Data.Colour.SRGB:transferFunction from colour-2.3.3

Time bar (total: 4.0s)

start0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated

analyze0.0ms (0%)

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

Compiled 9 to 8 computations (11.1% saved)

sample628.0ms (15.5%)

Memory
-3.6MiB live, 908.5MiB allocated
Samples
404.0ms8 253×0valid
0.0ms2×2valid
0.0ms1×1valid
Precisions
Click to see histograms. Total time spent on operations: 234.0ms
ival-mult: 115.0ms (49.2% of total)
ival-sub: 54.0ms (23.1% of total)
ival-add: 52.0ms (22.3% of total)
ival-true: 6.0ms (2.6% of total)
exact: 5.0ms (2.1% of total)
ival-assert: 3.0ms (1.3% of total)
adjust: 0.0ms (0% of total)
Bogosity

explain63.0ms (1.6%)

Memory
19.1MiB live, 141.3MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-(+.f64 x #s(literal 1 binary64))
00-0-(*.f64 (+.f64 x #s(literal 1 binary64)) y)
00-0-y
00-0-(-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) y) x)
00-0-#s(literal 1 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
25.0ms512×0valid
Compiler

Compiled 47 to 22 computations (53.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 10.0ms
ival-add: 4.0ms (38.2% of total)
ival-mult: 4.0ms (38.2% of total)
ival-sub: 2.0ms (19.1% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess57.0ms (1.4%)

Memory
-11.6MiB live, 107.1MiB allocated
Algorithm
1×egg-herbie
Rules
496×lower-fma.f64
496×lower-fma.f32
232×unsub-neg
192×lower-*.f32
190×lower-*.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01643
13939
212337
350935
4102335
5133535
6137635
7138035
067
097
1157
2277
3587
41097
51917
63547
75627
86367
96417
06416
Stop Event
1×iter limit
1×saturated
1×iter limit
1×saturated
Calls
Call 1
Inputs
(-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) y) x)
Outputs
(-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) y) x)
(fma.f64 y x (-.f64 y x))
Compiler

Compiled 7 to 6 computations (14.3% saved)

eval0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Compiler

Compiled 0 to 2 computations (-∞% saved)

prune1.0ms (0%)

Memory
1.8MiB live, 1.8MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶100.0%
(-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) y) x)
Compiler

Compiled 7 to 6 computations (14.3% saved)

simplify20.0ms (0.5%)

Memory
-3.2MiB live, 36.1MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 3 expressions of interest:

NewMetricScoreProgram
cost-diff0
(+.f64 x #s(literal 1 binary64))
cost-diff0
(-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) y) x)
cost-diff128
(*.f64 (+.f64 x #s(literal 1 binary64)) y)
Rules
496×lower-fma.f64
496×lower-fma.f32
192×lower-*.f32
190×lower-*.f64
136×lower-+.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0618
0918
11518
22718
35818
410918
519118
635418
756218
863618
964118
064116
Stop Event
1×iter limit
1×saturated
1×iter limit
Calls
Call 1
Inputs
(-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) y) x)
(*.f64 (+.f64 x #s(literal 1 binary64)) y)
(+.f64 x #s(literal 1 binary64))
x
#s(literal 1 binary64)
y
Outputs
(-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) y) x)
(fma.f64 y x (-.f64 y x))
(*.f64 (+.f64 x #s(literal 1 binary64)) y)
(fma.f64 y x y)
(+.f64 x #s(literal 1 binary64))
(-.f64 x #s(literal -1 binary64))
x
#s(literal 1 binary64)
y

localize16.0ms (0.4%)

Memory
-5.9MiB live, 33.2MiB allocated
Localize:

Found 3 expressions of interest:

NewMetricScoreProgram
accuracy0
(-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) y) x)
accuracy0
(+.f64 x #s(literal 1 binary64))
accuracy0.00390625
(*.f64 (+.f64 x #s(literal 1 binary64)) y)
Samples
12.0ms256×0valid
Compiler

Compiled 20 to 8 computations (60% saved)

Precisions
Click to see histograms. Total time spent on operations: 6.0ms
ival-mult: 3.0ms (54.2% of total)
ival-sub: 1.0ms (18.1% of total)
ival-add: 1.0ms (18.1% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series5.0ms (0.1%)

Memory
9.2MiB live, 9.2MiB allocated
Counts
3 → 60
Calls
Call 1
Inputs
#s(alt (*.f64 (+.f64 x #s(literal 1 binary64)) y) (patch (*.f64 (+.f64 x #s(literal 1 binary64)) y) #<representation binary64>) () ())
#s(alt (-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) y) x) (patch (-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) y) x) #<representation binary64>) () ())
#s(alt (+.f64 x #s(literal 1 binary64)) (patch (+.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())
Outputs
#s(alt (* y (+ 1 x)) (taylor 0 y) (#s(alt (*.f64 (+.f64 x #s(literal 1 binary64)) y) (patch (*.f64 (+.f64 x #s(literal 1 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 x)) (taylor 0 y) (#s(alt (*.f64 (+.f64 x #s(literal 1 binary64)) y) (patch (*.f64 (+.f64 x #s(literal 1 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 x)) (taylor 0 y) (#s(alt (*.f64 (+.f64 x #s(literal 1 binary64)) y) (patch (*.f64 (+.f64 x #s(literal 1 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 x)) (taylor 0 y) (#s(alt (*.f64 (+.f64 x #s(literal 1 binary64)) y) (patch (*.f64 (+.f64 x #s(literal 1 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor 0 y) (#s(alt (-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) y) x) (patch (-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) y) x) #<representation binary64>) () ())) ())
#s(alt (- (* y (+ 1 x)) x) (taylor 0 y) (#s(alt (-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) y) x) (patch (-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) y) x) #<representation binary64>) () ())) ())
#s(alt (- (* y (+ 1 x)) x) (taylor 0 y) (#s(alt (-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) y) x) (patch (-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) y) x) #<representation binary64>) () ())) ())
#s(alt (- (* y (+ 1 x)) x) (taylor 0 y) (#s(alt (-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) y) x) (patch (-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) y) x) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 x)) (taylor inf y) (#s(alt (*.f64 (+.f64 x #s(literal 1 binary64)) y) (patch (*.f64 (+.f64 x #s(literal 1 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 x)) (taylor inf y) (#s(alt (*.f64 (+.f64 x #s(literal 1 binary64)) y) (patch (*.f64 (+.f64 x #s(literal 1 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 x)) (taylor inf y) (#s(alt (*.f64 (+.f64 x #s(literal 1 binary64)) y) (patch (*.f64 (+.f64 x #s(literal 1 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 x)) (taylor inf y) (#s(alt (*.f64 (+.f64 x #s(literal 1 binary64)) y) (patch (*.f64 (+.f64 x #s(literal 1 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 x)) (taylor inf y) (#s(alt (-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) y) x) (patch (-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) y) x) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 (+ x (* -1 (/ x y))))) (taylor inf y) (#s(alt (-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) y) x) (patch (-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) y) x) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 (+ x (* -1 (/ x y))))) (taylor inf y) (#s(alt (-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) y) x) (patch (-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) y) x) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 (+ x (* -1 (/ x y))))) (taylor inf y) (#s(alt (-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) y) x) (patch (-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) y) x) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 x)) (taylor -inf y) (#s(alt (*.f64 (+.f64 x #s(literal 1 binary64)) y) (patch (*.f64 (+.f64 x #s(literal 1 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 x)) (taylor -inf y) (#s(alt (*.f64 (+.f64 x #s(literal 1 binary64)) y) (patch (*.f64 (+.f64 x #s(literal 1 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 x)) (taylor -inf y) (#s(alt (*.f64 (+.f64 x #s(literal 1 binary64)) y) (patch (*.f64 (+.f64 x #s(literal 1 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 x)) (taylor -inf y) (#s(alt (*.f64 (+.f64 x #s(literal 1 binary64)) y) (patch (*.f64 (+.f64 x #s(literal 1 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 x)) (taylor -inf y) (#s(alt (-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) y) x) (patch (-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) y) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ (* -1 (+ 1 x)) (/ x y)))) (taylor -inf y) (#s(alt (-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) y) x) (patch (-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) y) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ (* -1 (+ 1 x)) (/ x y)))) (taylor -inf y) (#s(alt (-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) y) x) (patch (-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) y) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ (* -1 (+ 1 x)) (/ x y)))) (taylor -inf y) (#s(alt (-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) y) x) (patch (-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) y) x) #<representation binary64>) () ())) ())
#s(alt y (taylor 0 x) (#s(alt (*.f64 (+.f64 x #s(literal 1 binary64)) y) (patch (*.f64 (+.f64 x #s(literal 1 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (+ y (* x y)) (taylor 0 x) (#s(alt (*.f64 (+.f64 x #s(literal 1 binary64)) y) (patch (*.f64 (+.f64 x #s(literal 1 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (+ y (* x y)) (taylor 0 x) (#s(alt (*.f64 (+.f64 x #s(literal 1 binary64)) y) (patch (*.f64 (+.f64 x #s(literal 1 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (+ y (* x y)) (taylor 0 x) (#s(alt (*.f64 (+.f64 x #s(literal 1 binary64)) y) (patch (*.f64 (+.f64 x #s(literal 1 binary64)) y) #<representation binary64>) () ())) ())
#s(alt y (taylor 0 x) (#s(alt (-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) y) x) (patch (-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) y) x) #<representation binary64>) () ())) ())
#s(alt (+ y (* x (- y 1))) (taylor 0 x) (#s(alt (-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) y) x) (patch (-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) y) x) #<representation binary64>) () ())) ())
#s(alt (+ y (* x (- y 1))) (taylor 0 x) (#s(alt (-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) y) x) (patch (-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) y) x) #<representation binary64>) () ())) ())
#s(alt (+ y (* x (- y 1))) (taylor 0 x) (#s(alt (-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) y) x) (patch (-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) y) x) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 x) (#s(alt (+.f64 x #s(literal 1 binary64)) (patch (+.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 x) (taylor 0 x) (#s(alt (+.f64 x #s(literal 1 binary64)) (patch (+.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 x) (taylor 0 x) (#s(alt (+.f64 x #s(literal 1 binary64)) (patch (+.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 x) (taylor 0 x) (#s(alt (+.f64 x #s(literal 1 binary64)) (patch (+.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor inf x) (#s(alt (*.f64 (+.f64 x #s(literal 1 binary64)) y) (patch (*.f64 (+.f64 x #s(literal 1 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* x (+ y (/ y x))) (taylor inf x) (#s(alt (*.f64 (+.f64 x #s(literal 1 binary64)) y) (patch (*.f64 (+.f64 x #s(literal 1 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* x (+ y (/ y x))) (taylor inf x) (#s(alt (*.f64 (+.f64 x #s(literal 1 binary64)) y) (patch (*.f64 (+.f64 x #s(literal 1 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* x (+ y (/ y x))) (taylor inf x) (#s(alt (*.f64 (+.f64 x #s(literal 1 binary64)) y) (patch (*.f64 (+.f64 x #s(literal 1 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* x (- y 1)) (taylor inf x) (#s(alt (-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) y) x) (patch (-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) y) x) #<representation binary64>) () ())) ())
#s(alt (* x (- (+ y (/ y x)) 1)) (taylor inf x) (#s(alt (-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) y) x) (patch (-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) y) x) #<representation binary64>) () ())) ())
#s(alt (* x (- (+ y (/ y x)) 1)) (taylor inf x) (#s(alt (-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) y) x) (patch (-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) y) x) #<representation binary64>) () ())) ())
#s(alt (* x (- (+ y (/ y x)) 1)) (taylor inf x) (#s(alt (-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) y) x) (patch (-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) y) x) #<representation binary64>) () ())) ())
#s(alt x (taylor inf x) (#s(alt (+.f64 x #s(literal 1 binary64)) (patch (+.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (/ 1 x))) (taylor inf x) (#s(alt (+.f64 x #s(literal 1 binary64)) (patch (+.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (/ 1 x))) (taylor inf x) (#s(alt (+.f64 x #s(literal 1 binary64)) (patch (+.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (/ 1 x))) (taylor inf x) (#s(alt (+.f64 x #s(literal 1 binary64)) (patch (+.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf x) (#s(alt (*.f64 (+.f64 x #s(literal 1 binary64)) y) (patch (*.f64 (+.f64 x #s(literal 1 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 y) (* -1 (/ y x))))) (taylor -inf x) (#s(alt (*.f64 (+.f64 x #s(literal 1 binary64)) y) (patch (*.f64 (+.f64 x #s(literal 1 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 y) (* -1 (/ y x))))) (taylor -inf x) (#s(alt (*.f64 (+.f64 x #s(literal 1 binary64)) y) (patch (*.f64 (+.f64 x #s(literal 1 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 y) (* -1 (/ y x))))) (taylor -inf x) (#s(alt (*.f64 (+.f64 x #s(literal 1 binary64)) y) (patch (*.f64 (+.f64 x #s(literal 1 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ 1 (* -1 y)))) (taylor -inf x) (#s(alt (-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) y) x) (patch (-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) y) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ 1 (+ (* -1 y) (* -1 (/ y x)))))) (taylor -inf x) (#s(alt (-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) y) x) (patch (-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) y) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ 1 (+ (* -1 y) (* -1 (/ y x)))))) (taylor -inf x) (#s(alt (-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) y) x) (patch (-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) y) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ 1 (+ (* -1 y) (* -1 (/ y x)))))) (taylor -inf x) (#s(alt (-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) y) x) (patch (-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) y) x) #<representation binary64>) () ())) ())
#s(alt x (taylor -inf x) (#s(alt (+.f64 x #s(literal 1 binary64)) (patch (+.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (/ 1 x))) (taylor -inf x) (#s(alt (+.f64 x #s(literal 1 binary64)) (patch (+.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (/ 1 x))) (taylor -inf x) (#s(alt (+.f64 x #s(literal 1 binary64)) (patch (+.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (/ 1 x))) (taylor -inf x) (#s(alt (+.f64 x #s(literal 1 binary64)) (patch (+.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
Calls

6 calls:

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

simplify191.0ms (4.7%)

