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

Time bar (total: 20.9s)

start0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

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

Compiled 8 to 7 computations (12.5% saved)

sample1.0s (5%)

Memory
7.4MiB live, 798.7MiB allocated
Samples
582.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 272.0ms
ival-mult: 186.0ms (68.3% of total)
ival-exp: 78.0ms (28.6% of total)
ival-true: 6.0ms (2.2% of total)
ival-assert: 3.0ms (1.1% of total)
Bogosity

explain201.0ms (1%)

Memory
14.9MiB live, 54.9MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-y
00-0-(exp.f64 (*.f64 y y))
00-0-(*.f64 y y)
00-0-(*.f64 x (exp.f64 (*.f64 y y)))
00-0-x
Confusion
Predicted +Predicted -
+00
-0256
Precision
0/0
Recall
0/0
Confusion?
Predicted +Predicted MaybePredicted -
+000
-00256
Precision?
0/0
Recall?
0/0
Freqs
test
numberfreq
0256
Total Confusion?
Predicted +Predicted MaybePredicted -
+000
-001
Precision?
0/0
Recall?
0/0
Samples
23.0ms512×0valid
Compiler

Compiled 40 to 19 computations (52.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 11.0ms
ival-mult: 7.0ms (62.9% of total)
ival-exp: 4.0ms (36% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess33.0ms (0.2%)

Memory
18.9MiB live, 18.9MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01532
14932
29932
321732
437532
553032
664332
768032
871432
972132
1072532
1172632
056
086
1116
0116
Stop Event
iter limit
saturated
iter limit
saturated
Calls
Call 1
Inputs
(*.f64 x (exp.f64 (*.f64 y y)))
Outputs
(*.f64 x (exp.f64 (*.f64 y y)))
(*.f64 (pow.f64 (exp.f64 y) y) x)
Symmetry

(abs y)

(negabs x)

Compiler

Compiled 6 to 5 computations (16.7% saved)

eval0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated
Compiler

Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(*.f64 x (exp.f64 (*.f64 y y)))
Compiler

Compiled 6 to 5 computations (16.7% saved)

simplify3.0ms (0%)

Memory
2.0MiB live, 2.0MiB allocated
Algorithm
egg-herbie
Localize:

Found 3 expressions of interest:

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

Useful iterations: 0 (0.0ms)

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

localize64.0ms (0.3%)

Memory
-21.3MiB live, 15.4MiB allocated
Localize:

Found 3 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(*.f64 y y)
accuracy0.0
(exp.f64 (*.f64 y y))
accuracy0.00390625
(*.f64 x (exp.f64 (*.f64 y y)))
Samples
60.0ms256×0valid
Compiler

Compiled 17 to 7 computations (58.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 5.0ms
ival-mult: 3.0ms (56.5% of total)
ival-exp: 2.0ms (37.7% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series4.0ms (0%)

Memory
4.5MiB live, 4.5MiB allocated
Counts
3 → 11
Calls
Call 1
Inputs
(*.f64 x (exp.f64 (*.f64 y y)))
(exp.f64 (*.f64 y y))
(*.f64 y y)
Outputs
(* x (exp (pow y 2)))
x
(+ x (* x (pow y 2)))
(+ x (* (pow y 2) (+ x (* 1/2 (* x (pow y 2))))))
(+ x (* (pow y 2) (+ x (* (pow y 2) (+ (* 1/6 (* x (pow y 2))) (* 1/2 x))))))
1
(+ 1 (pow y 2))
(+ 1 (* (pow y 2) (+ 1 (* 1/2 (pow y 2)))))
(+ 1 (* (pow y 2) (+ 1 (* (pow y 2) (+ 1/2 (* 1/6 (pow y 2)))))))
(pow y 2)
(exp (pow y 2))
Calls

6 calls:

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

simplify78.0ms (0.4%)

Memory
-10.2MiB live, 39.7MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03397
19597
227691
375089
498989
5116189
6131889
7143689
8143687
9176787
10180087
11180187
12182387
0182375
Stop Event
iter limit
saturated
Counts
11 → 10
Calls
Call 1
Inputs
(* x (exp (pow y 2)))
x
(+ x (* x (pow y 2)))
(+ x (* (pow y 2) (+ x (* 1/2 (* x (pow y 2))))))
(+ x (* (pow y 2) (+ x (* (pow y 2) (+ (* 1/6 (* x (pow y 2))) (* 1/2 x))))))
1
(+ 1 (pow y 2))
(+ 1 (* (pow y 2) (+ 1 (* 1/2 (pow y 2)))))
(+ 1 (* (pow y 2) (+ 1 (* (pow y 2) (+ 1/2 (* 1/6 (pow y 2)))))))
(pow y 2)
(exp (pow y 2))
Outputs
(* x (exp (pow y 2)))
(*.f64 (pow.f64 (exp.f64 y) y) x)
x
(+ x (* x (pow y 2)))
(fma.f64 (*.f64 y y) x x)
(+ x (* (pow y 2) (+ x (* 1/2 (* x (pow y 2))))))
(*.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/2 binary64) (fma.f64 y y #s(literal 1 binary64))) x)
(+ x (* (pow y 2) (+ x (* (pow y 2) (+ (* 1/6 (* x (pow y 2))) (* 1/2 x))))))
(*.f64 (fma.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1/6 binary64) (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/2 binary64) (fma.f64 y y #s(literal 1 binary64)))) x)
1
#s(literal 1 binary64)
(+ 1 (pow y 2))
(fma.f64 y y #s(literal 1 binary64))
(+ 1 (* (pow y 2) (+ 1 (* 1/2 (pow y 2)))))
(fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/2 binary64) (fma.f64 y y #s(literal 1 binary64)))
(+ 1 (* (pow y 2) (+ 1 (* (pow y 2) (+ 1/2 (* 1/6 (pow y 2)))))))
(fma.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1/6 binary64) (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/2 binary64) (fma.f64 y y #s(literal 1 binary64))))
(pow y 2)
(*.f64 y y)
(exp (pow y 2))
(pow.f64 (exp.f64 y) y)

rewrite91.0ms (0.4%)

Memory
19.5MiB live, 54.7MiB allocated
Iterations

Useful iterations: 4 (0.0ms)

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

eval2.0ms (0%)

Memory
1.8MiB live, 1.8MiB allocated
Compiler

Compiled 171 to 47 computations (72.5% saved)

prune2.0ms (0%)

Memory
1.9MiB live, 1.9MiB allocated
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New14317
Fresh000
Picked011
Done000
Total14418
Accuracy
100.0%
Counts
18 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(*.f64 x (exp.f64 (*.f64 y y)))
99.3%
(*.f64 x (exp.f64 y))
80.0%
(*.f64 x #s(approx (exp (* y y)) (fma.f64 y y #s(literal 1 binary64))))
50.7%
(*.f64 x #s(approx (exp (* y y)) #s(literal 1 binary64)))
Compiler

Compiled 29 to 24 computations (17.2% saved)

simplify3.0ms (0%)

Memory
1.2MiB live, 1.2MiB allocated
Algorithm
egg-herbie
Localize:

Found 7 expressions of interest:

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

Useful iterations: 0 (0.0ms)

IterNodesCost
01251
01751
12451
02451
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(*.f64 x #s(approx (exp (* y y)) #s(literal 1 binary64)))
x
#s(approx (exp (* y y)) #s(literal 1 binary64))
#s(literal 1 binary64)
(*.f64 x #s(approx (exp (* y y)) (fma.f64 y y #s(literal 1 binary64))))
x
#s(approx (exp (* y y)) (fma.f64 y y #s(literal 1 binary64)))
(fma.f64 y y #s(literal 1 binary64))
y
#s(literal 1 binary64)
(*.f64 x (exp.f64 y))
x
(exp.f64 y)
y
Outputs
(*.f64 x #s(approx (exp (* y y)) #s(literal 1 binary64)))
(*.f64 #s(approx (exp (* y y)) #s(literal 1 binary64)) x)
x
#s(approx (exp (* y y)) #s(literal 1 binary64))
#s(literal 1 binary64)
(*.f64 x #s(approx (exp (* y y)) (fma.f64 y y #s(literal 1 binary64))))
(*.f64 #s(approx (exp (* y y)) (fma.f64 y y #s(literal 1 binary64))) x)
x
#s(approx (exp (* y y)) (fma.f64 y y #s(literal 1 binary64)))
(fma.f64 y y #s(literal 1 binary64))
y
#s(literal 1 binary64)
(*.f64 x (exp.f64 y))
(*.f64 (exp.f64 y) x)
x
(exp.f64 y)
y

localize85.0ms (0.4%)

Memory
0.6MiB live, 38.7MiB allocated
Localize:

Found 7 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(exp.f64 y)
accuracy0.00390625
(*.f64 x (exp.f64 y))
accuracy0.0
(fma.f64 y y #s(literal 1 binary64))
accuracy0.00390625
(*.f64 x #s(approx (exp (* y y)) (fma.f64 y y #s(literal 1 binary64))))
accuracy15.960163518020709
#s(approx (exp (* y y)) (fma.f64 y y #s(literal 1 binary64)))
accuracy0.00390625
(*.f64 x #s(approx (exp (* y y)) #s(literal 1 binary64)))
accuracy31.745389251880344
#s(approx (exp (* y y)) #s(literal 1 binary64))
Samples
78.0ms256×0valid
Compiler

Compiled 40 to 11 computations (72.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 10.0ms
ival-mult: 5.0ms (50.8% of total)
ival-exp: 4.0ms (40.6% of total)
ival-add: 1.0ms (10.2% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series15.0ms (0.1%)

Memory
-32.0MiB live, 6.1MiB allocated
Counts
7 → 20
Calls
Call 1
Inputs
(*.f64 x #s(approx (exp (* y y)) #s(literal 1 binary64)))
#s(approx (exp (* y y)) #s(literal 1 binary64))
(*.f64 x #s(approx (exp (* y y)) (fma.f64 y y #s(literal 1 binary64))))
#s(approx (exp (* y y)) (fma.f64 y y #s(literal 1 binary64)))
(fma.f64 y y #s(literal 1 binary64))
(*.f64 x (exp.f64 y))
(exp.f64 y)
Outputs
(* x (exp (pow y 2)))
(* x (exp y))
x
(+ x (* x (pow y 2)))
(+ x (* (pow y 2) (+ x (* 1/2 (* x (pow y 2))))))
(+ x (* (pow y 2) (+ x (* (pow y 2) (+ (* 1/6 (* x (pow y 2))) (* 1/2 x))))))
1
(+ 1 (pow y 2))
(+ 1 (* (pow y 2) (+ 1 (* 1/2 (pow y 2)))))
(+ 1 (* (pow y 2) (+ 1 (* (pow y 2) (+ 1/2 (* 1/6 (pow y 2)))))))
(+ x (* x y))
(+ x (* y (+ x (* 1/2 (* x y)))))
(+ x (* y (+ x (* y (+ (* 1/6 (* x y)) (* 1/2 x))))))
(+ 1 y)
(+ 1 (* y (+ 1 (* 1/2 y))))
(+ 1 (* y (+ 1 (* y (+ 1/2 (* 1/6 y))))))
(exp (pow y 2))
(pow y 2)
(* (pow y 2) (+ 1 (/ 1 (pow y 2))))
(exp y)
Calls

6 calls:

TimeVariablePointExpression
11.0ms
x
@-inf
((* x (exp (* y y))) (exp (* y y)) (* x (exp (* y y))) (exp (* y y)) (+ (* y y) 1) (* x (exp y)) (exp y))
1.0ms
y
@0
((* x (exp (* y y))) (exp (* y y)) (* x (exp (* y y))) (exp (* y y)) (+ (* y y) 1) (* x (exp y)) (exp y))
1.0ms
x
@0
((* x (exp (* y y))) (exp (* y y)) (* x (exp (* y y))) (exp (* y y)) (+ (* y y) 1) (* x (exp y)) (exp y))
1.0ms
y
@inf
((* x (exp (* y y))) (exp (* y y)) (* x (exp (* y y))) (exp (* y y)) (+ (* y y) 1) (* x (exp y)) (exp y))
1.0ms
x
@inf
((* x (exp (* y y))) (exp (* y y)) (* x (exp (* y y))) (exp (* y y)) (+ (* y y) 1) (* x (exp y)) (exp y))

simplify14.2s (68.2%)

