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

Time bar (total: 27.3s)

start0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

Memory
0.1MiB live, 0.1MiB 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)

sample465.0ms (1.7%)

Memory
181.2MiB live, 181.2MiB allocated
Samples
289.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 158.0ms
ival-mult: 96.0ms (60.9% of total)
ival-exp: 53.0ms (33.6% of total)
ival-true: 5.0ms (3.2% of total)
ival-assert: 3.0ms (1.9% of total)
Bogosity

explain60.0ms (0.2%)

Memory
30.0MiB live, 30.0MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
10-0-(exp.f64 (*.f64 (*.f64 x y) y))
00-0-y
00-0-(*.f64 (*.f64 x y) y)
00-0-(*.f64 x y)
00-0-x
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
exp.f64(exp.f64 (*.f64 (*.f64 x y) y))sensitivity10
Confusion
Predicted +Predicted -
+10
-0255
Precision
1.0
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+100
-00255
Precision?
1.0
Recall?
1.0
Freqs
test
numberfreq
0255
11
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
21.0ms512×0valid
Compiler

Compiled 90 to 34 computations (62.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 10.0ms
ival-mult: 6.0ms (59.6% of total)
ival-exp: 3.0ms (29.8% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess21.0ms (0.1%)

Memory
5.9MiB live, 5.9MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01538
14934
212434
330034
450234
564834
671834
772934
056
086
1146
2216
3236
4246
0246
Stop Event
iter limit
saturated
iter limit
saturated
Calls
Call 1
Inputs
(exp.f64 (*.f64 (*.f64 x y) y))
Outputs
(exp.f64 (*.f64 (*.f64 x y) y))
(pow.f64 (pow.f64 (exp.f64 y) y) x)
Symmetry

(abs y)

Compiler

Compiled 6 to 5 computations (16.7% saved)

eval0.0ms (0%)

Memory
0.2MiB live, 0.2MiB allocated
Compiler

Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(exp.f64 (*.f64 (*.f64 x y) y))
Compiler

Compiled 6 to 5 computations (16.7% saved)

simplify3.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated
Algorithm
egg-herbie
Localize:

Found 3 expressions of interest:

NewMetricScoreProgram
cost-diff-12288
(exp.f64 (*.f64 (*.f64 x y) y))
cost-diff0
(*.f64 x y)
cost-diff0
(*.f64 (*.f64 x y) y)
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0516
0816
11416
22116
32316
42416
02416
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(exp.f64 (*.f64 (*.f64 x y) y))
(*.f64 (*.f64 x y) y)
(*.f64 x y)
x
y
Outputs
(exp.f64 (*.f64 (*.f64 x y) y))
(pow.f64 (pow.f64 (exp.f64 y) y) x)
(*.f64 (*.f64 x y) y)
(*.f64 (*.f64 y x) y)
(*.f64 x y)
(*.f64 y x)
x
y

localize14.0ms (0.1%)

Memory
6.5MiB live, 6.5MiB allocated
Localize:

Found 3 expressions of interest:

NewMetricScoreProgram
accuracy0
(*.f64 x y)
accuracy0.022267342648988643
(exp.f64 (*.f64 (*.f64 x y) y))
accuracy0.11328125
(*.f64 (*.f64 x y) y)
Samples
10.0ms256×0valid
Compiler

Compiled 34 to 12 computations (64.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 5.0ms
ival-mult: 3.0ms (62.4% of total)
ival-exp: 2.0ms (41.6% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series6.0ms (0%)

Memory
3.2MiB live, 3.2MiB allocated
Counts
3 → 72
Calls
Call 1
Inputs
#s(alt (*.f64 (*.f64 x y) y) (patch (*.f64 (*.f64 x y) y) #<representation binary64>) () ())
#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())
#s(alt (exp.f64 (*.f64 (*.f64 x y) y)) (patch (exp.f64 (*.f64 (*.f64 x y) y)) #<representation binary64>) () ())
Outputs
#s(alt (* x (pow y 2)) (taylor 0 y) (#s(alt (*.f64 (*.f64 x y) y) (patch (*.f64 (*.f64 x y) y) #<representation binary64>) () ())) ())
#s(alt (* x (pow y 2)) (taylor 0 y) (#s(alt (*.f64 (*.f64 x y) y) (patch (*.f64 (*.f64 x y) y) #<representation binary64>) () ())) ())
#s(alt (* x (pow y 2)) (taylor 0 y) (#s(alt (*.f64 (*.f64 x y) y) (patch (*.f64 (*.f64 x y) y) #<representation binary64>) () ())) ())
#s(alt (* x (pow y 2)) (taylor 0 y) (#s(alt (*.f64 (*.f64 x y) y) (patch (*.f64 (*.f64 x y) y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 y) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 y) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 y) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 y) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 y) (#s(alt (exp.f64 (*.f64 (*.f64 x y) y)) (patch (exp.f64 (*.f64 (*.f64 x y) y)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* x (pow y 2))) (taylor 0 y) (#s(alt (exp.f64 (*.f64 (*.f64 x y) y)) (patch (exp.f64 (*.f64 (*.f64 x y) y)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* (pow y 2) (+ x (* 1/2 (* (pow x 2) (pow y 2)))))) (taylor 0 y) (#s(alt (exp.f64 (*.f64 (*.f64 x y) y)) (patch (exp.f64 (*.f64 (*.f64 x y) y)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* (pow y 2) (+ x (* (pow y 2) (+ (* 1/6 (* (pow x 3) (pow y 2))) (* 1/2 (pow x 2))))))) (taylor 0 y) (#s(alt (exp.f64 (*.f64 (*.f64 x y) y)) (patch (exp.f64 (*.f64 (*.f64 x y) y)) #<representation binary64>) () ())) ())
#s(alt (* x (pow y 2)) (taylor inf y) (#s(alt (*.f64 (*.f64 x y) y) (patch (*.f64 (*.f64 x y) y) #<representation binary64>) () ())) ())
#s(alt (* x (pow y 2)) (taylor inf y) (#s(alt (*.f64 (*.f64 x y) y) (patch (*.f64 (*.f64 x y) y) #<representation binary64>) () ())) ())
#s(alt (* x (pow y 2)) (taylor inf y) (#s(alt (*.f64 (*.f64 x y) y) (patch (*.f64 (*.f64 x y) y) #<representation binary64>) () ())) ())
#s(alt (* x (pow y 2)) (taylor inf y) (#s(alt (*.f64 (*.f64 x y) y) (patch (*.f64 (*.f64 x y) y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor inf y) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor inf y) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor inf y) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor inf y) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ())
#s(alt (exp (* x (pow y 2))) (taylor inf y) (#s(alt (exp.f64 (*.f64 (*.f64 x y) y)) (patch (exp.f64 (*.f64 (*.f64 x y) y)) #<representation binary64>) () ())) ())
#s(alt (exp (* x (pow y 2))) (taylor inf y) (#s(alt (exp.f64 (*.f64 (*.f64 x y) y)) (patch (exp.f64 (*.f64 (*.f64 x y) y)) #<representation binary64>) () ())) ())
#s(alt (exp (* x (pow y 2))) (taylor inf y) (#s(alt (exp.f64 (*.f64 (*.f64 x y) y)) (patch (exp.f64 (*.f64 (*.f64 x y) y)) #<representation binary64>) () ())) ())
#s(alt (exp (* x (pow y 2))) (taylor inf y) (#s(alt (exp.f64 (*.f64 (*.f64 x y) y)) (patch (exp.f64 (*.f64 (*.f64 x y) y)) #<representation binary64>) () ())) ())
#s(alt (* x (pow y 2)) (taylor -inf y) (#s(alt (*.f64 (*.f64 x y) y) (patch (*.f64 (*.f64 x y) y) #<representation binary64>) () ())) ())
#s(alt (* x (pow y 2)) (taylor -inf y) (#s(alt (*.f64 (*.f64 x y) y) (patch (*.f64 (*.f64 x y) y) #<representation binary64>) () ())) ())
#s(alt (* x (pow y 2)) (taylor -inf y) (#s(alt (*.f64 (*.f64 x y) y) (patch (*.f64 (*.f64 x y) y) #<representation binary64>) () ())) ())
#s(alt (* x (pow y 2)) (taylor -inf y) (#s(alt (*.f64 (*.f64 x y) y) (patch (*.f64 (*.f64 x y) y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf y) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf y) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf y) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf y) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ())
#s(alt (exp (* x (pow y 2))) (taylor -inf y) (#s(alt (exp.f64 (*.f64 (*.f64 x y) y)) (patch (exp.f64 (*.f64 (*.f64 x y) y)) #<representation binary64>) () ())) ())
#s(alt (exp (* x (pow y 2))) (taylor -inf y) (#s(alt (exp.f64 (*.f64 (*.f64 x y) y)) (patch (exp.f64 (*.f64 (*.f64 x y) y)) #<representation binary64>) () ())) ())
#s(alt (exp (* x (pow y 2))) (taylor -inf y) (#s(alt (exp.f64 (*.f64 (*.f64 x y) y)) (patch (exp.f64 (*.f64 (*.f64 x y) y)) #<representation binary64>) () ())) ())
#s(alt (exp (* x (pow y 2))) (taylor -inf y) (#s(alt (exp.f64 (*.f64 (*.f64 x y) y)) (patch (exp.f64 (*.f64 (*.f64 x y) y)) #<representation binary64>) () ())) ())
#s(alt (* x (pow y 2)) (taylor 0 x) (#s(alt (*.f64 (*.f64 x y) y) (patch (*.f64 (*.f64 x y) y) #<representation binary64>) () ())) ())
#s(alt (* x (pow y 2)) (taylor 0 x) (#s(alt (*.f64 (*.f64 x y) y) (patch (*.f64 (*.f64 x y) y) #<representation binary64>) () ())) ())
#s(alt (* x (pow y 2)) (taylor 0 x) (#s(alt (*.f64 (*.f64 x y) y) (patch (*.f64 (*.f64 x y) y) #<representation binary64>) () ())) ())
#s(alt (* x (pow y 2)) (taylor 0 x) (#s(alt (*.f64 (*.f64 x y) y) (patch (*.f64 (*.f64 x y) y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 x) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 x) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 x) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 x) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 x) (#s(alt (exp.f64 (*.f64 (*.f64 x y) y)) (patch (exp.f64 (*.f64 (*.f64 x y) y)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* x (pow y 2))) (taylor 0 x) (#s(alt (exp.f64 (*.f64 (*.f64 x y) y)) (patch (exp.f64 (*.f64 (*.f64 x y) y)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* x (+ (* 1/2 (* x (pow y 4))) (pow y 2)))) (taylor 0 x) (#s(alt (exp.f64 (*.f64 (*.f64 x y) y)) (patch (exp.f64 (*.f64 (*.f64 x y) y)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* x (+ (* x (+ (* 1/6 (* x (pow y 6))) (* 1/2 (pow y 4)))) (pow y 2)))) (taylor 0 x) (#s(alt (exp.f64 (*.f64 (*.f64 x y) y)) (patch (exp.f64 (*.f64 (*.f64 x y) y)) #<representation binary64>) () ())) ())
#s(alt (* x (pow y 2)) (taylor inf x) (#s(alt (*.f64 (*.f64 x y) y) (patch (*.f64 (*.f64 x y) y) #<representation binary64>) () ())) ())
#s(alt (* x (pow y 2)) (taylor inf x) (#s(alt (*.f64 (*.f64 x y) y) (patch (*.f64 (*.f64 x y) y) #<representation binary64>) () ())) ())
#s(alt (* x (pow y 2)) (taylor inf x) (#s(alt (*.f64 (*.f64 x y) y) (patch (*.f64 (*.f64 x y) y) #<representation binary64>) () ())) ())
#s(alt (* x (pow y 2)) (taylor inf x) (#s(alt (*.f64 (*.f64 x y) y) (patch (*.f64 (*.f64 x y) y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor inf x) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor inf x) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor inf x) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor inf x) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ())
#s(alt (exp (* x (pow y 2))) (taylor inf x) (#s(alt (exp.f64 (*.f64 (*.f64 x y) y)) (patch (exp.f64 (*.f64 (*.f64 x y) y)) #<representation binary64>) () ())) ())
#s(alt (exp (* x (pow y 2))) (taylor inf x) (#s(alt (exp.f64 (*.f64 (*.f64 x y) y)) (patch (exp.f64 (*.f64 (*.f64 x y) y)) #<representation binary64>) () ())) ())
#s(alt (exp (* x (pow y 2))) (taylor inf x) (#s(alt (exp.f64 (*.f64 (*.f64 x y) y)) (patch (exp.f64 (*.f64 (*.f64 x y) y)) #<representation binary64>) () ())) ())
#s(alt (exp (* x (pow y 2))) (taylor inf x) (#s(alt (exp.f64 (*.f64 (*.f64 x y) y)) (patch (exp.f64 (*.f64 (*.f64 x y) y)) #<representation binary64>) () ())) ())
#s(alt (* x (pow y 2)) (taylor -inf x) (#s(alt (*.f64 (*.f64 x y) y) (patch (*.f64 (*.f64 x y) y) #<representation binary64>) () ())) ())
#s(alt (* x (pow y 2)) (taylor -inf x) (#s(alt (*.f64 (*.f64 x y) y) (patch (*.f64 (*.f64 x y) y) #<representation binary64>) () ())) ())
#s(alt (* x (pow y 2)) (taylor -inf x) (#s(alt (*.f64 (*.f64 x y) y) (patch (*.f64 (*.f64 x y) y) #<representation binary64>) () ())) ())
#s(alt (* x (pow y 2)) (taylor -inf x) (#s(alt (*.f64 (*.f64 x y) y) (patch (*.f64 (*.f64 x y) y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf x) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf x) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf x) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf x) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ())
#s(alt (exp (* x (pow y 2))) (taylor -inf x) (#s(alt (exp.f64 (*.f64 (*.f64 x y) y)) (patch (exp.f64 (*.f64 (*.f64 x y) y)) #<representation binary64>) () ())) ())
#s(alt (exp (* x (pow y 2))) (taylor -inf x) (#s(alt (exp.f64 (*.f64 (*.f64 x y) y)) (patch (exp.f64 (*.f64 (*.f64 x y) y)) #<representation binary64>) () ())) ())
#s(alt (exp (* x (pow y 2))) (taylor -inf x) (#s(alt (exp.f64 (*.f64 (*.f64 x y) y)) (patch (exp.f64 (*.f64 (*.f64 x y) y)) #<representation binary64>) () ())) ())
#s(alt (exp (* x (pow y 2))) (taylor -inf x) (#s(alt (exp.f64 (*.f64 (*.f64 x y) y)) (patch (exp.f64 (*.f64 (*.f64 x y) y)) #<representation binary64>) () ())) ())
Calls

6 calls:

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

simplify132.0ms (0.5%)

Memory
11.5MiB live, 11.5MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
044392
1120392
2328388
3803384
41106380
51234380
61314380
71337380
81351380
92752380
103337380
114128380
125124380
135145380
145145380
155378380
165378380
175378380
185378380
196827380
206827380
06827368
Stop Event
iter limit
saturated
Counts
72 → 72
Calls
Call 1
Inputs
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x y)
(* x y)
(* x y)
(* x y)
1
(+ 1 (* x (pow y 2)))
(+ 1 (* (pow y 2) (+ x (* 1/2 (* (pow x 2) (pow y 2))))))
(+ 1 (* (pow y 2) (+ x (* (pow y 2) (+ (* 1/6 (* (pow x 3) (pow y 2))) (* 1/2 (pow x 2)))))))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x y)
(* x y)
(* x y)
(* x y)
(exp (* x (pow y 2)))
(exp (* x (pow y 2)))
(exp (* x (pow y 2)))
(exp (* x (pow y 2)))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x y)
(* x y)
(* x y)
(* x y)
(exp (* x (pow y 2)))
(exp (* x (pow y 2)))
(exp (* x (pow y 2)))
(exp (* x (pow y 2)))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x y)
(* x y)
(* x y)
(* x y)
1
(+ 1 (* x (pow y 2)))
(+ 1 (* x (+ (* 1/2 (* x (pow y 4))) (pow y 2))))
(+ 1 (* x (+ (* x (+ (* 1/6 (* x (pow y 6))) (* 1/2 (pow y 4)))) (pow y 2))))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x y)
(* x y)
(* x y)
(* x y)
(exp (* x (pow y 2)))
(exp (* x (pow y 2)))
(exp (* x (pow y 2)))
(exp (* x (pow y 2)))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x y)
(* x y)
(* x y)
(* x y)
(exp (* x (pow y 2)))
(exp (* x (pow y 2)))
(exp (* x (pow y 2)))
(exp (* x (pow y 2)))
Outputs
(* 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 y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
1
#s(literal 1 binary64)
(+ 1 (* x (pow y 2)))
(fma.f64 (*.f64 y x) y #s(literal 1 binary64))
(+ 1 (* (pow y 2) (+ x (* 1/2 (* (pow x 2) (pow y 2))))))
(fma.f64 (fma.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) x) #s(literal 1/2 binary64) y) (*.f64 y x) #s(literal 1 binary64))
(+ 1 (* (pow y 2) (+ x (* (pow y 2) (+ (* 1/6 (* (pow x 3) (pow y 2))) (* 1/2 (pow x 2)))))))
(fma.f64 (fma.f64 (fma.f64 (*.f64 (pow.f64 y #s(literal 5 binary64)) x) #s(literal 1/6 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1/2 binary64))) x y) (*.f64 y x) #s(literal 1 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 y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(exp (* x (pow y 2)))
(pow.f64 (pow.f64 (exp.f64 y) x) y)
(exp (* x (pow y 2)))
(pow.f64 (pow.f64 (exp.f64 y) x) y)
(exp (* x (pow y 2)))
(pow.f64 (pow.f64 (exp.f64 y) x) y)
(exp (* x (pow y 2)))
(pow.f64 (pow.f64 (exp.f64 y) x) y)
(* 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 y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(exp (* x (pow y 2)))
(pow.f64 (pow.f64 (exp.f64 y) x) y)
(exp (* x (pow y 2)))
(pow.f64 (pow.f64 (exp.f64 y) x) y)
(exp (* x (pow y 2)))
(pow.f64 (pow.f64 (exp.f64 y) x) y)
(exp (* x (pow y 2)))
(pow.f64 (pow.f64 (exp.f64 y) x) y)
(* 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 y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
1
#s(literal 1 binary64)
(+ 1 (* x (pow y 2)))
(fma.f64 (*.f64 y x) y #s(literal 1 binary64))
(+ 1 (* x (+ (* 1/2 (* x (pow y 4))) (pow y 2))))
(fma.f64 (fma.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) x) #s(literal 1/2 binary64) y) (*.f64 y x) #s(literal 1 binary64))
(+ 1 (* x (+ (* x (+ (* 1/6 (* x (pow y 6))) (* 1/2 (pow y 4)))) (pow y 2))))
(fma.f64 (fma.f64 (fma.f64 (*.f64 (pow.f64 y #s(literal 5 binary64)) x) #s(literal 1/6 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1/2 binary64))) x y) (*.f64 y x) #s(literal 1 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 y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(exp (* x (pow y 2)))
(pow.f64 (pow.f64 (exp.f64 y) x) y)
(exp (* x (pow y 2)))
(pow.f64 (pow.f64 (exp.f64 y) x) y)
(exp (* x (pow y 2)))
(pow.f64 (pow.f64 (exp.f64 y) x) y)
(exp (* x (pow y 2)))
(pow.f64 (pow.f64 (exp.f64 y) x) y)
(* 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 y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(exp (* x (pow y 2)))
(pow.f64 (pow.f64 (exp.f64 y) x) y)
(exp (* x (pow y 2)))
(pow.f64 (pow.f64 (exp.f64 y) x) y)
(exp (* x (pow y 2)))
(pow.f64 (pow.f64 (exp.f64 y) x) y)
(exp (* x (pow y 2)))
(pow.f64 (pow.f64 (exp.f64 y) x) y)

rewrite30.0ms (0.1%)

Memory
6.0MiB live, 6.0MiB allocated
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
0514
0812
11412
22912
39212
44823
539143
090723
Stop Event
iter limit
node limit
iter limit
Counts
3 → 7
Calls
Call 1
Inputs
(*.f64 (*.f64 x y) y)
(*.f64 x y)
(exp.f64 (*.f64 (*.f64 x y) y))
Outputs
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>

eval6.0ms (0%)

Memory
6.0MiB live, 6.0MiB allocated
Compiler

Compiled 555 to 42 computations (92.4% saved)

prune5.0ms (0%)

Memory
7.5MiB live, 7.5MiB allocated
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New74579
Fresh000
Picked011
Done000
Total74680
Accuracy
100.0%
Counts
80 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(exp.f64 (*.f64 (*.f64 x y) y))
87.6%
(exp.f64 (*.f64 x y))
68.2%
(exp.f64 y)
60.7%
(exp.f64 x)
65.0%
#s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 y x) y #s(literal 1 binary64)))
49.6%
#s(approx (exp (* (* x y) y)) #s(literal 1 binary64))
Compiler

Compiled 40 to 45 computations (-12.5% saved)

simplify3.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated
Algorithm
egg-herbie
Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
cost-diff0
(exp.f64 y)
cost-diff0
(exp.f64 x)
cost-diff0
(*.f64 y x)
cost-diff0
(fma.f64 (*.f64 y x) y #s(literal 1 binary64))
cost-diff0
#s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 y x) y #s(literal 1 binary64)))
cost-diff0
#s(approx (exp (* (* x y) y)) #s(literal 1 binary64))
cost-diff-6144
(exp.f64 (*.f64 x y))
cost-diff0
(*.f64 x y)
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01449
02149
13149
23549
33749
43849
03849
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(exp.f64 (*.f64 x y))
(*.f64 x y)
x
y
#s(approx (exp (* (* x y) y)) #s(literal 1 binary64))
#s(literal 1 binary64)
#s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 y x) y #s(literal 1 binary64)))
(fma.f64 (*.f64 y x) y #s(literal 1 binary64))
(*.f64 y x)
y
x
#s(literal 1 binary64)
(exp.f64 x)
x
(exp.f64 y)
y
Outputs
(exp.f64 (*.f64 x y))
(pow.f64 (exp.f64 y) x)
(*.f64 x y)
(*.f64 y x)
x
y
#s(approx (exp (* (* x y) y)) #s(literal 1 binary64))
#s(literal 1 binary64)
#s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 y x) y #s(literal 1 binary64)))
(fma.f64 (*.f64 y x) y #s(literal 1 binary64))
(*.f64 y x)
y
x
#s(literal 1 binary64)
(exp.f64 x)
x
(exp.f64 y)
y

localize29.0ms (0.1%)

Memory
13.5MiB live, 13.5MiB allocated
Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
accuracy0
(exp.f64 y)
accuracy0
(exp.f64 x)
accuracy0
(*.f64 y x)
accuracy0.07421875
(fma.f64 (*.f64 y x) y #s(literal 1 binary64))
accuracy22.421394650080305
#s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 y x) y #s(literal 1 binary64)))
accuracy32.262010187436445
#s(approx (exp (* (* x y) y)) #s(literal 1 binary64))
accuracy0
(*.f64 x y)
accuracy0
(exp.f64 (*.f64 x y))
Samples
21.0ms256×0valid
Compiler

Compiled 80 to 25 computations (68.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 13.0ms
ival-exp: 6.0ms (46.3% of total)
ival-mult: 6.0ms (46.3% of total)
ival-add: 1.0ms (7.7% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series6.0ms (0%)