Memory
6.9MiB live, 129.5MiB allocated
Algorithm
1×egg-herbie
Rules
4 192×lower-*.f64
4 192×lower-*.f32
3 480×lower-fma.f64
3 480×lower-fma.f32
1 904×div-sub
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
041291
1140291
2363291
3978291
42455291
53593291
64358291
75301291
85827291
96391291
107434291
08103250
Stop Event
1×iter limit
1×node limit
Counts
60 → 56
Calls
Call 1
Inputs
(* y (+ 1 x))
(* y (+ 1 x))
(* y (+ 1 x))
(* y (+ 1 x))
(* -1 x)
(- (* y (+ 1 x)) x)
(- (* y (+ 1 x)) x)
(- (* y (+ 1 x)) x)
(* y (+ 1 x))
(* y (+ 1 x))
(* y (+ 1 x))
(* y (+ 1 x))
(* y (+ 1 x))
(* y (+ 1 (+ x (* -1 (/ x y)))))
(* y (+ 1 (+ x (* -1 (/ x y)))))
(* y (+ 1 (+ x (* -1 (/ x y)))))
(* y (+ 1 x))
(* y (+ 1 x))
(* y (+ 1 x))
(* y (+ 1 x))
(* y (+ 1 x))
(* -1 (* y (+ (* -1 (+ 1 x)) (/ x y))))
(* -1 (* y (+ (* -1 (+ 1 x)) (/ x y))))
(* -1 (* y (+ (* -1 (+ 1 x)) (/ x y))))
y
(+ y (* x y))
(+ y (* x y))
(+ y (* x y))
y
(+ y (* x (- y 1)))
(+ y (* x (- y 1)))
(+ y (* x (- y 1)))
1
(+ 1 x)
(+ 1 x)
(+ 1 x)
(* x y)
(* x (+ y (/ y x)))
(* x (+ y (/ y x)))
(* x (+ y (/ y x)))
(* x (- y 1))
(* x (- (+ y (/ y x)) 1))
(* x (- (+ y (/ y x)) 1))
(* x (- (+ y (/ y x)) 1))
x
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
(* x y)
(* -1 (* x (+ (* -1 y) (* -1 (/ y x)))))
(* -1 (* x (+ (* -1 y) (* -1 (/ y x)))))
(* -1 (* x (+ (* -1 y) (* -1 (/ y x)))))
(* -1 (* x (+ 1 (* -1 y))))
(* -1 (* x (+ 1 (+ (* -1 y) (* -1 (/ y x))))))
(* -1 (* x (+ 1 (+ (* -1 y) (* -1 (/ y x))))))
(* -1 (* x (+ 1 (+ (* -1 y) (* -1 (/ y x))))))
x
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
Outputs
(* y (+ 1 x))
(fma.f64 x y y)
(* y (+ 1 x))
(fma.f64 x y y)
(* y (+ 1 x))
(fma.f64 x y y)
(* y (+ 1 x))
(fma.f64 x y y)
(* -1 x)
(neg.f64 x)
(- (* y (+ 1 x)) x)
(-.f64 (fma.f64 x y y) x)
(- (* y (+ 1 x)) x)
(-.f64 (fma.f64 x y y) x)
(- (* y (+ 1 x)) x)
(-.f64 (fma.f64 x y y) x)
(* y (+ 1 x))
(fma.f64 x y y)
(* y (+ 1 x))
(fma.f64 x y y)
(* y (+ 1 x))
(fma.f64 x y y)
(* y (+ 1 x))
(fma.f64 x y y)
(* y (+ 1 x))
(fma.f64 x y y)
(* y (+ 1 (+ x (* -1 (/ x y)))))
(-.f64 (fma.f64 x y y) x)
(* y (+ 1 (+ x (* -1 (/ x y)))))
(-.f64 (fma.f64 x y y) x)
(* y (+ 1 (+ x (* -1 (/ x y)))))
(-.f64 (fma.f64 x y y) x)
(* y (+ 1 x))
(fma.f64 x y y)
(* y (+ 1 x))
(fma.f64 x y y)
(* y (+ 1 x))
(fma.f64 x y y)
(* y (+ 1 x))
(fma.f64 x y y)
(* y (+ 1 x))
(fma.f64 x y y)
(* -1 (* y (+ (* -1 (+ 1 x)) (/ x y))))
(-.f64 (fma.f64 x y y) x)
(* -1 (* y (+ (* -1 (+ 1 x)) (/ x y))))
(-.f64 (fma.f64 x y y) x)
(* -1 (* y (+ (* -1 (+ 1 x)) (/ x y))))
(-.f64 (fma.f64 x y y) x)
y
(+ y (* x y))
(fma.f64 x y y)
(+ y (* x y))
(fma.f64 x y y)
(+ y (* x y))
(fma.f64 x y y)
y
(+ y (* x (- y 1)))
(-.f64 (fma.f64 x y y) x)
(+ y (* x (- y 1)))
(-.f64 (fma.f64 x y y) x)
(+ y (* x (- y 1)))
(-.f64 (fma.f64 x y y) x)
1
#s(literal 1 binary64)
(+ 1 x)
(-.f64 x #s(literal -1 binary64))
(+ 1 x)
(-.f64 x #s(literal -1 binary64))
(+ 1 x)
(-.f64 x #s(literal -1 binary64))
(* x y)
(*.f64 x y)
(* x (+ y (/ y x)))
(fma.f64 x y y)
(* x (+ y (/ y x)))
(fma.f64 x y y)
(* x (+ y (/ y x)))
(fma.f64 x y y)
(* x (- y 1))
(fma.f64 x y (neg.f64 x))
(* x (- (+ y (/ y x)) 1))
(-.f64 (fma.f64 x y y) x)
(* x (- (+ y (/ y x)) 1))
(-.f64 (fma.f64 x y y) x)
(* x (- (+ y (/ y x)) 1))
(-.f64 (fma.f64 x y y) x)
x
(* x (+ 1 (/ 1 x)))
(-.f64 x #s(literal -1 binary64))
(* x (+ 1 (/ 1 x)))
(-.f64 x #s(literal -1 binary64))
(* x (+ 1 (/ 1 x)))
(-.f64 x #s(literal -1 binary64))
(* x y)
(*.f64 x y)
(* -1 (* x (+ (* -1 y) (* -1 (/ y x)))))
(fma.f64 x y y)
(* -1 (* x (+ (* -1 y) (* -1 (/ y x)))))
(fma.f64 x y y)
(* -1 (* x (+ (* -1 y) (* -1 (/ y x)))))
(fma.f64 x y y)
(* -1 (* x (+ 1 (* -1 y))))
(fma.f64 x y (neg.f64 x))
(* -1 (* x (+ 1 (+ (* -1 y) (* -1 (/ y x))))))
(-.f64 (fma.f64 x y y) x)
(* -1 (* x (+ 1 (+ (* -1 y) (* -1 (/ y x))))))
(-.f64 (fma.f64 x y y) x)
(* -1 (* x (+ 1 (+ (* -1 y) (* -1 (/ y x))))))
(-.f64 (fma.f64 x y y) x)
x
(* x (+ 1 (/ 1 x)))
(-.f64 x #s(literal -1 binary64))
(* x (+ 1 (/ 1 x)))
(-.f64 x #s(literal -1 binary64))
(* x (+ 1 (/ 1 x)))
(-.f64 x #s(literal -1 binary64))

rewrite214.0ms (5.3%)

Memory
-4.7MiB live, 305.5MiB allocated
Rules
5 040×lower-fma.f64
5 040×lower-fma.f32
3 674×lower-/.f64
3 674×lower-/.f32
3 510×lower-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0615
0915
13815
226915
3336215
0849513
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
3 → 328
Calls
Call 1
Inputs
(*.f64 (+.f64 x #s(literal 1 binary64)) y)
(-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) y) x)
(+.f64 x #s(literal 1 binary64))
Outputs
(*.f64 (exp.f64 (log1p.f64 x)) (exp.f64 (log.f64 y)))
(*.f64 (exp.f64 (log.f64 y)) (exp.f64 (log1p.f64 x)))
(*.f64 (pow.f64 (/.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) y) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64)) (pow.f64 (fma.f64 (+.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) y) (fma.f64 x x #s(literal -1 binary64))) #s(literal 1 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) y y) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 2 binary64)))) #s(literal 1 binary64)) (pow.f64 (+.f64 (fma.f64 x x #s(literal -1 binary64)) x) #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) y y) (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) #s(literal 1 binary64)) (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) y) #s(literal 1 binary64)) (pow.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) y y) #s(literal 1 binary64)) (pow.f64 (pow.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 1 binary64)) (pow.f64 (/.f64 y (-.f64 x #s(literal 1 binary64))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 1 binary64)) (pow.f64 (*.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)) y) #s(literal 1 binary64)))
(*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 1 binary64)) (pow.f64 (/.f64 y (fma.f64 x x (-.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 1 binary64)) (pow.f64 (*.f64 (pow.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) y) #s(literal 1 binary64)))
(*.f64 (pow.f64 y #s(literal 1 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))
(*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) (pow.f64 y #s(literal 1 binary64)))
(*.f64 (/.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) y) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 (+.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)))
(*.f64 (/.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) y) (fma.f64 x x #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) x))
(*.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) y y) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 2 binary64)))) (+.f64 (fma.f64 x x #s(literal -1 binary64)) x))
(*.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) y y) (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64))))
(*.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) y) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) y y) (pow.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)))
(*.f64 (fma.f64 x x #s(literal -1 binary64)) (/.f64 y (-.f64 x #s(literal 1 binary64))))
(*.f64 (fma.f64 x x #s(literal -1 binary64)) (*.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)) y))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 y (fma.f64 x x (-.f64 #s(literal 1 binary64) x))))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (*.f64 (pow.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) y))
(*.f64 y (+.f64 #s(literal 1 binary64) x))
(*.f64 (+.f64 #s(literal 1 binary64) x) y)
(pow.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (*.f64 (fma.f64 x x #s(literal -1 binary64)) y)) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) (fma.f64 (pow.f64 x #s(literal 3 binary64)) y y)) #s(literal -1 binary64))
(pow.f64 (fma.f64 y x y) #s(literal 1 binary64))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) y)) (neg.f64 (-.f64 #s(literal 1 binary64) x)))
(/.f64 (neg.f64 (*.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) y)) (neg.f64 (-.f64 #s(literal 1 binary64) x)))
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) y)) (neg.f64 (neg.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)))))
(/.f64 (neg.f64 (*.f64 y (-.f64 #s(literal 1 binary64) (*.f64 x x)))) (neg.f64 (-.f64 #s(literal 1 binary64) x)))
(/.f64 (neg.f64 (*.f64 y (fma.f64 (neg.f64 x) x #s(literal 1 binary64)))) (neg.f64 (-.f64 #s(literal 1 binary64) x)))
(/.f64 (neg.f64 (*.f64 y (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)))) (neg.f64 (neg.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)))))
(/.f64 (neg.f64 (-.f64 (*.f64 y y) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))) (neg.f64 (-.f64 y (*.f64 y x))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (*.f64 y y))) (neg.f64 (-.f64 (*.f64 y x) y)))
(/.f64 (neg.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (*.f64 y x) #s(literal 3 binary64)))) (neg.f64 (fma.f64 y y (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (*.f64 y (*.f64 y x))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (-.f64 (*.f64 y y) (*.f64 (*.f64 y x) y)))))
(/.f64 (neg.f64 (neg.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) y))) (neg.f64 (-.f64 #s(literal 1 binary64) x)))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) y y))) (neg.f64 (neg.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)))))
(/.f64 (exp.f64 (log.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) y))) (exp.f64 (log.f64 (-.f64 x #s(literal 1 binary64)))))
(/.f64 (exp.f64 (log.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) y y))) (exp.f64 (log1p.f64 (*.f64 x (-.f64 x #s(literal 1 binary64))))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) y) (-.f64 #s(literal 1 binary64) x))
(/.f64 (*.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) y) (-.f64 #s(literal 1 binary64) x))
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) y) (neg.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x))))
(/.f64 (*.f64 y (-.f64 #s(literal 1 binary64) (*.f64 x x))) (-.f64 #s(literal 1 binary64) x))
(/.f64 (*.f64 y (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) x))
(/.f64 (*.f64 y (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x))))
(/.f64 (neg.f64 y) (neg.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))))
(/.f64 (-.f64 (*.f64 y y) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (-.f64 y (*.f64 y x)))
(/.f64 (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (*.f64 y y)) (-.f64 (*.f64 y x) y))
(/.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) (fma.f64 y y (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (*.f64 y (*.f64 y x)))))
(/.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (-.f64 (*.f64 y y) (*.f64 (*.f64 y x) y))))
(/.f64 (neg.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) y)) (-.f64 #s(literal 1 binary64) x))
(/.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) y y)) (neg.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x))))
(/.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) y) (-.f64 x #s(literal 1 binary64)))
(/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) y y) (fma.f64 x x (-.f64 #s(literal 1 binary64) x)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (*.f64 (fma.f64 x x #s(literal -1 binary64)) y))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) (fma.f64 (pow.f64 x #s(literal 3 binary64)) y y))))
(/.f64 y (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x #s(literal 1 binary64)) (*.f64 (fma.f64 x x #s(literal -1 binary64)) y)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) (fma.f64 (pow.f64 x #s(literal 3 binary64)) y y)))
(fma.f64 (*.f64 y x) #s(literal 1 binary64) y)
(fma.f64 y #s(literal 1 binary64) (*.f64 y x))
(fma.f64 y x y)
(fma.f64 #s(literal 1 binary64) (*.f64 y x) y)
(fma.f64 #s(literal 1 binary64) y (*.f64 y x))
(fma.f64 x y y)
(exp.f64 (*.f64 (+.f64 (log.f64 y) (log1p.f64 x)) #s(literal 1 binary64)))
(exp.f64 (+.f64 (log.f64 y) (log1p.f64 x)))
(+.f64 (*.f64 y x) y)
(+.f64 y (*.f64 y x))
(*.f64 (pow.f64 (/.f64 (fma.f64 y (+.f64 #s(literal 1 binary64) x) x) (-.f64 (pow.f64 (fma.f64 y x y) #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 x x (pow.f64 (fma.f64 y x y) #s(literal 2 binary64))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (fma.f64 y (+.f64 #s(literal 1 binary64) x) x) (-.f64 (pow.f64 (fma.f64 y x y) #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 (*.f64 x x) (fma.f64 x x (pow.f64 (fma.f64 y x y) #s(literal 2 binary64))) (pow.f64 (fma.f64 y x y) #s(literal 4 binary64))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (fma.f64 (fma.f64 y (+.f64 #s(literal 1 binary64) x) x) x (pow.f64 (fma.f64 y x y) #s(literal 2 binary64))) (-.f64 (pow.f64 (fma.f64 y x y) #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64)))) #s(literal -1 binary64)) (pow.f64 (-.f64 (pow.f64 (fma.f64 y x y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (fma.f64 (fma.f64 y (+.f64 #s(literal 1 binary64) x) x) x (pow.f64 (fma.f64 y x y) #s(literal 2 binary64))) (-.f64 (pow.f64 (fma.f64 y x y) #s(literal 9 binary64)) (pow.f64 x #s(literal 9 binary64)))) #s(literal -1 binary64)) (pow.f64 (+.f64 (-.f64 (pow.f64 (fma.f64 y x y) #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (pow.f64 (*.f64 (fma.f64 y x y) x) #s(literal 3 binary64))) #s(literal -1 binary64)))
(*.f64 (/.f64 (-.f64 (pow.f64 (fma.f64 y x y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (-.f64 (pow.f64 (fma.f64 y x y) #s(literal 4 binary64)) (pow.f64 (*.f64 (fma.f64 y (+.f64 #s(literal 1 binary64) x) x) x) #s(literal 2 binary64)))) (-.f64 (pow.f64 (fma.f64 y x y) #s(literal 2 binary64)) (*.f64 (fma.f64 y (+.f64 #s(literal 1 binary64) x) x) x)))
(*.f64 (/.f64 (-.f64 (pow.f64 (fma.f64 y x y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (fma.f64 y (+.f64 #s(literal 1 binary64) x) x) x) #s(literal 3 binary64)) (pow.f64 (fma.f64 y x y) #s(literal 6 binary64)))) (fma.f64 (*.f64 (fma.f64 y (+.f64 #s(literal 1 binary64) x) x) x) (-.f64 (*.f64 (fma.f64 y (+.f64 #s(literal 1 binary64) x) x) x) (pow.f64 (fma.f64 y x y) #s(literal 2 binary64))) (pow.f64 (fma.f64 y x y) #s(literal 4 binary64))))
(*.f64 (/.f64 (fma.f64 (neg.f64 x) x (pow.f64 (fma.f64 y x y) #s(literal 2 binary64))) (fma.f64 (neg.f64 x) x (pow.f64 (fma.f64 y x y) #s(literal 2 binary64)))) (-.f64 (fma.f64 y x y) x))
(*.f64 (/.f64 (fma.f64 (neg.f64 x) x (pow.f64 (fma.f64 y x y) #s(literal 2 binary64))) (-.f64 (pow.f64 (fma.f64 y x y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 x (-.f64 x (fma.f64 y x y)) (pow.f64 (fma.f64 y x y) #s(literal 2 binary64))))
(*.f64 (pow.f64 (fma.f64 y (+.f64 #s(literal 1 binary64) x) x) #s(literal -1 binary64)) (pow.f64 (pow.f64 (fma.f64 (neg.f64 x) x (pow.f64 (fma.f64 y x y) #s(literal 2 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (fma.f64 y (+.f64 #s(literal 1 binary64) x) x) #s(literal -1 binary64)) (fma.f64 (neg.f64 x) x (pow.f64 (fma.f64 y x y) #s(literal 2 binary64))))
(*.f64 (pow.f64 (fma.f64 (fma.f64 y (+.f64 #s(literal 1 binary64) x) x) x (pow.f64 (fma.f64 y x y) #s(literal 2 binary64))) #s(literal -1 binary64)) (pow.f64 (pow.f64 (-.f64 (pow.f64 (fma.f64 y x y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (fma.f64 (fma.f64 y (+.f64 #s(literal 1 binary64) x) x) x (pow.f64 (fma.f64 y x y) #s(literal 2 binary64))) #s(literal -1 binary64)) (-.f64 (pow.f64 (fma.f64 y x y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(*.f64 (neg.f64 (fma.f64 (neg.f64 x) x (pow.f64 (fma.f64 y x y) #s(literal 2 binary64)))) (pow.f64 (neg.f64 (fma.f64 y (+.f64 #s(literal 1 binary64) x) x)) #s(literal -1 binary64)))
(*.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 y x y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (neg.f64 (fma.f64 (fma.f64 y (+.f64 #s(literal 1 binary64) x) x) x (pow.f64 (fma.f64 y x y) #s(literal 2 binary64)))) #s(literal -1 binary64)))
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eval50.0ms (1.2%)

