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
0.3MiB live, 0.3MiB allocated
Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
100%99.9%0%0.1%0%0%0%1
Compiler

Compiled 9 to 8 computations (11.1% saved)

sample854.0ms (21.2%)

Memory
33.1MiB live, 697.3MiB allocated
Samples
480.0ms8 255×0valid
0.0ms1×2valid
Precisions
Click to see histograms. Total time spent on operations: 208.0ms
ival-add: 82.0ms (39.5% of total)
ival-mult: 63.0ms (30.4% of total)
ival-sub: 50.0ms (24.1% of total)
ival-true: 6.0ms (2.9% of total)
exact: 5.0ms (2.4% of total)
ival-assert: 3.0ms (1.4% of total)
adjust: 0.0ms (0% of total)
Bogosity

explain134.0ms (3.3%)

Memory
-9.6MiB live, 109.2MiB 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
22.0ms512×0valid
Compiler

Compiled 47 to 22 computations (53.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 11.0ms
ival-mult: 4.0ms (37.8% of total)
ival-add: 3.0ms (28.4% of total)
ival-sub: 2.0ms (18.9% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess50.0ms (1.2%)

Memory
29.5MiB live, 67.1MiB 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
0.5MiB live, 0.5MiB allocated
Compiler

Compiled 0 to 2 computations (-∞% saved)

prune1.0ms (0%)

Memory
1.4MiB live, 1.4MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶100.0%
(-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) y) x)
Compiler

Compiled 7 to 6 computations (14.3% saved)

simplify29.0ms (0.7%)

Memory
-45.0MiB live, 11.1MiB 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

localize17.0ms (0.4%)

Memory
-3.0MiB live, 35.8MiB allocated
Localize:

Found 3 expressions of interest:

NewMetricScoreProgram
accuracy0
(+.f64 x #s(literal 1 binary64))
accuracy0
(*.f64 (+.f64 x #s(literal 1 binary64)) y)
accuracy0.00390625
(-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) y) x)
Samples
10.0ms256×0valid
Compiler

Compiled 20 to 8 computations (60% saved)

Precisions
Click to see histograms. Total time spent on operations: 5.0ms
ival-add: 2.0ms (41.8% of total)
ival-mult: 2.0ms (41.8% of total)
ival-sub: 1.0ms (20.9% 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
10.9MiB live, 10.9MiB 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
x
@inf
((* (+ x 1) y) (- (* (+ x 1) y) x) (+ x 1))
1.0ms
y
@0
((* (+ 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))

simplify145.0ms (3.6%)

Memory
20.8MiB live, 137.2MiB 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))

rewrite149.0ms (3.7%)

Memory
-11.9MiB live, 257.0MiB 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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eval45.0ms (1.1%)

Memory
28.4MiB live, 109.7MiB allocated
Compiler

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

prune12.0ms (0.3%)

Memory
-5.6MiB live, 30.1MiB allocated
Pruning

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New3795384
Fresh000
Picked101
Done000
Total3805385
Accuracy
100.0%
Counts
385 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶100.0%
(fma.f64 y x (-.f64 y x))
▶76.1%
(-.f64 (*.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) x)
▶60.3%
#s(approx (- (* (+ x 1) y) x) (fma.f64 x y (neg.f64 x)))
▶64.4%
#s(approx (- (* (+ x 1) y) x) (fma.f64 x y y))
▶36.9%
#s(approx (- (* (+ x 1) y) x) (neg.f64 x))
Compiler

Compiled 52 to 46 computations (11.5% saved)

simplify27.0ms (0.7%)

Memory
-14.5MiB live, 24.0MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 12 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
(neg.f64 x)
cost-diff0
(fma.f64 x y (neg.f64 x))
cost-diff0
#s(approx (- (* (+ x 1) y) x) (fma.f64 x y (neg.f64 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))
cost-diff0
(-.f64 y x)
cost-diff0
(fma.f64 y x (-.f64 y x))
Rules
608×lower-fma.f32
602×lower-fma.f64
256×lower-*.f32
254×lower-*.f64
168×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01788
02685
14685
27385
310585
422385
538485
654585
761785
862085
962285
062285
Stop Event
1×iter limit
1×saturated
1×iter limit
Calls
Call 1
Inputs
(fma.f64 y x (-.f64 y x))
y
x
(-.f64 y x)
#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
#s(approx (- (* (+ x 1) y) x) (fma.f64 x y (neg.f64 x)))
(fma.f64 x y (neg.f64 x))
x
y
(neg.f64 x)
(-.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
(fma.f64 y x (-.f64 y x))
(fma.f64 x y (-.f64 y x))
y
x
(-.f64 y x)
#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
#s(approx (- (* (+ x 1) y) x) (fma.f64 x y (neg.f64 x)))
(fma.f64 x y (neg.f64 x))
x
y
(neg.f64 x)
(-.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

localize75.0ms (1.9%)

Memory
10.9MiB live, 93.8MiB allocated
Localize:

Found 12 expressions of interest:

NewMetricScoreProgram
accuracy0
(*.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y)
accuracy0.00390625
(-.f64 (*.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) x)
accuracy28.188630568754522
#s(approx (+ x 1) #s(literal 1 binary64))
accuracy0
(fma.f64 x y (neg.f64 x))
accuracy0
(neg.f64 x)
accuracy25.439661738074197
#s(approx (- (* (+ x 1) y) x) (fma.f64 x y (neg.f64 x)))
accuracy0
(fma.f64 x y y)
accuracy22.77277745884106
#s(approx (- (* (+ x 1) y) x) (fma.f64 x y y))
accuracy0
(neg.f64 x)
accuracy40.353669758063354
#s(approx (- (* (+ x 1) y) x) (neg.f64 x))
accuracy0
(fma.f64 y x (-.f64 y x))
accuracy0
(-.f64 y x)
Samples
46.0ms256×0valid
Compiler

Compiled 73 to 15 computations (79.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 13.0ms
ival-mult: 5.0ms (38% of total)
ival-add: 4.0ms (30.4% of total)
ival-sub: 2.0ms (15.2% of total)
ival-neg: 1.0ms (7.6% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series22.0ms (0.5%)