Memory
10.2MiB live, 124.1MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
061166
1186166
2470158
31122156
41595156
52133156
63050156
73600156
83867156
94194156
104884156
115511156
126675156
137960156
08028132
Stop Event
iter limit
node limit
Counts
20 → 19
Calls
Call 1
Inputs
(* x (exp (pow y 2)))
(* x (exp y))
x
(+ x (* x (pow y 2)))
(+ x (* (pow y 2) (+ x (* 1/2 (* x (pow y 2))))))
(+ x (* (pow y 2) (+ x (* (pow y 2) (+ (* 1/6 (* x (pow y 2))) (* 1/2 x))))))
1
(+ 1 (pow y 2))
(+ 1 (* (pow y 2) (+ 1 (* 1/2 (pow y 2)))))
(+ 1 (* (pow y 2) (+ 1 (* (pow y 2) (+ 1/2 (* 1/6 (pow y 2)))))))
(+ x (* x y))
(+ x (* y (+ x (* 1/2 (* x y)))))
(+ x (* y (+ x (* y (+ (* 1/6 (* x y)) (* 1/2 x))))))
(+ 1 y)
(+ 1 (* y (+ 1 (* 1/2 y))))
(+ 1 (* y (+ 1 (* y (+ 1/2 (* 1/6 y))))))
(exp (pow y 2))
(pow y 2)
(* (pow y 2) (+ 1 (/ 1 (pow y 2))))
(exp y)
Outputs
(* x (exp (pow y 2)))
(*.f64 (pow.f64 (exp.f64 y) y) x)
(* x (exp y))
(*.f64 (exp.f64 y) x)
x
(+ x (* x (pow y 2)))
(fma.f64 (*.f64 y y) x x)
(+ x (* (pow y 2) (+ x (* 1/2 (* x (pow y 2))))))
(*.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/2 binary64) (fma.f64 y y #s(literal 1 binary64))) x)
(+ x (* (pow y 2) (+ x (* (pow y 2) (+ (* 1/6 (* x (pow y 2))) (* 1/2 x))))))
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1/2 binary64)) y) x (/.f64 x y)) x)
1
#s(literal 1 binary64)
(+ 1 (pow y 2))
(fma.f64 y y #s(literal 1 binary64))
(+ 1 (* (pow y 2) (+ 1 (* 1/2 (pow y 2)))))
(fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/2 binary64) (fma.f64 y y #s(literal 1 binary64)))
(+ 1 (* (pow y 2) (+ 1 (* (pow y 2) (+ 1/2 (* 1/6 (pow y 2)))))))
(fma.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1/6 binary64) (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/2 binary64) (fma.f64 y y #s(literal 1 binary64))))
(+ x (* x y))
(fma.f64 y x x)
(+ x (* y (+ x (* 1/2 (* x y)))))
(fma.f64 (fma.f64 (*.f64 y x) #s(literal 1/2 binary64) x) y x)
(+ x (* y (+ x (* y (+ (* 1/6 (* x y)) (* 1/2 x))))))
(*.f64 (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)
(+ 1 y)
(+.f64 #s(literal 1 binary64) y)
(+ 1 (* y (+ 1 (* 1/2 y))))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal 1 binary64)) y #s(literal 1 binary64))
(+ 1 (* y (+ 1 (* y (+ 1/2 (* 1/6 y))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y #s(literal 1 binary64))
(exp (pow y 2))
(pow.f64 (exp.f64 y) y)
(pow y 2)
(*.f64 y y)
(* (pow y 2) (+ 1 (/ 1 (pow y 2))))
(fma.f64 y y #s(literal 1 binary64))
(exp y)
(exp.f64 y)

rewrite368.0ms (1.8%)

Memory
3.2MiB live, 177.4MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01244
01744
13944
216644
3122144
0845344
Stop Event
iter limit
node limit
iter limit
Counts
7 → 308
Calls
Call 1
Inputs
(*.f64 x #s(approx (exp (* y y)) #s(literal 1 binary64)))
#s(approx (exp (* y y)) #s(literal 1 binary64))
(*.f64 x #s(approx (exp (* y y)) (fma.f64 y y #s(literal 1 binary64))))
#s(approx (exp (* y y)) (fma.f64 y y #s(literal 1 binary64)))
(fma.f64 y y #s(literal 1 binary64))
(*.f64 x (exp.f64 y))
(exp.f64 y)
Outputs
(*.f64 #s(approx (exp (* y y)) #s(literal 1 binary64)) x)
(*.f64 x #s(approx (exp (* y y)) #s(literal 1 binary64)))
#s(approx (exp (* y y)) #s(literal 1 binary64))
(*.f64 #s(approx (exp (* y y)) (fma.f64 y y #s(literal 1 binary64))) x)
(*.f64 x #s(approx (exp (* y y)) (fma.f64 y y #s(literal 1 binary64))))
#s(approx (exp (* y y)) (fma.f64 y y #s(literal 1 binary64)))
(*.f64 (pow.f64 (pow.f64 (fma.f64 y y #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal -1/2 binary64)) (pow.f64 (pow.f64 (fma.f64 y y #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (/.f64 (fma.f64 y y #s(literal -1 binary64)) (-.f64 (pow.f64 y #s(literal 8 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64)) (pow.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (fma.f64 y y #s(literal -1 binary64)) (-.f64 (pow.f64 y #s(literal 12 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64)) (pow.f64 (+.f64 (+.f64 (pow.f64 y #s(literal 8 binary64)) #s(literal 1 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (fma.f64 y (-.f64 (pow.f64 y #s(literal 3 binary64)) y) #s(literal 1 binary64)) (-.f64 (pow.f64 y #s(literal 12 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64)) (pow.f64 (-.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (fma.f64 y (-.f64 (pow.f64 y #s(literal 3 binary64)) y) #s(literal 1 binary64)) (+.f64 (pow.f64 y #s(literal 18 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64)) (pow.f64 (-.f64 (+.f64 (pow.f64 y #s(literal 12 binary64)) #s(literal 1 binary64)) (pow.f64 y #s(literal 6 binary64))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) y) (fma.f64 y y #s(literal 1 binary64))) #s(literal -1 binary64)) (pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) #s(literal -1 binary64)))
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(+.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 6 binary64)))) (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -1 binary64))) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 6 binary64)))) (*.f64 y y)))
(+.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 6 binary64)))) (pow.f64 y #s(literal 4 binary64))) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 6 binary64)))) (fma.f64 y y #s(literal 1 binary64))))
(+.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 6 binary64)))) (fma.f64 y y #s(literal 1 binary64))) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 6 binary64)))) (pow.f64 y #s(literal 4 binary64))))
(+.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 6 binary64)))) (fma.f64 y y (pow.f64 y #s(literal 4 binary64)))) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 6 binary64)))) #s(literal 1 binary64)))
(+.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 6 binary64)))) #s(literal 1 binary64)) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 6 binary64)))) (fma.f64 y y (pow.f64 y #s(literal 4 binary64)))))
(+.f64 (*.f64 (/.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) (-.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1 binary64))) (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -1 binary64))) (*.f64 (/.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) (-.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1 binary64))) (*.f64 y y)))
(+.f64 (*.f64 (/.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) (-.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1 binary64))) (pow.f64 y #s(literal 4 binary64))) (*.f64 (/.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) (-.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1 binary64))) (fma.f64 y y #s(literal 1 binary64))))
(+.f64 (*.f64 (/.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) (-.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1 binary64))) (fma.f64 y y #s(literal 1 binary64))) (*.f64 (/.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) (-.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1 binary64))) (pow.f64 y #s(literal 4 binary64))))
(+.f64 (*.f64 (/.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) (-.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1 binary64))) (fma.f64 y y (pow.f64 y #s(literal 4 binary64)))) (*.f64 (/.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) (-.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64)))
(+.f64 (*.f64 (/.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) (-.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64)) (*.f64 (/.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) (-.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1 binary64))) (fma.f64 y y (pow.f64 y #s(literal 4 binary64)))))
(+.f64 (*.f64 (/.f64 (+.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1 binary64)) (-.f64 (pow.f64 y #s(literal 8 binary64)) (pow.f64 (fma.f64 y y #s(literal -1 binary64)) #s(literal 2 binary64)))) (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64))) (*.f64 (/.f64 (+.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1 binary64)) (-.f64 (pow.f64 y #s(literal 8 binary64)) (pow.f64 (fma.f64 y y #s(literal -1 binary64)) #s(literal 2 binary64)))) (*.f64 y y)))
(+.f64 (*.f64 (/.f64 (+.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1 binary64)) (-.f64 (pow.f64 y #s(literal 8 binary64)) (pow.f64 (fma.f64 y y #s(literal -1 binary64)) #s(literal 2 binary64)))) (pow.f64 y #s(literal 4 binary64))) (*.f64 (/.f64 (+.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1 binary64)) (-.f64 (pow.f64 y #s(literal 8 binary64)) (pow.f64 (fma.f64 y y #s(literal -1 binary64)) #s(literal 2 binary64)))) (fma.f64 y y #s(literal -1 binary64))))
(+.f64 (*.f64 (/.f64 (+.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal -1 binary64) (pow.f64 (fma.f64 y y #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 y #s(literal 12 binary64)))) (-.f64 (pow.f64 (fma.f64 y y #s(literal -1 binary64)) #s(literal 2 binary64)) (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 y #s(literal 6 binary64))))) (*.f64 (/.f64 (+.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal -1 binary64) (pow.f64 (fma.f64 y y #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 y #s(literal 12 binary64)))) (pow.f64 y #s(literal 8 binary64))))
(+.f64 (*.f64 (/.f64 (+.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal -1 binary64) (pow.f64 (fma.f64 y y #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 y #s(literal 12 binary64)))) (pow.f64 y #s(literal 8 binary64))) (*.f64 (/.f64 (+.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal -1 binary64) (pow.f64 (fma.f64 y y #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 y #s(literal 12 binary64)))) (-.f64 (pow.f64 (fma.f64 y y #s(literal -1 binary64)) #s(literal 2 binary64)) (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 y #s(literal 6 binary64))))))
(+.f64 (*.f64 (/.f64 (fma.f64 y y #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64)) (*.f64 (/.f64 (fma.f64 y y #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) y)) y))
(+.f64 (*.f64 (/.f64 (fma.f64 y y #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) y)) y) (*.f64 (/.f64 (fma.f64 y y #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64)))
(+.f64 (*.f64 (pow.f64 (fma.f64 y (-.f64 (pow.f64 y #s(literal 3 binary64)) y) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 y #s(literal 6 binary64))) (*.f64 (pow.f64 (fma.f64 y (-.f64 (pow.f64 y #s(literal 3 binary64)) y) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)))
(+.f64 (*.f64 (pow.f64 (fma.f64 y (-.f64 (pow.f64 y #s(literal 3 binary64)) y) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 (pow.f64 (fma.f64 y (-.f64 (pow.f64 y #s(literal 3 binary64)) y) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 y #s(literal 6 binary64))))
(+.f64 (*.f64 (pow.f64 (fma.f64 y y #s(literal -1 binary64)) #s(literal -1 binary64)) (fma.f64 y y (pow.f64 y #s(literal 4 binary64)))) (*.f64 (pow.f64 (fma.f64 y y #s(literal -1 binary64)) #s(literal -1 binary64)) (neg.f64 (fma.f64 y y #s(literal 1 binary64)))))
(+.f64 (*.f64 (pow.f64 (fma.f64 y y #s(literal -1 binary64)) #s(literal -1 binary64)) (fma.f64 y y (pow.f64 y #s(literal 4 binary64)))) (*.f64 (pow.f64 (fma.f64 y y #s(literal -1 binary64)) #s(literal -1 binary64)) (*.f64 (fma.f64 y y #s(literal 1 binary64)) #s(literal -1 binary64))))
(+.f64 (*.f64 (pow.f64 (fma.f64 y y #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)) (*.f64 (pow.f64 (fma.f64 y y #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 y #s(literal 4 binary64))))
(+.f64 (*.f64 (pow.f64 (fma.f64 y y #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 y #s(literal 4 binary64))) (*.f64 (pow.f64 (fma.f64 y y #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)))
(+.f64 (neg.f64 (pow.f64 (fma.f64 y y #s(literal -1 binary64)) #s(literal -1 binary64))) (/.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 y y #s(literal -1 binary64))))
(+.f64 (/.f64 #s(literal -1 binary64) (fma.f64 y y #s(literal -1 binary64))) (neg.f64 (/.f64 (neg.f64 (pow.f64 y #s(literal 4 binary64))) (fma.f64 y y #s(literal -1 binary64)))))
(+.f64 (pow.f64 (fma.f64 y (-.f64 (pow.f64 y #s(literal 3 binary64)) y) #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 (fma.f64 y (-.f64 (pow.f64 y #s(literal 3 binary64)) y) #s(literal 1 binary64)) #s(literal -1 binary64))))
(+.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 y y #s(literal -1 binary64))) (*.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (fma.f64 y y #s(literal -1 binary64)) #s(literal -1 binary64)))))
(+.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 y y #s(literal -1 binary64))) (*.f64 (neg.f64 (pow.f64 (-.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))) (+.f64 (fma.f64 y y (pow.f64 y #s(literal 4 binary64))) #s(literal 1 binary64))))
(+.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 y y #s(literal -1 binary64))) (*.f64 (neg.f64 (pow.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))) (fma.f64 y y #s(literal 1 binary64))))
(+.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 y y #s(literal -1 binary64))) (neg.f64 (pow.f64 (fma.f64 y y #s(literal -1 binary64)) #s(literal -1 binary64))))
(+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (neg.f64 y)) y))
(+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (*.f64 (neg.f64 y) y)) #s(literal 1 binary64)))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (*.f64 (neg.f64 y) y)))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (neg.f64 y) y) #s(literal -1 binary64)))
(+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 y) (neg.f64 y)))
(+.f64 #s(literal 1 binary64) (neg.f64 (*.f64 (neg.f64 y) y)))
(+.f64 #s(literal 1 binary64) (*.f64 y y))
(+.f64 (*.f64 y y) #s(literal 1 binary64))
(*.f64 (exp.f64 y) x)
(*.f64 x (exp.f64 y))
(pow.f64 (exp.f64 (sqrt.f64 y)) (sqrt.f64 y))
(pow.f64 (E.f64) y)
(pow.f64 (exp.f64 y) #s(literal 1 binary64))
(exp.f64 y)

