Data.Number.Erf:$dmerfcx from erf-2.0.0.0

Time bar (total: 27.6s)

start0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Algorithm
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 8 to 7 computations (12.5% saved)

sample1.0s (3.7%)

Memory
10.4MiB live, 827.0MiB allocated
Samples
692.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 340.0ms
ival-mult: 244.0ms (71.8% of total)
ival-exp: 87.0ms (25.6% of total)
ival-true: 6.0ms (1.8% of total)
ival-assert: 3.0ms (0.9% of total)
Bogosity

explain90.0ms (0.3%)

Memory
7.3MiB live, 94.6MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-y
00-0-(exp.f64 (*.f64 y y))
00-0-(*.f64 y y)
00-0-(*.f64 x (exp.f64 (*.f64 y y)))
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
23.0ms512×0valid
Compiler

Compiled 42 to 19 computations (54.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 11.0ms
ival-mult: 7.0ms (61.4% of total)
ival-exp: 4.0ms (35.1% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess59.0ms (0.2%)

Memory
-13.2MiB live, 58.5MiB allocated
Algorithm
egg-herbie
Rules
88×exp-prod
64×distribute-lft-neg-in
64×div-sub
60×associate-*r*
54×distribute-neg-frac2
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01532
14932
29932
321632
436232
551732
660332
764032
867432
968132
1068532
1168632
056
086
1116
0116
Stop Event
iter limit
saturated
iter limit
saturated
Calls
Call 1
Inputs
(*.f64 x (exp.f64 (*.f64 y y)))
Outputs
(*.f64 x (exp.f64 (*.f64 y y)))
(*.f64 (exp.f64 (*.f64 y y)) x)
Symmetry

(abs y)

(negabs x)

Compiler

Compiled 8 to 5 computations (37.5% saved)

eval0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Compiler

Compiled 2 to 2 computations (0% saved)

prune1.0ms (0%)

Memory
1.3MiB live, 1.3MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(*.f64 x (exp.f64 (*.f64 y y)))
Compiler

Compiled 8 to 5 computations (37.5% saved)

simplify3.0ms (0%)

Memory
4.5MiB live, 4.5MiB allocated
Algorithm
egg-herbie
Localize:

Found 3 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 y y)
cost-diff0
(exp.f64 (*.f64 y y))
cost-diff0
(*.f64 x (exp.f64 (*.f64 y y)))
Rules
lower-*.f32
lift-*.f64
lower-exp.f32
*-commutative
lift-exp.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0515
0815
11115
01115
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(*.f64 x (exp.f64 (*.f64 y y)))
x
(exp.f64 (*.f64 y y))
(*.f64 y y)
y
Outputs
(*.f64 x (exp.f64 (*.f64 y y)))
(*.f64 (exp.f64 (*.f64 y y)) x)
x
(exp.f64 (*.f64 y y))
(*.f64 y y)
y

localize59.0ms (0.2%)

Memory
-42.5MiB live, 18.3MiB allocated
Localize:

Found 3 expressions of interest:

NewMetricScoreProgram
accuracy0
(*.f64 y y)
accuracy0
(exp.f64 (*.f64 y y))
accuracy0.00390625
(*.f64 x (exp.f64 (*.f64 y y)))
Samples
54.0ms256×0valid
Compiler

Compiled 17 to 7 computations (58.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 49.0ms
ival-mult: 46.0ms (94.7% of total)
ival-exp: 2.0ms (4.1% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series4.0ms (0%)

Memory
3.0MiB live, 3.0MiB allocated
Counts
3 → 48
Calls
Call 1
Inputs
#s(alt (*.f64 x (exp.f64 (*.f64 y y))) (patch (*.f64 x (exp.f64 (*.f64 y y))) #<representation binary64>) () ())
#s(alt (exp.f64 (*.f64 y y)) (patch (exp.f64 (*.f64 y y)) #<representation binary64>) () ())
#s(alt (*.f64 y y) (patch (*.f64 y y) #<representation binary64>) () ())
Outputs
#s(alt (* x (exp (pow y 2))) (taylor 0 x) (#s(alt (*.f64 x (exp.f64 (*.f64 y y))) (patch (*.f64 x (exp.f64 (*.f64 y y))) #<representation binary64>) () ())) ())
#s(alt (* x (exp (pow y 2))) (taylor 0 x) (#s(alt (*.f64 x (exp.f64 (*.f64 y y))) (patch (*.f64 x (exp.f64 (*.f64 y y))) #<representation binary64>) () ())) ())
#s(alt (* x (exp (pow y 2))) (taylor 0 x) (#s(alt (*.f64 x (exp.f64 (*.f64 y y))) (patch (*.f64 x (exp.f64 (*.f64 y y))) #<representation binary64>) () ())) ())
#s(alt (* x (exp (pow y 2))) (taylor 0 x) (#s(alt (*.f64 x (exp.f64 (*.f64 y y))) (patch (*.f64 x (exp.f64 (*.f64 y y))) #<representation binary64>) () ())) ())
#s(alt (* x (exp (pow y 2))) (taylor inf x) (#s(alt (*.f64 x (exp.f64 (*.f64 y y))) (patch (*.f64 x (exp.f64 (*.f64 y y))) #<representation binary64>) () ())) ())
#s(alt (* x (exp (pow y 2))) (taylor inf x) (#s(alt (*.f64 x (exp.f64 (*.f64 y y))) (patch (*.f64 x (exp.f64 (*.f64 y y))) #<representation binary64>) () ())) ())
#s(alt (* x (exp (pow y 2))) (taylor inf x) (#s(alt (*.f64 x (exp.f64 (*.f64 y y))) (patch (*.f64 x (exp.f64 (*.f64 y y))) #<representation binary64>) () ())) ())
#s(alt (* x (exp (pow y 2))) (taylor inf x) (#s(alt (*.f64 x (exp.f64 (*.f64 y y))) (patch (*.f64 x (exp.f64 (*.f64 y y))) #<representation binary64>) () ())) ())
#s(alt (* x (exp (pow y 2))) (taylor -inf x) (#s(alt (*.f64 x (exp.f64 (*.f64 y y))) (patch (*.f64 x (exp.f64 (*.f64 y y))) #<representation binary64>) () ())) ())
#s(alt (* x (exp (pow y 2))) (taylor -inf x) (#s(alt (*.f64 x (exp.f64 (*.f64 y y))) (patch (*.f64 x (exp.f64 (*.f64 y y))) #<representation binary64>) () ())) ())
#s(alt (* x (exp (pow y 2))) (taylor -inf x) (#s(alt (*.f64 x (exp.f64 (*.f64 y y))) (patch (*.f64 x (exp.f64 (*.f64 y y))) #<representation binary64>) () ())) ())
#s(alt (* x (exp (pow y 2))) (taylor -inf x) (#s(alt (*.f64 x (exp.f64 (*.f64 y y))) (patch (*.f64 x (exp.f64 (*.f64 y y))) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 y) (#s(alt (*.f64 x (exp.f64 (*.f64 y y))) (patch (*.f64 x (exp.f64 (*.f64 y y))) #<representation binary64>) () ())) ())
#s(alt (+ x (* x (pow y 2))) (taylor 0 y) (#s(alt (*.f64 x (exp.f64 (*.f64 y y))) (patch (*.f64 x (exp.f64 (*.f64 y y))) #<representation binary64>) () ())) ())
#s(alt (+ x (* (pow y 2) (+ x (* 1/2 (* x (pow y 2)))))) (taylor 0 y) (#s(alt (*.f64 x (exp.f64 (*.f64 y y))) (patch (*.f64 x (exp.f64 (*.f64 y y))) #<representation binary64>) () ())) ())
#s(alt (+ x (* (pow y 2) (+ x (* (pow y 2) (+ (* 1/6 (* x (pow y 2))) (* 1/2 x)))))) (taylor 0 y) (#s(alt (*.f64 x (exp.f64 (*.f64 y y))) (patch (*.f64 x (exp.f64 (*.f64 y y))) #<representation binary64>) () ())) ())
#s(alt (* x (exp (pow y 2))) (taylor inf y) (#s(alt (*.f64 x (exp.f64 (*.f64 y y))) (patch (*.f64 x (exp.f64 (*.f64 y y))) #<representation binary64>) () ())) ())
#s(alt (* x (exp (pow y 2))) (taylor inf y) (#s(alt (*.f64 x (exp.f64 (*.f64 y y))) (patch (*.f64 x (exp.f64 (*.f64 y y))) #<representation binary64>) () ())) ())
#s(alt (* x (exp (pow y 2))) (taylor inf y) (#s(alt (*.f64 x (exp.f64 (*.f64 y y))) (patch (*.f64 x (exp.f64 (*.f64 y y))) #<representation binary64>) () ())) ())
#s(alt (* x (exp (pow y 2))) (taylor inf y) (#s(alt (*.f64 x (exp.f64 (*.f64 y y))) (patch (*.f64 x (exp.f64 (*.f64 y y))) #<representation binary64>) () ())) ())
#s(alt (* x (exp (pow y 2))) (taylor -inf y) (#s(alt (*.f64 x (exp.f64 (*.f64 y y))) (patch (*.f64 x (exp.f64 (*.f64 y y))) #<representation binary64>) () ())) ())
#s(alt (* x (exp (pow y 2))) (taylor -inf y) (#s(alt (*.f64 x (exp.f64 (*.f64 y y))) (patch (*.f64 x (exp.f64 (*.f64 y y))) #<representation binary64>) () ())) ())
#s(alt (* x (exp (pow y 2))) (taylor -inf y) (#s(alt (*.f64 x (exp.f64 (*.f64 y y))) (patch (*.f64 x (exp.f64 (*.f64 y y))) #<representation binary64>) () ())) ())
#s(alt (* x (exp (pow y 2))) (taylor -inf y) (#s(alt (*.f64 x (exp.f64 (*.f64 y y))) (patch (*.f64 x (exp.f64 (*.f64 y y))) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 y) (#s(alt (exp.f64 (*.f64 y y)) (patch (exp.f64 (*.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (pow y 2)) (taylor 0 y) (#s(alt (exp.f64 (*.f64 y y)) (patch (exp.f64 (*.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* (pow y 2) (+ 1 (* 1/2 (pow y 2))))) (taylor 0 y) (#s(alt (exp.f64 (*.f64 y y)) (patch (exp.f64 (*.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* (pow y 2) (+ 1 (* (pow y 2) (+ 1/2 (* 1/6 (pow y 2))))))) (taylor 0 y) (#s(alt (exp.f64 (*.f64 y y)) (patch (exp.f64 (*.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (exp (pow y 2)) (taylor inf y) (#s(alt (exp.f64 (*.f64 y y)) (patch (exp.f64 (*.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (exp (pow y 2)) (taylor inf y) (#s(alt (exp.f64 (*.f64 y y)) (patch (exp.f64 (*.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (exp (pow y 2)) (taylor inf y) (#s(alt (exp.f64 (*.f64 y y)) (patch (exp.f64 (*.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (exp (pow y 2)) (taylor inf y) (#s(alt (exp.f64 (*.f64 y y)) (patch (exp.f64 (*.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (exp (pow y 2)) (taylor -inf y) (#s(alt (exp.f64 (*.f64 y y)) (patch (exp.f64 (*.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (exp (pow y 2)) (taylor -inf y) (#s(alt (exp.f64 (*.f64 y y)) (patch (exp.f64 (*.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (exp (pow y 2)) (taylor -inf y) (#s(alt (exp.f64 (*.f64 y y)) (patch (exp.f64 (*.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (exp (pow y 2)) (taylor -inf y) (#s(alt (exp.f64 (*.f64 y y)) (patch (exp.f64 (*.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (pow y 2) (taylor 0 y) (#s(alt (*.f64 y y) (patch (*.f64 y y) #<representation binary64>) () ())) ())
#s(alt (pow y 2) (taylor 0 y) (#s(alt (*.f64 y y) (patch (*.f64 y y) #<representation binary64>) () ())) ())
#s(alt (pow y 2) (taylor 0 y) (#s(alt (*.f64 y y) (patch (*.f64 y y) #<representation binary64>) () ())) ())
#s(alt (pow y 2) (taylor 0 y) (#s(alt (*.f64 y y) (patch (*.f64 y y) #<representation binary64>) () ())) ())
#s(alt (pow y 2) (taylor inf y) (#s(alt (*.f64 y y) (patch (*.f64 y y) #<representation binary64>) () ())) ())
#s(alt (pow y 2) (taylor inf y) (#s(alt (*.f64 y y) (patch (*.f64 y y) #<representation binary64>) () ())) ())
#s(alt (pow y 2) (taylor inf y) (#s(alt (*.f64 y y) (patch (*.f64 y y) #<representation binary64>) () ())) ())
#s(alt (pow y 2) (taylor inf y) (#s(alt (*.f64 y y) (patch (*.f64 y y) #<representation binary64>) () ())) ())
#s(alt (pow y 2) (taylor -inf y) (#s(alt (*.f64 y y) (patch (*.f64 y y) #<representation binary64>) () ())) ())
#s(alt (pow y 2) (taylor -inf y) (#s(alt (*.f64 y y) (patch (*.f64 y y) #<representation binary64>) () ())) ())
#s(alt (pow y 2) (taylor -inf y) (#s(alt (*.f64 y y) (patch (*.f64 y y) #<representation binary64>) () ())) ())
#s(alt (pow y 2) (taylor -inf y) (#s(alt (*.f64 y y) (patch (*.f64 y y) #<representation binary64>) () ())) ())
Calls

12 calls:

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

simplify59.0ms (0.2%)

Memory
27.9MiB live, 27.9MiB allocated
Algorithm
egg-herbie
Rules
2 706×lower-fma.f64
2 706×lower-fma.f32
1 166×lower-*.f64
1 166×lower-*.f32
778×associate-*r*
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
033272
195272
2276266
3750264
4989264
51161264
61318264
71436264
81436262
91767262
101800262
111801262
121823262
01823250
Stop Event
iter limit
saturated
Counts
48 → 47
Calls
Call 1
Inputs
(* x (exp (pow y 2)))
(* x (exp (pow y 2)))
(* x (exp (pow y 2)))
(* x (exp (pow y 2)))
(* x (exp (pow y 2)))
(* x (exp (pow y 2)))
(* x (exp (pow y 2)))
(* x (exp (pow y 2)))
(* x (exp (pow y 2)))
(* x (exp (pow y 2)))
(* x (exp (pow y 2)))
(* x (exp (pow y 2)))
x
(+ x (* x (pow y 2)))
(+ x (* (pow y 2) (+ x (* 1/2 (* x (pow y 2))))))
(+ x (* (pow y 2) (+ x (* (pow y 2) (+ (* 1/6 (* x (pow y 2))) (* 1/2 x))))))
(* x (exp (pow y 2)))
(* x (exp (pow y 2)))
(* x (exp (pow y 2)))
(* x (exp (pow y 2)))
(* x (exp (pow y 2)))
(* x (exp (pow y 2)))
(* x (exp (pow y 2)))
(* x (exp (pow y 2)))
1
(+ 1 (pow y 2))
(+ 1 (* (pow y 2) (+ 1 (* 1/2 (pow y 2)))))
(+ 1 (* (pow y 2) (+ 1 (* (pow y 2) (+ 1/2 (* 1/6 (pow y 2)))))))
(exp (pow y 2))
(exp (pow y 2))
(exp (pow y 2))
(exp (pow y 2))
(exp (pow y 2))
(exp (pow y 2))
(exp (pow y 2))
(exp (pow y 2))
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
Outputs
(* x (exp (pow y 2)))
(*.f64 (exp.f64 (*.f64 y y)) x)
(* x (exp (pow y 2)))
(*.f64 (exp.f64 (*.f64 y y)) x)
(* x (exp (pow y 2)))
(*.f64 (exp.f64 (*.f64 y y)) x)
(* x (exp (pow y 2)))
(*.f64 (exp.f64 (*.f64 y y)) x)
(* x (exp (pow y 2)))
(*.f64 (exp.f64 (*.f64 y y)) x)
(* x (exp (pow y 2)))
(*.f64 (exp.f64 (*.f64 y y)) x)
(* x (exp (pow y 2)))
(*.f64 (exp.f64 (*.f64 y y)) x)
(* x (exp (pow y 2)))
(*.f64 (exp.f64 (*.f64 y y)) x)
(* x (exp (pow y 2)))
(*.f64 (exp.f64 (*.f64 y y)) x)
(* x (exp (pow y 2)))
(*.f64 (exp.f64 (*.f64 y y)) x)
(* x (exp (pow y 2)))
(*.f64 (exp.f64 (*.f64 y y)) x)
(* x (exp (pow y 2)))
(*.f64 (exp.f64 (*.f64 y y)) x)
x
(+ x (* x (pow y 2)))
(fma.f64 (*.f64 y y) x x)
(+ x (* (pow y 2) (+ x (* 1/2 (* x (pow y 2))))))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 y y) x) x) (*.f64 y y) x)
(+ x (* (pow y 2) (+ x (* (pow y 2) (+ (* 1/6 (* x (pow y 2))) (* 1/2 x))))))
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)) (*.f64 y y) #s(literal 1 binary64)) x)
(* x (exp (pow y 2)))
(*.f64 (exp.f64 (*.f64 y y)) x)
(* x (exp (pow y 2)))
(*.f64 (exp.f64 (*.f64 y y)) x)
(* x (exp (pow y 2)))
(*.f64 (exp.f64 (*.f64 y y)) x)
(* x (exp (pow y 2)))
(*.f64 (exp.f64 (*.f64 y y)) x)
(* x (exp (pow y 2)))
(*.f64 (exp.f64 (*.f64 y y)) x)
(* x (exp (pow y 2)))
(*.f64 (exp.f64 (*.f64 y y)) x)
(* x (exp (pow y 2)))
(*.f64 (exp.f64 (*.f64 y y)) x)
(* x (exp (pow y 2)))
(*.f64 (exp.f64 (*.f64 y y)) x)
1
#s(literal 1 binary64)
(+ 1 (pow y 2))
(fma.f64 y y #s(literal 1 binary64))
(+ 1 (* (pow y 2) (+ 1 (* 1/2 (pow y 2)))))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y y) #s(literal 1 binary64)) (*.f64 y y) #s(literal 1 binary64))
(+ 1 (* (pow y 2) (+ 1 (* (pow y 2) (+ 1/2 (* 1/6 (pow y 2)))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)) (*.f64 y y) #s(literal 1 binary64))
(exp (pow y 2))
(exp.f64 (*.f64 y y))
(exp (pow y 2))
(exp.f64 (*.f64 y y))
(exp (pow y 2))
(exp.f64 (*.f64 y y))
(exp (pow y 2))
(exp.f64 (*.f64 y y))
(exp (pow y 2))
(exp.f64 (*.f64 y y))
(exp (pow y 2))
(exp.f64 (*.f64 y y))
(exp (pow y 2))
(exp.f64 (*.f64 y y))
(exp (pow y 2))
(exp.f64 (*.f64 y y))
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)

rewrite74.0ms (0.3%)

Memory
1.8MiB live, 39.8MiB allocated
Rules
178×frac-add
148×associate-*r*
134×associate-*l*
108×associate-*r/
102×frac-times
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
0513
0813
11313
22613
36913
42945
026665
Stop Event
iter limit
iter limit
iter limit
unsound
iter limit
Counts
3 → 7
Calls
Call 1
Inputs
(*.f64 x (exp.f64 (*.f64 y y)))
(exp.f64 (*.f64 y y))
(*.f64 y y)
Outputs
(*.f64 (*.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 #s(literal 1 binary64) x))
(*.f64 #s(literal 1 binary64) x)
(*.f64 x #s(literal 1 binary64))
#s(literal 1 binary64)
y
#s(literal 0 binary64)

eval9.0ms (0%)

Memory
-19.8MiB live, 13.8MiB allocated
Compiler

Compiled 393 to 32 computations (91.9% saved)

prune8.0ms (0%)

Memory
19.4MiB live, 19.5MiB allocated
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New48654
Fresh000
Picked011
Done000
Total48755
Accuracy
100.0%
Counts
55 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(*.f64 x (exp.f64 (*.f64 y y)))
98.6%
(*.f64 x (exp.f64 y))
95.6%
(*.f64 x #s(approx (exp (* y y)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)) (*.f64 y y) #s(literal 1 binary64))))
90.8%
(*.f64 x #s(approx (exp (* y y)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y y) #s(literal 1 binary64)) (*.f64 y y) #s(literal 1 binary64))))
80.7%
(*.f64 x #s(approx (exp (* y y)) (fma.f64 y y #s(literal 1 binary64))))
50.2%
(*.f64 x #s(approx (exp (* y y)) #s(literal 1 binary64)))
87.9%
#s(approx (* x (exp (* y y))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 y y) x) x) (*.f64 y y) x))
Compiler

Compiled 156 to 81 computations (48.1% saved)

simplify20.0ms (0.1%)

Memory
-6.8MiB live, 28.3MiB allocated
Algorithm
egg-herbie
Localize:

Found 15 expressions of interest:

NewMetricScoreProgram
cost-diff0
(fma.f64 #s(literal 1/2 binary64) (*.f64 y y) #s(literal 1 binary64))
cost-diff0
(fma.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y y) #s(literal 1 binary64)) (*.f64 y y) #s(literal 1 binary64))
cost-diff0
#s(approx (exp (* y y)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y y) #s(literal 1 binary64)) (*.f64 y y) #s(literal 1 binary64)))
cost-diff0
(*.f64 x #s(approx (exp (* y y)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y y) #s(literal 1 binary64)) (*.f64 y y) #s(literal 1 binary64))))
cost-diff0
(*.f64 (*.f64 y y) x)
cost-diff0
(fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 y y) x) x)
cost-diff0
(fma.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 y y) x) x) (*.f64 y y) x)
cost-diff0
#s(approx (* x (exp (* y y))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 y y) x) x) (*.f64 y y) x))
cost-diff0
(fma.f64 y y #s(literal 1 binary64))
cost-diff0
#s(approx (exp (* y y)) (fma.f64 y y #s(literal 1 binary64)))
cost-diff0
(*.f64 x #s(approx (exp (* y y)) (fma.f64 y y #s(literal 1 binary64))))
cost-diff0
#s(approx (exp (* y y)) #s(literal 1 binary64))
cost-diff0
(*.f64 x #s(approx (exp (* y y)) #s(literal 1 binary64)))
cost-diff0
(exp.f64 y)
cost-diff0
(*.f64 x (exp.f64 y))
Rules
432×lower-*.f32
420×lower-*.f64
406×lower-fma.f32
396×lower-fma.f64
260×associate-*r*
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
023161
039161
166161
2102161
3201161
4374156
5417156
6457156
7457156
0457151
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(*.f64 x (exp.f64 y))
x
(exp.f64 y)
y
(*.f64 x #s(approx (exp (* y y)) #s(literal 1 binary64)))
x
#s(approx (exp (* y y)) #s(literal 1 binary64))
#s(literal 1 binary64)
(*.f64 x #s(approx (exp (* y y)) (fma.f64 y y #s(literal 1 binary64))))
x
#s(approx (exp (* y y)) (fma.f64 y y #s(literal 1 binary64)))
(fma.f64 y y #s(literal 1 binary64))
y
#s(literal 1 binary64)
#s(approx (* x (exp (* y y))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 y y) x) x) (*.f64 y y) x))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 y y) x) x) (*.f64 y y) x)
(fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 y y) x) x)
#s(literal 1/2 binary64)
(*.f64 (*.f64 y y) x)
(*.f64 y y)
y
x
(*.f64 x #s(approx (exp (* y y)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y y) #s(literal 1 binary64)) (*.f64 y y) #s(literal 1 binary64))))
x
#s(approx (exp (* y y)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y y) #s(literal 1 binary64)) (*.f64 y y) #s(literal 1 binary64)))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y y) #s(literal 1 binary64)) (*.f64 y y) #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) (*.f64 y y) #s(literal 1 binary64))
#s(literal 1/2 binary64)
(*.f64 y y)
y
#s(literal 1 binary64)
Outputs
(*.f64 x (exp.f64 y))
(*.f64 (exp.f64 y) x)
x
(exp.f64 y)
y
(*.f64 x #s(approx (exp (* y y)) #s(literal 1 binary64)))
(*.f64 #s(approx (exp (* y y)) #s(literal 1 binary64)) x)
x
#s(approx (exp (* y y)) #s(literal 1 binary64))
#s(literal 1 binary64)
(*.f64 x #s(approx (exp (* y y)) (fma.f64 y y #s(literal 1 binary64))))
(*.f64 #s(approx (exp (* y y)) (fma.f64 y y #s(literal 1 binary64))) x)
x
#s(approx (exp (* y y)) (fma.f64 y y #s(literal 1 binary64)))
(fma.f64 y y #s(literal 1 binary64))
y
#s(literal 1 binary64)
#s(approx (* x (exp (* y y))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 y y) x) x) (*.f64 y y) x))
#s(approx (* x (exp (* y y))) (fma.f64 (fma.f64 (*.f64 (*.f64 y y) x) #s(literal 1/2 binary64) x) (*.f64 y y) x))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 y y) x) x) (*.f64 y y) x)
(fma.f64 (fma.f64 (*.f64 (*.f64 y y) x) #s(literal 1/2 binary64) x) (*.f64 y y) x)
(fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 y y) x) x)
(fma.f64 (*.f64 (*.f64 y y) x) #s(literal 1/2 binary64) x)
#s(literal 1/2 binary64)
(*.f64 (*.f64 y y) x)
(*.f64 y y)
y
x
(*.f64 x #s(approx (exp (* y y)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y y) #s(literal 1 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (exp (* y y)) (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 y y) #s(literal 1 binary64))) x)
x
#s(approx (exp (* y y)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y y) #s(literal 1 binary64)) (*.f64 y y) #s(literal 1 binary64)))
#s(approx (exp (* y y)) (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 y y) #s(literal 1 binary64)))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y y) #s(literal 1 binary64)) (*.f64 y y) #s(literal 1 binary64))
(fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 y y) #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) (*.f64 y y) #s(literal 1 binary64))
(fma.f64 (*.f64 y y) #s(literal 1/2 binary64) #s(literal 1 binary64))
#s(literal 1/2 binary64)
(*.f64 y y)
y
#s(literal 1 binary64)

localize68.0ms (0.2%)

Memory
19.8MiB live, 101.8MiB allocated
Localize:

Found 15 expressions of interest:

NewMetricScoreProgram
accuracy0.00390625
(fma.f64 #s(literal 1/2 binary64) (*.f64 y y) #s(literal 1 binary64))
accuracy0.00390625
(*.f64 x #s(approx (exp (* y y)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y y) #s(literal 1 binary64)) (*.f64 y y) #s(literal 1 binary64))))
accuracy0.060878759768442016
(fma.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y y) #s(literal 1 binary64)) (*.f64 y y) #s(literal 1 binary64))
accuracy8.864032601044
#s(approx (exp (* y y)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y y) #s(literal 1 binary64)) (*.f64 y y) #s(literal 1 binary64)))
accuracy0.00390625
(fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 y y) x) x)
accuracy0.05078125
(fma.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 y y) x) x) (*.f64 y y) x)
accuracy7.76890122442511
#s(approx (* x (exp (* y y))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 y y) x) x) (*.f64 y y) x))
accuracy10.218382040781849
(*.f64 (*.f64 y y) x)
accuracy0
(fma.f64 y y #s(literal 1 binary64))
accuracy0.00390625
(*.f64 x #s(approx (exp (* y y)) (fma.f64 y y #s(literal 1 binary64))))
accuracy16.510680621134973
#s(approx (exp (* y y)) (fma.f64 y y #s(literal 1 binary64)))
accuracy0.00390625
(*.f64 x #s(approx (exp (* y y)) #s(literal 1 binary64)))
accuracy32.08108374321535
#s(approx (exp (* y y)) #s(literal 1 binary64))
accuracy0
(exp.f64 y)
accuracy0.01171875
(*.f64 x (exp.f64 y))
Samples
43.0ms256×0valid
Compiler

Compiled 118 to 21 computations (82.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 30.0ms
ival-add: 14.0ms (47.2% of total)
ival-mult: 11.0ms (37.1% of total)
ival-exp: 4.0ms (13.5% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series19.0ms (0.1%)

Memory
-9.8MiB live, 27.5MiB allocated
Counts
15 → 276
Calls
Call 1
Inputs
#s(alt (*.f64 x (exp.f64 y)) (patch (*.f64 x (exp.f64 y)) #<representation binary64>) () ())
#s(alt (exp.f64 y) (patch (exp.f64 y) #<representation binary64>) () ())
#s(alt (*.f64 x #s(approx (exp (* y y)) #s(literal 1 binary64))) (patch (*.f64 x #s(approx (exp (* y y)) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt #s(approx (exp (* y y)) #s(literal 1 binary64)) (patch #s(approx (exp (* y y)) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (*.f64 x #s(approx (exp (* y y)) (fma.f64 y y #s(literal 1 binary64)))) (patch (*.f64 x #s(approx (exp (* y y)) (fma.f64 y y #s(literal 1 binary64)))) #<representation binary64>) () ())
#s(alt #s(approx (exp (* y y)) (fma.f64 y y #s(literal 1 binary64))) (patch #s(approx (exp (* y y)) (fma.f64 y y #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 y y #s(literal 1 binary64)) (patch (fma.f64 y y #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (* x (exp (* y y))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 y y) x) x) (*.f64 y y) x)) (patch #s(approx (* x (exp (* y y))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 y y) x) x) (*.f64 y y) x)) #<representation binary64>) () ())
#s(alt (fma.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 y y) x) x) (*.f64 y y) x) (patch (fma.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 y y) x) x) (*.f64 y y) x) #<representation binary64>) () ())
#s(alt (fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 y y) x) x) (patch (fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 y y) x) x) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 y y) x) (patch (*.f64 (*.f64 y y) x) #<representation binary64>) () ())
#s(alt (*.f64 x #s(approx (exp (* y y)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y y) #s(literal 1 binary64)) (*.f64 y y) #s(literal 1 binary64)))) (patch (*.f64 x #s(approx (exp (* y y)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y y) #s(literal 1 binary64)) (*.f64 y y) #s(literal 1 binary64)))) #<representation binary64>) () ())
#s(alt #s(approx (exp (* y y)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y y) #s(literal 1 binary64)) (*.f64 y y) #s(literal 1 binary64))) (patch #s(approx (exp (* y y)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y y) #s(literal 1 binary64)) (*.f64 y y) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y y) #s(literal 1 binary64)) (*.f64 y y) #s(literal 1 binary64)) (patch (fma.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y y) #s(literal 1 binary64)) (*.f64 y y) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (fma.f64 #s(literal 1/2 binary64) (*.f64 y y) #s(literal 1 binary64)) (patch (fma.f64 #s(literal 1/2 binary64) (*.f64 y y) #s(literal 1 binary64)) #<representation binary64>) () ())
Outputs
#s(alt (* x (exp y)) (taylor 0 x) (#s(alt (*.f64 x (exp.f64 y)) (patch (*.f64 x (exp.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* x (exp y)) (taylor 0 x) (#s(alt (*.f64 x (exp.f64 y)) (patch (*.f64 x (exp.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* x (exp y)) (taylor 0 x) (#s(alt (*.f64 x (exp.f64 y)) (patch (*.f64 x (exp.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* x (exp y)) (taylor 0 x) (#s(alt (*.f64 x (exp.f64 y)) (patch (*.f64 x (exp.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* x (exp y)) (taylor inf x) (#s(alt (*.f64 x (exp.f64 y)) (patch (*.f64 x (exp.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* x (exp y)) (taylor inf x) (#s(alt (*.f64 x (exp.f64 y)) (patch (*.f64 x (exp.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* x (exp y)) (taylor inf x) (#s(alt (*.f64 x (exp.f64 y)) (patch (*.f64 x (exp.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* x (exp y)) (taylor inf x) (#s(alt (*.f64 x (exp.f64 y)) (patch (*.f64 x (exp.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* x (exp y)) (taylor -inf x) (#s(alt (*.f64 x (exp.f64 y)) (patch (*.f64 x (exp.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* x (exp y)) (taylor -inf x) (#s(alt (*.f64 x (exp.f64 y)) (patch (*.f64 x (exp.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* x (exp y)) (taylor -inf x) (#s(alt (*.f64 x (exp.f64 y)) (patch (*.f64 x (exp.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* x (exp y)) (taylor -inf x) (#s(alt (*.f64 x (exp.f64 y)) (patch (*.f64 x (exp.f64 y)) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 y) (#s(alt (*.f64 x (exp.f64 y)) (patch (*.f64 x (exp.f64 y)) #<representation binary64>) () ())) ())
#s(alt (+ x (* x y)) (taylor 0 y) (#s(alt (*.f64 x (exp.f64 y)) (patch (*.f64 x (exp.f64 y)) #<representation binary64>) () ())) ())
#s(alt (+ x (* y (+ x (* 1/2 (* x y))))) (taylor 0 y) (#s(alt (*.f64 x (exp.f64 y)) (patch (*.f64 x (exp.f64 y)) #<representation binary64>) () ())) ())
#s(alt (+ x (* y (+ x (* y (+ (* 1/6 (* x y)) (* 1/2 x)))))) (taylor 0 y) (#s(alt (*.f64 x (exp.f64 y)) (patch (*.f64 x (exp.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* x (exp y)) (taylor inf y) (#s(alt (*.f64 x (exp.f64 y)) (patch (*.f64 x (exp.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* x (exp y)) (taylor inf y) (#s(alt (*.f64 x (exp.f64 y)) (patch (*.f64 x (exp.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* x (exp y)) (taylor inf y) (#s(alt (*.f64 x (exp.f64 y)) (patch (*.f64 x (exp.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* x (exp y)) (taylor inf y) (#s(alt (*.f64 x (exp.f64 y)) (patch (*.f64 x (exp.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* x (exp y)) (taylor -inf y) (#s(alt (*.f64 x (exp.f64 y)) (patch (*.f64 x (exp.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* x (exp y)) (taylor -inf y) (#s(alt (*.f64 x (exp.f64 y)) (patch (*.f64 x (exp.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* x (exp y)) (taylor -inf y) (#s(alt (*.f64 x (exp.f64 y)) (patch (*.f64 x (exp.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* x (exp y)) (taylor -inf y) (#s(alt (*.f64 x (exp.f64 y)) (patch (*.f64 x (exp.f64 y)) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 y) (#s(alt (exp.f64 y) (patch (exp.f64 y) #<representation binary64>) () ())) ())
#s(alt (+ 1 y) (taylor 0 y) (#s(alt (exp.f64 y) (patch (exp.f64 y) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* y (+ 1 (* 1/2 y)))) (taylor 0 y) (#s(alt (exp.f64 y) (patch (exp.f64 y) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* y (+ 1 (* y (+ 1/2 (* 1/6 y)))))) (taylor 0 y) (#s(alt (exp.f64 y) (patch (exp.f64 y) #<representation binary64>) () ())) ())
#s(alt (exp y) (taylor inf y) (#s(alt (exp.f64 y) (patch (exp.f64 y) #<representation binary64>) () ())) ())
#s(alt (exp y) (taylor inf y) (#s(alt (exp.f64 y) (patch (exp.f64 y) #<representation binary64>) () ())) ())
#s(alt (exp y) (taylor inf y) (#s(alt (exp.f64 y) (patch (exp.f64 y) #<representation binary64>) () ())) ())
#s(alt (exp y) (taylor inf y) (#s(alt (exp.f64 y) (patch (exp.f64 y) #<representation binary64>) () ())) ())
#s(alt (exp y) (taylor -inf y) (#s(alt (exp.f64 y) (patch (exp.f64 y) #<representation binary64>) () ())) ())
#s(alt (exp y) (taylor -inf y) (#s(alt (exp.f64 y) (patch (exp.f64 y) #<representation binary64>) () ())) ())
#s(alt (exp y) (taylor -inf y) (#s(alt (exp.f64 y) (patch (exp.f64 y) #<representation binary64>) () ())) ())
#s(alt (exp y) (taylor -inf y) (#s(alt (exp.f64 y) (patch (exp.f64 y) #<representation binary64>) () ())) ())
#s(alt (* x (exp (pow y 2))) (taylor 0 x) (#s(alt (*.f64 x #s(approx (exp (* y y)) #s(literal 1 binary64))) (patch (*.f64 x #s(approx (exp (* y y)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (exp (pow y 2))) (taylor 0 x) (#s(alt (*.f64 x #s(approx (exp (* y y)) #s(literal 1 binary64))) (patch (*.f64 x #s(approx (exp (* y y)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (exp (pow y 2))) (taylor 0 x) (#s(alt (*.f64 x #s(approx (exp (* y y)) #s(literal 1 binary64))) (patch (*.f64 x #s(approx (exp (* y y)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (exp (pow y 2))) (taylor 0 x) (#s(alt (*.f64 x #s(approx (exp (* y y)) #s(literal 1 binary64))) (patch (*.f64 x #s(approx (exp (* y y)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (exp (pow y 2))) (taylor inf x) (#s(alt (*.f64 x #s(approx (exp (* y y)) #s(literal 1 binary64))) (patch (*.f64 x #s(approx (exp (* y y)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (exp (pow y 2))) (taylor inf x) (#s(alt (*.f64 x #s(approx (exp (* y y)) #s(literal 1 binary64))) (patch (*.f64 x #s(approx (exp (* y y)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (exp (pow y 2))) (taylor inf x) (#s(alt (*.f64 x #s(approx (exp (* y y)) #s(literal 1 binary64))) (patch (*.f64 x #s(approx (exp (* y y)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (exp (pow y 2))) (taylor inf x) (#s(alt (*.f64 x #s(approx (exp (* y y)) #s(literal 1 binary64))) (patch (*.f64 x #s(approx (exp (* y y)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (exp (pow y 2))) (taylor -inf x) (#s(alt (*.f64 x #s(approx (exp (* y y)) #s(literal 1 binary64))) (patch (*.f64 x #s(approx (exp (* y y)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (exp (pow y 2))) (taylor -inf x) (#s(alt (*.f64 x #s(approx (exp (* y y)) #s(literal 1 binary64))) (patch (*.f64 x #s(approx (exp (* y y)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (exp (pow y 2))) (taylor -inf x) (#s(alt (*.f64 x #s(approx (exp (* y y)) #s(literal 1 binary64))) (patch (*.f64 x #s(approx (exp (* y y)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (exp (pow y 2))) (taylor -inf x) (#s(alt (*.f64 x #s(approx (exp (* y y)) #s(literal 1 binary64))) (patch (*.f64 x #s(approx (exp (* y y)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 y) (#s(alt (*.f64 x #s(approx (exp (* y y)) #s(literal 1 binary64))) (patch (*.f64 x #s(approx (exp (* y y)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ x (* x (pow y 2))) (taylor 0 y) (#s(alt (*.f64 x #s(approx (exp (* y y)) #s(literal 1 binary64))) (patch (*.f64 x #s(approx (exp (* y y)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
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#s(alt (+ 1 (* (pow y 2) (+ 1 (* 1/2 (pow y 2))))) (taylor 0 y) (#s(alt (fma.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y y) #s(literal 1 binary64)) (*.f64 y y) #s(literal 1 binary64)) (patch (fma.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y y) #s(literal 1 binary64)) (*.f64 y y) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (pow y 4)) (taylor inf y) (#s(alt (fma.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y y) #s(literal 1 binary64)) (*.f64 y y) #s(literal 1 binary64)) (patch (fma.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y y) #s(literal 1 binary64)) (*.f64 y y) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow y 4) (+ 1/2 (/ 1 (pow y 2)))) (taylor inf y) (#s(alt (fma.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y y) #s(literal 1 binary64)) (*.f64 y y) #s(literal 1 binary64)) (patch (fma.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y y) #s(literal 1 binary64)) (*.f64 y y) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow y 4) (+ 1/2 (+ (/ 1 (pow y 2)) (/ 1 (pow y 4))))) (taylor inf y) (#s(alt (fma.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y y) #s(literal 1 binary64)) (*.f64 y y) #s(literal 1 binary64)) (patch (fma.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y y) #s(literal 1 binary64)) (*.f64 y y) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow y 4) (+ 1/2 (+ (/ 1 (pow y 2)) (/ 1 (pow y 4))))) (taylor inf y) (#s(alt (fma.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y y) #s(literal 1 binary64)) (*.f64 y y) #s(literal 1 binary64)) (patch (fma.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y y) #s(literal 1 binary64)) (*.f64 y y) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (pow y 4)) (taylor -inf y) (#s(alt (fma.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y y) #s(literal 1 binary64)) (*.f64 y y) #s(literal 1 binary64)) (patch (fma.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y y) #s(literal 1 binary64)) (*.f64 y y) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow y 4) (+ 1/2 (/ 1 (pow y 2)))) (taylor -inf y) (#s(alt (fma.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y y) #s(literal 1 binary64)) (*.f64 y y) #s(literal 1 binary64)) (patch (fma.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y y) #s(literal 1 binary64)) (*.f64 y y) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow y 4) (+ 1/2 (+ (/ 1 (pow y 2)) (/ 1 (pow y 4))))) (taylor -inf y) (#s(alt (fma.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y y) #s(literal 1 binary64)) (*.f64 y y) #s(literal 1 binary64)) (patch (fma.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y y) #s(literal 1 binary64)) (*.f64 y y) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow y 4) (+ 1/2 (+ (/ 1 (pow y 2)) (/ 1 (pow y 4))))) (taylor -inf y) (#s(alt (fma.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y y) #s(literal 1 binary64)) (*.f64 y y) #s(literal 1 binary64)) (patch (fma.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y y) #s(literal 1 binary64)) (*.f64 y y) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 y) (#s(alt (fma.f64 #s(literal 1/2 binary64) (*.f64 y y) #s(literal 1 binary64)) (patch (fma.f64 #s(literal 1/2 binary64) (*.f64 y y) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* 1/2 (pow y 2))) (taylor 0 y) (#s(alt (fma.f64 #s(literal 1/2 binary64) (*.f64 y y) #s(literal 1 binary64)) (patch (fma.f64 #s(literal 1/2 binary64) (*.f64 y y) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* 1/2 (pow y 2))) (taylor 0 y) (#s(alt (fma.f64 #s(literal 1/2 binary64) (*.f64 y y) #s(literal 1 binary64)) (patch (fma.f64 #s(literal 1/2 binary64) (*.f64 y y) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* 1/2 (pow y 2))) (taylor 0 y) (#s(alt (fma.f64 #s(literal 1/2 binary64) (*.f64 y y) #s(literal 1 binary64)) (patch (fma.f64 #s(literal 1/2 binary64) (*.f64 y y) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (pow y 2)) (taylor inf y) (#s(alt (fma.f64 #s(literal 1/2 binary64) (*.f64 y y) #s(literal 1 binary64)) (patch (fma.f64 #s(literal 1/2 binary64) (*.f64 y y) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (+ 1/2 (/ 1 (pow y 2)))) (taylor inf y) (#s(alt (fma.f64 #s(literal 1/2 binary64) (*.f64 y y) #s(literal 1 binary64)) (patch (fma.f64 #s(literal 1/2 binary64) (*.f64 y y) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (+ 1/2 (/ 1 (pow y 2)))) (taylor inf y) (#s(alt (fma.f64 #s(literal 1/2 binary64) (*.f64 y y) #s(literal 1 binary64)) (patch (fma.f64 #s(literal 1/2 binary64) (*.f64 y y) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (+ 1/2 (/ 1 (pow y 2)))) (taylor inf y) (#s(alt (fma.f64 #s(literal 1/2 binary64) (*.f64 y y) #s(literal 1 binary64)) (patch (fma.f64 #s(literal 1/2 binary64) (*.f64 y y) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (pow y 2)) (taylor -inf y) (#s(alt (fma.f64 #s(literal 1/2 binary64) (*.f64 y y) #s(literal 1 binary64)) (patch (fma.f64 #s(literal 1/2 binary64) (*.f64 y y) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (+ 1/2 (/ 1 (pow y 2)))) (taylor -inf y) (#s(alt (fma.f64 #s(literal 1/2 binary64) (*.f64 y y) #s(literal 1 binary64)) (patch (fma.f64 #s(literal 1/2 binary64) (*.f64 y y) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (+ 1/2 (/ 1 (pow y 2)))) (taylor -inf y) (#s(alt (fma.f64 #s(literal 1/2 binary64) (*.f64 y y) #s(literal 1 binary64)) (patch (fma.f64 #s(literal 1/2 binary64) (*.f64 y y) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (+ 1/2 (/ 1 (pow y 2)))) (taylor -inf y) (#s(alt (fma.f64 #s(literal 1/2 binary64) (*.f64 y y) #s(literal 1 binary64)) (patch (fma.f64 #s(literal 1/2 binary64) (*.f64 y y) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
Calls

69 calls:

TimeVariablePointExpression
2.0ms
x
@-inf
(* x (exp (* y y)))
2.0ms
x
@-inf
(+ (* (+ (* 1/2 (* (* y y) x)) x) (* y y)) x)
1.0ms
x
@inf
(+ (* (+ (* 1/2 (* (* y y) x)) x) (* y y)) x)
1.0ms
x
@0
(+ (* (+ (* 1/2 (* (* y y) x)) x) (* y y)) x)
1.0ms
y
@0
(* x (exp y))

simplify155.0ms (0.6%)