Memory
18.8MiB live, 138.8MiB allocated
Compiler

Compiled 7 966 to 1 055 computations (86.8% saved)

prune60.0ms (1.5%)

Memory
-22.6MiB live, 140.5MiB allocated
Pruning

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New3804384
Fresh000
Picked101
Done000
Total3814385
Accuracy
100.0%
Counts
385 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶73.1%
(-.f64 (*.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) x)
▶62.1%
(-.f64 #s(approx (* (+ x 1) y) (*.f64 x y)) x)
▶65.4%
#s(approx (- (* (+ x 1) y) x) (fma.f64 x y y))
▶35.4%
#s(approx (- (* (+ x 1) y) x) (neg.f64 x))
Compiler

Compiled 20 to 19 computations (5% saved)

simplify29.0ms (0.7%)

Memory
11.2MiB live, 47.8MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 10 expressions of interest:

NewMetricScoreProgram
cost-diff0
#s(approx (+ x 1) #s(literal 1 binary64))
cost-diff0
(*.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y)
cost-diff0
(-.f64 (*.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) x)
cost-diff0
(*.f64 x y)
cost-diff0
#s(approx (* (+ x 1) y) (*.f64 x y))
cost-diff0
(-.f64 #s(approx (* (+ x 1) y) (*.f64 x y)) x)
cost-diff0
(fma.f64 x y y)
cost-diff0
#s(approx (- (* (+ x 1) y) x) (fma.f64 x y y))
cost-diff0
(neg.f64 x)
cost-diff0
#s(approx (- (* (+ x 1) y) x) (neg.f64 x))
Rules
672×lower-fma.f32
670×lower-fma.f64
288×lower-*.f32
284×lower-*.f64
192×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01680
02276
13676
26176
39476
417276
531976
653376
774676
882276
982976
082976
Stop Event
1×iter limit
1×saturated
1×iter limit
Calls
Call 1
Inputs
#s(approx (- (* (+ x 1) y) x) (neg.f64 x))
(neg.f64 x)
x
#s(approx (- (* (+ x 1) y) x) (fma.f64 x y y))
(fma.f64 x y y)
x
y
(-.f64 #s(approx (* (+ x 1) y) (*.f64 x y)) x)
#s(approx (* (+ x 1) y) (*.f64 x y))
(*.f64 x y)
x
y
(-.f64 (*.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) x)
(*.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y)
#s(approx (+ x 1) #s(literal 1 binary64))
#s(literal 1 binary64)
y
x
Outputs
#s(approx (- (* (+ x 1) y) x) (neg.f64 x))
(neg.f64 x)
x
#s(approx (- (* (+ x 1) y) x) (fma.f64 x y y))
#s(approx (- (* (+ x 1) y) x) (fma.f64 y x y))
(fma.f64 x y y)
(fma.f64 y x y)
x
y
(-.f64 #s(approx (* (+ x 1) y) (*.f64 x y)) x)
(-.f64 #s(approx (* (+ x 1) y) (*.f64 y x)) x)
#s(approx (* (+ x 1) y) (*.f64 x y))
#s(approx (* (+ x 1) y) (*.f64 y x))
(*.f64 x y)
(*.f64 y x)
x
y
(-.f64 (*.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) x)
(fma.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y (neg.f64 x))
(*.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y)
#s(approx (+ x 1) #s(literal 1 binary64))
#s(literal 1 binary64)
y
x

localize27.0ms (0.7%)

Memory
-7.7MiB live, 71.3MiB allocated
Localize:

Found 10 expressions of interest:

NewMetricScoreProgram
accuracy0
(-.f64 (*.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) x)
accuracy0.00390625
(*.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y)
accuracy30.632746581892544
#s(approx (+ x 1) #s(literal 1 binary64))
accuracy0
(-.f64 #s(approx (* (+ x 1) y) (*.f64 x y)) x)
accuracy0
(*.f64 x y)
accuracy32.00154758651072
#s(approx (* (+ x 1) y) (*.f64 x y))
accuracy0
(fma.f64 x y y)
accuracy22.135632242449116
#s(approx (- (* (+ x 1) y) x) (fma.f64 x y y))
accuracy0
(neg.f64 x)
accuracy41.34068496649831
#s(approx (- (* (+ x 1) y) x) (neg.f64 x))
Samples
20.0ms256×0valid
Compiler

Compiled 61 to 11 computations (82% saved)

Precisions
Click to see histograms. Total time spent on operations: 10.0ms
ival-mult: 4.0ms (39.6% of total)
ival-add: 3.0ms (29.7% of total)
ival-neg: 2.0ms (19.8% of total)
ival-sub: 1.0ms (9.9% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series13.0ms (0.3%)

Memory
-11.1MiB live, 32.4MiB allocated
Counts
10 → 216
Calls
Call 1
Inputs
#s(alt #s(approx (- (* (+ x 1) y) x) (neg.f64 x)) (patch #s(approx (- (* (+ x 1) y) x) (neg.f64 x)) #<representation binary64>) () ())
#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())
#s(alt #s(approx (- (* (+ x 1) y) x) (fma.f64 x y y)) (patch #s(approx (- (* (+ x 1) y) x) (fma.f64 x y y)) #<representation binary64>) () ())
#s(alt (fma.f64 x y y) (patch (fma.f64 x y y) #<representation binary64>) () ())
#s(alt (-.f64 #s(approx (* (+ x 1) y) (*.f64 x y)) x) (patch (-.f64 #s(approx (* (+ x 1) y) (*.f64 x y)) x) #<representation binary64>) () ())
#s(alt #s(approx (* (+ x 1) y) (*.f64 x y)) (patch #s(approx (* (+ x 1) y) (*.f64 x y)) #<representation binary64>) () ())
#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())
#s(alt (-.f64 (*.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) x) (patch (-.f64 (*.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) x) #<representation binary64>) () ())
#s(alt (*.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) (patch (*.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) #<representation binary64>) () ())
#s(alt #s(approx (+ x 1) #s(literal 1 binary64)) (patch #s(approx (+ x 1) #s(literal 1 binary64)) #<representation binary64>) () ())
Outputs
#s(alt (* -1 x) (taylor 0 y) (#s(alt #s(approx (- (* (+ x 1) y) x) (neg.f64 x)) (patch #s(approx (- (* (+ x 1) y) x) (neg.f64 x)) #<representation binary64>) () ())) ())
#s(alt (- (* y (+ 1 x)) x) (taylor 0 y) (#s(alt #s(approx (- (* (+ x 1) y) x) (neg.f64 x)) (patch #s(approx (- (* (+ x 1) y) x) (neg.f64 x)) #<representation binary64>) () ())) ())
#s(alt (- (* y (+ 1 x)) x) (taylor 0 y) (#s(alt #s(approx (- (* (+ x 1) y) x) (neg.f64 x)) (patch #s(approx (- (* (+ x 1) y) x) (neg.f64 x)) #<representation binary64>) () ())) ())
#s(alt (- (* y (+ 1 x)) x) (taylor 0 y) (#s(alt #s(approx (- (* (+ x 1) y) x) (neg.f64 x)) (patch #s(approx (- (* (+ x 1) y) x) (neg.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor 0 y) (#s(alt #s(approx (- (* (+ x 1) y) x) (fma.f64 x y y)) (patch #s(approx (- (* (+ x 1) y) x) (fma.f64 x y y)) #<representation binary64>) () ())) ())
#s(alt (- (* y (+ 1 x)) x) (taylor 0 y) (#s(alt #s(approx (- (* (+ x 1) y) x) (fma.f64 x y y)) (patch #s(approx (- (* (+ x 1) y) x) (fma.f64 x y y)) #<representation binary64>) () ())) ())
#s(alt (- (* y (+ 1 x)) x) (taylor 0 y) (#s(alt #s(approx (- (* (+ x 1) y) x) (fma.f64 x y y)) (patch #s(approx (- (* (+ x 1) y) x) (fma.f64 x y y)) #<representation binary64>) () ())) ())
#s(alt (- (* y (+ 1 x)) x) (taylor 0 y) (#s(alt #s(approx (- (* (+ x 1) y) x) (fma.f64 x y y)) (patch #s(approx (- (* (+ x 1) y) x) (fma.f64 x y y)) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 x)) (taylor 0 y) (#s(alt (fma.f64 x y y) (patch (fma.f64 x y y) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 x)) (taylor 0 y) (#s(alt (fma.f64 x y y) (patch (fma.f64 x y y) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 x)) (taylor 0 y) (#s(alt (fma.f64 x y y) (patch (fma.f64 x y y) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 x)) (taylor 0 y) (#s(alt (fma.f64 x y y) (patch (fma.f64 x y y) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor 0 y) (#s(alt (-.f64 #s(approx (* (+ x 1) y) (*.f64 x y)) x) (patch (-.f64 #s(approx (* (+ x 1) y) (*.f64 x y)) x) #<representation binary64>) () ())) ())
#s(alt (- (* y (+ 1 x)) x) (taylor 0 y) (#s(alt (-.f64 #s(approx (* (+ x 1) y) (*.f64 x y)) x) (patch (-.f64 #s(approx (* (+ x 1) y) (*.f64 x y)) x) #<representation binary64>) () ())) ())
#s(alt (- (* y (+ 1 x)) x) (taylor 0 y) (#s(alt (-.f64 #s(approx (* (+ x 1) y) (*.f64 x y)) x) (patch (-.f64 #s(approx (* (+ x 1) y) (*.f64 x y)) x) #<representation binary64>) () ())) ())
#s(alt (- (* y (+ 1 x)) x) (taylor 0 y) (#s(alt (-.f64 #s(approx (* (+ x 1) y) (*.f64 x y)) x) (patch (-.f64 #s(approx (* (+ x 1) y) (*.f64 x y)) x) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 x)) (taylor 0 y) (#s(alt #s(approx (* (+ x 1) y) (*.f64 x y)) (patch #s(approx (* (+ x 1) y) (*.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 x)) (taylor 0 y) (#s(alt #s(approx (* (+ x 1) y) (*.f64 x y)) (patch #s(approx (* (+ x 1) y) (*.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 x)) (taylor 0 y) (#s(alt #s(approx (* (+ x 1) y) (*.f64 x y)) (patch #s(approx (* (+ x 1) y) (*.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 x)) (taylor 0 y) (#s(alt #s(approx (* (+ x 1) y) (*.f64 x y)) (patch #s(approx (* (+ x 1) y) (*.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 y) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 y) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 y) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 y) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor 0 y) (#s(alt (-.f64 (*.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) x) (patch (-.f64 (*.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) x) #<representation binary64>) () ())) ())
#s(alt (- (* y (+ 1 x)) x) (taylor 0 y) (#s(alt (-.f64 (*.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) x) (patch (-.f64 (*.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) x) #<representation binary64>) () ())) ())
#s(alt (- (* y (+ 1 x)) x) (taylor 0 y) (#s(alt (-.f64 (*.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) x) (patch (-.f64 (*.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) x) #<representation binary64>) () ())) ())
#s(alt (- (* y (+ 1 x)) x) (taylor 0 y) (#s(alt (-.f64 (*.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) x) (patch (-.f64 (*.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) x) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 x)) (taylor 0 y) (#s(alt (*.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) (patch (*.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 x)) (taylor 0 y) (#s(alt (*.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) (patch (*.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 x)) (taylor 0 y) (#s(alt (*.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) (patch (*.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 x)) (taylor 0 y) (#s(alt (*.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) (patch (*.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 x)) (taylor inf y) (#s(alt #s(approx (- (* (+ x 1) y) x) (neg.f64 x)) (patch #s(approx (- (* (+ x 1) y) x) (neg.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 (+ x (* -1 (/ x y))))) (taylor inf y) (#s(alt #s(approx (- (* (+ x 1) y) x) (neg.f64 x)) (patch #s(approx (- (* (+ x 1) y) x) (neg.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 (+ x (* -1 (/ x y))))) (taylor inf y) (#s(alt #s(approx (- (* (+ x 1) y) x) (neg.f64 x)) (patch #s(approx (- (* (+ x 1) y) x) (neg.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 (+ x (* -1 (/ x y))))) (taylor inf y) (#s(alt #s(approx (- (* (+ x 1) y) x) (neg.f64 x)) (patch #s(approx (- (* (+ x 1) y) x) (neg.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 x)) (taylor inf y) (#s(alt #s(approx (- (* (+ x 1) y) x) (fma.f64 x y y)) (patch #s(approx (- (* (+ x 1) y) x) (fma.f64 x y y)) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 (+ x (* -1 (/ x y))))) (taylor inf y) (#s(alt #s(approx (- (* (+ x 1) y) x) (fma.f64 x y y)) (patch #s(approx (- (* (+ x 1) y) x) (fma.f64 x y y)) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 (+ x (* -1 (/ x y))))) (taylor inf y) (#s(alt #s(approx (- (* (+ x 1) y) x) (fma.f64 x y y)) (patch #s(approx (- (* (+ x 1) y) x) (fma.f64 x y y)) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 (+ x (* -1 (/ x y))))) (taylor inf y) (#s(alt #s(approx (- (* (+ x 1) y) x) (fma.f64 x y y)) (patch #s(approx (- (* (+ x 1) y) x) (fma.f64 x y y)) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 x)) (taylor inf y) (#s(alt (fma.f64 x y y) (patch (fma.f64 x y y) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 x)) (taylor inf y) (#s(alt (fma.f64 x y y) (patch (fma.f64 x y y) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 x)) (taylor inf y) (#s(alt (fma.f64 x y y) (patch (fma.f64 x y y) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 x)) (taylor inf y) (#s(alt (fma.f64 x y y) (patch (fma.f64 x y y) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 x)) (taylor inf y) (#s(alt (-.f64 #s(approx (* (+ x 1) y) (*.f64 x y)) x) (patch (-.f64 #s(approx (* (+ x 1) y) (*.f64 x y)) x) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 (+ x (* -1 (/ x y))))) (taylor inf y) (#s(alt (-.f64 #s(approx (* (+ x 1) y) (*.f64 x y)) x) (patch (-.f64 #s(approx (* (+ x 1) y) (*.f64 x y)) x) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 (+ x (* -1 (/ x y))))) (taylor inf y) (#s(alt (-.f64 #s(approx (* (+ x 1) y) (*.f64 x y)) x) (patch (-.f64 #s(approx (* (+ x 1) y) (*.f64 x y)) x) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 (+ x (* -1 (/ x y))))) (taylor inf y) (#s(alt (-.f64 #s(approx (* (+ x 1) y) (*.f64 x y)) x) (patch (-.f64 #s(approx (* (+ x 1) y) (*.f64 x y)) x) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 x)) (taylor inf y) (#s(alt #s(approx (* (+ x 1) y) (*.f64 x y)) (patch #s(approx (* (+ x 1) y) (*.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 x)) (taylor inf y) (#s(alt #s(approx (* (+ x 1) y) (*.f64 x y)) (patch #s(approx (* (+ x 1) y) (*.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 x)) (taylor inf y) (#s(alt #s(approx (* (+ x 1) y) (*.f64 x y)) (patch #s(approx (* (+ x 1) y) (*.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 x)) (taylor inf y) (#s(alt #s(approx (* (+ x 1) y) (*.f64 x y)) (patch #s(approx (* (+ x 1) y) (*.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor inf y) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor inf y) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor inf y) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor inf y) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 x)) (taylor inf y) (#s(alt (-.f64 (*.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) x) (patch (-.f64 (*.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) x) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 (+ x (* -1 (/ x y))))) (taylor inf y) (#s(alt (-.f64 (*.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) x) (patch (-.f64 (*.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) x) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 (+ x (* -1 (/ x y))))) (taylor inf y) (#s(alt (-.f64 (*.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) x) (patch (-.f64 (*.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) x) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 (+ x (* -1 (/ x y))))) (taylor inf y) (#s(alt (-.f64 (*.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) x) (patch (-.f64 (*.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) x) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 x)) (taylor inf y) (#s(alt (*.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) (patch (*.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 x)) (taylor inf y) (#s(alt (*.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) (patch (*.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 x)) (taylor inf y) (#s(alt (*.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) (patch (*.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 x)) (taylor inf y) (#s(alt (*.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) (patch (*.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 x)) (taylor -inf y) (#s(alt #s(approx (- (* (+ x 1) y) x) (neg.f64 x)) (patch #s(approx (- (* (+ x 1) y) x) (neg.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ (* -1 (+ 1 x)) (/ x y)))) (taylor -inf y) (#s(alt #s(approx (- (* (+ x 1) y) x) (neg.f64 x)) (patch #s(approx (- (* (+ x 1) y) x) (neg.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ (* -1 (+ 1 x)) (/ x y)))) (taylor -inf y) (#s(alt #s(approx (- (* (+ x 1) y) x) (neg.f64 x)) (patch #s(approx (- (* (+ x 1) y) x) (neg.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ (* -1 (+ 1 x)) (/ x y)))) (taylor -inf y) (#s(alt #s(approx (- (* (+ x 1) y) x) (neg.f64 x)) (patch #s(approx (- (* (+ x 1) y) x) (neg.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 x)) (taylor -inf y) (#s(alt #s(approx (- (* (+ x 1) y) x) (fma.f64 x y y)) (patch #s(approx (- (* (+ x 1) y) x) (fma.f64 x y y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ (* -1 (+ 1 x)) (/ x y)))) (taylor -inf y) (#s(alt #s(approx (- (* (+ x 1) y) x) (fma.f64 x y y)) (patch #s(approx (- (* (+ x 1) y) x) (fma.f64 x y y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ (* -1 (+ 1 x)) (/ x y)))) (taylor -inf y) (#s(alt #s(approx (- (* (+ x 1) y) x) (fma.f64 x y y)) (patch #s(approx (- (* (+ x 1) y) x) (fma.f64 x y y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ (* -1 (+ 1 x)) (/ x y)))) (taylor -inf y) (#s(alt #s(approx (- (* (+ x 1) y) x) (fma.f64 x y y)) (patch #s(approx (- (* (+ x 1) y) x) (fma.f64 x y y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (- (* -1 x) 1))) (taylor -inf y) (#s(alt (fma.f64 x y y) (patch (fma.f64 x y y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (- (* -1 x) 1))) (taylor -inf y) (#s(alt (fma.f64 x y y) (patch (fma.f64 x y y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (- (* -1 x) 1))) (taylor -inf y) (#s(alt (fma.f64 x y y) (patch (fma.f64 x y y) #<representation binary64>) () ())) ())
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#s(alt (* -1 (* x (+ 1 (+ (* -1 y) (* -1 (/ y x)))))) (taylor -inf x) (#s(alt #s(approx (- (* (+ x 1) y) x) (fma.f64 x y y)) (patch #s(approx (- (* (+ x 1) y) x) (fma.f64 x y y)) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf x) (#s(alt (fma.f64 x y y) (patch (fma.f64 x y y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 y) (* -1 (/ y x))))) (taylor -inf x) (#s(alt (fma.f64 x y y) (patch (fma.f64 x y y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 y) (* -1 (/ y x))))) (taylor -inf x) (#s(alt (fma.f64 x y y) (patch (fma.f64 x y y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 y) (* -1 (/ y x))))) (taylor -inf x) (#s(alt (fma.f64 x y y) (patch (fma.f64 x y y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ 1 (* -1 y)))) (taylor -inf x) (#s(alt (-.f64 #s(approx (* (+ x 1) y) (*.f64 x y)) x) (patch (-.f64 #s(approx (* (+ x 1) y) (*.f64 x y)) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ 1 (+ (* -1 y) (* -1 (/ y x)))))) (taylor -inf x) (#s(alt (-.f64 #s(approx (* (+ x 1) y) (*.f64 x y)) x) (patch (-.f64 #s(approx (* (+ x 1) y) (*.f64 x y)) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ 1 (+ (* -1 y) (* -1 (/ y x)))))) (taylor -inf x) (#s(alt (-.f64 #s(approx (* (+ x 1) y) (*.f64 x y)) x) (patch (-.f64 #s(approx (* (+ x 1) y) (*.f64 x y)) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ 1 (+ (* -1 y) (* -1 (/ y x)))))) (taylor -inf x) (#s(alt (-.f64 #s(approx (* (+ x 1) y) (*.f64 x y)) x) (patch (-.f64 #s(approx (* (+ x 1) y) (*.f64 x y)) x) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf x) (#s(alt #s(approx (* (+ x 1) y) (*.f64 x y)) (patch #s(approx (* (+ x 1) y) (*.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 y) (* -1 (/ y x))))) (taylor -inf x) (#s(alt #s(approx (* (+ x 1) y) (*.f64 x y)) (patch #s(approx (* (+ x 1) y) (*.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 y) (* -1 (/ y x))))) (taylor -inf x) (#s(alt #s(approx (* (+ x 1) y) (*.f64 x y)) (patch #s(approx (* (+ x 1) y) (*.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 y) (* -1 (/ y x))))) (taylor -inf x) (#s(alt #s(approx (* (+ x 1) y) (*.f64 x y)) (patch #s(approx (* (+ x 1) y) (*.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf x) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf x) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf x) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf x) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ 1 (* -1 y)))) (taylor -inf x) (#s(alt (-.f64 (*.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) x) (patch (-.f64 (*.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ 1 (+ (* -1 y) (* -1 (/ y x)))))) (taylor -inf x) (#s(alt (-.f64 (*.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) x) (patch (-.f64 (*.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ 1 (+ (* -1 y) (* -1 (/ y x)))))) (taylor -inf x) (#s(alt (-.f64 (*.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) x) (patch (-.f64 (*.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ 1 (+ (* -1 y) (* -1 (/ y x)))))) (taylor -inf x) (#s(alt (-.f64 (*.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) x) (patch (-.f64 (*.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) x) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf x) (#s(alt (*.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) (patch (*.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 y) (* -1 (/ y x))))) (taylor -inf x) (#s(alt (*.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) (patch (*.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 y) (* -1 (/ y x))))) (taylor -inf x) (#s(alt (*.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) (patch (*.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 y) (* -1 (/ y x))))) (taylor -inf x) (#s(alt (*.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) (patch (*.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) #<representation binary64>) () ())) ())
#s(alt x (taylor -inf x) (#s(alt #s(approx (+ x 1) #s(literal 1 binary64)) (patch #s(approx (+ x 1) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (/ 1 x))) (taylor -inf x) (#s(alt #s(approx (+ x 1) #s(literal 1 binary64)) (patch #s(approx (+ x 1) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (/ 1 x))) (taylor -inf x) (#s(alt #s(approx (+ x 1) #s(literal 1 binary64)) (patch #s(approx (+ x 1) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (/ 1 x))) (taylor -inf x) (#s(alt #s(approx (+ x 1) #s(literal 1 binary64)) (patch #s(approx (+ x 1) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
Calls