eval135.0ms (0.6%)

Memory
-17.5MiB live, 68.4MiB allocated
Compiler

Compiled 9 888 to 1 308 computations (86.8% saved)

prune7.0ms (0%)

Memory
15.1MiB live, 15.1MiB allocated
Pruning

8 alts after pruning (4 fresh and 4 done)

PrunedKeptTotal
New3214325
Fresh000
Picked033
Done011
Total3218329
Accuracy
100.0%
Counts
329 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(*.f64 x (exp.f64 (*.f64 y y)))
99.3%
(*.f64 x (exp.f64 y))
80.0%
(*.f64 x #s(approx (exp (* y y)) (fma.f64 y y #s(literal 1 binary64))))
33.4%
(*.f64 x #s(approx (exp (* y y)) #s(approx (+ (* y y) 1) (*.f64 y y))))
50.7%
(*.f64 x #s(approx (exp (* y y)) #s(literal 1 binary64)))
84.7%
(*.f64 x #s(approx (exp y) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y #s(literal 1 binary64))))
81.5%
#s(approx (* x (exp (* y y))) (fma.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1/2 binary64)) y) x (/.f64 x y)) x))
61.7%
#s(approx (* x (exp y)) (fma.f64 y x x))
Compiler

Compiled 94 to 67 computations (28.7% saved)

simplify223.0ms (1.1%)

Memory
-21.9MiB live, 52.7MiB allocated
Algorithm
egg-herbie
Localize:

Found 14 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 y y)
cost-diff0
#s(approx (+ (* y y) 1) (*.f64 y y))
cost-diff0
#s(approx (exp (* y y)) #s(approx (+ (* y y) 1) (*.f64 y y)))
cost-diff0
(*.f64 x #s(approx (exp (* y y)) #s(approx (+ (* y y) 1) (*.f64 y y))))
cost-diff0
(fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64))
cost-diff0
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y #s(literal 1 binary64))
cost-diff0
#s(approx (exp y) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y #s(literal 1 binary64)))
cost-diff0
(*.f64 x #s(approx (exp y) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y #s(literal 1 binary64))))
cost-diff0
(fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1/2 binary64)) y) x (/.f64 x y))
cost-diff0
(pow.f64 y #s(literal 3 binary64))
cost-diff0
#s(approx (* x (exp (* y y))) (fma.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1/2 binary64)) y) x (/.f64 x y)) x))
cost-diff2
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1/2 binary64)) y) x (/.f64 x y)) x)
cost-diff0
(fma.f64 y x x)
cost-diff0
#s(approx (* x (exp y)) (fma.f64 y x x))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
030197
051197
186197
2166197
3431197
41277197
52569197
65725197
76691197
87151197
97425197
107808197
08146190
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
#s(approx (* x (exp y)) (fma.f64 y x x))
(fma.f64 y x x)
y
x
#s(approx (* x (exp (* y y))) (fma.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1/2 binary64)) y) x (/.f64 x y)) x))
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1/2 binary64)) y) x (/.f64 x y)) x)
(pow.f64 y #s(literal 3 binary64))
y
#s(literal 3 binary64)
(fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1/2 binary64)) y) x (/.f64 x y))
(*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1/2 binary64)) y)
(fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1/2 binary64))
#s(literal 1/6 binary64)
(*.f64 y y)
#s(literal 1/2 binary64)
x
(/.f64 x y)
(*.f64 x #s(approx (exp y) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y #s(literal 1 binary64))))
x
#s(approx (exp y) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y #s(literal 1 binary64)))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y #s(literal 1 binary64))
(fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64))
(fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64))
#s(literal 1/6 binary64)
y
#s(literal 1/2 binary64)
#s(literal 1 binary64)
(*.f64 x #s(approx (exp (* y y)) #s(approx (+ (* y y) 1) (*.f64 y y))))
x
#s(approx (exp (* y y)) #s(approx (+ (* y y) 1) (*.f64 y y)))
#s(approx (+ (* y y) 1) (*.f64 y y))
(*.f64 y y)
y
Outputs
#s(approx (* x (exp y)) (fma.f64 y x x))
(fma.f64 y x x)
y
x
#s(approx (* x (exp (* y y))) (fma.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1/2 binary64)) y) x (/.f64 x y)) x))
#s(approx (* x (exp (* y y))) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (pow.f64 y #s(literal 3 binary64)) y) y #s(literal 1 binary64)) x))
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1/2 binary64)) y) x (/.f64 x y)) x)
(*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (pow.f64 y #s(literal 3 binary64)) y) y #s(literal 1 binary64)) x)
(pow.f64 y #s(literal 3 binary64))
y
#s(literal 3 binary64)
(fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1/2 binary64)) y) x (/.f64 x y))
(fma.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) y) x (/.f64 x y))
(*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1/2 binary64)) y)
(*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) y)
(fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1/2 binary64))
(fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64))
#s(literal 1/6 binary64)
(*.f64 y y)
#s(literal 1/2 binary64)
x
(/.f64 x y)
(*.f64 x #s(approx (exp y) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y #s(literal 1 binary64))))
(*.f64 #s(approx (exp y) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y #s(literal 1 binary64))) x)
x
#s(approx (exp y) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y #s(literal 1 binary64)))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y #s(literal 1 binary64))
(fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64))
(fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64))
#s(literal 1/6 binary64)
y
#s(literal 1/2 binary64)
#s(literal 1 binary64)
(*.f64 x #s(approx (exp (* y y)) #s(approx (+ (* y y) 1) (*.f64 y y))))
(*.f64 #s(approx (exp (* y y)) #s(approx (+ (* y y) 1) (*.f64 y y))) x)
x
#s(approx (exp (* y y)) #s(approx (+ (* y y) 1) (*.f64 y y)))
#s(approx (+ (* y y) 1) (*.f64 y y))
(*.f64 y y)
y

localize195.0ms (0.9%)

Memory
4.5MiB live, 90.1MiB allocated
Localize:

Found 14 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(*.f64 y y)
accuracy0.00390625
(*.f64 x #s(approx (exp (* y y)) #s(approx (+ (* y y) 1) (*.f64 y y))))
accuracy15.960163518020709
#s(approx (exp (* y y)) #s(approx (+ (* y y) 1) (*.f64 y y)))
accuracy30.18911313153426
#s(approx (+ (* y y) 1) (*.f64 y y))
accuracy0.03125
(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))
accuracy0.03125
(fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64))
accuracy0.1484375
(fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64))
accuracy10.743617814392485
#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)))
accuracy0.09375
(fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1/2 binary64))
accuracy2.6151183851666353
(fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1/2 binary64)) y) x (/.f64 x y))
accuracy5.355564416612582
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1/2 binary64)) y) x (/.f64 x y)) x)
accuracy6.188273720284282
#s(approx (* x (exp (* y y))) (fma.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1/2 binary64)) y) x (/.f64 x y)) x))
accuracy0.0
(fma.f64 y x x)
accuracy24.293993562442278
#s(approx (* x (exp y)) (fma.f64 y x x))
Samples
175.0ms256×0valid
Compiler

Compiled 143 to 31 computations (78.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 92.0ms
ival-mult: 45.0ms (49% of total)
ival-add: 28.0ms (30.5% of total)
ival-exp: 6.0ms (6.5% of total)
const: 5.0ms (5.4% of total)
ival-pow: 4.0ms (4.4% of total)
ival-div: 3.0ms (3.3% of total)
exact: 1.0ms (1.1% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series18.0ms (0.1%)

Memory
16.0MiB live, 16.0MiB allocated
Counts
16 → 59
Calls
Call 1
Inputs
#s(approx (* x (exp y)) (fma.f64 y x x))
(fma.f64 y x x)
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1/2 binary64)) y) x (/.f64 x y)) x)
#s(approx (* x (exp (* y y))) (fma.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1/2 binary64)) y) x (/.f64 x y)) x))
(pow.f64 y #s(literal 3 binary64))
(fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1/2 binary64)) y) x (/.f64 x y))
(*.f64 x #s(approx (exp y) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y #s(literal 1 binary64))))
#s(approx (exp y) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y #s(literal 1 binary64)))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y #s(literal 1 binary64))
(fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64))
(*.f64 x #s(approx (exp (* y y)) #s(approx (+ (* y y) 1) (*.f64 y y))))
#s(approx (exp (* y y)) #s(approx (+ (* y y) 1) (*.f64 y y)))
#s(approx (+ (* y y) 1) (*.f64 y y))
(*.f64 y y)
(fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1/2 binary64))
(fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64))
Outputs
(* x (exp y))
(* x (+ 1 y))
(* x (+ 1 (* (pow y 3) (+ (* y (+ 1/2 (* 1/6 (pow y 2)))) (/ 1 y)))))
(* x (exp (pow y 2)))
(* x (+ (* y (+ 1/2 (* 1/6 (pow y 2)))) (/ 1 y)))
(* -1 (* x (- (* -1 y) 1)))
(* -1 (* x (- (* (pow y 3) (- (* -1 (* y (+ 1/2 (* 1/6 (pow y 2))))) (/ 1 y))) 1)))
(* -1 (* x (- (* -1 (* y (+ 1/2 (* 1/6 (pow y 2))))) (/ 1 y))))
x
(+ x (* x y))
(+ x (* y (+ x (* 1/2 (* x y)))))
(+ x (* y (+ x (* y (+ (* 1/6 (* x y)) (* 1/2 x))))))
(+ x (* x (pow y 2)))
(+ x (* (pow y 2) (+ x (* 1/2 (* x (pow y 2))))))
(+ x (* (pow y 2) (+ x (* (pow y 2) (+ (* 1/6 (* x (pow y 2))) (* 1/2 x))))))
(pow y 3)
(/ x y)
(/ (+ x (* 1/2 (* x (pow y 2)))) y)
(/ (+ x (* (pow y 2) (+ (* 1/6 (* x (pow y 2))) (* 1/2 x)))) y)
1
(+ 1 y)
(+ 1 (* y (+ 1 (* 1/2 y))))
(+ 1 (* y (+ 1 (* y (+ 1/2 (* 1/6 y))))))
(+ 1 (* 1/2 y))
(+ 1 (* y (+ 1/2 (* 1/6 y))))
(+ 1 (pow y 2))
(+ 1 (* (pow y 2) (+ 1 (* 1/2 (pow y 2)))))
(+ 1 (* (pow y 2) (+ 1 (* (pow y 2) (+ 1/2 (* 1/6 (pow y 2)))))))
(pow y 2)
1/2
(+ 1/2 (* 1/6 (pow y 2)))
(+ 1/2 (* 1/6 y))
(* x y)
(* y (+ x (/ x y)))
(* 1/6 (* x (pow y 6)))
(* (pow y 6) (+ (* 1/6 x) (* 1/2 (/ x (pow y 2)))))
(* (pow y 6) (+ (* 1/6 x) (+ (* 1/2 (/ x (pow y 2))) (/ x (pow y 4)))))
(* (pow y 6) (+ (* 1/6 x) (+ (* 1/2 (/ x (pow y 2))) (+ (/ x (pow y 4)) (/ x (pow y 6))))))
(* 1/6 (* x (pow y 3)))
(* (pow y 3) (+ (* 1/6 x) (* 1/2 (/ x (pow y 2)))))
(* (pow y 3) (+ (* 1/6 x) (+ (* 1/2 (/ x (pow y 2))) (/ x (pow y 4)))))
(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)))))
(exp (pow y 2))
(* (pow y 2) (+ 1 (/ 1 (pow y 2))))
(* (pow y 2) (+ 1/6 (* 1/2 (/ 1 (pow y 2)))))
(* 1/6 y)
(* y (+ 1/6 (* 1/2 (/ 1 y))))
(* -1 (* y (+ (* -1 x) (* -1 (/ x y)))))
(* -1 (* (pow y 3) (+ (* -1/2 (/ x (pow y 2))) (* -1/6 x))))
(* -1 (* (pow y 3) (+ (* -1 (/ x (pow y 4))) (+ (* -1/2 (/ x (pow y 2))) (* -1/6 x)))))
(* -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)))
Calls