Memory
17.0MiB live, 207.6MiB allocated
Algorithm
egg-herbie
Rules
17 148×lower-fma.f64
17 148×lower-fma.f32
4 286×lower-*.f64
4 286×lower-*.f32
1 412×lower-neg.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0931914
12891914
27221832
319561828
447681828
081331682
Stop Event
iter limit
node limit
Counts
276 → 269
Calls
Call 1
Inputs
(* x (exp y))
(* x (exp y))
(* x (exp y))
(* x (exp y))
(* x (exp y))
(* x (exp y))
(* x (exp y))
(* x (exp y))
(* x (exp y))
(* x (exp y))
(* x (exp y))
(* x (exp y))
x
(+ x (* x y))
(+ x (* y (+ x (* 1/2 (* x y)))))
(+ x (* y (+ x (* y (+ (* 1/6 (* x y)) (* 1/2 x))))))
(* x (exp y))
(* x (exp y))
(* x (exp y))
(* x (exp y))
(* x (exp y))
(* x (exp y))
(* x (exp y))
(* x (exp y))
1
(+ 1 y)
(+ 1 (* y (+ 1 (* 1/2 y))))
(+ 1 (* y (+ 1 (* y (+ 1/2 (* 1/6 y))))))
(exp y)
(exp y)
(exp y)
(exp y)
(exp y)
(exp y)
(exp y)
(exp y)
(* x (exp (pow y 2)))
(* x (exp (pow y 2)))
(* x (exp (pow y 2)))
(* x (exp (pow y 2)))
(* x (exp (pow y 2)))
(* x (exp (pow y 2)))
(* x (exp (pow y 2)))
(* x (exp (pow y 2)))
(* x (exp (pow y 2)))
(* x (exp (pow y 2)))
(* x (exp (pow y 2)))
(* x (exp (pow y 2)))
x
(+ x (* x (pow y 2)))
(+ x (* (pow y 2) (+ x (* 1/2 (* x (pow y 2))))))
(+ x (* (pow y 2) (+ x (* (pow y 2) (+ (* 1/6 (* x (pow y 2))) (* 1/2 x))))))
(* x (exp (pow y 2)))
(* x (exp (pow y 2)))
(* x (exp (pow y 2)))
(* x (exp (pow y 2)))
(* x (exp (pow y 2)))
(* x (exp (pow y 2)))
(* x (exp (pow y 2)))
(* x (exp (pow y 2)))
1
(+ 1 (pow y 2))
(+ 1 (* (pow y 2) (+ 1 (* 1/2 (pow y 2)))))
(+ 1 (* (pow y 2) (+ 1 (* (pow y 2) (+ 1/2 (* 1/6 (pow y 2)))))))
(exp (pow y 2))
(exp (pow y 2))
(exp (pow y 2))
(exp (pow y 2))
(exp (pow y 2))
(exp (pow y 2))
(exp (pow y 2))
(exp (pow y 2))
(* x (exp (pow y 2)))
(* x (exp (pow y 2)))
(* x (exp (pow y 2)))
(* x (exp (pow y 2)))
(* x (exp (pow y 2)))
(* x (exp (pow y 2)))
(* x (exp (pow y 2)))
(* x (exp (pow y 2)))
(* x (exp (pow y 2)))
(* x (exp (pow y 2)))
(* x (exp (pow y 2)))
(* x (exp (pow y 2)))
x
(+ x (* x (pow y 2)))
(+ x (* (pow y 2) (+ x (* 1/2 (* x (pow y 2))))))
(+ x (* (pow y 2) (+ x (* (pow y 2) (+ (* 1/6 (* x (pow y 2))) (* 1/2 x))))))
(* x (exp (pow y 2)))
(* x (exp (pow y 2)))
(* x (exp (pow y 2)))
(* x (exp (pow y 2)))
(* x (exp (pow y 2)))
(* x (exp (pow y 2)))
(* x (exp (pow y 2)))
(* x (exp (pow y 2)))
1
(+ 1 (pow y 2))
(+ 1 (* (pow y 2) (+ 1 (* 1/2 (pow y 2)))))
(+ 1 (* (pow y 2) (+ 1 (* (pow y 2) (+ 1/2 (* 1/6 (pow y 2)))))))
(exp (pow y 2))
(exp (pow y 2))
(exp (pow y 2))
(exp (pow y 2))
(exp (pow y 2))
(exp (pow y 2))
(exp (pow y 2))
(exp (pow y 2))
1
(+ 1 (pow y 2))
(+ 1 (pow y 2))
(+ 1 (pow y 2))
(pow y 2)
(* (pow y 2) (+ 1 (/ 1 (pow y 2))))
(* (pow y 2) (+ 1 (/ 1 (pow y 2))))
(* (pow y 2) (+ 1 (/ 1 (pow y 2))))
(pow y 2)
(* (pow y 2) (+ 1 (/ 1 (pow y 2))))
(* (pow y 2) (+ 1 (/ 1 (pow y 2))))
(* (pow y 2) (+ 1 (/ 1 (pow y 2))))
(* x (exp (pow y 2)))
(* x (exp (pow y 2)))
(* x (exp (pow y 2)))
(* x (exp (pow y 2)))
(* x (exp (pow y 2)))
(* x (exp (pow y 2)))
(* x (exp (pow y 2)))
(* x (exp (pow y 2)))
(* x (exp (pow y 2)))
(* x (exp (pow y 2)))
(* x (exp (pow y 2)))
(* x (exp (pow y 2)))
x
(+ x (* x (pow y 2)))
(+ x (* (pow y 2) (+ x (* 1/2 (* x (pow y 2))))))
(+ x (* (pow y 2) (+ x (* (pow y 2) (+ (* 1/6 (* x (pow y 2))) (* 1/2 x))))))
(* x (exp (pow y 2)))
(* x (exp (pow y 2)))
(* x (exp (pow y 2)))
(* x (exp (pow y 2)))
(* x (exp (pow y 2)))
(* x (exp (pow y 2)))
(* x (exp (pow y 2)))
(* x (exp (pow y 2)))
x
(+ x (* x (pow y 2)))
(+ x (* (pow y 2) (+ x (* 1/2 (* x (pow y 2))))))
(+ x (* (pow y 2) (+ x (* 1/2 (* x (pow y 2))))))
(* 1/2 (* x (pow y 4)))
(* (pow y 4) (+ (* 1/2 x) (/ x (pow y 2))))
(* (pow y 4) (+ (* 1/2 x) (+ (/ x (pow y 2)) (/ x (pow y 4)))))
(* (pow y 4) (+ (* 1/2 x) (+ (/ x (pow y 2)) (/ x (pow y 4)))))
(* 1/2 (* x (pow y 4)))
(* (pow y 4) (+ (* 1/2 x) (/ x (pow y 2))))
(* (pow y 4) (+ (* 1/2 x) (+ (/ x (pow y 2)) (/ x (pow y 4)))))
(* (pow y 4) (+ (* 1/2 x) (+ (/ x (pow y 2)) (/ x (pow y 4)))))
(* x (+ 1 (* (pow y 2) (+ 1 (* 1/2 (pow y 2))))))
(* x (+ 1 (* (pow y 2) (+ 1 (* 1/2 (pow y 2))))))
(* x (+ 1 (* (pow y 2) (+ 1 (* 1/2 (pow y 2))))))
(* x (+ 1 (* (pow y 2) (+ 1 (* 1/2 (pow y 2))))))
(* x (+ 1 (* (pow y 2) (+ 1 (* 1/2 (pow y 2))))))
(* x (+ 1 (* (pow y 2) (+ 1 (* 1/2 (pow y 2))))))
(* x (+ 1 (* (pow y 2) (+ 1 (* 1/2 (pow y 2))))))
(* x (+ 1 (* (pow y 2) (+ 1 (* 1/2 (pow y 2))))))
(* -1 (* x (- (* (pow y 2) (- (* -1/2 (pow y 2)) 1)) 1)))
(* -1 (* x (- (* (pow y 2) (- (* -1/2 (pow y 2)) 1)) 1)))
(* -1 (* x (- (* (pow y 2) (- (* -1/2 (pow y 2)) 1)) 1)))
(* -1 (* x (- (* (pow y 2) (- (* -1/2 (pow y 2)) 1)) 1)))
x
(+ x (* 1/2 (* x (pow y 2))))
(+ x (* 1/2 (* x (pow y 2))))
(+ x (* 1/2 (* x (pow y 2))))
(* 1/2 (* x (pow y 2)))
(* (pow y 2) (+ (* 1/2 x) (/ x (pow y 2))))
(* (pow y 2) (+ (* 1/2 x) (/ x (pow y 2))))
(* (pow y 2) (+ (* 1/2 x) (/ x (pow y 2))))
(* 1/2 (* x (pow y 2)))
(* (pow y 2) (+ (* 1/2 x) (/ x (pow y 2))))
(* (pow y 2) (+ (* 1/2 x) (/ x (pow y 2))))
(* (pow y 2) (+ (* 1/2 x) (/ x (pow y 2))))
(* x (+ 1 (* 1/2 (pow y 2))))
(* x (+ 1 (* 1/2 (pow y 2))))
(* x (+ 1 (* 1/2 (pow y 2))))
(* x (+ 1 (* 1/2 (pow y 2))))
(* x (+ 1 (* 1/2 (pow y 2))))
(* x (+ 1 (* 1/2 (pow y 2))))
(* x (+ 1 (* 1/2 (pow y 2))))
(* x (+ 1 (* 1/2 (pow y 2))))
(* -1 (* x (- (* -1/2 (pow y 2)) 1)))
(* -1 (* x (- (* -1/2 (pow y 2)) 1)))
(* -1 (* x (- (* -1/2 (pow y 2)) 1)))
(* -1 (* x (- (* -1/2 (pow y 2)) 1)))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (exp (pow y 2)))
(* x (exp (pow y 2)))
(* x (exp (pow y 2)))
(* x (exp (pow y 2)))
(* x (exp (pow y 2)))
(* x (exp (pow y 2)))
(* x (exp (pow y 2)))
(* x (exp (pow y 2)))
(* x (exp (pow y 2)))
(* x (exp (pow y 2)))
(* x (exp (pow y 2)))
(* x (exp (pow y 2)))
x
(+ x (* x (pow y 2)))
(+ x (* (pow y 2) (+ x (* 1/2 (* x (pow y 2))))))
(+ x (* (pow y 2) (+ x (* (pow y 2) (+ (* 1/6 (* x (pow y 2))) (* 1/2 x))))))
(* x (exp (pow y 2)))
(* x (exp (pow y 2)))
(* x (exp (pow y 2)))
(* x (exp (pow y 2)))
(* x (exp (pow y 2)))
(* x (exp (pow y 2)))
(* x (exp (pow y 2)))
(* x (exp (pow y 2)))
1
(+ 1 (pow y 2))
(+ 1 (* (pow y 2) (+ 1 (* 1/2 (pow y 2)))))
(+ 1 (* (pow y 2) (+ 1 (* (pow y 2) (+ 1/2 (* 1/6 (pow y 2)))))))
(exp (pow y 2))
(exp (pow y 2))
(exp (pow y 2))
(exp (pow y 2))
(exp (pow y 2))
(exp (pow y 2))
(exp (pow y 2))
(exp (pow y 2))
1
(+ 1 (pow y 2))
(+ 1 (* (pow y 2) (+ 1 (* 1/2 (pow y 2)))))
(+ 1 (* (pow y 2) (+ 1 (* 1/2 (pow y 2)))))
(* 1/2 (pow y 4))
(* (pow y 4) (+ 1/2 (/ 1 (pow y 2))))
(* (pow y 4) (+ 1/2 (+ (/ 1 (pow y 2)) (/ 1 (pow y 4)))))
(* (pow y 4) (+ 1/2 (+ (/ 1 (pow y 2)) (/ 1 (pow y 4)))))
(* 1/2 (pow y 4))
(* (pow y 4) (+ 1/2 (/ 1 (pow y 2))))
(* (pow y 4) (+ 1/2 (+ (/ 1 (pow y 2)) (/ 1 (pow y 4)))))
(* (pow y 4) (+ 1/2 (+ (/ 1 (pow y 2)) (/ 1 (pow y 4)))))
1
(+ 1 (* 1/2 (pow y 2)))
(+ 1 (* 1/2 (pow y 2)))
(+ 1 (* 1/2 (pow y 2)))
(* 1/2 (pow y 2))
(* (pow y 2) (+ 1/2 (/ 1 (pow y 2))))
(* (pow y 2) (+ 1/2 (/ 1 (pow y 2))))
(* (pow y 2) (+ 1/2 (/ 1 (pow y 2))))
(* 1/2 (pow y 2))
(* (pow y 2) (+ 1/2 (/ 1 (pow y 2))))
(* (pow y 2) (+ 1/2 (/ 1 (pow y 2))))
(* (pow y 2) (+ 1/2 (/ 1 (pow y 2))))
Outputs
(* x (exp y))
(*.f64 (exp.f64 y) x)
(* x (exp y))
(*.f64 (exp.f64 y) x)
(* x (exp y))
(*.f64 (exp.f64 y) x)
(* x (exp y))
(*.f64 (exp.f64 y) x)
(* x (exp y))
(*.f64 (exp.f64 y) x)
(* x (exp y))
(*.f64 (exp.f64 y) x)
(* x (exp y))
(*.f64 (exp.f64 y) x)
(* x (exp y))
(*.f64 (exp.f64 y) x)
(* x (exp y))
(*.f64 (exp.f64 y) x)
(* x (exp y))
(*.f64 (exp.f64 y) x)
(* x (exp y))
(*.f64 (exp.f64 y) x)
(* x (exp y))
(*.f64 (exp.f64 y) x)
x
(+ x (* x y))
(fma.f64 y x x)
(+ x (* y (+ x (* 1/2 (* x y)))))
(*.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal 1 binary64)) y #s(literal 1 binary64)) x)
(+ x (* y (+ x (* y (+ (* 1/6 (* x y)) (* 1/2 x))))))
(fma.f64 (*.f64 y x) (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) x)
(* x (exp y))
(*.f64 (exp.f64 y) x)
(* x (exp y))
(*.f64 (exp.f64 y) x)
(* x (exp y))
(*.f64 (exp.f64 y) x)
(* x (exp y))
(*.f64 (exp.f64 y) x)
(* x (exp y))
(*.f64 (exp.f64 y) x)
(* x (exp y))
(*.f64 (exp.f64 y) x)
(* x (exp y))
(*.f64 (exp.f64 y) x)
(* x (exp y))
(*.f64 (exp.f64 y) x)
1
#s(literal 1 binary64)
(+ 1 y)
(+.f64 #s(literal 1 binary64) y)
(+ 1 (* y (+ 1 (* 1/2 y))))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal 1 binary64)) y #s(literal 1 binary64))
(+ 1 (* y (+ 1 (* y (+ 1/2 (* 1/6 y))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y #s(literal 1 binary64))
(exp y)
(exp.f64 y)
(exp y)
(exp.f64 y)
(exp y)
(exp.f64 y)
(exp y)
(exp.f64 y)
(exp y)
(exp.f64 y)
(exp y)
(exp.f64 y)
(exp y)
(exp.f64 y)
(exp y)
(exp.f64 y)
(* x (exp (pow y 2)))
(*.f64 (exp.f64 (*.f64 y y)) x)
(* x (exp (pow y 2)))
(*.f64 (exp.f64 (*.f64 y y)) x)
(* x (exp (pow y 2)))
(*.f64 (exp.f64 (*.f64 y y)) x)
(* x (exp (pow y 2)))
(*.f64 (exp.f64 (*.f64 y y)) x)
(* x (exp (pow y 2)))
(*.f64 (exp.f64 (*.f64 y y)) x)
(* x (exp (pow y 2)))
(*.f64 (exp.f64 (*.f64 y y)) x)
(* x (exp (pow y 2)))
(*.f64 (exp.f64 (*.f64 y y)) x)
(* x (exp (pow y 2)))
(*.f64 (exp.f64 (*.f64 y y)) x)
(* x (exp (pow y 2)))
(*.f64 (exp.f64 (*.f64 y y)) x)
(* x (exp (pow y 2)))
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(fma.f64 y y #s(literal 1 binary64))
(+ 1 (* (pow y 2) (+ 1 (* 1/2 (pow y 2)))))
(fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 y y) #s(literal 1 binary64))
(+ 1 (* (pow y 2) (+ 1 (* 1/2 (pow y 2)))))
(fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 y y) #s(literal 1 binary64))
(* 1/2 (pow y 4))
(*.f64 (*.f64 (*.f64 y y) y) (*.f64 #s(literal 1/2 binary64) y))
(* (pow y 4) (+ 1/2 (/ 1 (pow y 2))))
(*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/2 binary64) #s(literal 1 binary64)) y) y)
(* (pow y 4) (+ 1/2 (+ (/ 1 (pow y 2)) (/ 1 (pow y 4)))))
(fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 y y) #s(literal 1 binary64))
(* (pow y 4) (+ 1/2 (+ (/ 1 (pow y 2)) (/ 1 (pow y 4)))))
(fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 y y) #s(literal 1 binary64))
(* 1/2 (pow y 4))
(*.f64 (*.f64 (*.f64 y y) y) (*.f64 #s(literal 1/2 binary64) y))
(* (pow y 4) (+ 1/2 (/ 1 (pow y 2))))
(*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/2 binary64) #s(literal 1 binary64)) y) y)
(* (pow y 4) (+ 1/2 (+ (/ 1 (pow y 2)) (/ 1 (pow y 4)))))
(fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 y y) #s(literal 1 binary64))
(* (pow y 4) (+ 1/2 (+ (/ 1 (pow y 2)) (/ 1 (pow y 4)))))
(fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 y y) #s(literal 1 binary64))
1
#s(literal 1 binary64)
(+ 1 (* 1/2 (pow y 2)))
(fma.f64 (*.f64 y y) #s(literal 1/2 binary64) #s(literal 1 binary64))
(+ 1 (* 1/2 (pow y 2)))
(fma.f64 (*.f64 y y) #s(literal 1/2 binary64) #s(literal 1 binary64))
(+ 1 (* 1/2 (pow y 2)))
(fma.f64 (*.f64 y y) #s(literal 1/2 binary64) #s(literal 1 binary64))
(* 1/2 (pow y 2))
(*.f64 (*.f64 y y) #s(literal 1/2 binary64))
(* (pow y 2) (+ 1/2 (/ 1 (pow y 2))))
(fma.f64 (*.f64 y y) #s(literal 1/2 binary64) #s(literal 1 binary64))
(* (pow y 2) (+ 1/2 (/ 1 (pow y 2))))
(fma.f64 (*.f64 y y) #s(literal 1/2 binary64) #s(literal 1 binary64))
(* (pow y 2) (+ 1/2 (/ 1 (pow y 2))))
(fma.f64 (*.f64 y y) #s(literal 1/2 binary64) #s(literal 1 binary64))
(* 1/2 (pow y 2))
(*.f64 (*.f64 y y) #s(literal 1/2 binary64))
(* (pow y 2) (+ 1/2 (/ 1 (pow y 2))))
(fma.f64 (*.f64 y y) #s(literal 1/2 binary64) #s(literal 1 binary64))
(* (pow y 2) (+ 1/2 (/ 1 (pow y 2))))
(fma.f64 (*.f64 y y) #s(literal 1/2 binary64) #s(literal 1 binary64))
(* (pow y 2) (+ 1/2 (/ 1 (pow y 2))))
(fma.f64 (*.f64 y y) #s(literal 1/2 binary64) #s(literal 1 binary64))

rewrite413.0ms (1.5%)

Memory
-22.3MiB live, 238.8MiB allocated
Rules
12 540×lower-fma.f32
12 530×lower-fma.f64
6 786×lower-*.f32
6 774×lower-*.f64
3 752×lower-/.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
023141
039141
1123141
2792138
08500131
Stop Event
iter limit
node limit
iter limit
Counts
15 → 410
Calls
Call 1
Inputs
(*.f64 x (exp.f64 y))
(exp.f64 y)
(*.f64 x #s(approx (exp (* y y)) #s(literal 1 binary64)))
#s(approx (exp (* y y)) #s(literal 1 binary64))
(*.f64 x #s(approx (exp (* y y)) (fma.f64 y y #s(literal 1 binary64))))
#s(approx (exp (* y y)) (fma.f64 y y #s(literal 1 binary64)))
(fma.f64 y y #s(literal 1 binary64))
#s(approx (* x (exp (* y y))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 y y) x) x) (*.f64 y y) x))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 y y) x) x) (*.f64 y y) x)
(fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 y y) x) x)
(*.f64 (*.f64 y y) x)
(*.f64 x #s(approx (exp (* y y)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y y) #s(literal 1 binary64)) (*.f64 y y) #s(literal 1 binary64))))
#s(approx (exp (* y y)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y y) #s(literal 1 binary64)) (*.f64 y y) #s(literal 1 binary64)))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y y) #s(literal 1 binary64)) (*.f64 y y) #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) (*.f64 y y) #s(literal 1 binary64))
Outputs
(*.f64 (exp.f64 y) x)
(*.f64 x (exp.f64 y))
(exp.f64 y)
(*.f64 #s(approx (exp (* y y)) #s(literal 1 binary64)) x)
(*.f64 x #s(approx (exp (* y y)) #s(literal 1 binary64)))
#s(approx (exp (* y y)) #s(literal 1 binary64))
(*.f64 #s(approx (exp (* y y)) (fma.f64 y y #s(literal 1 binary64))) x)
(*.f64 x #s(approx (exp (* y y)) (fma.f64 y y #s(literal 1 binary64))))
#s(approx (exp (* y y)) (fma.f64 y y #s(literal 1 binary64)))
(*.f64 (/.f64 (fma.f64 y y #s(literal 1 binary64)) (+.f64 y #s(literal 1 binary64))) (+.f64 y #s(literal 1 binary64)))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 y y) y) y)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 y y))))
(*.f64 (neg.f64 (fma.f64 (*.f64 y y) (*.f64 y y) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 y y #s(literal -1 binary64)))))
(*.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 y y) y) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (*.f64 (*.f64 y y) y) y (-.f64 #s(literal 1 binary64) (*.f64 y y))))))
(*.f64 (fma.f64 (*.f64 y y) (*.f64 y y) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal -1 binary64))))
(*.f64 (fma.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 y y) y) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) (fma.f64 y y #s(literal -1 binary64))))))
(*.f64 (fma.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 y y) y) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 y y) y) y (-.f64 #s(literal 1 binary64) (*.f64 y y)))))
(*.f64 (fma.f64 y y #s(literal 1 binary64)) (*.f64 (fma.f64 y y #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal -1 binary64)))))
(*.f64 (fma.f64 y y #s(literal 1 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal 1 binary64)))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal 1 binary64))) #s(literal -1 binary64))
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 y y) y) y) (*.f64 (*.f64 (*.f64 y y) y) y) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal -1 binary64)))) (fma.f64 (*.f64 (*.f64 y y) y) y #s(literal 1 binary64)))
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) y) y) (*.f64 (*.f64 (*.f64 y y) y) y)) (*.f64 (*.f64 (*.f64 y y) y) y) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal -1 binary64)))) (fma.f64 (*.f64 (*.f64 (*.f64 y y) y) y) (*.f64 (*.f64 (*.f64 y y) y) y) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 y y) y) y))))
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) y) y) (*.f64 (*.f64 (*.f64 y y) y) y)) (*.f64 (*.f64 (*.f64 y y) y) y) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 y y) y) y (-.f64 #s(literal 1 binary64) (*.f64 y y))))) (fma.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 y y) y) #s(literal -1 binary64)))
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 y y) y)) (*.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 y y) y))) (*.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 y y) y)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 y y) y) y (-.f64 #s(literal 1 binary64) (*.f64 y y))))) (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 y y) y)) (*.f64 (*.f64 y y) y)) (*.f64 (*.f64 y y) y) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 y y) y)))))
(/.f64 (*.f64 (fma.f64 (*.f64 y y) (*.f64 y y) #s(literal -1 binary64)) #s(literal 1 binary64)) (fma.f64 y y #s(literal -1 binary64)))
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 y y) y) #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 (*.f64 y y) y) y (-.f64 #s(literal 1 binary64) (*.f64 y y))))
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 y y) y) y) (fma.f64 y y #s(literal -1 binary64))) (/.f64 (*.f64 (*.f64 (*.f64 y y) y) y) (fma.f64 y y #s(literal -1 binary64)))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal -1 binary64))))) (+.f64 (/.f64 (*.f64 (*.f64 (*.f64 y y) y) y) (fma.f64 y y #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal -1 binary64)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (*.f64 (*.f64 y y) y) y) (fma.f64 y y #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal -1 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 y y) y) y) (fma.f64 y y #s(literal -1 binary64))) (/.f64 (*.f64 (*.f64 (*.f64 y y) y) y) (fma.f64 y y #s(literal -1 binary64))) (fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal -1 binary64))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 y y) y) y) (fma.f64 y y #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal -1 binary64)))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 y y) (*.f64 y y) #s(literal -1 binary64)))) (neg.f64 (neg.f64 (fma.f64 y y #s(literal -1 binary64)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 y y) y) #s(literal 1 binary64)))) (neg.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 y y) y) y (-.f64 #s(literal 1 binary64) (*.f64 y y))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 y y) y) y))) (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y))))
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 y y) y) y) (*.f64 (*.f64 (*.f64 y y) y) y) #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 (*.f64 y y) y) y #s(literal 1 binary64)) (fma.f64 y y #s(literal -1 binary64))))
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) y) y) (*.f64 (*.f64 (*.f64 y y) y) y)) (*.f64 (*.f64 (*.f64 y y) y) y) #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 y y) y) y) (*.f64 (*.f64 (*.f64 y y) y) y) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 y y) y) y))) (fma.f64 y y #s(literal -1 binary64))))
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) y) y) (*.f64 (*.f64 (*.f64 y y) y) y)) (*.f64 (*.f64 (*.f64 y y) y) y) #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 y y) y) #s(literal -1 binary64)) (fma.f64 (*.f64 (*.f64 y y) y) y (-.f64 #s(literal 1 binary64) (*.f64 y y)))))
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 y y) y)) (*.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 y y) y))) (*.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 y y) y)) #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 y y) y)) (*.f64 (*.f64 y y) y)) (*.f64 (*.f64 y y) y) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 y y) y)))) (fma.f64 (*.f64 (*.f64 y y) y) y (-.f64 #s(literal 1 binary64) (*.f64 y y)))))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) y) y) (fma.f64 y y #s(literal -1 binary64))) (*.f64 (fma.f64 y y #s(literal -1 binary64)) #s(literal 1 binary64))) (*.f64 (fma.f64 y y #s(literal -1 binary64)) (fma.f64 y y #s(literal -1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 y y) y) y)) (-.f64 #s(literal 1 binary64) (*.f64 y y)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal 1 binary64)))))
(/.f64 (neg.f64 (fma.f64 (*.f64 y y) (*.f64 y y) #s(literal -1 binary64))) (neg.f64 (fma.f64 y y #s(literal -1 binary64))))
(/.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 y y) y) #s(literal 1 binary64))) (neg.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) (fma.f64 y y #s(literal -1 binary64))))))
(/.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 y y) y) #s(literal 1 binary64))) (neg.f64 (fma.f64 (*.f64 (*.f64 y y) y) y (-.f64 #s(literal 1 binary64) (*.f64 y y)))))
(/.f64 (fma.f64 (*.f64 y y) (*.f64 y y) #s(literal -1 binary64)) (fma.f64 y y #s(literal -1 binary64)))
(/.f64 (fma.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 y y) y) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) (fma.f64 y y #s(literal -1 binary64)))))
(/.f64 (fma.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 y y) y) #s(literal 1 binary64)) (fma.f64 (*.f64 (*.f64 y y) y) y (-.f64 #s(literal 1 binary64) (*.f64 y y))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 y y) y) y))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) (fma.f64 y y #s(literal -1 binary64)))) (fma.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 y y) y) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal 1 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal 1 binary64))))
(neg.f64 (/.f64 (neg.f64 (fma.f64 (*.f64 y y) (*.f64 y y) #s(literal -1 binary64))) (fma.f64 y y #s(literal -1 binary64))))
(neg.f64 (/.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 y y) y) #s(literal 1 binary64))) (fma.f64 (*.f64 (*.f64 y y) y) y (-.f64 #s(literal 1 binary64) (*.f64 y y)))))
(neg.f64 (/.f64 (fma.f64 (*.f64 y y) (*.f64 y y) #s(literal -1 binary64)) (neg.f64 (fma.f64 y y #s(literal -1 binary64)))))
(neg.f64 (/.f64 (fma.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 y y) y) #s(literal 1 binary64)) (neg.f64 (fma.f64 (*.f64 (*.f64 y y) y) y (-.f64 #s(literal 1 binary64) (*.f64 y y))))))
(fma.f64 (*.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64))
(fma.f64 (/.f64 (*.f64 (*.f64 y y) y) (+.f64 y #s(literal 1 binary64))) (/.f64 y (-.f64 y #s(literal 1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal -1 binary64)))))
(fma.f64 (/.f64 (*.f64 y y) (+.f64 y #s(literal 1 binary64))) (/.f64 (*.f64 y y) (-.f64 y #s(literal 1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal -1 binary64)))))
(fma.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) (/.f64 (*.f64 (*.f64 y y) y) (-.f64 y #s(literal 1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal -1 binary64)))))
(fma.f64 (exp.f64 (log.f64 y)) (exp.f64 (log.f64 y)) #s(literal 1 binary64))
(fma.f64 (*.f64 (*.f64 (*.f64 y y) y) y) (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal -1 binary64)))))
(fma.f64 (*.f64 y y) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 y y) #s(literal 1 binary64))
(fma.f64 y y #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 y y))) (/.f64 (*.f64 (*.f64 (*.f64 y y) y) y) (-.f64 #s(literal 1 binary64) (*.f64 y y))))
(-.f64 (/.f64 (*.f64 (*.f64 (*.f64 y y) y) y) (fma.f64 y y #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal -1 binary64))))
(+.f64 (/.f64 (*.f64 (*.f64 (*.f64 y y) y) y) (fma.f64 y y #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal -1 binary64)))))
(+.f64 (*.f64 y y) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 y y))
#s(approx (* x (exp (* y y))) (fma.f64 (fma.f64 (*.f64 (*.f64 y y) x) #s(literal 1/2 binary64) x) (*.f64 y y) x))
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(/.f64 (*.f64 (fma.f64 #s(literal 1/64 binary64) (*.f64 (*.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 y y) y)) (*.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 y y) y))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 y y) y)) y (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) #s(literal 1/2 binary64)))))) (fma.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 y y)) (*.f64 (*.f64 (*.f64 y y) y) y) #s(literal -1 binary64)))
(/.f64 (*.f64 (fma.f64 #s(literal 1/512 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 y y) y)) (*.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 y y) y))) (*.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 y y) y))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 y y) y)) y (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) #s(literal 1/2 binary64)))))) (fma.f64 #s(literal 1/64 binary64) (*.f64 (*.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 y y) y)) (*.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 y y) y))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 y y)) (*.f64 (*.f64 (*.f64 y y) y) y)))))
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 y y) y)) y) (fma.f64 (*.f64 y y) #s(literal 1/2 binary64) #s(literal -1 binary64))) (/.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 y y) y)) y) (fma.f64 (*.f64 y y) #s(literal 1/2 binary64) #s(literal -1 binary64)))) (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64))))) (+.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 y y) y)) y) (fma.f64 (*.f64 y y) #s(literal 1/2 binary64) #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 y y) y)) y) (fma.f64 (*.f64 y y) #s(literal 1/2 binary64) #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 y y) y)) y) (fma.f64 (*.f64 y y) #s(literal 1/2 binary64) #s(literal -1 binary64))) (/.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 y y) y)) y) (fma.f64 (*.f64 y y) #s(literal 1/2 binary64) #s(literal -1 binary64))) (fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64))) (*.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 y y) y)) y) (fma.f64 (*.f64 y y) #s(literal 1/2 binary64) #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64)))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 y y) y)) y))) (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) #s(literal 1/2 binary64)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 y y) y)) y #s(literal -1 binary64)))) (neg.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 y y)) (*.f64 (*.f64 (*.f64 y y) y) y) #s(literal 1 binary64)))) (neg.f64 (neg.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 y y) y)) y (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) #s(literal 1/2 binary64)))))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 y y) y)) y)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) #s(literal 1/2 binary64))))
(/.f64 (*.f64 (neg.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 y y) y)) y #s(literal -1 binary64))) #s(literal 1 binary64)) (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64)))
(/.f64 (*.f64 (neg.f64 (fma.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 y y)) (*.f64 (*.f64 (*.f64 y y) y) y) #s(literal 1 binary64))) #s(literal 1 binary64)) (neg.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 y y) y)) y (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) #s(literal 1/2 binary64))))))
(/.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 y y) y)) y #s(literal -1 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 y y) #s(literal 1/2 binary64) #s(literal -1 binary64)))
(/.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 y y)) (*.f64 (*.f64 (*.f64 y y) y) y) #s(literal 1 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 y y)) #s(literal 1/2 binary64)))))
(/.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 y y)) (*.f64 (*.f64 (*.f64 y y) y) y) #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 y y) y)) y (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) #s(literal 1/2 binary64)))))
(/.f64 (*.f64 (fma.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 (*.f64 (*.f64 y y) y) y) (*.f64 (*.f64 (*.f64 y y) y) y)) #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 y y) y)) y #s(literal 1 binary64)) (fma.f64 (*.f64 y y) #s(literal 1/2 binary64) #s(literal -1 binary64))))
(/.f64 (*.f64 (fma.f64 #s(literal 1/64 binary64) (*.f64 (*.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 y y) y)) (*.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 y y) y))) #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 (*.f64 (*.f64 y y) y) y) (*.f64 (*.f64 (*.f64 y y) y) y)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 y y) y)) y))) (fma.f64 (*.f64 y y) #s(literal 1/2 binary64) #s(literal -1 binary64))))
(/.f64 (*.f64 (fma.f64 #s(literal 1/64 binary64) (*.f64 (*.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 y y) y)) (*.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 y y) y))) #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 y y)) (*.f64 (*.f64 (*.f64 y y) y) y) #s(literal -1 binary64)) (fma.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 y y) y)) y (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) #s(literal 1/2 binary64))))))
(/.f64 (*.f64 (fma.f64 #s(literal 1/512 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 y y) y)) (*.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 y y) y))) (*.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 y y) y))) #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal 1/64 binary64) (*.f64 (*.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 y y) y)) (*.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 y y) y))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 y y)) (*.f64 (*.f64 (*.f64 y y) y) y)))) (fma.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 y y) y)) y (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) #s(literal 1/2 binary64))))))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 y y) y)) y) (fma.f64 (*.f64 y y) #s(literal 1/2 binary64) #s(literal -1 binary64))) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/2 binary64) #s(literal -1 binary64)) (fma.f64 (*.f64 y y) #s(literal 1/2 binary64) #s(literal -1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 y y) y)) y)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) #s(literal 1/2 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) #s(literal 1/2 binary64) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 y y) y)) y #s(literal -1 binary64))) (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64)))
(/.f64 (neg.f64 (fma.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 y y)) (*.f64 (*.f64 (*.f64 y y) y) y) #s(literal 1 binary64))) (neg.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 y y)) #s(literal 1/2 binary64))))))
(/.f64 (neg.f64 (fma.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 y y)) (*.f64 (*.f64 (*.f64 y y) y) y) #s(literal 1 binary64))) (neg.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 y y) y)) y (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) #s(literal 1/2 binary64))))))
(/.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 y y) y)) y #s(literal -1 binary64)) (fma.f64 (*.f64 y y) #s(literal 1/2 binary64) #s(literal -1 binary64)))
(/.f64 (fma.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 y y)) (*.f64 (*.f64 (*.f64 y y) y) y) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 y y)) #s(literal 1/2 binary64)))))
(/.f64 (fma.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 y y)) (*.f64 (*.f64 (*.f64 y y) y) y) #s(literal 1 binary64)) (fma.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 y y) y)) y (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) #s(literal 1/2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) #s(literal 1/2 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 y y) y)) y))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 y y)) #s(literal 1/2 binary64)))) (fma.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 y y)) (*.f64 (*.f64 (*.f64 y y) y) y) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) #s(literal 1/2 binary64) #s(literal 1 binary64))))
(neg.f64 (/.f64 (neg.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 y y) y)) y #s(literal -1 binary64))) (fma.f64 (*.f64 y y) #s(literal 1/2 binary64) #s(literal -1 binary64))))
(neg.f64 (/.f64 (neg.f64 (fma.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 y y)) (*.f64 (*.f64 (*.f64 y y) y) y) #s(literal 1 binary64))) (fma.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 y y) y)) y (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) #s(literal 1/2 binary64))))))
(neg.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 y y) y)) y #s(literal -1 binary64)) (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64))))
(neg.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 y y)) (*.f64 (*.f64 (*.f64 y y) y) y) #s(literal 1 binary64)) (neg.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 y y) y)) y (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) #s(literal 1/2 binary64)))))))
(fma.f64 (*.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) y)) y #s(literal 1 binary64))
(fma.f64 (*.f64 #s(literal 1 binary64) y) (*.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64))
(fma.f64 (*.f64 #s(literal 1/2 binary64) y) y #s(literal 1 binary64))
(fma.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 y y) y)) y) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64))) (neg.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64)))))
(fma.f64 (*.f64 (*.f64 y y) #s(literal 1/2 binary64)) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 (*.f64 y y) #s(literal 1/2 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) (*.f64 y y) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(fma.f64 y (*.f64 (*.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 y (*.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) #s(literal 1/2 binary64)))) (/.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 y y) y)) y) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) #s(literal 1/2 binary64)))))
(-.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 y y) y)) y) (fma.f64 (*.f64 y y) #s(literal 1/2 binary64) #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64))))
(+.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 y y) y)) y) (fma.f64 (*.f64 y y) #s(literal 1/2 binary64) #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64)))))
(+.f64 (*.f64 (*.f64 y y) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) #s(literal 1/2 binary64)))

eval101.0ms (0.4%)

Memory
9.8MiB live, 125.9MiB allocated
Compiler

Compiled 18 292 to 1 335 computations (92.7% saved)

prune182.0ms (0.7%)

Memory
0.3MiB live, 230.7MiB allocated
Pruning

19 alts after pruning (13 fresh and 6 done)

PrunedKeptTotal
New66613679
Fresh101
Picked055
Done011
Total66719686
Accuracy
100.0%
Counts
686 → 19
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(*.f64 x (exp.f64 (*.f64 y y)))
98.6%
(*.f64 x (exp.f64 y))
95.6%
(*.f64 x #s(approx (exp (* y y)) (fma.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)) (*.f64 y y) #s(literal 1 binary64))))
90.8%
(*.f64 x #s(approx (exp (* y y)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y y) #s(literal 1 binary64)) (*.f64 y y) #s(literal 1 binary64))))
90.5%
(*.f64 x #s(approx (exp (* y y)) (fma.f64 #s(approx (+ (* 1/2 (* y y)) 1) (*.f64 (*.f64 y y) #s(literal 1/2 binary64))) (*.f64 y y) #s(literal 1 binary64))))
80.7%
(*.f64 x #s(approx (exp (* y y)) (fma.f64 y y #s(literal 1 binary64))))
51.5%
(*.f64 x #s(approx (exp (* y y)) (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 y y) y) y) (*.f64 (*.f64 (*.f64 y y) y) y) #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 (*.f64 y y) y) y #s(literal 1 binary64)) (fma.f64 y y #s(literal -1 binary64))))))
44.5%
(*.f64 x #s(approx (exp (* y y)) #s(approx (+ (* (+ (* 1/2 (* y y)) 1) (* y y)) 1) (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/2 binary64) #s(literal 1 binary64)) y) y))))
44.3%
(*.f64 x #s(approx (exp (* y y)) #s(approx (+ (* (+ (* 1/2 (* y y)) 1) (* y y)) 1) (*.f64 (*.f64 (*.f64 y y) y) (*.f64 #s(literal 1/2 binary64) y)))))
34.5%
(*.f64 x #s(approx (exp (* y y)) #s(approx (+ (* y y) 1) (*.f64 y y))))
50.2%
(*.f64 x #s(approx (exp (* y y)) #s(literal 1 binary64)))
84.9%
(*.f64 x #s(approx (exp y) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y #s(literal 1 binary64))))
87.9%
#s(approx (* x (exp (* y y))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 y y) x) x) (*.f64 y y) x))
41.8%
#s(approx (* x (exp (* y y))) (fma.f64 (/.f64 (*.f64 x (-.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 y y) x)) (*.f64 y y)) x)) (-.f64 (*.f64 (*.f64 (*.f64 y y) #s(literal 1/2 binary64)) x) x)) (*.f64 y y) x))
94.1%
#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 x (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) (*.f64 y y) x))
87.6%
#s(approx (* x (exp (* y y))) (fma.f64 #s(approx (+ (* 1/2 (* (* y y) x)) x) (*.f64 (*.f64 (*.f64 y y) x) #s(literal 1/2 binary64))) (*.f64 y y) x))
42.0%
#s(approx (* x (exp (* y y))) #s(approx (+ (* (+ (* 1/2 (* (* y y) x)) x) (* y y)) x) (*.f64 (*.f64 y x) (*.f64 (*.f64 (*.f64 y y) #s(literal 1/2 binary64)) y))))
82.3%
#s(approx (* x (exp y)) (fma.f64 (*.f64 y x) (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) x))
60.2%
#s(approx (* x (exp y)) (fma.f64 y x x))
Compiler

Compiled 533 to 261 computations (51% saved)

simplify136.0ms (0.5%)

Memory
6.7MiB live, 84.0MiB allocated
Algorithm
egg-herbie
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
cost-diff0
(fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))
cost-diff0
(*.f64 x (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)))
cost-diff0
(fma.f64 (*.f64 x (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) (*.f64 y y) x)
cost-diff0
#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 x (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) (*.f64 y y) x))
cost-diff0
(*.f64 (*.f64 (*.f64 y y) x) #s(literal 1/2 binary64))
cost-diff0
#s(approx (+ (* 1/2 (* (* y y) x)) x) (*.f64 (*.f64 (*.f64 y y) x) #s(literal 1/2 binary64)))
cost-diff0
(fma.f64 #s(approx (+ (* 1/2 (* (* y y) x)) x) (*.f64 (*.f64 (*.f64 y y) x) #s(literal 1/2 binary64))) (*.f64 y y) x)
cost-diff0
#s(approx (* x (exp (* y y))) (fma.f64 #s(approx (+ (* 1/2 (* (* y y) x)) x) (*.f64 (*.f64 (*.f64 y y) x) #s(literal 1/2 binary64))) (*.f64 y y) x))
cost-diff0
(fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64))
cost-diff0
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y #s(literal 1 binary64))
cost-diff0
#s(approx (exp y) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y #s(literal 1 binary64)))
cost-diff0
(*.f64 x #s(approx (exp y) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y #s(literal 1 binary64))))
cost-diff0
(fma.f64 y x x)
cost-diff0
#s(approx (* x (exp y)) (fma.f64 y x x))
cost-diff0
(fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))
cost-diff0
(fma.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)) (*.f64 y y) #s(literal 1 binary64))
cost-diff0
#s(approx (exp (* y y)) (fma.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)) (*.f64 y y) #s(literal 1 binary64)))
cost-diff0
(*.f64 x #s(approx (exp (* y y)) (fma.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)) (*.f64 y y) #s(literal 1 binary64))))
Rules
3 498×lower-fma.f32
3 480×lower-fma.f64
2 376×distribute-lft-in
2 318×distribute-rgt-in
1 518×associate-+r+
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
034321
059321
1112321
2202321
3525321
41361321
52813321
64883321
74919321
85037321
95037321
105037321
116155321
127595321
137688321
147703321
157718321
167718321
177718321
08246308
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(*.f64 x #s(approx (exp (* y y)) (fma.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)) (*.f64 y y) #s(literal 1 binary64))))
x
#s(approx (exp (* y y)) (fma.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)) (*.f64 y y) #s(literal 1 binary64)))
(fma.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)) (*.f64 y y) #s(literal 1 binary64))
(fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))
(fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64))
(*.f64 y y)
y
#s(literal 1/6 binary64)
#s(literal 1/2 binary64)
#s(literal 1 binary64)
#s(approx (* x (exp y)) (fma.f64 y x x))
(fma.f64 y x x)
y
x
(*.f64 x #s(approx (exp y) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y #s(literal 1 binary64))))
x
#s(approx (exp y) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y #s(literal 1 binary64)))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y #s(literal 1 binary64))
(fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64))
(fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64))
#s(literal 1/6 binary64)
y
#s(literal 1/2 binary64)
#s(literal 1 binary64)
#s(approx (* x (exp (* y y))) (fma.f64 #s(approx (+ (* 1/2 (* (* y y) x)) x) (*.f64 (*.f64 (*.f64 y y) x) #s(literal 1/2 binary64))) (*.f64 y y) x))
(fma.f64 #s(approx (+ (* 1/2 (* (* y y) x)) x) (*.f64 (*.f64 (*.f64 y y) x) #s(literal 1/2 binary64))) (*.f64 y y) x)
#s(approx (+ (* 1/2 (* (* y y) x)) x) (*.f64 (*.f64 (*.f64 y y) x) #s(literal 1/2 binary64)))
(*.f64 (*.f64 (*.f64 y y) x) #s(literal 1/2 binary64))
(*.f64 (*.f64 y y) x)
(*.f64 y y)
y
x
#s(literal 1/2 binary64)
#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 x (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) (*.f64 y y) x))
(fma.f64 (*.f64 x (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) (*.f64 y y) x)
(*.f64 x (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)))
x
(fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))
(fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64))
(*.f64 y y)
y
#s(literal 1/6 binary64)
#s(literal 1/2 binary64)
#s(literal 1 binary64)
Outputs
(*.f64 x #s(approx (exp (* y y)) (fma.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (exp (* y y)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)) (*.f64 y y) #s(literal 1 binary64))) x)
x
#s(approx (exp (* y y)) (fma.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)) (*.f64 y y) #s(literal 1 binary64)))
#s(approx (exp (* y y)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)) (*.f64 y y) #s(literal 1 binary64)))
(fma.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)) (*.f64 y y) #s(literal 1 binary64))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)) (*.f64 y y) #s(literal 1 binary64))
(fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))
(fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))
(fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64))
(fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1/2 binary64))
(*.f64 y y)
y
#s(literal 1/6 binary64)
#s(literal 1/2 binary64)
#s(literal 1 binary64)
#s(approx (* x (exp y)) (fma.f64 y x x))
(fma.f64 y x x)
y
x
(*.f64 x #s(approx (exp y) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y #s(literal 1 binary64))))
(*.f64 #s(approx (exp y) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y #s(literal 1 binary64))) x)
x
#s(approx (exp y) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y #s(literal 1 binary64)))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y #s(literal 1 binary64))
(fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64))
(fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64))
#s(literal 1/6 binary64)
y
#s(literal 1/2 binary64)
#s(literal 1 binary64)
#s(approx (* x (exp (* y y))) (fma.f64 #s(approx (+ (* 1/2 (* (* y y) x)) x) (*.f64 (*.f64 (*.f64 y y) x) #s(literal 1/2 binary64))) (*.f64 y y) x))
#s(approx (* x (exp (* y y))) (fma.f64 #s(approx (+ (* 1/2 (* (* y y) x)) x) (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) y) x) y)) (*.f64 y y) x))
(fma.f64 #s(approx (+ (* 1/2 (* (* y y) x)) x) (*.f64 (*.f64 (*.f64 y y) x) #s(literal 1/2 binary64))) (*.f64 y y) x)
(fma.f64 #s(approx (+ (* 1/2 (* (* y y) x)) x) (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) y) x) y)) (*.f64 y y) x)
#s(approx (+ (* 1/2 (* (* y y) x)) x) (*.f64 (*.f64 (*.f64 y y) x) #s(literal 1/2 binary64)))
#s(approx (+ (* 1/2 (* (* y y) x)) x) (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) y) x) y))
(*.f64 (*.f64 (*.f64 y y) x) #s(literal 1/2 binary64))
(*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) y) x) y)
(*.f64 (*.f64 y y) x)
(*.f64 y y)
y
x
#s(literal 1/2 binary64)
#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 x (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) (*.f64 y y) x))
#s(approx (* x (exp (* y y))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)) (*.f64 y y) #s(literal 1 binary64)) x))
(fma.f64 (*.f64 x (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) (*.f64 y y) x)
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)) (*.f64 y y) #s(literal 1 binary64)) x)
(*.f64 x (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)))
(*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)) x)
x
(fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))
(fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))
(fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64))
(fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1/2 binary64))
(*.f64 y y)
y
#s(literal 1/6 binary64)
#s(literal 1/2 binary64)
#s(literal 1 binary64)

localize195.0ms (0.7%)