Memory
-13.9MiB live, 22.4MiB allocated
Counts
11 → 240
Calls
Call 1
Inputs
#s(alt (fma.f64 y x (-.f64 y x)) (patch (fma.f64 y x (-.f64 y x)) #<representation binary64>) () ())
#s(alt (-.f64 y x) (patch (-.f64 y x) #<representation binary64>) () ())
#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 #s(approx (- (* (+ x 1) y) x) (fma.f64 x y (neg.f64 x))) (patch #s(approx (- (* (+ x 1) y) x) (fma.f64 x y (neg.f64 x))) #<representation binary64>) () ())
#s(alt (fma.f64 x y (neg.f64 x)) (patch (fma.f64 x y (neg.f64 x)) #<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 (fma.f64 y x (-.f64 y x)) (patch (fma.f64 y x (-.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (- (* y (+ 1 x)) x) (taylor 0 y) (#s(alt (fma.f64 y x (-.f64 y x)) (patch (fma.f64 y x (-.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (- (* y (+ 1 x)) x) (taylor 0 y) (#s(alt (fma.f64 y x (-.f64 y x)) (patch (fma.f64 y x (-.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (- (* y (+ 1 x)) x) (taylor 0 y) (#s(alt (fma.f64 y x (-.f64 y x)) (patch (fma.f64 y x (-.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor 0 y) (#s(alt (-.f64 y x) (patch (-.f64 y x) #<representation binary64>) () ())) ())
#s(alt (- y x) (taylor 0 y) (#s(alt (-.f64 y x) (patch (-.f64 y x) #<representation binary64>) () ())) ())
#s(alt (- y x) (taylor 0 y) (#s(alt (-.f64 y x) (patch (-.f64 y x) #<representation binary64>) () ())) ())
#s(alt (- y x) (taylor 0 y) (#s(alt (-.f64 y x) (patch (-.f64 y x) #<representation binary64>) () ())) ())
#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 #s(approx (- (* (+ x 1) y) x) (fma.f64 x y (neg.f64 x))) (patch #s(approx (- (* (+ x 1) y) x) (fma.f64 x y (neg.f64 x))) #<representation binary64>) () ())) ())
#s(alt (- (* y (+ 1 x)) x) (taylor 0 y) (#s(alt #s(approx (- (* (+ x 1) y) x) (fma.f64 x y (neg.f64 x))) (patch #s(approx (- (* (+ x 1) y) x) (fma.f64 x y (neg.f64 x))) #<representation binary64>) () ())) ())
#s(alt (- (* y (+ 1 x)) x) (taylor 0 y) (#s(alt #s(approx (- (* (+ x 1) y) x) (fma.f64 x y (neg.f64 x))) (patch #s(approx (- (* (+ x 1) y) x) (fma.f64 x y (neg.f64 x))) #<representation binary64>) () ())) ())
#s(alt (- (* y (+ 1 x)) x) (taylor 0 y) (#s(alt #s(approx (- (* (+ x 1) y) x) (fma.f64 x y (neg.f64 x))) (patch #s(approx (- (* (+ x 1) y) x) (fma.f64 x y (neg.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor 0 y) (#s(alt (fma.f64 x y (neg.f64 x)) (patch (fma.f64 x y (neg.f64 x)) #<representation binary64>) () ())) ())
#s(alt (- (* x y) x) (taylor 0 y) (#s(alt (fma.f64 x y (neg.f64 x)) (patch (fma.f64 x y (neg.f64 x)) #<representation binary64>) () ())) ())
#s(alt (- (* x y) x) (taylor 0 y) (#s(alt (fma.f64 x y (neg.f64 x)) (patch (fma.f64 x y (neg.f64 x)) #<representation binary64>) () ())) ())
#s(alt (- (* x y) x) (taylor 0 y) (#s(alt (fma.f64 x y (neg.f64 x)) (patch (fma.f64 x y (neg.f64 x)) #<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 (fma.f64 y x (-.f64 y x)) (patch (fma.f64 y x (-.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 (+ x (* -1 (/ x y))))) (taylor inf y) (#s(alt (fma.f64 y x (-.f64 y x)) (patch (fma.f64 y x (-.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 (+ x (* -1 (/ x y))))) (taylor inf y) (#s(alt (fma.f64 y x (-.f64 y x)) (patch (fma.f64 y x (-.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 (+ x (* -1 (/ x y))))) (taylor inf y) (#s(alt (fma.f64 y x (-.f64 y x)) (patch (fma.f64 y x (-.f64 y x)) #<representation binary64>) () ())) ())
#s(alt y (taylor inf y) (#s(alt (-.f64 y x) (patch (-.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 (* -1 (/ x y)))) (taylor inf y) (#s(alt (-.f64 y x) (patch (-.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 (* -1 (/ x y)))) (taylor inf y) (#s(alt (-.f64 y x) (patch (-.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 (* -1 (/ 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) (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 #s(approx (- (* (+ x 1) y) x) (fma.f64 x y (neg.f64 x))) (patch #s(approx (- (* (+ x 1) y) x) (fma.f64 x y (neg.f64 x))) #<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 (neg.f64 x))) (patch #s(approx (- (* (+ x 1) y) x) (fma.f64 x y (neg.f64 x))) #<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 (neg.f64 x))) (patch #s(approx (- (* (+ x 1) y) x) (fma.f64 x y (neg.f64 x))) #<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 (neg.f64 x))) (patch #s(approx (- (* (+ x 1) y) x) (fma.f64 x y (neg.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor inf y) (#s(alt (fma.f64 x y (neg.f64 x)) (patch (fma.f64 x y (neg.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* y (+ x (* -1 (/ x y)))) (taylor inf y) (#s(alt (fma.f64 x y (neg.f64 x)) (patch (fma.f64 x y (neg.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* y (+ x (* -1 (/ x y)))) (taylor inf y) (#s(alt (fma.f64 x y (neg.f64 x)) (patch (fma.f64 x y (neg.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* y (+ x (* -1 (/ x y)))) (taylor inf y) (#s(alt (fma.f64 x y (neg.f64 x)) (patch (fma.f64 x y (neg.f64 x)) #<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 (* -1 (* y (- (* -1 x) 1))) (taylor -inf y) (#s(alt (fma.f64 y x (-.f64 y x)) (patch (fma.f64 y x (-.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (- (+ (* -1 x) (/ x y)) 1))) (taylor -inf y) (#s(alt (fma.f64 y x (-.f64 y x)) (patch (fma.f64 y x (-.f64 y x)) #<representation binary64>) () ())) ())
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#s(alt (* x (- (+ y (/ y x)) 1)) (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 (/ y x)) 1)) (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 (/ y x)) 1)) (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 (* x (+ y (/ 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 (+ y (/ 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 (+ y (/ 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>) () ())) ())
#s(alt (* -1 (* x (+ 1 (* -1 y)))) (taylor -inf x) (#s(alt (fma.f64 y x (-.f64 y x)) (patch (fma.f64 y x (-.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ 1 (+ (* -1 y) (* -1 (/ y x)))))) (taylor -inf x) (#s(alt (fma.f64 y x (-.f64 y x)) (patch (fma.f64 y x (-.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ 1 (+ (* -1 y) (* -1 (/ y x)))))) (taylor -inf x) (#s(alt (fma.f64 y x (-.f64 y x)) (patch (fma.f64 y x (-.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ 1 (+ (* -1 y) (* -1 (/ y x)))))) (taylor -inf x) (#s(alt (fma.f64 y x (-.f64 y x)) (patch (fma.f64 y x (-.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor -inf x) (#s(alt (-.f64 y x) (patch (-.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ 1 (* -1 (/ y x))))) (taylor -inf x) (#s(alt (-.f64 y x) (patch (-.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ 1 (* -1 (/ y x))))) (taylor -inf x) (#s(alt (-.f64 y x) (patch (-.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ 1 (* -1 (/ y x))))) (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) (neg.f64 x)) (patch #s(approx (- (* (+ x 1) y) x) (neg.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ 1 (+ (* -1 y) (* -1 (/ y x)))))) (taylor -inf x) (#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 (+ 1 (+ (* -1 y) (* -1 (/ y x)))))) (taylor -inf x) (#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 (+ 1 (+ (* -1 y) (* -1 (/ y x)))))) (taylor -inf x) (#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 -inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor -inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor -inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor -inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ 1 (* -1 y)))) (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 (* -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 (* -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 (* -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 #s(approx (- (* (+ x 1) y) x) (fma.f64 x y (neg.f64 x))) (patch #s(approx (- (* (+ x 1) y) x) (fma.f64 x y (neg.f64 x))) #<representation binary64>) () ())) ())
#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 (neg.f64 x))) (patch #s(approx (- (* (+ x 1) y) x) (fma.f64 x y (neg.f64 x))) #<representation binary64>) () ())) ())
#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 (neg.f64 x))) (patch #s(approx (- (* (+ x 1) y) x) (fma.f64 x y (neg.f64 x))) #<representation binary64>) () ())) ())
#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 (neg.f64 x))) (patch #s(approx (- (* (+ x 1) y) x) (fma.f64 x y (neg.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ 1 (* -1 y)))) (taylor -inf x) (#s(alt (fma.f64 x y (neg.f64 x)) (patch (fma.f64 x y (neg.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ 1 (* -1 y)))) (taylor -inf x) (#s(alt (fma.f64 x y (neg.f64 x)) (patch (fma.f64 x y (neg.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ 1 (* -1 y)))) (taylor -inf x) (#s(alt (fma.f64 x y (neg.f64 x)) (patch (fma.f64 x y (neg.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ 1 (* -1 y)))) (taylor -inf x) (#s(alt (fma.f64 x y (neg.f64 x)) (patch (fma.f64 x y (neg.f64 x)) #<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
((+ (* y x) (- y x)) (- y x) (- (* (+ x 1) y) x) (neg x) (- (* (+ x 1) y) x) (+ (* x y) y) (- (* (+ x 1) y) x) (+ (* x y) (neg x)) (- (* (+ x 1) y) x) (* (+ x 1) y) (+ x 1))
1.0ms
y
@-inf
((+ (* y x) (- y x)) (- y x) (- (* (+ x 1) y) x) (neg x) (- (* (+ x 1) y) x) (+ (* x y) y) (- (* (+ x 1) y) x) (+ (* x y) (neg x)) (- (* (+ x 1) y) x) (* (+ x 1) y) (+ x 1))
1.0ms
x
@-inf
((+ (* y x) (- y x)) (- y x) (- (* (+ x 1) y) x) (neg x) (- (* (+ x 1) y) x) (+ (* x y) y) (- (* (+ x 1) y) x) (+ (* x y) (neg x)) (- (* (+ x 1) y) x) (* (+ x 1) y) (+ x 1))
1.0ms
y
@inf
((+ (* y x) (- y x)) (- y x) (- (* (+ x 1) y) x) (neg x) (- (* (+ x 1) y) x) (+ (* x y) y) (- (* (+ x 1) y) x) (+ (* x y) (neg x)) (- (* (+ x 1) y) x) (* (+ x 1) y) (+ x 1))
1.0ms
y
@0
((+ (* y x) (- y x)) (- y x) (- (* (+ x 1) y) x) (neg x) (- (* (+ x 1) y) x) (+ (* x y) y) (- (* (+ x 1) y) x) (+ (* x y) (neg x)) (- (* (+ x 1) y) x) (* (+ x 1) y) (+ x 1))

simplify177.0ms (4.4%)

