Data.Colour.SRGB:transferFunction from colour-2.3.3

Time bar (total: 4.3s)

start0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated

analyze0.0ms (0%)

Memory
0.9MiB live, 0.9MiB 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)

sample707.0ms (16.3%)

Memory
4.2MiB live, 1 094.3MiB allocated
Samples
475.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 205.0ms
ival-sub: 79.0ms (38.6% of total)
ival-add: 56.0ms (27.4% of total)
ival-mult: 56.0ms (27.4% of total)
ival-true: 5.0ms (2.4% of total)
exact: 5.0ms (2.4% of total)
ival-assert: 3.0ms (1.5% of total)
Bogosity

explain67.0ms (1.5%)

Memory
-24.0MiB live, 176.2MiB 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: 10.0ms
ival-mult: 4.0ms (38.4% of total)
ival-add: 3.0ms (28.8% of total)
ival-sub: 2.0ms (19.2% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess90.0ms (2.1%)

Memory
28.6MiB live, 108.3MiB allocated
Algorithm
1×egg-herbie
Rules
496×lower-fma.f64
496×lower-fma.f32
232×unsub-neg
192×lower-*.f32
190×lower-*.f64
Iterations

Useful iterations: 0 (0.0ms)

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

Compiled 7 to 6 computations (14.3% saved)

eval0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Compiler

Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (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)

simplify35.0ms (0.8%)

Memory
-23.2MiB live, 16.3MiB 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

localize15.0ms (0.3%)

Memory
18.4MiB live, 18.4MiB allocated
Localize:

Found 3 expressions of interest:

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

Compiled 20 to 8 computations (60% saved)

Precisions
Click to see histograms. Total time spent on operations: 4.0ms
ival-mult: 2.0ms (46.4% of total)
ival-sub: 1.0ms (23.2% of total)
ival-add: 1.0ms (23.2% 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
5.5MiB live, 5.5MiB 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))

simplify268.0ms (6.2%)

Memory
-24.3MiB live, 101.9MiB 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))

rewrite466.0ms (10.8%)