Memory
3.7MiB live, 3.7MiB allocated
Counts
8 → 168
Calls
Call 1
Inputs
#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())
#s(alt (exp.f64 (*.f64 x y)) (patch (exp.f64 (*.f64 x y)) #<representation binary64>) () ())
#s(alt #s(approx (exp (* (* x y) y)) #s(literal 1 binary64)) (patch #s(approx (exp (* (* x y) y)) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 y x) y #s(literal 1 binary64))) (patch #s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 y x) y #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 (*.f64 y x) y #s(literal 1 binary64)) (patch (fma.f64 (*.f64 y x) y #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())
#s(alt (exp.f64 x) (patch (exp.f64 x) #<representation binary64>) () ())
#s(alt (exp.f64 y) (patch (exp.f64 y) #<representation binary64>) () ())
Outputs
#s(alt (* x y) (taylor 0 y) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 y) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 y) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 y) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 y) (#s(alt (exp.f64 (*.f64 x y)) (patch (exp.f64 (*.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* x y)) (taylor 0 y) (#s(alt (exp.f64 (*.f64 x y)) (patch (exp.f64 (*.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* y (+ x (* 1/2 (* (pow x 2) y))))) (taylor 0 y) (#s(alt (exp.f64 (*.f64 x y)) (patch (exp.f64 (*.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* y (+ x (* y (+ (* 1/6 (* (pow x 3) y)) (* 1/2 (pow x 2))))))) (taylor 0 y) (#s(alt (exp.f64 (*.f64 x y)) (patch (exp.f64 (*.f64 x y)) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 y) (#s(alt #s(approx (exp (* (* x y) y)) #s(literal 1 binary64)) (patch #s(approx (exp (* (* x y) y)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* x (pow y 2))) (taylor 0 y) (#s(alt #s(approx (exp (* (* x y) y)) #s(literal 1 binary64)) (patch #s(approx (exp (* (* x y) y)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* (pow y 2) (+ x (* 1/2 (* (pow x 2) (pow y 2)))))) (taylor 0 y) (#s(alt #s(approx (exp (* (* x y) y)) #s(literal 1 binary64)) (patch #s(approx (exp (* (* x y) y)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* (pow y 2) (+ x (* (pow y 2) (+ (* 1/6 (* (pow x 3) (pow y 2))) (* 1/2 (pow x 2))))))) (taylor 0 y) (#s(alt #s(approx (exp (* (* x y) y)) #s(literal 1 binary64)) (patch #s(approx (exp (* (* x y) y)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 y) (#s(alt #s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 y x) y #s(literal 1 binary64))) (patch #s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 y x) y #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* x (pow y 2))) (taylor 0 y) (#s(alt #s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 y x) y #s(literal 1 binary64))) (patch #s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 y x) y #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* (pow y 2) (+ x (* 1/2 (* (pow x 2) (pow y 2)))))) (taylor 0 y) (#s(alt #s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 y x) y #s(literal 1 binary64))) (patch #s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 y x) y #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* (pow y 2) (+ x (* (pow y 2) (+ (* 1/6 (* (pow x 3) (pow y 2))) (* 1/2 (pow x 2))))))) (taylor 0 y) (#s(alt #s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 y x) y #s(literal 1 binary64))) (patch #s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 y x) y #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 y) (#s(alt (fma.f64 (*.f64 y x) y #s(literal 1 binary64)) (patch (fma.f64 (*.f64 y x) y #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* x (pow y 2))) (taylor 0 y) (#s(alt (fma.f64 (*.f64 y x) y #s(literal 1 binary64)) (patch (fma.f64 (*.f64 y x) y #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* x (pow y 2))) (taylor 0 y) (#s(alt (fma.f64 (*.f64 y x) y #s(literal 1 binary64)) (patch (fma.f64 (*.f64 y x) y #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* x (pow y 2))) (taylor 0 y) (#s(alt (fma.f64 (*.f64 y x) y #s(literal 1 binary64)) (patch (fma.f64 (*.f64 y x) y #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 y) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 y) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 y) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 y) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())) ())
#s(alt 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 (* x y) (taylor inf y) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor inf y) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor inf y) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor inf y) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ())
#s(alt (exp (* x y)) (taylor inf y) (#s(alt (exp.f64 (*.f64 x y)) (patch (exp.f64 (*.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (exp (* x y)) (taylor inf y) (#s(alt (exp.f64 (*.f64 x y)) (patch (exp.f64 (*.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (exp (* x y)) (taylor inf y) (#s(alt (exp.f64 (*.f64 x y)) (patch (exp.f64 (*.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (exp (* x y)) (taylor inf y) (#s(alt (exp.f64 (*.f64 x y)) (patch (exp.f64 (*.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (exp (* x (pow y 2))) (taylor inf y) (#s(alt #s(approx (exp (* (* x y) y)) #s(literal 1 binary64)) (patch #s(approx (exp (* (* x y) y)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (exp (* x (pow y 2))) (taylor inf y) (#s(alt #s(approx (exp (* (* x y) y)) #s(literal 1 binary64)) (patch #s(approx (exp (* (* x y) y)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (exp (* x (pow y 2))) (taylor inf y) (#s(alt #s(approx (exp (* (* x y) y)) #s(literal 1 binary64)) (patch #s(approx (exp (* (* x y) y)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (exp (* x (pow y 2))) (taylor inf y) (#s(alt #s(approx (exp (* (* x y) y)) #s(literal 1 binary64)) (patch #s(approx (exp (* (* x y) y)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (exp (* x (pow y 2))) (taylor inf y) (#s(alt #s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 y x) y #s(literal 1 binary64))) (patch #s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 y x) y #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (exp (* x (pow y 2))) (taylor inf y) (#s(alt #s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 y x) y #s(literal 1 binary64))) (patch #s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 y x) y #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (exp (* x (pow y 2))) (taylor inf y) (#s(alt #s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 y x) y #s(literal 1 binary64))) (patch #s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 y x) y #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (exp (* x (pow y 2))) (taylor inf y) (#s(alt #s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 y x) y #s(literal 1 binary64))) (patch #s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 y x) y #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (pow y 2)) (taylor inf y) (#s(alt (fma.f64 (*.f64 y x) y #s(literal 1 binary64)) (patch (fma.f64 (*.f64 y x) y #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (+ x (/ 1 (pow y 2)))) (taylor inf y) (#s(alt (fma.f64 (*.f64 y x) y #s(literal 1 binary64)) (patch (fma.f64 (*.f64 y x) y #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (+ x (/ 1 (pow y 2)))) (taylor inf y) (#s(alt (fma.f64 (*.f64 y x) y #s(literal 1 binary64)) (patch (fma.f64 (*.f64 y x) y #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (+ x (/ 1 (pow y 2)))) (taylor inf y) (#s(alt (fma.f64 (*.f64 y x) y #s(literal 1 binary64)) (patch (fma.f64 (*.f64 y x) y #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor inf y) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor inf y) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor inf y) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor inf y) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())) ())
#s(alt (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 y) (taylor -inf y) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf y) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf y) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf y) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ())
#s(alt (exp (* x y)) (taylor -inf y) (#s(alt (exp.f64 (*.f64 x y)) (patch (exp.f64 (*.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (exp (* x y)) (taylor -inf y) (#s(alt (exp.f64 (*.f64 x y)) (patch (exp.f64 (*.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (exp (* x y)) (taylor -inf y) (#s(alt (exp.f64 (*.f64 x y)) (patch (exp.f64 (*.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (exp (* x y)) (taylor -inf y) (#s(alt (exp.f64 (*.f64 x y)) (patch (exp.f64 (*.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (exp (* x (pow y 2))) (taylor -inf y) (#s(alt #s(approx (exp (* (* x y) y)) #s(literal 1 binary64)) (patch #s(approx (exp (* (* x y) y)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (exp (* x (pow y 2))) (taylor -inf y) (#s(alt #s(approx (exp (* (* x y) y)) #s(literal 1 binary64)) (patch #s(approx (exp (* (* x y) y)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (exp (* x (pow y 2))) (taylor -inf y) (#s(alt #s(approx (exp (* (* x y) y)) #s(literal 1 binary64)) (patch #s(approx (exp (* (* x y) y)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (exp (* x (pow y 2))) (taylor -inf y) (#s(alt #s(approx (exp (* (* x y) y)) #s(literal 1 binary64)) (patch #s(approx (exp (* (* x y) y)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
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#s(alt (exp x) (taylor inf x) (#s(alt (exp.f64 x) (patch (exp.f64 x) #<representation binary64>) () ())) ())
#s(alt (exp x) (taylor inf x) (#s(alt (exp.f64 x) (patch (exp.f64 x) #<representation binary64>) () ())) ())
#s(alt (exp x) (taylor inf x) (#s(alt (exp.f64 x) (patch (exp.f64 x) #<representation binary64>) () ())) ())
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#s(alt (exp x) (taylor -inf x) (#s(alt (exp.f64 x) (patch (exp.f64 x) #<representation binary64>) () ())) ())
#s(alt (exp x) (taylor -inf x) (#s(alt (exp.f64 x) (patch (exp.f64 x) #<representation binary64>) () ())) ())
Calls

6 calls:

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

simplify142.0ms (0.5%)

Memory
45.1MiB live, 45.1MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0106920
1318920
2797908
31922900
43022892
55032892
08248828
Stop Event
iter limit
node limit
Counts
168 → 168
Calls
Call 1
Inputs
(* x y)
(* x y)
(* x y)
(* x y)
1
(+ 1 (* x y))
(+ 1 (* y (+ x (* 1/2 (* (pow x 2) y)))))
(+ 1 (* y (+ x (* y (+ (* 1/6 (* (pow x 3) y)) (* 1/2 (pow x 2)))))))
1
(+ 1 (* x (pow y 2)))
(+ 1 (* (pow y 2) (+ x (* 1/2 (* (pow x 2) (pow y 2))))))
(+ 1 (* (pow y 2) (+ x (* (pow y 2) (+ (* 1/6 (* (pow x 3) (pow y 2))) (* 1/2 (pow x 2)))))))
1
(+ 1 (* x (pow y 2)))
(+ 1 (* (pow y 2) (+ x (* 1/2 (* (pow x 2) (pow y 2))))))
(+ 1 (* (pow y 2) (+ x (* (pow y 2) (+ (* 1/6 (* (pow x 3) (pow y 2))) (* 1/2 (pow x 2)))))))
1
(+ 1 (* x (pow y 2)))
(+ 1 (* x (pow y 2)))
(+ 1 (* x (pow y 2)))
(* x y)
(* x y)
(* x y)
(* x y)
1
(+ 1 y)
(+ 1 (* y (+ 1 (* 1/2 y))))
(+ 1 (* y (+ 1 (* y (+ 1/2 (* 1/6 y))))))
(* x y)
(* x y)
(* x y)
(* x y)
(exp (* x y))
(exp (* x y))
(exp (* x y))
(exp (* x y))
(exp (* x (pow y 2)))
(exp (* x (pow y 2)))
(exp (* x (pow y 2)))
(exp (* x (pow y 2)))
(exp (* x (pow y 2)))
(exp (* x (pow y 2)))
(exp (* x (pow y 2)))
(exp (* x (pow y 2)))
(* x (pow y 2))
(* (pow y 2) (+ x (/ 1 (pow y 2))))
(* (pow y 2) (+ x (/ 1 (pow y 2))))
(* (pow y 2) (+ x (/ 1 (pow y 2))))
(* x y)
(* x y)
(* x y)
(* x y)
(exp y)
(exp y)
(exp y)
(exp y)
(* x y)
(* x y)
(* x y)
(* x y)
(exp (* x y))
(exp (* x y))
(exp (* x y))
(exp (* x y))
(exp (* x (pow y 2)))
(exp (* x (pow y 2)))
(exp (* x (pow y 2)))
(exp (* x (pow y 2)))
(exp (* x (pow y 2)))
(exp (* x (pow y 2)))
(exp (* x (pow y 2)))
(exp (* x (pow y 2)))
(* x (pow y 2))
(* (pow y 2) (+ x (/ 1 (pow y 2))))
(* (pow y 2) (+ x (/ 1 (pow y 2))))
(* (pow y 2) (+ x (/ 1 (pow y 2))))
(* x y)
(* x y)
(* x y)
(* x y)
(exp y)
(exp y)
(exp y)
(exp y)
(* x y)
(* x y)
(* x y)
(* x y)
1
(+ 1 (* x y))
(+ 1 (* x (+ y (* 1/2 (* x (pow y 2))))))
(+ 1 (* x (+ y (* x (+ (* 1/6 (* x (pow y 3))) (* 1/2 (pow y 2)))))))
1
(+ 1 (* x (pow y 2)))
(+ 1 (* x (+ (* 1/2 (* x (pow y 4))) (pow y 2))))
(+ 1 (* x (+ (* x (+ (* 1/6 (* x (pow y 6))) (* 1/2 (pow y 4)))) (pow y 2))))
1
(+ 1 (* x (pow y 2)))
(+ 1 (* x (+ (* 1/2 (* x (pow y 4))) (pow y 2))))
(+ 1 (* x (+ (* x (+ (* 1/6 (* x (pow y 6))) (* 1/2 (pow y 4)))) (pow y 2))))
1
(+ 1 (* x (pow y 2)))
(+ 1 (* x (pow y 2)))
(+ 1 (* x (pow y 2)))
(* x y)
(* x y)
(* x y)
(* x y)
1
(+ 1 x)
(+ 1 (* x (+ 1 (* 1/2 x))))
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))
(* x y)
(* x y)
(* x y)
(* x y)
(exp (* x y))
(exp (* x y))
(exp (* x y))
(exp (* x y))
(exp (* x (pow y 2)))
(exp (* x (pow y 2)))
(exp (* x (pow y 2)))
(exp (* x (pow y 2)))
(exp (* x (pow y 2)))
(exp (* x (pow y 2)))
(exp (* x (pow y 2)))
(exp (* x (pow y 2)))
(* x (pow y 2))
(* x (+ (/ 1 x) (pow y 2)))
(* x (+ (/ 1 x) (pow y 2)))
(* x (+ (/ 1 x) (pow y 2)))
(* x y)
(* x y)
(* x y)
(* x y)
(exp x)
(exp x)
(exp x)
(exp x)
(* x y)
(* x y)
(* x y)
(* x y)
(exp (* x y))
(exp (* x y))
(exp (* x y))
(exp (* x y))
(exp (* x (pow y 2)))
(exp (* x (pow y 2)))
(exp (* x (pow y 2)))
(exp (* x (pow y 2)))
(exp (* x (pow y 2)))
(exp (* x (pow y 2)))
(exp (* x (pow y 2)))
(exp (* x (pow y 2)))
(* x (pow y 2))
(* -1 (* x (- (* -1 (pow y 2)) (/ 1 x))))
(* -1 (* x (- (* -1 (pow y 2)) (/ 1 x))))
(* -1 (* x (- (* -1 (pow y 2)) (/ 1 x))))
(* x y)
(* x y)
(* x y)
(* x y)
(exp x)
(exp x)
(exp x)
(exp x)
Outputs
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
1
#s(literal 1 binary64)
(+ 1 (* x y))
(fma.f64 y x #s(literal 1 binary64))
(+ 1 (* y (+ x (* 1/2 (* (pow x 2) y)))))
(fma.f64 (fma.f64 (*.f64 (*.f64 x x) y) #s(literal 1/2 binary64) x) y #s(literal 1 binary64))
(+ 1 (* y (+ x (* y (+ (* 1/6 (* (pow x 3) y)) (* 1/2 (pow x 2)))))))
(fma.f64 (fma.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/6 binary64) x) y #s(literal 1/2 binary64))) y x) y #s(literal 1 binary64))
1
#s(literal 1 binary64)
(+ 1 (* x (pow y 2)))
(fma.f64 (*.f64 y y) x #s(literal 1 binary64))
(+ 1 (* (pow y 2) (+ x (* 1/2 (* (pow x 2) (pow y 2))))))
(fma.f64 (fma.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/2 binary64)) x (*.f64 y y)) x #s(literal 1 binary64))
(+ 1 (* (pow y 2) (+ x (* (pow y 2) (+ (* 1/6 (* (pow x 3) (pow y 2))) (* 1/2 (pow x 2)))))))
(fma.f64 (fma.f64 (fma.f64 (*.f64 (pow.f64 y #s(literal 6 binary64)) x) #s(literal 1/6 binary64) (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/2 binary64))) x (*.f64 y y)) x #s(literal 1 binary64))
1
#s(literal 1 binary64)
(+ 1 (* x (pow y 2)))
(fma.f64 (*.f64 y y) x #s(literal 1 binary64))
(+ 1 (* (pow y 2) (+ x (* 1/2 (* (pow x 2) (pow y 2))))))
(fma.f64 (fma.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/2 binary64)) x (*.f64 y y)) x #s(literal 1 binary64))
(+ 1 (* (pow y 2) (+ x (* (pow y 2) (+ (* 1/6 (* (pow x 3) (pow y 2))) (* 1/2 (pow x 2)))))))
(fma.f64 (fma.f64 (fma.f64 (*.f64 (pow.f64 y #s(literal 6 binary64)) x) #s(literal 1/6 binary64) (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/2 binary64))) x (*.f64 y y)) x #s(literal 1 binary64))
1
#s(literal 1 binary64)
(+ 1 (* x (pow y 2)))
(fma.f64 (*.f64 y y) x #s(literal 1 binary64))
(+ 1 (* x (pow y 2)))
(fma.f64 (*.f64 y y) x #s(literal 1 binary64))
(+ 1 (* x (pow y 2)))
(fma.f64 (*.f64 y y) x #s(literal 1 binary64))
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.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))
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(exp (* x y))
(pow.f64 (exp.f64 x) y)
(exp (* x y))
(pow.f64 (exp.f64 x) y)
(exp (* x y))
(pow.f64 (exp.f64 x) y)
(exp (* x y))
(pow.f64 (exp.f64 x) y)
(exp (* x (pow y 2)))
(pow.f64 (pow.f64 (exp.f64 y) y) x)
(exp (* x (pow y 2)))
(pow.f64 (pow.f64 (exp.f64 y) y) x)
(exp (* x (pow y 2)))
(pow.f64 (pow.f64 (exp.f64 y) y) x)
(exp (* x (pow y 2)))
(pow.f64 (pow.f64 (exp.f64 y) y) x)
(exp (* x (pow y 2)))
(pow.f64 (pow.f64 (exp.f64 y) y) x)
(exp (* x (pow y 2)))
(pow.f64 (pow.f64 (exp.f64 y) y) x)
(exp (* x (pow y 2)))
(pow.f64 (pow.f64 (exp.f64 y) y) x)
(exp (* x (pow y 2)))
(pow.f64 (pow.f64 (exp.f64 y) y) x)
(* x (pow y 2))
(*.f64 (*.f64 y y) x)
(* (pow y 2) (+ x (/ 1 (pow y 2))))
(fma.f64 (*.f64 y y) x #s(literal 1 binary64))
(* (pow y 2) (+ x (/ 1 (pow y 2))))
(fma.f64 (*.f64 y y) x #s(literal 1 binary64))
(* (pow y 2) (+ x (/ 1 (pow y 2))))
(fma.f64 (*.f64 y y) x #s(literal 1 binary64))
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(exp y)
(exp.f64 y)
(exp y)
(exp.f64 y)
(exp y)
(exp.f64 y)
(exp y)
(exp.f64 y)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(exp (* x y))
(pow.f64 (exp.f64 x) y)
(exp (* x y))
(pow.f64 (exp.f64 x) y)
(exp (* x y))
(pow.f64 (exp.f64 x) y)
(exp (* x y))
(pow.f64 (exp.f64 x) y)
(exp (* x (pow y 2)))
(pow.f64 (pow.f64 (exp.f64 y) y) x)
(exp (* x (pow y 2)))
(pow.f64 (pow.f64 (exp.f64 y) y) x)
(exp (* x (pow y 2)))
(pow.f64 (pow.f64 (exp.f64 y) y) x)
(exp (* x (pow y 2)))
(pow.f64 (pow.f64 (exp.f64 y) y) x)
(exp (* x (pow y 2)))
(pow.f64 (pow.f64 (exp.f64 y) y) x)
(exp (* x (pow y 2)))
(pow.f64 (pow.f64 (exp.f64 y) y) x)
(exp (* x (pow y 2)))
(pow.f64 (pow.f64 (exp.f64 y) y) x)
(exp (* x (pow y 2)))
(pow.f64 (pow.f64 (exp.f64 y) y) x)
(* x (pow y 2))
(*.f64 (*.f64 y y) x)
(* (pow y 2) (+ x (/ 1 (pow y 2))))
(fma.f64 (*.f64 y y) x #s(literal 1 binary64))
(* (pow y 2) (+ x (/ 1 (pow y 2))))
(fma.f64 (*.f64 y y) x #s(literal 1 binary64))
(* (pow y 2) (+ x (/ 1 (pow y 2))))
(fma.f64 (*.f64 y y) x #s(literal 1 binary64))
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(exp y)
(exp.f64 y)
(exp y)
(exp.f64 y)
(exp y)
(exp.f64 y)
(exp y)
(exp.f64 y)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
1
#s(literal 1 binary64)
(+ 1 (* x y))
(fma.f64 y x #s(literal 1 binary64))
(+ 1 (* x (+ y (* 1/2 (* x (pow y 2))))))
(fma.f64 (fma.f64 (*.f64 (*.f64 x x) y) #s(literal 1/2 binary64) x) y #s(literal 1 binary64))
(+ 1 (* x (+ y (* x (+ (* 1/6 (* x (pow y 3))) (* 1/2 (pow y 2)))))))
(fma.f64 (fma.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/6 binary64) x) y #s(literal 1/2 binary64))) y x) y #s(literal 1 binary64))
1
#s(literal 1 binary64)
(+ 1 (* x (pow y 2)))
(fma.f64 (*.f64 y y) x #s(literal 1 binary64))
(+ 1 (* x (+ (* 1/2 (* x (pow y 4))) (pow y 2))))
(fma.f64 (fma.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/2 binary64)) x (*.f64 y y)) x #s(literal 1 binary64))
(+ 1 (* x (+ (* x (+ (* 1/6 (* x (pow y 6))) (* 1/2 (pow y 4)))) (pow y 2))))
(fma.f64 (fma.f64 (fma.f64 (*.f64 (pow.f64 y #s(literal 6 binary64)) x) #s(literal 1/6 binary64) (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/2 binary64))) x (*.f64 y y)) x #s(literal 1 binary64))
1
#s(literal 1 binary64)
(+ 1 (* x (pow y 2)))
(fma.f64 (*.f64 y y) x #s(literal 1 binary64))
(+ 1 (* x (+ (* 1/2 (* x (pow y 4))) (pow y 2))))
(fma.f64 (fma.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/2 binary64)) x (*.f64 y y)) x #s(literal 1 binary64))
(+ 1 (* x (+ (* x (+ (* 1/6 (* x (pow y 6))) (* 1/2 (pow y 4)))) (pow y 2))))
(fma.f64 (fma.f64 (fma.f64 (*.f64 (pow.f64 y #s(literal 6 binary64)) x) #s(literal 1/6 binary64) (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/2 binary64))) x (*.f64 y y)) x #s(literal 1 binary64))
1
#s(literal 1 binary64)
(+ 1 (* x (pow y 2)))
(fma.f64 (*.f64 y y) x #s(literal 1 binary64))
(+ 1 (* x (pow y 2)))
(fma.f64 (*.f64 y y) x #s(literal 1 binary64))
(+ 1 (* x (pow y 2)))
(fma.f64 (*.f64 y y) x #s(literal 1 binary64))
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
1
#s(literal 1 binary64)
(+ 1 x)
(+.f64 #s(literal 1 binary64) x)
(+ 1 (* x (+ 1 (* 1/2 x))))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64))
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(exp (* x y))
(pow.f64 (exp.f64 x) y)
(exp (* x y))
(pow.f64 (exp.f64 x) y)
(exp (* x y))
(pow.f64 (exp.f64 x) y)
(exp (* x y))
(pow.f64 (exp.f64 x) y)
(exp (* x (pow y 2)))
(pow.f64 (pow.f64 (exp.f64 y) y) x)
(exp (* x (pow y 2)))
(pow.f64 (pow.f64 (exp.f64 y) y) x)
(exp (* x (pow y 2)))
(pow.f64 (pow.f64 (exp.f64 y) y) x)
(exp (* x (pow y 2)))
(pow.f64 (pow.f64 (exp.f64 y) y) x)
(exp (* x (pow y 2)))
(pow.f64 (pow.f64 (exp.f64 y) y) x)
(exp (* x (pow y 2)))
(pow.f64 (pow.f64 (exp.f64 y) y) x)
(exp (* x (pow y 2)))
(pow.f64 (pow.f64 (exp.f64 y) y) x)
(exp (* x (pow y 2)))
(pow.f64 (pow.f64 (exp.f64 y) y) x)
(* x (pow y 2))
(*.f64 (*.f64 y y) x)
(* x (+ (/ 1 x) (pow y 2)))
(fma.f64 (*.f64 y y) x #s(literal 1 binary64))
(* x (+ (/ 1 x) (pow y 2)))
(fma.f64 (*.f64 y y) x #s(literal 1 binary64))
(* x (+ (/ 1 x) (pow y 2)))
(fma.f64 (*.f64 y y) x #s(literal 1 binary64))
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(exp x)
(exp.f64 x)
(exp x)
(exp.f64 x)
(exp x)
(exp.f64 x)
(exp x)
(exp.f64 x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(exp (* x y))
(pow.f64 (exp.f64 x) y)
(exp (* x y))
(pow.f64 (exp.f64 x) y)
(exp (* x y))
(pow.f64 (exp.f64 x) y)
(exp (* x y))
(pow.f64 (exp.f64 x) y)
(exp (* x (pow y 2)))
(pow.f64 (pow.f64 (exp.f64 y) y) x)
(exp (* x (pow y 2)))
(pow.f64 (pow.f64 (exp.f64 y) y) x)
(exp (* x (pow y 2)))
(pow.f64 (pow.f64 (exp.f64 y) y) x)
(exp (* x (pow y 2)))
(pow.f64 (pow.f64 (exp.f64 y) y) x)
(exp (* x (pow y 2)))
(pow.f64 (pow.f64 (exp.f64 y) y) x)
(exp (* x (pow y 2)))
(pow.f64 (pow.f64 (exp.f64 y) y) x)
(exp (* x (pow y 2)))
(pow.f64 (pow.f64 (exp.f64 y) y) x)
(exp (* x (pow y 2)))
(pow.f64 (pow.f64 (exp.f64 y) y) x)
(* x (pow y 2))
(*.f64 (*.f64 y y) x)
(* -1 (* x (- (* -1 (pow y 2)) (/ 1 x))))
(fma.f64 (*.f64 y y) x #s(literal 1 binary64))
(* -1 (* x (- (* -1 (pow y 2)) (/ 1 x))))
(fma.f64 (*.f64 y y) x #s(literal 1 binary64))
(* -1 (* x (- (* -1 (pow y 2)) (/ 1 x))))
(fma.f64 (*.f64 y y) x #s(literal 1 binary64))
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(exp x)
(exp.f64 x)
(exp x)
(exp.f64 x)
(exp x)
(exp.f64 x)
(exp x)
(exp.f64 x)

rewrite170.0ms (0.6%)

Memory
65.3MiB live, 65.3MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01441
02141
14441
218941
3153441
0852741
Stop Event
iter limit
node limit
iter limit
Counts
8 → 264
Calls
Call 1
Inputs
(*.f64 x y)
(exp.f64 (*.f64 x y))
#s(approx (exp (* (* x y) y)) #s(literal 1 binary64))
#s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 y x) y #s(literal 1 binary64)))
(fma.f64 (*.f64 y x) y #s(literal 1 binary64))
(*.f64 y x)
(exp.f64 x)
(exp.f64 y)
Outputs
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eval37.0ms (0.1%)

Memory
34.0MiB live, 34.0MiB allocated
Compiler

Compiled 8 108 to 872 computations (89.2% saved)

prune16.0ms (0.1%)

Memory
26.1MiB live, 26.1MiB allocated
Pruning

16 alts after pruning (10 fresh and 6 done)

PrunedKeptTotal
New42210432
Fresh000
Picked055
Done011
Total42216438
Accuracy
100.0%
Counts
438 → 16
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(exp.f64 (*.f64 (*.f64 x y) y))
87.6%
(exp.f64 (*.f64 x y))
68.2%
(exp.f64 y)
60.7%
(exp.f64 x)
65.0%
#s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 y x) y #s(literal 1 binary64)))
20.8%
#s(approx (exp (* (* x y) y)) #s(approx (+ (* (* y x) y) 1) (*.f64 (*.f64 y y) x)))
49.6%
#s(approx (exp (* (* x y) y)) #s(literal 1 binary64))
64.7%
#s(approx (exp (* x y)) (fma.f64 (fma.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/6 binary64) x) y #s(literal 1/2 binary64))) y x) y #s(literal 1 binary64)))
60.4%
#s(approx (exp (* x y)) (fma.f64 (fma.f64 (*.f64 (*.f64 x x) y) #s(literal 1/2 binary64) x) y #s(literal 1 binary64)))
50.9%
#s(approx (exp (* x y)) (fma.f64 y x #s(literal 1 binary64)))
62.9%
#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)))
60.0%
#s(approx (exp y) (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal 1 binary64)) y #s(literal 1 binary64)))
45.8%
#s(approx (exp y) (+.f64 #s(literal 1 binary64) y))
47.7%
#s(approx (exp x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64)))
45.5%
#s(approx (exp x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64)))
33.2%
#s(approx (exp x) (+.f64 #s(literal 1 binary64) x))
Compiler

Compiled 197 to 173 computations (12.2% saved)

simplify54.0ms (0.2%)

Memory
6.3MiB live, 6.3MiB allocated
Algorithm
egg-herbie
Localize:

Found 15 expressions of interest:

NewMetricScoreProgram
cost-diff0
(fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64))
cost-diff0
(fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))
cost-diff0
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64))
cost-diff0
#s(approx (exp x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64)))
cost-diff0
(fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))
cost-diff0
(fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))
cost-diff0
#s(approx (exp x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64)))
cost-diff0
(fma.f64 y x #s(literal 1 binary64))
cost-diff0
#s(approx (exp (* x y)) (fma.f64 y x #s(literal 1 binary64)))
cost-diff0
(+.f64 #s(literal 1 binary64) x)
cost-diff0
#s(approx (exp x) (+.f64 #s(literal 1 binary64) x))
cost-diff0
(*.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/6 binary64) x) y #s(literal 1/2 binary64)))
cost-diff0
(fma.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/6 binary64) x) y #s(literal 1/2 binary64))) y x)
cost-diff0
(fma.f64 (fma.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/6 binary64) x) y #s(literal 1/2 binary64))) y x) y #s(literal 1 binary64))
cost-diff0
#s(approx (exp (* x y)) (fma.f64 (fma.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/6 binary64) x) y #s(literal 1/2 binary64))) y x) y #s(literal 1 binary64)))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
026166
047166
182166
2169166
3409166
4877166
51121166
61487166
72165166
82790166
92890166
102890166
112890166
123181166
133204166
03204166
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
#s(approx (exp (* x y)) (fma.f64 (fma.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/6 binary64) x) y #s(literal 1/2 binary64))) y x) y #s(literal 1 binary64)))
(fma.f64 (fma.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/6 binary64) x) y #s(literal 1/2 binary64))) y x) y #s(literal 1 binary64))
(fma.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/6 binary64) x) y #s(literal 1/2 binary64))) y x)
(*.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/6 binary64) x) y #s(literal 1/2 binary64)))
(*.f64 x x)
x
(fma.f64 (*.f64 #s(literal 1/6 binary64) x) y #s(literal 1/2 binary64))
(*.f64 #s(literal 1/6 binary64) x)
#s(literal 1/6 binary64)
y
#s(literal 1/2 binary64)
#s(literal 1 binary64)
#s(approx (exp x) (+.f64 #s(literal 1 binary64) x))
(+.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
#s(approx (exp (* x y)) (fma.f64 y x #s(literal 1 binary64)))
(fma.f64 y x #s(literal 1 binary64))
y
x
#s(literal 1 binary64)
#s(approx (exp x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64)))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))
#s(literal 1/2 binary64)
x
#s(literal 1 binary64)
#s(approx (exp x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64)))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64))
(fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))
(fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64))
#s(literal 1/6 binary64)
x
#s(literal 1/2 binary64)
#s(literal 1 binary64)
Outputs
#s(approx (exp (* x y)) (fma.f64 (fma.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/6 binary64) x) y #s(literal 1/2 binary64))) y x) y #s(literal 1 binary64)))
#s(approx (exp (* x y)) (fma.f64 (fma.f64 (*.f64 (fma.f64 y (*.f64 #s(literal 1/6 binary64) x) #s(literal 1/2 binary64)) y) x #s(literal 1 binary64)) (*.f64 y x) #s(literal 1 binary64)))
(fma.f64 (fma.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/6 binary64) x) y #s(literal 1/2 binary64))) y x) y #s(literal 1 binary64))
(fma.f64 (fma.f64 (*.f64 (fma.f64 y (*.f64 #s(literal 1/6 binary64) x) #s(literal 1/2 binary64)) y) x #s(literal 1 binary64)) (*.f64 y x) #s(literal 1 binary64))
(fma.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/6 binary64) x) y #s(literal 1/2 binary64))) y x)
(*.f64 (fma.f64 (*.f64 (fma.f64 y (*.f64 #s(literal 1/6 binary64) x) #s(literal 1/2 binary64)) y) x #s(literal 1 binary64)) x)
(*.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/6 binary64) x) y #s(literal 1/2 binary64)))
(*.f64 (*.f64 (fma.f64 y (*.f64 #s(literal 1/6 binary64) x) #s(literal 1/2 binary64)) x) x)
(*.f64 x x)
x
(fma.f64 (*.f64 #s(literal 1/6 binary64) x) y #s(literal 1/2 binary64))
(fma.f64 y (*.f64 #s(literal 1/6 binary64) x) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/6 binary64) x)
#s(literal 1/6 binary64)
y
#s(literal 1/2 binary64)
#s(literal 1 binary64)
#s(approx (exp x) (+.f64 #s(literal 1 binary64) x))
(+.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
#s(approx (exp (* x y)) (fma.f64 y x #s(literal 1 binary64)))
(fma.f64 y x #s(literal 1 binary64))
y
x
#s(literal 1 binary64)
#s(approx (exp x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64)))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))
#s(literal 1/2 binary64)
x
#s(literal 1 binary64)
#s(approx (exp x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64)))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64))
(fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))
(fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64))
#s(literal 1/6 binary64)
x
#s(literal 1/2 binary64)
#s(literal 1 binary64)

localize62.0ms (0.2%)

Memory
30.0MiB live, 30.0MiB allocated
Localize:

Found 15 expressions of interest:

NewMetricScoreProgram
accuracy0.0390625
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64))
accuracy0.0546875
(fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))
accuracy0.16796875
(fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64))
accuracy15.98590361525721
#s(approx (exp x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64)))
accuracy0
(fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))
accuracy0
(fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))
accuracy18.812089375961982
#s(approx (exp x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64)))
accuracy0
(fma.f64 y x #s(literal 1 binary64))
accuracy27.982956438313376
#s(approx (exp (* x y)) (fma.f64 y x #s(literal 1 binary64)))
accuracy0
(+.f64 #s(literal 1 binary64) x)
accuracy29.038033807272665
#s(approx (exp x) (+.f64 #s(literal 1 binary64) x))
accuracy0.4905805514719167
(*.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/6 binary64) x) y #s(literal 1/2 binary64)))
accuracy1.887853693881715
(fma.f64 (fma.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/6 binary64) x) y #s(literal 1/2 binary64))) y x) y #s(literal 1 binary64))
accuracy3.6531419104173795
(fma.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/6 binary64) x) y #s(literal 1/2 binary64))) y x)
accuracy17.94145972919389
#s(approx (exp (* x y)) (fma.f64 (fma.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/6 binary64) x) y #s(literal 1/2 binary64))) y x) y #s(literal 1 binary64)))
Samples
45.0ms255×0valid
1.0ms5exit
Compiler

Compiled 292 to 54 computations (81.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 32.0ms
ival-mult: 16.0ms (49.3% of total)
ival-add: 9.0ms (27.7% of total)
const: 3.0ms (9.2% of total)
ival-exp: 3.0ms (9.2% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series15.0ms (0.1%)

Memory
7.9MiB live, 7.9MiB allocated
Counts
15 → 252
Calls
Call 1
Inputs
#s(alt #s(approx (exp (* x y)) (fma.f64 (fma.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/6 binary64) x) y #s(literal 1/2 binary64))) y x) y #s(literal 1 binary64))) (patch #s(approx (exp (* x y)) (fma.f64 (fma.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/6 binary64) x) y #s(literal 1/2 binary64))) y x) y #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 (fma.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/6 binary64) x) y #s(literal 1/2 binary64))) y x) y #s(literal 1 binary64)) (patch (fma.f64 (fma.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/6 binary64) x) y #s(literal 1/2 binary64))) y x) y #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (fma.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/6 binary64) x) y #s(literal 1/2 binary64))) y x) (patch (fma.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/6 binary64) x) y #s(literal 1/2 binary64))) y x) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/6 binary64) x) y #s(literal 1/2 binary64))) (patch (*.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/6 binary64) x) y #s(literal 1/2 binary64))) #<representation binary64>) () ())
#s(alt #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) (patch #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())
#s(alt (+.f64 #s(literal 1 binary64) x) (patch (+.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())
#s(alt #s(approx (exp (* x y)) (fma.f64 y x #s(literal 1 binary64))) (patch #s(approx (exp (* x y)) (fma.f64 y x #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 y x #s(literal 1 binary64)) (patch (fma.f64 y x #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (exp x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))) (patch #s(approx (exp x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64)) (patch (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) (patch (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (exp x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64))) (patch #s(approx (exp x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64)) (patch (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) (patch (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) (patch (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) #<representation binary64>) () ())
Outputs
#s(alt 1 (taylor 0 y) (#s(alt #s(approx (exp (* x y)) (fma.f64 (fma.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/6 binary64) x) y #s(literal 1/2 binary64))) y x) y #s(literal 1 binary64))) (patch #s(approx (exp (* x y)) (fma.f64 (fma.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/6 binary64) x) y #s(literal 1/2 binary64))) y x) y #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* x y)) (taylor 0 y) (#s(alt #s(approx (exp (* x y)) (fma.f64 (fma.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/6 binary64) x) y #s(literal 1/2 binary64))) y x) y #s(literal 1 binary64))) (patch #s(approx (exp (* x y)) (fma.f64 (fma.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/6 binary64) x) y #s(literal 1/2 binary64))) y x) y #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* y (+ x (* 1/2 (* (pow x 2) y))))) (taylor 0 y) (#s(alt #s(approx (exp (* x y)) (fma.f64 (fma.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/6 binary64) x) y #s(literal 1/2 binary64))) y x) y #s(literal 1 binary64))) (patch #s(approx (exp (* x y)) (fma.f64 (fma.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/6 binary64) x) y #s(literal 1/2 binary64))) y x) y #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* y (+ x (* y (+ (* 1/6 (* (pow x 3) y)) (* 1/2 (pow x 2))))))) (taylor 0 y) (#s(alt #s(approx (exp (* x y)) (fma.f64 (fma.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/6 binary64) x) y #s(literal 1/2 binary64))) y x) y #s(literal 1 binary64))) (patch #s(approx (exp (* x y)) (fma.f64 (fma.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/6 binary64) x) y #s(literal 1/2 binary64))) y x) y #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 y) (#s(alt (fma.f64 (fma.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/6 binary64) x) y #s(literal 1/2 binary64))) y x) y #s(literal 1 binary64)) (patch (fma.f64 (fma.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/6 binary64) x) y #s(literal 1/2 binary64))) y x) y #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* x y)) (taylor 0 y) (#s(alt (fma.f64 (fma.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/6 binary64) x) y #s(literal 1/2 binary64))) y x) y #s(literal 1 binary64)) (patch (fma.f64 (fma.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/6 binary64) x) y #s(literal 1/2 binary64))) y x) y #s(literal 1 binary64)) #<representation binary64>) () ())) ())
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#s(alt (exp (* x y)) (taylor -inf x) (#s(alt #s(approx (exp (* x y)) (fma.f64 (fma.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/6 binary64) x) y #s(literal 1/2 binary64))) y x) y #s(literal 1 binary64))) (patch #s(approx (exp (* x y)) (fma.f64 (fma.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/6 binary64) x) y #s(literal 1/2 binary64))) y x) y #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (exp (* x y)) (taylor -inf x) (#s(alt #s(approx (exp (* x y)) (fma.f64 (fma.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/6 binary64) x) y #s(literal 1/2 binary64))) y x) y #s(literal 1 binary64))) (patch #s(approx (exp (* x y)) (fma.f64 (fma.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/6 binary64) x) y #s(literal 1/2 binary64))) y x) y #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (exp (* x y)) (taylor -inf x) (#s(alt #s(approx (exp (* x y)) (fma.f64 (fma.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/6 binary64) x) y #s(literal 1/2 binary64))) y x) y #s(literal 1 binary64))) (patch #s(approx (exp (* x y)) (fma.f64 (fma.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/6 binary64) x) y #s(literal 1/2 binary64))) y x) y #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (exp (* x y)) (taylor -inf x) (#s(alt #s(approx (exp (* x y)) (fma.f64 (fma.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/6 binary64) x) y #s(literal 1/2 binary64))) y x) y #s(literal 1 binary64))) (patch #s(approx (exp (* x y)) (fma.f64 (fma.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/6 binary64) x) y #s(literal 1/2 binary64))) y x) y #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/6 (* (pow x 3) (pow y 3))) (taylor -inf x) (#s(alt (fma.f64 (fma.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/6 binary64) x) y #s(literal 1/2 binary64))) y x) y #s(literal 1 binary64)) (patch (fma.f64 (fma.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/6 binary64) x) y #s(literal 1/2 binary64))) y x) y #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 3) (+ (* -1/2 (/ (pow y 2) x)) (* -1/6 (pow y 3))))) (taylor -inf x) (#s(alt (fma.f64 (fma.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/6 binary64) x) y #s(literal 1/2 binary64))) y x) y #s(literal 1 binary64)) (patch (fma.f64 (fma.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/6 binary64) x) y #s(literal 1/2 binary64))) y x) y #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 3) (+ (* -1 (/ (+ (* 1/2 (pow y 2)) (/ y x)) x)) (* -1/6 (pow y 3))))) (taylor -inf x) (#s(alt (fma.f64 (fma.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/6 binary64) x) y #s(literal 1/2 binary64))) y x) y #s(literal 1 binary64)) (patch (fma.f64 (fma.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/6 binary64) x) y #s(literal 1/2 binary64))) y x) y #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 3) (+ (* -1 (/ (+ (* -1 (/ (- (* -1 y) (/ 1 x)) x)) (* 1/2 (pow y 2))) x)) (* -1/6 (pow y 3))))) (taylor -inf x) (#s(alt (fma.f64 (fma.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/6 binary64) x) y #s(literal 1/2 binary64))) y x) y #s(literal 1 binary64)) (patch (fma.f64 (fma.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/6 binary64) x) y #s(literal 1/2 binary64))) y x) y #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/6 (* (pow x 3) (pow y 2))) (taylor -inf x) (#s(alt (fma.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/6 binary64) x) y #s(literal 1/2 binary64))) y x) (patch (fma.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/6 binary64) x) y #s(literal 1/2 binary64))) y x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 3) (+ (* -1/2 (/ y x)) (* -1/6 (pow y 2))))) (taylor -inf x) (#s(alt (fma.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/6 binary64) x) y #s(literal 1/2 binary64))) y x) (patch (fma.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/6 binary64) x) y #s(literal 1/2 binary64))) y x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 3) (+ (* -1 (/ (+ (* 1/2 y) (/ 1 x)) x)) (* -1/6 (pow y 2))))) (taylor -inf x) (#s(alt (fma.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/6 binary64) x) y #s(literal 1/2 binary64))) y x) (patch (fma.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/6 binary64) x) y #s(literal 1/2 binary64))) y x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 3) (+ (* -1 (/ (+ (* 1/2 y) (/ 1 x)) x)) (* -1/6 (pow y 2))))) (taylor -inf x) (#s(alt (fma.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/6 binary64) x) y #s(literal 1/2 binary64))) y x) (patch (fma.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/6 binary64) x) y #s(literal 1/2 binary64))) y x) #<representation binary64>) () ())) ())
#s(alt (* 1/6 (* (pow x 3) y)) (taylor -inf x) (#s(alt (*.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/6 binary64) x) y #s(literal 1/2 binary64))) (patch (*.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/6 binary64) x) y #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 3) (- (* -1/6 y) (* 1/2 (/ 1 x))))) (taylor -inf x) (#s(alt (*.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/6 binary64) x) y #s(literal 1/2 binary64))) (patch (*.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/6 binary64) x) y #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 3) (- (* -1/6 y) (* 1/2 (/ 1 x))))) (taylor -inf x) (#s(alt (*.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/6 binary64) x) y #s(literal 1/2 binary64))) (patch (*.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/6 binary64) x) y #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 3) (- (* -1/6 y) (* 1/2 (/ 1 x))))) (taylor -inf x) (#s(alt (*.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/6 binary64) x) y #s(literal 1/2 binary64))) (patch (*.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/6 binary64) x) y #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (exp x) (taylor -inf x) (#s(alt #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) (patch #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (exp x) (taylor -inf x) (#s(alt #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) (patch #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (exp x) (taylor -inf x) (#s(alt #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) (patch #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (exp x) (taylor -inf x) (#s(alt #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) (patch #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ())
#s(alt x (taylor -inf x) (#s(alt (+.f64 #s(literal 1 binary64) x) (patch (+.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (/ 1 x))) (taylor -inf x) (#s(alt (+.f64 #s(literal 1 binary64) x) (patch (+.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (/ 1 x))) (taylor -inf x) (#s(alt (+.f64 #s(literal 1 binary64) x) (patch (+.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (/ 1 x))) (taylor -inf x) (#s(alt (+.f64 #s(literal 1 binary64) x) (patch (+.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ())
#s(alt (exp (* x y)) (taylor -inf x) (#s(alt #s(approx (exp (* x y)) (fma.f64 y x #s(literal 1 binary64))) (patch #s(approx (exp (* x y)) (fma.f64 y x #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (exp (* x y)) (taylor -inf x) (#s(alt #s(approx (exp (* x y)) (fma.f64 y x #s(literal 1 binary64))) (patch #s(approx (exp (* x y)) (fma.f64 y x #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (exp (* x y)) (taylor -inf x) (#s(alt #s(approx (exp (* x y)) (fma.f64 y x #s(literal 1 binary64))) (patch #s(approx (exp (* x y)) (fma.f64 y x #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (exp (* x y)) (taylor -inf x) (#s(alt #s(approx (exp (* x y)) (fma.f64 y x #s(literal 1 binary64))) (patch #s(approx (exp (* x y)) (fma.f64 y x #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf x) (#s(alt (fma.f64 y x #s(literal 1 binary64)) (patch (fma.f64 y x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 y) (/ 1 x)))) (taylor -inf x) (#s(alt (fma.f64 y x #s(literal 1 binary64)) (patch (fma.f64 y x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 y) (/ 1 x)))) (taylor -inf x) (#s(alt (fma.f64 y x #s(literal 1 binary64)) (patch (fma.f64 y x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 y) (/ 1 x)))) (taylor -inf x) (#s(alt (fma.f64 y x #s(literal 1 binary64)) (patch (fma.f64 y x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (exp x) (taylor -inf x) (#s(alt #s(approx (exp x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))) (patch #s(approx (exp x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (exp x) (taylor -inf x) (#s(alt #s(approx (exp x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))) (patch #s(approx (exp x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (exp x) (taylor -inf x) (#s(alt #s(approx (exp x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))) (patch #s(approx (exp x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (exp x) (taylor -inf x) (#s(alt #s(approx (exp x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))) (patch #s(approx (exp x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (pow x 2)) (taylor -inf x) (#s(alt (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64)) (patch (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1/2 (/ 1 x))) (taylor -inf x) (#s(alt (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64)) (patch (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1/2 (+ (/ 1 x) (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64)) (patch (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1/2 (+ (/ 1 x) (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64)) (patch (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 x) (taylor -inf x) (#s(alt (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) (patch (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1/2 (/ 1 x))) (taylor -inf x) (#s(alt (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) (patch (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1/2 (/ 1 x))) (taylor -inf x) (#s(alt (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) (patch (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1/2 (/ 1 x))) (taylor -inf x) (#s(alt (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) (patch (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (exp x) (taylor -inf x) (#s(alt #s(approx (exp x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64))) (patch #s(approx (exp x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (exp x) (taylor -inf x) (#s(alt #s(approx (exp x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64))) (patch #s(approx (exp x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (exp x) (taylor -inf x) (#s(alt #s(approx (exp x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64))) (patch #s(approx (exp x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (exp x) (taylor -inf x) (#s(alt #s(approx (exp x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64))) (patch #s(approx (exp x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/6 (pow x 3)) (taylor -inf x) (#s(alt (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64)) (patch (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 3) (+ 1/6 (* 1/2 (/ 1 x)))) (taylor -inf x) (#s(alt (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64)) (patch (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 3) (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/6))) (taylor -inf x) (#s(alt (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64)) (patch (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 3) (- (* -1 (/ (+ 1/2 (+ (/ 1 x) (/ 1 (pow x 2)))) x)) 1/6))) (taylor -inf x) (#s(alt (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64)) (patch (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/6 (pow x 2)) (taylor -inf x) (#s(alt (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) (patch (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1/6 (* 1/2 (/ 1 x)))) (taylor -inf x) (#s(alt (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) (patch (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) (patch (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) (patch (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/6 x) (taylor -inf x) (#s(alt (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) (patch (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1/6 (* 1/2 (/ 1 x)))) (taylor -inf x) (#s(alt (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) (patch (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1/6 (* 1/2 (/ 1 x)))) (taylor -inf x) (#s(alt (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) (patch (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1/6 (* 1/2 (/ 1 x)))) (taylor -inf x) (#s(alt (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) (patch (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
Calls

6 calls:

TimeVariablePointExpression
2.0ms
x
@-inf
((exp (* x y)) (+ (* (+ (* (* (* x x) (+ (* (* 1/6 x) y) 1/2)) y) x) y) 1) (+ (* (* (* x x) (+ (* (* 1/6 x) y) 1/2)) y) x) (* (* x x) (+ (* (* 1/6 x) y) 1/2)) (exp x) (+ 1 x) (exp (* x y)) (+ (* y x) 1) (exp x) (+ (* (+ (* 1/2 x) 1) x) 1) (+ (* 1/2 x) 1) (exp x) (+ (* (+ (* (+ (* 1/6 x) 1/2) x) 1) x) 1) (+ (* (+ (* 1/6 x) 1/2) x) 1) (+ (* 1/6 x) 1/2))
2.0ms
y
@-inf
((exp (* x y)) (+ (* (+ (* (* (* x x) (+ (* (* 1/6 x) y) 1/2)) y) x) y) 1) (+ (* (* (* x x) (+ (* (* 1/6 x) y) 1/2)) y) x) (* (* x x) (+ (* (* 1/6 x) y) 1/2)) (exp x) (+ 1 x) (exp (* x y)) (+ (* y x) 1) (exp x) (+ (* (+ (* 1/2 x) 1) x) 1) (+ (* 1/2 x) 1) (exp x) (+ (* (+ (* (+ (* 1/6 x) 1/2) x) 1) x) 1) (+ (* (+ (* 1/6 x) 1/2) x) 1) (+ (* 1/6 x) 1/2))
2.0ms
x
@inf
((exp (* x y)) (+ (* (+ (* (* (* x x) (+ (* (* 1/6 x) y) 1/2)) y) x) y) 1) (+ (* (* (* x x) (+ (* (* 1/6 x) y) 1/2)) y) x) (* (* x x) (+ (* (* 1/6 x) y) 1/2)) (exp x) (+ 1 x) (exp (* x y)) (+ (* y x) 1) (exp x) (+ (* (+ (* 1/2 x) 1) x) 1) (+ (* 1/2 x) 1) (exp x) (+ (* (+ (* (+ (* 1/6 x) 1/2) x) 1) x) 1) (+ (* (+ (* 1/6 x) 1/2) x) 1) (+ (* 1/6 x) 1/2))
1.0ms
x
@0
((exp (* x y)) (+ (* (+ (* (* (* x x) (+ (* (* 1/6 x) y) 1/2)) y) x) y) 1) (+ (* (* (* x x) (+ (* (* 1/6 x) y) 1/2)) y) x) (* (* x x) (+ (* (* 1/6 x) y) 1/2)) (exp x) (+ 1 x) (exp (* x y)) (+ (* y x) 1) (exp x) (+ (* (+ (* 1/2 x) 1) x) 1) (+ (* 1/2 x) 1) (exp x) (+ (* (+ (* (+ (* 1/6 x) 1/2) x) 1) x) 1) (+ (* (+ (* 1/6 x) 1/2) x) 1) (+ (* 1/6 x) 1/2))
1.0ms
y
@0
((exp (* x y)) (+ (* (+ (* (* (* x x) (+ (* (* 1/6 x) y) 1/2)) y) x) y) 1) (+ (* (* (* x x) (+ (* (* 1/6 x) y) 1/2)) y) x) (* (* x x) (+ (* (* 1/6 x) y) 1/2)) (exp x) (+ 1 x) (exp (* x y)) (+ (* y x) 1) (exp x) (+ (* (+ (* 1/2 x) 1) x) 1) (+ (* 1/2 x) 1) (exp x) (+ (* (+ (* (+ (* 1/6 x) 1/2) x) 1) x) 1) (+ (* (+ (* 1/6 x) 1/2) x) 1) (+ (* 1/6 x) 1/2))

simplify134.0ms (0.5%)

