Data.Random.Distribution.Normal:normalTail from random-fu-0.2.6.2

Time bar (total: 2.6s)

start0.0ms (0%)

Memory
0.2MiB live, 0.1MiB allocated

analyze0.0ms (0%)

Memory
0.7MiB live, 0.7MiB 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 7 computations (22.2% saved)

sample614.0ms (23.6%)

Memory
35.4MiB live, 900.3MiB allocated
Samples
408.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 216.0ms
ival-mult: 114.0ms (52.7% of total)
ival-add: 94.0ms (43.5% of total)
ival-true: 4.0ms (1.8% of total)
ival-assert: 3.0ms (1.4% of total)
Bogosity

explain71.0ms (2.7%)

Memory
1.1MiB live, 95.6MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-(+.f64 (*.f64 x x) y)
00-0-(+.f64 (+.f64 (*.f64 x x) y) y)
00-0-y
00-0-(*.f64 x x)
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
21.0ms512×0valid
Compiler

Compiled 62 to 24 computations (61.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 9.0ms
ival-add: 5.0ms (54.3% of total)
ival-mult: 4.0ms (43.5% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess32.0ms (1.2%)

Memory
-25.6MiB live, 51.8MiB allocated
Algorithm
1×egg-herbie
Rules
118×sub-neg
108×unsub-neg
72×associate-+l-
64×distribute-rgt-in
58×associate--r+
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01537
15036
215135
335835
452935
566335
668735
057
087
1127
2157
3167
0166
Stop Event
1×iter limit
1×saturated
1×iter limit
1×saturated
Calls
Call 1
Inputs
(+.f64 (+.f64 (*.f64 x x) y) y)
Outputs
(+.f64 (+.f64 (*.f64 x x) y) y)
(fma.f64 #s(literal 2 binary64) y (*.f64 x x))
Symmetry

(abs x)

Compiler

Compiled 7 to 5 computations (28.6% saved)

eval0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated
Compiler

Compiled 0 to 2 computations (-∞% saved)

prune1.0ms (0%)

Memory
1.6MiB live, 1.6MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶100.0%
(+.f64 (+.f64 (*.f64 x x) y) y)
Compiler

Compiled 7 to 5 computations (28.6% saved)

simplify3.0ms (0.1%)

Memory
7.6MiB live, 7.6MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 3 expressions of interest:

NewMetricScoreProgram
cost-diff-128
(+.f64 (+.f64 (*.f64 x x) y) y)
cost-diff0
(*.f64 x x)
cost-diff128
(+.f64 (*.f64 x x) y)
Rules
14×lower-+.f32
10×lower-+.f64
8×lower-fma.f64
8×lower-fma.f32
6×lower-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0517
0817
11217
21517
31617
01615
Stop Event
1×iter limit
1×saturated
1×iter limit
Calls
Call 1
Inputs
(+.f64 (+.f64 (*.f64 x x) y) y)
(+.f64 (*.f64 x x) y)
(*.f64 x x)
x
y
Outputs
(+.f64 (+.f64 (*.f64 x x) y) y)
(fma.f64 #s(literal 2 binary64) y (*.f64 x x))
(+.f64 (*.f64 x x) y)
(fma.f64 x x y)
(*.f64 x x)
x
y

localize17.0ms (0.7%)

Memory
-8.5MiB live, 30.5MiB allocated
Localize:

Found 3 expressions of interest:

NewMetricScoreProgram
accuracy0
(+.f64 (*.f64 x x) y)
accuracy0
(*.f64 x x)
accuracy0.00390625
(+.f64 (+.f64 (*.f64 x x) y) y)
Samples
13.0ms256×0valid
Compiler

Compiled 19 to 7 computations (63.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 7.0ms
ival-mult: 4.0ms (53.5% of total)
ival-add: 3.0ms (40.1% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series4.0ms (0.2%)

Memory
8.8MiB live, 8.8MiB allocated
Counts
3 → 60
Calls
Call 1
Inputs
#s(alt (+.f64 (*.f64 x x) y) (patch (+.f64 (*.f64 x x) y) #<representation binary64>) () ())
#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())
#s(alt (+.f64 (+.f64 (*.f64 x x) y) y) (patch (+.f64 (+.f64 (*.f64 x x) y) y) #<representation binary64>) () ())
Outputs
#s(alt (pow x 2) (taylor 0 y) (#s(alt (+.f64 (*.f64 x x) y) (patch (+.f64 (*.f64 x x) y) #<representation binary64>) () ())) ())
#s(alt (+ y (pow x 2)) (taylor 0 y) (#s(alt (+.f64 (*.f64 x x) y) (patch (+.f64 (*.f64 x x) y) #<representation binary64>) () ())) ())
#s(alt (+ y (pow x 2)) (taylor 0 y) (#s(alt (+.f64 (*.f64 x x) y) (patch (+.f64 (*.f64 x x) y) #<representation binary64>) () ())) ())
#s(alt (+ y (pow x 2)) (taylor 0 y) (#s(alt (+.f64 (*.f64 x x) y) (patch (+.f64 (*.f64 x x) y) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 y) (#s(alt (+.f64 (+.f64 (*.f64 x x) y) y) (patch (+.f64 (+.f64 (*.f64 x x) y) y) #<representation binary64>) () ())) ())
#s(alt (+ (* 2 y) (pow x 2)) (taylor 0 y) (#s(alt (+.f64 (+.f64 (*.f64 x x) y) y) (patch (+.f64 (+.f64 (*.f64 x x) y) y) #<representation binary64>) () ())) ())
#s(alt (+ (* 2 y) (pow x 2)) (taylor 0 y) (#s(alt (+.f64 (+.f64 (*.f64 x x) y) y) (patch (+.f64 (+.f64 (*.f64 x x) y) y) #<representation binary64>) () ())) ())
#s(alt (+ (* 2 y) (pow x 2)) (taylor 0 y) (#s(alt (+.f64 (+.f64 (*.f64 x x) y) y) (patch (+.f64 (+.f64 (*.f64 x x) y) y) #<representation binary64>) () ())) ())
#s(alt y (taylor inf y) (#s(alt (+.f64 (*.f64 x x) y) (patch (+.f64 (*.f64 x x) y) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 (/ (pow x 2) y))) (taylor inf y) (#s(alt (+.f64 (*.f64 x x) y) (patch (+.f64 (*.f64 x x) y) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 (/ (pow x 2) y))) (taylor inf y) (#s(alt (+.f64 (*.f64 x x) y) (patch (+.f64 (*.f64 x x) y) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 (/ (pow x 2) y))) (taylor inf y) (#s(alt (+.f64 (*.f64 x x) y) (patch (+.f64 (*.f64 x x) y) #<representation binary64>) () ())) ())
#s(alt (* 2 y) (taylor inf y) (#s(alt (+.f64 (+.f64 (*.f64 x x) y) y) (patch (+.f64 (+.f64 (*.f64 x x) y) y) #<representation binary64>) () ())) ())
#s(alt (* y (+ 2 (/ (pow x 2) y))) (taylor inf y) (#s(alt (+.f64 (+.f64 (*.f64 x x) y) y) (patch (+.f64 (+.f64 (*.f64 x x) y) y) #<representation binary64>) () ())) ())
#s(alt (* y (+ 2 (/ (pow x 2) y))) (taylor inf y) (#s(alt (+.f64 (+.f64 (*.f64 x x) y) y) (patch (+.f64 (+.f64 (*.f64 x x) y) y) #<representation binary64>) () ())) ())
#s(alt (* y (+ 2 (/ (pow x 2) y))) (taylor inf y) (#s(alt (+.f64 (+.f64 (*.f64 x x) y) y) (patch (+.f64 (+.f64 (*.f64 x x) y) y) #<representation binary64>) () ())) ())
#s(alt y (taylor -inf y) (#s(alt (+.f64 (*.f64 x x) y) (patch (+.f64 (*.f64 x x) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (- (* -1 (/ (pow x 2) y)) 1))) (taylor -inf y) (#s(alt (+.f64 (*.f64 x x) y) (patch (+.f64 (*.f64 x x) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (- (* -1 (/ (pow x 2) y)) 1))) (taylor -inf y) (#s(alt (+.f64 (*.f64 x x) y) (patch (+.f64 (*.f64 x x) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (- (* -1 (/ (pow x 2) y)) 1))) (taylor -inf y) (#s(alt (+.f64 (*.f64 x x) y) (patch (+.f64 (*.f64 x x) y) #<representation binary64>) () ())) ())
#s(alt (* 2 y) (taylor -inf y) (#s(alt (+.f64 (+.f64 (*.f64 x x) y) y) (patch (+.f64 (+.f64 (*.f64 x x) y) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (- (* -1 (/ (pow x 2) y)) 2))) (taylor -inf y) (#s(alt (+.f64 (+.f64 (*.f64 x x) y) y) (patch (+.f64 (+.f64 (*.f64 x x) y) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (- (* -1 (/ (pow x 2) y)) 2))) (taylor -inf y) (#s(alt (+.f64 (+.f64 (*.f64 x x) y) y) (patch (+.f64 (+.f64 (*.f64 x x) y) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (- (* -1 (/ (pow x 2) y)) 2))) (taylor -inf y) (#s(alt (+.f64 (+.f64 (*.f64 x x) y) y) (patch (+.f64 (+.f64 (*.f64 x x) y) y) #<representation binary64>) () ())) ())
#s(alt y (taylor 0 x) (#s(alt (+.f64 (*.f64 x x) y) (patch (+.f64 (*.f64 x x) y) #<representation binary64>) () ())) ())
#s(alt (+ y (pow x 2)) (taylor 0 x) (#s(alt (+.f64 (*.f64 x x) y) (patch (+.f64 (*.f64 x x) y) #<representation binary64>) () ())) ())
#s(alt (+ y (pow x 2)) (taylor 0 x) (#s(alt (+.f64 (*.f64 x x) y) (patch (+.f64 (*.f64 x x) y) #<representation binary64>) () ())) ())
#s(alt (+ y (pow x 2)) (taylor 0 x) (#s(alt (+.f64 (*.f64 x x) y) (patch (+.f64 (*.f64 x x) y) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ())
#s(alt (* 2 y) (taylor 0 x) (#s(alt (+.f64 (+.f64 (*.f64 x x) y) y) (patch (+.f64 (+.f64 (*.f64 x x) y) y) #<representation binary64>) () ())) ())
#s(alt (+ (* 2 y) (pow x 2)) (taylor 0 x) (#s(alt (+.f64 (+.f64 (*.f64 x x) y) y) (patch (+.f64 (+.f64 (*.f64 x x) y) y) #<representation binary64>) () ())) ())
#s(alt (+ (* 2 y) (pow x 2)) (taylor 0 x) (#s(alt (+.f64 (+.f64 (*.f64 x x) y) y) (patch (+.f64 (+.f64 (*.f64 x x) y) y) #<representation binary64>) () ())) ())
#s(alt (+ (* 2 y) (pow x 2)) (taylor 0 x) (#s(alt (+.f64 (+.f64 (*.f64 x x) y) y) (patch (+.f64 (+.f64 (*.f64 x x) y) y) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor inf x) (#s(alt (+.f64 (*.f64 x x) y) (patch (+.f64 (*.f64 x x) y) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (/ y (pow x 2)))) (taylor inf x) (#s(alt (+.f64 (*.f64 x x) y) (patch (+.f64 (*.f64 x x) y) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (/ y (pow x 2)))) (taylor inf x) (#s(alt (+.f64 (*.f64 x x) y) (patch (+.f64 (*.f64 x x) y) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (/ y (pow x 2)))) (taylor inf x) (#s(alt (+.f64 (*.f64 x x) y) (patch (+.f64 (*.f64 x x) y) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor inf x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor inf x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor inf x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor inf x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor inf x) (#s(alt (+.f64 (+.f64 (*.f64 x x) y) y) (patch (+.f64 (+.f64 (*.f64 x x) y) y) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (* 2 (/ y (pow x 2))))) (taylor inf x) (#s(alt (+.f64 (+.f64 (*.f64 x x) y) y) (patch (+.f64 (+.f64 (*.f64 x x) y) y) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (* 2 (/ y (pow x 2))))) (taylor inf x) (#s(alt (+.f64 (+.f64 (*.f64 x x) y) y) (patch (+.f64 (+.f64 (*.f64 x x) y) y) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (* 2 (/ y (pow x 2))))) (taylor inf x) (#s(alt (+.f64 (+.f64 (*.f64 x x) y) y) (patch (+.f64 (+.f64 (*.f64 x x) y) y) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (+.f64 (*.f64 x x) y) (patch (+.f64 (*.f64 x x) y) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (/ y (pow x 2)))) (taylor -inf x) (#s(alt (+.f64 (*.f64 x x) y) (patch (+.f64 (*.f64 x x) y) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (/ y (pow x 2)))) (taylor -inf x) (#s(alt (+.f64 (*.f64 x x) y) (patch (+.f64 (*.f64 x x) y) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (/ y (pow x 2)))) (taylor -inf x) (#s(alt (+.f64 (*.f64 x x) y) (patch (+.f64 (*.f64 x x) y) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (+.f64 (+.f64 (*.f64 x x) y) y) (patch (+.f64 (+.f64 (*.f64 x x) y) y) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (* 2 (/ y (pow x 2))))) (taylor -inf x) (#s(alt (+.f64 (+.f64 (*.f64 x x) y) y) (patch (+.f64 (+.f64 (*.f64 x x) y) y) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (* 2 (/ y (pow x 2))))) (taylor -inf x) (#s(alt (+.f64 (+.f64 (*.f64 x x) y) y) (patch (+.f64 (+.f64 (*.f64 x x) y) y) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (* 2 (/ y (pow x 2))))) (taylor -inf x) (#s(alt (+.f64 (+.f64 (*.f64 x x) y) y) (patch (+.f64 (+.f64 (*.f64 x x) y) y) #<representation binary64>) () ())) ())
Calls

6 calls:

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

simplify96.0ms (3.7%)

Memory
-14.1MiB live, 143.6MiB allocated
Algorithm
1×egg-herbie
Rules
4 690×lower-fma.f64
4 690×lower-fma.f32
3 340×lower-*.f64
3 340×lower-*.f32
1 326×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
027282
180282
2193282
3649282
41930282
53616282
66722282
08178246
Stop Event
1×iter limit
1×node limit
Counts
60 → 57
Calls
Call 1
Inputs
(pow x 2)
(+ y (pow x 2))
(+ y (pow x 2))
(+ y (pow x 2))
(pow x 2)
(+ (* 2 y) (pow x 2))
(+ (* 2 y) (pow x 2))
(+ (* 2 y) (pow x 2))
y
(* y (+ 1 (/ (pow x 2) y)))
(* y (+ 1 (/ (pow x 2) y)))
(* y (+ 1 (/ (pow x 2) y)))
(* 2 y)
(* y (+ 2 (/ (pow x 2) y)))
(* y (+ 2 (/ (pow x 2) y)))
(* y (+ 2 (/ (pow x 2) y)))
y
(* -1 (* y (- (* -1 (/ (pow x 2) y)) 1)))
(* -1 (* y (- (* -1 (/ (pow x 2) y)) 1)))
(* -1 (* y (- (* -1 (/ (pow x 2) y)) 1)))
(* 2 y)
(* -1 (* y (- (* -1 (/ (pow x 2) y)) 2)))
(* -1 (* y (- (* -1 (/ (pow x 2) y)) 2)))
(* -1 (* y (- (* -1 (/ (pow x 2) y)) 2)))
y
(+ y (pow x 2))
(+ y (pow x 2))
(+ y (pow x 2))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(* 2 y)
(+ (* 2 y) (pow x 2))
(+ (* 2 y) (pow x 2))
(+ (* 2 y) (pow x 2))
(pow x 2)
(* (pow x 2) (+ 1 (/ y (pow x 2))))
(* (pow x 2) (+ 1 (/ y (pow x 2))))
(* (pow x 2) (+ 1 (/ y (pow x 2))))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(* (pow x 2) (+ 1 (* 2 (/ y (pow x 2)))))
(* (pow x 2) (+ 1 (* 2 (/ y (pow x 2)))))
(* (pow x 2) (+ 1 (* 2 (/ y (pow x 2)))))
(pow x 2)
(* (pow x 2) (+ 1 (/ y (pow x 2))))
(* (pow x 2) (+ 1 (/ y (pow x 2))))
(* (pow x 2) (+ 1 (/ y (pow x 2))))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(* (pow x 2) (+ 1 (* 2 (/ y (pow x 2)))))
(* (pow x 2) (+ 1 (* 2 (/ y (pow x 2)))))
(* (pow x 2) (+ 1 (* 2 (/ y (pow x 2)))))
Outputs
(pow x 2)
(*.f64 x x)
(+ y (pow x 2))
(fma.f64 x x y)
(+ y (pow x 2))
(fma.f64 x x y)
(+ y (pow x 2))
(fma.f64 x x y)
(pow x 2)
(*.f64 x x)
(+ (* 2 y) (pow x 2))
(fma.f64 y #s(literal 2 binary64) (*.f64 x x))
(+ (* 2 y) (pow x 2))
(fma.f64 y #s(literal 2 binary64) (*.f64 x x))
(+ (* 2 y) (pow x 2))
(fma.f64 y #s(literal 2 binary64) (*.f64 x x))
y
(* y (+ 1 (/ (pow x 2) y)))
(fma.f64 x x y)
(* y (+ 1 (/ (pow x 2) y)))
(fma.f64 x x y)
(* y (+ 1 (/ (pow x 2) y)))
(fma.f64 x x y)
(* 2 y)
(*.f64 y #s(literal 2 binary64))
(* y (+ 2 (/ (pow x 2) y)))
(fma.f64 y #s(literal 2 binary64) (*.f64 x x))
(* y (+ 2 (/ (pow x 2) y)))
(fma.f64 y #s(literal 2 binary64) (*.f64 x x))
(* y (+ 2 (/ (pow x 2) y)))
(fma.f64 y #s(literal 2 binary64) (*.f64 x x))
y
(* -1 (* y (- (* -1 (/ (pow x 2) y)) 1)))
(fma.f64 x x y)
(* -1 (* y (- (* -1 (/ (pow x 2) y)) 1)))
(fma.f64 x x y)
(* -1 (* y (- (* -1 (/ (pow x 2) y)) 1)))
(fma.f64 x x y)
(* 2 y)
(*.f64 y #s(literal 2 binary64))
(* -1 (* y (- (* -1 (/ (pow x 2) y)) 2)))
(fma.f64 y #s(literal 2 binary64) (*.f64 x x))
(* -1 (* y (- (* -1 (/ (pow x 2) y)) 2)))
(fma.f64 y #s(literal 2 binary64) (*.f64 x x))
(* -1 (* y (- (* -1 (/ (pow x 2) y)) 2)))
(fma.f64 y #s(literal 2 binary64) (*.f64 x x))
y
(+ y (pow x 2))
(fma.f64 x x y)
(+ y (pow x 2))
(fma.f64 x x y)
(+ y (pow x 2))
(fma.f64 x x y)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(* 2 y)
(*.f64 y #s(literal 2 binary64))
(+ (* 2 y) (pow x 2))
(fma.f64 y #s(literal 2 binary64) (*.f64 x x))
(+ (* 2 y) (pow x 2))
(fma.f64 y #s(literal 2 binary64) (*.f64 x x))
(+ (* 2 y) (pow x 2))
(fma.f64 y #s(literal 2 binary64) (*.f64 x x))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (/ y (pow x 2))))
(fma.f64 x x y)
(* (pow x 2) (+ 1 (/ y (pow x 2))))
(fma.f64 x x y)
(* (pow x 2) (+ 1 (/ y (pow x 2))))
(fma.f64 x x y)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* 2 (/ y (pow x 2)))))
(fma.f64 y #s(literal 2 binary64) (*.f64 x x))
(* (pow x 2) (+ 1 (* 2 (/ y (pow x 2)))))
(fma.f64 y #s(literal 2 binary64) (*.f64 x x))
(* (pow x 2) (+ 1 (* 2 (/ y (pow x 2)))))
(fma.f64 y #s(literal 2 binary64) (*.f64 x x))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (/ y (pow x 2))))
(fma.f64 x x y)
(* (pow x 2) (+ 1 (/ y (pow x 2))))
(fma.f64 x x y)
(* (pow x 2) (+ 1 (/ y (pow x 2))))
(fma.f64 x x y)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* 2 (/ y (pow x 2)))))
(fma.f64 y #s(literal 2 binary64) (*.f64 x x))
(* (pow x 2) (+ 1 (* 2 (/ y (pow x 2)))))
(fma.f64 y #s(literal 2 binary64) (*.f64 x x))
(* (pow x 2) (+ 1 (* 2 (/ y (pow x 2)))))
(fma.f64 y #s(literal 2 binary64) (*.f64 x x))

rewrite168.0ms (6.5%)