Memory
12.3MiB live, 246.6MiB 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) (hypot.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1 binary64)) (pow.f64 (-.f64 (hypot.f64 (*.f64 x x) (-.f64 x #s(literal 1 binary64))) (hypot.f64 x (pow.f64 x #s(literal 3/2 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) (hypot.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3 binary64)))) (-.f64 (hypot.f64 (*.f64 x x) (-.f64 x #s(literal 1 binary64))) (hypot.f64 x (pow.f64 x #s(literal 3/2 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 (hypot.f64 (fma.f64 y x y) x) #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) (hypot.f64 (fma.f64 y x y) x) (pow.f64 (fma.f64 y x y) #s(literal 4 binary64))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (fma.f64 (fma.f64 x x x) y (hypot.f64 (fma.f64 y x y) 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 (-.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 x x x) y (hypot.f64 (fma.f64 y x y) x)) (-.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 (hypot.f64 (-.f64 (pow.f64 (fma.f64 y x y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (*.f64 (fma.f64 y x y) x) #s(literal 3/2 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)))) (-.f64 (hypot.f64 (fma.f64 y x y) x) (*.f64 (fma.f64 y x y) x)))
(*.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 x x x) y (hypot.f64 (fma.f64 y x y) x)) #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 x x x) y (hypot.f64 (fma.f64 y x y) x)) #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 x x x) y (hypot.f64 (fma.f64 y x y) x))) #s(literal -1 binary64)))
(*.f64 (fma.f64 y (+.f64 #s(literal 1 binary64) x) x) (/.f64 (-.f64 (fma.f64 y x y) x) (fma.f64 y (+.f64 #s(literal 1 binary64) x) x)))
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(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 (+.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)))
(*.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) x))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))
(*.f64 (pow.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))
(*.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64)))
(*.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))
(*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 (neg.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x))) #s(literal -1 binary64)))
(*.f64 (fma.f64 x x #s(literal -1 binary64)) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)))
(*.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))))
(*.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 (-.f64 x #s(literal 1 binary64)) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64))))
(*.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))
(pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal -1 binary64))
(pow.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) #s(literal -1 binary64))
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)))) (neg.f64 (fma.f64 x x #s(literal 1 binary64))))
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)))) (neg.f64 (+.f64 (fma.f64 x x #s(literal 1 binary64)) (pow.f64 x #s(literal 4 binary64)))))
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)))) (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))))
(/.f64 (neg.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 9 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)))) (neg.f64 (-.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 x (/.f64 x (-.f64 x #s(literal 1 binary64)))) #s(literal 2 binary64)) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -2 binary64)))) (neg.f64 (fma.f64 x (/.f64 x (-.f64 x #s(literal 1 binary64))) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)))))
(/.f64 (neg.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -3 binary64))) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -3 binary64)))) (neg.f64 (+.f64 (pow.f64 (*.f64 x (/.f64 x (-.f64 x #s(literal 1 binary64)))) #s(literal 2 binary64)) (+.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -2 binary64)) (*.f64 (*.f64 x (/.f64 x (-.f64 x #s(literal 1 binary64)))) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)))) (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) x))))
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (neg.f64 (*.f64 (fma.f64 x x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))))
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (neg.f64 (*.f64 (+.f64 (fma.f64 x x #s(literal 1 binary64)) (pow.f64 x #s(literal 4 binary64))) (-.f64 x #s(literal 1 binary64)))))
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (neg.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 x x (-.f64 #s(literal 1 binary64) x)))))
(/.f64 (neg.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 9 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (neg.f64 (*.f64 (-.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x (-.f64 #s(literal 1 binary64) x)))))
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 x x) (-.f64 x #s(literal 1 binary64))) (*.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)))) (neg.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 2 binary64))))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 1 binary64))) (neg.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x))))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))) (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) x))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)))) (neg.f64 (neg.f64 (neg.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x))))))
(/.f64 (-.f64 (*.f64 (neg.f64 x) x) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) x))
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64))) (fma.f64 x x #s(literal 1 binary64)))
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64))) (+.f64 (fma.f64 x x #s(literal 1 binary64)) (pow.f64 x #s(literal 4 binary64))))
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64))) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)))
(/.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 9 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64))) (-.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64))))
(/.f64 (-.f64 (pow.f64 (*.f64 x (/.f64 x (-.f64 x #s(literal 1 binary64)))) #s(literal 2 binary64)) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -2 binary64))) (fma.f64 x (/.f64 x (-.f64 x #s(literal 1 binary64))) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64))))
(/.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -3 binary64))) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -3 binary64))) (+.f64 (pow.f64 (*.f64 x (/.f64 x (-.f64 x #s(literal 1 binary64)))) #s(literal 2 binary64)) (+.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -2 binary64)) (*.f64 (*.f64 x (/.f64 x (-.f64 x #s(literal 1 binary64)))) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))) (neg.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64))) (neg.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) (+.f64 (fma.f64 x x #s(literal 1 binary64)) (pow.f64 x #s(literal 4 binary64))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64))) (neg.f64 (*.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) (neg.f64 (-.f64 #s(literal 1 binary64) x)))
(/.f64 (neg.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) (neg.f64 (-.f64 #s(literal 1 binary64) x)))
(/.f64 (neg.f64 (-.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 (pow.f64 x #s(literal 9 binary64)) #s(literal 1 binary64))) (neg.f64 (*.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) (-.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64))))))
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 x x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))))
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 (+.f64 (fma.f64 x x #s(literal 1 binary64)) (pow.f64 x #s(literal 4 binary64))) (-.f64 x #s(literal 1 binary64))))
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 x x (-.f64 #s(literal 1 binary64) x))))
(/.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 9 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 (-.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x (-.f64 #s(literal 1 binary64) x))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 1 binary64)) (fma.f64 x x (-.f64 #s(literal 1 binary64) x)))
(/.f64 (-.f64 (*.f64 (*.f64 x x) (-.f64 x #s(literal 1 binary64))) (*.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 2 binary64)))
(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 x x)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))))
(/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) (*.f64 (-.f64 x #s(literal 1 binary64)) (+.f64 (fma.f64 x x #s(literal 1 binary64)) (pow.f64 x #s(literal 4 binary64)))))
(/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))))
(/.f64 (+.f64 (pow.f64 x #s(literal 9 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) (-.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64)))))
(/.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))
(/.f64 (-.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 (fma.f64 x x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x (-.f64 #s(literal 1 binary64) x)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 x x))))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))
(neg.f64 (/.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))))
(neg.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 x x (-.f64 #s(literal 1 binary64) x))))
(neg.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) x)))
(neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (neg.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)))))
(fma.f64 (/.f64 (*.f64 x x) (-.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)) (neg.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64))))
(fma.f64 (/.f64 (*.f64 x x) (fma.f64 x x #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) x) (neg.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64))))
(fma.f64 (*.f64 x x) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)) (neg.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64))))
(fma.f64 #s(literal 1 binary64) x #s(literal 1 binary64))
(fma.f64 x (/.f64 x (-.f64 x #s(literal 1 binary64))) (neg.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64))))
(fma.f64 x #s(literal 1 binary64) #s(literal 1 binary64))
(-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (/.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) x)))
(-.f64 (*.f64 x (/.f64 x (-.f64 x #s(literal 1 binary64)))) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))) #s(literal -1 binary64)))
(+.f64 (*.f64 x (/.f64 x (-.f64 x #s(literal 1 binary64)))) (neg.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64))))
(+.f64 #s(literal 1 binary64) x)
(+.f64 x #s(literal 1 binary64))

