64)))
Compiler

Compiled 30 to 22 computations (26.7% saved)

regimes20.0ms (0.3%)

Memory
-2.8MiB live, 34.9MiB allocated
Counts
11 → 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))
(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))
Outputs
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x))
Calls

4 calls:

7.0ms
x
4.0ms
y
4.0ms
(+.f64 (-.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 y #s(literal 1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64))
4.0ms
(-.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 y #s(literal 1/2 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)

regimes16.0ms (0.2%)

Memory
31.7MiB live, 31.7MiB 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))
(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) x)
(fma.f64 y x (*.f64 y #s(literal -1/2 binary64)))
Calls

4 calls:

4.0ms
y
4.0ms
x
4.0ms
(-.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 y #s(literal 1/2 binary64)))
4.0ms
(+.f64 (-.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 y #s(literal 1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64))
Results
AccuracySegmentsBranch
98.4%3x
98.6%3y
78.8%3(+.f64 (-.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 y #s(literal 1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64))
78.8%3(-.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 y #s(literal 1/2 binary64)))
Compiler

Compiled 30 to 22 computations (26.7% saved)

regimes7.0ms (0.1%)

Memory
-28.8MiB live, 8.4MiB 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

1 calls:

7.0ms
y
Results
AccuracySegmentsBranch
98.6%3y
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes6.0ms (0.1%)

Memory
12.3MiB live, 12.2MiB allocated
Counts
6 → 4
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
(*.f64 y x)
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)
(fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64))
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)
Calls

2 calls:

3.0ms
y
3.0ms
x
Results
AccuracySegmentsBranch
80.9%4x
77.6%3y
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes10.0ms (0.2%)

Memory
17.4MiB live, 17.4MiB allocated
Counts
5 → 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)
Outputs
(*.f64 y #s(literal -1/2 binary64))
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)
(*.f64 y #s(literal -1/2 binary64))
Calls

4 calls:

2.0ms
(-.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 y #s(literal 1/2 binary64)))
2.0ms
y
2.0ms
x
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
76.9%3y
69.4%5(+.f64 (-.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 y #s(literal 1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64))
69.4%5(-.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 y #s(literal 1/2 binary64)))
65.3%4x
Compiler

Compiled 30 to 22 computations (26.7% saved)

regimes14.0ms (0.2%)

Memory
-22.8MiB live, 19.9MiB 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:

8.0ms
y
2.0ms
(-.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 y #s(literal 1/2 binary64)))
2.0ms
(+.f64 (-.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 y #s(literal 1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64))
2.0ms
x
Results
AccuracySegmentsBranch
48.4%1x
48.4%1(+.f64 (-.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 y #s(literal 1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64))
48.4%1(-.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 y #s(literal 1/2 binary64)))
48.4%1y
Compiler

Compiled 30 to 22 computations (26.7% saved)

regimes7.0ms (0.1%)

Memory
17.7MiB live, 17.7MiB allocated
Counts
2 → 3
Calls
Call 1
Inputs
#s(literal 918938533204673/1000000000000000 binary64)
(neg.f64 x)
Outputs
(neg.f64 x)
#s(literal 918938533204673/1000000000000000 binary64)
(neg.f64 x)
Calls

4 calls:

2.0ms
(-.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 y #s(literal 1/2 binary64)))
2.0ms
(+.f64 (-.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 y #s(literal 1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64))
2.0ms
y
2.0ms
x
Results
AccuracySegmentsBranch
47.5%3x
29.9%2y
47.3%3(+.f64 (-.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 y #s(literal 1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64))
47.3%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)

regimes9.0ms (0.1%)

Memory
-23.3MiB live, 15.4MiB 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:

4.0ms
(-.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 y #s(literal 1/2 binary64)))
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
y
1.0ms
x
Results
AccuracySegmentsBranch
22.2%1y
22.2%1(+.f64 (-.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 y #s(literal 1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64))
22.2%1(-.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 y #s(literal 1/2 binary64)))
22.2%1x
Compiler

Compiled 30 to 22 computations (26.7% saved)

bsearch37.0ms (0.6%)

Memory
13.4MiB live, 50.9MiB allocated
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
20.0ms
2.464622626291212e-5
156888115013.1773
14.0ms
-6.8503615115824115
-0.0002038516129319758
Samples
20.0ms288×0valid
Compiler

Compiled 278 to 213 computations (23.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 13.0ms
const: 5.0ms (37.8% of total)
ival-mult: 4.0ms (30.2% of total)
ival-sub: 3.0ms (22.7% of total)
ival-add: 1.0ms (7.6% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch57.0ms (0.9%)

Memory
-10.7MiB live, 27.8MiB allocated
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
41.0ms
2.464622626291212e-5
156888115013.1773
13.0ms
-6.8503615115824115
-0.0002038516129319758
Samples
44.0ms288×0valid
Compiler

Compiled 268 to 213 computations (20.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 37.0ms
ival-sub: 27.0ms (73.2% of total)
const: 5.0ms (13.6% of total)
ival-mult: 3.0ms (8.1% of total)
ival-add: 1.0ms (2.7% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch45.0ms (0.7%)

Memory
29.4MiB live, 71.4MiB allocated
Algorithm
3×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
15.0ms
2.9057667590695776e-13
4.985983751171644e-7
16.0ms
-66530355.6095685
-3402708.8982641795
10.0ms
-9.08736169808529e+96
-7.598840773640509e+95
Samples
28.0ms352×0valid
Compiler

Compiled 296 to 245 computations (17.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 20.0ms
const: 9.0ms (46.1% of total)
ival-sub: 4.0ms (20.5% of total)
ival-mult: 4.0ms (20.5% of total)
ival-add: 2.0ms (10.2% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch38.0ms (0.6%)