6 calls:

TimeVariablePointExpression
1.0ms
x
@inf
((- (* (+ x 1) y) x) (neg x) (- (* (+ x 1) y) x) (+ (* x y) y) (- (* (+ x 1) y) x) (* (+ x 1) y) (* x y) (- (* (+ x 1) y) x) (* (+ x 1) y) (+ x 1))
1.0ms
y
@-inf
((- (* (+ x 1) y) x) (neg x) (- (* (+ x 1) y) x) (+ (* x y) y) (- (* (+ x 1) y) x) (* (+ x 1) y) (* x y) (- (* (+ x 1) y) x) (* (+ x 1) y) (+ x 1))
1.0ms
y
@inf
((- (* (+ x 1) y) x) (neg x) (- (* (+ x 1) y) x) (+ (* x y) y) (- (* (+ x 1) y) x) (* (+ x 1) y) (* x y) (- (* (+ x 1) y) x) (* (+ x 1) y) (+ x 1))
1.0ms
x
@-inf
((- (* (+ x 1) y) x) (neg x) (- (* (+ x 1) y) x) (+ (* x y) y) (- (* (+ x 1) y) x) (* (+ x 1) y) (* x y) (- (* (+ x 1) y) x) (* (+ x 1) y) (+ x 1))
1.0ms
y
@0
((- (* (+ x 1) y) x) (neg x) (- (* (+ x 1) y) x) (+ (* x y) y) (- (* (+ x 1) y) x) (* (+ x 1) y) (* x y) (- (* (+ x 1) y) x) (* (+ x 1) y) (+ x 1))

simplify192.0ms (4.8%)