Memory
-32.6MiB live, 186.9MiB allocated
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
accuracy0.046875
(fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))
accuracy0.10546875
(fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64))
accuracy1.9103400411405314
(*.f64 x (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)))
accuracy4.448077738564082
#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 x (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) (*.f64 y y) x))
accuracy0.05078125
(fma.f64 #s(approx (+ (* 1/2 (* (* y y) x)) x) (*.f64 (*.f64 (*.f64 y y) x) #s(literal 1/2 binary64))) (*.f64 y y) x)
accuracy7.76890122442511
#s(approx (* x (exp (* y y))) (fma.f64 #s(approx (+ (* 1/2 (* (* y y) x)) x) (*.f64 (*.f64 (*.f64 y y) x) #s(literal 1/2 binary64))) (*.f64 y y) x))
accuracy10.218382040781849
(*.f64 (*.f64 y y) x)
accuracy29.921706565459477
#s(approx (+ (* 1/2 (* (* y y) x)) x) (*.f64 (*.f64 (*.f64 y y) x) #s(literal 1/2 binary64)))
accuracy0.0234375
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y #s(literal 1 binary64))
accuracy0.0703125
(fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64))
accuracy0.14453125
(fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64))
accuracy11.985537314841407
#s(approx (exp y) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y #s(literal 1 binary64)))
accuracy0
(fma.f64 y x x)
accuracy25.15455049638332
#s(approx (* x (exp y)) (fma.f64 y x x))
accuracy0.0234375
(fma.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)) (*.f64 y y) #s(literal 1 binary64))
accuracy0.046875
(fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))
accuracy0.10546875
(fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64))
accuracy4.865565961170442
#s(approx (exp (* y y)) (fma.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)) (*.f64 y y) #s(literal 1 binary64)))
Samples
88.0ms256×0valid
Compiler

Compiled 226 to 35 computations (84.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 70.0ms
ival-mult: 46.0ms (65.5% of total)
ival-add: 16.0ms (22.8% of total)
ival-exp: 4.0ms (5.7% of total)
const: 4.0ms (5.7% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series52.0ms (0.2%)

Memory
15.8MiB live, 51.5MiB allocated
Counts
20 → 384
Calls
Call 1
Inputs
#s(alt (*.f64 x #s(approx (exp (* y y)) (fma.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)) (*.f64 y y) #s(literal 1 binary64)))) (patch (*.f64 x #s(approx (exp (* y y)) (fma.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)) (*.f64 y y) #s(literal 1 binary64)))) #<representation binary64>) () ())
#s(alt #s(approx (exp (* y y)) (fma.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)) (*.f64 y y) #s(literal 1 binary64))) (patch #s(approx (exp (* y y)) (fma.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)) (*.f64 y y) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)) (*.f64 y y) #s(literal 1 binary64)) (patch (fma.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)) (*.f64 y y) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)) (patch (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (* x (exp y)) (fma.f64 y x x)) (patch #s(approx (* x (exp y)) (fma.f64 y x x)) #<representation binary64>) () ())
#s(alt (fma.f64 y x x) (patch (fma.f64 y x x) #<representation binary64>) () ())
#s(alt (*.f64 x #s(approx (exp y) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y #s(literal 1 binary64)))) (patch (*.f64 x #s(approx (exp y) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y #s(literal 1 binary64)))) #<representation binary64>) () ())
#s(alt #s(approx (exp y) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y #s(literal 1 binary64))) (patch #s(approx (exp y) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y #s(literal 1 binary64)) (patch (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) (patch (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (* x (exp (* y y))) (fma.f64 #s(approx (+ (* 1/2 (* (* y y) x)) x) (*.f64 (*.f64 (*.f64 y y) x) #s(literal 1/2 binary64))) (*.f64 y y) x)) (patch #s(approx (* x (exp (* y y))) (fma.f64 #s(approx (+ (* 1/2 (* (* y y) x)) x) (*.f64 (*.f64 (*.f64 y y) x) #s(literal 1/2 binary64))) (*.f64 y y) x)) #<representation binary64>) () ())
#s(alt (fma.f64 #s(approx (+ (* 1/2 (* (* y y) x)) x) (*.f64 (*.f64 (*.f64 y y) x) #s(literal 1/2 binary64))) (*.f64 y y) x) (patch (fma.f64 #s(approx (+ (* 1/2 (* (* y y) x)) x) (*.f64 (*.f64 (*.f64 y y) x) #s(literal 1/2 binary64))) (*.f64 y y) x) #<representation binary64>) () ())
#s(alt #s(approx (+ (* 1/2 (* (* y y) x)) x) (*.f64 (*.f64 (*.f64 y y) x) #s(literal 1/2 binary64))) (patch #s(approx (+ (* 1/2 (* (* y y) x)) x) (*.f64 (*.f64 (*.f64 y y) x) #s(literal 1/2 binary64))) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 (*.f64 y y) x) #s(literal 1/2 binary64)) (patch (*.f64 (*.f64 (*.f64 y y) x) #s(literal 1/2 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (* x (exp (* y y))) (fma.f64 (*.f64 x (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) (*.f64 y y) x)) (patch #s(approx (* x (exp (* y y))) (fma.f64 (*.f64 x (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) (*.f64 y y) x)) #<representation binary64>) () ())
#s(alt (fma.f64 (*.f64 x (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) (*.f64 y y) x) (patch (fma.f64 (*.f64 x (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) (*.f64 y y) x) #<representation binary64>) () ())
#s(alt (*.f64 x (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) (patch (*.f64 x (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (patch (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #<representation binary64>) () ())
#s(alt (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) (patch (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 y y) x) (patch (*.f64 (*.f64 y y) x) #<representation binary64>) () ())
Outputs
#s(alt (* x (exp (pow y 2))) (taylor 0 x) (#s(alt (*.f64 x #s(approx (exp (* y y)) (fma.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)) (*.f64 y y) #s(literal 1 binary64)))) (patch (*.f64 x #s(approx (exp (* y y)) (fma.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)) (*.f64 y y) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* x (exp (pow y 2))) (taylor 0 x) (#s(alt (*.f64 x #s(approx (exp (* y y)) (fma.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)) (*.f64 y y) #s(literal 1 binary64)))) (patch (*.f64 x #s(approx (exp (* y y)) (fma.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)) (*.f64 y y) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* x (exp (pow y 2))) (taylor 0 x) (#s(alt (*.f64 x #s(approx (exp (* y y)) (fma.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)) (*.f64 y y) #s(literal 1 binary64)))) (patch (*.f64 x #s(approx (exp (* y y)) (fma.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)) (*.f64 y y) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* x (exp (pow y 2))) (taylor 0 x) (#s(alt (*.f64 x #s(approx (exp (* y y)) (fma.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)) (*.f64 y y) #s(literal 1 binary64)))) (patch (*.f64 x #s(approx (exp (* y y)) (fma.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)) (*.f64 y y) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* x (exp (pow y 2))) (taylor inf x) (#s(alt (*.f64 x #s(approx (exp (* y y)) (fma.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)) (*.f64 y y) #s(literal 1 binary64)))) (patch (*.f64 x #s(approx (exp (* y y)) (fma.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)) (*.f64 y y) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* x (exp (pow y 2))) (taylor inf x) (#s(alt (*.f64 x #s(approx (exp (* y y)) (fma.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)) (*.f64 y y) #s(literal 1 binary64)))) (patch (*.f64 x #s(approx (exp (* y y)) (fma.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)) (*.f64 y y) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* x (exp (pow y 2))) (taylor inf x) (#s(alt (*.f64 x #s(approx (exp (* y y)) (fma.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)) (*.f64 y y) #s(literal 1 binary64)))) (patch (*.f64 x #s(approx (exp (* y y)) (fma.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)) (*.f64 y y) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* x (exp (pow y 2))) (taylor inf x) (#s(alt (*.f64 x #s(approx (exp (* y y)) (fma.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)) (*.f64 y y) #s(literal 1 binary64)))) (patch (*.f64 x #s(approx (exp (* y y)) (fma.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)) (*.f64 y y) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* x (exp (pow y 2))) (taylor -inf x) (#s(alt (*.f64 x #s(approx (exp (* y y)) (fma.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)) (*.f64 y y) #s(literal 1 binary64)))) (patch (*.f64 x #s(approx (exp (* y y)) (fma.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)) (*.f64 y y) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* x (exp (pow y 2))) (taylor -inf x) (#s(alt (*.f64 x #s(approx (exp (* y y)) (fma.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)) (*.f64 y y) #s(literal 1 binary64)))) (patch (*.f64 x #s(approx (exp (* y y)) (fma.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)) (*.f64 y y) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* x (exp (pow y 2))) (taylor -inf x) (#s(alt (*.f64 x #s(approx (exp (* y y)) (fma.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)) (*.f64 y y) #s(literal 1 binary64)))) (patch (*.f64 x #s(approx (exp (* y y)) (fma.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)) (*.f64 y y) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* x (exp (pow y 2))) (taylor -inf x) (#s(alt (*.f64 x #s(approx (exp (* y y)) (fma.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)) (*.f64 y y) #s(literal 1 binary64)))) (patch (*.f64 x #s(approx (exp (* y y)) (fma.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)) (*.f64 y y) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 y) (#s(alt (*.f64 x #s(approx (exp (* y y)) (fma.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)) (*.f64 y y) #s(literal 1 binary64)))) (patch (*.f64 x #s(approx (exp (* y y)) (fma.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)) (*.f64 y y) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ x (* x (pow y 2))) (taylor 0 y) (#s(alt (*.f64 x #s(approx (exp (* y y)) (fma.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)) (*.f64 y y) #s(literal 1 binary64)))) (patch (*.f64 x #s(approx (exp (* y y)) (fma.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)) (*.f64 y y) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ x (* (pow y 2) (+ x (* 1/2 (* x (pow y 2)))))) (taylor 0 y) (#s(alt (*.f64 x #s(approx (exp (* y y)) (fma.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)) (*.f64 y y) #s(literal 1 binary64)))) (patch (*.f64 x #s(approx (exp (* y y)) (fma.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)) (*.f64 y y) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ x (* (pow y 2) (+ x (* (pow y 2) (+ (* 1/6 (* x (pow y 2))) (* 1/2 x)))))) (taylor 0 y) (#s(alt (*.f64 x #s(approx (exp (* y y)) (fma.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)) (*.f64 y y) #s(literal 1 binary64)))) (patch (*.f64 x #s(approx (exp (* y y)) (fma.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)) (*.f64 y y) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* x (exp (pow y 2))) (taylor inf y) (#s(alt (*.f64 x #s(approx (exp (* y y)) (fma.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)) (*.f64 y y) #s(literal 1 binary64)))) (patch (*.f64 x #s(approx (exp (* y y)) (fma.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)) (*.f64 y y) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* x (exp (pow y 2))) (taylor inf y) (#s(alt (*.f64 x #s(approx (exp (* y y)) (fma.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)) (*.f64 y y) #s(literal 1 binary64)))) (patch (*.f64 x #s(approx (exp (* y y)) (fma.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)) (*.f64 y y) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* x (exp (pow y 2))) (taylor inf y) (#s(alt (*.f64 x #s(approx (exp (* y y)) (fma.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)) (*.f64 y y) #s(literal 1 binary64)))) (patch (*.f64 x #s(approx (exp (* y y)) (fma.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)) (*.f64 y y) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* x (exp (pow y 2))) (taylor inf y) (#s(alt (*.f64 x #s(approx (exp (* y y)) (fma.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)) (*.f64 y y) #s(literal 1 binary64)))) (patch (*.f64 x #s(approx (exp (* y y)) (fma.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)) (*.f64 y y) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* x (exp (pow y 2))) (taylor -inf y) (#s(alt (*.f64 x #s(approx (exp (* y y)) (fma.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)) (*.f64 y y) #s(literal 1 binary64)))) (patch (*.f64 x #s(approx (exp (* y y)) (fma.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)) (*.f64 y y) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* x (exp (pow y 2))) (taylor -inf y) (#s(alt (*.f64 x #s(approx (exp (* y y)) (fma.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)) (*.f64 y y) #s(literal 1 binary64)))) (patch (*.f64 x #s(approx (exp (* y y)) (fma.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)) (*.f64 y y) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* x (exp (pow y 2))) (taylor -inf y) (#s(alt (*.f64 x #s(approx (exp (* y y)) (fma.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)) (*.f64 y y) #s(literal 1 binary64)))) (patch (*.f64 x #s(approx (exp (* y y)) (fma.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)) (*.f64 y y) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* x (exp (pow y 2))) (taylor -inf y) (#s(alt (*.f64 x #s(approx (exp (* y y)) (fma.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)) (*.f64 y y) #s(literal 1 binary64)))) (patch (*.f64 x #s(approx (exp (* y y)) (fma.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)) (*.f64 y y) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 y) (#s(alt #s(approx (exp (* y y)) (fma.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)) (*.f64 y y) #s(literal 1 binary64))) (patch #s(approx (exp (* y y)) (fma.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)) (*.f64 y y) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (pow y 2)) (taylor 0 y) (#s(alt #s(approx (exp (* y y)) (fma.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)) (*.f64 y y) #s(literal 1 binary64))) (patch #s(approx (exp (* y y)) (fma.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)) (*.f64 y y) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* (pow y 2) (+ 1 (* 1/2 (pow y 2))))) (taylor 0 y) (#s(alt #s(approx (exp (* y y)) (fma.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)) (*.f64 y y) #s(literal 1 binary64))) (patch #s(approx (exp (* y y)) (fma.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)) (*.f64 y y) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* (pow y 2) (+ 1 (* (pow y 2) (+ 1/2 (* 1/6 (pow y 2))))))) (taylor 0 y) (#s(alt #s(approx (exp (* y y)) (fma.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)) (*.f64 y y) #s(literal 1 binary64))) (patch #s(approx (exp (* y y)) (fma.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)) (*.f64 y y) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (exp (pow y 2)) (taylor inf y) (#s(alt #s(approx (exp (* y y)) (fma.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)) (*.f64 y y) #s(literal 1 binary64))) (patch #s(approx (exp (* y y)) (fma.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)) (*.f64 y y) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
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#s(alt (* (pow y 2) (+ 1/6 (* 1/2 (/ 1 (pow y 2))))) (taylor inf y) (#s(alt (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (patch (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (+ 1/6 (* 1/2 (/ 1 (pow y 2))))) (taylor inf y) (#s(alt (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (patch (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (+ 1/6 (* 1/2 (/ 1 (pow y 2))))) (taylor inf y) (#s(alt (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (patch (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/6 (pow y 2)) (taylor -inf y) (#s(alt (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (patch (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (+ 1/6 (* 1/2 (/ 1 (pow y 2))))) (taylor -inf y) (#s(alt (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (patch (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (+ 1/6 (* 1/2 (/ 1 (pow y 2))))) (taylor -inf y) (#s(alt (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (patch (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (+ 1/6 (* 1/2 (/ 1 (pow y 2))))) (taylor -inf y) (#s(alt (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (patch (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt 1/2 (taylor 0 y) (#s(alt (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) (patch (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1/2 (* 1/6 y)) (taylor 0 y) (#s(alt (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) (patch (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1/2 (* 1/6 y)) (taylor 0 y) (#s(alt (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) (patch (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1/2 (* 1/6 y)) (taylor 0 y) (#s(alt (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) (patch (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/6 y) (taylor inf y) (#s(alt (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) (patch (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1/6 (* 1/2 (/ 1 y)))) (taylor inf y) (#s(alt (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) (patch (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1/6 (* 1/2 (/ 1 y)))) (taylor inf y) (#s(alt (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) (patch (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1/6 (* 1/2 (/ 1 y)))) (taylor inf y) (#s(alt (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) (patch (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/6 y) (taylor -inf y) (#s(alt (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) (patch (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1/6 (* 1/2 (/ 1 y)))) (taylor -inf y) (#s(alt (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) (patch (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1/6 (* 1/2 (/ 1 y)))) (taylor -inf y) (#s(alt (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) (patch (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1/6 (* 1/2 (/ 1 y)))) (taylor -inf y) (#s(alt (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) (patch (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (pow y 2)) (taylor 0 y) (#s(alt (*.f64 (*.f64 y y) x) (patch (*.f64 (*.f64 y y) x) #<representation binary64>) () ())) ())
#s(alt (* x (pow y 2)) (taylor 0 y) (#s(alt (*.f64 (*.f64 y y) x) (patch (*.f64 (*.f64 y y) x) #<representation binary64>) () ())) ())
#s(alt (* x (pow y 2)) (taylor 0 y) (#s(alt (*.f64 (*.f64 y y) x) (patch (*.f64 (*.f64 y y) x) #<representation binary64>) () ())) ())
#s(alt (* x (pow y 2)) (taylor 0 y) (#s(alt (*.f64 (*.f64 y y) x) (patch (*.f64 (*.f64 y y) x) #<representation binary64>) () ())) ())
#s(alt (* x (pow y 2)) (taylor inf y) (#s(alt (*.f64 (*.f64 y y) x) (patch (*.f64 (*.f64 y y) x) #<representation binary64>) () ())) ())
#s(alt (* x (pow y 2)) (taylor inf y) (#s(alt (*.f64 (*.f64 y y) x) (patch (*.f64 (*.f64 y y) x) #<representation binary64>) () ())) ())
#s(alt (* x (pow y 2)) (taylor inf y) (#s(alt (*.f64 (*.f64 y y) x) (patch (*.f64 (*.f64 y y) x) #<representation binary64>) () ())) ())
#s(alt (* x (pow y 2)) (taylor inf y) (#s(alt (*.f64 (*.f64 y y) x) (patch (*.f64 (*.f64 y y) x) #<representation binary64>) () ())) ())
#s(alt (* x (pow y 2)) (taylor -inf y) (#s(alt (*.f64 (*.f64 y y) x) (patch (*.f64 (*.f64 y y) x) #<representation binary64>) () ())) ())
#s(alt (* x (pow y 2)) (taylor -inf y) (#s(alt (*.f64 (*.f64 y y) x) (patch (*.f64 (*.f64 y y) x) #<representation binary64>) () ())) ())
#s(alt (* x (pow y 2)) (taylor -inf y) (#s(alt (*.f64 (*.f64 y y) x) (patch (*.f64 (*.f64 y y) x) #<representation binary64>) () ())) ())
#s(alt (* x (pow y 2)) (taylor -inf y) (#s(alt (*.f64 (*.f64 y y) x) (patch (*.f64 (*.f64 y y) x) #<representation binary64>) () ())) ())
#s(alt (* x (pow y 2)) (taylor 0 x) (#s(alt (*.f64 (*.f64 y y) x) (patch (*.f64 (*.f64 y y) x) #<representation binary64>) () ())) ())
#s(alt (* x (pow y 2)) (taylor 0 x) (#s(alt (*.f64 (*.f64 y y) x) (patch (*.f64 (*.f64 y y) x) #<representation binary64>) () ())) ())
#s(alt (* x (pow y 2)) (taylor 0 x) (#s(alt (*.f64 (*.f64 y y) x) (patch (*.f64 (*.f64 y y) x) #<representation binary64>) () ())) ())
#s(alt (* x (pow y 2)) (taylor 0 x) (#s(alt (*.f64 (*.f64 y y) x) (patch (*.f64 (*.f64 y y) x) #<representation binary64>) () ())) ())
#s(alt (* x (pow y 2)) (taylor inf x) (#s(alt (*.f64 (*.f64 y y) x) (patch (*.f64 (*.f64 y y) x) #<representation binary64>) () ())) ())
#s(alt (* x (pow y 2)) (taylor inf x) (#s(alt (*.f64 (*.f64 y y) x) (patch (*.f64 (*.f64 y y) x) #<representation binary64>) () ())) ())
#s(alt (* x (pow y 2)) (taylor inf x) (#s(alt (*.f64 (*.f64 y y) x) (patch (*.f64 (*.f64 y y) x) #<representation binary64>) () ())) ())
#s(alt (* x (pow y 2)) (taylor inf x) (#s(alt (*.f64 (*.f64 y y) x) (patch (*.f64 (*.f64 y y) x) #<representation binary64>) () ())) ())
#s(alt (* x (pow y 2)) (taylor -inf x) (#s(alt (*.f64 (*.f64 y y) x) (patch (*.f64 (*.f64 y y) x) #<representation binary64>) () ())) ())
#s(alt (* x (pow y 2)) (taylor -inf x) (#s(alt (*.f64 (*.f64 y y) x) (patch (*.f64 (*.f64 y y) x) #<representation binary64>) () ())) ())
#s(alt (* x (pow y 2)) (taylor -inf x) (#s(alt (*.f64 (*.f64 y y) x) (patch (*.f64 (*.f64 y y) x) #<representation binary64>) () ())) ())
#s(alt (* x (pow y 2)) (taylor -inf x) (#s(alt (*.f64 (*.f64 y y) x) (patch (*.f64 (*.f64 y y) x) #<representation binary64>) () ())) ())
Calls

96 calls:

TimeVariablePointExpression
3.0ms
y
@inf
(+ (* 1/6 y) 1/2)
1.0ms
x
@0
(+ (* (* x (+ (* (+ (* (* y y) 1/6) 1/2) (* y y)) 1)) (* y y)) x)
0.0ms
x
@inf
(+ (* (* x (+ (* (+ (* (* y y) 1/6) 1/2) (* y y)) 1)) (* y y)) x)
0.0ms
x
@-inf
(+ (* (* x (+ (* (+ (* (* y y) 1/6) 1/2) (* y y)) 1)) (* y y)) x)
0.0ms
x
@inf
(* x (+ (* (+ (* (* y y) 1/6) 1/2) (* y y)) 1))

simplify292.0ms (1.1%)

Memory
-6.0MiB live, 271.7MiB allocated
Algorithm
egg-herbie
Rules
22 552×lower-fma.f64
22 552×lower-fma.f32
3 590×lower-*.f64
3 590×lower-*.f32
3 492×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01693146
15593146
215772992
336992978
472972978
081912701
Stop Event
iter limit
node limit
Counts
384 → 374
Calls
Call 1
Inputs
(* x (exp (pow y 2)))
(* x (exp (pow y 2)))
(* x (exp (pow y 2)))
(* x (exp (pow y 2)))
(* x (exp (pow y 2)))
(* x (exp (pow y 2)))
(* x (exp (pow y 2)))
(* x (exp (pow y 2)))
(* x (exp (pow y 2)))
(* x (exp (pow y 2)))
(* x (exp (pow y 2)))
(* x (exp (pow y 2)))
x
(+ x (* x (pow y 2)))
(+ x (* (pow y 2) (+ x (* 1/2 (* x (pow y 2))))))
(+ x (* (pow y 2) (+ x (* (pow y 2) (+ (* 1/6 (* x (pow y 2))) (* 1/2 x))))))
(* x (exp (pow y 2)))
(* x (exp (pow y 2)))
(* x (exp (pow y 2)))
(* x (exp (pow y 2)))
(* x (exp (pow y 2)))
(* x (exp (pow y 2)))
(* x (exp (pow y 2)))
(* x (exp (pow y 2)))
1
(+ 1 (pow y 2))
(+ 1 (* (pow y 2) (+ 1 (* 1/2 (pow y 2)))))
(+ 1 (* (pow y 2) (+ 1 (* (pow y 2) (+ 1/2 (* 1/6 (pow y 2)))))))
(exp (pow y 2))
(exp (pow y 2))
(exp (pow y 2))
(exp (pow y 2))
(exp (pow y 2))
(exp (pow y 2))
(exp (pow y 2))
(exp (pow y 2))
1
(+ 1 (pow y 2))
(+ 1 (* (pow y 2) (+ 1 (* 1/2 (pow y 2)))))
(+ 1 (* (pow y 2) (+ 1 (* (pow y 2) (+ 1/2 (* 1/6 (pow y 2)))))))
(* 1/6 (pow y 6))
(* (pow y 6) (+ 1/6 (* 1/2 (/ 1 (pow y 2)))))
(* (pow y 6) (+ 1/6 (+ (* 1/2 (/ 1 (pow y 2))) (/ 1 (pow y 4)))))
(* (pow y 6) (+ 1/6 (+ (* 1/2 (/ 1 (pow y 2))) (+ (/ 1 (pow y 4)) (/ 1 (pow y 6))))))
(* 1/6 (pow y 6))
(* (pow y 6) (+ 1/6 (* 1/2 (/ 1 (pow y 2)))))
(* (pow y 6) (+ 1/6 (+ (* 1/2 (/ 1 (pow y 2))) (/ 1 (pow y 4)))))
(* (pow y 6) (+ 1/6 (+ (* 1/2 (/ 1 (pow y 2))) (+ (/ 1 (pow y 4)) (/ 1 (pow y 6))))))
1
(+ 1 (* 1/2 (pow y 2)))
(+ 1 (* (pow y 2) (+ 1/2 (* 1/6 (pow y 2)))))
(+ 1 (* (pow y 2) (+ 1/2 (* 1/6 (pow y 2)))))
(* 1/6 (pow y 4))
(* (pow y 4) (+ 1/6 (* 1/2 (/ 1 (pow y 2)))))
(* (pow y 4) (+ 1/6 (+ (* 1/2 (/ 1 (pow y 2))) (/ 1 (pow y 4)))))
(* (pow y 4) (+ 1/6 (+ (* 1/2 (/ 1 (pow y 2))) (/ 1 (pow y 4)))))
(* 1/6 (pow y 4))
(* (pow y 4) (+ 1/6 (* 1/2 (/ 1 (pow y 2)))))
(* (pow y 4) (+ 1/6 (+ (* 1/2 (/ 1 (pow y 2))) (/ 1 (pow y 4)))))
(* (pow y 4) (+ 1/6 (+ (* 1/2 (/ 1 (pow y 2))) (/ 1 (pow y 4)))))
(* x (exp y))
(* x (exp y))
(* x (exp y))
(* x (exp y))
(* x (exp y))
(* x (exp y))
(* x (exp y))
(* x (exp y))
(* x (exp y))
(* x (exp y))
(* x (exp y))
(* x (exp y))
x
(+ x (* x y))
(+ x (* y (+ x (* 1/2 (* x y)))))
(+ x (* y (+ x (* y (+ (* 1/6 (* x y)) (* 1/2 x))))))
(* x (exp y))
(* x (exp y))
(* x (exp y))
(* x (exp y))
(* x (exp y))
(* x (exp y))
(* x (exp y))
(* x (exp y))
x
(+ x (* x y))
(+ x (* x y))
(+ x (* x y))
(* x y)
(* y (+ x (/ x y)))
(* y (+ x (/ x y)))
(* y (+ x (/ x y)))
(* x y)
(* -1 (* y (+ (* -1 x) (* -1 (/ x y)))))
(* -1 (* y (+ (* -1 x) (* -1 (/ x y)))))
(* -1 (* y (+ (* -1 x) (* -1 (/ x y)))))
(* x (+ 1 y))
(* x (+ 1 y))
(* x (+ 1 y))
(* x (+ 1 y))
(* x (+ 1 y))
(* x (+ 1 y))
(* x (+ 1 y))
(* x (+ 1 y))
(* -1 (* x (- (* -1 y) 1)))
(* -1 (* x (- (* -1 y) 1)))
(* -1 (* x (- (* -1 y) 1)))
(* -1 (* x (- (* -1 y) 1)))
(* x (exp y))
(* x (exp y))
(* x (exp y))
(* x (exp y))
(* x (exp y))
(* x (exp y))
(* x (exp y))
(* x (exp y))
(* x (exp y))
(* x (exp y))
(* x (exp y))
(* x (exp y))
x
(+ x (* x y))
(+ x (* y (+ x (* 1/2 (* x y)))))
(+ x (* y (+ x (* y (+ (* 1/6 (* x y)) (* 1/2 x))))))
(* x (exp y))
(* x (exp y))
(* x (exp y))
(* x (exp y))
(* x (exp y))
(* x (exp y))
(* x (exp y))
(* x (exp y))
1
(+ 1 y)
(+ 1 (* y (+ 1 (* 1/2 y))))
(+ 1 (* y (+ 1 (* y (+ 1/2 (* 1/6 y))))))
(exp y)
(exp y)
(exp y)
(exp y)
(exp y)
(exp y)
(exp y)
(exp y)
1
(+ 1 y)
(+ 1 (* y (+ 1 (* 1/2 y))))
(+ 1 (* y (+ 1 (* y (+ 1/2 (* 1/6 y))))))
(* 1/6 (pow y 3))
(* (pow y 3) (+ 1/6 (* 1/2 (/ 1 y))))
(* (pow y 3) (+ 1/6 (+ (* 1/2 (/ 1 y)) (/ 1 (pow y 2)))))
(* (pow y 3) (+ 1/6 (+ (* 1/2 (/ 1 y)) (+ (/ 1 (pow y 2)) (/ 1 (pow y 3))))))
(* 1/6 (pow y 3))
(* (pow y 3) (+ 1/6 (* 1/2 (/ 1 y))))
(* -1 (* (pow y 3) (- (* -1 (/ (+ 1/2 (/ 1 y)) y)) 1/6)))
(* -1 (* (pow y 3) (- (* -1 (/ (+ 1/2 (+ (/ 1 y) (/ 1 (pow y 2)))) y)) 1/6)))
1
(+ 1 (* 1/2 y))
(+ 1 (* y (+ 1/2 (* 1/6 y))))
(+ 1 (* y (+ 1/2 (* 1/6 y))))
(* 1/6 (pow y 2))
(* (pow y 2) (+ 1/6 (* 1/2 (/ 1 y))))
(* (pow y 2) (+ 1/6 (+ (* 1/2 (/ 1 y)) (/ 1 (pow y 2)))))
(* (pow y 2) (+ 1/6 (+ (* 1/2 (/ 1 y)) (/ 1 (pow y 2)))))
(* 1/6 (pow y 2))
(* (pow y 2) (+ 1/6 (* 1/2 (/ 1 y))))
(* (pow y 2) (+ 1/6 (+ (* 1/2 (/ 1 y)) (/ 1 (pow y 2)))))
(* (pow y 2) (+ 1/6 (+ (* 1/2 (/ 1 y)) (/ 1 (pow y 2)))))
(* x (exp (pow y 2)))
(* x (exp (pow y 2)))
(* x (exp (pow y 2)))
(* x (exp (pow y 2)))
(* x (exp (pow y 2)))
(* x (exp (pow y 2)))
(* x (exp (pow y 2)))
(* x (exp (pow y 2)))
(* x (exp (pow y 2)))
(* x (exp (pow y 2)))
(* x (exp (pow y 2)))
(* x (exp (pow y 2)))
x
(+ x (* x (pow y 2)))
(+ x (* (pow y 2) (+ x (* 1/2 (* x (pow y 2))))))
(+ x (* (pow y 2) (+ x (* (pow y 2) (+ (* 1/6 (* x (pow y 2))) (* 1/2 x))))))
(* x (exp (pow y 2)))
(* x (exp (pow y 2)))
(* x (exp (pow y 2)))
(* x (exp (pow y 2)))
(* x (exp (pow y 2)))
(* x (exp (pow y 2)))
(* x (exp (pow y 2)))
(* x (exp (pow y 2)))
x
(+ x (* x (pow y 2)))
(+ x (* (pow y 2) (+ x (* 1/2 (* x (pow y 2))))))
(+ x (* (pow y 2) (+ x (* 1/2 (* x (pow y 2))))))
(* 1/2 (* x (pow y 4)))
(* (pow y 4) (+ (* 1/2 x) (/ x (pow y 2))))
(* (pow y 4) (+ (* 1/2 x) (+ (/ x (pow y 2)) (/ x (pow y 4)))))
(* (pow y 4) (+ (* 1/2 x) (+ (/ x (pow y 2)) (/ x (pow y 4)))))
(* 1/2 (* x (pow y 4)))
(* (pow y 4) (+ (* 1/2 x) (/ x (pow y 2))))
(* (pow y 4) (+ (* 1/2 x) (+ (/ x (pow y 2)) (/ x (pow y 4)))))
(* (pow y 4) (+ (* 1/2 x) (+ (/ x (pow y 2)) (/ x (pow y 4)))))
(* x (+ 1 (* (pow y 2) (+ 1 (* 1/2 (pow y 2))))))
(* x (+ 1 (* (pow y 2) (+ 1 (* 1/2 (pow y 2))))))
(* x (+ 1 (* (pow y 2) (+ 1 (* 1/2 (pow y 2))))))
(* x (+ 1 (* (pow y 2) (+ 1 (* 1/2 (pow y 2))))))
(* x (+ 1 (* (pow y 2) (+ 1 (* 1/2 (pow y 2))))))
(* x (+ 1 (* (pow y 2) (+ 1 (* 1/2 (pow y 2))))))
(* x (+ 1 (* (pow y 2) (+ 1 (* 1/2 (pow y 2))))))
(* x (+ 1 (* (pow y 2) (+ 1 (* 1/2 (pow y 2))))))
(* -1 (* x (- (* (pow y 2) (- (* -1/2 (pow y 2)) 1)) 1)))
(* -1 (* x (- (* (pow y 2) (- (* -1/2 (pow y 2)) 1)) 1)))
(* -1 (* x (- (* (pow y 2) (- (* -1/2 (pow y 2)) 1)) 1)))
(* -1 (* x (- (* (pow y 2) (- (* -1/2 (pow y 2)) 1)) 1)))
x
(+ x (* 1/2 (* x (pow y 2))))
(+ x (* 1/2 (* x (pow y 2))))
(+ x (* 1/2 (* x (pow y 2))))
(* 1/2 (* x (pow y 2)))
(* (pow y 2) (+ (* 1/2 x) (/ x (pow y 2))))
(* (pow y 2) (+ (* 1/2 x) (/ x (pow y 2))))
(* (pow y 2) (+ (* 1/2 x) (/ x (pow y 2))))
(* 1/2 (* x (pow y 2)))
(* (pow y 2) (+ (* 1/2 x) (/ x (pow y 2))))
(* (pow y 2) (+ (* 1/2 x) (/ x (pow y 2))))
(* (pow y 2) (+ (* 1/2 x) (/ x (pow y 2))))
(* x (+ 1 (* 1/2 (pow y 2))))
(* x (+ 1 (* 1/2 (pow y 2))))
(* x (+ 1 (* 1/2 (pow y 2))))
(* x (+ 1 (* 1/2 (pow y 2))))
(* x (+ 1 (* 1/2 (pow y 2))))
(* x (+ 1 (* 1/2 (pow y 2))))
(* x (+ 1 (* 1/2 (pow y 2))))
(* x (+ 1 (* 1/2 (pow y 2))))
(* -1 (* x (- (* -1/2 (pow y 2)) 1)))
(* -1 (* x (- (* -1/2 (pow y 2)) 1)))
(* -1 (* x (- (* -1/2 (pow y 2)) 1)))
(* -1 (* x (- (* -1/2 (pow y 2)) 1)))
(* 1/2 (* x (pow y 2)))
(* 1/2 (* x (pow y 2)))
(* 1/2 (* x (pow y 2)))
(* 1/2 (* x (pow y 2)))
(* 1/2 (* x (pow y 2)))
(* 1/2 (* x (pow y 2)))
(* 1/2 (* x (pow y 2)))
(* 1/2 (* x (pow y 2)))
(* 1/2 (* x (pow y 2)))
(* 1/2 (* x (pow y 2)))
(* 1/2 (* x (pow y 2)))
(* 1/2 (* x (pow y 2)))
(* 1/2 (* x (pow y 2)))
(* 1/2 (* x (pow y 2)))
(* 1/2 (* x (pow y 2)))
(* 1/2 (* x (pow y 2)))
(* 1/2 (* x (pow y 2)))
(* 1/2 (* x (pow y 2)))
(* 1/2 (* x (pow y 2)))
(* 1/2 (* x (pow y 2)))
(* 1/2 (* x (pow y 2)))
(* 1/2 (* x (pow y 2)))
(* 1/2 (* x (pow y 2)))
(* 1/2 (* x (pow y 2)))
(* x (exp (pow y 2)))
(* x (exp (pow y 2)))
(* x (exp (pow y 2)))
(* x (exp (pow y 2)))
(* x (exp (pow y 2)))
(* x (exp (pow y 2)))
(* x (exp (pow y 2)))
(* x (exp (pow y 2)))
(* x (exp (pow y 2)))
(* x (exp (pow y 2)))
(* x (exp (pow y 2)))
(* x (exp (pow y 2)))
x
(+ x (* x (pow y 2)))
(+ x (* (pow y 2) (+ x (* 1/2 (* x (pow y 2))))))
(+ x (* (pow y 2) (+ x (* (pow y 2) (+ (* 1/6 (* x (pow y 2))) (* 1/2 x))))))
(* x (exp (pow y 2)))
(* x (exp (pow y 2)))
(* x (exp (pow y 2)))
(* x (exp (pow y 2)))
(* x (exp (pow y 2)))
(* x (exp (pow y 2)))
(* x (exp (pow y 2)))
(* x (exp (pow y 2)))
(* x (+ 1 (* (pow y 2) (+ 1 (* (pow y 2) (+ 1/2 (* 1/6 (pow y 2))))))))
(* x (+ 1 (* (pow y 2) (+ 1 (* (pow y 2) (+ 1/2 (* 1/6 (pow y 2))))))))
(* x (+ 1 (* (pow y 2) (+ 1 (* (pow y 2) (+ 1/2 (* 1/6 (pow y 2))))))))
(* x (+ 1 (* (pow y 2) (+ 1 (* (pow y 2) (+ 1/2 (* 1/6 (pow y 2))))))))
(* x (+ 1 (* (pow y 2) (+ 1 (* (pow y 2) (+ 1/2 (* 1/6 (pow y 2))))))))
(* x (+ 1 (* (pow y 2) (+ 1 (* (pow y 2) (+ 1/2 (* 1/6 (pow y 2))))))))
(* x (+ 1 (* (pow y 2) (+ 1 (* (pow y 2) (+ 1/2 (* 1/6 (pow y 2))))))))
(* x (+ 1 (* (pow y 2) (+ 1 (* (pow y 2) (+ 1/2 (* 1/6 (pow y 2))))))))
(* -1 (* x (- (* -1 (* (pow y 2) (+ 1 (* (pow y 2) (+ 1/2 (* 1/6 (pow y 2))))))) 1)))
(* -1 (* x (- (* -1 (* (pow y 2) (+ 1 (* (pow y 2) (+ 1/2 (* 1/6 (pow y 2))))))) 1)))
(* -1 (* x (- (* -1 (* (pow y 2) (+ 1 (* (pow y 2) (+ 1/2 (* 1/6 (pow y 2))))))) 1)))
(* -1 (* x (- (* -1 (* (pow y 2) (+ 1 (* (pow y 2) (+ 1/2 (* 1/6 (pow y 2))))))) 1)))
x
(+ x (* x (pow y 2)))
(+ x (* (pow y 2) (+ x (* 1/2 (* x (pow y 2))))))
(+ x (* (pow y 2) (+ x (* (pow y 2) (+ (* 1/6 (* x (pow y 2))) (* 1/2 x))))))
(* 1/6 (* x (pow y 6)))
(* (pow y 6) (+ (* 1/6 x) (* 1/2 (/ x (pow y 2)))))
(* (pow y 6) (+ (* 1/6 x) (+ (* 1/2 (/ x (pow y 2))) (/ x (pow y 4)))))
(* (pow y 6) (+ (* 1/6 x) (+ (* 1/2 (/ x (pow y 2))) (+ (/ x (pow y 4)) (/ x (pow y 6))))))
(* 1/6 (* x (pow y 6)))
(* (pow y 6) (+ (* 1/6 x) (* 1/2 (/ x (pow y 2)))))
(* (pow y 6) (+ (* 1/6 x) (+ (* 1/2 (/ x (pow y 2))) (/ x (pow y 4)))))
(* (pow y 6) (+ (* 1/6 x) (+ (* 1/2 (/ x (pow y 2))) (+ (/ x (pow y 4)) (/ x (pow y 6))))))
(* x (+ 1 (* (pow y 2) (+ 1/2 (* 1/6 (pow y 2))))))
(* x (+ 1 (* (pow y 2) (+ 1/2 (* 1/6 (pow y 2))))))
(* x (+ 1 (* (pow y 2) (+ 1/2 (* 1/6 (pow y 2))))))
(* x (+ 1 (* (pow y 2) (+ 1/2 (* 1/6 (pow y 2))))))
(* x (+ 1 (* (pow y 2) (+ 1/2 (* 1/6 (pow y 2))))))
(* x (+ 1 (* (pow y 2) (+ 1/2 (* 1/6 (pow y 2))))))
(* x (+ 1 (* (pow y 2) (+ 1/2 (* 1/6 (pow y 2))))))
(* x (+ 1 (* (pow y 2) (+ 1/2 (* 1/6 (pow y 2))))))
(* x (+ 1 (* (pow y 2) (+ 1/2 (* 1/6 (pow y 2))))))
(* x (+ 1 (* (pow y 2) (+ 1/2 (* 1/6 (pow y 2))))))
(* x (+ 1 (* (pow y 2) (+ 1/2 (* 1/6 (pow y 2))))))
(* x (+ 1 (* (pow y 2) (+ 1/2 (* 1/6 (pow y 2))))))
x
(+ x (* 1/2 (* x (pow y 2))))
(+ x (* (pow y 2) (+ (* 1/6 (* x (pow y 2))) (* 1/2 x))))
(+ x (* (pow y 2) (+ (* 1/6 (* x (pow y 2))) (* 1/2 x))))
(* 1/6 (* x (pow y 4)))
(* (pow y 4) (+ (* 1/6 x) (* 1/2 (/ x (pow y 2)))))
(* (pow y 4) (+ (* 1/6 x) (+ (* 1/2 (/ x (pow y 2))) (/ x (pow y 4)))))
(* (pow y 4) (+ (* 1/6 x) (+ (* 1/2 (/ x (pow y 2))) (/ x (pow y 4)))))
(* 1/6 (* x (pow y 4)))
(* (pow y 4) (+ (* 1/6 x) (* 1/2 (/ x (pow y 2)))))
(* (pow y 4) (+ (* 1/6 x) (+ (* 1/2 (/ x (pow y 2))) (/ x (pow y 4)))))
(* (pow y 4) (+ (* 1/6 x) (+ (* 1/2 (/ x (pow y 2))) (/ x (pow y 4)))))
1/2
(+ 1/2 (* 1/6 (pow y 2)))
(+ 1/2 (* 1/6 (pow y 2)))
(+ 1/2 (* 1/6 (pow y 2)))
(* 1/6 (pow y 2))
(* (pow y 2) (+ 1/6 (* 1/2 (/ 1 (pow y 2)))))
(* (pow y 2) (+ 1/6 (* 1/2 (/ 1 (pow y 2)))))
(* (pow y 2) (+ 1/6 (* 1/2 (/ 1 (pow y 2)))))
(* 1/6 (pow y 2))
(* (pow y 2) (+ 1/6 (* 1/2 (/ 1 (pow y 2)))))
(* (pow y 2) (+ 1/6 (* 1/2 (/ 1 (pow y 2)))))
(* (pow y 2) (+ 1/6 (* 1/2 (/ 1 (pow y 2)))))
1/2
(+ 1/2 (* 1/6 y))
(+ 1/2 (* 1/6 y))
(+ 1/2 (* 1/6 y))
(* 1/6 y)
(* y (+ 1/6 (* 1/2 (/ 1 y))))
(* y (+ 1/6 (* 1/2 (/ 1 y))))
(* y (+ 1/6 (* 1/2 (/ 1 y))))
(* 1/6 y)
(* y (+ 1/6 (* 1/2 (/ 1 y))))
(* y (+ 1/6 (* 1/2 (/ 1 y))))
(* y (+ 1/6 (* 1/2 (/ 1 y))))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
Outputs
(* x (exp (pow y 2)))
(*.f64 (exp.f64 (*.f64 y y)) x)
(* x (exp (pow y 2)))
(*.f64 (exp.f64 (*.f64 y y)) x)
(* x (exp (pow y 2)))
(*.f64 (exp.f64 (*.f64 y y)) x)
(* x (exp (pow y 2)))
(*.f64 (exp.f64 (*.f64 y y)) x)
(* x (exp (pow y 2)))
(*.f64 (exp.f64 (*.f64 y y)) x)
(* x (exp (pow y 2)))
(*.f64 (exp.f64 (*.f64 y y)) x)
(* x (exp (pow y 2)))
(*.f64 (exp.f64 (*.f64 y y)) x)
(* x (exp (pow y 2)))
(*.f64 (exp.f64 (*.f64 y y)) x)
(* x (exp (pow y 2)))
(*.f64 (exp.f64 (*.f64 y y)) x)
(* x (exp (pow y 2)))
(*.f64 (exp.f64 (*.f64 y y)) x)
(* x (exp (pow y 2)))
(*.f64 (exp.f64 (*.f64 y y)) x)
(* x (exp (pow y 2)))
(*.f64 (exp.f64 (*.f64 y y)) x)
x
(+ x (* x (pow y 2)))
(fma.f64 (*.f64 y y) x x)
(+ x (* (pow y 2) (+ x (* 1/2 (* x (pow y 2))))))
(*.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y y) #s(literal 1 binary64)) (*.f64 y y) #s(literal 1 binary64)) x)
(+ x (* (pow y 2) (+ x (* (pow y 2) (+ (* 1/6 (* x (pow y 2))) (* 1/2 x))))))
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)) (*.f64 y y) #s(literal 1 binary64)) x)
(* x (exp (pow y 2)))
(*.f64 (exp.f64 (*.f64 y y)) x)
(* x (exp (pow y 2)))
(*.f64 (exp.f64 (*.f64 y y)) x)
(* x (exp (pow y 2)))
(*.f64 (exp.f64 (*.f64 y y)) x)
(* x (exp (pow y 2)))
(*.f64 (exp.f64 (*.f64 y y)) x)
(* x (exp (pow y 2)))
(*.f64 (exp.f64 (*.f64 y y)) x)
(* x (exp (pow y 2)))
(*.f64 (exp.f64 (*.f64 y y)) x)
(* x (exp (pow y 2)))
(*.f64 (exp.f64 (*.f64 y y)) x)
(* x (exp (pow y 2)))
(*.f64 (exp.f64 (*.f64 y y)) x)
1
#s(literal 1 binary64)
(+ 1 (pow y 2))
(fma.f64 y y #s(literal 1 binary64))
(+ 1 (* (pow y 2) (+ 1 (* 1/2 (pow y 2)))))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y y) #s(literal 1 binary64)) (*.f64 y y) #s(literal 1 binary64))
(+ 1 (* (pow y 2) (+ 1 (* (pow y 2) (+ 1/2 (* 1/6 (pow y 2)))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)) (*.f64 y y) #s(literal 1 binary64))
(exp (pow y 2))
(exp.f64 (*.f64 y y))
(exp (pow y 2))
(exp.f64 (*.f64 y y))
(exp (pow y 2))
(exp.f64 (*.f64 y y))
(exp (pow y 2))
(exp.f64 (*.f64 y y))
(exp (pow y 2))
(exp.f64 (*.f64 y y))
(exp (pow y 2))
(exp.f64 (*.f64 y y))
(exp (pow y 2))
(exp.f64 (*.f64 y y))
(exp (pow y 2))
(exp.f64 (*.f64 y y))
1
#s(literal 1 binary64)
(+ 1 (pow y 2))
(fma.f64 y y #s(literal 1 binary64))
(+ 1 (* (pow y 2) (+ 1 (* 1/2 (pow y 2)))))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y y) #s(literal 1 binary64)) (*.f64 y y) #s(literal 1 binary64))
(+ 1 (* (pow y 2) (+ 1 (* (pow y 2) (+ 1/2 (* 1/6 (pow y 2)))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)) (*.f64 y y) #s(literal 1 binary64))
(* 1/6 (pow y 6))
(*.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1/6 binary64))
(* (pow y 6) (+ 1/6 (* 1/2 (/ 1 (pow y 2)))))
(*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 y y)) #s(literal 1/6 binary64)) (pow.f64 y #s(literal 6 binary64)))
(* (pow y 6) (+ 1/6 (+ (* 1/2 (/ 1 (pow y 2))) (/ 1 (pow y 4)))))
(*.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) (*.f64 y y))) (/.f64 #s(literal 1/2 binary64) (*.f64 y y))) #s(literal 1/6 binary64)) (pow.f64 y #s(literal 6 binary64)))
(* (pow y 6) (+ 1/6 (+ (* 1/2 (/ 1 (pow y 2))) (+ (/ 1 (pow y 4)) (/ 1 (pow y 6))))))
(fma.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) (*.f64 y y))) (/.f64 #s(literal 1/2 binary64) (*.f64 y y))) #s(literal 1/6 binary64)) (pow.f64 y #s(literal 6 binary64)) #s(literal 1 binary64))
(* 1/6 (pow y 6))
(*.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1/6 binary64))
(* (pow y 6) (+ 1/6 (* 1/2 (/ 1 (pow y 2)))))
(*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 y y)) #s(literal 1/6 binary64)) (pow.f64 y #s(literal 6 binary64)))
(* (pow y 6) (+ 1/6 (+ (* 1/2 (/ 1 (pow y 2))) (/ 1 (pow y 4)))))
(*.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) (*.f64 y y))) (/.f64 #s(literal 1/2 binary64) (*.f64 y y))) #s(literal 1/6 binary64)) (pow.f64 y #s(literal 6 binary64)))
(* (pow y 6) (+ 1/6 (+ (* 1/2 (/ 1 (pow y 2))) (+ (/ 1 (pow y 4)) (/ 1 (pow y 6))))))
(fma.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) (*.f64 y y))) (/.f64 #s(literal 1/2 binary64) (*.f64 y y))) #s(literal 1/6 binary64)) (pow.f64 y #s(literal 6 binary64)) #s(literal 1 binary64))
1
#s(literal 1 binary64)
(+ 1 (* 1/2 (pow y 2)))
(fma.f64 #s(literal 1/2 binary64) (*.f64 y y) #s(literal 1 binary64))
(+ 1 (* (pow y 2) (+ 1/2 (* 1/6 (pow y 2)))))
(fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))
(+ 1 (* (pow y 2) (+ 1/2 (* 1/6 (pow y 2)))))
(fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))
(* 1/6 (pow y 4))
(*.f64 (*.f64 (*.f64 (*.f64 y y) y) #s(literal 1/6 binary64)) y)
(* (pow y 4) (+ 1/6 (* 1/2 (/ 1 (pow y 2)))))
(*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1/2 binary64)) y) y)
(* (pow y 4) (+ 1/6 (+ (* 1/2 (/ 1 (pow y 2))) (/ 1 (pow y 4)))))
(fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))
(* (pow y 4) (+ 1/6 (+ (* 1/2 (/ 1 (pow y 2))) (/ 1 (pow y 4)))))
(fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))
(* 1/6 (pow y 4))
(*.f64 (*.f64 (*.f64 (*.f64 y y) y) #s(literal 1/6 binary64)) y)
(* (pow y 4) (+ 1/6 (* 1/2 (/ 1 (pow y 2)))))
(*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1/2 binary64)) y) y)
(* (pow y 4) (+ 1/6 (+ (* 1/2 (/ 1 (pow y 2))) (/ 1 (pow y 4)))))
(fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))
(* (pow y 4) (+ 1/6 (+ (* 1/2 (/ 1 (pow y 2))) (/ 1 (pow y 4)))))
(fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))
(* x (exp y))
(*.f64 (exp.f64 y) x)
(* x (exp y))
(*.f64 (exp.f64 y) x)
(* x (exp y))
(*.f64 (exp.f64 y) x)
(* x (exp y))
(*.f64 (exp.f64 y) x)
(* x (exp y))
(*.f64 (exp.f64 y) x)
(* x (exp y))
(*.f64 (exp.f64 y) x)
(* x (exp y))
(*.f64 (exp.f64 y) x)
(* x (exp y))
(*.f64 (exp.f64 y) x)
(* x (exp y))
(*.f64 (exp.f64 y) x)
(* x (exp y))
(*.f64 (exp.f64 y) x)
(* x (exp y))
(*.f64 (exp.f64 y) x)
(* x (exp y))
(*.f64 (exp.f64 y) x)
x
(+ x (* x y))
(fma.f64 y x x)
(+ x (* y (+ x (* 1/2 (* x y)))))
(fma.f64 (fma.f64 (*.f64 y x) #s(literal 1/2 binary64) x) y x)
(+ x (* y (+ x (* y (+ (* 1/6 (* x y)) (* 1/2 x))))))
(fma.f64 (fma.f64 (*.f64 x (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64))) y x) y x)
(* x (exp y))
(*.f64 (exp.f64 y) x)
(* x (exp y))
(*.f64 (exp.f64 y) x)
(* x (exp y))
(*.f64 (exp.f64 y) x)
(* x (exp y))
(*.f64 (exp.f64 y) x)
(* x (exp y))
(*.f64 (exp.f64 y) x)
(* x (exp y))
(*.f64 (exp.f64 y) x)
(* x (exp y))
(*.f64 (exp.f64 y) x)
(* x (exp y))
(*.f64 (exp.f64 y) x)
x
(+ x (* x y))
(fma.f64 y x x)
(+ x (* x y))
(fma.f64 y x x)
(+ x (* x y))
(fma.f64 y x x)
(* x y)
(*.f64 y x)
(* y (+ x (/ x y)))
(fma.f64 y x x)
(* y (+ x (/ x y)))
(fma.f64 y x x)
(* y (+ x (/ x y)))
(fma.f64 y x x)
(* x y)
(*.f64 y x)
(* -1 (* y (+ (* -1 x) (* -1 (/ x y)))))
(fma.f64 y x x)
(* -1 (* y (+ (* -1 x) (* -1 (/ x y)))))
(fma.f64 y x x)
(* -1 (* y (+ (* -1 x) (* -1 (/ x y)))))
(fma.f64 y x x)
(* x (+ 1 y))
(fma.f64 y x x)
(* x (+ 1 y))
(fma.f64 y x x)
(* x (+ 1 y))
(fma.f64 y x x)
(* x (+ 1 y))
(fma.f64 y x x)
(* x (+ 1 y))
(fma.f64 y x x)
(* x (+ 1 y))
(fma.f64 y x x)
(* x (+ 1 y))
(fma.f64 y x x)
(* x (+ 1 y))
(fma.f64 y x x)
(* -1 (* x (- (* -1 y) 1)))
(fma.f64 y x x)
(* -1 (* x (- (* -1 y) 1)))
(fma.f64 y x x)
(* -1 (* x (- (* -1 y) 1)))
(fma.f64 y x x)
(* -1 (* x (- (* -1 y) 1)))
(fma.f64 y x x)
(* x (exp y))
(*.f64 (exp.f64 y) x)
(* x (exp y))
(*.f64 (exp.f64 y) x)
(* x (exp y))
(*.f64 (exp.f64 y) x)
(* x (exp y))
(*.f64 (exp.f64 y) x)
(* x (exp y))
(*.f64 (exp.f64 y) x)
(* x (exp y))
(*.f64 (exp.f64 y) x)
(* x (exp y))
(*.f64 (exp.f64 y) x)
(* x (exp y))
(*.f64 (exp.f64 y) x)
(* x (exp y))
(*.f64 (exp.f64 y) x)
(* x (exp y))
(*.f64 (exp.f64 y) x)
(* x (exp y))
(*.f64 (exp.f64 y) x)
(* x (exp y))
(*.f64 (exp.f64 y) x)
x
(+ x (* x y))
(fma.f64 y x x)
(+ x (* y (+ x (* 1/2 (* x y)))))
(fma.f64 (fma.f64 (*.f64 y x) #s(literal 1/2 binary64) x) y x)
(+ x (* y (+ x (* y (+ (* 1/6 (* x y)) (* 1/2 x))))))
(fma.f64 (fma.f64 (*.f64 x (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64))) y x) y x)
(* x (exp y))
(*.f64 (exp.f64 y) x)
(* x (exp y))
(*.f64 (exp.f64 y) x)
(* x (exp y))
(*.f64 (exp.f64 y) x)
(* x (exp y))
(*.f64 (exp.f64 y) x)
(* x (exp y))
(*.f64 (exp.f64 y) x)
(* x (exp y))
(*.f64 (exp.f64 y) x)
(* x (exp y))
(*.f64 (exp.f64 y) x)
(* x (exp y))
(*.f64 (exp.f64 y) x)
1
#s(literal 1 binary64)
(+ 1 y)
(-.f64 y #s(literal -1 binary64))
(+ 1 (* y (+ 1 (* 1/2 y))))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal 1 binary64)) y #s(literal 1 binary64))
(+ 1 (* y (+ 1 (* y (+ 1/2 (* 1/6 y))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y #s(literal 1 binary64))
(exp y)
(exp.f64 y)
(exp y)
(exp.f64 y)
(exp y)
(exp.f64 y)
(exp y)
(exp.f64 y)
(exp y)
(exp.f64 y)
(exp y)
(exp.f64 y)
(exp y)
(exp.f64 y)
(exp y)
(exp.f64 y)
1
#s(literal 1 binary64)
(+ 1 y)
(-.f64 y #s(literal -1 binary64))
(+ 1 (* y (+ 1 (* 1/2 y))))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal 1 binary64)) y #s(literal 1 binary64))
(+ 1 (* y (+ 1 (* y (+ 1/2 (* 1/6 y))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y #s(literal 1 binary64))
(* 1/6 (pow y 3))
(*.f64 (*.f64 (*.f64 y y) y) #s(literal 1/6 binary64))
(* (pow y 3) (+ 1/6 (* 1/2 (/ 1 y))))
(*.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) (*.f64 y y))
(* (pow y 3) (+ 1/6 (+ (* 1/2 (/ 1 y)) (/ 1 (pow y 2)))))
(fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) (*.f64 y y) y)
(* (pow y 3) (+ 1/6 (+ (* 1/2 (/ 1 y)) (+ (/ 1 (pow y 2)) (/ 1 (pow y 3))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y #s(literal 1 binary64))
(* 1/6 (pow y 3))
(*.f64 (*.f64 (*.f64 y y) y) #s(literal 1/6 binary64))
(* (pow y 3) (+ 1/6 (* 1/2 (/ 1 y))))
(*.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) (*.f64 y y))
(* -1 (* (pow y 3) (- (* -1 (/ (+ 1/2 (/ 1 y)) y)) 1/6)))
(fma.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) y)) (*.f64 (neg.f64 y) y) (*.f64 (*.f64 (*.f64 y y) y) #s(literal 1/6 binary64)))
(* -1 (* (pow y 3) (- (* -1 (/ (+ 1/2 (+ (/ 1 y) (/ 1 (pow y 2)))) y)) 1/6)))
(neg.f64 (fma.f64 (-.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 y y))) (/.f64 #s(literal 1 binary64) y)) (*.f64 y y) (*.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 y y) y))))
1
#s(literal 1 binary64)
(+ 1 (* 1/2 y))
(fma.f64 #s(literal 1/2 binary64) y #s(literal 1 binary64))
(+ 1 (* y (+ 1/2 (* 1/6 y))))
(fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64))
(+ 1 (* y (+ 1/2 (* 1/6 y))))
(fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64))
(* 1/6 (pow y 2))
(*.f64 #s(literal 1/6 binary64) (*.f64 y y))
(* (pow y 2) (+ 1/6 (* 1/2 (/ 1 y))))
(*.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y)
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(*.f64 (*.f64 (pow.f64 y #s(literal 6 binary64)) x) #s(literal 1/6 binary64))
(* (pow y 6) (+ (* 1/6 x) (* 1/2 (/ x (pow y 2)))))
(*.f64 (*.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 y y)) #s(literal 1/6 binary64))) (pow.f64 y #s(literal 6 binary64)))
(* (pow y 6) (+ (* 1/6 x) (+ (* 1/2 (/ x (pow y 2))) (/ x (pow y 4)))))
(*.f64 (fma.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 y y)) #s(literal 1/6 binary64)) (/.f64 x (*.f64 (*.f64 y y) (*.f64 y y)))) (pow.f64 y #s(literal 6 binary64)))
(* (pow y 6) (+ (* 1/6 x) (+ (* 1/2 (/ x (pow y 2))) (+ (/ x (pow y 4)) (/ x (pow y 6))))))
(fma.f64 (fma.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 y y)) #s(literal 1/6 binary64)) (/.f64 x (*.f64 (*.f64 y y) (*.f64 y y)))) (pow.f64 y #s(literal 6 binary64)) x)
(* x (+ 1 (* (pow y 2) (+ 1/2 (* 1/6 (pow y 2))))))
(*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)) x)
(* x (+ 1 (* (pow y 2) (+ 1/2 (* 1/6 (pow y 2))))))
(*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)) x)
(* x (+ 1 (* (pow y 2) (+ 1/2 (* 1/6 (pow y 2))))))
(*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)) x)
(* x (+ 1 (* (pow y 2) (+ 1/2 (* 1/6 (pow y 2))))))
(*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)) x)
(* x (+ 1 (* (pow y 2) (+ 1/2 (* 1/6 (pow y 2))))))
(*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)) x)
(* x (+ 1 (* (pow y 2) (+ 1/2 (* 1/6 (pow y 2))))))
(*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)) x)
(* x (+ 1 (* (pow y 2) (+ 1/2 (* 1/6 (pow y 2))))))
(*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)) x)
(* x (+ 1 (* (pow y 2) (+ 1/2 (* 1/6 (pow y 2))))))
(*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)) x)
(* x (+ 1 (* (pow y 2) (+ 1/2 (* 1/6 (pow y 2))))))
(*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)) x)
(* x (+ 1 (* (pow y 2) (+ 1/2 (* 1/6 (pow y 2))))))
(*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)) x)
(* x (+ 1 (* (pow y 2) (+ 1/2 (* 1/6 (pow y 2))))))
(*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)) x)
(* x (+ 1 (* (pow y 2) (+ 1/2 (* 1/6 (pow y 2))))))
(*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)) x)
x
(+ x (* 1/2 (* x (pow y 2))))
(fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 y y) x) x)
(+ x (* (pow y 2) (+ (* 1/6 (* x (pow y 2))) (* 1/2 x))))
(*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)) x)
(+ x (* (pow y 2) (+ (* 1/6 (* x (pow y 2))) (* 1/2 x))))
(*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)) x)
(* 1/6 (* x (pow y 4)))
(*.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) y) #s(literal 1/6 binary64)) y) x)
(* (pow y 4) (+ (* 1/6 x) (* 1/2 (/ x (pow y 2)))))
(*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1/2 binary64)) (*.f64 (*.f64 y y) x))
(* (pow y 4) (+ (* 1/6 x) (+ (* 1/2 (/ x (pow y 2))) (/ x (pow y 4)))))
(*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)) x)
(* (pow y 4) (+ (* 1/6 x) (+ (* 1/2 (/ x (pow y 2))) (/ x (pow y 4)))))
(*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)) x)
(* 1/6 (* x (pow y 4)))
(*.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) y) #s(literal 1/6 binary64)) y) x)
(* (pow y 4) (+ (* 1/6 x) (* 1/2 (/ x (pow y 2)))))
(*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1/2 binary64)) (*.f64 (*.f64 y y) x))
(* (pow y 4) (+ (* 1/6 x) (+ (* 1/2 (/ x (pow y 2))) (/ x (pow y 4)))))
(*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)) x)
(* (pow y 4) (+ (* 1/6 x) (+ (* 1/2 (/ x (pow y 2))) (/ x (pow y 4)))))
(*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)) x)
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* 1/6 (pow y 2)))
(fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1/2 binary64))
(+ 1/2 (* 1/6 (pow y 2)))
(fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1/2 binary64))
(+ 1/2 (* 1/6 (pow y 2)))
(fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1/2 binary64))
(* 1/6 (pow y 2))
(*.f64 #s(literal 1/6 binary64) (*.f64 y y))
(* (pow y 2) (+ 1/6 (* 1/2 (/ 1 (pow y 2)))))
(fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1/2 binary64))
(* (pow y 2) (+ 1/6 (* 1/2 (/ 1 (pow y 2)))))
(fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1/2 binary64))
(* (pow y 2) (+ 1/6 (* 1/2 (/ 1 (pow y 2)))))
(fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1/2 binary64))
(* 1/6 (pow y 2))
(*.f64 #s(literal 1/6 binary64) (*.f64 y y))
(* (pow y 2) (+ 1/6 (* 1/2 (/ 1 (pow y 2)))))
(fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1/2 binary64))
(* (pow y 2) (+ 1/6 (* 1/2 (/ 1 (pow y 2)))))
(fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1/2 binary64))
(* (pow y 2) (+ 1/6 (* 1/2 (/ 1 (pow y 2)))))
(fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1/2 binary64))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* 1/6 y))
(fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64))
(+ 1/2 (* 1/6 y))
(fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64))
(+ 1/2 (* 1/6 y))
(fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64))
(* 1/6 y)
(*.f64 #s(literal 1/6 binary64) y)
(* y (+ 1/6 (* 1/2 (/ 1 y))))
(fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64))
(* y (+ 1/6 (* 1/2 (/ 1 y))))
(fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64))
(* y (+ 1/6 (* 1/2 (/ 1 y))))
(fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64))
(* 1/6 y)
(*.f64 #s(literal 1/6 binary64) y)
(* y (+ 1/6 (* 1/2 (/ 1 y))))
(fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64))
(* y (+ 1/6 (* 1/2 (/ 1 y))))
(fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64))
(* y (+ 1/6 (* 1/2 (/ 1 y))))
(fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64))
(* x (pow y 2))
(*.f64 (*.f64 y y) x)
(* x (pow y 2))
(*.f64 (*.f64 y y) x)
(* x (pow y 2))
(*.f64 (*.f64 y y) x)
(* x (pow y 2))
(*.f64 (*.f64 y y) x)
(* x (pow y 2))
(*.f64 (*.f64 y y) x)
(* x (pow y 2))
(*.f64 (*.f64 y y) x)
(* x (pow y 2))
(*.f64 (*.f64 y y) x)
(* x (pow y 2))
(*.f64 (*.f64 y y) x)
(* x (pow y 2))
(*.f64 (*.f64 y y) x)
(* x (pow y 2))
(*.f64 (*.f64 y y) x)
(* x (pow y 2))
(*.f64 (*.f64 y y) x)
(* x (pow y 2))
(*.f64 (*.f64 y y) x)
(* x (pow y 2))
(*.f64 (*.f64 y y) x)
(* x (pow y 2))
(*.f64 (*.f64 y y) x)
(* x (pow y 2))
(*.f64 (*.f64 y y) x)
(* x (pow y 2))
(*.f64 (*.f64 y y) x)
(* x (pow y 2))
(*.f64 (*.f64 y y) x)
(* x (pow y 2))
(*.f64 (*.f64 y y) x)
(* x (pow y 2))
(*.f64 (*.f64 y y) x)
(* x (pow y 2))
(*.f64 (*.f64 y y) x)
(* x (pow y 2))
(*.f64 (*.f64 y y) x)
(* x (pow y 2))
(*.f64 (*.f64 y y) x)
(* x (pow y 2))
(*.f64 (*.f64 y y) x)
(* x (pow y 2))
(*.f64 (*.f64 y y) x)