Memory
12.3MiB live, 135.6MiB allocated
Algorithm
1×egg-herbie
Rules
4 208×lower-*.f64
4 208×lower-*.f32
3 480×lower-fma.f64
3 480×lower-fma.f32
1 912×div-sub
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0641199
12101199
25371199
311511199
424721199
535181199
642681199
752111199
857381199
963021199
1073611199
080301057
Stop Event
1×iter limit
1×node limit
Counts
240 → 228
Calls
Call 1
Inputs
(* -1 x)
(- (* y (+ 1 x)) x)
(- (* y (+ 1 x)) x)
(- (* y (+ 1 x)) x)
(* -1 x)
(- y x)
(- y x)
(- y x)
(* -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)
(* -1 x)
(- (* x y) x)
(- (* x y) x)
(- (* x y) 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
(* y (+ 1 (* -1 (/ x y))))
(* y (+ 1 (* -1 (/ x y))))
(* y (+ 1 (* -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 (* -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)))))
(* x y)
(* y (+ x (* -1 (/ x y))))
(* y (+ x (* -1 (/ x y))))
(* y (+ 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))
(* -1 (* y (- (* -1 x) 1)))
(* -1 (* y (- (+ (* -1 x) (/ x y)) 1)))
(* -1 (* y (- (+ (* -1 x) (/ x y)) 1)))
(* -1 (* y (- (+ (* -1 x) (/ x y)) 1)))
y
(* -1 (* y (- (/ x y) 1)))
(* -1 (* y (- (/ x y) 1)))
(* -1 (* y (- (/ x y) 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))
(* -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))))
(* x y)
(* -1 (* y (+ (* -1 x) (/ x y))))
(* -1 (* y (+ (* -1 x) (/ x y))))
(* -1 (* y (+ (* -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))))
(* 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)))
y
(+ 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)))
(* x (- y 1))
(* x (- y 1))
(* x (- y 1))
(* x (- y 1))
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)
(* x (- (/ y x) 1))
(* x (- (/ y x) 1))
(* x (- (/ y x) 1))
(* 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 1))
(* x (- y 1))
(* x (- y 1))
(* x (- y 1))
(* 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 (* -1 (/ y x)))))
(* -1 (* x (+ 1 (* -1 (/ y x)))))
(* -1 (* x (+ 1 (* -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))))))
(* -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))))))
(* -1 (* x (+ 1 (* -1 y))))
(* -1 (* x (+ 1 (* -1 y))))
(* -1 (* x (+ 1 (* -1 y))))
(* -1 (* x (+ 1 (* -1 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)
(-.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)
(* -1 x)
(neg.f64 x)
(- y x)
(-.f64 y x)
(- y x)
(-.f64 y x)
(- y x)
(-.f64 y x)
(* -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)
(* -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)
(* -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)
(* -1 x)
(neg.f64 x)
(- (* x y) x)
(fma.f64 y x (neg.f64 x))
(- (* x y) x)
(fma.f64 y x (neg.f64 x))
(- (* x y) x)
(fma.f64 y x (neg.f64 x))
(* -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)
(* 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
(* y (+ 1 (* -1 (/ x y))))
(-.f64 y x)
(* y (+ 1 (* -1 (/ x y))))
(-.f64 y x)
(* y (+ 1 (* -1 (/ 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 (* -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)
(* 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)
(* x y)
(*.f64 y x)
(* y (+ x (* -1 (/ x y))))
(fma.f64 y x (neg.f64 x))
(* y (+ x (* -1 (/ x y))))
(fma.f64 y x (neg.f64 x))
(* y (+ x (* -1 (/ x y))))
(fma.f64 y x (neg.f64 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)
(* -1 (* y (- (* -1 x) 1)))
(fma.f64 y x y)
(* -1 (* y (- (+ (* -1 x) (/ x y)) 1)))
(-.f64 (fma.f64 y x y) x)
(* -1 (* y (- (+ (* -1 x) (/ x y)) 1)))
(-.f64 (fma.f64 y x y) x)
(* -1 (* y (- (+ (* -1 x) (/ x y)) 1)))
(-.f64 (fma.f64 y x y) x)
y
(* -1 (* y (- (/ x y) 1)))
(-.f64 y x)
(* -1 (* y (- (/ x y) 1)))
(-.f64 y x)
(* -1 (* y (- (/ x y) 1)))
(-.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)
(* 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)
(* 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)
(* x y)
(*.f64 y x)
(* -1 (* y (+ (* -1 x) (/ x y))))
(fma.f64 y x (neg.f64 x))
(* -1 (* y (+ (* -1 x) (/ x y))))
(fma.f64 y x (neg.f64 x))
(* -1 (* y (+ (* -1 x) (/ x y))))
(fma.f64 y x (neg.f64 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)
(* 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)))
(-.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 (* -1 x))
(-.f64 y x)
(+ y (* -1 x))
(-.f64 y x)
(+ y (* -1 x))
(-.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)
(* -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)))
(-.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)
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)
(* x (- y 1))
(fma.f64 y x (neg.f64 x))
(* x (- y 1))
(fma.f64 y x (neg.f64 x))
(* x (- y 1))
(fma.f64 y x (neg.f64 x))
(* x (- y 1))
(fma.f64 y x (neg.f64 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)
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))
(-.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)
(* -1 x)
(neg.f64 x)
(* x (- (/ y x) 1))
(-.f64 y x)
(* x (- (/ y x) 1))
(-.f64 y x)
(* x (- (/ y x) 1))
(-.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)
(* -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))
(-.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 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 1))
(fma.f64 y x (neg.f64 x))
(* x (- y 1))
(fma.f64 y x (neg.f64 x))
(* x (- y 1))
(fma.f64 y x (neg.f64 x))
(* x (- y 1))
(fma.f64 y x (neg.f64 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
(* 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))))))
(-.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)
(* -1 x)
(neg.f64 x)
(* -1 (* x (+ 1 (* -1 (/ y x)))))
(-.f64 y x)
(* -1 (* x (+ 1 (* -1 (/ y x)))))
(-.f64 y x)
(* -1 (* x (+ 1 (* -1 (/ y x)))))
(-.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)
(* -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))))))
(-.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)
(* -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)
(* -1 (* x (+ 1 (* -1 y))))
(fma.f64 y x (neg.f64 x))
(* -1 (* x (+ 1 (* -1 y))))
(fma.f64 y x (neg.f64 x))
(* -1 (* x (+ 1 (* -1 y))))
(fma.f64 y x (neg.f64 x))
(* -1 (* x (+ 1 (* -1 y))))
(fma.f64 y x (neg.f64 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
(* 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))

rewrite209.0ms (5.2%)