Memory
22.5MiB live, 138.5MiB allocated
Algorithm
1×egg-herbie
Rules
4 204×lower-*.f64
4 204×lower-*.f32
3 480×lower-fma.f64
3 480×lower-fma.f32
1 918×div-sub
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0441058
11491058
23981058
310171058
424991058
536331058
643991058
753411058
858671058
964291058
1074721058
08027915
Stop Event
1×iter limit
1×node limit
Counts
216 → 207
Calls
Call 1
Inputs
(* -1 x)
(- (* y (+ 1 x)) x)
(- (* y (+ 1 x)) x)
(- (* y (+ 1 x)) x)
(* -1 x)
(- (* y (+ 1 x)) x)
(- (* y (+ 1 x)) x)
(- (* y (+ 1 x)) x)
(* y (+ 1 x))
(* y (+ 1 x))
(* y (+ 1 x))
(* y (+ 1 x))
(* -1 x)
(- (* y (+ 1 x)) x)
(- (* y (+ 1 x)) x)
(- (* y (+ 1 x)) x)
(* y (+ 1 x))
(* y (+ 1 x))
(* y (+ 1 x))
(* y (+ 1 x))
(* x y)
(* x y)
(* x y)
(* x y)
(* -1 x)
(- (* y (+ 1 x)) x)
(- (* y (+ 1 x)) x)
(- (* y (+ 1 x)) x)
(* y (+ 1 x))
(* y (+ 1 x))
(* y (+ 1 x))
(* y (+ 1 x))
(* y (+ 1 x))
(* y (+ 1 (+ x (* -1 (/ x y)))))
(* y (+ 1 (+ x (* -1 (/ x y)))))
(* y (+ 1 (+ x (* -1 (/ x y)))))
(* y (+ 1 x))
(* y (+ 1 (+ x (* -1 (/ x y)))))
(* y (+ 1 (+ x (* -1 (/ x y)))))
(* y (+ 1 (+ x (* -1 (/ x y)))))
(* y (+ 1 x))
(* y (+ 1 x))
(* y (+ 1 x))
(* y (+ 1 x))
(* y (+ 1 x))
(* y (+ 1 (+ x (* -1 (/ x y)))))
(* y (+ 1 (+ x (* -1 (/ x y)))))
(* y (+ 1 (+ x (* -1 (/ x y)))))
(* y (+ 1 x))
(* y (+ 1 x))
(* y (+ 1 x))
(* y (+ 1 x))
(* x y)
(* x y)
(* x y)
(* x y)
(* y (+ 1 x))
(* y (+ 1 (+ x (* -1 (/ x y)))))
(* y (+ 1 (+ x (* -1 (/ x y)))))
(* y (+ 1 (+ x (* -1 (/ x y)))))
(* y (+ 1 x))
(* y (+ 1 x))
(* y (+ 1 x))
(* y (+ 1 x))
(* y (+ 1 x))
(* -1 (* y (+ (* -1 (+ 1 x)) (/ x y))))
(* -1 (* y (+ (* -1 (+ 1 x)) (/ x y))))
(* -1 (* y (+ (* -1 (+ 1 x)) (/ x y))))
(* y (+ 1 x))
(* -1 (* y (+ (* -1 (+ 1 x)) (/ x y))))
(* -1 (* y (+ (* -1 (+ 1 x)) (/ x y))))
(* -1 (* y (+ (* -1 (+ 1 x)) (/ x y))))
(* -1 (* y (- (* -1 x) 1)))
(* -1 (* y (- (* -1 x) 1)))
(* -1 (* y (- (* -1 x) 1)))
(* -1 (* y (- (* -1 x) 1)))
(* y (+ 1 x))
(* -1 (* y (+ (* -1 (+ 1 x)) (/ x y))))
(* -1 (* y (+ (* -1 (+ 1 x)) (/ x y))))
(* -1 (* y (+ (* -1 (+ 1 x)) (/ x y))))
(* y (+ 1 x))
(* y (+ 1 x))
(* y (+ 1 x))
(* y (+ 1 x))
(* x y)
(* x y)
(* x y)
(* x y)
(* y (+ 1 x))
(* -1 (* y (+ (* -1 (+ 1 x)) (/ x y))))
(* -1 (* y (+ (* -1 (+ 1 x)) (/ x y))))
(* -1 (* y (+ (* -1 (+ 1 x)) (/ x y))))
(* y (+ 1 x))
(* y (+ 1 x))
(* y (+ 1 x))
(* y (+ 1 x))
y
(+ y (* x (- y 1)))
(+ y (* x (- y 1)))
(+ y (* x (- y 1)))
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
y
(+ y (* x (- y 1)))
(+ y (* x (- y 1)))
(+ y (* x (- y 1)))
y
(+ y (* x y))
(+ y (* x y))
(+ y (* x y))
y
(+ y (* x (- y 1)))
(+ y (* x (- y 1)))
(+ y (* x (- y 1)))
y
(+ y (* x y))
(+ y (* x y))
(+ y (* x y))
(* x y)
(* x y)
(* x y)
(* x y)
y
(+ y (* x (- y 1)))
(+ y (* x (- y 1)))
(+ y (* x (- y 1)))
y
(+ y (* x y))
(+ y (* x y))
(+ y (* x y))
1
(+ 1 x)
(+ 1 x)
(+ 1 x)
(* x (- y 1))
(* x (- (+ y (/ y x)) 1))
(* x (- (+ y (/ y x)) 1))
(* x (- (+ y (/ y x)) 1))
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* x (- y 1))
(* x (- (+ y (/ y x)) 1))
(* x (- (+ y (/ y x)) 1))
(* x (- (+ y (/ y x)) 1))
(* x y)
(* x (+ y (/ y x)))
(* x (+ y (/ y x)))
(* x (+ y (/ y x)))
(* x (- y 1))
(* x (- (+ y (/ y x)) 1))
(* x (- (+ y (/ y x)) 1))
(* x (- (+ y (/ y x)) 1))
(* x y)
(* x (+ y (/ y x)))
(* x (+ y (/ y x)))
(* x (+ y (/ y x)))
(* x y)
(* x y)
(* x y)
(* x y)
(* x (- y 1))
(* x (- (+ y (/ y x)) 1))
(* x (- (+ y (/ y x)) 1))
(* x (- (+ y (/ y x)) 1))
(* x y)
(* x (+ y (/ y x)))
(* x (+ y (/ y x)))
(* x (+ y (/ y x)))
x
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
(* -1 (* x (+ 1 (* -1 y))))
(* -1 (* x (+ 1 (+ (* -1 y) (* -1 (/ y x))))))
(* -1 (* x (+ 1 (+ (* -1 y) (* -1 (/ y x))))))
(* -1 (* x (+ 1 (+ (* -1 y) (* -1 (/ y x))))))
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 (* x (+ 1 (* -1 y))))
(* -1 (* x (+ 1 (+ (* -1 y) (* -1 (/ y x))))))
(* -1 (* x (+ 1 (+ (* -1 y) (* -1 (/ y x))))))
(* -1 (* x (+ 1 (+ (* -1 y) (* -1 (/ y x))))))
(* x y)
(* -1 (* x (+ (* -1 y) (* -1 (/ y x)))))
(* -1 (* x (+ (* -1 y) (* -1 (/ y x)))))
(* -1 (* x (+ (* -1 y) (* -1 (/ y x)))))
(* -1 (* x (+ 1 (* -1 y))))
(* -1 (* x (+ 1 (+ (* -1 y) (* -1 (/ y x))))))
(* -1 (* x (+ 1 (+ (* -1 y) (* -1 (/ y x))))))
(* -1 (* x (+ 1 (+ (* -1 y) (* -1 (/ y x))))))
(* x y)
(* -1 (* x (+ (* -1 y) (* -1 (/ y x)))))
(* -1 (* x (+ (* -1 y) (* -1 (/ y x)))))
(* -1 (* x (+ (* -1 y) (* -1 (/ y x)))))
(* x y)
(* x y)
(* x y)
(* x y)
(* -1 (* x (+ 1 (* -1 y))))
(* -1 (* x (+ 1 (+ (* -1 y) (* -1 (/ y x))))))
(* -1 (* x (+ 1 (+ (* -1 y) (* -1 (/ y x))))))
(* -1 (* x (+ 1 (+ (* -1 y) (* -1 (/ y x))))))
(* x y)
(* -1 (* x (+ (* -1 y) (* -1 (/ y x)))))
(* -1 (* x (+ (* -1 y) (* -1 (/ y x)))))
(* -1 (* x (+ (* -1 y) (* -1 (/ y x)))))
x
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
Outputs
(* -1 x)
(neg.f64 x)
(- (* y (+ 1 x)) x)
(fma.f64 (-.f64 y #s(literal 1 binary64)) x y)
(- (* y (+ 1 x)) x)
(fma.f64 (-.f64 y #s(literal 1 binary64)) x y)
(- (* y (+ 1 x)) x)
(fma.f64 (-.f64 y #s(literal 1 binary64)) x y)
(* -1 x)
(neg.f64 x)
(- (* y (+ 1 x)) x)
(fma.f64 (-.f64 y #s(literal 1 binary64)) x y)
(- (* y (+ 1 x)) x)
(fma.f64 (-.f64 y #s(literal 1 binary64)) x y)
(- (* y (+ 1 x)) x)
(fma.f64 (-.f64 y #s(literal 1 binary64)) x y)
(* y (+ 1 x))
(fma.f64 y x y)
(* y (+ 1 x))
(fma.f64 y x y)
(* y (+ 1 x))
(fma.f64 y x y)
(* y (+ 1 x))
(fma.f64 y x y)
(* -1 x)
(neg.f64 x)
(- (* y (+ 1 x)) x)
(fma.f64 (-.f64 y #s(literal 1 binary64)) x y)
(- (* y (+ 1 x)) x)
(fma.f64 (-.f64 y #s(literal 1 binary64)) x y)
(- (* y (+ 1 x)) x)
(fma.f64 (-.f64 y #s(literal 1 binary64)) x y)
(* y (+ 1 x))
(fma.f64 y x y)
(* y (+ 1 x))
(fma.f64 y x y)
(* y (+ 1 x))
(fma.f64 y x y)
(* y (+ 1 x))
(fma.f64 y x y)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* -1 x)
(neg.f64 x)
(- (* y (+ 1 x)) x)
(fma.f64 (-.f64 y #s(literal 1 binary64)) x y)
(- (* y (+ 1 x)) x)
(fma.f64 (-.f64 y #s(literal 1 binary64)) x y)
(- (* y (+ 1 x)) x)
(fma.f64 (-.f64 y #s(literal 1 binary64)) x y)
(* y (+ 1 x))
(fma.f64 y x y)
(* y (+ 1 x))
(fma.f64 y x y)
(* y (+ 1 x))
(fma.f64 y x y)
(* y (+ 1 x))
(fma.f64 y x y)
(* y (+ 1 x))
(fma.f64 y x y)
(* y (+ 1 (+ x (* -1 (/ x y)))))
(fma.f64 (-.f64 y #s(literal 1 binary64)) x y)
(* y (+ 1 (+ x (* -1 (/ x y)))))
(fma.f64 (-.f64 y #s(literal 1 binary64)) x y)
(* y (+ 1 (+ x (* -1 (/ x y)))))
(fma.f64 (-.f64 y #s(literal 1 binary64)) x y)
(* y (+ 1 x))
(fma.f64 y x y)
(* y (+ 1 (+ x (* -1 (/ x y)))))
(fma.f64 (-.f64 y #s(literal 1 binary64)) x y)
(* y (+ 1 (+ x (* -1 (/ x y)))))
(fma.f64 (-.f64 y #s(literal 1 binary64)) x y)
(* y (+ 1 (+ x (* -1 (/ x y)))))
(fma.f64 (-.f64 y #s(literal 1 binary64)) x y)
(* y (+ 1 x))
(fma.f64 y x y)
(* y (+ 1 x))
(fma.f64 y x y)
(* y (+ 1 x))
(fma.f64 y x y)
(* y (+ 1 x))
(fma.f64 y x y)
(* y (+ 1 x))
(fma.f64 y x y)
(* y (+ 1 (+ x (* -1 (/ x y)))))
(fma.f64 (-.f64 y #s(literal 1 binary64)) x y)
(* y (+ 1 (+ x (* -1 (/ x y)))))
(fma.f64 (-.f64 y #s(literal 1 binary64)) x y)
(* y (+ 1 (+ x (* -1 (/ x y)))))
(fma.f64 (-.f64 y #s(literal 1 binary64)) x y)
(* y (+ 1 x))
(fma.f64 y x y)
(* y (+ 1 x))
(fma.f64 y x y)
(* y (+ 1 x))
(fma.f64 y x y)
(* y (+ 1 x))
(fma.f64 y x y)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* y (+ 1 x))
(fma.f64 y x y)
(* y (+ 1 (+ x (* -1 (/ x y)))))
(fma.f64 (-.f64 y #s(literal 1 binary64)) x y)
(* y (+ 1 (+ x (* -1 (/ x y)))))
(fma.f64 (-.f64 y #s(literal 1 binary64)) x y)
(* y (+ 1 (+ x (* -1 (/ x y)))))
(fma.f64 (-.f64 y #s(literal 1 binary64)) x y)
(* y (+ 1 x))
(fma.f64 y x y)
(* y (+ 1 x))
(fma.f64 y x y)
(* y (+ 1 x))
(fma.f64 y x y)
(* y (+ 1 x))
(fma.f64 y x y)
(* y (+ 1 x))
(fma.f64 y x y)
(* -1 (* y (+ (* -1 (+ 1 x)) (/ x y))))
(fma.f64 (-.f64 y #s(literal 1 binary64)) x y)
(* -1 (* y (+ (* -1 (+ 1 x)) (/ x y))))
(fma.f64 (-.f64 y #s(literal 1 binary64)) x y)
(* -1 (* y (+ (* -1 (+ 1 x)) (/ x y))))
(fma.f64 (-.f64 y #s(literal 1 binary64)) x y)
(* y (+ 1 x))
(fma.f64 y x y)
(* -1 (* y (+ (* -1 (+ 1 x)) (/ x y))))
(fma.f64 (-.f64 y #s(literal 1 binary64)) x y)
(* -1 (* y (+ (* -1 (+ 1 x)) (/ x y))))
(fma.f64 (-.f64 y #s(literal 1 binary64)) x y)
(* -1 (* y (+ (* -1 (+ 1 x)) (/ x y))))
(fma.f64 (-.f64 y #s(literal 1 binary64)) x y)
(* -1 (* y (- (* -1 x) 1)))
(fma.f64 y x y)
(* -1 (* y (- (* -1 x) 1)))
(fma.f64 y x y)
(* -1 (* y (- (* -1 x) 1)))
(fma.f64 y x y)
(* -1 (* y (- (* -1 x) 1)))
(fma.f64 y x y)
(* y (+ 1 x))
(fma.f64 y x y)
(* -1 (* y (+ (* -1 (+ 1 x)) (/ x y))))
(fma.f64 (-.f64 y #s(literal 1 binary64)) x y)
(* -1 (* y (+ (* -1 (+ 1 x)) (/ x y))))
(fma.f64 (-.f64 y #s(literal 1 binary64)) x y)
(* -1 (* y (+ (* -1 (+ 1 x)) (/ x y))))
(fma.f64 (-.f64 y #s(literal 1 binary64)) x y)
(* y (+ 1 x))
(fma.f64 y x y)
(* y (+ 1 x))
(fma.f64 y x y)
(* y (+ 1 x))
(fma.f64 y x y)
(* y (+ 1 x))
(fma.f64 y x y)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* y (+ 1 x))
(fma.f64 y x y)
(* -1 (* y (+ (* -1 (+ 1 x)) (/ x y))))
(fma.f64 (-.f64 y #s(literal 1 binary64)) x y)
(* -1 (* y (+ (* -1 (+ 1 x)) (/ x y))))
(fma.f64 (-.f64 y #s(literal 1 binary64)) x y)
(* -1 (* y (+ (* -1 (+ 1 x)) (/ x y))))
(fma.f64 (-.f64 y #s(literal 1 binary64)) x y)
(* y (+ 1 x))
(fma.f64 y x y)
(* y (+ 1 x))
(fma.f64 y x y)
(* y (+ 1 x))
(fma.f64 y x y)
(* y (+ 1 x))
(fma.f64 y x y)
y
(+ y (* x (- y 1)))
(fma.f64 (-.f64 y #s(literal 1 binary64)) x y)
(+ y (* x (- y 1)))
(fma.f64 (-.f64 y #s(literal 1 binary64)) x y)
(+ y (* x (- y 1)))
(fma.f64 (-.f64 y #s(literal 1 binary64)) x y)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
y
(+ y (* x (- y 1)))
(fma.f64 (-.f64 y #s(literal 1 binary64)) x y)
(+ y (* x (- y 1)))
(fma.f64 (-.f64 y #s(literal 1 binary64)) x y)
(+ y (* x (- y 1)))
(fma.f64 (-.f64 y #s(literal 1 binary64)) x y)
y
(+ y (* x y))
(fma.f64 y x y)
(+ y (* x y))
(fma.f64 y x y)
(+ y (* x y))
(fma.f64 y x y)
y
(+ y (* x (- y 1)))
(fma.f64 (-.f64 y #s(literal 1 binary64)) x y)
(+ y (* x (- y 1)))
(fma.f64 (-.f64 y #s(literal 1 binary64)) x y)
(+ y (* x (- y 1)))
(fma.f64 (-.f64 y #s(literal 1 binary64)) x y)
y
(+ y (* x y))
(fma.f64 y x y)
(+ y (* x y))
(fma.f64 y x y)
(+ y (* x y))
(fma.f64 y x y)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
y
(+ y (* x (- y 1)))
(fma.f64 (-.f64 y #s(literal 1 binary64)) x y)
(+ y (* x (- y 1)))
(fma.f64 (-.f64 y #s(literal 1 binary64)) x y)
(+ y (* x (- y 1)))
(fma.f64 (-.f64 y #s(literal 1 binary64)) x y)
y
(+ y (* x y))
(fma.f64 y x y)
(+ y (* x y))
(fma.f64 y x y)
(+ y (* x y))
(fma.f64 y x y)
1
#s(literal 1 binary64)
(+ 1 x)
(-.f64 x #s(literal -1 binary64))
(+ 1 x)
(-.f64 x #s(literal -1 binary64))
(+ 1 x)
(-.f64 x #s(literal -1 binary64))
(* x (- y 1))
(fma.f64 y x (neg.f64 x))
(* x (- (+ y (/ y x)) 1))
(fma.f64 (-.f64 y #s(literal 1 binary64)) x y)
(* x (- (+ y (/ y x)) 1))
(fma.f64 (-.f64 y #s(literal 1 binary64)) x y)
(* x (- (+ y (/ y x)) 1))
(fma.f64 (-.f64 y #s(literal 1 binary64)) x y)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* x (- y 1))
(fma.f64 y x (neg.f64 x))
(* x (- (+ y (/ y x)) 1))
(fma.f64 (-.f64 y #s(literal 1 binary64)) x y)
(* x (- (+ y (/ y x)) 1))
(fma.f64 (-.f64 y #s(literal 1 binary64)) x y)
(* x (- (+ y (/ y x)) 1))
(fma.f64 (-.f64 y #s(literal 1 binary64)) x y)
(* x y)
(*.f64 y x)
(* x (+ y (/ y x)))
(fma.f64 y x y)
(* x (+ y (/ y x)))
(fma.f64 y x y)
(* x (+ y (/ y x)))
(fma.f64 y x y)
(* x (- y 1))
(fma.f64 y x (neg.f64 x))
(* x (- (+ y (/ y x)) 1))
(fma.f64 (-.f64 y #s(literal 1 binary64)) x y)
(* x (- (+ y (/ y x)) 1))
(fma.f64 (-.f64 y #s(literal 1 binary64)) x y)
(* x (- (+ y (/ y x)) 1))
(fma.f64 (-.f64 y #s(literal 1 binary64)) x y)
(* x y)
(*.f64 y x)
(* x (+ y (/ y x)))
(fma.f64 y x y)
(* x (+ y (/ y x)))
(fma.f64 y x y)
(* x (+ y (/ y x)))
(fma.f64 y x y)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x (- y 1))
(fma.f64 y x (neg.f64 x))
(* x (- (+ y (/ y x)) 1))
(fma.f64 (-.f64 y #s(literal 1 binary64)) x y)
(* x (- (+ y (/ y x)) 1))
(fma.f64 (-.f64 y #s(literal 1 binary64)) x y)
(* x (- (+ y (/ y x)) 1))
(fma.f64 (-.f64 y #s(literal 1 binary64)) x y)
(* x y)
(*.f64 y x)
(* x (+ y (/ y x)))
(fma.f64 y x y)
(* x (+ y (/ y x)))
(fma.f64 y x y)
(* x (+ y (/ y x)))
(fma.f64 y x y)
x
(* x (+ 1 (/ 1 x)))
(-.f64 x #s(literal -1 binary64))
(* x (+ 1 (/ 1 x)))
(-.f64 x #s(literal -1 binary64))
(* x (+ 1 (/ 1 x)))
(-.f64 x #s(literal -1 binary64))
(* -1 (* x (+ 1 (* -1 y))))
(fma.f64 y x (neg.f64 x))
(* -1 (* x (+ 1 (+ (* -1 y) (* -1 (/ y x))))))
(fma.f64 (-.f64 y #s(literal 1 binary64)) x y)
(* -1 (* x (+ 1 (+ (* -1 y) (* -1 (/ y x))))))
(fma.f64 (-.f64 y #s(literal 1 binary64)) x y)
(* -1 (* x (+ 1 (+ (* -1 y) (* -1 (/ y x))))))
(fma.f64 (-.f64 y #s(literal 1 binary64)) x y)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 (* x (+ 1 (* -1 y))))
(fma.f64 y x (neg.f64 x))
(* -1 (* x (+ 1 (+ (* -1 y) (* -1 (/ y x))))))
(fma.f64 (-.f64 y #s(literal 1 binary64)) x y)
(* -1 (* x (+ 1 (+ (* -1 y) (* -1 (/ y x))))))
(fma.f64 (-.f64 y #s(literal 1 binary64)) x y)
(* -1 (* x (+ 1 (+ (* -1 y) (* -1 (/ y x))))))
(fma.f64 (-.f64 y #s(literal 1 binary64)) x y)
(* x y)
(*.f64 y x)
(* -1 (* x (+ (* -1 y) (* -1 (/ y x)))))
(fma.f64 y x y)
(* -1 (* x (+ (* -1 y) (* -1 (/ y x)))))
(fma.f64 y x y)
(* -1 (* x (+ (* -1 y) (* -1 (/ y x)))))
(fma.f64 y x y)
(* -1 (* x (+ 1 (* -1 y))))
(fma.f64 y x (neg.f64 x))
(* -1 (* x (+ 1 (+ (* -1 y) (* -1 (/ y x))))))
(fma.f64 (-.f64 y #s(literal 1 binary64)) x y)
(* -1 (* x (+ 1 (+ (* -1 y) (* -1 (/ y x))))))
(fma.f64 (-.f64 y #s(literal 1 binary64)) x y)
(* -1 (* x (+ 1 (+ (* -1 y) (* -1 (/ y x))))))
(fma.f64 (-.f64 y #s(literal 1 binary64)) x y)
(* x y)
(*.f64 y x)
(* -1 (* x (+ (* -1 y) (* -1 (/ y x)))))
(fma.f64 y x y)
(* -1 (* x (+ (* -1 y) (* -1 (/ y x)))))
(fma.f64 y x y)
(* -1 (* x (+ (* -1 y) (* -1 (/ y x)))))
(fma.f64 y x y)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* -1 (* x (+ 1 (* -1 y))))
(fma.f64 y x (neg.f64 x))
(* -1 (* x (+ 1 (+ (* -1 y) (* -1 (/ y x))))))
(fma.f64 (-.f64 y #s(literal 1 binary64)) x y)
(* -1 (* x (+ 1 (+ (* -1 y) (* -1 (/ y x))))))
(fma.f64 (-.f64 y #s(literal 1 binary64)) x y)
(* -1 (* x (+ 1 (+ (* -1 y) (* -1 (/ y x))))))
(fma.f64 (-.f64 y #s(literal 1 binary64)) x y)
(* x y)
(*.f64 y x)
(* -1 (* x (+ (* -1 y) (* -1 (/ y x)))))
(fma.f64 y x y)
(* -1 (* x (+ (* -1 y) (* -1 (/ y x)))))
(fma.f64 y x y)
(* -1 (* x (+ (* -1 y) (* -1 (/ y x)))))
(fma.f64 y x y)
x
(* x (+ 1 (/ 1 x)))
(-.f64 x #s(literal -1 binary64))
(* x (+ 1 (/ 1 x)))
(-.f64 x #s(literal -1 binary64))
(* x (+ 1 (/ 1 x)))
(-.f64 x #s(literal -1 binary64))

rewrite302.0ms (7.5%)