rewrite450.0ms (1.6%)

Memory
24.7MiB live, 259.7MiB allocated
Rules
5 466×lower-*.f32
5 454×lower-*.f64
5 452×lower-fma.f32
5 434×lower-fma.f64
4 178×lower-/.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
034275
059275
1223275
21575275
08178272
Stop Event
iter limit
node limit
iter limit
Counts
20 → 361
Calls
Call 1
Inputs
(*.f64 x #s(approx (exp (* y y)) (fma.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)) (*.f64 y y) #s(literal 1 binary64))))
#s(approx (exp (* y y)) (fma.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)) (*.f64 y y) #s(literal 1 binary64)))
(fma.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)) (*.f64 y y) #s(literal 1 binary64))
(fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))
#s(approx (* x (exp y)) (fma.f64 y x x))
(fma.f64 y x x)
(*.f64 x #s(approx (exp y) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y #s(literal 1 binary64))))
#s(approx (exp y) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y #s(literal 1 binary64)))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y #s(literal 1 binary64))
(fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64))
#s(approx (* x (exp (* y y))) (fma.f64 #s(approx (+ (* 1/2 (* (* y y) x)) x) (*.f64 (*.f64 (*.f64 y y) x) #s(literal 1/2 binary64))) (*.f64 y y) x))
(fma.f64 #s(approx (+ (* 1/2 (* (* y y) x)) x) (*.f64 (*.f64 (*.f64 y y) x) #s(literal 1/2 binary64))) (*.f64 y y) x)
#s(approx (+ (* 1/2 (* (* y y) x)) x) (*.f64 (*.f64 (*.f64 y y) x) #s(literal 1/2 binary64)))
(*.f64 (*.f64 (*.f64 y y) x) #s(literal 1/2 binary64))
#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 x (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) (*.f64 y y) x))
(fma.f64 (*.f64 x (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) (*.f64 y y) x)
(*.f64 x (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)))
(fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64))
(fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64))
(*.f64 (*.f64 y y) x)
Outputs
(*.f64 #s(approx (exp (* y y)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)) (*.f64 y y) #s(literal 1 binary64))) x)
(*.f64 x #s(approx (exp (* y y)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)) (*.f64 y y) #s(literal 1 binary64))))
#s(approx (exp (* y y)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)) (*.f64 y y) #s(literal 1 binary64)))
(*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)) (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)) (*.f64 y y) #s(literal -1 binary64))))
(*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)) y) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)) y)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)) y)) (*.f64 (*.f64 y y) y) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)) (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) (*.f64 (*.f64 y y) (*.f64 y y)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)) y) y)))))
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(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1/2 binary64)) (fma.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 y y)) (*.f64 y y) #s(literal -1/4 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 y y)) (*.f64 y y) (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 y y) #s(literal 1/12 binary64)))) (fma.f64 (*.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 y y) y)) #s(literal 1/216 binary64) #s(literal 1/8 binary64)))))
(/.f64 (neg.f64 (fma.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 y y)) (*.f64 y y) #s(literal -1/4 binary64))) (neg.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1/2 binary64))))
(/.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 y y) y)) #s(literal 1/216 binary64) #s(literal 1/8 binary64))) (neg.f64 (+.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 y y)) (*.f64 y y)) (*.f64 (*.f64 y y) #s(literal 1/12 binary64))))))
(/.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 y y) y)) #s(literal 1/216 binary64) #s(literal 1/8 binary64))) (neg.f64 (fma.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 y y)) (*.f64 y y) (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 y y) #s(literal 1/12 binary64))))))
(/.f64 (fma.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 y y)) (*.f64 y y) #s(literal -1/4 binary64)) (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1/2 binary64)))
(/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 y y) y)) #s(literal 1/216 binary64) #s(literal 1/8 binary64)) (+.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 y y)) (*.f64 y y)) (*.f64 (*.f64 y y) #s(literal 1/12 binary64)))))
(/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 y y) y)) #s(literal 1/216 binary64) #s(literal 1/8 binary64)) (fma.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 y y)) (*.f64 y y) (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 y y) #s(literal 1/12 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1/2 binary64)) (fma.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 y y)) (*.f64 y y) #s(literal -1/4 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 y y)) (*.f64 y y) (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 y y) #s(literal 1/12 binary64)))) (fma.f64 (*.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 y y) y)) #s(literal 1/216 binary64) #s(literal 1/8 binary64))))
(fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1/2 binary64))
(fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1/2 binary64))
(fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64))
(fma.f64 y (*.f64 #s(literal 1/6 binary64) y) #s(literal 1/2 binary64))
(-.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 #s(literal 1/6 binary64) y) y))) (/.f64 (*.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 y y)) (*.f64 y y)) (-.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 #s(literal 1/6 binary64) y) y))))
(-.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 y y)) (*.f64 y y)) (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1/2 binary64))))
(+.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) y) y) #s(literal 1/2 binary64))
(+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 #s(literal 1/6 binary64) y) y))
(*.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 y y) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/6 binary64) y #s(literal -1/2 binary64))))
(*.f64 (fma.f64 #s(literal 1/216 binary64) (*.f64 (*.f64 y y) y) #s(literal 1/8 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/36 binary64) (*.f64 y y) (-.f64 #s(literal 1/4 binary64) (*.f64 y #s(literal 1/12 binary64))))))
(pow.f64 (/.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/36 binary64) (*.f64 y y) #s(literal -1/4 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 y y) (-.f64 #s(literal 1/4 binary64) (*.f64 y #s(literal 1/12 binary64)))) (fma.f64 #s(literal 1/216 binary64) (*.f64 (*.f64 y y) y) #s(literal 1/8 binary64))) #s(literal -1 binary64))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 y y)) (fma.f64 #s(literal 1/6 binary64) y #s(literal -1/2 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 1/6 binary64) y #s(literal -1/2 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 y y)) (fma.f64 #s(literal 1/6 binary64) y #s(literal -1/2 binary64))) (/.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 y y)) (fma.f64 #s(literal 1/6 binary64) y #s(literal -1/2 binary64))) (fma.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 1/6 binary64) y #s(literal -1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 1/6 binary64) y #s(literal -1/2 binary64))) (*.f64 (/.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 y y)) (fma.f64 #s(literal 1/6 binary64) y #s(literal -1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 1/6 binary64) y #s(literal -1/2 binary64)))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/36 binary64) (*.f64 y y)))) (neg.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) y))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 y y) #s(literal -1/4 binary64)))) (neg.f64 (neg.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal -1/2 binary64)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 1/216 binary64) (*.f64 (*.f64 y y) y) #s(literal 1/8 binary64)))) (neg.f64 (neg.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 y y) (-.f64 #s(literal 1/4 binary64) (*.f64 y #s(literal 1/12 binary64)))))))
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 y y)) (*.f64 #s(literal 1/36 binary64) (*.f64 y y))) #s(literal 1/16 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 y y) #s(literal 1/4 binary64)) (fma.f64 #s(literal 1/6 binary64) y #s(literal -1/2 binary64))))
(/.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/46656 binary64) (*.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 y y) y))) #s(literal 1/64 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 y y)) (*.f64 #s(literal 1/36 binary64) (*.f64 y y)) (+.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 y y)) #s(literal 1/4 binary64)))) (fma.f64 #s(literal 1/6 binary64) y #s(literal -1/2 binary64))))
(/.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/46656 binary64) (*.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 y y) y))) #s(literal 1/64 binary64)) #s(literal 1 binary64)) (*.f64 (-.f64 (*.f64 #s(literal 1/216 binary64) (*.f64 (*.f64 y y) y)) #s(literal 1/8 binary64)) (fma.f64 #s(literal 1/36 binary64) (*.f64 y y) (-.f64 #s(literal 1/4 binary64) (*.f64 y #s(literal 1/12 binary64))))))
(/.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/46656 binary64) (*.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 y y) y))) (*.f64 #s(literal 1/216 binary64) (*.f64 (*.f64 y y) y)) #s(literal 1/512 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal 1/46656 binary64) (*.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 y y) y)) (-.f64 #s(literal 1/64 binary64) (*.f64 (*.f64 (*.f64 y y) y) #s(literal 1/1728 binary64)))) (fma.f64 #s(literal 1/36 binary64) (*.f64 y y) (-.f64 #s(literal 1/4 binary64) (*.f64 y #s(literal 1/12 binary64))))))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 y y)) (fma.f64 #s(literal 1/6 binary64) y #s(literal -1/2 binary64))) (*.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal -1/2 binary64)) #s(literal 1/4 binary64))) (*.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/6 binary64) y #s(literal -1/2 binary64))))
(/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/36 binary64) (*.f64 y y))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) y)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/36 binary64) (*.f64 y y) #s(literal -1/4 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 y y) (-.f64 #s(literal 1/4 binary64) (*.f64 y #s(literal 1/12 binary64)))) (fma.f64 #s(literal 1/216 binary64) (*.f64 (*.f64 y y) y) #s(literal 1/8 binary64)))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 y y) #s(literal -1/4 binary64))) (neg.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal -1/2 binary64))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/216 binary64) (*.f64 (*.f64 y y) y) #s(literal 1/8 binary64))) (neg.f64 (+.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 y y)) (*.f64 y #s(literal 1/12 binary64))))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/216 binary64) (*.f64 (*.f64 y y) y) #s(literal 1/8 binary64))) (neg.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 y y) (-.f64 #s(literal 1/4 binary64) (*.f64 y #s(literal 1/12 binary64))))))
(/.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 y y) #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/6 binary64) y #s(literal -1/2 binary64)))
(/.f64 (fma.f64 #s(literal 1/216 binary64) (*.f64 (*.f64 y y) y) #s(literal 1/8 binary64)) (+.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 y y)) (*.f64 y #s(literal 1/12 binary64)))))
(/.f64 (fma.f64 #s(literal 1/216 binary64) (*.f64 (*.f64 y y) y) #s(literal 1/8 binary64)) (fma.f64 #s(literal 1/36 binary64) (*.f64 y y) (-.f64 #s(literal 1/4 binary64) (*.f64 y #s(literal 1/12 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/36 binary64) (*.f64 y y) #s(literal -1/4 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 y y) (-.f64 #s(literal 1/4 binary64) (*.f64 y #s(literal 1/12 binary64)))) (fma.f64 #s(literal 1/216 binary64) (*.f64 (*.f64 y y) y) #s(literal 1/8 binary64))))
(fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64))
(fma.f64 y #s(literal 1/6 binary64) #s(literal 1/2 binary64))
(-.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) y))) (/.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 y y)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) y))))
(-.f64 (/.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 y y)) (fma.f64 #s(literal 1/6 binary64) y #s(literal -1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 1/6 binary64) y #s(literal -1/2 binary64))))
(+.f64 (*.f64 #s(literal 1/6 binary64) y) #s(literal 1/2 binary64))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) y))
(*.f64 (*.f64 y x) y)
(*.f64 (*.f64 y y) x)
(*.f64 y (*.f64 y x))
(*.f64 x (*.f64 y y))

eval798.0ms (2.9%)

Memory
-24.6MiB live, 182.1MiB allocated
Compiler

Compiled 26 451 to 1 678 computations (93.7% saved)

prune18.2s (65.8%)

Memory
12.3MiB live, 210.9MiB allocated
Pruning

33 alts after pruning (25 fresh and 8 done)

PrunedKeptTotal
New81018828
Fresh178
Picked325
Done066
Total81433847
Accuracy
100.0%
Counts
847 → 33
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(*.f64 x (exp.f64 (*.f64 y y)))
98.6%
(*.f64 x (exp.f64 y))
90.8%
(*.f64 x #s(approx (exp (* y y)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y y) #s(literal 1 binary64)) (*.f64 y y) #s(literal 1 binary64))))
95.3%
(*.f64 x #s(approx (exp (* y y)) (fma.f64 #s(approx (+ (* (+ (* (* y y) 1/6) 1/2) (* y y)) 1) (*.f64 (*.f64 (*.f64 (*.f64 y y) y) #s(literal 1/6 binary64)) y)) (*.f64 y y) #s(literal 1 binary64))))
90.5%
(*.f64 x #s(approx (exp (* y y)) (fma.f64 #s(approx (+ (* 1/2 (* y y)) 1) (*.f64 (*.f64 y y) #s(literal 1/2 binary64))) (*.f64 y y) #s(literal 1 binary64))))
80.7%
(*.f64 x #s(approx (exp (* y y)) (fma.f64 y y #s(literal 1 binary64))))
51.5%
(*.f64 x #s(approx (exp (* y y)) (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 y y) y) y) (*.f64 (*.f64 (*.f64 y y) y) y) #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 (*.f64 y y) y) y #s(literal 1 binary64)) (fma.f64 y y #s(literal -1 binary64))))))
44.5%
(*.f64 x #s(approx (exp (* y y)) #s(approx (+ (* (+ (* 1/2 (* y y)) 1) (* y y)) 1) (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/2 binary64) #s(literal 1 binary64)) y) y))))
44.3%
(*.f64 x #s(approx (exp (* y y)) #s(approx (+ (* (+ (* 1/2 (* y y)) 1) (* y y)) 1) (*.f64 (*.f64 (*.f64 y y) y) (*.f64 #s(literal 1/2 binary64) y)))))
34.5%
(*.f64 x #s(approx (exp (* y y)) #s(approx (+ (* y y) 1) (*.f64 y y))))
50.2%
(*.f64 x #s(approx (exp (* y y)) #s(literal 1 binary64)))
84.9%
(*.f64 x #s(approx (exp y) (fma.f64 (fma.f64 #s(approx (+ (* 1/6 y) 1/2) (*.f64 #s(literal 1/6 binary64) y)) y #s(literal 1 binary64)) y #s(literal 1 binary64))))
85.4%
(*.f64 x #s(approx (exp y) (fma.f64 #s(approx (+ (* (+ (* 1/6 y) 1/2) y) 1) (*.f64 #s(literal 1/6 binary64) (*.f64 y y))) y #s(literal 1 binary64))))
40.0%
(*.f64 x #s(approx (exp y) #s(approx (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) (*.f64 y y) y))))
39.4%
(*.f64 x #s(approx (exp y) #s(approx (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (*.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) (*.f64 y y)))))
39.2%
(*.f64 x #s(approx (exp y) #s(approx (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (*.f64 (*.f64 (*.f64 y y) y) #s(literal 1/6 binary64)))))
94.1%
#s(approx (* x (exp (* y y))) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)) (*.f64 (*.f64 y y) x) x))
93.0%
#s(approx (* x (exp (* y y))) (fma.f64 (fma.f64 (*.f64 y y) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1/2 binary64)) x) x) (*.f64 y y) x))
87.9%
#s(approx (* x (exp (* y y))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 y y) x) x) (*.f64 y y) x))
94.1%
#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)) x) y) y x))
87.6%
#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 #s(approx (+ (* 1/2 (* (* y y) x)) x) (*.f64 (*.f64 #s(literal 1/2 binary64) y) (*.f64 y x))) y) y x))
58.9%
#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 x (fma.f64 (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 y y) y)) #s(literal 1/216 binary64) #s(literal 1/8 binary64)) (fma.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 y y)) (*.f64 y y) (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 y y) #s(literal 1/12 binary64))))) (*.f64 y y) #s(literal 1 binary64))) (*.f64 y y) x))
69.9%
#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 x (fma.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 y y)) (*.f64 y y) #s(literal -1/4 binary64)) (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1/2 binary64))) (*.f64 y y) #s(literal 1 binary64))) (*.f64 y y) x))
93.8%
#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 x #s(approx (+ (* (+ (* (* y y) 1/6) 1/2) (* y y)) 1) (*.f64 (*.f64 (*.f64 (*.f64 y y) y) #s(literal 1/6 binary64)) y))) (*.f64 y y) x))
87.6%
#s(approx (* x (exp (* y y))) (fma.f64 #s(approx (+ (* 1/2 (* (* y y) x)) x) (*.f64 (*.f64 (*.f64 y y) x) #s(literal 1/2 binary64))) (*.f64 y y) x))
92.8%
#s(approx (* x (exp (* y y))) (fma.f64 #s(approx (* x (+ (* (+ (* (* y y) 1/6) 1/2) (* y y)) 1)) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1/2 binary64)) (*.f64 (*.f64 y y) x))) (*.f64 y y) x))
41.3%
#s(approx (* x (exp (* y y))) #s(approx (+ (* (+ (* 1/2 (* (* y y) x)) x) (* y y)) x) (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 y y) x)) y) y)))
42.0%
#s(approx (* x (exp (* y y))) #s(approx (+ (* (+ (* 1/2 (* (* y y) x)) x) (* y y)) x) (*.f64 (*.f64 y x) (*.f64 (*.f64 (*.f64 y y) #s(literal 1/2 binary64)) y))))
80.9%
#s(approx (* x (exp y)) (fma.f64 (fma.f64 (*.f64 x (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64))) y x) y x))
82.3%
#s(approx (* x (exp y)) (fma.f64 (*.f64 y x) (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) x))
60.2%
#s(approx (* x (exp y)) (fma.f64 y x x))
40.8%
#s(approx (* x (exp y)) (/.f64 (*.f64 (fma.f64 y x x) (-.f64 (*.f64 y x) x)) (-.f64 (*.f64 y x) x)))
15.3%
#s(approx (* x (exp y)) #s(approx (+ (* y x) x) (*.f64 y x)))
Compiler

Compiled 1 020 to 497 computations (51.3% saved)

simplify111.0ms (0.4%)

Memory
-10.6MiB live, 29.4MiB allocated
Algorithm
egg-herbie
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)) x)
cost-diff0
(*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)) x) y)
cost-diff0
(fma.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)) x) y) y x)
cost-diff0
#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)) x) y) y x))
cost-diff0
#s(approx (+ (* 1/2 (* (* y y) x)) x) (*.f64 (*.f64 #s(literal 1/2 binary64) y) (*.f64 y x)))
cost-diff0
(*.f64 #s(approx (+ (* 1/2 (* (* y y) x)) x) (*.f64 (*.f64 #s(literal 1/2 binary64) y) (*.f64 y x))) y)
cost-diff0
(fma.f64 (*.f64 #s(approx (+ (* 1/2 (* (* y y) x)) x) (*.f64 (*.f64 #s(literal 1/2 binary64) y) (*.f64 y x))) y) y x)
cost-diff0
#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 #s(approx (+ (* 1/2 (* (* y y) x)) x) (*.f64 (*.f64 #s(literal 1/2 binary64) y) (*.f64 y x))) y) y x))
cost-diff0
(fma.f64 #s(approx (+ (* 1/6 y) 1/2) (*.f64 #s(literal 1/6 binary64) y)) y #s(literal 1 binary64))
cost-diff0
(fma.f64 (fma.f64 #s(approx (+ (* 1/6 y) 1/2) (*.f64 #s(literal 1/6 binary64) y)) y #s(literal 1 binary64)) y #s(literal 1 binary64))
cost-diff0
#s(approx (exp y) (fma.f64 (fma.f64 #s(approx (+ (* 1/6 y) 1/2) (*.f64 #s(literal 1/6 binary64) y)) y #s(literal 1 binary64)) y #s(literal 1 binary64)))
cost-diff0
(*.f64 x #s(approx (exp y) (fma.f64 (fma.f64 #s(approx (+ (* 1/6 y) 1/2) (*.f64 #s(literal 1/6 binary64) y)) y #s(literal 1 binary64)) y #s(literal 1 binary64))))
cost-diff0
(*.f64 y x)
cost-diff0
#s(approx (+ (* y x) x) (*.f64 y x))
cost-diff0
#s(approx (* x (exp y)) #s(approx (+ (* y x) x) (*.f64 y x)))
cost-diff0
#s(approx (+ (* (+ (* (* y y) 1/6) 1/2) (* y y)) 1) (*.f64 (*.f64 (*.f64 (*.f64 y y) y) #s(literal 1/6 binary64)) y))
cost-diff0
(fma.f64 #s(approx (+ (* (+ (* (* y y) 1/6) 1/2) (* y y)) 1) (*.f64 (*.f64 (*.f64 (*.f64 y y) y) #s(literal 1/6 binary64)) y)) (*.f64 y y) #s(literal 1 binary64))
cost-diff0
#s(approx (exp (* y y)) (fma.f64 #s(approx (+ (* (+ (* (* y y) 1/6) 1/2) (* y y)) 1) (*.f64 (*.f64 (*.f64 (*.f64 y y) y) #s(literal 1/6 binary64)) y)) (*.f64 y y) #s(literal 1 binary64)))
cost-diff0
(*.f64 x #s(approx (exp (* y y)) (fma.f64 #s(approx (+ (* (+ (* (* y y) 1/6) 1/2) (* y y)) 1) (*.f64 (*.f64 (*.f64 (*.f64 y y) y) #s(literal 1/6 binary64)) y)) (*.f64 y y) #s(literal 1 binary64))))
Rules
2 826×lower-fma.f32
2 812×lower-fma.f64
1 828×distribute-lft-in
1 772×distribute-rgt-in
1 402×associate-+r+
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
050455
080447
1143433
2221423
3353420
4863420
51898420
63912420
75062420
85189420
95272420
105272420
116756420
126756420
136756420
147558420
157691420
167696420
177696420
07696406
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(*.f64 x #s(approx (exp (* y y)) (fma.f64 #s(approx (+ (* (+ (* (* y y) 1/6) 1/2) (* y y)) 1) (*.f64 (*.f64 (*.f64 (*.f64 y y) y) #s(literal 1/6 binary64)) y)) (*.f64 y y) #s(literal 1 binary64))))
x
#s(approx (exp (* y y)) (fma.f64 #s(approx (+ (* (+ (* (* y y) 1/6) 1/2) (* y y)) 1) (*.f64 (*.f64 (*.f64 (*.f64 y y) y) #s(literal 1/6 binary64)) y)) (*.f64 y y) #s(literal 1 binary64)))
(fma.f64 #s(approx (+ (* (+ (* (* y y) 1/6) 1/2) (* y y)) 1) (*.f64 (*.f64 (*.f64 (*.f64 y y) y) #s(literal 1/6 binary64)) y)) (*.f64 y y) #s(literal 1 binary64))
#s(approx (+ (* (+ (* (* y y) 1/6) 1/2) (* y y)) 1) (*.f64 (*.f64 (*.f64 (*.f64 y y) y) #s(literal 1/6 binary64)) y))
(*.f64 (*.f64 (*.f64 (*.f64 y y) y) #s(literal 1/6 binary64)) y)
(*.f64 (*.f64 (*.f64 y y) y) #s(literal 1/6 binary64))
(*.f64 (*.f64 y y) y)
(*.f64 y y)
y
#s(literal 1/6 binary64)
#s(literal 1 binary64)
#s(approx (* x (exp y)) #s(approx (+ (* y x) x) (*.f64 y x)))
#s(approx (+ (* y x) x) (*.f64 y x))
(*.f64 y x)
y
x
(*.f64 x #s(approx (exp y) (fma.f64 (fma.f64 #s(approx (+ (* 1/6 y) 1/2) (*.f64 #s(literal 1/6 binary64) y)) y #s(literal 1 binary64)) y #s(literal 1 binary64))))
x
#s(approx (exp y) (fma.f64 (fma.f64 #s(approx (+ (* 1/6 y) 1/2) (*.f64 #s(literal 1/6 binary64) y)) y #s(literal 1 binary64)) y #s(literal 1 binary64)))
(fma.f64 (fma.f64 #s(approx (+ (* 1/6 y) 1/2) (*.f64 #s(literal 1/6 binary64) y)) y #s(literal 1 binary64)) y #s(literal 1 binary64))
(fma.f64 #s(approx (+ (* 1/6 y) 1/2) (*.f64 #s(literal 1/6 binary64) y)) y #s(literal 1 binary64))
#s(approx (+ (* 1/6 y) 1/2) (*.f64 #s(literal 1/6 binary64) y))
(*.f64 #s(literal 1/6 binary64) y)
#s(literal 1/6 binary64)
y
#s(literal 1 binary64)
#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 #s(approx (+ (* 1/2 (* (* y y) x)) x) (*.f64 (*.f64 #s(literal 1/2 binary64) y) (*.f64 y x))) y) y x))
(fma.f64 (*.f64 #s(approx (+ (* 1/2 (* (* y y) x)) x) (*.f64 (*.f64 #s(literal 1/2 binary64) y) (*.f64 y x))) y) y x)
(*.f64 #s(approx (+ (* 1/2 (* (* y y) x)) x) (*.f64 (*.f64 #s(literal 1/2 binary64) y) (*.f64 y x))) y)
#s(approx (+ (* 1/2 (* (* y y) x)) x) (*.f64 (*.f64 #s(literal 1/2 binary64) y) (*.f64 y x)))
(*.f64 (*.f64 #s(literal 1/2 binary64) y) (*.f64 y x))
(*.f64 #s(literal 1/2 binary64) y)
#s(literal 1/2 binary64)
y
(*.f64 y x)
x
#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)) x) y) y x))
(fma.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)) x) y) y x)
(*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)) x) y)
(*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)) x)
(fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))
(fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1/2 binary64))
#s(literal 1/6 binary64)
(*.f64 y y)
y
#s(literal 1/2 binary64)
#s(literal 1 binary64)
x
Outputs
(*.f64 x #s(approx (exp (* y y)) (fma.f64 #s(approx (+ (* (+ (* (* y y) 1/6) 1/2) (* y y)) 1) (*.f64 (*.f64 (*.f64 (*.f64 y y) y) #s(literal 1/6 binary64)) y)) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (exp (* y y)) (fma.f64 #s(approx (+ (* (+ (* (* y y) 1/6) 1/2) (* y y)) 1) (*.f64 (*.f64 (*.f64 (*.f64 y y) y) #s(literal 1/6 binary64)) y)) (*.f64 y y) #s(literal 1 binary64))) x)
x
#s(approx (exp (* y y)) (fma.f64 #s(approx (+ (* (+ (* (* y y) 1/6) 1/2) (* y y)) 1) (*.f64 (*.f64 (*.f64 (*.f64 y y) y) #s(literal 1/6 binary64)) y)) (*.f64 y y) #s(literal 1 binary64)))
(fma.f64 #s(approx (+ (* (+ (* (* y y) 1/6) 1/2) (* y y)) 1) (*.f64 (*.f64 (*.f64 (*.f64 y y) y) #s(literal 1/6 binary64)) y)) (*.f64 y y) #s(literal 1 binary64))
#s(approx (+ (* (+ (* (* y y) 1/6) 1/2) (* y y)) 1) (*.f64 (*.f64 (*.f64 (*.f64 y y) y) #s(literal 1/6 binary64)) y))
(*.f64 (*.f64 (*.f64 (*.f64 y y) y) #s(literal 1/6 binary64)) y)
(*.f64 (*.f64 (*.f64 y y) y) #s(literal 1/6 binary64))
(*.f64 (*.f64 y y) y)
(*.f64 y y)
y
#s(literal 1/6 binary64)
#s(literal 1 binary64)
#s(approx (* x (exp y)) #s(approx (+ (* y x) x) (*.f64 y x)))
#s(approx (+ (* y x) x) (*.f64 y x))
(*.f64 y x)
y
x
(*.f64 x #s(approx (exp y) (fma.f64 (fma.f64 #s(approx (+ (* 1/6 y) 1/2) (*.f64 #s(literal 1/6 binary64) y)) y #s(literal 1 binary64)) y #s(literal 1 binary64))))
(*.f64 #s(approx (exp y) (fma.f64 (fma.f64 #s(approx (+ (* 1/6 y) 1/2) (*.f64 #s(literal 1/6 binary64) y)) y #s(literal 1 binary64)) y #s(literal 1 binary64))) x)
x
#s(approx (exp y) (fma.f64 (fma.f64 #s(approx (+ (* 1/6 y) 1/2) (*.f64 #s(literal 1/6 binary64) y)) y #s(literal 1 binary64)) y #s(literal 1 binary64)))
(fma.f64 (fma.f64 #s(approx (+ (* 1/6 y) 1/2) (*.f64 #s(literal 1/6 binary64) y)) y #s(literal 1 binary64)) y #s(literal 1 binary64))
(fma.f64 #s(approx (+ (* 1/6 y) 1/2) (*.f64 #s(literal 1/6 binary64) y)) y #s(literal 1 binary64))
#s(approx (+ (* 1/6 y) 1/2) (*.f64 #s(literal 1/6 binary64) y))
(*.f64 #s(literal 1/6 binary64) y)
#s(literal 1/6 binary64)
y
#s(literal 1 binary64)
#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 #s(approx (+ (* 1/2 (* (* y y) x)) x) (*.f64 (*.f64 #s(literal 1/2 binary64) y) (*.f64 y x))) y) y x))
#s(approx (* x (exp (* y y))) (fma.f64 #s(approx (+ (* 1/2 (* (* y y) x)) x) (*.f64 (*.f64 (*.f64 y x) y) #s(literal 1/2 binary64))) (*.f64 y y) x))
(fma.f64 (*.f64 #s(approx (+ (* 1/2 (* (* y y) x)) x) (*.f64 (*.f64 #s(literal 1/2 binary64) y) (*.f64 y x))) y) y x)
(fma.f64 #s(approx (+ (* 1/2 (* (* y y) x)) x) (*.f64 (*.f64 (*.f64 y x) y) #s(literal 1/2 binary64))) (*.f64 y y) x)
(*.f64 #s(approx (+ (* 1/2 (* (* y y) x)) x) (*.f64 (*.f64 #s(literal 1/2 binary64) y) (*.f64 y x))) y)
(*.f64 #s(approx (+ (* 1/2 (* (* y y) x)) x) (*.f64 (*.f64 (*.f64 y x) y) #s(literal 1/2 binary64))) y)
#s(approx (+ (* 1/2 (* (* y y) x)) x) (*.f64 (*.f64 #s(literal 1/2 binary64) y) (*.f64 y x)))
#s(approx (+ (* 1/2 (* (* y y) x)) x) (*.f64 (*.f64 (*.f64 y x) y) #s(literal 1/2 binary64)))
(*.f64 (*.f64 #s(literal 1/2 binary64) y) (*.f64 y x))
(*.f64 (*.f64 (*.f64 y x) y) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) y)
#s(literal 1/2 binary64)
y
(*.f64 y x)
x
#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)) x) y) y x))
#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)) x) y) y x))
(fma.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)) x) y) y x)
(fma.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)) x) y) y x)
(*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)) x) y)
(*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)) x) y)
(*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)) x)
(*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)) x)
(fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))
(fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))
(fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1/2 binary64))
(fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1/2 binary64))
#s(literal 1/6 binary64)
(*.f64 y y)
y
#s(literal 1/2 binary64)
#s(literal 1 binary64)
x

localize211.0ms (0.8%)