eval89.0ms (2.1%)

Memory
-16.6MiB live, 103.6MiB allocated
Compiler

Compiled 7 767 to 1 058 computations (86.4% saved)

prune8.0ms (0.2%)

Memory
34.3MiB live, 34.3MiB 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))
▶78.2%
(-.f64 (*.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) x)
▶62.1%
#s(approx (- (* (+ x 1) y) x) (fma.f64 x y (neg.f64 x)))
▶61.0%
#s(approx (- (* (+ x 1) y) x) (fma.f64 x y y))
▶40.5%
#s(approx (- (* (+ x 1) y) x) (neg.f64 x))
Compiler

Compiled 52 to 46 computations (11.5% saved)

simplify31.0ms (0.7%)

Memory
-26.2MiB live, 55.8MiB 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
761485
861785
961985
061985
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

localize37.0ms (0.9%)

Memory
4.6MiB live, 79.5MiB allocated
Localize:

Found 12 expressions of interest:

NewMetricScoreProgram
accuracy0.00390625
(-.f64 (*.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) x)
accuracy0.00390625
(*.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y)
accuracy30.105448305101092
#s(approx (+ x 1) #s(literal 1 binary64))
accuracy0
(fma.f64 x y (neg.f64 x))
accuracy0
(neg.f64 x)
accuracy24.275586286361868
#s(approx (- (* (+ x 1) y) x) (fma.f64 x y (neg.f64 x)))
accuracy0
(fma.f64 x y y)
accuracy24.9445047445861
#s(approx (- (* (+ x 1) y) x) (fma.f64 x y y))
accuracy0
(neg.f64 x)
accuracy38.06902913905868
#s(approx (- (* (+ x 1) y) x) (neg.f64 x))
accuracy0
(fma.f64 y x (-.f64 y x))
accuracy0
(-.f64 y x)
Samples
27.0ms256×0valid
Compiler

Compiled 73 to 15 computations (79.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 15.0ms
ival-mult: 7.0ms (45.7% of total)
ival-add: 4.0ms (26.1% of total)
ival-sub: 2.0ms (13.1% of total)
ival-neg: 1.0ms (6.5% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series13.0ms (0.3%)