6 calls:

TimeVariablePointExpression
4.0ms
x
@inf
((* x (exp y)) (+ (* y x) x) (+ (* (pow y 3) (+ (* (* (+ (* 1/6 (* y y)) 1/2) y) x) (/ x y))) x) (* x (exp (* y y))) (pow y 3) (+ (* (* (+ (* 1/6 (* y y)) 1/2) y) x) (/ x y)) (* x (exp y)) (exp y) (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (+ (* (+ (* 1/6 y) 1/2) y) 1) (* x (exp (* y y))) (exp (* y y)) (+ (* y y) 1) (* y y) (+ (* 1/6 (* y y)) 1/2) (+ (* 1/6 y) 1/2))
3.0ms
y
@-inf
((* x (exp y)) (+ (* y x) x) (+ (* (pow y 3) (+ (* (* (+ (* 1/6 (* y y)) 1/2) y) x) (/ x y))) x) (* x (exp (* y y))) (pow y 3) (+ (* (* (+ (* 1/6 (* y y)) 1/2) y) x) (/ x y)) (* x (exp y)) (exp y) (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (+ (* (+ (* 1/6 y) 1/2) y) 1) (* x (exp (* y y))) (exp (* y y)) (+ (* y y) 1) (* y y) (+ (* 1/6 (* y y)) 1/2) (+ (* 1/6 y) 1/2))
3.0ms
x
@-inf
((* x (exp y)) (+ (* y x) x) (+ (* (pow y 3) (+ (* (* (+ (* 1/6 (* y y)) 1/2) y) x) (/ x y))) x) (* x (exp (* y y))) (pow y 3) (+ (* (* (+ (* 1/6 (* y y)) 1/2) y) x) (/ x y)) (* x (exp y)) (exp y) (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (+ (* (+ (* 1/6 y) 1/2) y) 1) (* x (exp (* y y))) (exp (* y y)) (+ (* y y) 1) (* y y) (+ (* 1/6 (* y y)) 1/2) (+ (* 1/6 y) 1/2))
3.0ms
x
@0
((* x (exp y)) (+ (* y x) x) (+ (* (pow y 3) (+ (* (* (+ (* 1/6 (* y y)) 1/2) y) x) (/ x y))) x) (* x (exp (* y y))) (pow y 3) (+ (* (* (+ (* 1/6 (* y y)) 1/2) y) x) (/ x y)) (* x (exp y)) (exp y) (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (+ (* (+ (* 1/6 y) 1/2) y) 1) (* x (exp (* y y))) (exp (* y y)) (+ (* y y) 1) (* y y) (+ (* 1/6 (* y y)) 1/2) (+ (* 1/6 y) 1/2))
3.0ms
y
@inf
((* x (exp y)) (+ (* y x) x) (+ (* (pow y 3) (+ (* (* (+ (* 1/6 (* y y)) 1/2) y) x) (/ x y))) x) (* x (exp (* y y))) (pow y 3) (+ (* (* (+ (* 1/6 (* y y)) 1/2) y) x) (/ x y)) (* x (exp y)) (exp y) (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (+ (* (+ (* 1/6 y) 1/2) y) 1) (* x (exp (* y y))) (exp (* y y)) (+ (* y y) 1) (* y y) (+ (* 1/6 (* y y)) 1/2) (+ (* 1/6 y) 1/2))

simplify167.0ms (0.8%)

Memory
16.5MiB live, 203.2MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0160577
1523574
21678545
34372539
08186473
Stop Event
iter limit
node limit
Counts
59 → 58
Calls
Call 1
Inputs
(* x (exp y))
(* x (+ 1 y))
(* x (+ 1 (* (pow y 3) (+ (* y (+ 1/2 (* 1/6 (pow y 2)))) (/ 1 y)))))
(* x (exp (pow y 2)))
(* x (+ (* y (+ 1/2 (* 1/6 (pow y 2)))) (/ 1 y)))
(* -1 (* x (- (* -1 y) 1)))
(* -1 (* x (- (* (pow y 3) (- (* -1 (* y (+ 1/2 (* 1/6 (pow y 2))))) (/ 1 y))) 1)))
(* -1 (* x (- (* -1 (* y (+ 1/2 (* 1/6 (pow y 2))))) (/ 1 y))))
x
(+ x (* x y))
(+ x (* y (+ x (* 1/2 (* x y)))))
(+ x (* y (+ x (* y (+ (* 1/6 (* x y)) (* 1/2 x))))))
(+ x (* x (pow y 2)))
(+ x (* (pow y 2) (+ x (* 1/2 (* x (pow y 2))))))
(+ x (* (pow y 2) (+ x (* (pow y 2) (+ (* 1/6 (* x (pow y 2))) (* 1/2 x))))))
(pow y 3)
(/ x y)
(/ (+ x (* 1/2 (* x (pow y 2)))) y)
(/ (+ x (* (pow y 2) (+ (* 1/6 (* x (pow y 2))) (* 1/2 x)))) y)
1
(+ 1 y)
(+ 1 (* y (+ 1 (* 1/2 y))))
(+ 1 (* y (+ 1 (* y (+ 1/2 (* 1/6 y))))))
(+ 1 (* 1/2 y))
(+ 1 (* y (+ 1/2 (* 1/6 y))))
(+ 1 (pow y 2))
(+ 1 (* (pow y 2) (+ 1 (* 1/2 (pow y 2)))))
(+ 1 (* (pow y 2) (+ 1 (* (pow y 2) (+ 1/2 (* 1/6 (pow y 2)))))))
(pow y 2)
1/2
(+ 1/2 (* 1/6 (pow y 2)))
(+ 1/2 (* 1/6 y))
(* x y)
(* y (+ x (/ x y)))
(* 1/6 (* x (pow y 6)))
(* (pow y 6) (+ (* 1/6 x) (* 1/2 (/ x (pow y 2)))))
(* (pow y 6) (+ (* 1/6 x) (+ (* 1/2 (/ x (pow y 2))) (/ x (pow y 4)))))
(* (pow y 6) (+ (* 1/6 x) (+ (* 1/2 (/ x (pow y 2))) (+ (/ x (pow y 4)) (/ x (pow y 6))))))
(* 1/6 (* x (pow y 3)))
(* (pow y 3) (+ (* 1/6 x) (* 1/2 (/ x (pow y 2)))))
(* (pow y 3) (+ (* 1/6 x) (+ (* 1/2 (/ x (pow y 2))) (/ x (pow y 4)))))
(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)))))
(exp (pow y 2))
(* (pow y 2) (+ 1 (/ 1 (pow y 2))))
(* (pow y 2) (+ 1/6 (* 1/2 (/ 1 (pow y 2)))))
(* 1/6 y)
(* y (+ 1/6 (* 1/2 (/ 1 y))))
(* -1 (* y (+ (* -1 x) (* -1 (/ x y)))))
(* -1 (* (pow y 3) (+ (* -1/2 (/ x (pow y 2))) (* -1/6 x))))
(* -1 (* (pow y 3) (+ (* -1 (/ x (pow y 4))) (+ (* -1/2 (/ x (pow y 2))) (* -1/6 x)))))
(* -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)))
Outputs
(* x (exp y))
(*.f64 (exp.f64 y) x)
(* x (+ 1 y))
(fma.f64 y x x)
(* x (+ 1 (* (pow y 3) (+ (* y (+ 1/2 (* 1/6 (pow y 2)))) (/ 1 y)))))
(*.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (fma.f64 y y #s(literal 1 binary64))) x)
(* x (exp (pow y 2)))
(*.f64 (pow.f64 (exp.f64 y) y) x)
(* x (+ (* y (+ 1/2 (* 1/6 (pow y 2)))) (/ 1 y)))
(*.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) y (/.f64 #s(literal 1 binary64) y)) x)
(* -1 (* x (- (* -1 y) 1)))
(fma.f64 y x x)
(* -1 (* x (- (* (pow y 3) (- (* -1 (* y (+ 1/2 (* 1/6 (pow y 2))))) (/ 1 y))) 1)))
(*.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (fma.f64 y y #s(literal 1 binary64))) x)
(* -1 (* x (- (* -1 (* y (+ 1/2 (* 1/6 (pow y 2))))) (/ 1 y))))
(*.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) y (/.f64 #s(literal 1 binary64) y)) x)
x
(+ x (* x y))
(fma.f64 y x x)
(+ x (* y (+ x (* 1/2 (* x y)))))
(fma.f64 (fma.f64 (*.f64 y x) #s(literal 1/2 binary64) x) y x)
(+ x (* y (+ x (* y (+ (* 1/6 (* x y)) (* 1/2 x))))))
(fma.f64 (fma.f64 (*.f64 x (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64))) y x) y x)
(+ x (* x (pow y 2)))
(fma.f64 (*.f64 y x) y x)
(+ x (* (pow y 2) (+ x (* 1/2 (* x (pow y 2))))))
(fma.f64 (fma.f64 (*.f64 (*.f64 y x) y) #s(literal 1/2 binary64) x) (*.f64 y y) x)
(+ x (* (pow y 2) (+ x (* (pow y 2) (+ (* 1/6 (* x (pow y 2))) (* 1/2 x))))))
(fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) x) (*.f64 y y) x) (*.f64 y y) x)
(pow y 3)
(pow.f64 y #s(literal 3 binary64))
(/ x y)
(/.f64 x y)
(/ (+ x (* 1/2 (* x (pow y 2)))) y)
(/.f64 (fma.f64 (*.f64 (*.f64 y x) y) #s(literal 1/2 binary64) x) y)
(/ (+ x (* (pow y 2) (+ (* 1/6 (* x (pow y 2))) (* 1/2 x)))) y)
(/.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) x) (*.f64 y y) x) y)
1
#s(literal 1 binary64)
(+ 1 y)
(-.f64 y #s(literal -1 binary64))
(+ 1 (* y (+ 1 (* 1/2 y))))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal 1 binary64)) y #s(literal 1 binary64))
(+ 1 (* y (+ 1 (* y (+ 1/2 (* 1/6 y))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y #s(literal 1 binary64))
(+ 1 (* 1/2 y))
(fma.f64 #s(literal 1/2 binary64) y #s(literal 1 binary64))
(+ 1 (* y (+ 1/2 (* 1/6 y))))
(fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64))
(+ 1 (pow y 2))
(fma.f64 y y #s(literal 1 binary64))
(+ 1 (* (pow y 2) (+ 1 (* 1/2 (pow y 2)))))
(fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/2 binary64) (fma.f64 y y #s(literal 1 binary64)))
(+ 1 (* (pow y 2) (+ 1 (* (pow y 2) (+ 1/2 (* 1/6 (pow y 2)))))))
(fma.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (fma.f64 y y #s(literal 1 binary64)))
(pow y 2)
(*.f64 y y)
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* 1/6 (pow y 2)))
(fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64))
(+ 1/2 (* 1/6 y))
(fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64))
(* x y)
(*.f64 y x)
(* y (+ x (/ x y)))
(fma.f64 y x x)
(* 1/6 (* x (pow y 6)))
(*.f64 (*.f64 (pow.f64 y #s(literal 6 binary64)) x) #s(literal 1/6 binary64))
(* (pow y 6) (+ (* 1/6 x) (* 1/2 (/ x (pow y 2)))))
(*.f64 (*.f64 x (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) y) y) #s(literal 1/6 binary64))) (pow.f64 y #s(literal 6 binary64)))
(* (pow y 6) (+ (* 1/6 x) (+ (* 1/2 (/ x (pow y 2))) (/ x (pow y 4)))))
(*.f64 (fma.f64 x (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) y) y) #s(literal 1/6 binary64)) (/.f64 x (pow.f64 y #s(literal 4 binary64)))) (pow.f64 y #s(literal 6 binary64)))
(* (pow y 6) (+ (* 1/6 x) (+ (* 1/2 (/ x (pow y 2))) (+ (/ x (pow y 4)) (/ x (pow y 6))))))
(*.f64 (fma.f64 x (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) y) y) #s(literal 1/6 binary64)) (+.f64 (/.f64 x (pow.f64 y #s(literal 6 binary64))) (/.f64 x (pow.f64 y #s(literal 4 binary64))))) (pow.f64 y #s(literal 6 binary64)))
(* 1/6 (* x (pow y 3)))
(*.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 y #s(literal 3 binary64))) x)
(* (pow y 3) (+ (* 1/6 x) (* 1/2 (/ x (pow y 2)))))
(*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) x) y)
(* (pow y 3) (+ (* 1/6 x) (+ (* 1/2 (/ x (pow y 2))) (/ x (pow y 4)))))
(*.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) y (/.f64 #s(literal 1 binary64) y)) x)
(exp y)
(exp.f64 y)
(* 1/6 (pow y 3))
(*.f64 #s(literal 1/6 binary64) (pow.f64 y #s(literal 3 binary64)))
(* (pow y 3) (+ 1/6 (* 1/2 (/ 1 y))))
(*.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) (*.f64 y y))
(* (pow y 3) (+ 1/6 (+ (* 1/2 (/ 1 y)) (/ 1 (pow y 2)))))
(fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) (*.f64 y y) y)
(* (pow y 3) (+ 1/6 (+ (* 1/2 (/ 1 y)) (+ (/ 1 (pow y 2)) (/ 1 (pow y 3))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y #s(literal 1 binary64))
(* 1/6 (pow y 2))
(*.f64 (*.f64 y y) #s(literal 1/6 binary64))
(* (pow y 2) (+ 1/6 (* 1/2 (/ 1 y))))
(*.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y)
(* (pow y 2) (+ 1/6 (+ (* 1/2 (/ 1 y)) (/ 1 (pow y 2)))))
(fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64))
(exp (pow y 2))
(pow.f64 (exp.f64 y) y)
(* (pow y 2) (+ 1 (/ 1 (pow y 2))))
(fma.f64 y y #s(literal 1 binary64))
(* (pow y 2) (+ 1/6 (* 1/2 (/ 1 (pow y 2)))))
(fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64))
(* 1/6 y)
(*.f64 #s(literal 1/6 binary64) y)
(* y (+ 1/6 (* 1/2 (/ 1 y))))
(fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64))
(* -1 (* y (+ (* -1 x) (* -1 (/ x y)))))
(fma.f64 y x x)
(* -1 (* (pow y 3) (+ (* -1/2 (/ x (pow y 2))) (* -1/6 x))))
(*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) x) y)
(* -1 (* (pow y 3) (+ (* -1 (/ x (pow y 4))) (+ (* -1/2 (/ x (pow y 2))) (* -1/6 x)))))
(*.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) y (/.f64 #s(literal 1 binary64) y)) x)
(* -1 (* (pow y 3) (- (* -1 (/ (+ 1/2 (/ 1 y)) y)) 1/6)))
(*.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1/2 binary64)) y) #s(literal -1/6 binary64)) (pow.f64 y #s(literal 3 binary64)))
(* -1 (* (pow y 3) (- (* -1 (/ (+ 1/2 (+ (/ 1 y) (/ 1 (pow y 2)))) y)) 1/6)))
(*.f64 (-.f64 (/.f64 (fma.f64 (-.f64 y #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) y) y) #s(literal 1/2 binary64)) y) #s(literal -1/6 binary64)) (pow.f64 y #s(literal 3 binary64)))