Memory
10.0MiB live, 129.7MiB allocated
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
accuracy0.046875
(fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))
accuracy0.10546875
(fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1/2 binary64))
accuracy1.9103400411405314
(*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)) x)
accuracy4.448077738564082
#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)) x) y) y x))
accuracy0.0390625
(*.f64 #s(approx (+ (* 1/2 (* (* y y) x)) x) (*.f64 (*.f64 #s(literal 1/2 binary64) y) (*.f64 y x))) y)
accuracy0.140625
(*.f64 (*.f64 #s(literal 1/2 binary64) y) (*.f64 y x))
accuracy7.76890122442511
#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 #s(approx (+ (* 1/2 (* (* y y) x)) x) (*.f64 (*.f64 #s(literal 1/2 binary64) y) (*.f64 y x))) y) y x))
accuracy29.921706565459477
#s(approx (+ (* 1/2 (* (* y y) x)) x) (*.f64 (*.f64 #s(literal 1/2 binary64) y) (*.f64 y x)))
accuracy0.0703125
(fma.f64 #s(approx (+ (* 1/6 y) 1/2) (*.f64 #s(literal 1/6 binary64) y)) y #s(literal 1 binary64))
accuracy0.28125
(*.f64 #s(literal 1/6 binary64) y)
accuracy11.985537314841407
#s(approx (exp y) (fma.f64 (fma.f64 #s(approx (+ (* 1/6 y) 1/2) (*.f64 #s(literal 1/6 binary64) y)) y #s(literal 1 binary64)) y #s(literal 1 binary64)))
accuracy29.938966158708453
#s(approx (+ (* 1/6 y) 1/2) (*.f64 #s(literal 1/6 binary64) y))
accuracy0
(*.f64 y x)
accuracy25.15455049638332
#s(approx (* x (exp y)) #s(approx (+ (* y x) x) (*.f64 y x)))
accuracy29.75422398451692
#s(approx (+ (* y x) x) (*.f64 y x))
accuracy0.078125
(*.f64 (*.f64 y y) y)
accuracy0.1484375
(*.f64 (*.f64 (*.f64 y y) y) #s(literal 1/6 binary64))
accuracy4.865565961170442
#s(approx (exp (* y y)) (fma.f64 #s(approx (+ (* (+ (* (* y y) 1/6) 1/2) (* y y)) 1) (*.f64 (*.f64 (*.f64 (*.f64 y y) y) #s(literal 1/6 binary64)) y)) (*.f64 y y) #s(literal 1 binary64)))
accuracy30.260945930153515
#s(approx (+ (* (+ (* (* y y) 1/6) 1/2) (* y y)) 1) (*.f64 (*.f64 (*.f64 (*.f64 y y) y) #s(literal 1/6 binary64)) y))
Samples
73.0ms256×0valid
Compiler

Compiled 270 to 45 computations (83.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 54.0ms
ival-mult: 32.0ms (59.6% of total)
ival-add: 13.0ms (24.2% of total)
ival-exp: 4.0ms (7.4% of total)
const: 4.0ms (7.4% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series68.0ms (0.2%)

Memory
7.9MiB live, 45.9MiB allocated
Counts
26 → 480
Calls
Call 1
Inputs
#s(alt (*.f64 x #s(approx (exp (* y y)) (fma.f64 #s(approx (+ (* (+ (* (* y y) 1/6) 1/2) (* y y)) 1) (*.f64 (*.f64 (*.f64 (*.f64 y y) y) #s(literal 1/6 binary64)) y)) (*.f64 y y) #s(literal 1 binary64)))) (patch (*.f64 x #s(approx (exp (* y y)) (fma.f64 #s(approx (+ (* (+ (* (* y y) 1/6) 1/2) (* y y)) 1) (*.f64 (*.f64 (*.f64 (*.f64 y y) y) #s(literal 1/6 binary64)) y)) (*.f64 y y) #s(literal 1 binary64)))) #<representation binary64>) () ())
#s(alt #s(approx (exp (* y y)) (fma.f64 #s(approx (+ (* (+ (* (* y y) 1/6) 1/2) (* y y)) 1) (*.f64 (*.f64 (*.f64 (*.f64 y y) y) #s(literal 1/6 binary64)) y)) (*.f64 y y) #s(literal 1 binary64))) (patch #s(approx (exp (* y y)) (fma.f64 #s(approx (+ (* (+ (* (* y y) 1/6) 1/2) (* y y)) 1) (*.f64 (*.f64 (*.f64 (*.f64 y y) y) #s(literal 1/6 binary64)) y)) (*.f64 y y) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 #s(approx (+ (* (+ (* (* y y) 1/6) 1/2) (* y y)) 1) (*.f64 (*.f64 (*.f64 (*.f64 y y) y) #s(literal 1/6 binary64)) y)) (*.f64 y y) #s(literal 1 binary64)) (patch (fma.f64 #s(approx (+ (* (+ (* (* y y) 1/6) 1/2) (* y y)) 1) (*.f64 (*.f64 (*.f64 (*.f64 y y) y) #s(literal 1/6 binary64)) y)) (*.f64 y y) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (+ (* (+ (* (* y y) 1/6) 1/2) (* y y)) 1) (*.f64 (*.f64 (*.f64 (*.f64 y y) y) #s(literal 1/6 binary64)) y)) (patch #s(approx (+ (* (+ (* (* y y) 1/6) 1/2) (* y y)) 1) (*.f64 (*.f64 (*.f64 (*.f64 y y) y) #s(literal 1/6 binary64)) y)) #<representation binary64>) () ())
#s(alt #s(approx (* x (exp y)) #s(approx (+ (* y x) x) (*.f64 y x))) (patch #s(approx (* x (exp y)) #s(approx (+ (* y x) x) (*.f64 y x))) #<representation binary64>) () ())
#s(alt #s(approx (+ (* y x) x) (*.f64 y x)) (patch #s(approx (+ (* y x) x) (*.f64 y x)) #<representation binary64>) () ())
#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())
#s(alt (*.f64 x #s(approx (exp y) (fma.f64 (fma.f64 #s(approx (+ (* 1/6 y) 1/2) (*.f64 #s(literal 1/6 binary64) y)) y #s(literal 1 binary64)) y #s(literal 1 binary64)))) (patch (*.f64 x #s(approx (exp y) (fma.f64 (fma.f64 #s(approx (+ (* 1/6 y) 1/2) (*.f64 #s(literal 1/6 binary64) y)) y #s(literal 1 binary64)) y #s(literal 1 binary64)))) #<representation binary64>) () ())
#s(alt #s(approx (exp y) (fma.f64 (fma.f64 #s(approx (+ (* 1/6 y) 1/2) (*.f64 #s(literal 1/6 binary64) y)) y #s(literal 1 binary64)) y #s(literal 1 binary64))) (patch #s(approx (exp y) (fma.f64 (fma.f64 #s(approx (+ (* 1/6 y) 1/2) (*.f64 #s(literal 1/6 binary64) y)) y #s(literal 1 binary64)) y #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 (fma.f64 #s(approx (+ (* 1/6 y) 1/2) (*.f64 #s(literal 1/6 binary64) y)) y #s(literal 1 binary64)) y #s(literal 1 binary64)) (patch (fma.f64 (fma.f64 #s(approx (+ (* 1/6 y) 1/2) (*.f64 #s(literal 1/6 binary64) y)) y #s(literal 1 binary64)) y #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (fma.f64 #s(approx (+ (* 1/6 y) 1/2) (*.f64 #s(literal 1/6 binary64) y)) y #s(literal 1 binary64)) (patch (fma.f64 #s(approx (+ (* 1/6 y) 1/2) (*.f64 #s(literal 1/6 binary64) y)) y #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (* x (exp (* y y))) (fma.f64 (*.f64 #s(approx (+ (* 1/2 (* (* y y) x)) x) (*.f64 (*.f64 #s(literal 1/2 binary64) y) (*.f64 y x))) y) y x)) (patch #s(approx (* x (exp (* y y))) (fma.f64 (*.f64 #s(approx (+ (* 1/2 (* (* y y) x)) x) (*.f64 (*.f64 #s(literal 1/2 binary64) y) (*.f64 y x))) y) y x)) #<representation binary64>) () ())
#s(alt (fma.f64 (*.f64 #s(approx (+ (* 1/2 (* (* y y) x)) x) (*.f64 (*.f64 #s(literal 1/2 binary64) y) (*.f64 y x))) y) y x) (patch (fma.f64 (*.f64 #s(approx (+ (* 1/2 (* (* y y) x)) x) (*.f64 (*.f64 #s(literal 1/2 binary64) y) (*.f64 y x))) y) y x) #<representation binary64>) () ())
#s(alt (*.f64 #s(approx (+ (* 1/2 (* (* y y) x)) x) (*.f64 (*.f64 #s(literal 1/2 binary64) y) (*.f64 y x))) y) (patch (*.f64 #s(approx (+ (* 1/2 (* (* y y) x)) x) (*.f64 (*.f64 #s(literal 1/2 binary64) y) (*.f64 y x))) y) #<representation binary64>) () ())
#s(alt #s(approx (+ (* 1/2 (* (* y y) x)) x) (*.f64 (*.f64 #s(literal 1/2 binary64) y) (*.f64 y x))) (patch #s(approx (+ (* 1/2 (* (* y y) x)) x) (*.f64 (*.f64 #s(literal 1/2 binary64) y) (*.f64 y x))) #<representation binary64>) () ())
#s(alt #s(approx (* x (exp (* y y))) (fma.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)) x) y) y x)) (patch #s(approx (* x (exp (* y y))) (fma.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)) x) y) y x)) #<representation binary64>) () ())
#s(alt (fma.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)) x) y) y x) (patch (fma.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)) x) y) y x) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)) x) y) (patch (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)) x) y) #<representation binary64>) () ())
#s(alt (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)) x) (patch (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)) x) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 (*.f64 y y) y) #s(literal 1/6 binary64)) (patch (*.f64 (*.f64 (*.f64 y y) y) #s(literal 1/6 binary64)) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 y y) y) (patch (*.f64 (*.f64 y y) y) #<representation binary64>) () ())
#s(alt #s(approx (+ (* 1/6 y) 1/2) (*.f64 #s(literal 1/6 binary64) y)) (patch #s(approx (+ (* 1/6 y) 1/2) (*.f64 #s(literal 1/6 binary64) y)) #<representation binary64>) () ())
#s(alt (*.f64 #s(literal 1/6 binary64) y) (patch (*.f64 #s(literal 1/6 binary64) y) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 #s(literal 1/2 binary64) y) (*.f64 y x)) (patch (*.f64 (*.f64 #s(literal 1/2 binary64) y) (*.f64 y x)) #<representation binary64>) () ())
#s(alt (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1/2 binary64)) (patch (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1/2 binary64)) #<representation binary64>) () ())
#s(alt (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)) (patch (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)) #<representation binary64>) () ())
Outputs
#s(alt (* x (exp (pow y 2))) (taylor 0 x) (#s(alt (*.f64 x #s(approx (exp (* y y)) (fma.f64 #s(approx (+ (* (+ (* (* y y) 1/6) 1/2) (* y y)) 1) (*.f64 (*.f64 (*.f64 (*.f64 y y) y) #s(literal 1/6 binary64)) y)) (*.f64 y y) #s(literal 1 binary64)))) (patch (*.f64 x #s(approx (exp (* y y)) (fma.f64 #s(approx (+ (* (+ (* (* y y) 1/6) 1/2) (* y y)) 1) (*.f64 (*.f64 (*.f64 (*.f64 y y) y) #s(literal 1/6 binary64)) y)) (*.f64 y y) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* x (exp (pow y 2))) (taylor 0 x) (#s(alt (*.f64 x #s(approx (exp (* y y)) (fma.f64 #s(approx (+ (* (+ (* (* y y) 1/6) 1/2) (* y y)) 1) (*.f64 (*.f64 (*.f64 (*.f64 y y) y) #s(literal 1/6 binary64)) y)) (*.f64 y y) #s(literal 1 binary64)))) (patch (*.f64 x #s(approx (exp (* y y)) (fma.f64 #s(approx (+ (* (+ (* (* y y) 1/6) 1/2) (* y y)) 1) (*.f64 (*.f64 (*.f64 (*.f64 y y) y) #s(literal 1/6 binary64)) y)) (*.f64 y y) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* x (exp (pow y 2))) (taylor 0 x) (#s(alt (*.f64 x #s(approx (exp (* y y)) (fma.f64 #s(approx (+ (* (+ (* (* y y) 1/6) 1/2) (* y y)) 1) (*.f64 (*.f64 (*.f64 (*.f64 y y) y) #s(literal 1/6 binary64)) y)) (*.f64 y y) #s(literal 1 binary64)))) (patch (*.f64 x #s(approx (exp (* y y)) (fma.f64 #s(approx (+ (* (+ (* (* y y) 1/6) 1/2) (* y y)) 1) (*.f64 (*.f64 (*.f64 (*.f64 y y) y) #s(literal 1/6 binary64)) y)) (*.f64 y y) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* x (exp (pow y 2))) (taylor 0 x) (#s(alt (*.f64 x #s(approx (exp (* y y)) (fma.f64 #s(approx (+ (* (+ (* (* y y) 1/6) 1/2) (* y y)) 1) (*.f64 (*.f64 (*.f64 (*.f64 y y) y) #s(literal 1/6 binary64)) y)) (*.f64 y y) #s(literal 1 binary64)))) (patch (*.f64 x #s(approx (exp (* y y)) (fma.f64 #s(approx (+ (* (+ (* (* y y) 1/6) 1/2) (* y y)) 1) (*.f64 (*.f64 (*.f64 (*.f64 y y) y) #s(literal 1/6 binary64)) y)) (*.f64 y y) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* x (exp (pow y 2))) (taylor inf x) (#s(alt (*.f64 x #s(approx (exp (* y y)) (fma.f64 #s(approx (+ (* (+ (* (* y y) 1/6) 1/2) (* y y)) 1) (*.f64 (*.f64 (*.f64 (*.f64 y y) y) #s(literal 1/6 binary64)) y)) (*.f64 y y) #s(literal 1 binary64)))) (patch (*.f64 x #s(approx (exp (* y y)) (fma.f64 #s(approx (+ (* (+ (* (* y y) 1/6) 1/2) (* y y)) 1) (*.f64 (*.f64 (*.f64 (*.f64 y y) y) #s(literal 1/6 binary64)) y)) (*.f64 y y) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* x (exp (pow y 2))) (taylor inf x) (#s(alt (*.f64 x #s(approx (exp (* y y)) (fma.f64 #s(approx (+ (* (+ (* (* y y) 1/6) 1/2) (* y y)) 1) (*.f64 (*.f64 (*.f64 (*.f64 y y) y) #s(literal 1/6 binary64)) y)) (*.f64 y y) #s(literal 1 binary64)))) (patch (*.f64 x #s(approx (exp (* y y)) (fma.f64 #s(approx (+ (* (+ (* (* y y) 1/6) 1/2) (* y y)) 1) (*.f64 (*.f64 (*.f64 (*.f64 y y) y) #s(literal 1/6 binary64)) y)) (*.f64 y y) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* x (exp (pow y 2))) (taylor inf x) (#s(alt (*.f64 x #s(approx (exp (* y y)) (fma.f64 #s(approx (+ (* (+ (* (* y y) 1/6) 1/2) (* y y)) 1) (*.f64 (*.f64 (*.f64 (*.f64 y y) y) #s(literal 1/6 binary64)) y)) (*.f64 y y) #s(literal 1 binary64)))) (patch (*.f64 x #s(approx (exp (* y y)) (fma.f64 #s(approx (+ (* (+ (* (* y y) 1/6) 1/2) (* y y)) 1) (*.f64 (*.f64 (*.f64 (*.f64 y y) y) #s(literal 1/6 binary64)) y)) (*.f64 y y) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* x (exp (pow y 2))) (taylor inf x) (#s(alt (*.f64 x #s(approx (exp (* y y)) (fma.f64 #s(approx (+ (* (+ (* (* y y) 1/6) 1/2) (* y y)) 1) (*.f64 (*.f64 (*.f64 (*.f64 y y) y) #s(literal 1/6 binary64)) y)) (*.f64 y y) #s(literal 1 binary64)))) (patch (*.f64 x #s(approx (exp (* y y)) (fma.f64 #s(approx (+ (* (+ (* (* y y) 1/6) 1/2) (* y y)) 1) (*.f64 (*.f64 (*.f64 (*.f64 y y) y) #s(literal 1/6 binary64)) y)) (*.f64 y y) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* x (exp (pow y 2))) (taylor -inf x) (#s(alt (*.f64 x #s(approx (exp (* y y)) (fma.f64 #s(approx (+ (* (+ (* (* y y) 1/6) 1/2) (* y y)) 1) (*.f64 (*.f64 (*.f64 (*.f64 y y) y) #s(literal 1/6 binary64)) y)) (*.f64 y y) #s(literal 1 binary64)))) (patch (*.f64 x #s(approx (exp (* y y)) (fma.f64 #s(approx (+ (* (+ (* (* y y) 1/6) 1/2) (* y y)) 1) (*.f64 (*.f64 (*.f64 (*.f64 y y) y) #s(literal 1/6 binary64)) y)) (*.f64 y y) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* x (exp (pow y 2))) (taylor -inf x) (#s(alt (*.f64 x #s(approx (exp (* y y)) (fma.f64 #s(approx (+ (* (+ (* (* y y) 1/6) 1/2) (* y y)) 1) (*.f64 (*.f64 (*.f64 (*.f64 y y) y) #s(literal 1/6 binary64)) y)) (*.f64 y y) #s(literal 1 binary64)))) (patch (*.f64 x #s(approx (exp (* y y)) (fma.f64 #s(approx (+ (* (+ (* (* y y) 1/6) 1/2) (* y y)) 1) (*.f64 (*.f64 (*.f64 (*.f64 y y) y) #s(literal 1/6 binary64)) y)) (*.f64 y y) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* x (exp (pow y 2))) (taylor -inf x) (#s(alt (*.f64 x #s(approx (exp (* y y)) (fma.f64 #s(approx (+ (* (+ (* (* y y) 1/6) 1/2) (* y y)) 1) (*.f64 (*.f64 (*.f64 (*.f64 y y) y) #s(literal 1/6 binary64)) y)) (*.f64 y y) #s(literal 1 binary64)))) (patch (*.f64 x #s(approx (exp (* y y)) (fma.f64 #s(approx (+ (* (+ (* (* y y) 1/6) 1/2) (* y y)) 1) (*.f64 (*.f64 (*.f64 (*.f64 y y) y) #s(literal 1/6 binary64)) y)) (*.f64 y y) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* x (exp (pow y 2))) (taylor -inf x) (#s(alt (*.f64 x #s(approx (exp (* y y)) (fma.f64 #s(approx (+ (* (+ (* (* y y) 1/6) 1/2) (* y y)) 1) (*.f64 (*.f64 (*.f64 (*.f64 y y) y) #s(literal 1/6 binary64)) y)) (*.f64 y y) #s(literal 1 binary64)))) (patch (*.f64 x #s(approx (exp (* y y)) (fma.f64 #s(approx (+ (* (+ (* (* y y) 1/6) 1/2) (* y y)) 1) (*.f64 (*.f64 (*.f64 (*.f64 y y) y) #s(literal 1/6 binary64)) y)) (*.f64 y y) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 y) (#s(alt (*.f64 x #s(approx (exp (* y y)) (fma.f64 #s(approx (+ (* (+ (* (* y y) 1/6) 1/2) (* y y)) 1) (*.f64 (*.f64 (*.f64 (*.f64 y y) y) #s(literal 1/6 binary64)) y)) (*.f64 y y) #s(literal 1 binary64)))) (patch (*.f64 x #s(approx (exp (* y y)) (fma.f64 #s(approx (+ (* (+ (* (* y y) 1/6) 1/2) (* y y)) 1) (*.f64 (*.f64 (*.f64 (*.f64 y y) y) #s(literal 1/6 binary64)) y)) (*.f64 y y) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ x (* x (pow y 2))) (taylor 0 y) (#s(alt (*.f64 x #s(approx (exp (* y y)) (fma.f64 #s(approx (+ (* (+ (* (* y y) 1/6) 1/2) (* y y)) 1) (*.f64 (*.f64 (*.f64 (*.f64 y y) y) #s(literal 1/6 binary64)) y)) (*.f64 y y) #s(literal 1 binary64)))) (patch (*.f64 x #s(approx (exp (* y y)) (fma.f64 #s(approx (+ (* (+ (* (* y y) 1/6) 1/2) (* y y)) 1) (*.f64 (*.f64 (*.f64 (*.f64 y y) y) #s(literal 1/6 binary64)) y)) (*.f64 y y) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ x (* (pow y 2) (+ x (* 1/2 (* x (pow y 2)))))) (taylor 0 y) (#s(alt (*.f64 x #s(approx (exp (* y y)) (fma.f64 #s(approx (+ (* (+ (* (* y y) 1/6) 1/2) (* y y)) 1) (*.f64 (*.f64 (*.f64 (*.f64 y y) y) #s(literal 1/6 binary64)) y)) (*.f64 y y) #s(literal 1 binary64)))) (patch (*.f64 x #s(approx (exp (* y y)) (fma.f64 #s(approx (+ (* (+ (* (* y y) 1/6) 1/2) (* y y)) 1) (*.f64 (*.f64 (*.f64 (*.f64 y y) y) #s(literal 1/6 binary64)) y)) (*.f64 y y) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ x (* (pow y 2) (+ x (* (pow y 2) (+ (* 1/6 (* x (pow y 2))) (* 1/2 x)))))) (taylor 0 y) (#s(alt (*.f64 x #s(approx (exp (* y y)) (fma.f64 #s(approx (+ (* (+ (* (* y y) 1/6) 1/2) (* y y)) 1) (*.f64 (*.f64 (*.f64 (*.f64 y y) y) #s(literal 1/6 binary64)) y)) (*.f64 y y) #s(literal 1 binary64)))) (patch (*.f64 x #s(approx (exp (* y y)) (fma.f64 #s(approx (+ (* (+ (* (* y y) 1/6) 1/2) (* y y)) 1) (*.f64 (*.f64 (*.f64 (*.f64 y y) y) #s(literal 1/6 binary64)) y)) (*.f64 y y) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* x (exp (pow y 2))) (taylor inf y) (#s(alt (*.f64 x #s(approx (exp (* y y)) (fma.f64 #s(approx (+ (* (+ (* (* y y) 1/6) 1/2) (* y y)) 1) (*.f64 (*.f64 (*.f64 (*.f64 y y) y) #s(literal 1/6 binary64)) y)) (*.f64 y y) #s(literal 1 binary64)))) (patch (*.f64 x #s(approx (exp (* y y)) (fma.f64 #s(approx (+ (* (+ (* (* y y) 1/6) 1/2) (* y y)) 1) (*.f64 (*.f64 (*.f64 (*.f64 y y) y) #s(literal 1/6 binary64)) y)) (*.f64 y y) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* x (exp (pow y 2))) (taylor inf y) (#s(alt (*.f64 x #s(approx (exp (* y y)) (fma.f64 #s(approx (+ (* (+ (* (* y y) 1/6) 1/2) (* y y)) 1) (*.f64 (*.f64 (*.f64 (*.f64 y y) y) #s(literal 1/6 binary64)) y)) (*.f64 y y) #s(literal 1 binary64)))) (patch (*.f64 x #s(approx (exp (* y y)) (fma.f64 #s(approx (+ (* (+ (* (* y y) 1/6) 1/2) (* y y)) 1) (*.f64 (*.f64 (*.f64 (*.f64 y y) y) #s(literal 1/6 binary64)) y)) (*.f64 y y) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* x (exp (pow y 2))) (taylor inf y) (#s(alt (*.f64 x #s(approx (exp (* y y)) (fma.f64 #s(approx (+ (* (+ (* (* y y) 1/6) 1/2) (* y y)) 1) (*.f64 (*.f64 (*.f64 (*.f64 y y) y) #s(literal 1/6 binary64)) y)) (*.f64 y y) #s(literal 1 binary64)))) (patch (*.f64 x #s(approx (exp (* y y)) (fma.f64 #s(approx (+ (* (+ (* (* y y) 1/6) 1/2) (* y y)) 1) (*.f64 (*.f64 (*.f64 (*.f64 y y) y) #s(literal 1/6 binary64)) y)) (*.f64 y y) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* x (exp (pow y 2))) (taylor inf y) (#s(alt (*.f64 x #s(approx (exp (* y y)) (fma.f64 #s(approx (+ (* (+ (* (* y y) 1/6) 1/2) (* y y)) 1) (*.f64 (*.f64 (*.f64 (*.f64 y y) y) #s(literal 1/6 binary64)) y)) (*.f64 y y) #s(literal 1 binary64)))) (patch (*.f64 x #s(approx (exp (* y y)) (fma.f64 #s(approx (+ (* (+ (* (* y y) 1/6) 1/2) (* y y)) 1) (*.f64 (*.f64 (*.f64 (*.f64 y y) y) #s(literal 1/6 binary64)) y)) (*.f64 y y) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* x (exp (pow y 2))) (taylor -inf y) (#s(alt (*.f64 x #s(approx (exp (* y y)) (fma.f64 #s(approx (+ (* (+ (* (* y y) 1/6) 1/2) (* y y)) 1) (*.f64 (*.f64 (*.f64 (*.f64 y y) y) #s(literal 1/6 binary64)) y)) (*.f64 y y) #s(literal 1 binary64)))) (patch (*.f64 x #s(approx (exp (* y y)) (fma.f64 #s(approx (+ (* (+ (* (* y y) 1/6) 1/2) (* y y)) 1) (*.f64 (*.f64 (*.f64 (*.f64 y y) y) #s(literal 1/6 binary64)) y)) (*.f64 y y) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* x (exp (pow y 2))) (taylor -inf y) (#s(alt (*.f64 x #s(approx (exp (* y y)) (fma.f64 #s(approx (+ (* (+ (* (* y y) 1/6) 1/2) (* y y)) 1) (*.f64 (*.f64 (*.f64 (*.f64 y y) y) #s(literal 1/6 binary64)) y)) (*.f64 y y) #s(literal 1 binary64)))) (patch (*.f64 x #s(approx (exp (* y y)) (fma.f64 #s(approx (+ (* (+ (* (* y y) 1/6) 1/2) (* y y)) 1) (*.f64 (*.f64 (*.f64 (*.f64 y y) y) #s(literal 1/6 binary64)) y)) (*.f64 y y) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* x (exp (pow y 2))) (taylor -inf y) (#s(alt (*.f64 x #s(approx (exp (* y y)) (fma.f64 #s(approx (+ (* (+ (* (* y y) 1/6) 1/2) (* y y)) 1) (*.f64 (*.f64 (*.f64 (*.f64 y y) y) #s(literal 1/6 binary64)) y)) (*.f64 y y) #s(literal 1 binary64)))) (patch (*.f64 x #s(approx (exp (* y y)) (fma.f64 #s(approx (+ (* (+ (* (* y y) 1/6) 1/2) (* y y)) 1) (*.f64 (*.f64 (*.f64 (*.f64 y y) y) #s(literal 1/6 binary64)) y)) (*.f64 y y) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
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#s(alt (* 1/2 (* x (pow y 2))) (taylor inf x) (#s(alt (*.f64 (*.f64 #s(literal 1/2 binary64) y) (*.f64 y x)) (patch (*.f64 (*.f64 #s(literal 1/2 binary64) y) (*.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* x (pow y 2))) (taylor inf x) (#s(alt (*.f64 (*.f64 #s(literal 1/2 binary64) y) (*.f64 y x)) (patch (*.f64 (*.f64 #s(literal 1/2 binary64) y) (*.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* x (pow y 2))) (taylor -inf x) (#s(alt (*.f64 (*.f64 #s(literal 1/2 binary64) y) (*.f64 y x)) (patch (*.f64 (*.f64 #s(literal 1/2 binary64) y) (*.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* x (pow y 2))) (taylor -inf x) (#s(alt (*.f64 (*.f64 #s(literal 1/2 binary64) y) (*.f64 y x)) (patch (*.f64 (*.f64 #s(literal 1/2 binary64) y) (*.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* x (pow y 2))) (taylor -inf x) (#s(alt (*.f64 (*.f64 #s(literal 1/2 binary64) y) (*.f64 y x)) (patch (*.f64 (*.f64 #s(literal 1/2 binary64) y) (*.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* x (pow y 2))) (taylor -inf x) (#s(alt (*.f64 (*.f64 #s(literal 1/2 binary64) y) (*.f64 y x)) (patch (*.f64 (*.f64 #s(literal 1/2 binary64) y) (*.f64 y x)) #<representation binary64>) () ())) ())
#s(alt 1/2 (taylor 0 y) (#s(alt (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1/2 binary64)) (patch (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1/2 (* 1/6 (pow y 2))) (taylor 0 y) (#s(alt (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1/2 binary64)) (patch (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1/2 (* 1/6 (pow y 2))) (taylor 0 y) (#s(alt (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1/2 binary64)) (patch (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1/2 (* 1/6 (pow y 2))) (taylor 0 y) (#s(alt (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1/2 binary64)) (patch (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/6 (pow y 2)) (taylor inf y) (#s(alt (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1/2 binary64)) (patch (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (+ 1/6 (* 1/2 (/ 1 (pow y 2))))) (taylor inf y) (#s(alt (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1/2 binary64)) (patch (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (+ 1/6 (* 1/2 (/ 1 (pow y 2))))) (taylor inf y) (#s(alt (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1/2 binary64)) (patch (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (+ 1/6 (* 1/2 (/ 1 (pow y 2))))) (taylor inf y) (#s(alt (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1/2 binary64)) (patch (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/6 (pow y 2)) (taylor -inf y) (#s(alt (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1/2 binary64)) (patch (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (+ 1/6 (* 1/2 (/ 1 (pow y 2))))) (taylor -inf y) (#s(alt (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1/2 binary64)) (patch (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (+ 1/6 (* 1/2 (/ 1 (pow y 2))))) (taylor -inf y) (#s(alt (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1/2 binary64)) (patch (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (+ 1/6 (* 1/2 (/ 1 (pow y 2))))) (taylor -inf y) (#s(alt (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1/2 binary64)) (patch (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 y) (#s(alt (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)) (patch (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* 1/2 (pow y 2))) (taylor 0 y) (#s(alt (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)) (patch (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* (pow y 2) (+ 1/2 (* 1/6 (pow y 2))))) (taylor 0 y) (#s(alt (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)) (patch (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* (pow y 2) (+ 1/2 (* 1/6 (pow y 2))))) (taylor 0 y) (#s(alt (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)) (patch (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/6 (pow y 4)) (taylor inf y) (#s(alt (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)) (patch (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow y 4) (+ 1/6 (* 1/2 (/ 1 (pow y 2))))) (taylor inf y) (#s(alt (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)) (patch (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow y 4) (+ 1/6 (+ (* 1/2 (/ 1 (pow y 2))) (/ 1 (pow y 4))))) (taylor inf y) (#s(alt (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)) (patch (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow y 4) (+ 1/6 (+ (* 1/2 (/ 1 (pow y 2))) (/ 1 (pow y 4))))) (taylor inf y) (#s(alt (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)) (patch (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/6 (pow y 4)) (taylor -inf y) (#s(alt (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)) (patch (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow y 4) (+ 1/6 (* 1/2 (/ 1 (pow y 2))))) (taylor -inf y) (#s(alt (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)) (patch (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow y 4) (+ 1/6 (+ (* 1/2 (/ 1 (pow y 2))) (/ 1 (pow y 4))))) (taylor -inf y) (#s(alt (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)) (patch (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow y 4) (+ 1/6 (+ (* 1/2 (/ 1 (pow y 2))) (/ 1 (pow y 4))))) (taylor -inf y) (#s(alt (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)) (patch (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
Calls

120 calls:

TimeVariablePointExpression
43.0ms
x
@0
(* (* (+ (* (+ (* 1/6 (* y y)) 1/2) (* y y)) 1) x) y)
0.0ms
x
@inf
(* (* (+ (* (+ (* 1/6 (* y y)) 1/2) (* y y)) 1) x) y)
0.0ms
y
@0
(* (* (* y y) y) 1/6)
0.0ms
y
@-inf
(* (* (* y y) y) 1/6)
0.0ms
y
@-inf
(* (* y y) y)

simplify419.0ms (1.5%)