Memory
-9.7MiB live, 28.4MiB 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>) () ())) ())
#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>) () ())) ())
#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>) () ())) ())
#s(alt y (taylor -inf y) (#s(alt (-.f64 y x) (patch (-.f64 y x) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* y (- (/ x y) 1))) (taylor -inf y) (#s(alt (-.f64 y x) (patch (-.f64 y x) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* y (- (/ x y) 1))) (taylor -inf y) (#s(alt (-.f64 y x) (patch (-.f64 y x) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* y (- (/ x y) 1))) (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 (* -1 (* y (+ (* -1 (+ 1 x)) (/ x y)))) (taylor -inf y) (#s(alt #s(approx (- (* (+ x 1) y) x) (neg.f64 x)) (patch #s(approx (- (* (+ x 1) y) x) (neg.f64 x)) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* y (+ (* -1 (+ 1 x)) (/ x y)))) (taylor -inf y) (#s(alt #s(approx (- (* (+ x 1) y) x) (neg.f64 x)) (patch #s(approx (- (* (+ x 1) y) x) (neg.f64 x)) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* y (+ (* -1 (+ 1 x)) (/ x y)))) (taylor -inf y) (#s(alt #s(approx (- (* (+ x 1) y) x) (neg.f64 x)) (patch #s(approx (- (* (+ x 1) y) x) (neg.f64 x)) #<representation:binary64>) () ())) ())
#s(alt (* y (+ 1 x)) (taylor -inf y) (#s(alt #s(approx (- (* (+ x 1) y) x) (fma.f64 x y y)) (patch #s(approx (- (* (+ x 1) y) x) (fma.f64 x y y)) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* y (+ (* -1 (+ 1 x)) (/ x y)))) (taylor -inf y) (#s(alt #s(approx (- (* (+ x 1) y) x) (fma.f64 x y y)) (patch #s(approx (- (* (+ x 1) y) x) (fma.f64 x y y)) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* y (+ (* -1 (+ 1 x)) (/ x y)))) (taylor -inf y) (#s(alt #s(approx (- (* (+ x 1) y) x) (fma.f64 x y y)) (patch #s(approx (- (* (+ x 1) y) x) (fma.f64 x y y)) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* y (+ (* -1 (+ 1 x)) (/ x y)))) (taylor -inf y) (#s(alt #s(approx (- (* (+ x 1) y) x) (fma.f64 x y y)) (patch #s(approx (- (* (+ x 1) y) x) (fma.f64 x y y)) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* y (- (* -1 x) 1))) (taylor -inf y) (#s(alt (fma.f64 x y y) (patch (fma.f64 x y y) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* y (- (* -1 x) 1))) (taylor -inf y) (#s(alt (fma.f64 x y y) (patch (fma.f64 x y y) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* y (- (* -1 x) 1))) (taylor -inf y) (#s(alt (fma.f64 x y y) (patch (fma.f64 x y y) #<representation:binary64>) () ())) ())
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#s(alt (* -1 x) (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))

simplify207.0ms (4.8%)

Memory
31.2MiB live, 190.6MiB 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))

rewrite181.0ms (4.2%)