Memory
9.6MiB live, 244.1MiB allocated
Rules
10 926×lower-fma.f32
10 924×lower-fma.f64
5 374×lower-*.f32
5 370×lower-*.f64
3 800×lower-/.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01672
02268
19168
270068
0848068
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
10 → 342
Calls
Call 1
Inputs
#s(approx (- (* (+ x 1) y) x) (neg.f64 x))
(neg.f64 x)
#s(approx (- (* (+ x 1) y) x) (fma.f64 x y y))
(fma.f64 x y y)
(-.f64 #s(approx (* (+ x 1) y) (*.f64 x y)) x)
#s(approx (* (+ x 1) y) (*.f64 x y))
(*.f64 x y)
(-.f64 (*.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) x)
(*.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y)
#s(approx (+ x 1) #s(literal 1 binary64))
Outputs
#s(approx (- (* (+ x 1) y) x) (neg.f64 x))
(*.f64 (*.f64 (neg.f64 x) x) (/.f64 #s(literal 1 binary64) x))
(*.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(*.f64 #s(literal -1 binary64) x)
(*.f64 (neg.f64 x) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (neg.f64 x))
(*.f64 x #s(literal -1 binary64))
(/.f64 (*.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) #s(literal 1 binary64)) (*.f64 x x))
(/.f64 (neg.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64))) (*.f64 (neg.f64 x) x))
(/.f64 (*.f64 (neg.f64 x) x) (-.f64 #s(literal 0 binary64) (neg.f64 x)))
(/.f64 (*.f64 (neg.f64 x) x) x)
(/.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 x x) (*.f64 #s(literal 0 binary64) (neg.f64 x)))))
(/.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (*.f64 x x))
(/.f64 (*.f64 x x) (neg.f64 x))
(/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 (neg.f64 x) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) (pow.f64 (neg.f64 x) #s(literal 3 binary64))))
(neg.f64 x)
(fma.f64 (*.f64 (neg.f64 x) x) (/.f64 #s(literal 1 binary64) x) #s(literal 0 binary64))
(fma.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 0 binary64))
(fma.f64 #s(literal -1 binary64) x #s(literal 0 binary64))
(fma.f64 (neg.f64 x) #s(literal 1 binary64) #s(literal 0 binary64))
(fma.f64 #s(literal 1 binary64) (neg.f64 x) #s(literal 0 binary64))
(fma.f64 x #s(literal -1 binary64) #s(literal 0 binary64))
(-.f64 (/.f64 #s(literal 0 binary64) x) (/.f64 (*.f64 x x) x))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 x x)) (/.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 x x)))
(-.f64 #s(literal 0 binary64) x)
(+.f64 #s(literal 0 binary64) (neg.f64 x))
(+.f64 (neg.f64 x) #s(literal 0 binary64))
#s(approx (- (* (+ x 1) y) x) (fma.f64 y x y))
(*.f64 (/.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) y) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 (+.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)))
(*.f64 (/.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) y) (fma.f64 x x #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) x))
(*.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) y y) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) (+.f64 (fma.f64 x x #s(literal -1 binary64)) x))
(*.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) y y) (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64))))
(*.f64 (/.f64 (*.f64 y (*.f64 (fma.f64 x x #s(literal -1 binary64)) y)) (-.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 (fma.f64 y x y) y (pow.f64 (*.f64 y x) #s(literal 2 binary64))))
(*.f64 (/.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 y #s(literal 3 binary64))) (-.f64 (pow.f64 (*.f64 y x) #s(literal 4 binary64)) (pow.f64 (*.f64 (-.f64 y (*.f64 y x)) y) #s(literal 2 binary64)))) (fma.f64 y (*.f64 (fma.f64 x x #s(literal -1 binary64)) y) (*.f64 (*.f64 y y) x)))
(*.f64 (/.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 y #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (-.f64 y (*.f64 y x)) y) #s(literal 3 binary64)) (pow.f64 (*.f64 y x) #s(literal 6 binary64)))) (fma.f64 (*.f64 (-.f64 y (*.f64 y x)) y) (-.f64 (*.f64 (-.f64 y (*.f64 y x)) y) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (pow.f64 (*.f64 y x) #s(literal 4 binary64))))
(*.f64 (/.f64 (*.f64 y (*.f64 (fma.f64 x x #s(literal -1 binary64)) y)) (*.f64 y (*.f64 (fma.f64 x x #s(literal -1 binary64)) y))) (fma.f64 y x y))
(*.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) y) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) y y) (pow.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)))
(*.f64 (*.f64 y (-.f64 y (*.f64 (*.f64 x x) y))) (/.f64 #s(literal 1 binary64) (-.f64 y (*.f64 y x))))
(*.f64 (pow.f64 (-.f64 (*.f64 y x) y) #s(literal -1 binary64)) (*.f64 y (*.f64 (fma.f64 x x #s(literal -1 binary64)) y)))
(*.f64 (pow.f64 (*.f64 y (fma.f64 (*.f64 x x) y (-.f64 y (*.f64 y x)))) #s(literal -1 binary64)) (*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 y #s(literal 3 binary64))))
(*.f64 (neg.f64 (*.f64 y (*.f64 (fma.f64 x x #s(literal -1 binary64)) y))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (*.f64 y x) y))))
(*.f64 (neg.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 y #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 y (fma.f64 (*.f64 x x) y (-.f64 y (*.f64 y x)))))))
(*.f64 (fma.f64 x x #s(literal -1 binary64)) (/.f64 y (-.f64 x #s(literal 1 binary64))))
(*.f64 (fma.f64 x x #s(literal -1 binary64)) (*.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)) y))
(*.f64 (*.f64 y (*.f64 (fma.f64 x x #s(literal -1 binary64)) y)) (pow.f64 (-.f64 (*.f64 y x) y) #s(literal -1 binary64)))
(*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (/.f64 y (fma.f64 x x (-.f64 #s(literal 1 binary64) x))))
(*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (*.f64 (pow.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) y))
(*.f64 (*.f64 y (fma.f64 (*.f64 x x) y (-.f64 y (*.f64 y x)))) (/.f64 (fma.f64 y x y) (*.f64 y (fma.f64 (*.f64 x x) y (-.f64 y (*.f64 y x))))))
(*.f64 (*.f64 y (fma.f64 (*.f64 x x) y (-.f64 y (*.f64 y x)))) (*.f64 (fma.f64 y x y) (pow.f64 (*.f64 y (fma.f64 (*.f64 x x) y (-.f64 y (*.f64 y x)))) #s(literal -1 binary64))))
(*.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 y #s(literal 3 binary64))) (pow.f64 (*.f64 y (fma.f64 (*.f64 x x) y (-.f64 y (*.f64 y x)))) #s(literal -1 binary64)))
(*.f64 (fma.f64 y x y) (/.f64 (-.f64 (*.f64 y x) y) (-.f64 (*.f64 y x) y)))
(*.f64 (fma.f64 y x y) (*.f64 (-.f64 (*.f64 y x) y) (pow.f64 (-.f64 (*.f64 y x) y) #s(literal -1 binary64))))
(*.f64 y (+.f64 #s(literal 1 binary64) x))
(*.f64 (+.f64 #s(literal 1 binary64) x) y)
(*.f64 #s(literal 1 binary64) (fma.f64 y x y))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y x y)) #s(literal -1 binary64))
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 y x) #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) (pow.f64 (-.f64 (*.f64 y x) y) #s(literal -1 binary64))) (fma.f64 y y (pow.f64 (*.f64 y x) #s(literal 2 binary64))))
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 y x) #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) (pow.f64 (-.f64 (*.f64 y x) y) #s(literal -1 binary64))) (+.f64 (fma.f64 (*.f64 x x) (pow.f64 y #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) (pow.f64 (*.f64 y x) #s(literal 4 binary64))))
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 y x) #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) (pow.f64 (*.f64 y (fma.f64 (*.f64 x x) y (-.f64 y (*.f64 y x)))) #s(literal -1 binary64))) (-.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))
(/.f64 (*.f64 (+.f64 (pow.f64 y #s(literal 9 binary64)) (pow.f64 (*.f64 y x) #s(literal 9 binary64))) (pow.f64 (*.f64 y (fma.f64 (*.f64 x x) y (-.f64 y (*.f64 y x)))) #s(literal -1 binary64))) (-.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) (pow.f64 (*.f64 (*.f64 y y) x) #s(literal 3 binary64))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) y) (-.f64 #s(literal 1 binary64) x))
(/.f64 (*.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) y) (-.f64 #s(literal 1 binary64) x))
(/.f64 (*.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64)) y) (neg.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x))))
(/.f64 (*.f64 y (-.f64 #s(literal 1 binary64) (*.f64 x x))) (-.f64 #s(literal 1 binary64) x))
(/.f64 (*.f64 y (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) x))
(/.f64 (*.f64 y (fma.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64))) (neg.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x))))
(/.f64 (*.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 y #s(literal 3 binary64))) #s(literal 1 binary64)) (*.f64 y (fma.f64 (*.f64 x x) y (-.f64 y (*.f64 y x)))))
(/.f64 (*.f64 (*.f64 y (*.f64 (fma.f64 x x #s(literal -1 binary64)) y)) #s(literal 1 binary64)) (-.f64 (*.f64 y x) y))
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (-.f64 (*.f64 y x) y)) (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (-.f64 (*.f64 y x) y))) (*.f64 (*.f64 y (/.f64 y (-.f64 (*.f64 y x) y))) (*.f64 y (/.f64 y (-.f64 (*.f64 y x) y))))) (+.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (-.f64 (*.f64 y x) y)) (*.f64 y (/.f64 y (-.f64 (*.f64 y x) y)))))
(/.f64 (-.f64 (pow.f64 (fma.f64 y x y) #s(literal 2 binary64)) #s(literal 0 binary64)) (-.f64 (fma.f64 y x y) #s(literal 0 binary64)))
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eval77.0ms (1.9%)

Memory
-10.3MiB live, 116.1MiB allocated
Compiler

Compiled 9 484 to 992 computations (89.5% saved)

prune50.0ms (1.2%)

Memory
-7.1MiB live, 105.6MiB allocated
Pruning

5 alts after pruning (1 fresh and 4 done)

PrunedKeptTotal
New5481549
Fresh000
Picked044
Done000
Total5485553
Accuracy
100.0%
Counts
553 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓73.1%
(-.f64 (*.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) x)
✓62.1%
(-.f64 #s(approx (* (+ x 1) y) (*.f64 x y)) x)
✓65.4%
#s(approx (- (* (+ x 1) y) x) (fma.f64 x y y))
✓35.4%
#s(approx (- (* (+ x 1) y) x) (neg.f64 x))
▶28.6%
#s(approx (- (* (+ x 1) y) x) #s(approx (+ (* x y) y) (*.f64 y x)))
Compiler

Compiled 25 to 24 computations (4% saved)

simplify19.0ms (0.5%)

Memory
30.9MiB live, 30.9MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 3 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 y x)
cost-diff0
#s(approx (+ (* x y) y) (*.f64 y x))
cost-diff0
#s(approx (- (* (+ x 1) y) x) #s(approx (+ (* x y) y) (*.f64 y x)))
Rules
496×lower-fma.f64
496×lower-fma.f32
192×lower-*.f32
190×lower-*.f64
142×cancel-sign-sub-inv
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01131
01231
12031
23831
35631
410131
519831
634231
755031
861731
962231
062228
Stop Event
1×iter limit
1×saturated
1×iter limit
Calls
Call 1
Inputs
#s(approx (- (* (+ x 1) y) x) #s(approx (+ (* x y) y) (*.f64 y x)))
#s(approx (+ (* x y) y) (*.f64 y x))
(*.f64 y x)
y
x
Outputs
#s(approx (- (* (+ x 1) y) x) #s(approx (+ (* x y) y) (*.f64 y x)))
#s(approx (+ (* x y) y) (*.f64 y x))
(*.f64 y x)
y
x

localize26.0ms (0.7%)

Memory
-13.4MiB live, 32.6MiB allocated
Localize:

Found 3 expressions of interest:

NewMetricScoreProgram
accuracy0
(*.f64 y x)
accuracy22.135632242449116
#s(approx (- (* (+ x 1) y) x) #s(approx (+ (* x y) y) (*.f64 y x)))
accuracy32.00154758651072
#s(approx (+ (* x y) y) (*.f64 y x))
Samples
21.0ms256×0valid
Compiler

Compiled 19 to 11 computations (42.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 15.0ms
ival-mult: 9.0ms (59.5% of total)
ival-add: 4.0ms (26.5% of total)
ival-sub: 1.0ms (6.6% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series4.0ms (0.1%)