Memory
9.5MiB live, 326.5MiB allocated
Rules
7 306×lower-fma.f64
7 306×lower-fma.f32
4 782×lower-*.f32
4 780×lower-*.f64
2 300×lower-/.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0515
0815
13715
231615
3498715
0810313
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
3 → 251
Calls
Call 1
Inputs
(+.f64 (*.f64 x x) y)
(*.f64 x x)
(+.f64 (+.f64 (*.f64 x x) y) y)
Outputs
(*.f64 (pow.f64 (/.f64 (-.f64 (*.f64 x x) y) (-.f64 (pow.f64 x #s(literal 8 binary64)) (pow.f64 y #s(literal 4 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 y y (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (-.f64 (*.f64 x x) y) (-.f64 (pow.f64 x #s(literal 12 binary64)) (pow.f64 y #s(literal 6 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 (*.f64 y y) (fma.f64 y y (pow.f64 x #s(literal 4 binary64))) (pow.f64 x #s(literal 8 binary64))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (fma.f64 (-.f64 y (*.f64 x x)) y (pow.f64 x #s(literal 4 binary64))) (-.f64 (pow.f64 x #s(literal 12 binary64)) (pow.f64 y #s(literal 6 binary64)))) #s(literal -1 binary64)) (pow.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (fma.f64 (-.f64 y (*.f64 x x)) y (pow.f64 x #s(literal 4 binary64))) (+.f64 (pow.f64 x #s(literal 18 binary64)) (pow.f64 y #s(literal 9 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))) (pow.f64 x #s(literal 12 binary64))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (fma.f64 (neg.f64 y) y (pow.f64 x #s(literal 4 binary64))) (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64)))) #s(literal 1 binary64)) (pow.f64 (fma.f64 (fma.f64 x x y) y (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64))) (-.f64 (pow.f64 x #s(literal 8 binary64)) (pow.f64 (*.f64 (-.f64 y (*.f64 x x)) y) #s(literal 2 binary64)))) #s(literal 1 binary64)) (pow.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (-.f64 y (*.f64 x x)) y)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (-.f64 y (*.f64 x x)) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 12 binary64)))) #s(literal 1 binary64)) (pow.f64 (fma.f64 (*.f64 (-.f64 y (*.f64 x x)) y) (-.f64 (*.f64 (-.f64 y (*.f64 x x)) y) (pow.f64 x #s(literal 4 binary64))) (pow.f64 x #s(literal 8 binary64))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 (fma.f64 (neg.f64 y) y (pow.f64 x #s(literal 4 binary64))) (fma.f64 (neg.f64 y) y (pow.f64 x #s(literal 4 binary64)))) #s(literal 1 binary64)) (fma.f64 x x y))
(*.f64 (pow.f64 (-.f64 (*.f64 y y) (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)) (pow.f64 (pow.f64 (-.f64 y (*.f64 x x)) #s(literal -1 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (neg.f64 (fma.f64 (neg.f64 y) y (pow.f64 x #s(literal 4 binary64)))) #s(literal 1 binary64)) (pow.f64 (pow.f64 (neg.f64 (-.f64 (*.f64 x x) y)) #s(literal -1 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64)))) #s(literal 1 binary64)) (pow.f64 (pow.f64 (neg.f64 (fma.f64 (-.f64 y (*.f64 x x)) y (pow.f64 x #s(literal 4 binary64)))) #s(literal -1 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (pow.f64 (-.f64 (*.f64 x x) y) #s(literal -1 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 (neg.f64 y) y (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (fma.f64 (neg.f64 y) y (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)) (pow.f64 (pow.f64 (-.f64 (*.f64 x x) y) #s(literal -1 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (fma.f64 (-.f64 y (*.f64 x x)) y (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)) (pow.f64 (/.f64 (fma.f64 x x y) (fma.f64 (-.f64 y (*.f64 x x)) y (pow.f64 x #s(literal 4 binary64)))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (fma.f64 (-.f64 y (*.f64 x x)) y (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)) (pow.f64 (*.f64 (fma.f64 x x y) (pow.f64 (fma.f64 (-.f64 y (*.f64 x x)) y (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (pow.f64 (fma.f64 (-.f64 y (*.f64 x x)) y (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64)) #s(literal 1 binary64)) (pow.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64))) #s(literal 1 binary64)) (pow.f64 (pow.f64 (fma.f64 (-.f64 y (*.f64 x x)) y (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64)) #s(literal 1 binary64)))
(*.f64 (/.f64 (fma.f64 (neg.f64 y) y (pow.f64 x #s(literal 4 binary64))) (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 (fma.f64 x x y) y (pow.f64 x #s(literal 4 binary64))))
(*.f64 (/.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64))) (-.f64 (pow.f64 x #s(literal 8 binary64)) (pow.f64 (*.f64 (-.f64 y (*.f64 x x)) y) #s(literal 2 binary64)))) (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (-.f64 y (*.f64 x x)) y)))
(*.f64 (/.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (-.f64 y (*.f64 x x)) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 12 binary64)))) (fma.f64 (*.f64 (-.f64 y (*.f64 x x)) y) (-.f64 (*.f64 (-.f64 y (*.f64 x x)) y) (pow.f64 x #s(literal 4 binary64))) (pow.f64 x #s(literal 8 binary64))))
(*.f64 (/.f64 (fma.f64 (neg.f64 y) y (pow.f64 x #s(literal 4 binary64))) (fma.f64 (neg.f64 y) y (pow.f64 x #s(literal 4 binary64)))) (fma.f64 x x y))
(*.f64 (-.f64 (*.f64 y y) (pow.f64 x #s(literal 4 binary64))) (pow.f64 (-.f64 y (*.f64 x x)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (-.f64 (*.f64 x x) y) #s(literal -1 binary64)) (pow.f64 (pow.f64 (fma.f64 (neg.f64 y) y (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (-.f64 (*.f64 x x) y) #s(literal -1 binary64)) (fma.f64 (neg.f64 y) y (pow.f64 x #s(literal 4 binary64))))
(*.f64 (pow.f64 (fma.f64 (-.f64 y (*.f64 x x)) y (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64)) (pow.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (fma.f64 (-.f64 y (*.f64 x x)) y (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64)) (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64))))
(*.f64 #s(literal 1 binary64) (fma.f64 x x y))
(*.f64 (neg.f64 (fma.f64 (neg.f64 y) y (pow.f64 x #s(literal 4 binary64)))) (pow.f64 (neg.f64 (-.f64 (*.f64 x x) y)) #s(literal -1 binary64)))
(*.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64)))) (pow.f64 (neg.f64 (fma.f64 (-.f64 y (*.f64 x x)) y (pow.f64 x #s(literal 4 binary64)))) #s(literal -1 binary64)))
(*.f64 (fma.f64 (neg.f64 y) y (pow.f64 x #s(literal 4 binary64))) (pow.f64 (-.f64 (*.f64 x x) y) #s(literal -1 binary64)))
(*.f64 (fma.f64 (-.f64 y (*.f64 x x)) y (pow.f64 x #s(literal 4 binary64))) (/.f64 (fma.f64 x x y) (fma.f64 (-.f64 y (*.f64 x x)) y (pow.f64 x #s(literal 4 binary64)))))
(*.f64 (fma.f64 (-.f64 y (*.f64 x x)) y (pow.f64 x #s(literal 4 binary64))) (*.f64 (fma.f64 x x y) (pow.f64 (fma.f64 (-.f64 y (*.f64 x x)) y (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64))))
(*.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64))) (pow.f64 (fma.f64 (-.f64 y (*.f64 x x)) y (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64)))
(*.f64 (fma.f64 x x y) (pow.f64 (/.f64 (-.f64 (*.f64 x x) y) (-.f64 (*.f64 x x) y)) #s(literal 1 binary64)))
(*.f64 (fma.f64 x x y) (pow.f64 (*.f64 (-.f64 (*.f64 x x) y) (pow.f64 (-.f64 (*.f64 x x) y) #s(literal -1 binary64))) #s(literal 1 binary64)))
(*.f64 (fma.f64 x x y) (/.f64 (-.f64 (*.f64 x x) y) (-.f64 (*.f64 x x) y)))
(*.f64 (fma.f64 x x y) (*.f64 (-.f64 (*.f64 x x) y) (pow.f64 (-.f64 (*.f64 x x) y) #s(literal -1 binary64))))
(pow.f64 (/.f64 (-.f64 y (*.f64 x x)) (-.f64 (*.f64 y y) (pow.f64 x #s(literal 4 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (pow.f64 (fma.f64 x x y) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (pow.f64 (fma.f64 x x y) #s(literal -1 binary64)) #s(literal -1 binary64))
(pow.f64 (fma.f64 x x y) #s(literal 1 binary64))
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 8 binary64)) (pow.f64 y #s(literal 4 binary64))) (pow.f64 (-.f64 (*.f64 x x) y) #s(literal -1 binary64))) (fma.f64 y y (pow.f64 x #s(literal 4 binary64))))
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 12 binary64)) (pow.f64 y #s(literal 6 binary64))) (pow.f64 (-.f64 (*.f64 x x) y) #s(literal -1 binary64))) (fma.f64 (*.f64 y y) (fma.f64 y y (pow.f64 x #s(literal 4 binary64))) (pow.f64 x #s(literal 8 binary64))))
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 12 binary64)) (pow.f64 y #s(literal 6 binary64))) (pow.f64 (fma.f64 (-.f64 y (*.f64 x x)) y (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64))) (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64))))
(/.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 18 binary64)) (pow.f64 y #s(literal 9 binary64))) (pow.f64 (fma.f64 (-.f64 y (*.f64 x x)) y (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64))) (fma.f64 (pow.f64 y #s(literal 3 binary64)) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))) (pow.f64 x #s(literal 12 binary64))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 x x) y)) #s(literal 2 binary64)) (pow.f64 (*.f64 y (/.f64 y (-.f64 (*.f64 x x) y))) #s(literal 2 binary64))) (+.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 x x) y)) (*.f64 y (/.f64 y (-.f64 (*.f64 x x) y)))))
(/.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 12 binary64)) (pow.f64 (-.f64 (*.f64 x x) y) #s(literal -3 binary64))) (*.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 (-.f64 (*.f64 x x) y) #s(literal -3 binary64)))) (+.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 x x) y)) #s(literal 2 binary64)) (+.f64 (pow.f64 (*.f64 y (/.f64 y (-.f64 (*.f64 x x) y))) #s(literal 2 binary64)) (*.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 x x) y)) (*.f64 y (/.f64 y (-.f64 (*.f64 x x) y)))))))
(/.f64 (neg.f64 (-.f64 (*.f64 y y) (pow.f64 x #s(literal 4 binary64)))) (neg.f64 (-.f64 y (*.f64 x x))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (neg.f64 y) y (pow.f64 x #s(literal 4 binary64))))) (neg.f64 (neg.f64 (-.f64 (*.f64 x x) y))))
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (-.f64 y (*.f64 x x)) y (pow.f64 x #s(literal 4 binary64))))))
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 8 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal 1 binary64)) (*.f64 (fma.f64 y y (pow.f64 x #s(literal 4 binary64))) (-.f64 (*.f64 x x) y)))
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 12 binary64)) (pow.f64 y #s(literal 6 binary64))) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 y y) (fma.f64 y y (pow.f64 x #s(literal 4 binary64))) (pow.f64 x #s(literal 8 binary64))) (-.f64 (*.f64 x x) y)))
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 12 binary64)) (pow.f64 y #s(literal 6 binary64))) #s(literal 1 binary64)) (*.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 (-.f64 y (*.f64 x x)) y (pow.f64 x #s(literal 4 binary64)))))
(/.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 18 binary64)) (pow.f64 y #s(literal 9 binary64))) #s(literal 1 binary64)) (*.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))) (pow.f64 x #s(literal 12 binary64))) (fma.f64 (-.f64 y (*.f64 x x)) y (pow.f64 x #s(literal 4 binary64)))))
(/.f64 (*.f64 (fma.f64 (neg.f64 y) y (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)) (-.f64 (*.f64 x x) y))
(/.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64))) #s(literal 1 binary64)) (fma.f64 (-.f64 y (*.f64 x x)) y (pow.f64 x #s(literal 4 binary64))))
(/.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 x x) y)) (*.f64 (-.f64 (*.f64 x x) y) (*.f64 y y))) (pow.f64 (-.f64 (*.f64 x x) y) #s(literal 2 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (fma.f64 x x y) #s(literal -1 binary64))))
(/.f64 (-.f64 (pow.f64 x #s(literal 8 binary64)) (pow.f64 y #s(literal 4 binary64))) (*.f64 (-.f64 (*.f64 x x) y) (fma.f64 y y (pow.f64 x #s(literal 4 binary64)))))
(/.f64 (-.f64 (*.f64 y y) (pow.f64 x #s(literal 4 binary64))) (-.f64 y (*.f64 x x)))
(/.f64 (-.f64 (pow.f64 x #s(literal 12 binary64)) (pow.f64 y #s(literal 6 binary64))) (*.f64 (fma.f64 (-.f64 y (*.f64 x x)) y (pow.f64 x #s(literal 4 binary64))) (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64)))))
(/.f64 (-.f64 (pow.f64 x #s(literal 12 binary64)) (pow.f64 y #s(literal 6 binary64))) (*.f64 (-.f64 (*.f64 x x) y) (fma.f64 (*.f64 y y) (fma.f64 y y (pow.f64 x #s(literal 4 binary64))) (pow.f64 x #s(literal 8 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 y (*.f64 x x)) (-.f64 (*.f64 y y) (pow.f64 x #s(literal 4 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (fma.f64 x x y) #s(literal -1 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 x x y) #s(literal -1 binary64)))
(/.f64 (+.f64 (pow.f64 x #s(literal 18 binary64)) (pow.f64 y #s(literal 9 binary64))) (*.f64 (fma.f64 (-.f64 y (*.f64 x x)) y (pow.f64 x #s(literal 4 binary64))) (fma.f64 (pow.f64 y #s(literal 3 binary64)) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))) (pow.f64 x #s(literal 12 binary64)))))
(/.f64 (neg.f64 (fma.f64 (neg.f64 y) y (pow.f64 x #s(literal 4 binary64)))) (neg.f64 (-.f64 (*.f64 x x) y)))
(/.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (fma.f64 (-.f64 y (*.f64 x x)) y (pow.f64 x #s(literal 4 binary64)))))
(/.f64 (fma.f64 (neg.f64 y) y (pow.f64 x #s(literal 4 binary64))) (-.f64 (*.f64 x x) y))
(/.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 (-.f64 y (*.f64 x x)) y (pow.f64 x #s(literal 4 binary64))))
(neg.f64 (neg.f64 (fma.f64 x x y)))
(fma.f64 (pow.f64 (exp.f64 (log.f64 x)) #s(literal 1 binary64)) (pow.f64 (exp.f64 (log.f64 x)) #s(literal 1 binary64)) y)
(fma.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 (fma.f64 x x y) y (pow.f64 x #s(literal 4 binary64))) (neg.f64 (*.f64 y (/.f64 y (-.f64 (*.f64 x x) y)))))
(fma.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (neg.f64 y) y (pow.f64 x #s(literal 4 binary64)))) (fma.f64 x x y) (neg.f64 (*.f64 y (/.f64 y (-.f64 (*.f64 x x) y)))))
(fma.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)) y)
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (/.f64 x (-.f64 (*.f64 x x) y)) (neg.f64 (*.f64 y (/.f64 y (-.f64 (*.f64 x x) y)))))
(fma.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (-.f64 (*.f64 x x) y) #s(literal -1 binary64)) (neg.f64 (*.f64 y (/.f64 y (-.f64 (*.f64 x x) y)))))
(fma.f64 (*.f64 x x) (/.f64 (*.f64 x x) (-.f64 (*.f64 x x) y)) (neg.f64 (*.f64 y (/.f64 y (-.f64 (*.f64 x x) y)))))
(fma.f64 x (/.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (*.f64 x x) y)) (neg.f64 (*.f64 y (/.f64 y (-.f64 (*.f64 x x) y)))))
(fma.f64 x x y)
(-.f64 (/.f64 (*.f64 y y) (-.f64 y (*.f64 x x))) (/.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 y (*.f64 x x))))
(-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 x x) y)) (*.f64 y (/.f64 y (-.f64 (*.f64 x x) y))))
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(fma.f64 (pow.f64 (/.f64 (-.f64 (*.f64 x x) y) (-.f64 (pow.f64 x #s(literal 8 binary64)) (pow.f64 y #s(literal 4 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 y y (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64)) y)
(fma.f64 (pow.f64 (/.f64 (-.f64 (*.f64 x x) y) (-.f64 (pow.f64 x #s(literal 12 binary64)) (pow.f64 y #s(literal 6 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 (*.f64 y y) (fma.f64 y y (pow.f64 x #s(literal 4 binary64))) (pow.f64 x #s(literal 8 binary64))) #s(literal -1 binary64)) y)
(fma.f64 (pow.f64 (/.f64 (fma.f64 (-.f64 y (*.f64 x x)) y (pow.f64 x #s(literal 4 binary64))) (-.f64 (pow.f64 x #s(literal 12 binary64)) (pow.f64 y #s(literal 6 binary64)))) #s(literal -1 binary64)) (pow.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64))) #s(literal -1 binary64)) y)
(fma.f64 (pow.f64 (/.f64 (fma.f64 (-.f64 y (*.f64 x x)) y (pow.f64 x #s(literal 4 binary64))) (+.f64 (pow.f64 x #s(literal 18 binary64)) (pow.f64 y #s(literal 9 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))) (pow.f64 x #s(literal 12 binary64))) #s(literal -1 binary64)) y)
(fma.f64 (pow.f64 (exp.f64 (log.f64 x)) #s(literal 1 binary64)) (pow.f64 (exp.f64 (log.f64 x)) #s(literal 1 binary64)) (*.f64 #s(literal 2 binary64) y))
(fma.f64 (pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 2 binary64)) #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3/2 binary64)) (*.f64 x x))
(fma.f64 (pow.f64 #s(literal 8 binary64) #s(literal 3/2 binary64)) (pow.f64 y #s(literal 9/2 binary64)) (*.f64 x x))
(fma.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64))) #s(literal 3/2 binary64)) (pow.f64 (pow.f64 (fma.f64 y y #s(literal 0 binary64)) #s(literal -1 binary64)) #s(literal 3/2 binary64)) (*.f64 x x))
(fma.f64 (pow.f64 #s(literal 4 binary64) #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3 binary64)) (*.f64 x x))
(fma.f64 (pow.f64 #s(literal 2 binary64) #s(literal 3/2 binary64)) (pow.f64 (*.f64 y (*.f64 #s(literal 2 binary64) y)) #s(literal 3/2 binary64)) (*.f64 x x))
(fma.f64 (pow.f64 #s(literal 2 binary64) #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3/2 binary64)) (*.f64 x x))
(fma.f64 (pow.f64 (/.f64 (fma.f64 (neg.f64 y) y (pow.f64 x #s(literal 4 binary64))) (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64)))) #s(literal 1 binary64)) (pow.f64 (fma.f64 (fma.f64 x x y) y (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)) y)
(fma.f64 (pow.f64 (/.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64))) (-.f64 (pow.f64 x #s(literal 8 binary64)) (pow.f64 (*.f64 (-.f64 y (*.f64 x x)) y) #s(literal 2 binary64)))) #s(literal 1 binary64)) (pow.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (-.f64 y (*.f64 x x)) y)) #s(literal 1 binary64)) y)
(fma.f64 (pow.f64 (/.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (-.f64 y (*.f64 x x)) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 12 binary64)))) #s(literal 1 binary64)) (pow.f64 (fma.f64 (*.f64 (-.f64 y (*.f64 x x)) y) (-.f64 (*.f64 (-.f64 y (*.f64 x x)) y) (pow.f64 x #s(literal 4 binary64))) (pow.f64 x #s(literal 8 binary64))) #s(literal 1 binary64)) y)
(fma.f64 (pow.f64 (/.f64 (fma.f64 (neg.f64 y) y (pow.f64 x #s(literal 4 binary64))) (fma.f64 (neg.f64 y) y (pow.f64 x #s(literal 4 binary64)))) #s(literal 1 binary64)) (fma.f64 x x y) y)
(fma.f64 (pow.f64 (-.f64 (*.f64 y y) (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)) (pow.f64 (pow.f64 (-.f64 y (*.f64 x x)) #s(literal -1 binary64)) #s(literal 1 binary64)) y)
(fma.f64 (pow.f64 (neg.f64 (fma.f64 (neg.f64 y) y (pow.f64 x #s(literal 4 binary64)))) #s(literal 1 binary64)) (pow.f64 (pow.f64 (neg.f64 (-.f64 (*.f64 x x) y)) #s(literal -1 binary64)) #s(literal 1 binary64)) y)
(fma.f64 (pow.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64)))) #s(literal 1 binary64)) (pow.f64 (pow.f64 (neg.f64 (fma.f64 (-.f64 y (*.f64 x x)) y (pow.f64 x #s(literal 4 binary64)))) #s(literal -1 binary64)) #s(literal 1 binary64)) y)
(fma.f64 (pow.f64 (pow.f64 (-.f64 (*.f64 x x) y) #s(literal -1 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 (neg.f64 y) y (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)) y)
(fma.f64 (pow.f64 (fma.f64 (neg.f64 y) y (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)) (pow.f64 (pow.f64 (-.f64 (*.f64 x x) y) #s(literal -1 binary64)) #s(literal 1 binary64)) y)
(fma.f64 (pow.f64 (fma.f64 (-.f64 y (*.f64 x x)) y (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)) (pow.f64 (/.f64 (fma.f64 x x y) (fma.f64 (-.f64 y (*.f64 x x)) y (pow.f64 x #s(literal 4 binary64)))) #s(literal 1 binary64)) y)
(fma.f64 (pow.f64 (fma.f64 (-.f64 y (*.f64 x x)) y (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)) (pow.f64 (*.f64 (fma.f64 x x y) (pow.f64 (fma.f64 (-.f64 y (*.f64 x x)) y (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64))) #s(literal 1 binary64)) y)
(fma.f64 (pow.f64 (pow.f64 (fma.f64 (-.f64 y (*.f64 x x)) y (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64)) #s(literal 1 binary64)) (pow.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64))) #s(literal 1 binary64)) y)
(fma.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64))) #s(literal 1 binary64)) (pow.f64 (pow.f64 (fma.f64 (-.f64 y (*.f64 x x)) y (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64)) #s(literal 1 binary64)) y)
(fma.f64 (/.f64 (fma.f64 (neg.f64 y) y (pow.f64 x #s(literal 4 binary64))) (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 (fma.f64 x x y) y (pow.f64 x #s(literal 4 binary64))) y)
(fma.f64 (/.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64))) (-.f64 (pow.f64 x #s(literal 8 binary64)) (pow.f64 (*.f64 (-.f64 y (*.f64 x x)) y) #s(literal 2 binary64)))) (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (-.f64 y (*.f64 x x)) y)) y)
(fma.f64 (/.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (-.f64 y (*.f64 x x)) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 12 binary64)))) (fma.f64 (*.f64 (-.f64 y (*.f64 x x)) y) (-.f64 (*.f64 (-.f64 y (*.f64 x x)) y) (pow.f64 x #s(literal 4 binary64))) (pow.f64 x #s(literal 8 binary64))) y)
(fma.f64 (/.f64 (pow.f64 (fma.f64 x x y) #s(literal 2 binary64)) (-.f64 (pow.f64 (fma.f64 x x y) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 y (fma.f64 #s(literal 2 binary64) y (*.f64 x x)) (pow.f64 (fma.f64 x x y) #s(literal 2 binary64))) (neg.f64 (*.f64 y (/.f64 y (fma.f64 x x #s(literal 0 binary64))))))
(fma.f64 (/.f64 (pow.f64 (fma.f64 x x y) #s(literal 2 binary64)) (fma.f64 (neg.f64 y) y (pow.f64 (fma.f64 x x y) #s(literal 2 binary64)))) (fma.f64 #s(literal 2 binary64) y (*.f64 x x)) (neg.f64 (*.f64 y (/.f64 y (fma.f64 x x #s(literal 0 binary64))))))
(fma.f64 (/.f64 (fma.f64 (neg.f64 y) y (pow.f64 x #s(literal 4 binary64))) (fma.f64 (neg.f64 y) y (pow.f64 x #s(literal 4 binary64)))) (fma.f64 x x y) y)
(fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 2 binary64)) y (*.f64 x x))
(fma.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64))) #s(literal 2 binary64)) (pow.f64 (pow.f64 (fma.f64 y y #s(literal 0 binary64)) #s(literal -1 binary64)) #s(literal 2 binary64)) (*.f64 x x))
(fma.f64 (*.f64 #s(literal 8 binary64) (pow.f64 y #s(literal 9 binary64))) (pow.f64 (pow.f64 (fma.f64 y y #s(literal 0 binary64)) #s(literal -1 binary64)) #s(literal 3 binary64)) (*.f64 x x))
(fma.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)) (*.f64 #s(literal 2 binary64) y))
(fma.f64 #s(literal 8 binary64) (pow.f64 (*.f64 y (*.f64 #s(literal 2 binary64) y)) #s(literal 3 binary64)) (*.f64 x x))
(fma.f64 #s(literal 8 binary64) (pow.f64 y #s(literal 3 binary64)) (*.f64 x x))
(fma.f64 #s(literal 0 binary64) (pow.f64 (pow.f64 #s(literal 0 binary64) #s(literal -1 binary64)) #s(literal 3 binary64)) (*.f64 x x))
(fma.f64 #s(literal 0 binary64) (pow.f64 (pow.f64 #s(literal 0 binary64) #s(literal -1 binary64)) #s(literal 2 binary64)) (*.f64 x x))
(fma.f64 #s(literal 0 binary64) (pow.f64 (pow.f64 #s(literal 0 binary64) #s(literal -1 binary64)) #s(literal 3/2 binary64)) (*.f64 x x))
(fma.f64 #s(literal 0 binary64) (pow.f64 #s(literal 0 binary64) #s(literal -1 binary64)) (*.f64 x x))
(fma.f64 (pow.f64 y #s(literal 3/2 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal 3/2 binary64)) (*.f64 x x))
(fma.f64 (-.f64 (*.f64 y y) (pow.f64 x #s(literal 4 binary64))) (pow.f64 (-.f64 y (*.f64 x x)) #s(literal -1 binary64)) y)
(fma.f64 (pow.f64 (-.f64 (*.f64 x x) y) #s(literal -1 binary64)) (pow.f64 (pow.f64 (fma.f64 (neg.f64 y) y (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64)) y)
(fma.f64 (pow.f64 (-.f64 (*.f64 x x) y) #s(literal -1 binary64)) (fma.f64 (neg.f64 y) y (pow.f64 x #s(literal 4 binary64))) y)
(fma.f64 (pow.f64 (fma.f64 (-.f64 y (*.f64 x x)) y (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64)) (pow.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64)) y)
(fma.f64 (pow.f64 (fma.f64 (-.f64 y (*.f64 x x)) y (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64)) (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64))) y)
(fma.f64 #s(literal 1 binary64) (fma.f64 x x y) y)
(fma.f64 (*.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64))) (pow.f64 (fma.f64 y y #s(literal 0 binary64)) #s(literal -1 binary64)) (*.f64 x x))
(fma.f64 (neg.f64 (fma.f64 (neg.f64 y) y (pow.f64 x #s(literal 4 binary64)))) (pow.f64 (neg.f64 (-.f64 (*.f64 x x) y)) #s(literal -1 binary64)) y)
(fma.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64)))) (pow.f64 (neg.f64 (fma.f64 (-.f64 y (*.f64 x x)) y (pow.f64 x #s(literal 4 binary64)))) #s(literal -1 binary64)) y)
(fma.f64 #s(literal 4 binary64) (pow.f64 (*.f64 y (*.f64 #s(literal 2 binary64) y)) #s(literal 2 binary64)) (*.f64 x x))
(fma.f64 #s(literal 4 binary64) (*.f64 y y) (*.f64 x x))
(fma.f64 (*.f64 #s(literal 2 binary64) y) (*.f64 #s(literal 2 binary64) y) (*.f64 x x))
(fma.f64 (fma.f64 (neg.f64 y) y (pow.f64 x #s(literal 4 binary64))) (pow.f64 (-.f64 (*.f64 x x) y) #s(literal -1 binary64)) y)
(fma.f64 (fma.f64 (-.f64 y (*.f64 x x)) y (pow.f64 x #s(literal 4 binary64))) (/.f64 (fma.f64 x x y) (fma.f64 (-.f64 y (*.f64 x x)) y (pow.f64 x #s(literal 4 binary64)))) y)
(fma.f64 (fma.f64 (-.f64 y (*.f64 x x)) y (pow.f64 x #s(literal 4 binary64))) (*.f64 (fma.f64 x x y) (pow.f64 (fma.f64 (-.f64 y (*.f64 x x)) y (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64))) y)
(fma.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64))) (pow.f64 (fma.f64 (-.f64 y (*.f64 x x)) y (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64)) y)
(fma.f64 (*.f64 y y) #s(literal 4 binary64) (*.f64 x x))
(fma.f64 (pow.f64 (fma.f64 x x y) #s(literal 2 binary64)) (pow.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal -1 binary64)) (neg.f64 (*.f64 y (/.f64 y (fma.f64 x x #s(literal 0 binary64))))))
(fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 8 binary64) (*.f64 x x))
(fma.f64 #s(literal 2 binary64) (*.f64 y (*.f64 #s(literal 2 binary64) y)) (*.f64 x x))
(fma.f64 #s(literal 2 binary64) y (*.f64 x x))
(fma.f64 (fma.f64 x x y) (pow.f64 (/.f64 (-.f64 (*.f64 x x) y) (-.f64 (*.f64 x x) y)) #s(literal 1 binary64)) y)
(fma.f64 (fma.f64 x x y) (pow.f64 (*.f64 (-.f64 (*.f64 x x) y) (pow.f64 (-.f64 (*.f64 x x) y) #s(literal -1 binary64))) #s(literal 1 binary64)) y)
(fma.f64 (fma.f64 x x y) (/.f64 (-.f64 (*.f64 x x) y) (-.f64 (*.f64 x x) y)) y)
(fma.f64 (fma.f64 x x y) (/.f64 (fma.f64 x x y) (fma.f64 x x #s(literal 0 binary64))) (neg.f64 (*.f64 y (/.f64 y (fma.f64 x x #s(literal 0 binary64))))))
(fma.f64 (fma.f64 x x y) (*.f64 (-.f64 (*.f64 x x) y) (pow.f64 (-.f64 (*.f64 x x) y) #s(literal -1 binary64))) y)
(fma.f64 y #s(literal 2 binary64) (*.f64 x x))
(fma.f64 x x (*.f64 #s(literal 2 binary64) y))
(-.f64 (+.f64 y (/.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 x x) y))) (*.f64 y (/.f64 y (-.f64 (*.f64 x x) y))))
(-.f64 (/.f64 (*.f64 y y) (*.f64 (neg.f64 x) x)) (/.f64 (pow.f64 (fma.f64 x x y) #s(literal 2 binary64)) (*.f64 (neg.f64 x) x)))
(-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x (*.f64 #s(literal -2 binary64) y))) (/.f64 (*.f64 #s(literal 2 binary64) y) (fma.f64 x x (*.f64 #s(literal -2 binary64) y))))
(-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 x x) y)) (-.f64 (*.f64 y (/.f64 y (-.f64 (*.f64 x x) y))) y))
(-.f64 (/.f64 (pow.f64 (fma.f64 x x y) #s(literal 2 binary64)) (fma.f64 x x #s(literal 0 binary64))) (*.f64 y (/.f64 y (fma.f64 x x #s(literal 0 binary64)))))
(exp.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) y (*.f64 x x)) #s(literal -1 binary64))) #s(literal -1 binary64)))
(+.f64 (/.f64 (pow.f64 (fma.f64 x x y) #s(literal 2 binary64)) (fma.f64 x x #s(literal 0 binary64))) (neg.f64 (*.f64 y (/.f64 y (fma.f64 x x #s(literal 0 binary64))))))
(+.f64 (*.f64 #s(literal 2 binary64) y) (*.f64 x x))
(+.f64 (fma.f64 x x y) y)
(+.f64 y (fma.f64 x x y))
(+.f64 (*.f64 x x) (*.f64 #s(literal 2 binary64) y))