Memory
-2.6MiB live, 308.0MiB 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 (fma.f64 x y y) x (hypot.f64 x (fma.f64 x y y))) #s(literal -1 binary64))))
(*.f64 (/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) y x) (hypot.f64 (pow.f64 (*.f64 x y) #s(literal 3/2 binary64)) (pow.f64 (-.f64 y x) #s(literal 3/2 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) (neg.f64 (hypot.f64 (fma.f64 x y y) x))) (/.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)) (hypot.f64 (fma.f64 x y y) 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 (fma.f64 x y y) x (hypot.f64 x (fma.f64 x y y))))))
(*.f64 (hypot.f64 (fma.f64 x y y) x) (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) y x) #s(literal -1 binary64)))
(*.f64 (neg.f64 (hypot.f64 (fma.f64 x y y) x)) (/.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 (fma.f64 x y y) x (hypot.f64 x (fma.f64 x y y))) #s(literal -1 binary64)))
(*.f64 (hypot.f64 (pow.f64 (*.f64 x y) #s(literal 3/2 binary64)) (pow.f64 (-.f64 y x) #s(literal 3/2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (hypot.f64 (fma.f64 x y y) x) (*.f64 (*.f64 x y) (-.f64 y x)))))
(*.f64 (hypot.f64 (pow.f64 (*.f64 x y) #s(literal 3/2 binary64)) (pow.f64 (-.f64 y x) #s(literal 3/2 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))
(pow.f64 (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) y x) #s(literal -1 binary64)) #s(literal -1 binary64))
(/.f64 (-.f64 (*.f64 (/.f64 (hypot.f64 (*.f64 x y) y) (fma.f64 (-.f64 #s(literal 1 binary64) x) y x)) (/.f64 (hypot.f64 (*.f64 x y) y) (fma.f64 (-.f64 #s(literal 1 binary64) x) y x))) (*.f64 (/.f64 (*.f64 x x) (fma.f64 (-.f64 #s(literal 1 binary64) x) y x)) (/.f64 (*.f64 x x) (fma.f64 (-.f64 #s(literal 1 binary64) x) y x)))) (fma.f64 (-.f64 #s(literal 1 binary64) x) y x))
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) x) y x)) (/.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) x) y x))) (*.f64 (/.f64 (hypot.f64 y x) (fma.f64 #s(literal -1 binary64) y (fma.f64 x y x))) (/.f64 (hypot.f64 y x) (fma.f64 #s(literal -1 binary64) y (fma.f64 x y x))))) (+.f64 (/.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) x) y x)) (/.f64 (hypot.f64 y x) (fma.f64 #s(literal -1 binary64) y (fma.f64 x y x)))))
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (fma.f64 x y y) #s(literal 3 binary64)) (fma.f64 (fma.f64 x y y) x (hypot.f64 x (fma.f64 x y y)))) (/.f64 (pow.f64 (fma.f64 x y y) #s(literal 3 binary64)) (fma.f64 (fma.f64 x y y) x (hypot.f64 x (fma.f64 x y y))))) (*.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 x y y) x (hypot.f64 x (fma.f64 x y y)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 x y y) x (hypot.f64 x (fma.f64 x y y)))))) (+.f64 (/.f64 (pow.f64 (fma.f64 x y y) #s(literal 3 binary64)) (fma.f64 (fma.f64 x y y) x (hypot.f64 x (fma.f64 x y y)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 x y y) x (hypot.f64 x (fma.f64 x y y))))))
(/.f64 (-.f64 (*.f64 x x) (hypot.f64 (*.f64 x y) y)) (-.f64 x (fma.f64 x y y)))
(/.f64 (-.f64 (*.f64 y y) (hypot.f64 (*.f64 x y) x)) (fma.f64 (-.f64 #s(literal 1 binary64) x) y x))
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eval112.0ms (2.6%)

Memory
-2.6MiB live, 199.1MiB allocated
Compiler

Compiled 10 552 to 1 251 computations (88.1% saved)

prune20.0ms (0.5%)

Memory
-3.9MiB live, 73.7MiB 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))
✓78.2%
(-.f64 (*.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) x)
✓62.1%
#s(approx (- (* (+ x 1) y) x) (fma.f64 x y (neg.f64 x)))
✓61.0%
#s(approx (- (* (+ x 1) y) x) (fma.f64 x y y))
✓40.5%
#s(approx (- (* (+ x 1) y) x) (neg.f64 x))
▶24.3%
#s(approx (- (* (+ x 1) y) x) #s(approx (+ (* x y) (neg x)) (*.f64 y x)))
▶2.6%
#s(approx (- (* (+ x 1) y) x) x)
Compiler

Compiled 33 to 31 computations (6.1% saved)

simplify21.0ms (0.5%)

Memory
11.2MiB live, 50.3MiB 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

localize30.0ms (0.7%)

Memory
-23.1MiB live, 63.9MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0
(*.f64 y x)
accuracy24.275586286361868
#s(approx (- (* (+ x 1) y) x) #s(approx (+ (* x y) (neg x)) (*.f64 y x)))
accuracy32.73016262778339
#s(approx (+ (* x y) (neg x)) (*.f64 y x))
accuracy62.34037397243845
#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 (51.7% of total)
ival-add: 3.0ms (25.8% of total)
ival-sub: 1.0ms (8.6% of total)
ival-neg: 1.0ms (8.6% 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
13.0MiB live, 13.0MiB 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))

simplify251.0ms (5.8%)

Memory
17.7MiB live, 245.9MiB 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)

rewrite136.0ms (3.1%)

Memory
-10.7MiB live, 149.0MiB 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))

eval13.0ms (0.3%)

Memory
20.8MiB live, 20.8MiB allocated
Compiler

Compiled 920 to 151 computations (83.6% saved)

prune61.0ms (1.4%)