rewrite238.0ms (1.1%)

Memory
-18.6MiB live, 271.0MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
030169
051169
1192169
21408169
08401166
Stop Event
iter limit
node limit
iter limit
Counts
16 → 378
Calls
Call 1
Inputs
#s(approx (* x (exp y)) (fma.f64 y x x))
(fma.f64 y x x)
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1/2 binary64)) y) x (/.f64 x y)) x)
#s(approx (* x (exp (* y y))) (fma.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1/2 binary64)) y) x (/.f64 x y)) x))
(pow.f64 y #s(literal 3 binary64))
(fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1/2 binary64)) y) x (/.f64 x y))
(*.f64 x #s(approx (exp y) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y #s(literal 1 binary64))))
#s(approx (exp y) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y #s(literal 1 binary64)))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y #s(literal 1 binary64))
(fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64))
(*.f64 x #s(approx (exp (* y y)) #s(approx (+ (* y y) 1) (*.f64 y y))))
#s(approx (exp (* y y)) #s(approx (+ (* y y) 1) (*.f64 y y)))
#s(approx (+ (* y y) 1) (*.f64 y y))
(*.f64 y y)
(fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1/2 binary64))
(fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64))
Outputs
#s(approx (* x (exp y)) (fma.f64 y x x))
(*.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x (*.f64 y x))))
(*.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 y x (neg.f64 x)))))
(*.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 y x) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 x (-.f64 x (*.f64 y x)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))))))
(*.f64 (+.f64 #s(literal 1 binary64) y) x)
(*.f64 (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (*.f64 x x)) (pow.f64 (fma.f64 y x (neg.f64 x)) #s(literal -1 binary64)))
(*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x x (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (*.f64 (*.f64 y x) x)))))
(*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) (pow.f64 (fma.f64 x (-.f64 x (*.f64 y x)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (fma.f64 y x x))
(*.f64 x (+.f64 #s(literal 1 binary64) y))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y x x)) #s(literal -1 binary64))
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (fma.f64 y x (neg.f64 x))) (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (fma.f64 y x (neg.f64 x)))) (*.f64 (/.f64 (*.f64 x x) (fma.f64 y x (neg.f64 x))) (/.f64 (*.f64 x x) (fma.f64 y x (neg.f64 x))))) (+.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (fma.f64 y x (neg.f64 x))) (/.f64 (*.f64 x x) (fma.f64 y x (neg.f64 x)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (fma.f64 y x (neg.f64 x))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 x x) (fma.f64 y x (neg.f64 x))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (fma.f64 y x (neg.f64 x))) (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (fma.f64 y x (neg.f64 x))) (fma.f64 (/.f64 (*.f64 x x) (fma.f64 y x (neg.f64 x))) (/.f64 (*.f64 x x) (fma.f64 y x (neg.f64 x))) (*.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (fma.f64 y x (neg.f64 x))) (/.f64 (*.f64 x x) (fma.f64 y x (neg.f64 x)))))))
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))) (neg.f64 (-.f64 x (*.f64 y x))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (*.f64 x x)))) (neg.f64 (neg.f64 (fma.f64 y x (neg.f64 x)))))
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 y x) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 x (-.f64 x (*.f64 y x)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))))))
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (fma.f64 y x (neg.f64 x))) (*.f64 (fma.f64 y x (neg.f64 x)) (*.f64 x x))) (*.f64 (fma.f64 y x (neg.f64 x)) (fma.f64 y x (neg.f64 x))))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (-.f64 x (*.f64 y x)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (*.f64 x x))) (neg.f64 (fma.f64 y x (neg.f64 x))))
(/.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 y x) #s(literal 3 binary64)))) (neg.f64 (fma.f64 x x (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (*.f64 (*.f64 y x) x)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 y x) #s(literal 3 binary64)))) (neg.f64 (fma.f64 x (-.f64 x (*.f64 y x)) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y x x))))
(/.f64 (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (*.f64 x x)) (fma.f64 y x (neg.f64 x)))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) (fma.f64 x x (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (*.f64 (*.f64 y x) x))))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) (fma.f64 x (-.f64 x (*.f64 y x)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (*.f64 y x)) (-.f64 (*.f64 x x) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (*.f64 (*.f64 y x) x))) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 y x) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y x x)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y x x)))
(fma.f64 #s(literal -1 binary64) (neg.f64 x) (*.f64 y x))
(fma.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (pow.f64 (fma.f64 y x (neg.f64 x)) #s(literal -1 binary64)) (neg.f64 (/.f64 (*.f64 x x) (fma.f64 y x (neg.f64 x)))))
(fma.f64 #s(literal 1 binary64) x (*.f64 y x))
(fma.f64 y x x)
(fma.f64 x #s(literal 1 binary64) (*.f64 y x))
(fma.f64 x y x)
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (*.f64 y x))) (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (-.f64 x (*.f64 y x))))
(-.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (fma.f64 y x (neg.f64 x))) (/.f64 (*.f64 x x) (fma.f64 y x (neg.f64 x))))
(+.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (fma.f64 y x (neg.f64 x))) (neg.f64 (/.f64 (*.f64 x x) (fma.f64 y x (neg.f64 x)))))
(+.f64 (*.f64 y x) x)
(+.f64 x (*.f64 y x))
(*.f64 (-.f64 (*.f64 x x) (*.f64 (pow.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) y) x (/.f64 x y)) #s(literal 2 binary64)) (pow.f64 y #s(literal 6 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 x (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) y) x (/.f64 x y)) (pow.f64 y #s(literal 3 binary64))))))
(*.f64 (neg.f64 (fma.f64 (pow.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) y) x (/.f64 x y)) #s(literal 2 binary64)) (pow.f64 y #s(literal 6 binary64)) (*.f64 (neg.f64 x) x))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) y) x (/.f64 x y)) (pow.f64 y #s(literal 3 binary64)) (neg.f64 x)))))
(*.f64 (neg.f64 (fma.f64 (pow.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) y) x (/.f64 x y)) #s(literal 3 binary64)) (pow.f64 y #s(literal 9 binary64)) (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 x (-.f64 x (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) y) x (/.f64 x y)) (pow.f64 y #s(literal 3 binary64)))) (*.f64 (pow.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) y) x (/.f64 x y)) #s(literal 2 binary64)) (pow.f64 y #s(literal 6 binary64)))))))
(*.f64 (fma.f64 (pow.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) y) x (/.f64 x y)) #s(literal 2 binary64)) (pow.f64 y #s(literal 6 binary64)) (*.f64 (neg.f64 x) x)) (pow.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) y) x (/.f64 x y)) (pow.f64 y #s(literal 3 binary64)) (neg.f64 x)) #s(literal -1 binary64)))
(*.f64 (fma.f64 (pow.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) y) x (/.f64 x y)) #s(literal 3 binary64)) (pow.f64 y #s(literal 9 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x x (-.f64 (*.f64 (pow.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) y) x (/.f64 x y)) #s(literal 2 binary64)) (pow.f64 y #s(literal 6 binary64))) (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) y) x (/.f64 x y)) (*.f64 (pow.f64 y #s(literal 3 binary64)) x))))))
(*.f64 (fma.f64 (pow.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) y) x (/.f64 x y)) #s(literal 3 binary64)) (pow.f64 y #s(literal 9 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (fma.f64 x (-.f64 x (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) y) x (/.f64 x y)) (pow.f64 y #s(literal 3 binary64)))) (*.f64 (pow.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) y) x (/.f64 x y)) #s(literal 2 binary64)) (pow.f64 y #s(literal 6 binary64)))) #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) y) x (/.f64 x y)) (pow.f64 y #s(literal 3 binary64)) x))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) y) x (/.f64 x y)) (pow.f64 y #s(literal 3 binary64)) x)) #s(literal -1 binary64))
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 (pow.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) y) x (/.f64 x y)) #s(literal 2 binary64)) (pow.f64 y #s(literal 6 binary64))) (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) y) x (/.f64 x y)) (pow.f64 y #s(literal 3 binary64)) (neg.f64 x))) (/.f64 (*.f64 (pow.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) y) x (/.f64 x y)) #s(literal 2 binary64)) (pow.f64 y #s(literal 6 binary64))) (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) y) x (/.f64 x y)) (pow.f64 y #s(literal 3 binary64)) (neg.f64 x)))) (*.f64 (/.f64 (*.f64 x x) (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) y) x (/.f64 x y)) (pow.f64 y #s(literal 3 binary64)) (neg.f64 x))) (/.f64 (*.f64 x x) (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) y) x (/.f64 x y)) (pow.f64 y #s(literal 3 binary64)) (neg.f64 x))))) (+.f64 (/.f64 (*.f64 (pow.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) y) x (/.f64 x y)) #s(literal 2 binary64)) (pow.f64 y #s(literal 6 binary64))) (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) y) x (/.f64 x y)) (pow.f64 y #s(literal 3 binary64)) (neg.f64 x))) (/.f64 (*.f64 x x) (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) y) x (/.f64 x y)) (pow.f64 y #s(literal 3 binary64)) (neg.f64 x)))))
(/.f64 (-.f64 (*.f64 (+.f64 x (*.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) x) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) y))) (+.f64 x (*.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) x) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) y)))) (pow.f64 (*.f64 x (*.f64 y y)) #s(literal 2 binary64))) (-.f64 (+.f64 x (*.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) x) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) y))) (*.f64 x (*.f64 y y))))
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eval59.0ms (0.3%)