Memory
19.0MiB live, 169.7MiB allocated
Rules
6 192×lower-fma.f32
6 186×lower-fma.f64
3 308×lower-*.f32
3 306×lower-*.f64
3 072×lower-/.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01776
02673
112673
297669
0965668
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
11 → 439
Calls
Call 1
Inputs
(fma.f64 y x (-.f64 y x))
(-.f64 y x)
#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)
#s(approx (- (* (+ x 1) y) x) (fma.f64 x y (neg.f64 x)))
(fma.f64 x y (neg.f64 x))
(-.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
(*.f64 (/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) y x) (-.f64 (pow.f64 (fma.f64 x y y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) y x) (pow.f64 (fma.f64 x (-.f64 x (fma.f64 x y y)) (pow.f64 (fma.f64 x y y) #s(literal 2 binary64))) #s(literal -1 binary64))))
(*.f64 (/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) y x) (+.f64 (pow.f64 (-.f64 y x) #s(literal 3 binary64)) (pow.f64 (*.f64 x y) #s(literal 3 binary64)))) (/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) y x) (pow.f64 (fma.f64 (-.f64 y x) (fma.f64 (-.f64 #s(literal 1 binary64) x) y x) (pow.f64 (*.f64 x y) #s(literal 2 binary64))) #s(literal -1 binary64))))
(*.f64 (/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) y x) (-.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (pow.f64 (-.f64 y x) #s(literal 2 binary64)))) (/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) y x) (/.f64 #s(literal -1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) x) y x))))
(*.f64 (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) y x) #s(literal -1 binary64)) (-.f64 (pow.f64 (fma.f64 x y y) #s(literal 2 binary64)) (*.f64 x x)))
(*.f64 (-.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) (pow.f64 (-.f64 y x) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (*.f64 (-.f64 y x) (fma.f64 (-.f64 #s(literal 1 binary64) x) y x)))))
(*.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 x y y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 x (-.f64 x (fma.f64 x y y)) (pow.f64 (fma.f64 x y y) #s(literal 2 binary64))))))
(*.f64 (-.f64 (pow.f64 (fma.f64 x y y) #s(literal 2 binary64)) (*.f64 x x)) (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) y x) #s(literal -1 binary64)))
(*.f64 (-.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (pow.f64 (-.f64 y x) #s(literal 2 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) x) y x)))
(*.f64 #s(literal -1 binary64) (fma.f64 #s(literal -1 binary64) y (fma.f64 x y x)))
(*.f64 (-.f64 (pow.f64 (fma.f64 x y y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (fma.f64 x (-.f64 x (fma.f64 x y y)) (pow.f64 (fma.f64 x y y) #s(literal 2 binary64))) #s(literal -1 binary64)))
(*.f64 (+.f64 (pow.f64 (-.f64 y x) #s(literal 3 binary64)) (pow.f64 (*.f64 x y) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (-.f64 y x) #s(literal 2 binary64)) (*.f64 (*.f64 x y) (fma.f64 #s(literal -1 binary64) y (fma.f64 x y x))))))
(*.f64 (+.f64 (pow.f64 (-.f64 y x) #s(literal 3 binary64)) (pow.f64 (*.f64 x y) #s(literal 3 binary64))) (pow.f64 (fma.f64 (-.f64 y x) (fma.f64 (-.f64 #s(literal 1 binary64) x) y x) (pow.f64 (*.f64 x y) #s(literal 2 binary64))) #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) x) y x))
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(/.f64 (*.f64 (fma.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y x) (fma.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y x)) (fma.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y x))
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (fma.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y x) #s(literal -1 binary64))))
(/.f64 (-.f64 (pow.f64 (*.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x (fma.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y x) (pow.f64 (*.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (fma.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y x) #s(literal -1 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y x) #s(literal -1 binary64)))
(neg.f64 (neg.f64 (fma.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y x)))
(fma.f64 #s(literal -1 binary64) x (*.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y))
(fma.f64 (pow.f64 (*.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) #s(literal 2 binary64)) (pow.f64 (fma.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y x) #s(literal -1 binary64)) (/.f64 (*.f64 x x) (fma.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y x)))
(fma.f64 (pow.f64 (*.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) #s(literal 3 binary64)) (pow.f64 (fma.f64 x (fma.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y x) (pow.f64 (*.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) #s(literal 2 binary64))) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (fma.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y x) (pow.f64 (*.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) #s(literal 2 binary64))))))
(fma.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) x) (*.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64))) (*.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y))
(fma.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y x)
(fma.f64 #s(literal 1 binary64) x (*.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y))
(fma.f64 x #s(literal -1 binary64) (*.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y))
(fma.f64 x #s(literal 1 binary64) (*.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y))
(fma.f64 y #s(approx (+ x 1) #s(literal 1 binary64)) x)
(-.f64 (/.f64 (pow.f64 (*.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) #s(literal 2 binary64)) (fma.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y x)) (/.f64 (*.f64 x x) (fma.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y x)))
(-.f64 (/.f64 (pow.f64 (*.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) #s(literal 3 binary64)) (fma.f64 x (fma.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y x) (pow.f64 (*.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) #s(literal 2 binary64)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (fma.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y x) (pow.f64 (*.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) #s(literal 2 binary64)))))
(-.f64 #s(literal 0 binary64) (-.f64 x (*.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y)))
(-.f64 (*.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) x)
(+.f64 (/.f64 (pow.f64 (*.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) #s(literal 2 binary64)) (fma.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y x)) (/.f64 (*.f64 x x) (fma.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y x)))
(+.f64 (/.f64 (pow.f64 (*.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) #s(literal 3 binary64)) (fma.f64 x (fma.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y x) (pow.f64 (*.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) #s(literal 2 binary64)))) (neg.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (fma.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y x) (pow.f64 (*.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) #s(literal 2 binary64))))))
(+.f64 #s(literal 0 binary64) (fma.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y x))
(+.f64 (*.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) x)
(+.f64 x (*.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y))
(*.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y)
(*.f64 y #s(approx (+ x 1) #s(literal 1 binary64)))
(/.f64 (-.f64 (pow.f64 (*.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) #s(literal 2 binary64)) #s(literal 0 binary64)) (-.f64 (*.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) #s(literal 0 binary64)))
(/.f64 (+.f64 (pow.f64 (*.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) #s(literal 3 binary64)) #s(literal 0 binary64)) (+.f64 (pow.f64 (*.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) #s(literal 0 binary64)))))
(fma.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y #s(literal 0 binary64))
(fma.f64 y #s(approx (+ x 1) #s(literal 1 binary64)) #s(literal 0 binary64))
(+.f64 (*.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) #s(literal 0 binary64))
#s(approx (+ x 1) #s(literal 1 binary64))

eval159.0ms (3.9%)

Memory
-10.5MiB live, 184.8MiB allocated
Compiler

Compiled 10 883 to 1 243 computations (88.6% saved)

prune36.0ms (0.9%)

Memory
17.5MiB live, 53.0MiB allocated
Pruning

7 alts after pruning (2 fresh and 5 done)

PrunedKeptTotal
New6952697
Fresh000
Picked055
Done000
Total6957702
Accuracy
100.0%
Counts
702 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓100.0%
(fma.f64 y x (-.f64 y x))
✓76.1%
(-.f64 (*.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) x)
✓60.3%
#s(approx (- (* (+ x 1) y) x) (fma.f64 x y (neg.f64 x)))
✓64.4%
#s(approx (- (* (+ x 1) y) x) (fma.f64 x y y))
✓36.9%
#s(approx (- (* (+ x 1) y) x) (neg.f64 x))
▶26.0%
#s(approx (- (* (+ x 1) y) x) #s(approx (+ (* x y) (neg x)) (*.f64 y x)))
▶2.7%
#s(approx (- (* (+ x 1) y) x) x)
Compiler

Compiled 33 to 31 computations (6.1% saved)

simplify38.0ms (0.9%)

Memory
-41.5MiB live, 20.1MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 4 expressions of interest:

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

Useful iterations: 0 (0.0ms)

IterNodesCost
01343
01441
12541
24441
37641
415041
529041
644241
750941
851241
051239
Stop Event
1×iter limit
1×saturated
1×iter limit
Calls
Call 1
Inputs
#s(approx (- (* (+ x 1) y) x) x)
x
#s(approx (- (* (+ x 1) y) x) #s(approx (+ (* x y) (neg x)) (*.f64 y x)))
#s(approx (+ (* x y) (neg x)) (*.f64 y x))
(*.f64 y x)
y
x
Outputs
#s(approx (- (* (+ x 1) y) x) x)
x
#s(approx (- (* (+ x 1) y) x) #s(approx (+ (* x y) (neg x)) (*.f64 y x)))
#s(approx (+ (* x y) (neg x)) (*.f64 y x))
(*.f64 y x)
y
x

localize26.0ms (0.6%)

Memory
1.9MiB live, 39.1MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0
(*.f64 y x)
accuracy25.439661738074197
#s(approx (- (* (+ x 1) y) x) #s(approx (+ (* x y) (neg x)) (*.f64 y x)))
accuracy31.96707933921715
#s(approx (+ (* x y) (neg x)) (*.f64 y x))
accuracy62.303333475185006
#s(approx (- (* (+ x 1) y) x) x)
Samples
18.0ms256×0valid
Compiler