Memory
-46.2MiB live, 53.8MiB 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))
✓78.2%
(-.f64 (*.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) x)
✓62.1%
#s(approx (- (* (+ x 1) y) x) (fma.f64 x y (neg.f64 x)))
✓61.0%
#s(approx (- (* (+ x 1) y) x) (fma.f64 x y y))
✓40.5%
#s(approx (- (* (+ x 1) y) x) (neg.f64 x))
✓24.3%
#s(approx (- (* (+ x 1) y) x) #s(approx (+ (* x y) (neg x)) (*.f64 y x)))
✓2.6%
#s(approx (- (* (+ x 1) y) x) x)
Compiler

Compiled 73 to 52 computations (28.8% saved)

regimes10.0ms (0.2%)

Memory
19.3MiB live, 19.3MiB 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)

regimes10.0ms (0.2%)

Memory
-21.2MiB live, 16.8MiB 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 (neg.f64 x)))
(-.f64 (*.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) x)
#s(approx (- (* (+ x 1) y) x) (fma.f64 x y (neg.f64 x)))
Calls

3 calls:

4.0ms
x
3.0ms
(-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) y) x)
3.0ms
y
Results
AccuracySegmentsBranch
99.4%3x
99.0%3y
88.4%3(-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) y) x)
Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes5.0ms (0.1%)

Memory
11.0MiB live, 11.0MiB 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 (neg.f64 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)))
Calls

2 calls:

2.0ms
x
2.0ms
y
Results
AccuracySegmentsBranch
87.1%3y
88.9%3x
Compiler

Compiled 2 to 4 computations (-100% saved)

regimes7.0ms (0.2%)

Memory
16.4MiB live, 16.4MiB 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

3 calls:

2.0ms
(-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) y) x)
2.0ms
x
2.0ms
y
Results
AccuracySegmentsBranch
86.7%3y
64.7%3(-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) y) x)
68.0%3x
Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes8.0ms (0.2%)

Memory
-22.3MiB live, 15.3MiB 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:

3.0ms
x
2.0ms
(-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) y) x)
2.0ms
y
Results
AccuracySegmentsBranch
50.3%3(-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) y) x)
40.5%1x
61.3%3y
Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes4.0ms (0.1%)

Memory
8.7MiB live, 8.7MiB 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

2 calls:

2.0ms
(-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) y) x)
2.0ms
y
Results
AccuracySegmentsBranch
40.5%1(-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) y) x)
40.5%1y
Compiler

Compiled 8 to 8 computations (0% saved)

regimes4.0ms (0.1%)

Memory
10.3MiB live, 10.3MiB 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:

1.0ms
y
1.0ms
(-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) y) x)
1.0ms
x
Results
AccuracySegmentsBranch
2.6%1x
2.6%1y
2.6%1(-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) y) x)
Compiler

Compiled 9 to 10 computations (-11.1% saved)

bsearch26.0ms (0.6%)

Memory
-11.7MiB live, 32.1MiB allocated
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
10.0ms
1.0878166153334954e-33
5.546266136881824e-27
13.0ms
-1020655.9333464635
-0.005782617799501295
Samples
13.0ms288×0valid
Compiler

Compiled 226 to 245 computations (-8.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 5.0ms
ival-mult: 2.0ms (38.7% of total)
ival-sub: 1.0ms (19.3% of total)
ival-add: 1.0ms (19.3% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch18.0ms (0.4%)

Memory
20.2MiB live, 20.2MiB allocated
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
8.0ms
1.0878166153334954e-33
5.546266136881824e-27
8.0ms
-2.299425372919812e-76
-3.2147368025980686e-78
Samples
8.0ms224×0valid
Compiler

Compiled 186 to 187 computations (-0.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 4.0ms
ival-sub: 1.0ms (25.1% of total)
ival-add: 1.0ms (25.1% of total)
ival-mult: 1.0ms (25.1% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch30.0ms (0.7%)

Memory
-11.0MiB live, 27.2MiB allocated
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
10.0ms
4.947470493896126e-64
1.1119139064161681e-58
17.0ms
-8.338274402481803e-79
-1.0356882281322027e-92
Samples
11.0ms304×0valid
Compiler