Memory
44.3MiB live, 44.3MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02231965
17521900
225911851
371931849
080401660
Stop Event
iter limit
node limit
Counts
252 → 248
Calls
Call 1
Inputs
1
(+ 1 (* x y))
(+ 1 (* y (+ x (* 1/2 (* (pow x 2) y)))))
(+ 1 (* y (+ x (* y (+ (* 1/6 (* (pow x 3) y)) (* 1/2 (pow x 2)))))))
1
(+ 1 (* x y))
(+ 1 (* y (+ x (* 1/2 (* (pow x 2) y)))))
(+ 1 (* y (+ x (* y (+ (* 1/6 (* (pow x 3) y)) (* 1/2 (pow x 2)))))))
x
(+ x (* 1/2 (* (pow x 2) y)))
(+ x (* y (+ (* 1/6 (* (pow x 3) y)) (* 1/2 (pow x 2)))))
(+ x (* y (+ (* 1/6 (* (pow x 3) y)) (* 1/2 (pow x 2)))))
(* 1/2 (pow x 2))
(+ (* 1/6 (* (pow x 3) y)) (* 1/2 (pow x 2)))
(+ (* 1/6 (* (pow x 3) y)) (* 1/2 (pow x 2)))
(+ (* 1/6 (* (pow x 3) y)) (* 1/2 (pow x 2)))
1
(+ 1 (* x y))
(+ 1 (* y (+ x (* 1/2 (* (pow x 2) y)))))
(+ 1 (* y (+ x (* y (+ (* 1/6 (* (pow x 3) y)) (* 1/2 (pow x 2)))))))
1
(+ 1 (* x y))
(+ 1 (* x y))
(+ 1 (* x y))
(exp (* x y))
(exp (* x y))
(exp (* x y))
(exp (* x y))
(* 1/6 (* (pow x 3) (pow y 3)))
(* (pow y 3) (+ (* 1/6 (pow x 3)) (* 1/2 (/ (pow x 2) y))))
(* (pow y 3) (+ (* 1/6 (pow x 3)) (+ (* 1/2 (/ (pow x 2) y)) (/ x (pow y 2)))))
(* (pow y 3) (+ (* 1/6 (pow x 3)) (+ (* 1/2 (/ (pow x 2) y)) (+ (/ 1 (pow y 3)) (/ x (pow y 2))))))
(* 1/6 (* (pow x 3) (pow y 2)))
(* (pow y 2) (+ (* 1/6 (pow x 3)) (* 1/2 (/ (pow x 2) y))))
(* (pow y 2) (+ (* 1/6 (pow x 3)) (+ (* 1/2 (/ (pow x 2) y)) (/ x (pow y 2)))))
(* (pow y 2) (+ (* 1/6 (pow x 3)) (+ (* 1/2 (/ (pow x 2) y)) (/ x (pow y 2)))))
(* 1/6 (* (pow x 3) y))
(* y (+ (* 1/6 (pow x 3)) (* 1/2 (/ (pow x 2) y))))
(* y (+ (* 1/6 (pow x 3)) (* 1/2 (/ (pow x 2) y))))
(* y (+ (* 1/6 (pow x 3)) (* 1/2 (/ (pow x 2) y))))
(exp (* x y))
(exp (* x y))
(exp (* x y))
(exp (* x y))
(* x y)
(* y (+ x (/ 1 y)))
(* y (+ x (/ 1 y)))
(* y (+ x (/ 1 y)))
(exp (* x y))
(exp (* x y))
(exp (* x y))
(exp (* x y))
(* 1/6 (* (pow x 3) (pow y 3)))
(* -1 (* (pow y 3) (+ (* -1/2 (/ (pow x 2) y)) (* -1/6 (pow x 3)))))
(* -1 (* (pow y 3) (+ (* -1 (/ (+ (* 1/2 (pow x 2)) (/ x y)) y)) (* -1/6 (pow x 3)))))
(* -1 (* (pow y 3) (+ (* -1 (/ (+ (* -1 (/ (- (* -1 x) (/ 1 y)) y)) (* 1/2 (pow x 2))) y)) (* -1/6 (pow x 3)))))
(* 1/6 (* (pow x 3) (pow y 2)))
(* (pow y 2) (+ (* 1/6 (pow x 3)) (* 1/2 (/ (pow x 2) y))))
(* (pow y 2) (+ (* -1 (/ (+ (* -1 (/ x y)) (* -1/2 (pow x 2))) y)) (* 1/6 (pow x 3))))
(* (pow y 2) (+ (* -1 (/ (+ (* -1 (/ x y)) (* -1/2 (pow x 2))) y)) (* 1/6 (pow x 3))))
(* 1/6 (* (pow x 3) y))
(* -1 (* y (+ (* -1/2 (/ (pow x 2) y)) (* -1/6 (pow x 3)))))
(* -1 (* y (+ (* -1/2 (/ (pow x 2) y)) (* -1/6 (pow x 3)))))
(* -1 (* y (+ (* -1/2 (/ (pow x 2) y)) (* -1/6 (pow x 3)))))
(exp (* x y))
(exp (* x y))
(exp (* x y))
(exp (* x y))
(* x y)
(* -1 (* y (- (* -1 x) (/ 1 y))))
(* -1 (* y (- (* -1 x) (/ 1 y))))
(* -1 (* y (- (* -1 x) (/ 1 y))))
1
(+ 1 (* x y))
(+ 1 (* x (+ y (* 1/2 (* x (pow y 2))))))
(+ 1 (* x (+ y (* x (+ (* 1/6 (* x (pow y 3))) (* 1/2 (pow y 2)))))))
1
(+ 1 (* x y))
(+ 1 (* x (+ y (* 1/2 (* x (pow y 2))))))
(+ 1 (* x (+ y (* x (+ (* 1/6 (* x (pow y 3))) (* 1/2 (pow y 2)))))))
x
(* x (+ 1 (* 1/2 (* x y))))
(* x (+ 1 (* x (+ (* 1/6 (* x (pow y 2))) (* 1/2 y)))))
(* x (+ 1 (* x (+ (* 1/6 (* x (pow y 2))) (* 1/2 y)))))
(* 1/2 (pow x 2))
(* (pow x 2) (+ 1/2 (* 1/6 (* x y))))
(* (pow x 2) (+ 1/2 (* 1/6 (* x y))))
(* (pow x 2) (+ 1/2 (* 1/6 (* x y))))
1
(+ 1 x)
(+ 1 (* x (+ 1 (* 1/2 x))))
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))
1
(+ 1 x)
(+ 1 x)
(+ 1 x)
1
(+ 1 (* x y))
(+ 1 (* x (+ y (* 1/2 (* x (pow y 2))))))
(+ 1 (* x (+ y (* x (+ (* 1/6 (* x (pow y 3))) (* 1/2 (pow y 2)))))))
1
(+ 1 (* x y))
(+ 1 (* x y))
(+ 1 (* x y))
1
(+ 1 x)
(+ 1 (* x (+ 1 (* 1/2 x))))
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))
1
(+ 1 x)
(+ 1 (* x (+ 1 (* 1/2 x))))
(+ 1 (* x (+ 1 (* 1/2 x))))
1
(+ 1 (* 1/2 x))
(+ 1 (* 1/2 x))
(+ 1 (* 1/2 x))
1
(+ 1 x)
(+ 1 (* x (+ 1 (* 1/2 x))))
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))
1
(+ 1 x)
(+ 1 (* x (+ 1 (* 1/2 x))))
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))
1
(+ 1 (* 1/2 x))
(+ 1 (* x (+ 1/2 (* 1/6 x))))
(+ 1 (* x (+ 1/2 (* 1/6 x))))
1/2
(+ 1/2 (* 1/6 x))
(+ 1/2 (* 1/6 x))
(+ 1/2 (* 1/6 x))
(exp (* x y))
(exp (* x y))
(exp (* x y))
(exp (* x y))
(* 1/6 (* (pow x 3) (pow y 3)))
(* (pow x 3) (+ (* 1/6 (pow y 3)) (* 1/2 (/ (pow y 2) x))))
(* (pow x 3) (+ (* 1/6 (pow y 3)) (+ (* 1/2 (/ (pow y 2) x)) (/ y (pow x 2)))))
(* (pow x 3) (+ (* 1/6 (pow y 3)) (+ (* 1/2 (/ (pow y 2) x)) (+ (/ 1 (pow x 3)) (/ y (pow x 2))))))
(* 1/6 (* (pow x 3) (pow y 2)))
(* (pow x 3) (+ (* 1/6 (pow y 2)) (* 1/2 (/ y x))))
(* (pow x 3) (+ (* 1/6 (pow y 2)) (+ (* 1/2 (/ y x)) (/ 1 (pow x 2)))))
(* (pow x 3) (+ (* 1/6 (pow y 2)) (+ (* 1/2 (/ y x)) (/ 1 (pow x 2)))))
(* 1/6 (* (pow x 3) y))
(* (pow x 3) (+ (* 1/6 y) (* 1/2 (/ 1 x))))
(* (pow x 3) (+ (* 1/6 y) (* 1/2 (/ 1 x))))
(* (pow x 3) (+ (* 1/6 y) (* 1/2 (/ 1 x))))
(exp x)
(exp x)
(exp x)
(exp x)
x
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
(exp (* x y))
(exp (* x y))
(exp (* x y))
(exp (* x y))
(* x y)
(* x (+ y (/ 1 x)))
(* x (+ y (/ 1 x)))
(* x (+ y (/ 1 x)))
(exp x)
(exp x)
(exp x)
(exp x)
(* 1/2 (pow x 2))
(* (pow x 2) (+ 1/2 (/ 1 x)))
(* (pow x 2) (+ 1/2 (+ (/ 1 x) (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/2 (+ (/ 1 x) (/ 1 (pow x 2)))))
(* 1/2 x)
(* x (+ 1/2 (/ 1 x)))
(* x (+ 1/2 (/ 1 x)))
(* x (+ 1/2 (/ 1 x)))
(exp x)
(exp x)
(exp x)
(exp x)
(* 1/6 (pow x 3))
(* (pow x 3) (+ 1/6 (* 1/2 (/ 1 x))))
(* (pow x 3) (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/6 (+ (* 1/2 (/ 1 x)) (+ (/ 1 (pow x 2)) (/ 1 (pow x 3))))))
(* 1/6 (pow x 2))
(* (pow x 2) (+ 1/6 (* 1/2 (/ 1 x))))
(* (pow x 2) (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))))
(* 1/6 x)
(* x (+ 1/6 (* 1/2 (/ 1 x))))
(* x (+ 1/6 (* 1/2 (/ 1 x))))
(* x (+ 1/6 (* 1/2 (/ 1 x))))
(exp (* x y))
(exp (* x y))
(exp (* x y))
(exp (* x y))
(* 1/6 (* (pow x 3) (pow y 3)))
(* -1 (* (pow x 3) (+ (* -1/2 (/ (pow y 2) x)) (* -1/6 (pow y 3)))))
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* 1/2 (pow y 2)) (/ y x)) x)) (* -1/6 (pow y 3)))))
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* -1 (/ (- (* -1 y) (/ 1 x)) x)) (* 1/2 (pow y 2))) x)) (* -1/6 (pow y 3)))))
(* 1/6 (* (pow x 3) (pow y 2)))
(* -1 (* (pow x 3) (+ (* -1/2 (/ y x)) (* -1/6 (pow y 2)))))
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* 1/2 y) (/ 1 x)) x)) (* -1/6 (pow y 2)))))
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* 1/2 y) (/ 1 x)) x)) (* -1/6 (pow y 2)))))
(* 1/6 (* (pow x 3) y))
(* -1 (* (pow x 3) (- (* -1/6 y) (* 1/2 (/ 1 x)))))
(* -1 (* (pow x 3) (- (* -1/6 y) (* 1/2 (/ 1 x)))))
(* -1 (* (pow x 3) (- (* -1/6 y) (* 1/2 (/ 1 x)))))
(exp x)
(exp x)
(exp x)
(exp x)
x
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
(exp (* x y))
(exp (* x y))
(exp (* x y))
(exp (* x y))
(* x y)
(* -1 (* x (- (* -1 y) (/ 1 x))))
(* -1 (* x (- (* -1 y) (/ 1 x))))
(* -1 (* x (- (* -1 y) (/ 1 x))))
(exp x)
(exp x)
(exp x)
(exp x)
(* 1/2 (pow x 2))
(* (pow x 2) (+ 1/2 (/ 1 x)))
(* (pow x 2) (+ 1/2 (+ (/ 1 x) (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/2 (+ (/ 1 x) (/ 1 (pow x 2)))))
(* 1/2 x)
(* x (+ 1/2 (/ 1 x)))
(* x (+ 1/2 (/ 1 x)))
(* x (+ 1/2 (/ 1 x)))
(exp x)
(exp x)
(exp x)
(exp x)
(* 1/6 (pow x 3))
(* (pow x 3) (+ 1/6 (* 1/2 (/ 1 x))))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/6)))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/2 (+ (/ 1 x) (/ 1 (pow x 2)))) x)) 1/6)))
(* 1/6 (pow x 2))
(* (pow x 2) (+ 1/6 (* 1/2 (/ 1 x))))
(* (pow x 2) (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))))
(* 1/6 x)
(* x (+ 1/6 (* 1/2 (/ 1 x))))
(* x (+ 1/6 (* 1/2 (/ 1 x))))
(* x (+ 1/6 (* 1/2 (/ 1 x))))
Outputs
1
#s(literal 1 binary64)
(+ 1 (* x y))
(fma.f64 y x #s(literal 1 binary64))
(+ 1 (* y (+ x (* 1/2 (* (pow x 2) y)))))
(fma.f64 (fma.f64 (*.f64 (*.f64 x x) y) #s(literal 1/2 binary64) x) y #s(literal 1 binary64))
(+ 1 (* y (+ x (* y (+ (* 1/6 (* (pow x 3) y)) (* 1/2 (pow x 2)))))))
(fma.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y x) #s(literal 1/2 binary64)) x) x) y x) y #s(literal 1 binary64))
1
#s(literal 1 binary64)
(+ 1 (* x y))
(fma.f64 y x #s(literal 1 binary64))
(+ 1 (* y (+ x (* 1/2 (* (pow x 2) y)))))
(fma.f64 (fma.f64 (*.f64 (*.f64 x x) y) #s(literal 1/2 binary64) x) y #s(literal 1 binary64))
(+ 1 (* y (+ x (* y (+ (* 1/6 (* (pow x 3) y)) (* 1/2 (pow x 2)))))))
(fma.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y x) #s(literal 1/2 binary64)) x) x) y x) y #s(literal 1 binary64))
x
(+ x (* 1/2 (* (pow x 2) y)))
(fma.f64 (*.f64 (*.f64 x x) y) #s(literal 1/2 binary64) x)
(+ x (* y (+ (* 1/6 (* (pow x 3) y)) (* 1/2 (pow x 2)))))
(fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y x) #s(literal 1/2 binary64)) x) x) y x)
(+ x (* y (+ (* 1/6 (* (pow x 3) y)) (* 1/2 (pow x 2)))))
(fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y x) #s(literal 1/2 binary64)) x) x) y x)
(* 1/2 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/2 binary64))
(+ (* 1/6 (* (pow x 3) y)) (* 1/2 (pow x 2)))
(*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y x) #s(literal 1/2 binary64)) x) x)
(+ (* 1/6 (* (pow x 3) y)) (* 1/2 (pow x 2)))
(*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y x) #s(literal 1/2 binary64)) x) x)
(+ (* 1/6 (* (pow x 3) y)) (* 1/2 (pow x 2)))
(*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y x) #s(literal 1/2 binary64)) x) x)
1
#s(literal 1 binary64)
(+ 1 (* x y))
(fma.f64 y x #s(literal 1 binary64))
(+ 1 (* y (+ x (* 1/2 (* (pow x 2) y)))))
(fma.f64 (fma.f64 (*.f64 (*.f64 x x) y) #s(literal 1/2 binary64) x) y #s(literal 1 binary64))
(+ 1 (* y (+ x (* y (+ (* 1/6 (* (pow x 3) y)) (* 1/2 (pow x 2)))))))
(fma.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y x) #s(literal 1/2 binary64)) x) x) y x) y #s(literal 1 binary64))
1
#s(literal 1 binary64)
(+ 1 (* x y))
(fma.f64 y x #s(literal 1 binary64))
(+ 1 (* x y))
(fma.f64 y x #s(literal 1 binary64))
(+ 1 (* x y))
(fma.f64 y x #s(literal 1 binary64))
(exp (* x y))
(pow.f64 (exp.f64 y) x)
(exp (* x y))
(pow.f64 (exp.f64 y) x)
(exp (* x y))
(pow.f64 (exp.f64 y) x)
(exp (* x y))
(pow.f64 (exp.f64 y) x)
(* 1/6 (* (pow x 3) (pow y 3)))
(*.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))
(* (pow y 3) (+ (* 1/6 (pow x 3)) (* 1/2 (/ (pow x 2) y))))
(*.f64 (*.f64 (*.f64 x x) (fma.f64 #s(literal 1/6 binary64) x (/.f64 #s(literal 1/2 binary64) y))) (pow.f64 y #s(literal 3 binary64)))
(* (pow y 3) (+ (* 1/6 (pow x 3)) (+ (* 1/2 (/ (pow x 2) y)) (/ x (pow y 2)))))
(*.f64 (fma.f64 (*.f64 x x) (fma.f64 #s(literal 1/6 binary64) x (/.f64 #s(literal 1/2 binary64) y)) (/.f64 x (*.f64 y y))) (pow.f64 y #s(literal 3 binary64)))
(* (pow y 3) (+ (* 1/6 (pow x 3)) (+ (* 1/2 (/ (pow x 2) y)) (+ (/ 1 (pow y 3)) (/ x (pow y 2))))))
(*.f64 (fma.f64 (*.f64 x x) (fma.f64 #s(literal 1/6 binary64) x (/.f64 #s(literal 1/2 binary64) y)) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) (/.f64 x (*.f64 y y)))) (pow.f64 y #s(literal 3 binary64)))
(* 1/6 (* (pow x 3) (pow y 2)))
(*.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) y) y) #s(literal 1/6 binary64))
(* (pow y 2) (+ (* 1/6 (pow x 3)) (* 1/2 (/ (pow x 2) y))))
(*.f64 (*.f64 y y) (*.f64 (*.f64 x x) (fma.f64 #s(literal 1/6 binary64) x (/.f64 #s(literal 1/2 binary64) y))))
(* (pow y 2) (+ (* 1/6 (pow x 3)) (+ (* 1/2 (/ (pow x 2) y)) (/ x (pow y 2)))))
(*.f64 (fma.f64 (*.f64 x x) (fma.f64 #s(literal 1/6 binary64) x (/.f64 #s(literal 1/2 binary64) y)) (/.f64 x (*.f64 y y))) (*.f64 y y))
(* (pow y 2) (+ (* 1/6 (pow x 3)) (+ (* 1/2 (/ (pow x 2) y)) (/ x (pow y 2)))))
(*.f64 (fma.f64 (*.f64 x x) (fma.f64 #s(literal 1/6 binary64) x (/.f64 #s(literal 1/2 binary64) y)) (/.f64 x (*.f64 y y))) (*.f64 y y))
(* 1/6 (* (pow x 3) y))
(*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) y) #s(literal 1/6 binary64))
(* y (+ (* 1/6 (pow x 3)) (* 1/2 (/ (pow x 2) y))))
(*.f64 (*.f64 (*.f64 x x) (fma.f64 #s(literal 1/6 binary64) x (/.f64 #s(literal 1/2 binary64) y))) y)
(* y (+ (* 1/6 (pow x 3)) (* 1/2 (/ (pow x 2) y))))
(*.f64 (*.f64 (*.f64 x x) (fma.f64 #s(literal 1/6 binary64) x (/.f64 #s(literal 1/2 binary64) y))) y)
(* y (+ (* 1/6 (pow x 3)) (* 1/2 (/ (pow x 2) y))))
(*.f64 (*.f64 (*.f64 x x) (fma.f64 #s(literal 1/6 binary64) x (/.f64 #s(literal 1/2 binary64) y))) y)
(exp (* x y))
(pow.f64 (exp.f64 y) x)
(exp (* x y))
(pow.f64 (exp.f64 y) x)
(exp (* x y))
(pow.f64 (exp.f64 y) x)
(exp (* x y))
(pow.f64 (exp.f64 y) x)
(* x y)
(*.f64 y x)
(* y (+ x (/ 1 y)))
(fma.f64 y x #s(literal 1 binary64))
(* y (+ x (/ 1 y)))
(fma.f64 y x #s(literal 1 binary64))
(* y (+ x (/ 1 y)))
(fma.f64 y x #s(literal 1 binary64))
(exp (* x y))
(pow.f64 (exp.f64 y) x)
(exp (* x y))
(pow.f64 (exp.f64 y) x)
(exp (* x y))
(pow.f64 (exp.f64 y) x)
(exp (* x y))
(pow.f64 (exp.f64 y) x)
(* 1/6 (* (pow x 3) (pow y 3)))
(*.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))
(* -1 (* (pow y 3) (+ (* -1/2 (/ (pow x 2) y)) (* -1/6 (pow x 3)))))
(*.f64 (*.f64 (*.f64 x x) (fma.f64 #s(literal 1/6 binary64) x (/.f64 #s(literal 1/2 binary64) y))) (pow.f64 y #s(literal 3 binary64)))
(* -1 (* (pow y 3) (+ (* -1 (/ (+ (* 1/2 (pow x 2)) (/ x y)) y)) (* -1/6 (pow x 3)))))
(*.f64 (neg.f64 (fma.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64)) (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) (/.f64 x y)) (neg.f64 y)))) (pow.f64 y #s(literal 3 binary64)))
(* -1 (* (pow y 3) (+ (* -1 (/ (+ (* -1 (/ (- (* -1 x) (/ 1 y)) y)) (* 1/2 (pow x 2))) y)) (* -1/6 (pow x 3)))))
(*.f64 (neg.f64 (fma.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64)) (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) x (/.f64 (-.f64 x (/.f64 #s(literal -1 binary64) y)) y)) (neg.f64 y)))) (pow.f64 y #s(literal 3 binary64)))
(* 1/6 (* (pow x 3) (pow y 2)))
(*.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) y) y) #s(literal 1/6 binary64))
(* (pow y 2) (+ (* 1/6 (pow x 3)) (* 1/2 (/ (pow x 2) y))))
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(*.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x)) (pow.f64 x #s(literal 3 binary64)))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/2 (+ (/ 1 x) (/ 1 (pow x 2)))) x)) 1/6)))
(*.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 (-.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) x) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))) x)) (pow.f64 x #s(literal 3 binary64)))
(* 1/6 (pow x 2))
(*.f64 (*.f64 #s(literal 1/6 binary64) x) x)
(* (pow x 2) (+ 1/6 (* 1/2 (/ 1 x))))
(*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x)
(* (pow x 2) (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))))
(fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))
(* (pow x 2) (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))))
(fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))
(* 1/6 x)
(*.f64 #s(literal 1/6 binary64) x)
(* x (+ 1/6 (* 1/2 (/ 1 x))))
(fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64))
(* x (+ 1/6 (* 1/2 (/ 1 x))))
(fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64))
(* x (+ 1/6 (* 1/2 (/ 1 x))))
(fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64))

rewrite141.0ms (0.5%)

Memory
50.8MiB live, 50.8MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
026137
047137
1190137
21466137
08199137
Stop Event
iter limit
node limit
iter limit
Counts
15 → 409
Calls
Call 1
Inputs
#s(approx (exp (* x y)) (fma.f64 (fma.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/6 binary64) x) y #s(literal 1/2 binary64))) y x) y #s(literal 1 binary64)))
(fma.f64 (fma.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/6 binary64) x) y #s(literal 1/2 binary64))) y x) y #s(literal 1 binary64))
(fma.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/6 binary64) x) y #s(literal 1/2 binary64))) y x)
(*.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/6 binary64) x) y #s(literal 1/2 binary64)))
#s(approx (exp x) (+.f64 #s(literal 1 binary64) x))
(+.f64 #s(literal 1 binary64) x)
#s(approx (exp (* x y)) (fma.f64 y x #s(literal 1 binary64)))
(fma.f64 y x #s(literal 1 binary64))
#s(approx (exp x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64)))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))
#s(approx (exp x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64)))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64))
(fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))
(fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64))
Outputs
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eval91.0ms (0.3%)

Memory
57.4MiB live, 57.4MiB allocated
Compiler

Compiled 14 214 to 2 033 computations (85.7% saved)

prune38.0ms (0.1%)

Memory
36.4MiB live, 36.4MiB allocated
Pruning

18 alts after pruning (11 fresh and 7 done)

PrunedKeptTotal
New6516657
Fresh055
Picked415
Done066
Total65518673
Accuracy
100.0%
Counts
673 → 18
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(exp.f64 (*.f64 (*.f64 x y) y))
87.6%
(exp.f64 (*.f64 x y))
68.2%
(exp.f64 y)
60.7%
(exp.f64 x)
65.0%
#s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 y x) y #s(literal 1 binary64)))
20.8%
#s(approx (exp (* (* x y) y)) #s(approx (+ (* (* y x) y) 1) (*.f64 (*.f64 y y) x)))
49.6%
#s(approx (exp (* (* x y) y)) #s(literal 1 binary64))
64.6%
#s(approx (exp (* x y)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y x) (*.f64 x x)) (*.f64 (*.f64 #s(literal 1/2 binary64) x) x)) y x) y #s(literal 1 binary64)))
60.4%
#s(approx (exp (* x y)) (fma.f64 (fma.f64 (*.f64 (*.f64 x x) y) #s(literal 1/2 binary64) x) y #s(literal 1 binary64)))
25.9%
#s(approx (exp (* x y)) #s(approx (+ (* (+ (* (* (* x x) (+ (* (* 1/6 x) y) 1/2)) y) x) y) 1) (*.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y x) #s(literal 1/2 binary64)) x) x) y x) y)))
11.0%
#s(approx (exp (* x y)) #s(approx (+ (* y x) 1) (*.f64 y x)))
62.9%
#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)))
60.0%
#s(approx (exp y) (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal 1 binary64)) y #s(literal 1 binary64)))
45.8%
#s(approx (exp y) (+.f64 #s(literal 1 binary64) y))
33.2%
#s(approx (exp x) (+.f64 #s(literal 1 binary64) x))
25.0%
#s(approx (exp x) #s(approx (+ (* (+ (* (+ (* 1/6 x) 1/2) x) 1) x) 1) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64))))
23.7%
#s(approx (exp x) #s(approx (+ (* (+ (* (+ (* 1/6 x) 1/2) x) 1) x) 1) (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x) x)))
21.5%
#s(approx (exp x) #s(approx (+ (* (+ (* 1/2 x) 1) x) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))))
Compiler

Compiled 245 to 212 computations (13.5% saved)

simplify46.0ms (0.2%)

Memory
6.6MiB live, 6.6MiB allocated
Algorithm
egg-herbie
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
cost-diff0
(fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64))
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
(fma.f64 #s(literal 1/2 binary64) y #s(literal 1 binary64))
cost-diff0
(fma.f64 (fma.f64 #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 #s(literal 1/2 binary64) y #s(literal 1 binary64)) y #s(literal 1 binary64)))
cost-diff0
(*.f64 x x)
cost-diff0
(*.f64 (*.f64 x x) #s(literal 1/2 binary64))
cost-diff0
#s(approx (+ (* (+ (* 1/2 x) 1) x) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))
cost-diff0
#s(approx (exp x) #s(approx (+ (* (+ (* 1/2 x) 1) x) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))))
cost-diff0
(+.f64 #s(literal 1 binary64) y)
cost-diff0
#s(approx (exp y) (+.f64 #s(literal 1 binary64) y))
cost-diff0
(fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y x) (*.f64 x x)) (*.f64 (*.f64 #s(literal 1/2 binary64) x) x)) y x)
cost-diff0
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y x) (*.f64 x x)) (*.f64 (*.f64 #s(literal 1/2 binary64) x) x)) y x) y #s(literal 1 binary64))
cost-diff0
#s(approx (exp (* x y)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y x) (*.f64 x x)) (*.f64 (*.f64 #s(literal 1/2 binary64) x) x)) y x) y #s(literal 1 binary64)))
cost-diff6464
(fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y x) (*.f64 x x)) (*.f64 (*.f64 #s(literal 1/2 binary64) x) x))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
034218
057218
193204
2169204
3406204
4912204
51188204
61275204
71379204
81534204
91634204
101787204
111788204
121788204
01788196
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
#s(approx (exp (* x y)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y x) (*.f64 x x)) (*.f64 (*.f64 #s(literal 1/2 binary64) x) x)) y x) y #s(literal 1 binary64)))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y x) (*.f64 x x)) (*.f64 (*.f64 #s(literal 1/2 binary64) x) x)) y x) y #s(literal 1 binary64))
(fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y x) (*.f64 x x)) (*.f64 (*.f64 #s(literal 1/2 binary64) x) x)) y x)
(fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y x) (*.f64 x x)) (*.f64 (*.f64 #s(literal 1/2 binary64) x) x))
#s(literal 1/6 binary64)
(*.f64 (*.f64 y x) (*.f64 x x))
(*.f64 y x)
y
x
(*.f64 x x)
(*.f64 (*.f64 #s(literal 1/2 binary64) x) x)
(*.f64 #s(literal 1/2 binary64) x)
#s(literal 1/2 binary64)
#s(literal 1 binary64)
#s(approx (exp y) (+.f64 #s(literal 1 binary64) y))
(+.f64 #s(literal 1 binary64) y)
#s(literal 1 binary64)
y
#s(approx (exp x) #s(approx (+ (* (+ (* 1/2 x) 1) x) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))))
#s(approx (+ (* (+ (* 1/2 x) 1) x) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))
(*.f64 (*.f64 x x) #s(literal 1/2 binary64))
(*.f64 x x)
x
#s(literal 1/2 binary64)
#s(approx (exp y) (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal 1 binary64)) y #s(literal 1 binary64)))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal 1 binary64)) y #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) y #s(literal 1 binary64))
#s(literal 1/2 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))
(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)
Outputs
#s(approx (exp (* x y)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y x) (*.f64 x x)) (*.f64 (*.f64 #s(literal 1/2 binary64) x) x)) y x) y #s(literal 1 binary64)))
#s(approx (exp (* x y)) (fma.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 y #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x) y #s(literal 1 binary64)) y) x #s(literal 1 binary64)))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y x) (*.f64 x x)) (*.f64 (*.f64 #s(literal 1/2 binary64) x) x)) y x) y #s(literal 1 binary64))
(fma.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 y #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x) y #s(literal 1 binary64)) y) x #s(literal 1 binary64))
(fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y x) (*.f64 x x)) (*.f64 (*.f64 #s(literal 1/2 binary64) x) x)) y x)
(*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 y #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x) y #s(literal 1 binary64)) x)
(fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y x) (*.f64 x x)) (*.f64 (*.f64 #s(literal 1/2 binary64) x) x))
(*.f64 (*.f64 (fma.f64 (*.f64 y #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x) x)
#s(literal 1/6 binary64)
(*.f64 (*.f64 y x) (*.f64 x x))
(*.f64 (pow.f64 x #s(literal 3 binary64)) y)
(*.f64 y x)
(*.f64 x y)
y
x
(*.f64 x x)
(*.f64 (*.f64 #s(literal 1/2 binary64) x) x)
(*.f64 #s(literal 1/2 binary64) x)
#s(literal 1/2 binary64)
#s(literal 1 binary64)
#s(approx (exp y) (+.f64 #s(literal 1 binary64) y))
(+.f64 #s(literal 1 binary64) y)
#s(literal 1 binary64)
y
#s(approx (exp x) #s(approx (+ (* (+ (* 1/2 x) 1) x) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))))
#s(approx (exp x) #s(approx (+ (* (+ (* 1/2 x) 1) x) 1) (*.f64 (*.f64 #s(literal 1/2 binary64) x) x)))
#s(approx (+ (* (+ (* 1/2 x) 1) x) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))
#s(approx (+ (* (+ (* 1/2 x) 1) x) 1) (*.f64 (*.f64 #s(literal 1/2 binary64) x) x))
(*.f64 (*.f64 x x) #s(literal 1/2 binary64))
(*.f64 (*.f64 #s(literal 1/2 binary64) x) x)
(*.f64 x x)
x
#s(literal 1/2 binary64)
#s(approx (exp y) (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal 1 binary64)) y #s(literal 1 binary64)))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal 1 binary64)) y #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) y #s(literal 1 binary64))
#s(literal 1/2 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)))
#s(approx (exp y) (fma.f64 (fma.f64 (fma.f64 y #s(literal 1/6 binary64) #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 (fma.f64 y #s(literal 1/6 binary64) #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 (fma.f64 y #s(literal 1/6 binary64) #s(literal 1/2 binary64)) y #s(literal 1 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))
#s(literal 1/6 binary64)
y
#s(literal 1/2 binary64)
#s(literal 1 binary64)

localize90.0ms (0.3%)