Compiled 28 to 12 computations (57.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 12.0ms
ival-mult: 6.0ms (51.1% of total)
ival-add: 3.0ms (25.5% of total)
ival-sub: 1.0ms (8.5% of total)
ival-neg: 1.0ms (8.5% 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
12.1MiB live, 12.1MiB allocated
Counts
4 → 96
Calls
Call 1
Inputs
#s(alt #s(approx (- (* (+ x 1) y) x) x) (patch #s(approx (- (* (+ x 1) y) x) x) #<representation binary64>) () ())
#s(alt #s(approx (- (* (+ x 1) y) x) #s(approx (+ (* x y) (neg x)) (*.f64 y x))) (patch #s(approx (- (* (+ x 1) y) x) #s(approx (+ (* x y) (neg x)) (*.f64 y x))) #<representation binary64>) () ())
#s(alt #s(approx (+ (* x y) (neg x)) (*.f64 y x)) (patch #s(approx (+ (* x y) (neg x)) (*.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) x) (patch #s(approx (- (* (+ x 1) y) x) x) #<representation binary64>) () ())) ())
#s(alt (- (* y (+ 1 x)) x) (taylor 0 y) (#s(alt #s(approx (- (* (+ x 1) y) x) x) (patch #s(approx (- (* (+ x 1) y) x) x) #<representation binary64>) () ())) ())
#s(alt (- (* y (+ 1 x)) x) (taylor 0 y) (#s(alt #s(approx (- (* (+ x 1) y) x) x) (patch #s(approx (- (* (+ x 1) y) x) x) #<representation binary64>) () ())) ())
#s(alt (- (* y (+ 1 x)) x) (taylor 0 y) (#s(alt #s(approx (- (* (+ x 1) y) x) x) (patch #s(approx (- (* (+ x 1) y) x) x) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor 0 y) (#s(alt #s(approx (- (* (+ x 1) y) x) #s(approx (+ (* x y) (neg x)) (*.f64 y x))) (patch #s(approx (- (* (+ x 1) y) x) #s(approx (+ (* x y) (neg x)) (*.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) (neg x)) (*.f64 y x))) (patch #s(approx (- (* (+ x 1) y) x) #s(approx (+ (* x y) (neg x)) (*.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) (neg x)) (*.f64 y x))) (patch #s(approx (- (* (+ x 1) y) x) #s(approx (+ (* x y) (neg x)) (*.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) (neg x)) (*.f64 y x))) (patch #s(approx (- (* (+ x 1) y) x) #s(approx (+ (* x y) (neg x)) (*.f64 y x))) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor 0 y) (#s(alt #s(approx (+ (* x y) (neg x)) (*.f64 y x)) (patch #s(approx (+ (* x y) (neg x)) (*.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (- (* x y) x) (taylor 0 y) (#s(alt #s(approx (+ (* x y) (neg x)) (*.f64 y x)) (patch #s(approx (+ (* x y) (neg x)) (*.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (- (* x y) x) (taylor 0 y) (#s(alt #s(approx (+ (* x y) (neg x)) (*.f64 y x)) (patch #s(approx (+ (* x y) (neg x)) (*.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (- (* x y) x) (taylor 0 y) (#s(alt #s(approx (+ (* x y) (neg x)) (*.f64 y x)) (patch #s(approx (+ (* x y) (neg x)) (*.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) x) (patch #s(approx (- (* (+ x 1) y) x) x) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 (+ x (* -1 (/ x y))))) (taylor inf y) (#s(alt #s(approx (- (* (+ x 1) y) x) x) (patch #s(approx (- (* (+ x 1) y) x) x) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 (+ x (* -1 (/ x y))))) (taylor inf y) (#s(alt #s(approx (- (* (+ x 1) y) x) x) (patch #s(approx (- (* (+ x 1) y) x) x) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 (+ x (* -1 (/ x y))))) (taylor inf y) (#s(alt #s(approx (- (* (+ x 1) y) x) x) (patch #s(approx (- (* (+ x 1) y) x) x) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 x)) (taylor inf y) (#s(alt #s(approx (- (* (+ x 1) y) x) #s(approx (+ (* x y) (neg x)) (*.f64 y x))) (patch #s(approx (- (* (+ x 1) y) x) #s(approx (+ (* x y) (neg x)) (*.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) (neg x)) (*.f64 y x))) (patch #s(approx (- (* (+ x 1) y) x) #s(approx (+ (* x y) (neg x)) (*.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) (neg x)) (*.f64 y x))) (patch #s(approx (- (* (+ x 1) y) x) #s(approx (+ (* x y) (neg x)) (*.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) (neg x)) (*.f64 y x))) (patch #s(approx (- (* (+ x 1) y) x) #s(approx (+ (* x y) (neg x)) (*.f64 y x))) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor inf y) (#s(alt #s(approx (+ (* x y) (neg x)) (*.f64 y x)) (patch #s(approx (+ (* x y) (neg x)) (*.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* y (+ x (* -1 (/ x y)))) (taylor inf y) (#s(alt #s(approx (+ (* x y) (neg x)) (*.f64 y x)) (patch #s(approx (+ (* x y) (neg x)) (*.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* y (+ x (* -1 (/ x y)))) (taylor inf y) (#s(alt #s(approx (+ (* x y) (neg x)) (*.f64 y x)) (patch #s(approx (+ (* x y) (neg x)) (*.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* y (+ x (* -1 (/ x y)))) (taylor inf y) (#s(alt #s(approx (+ (* x y) (neg x)) (*.f64 y x)) (patch #s(approx (+ (* x y) (neg x)) (*.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) x) (patch #s(approx (- (* (+ x 1) y) x) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ (* -1 (+ 1 x)) (/ x y)))) (taylor -inf y) (#s(alt #s(approx (- (* (+ x 1) y) x) x) (patch #s(approx (- (* (+ x 1) y) x) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ (* -1 (+ 1 x)) (/ x y)))) (taylor -inf y) (#s(alt #s(approx (- (* (+ x 1) y) x) x) (patch #s(approx (- (* (+ x 1) y) x) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ (* -1 (+ 1 x)) (/ x y)))) (taylor -inf y) (#s(alt #s(approx (- (* (+ x 1) y) x) x) (patch #s(approx (- (* (+ x 1) y) x) x) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 x)) (taylor -inf y) (#s(alt #s(approx (- (* (+ x 1) y) x) #s(approx (+ (* x y) (neg x)) (*.f64 y x))) (patch #s(approx (- (* (+ x 1) y) x) #s(approx (+ (* x y) (neg x)) (*.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) (neg x)) (*.f64 y x))) (patch #s(approx (- (* (+ x 1) y) x) #s(approx (+ (* x y) (neg x)) (*.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) (neg x)) (*.f64 y x))) (patch #s(approx (- (* (+ x 1) y) x) #s(approx (+ (* x y) (neg x)) (*.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) (neg x)) (*.f64 y x))) (patch #s(approx (- (* (+ x 1) y) x) #s(approx (+ (* x y) (neg x)) (*.f64 y x))) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf y) (#s(alt #s(approx (+ (* x y) (neg x)) (*.f64 y x)) (patch #s(approx (+ (* x y) (neg x)) (*.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ (* -1 x) (/ x y)))) (taylor -inf y) (#s(alt #s(approx (+ (* x y) (neg x)) (*.f64 y x)) (patch #s(approx (+ (* x y) (neg x)) (*.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ (* -1 x) (/ x y)))) (taylor -inf y) (#s(alt #s(approx (+ (* x y) (neg x)) (*.f64 y x)) (patch #s(approx (+ (* x y) (neg x)) (*.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ (* -1 x) (/ x y)))) (taylor -inf y) (#s(alt #s(approx (+ (* x y) (neg x)) (*.f64 y x)) (patch #s(approx (+ (* x y) (neg x)) (*.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) x) (patch #s(approx (- (* (+ x 1) y) x) x) #<representation binary64>) () ())) ())
#s(alt (+ y (* x (- y 1))) (taylor 0 x) (#s(alt #s(approx (- (* (+ x 1) y) x) x) (patch #s(approx (- (* (+ x 1) y) x) x) #<representation binary64>) () ())) ())
#s(alt (+ y (* x (- y 1))) (taylor 0 x) (#s(alt #s(approx (- (* (+ x 1) y) x) x) (patch #s(approx (- (* (+ x 1) y) x) x) #<representation binary64>) () ())) ())
#s(alt (+ y (* x (- y 1))) (taylor 0 x) (#s(alt #s(approx (- (* (+ x 1) y) x) x) (patch #s(approx (- (* (+ x 1) y) x) x) #<representation binary64>) () ())) ())
#s(alt y (taylor 0 x) (#s(alt #s(approx (- (* (+ x 1) y) x) #s(approx (+ (* x y) (neg x)) (*.f64 y x))) (patch #s(approx (- (* (+ x 1) y) x) #s(approx (+ (* x y) (neg x)) (*.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) (neg x)) (*.f64 y x))) (patch #s(approx (- (* (+ x 1) y) x) #s(approx (+ (* x y) (neg x)) (*.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) (neg x)) (*.f64 y x))) (patch #s(approx (- (* (+ x 1) y) x) #s(approx (+ (* x y) (neg x)) (*.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) (neg x)) (*.f64 y x))) (patch #s(approx (- (* (+ x 1) y) x) #s(approx (+ (* x y) (neg x)) (*.f64 y x))) #<representation binary64>) () ())) ())
#s(alt (* x (- y 1)) (taylor 0 x) (#s(alt #s(approx (+ (* x y) (neg x)) (*.f64 y x)) (patch #s(approx (+ (* x y) (neg x)) (*.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* x (- y 1)) (taylor 0 x) (#s(alt #s(approx (+ (* x y) (neg x)) (*.f64 y x)) (patch #s(approx (+ (* x y) (neg x)) (*.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* x (- y 1)) (taylor 0 x) (#s(alt #s(approx (+ (* x y) (neg x)) (*.f64 y x)) (patch #s(approx (+ (* x y) (neg x)) (*.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* x (- y 1)) (taylor 0 x) (#s(alt #s(approx (+ (* x y) (neg x)) (*.f64 y x)) (patch #s(approx (+ (* x y) (neg x)) (*.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) x) (patch #s(approx (- (* (+ x 1) y) x) x) #<representation binary64>) () ())) ())
#s(alt (* x (- (+ y (/ y x)) 1)) (taylor inf x) (#s(alt #s(approx (- (* (+ x 1) y) x) x) (patch #s(approx (- (* (+ x 1) y) x) x) #<representation binary64>) () ())) ())
#s(alt (* x (- (+ y (/ y x)) 1)) (taylor inf x) (#s(alt #s(approx (- (* (+ x 1) y) x) x) (patch #s(approx (- (* (+ x 1) y) x) x) #<representation binary64>) () ())) ())
#s(alt (* x (- (+ y (/ y x)) 1)) (taylor inf x) (#s(alt #s(approx (- (* (+ x 1) y) x) x) (patch #s(approx (- (* (+ x 1) y) x) x) #<representation binary64>) () ())) ())
#s(alt (* x (- y 1)) (taylor inf x) (#s(alt #s(approx (- (* (+ x 1) y) x) #s(approx (+ (* x y) (neg x)) (*.f64 y x))) (patch #s(approx (- (* (+ x 1) y) x) #s(approx (+ (* x y) (neg x)) (*.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) (neg x)) (*.f64 y x))) (patch #s(approx (- (* (+ x 1) y) x) #s(approx (+ (* x y) (neg x)) (*.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) (neg x)) (*.f64 y x))) (patch #s(approx (- (* (+ x 1) y) x) #s(approx (+ (* x y) (neg x)) (*.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) (neg x)) (*.f64 y x))) (patch #s(approx (- (* (+ x 1) y) x) #s(approx (+ (* x y) (neg x)) (*.f64 y x))) #<representation binary64>) () ())) ())
#s(alt (* x (- y 1)) (taylor inf x) (#s(alt #s(approx (+ (* x y) (neg x)) (*.f64 y x)) (patch #s(approx (+ (* x y) (neg x)) (*.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* x (- y 1)) (taylor inf x) (#s(alt #s(approx (+ (* x y) (neg x)) (*.f64 y x)) (patch #s(approx (+ (* x y) (neg x)) (*.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* x (- y 1)) (taylor inf x) (#s(alt #s(approx (+ (* x y) (neg x)) (*.f64 y x)) (patch #s(approx (+ (* x y) (neg x)) (*.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* x (- y 1)) (taylor inf x) (#s(alt #s(approx (+ (* x y) (neg x)) (*.f64 y x)) (patch #s(approx (+ (* x y) (neg x)) (*.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) x) (patch #s(approx (- (* (+ x 1) y) x) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ 1 (+ (* -1 y) (* -1 (/ y x)))))) (taylor -inf x) (#s(alt #s(approx (- (* (+ x 1) y) x) x) (patch #s(approx (- (* (+ x 1) y) x) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ 1 (+ (* -1 y) (* -1 (/ y x)))))) (taylor -inf x) (#s(alt #s(approx (- (* (+ x 1) y) x) x) (patch #s(approx (- (* (+ x 1) y) x) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ 1 (+ (* -1 y) (* -1 (/ y x)))))) (taylor -inf x) (#s(alt #s(approx (- (* (+ x 1) y) x) x) (patch #s(approx (- (* (+ x 1) y) x) 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) (neg x)) (*.f64 y x))) (patch #s(approx (- (* (+ x 1) y) x) #s(approx (+ (* x y) (neg x)) (*.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) (neg x)) (*.f64 y x))) (patch #s(approx (- (* (+ x 1) y) x) #s(approx (+ (* x y) (neg x)) (*.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) (neg x)) (*.f64 y x))) (patch #s(approx (- (* (+ x 1) y) x) #s(approx (+ (* x y) (neg x)) (*.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) (neg x)) (*.f64 y x))) (patch #s(approx (- (* (+ x 1) y) x) #s(approx (+ (* x y) (neg x)) (*.f64 y x))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ 1 (* -1 y)))) (taylor -inf x) (#s(alt #s(approx (+ (* x y) (neg x)) (*.f64 y x)) (patch #s(approx (+ (* x y) (neg x)) (*.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ 1 (* -1 y)))) (taylor -inf x) (#s(alt #s(approx (+ (* x y) (neg x)) (*.f64 y x)) (patch #s(approx (+ (* x y) (neg x)) (*.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ 1 (* -1 y)))) (taylor -inf x) (#s(alt #s(approx (+ (* x y) (neg x)) (*.f64 y x)) (patch #s(approx (+ (* x y) (neg x)) (*.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ 1 (* -1 y)))) (taylor -inf x) (#s(alt #s(approx (+ (* x y) (neg x)) (*.f64 y x)) (patch #s(approx (+ (* x y) (neg x)) (*.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
x
@-inf
((- (* (+ x 1) y) x) (- (* (+ x 1) y) x) (+ (* x y) (neg x)) (* y x))
0.0ms
y
@-inf
((- (* (+ x 1) y) x) (- (* (+ x 1) y) x) (+ (* x y) (neg x)) (* y x))
0.0ms
x
@inf
((- (* (+ x 1) y) x) (- (* (+ x 1) y) x) (+ (* x y) (neg x)) (* y x))
0.0ms
y
@inf
((- (* (+ x 1) y) x) (- (* (+ x 1) y) x) (+ (* x y) (neg x)) (* y x))
0.0ms
y
@0
((- (* (+ x 1) y) x) (- (* (+ x 1) y) x) (+ (* x y) (neg x)) (* y x))