eval51.0ms (2%)

Memory
16.4MiB live, 142.8MiB allocated
Compiler

Compiled 5 874 to 711 computations (87.9% saved)

prune36.0ms (1.4%)

Memory
-23.1MiB live, 98.2MiB allocated
Pruning

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New3035308
Fresh000
Picked101
Done000
Total3045309
Accuracy
100.0%
Counts
309 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶100.0%
(fma.f64 y #s(literal 2 binary64) (*.f64 x x))
▶100.0%
(+.f64 (fma.f64 x x y) y)
▶61.4%
(+.f64 #s(approx (+ (* x x) y) (*.f64 x x)) y)
▶48.3%
#s(approx (+ (+ (* x x) y) y) (*.f64 y #s(literal 2 binary64)))
▶54.3%
#s(approx (+ (+ (* x x) y) y) (*.f64 x x))
Compiler

Compiled 52 to 46 computations (11.5% saved)

simplify5.0ms (0.2%)

Memory
10.2MiB live, 10.2MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 11 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 x x)
cost-diff128
(fma.f64 y #s(literal 2 binary64) (*.f64 x x))
cost-diff0
(*.f64 x x)
cost-diff0
#s(approx (+ (* x x) y) (*.f64 x x))
cost-diff0
(+.f64 #s(approx (+ (* x x) y) (*.f64 x x)) y)
cost-diff0
(*.f64 y #s(literal 2 binary64))
cost-diff0
#s(approx (+ (+ (* x x) y) y) (*.f64 y #s(literal 2 binary64)))
cost-diff0
(*.f64 x x)
cost-diff0
#s(approx (+ (+ (* x x) y) y) (*.f64 x x))
cost-diff0
(fma.f64 x x y)
cost-diff0
(+.f64 (fma.f64 x x y) y)
Rules
18×lower-+.f32
14×lower-+.f64
8×lower-fma.f32
8×+-commutative
6×lower-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01576
02176
12876
22876
02876
Stop Event
1×iter limit
1×saturated
1×iter limit
Calls
Call 1
Inputs
(+.f64 (fma.f64 x x y) y)
(fma.f64 x x y)
x
y
#s(approx (+ (+ (* x x) y) y) (*.f64 x x))
(*.f64 x x)
x
#s(approx (+ (+ (* x x) y) y) (*.f64 y #s(literal 2 binary64)))
(*.f64 y #s(literal 2 binary64))
y
#s(literal 2 binary64)
(+.f64 #s(approx (+ (* x x) y) (*.f64 x x)) y)
#s(approx (+ (* x x) y) (*.f64 x x))
(*.f64 x x)
x
y
(fma.f64 y #s(literal 2 binary64) (*.f64 x x))
y
#s(literal 2 binary64)
(*.f64 x x)
x
Outputs
(+.f64 (fma.f64 x x y) y)
(fma.f64 x x y)
x
y
#s(approx (+ (+ (* x x) y) y) (*.f64 x x))
(*.f64 x x)
x
#s(approx (+ (+ (* x x) y) y) (*.f64 y #s(literal 2 binary64)))
#s(approx (+ (+ (* x x) y) y) (*.f64 #s(literal 2 binary64) y))
(*.f64 y #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) y)
y
#s(literal 2 binary64)
(+.f64 #s(approx (+ (* x x) y) (*.f64 x x)) y)
#s(approx (+ (* x x) y) (*.f64 x x))
(*.f64 x x)
x
y
(fma.f64 y #s(literal 2 binary64) (*.f64 x x))
(+.f64 (fma.f64 x x y) y)
y
#s(literal 2 binary64)
(*.f64 x x)
x

localize27.0ms (1%)

Memory
-12.7MiB live, 64.9MiB allocated
Localize:

Found 11 expressions of interest:

NewMetricScoreProgram
accuracy0
(*.f64 x x)
accuracy0.00390625
(fma.f64 y #s(literal 2 binary64) (*.f64 x x))
accuracy0
(*.f64 x x)
accuracy0.00390625
(+.f64 #s(approx (+ (* x x) y) (*.f64 x x)) y)
accuracy29.24460730195967
#s(approx (+ (* x x) y) (*.f64 x x))
accuracy0
(*.f64 y #s(literal 2 binary64))
accuracy33.07718822209902
#s(approx (+ (+ (* x x) y) y) (*.f64 y #s(literal 2 binary64)))
accuracy0
(*.f64 x x)
accuracy29.254307595754586
#s(approx (+ (+ (* x x) y) y) (*.f64 x x))
accuracy0
(fma.f64 x x y)
accuracy0.00390625
(+.f64 (fma.f64 x x y) y)
Samples
17.0ms256×0valid
Compiler

Compiled 69 to 10 computations (85.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 8.0ms
ival-add: 4.0ms (50.1% of total)
ival-mult: 3.0ms (37.6% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series7.0ms (0.3%)