Compiled 162 to 201 computations (-24.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 5.0ms
ival-add: 2.0ms (36.6% of total)
ival-mult: 2.0ms (36.6% of total)
ival-sub: 1.0ms (18.3% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch36.0ms (0.8%)

Memory
-4.9MiB live, 33.3MiB allocated
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
24.0ms
0.030157655528055986
114977279411913090.0
10.0ms
-12424.267908188818
-0.08626711086427225
Samples
11.0ms304×0valid
Compiler

Compiled 162 to 220 computations (-35.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 5.0ms
ival-add: 2.0ms (36.8% of total)
ival-mult: 2.0ms (36.8% of total)
ival-sub: 1.0ms (18.4% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

simplify37.0ms (0.8%)

Memory
-13.0MiB live, 62.5MiB 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
046210
155210
259210
360210
Stop Event
1×saturated
Calls
Call 1
Inputs
(fma.f64 y x (-.f64 y x))
(if (<=.f64 x #s(literal -1 binary64)) #s(approx (- (* (+ x 1) y) x) (fma.f64 x y (neg.f64 x))) (if (<=.f64 x #s(literal 3832940580997451/696898287454081973172991196020261297061888 binary64)) (-.f64 (*.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) x) #s(approx (- (* (+ x 1) y) x) (fma.f64 x y (neg.f64 x)))))
(if (<=.f64 x #s(literal -2770368927814901/16296287810675888690147565507275025288411747149327490005089123594835050398106693649467179008 binary64)) #s(approx (- (* (+ x 1) y) x) (fma.f64 x y (neg.f64 x))) (if (<=.f64 x #s(literal 4816960962882615/178405961588244985132285746181186892047843328 binary64)) #s(approx (- (* (+ x 1) y) x) (fma.f64 x y y)) #s(approx (- (* (+ x 1) y) x) (fma.f64 x y (neg.f64 x)))))
(if (<=.f64 y #s(literal -3898176340555661/266998379490113760299377713271194014325338065294581596243380200977777465722580068752870260867072 binary64)) #s(approx (- (* (+ x 1) y) x) (fma.f64 x y y)) (if (<=.f64 y #s(literal 2894802230932905/57896044618658097711785492504343953926634992332820282019728792003956564819968 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 x #s(literal -1 binary64)) #s(approx (- (* (+ x 1) y) x) (fma.f64 x y (neg.f64 x))) (if (<=.f64 x #s(literal 3832940580997451/696898287454081973172991196020261297061888 binary64)) (-.f64 (*.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) x) #s(approx (- (* (+ x 1) y) x) (fma.f64 x y (neg.f64 x)))))
(if (<=.f64 x #s(literal -2770368927814901/16296287810675888690147565507275025288411747149327490005089123594835050398106693649467179008 binary64)) #s(approx (- (* (+ x 1) y) x) (fma.f64 x y (neg.f64 x))) (if (<=.f64 x #s(literal 4816960962882615/178405961588244985132285746181186892047843328 binary64)) #s(approx (- (* (+ x 1) y) x) (fma.f64 x y y)) #s(approx (- (* (+ x 1) y) x) (fma.f64 x y (neg.f64 x)))))
(if (<=.f64 y #s(literal -3898176340555661/266998379490113760299377713271194014325338065294581596243380200977777465722580068752870260867072 binary64)) #s(approx (- (* (+ x 1) y) x) (fma.f64 x y y)) (if (<=.f64 y #s(literal 2894802230932905/57896044618658097711785492504343953926634992332820282019728792003956564819968 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)

soundness1.2s (27.4%)

Memory
18.6MiB live, 572.1MiB 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
0641199
12101199
25371199
311511199
424721199
535181199
642681199
752111199
857381199
963021199
1073611199
080301057
01776
02673
112673
297669
0965668
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×iter limit
1×node limit
1×iter limit
1×node limit
Compiler

Compiled 156 to 89 computations (42.9% saved)

preprocess79.0ms (1.8%)

Memory
5.1MiB live, 87.7MiB allocated
Compiler

Compiled 222 to 92 computations (58.6% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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