Memory
35.6MiB live, 35.6MiB allocated
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
accuracy0.0390625
(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))
accuracy0.04296875
(fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64))
accuracy0.1796875
(fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64))
accuracy9.804294841141951
#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 (fma.f64 #s(literal 1/2 binary64) y #s(literal 1 binary64)) y #s(literal 1 binary64))
accuracy0
(fma.f64 #s(literal 1/2 binary64) y #s(literal 1 binary64))
accuracy14.363023029081926
#s(approx (exp y) (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal 1 binary64)) y #s(literal 1 binary64)))
accuracy0
(*.f64 x x)
accuracy0.01171875
(*.f64 (*.f64 x x) #s(literal 1/2 binary64))
accuracy18.812089375961982
#s(approx (exp x) #s(approx (+ (* (+ (* 1/2 x) 1) x) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))))
accuracy33.02009502995249
#s(approx (+ (* (+ (* 1/2 x) 1) x) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))
accuracy0
(+.f64 #s(literal 1 binary64) y)
accuracy30.389805763189557
#s(approx (exp y) (+.f64 #s(literal 1 binary64) y))
accuracy1.887853693881715
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y x) (*.f64 x x)) (*.f64 (*.f64 #s(literal 1/2 binary64) x) x)) y x) y #s(literal 1 binary64))
accuracy3.6531419104173795
(fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y x) (*.f64 x x)) (*.f64 (*.f64 #s(literal 1/2 binary64) x) x)) y x)
accuracy5.988235838264528
(fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y x) (*.f64 x x)) (*.f64 (*.f64 #s(literal 1/2 binary64) x) x))
accuracy17.94145972919389
#s(approx (exp (* x y)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y x) (*.f64 x x)) (*.f64 (*.f64 #s(literal 1/2 binary64) x) x)) y x) y #s(literal 1 binary64)))
Samples
66.0ms256×0valid
Compiler

Compiled 357 to 63 computations (82.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 47.0ms
ival-mult: 24.0ms (50.6% of total)
ival-add: 13.0ms (27.4% of total)
ival-exp: 6.0ms (12.6% of total)
const: 4.0ms (8.4% 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
8.5MiB live, 8.5MiB allocated
Counts
17 → 252
Calls
Call 1
Inputs
#s(alt (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y x) (*.f64 x x)) (*.f64 (*.f64 #s(literal 1/2 binary64) x) x)) (patch (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y x) (*.f64 x x)) (*.f64 (*.f64 #s(literal 1/2 binary64) x) x)) #<representation binary64>) () ())
#s(alt #s(approx (exp (* x y)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y x) (*.f64 x x)) (*.f64 (*.f64 #s(literal 1/2 binary64) x) x)) y x) y #s(literal 1 binary64))) (patch #s(approx (exp (* x y)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y x) (*.f64 x x)) (*.f64 (*.f64 #s(literal 1/2 binary64) x) x)) y x) y #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y x) (*.f64 x x)) (*.f64 (*.f64 #s(literal 1/2 binary64) x) x)) y x) y #s(literal 1 binary64)) (patch (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y x) (*.f64 x x)) (*.f64 (*.f64 #s(literal 1/2 binary64) x) x)) y x) y #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y x) (*.f64 x x)) (*.f64 (*.f64 #s(literal 1/2 binary64) x) x)) y x) (patch (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y x) (*.f64 x x)) (*.f64 (*.f64 #s(literal 1/2 binary64) x) x)) y x) #<representation binary64>) () ())
#s(alt #s(approx (exp y) (+.f64 #s(literal 1 binary64) y)) (patch #s(approx (exp y) (+.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())
#s(alt (+.f64 #s(literal 1 binary64) y) (patch (+.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())
#s(alt #s(approx (exp x) #s(approx (+ (* (+ (* 1/2 x) 1) x) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) (patch #s(approx (exp x) #s(approx (+ (* (+ (* 1/2 x) 1) x) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) #<representation binary64>) () ())
#s(alt #s(approx (+ (* (+ (* 1/2 x) 1) x) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) (patch #s(approx (+ (* (+ (* 1/2 x) 1) x) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) (patch (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) #<representation binary64>) () ())
#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())
#s(alt #s(approx (exp y) (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal 1 binary64)) y #s(literal 1 binary64))) (patch #s(approx (exp y) (fma.f64 (fma.f64 #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 1/2 binary64) y #s(literal 1 binary64)) y #s(literal 1 binary64)) (patch (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal 1 binary64)) y #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (fma.f64 #s(literal 1/2 binary64) y #s(literal 1 binary64)) (patch (fma.f64 #s(literal 1/2 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 (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>) () ())
Outputs
#s(alt (* 1/2 (pow x 2)) (taylor 0 y) (#s(alt (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y x) (*.f64 x x)) (*.f64 (*.f64 #s(literal 1/2 binary64) x) x)) (patch (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y x) (*.f64 x x)) (*.f64 (*.f64 #s(literal 1/2 binary64) x) x)) #<representation binary64>) () ())) ())
#s(alt (+ (* 1/6 (* (pow x 3) y)) (* 1/2 (pow x 2))) (taylor 0 y) (#s(alt (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y x) (*.f64 x x)) (*.f64 (*.f64 #s(literal 1/2 binary64) x) x)) (patch (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y x) (*.f64 x x)) (*.f64 (*.f64 #s(literal 1/2 binary64) x) x)) #<representation binary64>) () ())) ())
#s(alt (+ (* 1/6 (* (pow x 3) y)) (* 1/2 (pow x 2))) (taylor 0 y) (#s(alt (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y x) (*.f64 x x)) (*.f64 (*.f64 #s(literal 1/2 binary64) x) x)) (patch (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y x) (*.f64 x x)) (*.f64 (*.f64 #s(literal 1/2 binary64) x) x)) #<representation binary64>) () ())) ())
#s(alt (+ (* 1/6 (* (pow x 3) y)) (* 1/2 (pow x 2))) (taylor 0 y) (#s(alt (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y x) (*.f64 x x)) (*.f64 (*.f64 #s(literal 1/2 binary64) x) x)) (patch (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y x) (*.f64 x x)) (*.f64 (*.f64 #s(literal 1/2 binary64) x) x)) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 y) (#s(alt #s(approx (exp (* x y)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y x) (*.f64 x x)) (*.f64 (*.f64 #s(literal 1/2 binary64) x) x)) y x) y #s(literal 1 binary64))) (patch #s(approx (exp (* x y)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y x) (*.f64 x x)) (*.f64 (*.f64 #s(literal 1/2 binary64) x) x)) y x) y #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* x y)) (taylor 0 y) (#s(alt #s(approx (exp (* x y)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y x) (*.f64 x x)) (*.f64 (*.f64 #s(literal 1/2 binary64) x) x)) y x) y #s(literal 1 binary64))) (patch #s(approx (exp (* x y)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y x) (*.f64 x x)) (*.f64 (*.f64 #s(literal 1/2 binary64) x) x)) y x) y #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* y (+ x (* 1/2 (* (pow x 2) y))))) (taylor 0 y) (#s(alt #s(approx (exp (* x y)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y x) (*.f64 x x)) (*.f64 (*.f64 #s(literal 1/2 binary64) x) x)) y x) y #s(literal 1 binary64))) (patch #s(approx (exp (* x y)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y x) (*.f64 x x)) (*.f64 (*.f64 #s(literal 1/2 binary64) x) x)) y x) y #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* y (+ x (* y (+ (* 1/6 (* (pow x 3) y)) (* 1/2 (pow x 2))))))) (taylor 0 y) (#s(alt #s(approx (exp (* x y)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y x) (*.f64 x x)) (*.f64 (*.f64 #s(literal 1/2 binary64) x) x)) y x) y #s(literal 1 binary64))) (patch #s(approx (exp (* x y)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y x) (*.f64 x x)) (*.f64 (*.f64 #s(literal 1/2 binary64) x) x)) y x) y #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 y) (#s(alt (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y x) (*.f64 x x)) (*.f64 (*.f64 #s(literal 1/2 binary64) x) x)) y x) y #s(literal 1 binary64)) (patch (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y x) (*.f64 x x)) (*.f64 (*.f64 #s(literal 1/2 binary64) x) x)) y x) y #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* x y)) (taylor 0 y) (#s(alt (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y x) (*.f64 x x)) (*.f64 (*.f64 #s(literal 1/2 binary64) x) x)) y x) y #s(literal 1 binary64)) (patch (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y x) (*.f64 x x)) (*.f64 (*.f64 #s(literal 1/2 binary64) x) x)) y x) y #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* y (+ x (* 1/2 (* (pow x 2) y))))) (taylor 0 y) (#s(alt (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y x) (*.f64 x x)) (*.f64 (*.f64 #s(literal 1/2 binary64) x) x)) y x) y #s(literal 1 binary64)) (patch (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y x) (*.f64 x x)) (*.f64 (*.f64 #s(literal 1/2 binary64) x) x)) y x) y #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* y (+ x (* y (+ (* 1/6 (* (pow x 3) y)) (* 1/2 (pow x 2))))))) (taylor 0 y) (#s(alt (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y x) (*.f64 x x)) (*.f64 (*.f64 #s(literal 1/2 binary64) x) x)) y x) y #s(literal 1 binary64)) (patch (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y x) (*.f64 x x)) (*.f64 (*.f64 #s(literal 1/2 binary64) x) x)) y x) y #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 y) (#s(alt (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y x) (*.f64 x x)) (*.f64 (*.f64 #s(literal 1/2 binary64) x) x)) y x) (patch (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y x) (*.f64 x x)) (*.f64 (*.f64 #s(literal 1/2 binary64) x) x)) y x) #<representation binary64>) () ())) ())
#s(alt (+ x (* 1/2 (* (pow x 2) y))) (taylor 0 y) (#s(alt (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y x) (*.f64 x x)) (*.f64 (*.f64 #s(literal 1/2 binary64) x) x)) y x) (patch (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y x) (*.f64 x x)) (*.f64 (*.f64 #s(literal 1/2 binary64) x) x)) y x) #<representation binary64>) () ())) ())
#s(alt (+ x (* y (+ (* 1/6 (* (pow x 3) y)) (* 1/2 (pow x 2))))) (taylor 0 y) (#s(alt (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y x) (*.f64 x x)) (*.f64 (*.f64 #s(literal 1/2 binary64) x) x)) y x) (patch (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y x) (*.f64 x x)) (*.f64 (*.f64 #s(literal 1/2 binary64) x) x)) y x) #<representation binary64>) () ())) ())
#s(alt (+ x (* y (+ (* 1/6 (* (pow x 3) y)) (* 1/2 (pow x 2))))) (taylor 0 y) (#s(alt (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y x) (*.f64 x x)) (*.f64 (*.f64 #s(literal 1/2 binary64) x) x)) y x) (patch (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y x) (*.f64 x x)) (*.f64 (*.f64 #s(literal 1/2 binary64) x) x)) y x) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 y) (#s(alt #s(approx (exp y) (+.f64 #s(literal 1 binary64) y)) (patch #s(approx (exp y) (+.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (+ 1 y) (taylor 0 y) (#s(alt #s(approx (exp y) (+.f64 #s(literal 1 binary64) y)) (patch #s(approx (exp y) (+.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* y (+ 1 (* 1/2 y)))) (taylor 0 y) (#s(alt #s(approx (exp y) (+.f64 #s(literal 1 binary64) y)) (patch #s(approx (exp y) (+.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* y (+ 1 (* y (+ 1/2 (* 1/6 y)))))) (taylor 0 y) (#s(alt #s(approx (exp y) (+.f64 #s(literal 1 binary64) y)) (patch #s(approx (exp y) (+.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 y) (#s(alt (+.f64 #s(literal 1 binary64) y) (patch (+.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())) ())
#s(alt (+ 1 y) (taylor 0 y) (#s(alt (+.f64 #s(literal 1 binary64) y) (patch (+.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())) ())
#s(alt (+ 1 y) (taylor 0 y) (#s(alt (+.f64 #s(literal 1 binary64) y) (patch (+.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())) ())
#s(alt (+ 1 y) (taylor 0 y) (#s(alt (+.f64 #s(literal 1 binary64) y) (patch (+.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 y) (#s(alt #s(approx (exp y) (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal 1 binary64)) y #s(literal 1 binary64))) (patch #s(approx (exp y) (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal 1 binary64)) y #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1 y) (taylor 0 y) (#s(alt #s(approx (exp y) (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal 1 binary64)) y #s(literal 1 binary64))) (patch #s(approx (exp y) (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal 1 binary64)) y #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* y (+ 1 (* 1/2 y)))) (taylor 0 y) (#s(alt #s(approx (exp y) (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal 1 binary64)) y #s(literal 1 binary64))) (patch #s(approx (exp y) (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal 1 binary64)) y #s(literal 1 binary64))) #<representation binary64>) () ())) ())
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#s(alt (pow x 2) (taylor -inf x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ())
Calls

6 calls:

TimeVariablePointExpression
3.0ms
y
@-inf
((+ (* 1/6 (* (* y x) (* x x))) (* (* 1/2 x) x)) (exp (* x y)) (+ (* (+ (* (+ (* 1/6 (* (* y x) (* x x))) (* (* 1/2 x) x)) y) x) y) 1) (+ (* (+ (* 1/6 (* (* y x) (* x x))) (* (* 1/2 x) x)) y) x) (exp y) (+ 1 y) (exp x) (+ (* (+ (* 1/2 x) 1) x) 1) (* (* x x) 1/2) (* x x) (exp y) (+ (* (+ (* 1/2 y) 1) y) 1) (+ (* 1/2 y) 1) (exp y) (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (+ (* (+ (* 1/6 y) 1/2) y) 1) (+ (* 1/6 y) 1/2))
2.0ms
y
@inf
((+ (* 1/6 (* (* y x) (* x x))) (* (* 1/2 x) x)) (exp (* x y)) (+ (* (+ (* (+ (* 1/6 (* (* y x) (* x x))) (* (* 1/2 x) x)) y) x) y) 1) (+ (* (+ (* 1/6 (* (* y x) (* x x))) (* (* 1/2 x) x)) y) x) (exp y) (+ 1 y) (exp x) (+ (* (+ (* 1/2 x) 1) x) 1) (* (* x x) 1/2) (* x x) (exp y) (+ (* (+ (* 1/2 y) 1) y) 1) (+ (* 1/2 y) 1) (exp y) (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (+ (* (+ (* 1/6 y) 1/2) y) 1) (+ (* 1/6 y) 1/2))
1.0ms
y
@0
((+ (* 1/6 (* (* y x) (* x x))) (* (* 1/2 x) x)) (exp (* x y)) (+ (* (+ (* (+ (* 1/6 (* (* y x) (* x x))) (* (* 1/2 x) x)) y) x) y) 1) (+ (* (+ (* 1/6 (* (* y x) (* x x))) (* (* 1/2 x) x)) y) x) (exp y) (+ 1 y) (exp x) (+ (* (+ (* 1/2 x) 1) x) 1) (* (* x x) 1/2) (* x x) (exp y) (+ (* (+ (* 1/2 y) 1) y) 1) (+ (* 1/2 y) 1) (exp y) (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (+ (* (+ (* 1/6 y) 1/2) y) 1) (+ (* 1/6 y) 1/2))
1.0ms
x
@-inf
((+ (* 1/6 (* (* y x) (* x x))) (* (* 1/2 x) x)) (exp (* x y)) (+ (* (+ (* (+ (* 1/6 (* (* y x) (* x x))) (* (* 1/2 x) x)) y) x) y) 1) (+ (* (+ (* 1/6 (* (* y x) (* x x))) (* (* 1/2 x) x)) y) x) (exp y) (+ 1 y) (exp x) (+ (* (+ (* 1/2 x) 1) x) 1) (* (* x x) 1/2) (* x x) (exp y) (+ (* (+ (* 1/2 y) 1) y) 1) (+ (* 1/2 y) 1) (exp y) (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (+ (* (+ (* 1/6 y) 1/2) y) 1) (+ (* 1/6 y) 1/2))
1.0ms
x
@inf
((+ (* 1/6 (* (* y x) (* x x))) (* (* 1/2 x) x)) (exp (* x y)) (+ (* (+ (* (+ (* 1/6 (* (* y x) (* x x))) (* (* 1/2 x) x)) y) x) y) 1) (+ (* (+ (* 1/6 (* (* y x) (* x x))) (* (* 1/2 x) x)) y) x) (exp y) (+ 1 y) (exp x) (+ (* (+ (* 1/2 x) 1) x) 1) (* (* x x) 1/2) (* x x) (exp y) (+ (* (+ (* 1/2 y) 1) y) 1) (+ (* 1/2 y) 1) (exp y) (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (+ (* (+ (* 1/6 y) 1/2) y) 1) (+ (* 1/6 y) 1/2))

simplify165.0ms (0.6%)