simplify245.0ms (6.1%)

Memory
-13.4MiB live, 179.7MiB allocated
Algorithm
1×egg-herbie
Rules
20 656×lower-fma.f64
20 656×lower-fma.f32
3 176×lower-*.f64
3 176×lower-*.f32
2 552×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
039483
1134483
2362483
3977483
42490483
53685483
64434483
74822483
85060483
95211483
105317483
08590443
Stop Event
1×iter limit
1×node limit
Counts
96 → 94
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)
(* -1 x)
(- (* x y) x)
(- (* x y) x)
(- (* x y) 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 (* -1 (/ x y)))))
(* y (+ 1 (+ x (* -1 (/ x y)))))
(* y (+ 1 (+ x (* -1 (/ x y)))))
(* x y)
(* y (+ x (* -1 (/ x y))))
(* y (+ x (* -1 (/ x y))))
(* y (+ x (* -1 (/ x y))))
(* 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))
(* -1 (* y (+ (* -1 (+ 1 x)) (/ x y))))
(* -1 (* y (+ (* -1 (+ 1 x)) (/ x y))))
(* -1 (* y (+ (* -1 (+ 1 x)) (/ x y))))
(* x y)
(* -1 (* y (+ (* -1 x) (/ x y))))
(* -1 (* y (+ (* -1 x) (/ x y))))
(* -1 (* y (+ (* -1 x) (/ 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 1)))
(+ y (* x (- y 1)))
(+ y (* x (- y 1)))
(* x (- y 1))
(* x (- y 1))
(* x (- y 1))
(* x (- y 1))
(* 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 1))
(* x (- (+ y (/ y x)) 1))
(* x (- (+ y (/ y x)) 1))
(* x (- (+ y (/ y x)) 1))
(* x (- y 1))
(* x (- y 1))
(* x (- y 1))
(* x (- y 1))
(* 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))))))
(* -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 (* -1 y))))
(* -1 (* x (+ 1 (* -1 y))))
(* -1 (* x (+ 1 (* -1 y))))
(* -1 (* x (+ 1 (* -1 y))))
(* x y)
(* x y)
(* x y)
(* x y)
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)
(* -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)
(* -1 x)
(neg.f64 x)
(- (* x y) x)
(-.f64 (*.f64 y x) x)
(- (* x y) x)
(-.f64 (*.f64 y x) x)
(- (* x y) x)
(-.f64 (*.f64 y x) x)
(* 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 (* -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)
(* x y)
(*.f64 y x)
(* y (+ x (* -1 (/ x y))))
(-.f64 (*.f64 y x) x)
(* y (+ x (* -1 (/ x y))))
(-.f64 (*.f64 y x) x)
(* y (+ x (* -1 (/ x y))))
(-.f64 (*.f64 y x) x)
(* x y)
(*.f64 y x)
(* 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)
(* 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)
(* x y)
(*.f64 y x)
(* -1 (* y (+ (* -1 x) (/ x y))))
(-.f64 (*.f64 y x) x)
(* -1 (* y (+ (* -1 x) (/ x y))))
(-.f64 (*.f64 y x) x)
(* -1 (* y (+ (* -1 x) (/ x y))))
(-.f64 (*.f64 y x) x)
(* 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 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)
(* x (- y 1))
(-.f64 (*.f64 y x) x)
(* x (- y 1))
(-.f64 (*.f64 y x) x)
(* x (- y 1))
(-.f64 (*.f64 y x) x)
(* x (- y 1))
(-.f64 (*.f64 y x) x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x (- y 1))
(-.f64 (*.f64 y x) 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 1))
(-.f64 (*.f64 y x) 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 1))
(-.f64 (*.f64 y x) x)
(* x (- y 1))
(-.f64 (*.f64 y x) x)
(* x (- y 1))
(-.f64 (*.f64 y x) x)
(* x (- y 1))
(-.f64 (*.f64 y x) x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* -1 (* x (+ 1 (* -1 y))))
(-.f64 (*.f64 y x) 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)
(* -1 (* x (+ 1 (* -1 y))))
(-.f64 (*.f64 y x) 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)
(* -1 (* x (+ 1 (* -1 y))))
(-.f64 (*.f64 y x) x)
(* -1 (* x (+ 1 (* -1 y))))
(-.f64 (*.f64 y x) x)
(* -1 (* x (+ 1 (* -1 y))))
(-.f64 (*.f64 y x) x)
(* -1 (* x (+ 1 (* -1 y))))
(-.f64 (*.f64 y x) x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)

rewrite134.0ms (3.3%)