Memory
-12.3MiB live, 64.6MiB allocated
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
18.0ms
2.464622626291212e-5
156888115013.1773
15.0ms
-112657585.12999135
-6.8503615115824115
Samples
22.0ms304×0valid
Compiler

Compiled 244 to 205 computations (16% saved)

Precisions
Click to see histograms. Total time spent on operations: 14.0ms
const: 5.0ms (36.6% of total)
ival-mult: 4.0ms (29.3% of total)
ival-sub: 3.0ms (22% of total)
ival-add: 1.0ms (7.3% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch44.0ms (0.7%)

Memory
-23.4MiB live, 61.3MiB allocated
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
12.0ms
32722849788131852000.0
6.651910361088476e+20
19.0ms
-3402708.8982641795
-4.6921679322252866e-8
Samples
18.0ms272×0valid
Compiler

Compiled 169 to 151 computations (10.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 12.0ms
const: 4.0ms (32.5% of total)
ival-sub: 3.0ms (24.4% of total)
ival-mult: 3.0ms (24.4% of total)
ival-add: 1.0ms (8.1% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

simplify10.0ms (0.2%)

Memory
22.1MiB live, 22.1MiB allocated
Algorithm
1×egg-herbie
Rules
14×+-commutative_binary64
10×*-commutative_binary64
10×sub-neg_binary64
8×if-if-or-not_binary32
4×neg-sub0_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
053110
177110
284110
387110
488110
Stop Event
1×saturated
Calls
Call 1
Inputs
(fma.f64 (+.f64 y #s(literal -1 binary64)) x (fma.f64 y #s(literal -1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64)))
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x))
(if (<=.f64 y #s(literal -3/2 binary64)) (*.f64 y (+.f64 #s(literal -1/2 binary64) x)) (if (<=.f64 y #s(literal 2476979795053773/2251799813685248 binary64)) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) (fma.f64 y x (*.f64 y #s(literal -1/2 binary64)))))
(if (<=.f64 y #s(literal -3039929748475085/2251799813685248 binary64)) (*.f64 y (+.f64 #s(literal -1/2 binary64) x)) (if (<=.f64 y #s(literal 3/2 binary64)) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) (*.f64 y (+.f64 #s(literal -1/2 binary64) x))))
(if (<=.f64 x #s(literal -950000000000000041440016304362859160472920628721718161908725069200592100324112223410083827023872 binary64)) (*.f64 y x) (if (<=.f64 x #s(literal -3450000 binary64)) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) (if (<=.f64 x #s(literal 3022314549036573/37778931862957161709568 binary64)) (fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64)) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x))))
(if (<=.f64 y #s(literal -470 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 33000000000000000000 binary64)) #s(literal 918938533204673/1000000000000000 binary64) (neg.f64 x)))
#s(literal 918938533204673/1000000000000000 binary64)
Outputs
(fma.f64 (+.f64 y #s(literal -1 binary64)) x (fma.f64 y #s(literal -1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64)))
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x))
(if (<=.f64 y #s(literal -3/2 binary64)) (*.f64 y (+.f64 #s(literal -1/2 binary64) x)) (if (<=.f64 y #s(literal 2476979795053773/2251799813685248 binary64)) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) (fma.f64 y x (*.f64 y #s(literal -1/2 binary64)))))
(if (<=.f64 y #s(literal -3/2 binary64)) (*.f64 y (+.f64 x #s(literal -1/2 binary64))) (if (<=.f64 y #s(literal 2476979795053773/2251799813685248 binary64)) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) (fma.f64 y x (*.f64 y #s(literal -1/2 binary64)))))
(if (<=.f64 y #s(literal -3039929748475085/2251799813685248 binary64)) (*.f64 y (+.f64 #s(literal -1/2 binary64) x)) (if (<=.f64 y #s(literal 3/2 binary64)) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) (*.f64 y (+.f64 #s(literal -1/2 binary64) x))))
(if (<=.f64 y #s(literal -3039929748475085/2251799813685248 binary64)) (*.f64 y (+.f64 x #s(literal -1/2 binary64))) (if (<=.f64 y #s(literal 3/2 binary64)) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) (*.f64 y (+.f64 x #s(literal -1/2 binary64)))))
(if (<=.f64 x #s(literal -950000000000000041440016304362859160472920628721718161908725069200592100324112223410083827023872 binary64)) (*.f64 y x) (if (<=.f64 x #s(literal -3450000 binary64)) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) (if (<=.f64 x #s(literal 3022314549036573/37778931862957161709568 binary64)) (fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64)) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x))))
(if (<=.f64 y #s(literal -470 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 33000000000000000000 binary64)) #s(literal 918938533204673/1000000000000000 binary64) (neg.f64 x)))
#s(literal 918938533204673/1000000000000000 binary64)

soundness1.3s (20.5%)

Memory
7.3MiB live, 675.0MiB allocated
Rules
11 900×accelerator-lowering-fma.f32
11 900×accelerator-lowering-fma.f64
8 842×accelerator-lowering-fma.f32
8 842×accelerator-lowering-fma.f64
8 626×accelerator-lowering-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01031
16431
251531
3771631
0824528
089713
1275685
2822685
32260685
45868685
08178648
01743
111743
284341
0863539
076593
1232592
2695520
31796520
46373520
08167501
Stop Event
1×done
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
Compiler

Compiled 240 to 144 computations (40% saved)

preprocess56.0ms (0.9%)

Memory
8.2MiB live, 122.9MiB allocated
Compiler

Compiled 268 to 126 computations (53% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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