Memory
19.5MiB live, 19.5MiB allocated
Counts
9 → 192
Calls
Call 1
Inputs
#s(alt (+.f64 (fma.f64 x x y) y) (patch (+.f64 (fma.f64 x x y) y) #<representation binary64>) () ())
#s(alt (fma.f64 x x y) (patch (fma.f64 x x y) #<representation binary64>) () ())
#s(alt #s(approx (+ (+ (* x x) y) y) (*.f64 x x)) (patch #s(approx (+ (+ (* x x) y) y) (*.f64 x x)) #<representation binary64>) () ())
#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())
#s(alt #s(approx (+ (+ (* x x) y) y) (*.f64 y #s(literal 2 binary64))) (patch #s(approx (+ (+ (* x x) y) y) (*.f64 y #s(literal 2 binary64))) #<representation binary64>) () ())
#s(alt (*.f64 y #s(literal 2 binary64)) (patch (*.f64 y #s(literal 2 binary64)) #<representation binary64>) () ())
#s(alt (+.f64 #s(approx (+ (* x x) y) (*.f64 x x)) y) (patch (+.f64 #s(approx (+ (* x x) y) (*.f64 x x)) y) #<representation binary64>) () ())
#s(alt #s(approx (+ (* x x) y) (*.f64 x x)) (patch #s(approx (+ (* x x) y) (*.f64 x x)) #<representation binary64>) () ())
#s(alt (fma.f64 y #s(literal 2 binary64) (*.f64 x x)) (patch (fma.f64 y #s(literal 2 binary64) (*.f64 x x)) #<representation binary64>) () ())
Outputs
#s(alt (pow x 2) (taylor 0 y) (#s(alt (+.f64 (fma.f64 x x y) y) (patch (+.f64 (fma.f64 x x y) y) #<representation binary64>) () ())) ())
#s(alt (+ (* 2 y) (pow x 2)) (taylor 0 y) (#s(alt (+.f64 (fma.f64 x x y) y) (patch (+.f64 (fma.f64 x x y) y) #<representation binary64>) () ())) ())
#s(alt (+ (* 2 y) (pow x 2)) (taylor 0 y) (#s(alt (+.f64 (fma.f64 x x y) y) (patch (+.f64 (fma.f64 x x y) y) #<representation binary64>) () ())) ())
#s(alt (+ (* 2 y) (pow x 2)) (taylor 0 y) (#s(alt (+.f64 (fma.f64 x x y) y) (patch (+.f64 (fma.f64 x x y) y) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 y) (#s(alt (fma.f64 x x y) (patch (fma.f64 x x y) #<representation binary64>) () ())) ())
#s(alt (+ y (pow x 2)) (taylor 0 y) (#s(alt (fma.f64 x x y) (patch (fma.f64 x x y) #<representation binary64>) () ())) ())
#s(alt (+ y (pow x 2)) (taylor 0 y) (#s(alt (fma.f64 x x y) (patch (fma.f64 x x y) #<representation binary64>) () ())) ())
#s(alt (+ y (pow x 2)) (taylor 0 y) (#s(alt (fma.f64 x x y) (patch (fma.f64 x x y) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 y) (#s(alt #s(approx (+ (+ (* x x) y) y) (*.f64 x x)) (patch #s(approx (+ (+ (* x x) y) y) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (+ (* 2 y) (pow x 2)) (taylor 0 y) (#s(alt #s(approx (+ (+ (* x x) y) y) (*.f64 x x)) (patch #s(approx (+ (+ (* x x) y) y) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (+ (* 2 y) (pow x 2)) (taylor 0 y) (#s(alt #s(approx (+ (+ (* x x) y) y) (*.f64 x x)) (patch #s(approx (+ (+ (* x x) y) y) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (+ (* 2 y) (pow x 2)) (taylor 0 y) (#s(alt #s(approx (+ (+ (* x x) y) y) (*.f64 x x)) (patch #s(approx (+ (+ (* x x) y) y) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 y) (#s(alt #s(approx (+ (+ (* x x) y) y) (*.f64 y #s(literal 2 binary64))) (patch #s(approx (+ (+ (* x x) y) y) (*.f64 y #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* 2 y) (pow x 2)) (taylor 0 y) (#s(alt #s(approx (+ (+ (* x x) y) y) (*.f64 y #s(literal 2 binary64))) (patch #s(approx (+ (+ (* x x) y) y) (*.f64 y #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* 2 y) (pow x 2)) (taylor 0 y) (#s(alt #s(approx (+ (+ (* x x) y) y) (*.f64 y #s(literal 2 binary64))) (patch #s(approx (+ (+ (* x x) y) y) (*.f64 y #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* 2 y) (pow x 2)) (taylor 0 y) (#s(alt #s(approx (+ (+ (* x x) y) y) (*.f64 y #s(literal 2 binary64))) (patch #s(approx (+ (+ (* x x) y) y) (*.f64 y #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 2 y) (taylor 0 y) (#s(alt (*.f64 y #s(literal 2 binary64)) (patch (*.f64 y #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 2 y) (taylor 0 y) (#s(alt (*.f64 y #s(literal 2 binary64)) (patch (*.f64 y #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 2 y) (taylor 0 y) (#s(alt (*.f64 y #s(literal 2 binary64)) (patch (*.f64 y #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 2 y) (taylor 0 y) (#s(alt (*.f64 y #s(literal 2 binary64)) (patch (*.f64 y #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 y) (#s(alt (+.f64 #s(approx (+ (* x x) y) (*.f64 x x)) y) (patch (+.f64 #s(approx (+ (* x x) y) (*.f64 x x)) y) #<representation binary64>) () ())) ())
#s(alt (+ (* 2 y) (pow x 2)) (taylor 0 y) (#s(alt (+.f64 #s(approx (+ (* x x) y) (*.f64 x x)) y) (patch (+.f64 #s(approx (+ (* x x) y) (*.f64 x x)) y) #<representation binary64>) () ())) ())
#s(alt (+ (* 2 y) (pow x 2)) (taylor 0 y) (#s(alt (+.f64 #s(approx (+ (* x x) y) (*.f64 x x)) y) (patch (+.f64 #s(approx (+ (* x x) y) (*.f64 x x)) y) #<representation binary64>) () ())) ())
#s(alt (+ (* 2 y) (pow x 2)) (taylor 0 y) (#s(alt (+.f64 #s(approx (+ (* x x) y) (*.f64 x x)) y) (patch (+.f64 #s(approx (+ (* x x) y) (*.f64 x x)) y) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 y) (#s(alt #s(approx (+ (* x x) y) (*.f64 x x)) (patch #s(approx (+ (* x x) y) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (+ y (pow x 2)) (taylor 0 y) (#s(alt #s(approx (+ (* x x) y) (*.f64 x x)) (patch #s(approx (+ (* x x) y) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (+ y (pow x 2)) (taylor 0 y) (#s(alt #s(approx (+ (* x x) y) (*.f64 x x)) (patch #s(approx (+ (* x x) y) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (+ y (pow x 2)) (taylor 0 y) (#s(alt #s(approx (+ (* x x) y) (*.f64 x x)) (patch #s(approx (+ (* x x) y) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 y) (#s(alt (fma.f64 y #s(literal 2 binary64) (*.f64 x x)) (patch (fma.f64 y #s(literal 2 binary64) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (+ (* 2 y) (pow x 2)) (taylor 0 y) (#s(alt (fma.f64 y #s(literal 2 binary64) (*.f64 x x)) (patch (fma.f64 y #s(literal 2 binary64) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (+ (* 2 y) (pow x 2)) (taylor 0 y) (#s(alt (fma.f64 y #s(literal 2 binary64) (*.f64 x x)) (patch (fma.f64 y #s(literal 2 binary64) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (+ (* 2 y) (pow x 2)) (taylor 0 y) (#s(alt (fma.f64 y #s(literal 2 binary64) (*.f64 x x)) (patch (fma.f64 y #s(literal 2 binary64) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* 2 y) (taylor inf y) (#s(alt (+.f64 (fma.f64 x x y) y) (patch (+.f64 (fma.f64 x x y) y) #<representation binary64>) () ())) ())
#s(alt (* y (+ 2 (/ (pow x 2) y))) (taylor inf y) (#s(alt (+.f64 (fma.f64 x x y) y) (patch (+.f64 (fma.f64 x x y) y) #<representation binary64>) () ())) ())
#s(alt (* y (+ 2 (/ (pow x 2) y))) (taylor inf y) (#s(alt (+.f64 (fma.f64 x x y) y) (patch (+.f64 (fma.f64 x x y) y) #<representation binary64>) () ())) ())
#s(alt (* y (+ 2 (/ (pow x 2) y))) (taylor inf y) (#s(alt (+.f64 (fma.f64 x x y) y) (patch (+.f64 (fma.f64 x x y) y) #<representation binary64>) () ())) ())
#s(alt y (taylor inf y) (#s(alt (fma.f64 x x y) (patch (fma.f64 x x y) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 (/ (pow x 2) y))) (taylor inf y) (#s(alt (fma.f64 x x y) (patch (fma.f64 x x y) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 (/ (pow x 2) y))) (taylor inf y) (#s(alt (fma.f64 x x y) (patch (fma.f64 x x y) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 (/ (pow x 2) y))) (taylor inf y) (#s(alt (fma.f64 x x y) (patch (fma.f64 x x y) #<representation binary64>) () ())) ())
#s(alt (* 2 y) (taylor inf y) (#s(alt #s(approx (+ (+ (* x x) y) y) (*.f64 x x)) (patch #s(approx (+ (+ (* x x) y) y) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* y (+ 2 (/ (pow x 2) y))) (taylor inf y) (#s(alt #s(approx (+ (+ (* x x) y) y) (*.f64 x x)) (patch #s(approx (+ (+ (* x x) y) y) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* y (+ 2 (/ (pow x 2) y))) (taylor inf y) (#s(alt #s(approx (+ (+ (* x x) y) y) (*.f64 x x)) (patch #s(approx (+ (+ (* x x) y) y) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* y (+ 2 (/ (pow x 2) y))) (taylor inf y) (#s(alt #s(approx (+ (+ (* x x) y) y) (*.f64 x x)) (patch #s(approx (+ (+ (* x x) y) y) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* 2 y) (taylor inf y) (#s(alt #s(approx (+ (+ (* x x) y) y) (*.f64 y #s(literal 2 binary64))) (patch #s(approx (+ (+ (* x x) y) y) (*.f64 y #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* y (+ 2 (/ (pow x 2) y))) (taylor inf y) (#s(alt #s(approx (+ (+ (* x x) y) y) (*.f64 y #s(literal 2 binary64))) (patch #s(approx (+ (+ (* x x) y) y) (*.f64 y #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* y (+ 2 (/ (pow x 2) y))) (taylor inf y) (#s(alt #s(approx (+ (+ (* x x) y) y) (*.f64 y #s(literal 2 binary64))) (patch #s(approx (+ (+ (* x x) y) y) (*.f64 y #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* y (+ 2 (/ (pow x 2) y))) (taylor inf y) (#s(alt #s(approx (+ (+ (* x x) y) y) (*.f64 y #s(literal 2 binary64))) (patch #s(approx (+ (+ (* x x) y) y) (*.f64 y #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 2 y) (taylor inf y) (#s(alt (*.f64 y #s(literal 2 binary64)) (patch (*.f64 y #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 2 y) (taylor inf y) (#s(alt (*.f64 y #s(literal 2 binary64)) (patch (*.f64 y #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 2 y) (taylor inf y) (#s(alt (*.f64 y #s(literal 2 binary64)) (patch (*.f64 y #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 2 y) (taylor inf y) (#s(alt (*.f64 y #s(literal 2 binary64)) (patch (*.f64 y #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 2 y) (taylor inf y) (#s(alt (+.f64 #s(approx (+ (* x x) y) (*.f64 x x)) y) (patch (+.f64 #s(approx (+ (* x x) y) (*.f64 x x)) y) #<representation binary64>) () ())) ())
#s(alt (* y (+ 2 (/ (pow x 2) y))) (taylor inf y) (#s(alt (+.f64 #s(approx (+ (* x x) y) (*.f64 x x)) y) (patch (+.f64 #s(approx (+ (* x x) y) (*.f64 x x)) y) #<representation binary64>) () ())) ())
#s(alt (* y (+ 2 (/ (pow x 2) y))) (taylor inf y) (#s(alt (+.f64 #s(approx (+ (* x x) y) (*.f64 x x)) y) (patch (+.f64 #s(approx (+ (* x x) y) (*.f64 x x)) y) #<representation binary64>) () ())) ())
#s(alt (* y (+ 2 (/ (pow x 2) y))) (taylor inf y) (#s(alt (+.f64 #s(approx (+ (* x x) y) (*.f64 x x)) y) (patch (+.f64 #s(approx (+ (* x x) y) (*.f64 x x)) y) #<representation binary64>) () ())) ())
#s(alt y (taylor inf y) (#s(alt #s(approx (+ (* x x) y) (*.f64 x x)) (patch #s(approx (+ (* x x) y) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 (/ (pow x 2) y))) (taylor inf y) (#s(alt #s(approx (+ (* x x) y) (*.f64 x x)) (patch #s(approx (+ (* x x) y) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 (/ (pow x 2) y))) (taylor inf y) (#s(alt #s(approx (+ (* x x) y) (*.f64 x x)) (patch #s(approx (+ (* x x) y) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 (/ (pow x 2) y))) (taylor inf y) (#s(alt #s(approx (+ (* x x) y) (*.f64 x x)) (patch #s(approx (+ (* x x) y) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* 2 y) (taylor inf y) (#s(alt (fma.f64 y #s(literal 2 binary64) (*.f64 x x)) (patch (fma.f64 y #s(literal 2 binary64) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* y (+ 2 (/ (pow x 2) y))) (taylor inf y) (#s(alt (fma.f64 y #s(literal 2 binary64) (*.f64 x x)) (patch (fma.f64 y #s(literal 2 binary64) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* y (+ 2 (/ (pow x 2) y))) (taylor inf y) (#s(alt (fma.f64 y #s(literal 2 binary64) (*.f64 x x)) (patch (fma.f64 y #s(literal 2 binary64) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* y (+ 2 (/ (pow x 2) y))) (taylor inf y) (#s(alt (fma.f64 y #s(literal 2 binary64) (*.f64 x x)) (patch (fma.f64 y #s(literal 2 binary64) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* 2 y) (taylor -inf y) (#s(alt (+.f64 (fma.f64 x x y) y) (patch (+.f64 (fma.f64 x x y) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (- (* -1 (/ (pow x 2) y)) 2))) (taylor -inf y) (#s(alt (+.f64 (fma.f64 x x y) y) (patch (+.f64 (fma.f64 x x y) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (- (* -1 (/ (pow x 2) y)) 2))) (taylor -inf y) (#s(alt (+.f64 (fma.f64 x x y) y) (patch (+.f64 (fma.f64 x x y) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (- (* -1 (/ (pow x 2) y)) 2))) (taylor -inf y) (#s(alt (+.f64 (fma.f64 x x y) y) (patch (+.f64 (fma.f64 x x y) y) #<representation binary64>) () ())) ())
#s(alt y (taylor -inf y) (#s(alt (fma.f64 x x y) (patch (fma.f64 x x y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (- (* -1 (/ (pow x 2) y)) 1))) (taylor -inf y) (#s(alt (fma.f64 x x y) (patch (fma.f64 x x y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (- (* -1 (/ (pow x 2) y)) 1))) (taylor -inf y) (#s(alt (fma.f64 x x y) (patch (fma.f64 x x y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (- (* -1 (/ (pow x 2) y)) 1))) (taylor -inf y) (#s(alt (fma.f64 x x y) (patch (fma.f64 x x y) #<representation binary64>) () ())) ())
#s(alt (* 2 y) (taylor -inf y) (#s(alt #s(approx (+ (+ (* x x) y) y) (*.f64 x x)) (patch #s(approx (+ (+ (* x x) y) y) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (- (* -1 (/ (pow x 2) y)) 2))) (taylor -inf y) (#s(alt #s(approx (+ (+ (* x x) y) y) (*.f64 x x)) (patch #s(approx (+ (+ (* x x) y) y) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (- (* -1 (/ (pow x 2) y)) 2))) (taylor -inf y) (#s(alt #s(approx (+ (+ (* x x) y) y) (*.f64 x x)) (patch #s(approx (+ (+ (* x x) y) y) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (- (* -1 (/ (pow x 2) y)) 2))) (taylor -inf y) (#s(alt #s(approx (+ (+ (* x x) y) y) (*.f64 x x)) (patch #s(approx (+ (+ (* x x) y) y) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* 2 y) (taylor -inf y) (#s(alt #s(approx (+ (+ (* x x) y) y) (*.f64 y #s(literal 2 binary64))) (patch #s(approx (+ (+ (* x x) y) y) (*.f64 y #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (- (* -1 (/ (pow x 2) y)) 2))) (taylor -inf y) (#s(alt #s(approx (+ (+ (* x x) y) y) (*.f64 y #s(literal 2 binary64))) (patch #s(approx (+ (+ (* x x) y) y) (*.f64 y #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (- (* -1 (/ (pow x 2) y)) 2))) (taylor -inf y) (#s(alt #s(approx (+ (+ (* x x) y) y) (*.f64 y #s(literal 2 binary64))) (patch #s(approx (+ (+ (* x x) y) y) (*.f64 y #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (- (* -1 (/ (pow x 2) y)) 2))) (taylor -inf y) (#s(alt #s(approx (+ (+ (* x x) y) y) (*.f64 y #s(literal 2 binary64))) (patch #s(approx (+ (+ (* x x) y) y) (*.f64 y #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 2 y) (taylor -inf y) (#s(alt (*.f64 y #s(literal 2 binary64)) (patch (*.f64 y #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 2 y) (taylor -inf y) (#s(alt (*.f64 y #s(literal 2 binary64)) (patch (*.f64 y #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 2 y) (taylor -inf y) (#s(alt (*.f64 y #s(literal 2 binary64)) (patch (*.f64 y #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 2 y) (taylor -inf y) (#s(alt (*.f64 y #s(literal 2 binary64)) (patch (*.f64 y #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 2 y) (taylor -inf y) (#s(alt (+.f64 #s(approx (+ (* x x) y) (*.f64 x x)) y) (patch (+.f64 #s(approx (+ (* x x) y) (*.f64 x x)) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (- (* -1 (/ (pow x 2) y)) 2))) (taylor -inf y) (#s(alt (+.f64 #s(approx (+ (* x x) y) (*.f64 x x)) y) (patch (+.f64 #s(approx (+ (* x x) y) (*.f64 x x)) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (- (* -1 (/ (pow x 2) y)) 2))) (taylor -inf y) (#s(alt (+.f64 #s(approx (+ (* x x) y) (*.f64 x x)) y) (patch (+.f64 #s(approx (+ (* x x) y) (*.f64 x x)) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (- (* -1 (/ (pow x 2) y)) 2))) (taylor -inf y) (#s(alt (+.f64 #s(approx (+ (* x x) y) (*.f64 x x)) y) (patch (+.f64 #s(approx (+ (* x x) y) (*.f64 x x)) y) #<representation binary64>) () ())) ())