Memory
-23.3MiB live, 290.8MiB allocated
Algorithm
egg-herbie
Rules
21 132×lower-fma.f64
21 132×lower-fma.f32
4 172×lower-*.f64
4 172×lower-*.f32
4 078×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02024104
16914016
221073778
349953776
081293454
Stop Event
iter limit
node limit
Counts
480 → 470
Calls
Call 1
Inputs
(* x (exp (pow y 2)))
(* x (exp (pow y 2)))
(* x (exp (pow y 2)))
(* x (exp (pow y 2)))
(* x (exp (pow y 2)))
(* x (exp (pow y 2)))
(* x (exp (pow y 2)))
(* x (exp (pow y 2)))
(* x (exp (pow y 2)))
(* x (exp (pow y 2)))
(* x (exp (pow y 2)))
(* x (exp (pow y 2)))
x
(+ x (* x (pow y 2)))
(+ x (* (pow y 2) (+ x (* 1/2 (* x (pow y 2))))))
(+ x (* (pow y 2) (+ x (* (pow y 2) (+ (* 1/6 (* x (pow y 2))) (* 1/2 x))))))
(* x (exp (pow y 2)))
(* x (exp (pow y 2)))
(* x (exp (pow y 2)))
(* x (exp (pow y 2)))
(* x (exp (pow y 2)))
(* x (exp (pow y 2)))
(* x (exp (pow y 2)))
(* x (exp (pow y 2)))
1
(+ 1 (pow y 2))
(+ 1 (* (pow y 2) (+ 1 (* 1/2 (pow y 2)))))
(+ 1 (* (pow y 2) (+ 1 (* (pow y 2) (+ 1/2 (* 1/6 (pow y 2)))))))
(exp (pow y 2))
(exp (pow y 2))
(exp (pow y 2))
(exp (pow y 2))
(exp (pow y 2))
(exp (pow y 2))
(exp (pow y 2))
(exp (pow y 2))
1
(+ 1 (pow y 2))
(+ 1 (* (pow y 2) (+ 1 (* 1/2 (pow y 2)))))
(+ 1 (* (pow y 2) (+ 1 (* (pow y 2) (+ 1/2 (* 1/6 (pow y 2)))))))
(* 1/6 (pow y 6))
(* (pow y 6) (+ 1/6 (* 1/2 (/ 1 (pow y 2)))))
(* (pow y 6) (+ 1/6 (+ (* 1/2 (/ 1 (pow y 2))) (/ 1 (pow y 4)))))
(* (pow y 6) (+ 1/6 (+ (* 1/2 (/ 1 (pow y 2))) (+ (/ 1 (pow y 4)) (/ 1 (pow y 6))))))
(* 1/6 (pow y 6))
(* (pow y 6) (+ 1/6 (* 1/2 (/ 1 (pow y 2)))))
(* (pow y 6) (+ 1/6 (+ (* 1/2 (/ 1 (pow y 2))) (/ 1 (pow y 4)))))
(* (pow y 6) (+ 1/6 (+ (* 1/2 (/ 1 (pow y 2))) (+ (/ 1 (pow y 4)) (/ 1 (pow y 6))))))
1
(+ 1 (* 1/2 (pow y 2)))
(+ 1 (* (pow y 2) (+ 1/2 (* 1/6 (pow y 2)))))
(+ 1 (* (pow y 2) (+ 1/2 (* 1/6 (pow y 2)))))
(* 1/6 (pow y 4))
(* (pow y 4) (+ 1/6 (* 1/2 (/ 1 (pow y 2)))))
(* (pow y 4) (+ 1/6 (+ (* 1/2 (/ 1 (pow y 2))) (/ 1 (pow y 4)))))
(* (pow y 4) (+ 1/6 (+ (* 1/2 (/ 1 (pow y 2))) (/ 1 (pow y 4)))))
(* 1/6 (pow y 4))
(* (pow y 4) (+ 1/6 (* 1/2 (/ 1 (pow y 2)))))
(* (pow y 4) (+ 1/6 (+ (* 1/2 (/ 1 (pow y 2))) (/ 1 (pow y 4)))))
(* (pow y 4) (+ 1/6 (+ (* 1/2 (/ 1 (pow y 2))) (/ 1 (pow y 4)))))
(* x (exp y))
(* x (exp y))
(* x (exp y))
(* x (exp y))
(* x (exp y))
(* x (exp y))
(* x (exp y))
(* x (exp y))
(* x (exp y))
(* x (exp y))
(* x (exp y))
(* x (exp y))
x
(+ x (* x y))
(+ x (* y (+ x (* 1/2 (* x y)))))
(+ x (* y (+ x (* y (+ (* 1/6 (* x y)) (* 1/2 x))))))
(* x (exp y))
(* x (exp y))
(* x (exp y))
(* x (exp y))
(* x (exp y))
(* x (exp y))
(* x (exp y))
(* x (exp y))
x
(+ x (* x y))
(+ x (* x y))
(+ x (* x y))
(* x y)
(* y (+ x (/ x y)))
(* y (+ x (/ x y)))
(* y (+ x (/ x y)))
(* x y)
(* -1 (* y (+ (* -1 x) (* -1 (/ x y)))))
(* -1 (* y (+ (* -1 x) (* -1 (/ x y)))))
(* -1 (* y (+ (* -1 x) (* -1 (/ x y)))))
(* x (+ 1 y))
(* x (+ 1 y))
(* x (+ 1 y))
(* x (+ 1 y))
(* x (+ 1 y))
(* x (+ 1 y))
(* x (+ 1 y))
(* x (+ 1 y))
(* -1 (* x (- (* -1 y) 1)))
(* -1 (* x (- (* -1 y) 1)))
(* -1 (* x (- (* -1 y) 1)))
(* -1 (* x (- (* -1 y) 1)))
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x (exp y))
(* x (exp y))
(* x (exp y))
(* x (exp y))
(* x (exp y))
(* x (exp y))
(* x (exp y))
(* x (exp y))
(* x (exp y))
(* x (exp y))
(* x (exp y))
(* x (exp y))
x
(+ x (* x y))
(+ x (* y (+ x (* 1/2 (* x y)))))
(+ x (* y (+ x (* y (+ (* 1/6 (* x y)) (* 1/2 x))))))
(* x (exp y))
(* x (exp y))
(* x (exp y))
(* x (exp y))
(* x (exp y))
(* x (exp y))
(* x (exp y))
(* x (exp y))
1
(+ 1 y)
(+ 1 (* y (+ 1 (* 1/2 y))))
(+ 1 (* y (+ 1 (* y (+ 1/2 (* 1/6 y))))))
(exp y)
(exp y)
(exp y)
(exp y)
(exp y)
(exp y)
(exp y)
(exp y)
1
(+ 1 y)
(+ 1 (* y (+ 1 (* 1/2 y))))
(+ 1 (* y (+ 1 (* y (+ 1/2 (* 1/6 y))))))
(* 1/6 (pow y 3))
(* (pow y 3) (+ 1/6 (* 1/2 (/ 1 y))))
(* (pow y 3) (+ 1/6 (+ (* 1/2 (/ 1 y)) (/ 1 (pow y 2)))))
(* (pow y 3) (+ 1/6 (+ (* 1/2 (/ 1 y)) (+ (/ 1 (pow y 2)) (/ 1 (pow y 3))))))
(* 1/6 (pow y 3))
(* (pow y 3) (+ 1/6 (* 1/2 (/ 1 y))))
(* -1 (* (pow y 3) (- (* -1 (/ (+ 1/2 (/ 1 y)) y)) 1/6)))
(* -1 (* (pow y 3) (- (* -1 (/ (+ 1/2 (+ (/ 1 y) (/ 1 (pow y 2)))) y)) 1/6)))
1
(+ 1 (* 1/2 y))
(+ 1 (* y (+ 1/2 (* 1/6 y))))
(+ 1 (* y (+ 1/2 (* 1/6 y))))
(* 1/6 (pow y 2))
(* (pow y 2) (+ 1/6 (* 1/2 (/ 1 y))))
(* (pow y 2) (+ 1/6 (+ (* 1/2 (/ 1 y)) (/ 1 (pow y 2)))))
(* (pow y 2) (+ 1/6 (+ (* 1/2 (/ 1 y)) (/ 1 (pow y 2)))))
(* 1/6 (pow y 2))
(* (pow y 2) (+ 1/6 (* 1/2 (/ 1 y))))
(* (pow y 2) (+ 1/6 (+ (* 1/2 (/ 1 y)) (/ 1 (pow y 2)))))
(* (pow y 2) (+ 1/6 (+ (* 1/2 (/ 1 y)) (/ 1 (pow y 2)))))
(* x (exp (pow y 2)))
(* x (exp (pow y 2)))
(* x (exp (pow y 2)))
(* x (exp (pow y 2)))
(* x (exp (pow y 2)))
(* x (exp (pow y 2)))
(* x (exp (pow y 2)))
(* x (exp (pow y 2)))
(* x (exp (pow y 2)))
(* x (exp (pow y 2)))
(* x (exp (pow y 2)))
(* x (exp (pow y 2)))
x
(+ x (* x (pow y 2)))
(+ x (* (pow y 2) (+ x (* 1/2 (* x (pow y 2))))))
(+ x (* (pow y 2) (+ x (* (pow y 2) (+ (* 1/6 (* x (pow y 2))) (* 1/2 x))))))
(* x (exp (pow y 2)))
(* x (exp (pow y 2)))
(* x (exp (pow y 2)))
(* x (exp (pow y 2)))
(* x (exp (pow y 2)))
(* x (exp (pow y 2)))
(* x (exp (pow y 2)))
(* x (exp (pow y 2)))
x
(+ x (* x (pow y 2)))
(+ x (* (pow y 2) (+ x (* 1/2 (* x (pow y 2))))))
(+ x (* (pow y 2) (+ x (* 1/2 (* x (pow y 2))))))
(* 1/2 (* x (pow y 4)))
(* (pow y 4) (+ (* 1/2 x) (/ x (pow y 2))))
(* (pow y 4) (+ (* 1/2 x) (+ (/ x (pow y 2)) (/ x (pow y 4)))))
(* (pow y 4) (+ (* 1/2 x) (+ (/ x (pow y 2)) (/ x (pow y 4)))))
(* 1/2 (* x (pow y 4)))
(* (pow y 4) (+ (* 1/2 x) (/ x (pow y 2))))
(* (pow y 4) (+ (* 1/2 x) (+ (/ x (pow y 2)) (/ x (pow y 4)))))
(* (pow y 4) (+ (* 1/2 x) (+ (/ x (pow y 2)) (/ x (pow y 4)))))
(* x (+ 1 (* (pow y 2) (+ 1 (* 1/2 (pow y 2))))))
(* x (+ 1 (* (pow y 2) (+ 1 (* 1/2 (pow y 2))))))
(* x (+ 1 (* (pow y 2) (+ 1 (* 1/2 (pow y 2))))))
(* x (+ 1 (* (pow y 2) (+ 1 (* 1/2 (pow y 2))))))
(* x (+ 1 (* (pow y 2) (+ 1 (* 1/2 (pow y 2))))))
(* x (+ 1 (* (pow y 2) (+ 1 (* 1/2 (pow y 2))))))
(* x (+ 1 (* (pow y 2) (+ 1 (* 1/2 (pow y 2))))))
(* x (+ 1 (* (pow y 2) (+ 1 (* 1/2 (pow y 2))))))
(* -1 (* x (- (* (pow y 2) (- (* -1/2 (pow y 2)) 1)) 1)))
(* -1 (* x (- (* (pow y 2) (- (* -1/2 (pow y 2)) 1)) 1)))
(* -1 (* x (- (* (pow y 2) (- (* -1/2 (pow y 2)) 1)) 1)))
(* -1 (* x (- (* (pow y 2) (- (* -1/2 (pow y 2)) 1)) 1)))
(* x y)
(* y (+ x (* 1/2 (* x (pow y 2)))))
(* y (+ x (* 1/2 (* x (pow y 2)))))
(* y (+ x (* 1/2 (* x (pow y 2)))))
(* 1/2 (* x (pow y 3)))
(* (pow y 3) (+ (* 1/2 x) (/ x (pow y 2))))
(* (pow y 3) (+ (* 1/2 x) (/ x (pow y 2))))
(* (pow y 3) (+ (* 1/2 x) (/ x (pow y 2))))
(* 1/2 (* x (pow y 3)))
(* -1 (* (pow y 3) (+ (* -1 (/ x (pow y 2))) (* -1/2 x))))
(* -1 (* (pow y 3) (+ (* -1 (/ x (pow y 2))) (* -1/2 x))))
(* -1 (* (pow y 3) (+ (* -1 (/ x (pow y 2))) (* -1/2 x))))
(* x (* y (+ 1 (* 1/2 (pow y 2)))))
(* x (* y (+ 1 (* 1/2 (pow y 2)))))
(* x (* y (+ 1 (* 1/2 (pow y 2)))))
(* x (* y (+ 1 (* 1/2 (pow y 2)))))
(* x (* y (+ 1 (* 1/2 (pow y 2)))))
(* x (* y (+ 1 (* 1/2 (pow y 2)))))
(* x (* y (+ 1 (* 1/2 (pow y 2)))))
(* x (* y (+ 1 (* 1/2 (pow y 2)))))
(* -1 (* x (* y (- (* -1/2 (pow y 2)) 1))))
(* -1 (* x (* y (- (* -1/2 (pow y 2)) 1))))
(* -1 (* x (* y (- (* -1/2 (pow y 2)) 1))))
(* -1 (* x (* y (- (* -1/2 (pow y 2)) 1))))
x
(+ x (* 1/2 (* x (pow y 2))))
(+ x (* 1/2 (* x (pow y 2))))
(+ x (* 1/2 (* x (pow y 2))))
(* 1/2 (* x (pow y 2)))
(* (pow y 2) (+ (* 1/2 x) (/ x (pow y 2))))
(* (pow y 2) (+ (* 1/2 x) (/ x (pow y 2))))
(* (pow y 2) (+ (* 1/2 x) (/ x (pow y 2))))
(* 1/2 (* x (pow y 2)))
(* (pow y 2) (+ (* 1/2 x) (/ x (pow y 2))))
(* (pow y 2) (+ (* 1/2 x) (/ x (pow y 2))))
(* (pow y 2) (+ (* 1/2 x) (/ x (pow y 2))))
(* x (+ 1 (* 1/2 (pow y 2))))
(* x (+ 1 (* 1/2 (pow y 2))))
(* x (+ 1 (* 1/2 (pow y 2))))
(* x (+ 1 (* 1/2 (pow y 2))))
(* x (+ 1 (* 1/2 (pow y 2))))
(* x (+ 1 (* 1/2 (pow y 2))))
(* x (+ 1 (* 1/2 (pow y 2))))
(* x (+ 1 (* 1/2 (pow y 2))))
(* -1 (* x (- (* -1/2 (pow y 2)) 1)))
(* -1 (* x (- (* -1/2 (pow y 2)) 1)))
(* -1 (* x (- (* -1/2 (pow y 2)) 1)))
(* -1 (* x (- (* -1/2 (pow y 2)) 1)))
(* x (exp (pow y 2)))
(* x (exp (pow y 2)))
(* x (exp (pow y 2)))
(* x (exp (pow y 2)))
(* x (exp (pow y 2)))
(* x (exp (pow y 2)))
(* x (exp (pow y 2)))
(* x (exp (pow y 2)))
(* x (exp (pow y 2)))
(* x (exp (pow y 2)))
(* x (exp (pow y 2)))
(* x (exp (pow y 2)))
x
(+ x (* x (pow y 2)))
(+ x (* (pow y 2) (+ x (* 1/2 (* x (pow y 2))))))
(+ x (* (pow y 2) (+ x (* (pow y 2) (+ (* 1/6 (* x (pow y 2))) (* 1/2 x))))))
(* x (exp (pow y 2)))
(* x (exp (pow y 2)))
(* x (exp (pow y 2)))
(* x (exp (pow y 2)))
(* x (exp (pow y 2)))
(* x (exp (pow y 2)))
(* x (exp (pow y 2)))
(* x (exp (pow y 2)))
x
(+ x (* x (pow y 2)))
(+ x (* (pow y 2) (+ x (* 1/2 (* x (pow y 2))))))
(+ x (* (pow y 2) (+ x (* (pow y 2) (+ (* 1/6 (* x (pow y 2))) (* 1/2 x))))))
(* 1/6 (* x (pow y 6)))
(* (pow y 6) (+ (* 1/6 x) (* 1/2 (/ x (pow y 2)))))
(* (pow y 6) (+ (* 1/6 x) (+ (* 1/2 (/ x (pow y 2))) (/ x (pow y 4)))))
(* (pow y 6) (+ (* 1/6 x) (+ (* 1/2 (/ x (pow y 2))) (+ (/ x (pow y 4)) (/ x (pow y 6))))))
(* 1/6 (* x (pow y 6)))
(* (pow y 6) (+ (* 1/6 x) (* 1/2 (/ x (pow y 2)))))
(* (pow y 6) (+ (* 1/6 x) (+ (* 1/2 (/ x (pow y 2))) (/ x (pow y 4)))))
(* (pow y 6) (+ (* 1/6 x) (+ (* 1/2 (/ x (pow y 2))) (+ (/ x (pow y 4)) (/ x (pow y 6))))))
(* x (+ 1 (* (pow y 2) (+ 1 (* (pow y 2) (+ 1/2 (* 1/6 (pow y 2))))))))
(* x (+ 1 (* (pow y 2) (+ 1 (* (pow y 2) (+ 1/2 (* 1/6 (pow y 2))))))))
(* x (+ 1 (* (pow y 2) (+ 1 (* (pow y 2) (+ 1/2 (* 1/6 (pow y 2))))))))
(* x (+ 1 (* (pow y 2) (+ 1 (* (pow y 2) (+ 1/2 (* 1/6 (pow y 2))))))))
(* x (+ 1 (* (pow y 2) (+ 1 (* (pow y 2) (+ 1/2 (* 1/6 (pow y 2))))))))
(* x (+ 1 (* (pow y 2) (+ 1 (* (pow y 2) (+ 1/2 (* 1/6 (pow y 2))))))))
(* x (+ 1 (* (pow y 2) (+ 1 (* (pow y 2) (+ 1/2 (* 1/6 (pow y 2))))))))
(* x (+ 1 (* (pow y 2) (+ 1 (* (pow y 2) (+ 1/2 (* 1/6 (pow y 2))))))))
(* -1 (* x (- (* -1 (* (pow y 2) (+ 1 (* (pow y 2) (+ 1/2 (* 1/6 (pow y 2))))))) 1)))
(* -1 (* x (- (* -1 (* (pow y 2) (+ 1 (* (pow y 2) (+ 1/2 (* 1/6 (pow y 2))))))) 1)))
(* -1 (* x (- (* -1 (* (pow y 2) (+ 1 (* (pow y 2) (+ 1/2 (* 1/6 (pow y 2))))))) 1)))
(* -1 (* x (- (* -1 (* (pow y 2) (+ 1 (* (pow y 2) (+ 1/2 (* 1/6 (pow y 2))))))) 1)))
(* x y)
(* y (+ x (* 1/2 (* x (pow y 2)))))
(* y (+ x (* (pow y 2) (+ (* 1/6 (* x (pow y 2))) (* 1/2 x)))))
(* y (+ x (* (pow y 2) (+ (* 1/6 (* x (pow y 2))) (* 1/2 x)))))
(* 1/6 (* x (pow y 5)))
(* (pow y 5) (+ (* 1/6 x) (* 1/2 (/ x (pow y 2)))))
(* (pow y 5) (+ (* 1/6 x) (+ (* 1/2 (/ x (pow y 2))) (/ x (pow y 4)))))
(* (pow y 5) (+ (* 1/6 x) (+ (* 1/2 (/ x (pow y 2))) (/ x (pow y 4)))))
(* 1/6 (* x (pow y 5)))
(* -1 (* (pow y 5) (+ (* -1/2 (/ x (pow y 2))) (* -1/6 x))))
(* -1 (* (pow y 5) (+ (* -1 (/ x (pow y 4))) (+ (* -1/2 (/ x (pow y 2))) (* -1/6 x)))))
(* -1 (* (pow y 5) (+ (* -1 (/ x (pow y 4))) (+ (* -1/2 (/ x (pow y 2))) (* -1/6 x)))))
(* x (* y (+ 1 (* (pow y 2) (+ 1/2 (* 1/6 (pow y 2)))))))
(* x (* y (+ 1 (* (pow y 2) (+ 1/2 (* 1/6 (pow y 2)))))))
(* x (* y (+ 1 (* (pow y 2) (+ 1/2 (* 1/6 (pow y 2)))))))
(* x (* y (+ 1 (* (pow y 2) (+ 1/2 (* 1/6 (pow y 2)))))))
(* x (* y (+ 1 (* (pow y 2) (+ 1/2 (* 1/6 (pow y 2)))))))
(* x (* y (+ 1 (* (pow y 2) (+ 1/2 (* 1/6 (pow y 2)))))))
(* x (* y (+ 1 (* (pow y 2) (+ 1/2 (* 1/6 (pow y 2)))))))
(* x (* y (+ 1 (* (pow y 2) (+ 1/2 (* 1/6 (pow y 2)))))))
(* x (* y (+ 1 (* (pow y 2) (+ 1/2 (* 1/6 (pow y 2)))))))
(* x (* y (+ 1 (* (pow y 2) (+ 1/2 (* 1/6 (pow y 2)))))))
(* x (* y (+ 1 (* (pow y 2) (+ 1/2 (* 1/6 (pow y 2)))))))
(* x (* y (+ 1 (* (pow y 2) (+ 1/2 (* 1/6 (pow y 2)))))))
x
(+ x (* 1/2 (* x (pow y 2))))
(+ x (* (pow y 2) (+ (* 1/6 (* x (pow y 2))) (* 1/2 x))))
(+ x (* (pow y 2) (+ (* 1/6 (* x (pow y 2))) (* 1/2 x))))
(* 1/6 (* x (pow y 4)))
(* (pow y 4) (+ (* 1/6 x) (* 1/2 (/ x (pow y 2)))))
(* (pow y 4) (+ (* 1/6 x) (+ (* 1/2 (/ x (pow y 2))) (/ x (pow y 4)))))
(* (pow y 4) (+ (* 1/6 x) (+ (* 1/2 (/ x (pow y 2))) (/ x (pow y 4)))))
(* 1/6 (* x (pow y 4)))
(* (pow y 4) (+ (* 1/6 x) (* 1/2 (/ x (pow y 2)))))
(* (pow y 4) (+ (* 1/6 x) (+ (* 1/2 (/ x (pow y 2))) (/ x (pow y 4)))))
(* (pow y 4) (+ (* 1/6 x) (+ (* 1/2 (/ x (pow y 2))) (/ x (pow y 4)))))
(* x (+ 1 (* (pow y 2) (+ 1/2 (* 1/6 (pow y 2))))))
(* x (+ 1 (* (pow y 2) (+ 1/2 (* 1/6 (pow y 2))))))
(* x (+ 1 (* (pow y 2) (+ 1/2 (* 1/6 (pow y 2))))))
(* x (+ 1 (* (pow y 2) (+ 1/2 (* 1/6 (pow y 2))))))
(* x (+ 1 (* (pow y 2) (+ 1/2 (* 1/6 (pow y 2))))))
(* x (+ 1 (* (pow y 2) (+ 1/2 (* 1/6 (pow y 2))))))
(* x (+ 1 (* (pow y 2) (+ 1/2 (* 1/6 (pow y 2))))))
(* x (+ 1 (* (pow y 2) (+ 1/2 (* 1/6 (pow y 2))))))
(* x (+ 1 (* (pow y 2) (+ 1/2 (* 1/6 (pow y 2))))))
(* x (+ 1 (* (pow y 2) (+ 1/2 (* 1/6 (pow y 2))))))
(* x (+ 1 (* (pow y 2) (+ 1/2 (* 1/6 (pow y 2))))))
(* x (+ 1 (* (pow y 2) (+ 1/2 (* 1/6 (pow y 2))))))
(* 1/6 (pow y 3))
(* 1/6 (pow y 3))
(* 1/6 (pow y 3))
(* 1/6 (pow y 3))
(* 1/6 (pow y 3))
(* 1/6 (pow y 3))
(* 1/6 (pow y 3))
(* 1/6 (pow y 3))
(* 1/6 (pow y 3))
(* 1/6 (pow y 3))
(* 1/6 (pow y 3))
(* 1/6 (pow y 3))
(pow y 3)
(pow y 3)
(pow y 3)
(pow y 3)
(pow y 3)
(pow y 3)
(pow y 3)
(pow y 3)
(pow y 3)
(pow y 3)
(pow y 3)
(pow y 3)
1/2
(+ 1/2 (* 1/6 y))
(+ 1/2 (* 1/6 y))
(+ 1/2 (* 1/6 y))
(* 1/6 y)
(* y (+ 1/6 (* 1/2 (/ 1 y))))
(* y (+ 1/6 (* 1/2 (/ 1 y))))
(* y (+ 1/6 (* 1/2 (/ 1 y))))
(* 1/6 y)
(* y (+ 1/6 (* 1/2 (/ 1 y))))
(* y (+ 1/6 (* 1/2 (/ 1 y))))
(* y (+ 1/6 (* 1/2 (/ 1 y))))
(* 1/6 y)
(* 1/6 y)
(* 1/6 y)
(* 1/6 y)
(* 1/6 y)
(* 1/6 y)
(* 1/6 y)
(* 1/6 y)
(* 1/6 y)
(* 1/6 y)
(* 1/6 y)
(* 1/6 y)
(* 1/2 (* x (pow y 2)))
(* 1/2 (* x (pow y 2)))
(* 1/2 (* x (pow y 2)))
(* 1/2 (* x (pow y 2)))
(* 1/2 (* x (pow y 2)))
(* 1/2 (* x (pow y 2)))
(* 1/2 (* x (pow y 2)))
(* 1/2 (* x (pow y 2)))
(* 1/2 (* x (pow y 2)))
(* 1/2 (* x (pow y 2)))
(* 1/2 (* x (pow y 2)))
(* 1/2 (* x (pow y 2)))
(* 1/2 (* x (pow y 2)))
(* 1/2 (* x (pow y 2)))
(* 1/2 (* x (pow y 2)))
(* 1/2 (* x (pow y 2)))
(* 1/2 (* x (pow y 2)))
(* 1/2 (* x (pow y 2)))
(* 1/2 (* x (pow y 2)))
(* 1/2 (* x (pow y 2)))
(* 1/2 (* x (pow y 2)))
(* 1/2 (* x (pow y 2)))
(* 1/2 (* x (pow y 2)))
(* 1/2 (* x (pow y 2)))
1/2
(+ 1/2 (* 1/6 (pow y 2)))
(+ 1/2 (* 1/6 (pow y 2)))
(+ 1/2 (* 1/6 (pow y 2)))
(* 1/6 (pow y 2))
(* (pow y 2) (+ 1/6 (* 1/2 (/ 1 (pow y 2)))))
(* (pow y 2) (+ 1/6 (* 1/2 (/ 1 (pow y 2)))))
(* (pow y 2) (+ 1/6 (* 1/2 (/ 1 (pow y 2)))))
(* 1/6 (pow y 2))
(* (pow y 2) (+ 1/6 (* 1/2 (/ 1 (pow y 2)))))
(* (pow y 2) (+ 1/6 (* 1/2 (/ 1 (pow y 2)))))
(* (pow y 2) (+ 1/6 (* 1/2 (/ 1 (pow y 2)))))
1
(+ 1 (* 1/2 (pow y 2)))
(+ 1 (* (pow y 2) (+ 1/2 (* 1/6 (pow y 2)))))
(+ 1 (* (pow y 2) (+ 1/2 (* 1/6 (pow y 2)))))
(* 1/6 (pow y 4))
(* (pow y 4) (+ 1/6 (* 1/2 (/ 1 (pow y 2)))))
(* (pow y 4) (+ 1/6 (+ (* 1/2 (/ 1 (pow y 2))) (/ 1 (pow y 4)))))
(* (pow y 4) (+ 1/6 (+ (* 1/2 (/ 1 (pow y 2))) (/ 1 (pow y 4)))))
(* 1/6 (pow y 4))
(* (pow y 4) (+ 1/6 (* 1/2 (/ 1 (pow y 2)))))
(* (pow y 4) (+ 1/6 (+ (* 1/2 (/ 1 (pow y 2))) (/ 1 (pow y 4)))))
(* (pow y 4) (+ 1/6 (+ (* 1/2 (/ 1 (pow y 2))) (/ 1 (pow y 4)))))
Outputs
(* x (exp (pow y 2)))
(*.f64 (exp.f64 (*.f64 y y)) x)
(* x (exp (pow y 2)))
(*.f64 (exp.f64 (*.f64 y y)) x)
(* x (exp (pow y 2)))
(*.f64 (exp.f64 (*.f64 y y)) x)
(* x (exp (pow y 2)))
(*.f64 (exp.f64 (*.f64 y y)) x)
(* x (exp (pow y 2)))
(*.f64 (exp.f64 (*.f64 y y)) x)
(* x (exp (pow y 2)))
(*.f64 (exp.f64 (*.f64 y y)) x)
(* x (exp (pow y 2)))
(*.f64 (exp.f64 (*.f64 y y)) x)
(* x (exp (pow y 2)))
(*.f64 (exp.f64 (*.f64 y y)) x)
(* x (exp (pow y 2)))
(*.f64 (exp.f64 (*.f64 y y)) x)
(* x (exp (pow y 2)))
(*.f64 (exp.f64 (*.f64 y y)) x)
(* x (exp (pow y 2)))
(*.f64 (exp.f64 (*.f64 y y)) x)
(* x (exp (pow y 2)))
(*.f64 (exp.f64 (*.f64 y y)) x)
x
(+ x (* x (pow y 2)))
(fma.f64 (*.f64 y y) x x)
(+ x (* (pow y 2) (+ x (* 1/2 (* x (pow y 2))))))
(*.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y y) #s(literal 1 binary64)) (*.f64 y y) #s(literal 1 binary64)) x)
(+ x (* (pow y 2) (+ x (* (pow y 2) (+ (* 1/6 (* x (pow y 2))) (* 1/2 x))))))
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)) (*.f64 y y) #s(literal 1 binary64)) x)
(* x (exp (pow y 2)))
(*.f64 (exp.f64 (*.f64 y y)) x)
(* x (exp (pow y 2)))
(*.f64 (exp.f64 (*.f64 y y)) x)
(* x (exp (pow y 2)))
(*.f64 (exp.f64 (*.f64 y y)) x)
(* x (exp (pow y 2)))
(*.f64 (exp.f64 (*.f64 y y)) x)
(* x (exp (pow y 2)))
(*.f64 (exp.f64 (*.f64 y y)) x)
(* x (exp (pow y 2)))
(*.f64 (exp.f64 (*.f64 y y)) x)
(* x (exp (pow y 2)))
(*.f64 (exp.f64 (*.f64 y y)) x)
(* x (exp (pow y 2)))
(*.f64 (exp.f64 (*.f64 y y)) x)
1
#s(literal 1 binary64)
(+ 1 (pow y 2))
(fma.f64 y y #s(literal 1 binary64))
(+ 1 (* (pow y 2) (+ 1 (* 1/2 (pow y 2)))))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y y) #s(literal 1 binary64)) (*.f64 y y) #s(literal 1 binary64))
(+ 1 (* (pow y 2) (+ 1 (* (pow y 2) (+ 1/2 (* 1/6 (pow y 2)))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)) (*.f64 y y) #s(literal 1 binary64))
(exp (pow y 2))
(exp.f64 (*.f64 y y))
(exp (pow y 2))
(exp.f64 (*.f64 y y))
(exp (pow y 2))
(exp.f64 (*.f64 y y))
(exp (pow y 2))
(exp.f64 (*.f64 y y))
(exp (pow y 2))
(exp.f64 (*.f64 y y))
(exp (pow y 2))
(exp.f64 (*.f64 y y))
(exp (pow y 2))
(exp.f64 (*.f64 y y))
(exp (pow y 2))
(exp.f64 (*.f64 y y))
1
#s(literal 1 binary64)
(+ 1 (pow y 2))
(fma.f64 y y #s(literal 1 binary64))
(+ 1 (* (pow y 2) (+ 1 (* 1/2 (pow y 2)))))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y y) #s(literal 1 binary64)) (*.f64 y y) #s(literal 1 binary64))
(+ 1 (* (pow y 2) (+ 1 (* (pow y 2) (+ 1/2 (* 1/6 (pow y 2)))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)) (*.f64 y y) #s(literal 1 binary64))
(* 1/6 (pow y 6))
(*.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1/6 binary64))
(* (pow y 6) (+ 1/6 (* 1/2 (/ 1 (pow y 2)))))
(*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 y y)) #s(literal 1/6 binary64)) (pow.f64 y #s(literal 6 binary64)))
(* (pow y 6) (+ 1/6 (+ (* 1/2 (/ 1 (pow y 2))) (/ 1 (pow y 4)))))
(*.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) (*.f64 y y))) (/.f64 #s(literal 1/2 binary64) (*.f64 y y))) #s(literal 1/6 binary64)) (pow.f64 y #s(literal 6 binary64)))
(* (pow y 6) (+ 1/6 (+ (* 1/2 (/ 1 (pow y 2))) (+ (/ 1 (pow y 4)) (/ 1 (pow y 6))))))
(fma.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) (*.f64 y y))) (/.f64 #s(literal 1/2 binary64) (*.f64 y y))) #s(literal 1/6 binary64)) (pow.f64 y #s(literal 6 binary64)) #s(literal 1 binary64))
(* 1/6 (pow y 6))
(*.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1/6 binary64))
(* (pow y 6) (+ 1/6 (* 1/2 (/ 1 (pow y 2)))))
(*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 y y)) #s(literal 1/6 binary64)) (pow.f64 y #s(literal 6 binary64)))
(* (pow y 6) (+ 1/6 (+ (* 1/2 (/ 1 (pow y 2))) (/ 1 (pow y 4)))))
(*.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) (*.f64 y y))) (/.f64 #s(literal 1/2 binary64) (*.f64 y y))) #s(literal 1/6 binary64)) (pow.f64 y #s(literal 6 binary64)))
(* (pow y 6) (+ 1/6 (+ (* 1/2 (/ 1 (pow y 2))) (+ (/ 1 (pow y 4)) (/ 1 (pow y 6))))))
(fma.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) (*.f64 y y))) (/.f64 #s(literal 1/2 binary64) (*.f64 y y))) #s(literal 1/6 binary64)) (pow.f64 y #s(literal 6 binary64)) #s(literal 1 binary64))
1
#s(literal 1 binary64)
(+ 1 (* 1/2 (pow y 2)))
(fma.f64 #s(literal 1/2 binary64) (*.f64 y y) #s(literal 1 binary64))
(+ 1 (* (pow y 2) (+ 1/2 (* 1/6 (pow y 2)))))
(fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))
(+ 1 (* (pow y 2) (+ 1/2 (* 1/6 (pow y 2)))))
(fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))
(* 1/6 (pow y 4))
(*.f64 (*.f64 (*.f64 (*.f64 y y) y) #s(literal 1/6 binary64)) y)
(* (pow y 4) (+ 1/6 (* 1/2 (/ 1 (pow y 2)))))
(*.f64 (*.f64 (*.f64 y y) (*.f64 y y)) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 y y)) #s(literal 1/6 binary64)))
(* (pow y 4) (+ 1/6 (+ (* 1/2 (/ 1 (pow y 2))) (/ 1 (pow y 4)))))
(fma.f64 (*.f64 (*.f64 y y) (*.f64 y y)) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 y y)) #s(literal 1/6 binary64)) #s(literal 1 binary64))
(* (pow y 4) (+ 1/6 (+ (* 1/2 (/ 1 (pow y 2))) (/ 1 (pow y 4)))))
(fma.f64 (*.f64 (*.f64 y y) (*.f64 y y)) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 y y)) #s(literal 1/6 binary64)) #s(literal 1 binary64))
(* 1/6 (pow y 4))
(*.f64 (*.f64 (*.f64 (*.f64 y y) y) #s(literal 1/6 binary64)) y)
(* (pow y 4) (+ 1/6 (* 1/2 (/ 1 (pow y 2)))))
(*.f64 (*.f64 (*.f64 y y) (*.f64 y y)) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 y y)) #s(literal 1/6 binary64)))
(* (pow y 4) (+ 1/6 (+ (* 1/2 (/ 1 (pow y 2))) (/ 1 (pow y 4)))))
(fma.f64 (*.f64 (*.f64 y y) (*.f64 y y)) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 y y)) #s(literal 1/6 binary64)) #s(literal 1 binary64))
(* (pow y 4) (+ 1/6 (+ (* 1/2 (/ 1 (pow y 2))) (/ 1 (pow y 4)))))
(fma.f64 (*.f64 (*.f64 y y) (*.f64 y y)) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 y y)) #s(literal 1/6 binary64)) #s(literal 1 binary64))
(* x (exp y))
(*.f64 (exp.f64 y) x)
(* x (exp y))
(*.f64 (exp.f64 y) x)
(* x (exp y))
(*.f64 (exp.f64 y) x)
(* x (exp y))
(*.f64 (exp.f64 y) x)
(* x (exp y))
(*.f64 (exp.f64 y) x)
(* x (exp y))
(*.f64 (exp.f64 y) x)
(* x (exp y))
(*.f64 (exp.f64 y) x)
(* x (exp y))
(*.f64 (exp.f64 y) x)
(* x (exp y))
(*.f64 (exp.f64 y) x)
(* x (exp y))
(*.f64 (exp.f64 y) x)
(* x (exp y))
(*.f64 (exp.f64 y) x)
(* x (exp y))
(*.f64 (exp.f64 y) x)
x
(+ x (* x y))
(fma.f64 y x x)
(+ x (* y (+ x (* 1/2 (* x y)))))
(fma.f64 (fma.f64 (*.f64 y x) #s(literal 1/2 binary64) x) y x)
(+ x (* y (+ x (* y (+ (* 1/6 (* x y)) (* 1/2 x))))))
(fma.f64 (fma.f64 (*.f64 x (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64))) y x) y x)
(* x (exp y))
(*.f64 (exp.f64 y) x)
(* x (exp y))
(*.f64 (exp.f64 y) x)
(* x (exp y))
(*.f64 (exp.f64 y) x)
(* x (exp y))
(*.f64 (exp.f64 y) x)
(* x (exp y))
(*.f64 (exp.f64 y) x)
(* x (exp y))
(*.f64 (exp.f64 y) x)
(* x (exp y))
(*.f64 (exp.f64 y) x)
(* x (exp y))
(*.f64 (exp.f64 y) x)
x
(+ x (* x y))
(fma.f64 y x x)
(+ x (* x y))
(fma.f64 y x x)
(+ x (* x y))
(fma.f64 y x x)
(* x y)
(*.f64 y x)
(* y (+ x (/ x y)))
(fma.f64 y x x)
(* y (+ x (/ x y)))
(fma.f64 y x x)
(* y (+ x (/ x y)))
(fma.f64 y x x)
(* x y)
(*.f64 y x)
(* -1 (* y (+ (* -1 x) (* -1 (/ x y)))))
(fma.f64 y x x)
(* -1 (* y (+ (* -1 x) (* -1 (/ x y)))))
(fma.f64 y x x)
(* -1 (* y (+ (* -1 x) (* -1 (/ x y)))))
(fma.f64 y x x)
(* x (+ 1 y))
(fma.f64 y x x)
(* x (+ 1 y))
(fma.f64 y x x)
(* x (+ 1 y))
(fma.f64 y x x)
(* x (+ 1 y))
(fma.f64 y x x)
(* x (+ 1 y))
(fma.f64 y x x)
(* x (+ 1 y))
(fma.f64 y x x)
(* x (+ 1 y))
(fma.f64 y x x)
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(fma.f64 y x x)
(* -1 (* x (- (* -1 y) 1)))
(fma.f64 y x x)
(* -1 (* x (- (* -1 y) 1)))
(fma.f64 y x x)
(* -1 (* x (- (* -1 y) 1)))
(fma.f64 y x x)
(* -1 (* x (- (* -1 y) 1)))
(fma.f64 y x x)
(* x y)
(*.f64 y x)
(* x y)
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(+ 1/2 (* 1/6 y))
(fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64))
(+ 1/2 (* 1/6 y))
(fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64))
(+ 1/2 (* 1/6 y))
(fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64))
(* 1/6 y)
(*.f64 #s(literal 1/6 binary64) y)
(* y (+ 1/6 (* 1/2 (/ 1 y))))
(fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64))
(* y (+ 1/6 (* 1/2 (/ 1 y))))
(fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64))
(* y (+ 1/6 (* 1/2 (/ 1 y))))
(fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64))
(* 1/6 y)
(*.f64 #s(literal 1/6 binary64) y)
(* y (+ 1/6 (* 1/2 (/ 1 y))))
(fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64))
(* y (+ 1/6 (* 1/2 (/ 1 y))))
(fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64))
(* y (+ 1/6 (* 1/2 (/ 1 y))))
(fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64))
(* 1/6 y)
(*.f64 #s(literal 1/6 binary64) y)
(* 1/6 y)
(*.f64 #s(literal 1/6 binary64) y)
(* 1/6 y)
(*.f64 #s(literal 1/6 binary64) y)
(* 1/6 y)
(*.f64 #s(literal 1/6 binary64) y)
(* 1/6 y)
(*.f64 #s(literal 1/6 binary64) y)
(* 1/6 y)
(*.f64 #s(literal 1/6 binary64) y)
(* 1/6 y)
(*.f64 #s(literal 1/6 binary64) y)
(* 1/6 y)
(*.f64 #s(literal 1/6 binary64) y)
(* 1/6 y)
(*.f64 #s(literal 1/6 binary64) y)
(* 1/6 y)
(*.f64 #s(literal 1/6 binary64) y)
(* 1/6 y)
(*.f64 #s(literal 1/6 binary64) y)
(* 1/6 y)
(*.f64 #s(literal 1/6 binary64) y)
(* 1/2 (* x (pow y 2)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 y y) x))
(* 1/2 (* x (pow y 2)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 y y) x))
(* 1/2 (* x (pow y 2)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 y y) x))
(* 1/2 (* x (pow y 2)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 y y) x))
(* 1/2 (* x (pow y 2)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 y y) x))
(* 1/2 (* x (pow y 2)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 y y) x))
(* 1/2 (* x (pow y 2)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 y y) x))
(* 1/2 (* x (pow y 2)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 y y) x))
(* 1/2 (* x (pow y 2)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 y y) x))
(* 1/2 (* x (pow y 2)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 y y) x))
(* 1/2 (* x (pow y 2)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 y y) x))
(* 1/2 (* x (pow y 2)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 y y) x))
(* 1/2 (* x (pow y 2)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 y y) x))
(* 1/2 (* x (pow y 2)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 y y) x))
(* 1/2 (* x (pow y 2)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 y y) x))
(* 1/2 (* x (pow y 2)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 y y) x))
(* 1/2 (* x (pow y 2)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 y y) x))
(* 1/2 (* x (pow y 2)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 y y) x))
(* 1/2 (* x (pow y 2)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 y y) x))
(* 1/2 (* x (pow y 2)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 y y) x))
(* 1/2 (* x (pow y 2)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 y y) x))
(* 1/2 (* x (pow y 2)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 y y) x))
(* 1/2 (* x (pow y 2)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 y y) x))
(* 1/2 (* x (pow y 2)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 y y) x))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* 1/6 (pow y 2)))
(fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1/2 binary64))
(+ 1/2 (* 1/6 (pow y 2)))
(fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1/2 binary64))
(+ 1/2 (* 1/6 (pow y 2)))
(fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1/2 binary64))
(* 1/6 (pow y 2))
(*.f64 #s(literal 1/6 binary64) (*.f64 y y))
(* (pow y 2) (+ 1/6 (* 1/2 (/ 1 (pow y 2)))))
(fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1/2 binary64))
(* (pow y 2) (+ 1/6 (* 1/2 (/ 1 (pow y 2)))))
(fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1/2 binary64))
(* (pow y 2) (+ 1/6 (* 1/2 (/ 1 (pow y 2)))))
(fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1/2 binary64))
(* 1/6 (pow y 2))
(*.f64 #s(literal 1/6 binary64) (*.f64 y y))
(* (pow y 2) (+ 1/6 (* 1/2 (/ 1 (pow y 2)))))
(fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1/2 binary64))
(* (pow y 2) (+ 1/6 (* 1/2 (/ 1 (pow y 2)))))
(fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1/2 binary64))
(* (pow y 2) (+ 1/6 (* 1/2 (/ 1 (pow y 2)))))
(fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1/2 binary64))
1
#s(literal 1 binary64)
(+ 1 (* 1/2 (pow y 2)))
(fma.f64 #s(literal 1/2 binary64) (*.f64 y y) #s(literal 1 binary64))
(+ 1 (* (pow y 2) (+ 1/2 (* 1/6 (pow y 2)))))
(fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))
(+ 1 (* (pow y 2) (+ 1/2 (* 1/6 (pow y 2)))))
(fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))
(* 1/6 (pow y 4))
(*.f64 (*.f64 (*.f64 (*.f64 y y) y) #s(literal 1/6 binary64)) y)
(* (pow y 4) (+ 1/6 (* 1/2 (/ 1 (pow y 2)))))
(*.f64 (*.f64 (*.f64 y y) (*.f64 y y)) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 y y)) #s(literal 1/6 binary64)))
(* (pow y 4) (+ 1/6 (+ (* 1/2 (/ 1 (pow y 2))) (/ 1 (pow y 4)))))
(fma.f64 (*.f64 (*.f64 y y) (*.f64 y y)) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 y y)) #s(literal 1/6 binary64)) #s(literal 1 binary64))
(* (pow y 4) (+ 1/6 (+ (* 1/2 (/ 1 (pow y 2))) (/ 1 (pow y 4)))))
(fma.f64 (*.f64 (*.f64 y y) (*.f64 y y)) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 y y)) #s(literal 1/6 binary64)) #s(literal 1 binary64))
(* 1/6 (pow y 4))
(*.f64 (*.f64 (*.f64 (*.f64 y y) y) #s(literal 1/6 binary64)) y)
(* (pow y 4) (+ 1/6 (* 1/2 (/ 1 (pow y 2)))))
(*.f64 (*.f64 (*.f64 y y) (*.f64 y y)) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 y y)) #s(literal 1/6 binary64)))
(* (pow y 4) (+ 1/6 (+ (* 1/2 (/ 1 (pow y 2))) (/ 1 (pow y 4)))))
(fma.f64 (*.f64 (*.f64 y y) (*.f64 y y)) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 y y)) #s(literal 1/6 binary64)) #s(literal 1 binary64))
(* (pow y 4) (+ 1/6 (+ (* 1/2 (/ 1 (pow y 2))) (/ 1 (pow y 4)))))
(fma.f64 (*.f64 (*.f64 y y) (*.f64 y y)) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 y y)) #s(literal 1/6 binary64)) #s(literal 1 binary64))

rewrite186.0ms (0.7%)

Memory
10.6MiB live, 321.4MiB allocated
Rules
5 396×lower-fma.f32
5 382×lower-fma.f64
5 076×lower-*.f32
5 050×lower-*.f64
4 248×lower-/.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
050416
080396
1281396
21590388
08144377
Stop Event
iter limit
node limit
iter limit
Counts
26 → 377
Calls
Call 1
Inputs
(*.f64 x #s(approx (exp (* y y)) (fma.f64 #s(approx (+ (* (+ (* (* y y) 1/6) 1/2) (* y y)) 1) (*.f64 (*.f64 (*.f64 (*.f64 y y) y) #s(literal 1/6 binary64)) y)) (*.f64 y y) #s(literal 1 binary64))))
#s(approx (exp (* y y)) (fma.f64 #s(approx (+ (* (+ (* (* y y) 1/6) 1/2) (* y y)) 1) (*.f64 (*.f64 (*.f64 (*.f64 y y) y) #s(literal 1/6 binary64)) y)) (*.f64 y y) #s(literal 1 binary64)))
(fma.f64 #s(approx (+ (* (+ (* (* y y) 1/6) 1/2) (* y y)) 1) (*.f64 (*.f64 (*.f64 (*.f64 y y) y) #s(literal 1/6 binary64)) y)) (*.f64 y y) #s(literal 1 binary64))
#s(approx (+ (* (+ (* (* y y) 1/6) 1/2) (* y y)) 1) (*.f64 (*.f64 (*.f64 (*.f64 y y) y) #s(literal 1/6 binary64)) y))
#s(approx (* x (exp y)) #s(approx (+ (* y x) x) (*.f64 y x)))
#s(approx (+ (* y x) x) (*.f64 y x))
(*.f64 y x)
(*.f64 x #s(approx (exp y) (fma.f64 (fma.f64 #s(approx (+ (* 1/6 y) 1/2) (*.f64 #s(literal 1/6 binary64) y)) y #s(literal 1 binary64)) y #s(literal 1 binary64))))
#s(approx (exp y) (fma.f64 (fma.f64 #s(approx (+ (* 1/6 y) 1/2) (*.f64 #s(literal 1/6 binary64) y)) y #s(literal 1 binary64)) y #s(literal 1 binary64)))
(fma.f64 (fma.f64 #s(approx (+ (* 1/6 y) 1/2) (*.f64 #s(literal 1/6 binary64) y)) y #s(literal 1 binary64)) y #s(literal 1 binary64))
(fma.f64 #s(approx (+ (* 1/6 y) 1/2) (*.f64 #s(literal 1/6 binary64) y)) y #s(literal 1 binary64))
#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 #s(approx (+ (* 1/2 (* (* y y) x)) x) (*.f64 (*.f64 #s(literal 1/2 binary64) y) (*.f64 y x))) y) y x))
(fma.f64 (*.f64 #s(approx (+ (* 1/2 (* (* y y) x)) x) (*.f64 (*.f64 #s(literal 1/2 binary64) y) (*.f64 y x))) y) y x)
(*.f64 #s(approx (+ (* 1/2 (* (* y y) x)) x) (*.f64 (*.f64 #s(literal 1/2 binary64) y) (*.f64 y x))) y)
#s(approx (+ (* 1/2 (* (* y y) x)) x) (*.f64 (*.f64 #s(literal 1/2 binary64) y) (*.f64 y x)))
#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)) x) y) y x))
(fma.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)) x) y) y x)
(*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)) x) y)
(*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)) x)
(*.f64 (*.f64 (*.f64 y y) y) #s(literal 1/6 binary64))
(*.f64 (*.f64 y y) y)
#s(approx (+ (* 1/6 y) 1/2) (*.f64 #s(literal 1/6 binary64) y))
(*.f64 #s(literal 1/6 binary64) y)
(*.f64 (*.f64 #s(literal 1/2 binary64) y) (*.f64 y x))
(fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1/2 binary64))
(fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))
Outputs
(*.f64 #s(approx (exp (* y y)) (fma.f64 #s(approx (+ (* (+ (* (* y y) 1/6) 1/2) (* y y)) 1) (*.f64 (*.f64 (*.f64 (*.f64 y y) y) #s(literal 1/6 binary64)) y)) (*.f64 y y) #s(literal 1 binary64))) x)
(*.f64 x #s(approx (exp (* y y)) (fma.f64 #s(approx (+ (* (+ (* (* y y) 1/6) 1/2) (* y y)) 1) (*.f64 (*.f64 (*.f64 (*.f64 y y) y) #s(literal 1/6 binary64)) y)) (*.f64 y y) #s(literal 1 binary64))))
#s(approx (exp (* y y)) (fma.f64 #s(approx (+ (* (+ (* (* y y) 1/6) 1/2) (* y y)) 1) (*.f64 (*.f64 (*.f64 (*.f64 y y) y) #s(literal 1/6 binary64)) y)) (*.f64 y y) #s(literal 1 binary64)))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 #s(approx (+ (* (+ (* (* y y) 1/6) 1/2) (* y y)) 1) (*.f64 (*.f64 (*.f64 (*.f64 y y) y) #s(literal 1/6 binary64)) y)) (*.f64 y y)) (*.f64 y y)) #s(approx (+ (* (+ (* (* y y) 1/6) 1/2) (* y y)) 1) (*.f64 (*.f64 (*.f64 (*.f64 y y) y) #s(literal 1/6 binary64)) y)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(approx (+ (* (+ (* (* y y) 1/6) 1/2) (* y y)) 1) (*.f64 (*.f64 (*.f64 (*.f64 y y) y) #s(literal 1/6 binary64)) y)) (*.f64 y y)))))
(*.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 #s(approx (+ (* (+ (* (* y y) 1/6) 1/2) (* y y)) 1) (*.f64 (*.f64 (*.f64 (*.f64 y y) y) #s(literal 1/6 binary64)) y)) (*.f64 y y)) (*.f64 y y)) #s(approx (+ (* (+ (* (* y y) 1/6) 1/2) (* y y)) 1) (*.f64 (*.f64 (*.f64 (*.f64 y y) y) #s(literal 1/6 binary64)) y)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 #s(approx (+ (* (+ (* (* y y) 1/6) 1/2) (* y y)) 1) (*.f64 (*.f64 (*.f64 (*.f64 y y) y) #s(literal 1/6 binary64)) y)) (*.f64 y y) #s(literal -1 binary64)))))
(*.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 (*.f64 #s(approx (+ (* (+ (* (* y y) 1/6) 1/2) (* y y)) 1) (*.f64 (*.f64 (*.f64 (*.f64 y y) y) #s(literal 1/6 binary64)) y)) (*.f64 y y)) (*.f64 y y)) #s(approx (+ (* (+ (* (* y y) 1/6) 1/2) (* y y)) 1) (*.f64 (*.f64 (*.f64 (*.f64 y y) y) #s(literal 1/6 binary64)) y))) (*.f64 #s(approx (+ (* (+ (* (* y y) 1/6) 1/2) (* y y)) 1) (*.f64 (*.f64 (*.f64 (*.f64 y y) y) #s(literal 1/6 binary64)) y)) (*.f64 y y)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (*.f64 (*.f64 #s(approx (+ (* (+ (* (* y y) 1/6) 1/2) (* y y)) 1) (*.f64 (*.f64 (*.f64 (*.f64 y y) y) #s(literal 1/6 binary64)) y)) (*.f64 y y)) (*.f64 y y)) #s(approx (+ (* (+ (* (* y y) 1/6) 1/2) (* y y)) 1) (*.f64 (*.f64 (*.f64 (*.f64 y y) y) #s(literal 1/6 binary64)) y)) (-.f64 #s(literal 1 binary64) (*.f64 #s(approx (+ (* (+ (* (* y y) 1/6) 1/2) (* y y)) 1) (*.f64 (*.f64 (*.f64 (*.f64 y y) y) #s(literal 1/6 binary64)) y)) (*.f64 y y)))))))
(*.f64 (fma.f64 (*.f64 (*.f64 #s(approx (+ (* (+ (* (* y y) 1/6) 1/2) (* y y)) 1) (*.f64 (*.f64 (*.f64 (*.f64 y y) y) #s(literal 1/6 binary64)) y)) (*.f64 y y)) (*.f64 y y)) #s(approx (+ (* (+ (* (* y y) 1/6) 1/2) (* y y)) 1) (*.f64 (*.f64 (*.f64 (*.f64 y y) y) #s(literal 1/6 binary64)) y)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(approx (+ (* (+ (* (* y y) 1/6) 1/2) (* y y)) 1) (*.f64 (*.f64 (*.f64 (*.f64 y y) y) #s(literal 1/6 binary64)) y)) (*.f64 y y) #s(literal -1 binary64))))
(*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 #s(approx (+ (* (+ (* (* y y) 1/6) 1/2) (* y y)) 1) (*.f64 (*.f64 (*.f64 (*.f64 y y) y) #s(literal 1/6 binary64)) y)) (*.f64 y y)) (*.f64 y y)) #s(approx (+ (* (+ (* (* y y) 1/6) 1/2) (* y y)) 1) (*.f64 (*.f64 (*.f64 (*.f64 y y) y) #s(literal 1/6 binary64)) y))) (*.f64 #s(approx (+ (* (+ (* (* y y) 1/6) 1/2) (* y y)) 1) (*.f64 (*.f64 (*.f64 (*.f64 y y) y) #s(literal 1/6 binary64)) y)) (*.f64 y y)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (*.f64 (*.f64 #s(approx (+ (* (+ (* (* y y) 1/6) 1/2) (* y y)) 1) (*.f64 (*.f64 (*.f64 (*.f64 y y) y) #s(literal 1/6 binary64)) y)) (*.f64 y y)) (*.f64 y y)) #s(approx (+ (* (+ (* (* y y) 1/6) 1/2) (* y y)) 1) (*.f64 (*.f64 (*.f64 (*.f64 y y) y) #s(literal 1/6 binary64)) y))) (*.f64 #s(approx (+ (* (+ (* (* y y) 1/6) 1/2) (* y y)) 1) (*.f64 (*.f64 (*.f64 (*.f64 y y) y) #s(literal 1/6 binary64)) y)) (*.f64 y y))))))
(*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 #s(approx (+ (* (+ (* (* y y) 1/6) 1/2) (* y y)) 1) (*.f64 (*.f64 (*.f64 (*.f64 y y) y) #s(literal 1/6 binary64)) y)) (*.f64 y y)) (*.f64 y y)) #s(approx (+ (* (+ (* (* y y) 1/6) 1/2) (* y y)) 1) (*.f64 (*.f64 (*.f64 (*.f64 y y) y) #s(literal 1/6 binary64)) y))) (*.f64 #s(approx (+ (* (+ (* (* y y) 1/6) 1/2) (* y y)) 1) (*.f64 (*.f64 (*.f64 (*.f64 y y) y) #s(literal 1/6 binary64)) y)) (*.f64 y y)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 #s(approx (+ (* (+ (* (* y y) 1/6) 1/2) (* y y)) 1) (*.f64 (*.f64 (*.f64 (*.f64 y y) y) #s(literal 1/6 binary64)) y)) (*.f64 y y)) (*.f64 y y)) #s(approx (+ (* (+ (* (* y y) 1/6) 1/2) (* y y)) 1) (*.f64 (*.f64 (*.f64 (*.f64 y y) y) #s(literal 1/6 binary64)) y)) (-.f64 #s(literal 1 binary64) (*.f64 #s(approx (+ (* (+ (* (* y y) 1/6) 1/2) (* y y)) 1) (*.f64 (*.f64 (*.f64 (*.f64 y y) y) #s(literal 1/6 binary64)) y)) (*.f64 y y))))))
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(fma.f64 (*.f64 (*.f64 y y) (fma.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 y y)) (*.f64 y y) #s(literal -1/4 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1/2 binary64))) #s(literal 1 binary64))
(fma.f64 (*.f64 (*.f64 y y) (fma.f64 (*.f64 #s(literal 1/216 binary64) (*.f64 (*.f64 y y) y)) (*.f64 (*.f64 y y) y) #s(literal 1/8 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 (*.f64 y y) y) y) #s(literal 1/36 binary64) (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 y y) #s(literal 1/12 binary64))))) #s(literal 1 binary64))
(fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1/2 binary64)) y) (*.f64 y #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1/2 binary64)) y) y #s(literal 1 binary64))
(fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1/2 binary64)) y) y) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1/2 binary64)) (*.f64 (*.f64 y y) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))
(fma.f64 (*.f64 y y) (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (*.f64 y y) (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1/2 binary64)) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1/2 binary64)) y) y) #s(literal 1 binary64))
(fma.f64 y (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1/2 binary64)) y) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1/2 binary64)) y) y))) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) y) y) (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1/2 binary64)) (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1/2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1/2 binary64)) y) y))))
(-.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) y) y) (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1/2 binary64)) (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1/2 binary64)))) (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1/2 binary64)) (*.f64 y y) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1/2 binary64)) (*.f64 y y) #s(literal -1 binary64))))
(+.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1/2 binary64)) y) y) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1/2 binary64)) y) y))

eval157.0ms (0.6%)