Memory
4.9MiB live, 4.9MiB allocated
Counts
3 → 72
Calls
Call 1
Inputs
#s(alt #s(approx (- (* (+ x 1) y) x) #s(approx (+ (* x y) y) (*.f64 y x))) (patch #s(approx (- (* (+ x 1) y) x) #s(approx (+ (* x y) y) (*.f64 y x))) #<representation binary64>) () ())
#s(alt #s(approx (+ (* x y) y) (*.f64 y x)) (patch #s(approx (+ (* x y) y) (*.f64 y x)) #<representation binary64>) () ())
#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())
Outputs
#s(alt (* -1 x) (taylor 0 y) (#s(alt #s(approx (- (* (+ x 1) y) x) #s(approx (+ (* x y) y) (*.f64 y x))) (patch #s(approx (- (* (+ x 1) y) x) #s(approx (+ (* x y) y) (*.f64 y x))) #<representation binary64>) () ())) ())
#s(alt (- (* y (+ 1 x)) x) (taylor 0 y) (#s(alt #s(approx (- (* (+ x 1) y) x) #s(approx (+ (* x y) y) (*.f64 y x))) (patch #s(approx (- (* (+ x 1) y) x) #s(approx (+ (* x y) y) (*.f64 y x))) #<representation binary64>) () ())) ())
#s(alt (- (* y (+ 1 x)) x) (taylor 0 y) (#s(alt #s(approx (- (* (+ x 1) y) x) #s(approx (+ (* x y) y) (*.f64 y x))) (patch #s(approx (- (* (+ x 1) y) x) #s(approx (+ (* x y) y) (*.f64 y x))) #<representation binary64>) () ())) ())
#s(alt (- (* y (+ 1 x)) x) (taylor 0 y) (#s(alt #s(approx (- (* (+ x 1) y) x) #s(approx (+ (* x y) y) (*.f64 y x))) (patch #s(approx (- (* (+ x 1) y) x) #s(approx (+ (* x y) y) (*.f64 y x))) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 x)) (taylor 0 y) (#s(alt #s(approx (+ (* x y) y) (*.f64 y x)) (patch #s(approx (+ (* x y) y) (*.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 x)) (taylor 0 y) (#s(alt #s(approx (+ (* x y) y) (*.f64 y x)) (patch #s(approx (+ (* x y) y) (*.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 x)) (taylor 0 y) (#s(alt #s(approx (+ (* x y) y) (*.f64 y x)) (patch #s(approx (+ (* x y) y) (*.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 x)) (taylor 0 y) (#s(alt #s(approx (+ (* x y) y) (*.f64 y x)) (patch #s(approx (+ (* x y) y) (*.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 y) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 y) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 y) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 y) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 x)) (taylor inf y) (#s(alt #s(approx (- (* (+ x 1) y) x) #s(approx (+ (* x y) y) (*.f64 y x))) (patch #s(approx (- (* (+ x 1) y) x) #s(approx (+ (* x y) y) (*.f64 y x))) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 (+ x (* -1 (/ x y))))) (taylor inf y) (#s(alt #s(approx (- (* (+ x 1) y) x) #s(approx (+ (* x y) y) (*.f64 y x))) (patch #s(approx (- (* (+ x 1) y) x) #s(approx (+ (* x y) y) (*.f64 y x))) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 (+ x (* -1 (/ x y))))) (taylor inf y) (#s(alt #s(approx (- (* (+ x 1) y) x) #s(approx (+ (* x y) y) (*.f64 y x))) (patch #s(approx (- (* (+ x 1) y) x) #s(approx (+ (* x y) y) (*.f64 y x))) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 (+ x (* -1 (/ x y))))) (taylor inf y) (#s(alt #s(approx (- (* (+ x 1) y) x) #s(approx (+ (* x y) y) (*.f64 y x))) (patch #s(approx (- (* (+ x 1) y) x) #s(approx (+ (* x y) y) (*.f64 y x))) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 x)) (taylor inf y) (#s(alt #s(approx (+ (* x y) y) (*.f64 y x)) (patch #s(approx (+ (* x y) y) (*.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 x)) (taylor inf y) (#s(alt #s(approx (+ (* x y) y) (*.f64 y x)) (patch #s(approx (+ (* x y) y) (*.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 x)) (taylor inf y) (#s(alt #s(approx (+ (* x y) y) (*.f64 y x)) (patch #s(approx (+ (* x y) y) (*.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 x)) (taylor inf y) (#s(alt #s(approx (+ (* x y) y) (*.f64 y x)) (patch #s(approx (+ (* x y) y) (*.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor inf y) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor inf y) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor inf y) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor inf y) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 x)) (taylor -inf y) (#s(alt #s(approx (- (* (+ x 1) y) x) #s(approx (+ (* x y) y) (*.f64 y x))) (patch #s(approx (- (* (+ x 1) y) x) #s(approx (+ (* x y) y) (*.f64 y x))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ (* -1 (+ 1 x)) (/ x y)))) (taylor -inf y) (#s(alt #s(approx (- (* (+ x 1) y) x) #s(approx (+ (* x y) y) (*.f64 y x))) (patch #s(approx (- (* (+ x 1) y) x) #s(approx (+ (* x y) y) (*.f64 y x))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ (* -1 (+ 1 x)) (/ x y)))) (taylor -inf y) (#s(alt #s(approx (- (* (+ x 1) y) x) #s(approx (+ (* x y) y) (*.f64 y x))) (patch #s(approx (- (* (+ x 1) y) x) #s(approx (+ (* x y) y) (*.f64 y x))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ (* -1 (+ 1 x)) (/ x y)))) (taylor -inf y) (#s(alt #s(approx (- (* (+ x 1) y) x) #s(approx (+ (* x y) y) (*.f64 y x))) (patch #s(approx (- (* (+ x 1) y) x) #s(approx (+ (* x y) y) (*.f64 y x))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (- (* -1 x) 1))) (taylor -inf y) (#s(alt #s(approx (+ (* x y) y) (*.f64 y x)) (patch #s(approx (+ (* x y) y) (*.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (- (* -1 x) 1))) (taylor -inf y) (#s(alt #s(approx (+ (* x y) y) (*.f64 y x)) (patch #s(approx (+ (* x y) y) (*.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (- (* -1 x) 1))) (taylor -inf y) (#s(alt #s(approx (+ (* x y) y) (*.f64 y x)) (patch #s(approx (+ (* x y) y) (*.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (- (* -1 x) 1))) (taylor -inf y) (#s(alt #s(approx (+ (* x y) y) (*.f64 y x)) (patch #s(approx (+ (* x y) y) (*.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf y) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf y) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf y) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf y) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())) ())
#s(alt y (taylor 0 x) (#s(alt #s(approx (- (* (+ x 1) y) x) #s(approx (+ (* x y) y) (*.f64 y x))) (patch #s(approx (- (* (+ x 1) y) x) #s(approx (+ (* x y) y) (*.f64 y x))) #<representation binary64>) () ())) ())
#s(alt (+ y (* x (- y 1))) (taylor 0 x) (#s(alt #s(approx (- (* (+ x 1) y) x) #s(approx (+ (* x y) y) (*.f64 y x))) (patch #s(approx (- (* (+ x 1) y) x) #s(approx (+ (* x y) y) (*.f64 y x))) #<representation binary64>) () ())) ())
#s(alt (+ y (* x (- y 1))) (taylor 0 x) (#s(alt #s(approx (- (* (+ x 1) y) x) #s(approx (+ (* x y) y) (*.f64 y x))) (patch #s(approx (- (* (+ x 1) y) x) #s(approx (+ (* x y) y) (*.f64 y x))) #<representation binary64>) () ())) ())
#s(alt (+ y (* x (- y 1))) (taylor 0 x) (#s(alt #s(approx (- (* (+ x 1) y) x) #s(approx (+ (* x y) y) (*.f64 y x))) (patch #s(approx (- (* (+ x 1) y) x) #s(approx (+ (* x y) y) (*.f64 y x))) #<representation binary64>) () ())) ())
#s(alt y (taylor 0 x) (#s(alt #s(approx (+ (* x y) y) (*.f64 y x)) (patch #s(approx (+ (* x y) y) (*.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (+ y (* x y)) (taylor 0 x) (#s(alt #s(approx (+ (* x y) y) (*.f64 y x)) (patch #s(approx (+ (* x y) y) (*.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (+ y (* x y)) (taylor 0 x) (#s(alt #s(approx (+ (* x y) y) (*.f64 y x)) (patch #s(approx (+ (* x y) y) (*.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (+ y (* x y)) (taylor 0 x) (#s(alt #s(approx (+ (* x y) y) (*.f64 y x)) (patch #s(approx (+ (* x y) y) (*.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 x) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 x) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 x) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 x) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* x (- y 1)) (taylor inf x) (#s(alt #s(approx (- (* (+ x 1) y) x) #s(approx (+ (* x y) y) (*.f64 y x))) (patch #s(approx (- (* (+ x 1) y) x) #s(approx (+ (* x y) y) (*.f64 y x))) #<representation binary64>) () ())) ())
#s(alt (* x (- (+ y (/ y x)) 1)) (taylor inf x) (#s(alt #s(approx (- (* (+ x 1) y) x) #s(approx (+ (* x y) y) (*.f64 y x))) (patch #s(approx (- (* (+ x 1) y) x) #s(approx (+ (* x y) y) (*.f64 y x))) #<representation binary64>) () ())) ())
#s(alt (* x (- (+ y (/ y x)) 1)) (taylor inf x) (#s(alt #s(approx (- (* (+ x 1) y) x) #s(approx (+ (* x y) y) (*.f64 y x))) (patch #s(approx (- (* (+ x 1) y) x) #s(approx (+ (* x y) y) (*.f64 y x))) #<representation binary64>) () ())) ())
#s(alt (* x (- (+ y (/ y x)) 1)) (taylor inf x) (#s(alt #s(approx (- (* (+ x 1) y) x) #s(approx (+ (* x y) y) (*.f64 y x))) (patch #s(approx (- (* (+ x 1) y) x) #s(approx (+ (* x y) y) (*.f64 y x))) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor inf x) (#s(alt #s(approx (+ (* x y) y) (*.f64 y x)) (patch #s(approx (+ (* x y) y) (*.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* x (+ y (/ y x))) (taylor inf x) (#s(alt #s(approx (+ (* x y) y) (*.f64 y x)) (patch #s(approx (+ (* x y) y) (*.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* x (+ y (/ y x))) (taylor inf x) (#s(alt #s(approx (+ (* x y) y) (*.f64 y x)) (patch #s(approx (+ (* x y) y) (*.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* x (+ y (/ y x))) (taylor inf x) (#s(alt #s(approx (+ (* x y) y) (*.f64 y x)) (patch #s(approx (+ (* x y) y) (*.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor inf x) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor inf x) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor inf x) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor inf x) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ 1 (* -1 y)))) (taylor -inf x) (#s(alt #s(approx (- (* (+ x 1) y) x) #s(approx (+ (* x y) y) (*.f64 y x))) (patch #s(approx (- (* (+ x 1) y) x) #s(approx (+ (* x y) y) (*.f64 y x))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ 1 (+ (* -1 y) (* -1 (/ y x)))))) (taylor -inf x) (#s(alt #s(approx (- (* (+ x 1) y) x) #s(approx (+ (* x y) y) (*.f64 y x))) (patch #s(approx (- (* (+ x 1) y) x) #s(approx (+ (* x y) y) (*.f64 y x))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ 1 (+ (* -1 y) (* -1 (/ y x)))))) (taylor -inf x) (#s(alt #s(approx (- (* (+ x 1) y) x) #s(approx (+ (* x y) y) (*.f64 y x))) (patch #s(approx (- (* (+ x 1) y) x) #s(approx (+ (* x y) y) (*.f64 y x))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ 1 (+ (* -1 y) (* -1 (/ y x)))))) (taylor -inf x) (#s(alt #s(approx (- (* (+ x 1) y) x) #s(approx (+ (* x y) y) (*.f64 y x))) (patch #s(approx (- (* (+ x 1) y) x) #s(approx (+ (* x y) y) (*.f64 y x))) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf x) (#s(alt #s(approx (+ (* x y) y) (*.f64 y x)) (patch #s(approx (+ (* x y) y) (*.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 y) (* -1 (/ y x))))) (taylor -inf x) (#s(alt #s(approx (+ (* x y) y) (*.f64 y x)) (patch #s(approx (+ (* x y) y) (*.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 y) (* -1 (/ y x))))) (taylor -inf x) (#s(alt #s(approx (+ (* x y) y) (*.f64 y x)) (patch #s(approx (+ (* x y) y) (*.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 y) (* -1 (/ y x))))) (taylor -inf x) (#s(alt #s(approx (+ (* x y) y) (*.f64 y x)) (patch #s(approx (+ (* x y) y) (*.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf x) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf x) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf x) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf x) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())) ())
Calls

6 calls:

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

simplify316.0ms (7.8%)

Memory
1.4MiB live, 156.3MiB allocated
Algorithm
1×egg-herbie
Rules
20 672×lower-fma.f64
20 672×lower-fma.f32
3 928×lower-/.f32
3 928×lower-/.f64
3 326×associate-/r*
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
041333
1140333
2388333
3964333
42549333
53752333
64662333
75267333
85584333
95789333
105884333
115924333
125944333
135944333
145962333
155962333
09053292
Stop Event
1×iter limit
1×node limit
Counts
72 → 70
Calls
Call 1
Inputs
(* -1 x)
(- (* y (+ 1 x)) x)
(- (* y (+ 1 x)) x)
(- (* y (+ 1 x)) x)
(* y (+ 1 x))
(* y (+ 1 x))
(* y (+ 1 x))
(* y (+ 1 x))
(* x y)
(* x y)
(* x y)
(* x y)
(* y (+ 1 x))
(* y (+ 1 (+ x (* -1 (/ x y)))))
(* y (+ 1 (+ x (* -1 (/ x y)))))
(* y (+ 1 (+ x (* -1 (/ x y)))))
(* y (+ 1 x))
(* y (+ 1 x))
(* y (+ 1 x))
(* y (+ 1 x))
(* x y)
(* x y)
(* x y)
(* x y)
(* y (+ 1 x))
(* -1 (* y (+ (* -1 (+ 1 x)) (/ x y))))
(* -1 (* y (+ (* -1 (+ 1 x)) (/ x y))))
(* -1 (* y (+ (* -1 (+ 1 x)) (/ x y))))
(* -1 (* y (- (* -1 x) 1)))
(* -1 (* y (- (* -1 x) 1)))
(* -1 (* y (- (* -1 x) 1)))
(* -1 (* y (- (* -1 x) 1)))
(* x y)
(* x y)
(* x y)
(* x y)
y
(+ y (* x (- y 1)))
(+ y (* x (- y 1)))
(+ y (* x (- y 1)))
y
(+ y (* x y))
(+ y (* x y))
(+ y (* x y))
(* x y)
(* x y)
(* x y)
(* x y)
(* x (- y 1))
(* x (- (+ y (/ y x)) 1))
(* x (- (+ y (/ y x)) 1))
(* x (- (+ y (/ y x)) 1))
(* x y)
(* x (+ y (/ y x)))
(* x (+ y (/ y x)))
(* x (+ y (/ y x)))
(* x y)
(* x y)
(* x y)
(* x y)
(* -1 (* x (+ 1 (* -1 y))))
(* -1 (* x (+ 1 (+ (* -1 y) (* -1 (/ y x))))))
(* -1 (* x (+ 1 (+ (* -1 y) (* -1 (/ y x))))))
(* -1 (* x (+ 1 (+ (* -1 y) (* -1 (/ y x))))))
(* x y)
(* -1 (* x (+ (* -1 y) (* -1 (/ y x)))))
(* -1 (* x (+ (* -1 y) (* -1 (/ y x)))))
(* -1 (* x (+ (* -1 y) (* -1 (/ y x)))))
(* x y)
(* x y)
(* x y)
(* x y)
Outputs
(* -1 x)
(neg.f64 x)
(- (* y (+ 1 x)) x)
(-.f64 (fma.f64 y x y) x)
(- (* y (+ 1 x)) x)
(-.f64 (fma.f64 y x y) x)
(- (* y (+ 1 x)) x)
(-.f64 (fma.f64 y x y) x)
(* y (+ 1 x))
(fma.f64 y x y)
(* y (+ 1 x))
(fma.f64 y x y)
(* y (+ 1 x))
(fma.f64 y x y)
(* y (+ 1 x))
(fma.f64 y x y)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* y (+ 1 x))
(fma.f64 y x y)
(* y (+ 1 (+ x (* -1 (/ x y)))))
(-.f64 (fma.f64 y x y) x)
(* y (+ 1 (+ x (* -1 (/ x y)))))
(-.f64 (fma.f64 y x y) x)
(* y (+ 1 (+ x (* -1 (/ x y)))))
(-.f64 (fma.f64 y x y) x)
(* y (+ 1 x))
(fma.f64 y x y)
(* y (+ 1 x))
(fma.f64 y x y)
(* y (+ 1 x))
(fma.f64 y x y)
(* y (+ 1 x))
(fma.f64 y x y)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* y (+ 1 x))
(fma.f64 y x y)
(* -1 (* y (+ (* -1 (+ 1 x)) (/ x y))))
(-.f64 (fma.f64 y x y) x)
(* -1 (* y (+ (* -1 (+ 1 x)) (/ x y))))
(-.f64 (fma.f64 y x y) x)
(* -1 (* y (+ (* -1 (+ 1 x)) (/ x y))))
(-.f64 (fma.f64 y x y) x)
(* -1 (* y (- (* -1 x) 1)))
(fma.f64 y x y)
(* -1 (* y (- (* -1 x) 1)))
(fma.f64 y x y)
(* -1 (* y (- (* -1 x) 1)))
(fma.f64 y x y)
(* -1 (* y (- (* -1 x) 1)))
(fma.f64 y x y)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
y
(+ y (* x (- y 1)))
(-.f64 (fma.f64 y x y) x)
(+ y (* x (- y 1)))
(-.f64 (fma.f64 y x y) x)
(+ y (* x (- y 1)))
(-.f64 (fma.f64 y x y) x)
y
(+ y (* x y))
(fma.f64 y x y)
(+ y (* x y))
(fma.f64 y x y)
(+ y (* x y))
(fma.f64 y x y)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x (- y 1))
(fma.f64 y x (neg.f64 x))
(* x (- (+ y (/ y x)) 1))
(-.f64 (fma.f64 y x y) x)
(* x (- (+ y (/ y x)) 1))
(-.f64 (fma.f64 y x y) x)
(* x (- (+ y (/ y x)) 1))
(-.f64 (fma.f64 y x y) x)
(* x y)
(*.f64 y x)
(* x (+ y (/ y x)))
(fma.f64 y x y)
(* x (+ y (/ y x)))
(fma.f64 y x y)
(* x (+ y (/ y x)))
(fma.f64 y x y)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* -1 (* x (+ 1 (* -1 y))))
(fma.f64 y x (neg.f64 x))
(* -1 (* x (+ 1 (+ (* -1 y) (* -1 (/ y x))))))
(-.f64 (fma.f64 y x y) x)
(* -1 (* x (+ 1 (+ (* -1 y) (* -1 (/ y x))))))
(-.f64 (fma.f64 y x y) x)
(* -1 (* x (+ 1 (+ (* -1 y) (* -1 (/ y x))))))
(-.f64 (fma.f64 y x y) x)
(* x y)
(*.f64 y x)
(* -1 (* x (+ (* -1 y) (* -1 (/ y x)))))
(fma.f64 y x y)
(* -1 (* x (+ (* -1 y) (* -1 (/ y x)))))
(fma.f64 y x y)
(* -1 (* x (+ (* -1 y) (* -1 (/ y x)))))
(fma.f64 y x y)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)

rewrite447.0ms (11%)