#s(alt y (taylor -inf y) (#s(alt #s(approx (+ (* x x) y) (*.f64 x x)) (patch #s(approx (+ (* x x) y) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (- (* -1 (/ (pow x 2) y)) 1))) (taylor -inf y) (#s(alt #s(approx (+ (* x x) y) (*.f64 x x)) (patch #s(approx (+ (* x x) y) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (- (* -1 (/ (pow x 2) y)) 1))) (taylor -inf y) (#s(alt #s(approx (+ (* x x) y) (*.f64 x x)) (patch #s(approx (+ (* x x) y) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (- (* -1 (/ (pow x 2) y)) 1))) (taylor -inf y) (#s(alt #s(approx (+ (* x x) y) (*.f64 x x)) (patch #s(approx (+ (* x x) y) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* 2 y) (taylor -inf y) (#s(alt (fma.f64 y #s(literal 2 binary64) (*.f64 x x)) (patch (fma.f64 y #s(literal 2 binary64) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (- (* -1 (/ (pow x 2) y)) 2))) (taylor -inf y) (#s(alt (fma.f64 y #s(literal 2 binary64) (*.f64 x x)) (patch (fma.f64 y #s(literal 2 binary64) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (- (* -1 (/ (pow x 2) y)) 2))) (taylor -inf y) (#s(alt (fma.f64 y #s(literal 2 binary64) (*.f64 x x)) (patch (fma.f64 y #s(literal 2 binary64) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (- (* -1 (/ (pow x 2) y)) 2))) (taylor -inf y) (#s(alt (fma.f64 y #s(literal 2 binary64) (*.f64 x x)) (patch (fma.f64 y #s(literal 2 binary64) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* 2 y) (taylor 0 x) (#s(alt (+.f64 (fma.f64 x x y) y) (patch (+.f64 (fma.f64 x x y) y) #<representation binary64>) () ())) ())
#s(alt (+ (* 2 y) (pow x 2)) (taylor 0 x) (#s(alt (+.f64 (fma.f64 x x y) y) (patch (+.f64 (fma.f64 x x y) y) #<representation binary64>) () ())) ())
#s(alt (+ (* 2 y) (pow x 2)) (taylor 0 x) (#s(alt (+.f64 (fma.f64 x x y) y) (patch (+.f64 (fma.f64 x x y) y) #<representation binary64>) () ())) ())
#s(alt (+ (* 2 y) (pow x 2)) (taylor 0 x) (#s(alt (+.f64 (fma.f64 x x y) y) (patch (+.f64 (fma.f64 x x y) y) #<representation binary64>) () ())) ())
#s(alt y (taylor 0 x) (#s(alt (fma.f64 x x y) (patch (fma.f64 x x y) #<representation binary64>) () ())) ())
#s(alt (+ y (pow x 2)) (taylor 0 x) (#s(alt (fma.f64 x x y) (patch (fma.f64 x x y) #<representation binary64>) () ())) ())
#s(alt (+ y (pow x 2)) (taylor 0 x) (#s(alt (fma.f64 x x y) (patch (fma.f64 x x y) #<representation binary64>) () ())) ())
#s(alt (+ y (pow x 2)) (taylor 0 x) (#s(alt (fma.f64 x x y) (patch (fma.f64 x x y) #<representation binary64>) () ())) ())
#s(alt (* 2 y) (taylor 0 x) (#s(alt #s(approx (+ (+ (* x x) y) y) (*.f64 x x)) (patch #s(approx (+ (+ (* x x) y) y) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (+ (* 2 y) (pow x 2)) (taylor 0 x) (#s(alt #s(approx (+ (+ (* x x) y) y) (*.f64 x x)) (patch #s(approx (+ (+ (* x x) y) y) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (+ (* 2 y) (pow x 2)) (taylor 0 x) (#s(alt #s(approx (+ (+ (* x x) y) y) (*.f64 x x)) (patch #s(approx (+ (+ (* x x) y) y) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (+ (* 2 y) (pow x 2)) (taylor 0 x) (#s(alt #s(approx (+ (+ (* x x) y) y) (*.f64 x x)) (patch #s(approx (+ (+ (* x x) y) y) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ())
#s(alt (* 2 y) (taylor 0 x) (#s(alt #s(approx (+ (+ (* x x) y) y) (*.f64 y #s(literal 2 binary64))) (patch #s(approx (+ (+ (* x x) y) y) (*.f64 y #s(literal 2 binary64))) #<representation binary64>) () ())) ())
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#s(alt (+ (* 2 y) (pow x 2)) (taylor 0 x) (#s(alt #s(approx (+ (+ (* x x) y) y) (*.f64 y #s(literal 2 binary64))) (patch #s(approx (+ (+ (* x x) y) y) (*.f64 y #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* 2 y) (pow x 2)) (taylor 0 x) (#s(alt #s(approx (+ (+ (* x x) y) y) (*.f64 y #s(literal 2 binary64))) (patch #s(approx (+ (+ (* x x) y) y) (*.f64 y #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 2 y) (taylor 0 x) (#s(alt (+.f64 #s(approx (+ (* x x) y) (*.f64 x x)) y) (patch (+.f64 #s(approx (+ (* x x) y) (*.f64 x x)) y) #<representation binary64>) () ())) ())
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#s(alt (+ (* 2 y) (pow x 2)) (taylor 0 x) (#s(alt (+.f64 #s(approx (+ (* x x) y) (*.f64 x x)) y) (patch (+.f64 #s(approx (+ (* x x) y) (*.f64 x x)) y) #<representation binary64>) () ())) ())
#s(alt (+ (* 2 y) (pow x 2)) (taylor 0 x) (#s(alt (+.f64 #s(approx (+ (* x x) y) (*.f64 x x)) y) (patch (+.f64 #s(approx (+ (* x x) y) (*.f64 x x)) y) #<representation binary64>) () ())) ())
#s(alt y (taylor 0 x) (#s(alt #s(approx (+ (* x x) y) (*.f64 x x)) (patch #s(approx (+ (* x x) y) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (+ y (pow x 2)) (taylor 0 x) (#s(alt #s(approx (+ (* x x) y) (*.f64 x x)) (patch #s(approx (+ (* x x) y) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (+ y (pow x 2)) (taylor 0 x) (#s(alt #s(approx (+ (* x x) y) (*.f64 x x)) (patch #s(approx (+ (* x x) y) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (+ y (pow x 2)) (taylor 0 x) (#s(alt #s(approx (+ (* x x) y) (*.f64 x x)) (patch #s(approx (+ (* x x) y) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* 2 y) (taylor 0 x) (#s(alt (fma.f64 y #s(literal 2 binary64) (*.f64 x x)) (patch (fma.f64 y #s(literal 2 binary64) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (+ (* 2 y) (pow x 2)) (taylor 0 x) (#s(alt (fma.f64 y #s(literal 2 binary64) (*.f64 x x)) (patch (fma.f64 y #s(literal 2 binary64) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (+ (* 2 y) (pow x 2)) (taylor 0 x) (#s(alt (fma.f64 y #s(literal 2 binary64) (*.f64 x x)) (patch (fma.f64 y #s(literal 2 binary64) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (+ (* 2 y) (pow x 2)) (taylor 0 x) (#s(alt (fma.f64 y #s(literal 2 binary64) (*.f64 x x)) (patch (fma.f64 y #s(literal 2 binary64) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor inf x) (#s(alt (+.f64 (fma.f64 x x y) y) (patch (+.f64 (fma.f64 x x y) y) #<representation binary64>) () ())) ())
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#s(alt (* (pow x 2) (+ 1 (* 2 (/ y (pow x 2))))) (taylor inf x) (#s(alt (+.f64 (fma.f64 x x y) y) (patch (+.f64 (fma.f64 x x y) y) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (* 2 (/ y (pow x 2))))) (taylor inf x) (#s(alt (+.f64 (fma.f64 x x y) y) (patch (+.f64 (fma.f64 x x y) y) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor inf x) (#s(alt (fma.f64 x x y) (patch (fma.f64 x x y) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (/ y (pow x 2)))) (taylor inf x) (#s(alt (fma.f64 x x y) (patch (fma.f64 x x y) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (/ y (pow x 2)))) (taylor inf x) (#s(alt (fma.f64 x x y) (patch (fma.f64 x x y) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (/ y (pow x 2)))) (taylor inf x) (#s(alt (fma.f64 x x y) (patch (fma.f64 x x y) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor inf x) (#s(alt #s(approx (+ (+ (* x x) y) y) (*.f64 x x)) (patch #s(approx (+ (+ (* x x) y) y) (*.f64 x x)) #<representation binary64>) () ())) ())
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#s(alt (* (pow x 2) (+ 1 (* 2 (/ y (pow x 2))))) (taylor inf x) (#s(alt #s(approx (+ (+ (* x x) y) y) (*.f64 x x)) (patch #s(approx (+ (+ (* x x) y) y) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (* 2 (/ y (pow x 2))))) (taylor inf x) (#s(alt #s(approx (+ (+ (* x x) y) y) (*.f64 x x)) (patch #s(approx (+ (+ (* x x) y) y) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor inf x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor inf x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor inf x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor inf x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor inf x) (#s(alt #s(approx (+ (+ (* x x) y) y) (*.f64 y #s(literal 2 binary64))) (patch #s(approx (+ (+ (* x x) y) y) (*.f64 y #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (* 2 (/ y (pow x 2))))) (taylor inf x) (#s(alt #s(approx (+ (+ (* x x) y) y) (*.f64 y #s(literal 2 binary64))) (patch #s(approx (+ (+ (* x x) y) y) (*.f64 y #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (* 2 (/ y (pow x 2))))) (taylor inf x) (#s(alt #s(approx (+ (+ (* x x) y) y) (*.f64 y #s(literal 2 binary64))) (patch #s(approx (+ (+ (* x x) y) y) (*.f64 y #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (* 2 (/ y (pow x 2))))) (taylor inf x) (#s(alt #s(approx (+ (+ (* x x) y) y) (*.f64 y #s(literal 2 binary64))) (patch #s(approx (+ (+ (* x x) y) y) (*.f64 y #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor inf x) (#s(alt (+.f64 #s(approx (+ (* x x) y) (*.f64 x x)) y) (patch (+.f64 #s(approx (+ (* x x) y) (*.f64 x x)) y) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (* 2 (/ y (pow x 2))))) (taylor inf x) (#s(alt (+.f64 #s(approx (+ (* x x) y) (*.f64 x x)) y) (patch (+.f64 #s(approx (+ (* x x) y) (*.f64 x x)) y) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (* 2 (/ y (pow x 2))))) (taylor inf x) (#s(alt (+.f64 #s(approx (+ (* x x) y) (*.f64 x x)) y) (patch (+.f64 #s(approx (+ (* x x) y) (*.f64 x x)) y) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (* 2 (/ y (pow x 2))))) (taylor inf x) (#s(alt (+.f64 #s(approx (+ (* x x) y) (*.f64 x x)) y) (patch (+.f64 #s(approx (+ (* x x) y) (*.f64 x x)) y) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor inf x) (#s(alt #s(approx (+ (* x x) y) (*.f64 x x)) (patch #s(approx (+ (* x x) y) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (/ y (pow x 2)))) (taylor inf x) (#s(alt #s(approx (+ (* x x) y) (*.f64 x x)) (patch #s(approx (+ (* x x) y) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (/ y (pow x 2)))) (taylor inf x) (#s(alt #s(approx (+ (* x x) y) (*.f64 x x)) (patch #s(approx (+ (* x x) y) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (/ y (pow x 2)))) (taylor inf x) (#s(alt #s(approx (+ (* x x) y) (*.f64 x x)) (patch #s(approx (+ (* x x) y) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor inf x) (#s(alt (fma.f64 y #s(literal 2 binary64) (*.f64 x x)) (patch (fma.f64 y #s(literal 2 binary64) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (* 2 (/ y (pow x 2))))) (taylor inf x) (#s(alt (fma.f64 y #s(literal 2 binary64) (*.f64 x x)) (patch (fma.f64 y #s(literal 2 binary64) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (* 2 (/ y (pow x 2))))) (taylor inf x) (#s(alt (fma.f64 y #s(literal 2 binary64) (*.f64 x x)) (patch (fma.f64 y #s(literal 2 binary64) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (* 2 (/ y (pow x 2))))) (taylor inf x) (#s(alt (fma.f64 y #s(literal 2 binary64) (*.f64 x x)) (patch (fma.f64 y #s(literal 2 binary64) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (+.f64 (fma.f64 x x y) y) (patch (+.f64 (fma.f64 x x y) y) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (* 2 (/ y (pow x 2))))) (taylor -inf x) (#s(alt (+.f64 (fma.f64 x x y) y) (patch (+.f64 (fma.f64 x x y) y) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (* 2 (/ y (pow x 2))))) (taylor -inf x) (#s(alt (+.f64 (fma.f64 x x y) y) (patch (+.f64 (fma.f64 x x y) y) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (* 2 (/ y (pow x 2))))) (taylor -inf x) (#s(alt (+.f64 (fma.f64 x x y) y) (patch (+.f64 (fma.f64 x x y) y) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (fma.f64 x x y) (patch (fma.f64 x x y) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (/ y (pow x 2)))) (taylor -inf x) (#s(alt (fma.f64 x x y) (patch (fma.f64 x x y) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (/ y (pow x 2)))) (taylor -inf x) (#s(alt (fma.f64 x x y) (patch (fma.f64 x x y) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (/ y (pow x 2)))) (taylor -inf x) (#s(alt (fma.f64 x x y) (patch (fma.f64 x x y) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt #s(approx (+ (+ (* x x) y) y) (*.f64 x x)) (patch #s(approx (+ (+ (* x x) y) y) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (* 2 (/ y (pow x 2))))) (taylor -inf x) (#s(alt #s(approx (+ (+ (* x x) y) y) (*.f64 x x)) (patch #s(approx (+ (+ (* x x) y) y) (*.f64 x x)) #<representation binary64>) () ())) ())
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#s(alt (* (pow x 2) (+ 1 (* 2 (/ y (pow x 2))))) (taylor -inf x) (#s(alt #s(approx (+ (+ (* x x) y) y) (*.f64 x x)) (patch #s(approx (+ (+ (* x x) y) y) (*.f64 x x)) #<representation binary64>) () ())) ())
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#s(alt (pow x 2) (taylor -inf x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt #s(approx (+ (+ (* x x) y) y) (*.f64 y #s(literal 2 binary64))) (patch #s(approx (+ (+ (* x x) y) y) (*.f64 y #s(literal 2 binary64))) #<representation binary64>) () ())) ())
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#s(alt (* (pow x 2) (+ 1 (* 2 (/ y (pow x 2))))) (taylor -inf x) (#s(alt #s(approx (+ (+ (* x x) y) y) (*.f64 y #s(literal 2 binary64))) (patch #s(approx (+ (+ (* x x) y) y) (*.f64 y #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (* 2 (/ y (pow x 2))))) (taylor -inf x) (#s(alt #s(approx (+ (+ (* x x) y) y) (*.f64 y #s(literal 2 binary64))) (patch #s(approx (+ (+ (* x x) y) y) (*.f64 y #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (+.f64 #s(approx (+ (* x x) y) (*.f64 x x)) y) (patch (+.f64 #s(approx (+ (* x x) y) (*.f64 x x)) y) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (* 2 (/ y (pow x 2))))) (taylor -inf x) (#s(alt (+.f64 #s(approx (+ (* x x) y) (*.f64 x x)) y) (patch (+.f64 #s(approx (+ (* x x) y) (*.f64 x x)) y) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (* 2 (/ y (pow x 2))))) (taylor -inf x) (#s(alt (+.f64 #s(approx (+ (* x x) y) (*.f64 x x)) y) (patch (+.f64 #s(approx (+ (* x x) y) (*.f64 x x)) y) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (* 2 (/ y (pow x 2))))) (taylor -inf x) (#s(alt (+.f64 #s(approx (+ (* x x) y) (*.f64 x x)) y) (patch (+.f64 #s(approx (+ (* x x) y) (*.f64 x x)) y) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt #s(approx (+ (* x x) y) (*.f64 x x)) (patch #s(approx (+ (* x x) y) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (/ y (pow x 2)))) (taylor -inf x) (#s(alt #s(approx (+ (* x x) y) (*.f64 x x)) (patch #s(approx (+ (* x x) y) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (/ y (pow x 2)))) (taylor -inf x) (#s(alt #s(approx (+ (* x x) y) (*.f64 x x)) (patch #s(approx (+ (* x x) y) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (/ y (pow x 2)))) (taylor -inf x) (#s(alt #s(approx (+ (* x x) y) (*.f64 x x)) (patch #s(approx (+ (* x x) y) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (fma.f64 y #s(literal 2 binary64) (*.f64 x x)) (patch (fma.f64 y #s(literal 2 binary64) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (* 2 (/ y (pow x 2))))) (taylor -inf x) (#s(alt (fma.f64 y #s(literal 2 binary64) (*.f64 x x)) (patch (fma.f64 y #s(literal 2 binary64) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (* 2 (/ y (pow x 2))))) (taylor -inf x) (#s(alt (fma.f64 y #s(literal 2 binary64) (*.f64 x x)) (patch (fma.f64 y #s(literal 2 binary64) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (* 2 (/ y (pow x 2))))) (taylor -inf x) (#s(alt (fma.f64 y #s(literal 2 binary64) (*.f64 x x)) (patch (fma.f64 y #s(literal 2 binary64) (*.f64 x x)) #<representation binary64>) () ())) ())
Calls