Memory
2.6MiB live, 275.3MiB allocated
Compiler

Compiled 24 745 to 1 684 computations (93.2% saved)

prune232.0ms (0.8%)

Memory
16.2MiB live, 511.4MiB allocated
Pruning

35 alts after pruning (25 fresh and 10 done)

PrunedKeptTotal
New8658873
Fresh31720
Picked235
Done178
Total87135906
Accuracy
100.0%
Counts
906 → 35
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(*.f64 x (exp.f64 (*.f64 y y)))
98.6%
(*.f64 x (exp.f64 y))
90.8%
(*.f64 x #s(approx (exp (* y y)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y y) #s(literal 1 binary64)) (*.f64 y y) #s(literal 1 binary64))))
95.3%
(*.f64 x #s(approx (exp (* y y)) (fma.f64 (*.f64 #s(approx (+ (* (+ (* (* y y) 1/6) 1/2) (* y y)) 1) (*.f64 (*.f64 (*.f64 (*.f64 y y) y) #s(literal 1/6 binary64)) y)) y) y #s(literal 1 binary64))))
71.9%
(*.f64 x #s(approx (exp (* y y)) (fma.f64 #s(approx (+ (* (+ (* (* y y) 1/6) 1/2) (* y y)) 1) (*.f64 (*.f64 (*.f64 y y) (*.f64 y y)) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 y y)) #s(literal 1/6 binary64)))) (*.f64 y y) #s(literal 1 binary64))))
90.5%
(*.f64 x #s(approx (exp (* y y)) (fma.f64 #s(approx (+ (* 1/2 (* y y)) 1) (*.f64 (*.f64 y y) #s(literal 1/2 binary64))) (*.f64 y y) #s(literal 1 binary64))))
51.5%
(*.f64 x #s(approx (exp (* y y)) (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 y y) y) y) (*.f64 (*.f64 (*.f64 y y) y) y) #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 (*.f64 y y) y) y #s(literal 1 binary64)) (fma.f64 y y #s(literal -1 binary64))))))
95.3%
(*.f64 x #s(approx (exp (* y y)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(approx (+ (* (+ (* (* y y) 1/6) 1/2) (* y y)) 1) (*.f64 (*.f64 (*.f64 (*.f64 y y) y) #s(literal 1/6 binary64)) y)) (*.f64 y y) #s(literal 1 binary64))))))
44.5%
(*.f64 x #s(approx (exp (* y y)) #s(approx (+ (* (+ (* 1/2 (* y y)) 1) (* y y)) 1) (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/2 binary64) #s(literal 1 binary64)) y) y))))
44.3%
(*.f64 x #s(approx (exp (* y y)) #s(approx (+ (* (+ (* 1/2 (* y y)) 1) (* y y)) 1) (*.f64 (*.f64 (*.f64 y y) y) (*.f64 #s(literal 1/2 binary64) y)))))
34.5%
(*.f64 x #s(approx (exp (* y y)) #s(approx (+ (* y y) 1) (*.f64 y y))))
50.2%
(*.f64 x #s(approx (exp (* y y)) #s(literal 1 binary64)))
84.9%
(*.f64 x #s(approx (exp y) (fma.f64 (fma.f64 #s(approx (+ (* 1/6 y) 1/2) (*.f64 #s(literal 1/6 binary64) y)) y #s(literal 1 binary64)) y #s(literal 1 binary64))))
85.4%
(*.f64 x #s(approx (exp y) (fma.f64 #s(approx (+ (* (+ (* 1/6 y) 1/2) y) 1) (*.f64 #s(literal 1/6 binary64) (*.f64 y y))) y #s(literal 1 binary64))))
40.0%
(*.f64 x #s(approx (exp y) #s(approx (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) (*.f64 y y) y))))
39.4%
(*.f64 x #s(approx (exp y) #s(approx (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (*.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) (*.f64 y y)))))
39.2%
(*.f64 x #s(approx (exp y) #s(approx (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (*.f64 (*.f64 (*.f64 y y) y) #s(literal 1/6 binary64)))))
94.1%
#s(approx (* x (exp (* y y))) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)) (*.f64 (*.f64 y y) x) x))
87.9%
#s(approx (* x (exp (* y y))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 y y) x) x) (*.f64 y y) x))
94.1%
#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)))) y) y x))
69.9%
#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 (*.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (*.f64 (*.f64 y y) y) y) #s(literal 1/36 binary64))) (-.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 #s(literal 1/6 binary64) y) y))) (*.f64 y y) #s(literal 1 binary64)) x) y) y x))
71.4%
#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 y y)) (*.f64 y y) #s(literal -1/4 binary64)) (*.f64 y y)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1/2 binary64))) #s(literal 1 binary64)) x) y) y x))
93.8%
#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 (*.f64 #s(approx (+ (* (+ (* 1/6 (* y y)) 1/2) (* y y)) 1) (*.f64 (*.f64 (*.f64 (*.f64 y y) y) #s(literal 1/6 binary64)) y)) x) y) y x))
87.6%
#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 #s(approx (+ (* 1/2 (* (* y y) x)) x) (*.f64 (*.f64 #s(literal 1/2 binary64) y) (*.f64 y x))) y) y x))
69.9%
#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 x (fma.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 y y)) (*.f64 y y) #s(literal -1/4 binary64)) (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1/2 binary64))) (*.f64 y y) #s(literal 1 binary64))) (*.f64 y y) x))
87.6%
#s(approx (* x (exp (* y y))) (fma.f64 #s(approx (+ (* 1/2 (* (* y y) x)) x) (*.f64 (*.f64 (*.f64 y y) x) #s(literal 1/2 binary64))) (*.f64 y y) x))
73.4%
#s(approx (* x (exp (* y y))) (fma.f64 #s(approx (* (+ (* 1/2 (* (* y y) x)) x) y) (*.f64 y x)) y x))
92.8%
#s(approx (* x (exp (* y y))) (fma.f64 #s(approx (* x (+ (* (+ (* (* y y) 1/6) 1/2) (* y y)) 1)) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1/2 binary64)) (*.f64 (*.f64 y y) x))) (*.f64 y y) x))
41.3%
#s(approx (* x (exp (* y y))) #s(approx (+ (* (+ (* 1/2 (* (* y y) x)) x) (* y y)) x) (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 y y) x)) y) y)))
42.0%
#s(approx (* x (exp (* y y))) #s(approx (+ (* (+ (* 1/2 (* (* y y) x)) x) (* y y)) x) (*.f64 (*.f64 y x) (*.f64 (*.f64 (*.f64 y y) #s(literal 1/2 binary64)) y))))
80.9%
#s(approx (* x (exp y)) (fma.f64 (fma.f64 (*.f64 x (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64))) y x) y x))
82.3%
#s(approx (* x (exp y)) (fma.f64 (*.f64 y x) (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) x))
60.2%
#s(approx (* x (exp y)) (fma.f64 y x x))
40.8%
#s(approx (* x (exp y)) (/.f64 (*.f64 (fma.f64 y x x) (-.f64 (*.f64 y x) x)) (-.f64 (*.f64 y x) x)))
15.3%
#s(approx (* x (exp y)) #s(approx (+ (* y x) x) (*.f64 y x)))
Compiler

Compiled 1 370 to 474 computations (65.4% saved)

regimes149.0ms (0.5%)

Memory
-10.8MiB live, 185.7MiB allocated
Counts
46 → 1
Calls
Call 1
Inputs
#s(approx (* x (exp y)) #s(approx (+ (* y x) x) (*.f64 y x)))
(*.f64 x #s(approx (exp (* y y)) #s(literal 1 binary64)))
#s(approx (* x (exp y)) (fma.f64 y x x))
(*.f64 x #s(approx (exp (* y y)) #s(approx (+ (* y y) 1) (*.f64 y y))))
#s(approx (* x (exp (* y y))) (fma.f64 #s(approx (* (+ (* 1/2 (* (* y y) x)) x) y) (*.f64 y x)) y x))
(*.f64 x #s(approx (exp (* y y)) (fma.f64 y y #s(literal 1 binary64))))
(*.f64 x #s(approx (exp y) #s(approx (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (*.f64 (*.f64 (*.f64 y y) y) #s(literal 1/6 binary64)))))
(*.f64 x #s(approx (exp y) #s(approx (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (*.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) (*.f64 y y)))))
(*.f64 x #s(approx (exp y) (fma.f64 #s(approx (+ (* (+ (* 1/6 y) 1/2) y) 1) (*.f64 #s(literal 1/6 binary64) (*.f64 y y))) y #s(literal 1 binary64))))
(*.f64 x #s(approx (exp y) #s(approx (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) (*.f64 y y) y))))
(*.f64 x #s(approx (exp y) (fma.f64 (fma.f64 #s(approx (+ (* 1/6 y) 1/2) (*.f64 #s(literal 1/6 binary64) y)) y #s(literal 1 binary64)) y #s(literal 1 binary64))))
#s(approx (* x (exp y)) (fma.f64 (*.f64 y x) (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) x))
#s(approx (* x (exp y)) (fma.f64 (fma.f64 (*.f64 x (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64))) y x) y x))
(*.f64 x #s(approx (exp y) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y #s(literal 1 binary64))))
#s(approx (* x (exp (* y y))) #s(approx (+ (* (+ (* 1/2 (* (* y y) x)) x) (* y y)) x) (*.f64 (*.f64 y x) (*.f64 (*.f64 (*.f64 y y) #s(literal 1/2 binary64)) y))))
#s(approx (* x (exp (* y y))) #s(approx (+ (* (+ (* 1/2 (* (* y y) x)) x) (* y y)) x) (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 y y) x)) y) y)))
(*.f64 x #s(approx (exp (* y y)) #s(approx (+ (* (+ (* 1/2 (* y y)) 1) (* y y)) 1) (*.f64 (*.f64 (*.f64 y y) y) (*.f64 #s(literal 1/2 binary64) y)))))
#s(approx (* x (exp (* y y))) (fma.f64 #s(approx (+ (* 1/2 (* (* y y) x)) x) (*.f64 (*.f64 (*.f64 y y) x) #s(literal 1/2 binary64))) (*.f64 y y) x))
#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 #s(approx (+ (* 1/2 (* (* y y) x)) x) (*.f64 (*.f64 #s(literal 1/2 binary64) y) (*.f64 y x))) y) y x))
(*.f64 x #s(approx (exp (* y y)) #s(approx (+ (* (+ (* 1/2 (* y y)) 1) (* y y)) 1) (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/2 binary64) #s(literal 1 binary64)) y) y))))
(*.f64 x #s(approx (exp (* y y)) (fma.f64 #s(approx (+ (* 1/2 (* y y)) 1) (*.f64 (*.f64 y y) #s(literal 1/2 binary64))) (*.f64 y y) #s(literal 1 binary64))))
#s(approx (* x (exp (* y y))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 y y) x) x) (*.f64 y y) x))
(*.f64 x #s(approx (exp (* y y)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y y) #s(literal 1 binary64)) (*.f64 y y) #s(literal 1 binary64))))
#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 x #s(approx (+ (* (+ (* (* y y) 1/6) 1/2) (* y y)) 1) (*.f64 (*.f64 (*.f64 (*.f64 y y) y) #s(literal 1/6 binary64)) y))) (*.f64 y y) x))
#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 (*.f64 #s(approx (+ (* (+ (* 1/6 (* y y)) 1/2) (* y y)) 1) (*.f64 (*.f64 (*.f64 (*.f64 y y) y) #s(literal 1/6 binary64)) y)) x) y) y x))
(*.f64 x #s(approx (exp (* y y)) (fma.f64 #s(approx (+ (* (+ (* (* y y) 1/6) 1/2) (* y y)) 1) (*.f64 (*.f64 (*.f64 (*.f64 y y) y) #s(literal 1/6 binary64)) y)) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 x #s(approx (exp (* y y)) (fma.f64 (*.f64 #s(approx (+ (* (+ (* (* y y) 1/6) 1/2) (* y y)) 1) (*.f64 (*.f64 (*.f64 (*.f64 y y) y) #s(literal 1/6 binary64)) y)) y) y #s(literal 1 binary64))))
#s(approx (* x (exp (* y y))) (fma.f64 #s(approx (* x (+ (* (+ (* (* y y) 1/6) 1/2) (* y y)) 1)) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1/2 binary64)) (*.f64 (*.f64 y y) x))) (*.f64 y y) x))
#s(approx (* x (exp y)) (/.f64 (*.f64 (fma.f64 y x x) (-.f64 (*.f64 y x) x)) (-.f64 (*.f64 y x) x)))
#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 x (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) (*.f64 y y) x))
#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)) x) y) y x))
#s(approx (* x (exp (* y y))) (fma.f64 (fma.f64 (*.f64 y y) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1/2 binary64)) x) x) (*.f64 y y) x))
#s(approx (* x (exp (* y y))) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)) (*.f64 (*.f64 y y) x) x))
(*.f64 x #s(approx (exp (* y y)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 x #s(approx (exp (* y y)) (fma.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)) (*.f64 y y) #s(literal 1 binary64))))
#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)))) y) y x))
(*.f64 x #s(approx (exp (* y y)) (fma.f64 #s(approx (+ (* (+ (* (* y y) 1/6) 1/2) (* y y)) 1) (*.f64 (*.f64 (*.f64 y y) (*.f64 y y)) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 y y)) #s(literal 1/6 binary64)))) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 x #s(approx (exp (* y y)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(approx (+ (* (+ (* (* y y) 1/6) 1/2) (* y y)) 1) (*.f64 (*.f64 (*.f64 (*.f64 y y) y) #s(literal 1/6 binary64)) y)) (*.f64 y y) #s(literal 1 binary64))))))
#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 x (fma.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 y y)) (*.f64 y y) #s(literal -1/4 binary64)) (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1/2 binary64))) (*.f64 y y) #s(literal 1 binary64))) (*.f64 y y) x))
#s(approx (* x (exp (* y y))) (fma.f64 (/.f64 (*.f64 x (-.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 y y) x)) (*.f64 y y)) x)) (-.f64 (*.f64 (*.f64 (*.f64 y y) #s(literal 1/2 binary64)) x) x)) (*.f64 y y) x))
#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 (*.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (*.f64 (*.f64 y y) y) y) #s(literal 1/36 binary64))) (-.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 #s(literal 1/6 binary64) y) y))) (*.f64 y y) #s(literal 1 binary64)) x) y) y x))
#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 y y)) (*.f64 y y) #s(literal -1/4 binary64)) (*.f64 y y)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1/2 binary64))) #s(literal 1 binary64)) x) y) y x))
(*.f64 x #s(approx (exp (* y y)) (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 y y) y) y) (*.f64 (*.f64 (*.f64 y y) y) y) #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 (*.f64 y y) y) y #s(literal 1 binary64)) (fma.f64 y y #s(literal -1 binary64))))))
#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 x (fma.f64 (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 y y) y)) #s(literal 1/216 binary64) #s(literal 1/8 binary64)) (fma.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 y y)) (*.f64 y y) (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 y y) #s(literal 1/12 binary64))))) (*.f64 y y) #s(literal 1 binary64))) (*.f64 y y) x))
(*.f64 x (exp.f64 y))
(*.f64 x (exp.f64 (*.f64 y y)))
Outputs
(*.f64 x (exp.f64 (*.f64 y y)))
Calls

5 calls:

42.0ms
x
31.0ms
y
30.0ms
(*.f64 y y)
24.0ms
(*.f64 x (exp.f64 (*.f64 y y)))
18.0ms
(exp.f64 (*.f64 y y))
Results
AccuracySegmentsBranch
100.0%1x
100.0%1y
100.0%1(*.f64 x (exp.f64 (*.f64 y y)))
100.0%1(exp.f64 (*.f64 y y))
100.0%1(*.f64 y y)
Compiler

Compiled 25 to 16 computations (36% saved)

regimes132.0ms (0.5%)

Memory
24.4MiB live, 217.2MiB allocated
Counts
45 → 1
Calls
Call 1
Inputs
#s(approx (* x (exp y)) #s(approx (+ (* y x) x) (*.f64 y x)))
(*.f64 x #s(approx (exp (* y y)) #s(literal 1 binary64)))
#s(approx (* x (exp y)) (fma.f64 y x x))
(*.f64 x #s(approx (exp (* y y)) #s(approx (+ (* y y) 1) (*.f64 y y))))
#s(approx (* x (exp (* y y))) (fma.f64 #s(approx (* (+ (* 1/2 (* (* y y) x)) x) y) (*.f64 y x)) y x))
(*.f64 x #s(approx (exp (* y y)) (fma.f64 y y #s(literal 1 binary64))))
(*.f64 x #s(approx (exp y) #s(approx (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (*.f64 (*.f64 (*.f64 y y) y) #s(literal 1/6 binary64)))))
(*.f64 x #s(approx (exp y) #s(approx (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (*.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) (*.f64 y y)))))
(*.f64 x #s(approx (exp y) (fma.f64 #s(approx (+ (* (+ (* 1/6 y) 1/2) y) 1) (*.f64 #s(literal 1/6 binary64) (*.f64 y y))) y #s(literal 1 binary64))))
(*.f64 x #s(approx (exp y) #s(approx (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) (*.f64 y y) y))))
(*.f64 x #s(approx (exp y) (fma.f64 (fma.f64 #s(approx (+ (* 1/6 y) 1/2) (*.f64 #s(literal 1/6 binary64) y)) y #s(literal 1 binary64)) y #s(literal 1 binary64))))
#s(approx (* x (exp y)) (fma.f64 (*.f64 y x) (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) x))
#s(approx (* x (exp y)) (fma.f64 (fma.f64 (*.f64 x (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64))) y x) y x))
(*.f64 x #s(approx (exp y) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y #s(literal 1 binary64))))
#s(approx (* x (exp (* y y))) #s(approx (+ (* (+ (* 1/2 (* (* y y) x)) x) (* y y)) x) (*.f64 (*.f64 y x) (*.f64 (*.f64 (*.f64 y y) #s(literal 1/2 binary64)) y))))
#s(approx (* x (exp (* y y))) #s(approx (+ (* (+ (* 1/2 (* (* y y) x)) x) (* y y)) x) (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 y y) x)) y) y)))
(*.f64 x #s(approx (exp (* y y)) #s(approx (+ (* (+ (* 1/2 (* y y)) 1) (* y y)) 1) (*.f64 (*.f64 (*.f64 y y) y) (*.f64 #s(literal 1/2 binary64) y)))))
#s(approx (* x (exp (* y y))) (fma.f64 #s(approx (+ (* 1/2 (* (* y y) x)) x) (*.f64 (*.f64 (*.f64 y y) x) #s(literal 1/2 binary64))) (*.f64 y y) x))
#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 #s(approx (+ (* 1/2 (* (* y y) x)) x) (*.f64 (*.f64 #s(literal 1/2 binary64) y) (*.f64 y x))) y) y x))
(*.f64 x #s(approx (exp (* y y)) #s(approx (+ (* (+ (* 1/2 (* y y)) 1) (* y y)) 1) (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/2 binary64) #s(literal 1 binary64)) y) y))))
(*.f64 x #s(approx (exp (* y y)) (fma.f64 #s(approx (+ (* 1/2 (* y y)) 1) (*.f64 (*.f64 y y) #s(literal 1/2 binary64))) (*.f64 y y) #s(literal 1 binary64))))
#s(approx (* x (exp (* y y))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 y y) x) x) (*.f64 y y) x))
(*.f64 x #s(approx (exp (* y y)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y y) #s(literal 1 binary64)) (*.f64 y y) #s(literal 1 binary64))))
#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 x #s(approx (+ (* (+ (* (* y y) 1/6) 1/2) (* y y)) 1) (*.f64 (*.f64 (*.f64 (*.f64 y y) y) #s(literal 1/6 binary64)) y))) (*.f64 y y) x))
#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 (*.f64 #s(approx (+ (* (+ (* 1/6 (* y y)) 1/2) (* y y)) 1) (*.f64 (*.f64 (*.f64 (*.f64 y y) y) #s(literal 1/6 binary64)) y)) x) y) y x))
(*.f64 x #s(approx (exp (* y y)) (fma.f64 #s(approx (+ (* (+ (* (* y y) 1/6) 1/2) (* y y)) 1) (*.f64 (*.f64 (*.f64 (*.f64 y y) y) #s(literal 1/6 binary64)) y)) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 x #s(approx (exp (* y y)) (fma.f64 (*.f64 #s(approx (+ (* (+ (* (* y y) 1/6) 1/2) (* y y)) 1) (*.f64 (*.f64 (*.f64 (*.f64 y y) y) #s(literal 1/6 binary64)) y)) y) y #s(literal 1 binary64))))
#s(approx (* x (exp (* y y))) (fma.f64 #s(approx (* x (+ (* (+ (* (* y y) 1/6) 1/2) (* y y)) 1)) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1/2 binary64)) (*.f64 (*.f64 y y) x))) (*.f64 y y) x))
#s(approx (* x (exp y)) (/.f64 (*.f64 (fma.f64 y x x) (-.f64 (*.f64 y x) x)) (-.f64 (*.f64 y x) x)))
#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 x (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) (*.f64 y y) x))
#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)) x) y) y x))
#s(approx (* x (exp (* y y))) (fma.f64 (fma.f64 (*.f64 y y) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1/2 binary64)) x) x) (*.f64 y y) x))
#s(approx (* x (exp (* y y))) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)) (*.f64 (*.f64 y y) x) x))
(*.f64 x #s(approx (exp (* y y)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 x #s(approx (exp (* y y)) (fma.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)) (*.f64 y y) #s(literal 1 binary64))))
#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)))) y) y x))
(*.f64 x #s(approx (exp (* y y)) (fma.f64 #s(approx (+ (* (+ (* (* y y) 1/6) 1/2) (* y y)) 1) (*.f64 (*.f64 (*.f64 y y) (*.f64 y y)) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 y y)) #s(literal 1/6 binary64)))) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 x #s(approx (exp (* y y)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(approx (+ (* (+ (* (* y y) 1/6) 1/2) (* y y)) 1) (*.f64 (*.f64 (*.f64 (*.f64 y y) y) #s(literal 1/6 binary64)) y)) (*.f64 y y) #s(literal 1 binary64))))))
#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 x (fma.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 y y)) (*.f64 y y) #s(literal -1/4 binary64)) (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1/2 binary64))) (*.f64 y y) #s(literal 1 binary64))) (*.f64 y y) x))
#s(approx (* x (exp (* y y))) (fma.f64 (/.f64 (*.f64 x (-.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 y y) x)) (*.f64 y y)) x)) (-.f64 (*.f64 (*.f64 (*.f64 y y) #s(literal 1/2 binary64)) x) x)) (*.f64 y y) x))
#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 (*.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (*.f64 (*.f64 y y) y) y) #s(literal 1/36 binary64))) (-.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 #s(literal 1/6 binary64) y) y))) (*.f64 y y) #s(literal 1 binary64)) x) y) y x))
#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 y y)) (*.f64 y y) #s(literal -1/4 binary64)) (*.f64 y y)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1/2 binary64))) #s(literal 1 binary64)) x) y) y x))
(*.f64 x #s(approx (exp (* y y)) (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 y y) y) y) (*.f64 (*.f64 (*.f64 y y) y) y) #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 (*.f64 y y) y) y #s(literal 1 binary64)) (fma.f64 y y #s(literal -1 binary64))))))
#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 x (fma.f64 (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 y y) y)) #s(literal 1/216 binary64) #s(literal 1/8 binary64)) (fma.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 y y)) (*.f64 y y) (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 y y) #s(literal 1/12 binary64))))) (*.f64 y y) #s(literal 1 binary64))) (*.f64 y y) x))
(*.f64 x (exp.f64 y))
Outputs
(*.f64 x (exp.f64 y))
Calls

5 calls:

39.0ms
x
24.0ms
y
23.0ms
(*.f64 x (exp.f64 (*.f64 y y)))
23.0ms
(*.f64 y y)
21.0ms
(exp.f64 (*.f64 y y))
Results
AccuracySegmentsBranch
98.6%1x
98.6%1y
98.6%1(*.f64 x (exp.f64 (*.f64 y y)))
98.6%1(exp.f64 (*.f64 y y))
98.6%1(*.f64 y y)
Compiler

Compiled 25 to 16 computations (36% saved)

regimes79.0ms (0.3%)

Memory
-29.4MiB live, 126.9MiB allocated
Counts
44 → 1
Calls
Call 1
Inputs
#s(approx (* x (exp y)) #s(approx (+ (* y x) x) (*.f64 y x)))
(*.f64 x #s(approx (exp (* y y)) #s(literal 1 binary64)))
#s(approx (* x (exp y)) (fma.f64 y x x))
(*.f64 x #s(approx (exp (* y y)) #s(approx (+ (* y y) 1) (*.f64 y y))))
#s(approx (* x (exp (* y y))) (fma.f64 #s(approx (* (+ (* 1/2 (* (* y y) x)) x) y) (*.f64 y x)) y x))
(*.f64 x #s(approx (exp (* y y)) (fma.f64 y y #s(literal 1 binary64))))
(*.f64 x #s(approx (exp y) #s(approx (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (*.f64 (*.f64 (*.f64 y y) y) #s(literal 1/6 binary64)))))
(*.f64 x #s(approx (exp y) #s(approx (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (*.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) (*.f64 y y)))))
(*.f64 x #s(approx (exp y) (fma.f64 #s(approx (+ (* (+ (* 1/6 y) 1/2) y) 1) (*.f64 #s(literal 1/6 binary64) (*.f64 y y))) y #s(literal 1 binary64))))
(*.f64 x #s(approx (exp y) #s(approx (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) (*.f64 y y) y))))
(*.f64 x #s(approx (exp y) (fma.f64 (fma.f64 #s(approx (+ (* 1/6 y) 1/2) (*.f64 #s(literal 1/6 binary64) y)) y #s(literal 1 binary64)) y #s(literal 1 binary64))))
#s(approx (* x (exp y)) (fma.f64 (*.f64 y x) (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) x))
#s(approx (* x (exp y)) (fma.f64 (fma.f64 (*.f64 x (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64))) y x) y x))
(*.f64 x #s(approx (exp y) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y #s(literal 1 binary64))))
#s(approx (* x (exp (* y y))) #s(approx (+ (* (+ (* 1/2 (* (* y y) x)) x) (* y y)) x) (*.f64 (*.f64 y x) (*.f64 (*.f64 (*.f64 y y) #s(literal 1/2 binary64)) y))))
#s(approx (* x (exp (* y y))) #s(approx (+ (* (+ (* 1/2 (* (* y y) x)) x) (* y y)) x) (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 y y) x)) y) y)))
(*.f64 x #s(approx (exp (* y y)) #s(approx (+ (* (+ (* 1/2 (* y y)) 1) (* y y)) 1) (*.f64 (*.f64 (*.f64 y y) y) (*.f64 #s(literal 1/2 binary64) y)))))
#s(approx (* x (exp (* y y))) (fma.f64 #s(approx (+ (* 1/2 (* (* y y) x)) x) (*.f64 (*.f64 (*.f64 y y) x) #s(literal 1/2 binary64))) (*.f64 y y) x))
#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 #s(approx (+ (* 1/2 (* (* y y) x)) x) (*.f64 (*.f64 #s(literal 1/2 binary64) y) (*.f64 y x))) y) y x))
(*.f64 x #s(approx (exp (* y y)) #s(approx (+ (* (+ (* 1/2 (* y y)) 1) (* y y)) 1) (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/2 binary64) #s(literal 1 binary64)) y) y))))
(*.f64 x #s(approx (exp (* y y)) (fma.f64 #s(approx (+ (* 1/2 (* y y)) 1) (*.f64 (*.f64 y y) #s(literal 1/2 binary64))) (*.f64 y y) #s(literal 1 binary64))))
#s(approx (* x (exp (* y y))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 y y) x) x) (*.f64 y y) x))
(*.f64 x #s(approx (exp (* y y)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y y) #s(literal 1 binary64)) (*.f64 y y) #s(literal 1 binary64))))
#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 x #s(approx (+ (* (+ (* (* y y) 1/6) 1/2) (* y y)) 1) (*.f64 (*.f64 (*.f64 (*.f64 y y) y) #s(literal 1/6 binary64)) y))) (*.f64 y y) x))
#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 (*.f64 #s(approx (+ (* (+ (* 1/6 (* y y)) 1/2) (* y y)) 1) (*.f64 (*.f64 (*.f64 (*.f64 y y) y) #s(literal 1/6 binary64)) y)) x) y) y x))
(*.f64 x #s(approx (exp (* y y)) (fma.f64 #s(approx (+ (* (+ (* (* y y) 1/6) 1/2) (* y y)) 1) (*.f64 (*.f64 (*.f64 (*.f64 y y) y) #s(literal 1/6 binary64)) y)) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 x #s(approx (exp (* y y)) (fma.f64 (*.f64 #s(approx (+ (* (+ (* (* y y) 1/6) 1/2) (* y y)) 1) (*.f64 (*.f64 (*.f64 (*.f64 y y) y) #s(literal 1/6 binary64)) y)) y) y #s(literal 1 binary64))))
#s(approx (* x (exp (* y y))) (fma.f64 #s(approx (* x (+ (* (+ (* (* y y) 1/6) 1/2) (* y y)) 1)) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1/2 binary64)) (*.f64 (*.f64 y y) x))) (*.f64 y y) x))
#s(approx (* x (exp y)) (/.f64 (*.f64 (fma.f64 y x x) (-.f64 (*.f64 y x) x)) (-.f64 (*.f64 y x) x)))
#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 x (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) (*.f64 y y) x))
#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)) x) y) y x))
#s(approx (* x (exp (* y y))) (fma.f64 (fma.f64 (*.f64 y y) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1/2 binary64)) x) x) (*.f64 y y) x))
#s(approx (* x (exp (* y y))) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)) (*.f64 (*.f64 y y) x) x))
(*.f64 x #s(approx (exp (* y y)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 x #s(approx (exp (* y y)) (fma.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)) (*.f64 y y) #s(literal 1 binary64))))
#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)))) y) y x))
(*.f64 x #s(approx (exp (* y y)) (fma.f64 #s(approx (+ (* (+ (* (* y y) 1/6) 1/2) (* y y)) 1) (*.f64 (*.f64 (*.f64 y y) (*.f64 y y)) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 y y)) #s(literal 1/6 binary64)))) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 x #s(approx (exp (* y y)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(approx (+ (* (+ (* (* y y) 1/6) 1/2) (* y y)) 1) (*.f64 (*.f64 (*.f64 (*.f64 y y) y) #s(literal 1/6 binary64)) y)) (*.f64 y y) #s(literal 1 binary64))))))
#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 x (fma.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 y y)) (*.f64 y y) #s(literal -1/4 binary64)) (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1/2 binary64))) (*.f64 y y) #s(literal 1 binary64))) (*.f64 y y) x))
#s(approx (* x (exp (* y y))) (fma.f64 (/.f64 (*.f64 x (-.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 y y) x)) (*.f64 y y)) x)) (-.f64 (*.f64 (*.f64 (*.f64 y y) #s(literal 1/2 binary64)) x) x)) (*.f64 y y) x))
#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 (*.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (*.f64 (*.f64 y y) y) y) #s(literal 1/36 binary64))) (-.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 #s(literal 1/6 binary64) y) y))) (*.f64 y y) #s(literal 1 binary64)) x) y) y x))
#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 y y)) (*.f64 y y) #s(literal -1/4 binary64)) (*.f64 y y)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1/2 binary64))) #s(literal 1 binary64)) x) y) y x))
(*.f64 x #s(approx (exp (* y y)) (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 y y) y) y) (*.f64 (*.f64 (*.f64 y y) y) y) #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 (*.f64 y y) y) y #s(literal 1 binary64)) (fma.f64 y y #s(literal -1 binary64))))))
#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 x (fma.f64 (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 y y) y)) #s(literal 1/216 binary64) #s(literal 1/8 binary64)) (fma.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 y y)) (*.f64 y y) (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 y y) #s(literal 1/12 binary64))))) (*.f64 y y) #s(literal 1 binary64))) (*.f64 y y) x))
Outputs
(*.f64 x #s(approx (exp (* y y)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)) (*.f64 y y) #s(literal 1 binary64))))
Calls

5 calls:

26.0ms
(*.f64 y y)
14.0ms
y
12.0ms
x
12.0ms
(exp.f64 (*.f64 y y))
11.0ms
(*.f64 x (exp.f64 (*.f64 y y)))
Results
AccuracySegmentsBranch
95.6%1x
95.6%1y
95.6%1(*.f64 x (exp.f64 (*.f64 y y)))
95.6%1(exp.f64 (*.f64 y y))
95.6%1(*.f64 y y)
Compiler

Compiled 25 to 16 computations (36% saved)

regimes54.0ms (0.2%)

Memory
-1.0MiB live, 86.2MiB allocated
Counts
33 → 1
Calls
Call 1
Inputs
#s(approx (* x (exp y)) #s(approx (+ (* y x) x) (*.f64 y x)))
(*.f64 x #s(approx (exp (* y y)) #s(literal 1 binary64)))
#s(approx (* x (exp y)) (fma.f64 y x x))
(*.f64 x #s(approx (exp (* y y)) #s(approx (+ (* y y) 1) (*.f64 y y))))
#s(approx (* x (exp (* y y))) (fma.f64 #s(approx (* (+ (* 1/2 (* (* y y) x)) x) y) (*.f64 y x)) y x))
(*.f64 x #s(approx (exp (* y y)) (fma.f64 y y #s(literal 1 binary64))))
(*.f64 x #s(approx (exp y) #s(approx (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (*.f64 (*.f64 (*.f64 y y) y) #s(literal 1/6 binary64)))))
(*.f64 x #s(approx (exp y) #s(approx (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (*.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) (*.f64 y y)))))
(*.f64 x #s(approx (exp y) (fma.f64 #s(approx (+ (* (+ (* 1/6 y) 1/2) y) 1) (*.f64 #s(literal 1/6 binary64) (*.f64 y y))) y #s(literal 1 binary64))))
(*.f64 x #s(approx (exp y) #s(approx (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) (*.f64 y y) y))))
(*.f64 x #s(approx (exp y) (fma.f64 (fma.f64 #s(approx (+ (* 1/6 y) 1/2) (*.f64 #s(literal 1/6 binary64) y)) y #s(literal 1 binary64)) y #s(literal 1 binary64))))
#s(approx (* x (exp y)) (fma.f64 (*.f64 y x) (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) x))
#s(approx (* x (exp y)) (fma.f64 (fma.f64 (*.f64 x (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64))) y x) y x))
(*.f64 x #s(approx (exp y) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y #s(literal 1 binary64))))
#s(approx (* x (exp (* y y))) #s(approx (+ (* (+ (* 1/2 (* (* y y) x)) x) (* y y)) x) (*.f64 (*.f64 y x) (*.f64 (*.f64 (*.f64 y y) #s(literal 1/2 binary64)) y))))
#s(approx (* x (exp (* y y))) #s(approx (+ (* (+ (* 1/2 (* (* y y) x)) x) (* y y)) x) (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 y y) x)) y) y)))
(*.f64 x #s(approx (exp (* y y)) #s(approx (+ (* (+ (* 1/2 (* y y)) 1) (* y y)) 1) (*.f64 (*.f64 (*.f64 y y) y) (*.f64 #s(literal 1/2 binary64) y)))))
#s(approx (* x (exp (* y y))) (fma.f64 #s(approx (+ (* 1/2 (* (* y y) x)) x) (*.f64 (*.f64 (*.f64 y y) x) #s(literal 1/2 binary64))) (*.f64 y y) x))
#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 #s(approx (+ (* 1/2 (* (* y y) x)) x) (*.f64 (*.f64 #s(literal 1/2 binary64) y) (*.f64 y x))) y) y x))
(*.f64 x #s(approx (exp (* y y)) #s(approx (+ (* (+ (* 1/2 (* y y)) 1) (* y y)) 1) (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/2 binary64) #s(literal 1 binary64)) y) y))))
(*.f64 x #s(approx (exp (* y y)) (fma.f64 #s(approx (+ (* 1/2 (* y y)) 1) (*.f64 (*.f64 y y) #s(literal 1/2 binary64))) (*.f64 y y) #s(literal 1 binary64))))
#s(approx (* x (exp (* y y))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 y y) x) x) (*.f64 y y) x))
(*.f64 x #s(approx (exp (* y y)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y y) #s(literal 1 binary64)) (*.f64 y y) #s(literal 1 binary64))))
#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 x #s(approx (+ (* (+ (* (* y y) 1/6) 1/2) (* y y)) 1) (*.f64 (*.f64 (*.f64 (*.f64 y y) y) #s(literal 1/6 binary64)) y))) (*.f64 y y) x))
#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 (*.f64 #s(approx (+ (* (+ (* 1/6 (* y y)) 1/2) (* y y)) 1) (*.f64 (*.f64 (*.f64 (*.f64 y y) y) #s(literal 1/6 binary64)) y)) x) y) y x))
(*.f64 x #s(approx (exp (* y y)) (fma.f64 #s(approx (+ (* (+ (* (* y y) 1/6) 1/2) (* y y)) 1) (*.f64 (*.f64 (*.f64 (*.f64 y y) y) #s(literal 1/6 binary64)) y)) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 x #s(approx (exp (* y y)) (fma.f64 (*.f64 #s(approx (+ (* (+ (* (* y y) 1/6) 1/2) (* y y)) 1) (*.f64 (*.f64 (*.f64 (*.f64 y y) y) #s(literal 1/6 binary64)) y)) y) y #s(literal 1 binary64))))
#s(approx (* x (exp (* y y))) (fma.f64 #s(approx (* x (+ (* (+ (* (* y y) 1/6) 1/2) (* y y)) 1)) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1/2 binary64)) (*.f64 (*.f64 y y) x))) (*.f64 y y) x))
#s(approx (* x (exp y)) (/.f64 (*.f64 (fma.f64 y x x) (-.f64 (*.f64 y x) x)) (-.f64 (*.f64 y x) x)))
#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 x (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) (*.f64 y y) x))
#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)) x) y) y x))
#s(approx (* x (exp (* y y))) (fma.f64 (fma.f64 (*.f64 y y) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1/2 binary64)) x) x) (*.f64 y y) x))
#s(approx (* x (exp (* y y))) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)) (*.f64 (*.f64 y y) x) x))
Outputs
(*.f64 x #s(approx (exp (* y y)) (fma.f64 #s(approx (+ (* (+ (* (* y y) 1/6) 1/2) (* y y)) 1) (*.f64 (*.f64 (*.f64 (*.f64 y y) y) #s(literal 1/6 binary64)) y)) (*.f64 y y) #s(literal 1 binary64))))
Calls

5 calls:

14.0ms
x
11.0ms
(exp.f64 (*.f64 y y))
9.0ms
y
9.0ms
(*.f64 x (exp.f64 (*.f64 y y)))
8.0ms
(*.f64 y y)
Results
AccuracySegmentsBranch
95.3%1x
95.3%1y
95.3%1(*.f64 x (exp.f64 (*.f64 y y)))
95.3%1(exp.f64 (*.f64 y y))
95.3%1(*.f64 y y)
Compiler

Compiled 25 to 16 computations (36% saved)

regimes38.0ms (0.1%)

Memory
5.2MiB live, 81.5MiB allocated
Counts
25 → 1
Calls
Call 1
Inputs
#s(approx (* x (exp y)) #s(approx (+ (* y x) x) (*.f64 y x)))
(*.f64 x #s(approx (exp (* y y)) #s(literal 1 binary64)))
#s(approx (* x (exp y)) (fma.f64 y x x))
(*.f64 x #s(approx (exp (* y y)) #s(approx (+ (* y y) 1) (*.f64 y y))))
#s(approx (* x (exp (* y y))) (fma.f64 #s(approx (* (+ (* 1/2 (* (* y y) x)) x) y) (*.f64 y x)) y x))
(*.f64 x #s(approx (exp (* y y)) (fma.f64 y y #s(literal 1 binary64))))
(*.f64 x #s(approx (exp y) #s(approx (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (*.f64 (*.f64 (*.f64 y y) y) #s(literal 1/6 binary64)))))
(*.f64 x #s(approx (exp y) #s(approx (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (*.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) (*.f64 y y)))))
(*.f64 x #s(approx (exp y) (fma.f64 #s(approx (+ (* (+ (* 1/6 y) 1/2) y) 1) (*.f64 #s(literal 1/6 binary64) (*.f64 y y))) y #s(literal 1 binary64))))
(*.f64 x #s(approx (exp y) #s(approx (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) (*.f64 y y) y))))
(*.f64 x #s(approx (exp y) (fma.f64 (fma.f64 #s(approx (+ (* 1/6 y) 1/2) (*.f64 #s(literal 1/6 binary64) y)) y #s(literal 1 binary64)) y #s(literal 1 binary64))))
#s(approx (* x (exp y)) (fma.f64 (*.f64 y x) (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) x))
#s(approx (* x (exp y)) (fma.f64 (fma.f64 (*.f64 x (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64))) y x) y x))
(*.f64 x #s(approx (exp y) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y #s(literal 1 binary64))))
#s(approx (* x (exp (* y y))) #s(approx (+ (* (+ (* 1/2 (* (* y y) x)) x) (* y y)) x) (*.f64 (*.f64 y x) (*.f64 (*.f64 (*.f64 y y) #s(literal 1/2 binary64)) y))))
#s(approx (* x (exp (* y y))) #s(approx (+ (* (+ (* 1/2 (* (* y y) x)) x) (* y y)) x) (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 y y) x)) y) y)))
(*.f64 x #s(approx (exp (* y y)) #s(approx (+ (* (+ (* 1/2 (* y y)) 1) (* y y)) 1) (*.f64 (*.f64 (*.f64 y y) y) (*.f64 #s(literal 1/2 binary64) y)))))
#s(approx (* x (exp (* y y))) (fma.f64 #s(approx (+ (* 1/2 (* (* y y) x)) x) (*.f64 (*.f64 (*.f64 y y) x) #s(literal 1/2 binary64))) (*.f64 y y) x))
#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 #s(approx (+ (* 1/2 (* (* y y) x)) x) (*.f64 (*.f64 #s(literal 1/2 binary64) y) (*.f64 y x))) y) y x))
(*.f64 x #s(approx (exp (* y y)) #s(approx (+ (* (+ (* 1/2 (* y y)) 1) (* y y)) 1) (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/2 binary64) #s(literal 1 binary64)) y) y))))
(*.f64 x #s(approx (exp (* y y)) (fma.f64 #s(approx (+ (* 1/2 (* y y)) 1) (*.f64 (*.f64 y y) #s(literal 1/2 binary64))) (*.f64 y y) #s(literal 1 binary64))))
#s(approx (* x (exp (* y y))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 y y) x) x) (*.f64 y y) x))
(*.f64 x #s(approx (exp (* y y)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y y) #s(literal 1 binary64)) (*.f64 y y) #s(literal 1 binary64))))
#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 x #s(approx (+ (* (+ (* (* y y) 1/6) 1/2) (* y y)) 1) (*.f64 (*.f64 (*.f64 (*.f64 y y) y) #s(literal 1/6 binary64)) y))) (*.f64 y y) x))
#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 (*.f64 #s(approx (+ (* (+ (* 1/6 (* y y)) 1/2) (* y y)) 1) (*.f64 (*.f64 (*.f64 (*.f64 y y) y) #s(literal 1/6 binary64)) y)) x) y) y x))
Outputs
#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 x #s(approx (+ (* (+ (* (* y y) 1/6) 1/2) (* y y)) 1) (*.f64 (*.f64 (*.f64 (*.f64 y y) y) #s(literal 1/6 binary64)) y))) (*.f64 y y) x))
Calls

5 calls:

9.0ms
x
7.0ms
y
7.0ms
(exp.f64 (*.f64 y y))
7.0ms
(*.f64 x (exp.f64 (*.f64 y y)))
7.0ms
(*.f64 y y)
Results
AccuracySegmentsBranch
93.8%1x
93.8%1(*.f64 x (exp.f64 (*.f64 y y)))
93.8%1(exp.f64 (*.f64 y y))
93.8%1y
93.8%1(*.f64 y y)
Compiler

Compiled 25 to 16 computations (36% saved)

regimes36.0ms (0.1%)

Memory
-3.8MiB live, 78.1MiB allocated
Counts
23 → 1
Calls
Call 1
Inputs
#s(approx (* x (exp y)) #s(approx (+ (* y x) x) (*.f64 y x)))
(*.f64 x #s(approx (exp (* y y)) #s(literal 1 binary64)))
#s(approx (* x (exp y)) (fma.f64 y x x))
(*.f64 x #s(approx (exp (* y y)) #s(approx (+ (* y y) 1) (*.f64 y y))))
#s(approx (* x (exp (* y y))) (fma.f64 #s(approx (* (+ (* 1/2 (* (* y y) x)) x) y) (*.f64 y x)) y x))
(*.f64 x #s(approx (exp (* y y)) (fma.f64 y y #s(literal 1 binary64))))
(*.f64 x #s(approx (exp y) #s(approx (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (*.f64 (*.f64 (*.f64 y y) y) #s(literal 1/6 binary64)))))
(*.f64 x #s(approx (exp y) #s(approx (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (*.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) (*.f64 y y)))))
(*.f64 x #s(approx (exp y) (fma.f64 #s(approx (+ (* (+ (* 1/6 y) 1/2) y) 1) (*.f64 #s(literal 1/6 binary64) (*.f64 y y))) y #s(literal 1 binary64))))
(*.f64 x #s(approx (exp y) #s(approx (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) (*.f64 y y) y))))
(*.f64 x #s(approx (exp y) (fma.f64 (fma.f64 #s(approx (+ (* 1/6 y) 1/2) (*.f64 #s(literal 1/6 binary64) y)) y #s(literal 1 binary64)) y #s(literal 1 binary64))))
#s(approx (* x (exp y)) (fma.f64 (*.f64 y x) (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) x))
#s(approx (* x (exp y)) (fma.f64 (fma.f64 (*.f64 x (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64))) y x) y x))
(*.f64 x #s(approx (exp y) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y #s(literal 1 binary64))))
#s(approx (* x (exp (* y y))) #s(approx (+ (* (+ (* 1/2 (* (* y y) x)) x) (* y y)) x) (*.f64 (*.f64 y x) (*.f64 (*.f64 (*.f64 y y) #s(literal 1/2 binary64)) y))))
#s(approx (* x (exp (* y y))) #s(approx (+ (* (+ (* 1/2 (* (* y y) x)) x) (* y y)) x) (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 y y) x)) y) y)))
(*.f64 x #s(approx (exp (* y y)) #s(approx (+ (* (+ (* 1/2 (* y y)) 1) (* y y)) 1) (*.f64 (*.f64 (*.f64 y y) y) (*.f64 #s(literal 1/2 binary64) y)))))
#s(approx (* x (exp (* y y))) (fma.f64 #s(approx (+ (* 1/2 (* (* y y) x)) x) (*.f64 (*.f64 (*.f64 y y) x) #s(literal 1/2 binary64))) (*.f64 y y) x))
#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 #s(approx (+ (* 1/2 (* (* y y) x)) x) (*.f64 (*.f64 #s(literal 1/2 binary64) y) (*.f64 y x))) y) y x))
(*.f64 x #s(approx (exp (* y y)) #s(approx (+ (* (+ (* 1/2 (* y y)) 1) (* y y)) 1) (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/2 binary64) #s(literal 1 binary64)) y) y))))
(*.f64 x #s(approx (exp (* y y)) (fma.f64 #s(approx (+ (* 1/2 (* y y)) 1) (*.f64 (*.f64 y y) #s(literal 1/2 binary64))) (*.f64 y y) #s(literal 1 binary64))))
#s(approx (* x (exp (* y y))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 y y) x) x) (*.f64 y y) x))
(*.f64 x #s(approx (exp (* y y)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y y) #s(literal 1 binary64)) (*.f64 y y) #s(literal 1 binary64))))
Outputs
(*.f64 x #s(approx (exp (* y y)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y y) #s(literal 1 binary64)) (*.f64 y y) #s(literal 1 binary64))))
Calls