Memory
-16.3MiB live, 178.3MiB allocated
Rules
7 248×lower-fma.f64
7 248×lower-fma.f32
4 978×lower-*.f32
4 976×lower-*.f64
3 476×lower-/.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01129
01229
15529
244729
3767029
0821326
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
3 → 6
Calls
Call 1
Inputs
#s(approx (- (* (+ x 1) y) x) #s(approx (+ (* x y) y) (*.f64 y x)))
#s(approx (+ (* x y) y) (*.f64 y x))
(*.f64 y x)
Outputs
#s(approx (- (* (+ x 1) y) x) #s(approx (+ (* x y) y) (*.f64 y x)))
#s(approx (+ (* x y) y) (*.f64 y x))
(*.f64 (*.f64 y x) #s(literal 1 binary64))
(*.f64 y x)
(*.f64 #s(literal 1 binary64) (*.f64 y x))
(*.f64 x y)

eval7.0ms (0.2%)

Memory
18.3MiB live, 18.3MiB allocated
Compiler

Compiled 465 to 28 computations (94% saved)

prune4.0ms (0.1%)

Memory
9.9MiB live, 9.9MiB allocated
Pruning

5 alts after pruning (0 fresh and 5 done)

PrunedKeptTotal
New76076
Fresh000
Picked011
Done044
Total76581
Accuracy
100.0%
Counts
81 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓73.1%
(-.f64 (*.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) x)
✓62.1%
(-.f64 #s(approx (* (+ x 1) y) (*.f64 x y)) x)
✓65.4%
#s(approx (- (* (+ x 1) y) x) (fma.f64 x y y))
✓35.4%
#s(approx (- (* (+ x 1) y) x) (neg.f64 x))
✓28.6%
#s(approx (- (* (+ x 1) y) x) #s(approx (+ (* x y) y) (*.f64 y x)))
Compiler

Compiled 57 to 43 computations (24.6% saved)

regimes28.0ms (0.7%)

Memory
-13.4MiB live, 25.4MiB allocated
Counts
6 → 1
Calls
Call 1
Inputs
#s(approx (- (* (+ x 1) y) x) (neg.f64 x))
#s(approx (- (* (+ x 1) y) x) #s(approx (+ (* x y) y) (*.f64 y x)))
#s(approx (- (* (+ x 1) y) x) (fma.f64 x y y))
(-.f64 #s(approx (* (+ x 1) y) (*.f64 x y)) x)
(-.f64 (*.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) x)
(-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) y) x)
Outputs
(-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) y) x)
Calls

3 calls:

22.0ms
(-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) y) x)
3.0ms
y
3.0ms
x
Results
AccuracySegmentsBranch
100.0%1x
100.0%1y
100.0%1(-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) y) x)
Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes46.0ms (1.1%)

Memory
-23.0MiB live, 15.7MiB allocated
Counts
5 → 3
Calls
Call 1
Inputs
#s(approx (- (* (+ x 1) y) x) (neg.f64 x))
#s(approx (- (* (+ x 1) y) x) #s(approx (+ (* x y) y) (*.f64 y x)))
#s(approx (- (* (+ x 1) y) x) (fma.f64 x y y))
(-.f64 #s(approx (* (+ x 1) y) (*.f64 x y)) x)
(-.f64 (*.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) x)
Outputs
(-.f64 #s(approx (* (+ x 1) y) (*.f64 x y)) x)
(-.f64 (*.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) x)
(-.f64 #s(approx (* (+ x 1) y) (*.f64 x y)) x)
Calls

3 calls:

2.0ms
(-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) y) x)
2.0ms
y
2.0ms
x
Results
AccuracySegmentsBranch
99.3%3x
98.8%3y
91.7%3(-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) y) x)
Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes7.0ms (0.2%)

Memory
14.2MiB live, 14.2MiB allocated
Counts
4 → 3
Calls
Call 1
Inputs
#s(approx (- (* (+ x 1) y) x) (neg.f64 x))
#s(approx (- (* (+ x 1) y) x) #s(approx (+ (* x y) y) (*.f64 y x)))
#s(approx (- (* (+ x 1) y) x) (fma.f64 x y y))
(-.f64 #s(approx (* (+ x 1) y) (*.f64 x y)) x)
Outputs
#s(approx (- (* (+ x 1) y) x) (fma.f64 x y y))
(-.f64 #s(approx (* (+ x 1) y) (*.f64 x y)) x)
#s(approx (- (* (+ x 1) y) x) (fma.f64 x y y))
Calls

3 calls:

2.0ms
x
2.0ms
y
2.0ms
(-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) y) x)
Results
AccuracySegmentsBranch
68.6%3(-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) y) x)
87.8%3y
87.8%3x
Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes4.0ms (0.1%)

Memory
8.3MiB live, 8.3MiB allocated
Counts
3 → 3
Calls
Call 1
Inputs
#s(approx (- (* (+ x 1) y) x) (neg.f64 x))
#s(approx (- (* (+ x 1) y) x) #s(approx (+ (* x y) y) (*.f64 y x)))
#s(approx (- (* (+ x 1) y) x) (fma.f64 x y y))
Outputs
#s(approx (- (* (+ x 1) y) x) (fma.f64 x y y))
#s(approx (- (* (+ x 1) y) x) (neg.f64 x))
#s(approx (- (* (+ x 1) y) x) (fma.f64 x y y))
Calls

2 calls:

2.0ms
y
2.0ms
x
Results
AccuracySegmentsBranch
70.0%2x
87.8%3y
Compiler

Compiled 2 to 4 computations (-100% saved)

regimes5.0ms (0.1%)

Memory
10.6MiB live, 10.6MiB allocated
Counts
2 → 3
Calls
Call 1
Inputs
#s(approx (- (* (+ x 1) y) x) (neg.f64 x))
#s(approx (- (* (+ x 1) y) x) #s(approx (+ (* x y) y) (*.f64 y x)))
Outputs
#s(approx (- (* (+ x 1) y) x) #s(approx (+ (* x y) y) (*.f64 y x)))
#s(approx (- (* (+ x 1) y) x) (neg.f64 x))
#s(approx (- (* (+ x 1) y) x) #s(approx (+ (* x y) y) (*.f64 y x)))
Calls

3 calls:

2.0ms
y
1.0ms
(-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) y) x)
1.0ms
x
Results
AccuracySegmentsBranch
54.0%3(-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) y) x)
44.7%2x
60.9%3y
Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes160.0ms (4%)

Memory
-60.6MiB live, 50.8MiB allocated
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts
1 → 1
Calls
Call 1
Inputs
#s(approx (- (* (+ x 1) y) x) (neg.f64 x))
Outputs
#s(approx (- (* (+ x 1) y) x) (neg.f64 x))
Calls

3 calls:

158.0ms
x
1.0ms
(-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) y) x)
1.0ms
y
Results
AccuracySegmentsBranch
35.4%1x
35.4%1(-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) y) x)
35.4%1y
Compiler

Compiled 9 to 10 computations (-11.1% saved)

bsearch20.0ms (0.5%)

Memory
12.6MiB live, 51.8MiB allocated
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
11.0ms
4.352221483110411e-13
0.00012437530890086794
7.0ms
-1.403639743962916
-0.17142220005710573
Samples
10.0ms240×0valid
Compiler

Compiled 190 to 206 computations (-8.4% saved)

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

bsearch26.0ms (0.6%)

Memory
24.4MiB live, 62.9MiB allocated
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
10.0ms
1.9870060221417378e-8
0.5642353308975154
13.0ms
-6.706800089167379e-68
-9.467451453715405e-82
Samples
13.0ms304×0valid
Compiler

Compiled 219 to 220 computations (-0.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 5.0ms
ival-add: 2.0ms (37.3% of total)
ival-mult: 2.0ms (37.3% of total)
ival-sub: 1.0ms (18.7% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch10.0ms (0.2%)

Memory
-29.6MiB live, 13.4MiB allocated
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
6.0ms
2.9359355190542542e-21
1.1317468005925617e-20
3.0ms
-6.706800089167379e-68
-9.467451453715405e-82
Samples
3.0ms80×0valid
Compiler

Compiled 130 to 161 computations (-23.8% saved)

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

bsearch19.0ms (0.5%)

Memory
0.5MiB live, 39.5MiB allocated
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
11.0ms
1.9870060221417378e-8
0.5642353308975154
7.0ms
-3.2973360483372463e+27
-2.848820784468299e+26
Samples
9.0ms224×0valid
Compiler

Compiled 130 to 176 computations (-35.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 4.0ms
ival-sub: 1.0ms (24.9% of total)
ival-add: 1.0ms (24.9% of total)
ival-mult: 1.0ms (24.9% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

simplify50.0ms (1.2%)

Memory
14.8MiB live, 54.1MiB allocated
Algorithm
1×egg-herbie
Rules
10×+-commutative-binary64-+.f64
8×*-commutative-binary64-*.f64
8×sub-neg-binary64-neg.f64-+.f64--.f64
2×1-exp-binary32-exp.f32
2×1-exp-binary64-exp.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
046193
158193
263193
364193
Stop Event
1×saturated
Calls
Call 1
Inputs
(-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) y) x)
(if (<=.f64 x #s(literal -1 binary64)) (-.f64 #s(approx (* (+ x 1) y) (*.f64 x y)) x) (if (<=.f64 x #s(literal 8854437155380585/73786976294838206464 binary64)) (-.f64 (*.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) x) (-.f64 #s(approx (* (+ x 1) y) (*.f64 x y)) x)))
(if (<=.f64 y #s(literal -2859608609356273/124330809102446660538845562036705210025114037699336929360115994223289874253133343883264 binary64)) #s(approx (- (* (+ x 1) y) x) (fma.f64 x y y)) (if (<=.f64 y #s(literal 112986307451471/1152921504606846976 binary64)) (-.f64 #s(approx (* (+ x 1) y) (*.f64 x y)) x) #s(approx (- (* (+ x 1) y) x) (fma.f64 x y y))))
(if (<=.f64 y #s(literal -2859608609356273/124330809102446660538845562036705210025114037699336929360115994223289874253133343883264 binary64)) #s(approx (- (* (+ x 1) y) x) (fma.f64 x y y)) (if (<=.f64 y #s(literal 7310753976817037/664613997892457936451903530140172288 binary64)) #s(approx (- (* (+ x 1) y) x) (neg.f64 x)) #s(approx (- (* (+ x 1) y) x) (fma.f64 x y y))))
(if (<=.f64 y #s(literal -289999999999999998355832832 binary64)) #s(approx (- (* (+ x 1) y) x) #s(approx (+ (* x y) y) (*.f64 y x))) (if (<=.f64 y #s(literal 2476979795053773/4503599627370496 binary64)) #s(approx (- (* (+ x 1) y) x) (neg.f64 x)) #s(approx (- (* (+ x 1) y) x) #s(approx (+ (* x y) y) (*.f64 y x)))))
#s(approx (- (* (+ x 1) y) x) (neg.f64 x))
Outputs
(-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) y) x)
(-.f64 (*.f64 y (+.f64 #s(literal 1 binary64) x)) x)
(if (<=.f64 x #s(literal -1 binary64)) (-.f64 #s(approx (* (+ x 1) y) (*.f64 x y)) x) (if (<=.f64 x #s(literal 8854437155380585/73786976294838206464 binary64)) (-.f64 (*.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) x) (-.f64 #s(approx (* (+ x 1) y) (*.f64 x y)) x)))
(if (<=.f64 x #s(literal -1 binary64)) (-.f64 #s(approx (* (+ x 1) y) (*.f64 y x)) x) (if (<=.f64 x #s(literal 8854437155380585/73786976294838206464 binary64)) (-.f64 (*.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) x) (-.f64 #s(approx (* (+ x 1) y) (*.f64 y x)) x)))
(if (<=.f64 y #s(literal -2859608609356273/124330809102446660538845562036705210025114037699336929360115994223289874253133343883264 binary64)) #s(approx (- (* (+ x 1) y) x) (fma.f64 x y y)) (if (<=.f64 y #s(literal 112986307451471/1152921504606846976 binary64)) (-.f64 #s(approx (* (+ x 1) y) (*.f64 x y)) x) #s(approx (- (* (+ x 1) y) x) (fma.f64 x y y))))
(if (<=.f64 y #s(literal -2859608609356273/124330809102446660538845562036705210025114037699336929360115994223289874253133343883264 binary64)) #s(approx (- (* (+ x 1) y) x) (fma.f64 x y y)) (if (<=.f64 y #s(literal 112986307451471/1152921504606846976 binary64)) (-.f64 #s(approx (* (+ x 1) y) (*.f64 y x)) x) #s(approx (- (* (+ x 1) y) x) (fma.f64 x y y))))
(if (<=.f64 y #s(literal -2859608609356273/124330809102446660538845562036705210025114037699336929360115994223289874253133343883264 binary64)) #s(approx (- (* (+ x 1) y) x) (fma.f64 x y y)) (if (<=.f64 y #s(literal 7310753976817037/664613997892457936451903530140172288 binary64)) #s(approx (- (* (+ x 1) y) x) (neg.f64 x)) #s(approx (- (* (+ x 1) y) x) (fma.f64 x y y))))
(if (<=.f64 y #s(literal -289999999999999998355832832 binary64)) #s(approx (- (* (+ x 1) y) x) #s(approx (+ (* x y) y) (*.f64 y x))) (if (<=.f64 y #s(literal 2476979795053773/4503599627370496 binary64)) #s(approx (- (* (+ x 1) y) x) (neg.f64 x)) #s(approx (- (* (+ x 1) y) x) #s(approx (+ (* x y) y) (*.f64 y x)))))
#s(approx (- (* (+ x 1) y) x) (neg.f64 x))

soundness751.0ms (18.6%)

Memory
8.4MiB live, 324.1MiB allocated
Rules
4 204×lower-*.f64
4 204×lower-*.f32
4 192×lower-*.f64
4 192×lower-*.f32
3 480×lower-fma.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0441058
11491058
23981058
310171058
424991058
536331058
643991058
753411058
858671058
964291058
1074721058
08027915
041291
1140291
2363291
3978291
42455291
53593291
64358291
75301291
85827291
96391291
107434291
08103250
Stop Event
1×done
1×iter limit
1×node limit
1×iter limit
1×node limit
Compiler

Compiled 135 to 73 computations (45.9% saved)

preprocess96.0ms (2.4%)

Memory
-12.5MiB live, 107.4MiB allocated
Compiler

Compiled 218 to 92 computations (57.8% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

Loading profile data...