6 calls:

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

simplify93.0ms (3.6%)

Memory
12.5MiB live, 130.3MiB allocated
Algorithm
1×egg-herbie
Rules
4 690×lower-fma.f64
4 690×lower-fma.f32
3 340×lower-*.f64
3 340×lower-*.f32
1 326×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
027996
180996
2193996
3651996
41923996
53631996
66729996
08179870
Stop Event
1×iter limit
1×node limit
Counts
192 → 186
Calls
Call 1
Inputs
(pow x 2)
(+ (* 2 y) (pow x 2))
(+ (* 2 y) (pow x 2))
(+ (* 2 y) (pow x 2))
(pow x 2)
(+ y (pow x 2))
(+ y (pow x 2))
(+ y (pow x 2))
(pow x 2)
(+ (* 2 y) (pow x 2))
(+ (* 2 y) (pow x 2))
(+ (* 2 y) (pow x 2))
(pow x 2)
(+ (* 2 y) (pow x 2))
(+ (* 2 y) (pow x 2))
(+ (* 2 y) (pow x 2))
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(pow x 2)
(+ (* 2 y) (pow x 2))
(+ (* 2 y) (pow x 2))
(+ (* 2 y) (pow x 2))
(pow x 2)
(+ y (pow x 2))
(+ y (pow x 2))
(+ y (pow x 2))
(pow x 2)
(+ (* 2 y) (pow x 2))
(+ (* 2 y) (pow x 2))
(+ (* 2 y) (pow x 2))
(* 2 y)
(* y (+ 2 (/ (pow x 2) y)))
(* y (+ 2 (/ (pow x 2) y)))
(* y (+ 2 (/ (pow x 2) y)))
y
(* y (+ 1 (/ (pow x 2) y)))
(* y (+ 1 (/ (pow x 2) y)))
(* y (+ 1 (/ (pow x 2) y)))
(* 2 y)
(* y (+ 2 (/ (pow x 2) y)))
(* y (+ 2 (/ (pow x 2) y)))
(* y (+ 2 (/ (pow x 2) y)))
(* 2 y)
(* y (+ 2 (/ (pow x 2) y)))
(* y (+ 2 (/ (pow x 2) y)))
(* y (+ 2 (/ (pow x 2) y)))
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* y (+ 2 (/ (pow x 2) y)))
(* y (+ 2 (/ (pow x 2) y)))
(* y (+ 2 (/ (pow x 2) y)))
y
(* y (+ 1 (/ (pow x 2) y)))
(* y (+ 1 (/ (pow x 2) y)))
(* y (+ 1 (/ (pow x 2) y)))
(* 2 y)
(* y (+ 2 (/ (pow x 2) y)))
(* y (+ 2 (/ (pow x 2) y)))
(* y (+ 2 (/ (pow x 2) y)))
(* 2 y)
(* -1 (* y (- (* -1 (/ (pow x 2) y)) 2)))
(* -1 (* y (- (* -1 (/ (pow x 2) y)) 2)))
(* -1 (* y (- (* -1 (/ (pow x 2) y)) 2)))
y
(* -1 (* y (- (* -1 (/ (pow x 2) y)) 1)))
(* -1 (* y (- (* -1 (/ (pow x 2) y)) 1)))
(* -1 (* y (- (* -1 (/ (pow x 2) y)) 1)))
(* 2 y)
(* -1 (* y (- (* -1 (/ (pow x 2) y)) 2)))
(* -1 (* y (- (* -1 (/ (pow x 2) y)) 2)))
(* -1 (* y (- (* -1 (/ (pow x 2) y)) 2)))
(* 2 y)
(* -1 (* y (- (* -1 (/ (pow x 2) y)) 2)))
(* -1 (* y (- (* -1 (/ (pow x 2) y)) 2)))
(* -1 (* y (- (* -1 (/ (pow x 2) y)) 2)))
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* -1 (* y (- (* -1 (/ (pow x 2) y)) 2)))
(* -1 (* y (- (* -1 (/ (pow x 2) y)) 2)))
(* -1 (* y (- (* -1 (/ (pow x 2) y)) 2)))
y
(* -1 (* y (- (* -1 (/ (pow x 2) y)) 1)))
(* -1 (* y (- (* -1 (/ (pow x 2) y)) 1)))
(* -1 (* y (- (* -1 (/ (pow x 2) y)) 1)))
(* 2 y)
(* -1 (* y (- (* -1 (/ (pow x 2) y)) 2)))
(* -1 (* y (- (* -1 (/ (pow x 2) y)) 2)))
(* -1 (* y (- (* -1 (/ (pow x 2) y)) 2)))
(* 2 y)
(+ (* 2 y) (pow x 2))
(+ (* 2 y) (pow x 2))
(+ (* 2 y) (pow x 2))
y
(+ y (pow x 2))
(+ y (pow x 2))
(+ y (pow x 2))
(* 2 y)
(+ (* 2 y) (pow x 2))
(+ (* 2 y) (pow x 2))
(+ (* 2 y) (pow x 2))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(* 2 y)
(+ (* 2 y) (pow x 2))
(+ (* 2 y) (pow x 2))
(+ (* 2 y) (pow x 2))
(* 2 y)
(+ (* 2 y) (pow x 2))
(+ (* 2 y) (pow x 2))
(+ (* 2 y) (pow x 2))
y
(+ y (pow x 2))
(+ y (pow x 2))
(+ y (pow x 2))
(* 2 y)
(+ (* 2 y) (pow x 2))
(+ (* 2 y) (pow x 2))
(+ (* 2 y) (pow x 2))
(pow x 2)
(* (pow x 2) (+ 1 (* 2 (/ y (pow x 2)))))
(* (pow x 2) (+ 1 (* 2 (/ y (pow x 2)))))
(* (pow x 2) (+ 1 (* 2 (/ y (pow x 2)))))
(pow x 2)
(* (pow x 2) (+ 1 (/ y (pow x 2))))
(* (pow x 2) (+ 1 (/ y (pow x 2))))
(* (pow x 2) (+ 1 (/ y (pow x 2))))
(pow x 2)
(* (pow x 2) (+ 1 (* 2 (/ y (pow x 2)))))
(* (pow x 2) (+ 1 (* 2 (/ y (pow x 2)))))
(* (pow x 2) (+ 1 (* 2 (/ y (pow x 2)))))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(* (pow x 2) (+ 1 (* 2 (/ y (pow x 2)))))
(* (pow x 2) (+ 1 (* 2 (/ y (pow x 2)))))
(* (pow x 2) (+ 1 (* 2 (/ y (pow x 2)))))
(pow x 2)
(* (pow x 2) (+ 1 (* 2 (/ y (pow x 2)))))
(* (pow x 2) (+ 1 (* 2 (/ y (pow x 2)))))
(* (pow x 2) (+ 1 (* 2 (/ y (pow x 2)))))
(pow x 2)
(* (pow x 2) (+ 1 (/ y (pow x 2))))
(* (pow x 2) (+ 1 (/ y (pow x 2))))
(* (pow x 2) (+ 1 (/ y (pow x 2))))
(pow x 2)
(* (pow x 2) (+ 1 (* 2 (/ y (pow x 2)))))
(* (pow x 2) (+ 1 (* 2 (/ y (pow x 2)))))
(* (pow x 2) (+ 1 (* 2 (/ y (pow x 2)))))
(pow x 2)
(* (pow x 2) (+ 1 (* 2 (/ y (pow x 2)))))
(* (pow x 2) (+ 1 (* 2 (/ y (pow x 2)))))
(* (pow x 2) (+ 1 (* 2 (/ y (pow x 2)))))
(pow x 2)
(* (pow x 2) (+ 1 (/ y (pow x 2))))
(* (pow x 2) (+ 1 (/ y (pow x 2))))
(* (pow x 2) (+ 1 (/ y (pow x 2))))
(pow x 2)
(* (pow x 2) (+ 1 (* 2 (/ y (pow x 2)))))
(* (pow x 2) (+ 1 (* 2 (/ y (pow x 2)))))
(* (pow x 2) (+ 1 (* 2 (/ y (pow x 2)))))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(* (pow x 2) (+ 1 (* 2 (/ y (pow x 2)))))
(* (pow x 2) (+ 1 (* 2 (/ y (pow x 2)))))
(* (pow x 2) (+ 1 (* 2 (/ y (pow x 2)))))
(pow x 2)
(* (pow x 2) (+ 1 (* 2 (/ y (pow x 2)))))
(* (pow x 2) (+ 1 (* 2 (/ y (pow x 2)))))
(* (pow x 2) (+ 1 (* 2 (/ y (pow x 2)))))
(pow x 2)
(* (pow x 2) (+ 1 (/ y (pow x 2))))
(* (pow x 2) (+ 1 (/ y (pow x 2))))
(* (pow x 2) (+ 1 (/ y (pow x 2))))
(pow x 2)
(* (pow x 2) (+ 1 (* 2 (/ y (pow x 2)))))
(* (pow x 2) (+ 1 (* 2 (/ y (pow x 2)))))
(* (pow x 2) (+ 1 (* 2 (/ y (pow x 2)))))
Outputs
(pow x 2)
(*.f64 x x)
(+ (* 2 y) (pow x 2))
(fma.f64 y #s(literal 2 binary64) (*.f64 x x))
(+ (* 2 y) (pow x 2))
(fma.f64 y #s(literal 2 binary64) (*.f64 x x))
(+ (* 2 y) (pow x 2))
(fma.f64 y #s(literal 2 binary64) (*.f64 x x))
(pow x 2)
(*.f64 x x)
(+ y (pow x 2))
(fma.f64 x x y)
(+ y (pow x 2))
(fma.f64 x x y)
(+ y (pow x 2))
(fma.f64 x x y)
(pow x 2)
(*.f64 x x)
(+ (* 2 y) (pow x 2))
(fma.f64 y #s(literal 2 binary64) (*.f64 x x))
(+ (* 2 y) (pow x 2))
(fma.f64 y #s(literal 2 binary64) (*.f64 x x))
(+ (* 2 y) (pow x 2))
(fma.f64 y #s(literal 2 binary64) (*.f64 x x))
(pow x 2)
(*.f64 x x)
(+ (* 2 y) (pow x 2))
(fma.f64 y #s(literal 2 binary64) (*.f64 x x))
(+ (* 2 y) (pow x 2))
(fma.f64 y #s(literal 2 binary64) (*.f64 x x))
(+ (* 2 y) (pow x 2))
(fma.f64 y #s(literal 2 binary64) (*.f64 x x))
(* 2 y)
(*.f64 y #s(literal 2 binary64))
(* 2 y)
(*.f64 y #s(literal 2 binary64))
(* 2 y)
(*.f64 y #s(literal 2 binary64))
(* 2 y)
(*.f64 y #s(literal 2 binary64))
(pow x 2)
(*.f64 x x)
(+ (* 2 y) (pow x 2))
(fma.f64 y #s(literal 2 binary64) (*.f64 x x))
(+ (* 2 y) (pow x 2))
(fma.f64 y #s(literal 2 binary64) (*.f64 x x))
(+ (* 2 y) (pow x 2))
(fma.f64 y #s(literal 2 binary64) (*.f64 x x))
(pow x 2)
(*.f64 x x)
(+ y (pow x 2))
(fma.f64 x x y)
(+ y (pow x 2))
(fma.f64 x x y)
(+ y (pow x 2))
(fma.f64 x x y)
(pow x 2)
(*.f64 x x)
(+ (* 2 y) (pow x 2))
(fma.f64 y #s(literal 2 binary64) (*.f64 x x))
(+ (* 2 y) (pow x 2))
(fma.f64 y #s(literal 2 binary64) (*.f64 x x))
(+ (* 2 y) (pow x 2))
(fma.f64 y #s(literal 2 binary64) (*.f64 x x))
(* 2 y)
(*.f64 y #s(literal 2 binary64))
(* y (+ 2 (/ (pow x 2) y)))
(fma.f64 y #s(literal 2 binary64) (*.f64 x x))
(* y (+ 2 (/ (pow x 2) y)))
(fma.f64 y #s(literal 2 binary64) (*.f64 x x))
(* y (+ 2 (/ (pow x 2) y)))
(fma.f64 y #s(literal 2 binary64) (*.f64 x x))
y
(* y (+ 1 (/ (pow x 2) y)))
(fma.f64 x x y)
(* y (+ 1 (/ (pow x 2) y)))
(fma.f64 x x y)
(* y (+ 1 (/ (pow x 2) y)))
(fma.f64 x x y)
(* 2 y)
(*.f64 y #s(literal 2 binary64))
(* y (+ 2 (/ (pow x 2) y)))
(fma.f64 y #s(literal 2 binary64) (*.f64 x x))
(* y (+ 2 (/ (pow x 2) y)))
(fma.f64 y #s(literal 2 binary64) (*.f64 x x))
(* y (+ 2 (/ (pow x 2) y)))
(fma.f64 y #s(literal 2 binary64) (*.f64 x x))
(* 2 y)
(*.f64 y #s(literal 2 binary64))
(* y (+ 2 (/ (pow x 2) y)))
(fma.f64 y #s(literal 2 binary64) (*.f64 x x))
(* y (+ 2 (/ (pow x 2) y)))
(fma.f64 y #s(literal 2 binary64) (*.f64 x x))
(* y (+ 2 (/ (pow x 2) y)))
(fma.f64 y #s(literal 2 binary64) (*.f64 x x))
(* 2 y)
(*.f64 y #s(literal 2 binary64))
(* 2 y)
(*.f64 y #s(literal 2 binary64))
(* 2 y)
(*.f64 y #s(literal 2 binary64))
(* 2 y)
(*.f64 y #s(literal 2 binary64))
(* 2 y)
(*.f64 y #s(literal 2 binary64))
(* y (+ 2 (/ (pow x 2) y)))
(fma.f64 y #s(literal 2 binary64) (*.f64 x x))
(* y (+ 2 (/ (pow x 2) y)))
(fma.f64 y #s(literal 2 binary64) (*.f64 x x))
(* y (+ 2 (/ (pow x 2) y)))
(fma.f64 y #s(literal 2 binary64) (*.f64 x x))
y
(* y (+ 1 (/ (pow x 2) y)))
(fma.f64 x x y)
(* y (+ 1 (/ (pow x 2) y)))
(fma.f64 x x y)
(* y (+ 1 (/ (pow x 2) y)))
(fma.f64 x x y)
(* 2 y)
(*.f64 y #s(literal 2 binary64))
(* y (+ 2 (/ (pow x 2) y)))
(fma.f64 y #s(literal 2 binary64) (*.f64 x x))
(* y (+ 2 (/ (pow x 2) y)))
(fma.f64 y #s(literal 2 binary64) (*.f64 x x))
(* y (+ 2 (/ (pow x 2) y)))
(fma.f64 y #s(literal 2 binary64) (*.f64 x x))
(* 2 y)
(*.f64 y #s(literal 2 binary64))
(* -1 (* y (- (* -1 (/ (pow x 2) y)) 2)))
(fma.f64 y #s(literal 2 binary64) (*.f64 x x))
(* -1 (* y (- (* -1 (/ (pow x 2) y)) 2)))
(fma.f64 y #s(literal 2 binary64) (*.f64 x x))
(* -1 (* y (- (* -1 (/ (pow x 2) y)) 2)))
(fma.f64 y #s(literal 2 binary64) (*.f64 x x))
y
(* -1 (* y (- (* -1 (/ (pow x 2) y)) 1)))
(fma.f64 x x y)
(* -1 (* y (- (* -1 (/ (pow x 2) y)) 1)))
(fma.f64 x x y)
(* -1 (* y (- (* -1 (/ (pow x 2) y)) 1)))
(fma.f64 x x y)
(* 2 y)
(*.f64 y #s(literal 2 binary64))
(* -1 (* y (- (* -1 (/ (pow x 2) y)) 2)))
(fma.f64 y #s(literal 2 binary64) (*.f64 x x))
(* -1 (* y (- (* -1 (/ (pow x 2) y)) 2)))
(fma.f64 y #s(literal 2 binary64) (*.f64 x x))
(* -1 (* y (- (* -1 (/ (pow x 2) y)) 2)))
(fma.f64 y #s(literal 2 binary64) (*.f64 x x))
(* 2 y)
(*.f64 y #s(literal 2 binary64))
(* -1 (* y (- (* -1 (/ (pow x 2) y)) 2)))
(fma.f64 y #s(literal 2 binary64) (*.f64 x x))
(* -1 (* y (- (* -1 (/ (pow x 2) y)) 2)))
(fma.f64 y #s(literal 2 binary64) (*.f64 x x))
(* -1 (* y (- (* -1 (/ (pow x 2) y)) 2)))
(fma.f64 y #s(literal 2 binary64) (*.f64 x x))
(* 2 y)
(*.f64 y #s(literal 2 binary64))
(* 2 y)
(*.f64 y #s(literal 2 binary64))
(* 2 y)
(*.f64 y #s(literal 2 binary64))
(* 2 y)
(*.f64 y #s(literal 2 binary64))
(* 2 y)
(*.f64 y #s(literal 2 binary64))
(* -1 (* y (- (* -1 (/ (pow x 2) y)) 2)))
(fma.f64 y #s(literal 2 binary64) (*.f64 x x))
(* -1 (* y (- (* -1 (/ (pow x 2) y)) 2)))
(fma.f64 y #s(literal 2 binary64) (*.f64 x x))
(* -1 (* y (- (* -1 (/ (pow x 2) y)) 2)))
(fma.f64 y #s(literal 2 binary64) (*.f64 x x))
y
(* -1 (* y (- (* -1 (/ (pow x 2) y)) 1)))
(fma.f64 x x y)
(* -1 (* y (- (* -1 (/ (pow x 2) y)) 1)))
(fma.f64 x x y)
(* -1 (* y (- (* -1 (/ (pow x 2) y)) 1)))
(fma.f64 x x y)
(* 2 y)
(*.f64 y #s(literal 2 binary64))
(* -1 (* y (- (* -1 (/ (pow x 2) y)) 2)))
(fma.f64 y #s(literal 2 binary64) (*.f64 x x))
(* -1 (* y (- (* -1 (/ (pow x 2) y)) 2)))
(fma.f64 y #s(literal 2 binary64) (*.f64 x x))
(* -1 (* y (- (* -1 (/ (pow x 2) y)) 2)))
(fma.f64 y #s(literal 2 binary64) (*.f64 x x))
(* 2 y)
(*.f64 y #s(literal 2 binary64))
(+ (* 2 y) (pow x 2))
(fma.f64 y #s(literal 2 binary64) (*.f64 x x))
(+ (* 2 y) (pow x 2))
(fma.f64 y #s(literal 2 binary64) (*.f64 x x))
(+ (* 2 y) (pow x 2))
(fma.f64 y #s(literal 2 binary64) (*.f64 x x))
y
(+ y (pow x 2))
(fma.f64 x x y)
(+ y (pow x 2))
(fma.f64 x x y)
(+ y (pow x 2))
(fma.f64 x x y)
(* 2 y)
(*.f64 y #s(literal 2 binary64))
(+ (* 2 y) (pow x 2))
(fma.f64 y #s(literal 2 binary64) (*.f64 x x))
(+ (* 2 y) (pow x 2))
(fma.f64 y #s(literal 2 binary64) (*.f64 x x))
(+ (* 2 y) (pow x 2))
(fma.f64 y #s(literal 2 binary64) (*.f64 x x))
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(* 2 y)
(*.f64 y #s(literal 2 binary64))
(+ (* 2 y) (pow x 2))
(fma.f64 y #s(literal 2 binary64) (*.f64 x x))
(+ (* 2 y) (pow x 2))
(fma.f64 y #s(literal 2 binary64) (*.f64 x x))
(+ (* 2 y) (pow x 2))
(fma.f64 y #s(literal 2 binary64) (*.f64 x x))
(* 2 y)
(*.f64 y #s(literal 2 binary64))
(+ (* 2 y) (pow x 2))
(fma.f64 y #s(literal 2 binary64) (*.f64 x x))
(+ (* 2 y) (pow x 2))
(fma.f64 y #s(literal 2 binary64) (*.f64 x x))
(+ (* 2 y) (pow x 2))
(fma.f64 y #s(literal 2 binary64) (*.f64 x x))
y
(+ y (pow x 2))
(fma.f64 x x y)
(+ y (pow x 2))
(fma.f64 x x y)
(+ y (pow x 2))
(fma.f64 x x y)
(* 2 y)
(*.f64 y #s(literal 2 binary64))
(+ (* 2 y) (pow x 2))
(fma.f64 y #s(literal 2 binary64) (*.f64 x x))
(+ (* 2 y) (pow x 2))
(fma.f64 y #s(literal 2 binary64) (*.f64 x x))
(+ (* 2 y) (pow x 2))
(fma.f64 y #s(literal 2 binary64) (*.f64 x x))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* 2 (/ y (pow x 2)))))
(fma.f64 y #s(literal 2 binary64) (*.f64 x x))
(* (pow x 2) (+ 1 (* 2 (/ y (pow x 2)))))
(fma.f64 y #s(literal 2 binary64) (*.f64 x x))
(* (pow x 2) (+ 1 (* 2 (/ y (pow x 2)))))
(fma.f64 y #s(literal 2 binary64) (*.f64 x x))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (/ y (pow x 2))))
(fma.f64 x x y)
(* (pow x 2) (+ 1 (/ y (pow x 2))))
(fma.f64 x x y)
(* (pow x 2) (+ 1 (/ y (pow x 2))))
(fma.f64 x x y)
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* 2 (/ y (pow x 2)))))
(fma.f64 y #s(literal 2 binary64) (*.f64 x x))
(* (pow x 2) (+ 1 (* 2 (/ y (pow x 2)))))
(fma.f64 y #s(literal 2 binary64) (*.f64 x x))
(* (pow x 2) (+ 1 (* 2 (/ y (pow x 2)))))
(fma.f64 y #s(literal 2 binary64) (*.f64 x x))
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* 2 (/ y (pow x 2)))))
(fma.f64 y #s(literal 2 binary64) (*.f64 x x))
(* (pow x 2) (+ 1 (* 2 (/ y (pow x 2)))))
(fma.f64 y #s(literal 2 binary64) (*.f64 x x))
(* (pow x 2) (+ 1 (* 2 (/ y (pow x 2)))))
(fma.f64 y #s(literal 2 binary64) (*.f64 x x))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* 2 (/ y (pow x 2)))))
(fma.f64 y #s(literal 2 binary64) (*.f64 x x))
(* (pow x 2) (+ 1 (* 2 (/ y (pow x 2)))))
(fma.f64 y #s(literal 2 binary64) (*.f64 x x))
(* (pow x 2) (+ 1 (* 2 (/ y (pow x 2)))))
(fma.f64 y #s(literal 2 binary64) (*.f64 x x))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (/ y (pow x 2))))
(fma.f64 x x y)
(* (pow x 2) (+ 1 (/ y (pow x 2))))
(fma.f64 x x y)
(* (pow x 2) (+ 1 (/ y (pow x 2))))
(fma.f64 x x y)
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* 2 (/ y (pow x 2)))))
(fma.f64 y #s(literal 2 binary64) (*.f64 x x))
(* (pow x 2) (+ 1 (* 2 (/ y (pow x 2)))))
(fma.f64 y #s(literal 2 binary64) (*.f64 x x))
(* (pow x 2) (+ 1 (* 2 (/ y (pow x 2)))))
(fma.f64 y #s(literal 2 binary64) (*.f64 x x))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* 2 (/ y (pow x 2)))))
(fma.f64 y #s(literal 2 binary64) (*.f64 x x))
(* (pow x 2) (+ 1 (* 2 (/ y (pow x 2)))))
(fma.f64 y #s(literal 2 binary64) (*.f64 x x))
(* (pow x 2) (+ 1 (* 2 (/ y (pow x 2)))))
(fma.f64 y #s(literal 2 binary64) (*.f64 x x))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (/ y (pow x 2))))
(fma.f64 x x y)
(* (pow x 2) (+ 1 (/ y (pow x 2))))
(fma.f64 x x y)
(* (pow x 2) (+ 1 (/ y (pow x 2))))
(fma.f64 x x y)
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* 2 (/ y (pow x 2)))))
(fma.f64 y #s(literal 2 binary64) (*.f64 x x))
(* (pow x 2) (+ 1 (* 2 (/ y (pow x 2)))))
(fma.f64 y #s(literal 2 binary64) (*.f64 x x))
(* (pow x 2) (+ 1 (* 2 (/ y (pow x 2)))))
(fma.f64 y #s(literal 2 binary64) (*.f64 x x))
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* 2 (/ y (pow x 2)))))
(fma.f64 y #s(literal 2 binary64) (*.f64 x x))
(* (pow x 2) (+ 1 (* 2 (/ y (pow x 2)))))
(fma.f64 y #s(literal 2 binary64) (*.f64 x x))
(* (pow x 2) (+ 1 (* 2 (/ y (pow x 2)))))
(fma.f64 y #s(literal 2 binary64) (*.f64 x x))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* 2 (/ y (pow x 2)))))
(fma.f64 y #s(literal 2 binary64) (*.f64 x x))
(* (pow x 2) (+ 1 (* 2 (/ y (pow x 2)))))
(fma.f64 y #s(literal 2 binary64) (*.f64 x x))
(* (pow x 2) (+ 1 (* 2 (/ y (pow x 2)))))
(fma.f64 y #s(literal 2 binary64) (*.f64 x x))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (/ y (pow x 2))))
(fma.f64 x x y)
(* (pow x 2) (+ 1 (/ y (pow x 2))))
(fma.f64 x x y)
(* (pow x 2) (+ 1 (/ y (pow x 2))))
(fma.f64 x x y)
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* 2 (/ y (pow x 2)))))
(fma.f64 y #s(literal 2 binary64) (*.f64 x x))
(* (pow x 2) (+ 1 (* 2 (/ y (pow x 2)))))
(fma.f64 y #s(literal 2 binary64) (*.f64 x x))
(* (pow x 2) (+ 1 (* 2 (/ y (pow x 2)))))
(fma.f64 y #s(literal 2 binary64) (*.f64 x x))

rewrite171.0ms (6.6%)