Memory
48.7MiB live, 48.7MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02311939
17831882
226861811
374751811
080301633
Stop Event
iter limit
node limit
Counts
252 → 248
Calls
Call 1
Inputs
(* 1/2 (pow x 2))
(+ (* 1/6 (* (pow x 3) y)) (* 1/2 (pow x 2)))
(+ (* 1/6 (* (pow x 3) y)) (* 1/2 (pow x 2)))
(+ (* 1/6 (* (pow x 3) y)) (* 1/2 (pow x 2)))
1
(+ 1 (* x y))
(+ 1 (* y (+ x (* 1/2 (* (pow x 2) y)))))
(+ 1 (* y (+ x (* y (+ (* 1/6 (* (pow x 3) y)) (* 1/2 (pow x 2)))))))
1
(+ 1 (* x y))
(+ 1 (* y (+ x (* 1/2 (* (pow x 2) y)))))
(+ 1 (* y (+ x (* y (+ (* 1/6 (* (pow x 3) y)) (* 1/2 (pow x 2)))))))
x
(+ x (* 1/2 (* (pow x 2) y)))
(+ x (* y (+ (* 1/6 (* (pow x 3) y)) (* 1/2 (pow x 2)))))
(+ x (* y (+ (* 1/6 (* (pow x 3) y)) (* 1/2 (pow x 2)))))
1
(+ 1 y)
(+ 1 (* y (+ 1 (* 1/2 y))))
(+ 1 (* y (+ 1 (* y (+ 1/2 (* 1/6 y))))))
1
(+ 1 y)
(+ 1 y)
(+ 1 y)
1
(+ 1 y)
(+ 1 (* y (+ 1 (* 1/2 y))))
(+ 1 (* y (+ 1 (* y (+ 1/2 (* 1/6 y))))))
1
(+ 1 y)
(+ 1 (* y (+ 1 (* 1/2 y))))
(+ 1 (* y (+ 1 (* 1/2 y))))
1
(+ 1 (* 1/2 y))
(+ 1 (* 1/2 y))
(+ 1 (* 1/2 y))
1
(+ 1 y)
(+ 1 (* y (+ 1 (* 1/2 y))))
(+ 1 (* y (+ 1 (* y (+ 1/2 (* 1/6 y))))))
1
(+ 1 y)
(+ 1 (* y (+ 1 (* 1/2 y))))
(+ 1 (* y (+ 1 (* y (+ 1/2 (* 1/6 y))))))
1
(+ 1 (* 1/2 y))
(+ 1 (* y (+ 1/2 (* 1/6 y))))
(+ 1 (* y (+ 1/2 (* 1/6 y))))
1/2
(+ 1/2 (* 1/6 y))
(+ 1/2 (* 1/6 y))
(+ 1/2 (* 1/6 y))
(* 1/6 (* (pow x 3) y))
(* y (+ (* 1/6 (pow x 3)) (* 1/2 (/ (pow x 2) y))))
(* y (+ (* 1/6 (pow x 3)) (* 1/2 (/ (pow x 2) y))))
(* y (+ (* 1/6 (pow x 3)) (* 1/2 (/ (pow x 2) y))))
(exp (* x y))
(exp (* x y))
(exp (* x y))
(exp (* x y))
(* 1/6 (* (pow x 3) (pow y 3)))
(* (pow y 3) (+ (* 1/6 (pow x 3)) (* 1/2 (/ (pow x 2) y))))
(* (pow y 3) (+ (* 1/6 (pow x 3)) (+ (* 1/2 (/ (pow x 2) y)) (/ x (pow y 2)))))
(* (pow y 3) (+ (* 1/6 (pow x 3)) (+ (* 1/2 (/ (pow x 2) y)) (+ (/ 1 (pow y 3)) (/ x (pow y 2))))))
(* 1/6 (* (pow x 3) (pow y 2)))
(* (pow y 2) (+ (* 1/6 (pow x 3)) (* 1/2 (/ (pow x 2) y))))
(* (pow y 2) (+ (* 1/6 (pow x 3)) (+ (* 1/2 (/ (pow x 2) y)) (/ x (pow y 2)))))
(* (pow y 2) (+ (* 1/6 (pow x 3)) (+ (* 1/2 (/ (pow x 2) y)) (/ x (pow y 2)))))
(exp y)
(exp y)
(exp y)
(exp y)
y
(* y (+ 1 (/ 1 y)))
(* y (+ 1 (/ 1 y)))
(* y (+ 1 (/ 1 y)))
(exp y)
(exp y)
(exp y)
(exp y)
(* 1/2 (pow y 2))
(* (pow y 2) (+ 1/2 (/ 1 y)))
(* (pow y 2) (+ 1/2 (+ (/ 1 y) (/ 1 (pow y 2)))))
(* (pow y 2) (+ 1/2 (+ (/ 1 y) (/ 1 (pow y 2)))))
(* 1/2 y)
(* y (+ 1/2 (/ 1 y)))
(* y (+ 1/2 (/ 1 y)))
(* y (+ 1/2 (/ 1 y)))
(exp y)
(exp y)
(exp y)
(exp 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 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 y)
(* y (+ 1/6 (* 1/2 (/ 1 y))))
(* y (+ 1/6 (* 1/2 (/ 1 y))))
(* y (+ 1/6 (* 1/2 (/ 1 y))))
(* 1/6 (* (pow x 3) y))
(* -1 (* y (+ (* -1/2 (/ (pow x 2) y)) (* -1/6 (pow x 3)))))
(* -1 (* y (+ (* -1/2 (/ (pow x 2) y)) (* -1/6 (pow x 3)))))
(* -1 (* y (+ (* -1/2 (/ (pow x 2) y)) (* -1/6 (pow x 3)))))
(exp (* x y))
(exp (* x y))
(exp (* x y))
(exp (* x y))
(* 1/6 (* (pow x 3) (pow y 3)))
(* -1 (* (pow y 3) (+ (* -1/2 (/ (pow x 2) y)) (* -1/6 (pow x 3)))))
(* -1 (* (pow y 3) (+ (* -1 (/ (+ (* 1/2 (pow x 2)) (/ x y)) y)) (* -1/6 (pow x 3)))))
(* -1 (* (pow y 3) (+ (* -1 (/ (+ (* -1 (/ (- (* -1 x) (/ 1 y)) y)) (* 1/2 (pow x 2))) y)) (* -1/6 (pow x 3)))))
(* 1/6 (* (pow x 3) (pow y 2)))
(* (pow y 2) (+ (* 1/6 (pow x 3)) (* 1/2 (/ (pow x 2) y))))
(* (pow y 2) (+ (* -1 (/ (+ (* -1 (/ x y)) (* -1/2 (pow x 2))) y)) (* 1/6 (pow x 3))))
(* (pow y 2) (+ (* -1 (/ (+ (* -1 (/ x y)) (* -1/2 (pow x 2))) y)) (* 1/6 (pow x 3))))
(exp y)
(exp y)
(exp y)
(exp y)
y
(* y (+ 1 (/ 1 y)))
(* y (+ 1 (/ 1 y)))
(* y (+ 1 (/ 1 y)))
(exp y)
(exp y)
(exp y)
(exp y)
(* 1/2 (pow y 2))
(* (pow y 2) (+ 1/2 (/ 1 y)))
(* (pow y 2) (+ 1/2 (+ (/ 1 y) (/ 1 (pow y 2)))))
(* (pow y 2) (+ 1/2 (+ (/ 1 y) (/ 1 (pow y 2)))))
(* 1/2 y)
(* y (+ 1/2 (/ 1 y)))
(* y (+ 1/2 (/ 1 y)))
(* y (+ 1/2 (/ 1 y)))
(exp y)
(exp y)
(exp y)
(exp y)
(* 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)))
(* 1/6 (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 y)
(* y (+ 1/6 (* 1/2 (/ 1 y))))
(* y (+ 1/6 (* 1/2 (/ 1 y))))
(* y (+ 1/6 (* 1/2 (/ 1 y))))
(* 1/2 (pow x 2))
(* (pow x 2) (+ 1/2 (* 1/6 (* x y))))
(* (pow x 2) (+ 1/2 (* 1/6 (* x y))))
(* (pow x 2) (+ 1/2 (* 1/6 (* x y))))
1
(+ 1 (* x y))
(+ 1 (* x (+ y (* 1/2 (* x (pow y 2))))))
(+ 1 (* x (+ y (* x (+ (* 1/6 (* x (pow y 3))) (* 1/2 (pow y 2)))))))
1
(+ 1 (* x y))
(+ 1 (* x (+ y (* 1/2 (* x (pow y 2))))))
(+ 1 (* x (+ y (* x (+ (* 1/6 (* x (pow y 3))) (* 1/2 (pow y 2)))))))
x
(* x (+ 1 (* 1/2 (* x y))))
(* x (+ 1 (* x (+ (* 1/6 (* x (pow y 2))) (* 1/2 y)))))
(* x (+ 1 (* x (+ (* 1/6 (* x (pow y 2))) (* 1/2 y)))))
1
(+ 1 x)
(+ 1 (* x (+ 1 (* 1/2 x))))
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))
1
(+ 1 x)
(+ 1 (* x (+ 1 (* 1/2 x))))
(+ 1 (* x (+ 1 (* 1/2 x))))
(* 1/2 (pow x 2))
(* 1/2 (pow x 2))
(* 1/2 (pow x 2))
(* 1/2 (pow x 2))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(* 1/6 (* (pow x 3) y))
(* (pow x 3) (+ (* 1/6 y) (* 1/2 (/ 1 x))))
(* (pow x 3) (+ (* 1/6 y) (* 1/2 (/ 1 x))))
(* (pow x 3) (+ (* 1/6 y) (* 1/2 (/ 1 x))))
(exp (* x y))
(exp (* x y))
(exp (* x y))
(exp (* x y))
(* 1/6 (* (pow x 3) (pow y 3)))
(* (pow x 3) (+ (* 1/6 (pow y 3)) (* 1/2 (/ (pow y 2) x))))
(* (pow x 3) (+ (* 1/6 (pow y 3)) (+ (* 1/2 (/ (pow y 2) x)) (/ y (pow x 2)))))
(* (pow x 3) (+ (* 1/6 (pow y 3)) (+ (* 1/2 (/ (pow y 2) x)) (+ (/ 1 (pow x 3)) (/ y (pow x 2))))))
(* 1/6 (* (pow x 3) (pow y 2)))
(* (pow x 3) (+ (* 1/6 (pow y 2)) (* 1/2 (/ y x))))
(* (pow x 3) (+ (* 1/6 (pow y 2)) (+ (* 1/2 (/ y x)) (/ 1 (pow x 2)))))
(* (pow x 3) (+ (* 1/6 (pow y 2)) (+ (* 1/2 (/ y x)) (/ 1 (pow x 2)))))
(exp x)
(exp x)
(exp x)
(exp x)
(* 1/2 (pow x 2))
(* (pow x 2) (+ 1/2 (/ 1 x)))
(* (pow x 2) (+ 1/2 (+ (/ 1 x) (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/2 (+ (/ 1 x) (/ 1 (pow x 2)))))
(* 1/2 (pow x 2))
(* 1/2 (pow x 2))
(* 1/2 (pow x 2))
(* 1/2 (pow x 2))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(* 1/6 (* (pow x 3) y))
(* -1 (* (pow x 3) (- (* -1/6 y) (* 1/2 (/ 1 x)))))
(* -1 (* (pow x 3) (- (* -1/6 y) (* 1/2 (/ 1 x)))))
(* -1 (* (pow x 3) (- (* -1/6 y) (* 1/2 (/ 1 x)))))
(exp (* x y))
(exp (* x y))
(exp (* x y))
(exp (* x y))
(* 1/6 (* (pow x 3) (pow y 3)))
(* -1 (* (pow x 3) (+ (* -1/2 (/ (pow y 2) x)) (* -1/6 (pow y 3)))))
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* 1/2 (pow y 2)) (/ y x)) x)) (* -1/6 (pow y 3)))))
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* -1 (/ (- (* -1 y) (/ 1 x)) x)) (* 1/2 (pow y 2))) x)) (* -1/6 (pow y 3)))))
(* 1/6 (* (pow x 3) (pow y 2)))
(* -1 (* (pow x 3) (+ (* -1/2 (/ y x)) (* -1/6 (pow y 2)))))
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* 1/2 y) (/ 1 x)) x)) (* -1/6 (pow y 2)))))
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* 1/2 y) (/ 1 x)) x)) (* -1/6 (pow y 2)))))
(exp x)
(exp x)
(exp x)
(exp x)
(* 1/2 (pow x 2))
(* (pow x 2) (+ 1/2 (/ 1 x)))
(* (pow x 2) (+ 1/2 (+ (/ 1 x) (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/2 (+ (/ 1 x) (/ 1 (pow x 2)))))
(* 1/2 (pow x 2))
(* 1/2 (pow x 2))
(* 1/2 (pow x 2))
(* 1/2 (pow x 2))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
Outputs
(* 1/2 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/2 binary64))
(+ (* 1/6 (* (pow x 3) y)) (* 1/2 (pow x 2)))
(*.f64 (*.f64 (fma.f64 (*.f64 y #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x) x)
(+ (* 1/6 (* (pow x 3) y)) (* 1/2 (pow x 2)))
(*.f64 (*.f64 (fma.f64 (*.f64 y #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x) x)
(+ (* 1/6 (* (pow x 3) y)) (* 1/2 (pow x 2)))
(*.f64 (*.f64 (fma.f64 (*.f64 y #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x) x)
1
#s(literal 1 binary64)
(+ 1 (* x y))
(fma.f64 y x #s(literal 1 binary64))
(+ 1 (* y (+ x (* 1/2 (* (pow x 2) y)))))
(fma.f64 (fma.f64 (*.f64 (*.f64 y x) x) #s(literal 1/2 binary64) x) y #s(literal 1 binary64))
(+ 1 (* y (+ x (* y (+ (* 1/6 (* (pow x 3) y)) (* 1/2 (pow x 2)))))))
(fma.f64 (*.f64 (fma.f64 (*.f64 y (fma.f64 (*.f64 y #s(literal 1/6 binary64)) x #s(literal 1/2 binary64))) x #s(literal 1 binary64)) x) y #s(literal 1 binary64))
1
#s(literal 1 binary64)
(+ 1 (* x y))
(fma.f64 y x #s(literal 1 binary64))
(+ 1 (* y (+ x (* 1/2 (* (pow x 2) y)))))
(fma.f64 (fma.f64 (*.f64 (*.f64 y x) x) #s(literal 1/2 binary64) x) y #s(literal 1 binary64))
(+ 1 (* y (+ x (* y (+ (* 1/6 (* (pow x 3) y)) (* 1/2 (pow x 2)))))))
(fma.f64 (*.f64 (fma.f64 (*.f64 y (fma.f64 (*.f64 y #s(literal 1/6 binary64)) x #s(literal 1/2 binary64))) x #s(literal 1 binary64)) x) y #s(literal 1 binary64))
x
(+ x (* 1/2 (* (pow x 2) y)))
(fma.f64 (*.f64 (*.f64 y x) x) #s(literal 1/2 binary64) x)
(+ x (* y (+ (* 1/6 (* (pow x 3) y)) (* 1/2 (pow x 2)))))
(*.f64 (fma.f64 (*.f64 y (fma.f64 (*.f64 y #s(literal 1/6 binary64)) x #s(literal 1/2 binary64))) x #s(literal 1 binary64)) x)
(+ x (* y (+ (* 1/6 (* (pow x 3) y)) (* 1/2 (pow x 2)))))
(*.f64 (fma.f64 (*.f64 y (fma.f64 (*.f64 y #s(literal 1/6 binary64)) x #s(literal 1/2 binary64))) x #s(literal 1 binary64)) x)
1
#s(literal 1 binary64)
(+ 1 y)
(+.f64 #s(literal 1 binary64) y)
(+ 1 (* y (+ 1 (* 1/2 y))))
(fma.f64 (fma.f64 y #s(literal 1/2 binary64) #s(literal 1 binary64)) y #s(literal 1 binary64))
(+ 1 (* y (+ 1 (* y (+ 1/2 (* 1/6 y))))))
(fma.f64 (fma.f64 (fma.f64 y #s(literal 1/6 binary64) #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y #s(literal 1 binary64))
1
#s(literal 1 binary64)
(+ 1 y)
(+.f64 #s(literal 1 binary64) y)
(+ 1 y)
(+.f64 #s(literal 1 binary64) y)
(+ 1 y)
(+.f64 #s(literal 1 binary64) y)
1
#s(literal 1 binary64)
(+ 1 y)
(+.f64 #s(literal 1 binary64) y)
(+ 1 (* y (+ 1 (* 1/2 y))))
(fma.f64 (fma.f64 y #s(literal 1/2 binary64) #s(literal 1 binary64)) y #s(literal 1 binary64))
(+ 1 (* y (+ 1 (* y (+ 1/2 (* 1/6 y))))))
(fma.f64 (fma.f64 (fma.f64 y #s(literal 1/6 binary64) #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y #s(literal 1 binary64))
1
#s(literal 1 binary64)
(+ 1 y)
(+.f64 #s(literal 1 binary64) y)
(+ 1 (* y (+ 1 (* 1/2 y))))
(fma.f64 (fma.f64 y #s(literal 1/2 binary64) #s(literal 1 binary64)) y #s(literal 1 binary64))
(+ 1 (* y (+ 1 (* 1/2 y))))
(fma.f64 (fma.f64 y #s(literal 1/2 binary64) #s(literal 1 binary64)) y #s(literal 1 binary64))
1
#s(literal 1 binary64)
(+ 1 (* 1/2 y))
(fma.f64 y #s(literal 1/2 binary64) #s(literal 1 binary64))
(+ 1 (* 1/2 y))
(fma.f64 y #s(literal 1/2 binary64) #s(literal 1 binary64))
(+ 1 (* 1/2 y))
(fma.f64 y #s(literal 1/2 binary64) #s(literal 1 binary64))
1
#s(literal 1 binary64)
(+ 1 y)
(+.f64 #s(literal 1 binary64) y)
(+ 1 (* y (+ 1 (* 1/2 y))))
(fma.f64 (fma.f64 y #s(literal 1/2 binary64) #s(literal 1 binary64)) y #s(literal 1 binary64))
(+ 1 (* y (+ 1 (* y (+ 1/2 (* 1/6 y))))))
(fma.f64 (fma.f64 (fma.f64 y #s(literal 1/6 binary64) #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y #s(literal 1 binary64))
1
#s(literal 1 binary64)
(+ 1 y)
(+.f64 #s(literal 1 binary64) y)
(+ 1 (* y (+ 1 (* 1/2 y))))
(fma.f64 (fma.f64 y #s(literal 1/2 binary64) #s(literal 1 binary64)) y #s(literal 1 binary64))
(+ 1 (* y (+ 1 (* y (+ 1/2 (* 1/6 y))))))
(fma.f64 (fma.f64 (fma.f64 y #s(literal 1/6 binary64) #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y #s(literal 1 binary64))
1
#s(literal 1 binary64)
(+ 1 (* 1/2 y))
(fma.f64 y #s(literal 1/2 binary64) #s(literal 1 binary64))
(+ 1 (* y (+ 1/2 (* 1/6 y))))
(fma.f64 (fma.f64 y #s(literal 1/6 binary64) #s(literal 1/2 binary64)) y #s(literal 1 binary64))
(+ 1 (* y (+ 1/2 (* 1/6 y))))
(fma.f64 (fma.f64 y #s(literal 1/6 binary64) #s(literal 1/2 binary64)) y #s(literal 1 binary64))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* 1/6 y))
(fma.f64 y #s(literal 1/6 binary64) #s(literal 1/2 binary64))
(+ 1/2 (* 1/6 y))
(fma.f64 y #s(literal 1/6 binary64) #s(literal 1/2 binary64))
(+ 1/2 (* 1/6 y))
(fma.f64 y #s(literal 1/6 binary64) #s(literal 1/2 binary64))
(* 1/6 (* (pow x 3) y))
(*.f64 (*.f64 y (pow.f64 x #s(literal 3 binary64))) #s(literal 1/6 binary64))
(* y (+ (* 1/6 (pow x 3)) (* 1/2 (/ (pow x 2) y))))
(*.f64 (*.f64 (fma.f64 (*.f64 y #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x) x)
(* y (+ (* 1/6 (pow x 3)) (* 1/2 (/ (pow x 2) y))))
(*.f64 (*.f64 (fma.f64 (*.f64 y #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x) x)
(* y (+ (* 1/6 (pow x 3)) (* 1/2 (/ (pow x 2) y))))
(*.f64 (*.f64 (fma.f64 (*.f64 y #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x) x)
(exp (* x y))
(pow.f64 (exp.f64 x) y)
(exp (* x y))
(pow.f64 (exp.f64 x) y)
(exp (* x y))
(pow.f64 (exp.f64 x) y)
(exp (* x y))
(pow.f64 (exp.f64 x) y)
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(*.f64 (*.f64 (*.f64 y y) (fma.f64 y #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) x))) (pow.f64 x #s(literal 3 binary64)))
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* 1/2 (pow y 2)) (/ y x)) x)) (* -1/6 (pow y 3)))))
(*.f64 (neg.f64 (fma.f64 #s(literal -1/6 binary64) (pow.f64 y #s(literal 3 binary64)) (/.f64 (fma.f64 (*.f64 y y) #s(literal 1/2 binary64) (/.f64 y x)) (neg.f64 x)))) (pow.f64 x #s(literal 3 binary64)))
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* -1 (/ (- (* -1 y) (/ 1 x)) x)) (* 1/2 (pow y 2))) x)) (* -1/6 (pow y 3)))))
(*.f64 (neg.f64 (fma.f64 #s(literal -1/6 binary64) (pow.f64 y #s(literal 3 binary64)) (/.f64 (fma.f64 (*.f64 y y) #s(literal 1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) y) x)) (neg.f64 x)))) (pow.f64 x #s(literal 3 binary64)))
(* 1/6 (* (pow x 3) (pow y 2)))
(*.f64 (*.f64 (*.f64 y (pow.f64 x #s(literal 3 binary64))) y) #s(literal 1/6 binary64))
(* -1 (* (pow x 3) (+ (* -1/2 (/ y x)) (* -1/6 (pow y 2)))))
(*.f64 (*.f64 y (fma.f64 y #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) x))) (pow.f64 x #s(literal 3 binary64)))
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* 1/2 y) (/ 1 x)) x)) (* -1/6 (pow y 2)))))
(*.f64 (neg.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) y) y (/.f64 (fma.f64 y #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (neg.f64 x)))) (pow.f64 x #s(literal 3 binary64)))
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* 1/2 y) (/ 1 x)) x)) (* -1/6 (pow y 2)))))
(*.f64 (neg.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) y) y (/.f64 (fma.f64 y #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (neg.f64 x)))) (pow.f64 x #s(literal 3 binary64)))
(exp x)
(exp.f64 x)
(exp x)
(exp.f64 x)
(exp x)
(exp.f64 x)
(exp x)
(exp.f64 x)
(* 1/2 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/2 binary64))
(* (pow x 2) (+ 1/2 (/ 1 x)))
(*.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) x)
(* (pow x 2) (+ 1/2 (+ (/ 1 x) (/ 1 (pow x 2)))))
(fma.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) x #s(literal 1 binary64))
(* (pow x 2) (+ 1/2 (+ (/ 1 x) (/ 1 (pow x 2)))))
(fma.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) x #s(literal 1 binary64))
(* 1/2 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/2 binary64))
(* 1/2 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/2 binary64))
(* 1/2 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/2 binary64))
(* 1/2 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/2 binary64))
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)

rewrite150.0ms (0.5%)

Memory
53.3MiB live, 53.3MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
034181
057181
1215169
21614169
08307161
Stop Event
iter limit
node limit
iter limit
Counts
17 → 386
Calls
Call 1
Inputs
(fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y x) (*.f64 x x)) (*.f64 (*.f64 #s(literal 1/2 binary64) x) x))
#s(approx (exp (* x y)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y x) (*.f64 x x)) (*.f64 (*.f64 #s(literal 1/2 binary64) x) x)) y x) y #s(literal 1 binary64)))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y x) (*.f64 x x)) (*.f64 (*.f64 #s(literal 1/2 binary64) x) x)) y x) y #s(literal 1 binary64))
(fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y x) (*.f64 x x)) (*.f64 (*.f64 #s(literal 1/2 binary64) x) x)) y x)
#s(approx (exp y) (+.f64 #s(literal 1 binary64) y))
(+.f64 #s(literal 1 binary64) y)
#s(approx (exp x) #s(approx (+ (* (+ (* 1/2 x) 1) x) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))))
#s(approx (+ (* (+ (* 1/2 x) 1) x) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))
(*.f64 (*.f64 x x) #s(literal 1/2 binary64))
(*.f64 x x)
#s(approx (exp y) (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal 1 binary64)) y #s(literal 1 binary64)))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal 1 binary64)) y #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 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))
(fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64))
Outputs
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eval87.0ms (0.3%)

Memory
56.3MiB live, 56.3MiB allocated
Compiler

Compiled 14 819 to 1 956 computations (86.8% saved)

prune40.0ms (0.1%)

Memory
37.4MiB live, 37.4MiB allocated
Pruning

20 alts after pruning (10 fresh and 10 done)

PrunedKeptTotal
New6466652
Fresh246
Picked235
Done077
Total65020670
Accuracy
100.0%
Counts
670 → 20
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(exp.f64 (*.f64 (*.f64 x y) y))
87.6%
(exp.f64 (*.f64 x y))
68.2%
(exp.f64 y)
60.7%
(exp.f64 x)
65.0%
#s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 y x) y #s(literal 1 binary64)))
20.8%
#s(approx (exp (* (* x y) y)) #s(approx (+ (* (* y x) y) 1) (*.f64 (*.f64 y y) x)))
49.6%
#s(approx (exp (* (* x y) y)) #s(literal 1 binary64))
64.6%
#s(approx (exp (* x y)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y x) (*.f64 x x)) (*.f64 (*.f64 #s(literal 1/2 binary64) x) x)) y x) y #s(literal 1 binary64)))
61.2%
#s(approx (exp (* x y)) (fma.f64 (fma.f64 (*.f64 (*.f64 y x) x) #s(literal 1/2 binary64) x) y #s(literal 1 binary64)))
27.5%
#s(approx (exp (* x y)) #s(approx (+ (* (+ (* (+ (* 1/6 (* (* y x) (* x x))) (* (* 1/2 x) x)) y) x) y) 1) (*.f64 (*.f64 (*.f64 (*.f64 y (fma.f64 (*.f64 y #s(literal 1/6 binary64)) x #s(literal 1/2 binary64))) x) x) y)))
11.0%
#s(approx (exp (* x y)) #s(approx (+ (* y x) 1) (*.f64 y x)))
62.9%
#s(approx (exp y) (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 y y) #s(literal -1/4 binary64)) (fma.f64 y #s(literal 1/6 binary64) #s(literal -1/2 binary64))) y #s(literal 1 binary64)) y #s(literal 1 binary64)))
62.9%
#s(approx (exp y) (fma.f64 (fma.f64 (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/36 binary64) (*.f64 y y))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 y #s(literal 1/6 binary64))))) y #s(literal 1 binary64)) y #s(literal 1 binary64)))
45.8%
#s(approx (exp y) (+.f64 #s(literal 1 binary64) y))
21.2%
#s(approx (exp y) #s(approx (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (*.f64 (*.f64 (fma.f64 y #s(literal 1/6 binary64) #s(literal 1/2 binary64)) y) y)))
18.3%
#s(approx (exp y) #s(approx (+ (* (+ (* 1/2 y) 1) y) 1) (*.f64 (*.f64 y y) #s(literal 1/2 binary64))))
33.2%
#s(approx (exp x) (+.f64 #s(literal 1 binary64) x))
25.0%
#s(approx (exp x) #s(approx (+ (* (+ (* (+ (* 1/6 x) 1/2) x) 1) x) 1) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64))))
23.7%
#s(approx (exp x) #s(approx (+ (* (+ (* (+ (* 1/6 x) 1/2) x) 1) x) 1) (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x) x)))
21.5%
#s(approx (exp x) #s(approx (+ (* (+ (* 1/2 x) 1) x) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))))
Compiler

Compiled 435 to 268 computations (38.4% saved)

regimes34.0ms (0.1%)

Memory
14.9MiB live, 14.9MiB allocated
Counts
28 → 1
Calls
Call 1
Inputs
#s(approx (exp (* (* x y) y)) #s(literal 1 binary64))
#s(approx (exp x) (+.f64 #s(literal 1 binary64) x))
#s(approx (exp y) (+.f64 #s(literal 1 binary64) y))
#s(approx (exp (* x y)) #s(approx (+ (* y x) 1) (*.f64 y x)))
#s(approx (exp (* x y)) (fma.f64 y x #s(literal 1 binary64)))
#s(approx (exp x) #s(approx (+ (* (+ (* 1/2 x) 1) x) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))))
#s(approx (exp y) #s(approx (+ (* (+ (* 1/2 y) 1) y) 1) (*.f64 (*.f64 y y) #s(literal 1/2 binary64))))
#s(approx (exp (* (* x y) y)) #s(approx (+ (* (* y x) y) 1) (*.f64 (*.f64 y y) x)))
#s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 y x) y #s(literal 1 binary64)))
#s(approx (exp x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64)))
#s(approx (exp y) (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal 1 binary64)) y #s(literal 1 binary64)))
#s(approx (exp x) #s(approx (+ (* (+ (* (+ (* 1/6 x) 1/2) x) 1) x) 1) (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x) x)))
#s(approx (exp y) #s(approx (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (*.f64 (*.f64 (fma.f64 y #s(literal 1/6 binary64) #s(literal 1/2 binary64)) y) y)))
#s(approx (exp x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #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)))
#s(approx (exp (* x y)) (fma.f64 (fma.f64 (*.f64 (*.f64 x x) y) #s(literal 1/2 binary64) x) y #s(literal 1 binary64)))
#s(approx (exp (* x y)) (fma.f64 (fma.f64 (*.f64 (*.f64 y x) x) #s(literal 1/2 binary64) x) y #s(literal 1 binary64)))
#s(approx (exp (* x y)) #s(approx (+ (* (+ (* (+ (* 1/6 (* (* y x) (* x x))) (* (* 1/2 x) x)) y) x) y) 1) (*.f64 (*.f64 (*.f64 (*.f64 y (fma.f64 (*.f64 y #s(literal 1/6 binary64)) x #s(literal 1/2 binary64))) x) x) y)))
#s(approx (exp (* x y)) #s(approx (+ (* (+ (* (* (* x x) (+ (* (* 1/6 x) y) 1/2)) y) x) y) 1) (*.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y x) #s(literal 1/2 binary64)) x) x) y x) y)))
#s(approx (exp (* x y)) (fma.f64 (fma.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/6 binary64) x) y #s(literal 1/2 binary64))) y x) y #s(literal 1 binary64)))
#s(approx (exp y) (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 y y) #s(literal -1/4 binary64)) (fma.f64 y #s(literal 1/6 binary64) #s(literal -1/2 binary64))) y #s(literal 1 binary64)) y #s(literal 1 binary64)))
#s(approx (exp (* x y)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y x) (*.f64 x x)) (*.f64 (*.f64 #s(literal 1/2 binary64) x) x)) y x) y #s(literal 1 binary64)))
#s(approx (exp y) (fma.f64 (fma.f64 (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/36 binary64) (*.f64 y y))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 y #s(literal 1/6 binary64))))) y #s(literal 1 binary64)) y #s(literal 1 binary64)))
(exp.f64 x)
(exp.f64 y)
(exp.f64 (*.f64 x y))
#s(approx (exp x) #s(approx (+ (* (+ (* (+ (* 1/6 x) 1/2) x) 1) x) 1) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64))))
(exp.f64 (*.f64 (*.f64 x y) y))
Outputs
(exp.f64 (*.f64 (*.f64 x y) y))
Calls

4 calls:

9.0ms
x
9.0ms
y
8.0ms
(*.f64 (*.f64 x y) y)
7.0ms
(exp.f64 (*.f64 (*.f64 x y) y))
Results
AccuracySegmentsBranch
100.0%1x
100.0%1y
100.0%1(exp.f64 (*.f64 (*.f64 x y) y))
100.0%1(*.f64 (*.f64 x y) y)
Compiler

Compiled 13 to 13 computations (0% saved)

regimes33.0ms (0.1%)

Memory
14.6MiB live, 14.6MiB allocated
Counts
27 → 2
Calls
Call 1
Inputs
#s(approx (exp (* (* x y) y)) #s(literal 1 binary64))
#s(approx (exp x) (+.f64 #s(literal 1 binary64) x))
#s(approx (exp y) (+.f64 #s(literal 1 binary64) y))
#s(approx (exp (* x y)) #s(approx (+ (* y x) 1) (*.f64 y x)))
#s(approx (exp (* x y)) (fma.f64 y x #s(literal 1 binary64)))
#s(approx (exp x) #s(approx (+ (* (+ (* 1/2 x) 1) x) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))))
#s(approx (exp y) #s(approx (+ (* (+ (* 1/2 y) 1) y) 1) (*.f64 (*.f64 y y) #s(literal 1/2 binary64))))
#s(approx (exp (* (* x y) y)) #s(approx (+ (* (* y x) y) 1) (*.f64 (*.f64 y y) x)))
#s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 y x) y #s(literal 1 binary64)))
#s(approx (exp x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64)))
#s(approx (exp y) (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal 1 binary64)) y #s(literal 1 binary64)))
#s(approx (exp x) #s(approx (+ (* (+ (* (+ (* 1/6 x) 1/2) x) 1) x) 1) (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x) x)))
#s(approx (exp y) #s(approx (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (*.f64 (*.f64 (fma.f64 y #s(literal 1/6 binary64) #s(literal 1/2 binary64)) y) y)))
#s(approx (exp x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #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)))
#s(approx (exp (* x y)) (fma.f64 (fma.f64 (*.f64 (*.f64 x x) y) #s(literal 1/2 binary64) x) y #s(literal 1 binary64)))
#s(approx (exp (* x y)) (fma.f64 (fma.f64 (*.f64 (*.f64 y x) x) #s(literal 1/2 binary64) x) y #s(literal 1 binary64)))
#s(approx (exp (* x y)) #s(approx (+ (* (+ (* (+ (* 1/6 (* (* y x) (* x x))) (* (* 1/2 x) x)) y) x) y) 1) (*.f64 (*.f64 (*.f64 (*.f64 y (fma.f64 (*.f64 y #s(literal 1/6 binary64)) x #s(literal 1/2 binary64))) x) x) y)))
#s(approx (exp (* x y)) #s(approx (+ (* (+ (* (* (* x x) (+ (* (* 1/6 x) y) 1/2)) y) x) y) 1) (*.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y x) #s(literal 1/2 binary64)) x) x) y x) y)))
#s(approx (exp (* x y)) (fma.f64 (fma.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/6 binary64) x) y #s(literal 1/2 binary64))) y x) y #s(literal 1 binary64)))
#s(approx (exp y) (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 y y) #s(literal -1/4 binary64)) (fma.f64 y #s(literal 1/6 binary64) #s(literal -1/2 binary64))) y #s(literal 1 binary64)) y #s(literal 1 binary64)))
#s(approx (exp (* x y)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y x) (*.f64 x x)) (*.f64 (*.f64 #s(literal 1/2 binary64) x) x)) y x) y #s(literal 1 binary64)))
#s(approx (exp y) (fma.f64 (fma.f64 (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/36 binary64) (*.f64 y y))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 y #s(literal 1/6 binary64))))) y #s(literal 1 binary64)) y #s(literal 1 binary64)))
(exp.f64 x)
(exp.f64 y)
(exp.f64 (*.f64 x y))
#s(approx (exp x) #s(approx (+ (* (+ (* (+ (* 1/6 x) 1/2) x) 1) x) 1) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64))))
Outputs
#s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 y x) y #s(literal 1 binary64)))
(exp.f64 (*.f64 x y))
Calls