Memory
-13.2MiB live, 143.3MiB allocated
Compiler

Compiled 16 055 to 1 999 computations (87.5% saved)

prune17.0ms (0.1%)

Memory
9.3MiB live, 48.1MiB allocated
Pruning

17 alts after pruning (12 fresh and 5 done)

PrunedKeptTotal
New42112433
Fresh000
Picked224
Done134
Total42417441
Accuracy
100.0%
Counts
441 → 17
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.3%
(*.f64 x (exp.f64 y))
80.0%
(*.f64 x #s(approx (exp (* y y)) (fma.f64 y y #s(literal 1 binary64))))
33.4%
(*.f64 x #s(approx (exp (* y y)) #s(approx (+ (* y y) 1) (*.f64 y y))))
50.7%
(*.f64 x #s(approx (exp (* y y)) #s(literal 1 binary64)))
85.0%
(*.f64 x #s(approx (exp y) (fma.f64 #s(approx (+ (* (+ (* 1/6 y) 1/2) y) 1) (*.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y)) y #s(literal 1 binary64))))
85.0%
(*.f64 x #s(approx (exp y) (fma.f64 #s(approx (+ (* (+ (* 1/6 y) 1/2) y) 1) (*.f64 (*.f64 y y) #s(literal 1/6 binary64))) y #s(literal 1 binary64))))
39.2%
(*.f64 x #s(approx (exp y) #s(approx (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) (*.f64 y y) y))))
38.7%
(*.f64 x #s(approx (exp y) #s(approx (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (*.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) (*.f64 y y)))))
90.3%
#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) y) x) (*.f64 y y)) y (fma.f64 x (*.f64 y y) x)))
90.3%
#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) y) x) y) (*.f64 y y) (fma.f64 x (*.f64 y y) x)))
81.5%
#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 (*.f64 y y) y) (fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1/2 binary64)) y) x (/.f64 x y)) x))
90.3%
#s(approx (* x (exp (* y y))) #s(approx (+ (* (pow y 3) (+ (* (* (+ (* 1/6 (* y y)) 1/2) y) x) (/ x y))) x) (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) x) (*.f64 y y) x) (*.f64 y y) x)))
86.5%
#s(approx (* x (exp (* y y))) #s(approx (+ (* (pow y 3) (+ (* (* (+ (* 1/6 (* y y)) 1/2) y) x) (/ x y))) x) (fma.f64 (fma.f64 (*.f64 (*.f64 y x) y) #s(literal 1/2 binary64) x) (*.f64 y y) x)))
70.9%
#s(approx (* x (exp (* y y))) #s(approx (+ (* (pow y 3) (+ (* (* (+ (* 1/6 (* y y)) 1/2) y) x) (/ x y))) x) (fma.f64 (*.f64 y x) y x)))
80.6%
#s(approx (* x (exp y)) (fma.f64 (fma.f64 (*.f64 x (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64))) y x) y x))
61.7%
#s(approx (* x (exp y)) (fma.f64 y x x))
16.2%
#s(approx (* x (exp y)) #s(approx (+ (* y x) x) (*.f64 y x)))
Compiler

Compiled 732 to 463 computations (36.7% saved)

simplify154.0ms (0.7%)

Memory
18.7MiB live, 209.0MiB allocated
Algorithm
egg-herbie
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 x (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)))
cost-diff0
(fma.f64 (*.f64 x (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64))) y x)
cost-diff0
(fma.f64 (fma.f64 (*.f64 x (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64))) y x) y x)
cost-diff0
#s(approx (* x (exp y)) (fma.f64 (fma.f64 (*.f64 x (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64))) y x) y x))
cost-diff0
(fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) (*.f64 y y) y)
cost-diff0
#s(approx (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) (*.f64 y y) y))
cost-diff0
#s(approx (exp y) #s(approx (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) (*.f64 y y) y)))
cost-diff0
(*.f64 x #s(approx (exp y) #s(approx (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) (*.f64 y y) y))))
cost-diff0
(*.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) (*.f64 y y))
cost-diff0
#s(approx (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (*.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) (*.f64 y y)))
cost-diff0
#s(approx (exp y) #s(approx (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (*.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) (*.f64 y y))))
cost-diff0
(*.f64 x #s(approx (exp y) #s(approx (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (*.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) (*.f64 y y)))))
cost-diff0
(*.f64 y x)
cost-diff0
#s(approx (+ (* y x) x) (*.f64 y x))
cost-diff0
#s(approx (* x (exp y)) #s(approx (+ (* y x) x) (*.f64 y x)))
cost-diff0
(fma.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) x) (*.f64 y y) x)
cost-diff0
#s(approx (+ (* (pow y 3) (+ (* (* (+ (* 1/6 (* y y)) 1/2) y) x) (/ x y))) x) (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) x) (*.f64 y y) x) (*.f64 y y) x))
cost-diff0
#s(approx (* x (exp (* y y))) #s(approx (+ (* (pow y 3) (+ (* (* (+ (* 1/6 (* y y)) 1/2) y) x) (/ x y))) x) (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) x) (*.f64 y y) x) (*.f64 y y) x)))
cost-diff2
(fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) x) (*.f64 y y) x) (*.f64 y y) x)
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
051403
071401
1136395
2284395
3693395
41885391
53275391
65603391
76317391
86599391
96880391
107259391
117745391
08147373
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
#s(approx (* x (exp (* y y))) #s(approx (+ (* (pow y 3) (+ (* (* (+ (* 1/6 (* y y)) 1/2) y) x) (/ x y))) x) (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) x) (*.f64 y y) x) (*.f64 y y) x)))
#s(approx (+ (* (pow y 3) (+ (* (* (+ (* 1/6 (* y y)) 1/2) y) x) (/ x y))) x) (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) x) (*.f64 y y) x) (*.f64 y y) x))
(fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) x) (*.f64 y y) x) (*.f64 y y) x)
(fma.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) x) (*.f64 y y) x)
(*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) x)
(fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64))
(*.f64 y y)
y
#s(literal 1/6 binary64)
#s(literal 1/2 binary64)
x
#s(approx (* x (exp y)) #s(approx (+ (* y x) x) (*.f64 y x)))
#s(approx (+ (* y x) x) (*.f64 y x))
(*.f64 y x)
y
x
(*.f64 x #s(approx (exp y) #s(approx (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (*.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) (*.f64 y y)))))
x
#s(approx (exp y) #s(approx (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (*.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) (*.f64 y y))))
#s(approx (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (*.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) (*.f64 y y)))
(*.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) (*.f64 y y))
(fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64))
#s(literal 1/6 binary64)
y
#s(literal 1/2 binary64)
(*.f64 y y)
(*.f64 x #s(approx (exp y) #s(approx (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) (*.f64 y y) y))))
x
#s(approx (exp y) #s(approx (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) (*.f64 y y) y)))
#s(approx (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) (*.f64 y y) y))
(fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) (*.f64 y y) y)
(fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64))
#s(literal 1/6 binary64)
y
#s(literal 1/2 binary64)
(*.f64 y y)
#s(approx (* x (exp y)) (fma.f64 (fma.f64 (*.f64 x (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64))) y x) y x))
(fma.f64 (fma.f64 (*.f64 x (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64))) y x) y x)
(fma.f64 (*.f64 x (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64))) y x)
(*.f64 x (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)))
x
(fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64))
#s(literal 1/6 binary64)
y
#s(literal 1/2 binary64)
Outputs
#s(approx (* x (exp (* y y))) #s(approx (+ (* (pow y 3) (+ (* (* (+ (* 1/6 (* y y)) 1/2) y) x) (/ x y))) x) (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) x) (*.f64 y y) x) (*.f64 y y) x)))
#s(approx (* x (exp (* y y))) #s(approx (+ (* (pow y 3) (+ (* (* (+ (* 1/6 (* y y)) 1/2) y) x) (/ x y))) x) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (pow.f64 y #s(literal 3 binary64)) y) y #s(literal 1 binary64)) x)))
#s(approx (+ (* (pow y 3) (+ (* (* (+ (* 1/6 (* y y)) 1/2) y) x) (/ x y))) x) (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) x) (*.f64 y y) x) (*.f64 y y) x))
#s(approx (+ (* (pow y 3) (+ (* (* (+ (* 1/6 (* y y)) 1/2) y) x) (/ x y))) x) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (pow.f64 y #s(literal 3 binary64)) y) y #s(literal 1 binary64)) x))
(fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) x) (*.f64 y y) x) (*.f64 y y) x)
(*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (pow.f64 y #s(literal 3 binary64)) y) y #s(literal 1 binary64)) x)
(fma.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) x) (*.f64 y y) x)
(fma.f64 (*.f64 (*.f64 y x) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) x)
(*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) x)
(fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64))
(*.f64 y y)
y
#s(literal 1/6 binary64)
#s(literal 1/2 binary64)
x
#s(approx (* x (exp y)) #s(approx (+ (* y x) x) (*.f64 y x)))
#s(approx (+ (* y x) x) (*.f64 y x))
(*.f64 y x)
y
x
(*.f64 x #s(approx (exp y) #s(approx (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (*.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) (*.f64 y y)))))
(*.f64 #s(approx (exp y) #s(approx (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (*.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) (*.f64 y y)))) x)
x
#s(approx (exp y) #s(approx (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (*.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) (*.f64 y y))))
#s(approx (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (*.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) (*.f64 y y)))
(*.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) (*.f64 y y))
(fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64))
#s(literal 1/6 binary64)
y
#s(literal 1/2 binary64)
(*.f64 y y)
(*.f64 x #s(approx (exp y) #s(approx (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) (*.f64 y y) y))))
(*.f64 #s(approx (exp y) #s(approx (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) (*.f64 y y) y))) x)
x
#s(approx (exp y) #s(approx (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) (*.f64 y y) y)))
#s(approx (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) (*.f64 y y) y))
(fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) (*.f64 y y) y)
(fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64))
#s(literal 1/6 binary64)
y
#s(literal 1/2 binary64)
(*.f64 y y)
#s(approx (* x (exp y)) (fma.f64 (fma.f64 (*.f64 x (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64))) y x) y x))
#s(approx (* x (exp y)) (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) x) y x) y x))
(fma.f64 (fma.f64 (*.f64 x (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64))) y x) y x)
(fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) x) y x) y x)
(fma.f64 (*.f64 x (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64))) y x)
(fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) x) y x)
(*.f64 x (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)))
(*.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) x)
x
(fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64))
#s(literal 1/6 binary64)
y
#s(literal 1/2 binary64)

localize157.0ms (0.7%)