Memory
7.1MiB live, 283.8MiB allocated
Rules
9 808×lower-fma.f32
9 804×lower-fma.f64
4 678×lower-*.f32
4 674×lower-*.f64
3 512×lower-/.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01560
02160
17260
256260
0807360
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
9 → 745
Calls
Call 1
Inputs
(+.f64 (fma.f64 x x y) y)
(fma.f64 x x y)
#s(approx (+ (+ (* x x) y) y) (*.f64 x x))
(*.f64 x x)
#s(approx (+ (+ (* x x) y) y) (*.f64 y #s(literal 2 binary64)))
(*.f64 y #s(literal 2 binary64))
(+.f64 #s(approx (+ (* x x) y) (*.f64 x x)) y)
#s(approx (+ (* x x) y) (*.f64 x x))
(fma.f64 y #s(literal 2 binary64) (*.f64 x x))
Outputs
(*.f64 (/.f64 (fma.f64 (neg.f64 y) y (pow.f64 (fma.f64 x x y) #s(literal 2 binary64))) (-.f64 (pow.f64 (fma.f64 x x y) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 y (+.f64 (fma.f64 x x y) y) (pow.f64 (fma.f64 x x y) #s(literal 2 binary64))))
(*.f64 (/.f64 (-.f64 (*.f64 #s(literal -2 binary64) y) (pow.f64 x #s(literal 4 binary64))) (neg.f64 (fma.f64 #s(literal -2 binary64) y (pow.f64 x #s(literal 6 binary64))))) (fma.f64 #s(literal -2 binary64) y (fma.f64 #s(literal -2 binary64) (*.f64 (*.f64 x x) y) (pow.f64 x #s(literal 4 binary64)))))
(*.f64 (/.f64 (+.f64 (pow.f64 (fma.f64 x x y) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (-.f64 (pow.f64 (fma.f64 x x y) #s(literal 4 binary64)) (pow.f64 (*.f64 (neg.f64 x) (*.f64 y x)) #s(literal 2 binary64)))) (-.f64 (pow.f64 (fma.f64 x x y) #s(literal 2 binary64)) (*.f64 (neg.f64 x) (*.f64 y x))))
(*.f64 (/.f64 (+.f64 (pow.f64 (fma.f64 x x y) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (neg.f64 x) (*.f64 y x)) #s(literal 3 binary64)) (pow.f64 (fma.f64 x x y) #s(literal 6 binary64)))) (fma.f64 (*.f64 (neg.f64 x) (*.f64 y x)) (-.f64 (*.f64 (neg.f64 x) (*.f64 y x)) (pow.f64 (fma.f64 x x y) #s(literal 2 binary64))) (pow.f64 (fma.f64 x x y) #s(literal 4 binary64))))
(*.f64 (/.f64 (fma.f64 #s(literal -2 binary64) y (pow.f64 x #s(literal 6 binary64))) (-.f64 (*.f64 #s(literal -2 binary64) y) (*.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal -2 binary64) y (pow.f64 x #s(literal 4 binary64)))))) (neg.f64 (fma.f64 #s(literal -2 binary64) y (fma.f64 #s(literal -2 binary64) (*.f64 (*.f64 x x) y) (pow.f64 x #s(literal 4 binary64))))))
(*.f64 (/.f64 (fma.f64 #s(literal -2 binary64) y (pow.f64 x #s(literal 6 binary64))) (fma.f64 #s(literal -2 binary64) y (pow.f64 (fma.f64 #s(literal -2 binary64) (*.f64 (*.f64 x x) y) (pow.f64 x #s(literal 4 binary64))) #s(literal 3 binary64)))) (fma.f64 #s(literal -2 binary64) y (fma.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal -2 binary64) y (pow.f64 x #s(literal 4 binary64))) (*.f64 (fma.f64 #s(literal -2 binary64) (*.f64 (*.f64 x x) y) (pow.f64 x #s(literal 4 binary64))) (*.f64 #s(literal -2 binary64) y)))))
(*.f64 (/.f64 (-.f64 (*.f64 #s(literal -2 binary64) y) (pow.f64 x #s(literal 4 binary64))) (-.f64 (*.f64 #s(literal -2 binary64) y) (pow.f64 x #s(literal 4 binary64)))) (+.f64 (fma.f64 x x y) y))
(*.f64 (/.f64 (fma.f64 (neg.f64 y) y (pow.f64 (fma.f64 x x y) #s(literal 2 binary64))) (fma.f64 (neg.f64 y) y (pow.f64 (fma.f64 x x y) #s(literal 2 binary64)))) (+.f64 (fma.f64 x x y) y))
(*.f64 #s(literal -1 binary64) (fma.f64 (neg.f64 x) x (*.f64 #s(literal -2 binary64) y)))
(*.f64 (fma.f64 #s(literal -2 binary64) y (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 x x y) y)))
(*.f64 (-.f64 (*.f64 y y) (pow.f64 (fma.f64 x x y) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) x)))
(*.f64 (pow.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal -1 binary64)) (fma.f64 (neg.f64 y) y (pow.f64 (fma.f64 x x y) #s(literal 2 binary64))))
(*.f64 (pow.f64 (fma.f64 (neg.f64 x) (*.f64 y x) (pow.f64 (fma.f64 x x y) #s(literal 2 binary64))) #s(literal -1 binary64)) (+.f64 (pow.f64 (fma.f64 x x y) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))
(*.f64 (/.f64 #s(literal -1 binary64) (+.f64 (fma.f64 x x y) y)) (-.f64 (*.f64 #s(literal -2 binary64) y) (pow.f64 x #s(literal 4 binary64))))
(*.f64 (pow.f64 (fma.f64 #s(literal -2 binary64) y (fma.f64 #s(literal -2 binary64) (*.f64 (*.f64 x x) y) (pow.f64 x #s(literal 4 binary64)))) #s(literal -1 binary64)) (fma.f64 #s(literal -2 binary64) y (pow.f64 x #s(literal 6 binary64))))
(*.f64 #s(literal 1 binary64) (+.f64 (fma.f64 x x y) y))
(*.f64 (neg.f64 (fma.f64 #s(literal -2 binary64) y (pow.f64 x #s(literal 6 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 #s(literal -2 binary64) y (fma.f64 #s(literal -2 binary64) (*.f64 (*.f64 x x) y) (pow.f64 x #s(literal 4 binary64)))))))
(*.f64 (neg.f64 (fma.f64 (neg.f64 y) y (pow.f64 (fma.f64 x x y) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 x x #s(literal 0 binary64)))))
(*.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 x x y) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (neg.f64 x) (*.f64 y x) (pow.f64 (fma.f64 x x y) #s(literal 2 binary64))))))
(*.f64 (fma.f64 (neg.f64 y) y (pow.f64 (fma.f64 x x y) #s(literal 2 binary64))) (pow.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal -1 binary64)))
(*.f64 (-.f64 (*.f64 #s(literal -2 binary64) y) (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal -1 binary64) (+.f64 (fma.f64 x x y) y)))
(*.f64 (fma.f64 (neg.f64 x) (*.f64 y x) (pow.f64 (fma.f64 x x y) #s(literal 2 binary64))) (/.f64 (+.f64 (fma.f64 x x y) y) (fma.f64 (neg.f64 x) (*.f64 y x) (pow.f64 (fma.f64 x x y) #s(literal 2 binary64)))))
(*.f64 (fma.f64 (neg.f64 x) (*.f64 y x) (pow.f64 (fma.f64 x x y) #s(literal 2 binary64))) (*.f64 (+.f64 (fma.f64 x x y) y) (pow.f64 (fma.f64 (neg.f64 x) (*.f64 y x) (pow.f64 (fma.f64 x x y) #s(literal 2 binary64))) #s(literal -1 binary64))))
(*.f64 (+.f64 (pow.f64 (fma.f64 x x y) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (pow.f64 (fma.f64 (neg.f64 x) (*.f64 y x) (pow.f64 (fma.f64 x x y) #s(literal 2 binary64))) #s(literal -1 binary64)))
(*.f64 (fma.f64 #s(literal -2 binary64) y (fma.f64 #s(literal -2 binary64) (*.f64 (*.f64 x x) y) (pow.f64 x #s(literal 4 binary64)))) (/.f64 (+.f64 (fma.f64 x x y) y) (fma.f64 #s(literal -2 binary64) y (fma.f64 #s(literal -2 binary64) (*.f64 (*.f64 x x) y) (pow.f64 x #s(literal 4 binary64))))))
(*.f64 (fma.f64 #s(literal -2 binary64) y (fma.f64 #s(literal -2 binary64) (*.f64 (*.f64 x x) y) (pow.f64 x #s(literal 4 binary64)))) (*.f64 (+.f64 (fma.f64 x x y) y) (pow.f64 (fma.f64 #s(literal -2 binary64) y (fma.f64 #s(literal -2 binary64) (*.f64 (*.f64 x x) y) (pow.f64 x #s(literal 4 binary64)))) #s(literal -1 binary64))))
(*.f64 (fma.f64 #s(literal -2 binary64) y (pow.f64 x #s(literal 6 binary64))) (pow.f64 (fma.f64 #s(literal -2 binary64) y (fma.f64 #s(literal -2 binary64) (*.f64 (*.f64 x x) y) (pow.f64 x #s(literal 4 binary64)))) #s(literal -1 binary64)))
(*.f64 (+.f64 (fma.f64 x x y) y) (/.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64))))
(*.f64 (+.f64 (fma.f64 x x y) y) (/.f64 (fma.f64 (neg.f64 x) x (*.f64 #s(literal -2 binary64) y)) (fma.f64 (neg.f64 x) x (*.f64 #s(literal -2 binary64) y))))
(*.f64 (+.f64 (fma.f64 x x y) y) (*.f64 (fma.f64 x x #s(literal 0 binary64)) (pow.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal -1 binary64))))
(*.f64 (+.f64 (fma.f64 x x y) y) (*.f64 (fma.f64 (neg.f64 x) x (*.f64 #s(literal -2 binary64) y)) (/.f64 #s(literal -1 binary64) (+.f64 (fma.f64 x x y) y))))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 x x y) y)) #s(literal -1 binary64))
(/.f64 (*.f64 (-.f64 (pow.f64 (fma.f64 x x y) #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) (pow.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal -1 binary64))) (fma.f64 y y (pow.f64 (fma.f64 x x y) #s(literal 2 binary64))))
(/.f64 (*.f64 (-.f64 (pow.f64 (fma.f64 x x y) #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) (pow.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal -1 binary64))) (fma.f64 (*.f64 y y) (fma.f64 y y (pow.f64 (fma.f64 x x y) #s(literal 2 binary64))) (pow.f64 (fma.f64 x x y) #s(literal 4 binary64))))
(/.f64 (*.f64 (-.f64 (*.f64 #s(literal -2 binary64) y) (pow.f64 x #s(literal 8 binary64))) (/.f64 #s(literal -1 binary64) (+.f64 (fma.f64 x x y) y))) (fma.f64 #s(literal -2 binary64) y (pow.f64 x #s(literal 4 binary64))))
(/.f64 (*.f64 (-.f64 (*.f64 #s(literal -2 binary64) y) (pow.f64 x #s(literal 12 binary64))) (/.f64 #s(literal -1 binary64) (+.f64 (fma.f64 x x y) y))) (fma.f64 #s(literal -2 binary64) y (*.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal -2 binary64) y (pow.f64 x #s(literal 4 binary64))))))
(/.f64 (*.f64 (-.f64 (pow.f64 (fma.f64 x x y) #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) (pow.f64 (fma.f64 (neg.f64 x) (*.f64 y x) (pow.f64 (fma.f64 x x y) #s(literal 2 binary64))) #s(literal -1 binary64))) (-.f64 (pow.f64 (fma.f64 x x y) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))
(/.f64 (*.f64 (+.f64 (pow.f64 y #s(literal 9 binary64)) (pow.f64 (fma.f64 x x y) #s(literal 9 binary64))) (pow.f64 (fma.f64 (neg.f64 x) (*.f64 y x) (pow.f64 (fma.f64 x x y) #s(literal 2 binary64))) #s(literal -1 binary64))) (-.f64 (+.f64 (pow.f64 (fma.f64 x x y) #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) (pow.f64 (*.f64 (fma.f64 x x y) y) #s(literal 3 binary64))))
(/.f64 (*.f64 (-.f64 (*.f64 #s(literal -2 binary64) y) (pow.f64 x #s(literal 12 binary64))) (pow.f64 (fma.f64 #s(literal -2 binary64) y (fma.f64 #s(literal -2 binary64) (*.f64 (*.f64 x x) y) (pow.f64 x #s(literal 4 binary64)))) #s(literal -1 binary64))) (neg.f64 (fma.f64 #s(literal -2 binary64) y (pow.f64 x #s(literal 6 binary64)))))
(/.f64 (*.f64 (fma.f64 #s(literal -2 binary64) y (pow.f64 x #s(literal 18 binary64))) (pow.f64 (fma.f64 #s(literal -2 binary64) y (fma.f64 #s(literal -2 binary64) (*.f64 (*.f64 x x) y) (pow.f64 x #s(literal 4 binary64)))) #s(literal -1 binary64))) (fma.f64 #s(literal -2 binary64) y (-.f64 (pow.f64 x #s(literal 12 binary64)) (*.f64 (pow.f64 x #s(literal 6 binary64)) (*.f64 #s(literal -2 binary64) y)))))
(/.f64 (*.f64 (fma.f64 (neg.f64 y) y (pow.f64 (fma.f64 x x y) #s(literal 2 binary64))) #s(literal 1 binary64)) (fma.f64 x x #s(literal 0 binary64)))
(/.f64 (*.f64 (-.f64 (*.f64 #s(literal -2 binary64) y) (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)) (fma.f64 (neg.f64 x) x (*.f64 #s(literal -2 binary64) y)))
(/.f64 (*.f64 (+.f64 (pow.f64 (fma.f64 x x y) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) #s(literal 1 binary64)) (fma.f64 (neg.f64 x) (*.f64 y x) (pow.f64 (fma.f64 x x y) #s(literal 2 binary64))))
(/.f64 (*.f64 (fma.f64 #s(literal -2 binary64) y (pow.f64 x #s(literal 6 binary64))) #s(literal 1 binary64)) (fma.f64 #s(literal -2 binary64) y (fma.f64 #s(literal -2 binary64) (*.f64 (*.f64 x x) y) (pow.f64 x #s(literal 4 binary64)))))
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (fma.f64 x x y) #s(literal 2 binary64)) (fma.f64 x x #s(literal 0 binary64))) (/.f64 (pow.f64 (fma.f64 x x y) #s(literal 2 binary64)) (fma.f64 x x #s(literal 0 binary64)))) (*.f64 (*.f64 y (/.f64 y (fma.f64 x x #s(literal 0 binary64)))) (*.f64 y (/.f64 y (fma.f64 x x #s(literal 0 binary64)))))) (+.f64 (/.f64 (pow.f64 (fma.f64 x x y) #s(literal 2 binary64)) (fma.f64 x x #s(literal 0 binary64))) (*.f64 y (/.f64 y (fma.f64 x x #s(literal 0 binary64))))))
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 #s(literal -2 binary64) y) (+.f64 (fma.f64 x x y) y)) (/.f64 (*.f64 #s(literal -2 binary64) y) (+.f64 (fma.f64 x x y) y))) (*.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (neg.f64 x) x (*.f64 #s(literal -2 binary64) y))) (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (neg.f64 x) x (*.f64 #s(literal -2 binary64) y))))) (+.f64 (/.f64 (*.f64 #s(literal -2 binary64) y) (+.f64 (fma.f64 x x y) y)) (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (neg.f64 x) x (*.f64 #s(literal -2 binary64) y)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (fma.f64 x x y) #s(literal 2 binary64)) (fma.f64 x x #s(literal 0 binary64))) #s(literal 3 binary64)) (pow.f64 (*.f64 y (/.f64 y (fma.f64 x x #s(literal 0 binary64)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (fma.f64 x x y) #s(literal 2 binary64)) (fma.f64 x x #s(literal 0 binary64))) (/.f64 (pow.f64 (fma.f64 x x y) #s(literal 2 binary64)) (fma.f64 x x #s(literal 0 binary64))) (fma.f64 (*.f64 y (/.f64 y (fma.f64 x x #s(literal 0 binary64)))) (*.f64 y (/.f64 y (fma.f64 x x #s(literal 0 binary64)))) (*.f64 (/.f64 (pow.f64 (fma.f64 x x y) #s(literal 2 binary64)) (fma.f64 x x #s(literal 0 binary64))) (*.f64 y (/.f64 y (fma.f64 x x #s(literal 0 binary64))))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 #s(literal -2 binary64) y) (+.f64 (fma.f64 x x y) y)) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (neg.f64 x) x (*.f64 #s(literal -2 binary64) y))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 #s(literal -2 binary64) y) (+.f64 (fma.f64 x x y) y)) (/.f64 (*.f64 #s(literal -2 binary64) y) (+.f64 (fma.f64 x x y) y)) (fma.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (neg.f64 x) x (*.f64 #s(literal -2 binary64) y))) (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (neg.f64 x) x (*.f64 #s(literal -2 binary64) y))) (*.f64 (/.f64 (*.f64 #s(literal -2 binary64) y) (+.f64 (fma.f64 x x y) y)) (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (neg.f64 x) x (*.f64 #s(literal -2 binary64) y)))))))
(/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (*.f64 #s(literal -2 binary64) y)) (fma.f64 #s(literal -2 binary64) y (fma.f64 #s(literal -2 binary64) (*.f64 (*.f64 x x) y) (pow.f64 x #s(literal 4 binary64)))))
(/.f64 (neg.f64 (-.f64 (*.f64 y y) (pow.f64 (fma.f64 x x y) #s(literal 2 binary64)))) (neg.f64 (*.f64 (neg.f64 x) x)))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (neg.f64 y) y (pow.f64 (fma.f64 x x y) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (fma.f64 x x #s(literal 0 binary64)))))
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 x x y) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (neg.f64 x) (*.f64 y x) (pow.f64 (fma.f64 x x y) #s(literal 2 binary64))))))
(/.f64 (neg.f64 (fma.f64 #s(literal -2 binary64) y (pow.f64 x #s(literal 4 binary64)))) (neg.f64 (+.f64 (fma.f64 x x y) y)))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal -2 binary64) y (pow.f64 x #s(literal 6 binary64))))) (neg.f64 (neg.f64 (fma.f64 #s(literal -2 binary64) y (fma.f64 #s(literal -2 binary64) (*.f64 (*.f64 x x) y) (pow.f64 x #s(literal 4 binary64)))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal -2 binary64) y (pow.f64 x #s(literal 6 binary64))))) (fma.f64 #s(literal -2 binary64) y (fma.f64 #s(literal -2 binary64) (*.f64 (*.f64 x x) y) (pow.f64 x #s(literal 4 binary64)))))
(/.f64 (*.f64 (-.f64 (pow.f64 (fma.f64 x x y) #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal 1 binary64)) (*.f64 (fma.f64 y y (pow.f64 (fma.f64 x x y) #s(literal 2 binary64))) (fma.f64 x x #s(literal 0 binary64))))
(/.f64 (*.f64 (-.f64 (*.f64 #s(literal -2 binary64) y) (pow.f64 x #s(literal 8 binary64))) #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal -2 binary64) y (pow.f64 x #s(literal 4 binary64))) (fma.f64 (neg.f64 x) x (*.f64 #s(literal -2 binary64) y))))
(/.f64 (*.f64 (-.f64 (pow.f64 (fma.f64 x x y) #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 y y) (fma.f64 y y (pow.f64 (fma.f64 x x y) #s(literal 2 binary64))) (pow.f64 (fma.f64 x x y) #s(literal 4 binary64))) (fma.f64 x x #s(literal 0 binary64))))
(/.f64 (*.f64 (-.f64 (pow.f64 (fma.f64 x x y) #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) #s(literal 1 binary64)) (*.f64 (-.f64 (pow.f64 (fma.f64 x x y) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 (neg.f64 x) (*.f64 y x) (pow.f64 (fma.f64 x x y) #s(literal 2 binary64)))))
(/.f64 (*.f64 (+.f64 (pow.f64 y #s(literal 9 binary64)) (pow.f64 (fma.f64 x x y) #s(literal 9 binary64))) #s(literal 1 binary64)) (*.f64 (-.f64 (+.f64 (pow.f64 (fma.f64 x x y) #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) (pow.f64 (*.f64 (fma.f64 x x y) y) #s(literal 3 binary64))) (fma.f64 (neg.f64 x) (*.f64 y x) (pow.f64 (fma.f64 x x y) #s(literal 2 binary64)))))
(/.f64 (*.f64 (-.f64 (*.f64 #s(literal -2 binary64) y) (pow.f64 x #s(literal 12 binary64))) #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal -2 binary64) y (*.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal -2 binary64) y (pow.f64 x #s(literal 4 binary64))))) (fma.f64 (neg.f64 x) x (*.f64 #s(literal -2 binary64) y))))
(/.f64 (*.f64 (-.f64 (*.f64 #s(literal -2 binary64) y) (pow.f64 x #s(literal 12 binary64))) #s(literal 1 binary64)) (*.f64 (neg.f64 (fma.f64 #s(literal -2 binary64) y (pow.f64 x #s(literal 6 binary64)))) (fma.f64 #s(literal -2 binary64) y (fma.f64 #s(literal -2 binary64) (*.f64 (*.f64 x x) y) (pow.f64 x #s(literal 4 binary64))))))
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(-.f64 #s(literal 0 binary64) (fma.f64 (neg.f64 x) x (*.f64 #s(literal -2 binary64) y)))
(-.f64 (/.f64 (pow.f64 (fma.f64 x x y) #s(literal 2 binary64)) (fma.f64 x x #s(literal 0 binary64))) (*.f64 y (/.f64 y (fma.f64 x x #s(literal 0 binary64)))))
(-.f64 (/.f64 (*.f64 #s(literal -2 binary64) y) (+.f64 (fma.f64 x x y) y)) (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (neg.f64 x) x (*.f64 #s(literal -2 binary64) y))))
(-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 x x) y)) (-.f64 (*.f64 y (/.f64 y (-.f64 (*.f64 x x) y))) y))
(-.f64 (-.f64 (*.f64 x x) y) y)
(-.f64 (*.f64 x x) (*.f64 #s(literal -2 binary64) y))
(+.f64 (/.f64 (pow.f64 (fma.f64 x x y) #s(literal 2 binary64)) (fma.f64 x x #s(literal 0 binary64))) (neg.f64 (*.f64 y (/.f64 y (fma.f64 x x #s(literal 0 binary64))))))
(+.f64 (/.f64 (*.f64 #s(literal -2 binary64) y) (+.f64 (fma.f64 x x y) y)) (neg.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (neg.f64 x) x (*.f64 #s(literal -2 binary64) y)))))
(+.f64 (*.f64 #s(literal -2 binary64) y) (neg.f64 (*.f64 (neg.f64 x) x)))
(+.f64 (*.f64 #s(literal -2 binary64) y) (*.f64 x x))
(+.f64 (*.f64 x x) (*.f64 #s(literal -2 binary64) y))
(+.f64 (fma.f64 x x y) y)
(+.f64 y (fma.f64 x x y))

eval111.0ms (4.3%)

Memory
-2.8MiB live, 222.9MiB allocated
Compiler

Compiled 14 726 to 1 184 computations (92% saved)

prune73.0ms (2.8%)

Memory
8.3MiB live, 170.5MiB allocated
Pruning

5 alts after pruning (1 fresh and 4 done)

PrunedKeptTotal
New9661967
Fresh000
Picked145
Done000
Total9675972
Accuracy
100.0%
Counts
972 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓100.0%
(fma.f64 y #s(literal 2 binary64) (*.f64 x x))
✓100.0%
(+.f64 (fma.f64 x x y) y)
✓61.4%
(+.f64 #s(approx (+ (* x x) y) (*.f64 x x)) y)
▶48.3%
#s(approx (+ (+ (* x x) y) y) (+.f64 y y))
✓54.3%
#s(approx (+ (+ (* x x) y) y) (*.f64 x x))
Compiler

Compiled 26 to 22 computations (15.4% saved)

simplify4.0ms (0.2%)

Memory
8.8MiB live, 8.8MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 2 expressions of interest:

NewMetricScoreProgram
cost-diff-128
(+.f64 y y)
cost-diff0
#s(approx (+ (+ (* x x) y) y) (+.f64 y y))
Rules
14×lower-+.f32
12×lower-+.f64
8×lower-fma.f64
8×lower-fma.f32
6×lower-*.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0715
0815
11315
21515
01514
Stop Event
1×iter limit
1×saturated
1×iter limit
Calls
Call 1
Inputs
#s(approx (+ (+ (* x x) y) y) (+.f64 y y))
(+.f64 y y)
y
Outputs
#s(approx (+ (+ (* x x) y) y) (+.f64 y y))
#s(approx (+ (+ (* x x) y) y) (*.f64 #s(literal 2 binary64) y))
(+.f64 y y)
(*.f64 #s(literal 2 binary64) y)
y

localize28.0ms (1.1%)

Memory
-36.7MiB live, 42.1MiB allocated
Localize:

Found 2 expressions of interest:

NewMetricScoreProgram
accuracy0
(+.f64 y y)
accuracy33.07718822209902
#s(approx (+ (+ (* x x) y) y) (+.f64 y y))
Samples
14.0ms256×0valid
Compiler

Compiled 13 to 8 computations (38.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 8.0ms
ival-add: 5.0ms (64.7% of total)
ival-mult: 3.0ms (38.8% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series3.0ms (0.1%)