4 calls:

8.0ms
y
8.0ms
x
8.0ms
(*.f64 (*.f64 x y) y)
7.0ms
(exp.f64 (*.f64 (*.f64 x y) y))
Results
AccuracySegmentsBranch
87.6%1x
92.7%2y
94.0%3(exp.f64 (*.f64 (*.f64 x y) y))
94.0%3(*.f64 (*.f64 x y) y)
Compiler

Compiled 13 to 13 computations (0% saved)

regimes31.0ms (0.1%)

Memory
14.0MiB live, 14.0MiB allocated
Counts
25 → 4
Calls
Call 1
Inputs
#s(approx (exp (* (* x y) y)) #s(literal 1 binary64))
#s(approx (exp x) (+.f64 #s(literal 1 binary64) x))
#s(approx (exp y) (+.f64 #s(literal 1 binary64) y))
#s(approx (exp (* x y)) #s(approx (+ (* y x) 1) (*.f64 y x)))
#s(approx (exp (* x y)) (fma.f64 y x #s(literal 1 binary64)))
#s(approx (exp x) #s(approx (+ (* (+ (* 1/2 x) 1) x) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))))
#s(approx (exp y) #s(approx (+ (* (+ (* 1/2 y) 1) y) 1) (*.f64 (*.f64 y y) #s(literal 1/2 binary64))))
#s(approx (exp (* (* x y) y)) #s(approx (+ (* (* y x) y) 1) (*.f64 (*.f64 y y) x)))
#s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 y x) y #s(literal 1 binary64)))
#s(approx (exp x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64)))
#s(approx (exp y) (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal 1 binary64)) y #s(literal 1 binary64)))
#s(approx (exp x) #s(approx (+ (* (+ (* (+ (* 1/6 x) 1/2) x) 1) x) 1) (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x) x)))
#s(approx (exp y) #s(approx (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (*.f64 (*.f64 (fma.f64 y #s(literal 1/6 binary64) #s(literal 1/2 binary64)) y) y)))
#s(approx (exp x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #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)))
#s(approx (exp (* x y)) (fma.f64 (fma.f64 (*.f64 (*.f64 x x) y) #s(literal 1/2 binary64) x) y #s(literal 1 binary64)))
#s(approx (exp (* x y)) (fma.f64 (fma.f64 (*.f64 (*.f64 y x) x) #s(literal 1/2 binary64) x) y #s(literal 1 binary64)))
#s(approx (exp (* x y)) #s(approx (+ (* (+ (* (+ (* 1/6 (* (* y x) (* x x))) (* (* 1/2 x) x)) y) x) y) 1) (*.f64 (*.f64 (*.f64 (*.f64 y (fma.f64 (*.f64 y #s(literal 1/6 binary64)) x #s(literal 1/2 binary64))) x) x) y)))
#s(approx (exp (* x y)) #s(approx (+ (* (+ (* (* (* x x) (+ (* (* 1/6 x) y) 1/2)) y) x) y) 1) (*.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y x) #s(literal 1/2 binary64)) x) x) y x) y)))
#s(approx (exp (* x y)) (fma.f64 (fma.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/6 binary64) x) y #s(literal 1/2 binary64))) y x) y #s(literal 1 binary64)))
#s(approx (exp y) (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 y y) #s(literal -1/4 binary64)) (fma.f64 y #s(literal 1/6 binary64) #s(literal -1/2 binary64))) y #s(literal 1 binary64)) y #s(literal 1 binary64)))
#s(approx (exp (* x y)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y x) (*.f64 x x)) (*.f64 (*.f64 #s(literal 1/2 binary64) x) x)) y x) y #s(literal 1 binary64)))
#s(approx (exp y) (fma.f64 (fma.f64 (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/36 binary64) (*.f64 y y))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 y #s(literal 1/6 binary64))))) y #s(literal 1 binary64)) y #s(literal 1 binary64)))
(exp.f64 x)
(exp.f64 y)
Outputs
(exp.f64 x)
#s(approx (exp x) #s(approx (+ (* (+ (* 1/2 x) 1) x) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))))
#s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 y x) y #s(literal 1 binary64)))
#s(approx (exp (* x y)) #s(approx (+ (* (+ (* (+ (* 1/6 (* (* y x) (* x x))) (* (* 1/2 x) x)) y) x) y) 1) (*.f64 (*.f64 (*.f64 (*.f64 y (fma.f64 (*.f64 y #s(literal 1/6 binary64)) x #s(literal 1/2 binary64))) x) x) y)))
Calls

4 calls:

8.0ms
y
8.0ms
x
7.0ms
(*.f64 (*.f64 x y) y)
6.0ms
(exp.f64 (*.f64 (*.f64 x y) y))
Results
AccuracySegmentsBranch
74.9%3x
82.4%3(exp.f64 (*.f64 (*.f64 x y) y))
86.2%4(*.f64 (*.f64 x y) y)
78.3%3y
Compiler

Compiled 13 to 13 computations (0% saved)

regimes14.0ms (0.1%)

Memory
6.9MiB live, 6.9MiB allocated
Counts
23 → 3
Calls
Call 1
Inputs
#s(approx (exp (* (* x y) y)) #s(literal 1 binary64))
#s(approx (exp x) (+.f64 #s(literal 1 binary64) x))
#s(approx (exp y) (+.f64 #s(literal 1 binary64) y))
#s(approx (exp (* x y)) #s(approx (+ (* y x) 1) (*.f64 y x)))
#s(approx (exp (* x y)) (fma.f64 y x #s(literal 1 binary64)))
#s(approx (exp x) #s(approx (+ (* (+ (* 1/2 x) 1) x) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))))
#s(approx (exp y) #s(approx (+ (* (+ (* 1/2 y) 1) y) 1) (*.f64 (*.f64 y y) #s(literal 1/2 binary64))))
#s(approx (exp (* (* x y) y)) #s(approx (+ (* (* y x) y) 1) (*.f64 (*.f64 y y) x)))
#s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 y x) y #s(literal 1 binary64)))
#s(approx (exp x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64)))
#s(approx (exp y) (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal 1 binary64)) y #s(literal 1 binary64)))
#s(approx (exp x) #s(approx (+ (* (+ (* (+ (* 1/6 x) 1/2) x) 1) x) 1) (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x) x)))
#s(approx (exp y) #s(approx (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (*.f64 (*.f64 (fma.f64 y #s(literal 1/6 binary64) #s(literal 1/2 binary64)) y) y)))
#s(approx (exp x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #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)))
#s(approx (exp (* x y)) (fma.f64 (fma.f64 (*.f64 (*.f64 x x) y) #s(literal 1/2 binary64) x) y #s(literal 1 binary64)))
#s(approx (exp (* x y)) (fma.f64 (fma.f64 (*.f64 (*.f64 y x) x) #s(literal 1/2 binary64) x) y #s(literal 1 binary64)))
#s(approx (exp (* x y)) #s(approx (+ (* (+ (* (+ (* 1/6 (* (* y x) (* x x))) (* (* 1/2 x) x)) y) x) y) 1) (*.f64 (*.f64 (*.f64 (*.f64 y (fma.f64 (*.f64 y #s(literal 1/6 binary64)) x #s(literal 1/2 binary64))) x) x) y)))
#s(approx (exp (* x y)) #s(approx (+ (* (+ (* (* (* x x) (+ (* (* 1/6 x) y) 1/2)) y) x) y) 1) (*.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y x) #s(literal 1/2 binary64)) x) x) y x) y)))
#s(approx (exp (* x y)) (fma.f64 (fma.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/6 binary64) x) y #s(literal 1/2 binary64))) y x) y #s(literal 1 binary64)))
#s(approx (exp y) (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 y y) #s(literal -1/4 binary64)) (fma.f64 y #s(literal 1/6 binary64) #s(literal -1/2 binary64))) y #s(literal 1 binary64)) y #s(literal 1 binary64)))
#s(approx (exp (* x y)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y x) (*.f64 x x)) (*.f64 (*.f64 #s(literal 1/2 binary64) x) x)) y x) y #s(literal 1 binary64)))
#s(approx (exp y) (fma.f64 (fma.f64 (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/36 binary64) (*.f64 y y))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 y #s(literal 1/6 binary64))))) y #s(literal 1 binary64)) y #s(literal 1 binary64)))
Outputs
#s(approx (exp x) #s(approx (+ (* (+ (* 1/2 x) 1) x) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))))
#s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 y x) y #s(literal 1 binary64)))
#s(approx (exp (* x y)) #s(approx (+ (* (+ (* (+ (* 1/6 (* (* y x) (* x x))) (* (* 1/2 x) x)) y) x) y) 1) (*.f64 (*.f64 (*.f64 (*.f64 y (fma.f64 (*.f64 y #s(literal 1/6 binary64)) x #s(literal 1/2 binary64))) x) x) y)))
Calls

2 calls:

7.0ms
(*.f64 (*.f64 x y) y)
6.0ms
(exp.f64 (*.f64 (*.f64 x y) y))
Results
AccuracySegmentsBranch
78.6%3(exp.f64 (*.f64 (*.f64 x y) y))
78.6%3(*.f64 (*.f64 x y) y)
Compiler

Compiled 11 to 9 computations (18.2% saved)

regimes17.0ms (0.1%)

Memory
8.4MiB live, 8.4MiB allocated
Counts
17 → 4
Calls
Call 1
Inputs
#s(approx (exp (* (* x y) y)) #s(literal 1 binary64))
#s(approx (exp x) (+.f64 #s(literal 1 binary64) x))
#s(approx (exp y) (+.f64 #s(literal 1 binary64) y))
#s(approx (exp (* x y)) #s(approx (+ (* y x) 1) (*.f64 y x)))
#s(approx (exp (* x y)) (fma.f64 y x #s(literal 1 binary64)))
#s(approx (exp x) #s(approx (+ (* (+ (* 1/2 x) 1) x) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))))
#s(approx (exp y) #s(approx (+ (* (+ (* 1/2 y) 1) y) 1) (*.f64 (*.f64 y y) #s(literal 1/2 binary64))))
#s(approx (exp (* (* x y) y)) #s(approx (+ (* (* y x) y) 1) (*.f64 (*.f64 y y) x)))
#s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 y x) y #s(literal 1 binary64)))
#s(approx (exp x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64)))
#s(approx (exp y) (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal 1 binary64)) y #s(literal 1 binary64)))
#s(approx (exp x) #s(approx (+ (* (+ (* (+ (* 1/6 x) 1/2) x) 1) x) 1) (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x) x)))
#s(approx (exp y) #s(approx (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (*.f64 (*.f64 (fma.f64 y #s(literal 1/6 binary64) #s(literal 1/2 binary64)) y) y)))
#s(approx (exp x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #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)))
#s(approx (exp (* x y)) (fma.f64 (fma.f64 (*.f64 (*.f64 x x) y) #s(literal 1/2 binary64) x) y #s(literal 1 binary64)))
#s(approx (exp (* x y)) (fma.f64 (fma.f64 (*.f64 (*.f64 y x) x) #s(literal 1/2 binary64) x) y #s(literal 1 binary64)))
Outputs
#s(approx (exp x) #s(approx (+ (* (+ (* 1/2 x) 1) x) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))))
#s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 y x) y #s(literal 1 binary64)))
#s(approx (exp x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64)))
#s(approx (exp (* (* x y) y)) #s(approx (+ (* (* y x) y) 1) (*.f64 (*.f64 y y) x)))
Calls

3 calls:

6.0ms
y
5.0ms
(*.f64 (*.f64 x y) y)
5.0ms
(exp.f64 (*.f64 (*.f64 x y) y))
Results
AccuracySegmentsBranch
73.3%3y
73.5%3(exp.f64 (*.f64 (*.f64 x y) y))
77.9%4(*.f64 (*.f64 x y) y)
Compiler

Compiled 12 to 11 computations (8.3% saved)

regimes5.0ms (0%)

Memory
2.9MiB live, 2.9MiB allocated
Counts
13 → 4
Calls
Call 1
Inputs
#s(approx (exp (* (* x y) y)) #s(literal 1 binary64))
#s(approx (exp x) (+.f64 #s(literal 1 binary64) x))
#s(approx (exp y) (+.f64 #s(literal 1 binary64) y))
#s(approx (exp (* x y)) #s(approx (+ (* y x) 1) (*.f64 y x)))
#s(approx (exp (* x y)) (fma.f64 y x #s(literal 1 binary64)))
#s(approx (exp x) #s(approx (+ (* (+ (* 1/2 x) 1) x) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))))
#s(approx (exp y) #s(approx (+ (* (+ (* 1/2 y) 1) y) 1) (*.f64 (*.f64 y y) #s(literal 1/2 binary64))))
#s(approx (exp (* (* x y) y)) #s(approx (+ (* (* y x) y) 1) (*.f64 (*.f64 y y) x)))
#s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 y x) y #s(literal 1 binary64)))
#s(approx (exp x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64)))
#s(approx (exp y) (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal 1 binary64)) y #s(literal 1 binary64)))
#s(approx (exp x) #s(approx (+ (* (+ (* (+ (* 1/6 x) 1/2) x) 1) x) 1) (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x) x)))
#s(approx (exp y) #s(approx (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (*.f64 (*.f64 (fma.f64 y #s(literal 1/6 binary64) #s(literal 1/2 binary64)) y) y)))
Outputs
#s(approx (exp x) #s(approx (+ (* (+ (* 1/2 x) 1) x) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))))
#s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 y x) y #s(literal 1 binary64)))
#s(approx (exp x) #s(approx (+ (* (+ (* (+ (* 1/6 x) 1/2) x) 1) x) 1) (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x) x)))
#s(approx (exp (* (* x y) y)) #s(approx (+ (* (* y x) y) 1) (*.f64 (*.f64 y y) x)))
Calls

1 calls:

4.0ms
(*.f64 (*.f64 x y) y)
Results
AccuracySegmentsBranch
77.8%4(*.f64 (*.f64 x y) y)
Compiler

Compiled 5 to 4 computations (20% saved)

regimes9.0ms (0%)

Memory
4.9MiB live, 4.9MiB allocated
Counts
11 → 4
Calls
Call 1
Inputs
#s(approx (exp (* (* x y) y)) #s(literal 1 binary64))
#s(approx (exp x) (+.f64 #s(literal 1 binary64) x))
#s(approx (exp y) (+.f64 #s(literal 1 binary64) y))
#s(approx (exp (* x y)) #s(approx (+ (* y x) 1) (*.f64 y x)))
#s(approx (exp (* x y)) (fma.f64 y x #s(literal 1 binary64)))
#s(approx (exp x) #s(approx (+ (* (+ (* 1/2 x) 1) x) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))))
#s(approx (exp y) #s(approx (+ (* (+ (* 1/2 y) 1) y) 1) (*.f64 (*.f64 y y) #s(literal 1/2 binary64))))
#s(approx (exp (* (* x y) y)) #s(approx (+ (* (* y x) y) 1) (*.f64 (*.f64 y y) x)))
#s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 y x) y #s(literal 1 binary64)))
#s(approx (exp x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64)))
#s(approx (exp y) (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal 1 binary64)) y #s(literal 1 binary64)))
Outputs
#s(approx (exp x) #s(approx (+ (* (+ (* 1/2 x) 1) x) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))))
#s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 y x) y #s(literal 1 binary64)))
#s(approx (exp x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64)))
#s(approx (exp (* (* x y) y)) #s(approx (+ (* (* y x) y) 1) (*.f64 (*.f64 y y) x)))
Calls

2 calls:

4.0ms
x
4.0ms
(*.f64 (*.f64 x y) y)
Results
AccuracySegmentsBranch
66.6%2x
76.1%4(*.f64 (*.f64 x y) y)
Compiler

Compiled 6 to 6 computations (0% saved)

regimes4.0ms (0%)

Memory
2.4MiB live, 2.4MiB allocated
Counts
9 → 4
Calls
Call 1
Inputs
#s(approx (exp (* (* x y) y)) #s(literal 1 binary64))
#s(approx (exp x) (+.f64 #s(literal 1 binary64) x))
#s(approx (exp y) (+.f64 #s(literal 1 binary64) y))
#s(approx (exp (* x y)) #s(approx (+ (* y x) 1) (*.f64 y x)))
#s(approx (exp (* x y)) (fma.f64 y x #s(literal 1 binary64)))
#s(approx (exp x) #s(approx (+ (* (+ (* 1/2 x) 1) x) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))))
#s(approx (exp y) #s(approx (+ (* (+ (* 1/2 y) 1) y) 1) (*.f64 (*.f64 y y) #s(literal 1/2 binary64))))
#s(approx (exp (* (* x y) y)) #s(approx (+ (* (* y x) y) 1) (*.f64 (*.f64 y y) x)))
#s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 y x) y #s(literal 1 binary64)))
Outputs
#s(approx (exp x) #s(approx (+ (* (+ (* 1/2 x) 1) x) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))))
#s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 y x) y #s(literal 1 binary64)))
#s(approx (exp x) #s(approx (+ (* (+ (* 1/2 x) 1) x) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))))
#s(approx (exp (* (* x y) y)) #s(approx (+ (* (* y x) y) 1) (*.f64 (*.f64 y y) x)))
Calls

1 calls:

3.0ms
(*.f64 (*.f64 x y) y)
Results
AccuracySegmentsBranch
76.1%4(*.f64 (*.f64 x y) y)
Compiler

Compiled 5 to 4 computations (20% saved)

regimes4.0ms (0%)

Memory
2.3MiB live, 2.3MiB allocated
Counts
8 → 4
Calls
Call 1
Inputs
#s(approx (exp (* (* x y) y)) #s(literal 1 binary64))
#s(approx (exp x) (+.f64 #s(literal 1 binary64) x))
#s(approx (exp y) (+.f64 #s(literal 1 binary64) y))
#s(approx (exp (* x y)) #s(approx (+ (* y x) 1) (*.f64 y x)))
#s(approx (exp (* x y)) (fma.f64 y x #s(literal 1 binary64)))
#s(approx (exp x) #s(approx (+ (* (+ (* 1/2 x) 1) x) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))))
#s(approx (exp y) #s(approx (+ (* (+ (* 1/2 y) 1) y) 1) (*.f64 (*.f64 y y) #s(literal 1/2 binary64))))
#s(approx (exp (* (* x y) y)) #s(approx (+ (* (* y x) y) 1) (*.f64 (*.f64 y y) x)))
Outputs
#s(approx (exp x) #s(approx (+ (* (+ (* 1/2 x) 1) x) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))))
#s(approx (exp (* (* x y) y)) #s(literal 1 binary64))
#s(approx (exp x) #s(approx (+ (* (+ (* 1/2 x) 1) x) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))))
#s(approx (exp (* (* x y) y)) #s(approx (+ (* (* y x) y) 1) (*.f64 (*.f64 y y) x)))
Calls

1 calls:

3.0ms
(*.f64 (*.f64 x y) y)
Results
AccuracySegmentsBranch
75.9%4(*.f64 (*.f64 x y) y)
Compiler

Compiled 5 to 4 computations (20% saved)

regimes10.0ms (0%)

Memory
5.5MiB live, 5.5MiB allocated
Counts
7 → 4
Calls
Call 1
Inputs
#s(approx (exp (* (* x y) y)) #s(literal 1 binary64))
#s(approx (exp x) (+.f64 #s(literal 1 binary64) x))
#s(approx (exp y) (+.f64 #s(literal 1 binary64) y))
#s(approx (exp (* x y)) #s(approx (+ (* y x) 1) (*.f64 y x)))
#s(approx (exp (* x y)) (fma.f64 y x #s(literal 1 binary64)))
#s(approx (exp x) #s(approx (+ (* (+ (* 1/2 x) 1) x) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))))
#s(approx (exp y) #s(approx (+ (* (+ (* 1/2 y) 1) y) 1) (*.f64 (*.f64 y y) #s(literal 1/2 binary64))))
Outputs
#s(approx (exp x) #s(approx (+ (* (+ (* 1/2 x) 1) x) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))))
#s(approx (exp (* (* x y) y)) #s(literal 1 binary64))
#s(approx (exp x) #s(approx (+ (* (+ (* 1/2 x) 1) x) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))))
#s(approx (exp y) #s(approx (+ (* (+ (* 1/2 y) 1) y) 1) (*.f64 (*.f64 y y) #s(literal 1/2 binary64))))
Calls

3 calls:

3.0ms
y
3.0ms
(*.f64 (*.f64 x y) y)
2.0ms
(exp.f64 (*.f64 (*.f64 x y) y))
Results
AccuracySegmentsBranch
66.5%3y
69.8%3(exp.f64 (*.f64 (*.f64 x y) y))
73.3%4(*.f64 (*.f64 x y) y)
Compiler

Compiled 12 to 11 computations (8.3% saved)

regimes9.0ms (0%)

Memory
5.2MiB live, 5.2MiB allocated
Counts
6 → 3
Calls
Call 1
Inputs
#s(approx (exp (* (* x y) y)) #s(literal 1 binary64))
#s(approx (exp x) (+.f64 #s(literal 1 binary64) x))
#s(approx (exp y) (+.f64 #s(literal 1 binary64) y))
#s(approx (exp (* x y)) #s(approx (+ (* y x) 1) (*.f64 y x)))
#s(approx (exp (* x y)) (fma.f64 y x #s(literal 1 binary64)))
#s(approx (exp x) #s(approx (+ (* (+ (* 1/2 x) 1) x) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))))
Outputs
#s(approx (exp x) #s(approx (+ (* (+ (* 1/2 x) 1) x) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))))
#s(approx (exp (* (* x y) y)) #s(literal 1 binary64))
#s(approx (exp x) #s(approx (+ (* (+ (* 1/2 x) 1) x) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))))
Calls

3 calls:

3.0ms
x
3.0ms
(*.f64 (*.f64 x y) y)
2.0ms
(exp.f64 (*.f64 (*.f64 x y) y))
Results
AccuracySegmentsBranch
58.7%2x
67.5%3(exp.f64 (*.f64 (*.f64 x y) y))
67.5%3(*.f64 (*.f64 x y) y)
Compiler

Compiled 12 to 11 computations (8.3% saved)

regimes11.0ms (0%)

Memory
6.7MiB live, 6.7MiB allocated
Counts
5 → 2
Calls
Call 1
Inputs
#s(approx (exp (* (* x y) y)) #s(literal 1 binary64))
#s(approx (exp x) (+.f64 #s(literal 1 binary64) x))
#s(approx (exp y) (+.f64 #s(literal 1 binary64) y))
#s(approx (exp (* x y)) #s(approx (+ (* y x) 1) (*.f64 y x)))
#s(approx (exp (* x y)) (fma.f64 y x #s(literal 1 binary64)))
Outputs
#s(approx (exp (* (* x y) y)) #s(literal 1 binary64))
#s(approx (exp (* x y)) (fma.f64 y x #s(literal 1 binary64)))
Calls

4 calls:

3.0ms
y
3.0ms
x
2.0ms
(*.f64 (*.f64 x y) y)
2.0ms
(exp.f64 (*.f64 (*.f64 x y) y))
Results
AccuracySegmentsBranch
54.0%2x
57.1%2y
57.3%2(*.f64 (*.f64 x y) y)
57.3%2(exp.f64 (*.f64 (*.f64 x y) y))
Compiler

Compiled 13 to 13 computations (0% saved)

regimes5.0ms (0%)

Memory
3.0MiB live, 3.0MiB allocated
Counts
4 → 2
Calls
Call 1
Inputs
#s(approx (exp (* (* x y) y)) #s(literal 1 binary64))
#s(approx (exp x) (+.f64 #s(literal 1 binary64) x))
#s(approx (exp y) (+.f64 #s(literal 1 binary64) y))
#s(approx (exp (* x y)) #s(approx (+ (* y x) 1) (*.f64 y x)))
Outputs
#s(approx (exp (* (* x y) y)) #s(literal 1 binary64))
#s(approx (exp (* x y)) #s(approx (+ (* y x) 1) (*.f64 y x)))
Calls

2 calls:

2.0ms
(*.f64 (*.f64 x y) y)
2.0ms
(exp.f64 (*.f64 (*.f64 x y) y))
Results
AccuracySegmentsBranch
57.3%2(exp.f64 (*.f64 (*.f64 x y) y))
57.3%2(*.f64 (*.f64 x y) y)
Compiler

Compiled 11 to 9 computations (18.2% saved)

regimes9.0ms (0%)

Memory
6.0MiB live, 6.0MiB allocated
Accuracy

Total -13.7b remaining (-42.3%)

Threshold costs -13.7b (-42.3%)

Counts
3 → 1
Calls
Call 1
Inputs
#s(approx (exp (* (* x y) y)) #s(literal 1 binary64))
#s(approx (exp x) (+.f64 #s(literal 1 binary64) x))
#s(approx (exp y) (+.f64 #s(literal 1 binary64) y))
Outputs
#s(approx (exp (* (* x y) y)) #s(literal 1 binary64))
Calls

4 calls:

2.0ms
y
2.0ms
x
2.0ms
(*.f64 (*.f64 x y) y)
2.0ms
(exp.f64 (*.f64 (*.f64 x y) y))
Results
AccuracySegmentsBranch
49.6%1x
49.6%1y
49.6%1(exp.f64 (*.f64 (*.f64 x y) y))
49.6%1(*.f64 (*.f64 x y) y)
Compiler

Compiled 13 to 13 computations (0% saved)

bsearch13.0ms (0%)

Memory
3.9MiB live, 3.9MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
12.0ms
6.427091187958981e-113
5.1315479275858575e-108
Samples
7.0ms144×0valid
Compiler

Compiled 108 to 118 computations (-9.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 3.0ms
ival-mult: 2.0ms (61.3% of total)
ival-exp: 1.0ms (30.6% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch1.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.34895154292685837
499.9388375042012
0.0ms
-867520.3929740092
-1.9908714860323375e-18
0.0ms
-1.3008626466936848e+289
-1.902272314520146e+277
Compiler

Compiled 9 to 10 computations (-11.1% saved)

bsearch1.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.34895154292685837
499.9388375042012
0.0ms
-867520.3929740092
-1.9908714860323375e-18
Compiler

Compiled 9 to 10 computations (-11.1% saved)

bsearch1.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
4.996475199032205e+246
1.1282468998986967e+254
0.0ms
0.34895154292685837
499.9388375042012
0.0ms
-867520.3929740092
-1.9908714860323375e-18
Compiler

Compiled 9 to 10 computations (-11.1% saved)

bsearch1.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
4.996475199032205e+246
1.1282468998986967e+254
0.0ms
0.34895154292685837
499.9388375042012
0.0ms
-867520.3929740092
-1.9908714860323375e-18
Compiler

Compiled 9 to 10 computations (-11.1% saved)

bsearch1.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
4.996475199032205e+246
1.1282468998986967e+254
0.0ms
0.34895154292685837
499.9388375042012
0.0ms
-867520.3929740092
-1.9908714860323375e-18
Compiler

Compiled 9 to 10 computations (-11.1% saved)

bsearch1.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
4.996475199032205e+246
1.1282468998986967e+254
0.0ms
0.34895154292685837
499.9388375042012
0.0ms
-867520.3929740092
-1.9908714860323375e-18
Compiler