Memory
15.3MiB live, 137.0MiB allocated
Rules
4 506×lower-fma.f64
4 506×lower-fma.f32
3 104×lower-*.f32
3 102×lower-*.f64
1 796×lower-/.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01340
01438
16038
245738
3614138
0808534
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
4 → 39
Calls
Call 1
Inputs
#s(approx (- (* (+ x 1) y) x) x)
#s(approx (- (* (+ x 1) y) x) #s(approx (+ (* x y) (neg x)) (*.f64 y x)))
#s(approx (+ (* x y) (neg x)) (*.f64 y x))
(*.f64 y x)
Outputs
#s(approx (- (* (+ x 1) y) x) x)
#s(approx (- (* (+ x 1) y) x) #s(approx (+ (* x y) (neg x)) (*.f64 y x)))
#s(approx (+ (* x y) (neg x)) (*.f64 y x))
(*.f64 (neg.f64 y) x)
(*.f64 (*.f64 y #s(literal -1 binary64)) x)
(*.f64 #s(literal -1 binary64) (*.f64 y x))
(*.f64 (*.f64 y x) #s(literal -1 binary64))
(*.f64 (*.f64 y x) #s(literal 1 binary64))
(*.f64 y x)
(*.f64 #s(literal 1 binary64) (*.f64 y x))
(*.f64 x (neg.f64 y))
(*.f64 x (*.f64 y #s(literal -1 binary64)))
(*.f64 x y)
(pow.f64 (*.f64 y x) #s(literal 1 binary64))
(/.f64 (*.f64 y (pow.f64 x #s(literal 3 binary64))) (*.f64 x x))
(/.f64 (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal 0 binary64)) (*.f64 y x))
(/.f64 (-.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) #s(literal 0 binary64)) (+.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (+.f64 #s(literal 0 binary64) (*.f64 (*.f64 y x) #s(literal 0 binary64)))))
(/.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) #s(literal 0 binary64)) (+.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 y x) #s(literal 0 binary64)))))
(/.f64 (*.f64 (*.f64 x x) y) x)
(neg.f64 (*.f64 y x))
(fma.f64 (neg.f64 y) x #s(literal 0 binary64))
(fma.f64 (*.f64 y #s(literal -1 binary64)) x #s(literal 0 binary64))
(fma.f64 #s(literal -1 binary64) (*.f64 y x) #s(literal 0 binary64))
(fma.f64 #s(literal 0 binary64) y (*.f64 y x))
(fma.f64 (*.f64 y x) #s(literal -1 binary64) #s(literal 0 binary64))
(fma.f64 (*.f64 y x) #s(literal 1 binary64) #s(literal 0 binary64))
(fma.f64 y #s(literal 0 binary64) (*.f64 y x))
(fma.f64 y x #s(literal 0 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 y x) #s(literal 0 binary64))
(fma.f64 x (neg.f64 y) #s(literal 0 binary64))
(fma.f64 x (*.f64 y #s(literal -1 binary64)) #s(literal 0 binary64))
(fma.f64 x y #s(literal 0 binary64))
(-.f64 #s(literal 0 binary64) (*.f64 y x))
(-.f64 (*.f64 y x) #s(literal 0 binary64))
(exp.f64 (*.f64 (log.f64 (*.f64 y x)) #s(literal 1 binary64)))
(+.f64 (*.f64 #s(literal 0 binary64) y) (*.f64 y x))
(+.f64 (*.f64 y #s(literal 0 binary64)) (*.f64 y x))
(+.f64 #s(literal 0 binary64) (*.f64 y x))
(+.f64 (*.f64 y x) #s(literal 0 binary64))

eval12.0ms (0.3%)

Memory
16.0MiB live, 16.0MiB allocated
Compiler

Compiled 920 to 151 computations (83.6% saved)

prune24.0ms (0.6%)

Memory
-21.9MiB live, 16.7MiB allocated
Pruning

7 alts after pruning (0 fresh and 7 done)

PrunedKeptTotal
New1330133
Fresh000
Picked022
Done055
Total1337140
Accuracy
100.0%
Counts
140 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓100.0%
(fma.f64 y x (-.f64 y x))
✓76.1%
(-.f64 (*.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) x)
✓60.3%
#s(approx (- (* (+ x 1) y) x) (fma.f64 x y (neg.f64 x)))
✓64.4%
#s(approx (- (* (+ x 1) y) x) (fma.f64 x y y))
✓36.9%
#s(approx (- (* (+ x 1) y) x) (neg.f64 x))
✓26.0%
#s(approx (- (* (+ x 1) y) x) #s(approx (+ (* x y) (neg x)) (*.f64 y x)))
✓2.7%
#s(approx (- (* (+ x 1) y) x) x)
Compiler

Compiled 73 to 52 computations (28.8% saved)

regimes10.0ms (0.3%)

Memory
22.9MiB live, 22.9MiB allocated
Counts
8 → 1
Calls
Call 1
Inputs
#s(approx (- (* (+ x 1) y) x) x)
#s(approx (- (* (+ x 1) y) x) (neg.f64 x))
#s(approx (- (* (+ x 1) y) x) #s(approx (+ (* x y) (neg x)) (*.f64 y x)))
#s(approx (- (* (+ x 1) y) x) (fma.f64 x y y))
#s(approx (- (* (+ x 1) y) x) (fma.f64 x y (neg.f64 x)))
(-.f64 (*.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) x)
(fma.f64 y x (-.f64 y x))
(-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) y) x)
Outputs
(fma.f64 y x (-.f64 y x))
Calls

3 calls:

3.0ms
(-.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)

regimes11.0ms (0.3%)

Memory
-15.9MiB live, 19.8MiB allocated
Counts
6 → 3
Calls
Call 1
Inputs
#s(approx (- (* (+ x 1) y) x) x)
#s(approx (- (* (+ x 1) y) x) (neg.f64 x))
#s(approx (- (* (+ x 1) y) x) #s(approx (+ (* x y) (neg x)) (*.f64 y x)))
#s(approx (- (* (+ x 1) y) x) (fma.f64 x y y))
#s(approx (- (* (+ x 1) y) x) (fma.f64 x y (neg.f64 x)))
(-.f64 (*.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) x)
Outputs
#s(approx (- (* (+ x 1) y) x) (fma.f64 x y y))
(-.f64 (*.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) x)
#s(approx (- (* (+ x 1) y) x) (fma.f64 x y y))
Calls

3 calls:

3.0ms
y
3.0ms
x
3.0ms
(-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) y) x)
Results
AccuracySegmentsBranch
99.1%3x
99.3%3y
90.1%3(-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) y) x)
Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes8.0ms (0.2%)

Memory
17.3MiB live, 17.3MiB allocated
Counts
5 → 3
Calls
Call 1
Inputs
#s(approx (- (* (+ x 1) y) x) x)
#s(approx (- (* (+ x 1) y) x) (neg.f64 x))
#s(approx (- (* (+ x 1) y) x) #s(approx (+ (* x y) (neg x)) (*.f64 y x)))
#s(approx (- (* (+ x 1) y) x) (fma.f64 x y y))
#s(approx (- (* (+ x 1) y) x) (fma.f64 x y (neg.f64 x)))
Outputs
#s(approx (- (* (+ x 1) y) x) (fma.f64 x y y))
#s(approx (- (* (+ x 1) y) x) (fma.f64 x y (neg.f64 x)))
#s(approx (- (* (+ x 1) y) x) (fma.f64 x y y))
Calls

3 calls:

2.0ms
y
2.0ms
x
2.0ms
(-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) y) x)
Results
AccuracySegmentsBranch
70.8%3(-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) y) x)
86.5%3x
89.2%3y
Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes3.0ms (0.1%)

Memory
5.2MiB live, 5.2MiB allocated
Counts
4 → 3
Calls
Call 1
Inputs
#s(approx (- (* (+ x 1) y) x) x)
#s(approx (- (* (+ x 1) y) x) (neg.f64 x))
#s(approx (- (* (+ x 1) y) x) #s(approx (+ (* x y) (neg x)) (*.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

1 calls:

2.0ms
y
Results
AccuracySegmentsBranch
89.0%3y
Compiler

Compiled 1 to 2 computations (-100% saved)

regimes21.0ms (0.5%)

Memory
-17.0MiB live, 23.1MiB allocated
Counts
3 → 3
Calls
Call 1
Inputs
#s(approx (- (* (+ x 1) y) x) x)
#s(approx (- (* (+ x 1) y) x) (neg.f64 x))
#s(approx (- (* (+ x 1) y) x) #s(approx (+ (* x y) (neg x)) (*.f64 y x)))
Outputs
#s(approx (- (* (+ x 1) y) x) #s(approx (+ (* x y) (neg x)) (*.f64 y x)))
#s(approx (- (* (+ x 1) y) x) (neg.f64 x))
#s(approx (- (* (+ x 1) y) x) #s(approx (+ (* x y) (neg x)) (*.f64 y x)))
Calls

3 calls:

11.0ms
x
8.0ms
y
2.0ms
(-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) y) x)
Results
AccuracySegmentsBranch
50.9%3(-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) y) x)
44.7%3x
59.6%3y
Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes5.0ms (0.1%)

Memory
16.1MiB live, 16.1MiB allocated
Counts
2 → 1
Calls
Call 1
Inputs
#s(approx (- (* (+ x 1) y) x) x)
#s(approx (- (* (+ x 1) y) x) (neg.f64 x))
Outputs
#s(approx (- (* (+ x 1) y) x) (neg.f64 x))
Calls

3 calls:

2.0ms
(-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) y) x)
2.0ms
x
2.0ms
y
Results
AccuracySegmentsBranch
36.9%1x
36.9%1(-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) y) x)
36.9%1y
Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes7.0ms (0.2%)

Memory
-22.1MiB live, 12.8MiB allocated
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

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

3 calls:

4.0ms
y
1.0ms
x
1.0ms
(-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) y) x)
Results
AccuracySegmentsBranch
2.7%1(-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) y) x)
2.7%1y
2.7%1x
Compiler

Compiled 9 to 10 computations (-11.1% saved)

bsearch31.0ms (0.8%)

Memory
6.4MiB live, 44.5MiB allocated
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
18.0ms
0.000649977670081604
1.483672996181146e+19
11.0ms
-11962.987961214354
-0.0002815935275831771
Samples
17.0ms320×0valid
Compiler

Compiled 230 to 251 computations (-9.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 6.0ms
ival-add: 2.0ms (34.1% of total)
ival-mult: 2.0ms (34.1% of total)
ival-sub: 1.0ms (17.1% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch29.0ms (0.7%)

Memory
-6.3MiB live, 31.3MiB allocated
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
11.0ms
0.000649977670081604
1.483672996181146e+19
7.0ms
-1.3513963455987715e-109
-1.2444572851911872e-110
Samples
9.0ms240×0valid
Compiler

Compiled 197 to 198 computations (-0.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 5.0ms
ival-mult: 2.0ms (44.1% of total)
ival-sub: 1.0ms (22% of total)
ival-add: 1.0ms (22% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch13.0ms (0.3%)

Memory
27.0MiB live, 27.0MiB allocated
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
10.0ms
4.800448182599126e-12
1.2431665200158477e-5
1.0ms
-1.3513963455987715e-109
-1.2444572851911872e-110
Samples
5.0ms144×0valid
Compiler

Compiled 130 to 161 computations (-23.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 3.0ms
ival-sub: 1.0ms (37.2% of total)
ival-add: 1.0ms (37.2% of total)
ival-mult: 1.0ms (37.2% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch2.0ms (0%)

Memory
4.3MiB live, 4.3MiB allocated
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
1.0ms
0.000649977670081604
1.483672996181146e+19
1.0ms
-11962.987961214354
-0.0002815935275831771
Compiler

Compiled 170 to 231 computations (-35.9% saved)

simplify62.0ms (1.5%)

Memory
-17.6MiB live, 72.0MiB allocated
Algorithm
1×egg-herbie
Rules
6×*-commutative-binary64-*.f64
6×+-commutative-binary64-+.f64
6×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
041207
150207
254207
355207
Stop Event
1×saturated
Calls
Call 1
Inputs
(fma.f64 y x (-.f64 y x))
(if (<=.f64 y #s(literal -1 binary64)) #s(approx (- (* (+ x 1) y) x) (fma.f64 x y y)) (if (<=.f64 y #s(literal 1 binary64)) (-.f64 (*.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) x) #s(approx (- (* (+ x 1) y) x) (fma.f64 x y y))))
(if (<=.f64 y #s(literal -2326917010141675/21153791001287955166461289857048673274508949854856999017108761448780985319561963066406054734070889115122918784800747465736192 binary64)) #s(approx (- (* (+ x 1) y) x) (fma.f64 x y y)) (if (<=.f64 y #s(literal 245 binary64)) #s(approx (- (* (+ x 1) y) x) (fma.f64 x y (neg.f64 x))) #s(approx (- (* (+ x 1) y) x) (fma.f64 x y y))))
(if (<=.f64 y #s(literal -2326917010141675/21153791001287955166461289857048673274508949854856999017108761448780985319561963066406054734070889115122918784800747465736192 binary64)) #s(approx (- (* (+ x 1) y) x) (fma.f64 x y y)) (if (<=.f64 y #s(literal 8975065284819007/309485009821345068724781056 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 -1 binary64)) #s(approx (- (* (+ x 1) y) x) #s(approx (+ (* x y) (neg x)) (*.f64 y x))) (if (<=.f64 y #s(literal 1 binary64)) #s(approx (- (* (+ x 1) y) x) (neg.f64 x)) #s(approx (- (* (+ x 1) y) x) #s(approx (+ (* x y) (neg x)) (*.f64 y x)))))
#s(approx (- (* (+ x 1) y) x) (neg.f64 x))
#s(approx (- (* (+ x 1) y) x) x)
Outputs
(fma.f64 y x (-.f64 y x))
(if (<=.f64 y #s(literal -1 binary64)) #s(approx (- (* (+ x 1) y) x) (fma.f64 x y y)) (if (<=.f64 y #s(literal 1 binary64)) (-.f64 (*.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) x) #s(approx (- (* (+ x 1) y) x) (fma.f64 x y y))))
(if (<=.f64 y #s(literal -2326917010141675/21153791001287955166461289857048673274508949854856999017108761448780985319561963066406054734070889115122918784800747465736192 binary64)) #s(approx (- (* (+ x 1) y) x) (fma.f64 x y y)) (if (<=.f64 y #s(literal 245 binary64)) #s(approx (- (* (+ x 1) y) x) (fma.f64 x y (neg.f64 x))) #s(approx (- (* (+ x 1) y) x) (fma.f64 x y y))))
(if (<=.f64 y #s(literal -2326917010141675/21153791001287955166461289857048673274508949854856999017108761448780985319561963066406054734070889115122918784800747465736192 binary64)) #s(approx (- (* (+ x 1) y) x) (fma.f64 x y y)) (if (<=.f64 y #s(literal 8975065284819007/309485009821345068724781056 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 -1 binary64)) #s(approx (- (* (+ x 1) y) x) #s(approx (+ (* x y) (neg x)) (*.f64 y x))) (if (<=.f64 y #s(literal 1 binary64)) #s(approx (- (* (+ x 1) y) x) (neg.f64 x)) #s(approx (- (* (+ x 1) y) x) #s(approx (+ (* x y) (neg x)) (*.f64 y x)))))
(if (<=.f64 y #s(literal -1 binary64)) #s(approx (- (* (+ x 1) y) x) #s(approx (+ (* x y) (neg x)) (*.f64 x y))) (if (<=.f64 y #s(literal 1 binary64)) #s(approx (- (* (+ x 1) y) x) (neg.f64 x)) #s(approx (- (* (+ x 1) y) x) #s(approx (+ (* x y) (neg x)) (*.f64 x y)))))
#s(approx (- (* (+ x 1) y) x) (neg.f64 x))
#s(approx (- (* (+ x 1) y) x) x)

soundness1.1s (28.1%)

Memory
-13.4MiB live, 462.6MiB allocated
Rules
6 192×lower-fma.f32
6 186×lower-fma.f64
5 040×lower-fma.f64
5 040×lower-fma.f32
4 208×lower-*.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
041291
1140291
2363291
3978291
42455291
53593291
64358291
75301291
85827291
96391291
107434291
08103250
01776
02673
112673
297669
0965668
0641199
12101199
25371199
311511199
424721199
535181199
642681199
752111199
857381199
963021199
1073611199
080301057
0615
0915
13815
226915
3336215
0849513
Stop Event
1×done
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×node limit
Compiler

Compiled 152 to 83 computations (45.4% saved)

preprocess70.0ms (1.7%)

Memory
8.7MiB live, 82.6MiB allocated
Compiler

Compiled 216 to 82 computations (62% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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