5 calls:

9.0ms
(*.f64 x (exp.f64 (*.f64 y y)))
8.0ms
x
7.0ms
y
6.0ms
(*.f64 y y)
5.0ms
(exp.f64 (*.f64 y y))
Results
AccuracySegmentsBranch
90.8%1x
90.8%1y
90.8%1(*.f64 x (exp.f64 (*.f64 y y)))
90.8%1(exp.f64 (*.f64 y y))
90.8%1(*.f64 y y)
Compiler

Compiled 25 to 16 computations (36% saved)

regimes35.0ms (0.1%)

Memory
19.6MiB live, 58.3MiB allocated
Counts
22 → 1
Calls
Call 1
Inputs
#s(approx (* x (exp y)) #s(approx (+ (* y x) x) (*.f64 y x)))
(*.f64 x #s(approx (exp (* y y)) #s(literal 1 binary64)))
#s(approx (* x (exp y)) (fma.f64 y x x))
(*.f64 x #s(approx (exp (* y y)) #s(approx (+ (* y y) 1) (*.f64 y y))))
#s(approx (* x (exp (* y y))) (fma.f64 #s(approx (* (+ (* 1/2 (* (* y y) x)) x) y) (*.f64 y x)) y x))
(*.f64 x #s(approx (exp (* y y)) (fma.f64 y y #s(literal 1 binary64))))
(*.f64 x #s(approx (exp y) #s(approx (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (*.f64 (*.f64 (*.f64 y y) y) #s(literal 1/6 binary64)))))
(*.f64 x #s(approx (exp y) #s(approx (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (*.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) (*.f64 y y)))))
(*.f64 x #s(approx (exp y) (fma.f64 #s(approx (+ (* (+ (* 1/6 y) 1/2) y) 1) (*.f64 #s(literal 1/6 binary64) (*.f64 y y))) y #s(literal 1 binary64))))
(*.f64 x #s(approx (exp y) #s(approx (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) (*.f64 y y) y))))
(*.f64 x #s(approx (exp y) (fma.f64 (fma.f64 #s(approx (+ (* 1/6 y) 1/2) (*.f64 #s(literal 1/6 binary64) y)) y #s(literal 1 binary64)) y #s(literal 1 binary64))))
#s(approx (* x (exp y)) (fma.f64 (*.f64 y x) (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) x))
#s(approx (* x (exp y)) (fma.f64 (fma.f64 (*.f64 x (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64))) y x) y x))
(*.f64 x #s(approx (exp y) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y #s(literal 1 binary64))))
#s(approx (* x (exp (* y y))) #s(approx (+ (* (+ (* 1/2 (* (* y y) x)) x) (* y y)) x) (*.f64 (*.f64 y x) (*.f64 (*.f64 (*.f64 y y) #s(literal 1/2 binary64)) y))))
#s(approx (* x (exp (* y y))) #s(approx (+ (* (+ (* 1/2 (* (* y y) x)) x) (* y y)) x) (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 y y) x)) y) y)))
(*.f64 x #s(approx (exp (* y y)) #s(approx (+ (* (+ (* 1/2 (* y y)) 1) (* y y)) 1) (*.f64 (*.f64 (*.f64 y y) y) (*.f64 #s(literal 1/2 binary64) y)))))
#s(approx (* x (exp (* y y))) (fma.f64 #s(approx (+ (* 1/2 (* (* y y) x)) x) (*.f64 (*.f64 (*.f64 y y) x) #s(literal 1/2 binary64))) (*.f64 y y) x))
#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 #s(approx (+ (* 1/2 (* (* y y) x)) x) (*.f64 (*.f64 #s(literal 1/2 binary64) y) (*.f64 y x))) y) y x))
(*.f64 x #s(approx (exp (* y y)) #s(approx (+ (* (+ (* 1/2 (* y y)) 1) (* y y)) 1) (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/2 binary64) #s(literal 1 binary64)) y) y))))
(*.f64 x #s(approx (exp (* y y)) (fma.f64 #s(approx (+ (* 1/2 (* y y)) 1) (*.f64 (*.f64 y y) #s(literal 1/2 binary64))) (*.f64 y y) #s(literal 1 binary64))))
#s(approx (* x (exp (* y y))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 y y) x) x) (*.f64 y y) x))
Outputs
(*.f64 x #s(approx (exp (* y y)) (fma.f64 #s(approx (+ (* 1/2 (* y y)) 1) (*.f64 (*.f64 y y) #s(literal 1/2 binary64))) (*.f64 y y) #s(literal 1 binary64))))
Calls

5 calls:

7.0ms
x
7.0ms
y
6.0ms
(exp.f64 (*.f64 y y))
6.0ms
(*.f64 x (exp.f64 (*.f64 y y)))
6.0ms
(*.f64 y y)
Results
AccuracySegmentsBranch
90.5%1x
90.5%1(*.f64 x (exp.f64 (*.f64 y y)))
90.5%1(exp.f64 (*.f64 y y))
90.5%1y
90.5%1(*.f64 y y)
Compiler

Compiled 25 to 16 computations (36% saved)

regimes51.0ms (0.2%)

Memory
1.2MiB live, 38.2MiB allocated
Counts
20 → 2
Calls
Call 1
Inputs
#s(approx (* x (exp y)) #s(approx (+ (* y x) x) (*.f64 y x)))
(*.f64 x #s(approx (exp (* y y)) #s(literal 1 binary64)))
#s(approx (* x (exp y)) (fma.f64 y x x))
(*.f64 x #s(approx (exp (* y y)) #s(approx (+ (* y y) 1) (*.f64 y y))))
#s(approx (* x (exp (* y y))) (fma.f64 #s(approx (* (+ (* 1/2 (* (* y y) x)) x) y) (*.f64 y x)) y x))
(*.f64 x #s(approx (exp (* y y)) (fma.f64 y y #s(literal 1 binary64))))
(*.f64 x #s(approx (exp y) #s(approx (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (*.f64 (*.f64 (*.f64 y y) y) #s(literal 1/6 binary64)))))
(*.f64 x #s(approx (exp y) #s(approx (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (*.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) (*.f64 y y)))))
(*.f64 x #s(approx (exp y) (fma.f64 #s(approx (+ (* (+ (* 1/6 y) 1/2) y) 1) (*.f64 #s(literal 1/6 binary64) (*.f64 y y))) y #s(literal 1 binary64))))
(*.f64 x #s(approx (exp y) #s(approx (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) (*.f64 y y) y))))
(*.f64 x #s(approx (exp y) (fma.f64 (fma.f64 #s(approx (+ (* 1/6 y) 1/2) (*.f64 #s(literal 1/6 binary64) y)) y #s(literal 1 binary64)) y #s(literal 1 binary64))))
#s(approx (* x (exp y)) (fma.f64 (*.f64 y x) (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) x))
#s(approx (* x (exp y)) (fma.f64 (fma.f64 (*.f64 x (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64))) y x) y x))
(*.f64 x #s(approx (exp y) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y #s(literal 1 binary64))))
#s(approx (* x (exp (* y y))) #s(approx (+ (* (+ (* 1/2 (* (* y y) x)) x) (* y y)) x) (*.f64 (*.f64 y x) (*.f64 (*.f64 (*.f64 y y) #s(literal 1/2 binary64)) y))))
#s(approx (* x (exp (* y y))) #s(approx (+ (* (+ (* 1/2 (* (* y y) x)) x) (* y y)) x) (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 y y) x)) y) y)))
(*.f64 x #s(approx (exp (* y y)) #s(approx (+ (* (+ (* 1/2 (* y y)) 1) (* y y)) 1) (*.f64 (*.f64 (*.f64 y y) y) (*.f64 #s(literal 1/2 binary64) y)))))
#s(approx (* x (exp (* y y))) (fma.f64 #s(approx (+ (* 1/2 (* (* y y) x)) x) (*.f64 (*.f64 (*.f64 y y) x) #s(literal 1/2 binary64))) (*.f64 y y) x))
#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 #s(approx (+ (* 1/2 (* (* y y) x)) x) (*.f64 (*.f64 #s(literal 1/2 binary64) y) (*.f64 y x))) y) y x))
(*.f64 x #s(approx (exp (* y y)) #s(approx (+ (* (+ (* 1/2 (* y y)) 1) (* y y)) 1) (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/2 binary64) #s(literal 1 binary64)) y) y))))
Outputs
#s(approx (* x (exp (* y y))) (fma.f64 #s(approx (* (+ (* 1/2 (* (* y y) x)) x) y) (*.f64 y x)) y x))
(*.f64 x #s(approx (exp (* y y)) #s(approx (+ (* (+ (* 1/2 (* y y)) 1) (* y y)) 1) (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/2 binary64) #s(literal 1 binary64)) y) y))))
Calls

5 calls:

24.0ms
y
8.0ms
(*.f64 y y)
6.0ms
x
6.0ms
(*.f64 x (exp.f64 (*.f64 y y)))
5.0ms
(exp.f64 (*.f64 y y))
Results
AccuracySegmentsBranch
87.6%1x
90.8%2(*.f64 x (exp.f64 (*.f64 y y)))
90.8%2(exp.f64 (*.f64 y y))
90.8%2y
90.8%2(*.f64 y y)
Compiler

Compiled 25 to 16 computations (36% saved)

regimes27.0ms (0.1%)

Memory
-3.7MiB live, 36.6MiB allocated
Counts
19 → 2
Calls
Call 1
Inputs
#s(approx (* x (exp y)) #s(approx (+ (* y x) x) (*.f64 y x)))
(*.f64 x #s(approx (exp (* y y)) #s(literal 1 binary64)))
#s(approx (* x (exp y)) (fma.f64 y x x))
(*.f64 x #s(approx (exp (* y y)) #s(approx (+ (* y y) 1) (*.f64 y y))))
#s(approx (* x (exp (* y y))) (fma.f64 #s(approx (* (+ (* 1/2 (* (* y y) x)) x) y) (*.f64 y x)) y x))
(*.f64 x #s(approx (exp (* y y)) (fma.f64 y y #s(literal 1 binary64))))
(*.f64 x #s(approx (exp y) #s(approx (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (*.f64 (*.f64 (*.f64 y y) y) #s(literal 1/6 binary64)))))
(*.f64 x #s(approx (exp y) #s(approx (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (*.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) (*.f64 y y)))))
(*.f64 x #s(approx (exp y) (fma.f64 #s(approx (+ (* (+ (* 1/6 y) 1/2) y) 1) (*.f64 #s(literal 1/6 binary64) (*.f64 y y))) y #s(literal 1 binary64))))
(*.f64 x #s(approx (exp y) #s(approx (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) (*.f64 y y) y))))
(*.f64 x #s(approx (exp y) (fma.f64 (fma.f64 #s(approx (+ (* 1/6 y) 1/2) (*.f64 #s(literal 1/6 binary64) y)) y #s(literal 1 binary64)) y #s(literal 1 binary64))))
#s(approx (* x (exp y)) (fma.f64 (*.f64 y x) (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) x))
#s(approx (* x (exp y)) (fma.f64 (fma.f64 (*.f64 x (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64))) y x) y x))
(*.f64 x #s(approx (exp y) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y #s(literal 1 binary64))))
#s(approx (* x (exp (* y y))) #s(approx (+ (* (+ (* 1/2 (* (* y y) x)) x) (* y y)) x) (*.f64 (*.f64 y x) (*.f64 (*.f64 (*.f64 y y) #s(literal 1/2 binary64)) y))))
#s(approx (* x (exp (* y y))) #s(approx (+ (* (+ (* 1/2 (* (* y y) x)) x) (* y y)) x) (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 y y) x)) y) y)))
(*.f64 x #s(approx (exp (* y y)) #s(approx (+ (* (+ (* 1/2 (* y y)) 1) (* y y)) 1) (*.f64 (*.f64 (*.f64 y y) y) (*.f64 #s(literal 1/2 binary64) y)))))
#s(approx (* x (exp (* y y))) (fma.f64 #s(approx (+ (* 1/2 (* (* y y) x)) x) (*.f64 (*.f64 (*.f64 y y) x) #s(literal 1/2 binary64))) (*.f64 y y) x))
#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 #s(approx (+ (* 1/2 (* (* y y) x)) x) (*.f64 (*.f64 #s(literal 1/2 binary64) y) (*.f64 y x))) y) y x))
Outputs
#s(approx (* x (exp (* y y))) (fma.f64 #s(approx (* (+ (* 1/2 (* (* y y) x)) x) y) (*.f64 y x)) y x))
(*.f64 x #s(approx (exp (* y y)) #s(approx (+ (* (+ (* 1/2 (* y y)) 1) (* y y)) 1) (*.f64 (*.f64 (*.f64 y y) y) (*.f64 #s(literal 1/2 binary64) y)))))
Calls

4 calls:

10.0ms
y
5.0ms
(*.f64 x (exp.f64 (*.f64 y y)))
5.0ms
(*.f64 y y)
4.0ms
(exp.f64 (*.f64 y y))
Results
AccuracySegmentsBranch
90.8%2(*.f64 x (exp.f64 (*.f64 y y)))
90.8%2(exp.f64 (*.f64 y y))
90.8%2y
90.8%2(*.f64 y y)
Compiler

Compiled 22 to 14 computations (36.4% saved)

regimes27.0ms (0.1%)

Memory
5.3MiB live, 42.1MiB allocated
Counts
16 → 2
Calls
Call 1
Inputs
#s(approx (* x (exp y)) #s(approx (+ (* y x) x) (*.f64 y x)))
(*.f64 x #s(approx (exp (* y y)) #s(literal 1 binary64)))
#s(approx (* x (exp y)) (fma.f64 y x x))
(*.f64 x #s(approx (exp (* y y)) #s(approx (+ (* y y) 1) (*.f64 y y))))
#s(approx (* x (exp (* y y))) (fma.f64 #s(approx (* (+ (* 1/2 (* (* y y) x)) x) y) (*.f64 y x)) y x))
(*.f64 x #s(approx (exp (* y y)) (fma.f64 y y #s(literal 1 binary64))))
(*.f64 x #s(approx (exp y) #s(approx (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (*.f64 (*.f64 (*.f64 y y) y) #s(literal 1/6 binary64)))))
(*.f64 x #s(approx (exp y) #s(approx (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (*.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) (*.f64 y y)))))
(*.f64 x #s(approx (exp y) (fma.f64 #s(approx (+ (* (+ (* 1/6 y) 1/2) y) 1) (*.f64 #s(literal 1/6 binary64) (*.f64 y y))) y #s(literal 1 binary64))))
(*.f64 x #s(approx (exp y) #s(approx (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) (*.f64 y y) y))))
(*.f64 x #s(approx (exp y) (fma.f64 (fma.f64 #s(approx (+ (* 1/6 y) 1/2) (*.f64 #s(literal 1/6 binary64) y)) y #s(literal 1 binary64)) y #s(literal 1 binary64))))
#s(approx (* x (exp y)) (fma.f64 (*.f64 y x) (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) x))
#s(approx (* x (exp y)) (fma.f64 (fma.f64 (*.f64 x (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64))) y x) y x))
(*.f64 x #s(approx (exp y) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y #s(literal 1 binary64))))
#s(approx (* x (exp (* y y))) #s(approx (+ (* (+ (* 1/2 (* (* y y) x)) x) (* y y)) x) (*.f64 (*.f64 y x) (*.f64 (*.f64 (*.f64 y y) #s(literal 1/2 binary64)) y))))
#s(approx (* x (exp (* y y))) #s(approx (+ (* (+ (* 1/2 (* (* y y) x)) x) (* y y)) x) (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 y y) x)) y) y)))
Outputs
#s(approx (* x (exp (* y y))) (fma.f64 #s(approx (* (+ (* 1/2 (* (* y y) x)) x) y) (*.f64 y x)) y x))
#s(approx (* x (exp (* y y))) #s(approx (+ (* (+ (* 1/2 (* (* y y) x)) x) (* y y)) x) (*.f64 (*.f64 y x) (*.f64 (*.f64 (*.f64 y y) #s(literal 1/2 binary64)) y))))
Calls

5 calls:

8.0ms
y
5.0ms
x
5.0ms
(*.f64 x (exp.f64 (*.f64 y y)))
5.0ms
(*.f64 y y)
4.0ms
(exp.f64 (*.f64 y y))
Results
AccuracySegmentsBranch
85.4%1x
88.5%2(*.f64 x (exp.f64 (*.f64 y y)))
88.5%2(exp.f64 (*.f64 y y))
88.5%2y
88.5%2(*.f64 y y)
Compiler

Compiled 25 to 16 computations (36% saved)

regimes24.0ms (0.1%)

Memory
-2.6MiB live, 35.3MiB allocated
Counts
14 → 1
Calls
Call 1
Inputs
#s(approx (* x (exp y)) #s(approx (+ (* y x) x) (*.f64 y x)))
(*.f64 x #s(approx (exp (* y y)) #s(literal 1 binary64)))
#s(approx (* x (exp y)) (fma.f64 y x x))
(*.f64 x #s(approx (exp (* y y)) #s(approx (+ (* y y) 1) (*.f64 y y))))
#s(approx (* x (exp (* y y))) (fma.f64 #s(approx (* (+ (* 1/2 (* (* y y) x)) x) y) (*.f64 y x)) y x))
(*.f64 x #s(approx (exp (* y y)) (fma.f64 y y #s(literal 1 binary64))))
(*.f64 x #s(approx (exp y) #s(approx (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (*.f64 (*.f64 (*.f64 y y) y) #s(literal 1/6 binary64)))))
(*.f64 x #s(approx (exp y) #s(approx (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (*.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) (*.f64 y y)))))
(*.f64 x #s(approx (exp y) (fma.f64 #s(approx (+ (* (+ (* 1/6 y) 1/2) y) 1) (*.f64 #s(literal 1/6 binary64) (*.f64 y y))) y #s(literal 1 binary64))))
(*.f64 x #s(approx (exp y) #s(approx (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) (*.f64 y y) y))))
(*.f64 x #s(approx (exp y) (fma.f64 (fma.f64 #s(approx (+ (* 1/6 y) 1/2) (*.f64 #s(literal 1/6 binary64) y)) y #s(literal 1 binary64)) y #s(literal 1 binary64))))
#s(approx (* x (exp y)) (fma.f64 (*.f64 y x) (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) x))
#s(approx (* x (exp y)) (fma.f64 (fma.f64 (*.f64 x (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64))) y x) y x))
(*.f64 x #s(approx (exp y) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y #s(literal 1 binary64))))
Outputs
(*.f64 x #s(approx (exp y) (fma.f64 #s(approx (+ (* (+ (* 1/6 y) 1/2) y) 1) (*.f64 #s(literal 1/6 binary64) (*.f64 y y))) y #s(literal 1 binary64))))
Calls

5 calls:

7.0ms
(*.f64 x (exp.f64 (*.f64 y y)))
5.0ms
x
5.0ms
y
4.0ms
(*.f64 y y)
3.0ms
(exp.f64 (*.f64 y y))
Results
AccuracySegmentsBranch
85.4%1x
85.4%1y
85.4%1(*.f64 x (exp.f64 (*.f64 y y)))
85.4%1(exp.f64 (*.f64 y y))
85.4%1(*.f64 y y)
Compiler

Compiled 25 to 16 computations (36% saved)

regimes18.0ms (0.1%)

Memory
-12.3MiB live, 25.6MiB allocated
Counts
8 → 2
Calls
Call 1
Inputs
#s(approx (* x (exp y)) #s(approx (+ (* y x) x) (*.f64 y x)))
(*.f64 x #s(approx (exp (* y y)) #s(literal 1 binary64)))
#s(approx (* x (exp y)) (fma.f64 y x x))
(*.f64 x #s(approx (exp (* y y)) #s(approx (+ (* y y) 1) (*.f64 y y))))
#s(approx (* x (exp (* y y))) (fma.f64 #s(approx (* (+ (* 1/2 (* (* y y) x)) x) y) (*.f64 y x)) y x))
(*.f64 x #s(approx (exp (* y y)) (fma.f64 y y #s(literal 1 binary64))))
(*.f64 x #s(approx (exp y) #s(approx (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (*.f64 (*.f64 (*.f64 y y) y) #s(literal 1/6 binary64)))))
(*.f64 x #s(approx (exp y) #s(approx (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (*.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) (*.f64 y y)))))
Outputs
#s(approx (* x (exp (* y y))) (fma.f64 #s(approx (* (+ (* 1/2 (* (* y y) x)) x) y) (*.f64 y x)) y x))
(*.f64 x #s(approx (exp y) #s(approx (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (*.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) (*.f64 y y)))))
Calls

5 calls:

6.0ms
y
3.0ms
x
3.0ms
(*.f64 x (exp.f64 (*.f64 y y)))
3.0ms
(*.f64 y y)
2.0ms
(exp.f64 (*.f64 y y))
Results
AccuracySegmentsBranch
85.6%2y
85.6%2(*.f64 y y)
85.6%2(*.f64 x (exp.f64 (*.f64 y y)))
85.6%2(exp.f64 (*.f64 y y))
80.7%1x
Compiler

Compiled 25 to 16 computations (36% saved)

regimes11.0ms (0%)

Memory
20.2MiB live, 20.2MiB allocated
Counts
7 → 2
Calls
Call 1
Inputs
#s(approx (* x (exp y)) #s(approx (+ (* y x) x) (*.f64 y x)))
(*.f64 x #s(approx (exp (* y y)) #s(literal 1 binary64)))
#s(approx (* x (exp y)) (fma.f64 y x x))
(*.f64 x #s(approx (exp (* y y)) #s(approx (+ (* y y) 1) (*.f64 y y))))
#s(approx (* x (exp (* y y))) (fma.f64 #s(approx (* (+ (* 1/2 (* (* y y) x)) x) y) (*.f64 y x)) y x))
(*.f64 x #s(approx (exp (* y y)) (fma.f64 y y #s(literal 1 binary64))))
(*.f64 x #s(approx (exp y) #s(approx (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (*.f64 (*.f64 (*.f64 y y) y) #s(literal 1/6 binary64)))))
Outputs
#s(approx (* x (exp (* y y))) (fma.f64 #s(approx (* (+ (* 1/2 (* (* y y) x)) x) y) (*.f64 y x)) y x))
(*.f64 x #s(approx (exp y) #s(approx (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (*.f64 (*.f64 (*.f64 y y) y) #s(literal 1/6 binary64)))))
Calls

4 calls:

3.0ms
y
3.0ms
(*.f64 x (exp.f64 (*.f64 y y)))
3.0ms
(*.f64 y y)
2.0ms
(exp.f64 (*.f64 y y))
Results
AccuracySegmentsBranch
85.6%2y
85.6%2(*.f64 y y)
85.6%2(*.f64 x (exp.f64 (*.f64 y y)))
85.6%2(exp.f64 (*.f64 y y))
Compiler

Compiled 22 to 14 computations (36.4% saved)

regimes14.0ms (0.1%)

Memory
-26.0MiB live, 19.5MiB allocated
Counts
6 → 1
Calls
Call 1
Inputs
#s(approx (* x (exp y)) #s(approx (+ (* y x) x) (*.f64 y x)))
(*.f64 x #s(approx (exp (* y y)) #s(literal 1 binary64)))
#s(approx (* x (exp y)) (fma.f64 y x x))
(*.f64 x #s(approx (exp (* y y)) #s(approx (+ (* y y) 1) (*.f64 y y))))
#s(approx (* x (exp (* y y))) (fma.f64 #s(approx (* (+ (* 1/2 (* (* y y) x)) x) y) (*.f64 y x)) y x))
(*.f64 x #s(approx (exp (* y y)) (fma.f64 y y #s(literal 1 binary64))))
Outputs
(*.f64 x #s(approx (exp (* y y)) (fma.f64 y y #s(literal 1 binary64))))
Calls

4 calls:

7.0ms
y
2.0ms
(*.f64 x (exp.f64 (*.f64 y y)))
2.0ms
(*.f64 y y)
2.0ms
(exp.f64 (*.f64 y y))
Results
AccuracySegmentsBranch
80.7%1y
80.7%1(*.f64 y y)
80.7%1(*.f64 x (exp.f64 (*.f64 y y)))
80.7%1(exp.f64 (*.f64 y y))
Compiler

Compiled 22 to 14 computations (36.4% saved)

regimes12.0ms (0%)

Memory
26.7MiB live, 26.7MiB allocated
Counts
5 → 2
Calls
Call 1
Inputs
#s(approx (* x (exp y)) #s(approx (+ (* y x) x) (*.f64 y x)))
(*.f64 x #s(approx (exp (* y y)) #s(literal 1 binary64)))
#s(approx (* x (exp y)) (fma.f64 y x x))
(*.f64 x #s(approx (exp (* y y)) #s(approx (+ (* y y) 1) (*.f64 y y))))
#s(approx (* x (exp (* y y))) (fma.f64 #s(approx (* (+ (* 1/2 (* (* y y) x)) x) y) (*.f64 y x)) y x))
Outputs
#s(approx (* x (exp (* y y))) (fma.f64 #s(approx (* (+ (* 1/2 (* (* y y) x)) x) y) (*.f64 y x)) y x))
(*.f64 x #s(approx (exp (* y y)) #s(approx (+ (* y y) 1) (*.f64 y y))))
Calls

5 calls:

2.0ms
x
2.0ms
y
2.0ms
(*.f64 x (exp.f64 (*.f64 y y)))
2.0ms
(*.f64 y y)
2.0ms
(exp.f64 (*.f64 y y))
Results
AccuracySegmentsBranch
80.7%2y
80.7%2(*.f64 y y)
73.4%1x
80.7%2(*.f64 x (exp.f64 (*.f64 y y)))
80.7%2(exp.f64 (*.f64 y y))
Compiler

Compiled 25 to 16 computations (36% saved)

regimes9.0ms (0%)

Memory
-12.2MiB live, 26.6MiB allocated
Counts
4 → 2
Calls
Call 1
Inputs
#s(approx (* x (exp y)) #s(approx (+ (* y x) x) (*.f64 y x)))
(*.f64 x #s(approx (exp (* y y)) #s(literal 1 binary64)))
#s(approx (* x (exp y)) (fma.f64 y x x))
(*.f64 x #s(approx (exp (* y y)) #s(approx (+ (* y y) 1) (*.f64 y y))))
Outputs
(*.f64 x #s(approx (exp (* y y)) #s(literal 1 binary64)))
(*.f64 x #s(approx (exp (* y y)) #s(approx (+ (* y y) 1) (*.f64 y y))))
Calls

4 calls:

3.0ms
y
2.0ms
(*.f64 x (exp.f64 (*.f64 y y)))
2.0ms
(*.f64 y y)
2.0ms
(exp.f64 (*.f64 y y))
Results
AccuracySegmentsBranch
80.4%2(*.f64 x (exp.f64 (*.f64 y y)))
80.4%2(exp.f64 (*.f64 y y))
80.4%2y
80.4%2(*.f64 y y)
Compiler

Compiled 22 to 14 computations (36.4% saved)

regimes41.0ms (0.1%)

Memory
-14.9MiB live, 24.3MiB allocated
Counts
3 → 1
Calls
Call 1
Inputs
#s(approx (* x (exp y)) #s(approx (+ (* y x) x) (*.f64 y x)))
(*.f64 x #s(approx (exp (* y y)) #s(literal 1 binary64)))
#s(approx (* x (exp y)) (fma.f64 y x x))
Outputs
#s(approx (* x (exp y)) (fma.f64 y x x))
Calls

5 calls:

34.0ms
x
2.0ms
y
2.0ms
(*.f64 x (exp.f64 (*.f64 y y)))
2.0ms
(*.f64 y y)
1.0ms
(exp.f64 (*.f64 y y))
Results
AccuracySegmentsBranch
60.2%1x
60.2%1y
60.2%1(*.f64 y y)
60.2%1(*.f64 x (exp.f64 (*.f64 y y)))
60.2%1(exp.f64 (*.f64 y y))
Compiler

Compiled 25 to 16 computations (36% saved)

regimes8.0ms (0%)

Memory
15.0MiB live, 15.0MiB allocated
Counts
2 → 2
Calls
Call 1
Inputs
#s(approx (* x (exp y)) #s(approx (+ (* y x) x) (*.f64 y x)))
(*.f64 x #s(approx (exp (* y y)) #s(literal 1 binary64)))
Outputs
(*.f64 x #s(approx (exp (* y y)) #s(literal 1 binary64)))
#s(approx (* x (exp y)) #s(approx (+ (* y x) x) (*.f64 y x)))
Calls

5 calls:

2.0ms
x
2.0ms
y
1.0ms
(*.f64 x (exp.f64 (*.f64 y y)))
1.0ms
(*.f64 y y)
1.0ms
(exp.f64 (*.f64 y y))
Results
AccuracySegmentsBranch
60.7%2y
60.7%2(*.f64 y y)
50.2%1x
60.7%2(*.f64 x (exp.f64 (*.f64 y y)))
60.7%2(exp.f64 (*.f64 y y))
Compiler

Compiled 25 to 16 computations (36% saved)

regimes6.0ms (0%)

Memory
14.9MiB live, 14.9MiB allocated
Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

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

5 calls:

1.0ms
x
1.0ms
y
1.0ms
(*.f64 x (exp.f64 (*.f64 y y)))
1.0ms
(*.f64 y y)
1.0ms
(exp.f64 (*.f64 y y))
Results
AccuracySegmentsBranch
15.3%1x
15.3%1(*.f64 y y)
15.3%1y
15.3%1(*.f64 x (exp.f64 (*.f64 y y)))
15.3%1(exp.f64 (*.f64 y y))
Compiler

Compiled 25 to 16 computations (36% saved)

bsearch0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.4905014435731156
7287.884704621115
Compiler

Compiled 11 to 10 computations (9.1% saved)

bsearch0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.4905014435731156
7287.884704621115
Compiler

Compiled 11 to 10 computations (9.1% saved)

bsearch0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.4905014435731156
7287.884704621115
Compiler

Compiled 11 to 10 computations (9.1% saved)

bsearch0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
1.6331349396868864
+inf
Compiler

Compiled 11 to 10 computations (9.1% saved)

bsearch0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
1.6331349396868864
+inf
Compiler

Compiled 11 to 10 computations (9.1% saved)

bsearch0.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
3.2303144181903186e+74
7.55279234493364e+75
Compiler

Compiled 11 to 10 computations (9.1% saved)

bsearch0.0ms (0%)

Memory
0.3MiB live, 0.2MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
1.6331349396868864
+inf
Compiler

Compiled 11 to 10 computations (9.1% saved)

bsearch0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
1.6331349396868864
+inf
Compiler

Compiled 11 to 10 computations (9.1% saved)

simplify31.0ms (0.1%)

Memory
-17.0MiB live, 22.4MiB allocated
Algorithm
egg-herbie
Rules
56×*-commutative_binary64
1-exp_binary64
1-exp_binary32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0119617
1150617
Stop Event
saturated
Calls
Call 1
Inputs
(*.f64 x (exp.f64 (*.f64 y y)))
(*.f64 x (exp.f64 y))
(*.f64 x #s(approx (exp (* y y)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 x #s(approx (exp (* y y)) (fma.f64 #s(approx (+ (* (+ (* (* y y) 1/6) 1/2) (* y y)) 1) (*.f64 (*.f64 (*.f64 (*.f64 y y) y) #s(literal 1/6 binary64)) y)) (*.f64 y y) #s(literal 1 binary64))))
#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 x #s(approx (+ (* (+ (* (* y y) 1/6) 1/2) (* y y)) 1) (*.f64 (*.f64 (*.f64 (*.f64 y y) y) #s(literal 1/6 binary64)) y))) (*.f64 y y) x))
(*.f64 x #s(approx (exp (* y y)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y y) #s(literal 1 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 x #s(approx (exp (* y y)) (fma.f64 #s(approx (+ (* 1/2 (* y y)) 1) (*.f64 (*.f64 y y) #s(literal 1/2 binary64))) (*.f64 y y) #s(literal 1 binary64))))
(if (<=.f64 (*.f64 y y) #s(literal 1/2 binary64)) #s(approx (* x (exp (* y y))) (fma.f64 #s(approx (* (+ (* 1/2 (* (* y y) x)) x) y) (*.f64 y x)) y x)) (*.f64 x #s(approx (exp (* y y)) #s(approx (+ (* (+ (* 1/2 (* y y)) 1) (* y y)) 1) (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/2 binary64) #s(literal 1 binary64)) y) y)))))
(if (<=.f64 (*.f64 y y) #s(literal 1/2 binary64)) #s(approx (* x (exp (* y y))) (fma.f64 #s(approx (* (+ (* 1/2 (* (* y y) x)) x) y) (*.f64 y x)) y x)) (*.f64 x #s(approx (exp (* y y)) #s(approx (+ (* (+ (* 1/2 (* y y)) 1) (* y y)) 1) (*.f64 (*.f64 (*.f64 y y) y) (*.f64 #s(literal 1/2 binary64) y))))))
(if (<=.f64 (*.f64 y y) #s(literal 1/2 binary64)) #s(approx (* x (exp (* y y))) (fma.f64 #s(approx (* (+ (* 1/2 (* (* y y) x)) x) y) (*.f64 y x)) y x)) #s(approx (* x (exp (* y y))) #s(approx (+ (* (+ (* 1/2 (* (* y y) x)) x) (* y y)) x) (*.f64 (*.f64 y x) (*.f64 (*.f64 (*.f64 y y) #s(literal 1/2 binary64)) y)))))
(*.f64 x #s(approx (exp y) (fma.f64 #s(approx (+ (* (+ (* 1/6 y) 1/2) y) 1) (*.f64 #s(literal 1/6 binary64) (*.f64 y y))) y #s(literal 1 binary64))))
(if (<=.f64 (exp.f64 (*.f64 y y)) #s(literal 2 binary64)) #s(approx (* x (exp (* y y))) (fma.f64 #s(approx (* (+ (* 1/2 (* (* y y) x)) x) y) (*.f64 y x)) y x)) (*.f64 x #s(approx (exp y) #s(approx (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (*.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) (*.f64 y y))))))
(if (<=.f64 (exp.f64 (*.f64 y y)) #s(literal 2 binary64)) #s(approx (* x (exp (* y y))) (fma.f64 #s(approx (* (+ (* 1/2 (* (* y y) x)) x) y) (*.f64 y x)) y x)) (*.f64 x #s(approx (exp y) #s(approx (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (*.f64 (*.f64 (*.f64 y y) y) #s(literal 1/6 binary64))))))
(*.f64 x #s(approx (exp (* y y)) (fma.f64 y y #s(literal 1 binary64))))
(if (<=.f64 (*.f64 y y) #s(literal 499999999999999963269890588240599461754401607599733943631323209890181152768 binary64)) #s(approx (* x (exp (* y y))) (fma.f64 #s(approx (* (+ (* 1/2 (* (* y y) x)) x) y) (*.f64 y x)) y x)) (*.f64 x #s(approx (exp (* y y)) #s(approx (+ (* y y) 1) (*.f64 y y)))))
(if (<=.f64 (exp.f64 (*.f64 y y)) #s(literal 2 binary64)) (*.f64 x #s(approx (exp (* y y)) #s(literal 1 binary64))) (*.f64 x #s(approx (exp (* y y)) #s(approx (+ (* y y) 1) (*.f64 y y)))))
#s(approx (* x (exp y)) (fma.f64 y x x))
(if (<=.f64 (exp.f64 (*.f64 y y)) #s(literal 2 binary64)) (*.f64 x #s(approx (exp (* y y)) #s(literal 1 binary64))) #s(approx (* x (exp y)) #s(approx (+ (* y x) x) (*.f64 y x))))
#s(approx (* x (exp y)) #s(approx (+ (* y x) x) (*.f64 y x)))
Outputs
(*.f64 x (exp.f64 (*.f64 y y)))
(*.f64 (exp.f64 (*.f64 y y)) x)
(*.f64 x (exp.f64 y))
(*.f64 (exp.f64 y) x)
(*.f64 x #s(approx (exp (* y y)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (exp (* y y)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)) (*.f64 y y) #s(literal 1 binary64))) x)
(*.f64 x #s(approx (exp (* y y)) (fma.f64 #s(approx (+ (* (+ (* (* y y) 1/6) 1/2) (* y y)) 1) (*.f64 (*.f64 (*.f64 (*.f64 y y) y) #s(literal 1/6 binary64)) y)) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (exp (* y y)) (fma.f64 #s(approx (+ (* (+ (* (* y y) 1/6) 1/2) (* y y)) 1) (*.f64 (*.f64 (*.f64 (*.f64 y y) y) #s(literal 1/6 binary64)) y)) (*.f64 y y) #s(literal 1 binary64))) x)
#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 x #s(approx (+ (* (+ (* (* y y) 1/6) 1/2) (* y y)) 1) (*.f64 (*.f64 (*.f64 (*.f64 y y) y) #s(literal 1/6 binary64)) y))) (*.f64 y y) x))
#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 #s(approx (+ (* (+ (* (* y y) 1/6) 1/2) (* y y)) 1) (*.f64 (*.f64 (*.f64 (*.f64 y y) y) #s(literal 1/6 binary64)) y)) x) (*.f64 y y) x))
(*.f64 x #s(approx (exp (* y y)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y y) #s(literal 1 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (exp (* y y)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y y) #s(literal 1 binary64)) (*.f64 y y) #s(literal 1 binary64))) x)
(*.f64 x #s(approx (exp (* y y)) (fma.f64 #s(approx (+ (* 1/2 (* y y)) 1) (*.f64 (*.f64 y y) #s(literal 1/2 binary64))) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (exp (* y y)) (fma.f64 #s(approx (+ (* 1/2 (* y y)) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1 binary64))) x)
(if (<=.f64 (*.f64 y y) #s(literal 1/2 binary64)) #s(approx (* x (exp (* y y))) (fma.f64 #s(approx (* (+ (* 1/2 (* (* y y) x)) x) y) (*.f64 y x)) y x)) (*.f64 x #s(approx (exp (* y y)) #s(approx (+ (* (+ (* 1/2 (* y y)) 1) (* y y)) 1) (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/2 binary64) #s(literal 1 binary64)) y) y)))))
(if (<=.f64 (*.f64 y y) #s(literal 1/2 binary64)) #s(approx (* x (exp (* y y))) (fma.f64 #s(approx (* (+ (* 1/2 (* (* y y) x)) x) y) (*.f64 y x)) y x)) (*.f64 #s(approx (exp (* y y)) #s(approx (+ (* (+ (* 1/2 (* y y)) 1) (* y y)) 1) (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/2 binary64) #s(literal 1 binary64)) y) y))) x))
(if (<=.f64 (*.f64 y y) #s(literal 1/2 binary64)) #s(approx (* x (exp (* y y))) (fma.f64 #s(approx (* (+ (* 1/2 (* (* y y) x)) x) y) (*.f64 y x)) y x)) (*.f64 x #s(approx (exp (* y y)) #s(approx (+ (* (+ (* 1/2 (* y y)) 1) (* y y)) 1) (*.f64 (*.f64 (*.f64 y y) y) (*.f64 #s(literal 1/2 binary64) y))))))
(if (<=.f64 (*.f64 y y) #s(literal 1/2 binary64)) #s(approx (* x (exp (* y y))) (fma.f64 #s(approx (* (+ (* 1/2 (* (* y y) x)) x) y) (*.f64 y x)) y x)) (*.f64 #s(approx (exp (* y y)) #s(approx (+ (* (+ (* 1/2 (* y y)) 1) (* y y)) 1) (*.f64 (*.f64 #s(literal 1/2 binary64) y) (*.f64 (*.f64 y y) y)))) x))
(if (<=.f64 (*.f64 y y) #s(literal 1/2 binary64)) #s(approx (* x (exp (* y y))) (fma.f64 #s(approx (* (+ (* 1/2 (* (* y y) x)) x) y) (*.f64 y x)) y x)) #s(approx (* x (exp (* y y))) #s(approx (+ (* (+ (* 1/2 (* (* y y) x)) x) (* y y)) x) (*.f64 (*.f64 y x) (*.f64 (*.f64 (*.f64 y y) #s(literal 1/2 binary64)) y)))))
(if (<=.f64 (*.f64 y y) #s(literal 1/2 binary64)) #s(approx (* x (exp (* y y))) (fma.f64 #s(approx (* (+ (* 1/2 (* (* y y) x)) x) y) (*.f64 y x)) y x)) #s(approx (* x (exp (* y y))) #s(approx (+ (* (+ (* 1/2 (* (* y y) x)) x) (* y y)) x) (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y y)) y) (*.f64 y x)))))
(*.f64 x #s(approx (exp y) (fma.f64 #s(approx (+ (* (+ (* 1/6 y) 1/2) y) 1) (*.f64 #s(literal 1/6 binary64) (*.f64 y y))) y #s(literal 1 binary64))))
(*.f64 #s(approx (exp y) (fma.f64 #s(approx (+ (* (+ (* 1/6 y) 1/2) y) 1) (*.f64 #s(literal 1/6 binary64) (*.f64 y y))) y #s(literal 1 binary64))) x)
(if (<=.f64 (exp.f64 (*.f64 y y)) #s(literal 2 binary64)) #s(approx (* x (exp (* y y))) (fma.f64 #s(approx (* (+ (* 1/2 (* (* y y) x)) x) y) (*.f64 y x)) y x)) (*.f64 x #s(approx (exp y) #s(approx (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (*.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) (*.f64 y y))))))
(if (<=.f64 (exp.f64 (*.f64 y y)) #s(literal 2 binary64)) #s(approx (* x (exp (* y y))) (fma.f64 #s(approx (* (+ (* 1/2 (* (* y y) x)) x) y) (*.f64 y x)) y x)) (*.f64 #s(approx (exp y) #s(approx (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (*.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) (*.f64 y y)))) x))
(if (<=.f64 (exp.f64 (*.f64 y y)) #s(literal 2 binary64)) #s(approx (* x (exp (* y y))) (fma.f64 #s(approx (* (+ (* 1/2 (* (* y y) x)) x) y) (*.f64 y x)) y x)) (*.f64 x #s(approx (exp y) #s(approx (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (*.f64 (*.f64 (*.f64 y y) y) #s(literal 1/6 binary64))))))
(if (<=.f64 (exp.f64 (*.f64 y y)) #s(literal 2 binary64)) #s(approx (* x (exp (* y y))) (fma.f64 #s(approx (* (+ (* 1/2 (* (* y y) x)) x) y) (*.f64 y x)) y x)) (*.f64 #s(approx (exp y) #s(approx (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (*.f64 (*.f64 (*.f64 y y) y) #s(literal 1/6 binary64)))) x))
(*.f64 x #s(approx (exp (* y y)) (fma.f64 y y #s(literal 1 binary64))))
(*.f64 #s(approx (exp (* y y)) (fma.f64 y y #s(literal 1 binary64))) x)
(if (<=.f64 (*.f64 y y) #s(literal 499999999999999963269890588240599461754401607599733943631323209890181152768 binary64)) #s(approx (* x (exp (* y y))) (fma.f64 #s(approx (* (+ (* 1/2 (* (* y y) x)) x) y) (*.f64 y x)) y x)) (*.f64 x #s(approx (exp (* y y)) #s(approx (+ (* y y) 1) (*.f64 y y)))))
(if (<=.f64 (*.f64 y y) #s(literal 499999999999999963269890588240599461754401607599733943631323209890181152768 binary64)) #s(approx (* x (exp (* y y))) (fma.f64 #s(approx (* (+ (* 1/2 (* (* y y) x)) x) y) (*.f64 y x)) y x)) (*.f64 #s(approx (exp (* y y)) #s(approx (+ (* y y) 1) (*.f64 y y))) x))
(if (<=.f64 (exp.f64 (*.f64 y y)) #s(literal 2 binary64)) (*.f64 x #s(approx (exp (* y y)) #s(literal 1 binary64))) (*.f64 x #s(approx (exp (* y y)) #s(approx (+ (* y y) 1) (*.f64 y y)))))
(if (<=.f64 (exp.f64 (*.f64 y y)) #s(literal 2 binary64)) (*.f64 #s(approx (exp (* y y)) #s(literal 1 binary64)) x) (*.f64 #s(approx (exp (* y y)) #s(approx (+ (* y y) 1) (*.f64 y y))) x))
#s(approx (* x (exp y)) (fma.f64 y x x))
(if (<=.f64 (exp.f64 (*.f64 y y)) #s(literal 2 binary64)) (*.f64 x #s(approx (exp (* y y)) #s(literal 1 binary64))) #s(approx (* x (exp y)) #s(approx (+ (* y x) x) (*.f64 y x))))
(if (<=.f64 (exp.f64 (*.f64 y y)) #s(literal 2 binary64)) (*.f64 #s(approx (exp (* y y)) #s(literal 1 binary64)) x) #s(approx (* x (exp y)) #s(approx (+ (* y x) x) (*.f64 y x))))
#s(approx (* x (exp y)) #s(approx (+ (* y x) x) (*.f64 y x)))

soundness2.6s (9.5%)

Memory
16.7MiB live, 1 272.2MiB allocated
Rules
22 552×lower-fma.f64
22 552×lower-fma.f32
21 132×lower-fma.f64
21 132×lower-fma.f32
17 148×lower-fma.f64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
033272
195272
2276266
3750264
4989264
51161264
61318264
71436264
81436262
91767262
101800262
111801262
121823262
01823250
02024104
16914016
221073778
349953776
081293454
034275
059275
1223275
21575275
08178272
0513
0813
11313
22613
36913
42945
026665
01693146
15593146
215772992
336992978
472972978
081912701
0931914
12891914
27221832
319561828
447681828
081331682
Stop Event
fuel
iter limit
node limit
iter limit
node limit
iter limit
iter limit
iter limit
unsound
iter limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
saturated
Compiler

Compiled 825 to 358 computations (56.6% saved)

preprocess331.0ms (1.2%)

Memory
-2.6MiB live, 363.9MiB allocated
Remove

(negabs x)

(abs y)

Compiler

Compiled 980 to 346 computations (64.7% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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