Compiled 9 to 10 computations (-11.1% saved)

bsearch1.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
4.996475199032205e+246
1.1282468998986967e+254
0.0ms
0.34895154292685837
499.9388375042012
0.0ms
-867520.3929740092
-1.9908714860323375e-18
Compiler

Compiled 9 to 10 computations (-11.1% saved)

bsearch1.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
4.996475199032205e+246
1.1282468998986967e+254
0.0ms
0.34895154292685837
499.9388375042012
0.0ms
-867520.3929740092
-1.9908714860323375e-18
Compiler

Compiled 9 to 10 computations (-11.1% saved)

bsearch1.0ms (0%)

Memory
0.2MiB live, 0.2MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
1.417580496875836
1.320317614226969e+217
0.0ms
0.0
1.0
Compiler

Compiled 9 to 10 computations (-11.1% saved)

bsearch0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.34895154292685837
499.9388375042012
Compiler

Compiled 9 to 10 computations (-11.1% saved)

bsearch0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.34895154292685837
499.9388375042012
Compiler

Compiled 9 to 10 computations (-11.1% saved)

simplify32.0ms (0.1%)

Memory
20.4MiB live, 20.4MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0119882
1134882
Stop Event
saturated
Calls
Call 1
Inputs
(exp.f64 (*.f64 (*.f64 x y) y))
(if (<=.f64 y #s(literal 6092291808370931/338460656020607282663380637712778772392143197677711984273740183180495765112991409062496875745134225841966700556811959451779072 binary64)) #s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 y x) y #s(literal 1 binary64))) (exp.f64 (*.f64 x y)))
(if (<=.f64 (*.f64 (*.f64 x y) y) #s(literal -10000000000000000617278335278671568869943723109630112583100528505388133765396715589425391709444647966943104584514912613103459078543395617173821153536698722855425910210916188218613474303381375362727338596024627724499484625789034803081540112423670420191213257583185130503608895092113260150784 binary64)) (exp.f64 x) (if (<=.f64 (*.f64 (*.f64 x y) y) #s(literal -500000 binary64)) #s(approx (exp x) #s(approx (+ (* (+ (* 1/2 x) 1) x) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) (if (<=.f64 (*.f64 (*.f64 x y) y) #s(literal 1/2 binary64)) #s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 y x) y #s(literal 1 binary64))) #s(approx (exp (* x y)) #s(approx (+ (* (+ (* (+ (* 1/6 (* (* y x) (* x x))) (* (* 1/2 x) x)) y) x) y) 1) (*.f64 (*.f64 (*.f64 (*.f64 y (fma.f64 (*.f64 y #s(literal 1/6 binary64)) x #s(literal 1/2 binary64))) x) x) y))))))
(if (<=.f64 (*.f64 (*.f64 x y) y) #s(literal -500000 binary64)) #s(approx (exp x) #s(approx (+ (* (+ (* 1/2 x) 1) x) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) (if (<=.f64 (*.f64 (*.f64 x y) y) #s(literal 1/2 binary64)) #s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 y x) y #s(literal 1 binary64))) #s(approx (exp (* x y)) #s(approx (+ (* (+ (* (+ (* 1/6 (* (* y x) (* x x))) (* (* 1/2 x) x)) y) x) y) 1) (*.f64 (*.f64 (*.f64 (*.f64 y (fma.f64 (*.f64 y #s(literal 1/6 binary64)) x #s(literal 1/2 binary64))) x) x) y)))))
(if (<=.f64 (*.f64 (*.f64 x y) y) #s(literal -500000 binary64)) #s(approx (exp x) #s(approx (+ (* (+ (* 1/2 x) 1) x) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) (if (<=.f64 (*.f64 (*.f64 x y) y) #s(literal 1/2 binary64)) #s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 y x) y #s(literal 1 binary64))) (if (<=.f64 (*.f64 (*.f64 x y) y) #s(literal 4999999999999999760735974646144406802668162693126366712121860560028867422224871803995332339490365705143022923423718957053975462570377978259298633287860084956249979212654597850332557839410175135596805230755849297863690962148994861165983461669863424 binary64)) #s(approx (exp x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64))) #s(approx (exp (* (* x y) y)) #s(approx (+ (* (* y x) y) 1) (*.f64 (*.f64 y y) x))))))
(if (<=.f64 (*.f64 (*.f64 x y) y) #s(literal -500000 binary64)) #s(approx (exp x) #s(approx (+ (* (+ (* 1/2 x) 1) x) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) (if (<=.f64 (*.f64 (*.f64 x y) y) #s(literal 1/2 binary64)) #s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 y x) y #s(literal 1 binary64))) (if (<=.f64 (*.f64 (*.f64 x y) y) #s(literal 4999999999999999760735974646144406802668162693126366712121860560028867422224871803995332339490365705143022923423718957053975462570377978259298633287860084956249979212654597850332557839410175135596805230755849297863690962148994861165983461669863424 binary64)) #s(approx (exp x) #s(approx (+ (* (+ (* (+ (* 1/6 x) 1/2) x) 1) x) 1) (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x) x))) #s(approx (exp (* (* x y) y)) #s(approx (+ (* (* y x) y) 1) (*.f64 (*.f64 y y) x))))))
(if (<=.f64 (*.f64 (*.f64 x y) y) #s(literal -500000 binary64)) #s(approx (exp x) #s(approx (+ (* (+ (* 1/2 x) 1) x) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) (if (<=.f64 (*.f64 (*.f64 x y) y) #s(literal 1/2 binary64)) #s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 y x) y #s(literal 1 binary64))) (if (<=.f64 (*.f64 (*.f64 x y) y) #s(literal 4999999999999999760735974646144406802668162693126366712121860560028867422224871803995332339490365705143022923423718957053975462570377978259298633287860084956249979212654597850332557839410175135596805230755849297863690962148994861165983461669863424 binary64)) #s(approx (exp x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))) #s(approx (exp (* (* x y) y)) #s(approx (+ (* (* y x) y) 1) (*.f64 (*.f64 y y) x))))))
(if (<=.f64 (*.f64 (*.f64 x y) y) #s(literal -500000 binary64)) #s(approx (exp x) #s(approx (+ (* (+ (* 1/2 x) 1) x) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) (if (<=.f64 (*.f64 (*.f64 x y) y) #s(literal 1/2 binary64)) #s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 y x) y #s(literal 1 binary64))) (if (<=.f64 (*.f64 (*.f64 x y) y) #s(literal 4999999999999999760735974646144406802668162693126366712121860560028867422224871803995332339490365705143022923423718957053975462570377978259298633287860084956249979212654597850332557839410175135596805230755849297863690962148994861165983461669863424 binary64)) #s(approx (exp x) #s(approx (+ (* (+ (* 1/2 x) 1) x) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) #s(approx (exp (* (* x y) y)) #s(approx (+ (* (* y x) y) 1) (*.f64 (*.f64 y y) x))))))
(if (<=.f64 (*.f64 (*.f64 x y) y) #s(literal -500000 binary64)) #s(approx (exp x) #s(approx (+ (* (+ (* 1/2 x) 1) x) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) (if (<=.f64 (*.f64 (*.f64 x y) y) #s(literal 1/2 binary64)) #s(approx (exp (* (* x y) y)) #s(literal 1 binary64)) (if (<=.f64 (*.f64 (*.f64 x y) y) #s(literal 4999999999999999760735974646144406802668162693126366712121860560028867422224871803995332339490365705143022923423718957053975462570377978259298633287860084956249979212654597850332557839410175135596805230755849297863690962148994861165983461669863424 binary64)) #s(approx (exp x) #s(approx (+ (* (+ (* 1/2 x) 1) x) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) #s(approx (exp (* (* x y) y)) #s(approx (+ (* (* y x) y) 1) (*.f64 (*.f64 y y) x))))))
(if (<=.f64 (*.f64 (*.f64 x y) y) #s(literal -500000 binary64)) #s(approx (exp x) #s(approx (+ (* (+ (* 1/2 x) 1) x) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) (if (<=.f64 (*.f64 (*.f64 x y) y) #s(literal 1/2 binary64)) #s(approx (exp (* (* x y) y)) #s(literal 1 binary64)) (if (<=.f64 (*.f64 (*.f64 x y) y) #s(literal 4999999999999999760735974646144406802668162693126366712121860560028867422224871803995332339490365705143022923423718957053975462570377978259298633287860084956249979212654597850332557839410175135596805230755849297863690962148994861165983461669863424 binary64)) #s(approx (exp x) #s(approx (+ (* (+ (* 1/2 x) 1) x) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) #s(approx (exp y) #s(approx (+ (* (+ (* 1/2 y) 1) y) 1) (*.f64 (*.f64 y y) #s(literal 1/2 binary64)))))))
(if (<=.f64 (exp.f64 (*.f64 (*.f64 x y) y)) #s(literal 0 binary64)) #s(approx (exp x) #s(approx (+ (* (+ (* 1/2 x) 1) x) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) (if (<=.f64 (exp.f64 (*.f64 (*.f64 x y) y)) #s(literal 2 binary64)) #s(approx (exp (* (* x y) y)) #s(literal 1 binary64)) #s(approx (exp x) #s(approx (+ (* (+ (* 1/2 x) 1) x) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))))))
(if (<=.f64 (*.f64 (*.f64 x y) y) #s(literal 1/2 binary64)) #s(approx (exp (* (* x y) y)) #s(literal 1 binary64)) #s(approx (exp (* x y)) (fma.f64 y x #s(literal 1 binary64))))
(if (<=.f64 (*.f64 (*.f64 x y) y) #s(literal 1/2 binary64)) #s(approx (exp (* (* x y) y)) #s(literal 1 binary64)) #s(approx (exp (* x y)) #s(approx (+ (* y x) 1) (*.f64 y x))))
#s(approx (exp (* (* x y) y)) #s(literal 1 binary64))
Outputs
(exp.f64 (*.f64 (*.f64 x y) y))
(exp.f64 (*.f64 (*.f64 y x) y))
(if (<=.f64 y #s(literal 6092291808370931/338460656020607282663380637712778772392143197677711984273740183180495765112991409062496875745134225841966700556811959451779072 binary64)) #s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 y x) y #s(literal 1 binary64))) (exp.f64 (*.f64 x y)))
(if (<=.f64 y #s(literal 6092291808370931/338460656020607282663380637712778772392143197677711984273740183180495765112991409062496875745134225841966700556811959451779072 binary64)) #s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 y x) y #s(literal 1 binary64))) (exp.f64 (*.f64 y x)))
(if (<=.f64 (*.f64 (*.f64 x y) y) #s(literal -10000000000000000617278335278671568869943723109630112583100528505388133765396715589425391709444647966943104584514912613103459078543395617173821153536698722855425910210916188218613474303381375362727338596024627724499484625789034803081540112423670420191213257583185130503608895092113260150784 binary64)) (exp.f64 x) (if (<=.f64 (*.f64 (*.f64 x y) y) #s(literal -500000 binary64)) #s(approx (exp x) #s(approx (+ (* (+ (* 1/2 x) 1) x) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) (if (<=.f64 (*.f64 (*.f64 x y) y) #s(literal 1/2 binary64)) #s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 y x) y #s(literal 1 binary64))) #s(approx (exp (* x y)) #s(approx (+ (* (+ (* (+ (* 1/6 (* (* y x) (* x x))) (* (* 1/2 x) x)) y) x) y) 1) (*.f64 (*.f64 (*.f64 (*.f64 y (fma.f64 (*.f64 y #s(literal 1/6 binary64)) x #s(literal 1/2 binary64))) x) x) y))))))
(if (<=.f64 (*.f64 (*.f64 y x) y) #s(literal -10000000000000000617278335278671568869943723109630112583100528505388133765396715589425391709444647966943104584514912613103459078543395617173821153536698722855425910210916188218613474303381375362727338596024627724499484625789034803081540112423670420191213257583185130503608895092113260150784 binary64)) (exp.f64 x) (if (<=.f64 (*.f64 (*.f64 y x) y) #s(literal -500000 binary64)) #s(approx (exp x) #s(approx (+ (* (+ (* 1/2 x) 1) x) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))) (if (<=.f64 (*.f64 (*.f64 y x) y) #s(literal 1/2 binary64)) #s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 y x) y #s(literal 1 binary64))) #s(approx (exp (* x y)) #s(approx (+ (* (+ (* (+ (* 1/6 (* (* y x) (* x x))) (* (* 1/2 x) x)) y) x) y) 1) (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) x #s(literal 1/2 binary64)) y) x) x) y))))))
(if (<=.f64 (*.f64 (*.f64 x y) y) #s(literal -500000 binary64)) #s(approx (exp x) #s(approx (+ (* (+ (* 1/2 x) 1) x) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) (if (<=.f64 (*.f64 (*.f64 x y) y) #s(literal 1/2 binary64)) #s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 y x) y #s(literal 1 binary64))) #s(approx (exp (* x y)) #s(approx (+ (* (+ (* (+ (* 1/6 (* (* y x) (* x x))) (* (* 1/2 x) x)) y) x) y) 1) (*.f64 (*.f64 (*.f64 (*.f64 y (fma.f64 (*.f64 y #s(literal 1/6 binary64)) x #s(literal 1/2 binary64))) x) x) y)))))
(if (<=.f64 (*.f64 (*.f64 y x) y) #s(literal -500000 binary64)) #s(approx (exp x) #s(approx (+ (* (+ (* 1/2 x) 1) x) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))) (if (<=.f64 (*.f64 (*.f64 y x) y) #s(literal 1/2 binary64)) #s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 y x) y #s(literal 1 binary64))) #s(approx (exp (* x y)) #s(approx (+ (* (+ (* (+ (* 1/6 (* (* y x) (* x x))) (* (* 1/2 x) x)) y) x) y) 1) (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) x #s(literal 1/2 binary64)) y) x) x) y)))))
(if (<=.f64 (*.f64 (*.f64 x y) y) #s(literal -500000 binary64)) #s(approx (exp x) #s(approx (+ (* (+ (* 1/2 x) 1) x) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) (if (<=.f64 (*.f64 (*.f64 x y) y) #s(literal 1/2 binary64)) #s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 y x) y #s(literal 1 binary64))) (if (<=.f64 (*.f64 (*.f64 x y) y) #s(literal 4999999999999999760735974646144406802668162693126366712121860560028867422224871803995332339490365705143022923423718957053975462570377978259298633287860084956249979212654597850332557839410175135596805230755849297863690962148994861165983461669863424 binary64)) #s(approx (exp x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64))) #s(approx (exp (* (* x y) y)) #s(approx (+ (* (* y x) y) 1) (*.f64 (*.f64 y y) x))))))
(if (<=.f64 (*.f64 (*.f64 y x) y) #s(literal -500000 binary64)) #s(approx (exp x) #s(approx (+ (* (+ (* 1/2 x) 1) x) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))) (if (<=.f64 (*.f64 (*.f64 y x) y) #s(literal 1/2 binary64)) #s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 y x) y #s(literal 1 binary64))) (if (<=.f64 (*.f64 (*.f64 y x) y) #s(literal 4999999999999999760735974646144406802668162693126366712121860560028867422224871803995332339490365705143022923423718957053975462570377978259298633287860084956249979212654597850332557839410175135596805230755849297863690962148994861165983461669863424 binary64)) #s(approx (exp x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64))) #s(approx (exp (* (* x y) y)) #s(approx (+ (* (* y x) y) 1) (*.f64 (*.f64 y y) x))))))
(if (<=.f64 (*.f64 (*.f64 x y) y) #s(literal -500000 binary64)) #s(approx (exp x) #s(approx (+ (* (+ (* 1/2 x) 1) x) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) (if (<=.f64 (*.f64 (*.f64 x y) y) #s(literal 1/2 binary64)) #s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 y x) y #s(literal 1 binary64))) (if (<=.f64 (*.f64 (*.f64 x y) y) #s(literal 4999999999999999760735974646144406802668162693126366712121860560028867422224871803995332339490365705143022923423718957053975462570377978259298633287860084956249979212654597850332557839410175135596805230755849297863690962148994861165983461669863424 binary64)) #s(approx (exp x) #s(approx (+ (* (+ (* (+ (* 1/6 x) 1/2) x) 1) x) 1) (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x) x))) #s(approx (exp (* (* x y) y)) #s(approx (+ (* (* y x) y) 1) (*.f64 (*.f64 y y) x))))))
(if (<=.f64 (*.f64 (*.f64 y x) y) #s(literal -500000 binary64)) #s(approx (exp x) #s(approx (+ (* (+ (* 1/2 x) 1) x) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))) (if (<=.f64 (*.f64 (*.f64 y x) y) #s(literal 1/2 binary64)) #s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 y x) y #s(literal 1 binary64))) (if (<=.f64 (*.f64 (*.f64 y x) y) #s(literal 4999999999999999760735974646144406802668162693126366712121860560028867422224871803995332339490365705143022923423718957053975462570377978259298633287860084956249979212654597850332557839410175135596805230755849297863690962148994861165983461669863424 binary64)) #s(approx (exp x) #s(approx (+ (* (+ (* (+ (* 1/6 x) 1/2) x) 1) x) 1) (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x) x))) #s(approx (exp (* (* x y) y)) #s(approx (+ (* (* y x) y) 1) (*.f64 (*.f64 y y) x))))))
(if (<=.f64 (*.f64 (*.f64 x y) y) #s(literal -500000 binary64)) #s(approx (exp x) #s(approx (+ (* (+ (* 1/2 x) 1) x) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) (if (<=.f64 (*.f64 (*.f64 x y) y) #s(literal 1/2 binary64)) #s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 y x) y #s(literal 1 binary64))) (if (<=.f64 (*.f64 (*.f64 x y) y) #s(literal 4999999999999999760735974646144406802668162693126366712121860560028867422224871803995332339490365705143022923423718957053975462570377978259298633287860084956249979212654597850332557839410175135596805230755849297863690962148994861165983461669863424 binary64)) #s(approx (exp x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))) #s(approx (exp (* (* x y) y)) #s(approx (+ (* (* y x) y) 1) (*.f64 (*.f64 y y) x))))))
(if (<=.f64 (*.f64 (*.f64 y x) y) #s(literal -500000 binary64)) #s(approx (exp x) #s(approx (+ (* (+ (* 1/2 x) 1) x) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))) (if (<=.f64 (*.f64 (*.f64 y x) y) #s(literal 1/2 binary64)) #s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 y x) y #s(literal 1 binary64))) (if (<=.f64 (*.f64 (*.f64 y x) y) #s(literal 4999999999999999760735974646144406802668162693126366712121860560028867422224871803995332339490365705143022923423718957053975462570377978259298633287860084956249979212654597850332557839410175135596805230755849297863690962148994861165983461669863424 binary64)) #s(approx (exp x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))) #s(approx (exp (* (* x y) y)) #s(approx (+ (* (* y x) y) 1) (*.f64 (*.f64 y y) x))))))
(if (<=.f64 (*.f64 (*.f64 x y) y) #s(literal -500000 binary64)) #s(approx (exp x) #s(approx (+ (* (+ (* 1/2 x) 1) x) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) (if (<=.f64 (*.f64 (*.f64 x y) y) #s(literal 1/2 binary64)) #s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 y x) y #s(literal 1 binary64))) (if (<=.f64 (*.f64 (*.f64 x y) y) #s(literal 4999999999999999760735974646144406802668162693126366712121860560028867422224871803995332339490365705143022923423718957053975462570377978259298633287860084956249979212654597850332557839410175135596805230755849297863690962148994861165983461669863424 binary64)) #s(approx (exp x) #s(approx (+ (* (+ (* 1/2 x) 1) x) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) #s(approx (exp (* (* x y) y)) #s(approx (+ (* (* y x) y) 1) (*.f64 (*.f64 y y) x))))))
(if (<=.f64 (*.f64 (*.f64 y x) y) #s(literal -500000 binary64)) #s(approx (exp x) #s(approx (+ (* (+ (* 1/2 x) 1) x) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))) (if (<=.f64 (*.f64 (*.f64 y x) y) #s(literal 1/2 binary64)) #s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 y x) y #s(literal 1 binary64))) (if (<=.f64 (*.f64 (*.f64 y x) y) #s(literal 4999999999999999760735974646144406802668162693126366712121860560028867422224871803995332339490365705143022923423718957053975462570377978259298633287860084956249979212654597850332557839410175135596805230755849297863690962148994861165983461669863424 binary64)) #s(approx (exp x) #s(approx (+ (* (+ (* 1/2 x) 1) x) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))) #s(approx (exp (* (* x y) y)) #s(approx (+ (* (* y x) y) 1) (*.f64 (*.f64 y y) x))))))
(if (<=.f64 (*.f64 (*.f64 x y) y) #s(literal -500000 binary64)) #s(approx (exp x) #s(approx (+ (* (+ (* 1/2 x) 1) x) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) (if (<=.f64 (*.f64 (*.f64 x y) y) #s(literal 1/2 binary64)) #s(approx (exp (* (* x y) y)) #s(literal 1 binary64)) (if (<=.f64 (*.f64 (*.f64 x y) y) #s(literal 4999999999999999760735974646144406802668162693126366712121860560028867422224871803995332339490365705143022923423718957053975462570377978259298633287860084956249979212654597850332557839410175135596805230755849297863690962148994861165983461669863424 binary64)) #s(approx (exp x) #s(approx (+ (* (+ (* 1/2 x) 1) x) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) #s(approx (exp (* (* x y) y)) #s(approx (+ (* (* y x) y) 1) (*.f64 (*.f64 y y) x))))))
(if (<=.f64 (*.f64 (*.f64 y x) y) #s(literal -500000 binary64)) #s(approx (exp x) #s(approx (+ (* (+ (* 1/2 x) 1) x) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))) (if (<=.f64 (*.f64 (*.f64 y x) y) #s(literal 1/2 binary64)) #s(approx (exp (* (* x y) y)) #s(literal 1 binary64)) (if (<=.f64 (*.f64 (*.f64 y x) y) #s(literal 4999999999999999760735974646144406802668162693126366712121860560028867422224871803995332339490365705143022923423718957053975462570377978259298633287860084956249979212654597850332557839410175135596805230755849297863690962148994861165983461669863424 binary64)) #s(approx (exp x) #s(approx (+ (* (+ (* 1/2 x) 1) x) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))) #s(approx (exp (* (* x y) y)) #s(approx (+ (* (* y x) y) 1) (*.f64 (*.f64 y y) x))))))
(if (<=.f64 (*.f64 (*.f64 x y) y) #s(literal -500000 binary64)) #s(approx (exp x) #s(approx (+ (* (+ (* 1/2 x) 1) x) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) (if (<=.f64 (*.f64 (*.f64 x y) y) #s(literal 1/2 binary64)) #s(approx (exp (* (* x y) y)) #s(literal 1 binary64)) (if (<=.f64 (*.f64 (*.f64 x y) y) #s(literal 4999999999999999760735974646144406802668162693126366712121860560028867422224871803995332339490365705143022923423718957053975462570377978259298633287860084956249979212654597850332557839410175135596805230755849297863690962148994861165983461669863424 binary64)) #s(approx (exp x) #s(approx (+ (* (+ (* 1/2 x) 1) x) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) #s(approx (exp y) #s(approx (+ (* (+ (* 1/2 y) 1) y) 1) (*.f64 (*.f64 y y) #s(literal 1/2 binary64)))))))
(if (<=.f64 (*.f64 (*.f64 y x) y) #s(literal -500000 binary64)) #s(approx (exp x) #s(approx (+ (* (+ (* 1/2 x) 1) x) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))) (if (<=.f64 (*.f64 (*.f64 y x) y) #s(literal 1/2 binary64)) #s(approx (exp (* (* x y) y)) #s(literal 1 binary64)) (if (<=.f64 (*.f64 (*.f64 y x) y) #s(literal 4999999999999999760735974646144406802668162693126366712121860560028867422224871803995332339490365705143022923423718957053975462570377978259298633287860084956249979212654597850332557839410175135596805230755849297863690962148994861165983461669863424 binary64)) #s(approx (exp x) #s(approx (+ (* (+ (* 1/2 x) 1) x) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))) #s(approx (exp y) #s(approx (+ (* (+ (* 1/2 y) 1) y) 1) (*.f64 (*.f64 y y) #s(literal 1/2 binary64)))))))
(if (<=.f64 (exp.f64 (*.f64 (*.f64 x y) y)) #s(literal 0 binary64)) #s(approx (exp x) #s(approx (+ (* (+ (* 1/2 x) 1) x) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) (if (<=.f64 (exp.f64 (*.f64 (*.f64 x y) y)) #s(literal 2 binary64)) #s(approx (exp (* (* x y) y)) #s(literal 1 binary64)) #s(approx (exp x) #s(approx (+ (* (+ (* 1/2 x) 1) x) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))))))
(if (<=.f64 (exp.f64 (*.f64 (*.f64 y x) y)) #s(literal 0 binary64)) #s(approx (exp x) #s(approx (+ (* (+ (* 1/2 x) 1) x) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))) (if (<=.f64 (exp.f64 (*.f64 (*.f64 y x) y)) #s(literal 2 binary64)) #s(approx (exp (* (* x y) y)) #s(literal 1 binary64)) #s(approx (exp x) #s(approx (+ (* (+ (* 1/2 x) 1) x) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))))))
(if (<=.f64 (*.f64 (*.f64 x y) y) #s(literal 1/2 binary64)) #s(approx (exp (* (* x y) y)) #s(literal 1 binary64)) #s(approx (exp (* x y)) (fma.f64 y x #s(literal 1 binary64))))
(if (<=.f64 (*.f64 (*.f64 y x) y) #s(literal 1/2 binary64)) #s(approx (exp (* (* x y) y)) #s(literal 1 binary64)) #s(approx (exp (* x y)) (fma.f64 y x #s(literal 1 binary64))))
(if (<=.f64 (*.f64 (*.f64 x y) y) #s(literal 1/2 binary64)) #s(approx (exp (* (* x y) y)) #s(literal 1 binary64)) #s(approx (exp (* x y)) #s(approx (+ (* y x) 1) (*.f64 y x))))
(if (<=.f64 (*.f64 (*.f64 y x) y) #s(literal 1/2 binary64)) #s(approx (exp (* (* x y) y)) #s(literal 1 binary64)) #s(approx (exp (* x y)) #s(approx (+ (* y x) 1) (*.f64 y x))))
#s(approx (exp (* (* x y) y)) #s(literal 1 binary64))

soundness24.7s (90.4%)

Memory
27.0MiB live, 27.0MiB allocated
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
02311939
17831882
226861811
374751811
080301633
0514
0812
11412
22912
39212
44823
539143
090723
02231965
17521900
225911851
371931849
080401660
0106920
1318920
2797908
31922900
43022892
55032892
08248828
044392
1120392
2328388
3803384
41106380
51234380
61314380
71337380
81351380
92752380
103337380
114128380
125124380
135145380
145145380
155378380
165378380
175378380
185378380
196827380
206827380
06827368
026137
047137
1190137
21466137
08199137
Stop Event
fuel
iter limit
node limit
iter limit
iter limit
saturated
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
iter limit
node limit
Compiler

Compiled 716 to 315 computations (56% saved)

preprocess84.0ms (0.3%)

Memory
54.9MiB live, 54.9MiB allocated
Remove

(abs y)

Compiler

Compiled 1 034 to 200 computations (80.7% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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