Memory
6.8MiB live, 6.8MiB allocated
Counts
2 → 36
Calls
Call 1
Inputs
#s(alt #s(approx (+ (+ (* x x) y) y) (+.f64 y y)) (patch #s(approx (+ (+ (* x x) y) y) (+.f64 y y)) #<representation binary64>) () ())
#s(alt (+.f64 y y) (patch (+.f64 y y) #<representation binary64>) () ())
Outputs
#s(alt (pow x 2) (taylor 0 y) (#s(alt #s(approx (+ (+ (* x x) y) y) (+.f64 y y)) (patch #s(approx (+ (+ (* x x) y) y) (+.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (+ (* 2 y) (pow x 2)) (taylor 0 y) (#s(alt #s(approx (+ (+ (* x x) y) y) (+.f64 y y)) (patch #s(approx (+ (+ (* x x) y) y) (+.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (+ (* 2 y) (pow x 2)) (taylor 0 y) (#s(alt #s(approx (+ (+ (* x x) y) y) (+.f64 y y)) (patch #s(approx (+ (+ (* x x) y) y) (+.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (+ (* 2 y) (pow x 2)) (taylor 0 y) (#s(alt #s(approx (+ (+ (* x x) y) y) (+.f64 y y)) (patch #s(approx (+ (+ (* x x) y) y) (+.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (* 2 y) (taylor 0 y) (#s(alt (+.f64 y y) (patch (+.f64 y y) #<representation binary64>) () ())) ())
#s(alt (* 2 y) (taylor 0 y) (#s(alt (+.f64 y y) (patch (+.f64 y y) #<representation binary64>) () ())) ())
#s(alt (* 2 y) (taylor 0 y) (#s(alt (+.f64 y y) (patch (+.f64 y y) #<representation binary64>) () ())) ())
#s(alt (* 2 y) (taylor 0 y) (#s(alt (+.f64 y y) (patch (+.f64 y y) #<representation binary64>) () ())) ())
#s(alt (* 2 y) (taylor inf y) (#s(alt #s(approx (+ (+ (* x x) y) y) (+.f64 y y)) (patch #s(approx (+ (+ (* x x) y) y) (+.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (* y (+ 2 (/ (pow x 2) y))) (taylor inf y) (#s(alt #s(approx (+ (+ (* x x) y) y) (+.f64 y y)) (patch #s(approx (+ (+ (* x x) y) y) (+.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (* y (+ 2 (/ (pow x 2) y))) (taylor inf y) (#s(alt #s(approx (+ (+ (* x x) y) y) (+.f64 y y)) (patch #s(approx (+ (+ (* x x) y) y) (+.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (* y (+ 2 (/ (pow x 2) y))) (taylor inf y) (#s(alt #s(approx (+ (+ (* x x) y) y) (+.f64 y y)) (patch #s(approx (+ (+ (* x x) y) y) (+.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (* 2 y) (taylor inf y) (#s(alt (+.f64 y y) (patch (+.f64 y y) #<representation binary64>) () ())) ())
#s(alt (* 2 y) (taylor inf y) (#s(alt (+.f64 y y) (patch (+.f64 y y) #<representation binary64>) () ())) ())
#s(alt (* 2 y) (taylor inf y) (#s(alt (+.f64 y y) (patch (+.f64 y y) #<representation binary64>) () ())) ())
#s(alt (* 2 y) (taylor inf y) (#s(alt (+.f64 y y) (patch (+.f64 y y) #<representation binary64>) () ())) ())
#s(alt (* 2 y) (taylor -inf y) (#s(alt #s(approx (+ (+ (* x x) y) y) (+.f64 y y)) (patch #s(approx (+ (+ (* x x) y) y) (+.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (- (* -1 (/ (pow x 2) y)) 2))) (taylor -inf y) (#s(alt #s(approx (+ (+ (* x x) y) y) (+.f64 y y)) (patch #s(approx (+ (+ (* x x) y) y) (+.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (- (* -1 (/ (pow x 2) y)) 2))) (taylor -inf y) (#s(alt #s(approx (+ (+ (* x x) y) y) (+.f64 y y)) (patch #s(approx (+ (+ (* x x) y) y) (+.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (- (* -1 (/ (pow x 2) y)) 2))) (taylor -inf y) (#s(alt #s(approx (+ (+ (* x x) y) y) (+.f64 y y)) (patch #s(approx (+ (+ (* x x) y) y) (+.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (* 2 y) (taylor -inf y) (#s(alt (+.f64 y y) (patch (+.f64 y y) #<representation binary64>) () ())) ())
#s(alt (* 2 y) (taylor -inf y) (#s(alt (+.f64 y y) (patch (+.f64 y y) #<representation binary64>) () ())) ())
#s(alt (* 2 y) (taylor -inf y) (#s(alt (+.f64 y y) (patch (+.f64 y y) #<representation binary64>) () ())) ())
#s(alt (* 2 y) (taylor -inf y) (#s(alt (+.f64 y y) (patch (+.f64 y y) #<representation binary64>) () ())) ())
#s(alt (* 2 y) (taylor 0 x) (#s(alt #s(approx (+ (+ (* x x) y) y) (+.f64 y y)) (patch #s(approx (+ (+ (* x x) y) y) (+.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (+ (* 2 y) (pow x 2)) (taylor 0 x) (#s(alt #s(approx (+ (+ (* x x) y) y) (+.f64 y y)) (patch #s(approx (+ (+ (* x x) y) y) (+.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (+ (* 2 y) (pow x 2)) (taylor 0 x) (#s(alt #s(approx (+ (+ (* x x) y) y) (+.f64 y y)) (patch #s(approx (+ (+ (* x x) y) y) (+.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (+ (* 2 y) (pow x 2)) (taylor 0 x) (#s(alt #s(approx (+ (+ (* x x) y) y) (+.f64 y y)) (patch #s(approx (+ (+ (* x x) y) y) (+.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor inf x) (#s(alt #s(approx (+ (+ (* x x) y) y) (+.f64 y y)) (patch #s(approx (+ (+ (* x x) y) y) (+.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (* 2 (/ y (pow x 2))))) (taylor inf x) (#s(alt #s(approx (+ (+ (* x x) y) y) (+.f64 y y)) (patch #s(approx (+ (+ (* x x) y) y) (+.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (* 2 (/ y (pow x 2))))) (taylor inf x) (#s(alt #s(approx (+ (+ (* x x) y) y) (+.f64 y y)) (patch #s(approx (+ (+ (* x x) y) y) (+.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (* 2 (/ y (pow x 2))))) (taylor inf x) (#s(alt #s(approx (+ (+ (* x x) y) y) (+.f64 y y)) (patch #s(approx (+ (+ (* x x) y) y) (+.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt #s(approx (+ (+ (* x x) y) y) (+.f64 y y)) (patch #s(approx (+ (+ (* x x) y) y) (+.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (* 2 (/ y (pow x 2))))) (taylor -inf x) (#s(alt #s(approx (+ (+ (* x x) y) y) (+.f64 y y)) (patch #s(approx (+ (+ (* x x) y) y) (+.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (* 2 (/ y (pow x 2))))) (taylor -inf x) (#s(alt #s(approx (+ (+ (* x x) y) y) (+.f64 y y)) (patch #s(approx (+ (+ (* x x) y) y) (+.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (* 2 (/ y (pow x 2))))) (taylor -inf x) (#s(alt #s(approx (+ (+ (* x x) y) y) (+.f64 y y)) (patch #s(approx (+ (+ (* x x) y) y) (+.f64 y y)) #<representation binary64>) () ())) ())
Calls

6 calls:

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

simplify94.0ms (3.6%)

Memory
15.5MiB live, 147.9MiB allocated
Algorithm
1×egg-herbie
Rules
3 234×lower-fma.f64
3 234×lower-fma.f32
3 064×lower-*.f64
3 064×lower-*.f32
1 974×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
019180
153180
2130180
3426180
41329180
53258180
66178180
08055162
Stop Event
1×iter limit
1×node limit
Counts
36 → 36
Calls
Call 1
Inputs
(pow x 2)
(+ (* 2 y) (pow x 2))
(+ (* 2 y) (pow x 2))
(+ (* 2 y) (pow x 2))
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* y (+ 2 (/ (pow x 2) y)))
(* y (+ 2 (/ (pow x 2) y)))
(* y (+ 2 (/ (pow x 2) y)))
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* -1 (* y (- (* -1 (/ (pow x 2) y)) 2)))
(* -1 (* y (- (* -1 (/ (pow x 2) y)) 2)))
(* -1 (* y (- (* -1 (/ (pow x 2) y)) 2)))
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(+ (* 2 y) (pow x 2))
(+ (* 2 y) (pow x 2))
(+ (* 2 y) (pow x 2))
(pow x 2)
(* (pow x 2) (+ 1 (* 2 (/ y (pow x 2)))))
(* (pow x 2) (+ 1 (* 2 (/ y (pow x 2)))))
(* (pow x 2) (+ 1 (* 2 (/ y (pow x 2)))))
(pow x 2)
(* (pow x 2) (+ 1 (* 2 (/ y (pow x 2)))))
(* (pow x 2) (+ 1 (* 2 (/ y (pow x 2)))))
(* (pow x 2) (+ 1 (* 2 (/ y (pow x 2)))))
Outputs
(pow x 2)
(*.f64 x x)
(+ (* 2 y) (pow x 2))
(fma.f64 y #s(literal 2 binary64) (*.f64 x x))
(+ (* 2 y) (pow x 2))
(fma.f64 y #s(literal 2 binary64) (*.f64 x x))
(+ (* 2 y) (pow x 2))
(fma.f64 y #s(literal 2 binary64) (*.f64 x x))
(* 2 y)
(*.f64 y #s(literal 2 binary64))
(* 2 y)
(*.f64 y #s(literal 2 binary64))
(* 2 y)
(*.f64 y #s(literal 2 binary64))
(* 2 y)
(*.f64 y #s(literal 2 binary64))
(* 2 y)
(*.f64 y #s(literal 2 binary64))
(* y (+ 2 (/ (pow x 2) y)))
(fma.f64 y #s(literal 2 binary64) (*.f64 x x))
(* y (+ 2 (/ (pow x 2) y)))
(fma.f64 y #s(literal 2 binary64) (*.f64 x x))
(* y (+ 2 (/ (pow x 2) y)))
(fma.f64 y #s(literal 2 binary64) (*.f64 x x))
(* 2 y)
(*.f64 y #s(literal 2 binary64))
(* 2 y)
(*.f64 y #s(literal 2 binary64))
(* 2 y)
(*.f64 y #s(literal 2 binary64))
(* 2 y)
(*.f64 y #s(literal 2 binary64))
(* 2 y)
(*.f64 y #s(literal 2 binary64))
(* -1 (* y (- (* -1 (/ (pow x 2) y)) 2)))
(fma.f64 y #s(literal 2 binary64) (*.f64 x x))
(* -1 (* y (- (* -1 (/ (pow x 2) y)) 2)))
(fma.f64 y #s(literal 2 binary64) (*.f64 x x))
(* -1 (* y (- (* -1 (/ (pow x 2) y)) 2)))
(fma.f64 y #s(literal 2 binary64) (*.f64 x x))
(* 2 y)
(*.f64 y #s(literal 2 binary64))
(* 2 y)
(*.f64 y #s(literal 2 binary64))
(* 2 y)
(*.f64 y #s(literal 2 binary64))
(* 2 y)
(*.f64 y #s(literal 2 binary64))
(* 2 y)
(*.f64 y #s(literal 2 binary64))
(+ (* 2 y) (pow x 2))
(fma.f64 y #s(literal 2 binary64) (*.f64 x x))
(+ (* 2 y) (pow x 2))
(fma.f64 y #s(literal 2 binary64) (*.f64 x x))
(+ (* 2 y) (pow x 2))
(fma.f64 y #s(literal 2 binary64) (*.f64 x x))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* 2 (/ y (pow x 2)))))
(fma.f64 y #s(literal 2 binary64) (*.f64 x x))
(* (pow x 2) (+ 1 (* 2 (/ y (pow x 2)))))
(fma.f64 y #s(literal 2 binary64) (*.f64 x x))
(* (pow x 2) (+ 1 (* 2 (/ y (pow x 2)))))
(fma.f64 y #s(literal 2 binary64) (*.f64 x x))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* 2 (/ y (pow x 2)))))
(fma.f64 y #s(literal 2 binary64) (*.f64 x x))
(* (pow x 2) (+ 1 (* 2 (/ y (pow x 2)))))
(fma.f64 y #s(literal 2 binary64) (*.f64 x x))
(* (pow x 2) (+ 1 (* 2 (/ y (pow x 2)))))
(fma.f64 y #s(literal 2 binary64) (*.f64 x x))

rewrite46.0ms (1.8%)

Memory
-22.3MiB live, 55.3MiB allocated
Rules
188×lower-fma.f64
188×lower-fma.f32
170×lower-*.f64
170×lower-*.f32
150×lower-/.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0714
0814
14314
037613
Stop Event
1×iter limit
1×iter limit
1×iter limit
1×unsound
1×iter limit
Counts
2 → 12
Calls
Call 1
Inputs
#s(approx (+ (+ (* x x) y) y) (+.f64 y y))
(+.f64 y y)
Outputs
#s(approx (+ (+ (* x x) y) y) (*.f64 #s(literal 2 binary64) y))
(*.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) #s(literal 0 binary64)))
(*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal 0 binary64))))
(*.f64 #s(literal 2 binary64) y)
(*.f64 y #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y y #s(literal 0 binary64)) (*.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) y))
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (fma.f64 y y #s(literal 0 binary64))))
(/.f64 #s(literal 0 binary64) #s(literal 0 binary64))
(/.f64 (*.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64))) (fma.f64 y y #s(literal 0 binary64)))
(-.f64 (/.f64 (*.f64 y y) #s(literal 0 binary64)) (/.f64 (*.f64 y y) #s(literal 0 binary64)))
(+.f64 y y)

eval4.0ms (0.2%)

Memory
13.7MiB live, 13.8MiB allocated
Compiler

Compiled 304 to 44 computations (85.5% saved)

prune4.0ms (0.2%)

Memory
14.8MiB live, 14.8MiB allocated
Pruning

5 alts after pruning (0 fresh and 5 done)

PrunedKeptTotal
New48048
Fresh000
Picked011
Done044
Total48553
Accuracy
100.0%
Counts
53 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓100.0%
(fma.f64 y #s(literal 2 binary64) (*.f64 x x))
✓100.0%
(+.f64 (fma.f64 x x y) y)
✓61.4%
(+.f64 #s(approx (+ (* x x) y) (*.f64 x x)) y)
✓48.3%
#s(approx (+ (+ (* x x) y) y) (+.f64 y y))
✓54.3%
#s(approx (+ (+ (* x x) y) y) (*.f64 x x))
Compiler

Compiled 63 to 38 computations (39.7% saved)

regimes13.0ms (0.5%)

Memory
-1.9MiB live, 37.2MiB allocated
Counts
7 → 1
Calls
Call 1
Inputs
#s(approx (+ (+ (* x x) y) y) (+.f64 y y))
#s(approx (+ (+ (* x x) y) y) (*.f64 x x))
#s(approx (+ (+ (* x x) y) y) (*.f64 y #s(literal 2 binary64)))
(+.f64 #s(approx (+ (* x x) y) (*.f64 x x)) y)
(+.f64 (fma.f64 x x y) y)
(+.f64 (+.f64 (*.f64 x x) y) y)
(fma.f64 y #s(literal 2 binary64) (*.f64 x x))
Outputs
(+.f64 (fma.f64 x x y) y)
Calls

4 calls:

4.0ms
(*.f64 x x)
3.0ms
y
3.0ms
x
3.0ms
(+.f64 (+.f64 (*.f64 x x) y) y)
Results
AccuracySegmentsBranch
100.0%1x
100.0%1y
100.0%1(+.f64 (+.f64 (*.f64 x x) y) y)
100.0%1(*.f64 x x)
Compiler

Compiled 12 to 12 computations (0% saved)

regimes13.0ms (0.5%)

Memory
-11.0MiB live, 33.2MiB allocated
Counts
4 → 2
Calls
Call 1
Inputs
#s(approx (+ (+ (* x x) y) y) (+.f64 y y))
#s(approx (+ (+ (* x x) y) y) (*.f64 x x))
#s(approx (+ (+ (* x x) y) y) (*.f64 y #s(literal 2 binary64)))
(+.f64 #s(approx (+ (* x x) y) (*.f64 x x)) y)
Outputs
#s(approx (+ (+ (* x x) y) y) (+.f64 y y))
(+.f64 #s(approx (+ (* x x) y) (*.f64 x x)) y)
Calls

4 calls:

6.0ms
(*.f64 x x)
2.0ms
y
2.0ms
x
2.0ms
(+.f64 (+.f64 (*.f64 x x) y) y)
Results
AccuracySegmentsBranch
90.6%2x
67.9%3y
86.1%2(+.f64 (+.f64 (*.f64 x x) y) y)
90.6%2(*.f64 x x)
Compiler

Compiled 12 to 12 computations (0% saved)

regimes4.0ms (0.1%)

Memory
10.1MiB live, 10.1MiB allocated
Counts
3 → 2
Calls
Call 1
Inputs
#s(approx (+ (+ (* x x) y) y) (+.f64 y y))
#s(approx (+ (+ (* x x) y) y) (*.f64 x x))
#s(approx (+ (+ (* x x) y) y) (*.f64 y #s(literal 2 binary64)))
Outputs
#s(approx (+ (+ (* x x) y) y) (+.f64 y y))
#s(approx (+ (+ (* x x) y) y) (*.f64 x x))
Calls

2 calls:

2.0ms
x
2.0ms
(*.f64 x x)
Results
AccuracySegmentsBranch
89.0%2x
89.0%2(*.f64 x x)
Compiler

Compiled 4 to 5 computations (-25% saved)

regimes112.0ms (4.3%)

Memory
-26.0MiB live, 13.3MiB allocated
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

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

4 calls:

108.0ms
(*.f64 x x)
1.0ms
x
1.0ms
y
1.0ms
(+.f64 (+.f64 (*.f64 x x) y) y)
Results
AccuracySegmentsBranch
48.3%1y
48.3%1(+.f64 (+.f64 (*.f64 x x) y) y)
48.3%1x
48.3%1(*.f64 x x)
Compiler

Compiled 12 to 12 computations (0% saved)

bsearch8.0ms (0.3%)

Memory
14.9MiB live, 14.9MiB allocated
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
7.0ms
1.7268271975128098e-137
1.8736585359281827e-135
Samples
3.0ms112×0valid
Compiler

Compiled 66 to 80 computations (-21.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 1.0ms
ival-add: 1.0ms (80.9% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch12.0ms (0.5%)

Memory
-10.5MiB live, 28.7MiB allocated
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
11.0ms
2.0278618714685535e-88
2.155705536068753e-76
Samples
5.0ms160×0valid
Compiler

Compiled 70 to 100 computations (-42.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 2.0ms
ival-add: 2.0ms (118.9% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

simplify25.0ms (0.9%)

Memory
15.0MiB live, 54.1MiB allocated
Algorithm
1×egg-herbie
Rules
4×+-commutative-binary64-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01973
12173
Stop Event
1×saturated
Calls
Call 1
Inputs
(+.f64 (fma.f64 x x y) y)
(if (<=.f64 (*.f64 x x) #s(literal 3027886312303931/1636695303948070935006594848413799576108321023021532394741645684048066898202337277441635046162952078575443342063780035504608628272942696526664263794688 binary64)) #s(approx (+ (+ (* x x) y) y) (+.f64 y y)) (+.f64 #s(approx (+ (* x x) y) (*.f64 x x)) y))
(if (<=.f64 (*.f64 x x) #s(literal 1026666132072581/8148143905337944345073782753637512644205873574663745002544561797417525199053346824733589504 binary64)) #s(approx (+ (+ (* x x) y) y) (+.f64 y y)) #s(approx (+ (+ (* x x) y) y) (*.f64 x x)))
#s(approx (+ (+ (* x x) y) y) (+.f64 y y))
Outputs
(+.f64 (fma.f64 x x y) y)
(if (<=.f64 (*.f64 x x) #s(literal 3027886312303931/1636695303948070935006594848413799576108321023021532394741645684048066898202337277441635046162952078575443342063780035504608628272942696526664263794688 binary64)) #s(approx (+ (+ (* x x) y) y) (+.f64 y y)) (+.f64 #s(approx (+ (* x x) y) (*.f64 x x)) y))
(if (<=.f64 (*.f64 x x) #s(literal 1026666132072581/8148143905337944345073782753637512644205873574663745002544561797417525199053346824733589504 binary64)) #s(approx (+ (+ (* x x) y) y) (+.f64 y y)) #s(approx (+ (+ (* x x) y) y) (*.f64 x x)))
#s(approx (+ (+ (* x x) y) y) (+.f64 y y))

soundness528.0ms (20.3%)

Memory
-11.5MiB live, 297.7MiB allocated
Rules
9 808×lower-fma.f32
9 804×lower-fma.f64
7 306×lower-fma.f64
7 306×lower-fma.f32
4 782×lower-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
027282
180282
2193282
3649282
41930282
53616282
66722282
08178246
0515
0815
13715
231615
3498715
0810313
01560
02160
17260
256260
0807360
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
Compiler

Compiled 82 to 57 computations (30.5% saved)

preprocess126.0ms (4.8%)

Memory
-10.7MiB live, 120.9MiB allocated
Remove

(abs x)

Compiler

Compiled 120 to 60 computations (50% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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