Memory
-11.7MiB live, 196.3MiB allocated
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
accuracy0.09765625
(fma.f64 (*.f64 x (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64))) y x)
accuracy0.09765625
(*.f64 x (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)))
accuracy0.1484375
(fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64))
accuracy12.005040578189078
#s(approx (* x (exp y)) (fma.f64 (fma.f64 (*.f64 x (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64))) y x) y x))
accuracy0.0546875
(fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) (*.f64 y y) y)
accuracy0.1484375
(fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64))
accuracy10.743617814392485
#s(approx (exp y) #s(approx (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) (*.f64 y y) y)))
accuracy29.7539344682052
#s(approx (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) (*.f64 y y) y))
accuracy0.0703125
(*.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) (*.f64 y y))
accuracy0.1484375
(fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64))
accuracy10.743617814392485
#s(approx (exp y) #s(approx (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (*.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) (*.f64 y y))))
accuracy30.202046260266858
#s(approx (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (*.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) (*.f64 y y)))
accuracy0.0
(*.f64 y x)
accuracy24.293993562442278
#s(approx (* x (exp y)) #s(approx (+ (* y x) x) (*.f64 y x)))
accuracy29.875858049891384
#s(approx (+ (* y x) x) (*.f64 y x))
accuracy0.0625
(fma.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) x) (*.f64 y y) x)
accuracy0.09375
(fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64))
accuracy5.8553699927133875
(*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) x)
accuracy6.188273720284282
#s(approx (* x (exp (* y y))) #s(approx (+ (* (pow y 3) (+ (* (* (+ (* 1/6 (* y y)) 1/2) y) x) (/ x y))) x) (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) x) (*.f64 y y) x) (*.f64 y y) x)))
Samples
112.0ms256×0valid
Compiler

Compiled 230 to 44 computations (80.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 68.0ms
ival-mult: 27.0ms (39.8% of total)
ival-add: 17.0ms (25.1% of total)
const: 15.0ms (22.1% of total)
ival-exp: 4.0ms (5.9% of total)
ival-pow: 3.0ms (4.4% of total)
ival-div: 2.0ms (2.9% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series29.0ms (0.1%)

Memory
6.9MiB live, 46.5MiB allocated
Counts
22 → 78
Calls
Call 1
Inputs
(fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) x) (*.f64 y y) x) (*.f64 y y) x)
#s(approx (* x (exp (* y y))) #s(approx (+ (* (pow y 3) (+ (* (* (+ (* 1/6 (* y y)) 1/2) y) x) (/ x y))) x) (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) x) (*.f64 y y) x) (*.f64 y y) x)))
#s(approx (+ (* (pow y 3) (+ (* (* (+ (* 1/6 (* y y)) 1/2) y) x) (/ x y))) x) (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) x) (*.f64 y y) x) (*.f64 y y) x))
(fma.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) x) (*.f64 y y) x)
#s(approx (* x (exp y)) #s(approx (+ (* y x) x) (*.f64 y x)))
#s(approx (+ (* y x) x) (*.f64 y x))
(*.f64 y x)
(*.f64 x #s(approx (exp y) #s(approx (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (*.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) (*.f64 y y)))))
#s(approx (exp y) #s(approx (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (*.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) (*.f64 y y))))
#s(approx (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (*.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) (*.f64 y y)))
(*.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) (*.f64 y y))
(*.f64 x #s(approx (exp y) #s(approx (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) (*.f64 y y) y))))
#s(approx (exp y) #s(approx (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) (*.f64 y y) y)))
#s(approx (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) (*.f64 y y) y))
(fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) (*.f64 y y) y)
#s(approx (* x (exp y)) (fma.f64 (fma.f64 (*.f64 x (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64))) y x) y x))
(fma.f64 (fma.f64 (*.f64 x (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64))) y x) y x)
(fma.f64 (*.f64 x (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64))) y x)
(*.f64 x (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)))
(*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) x)
(fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64))
(fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64))
Outputs
(* x (+ 1 (* (pow y 2) (+ 1 (* (pow y 2) (+ 1/2 (* 1/6 (pow y 2))))))))
(* x (exp (pow y 2)))
(* x (+ 1 (* (pow y 3) (+ (* y (+ 1/2 (* 1/6 (pow y 2)))) (/ 1 y)))))
(* x (+ 1 (* (pow y 2) (+ 1/2 (* 1/6 (pow y 2))))))
(* x (exp y))
(* x (+ 1 y))
(* x y)
(* x (+ 1 (* y (+ 1 (* y (+ 1/2 (* 1/6 y)))))))
(* x (+ 1 (* y (+ 1/2 (* 1/6 y)))))
(* x (+ 1/2 (* 1/6 y)))
(* x (+ 1/2 (* 1/6 (pow y 2))))
(* -1 (* x (- (* (pow y 2) (- (* -1 (* (pow y 2) (+ 1/2 (* 1/6 (pow y 2))))) 1)) 1)))
(* -1 (* x (- (* (pow y 3) (- (* -1 (* y (+ 1/2 (* 1/6 (pow y 2))))) (/ 1 y))) 1)))
(* -1 (* x (- (* -1 (* (pow y 2) (+ 1/2 (* 1/6 (pow y 2))))) 1)))
(* -1 (* x (- (* -1 y) 1)))
(* -1 (* x (- (* y (- (* -1 (* y (+ 1/2 (* 1/6 y)))) 1)) 1)))
(* -1 (* x (- (* -1 (* y (+ 1/2 (* 1/6 y)))) 1)))
x
(+ x (* x (pow y 2)))
(+ x (* (pow y 2) (+ x (* 1/2 (* x (pow y 2))))))
(+ x (* (pow y 2) (+ x (* (pow y 2) (+ (* 1/6 (* x (pow y 2))) (* 1/2 x))))))
(+ x (* 1/2 (* x (pow y 2))))
(+ x (* (pow y 2) (+ (* 1/6 (* x (pow y 2))) (* 1/2 x))))
(+ x (* x y))
(+ x (* y (+ x (* 1/2 (* x y)))))
(+ x (* y (+ x (* y (+ (* 1/6 (* x y)) (* 1/2 x))))))
1
(+ 1 y)
(+ 1 (* y (+ 1 (* 1/2 y))))
(+ 1 (* y (+ 1 (* y (+ 1/2 (* 1/6 y))))))
(* 1/2 (pow y 2))
(* (pow y 2) (+ 1/2 (* 1/6 y)))
y
(* y (+ 1 (* 1/2 y)))
(* y (+ 1 (* y (+ 1/2 (* 1/6 y)))))
(+ x (* 1/2 (* x y)))
(+ x (* y (+ (* 1/6 (* x y)) (* 1/2 x))))
(* 1/2 x)
(+ (* 1/6 (* x y)) (* 1/2 x))
(+ (* 1/6 (* x (pow y 2))) (* 1/2 x))
1/2
(+ 1/2 (* 1/6 (pow y 2)))
(+ 1/2 (* 1/6 y))
(* 1/6 (* x (pow y 6)))
(* (pow y 6) (+ (* 1/6 x) (* 1/2 (/ x (pow y 2)))))
(* (pow y 6) (+ (* 1/6 x) (+ (* 1/2 (/ x (pow y 2))) (/ x (pow y 4)))))
(* (pow y 6) (+ (* 1/6 x) (+ (* 1/2 (/ x (pow y 2))) (+ (/ x (pow y 4)) (/ x (pow y 6))))))
(* 1/6 (* x (pow y 4)))
(* (pow y 4) (+ (* 1/6 x) (* 1/2 (/ x (pow y 2)))))
(* (pow y 4) (+ (* 1/6 x) (+ (* 1/2 (/ x (pow y 2))) (/ x (pow y 4)))))
(* y (+ x (/ x 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 (* x (pow y 3)))
(* (pow y 3) (+ (* 1/6 x) (* 1/2 (/ x y))))
(* (pow y 3) (+ (* 1/6 x) (+ (* 1/2 (/ x y)) (/ x (pow y 2)))))
(* (pow y 3) (+ (* 1/6 x) (+ (* 1/2 (/ x y)) (+ (/ x (pow y 2)) (/ x (pow y 3))))))
(* 1/6 (* x (pow y 2)))
(* (pow y 2) (+ (* 1/6 x) (* 1/2 (/ x y))))
(* (pow y 2) (+ (* 1/6 x) (+ (* 1/2 (/ x y)) (/ x (pow y 2)))))
(* 1/6 (* x y))
(* y (+ (* 1/6 x) (* 1/2 (/ x y))))
(* (pow y 2) (+ (* 1/6 x) (* 1/2 (/ x (pow y 2)))))
(* 1/6 (pow y 2))
(* (pow y 2) (+ 1/6 (* 1/2 (/ 1 (pow y 2)))))
(* 1/6 y)
(* y (+ 1/6 (* 1/2 (/ 1 y))))
(* -1 (* y (+ (* -1 x) (* -1 (/ x 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 (* (pow y 3) (+ (* -1/2 (/ x y)) (* -1/6 x))))
(* -1 (* (pow y 3) (+ (* -1 (/ (+ (* 1/2 x) (/ x y)) y)) (* -1/6 x))))
(* -1 (* (pow y 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 x) (* -1 (/ x y))) y)) (* 1/2 x)) y)) (* -1/6 x))))
(* (pow y 2) (+ (* -1 (/ (+ (* -1 (/ x y)) (* -1/2 x)) y)) (* 1/6 x)))
(* -1 (* y (+ (* -1/2 (/ x y)) (* -1/6 x))))
Calls

6 calls:

TimeVariablePointExpression
7.0ms
x
@0
((+ (* (+ (* (* (+ (* (* y y) 1/6) 1/2) x) (* y y)) x) (* y y)) x) (* x (exp (* y y))) (+ (* (pow y 3) (+ (* (* (+ (* 1/6 (* y y)) 1/2) y) x) (/ x y))) x) (+ (* (* (+ (* (* y y) 1/6) 1/2) x) (* y y)) x) (* x (exp y)) (+ (* y x) x) (* y x) (* x (exp y)) (exp y) (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (* (+ (* 1/6 y) 1/2) (* y y)) (* x (exp y)) (exp y) (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (+ (* (+ (* 1/6 y) 1/2) (* y y)) y) (* x (exp y)) (+ (* (+ (* (* x (+ (* 1/6 y) 1/2)) y) x) y) x) (+ (* (* x (+ (* 1/6 y) 1/2)) y) x) (* x (+ (* 1/6 y) 1/2)) (* (+ (* (* y y) 1/6) 1/2) x) (+ (* (* y y) 1/6) 1/2) (+ (* 1/6 y) 1/2))
5.0ms
x
@-inf
((+ (* (+ (* (* (+ (* (* y y) 1/6) 1/2) x) (* y y)) x) (* y y)) x) (* x (exp (* y y))) (+ (* (pow y 3) (+ (* (* (+ (* 1/6 (* y y)) 1/2) y) x) (/ x y))) x) (+ (* (* (+ (* (* y y) 1/6) 1/2) x) (* y y)) x) (* x (exp y)) (+ (* y x) x) (* y x) (* x (exp y)) (exp y) (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (* (+ (* 1/6 y) 1/2) (* y y)) (* x (exp y)) (exp y) (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (+ (* (+ (* 1/6 y) 1/2) (* y y)) y) (* x (exp y)) (+ (* (+ (* (* x (+ (* 1/6 y) 1/2)) y) x) y) x) (+ (* (* x (+ (* 1/6 y) 1/2)) y) x) (* x (+ (* 1/6 y) 1/2)) (* (+ (* (* y y) 1/6) 1/2) x) (+ (* (* y y) 1/6) 1/2) (+ (* 1/6 y) 1/2))
4.0ms
x
@inf
((+ (* (+ (* (* (+ (* (* y y) 1/6) 1/2) x) (* y y)) x) (* y y)) x) (* x (exp (* y y))) (+ (* (pow y 3) (+ (* (* (+ (* 1/6 (* y y)) 1/2) y) x) (/ x y))) x) (+ (* (* (+ (* (* y y) 1/6) 1/2) x) (* y y)) x) (* x (exp y)) (+ (* y x) x) (* y x) (* x (exp y)) (exp y) (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (* (+ (* 1/6 y) 1/2) (* y y)) (* x (exp y)) (exp y) (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (+ (* (+ (* 1/6 y) 1/2) (* y y)) y) (* x (exp y)) (+ (* (+ (* (* x (+ (* 1/6 y) 1/2)) y) x) y) x) (+ (* (* x (+ (* 1/6 y) 1/2)) y) x) (* x (+ (* 1/6 y) 1/2)) (* (+ (* (* y y) 1/6) 1/2) x) (+ (* (* y y) 1/6) 1/2) (+ (* 1/6 y) 1/2))
3.0ms
y
@-inf
((+ (* (+ (* (* (+ (* (* y y) 1/6) 1/2) x) (* y y)) x) (* y y)) x) (* x (exp (* y y))) (+ (* (pow y 3) (+ (* (* (+ (* 1/6 (* y y)) 1/2) y) x) (/ x y))) x) (+ (* (* (+ (* (* y y) 1/6) 1/2) x) (* y y)) x) (* x (exp y)) (+ (* y x) x) (* y x) (* x (exp y)) (exp y) (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (* (+ (* 1/6 y) 1/2) (* y y)) (* x (exp y)) (exp y) (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (+ (* (+ (* 1/6 y) 1/2) (* y y)) y) (* x (exp y)) (+ (* (+ (* (* x (+ (* 1/6 y) 1/2)) y) x) y) x) (+ (* (* x (+ (* 1/6 y) 1/2)) y) x) (* x (+ (* 1/6 y) 1/2)) (* (+ (* (* y y) 1/6) 1/2) x) (+ (* (* y y) 1/6) 1/2) (+ (* 1/6 y) 1/2))
2.0ms
y
@inf
((+ (* (+ (* (* (+ (* (* y y) 1/6) 1/2) x) (* y y)) x) (* y y)) x) (* x (exp (* y y))) (+ (* (pow y 3) (+ (* (* (+ (* 1/6 (* y y)) 1/2) y) x) (/ x y))) x) (+ (* (* (+ (* (* y y) 1/6) 1/2) x) (* y y)) x) (* x (exp y)) (+ (* y x) x) (* y x) (* x (exp y)) (exp y) (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (* (+ (* 1/6 y) 1/2) (* y y)) (* x (exp y)) (exp y) (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (+ (* (+ (* 1/6 y) 1/2) (* y y)) y) (* x (exp y)) (+ (* (+ (* (* x (+ (* 1/6 y) 1/2)) y) x) y) x) (+ (* (* x (+ (* 1/6 y) 1/2)) y) x) (* x (+ (* 1/6 y) 1/2)) (* (+ (* (* y y) 1/6) 1/2) x) (+ (* (* y y) 1/6) 1/2) (+ (* 1/6 y) 1/2))

simplify186.0ms (0.9%)

Memory
8.1MiB live, 161.4MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0205852
1692846
22304800
36128797
08212708
Stop Event
iter limit
node limit
Counts
78 → 76
Calls
Call 1
Inputs
(* x (+ 1 (* (pow y 2) (+ 1 (* (pow y 2) (+ 1/2 (* 1/6 (pow y 2))))))))
(* x (exp (pow y 2)))
(* x (+ 1 (* (pow y 3) (+ (* y (+ 1/2 (* 1/6 (pow y 2)))) (/ 1 y)))))
(* x (+ 1 (* (pow y 2) (+ 1/2 (* 1/6 (pow y 2))))))
(* x (exp y))
(* x (+ 1 y))
(* x y)
(* x (+ 1 (* y (+ 1 (* y (+ 1/2 (* 1/6 y)))))))
(* x (+ 1 (* y (+ 1/2 (* 1/6 y)))))
(* x (+ 1/2 (* 1/6 y)))
(* x (+ 1/2 (* 1/6 (pow y 2))))
(* -1 (* x (- (* (pow y 2) (- (* -1 (* (pow y 2) (+ 1/2 (* 1/6 (pow y 2))))) 1)) 1)))
(* -1 (* x (- (* (pow y 3) (- (* -1 (* y (+ 1/2 (* 1/6 (pow y 2))))) (/ 1 y))) 1)))
(* -1 (* x (- (* -1 (* (pow y 2) (+ 1/2 (* 1/6 (pow y 2))))) 1)))
(* -1 (* x (- (* -1 y) 1)))
(* -1 (* x (- (* y (- (* -1 (* y (+ 1/2 (* 1/6 y)))) 1)) 1)))
(* -1 (* x (- (* -1 (* y (+ 1/2 (* 1/6 y)))) 1)))
x
(+ x (* x (pow y 2)))
(+ x (* (pow y 2) (+ x (* 1/2 (* x (pow y 2))))))
(+ x (* (pow y 2) (+ x (* (pow y 2) (+ (* 1/6 (* x (pow y 2))) (* 1/2 x))))))
(+ x (* 1/2 (* x (pow y 2))))
(+ x (* (pow y 2) (+ (* 1/6 (* x (pow y 2))) (* 1/2 x))))
(+ x (* x y))
(+ x (* y (+ x (* 1/2 (* x y)))))
(+ x (* y (+ x (* y (+ (* 1/6 (* x y)) (* 1/2 x))))))
1
(+ 1 y)
(+ 1 (* y (+ 1 (* 1/2 y))))
(+ 1 (* y (+ 1 (* y (+ 1/2 (* 1/6 y))))))
(* 1/2 (pow y 2))
(* (pow y 2) (+ 1/2 (* 1/6 y)))
y
(* y (+ 1 (* 1/2 y)))
(* y (+ 1 (* y (+ 1/2 (* 1/6 y)))))
(+ x (* 1/2 (* x y)))
(+ x (* y (+ (* 1/6 (* x y)) (* 1/2 x))))
(* 1/2 x)
(+ (* 1/6 (* x y)) (* 1/2 x))
(+ (* 1/6 (* x (pow y 2))) (* 1/2 x))
1/2
(+ 1/2 (* 1/6 (pow y 2)))
(+ 1/2 (* 1/6 y))
(* 1/6 (* x (pow y 6)))
(* (pow y 6) (+ (* 1/6 x) (* 1/2 (/ x (pow y 2)))))
(* (pow y 6) (+ (* 1/6 x) (+ (* 1/2 (/ x (pow y 2))) (/ x (pow y 4)))))
(* (pow y 6) (+ (* 1/6 x) (+ (* 1/2 (/ x (pow y 2))) (+ (/ x (pow y 4)) (/ x (pow y 6))))))
(* 1/6 (* x (pow y 4)))
(* (pow y 4) (+ (* 1/6 x) (* 1/2 (/ x (pow y 2)))))
(* (pow y 4) (+ (* 1/6 x) (+ (* 1/2 (/ x (pow y 2))) (/ x (pow y 4)))))
(* y (+ x (/ x 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 (* x (pow y 3)))
(* (pow y 3) (+ (* 1/6 x) (* 1/2 (/ x y))))
(* (pow y 3) (+ (* 1/6 x) (+ (* 1/2 (/ x y)) (/ x (pow y 2)))))
(* (pow y 3) (+ (* 1/6 x) (+ (* 1/2 (/ x y)) (+ (/ x (pow y 2)) (/ x (pow y 3))))))
(* 1/6 (* x (pow y 2)))
(* (pow y 2) (+ (* 1/6 x) (* 1/2 (/ x y))))
(* (pow y 2) (+ (* 1/6 x) (+ (* 1/2 (/ x y)) (/ x (pow y 2)))))
(* 1/6 (* x y))
(* y (+ (* 1/6 x) (* 1/2 (/ x y))))
(* (pow y 2) (+ (* 1/6 x) (* 1/2 (/ x (pow y 2)))))
(* 1/6 (pow y 2))
(* (pow y 2) (+ 1/6 (* 1/2 (/ 1 (pow y 2)))))
(* 1/6 y)
(* y (+ 1/6 (* 1/2 (/ 1 y))))
(* -1 (* y (+ (* -1 x) (* -1 (/ x 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 (* (pow y 3) (+ (* -1/2 (/ x y)) (* -1/6 x))))
(* -1 (* (pow y 3) (+ (* -1 (/ (+ (* 1/2 x) (/ x y)) y)) (* -1/6 x))))
(* -1 (* (pow y 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 x) (* -1 (/ x y))) y)) (* 1/2 x)) y)) (* -1/6 x))))
(* (pow y 2) (+ (* -1 (/ (+ (* -1 (/ x y)) (* -1/2 x)) y)) (* 1/6 x)))
(* -1 (* y (+ (* -1/2 (/ x y)) (* -1/6 x))))
Outputs
(* x (+ 1 (* (pow y 2) (+ 1 (* (pow y 2) (+ 1/2 (* 1/6 (pow y 2))))))))
(*.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (fma.f64 y y #s(literal 1 binary64))) x)
(* x (exp (pow y 2)))
(*.f64 (pow.f64 (exp.f64 y) y) x)
(* x (+ 1 (* (pow y 3) (+ (* y (+ 1/2 (* 1/6 (pow y 2)))) (/ 1 y)))))
(*.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (fma.f64 y y #s(literal 1 binary64))) x)
(* x (+ 1 (* (pow y 2) (+ 1/2 (* 1/6 (pow y 2))))))
(*.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)) x)
(* x (exp y))
(*.f64 (exp.f64 y) x)
(* x (+ 1 y))
(fma.f64 x y x)
(* x y)
(*.f64 x y)
(* x (+ 1 (* y (+ 1 (* y (+ 1/2 (* 1/6 y)))))))
(fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) x) y x)
(* x (+ 1 (* y (+ 1/2 (* 1/6 y)))))
(*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) x)
(* x (+ 1/2 (* 1/6 y)))
(*.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) x)
(* x (+ 1/2 (* 1/6 (pow y 2))))
(*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) x)
(* -1 (* x (- (* (pow y 2) (- (* -1 (* (pow y 2) (+ 1/2 (* 1/6 (pow y 2))))) 1)) 1)))
(*.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (fma.f64 y y #s(literal 1 binary64))) x)
(* -1 (* x (- (* (pow y 3) (- (* -1 (* y (+ 1/2 (* 1/6 (pow y 2))))) (/ 1 y))) 1)))
(*.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (fma.f64 y y #s(literal 1 binary64))) x)
(* -1 (* x (- (* -1 (* (pow y 2) (+ 1/2 (* 1/6 (pow y 2))))) 1)))
(*.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)) x)
(* -1 (* x (- (* -1 y) 1)))
(fma.f64 x y x)
(* -1 (* x (- (* y (- (* -1 (* y (+ 1/2 (* 1/6 y)))) 1)) 1)))
(fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) x) y x)
(* -1 (* x (- (* -1 (* y (+ 1/2 (* 1/6 y)))) 1)))
(*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) x)
x
(+ x (* x (pow y 2)))
(fma.f64 (*.f64 x y) y x)
(+ x (* (pow y 2) (+ x (* 1/2 (* x (pow y 2))))))
(fma.f64 (fma.f64 (*.f64 (*.f64 x y) y) #s(literal 1/2 binary64) x) (*.f64 y y) x)
(+ x (* (pow y 2) (+ x (* (pow y 2) (+ (* 1/6 (* x (pow y 2))) (* 1/2 x))))))
(*.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (fma.f64 y y #s(literal 1 binary64))) x)
(+ x (* 1/2 (* x (pow y 2))))
(fma.f64 (*.f64 (*.f64 x y) y) #s(literal 1/2 binary64) x)
(+ x (* (pow y 2) (+ (* 1/6 (* x (pow y 2))) (* 1/2 x))))
(*.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)) x)
(+ x (* x y))
(fma.f64 x y x)
(+ x (* y (+ x (* 1/2 (* x y)))))
(fma.f64 (fma.f64 (*.f64 x y) #s(literal 1/2 binary64) x) y x)
(+ x (* y (+ x (* y (+ (* 1/6 (* x y)) (* 1/2 x))))))
(fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) x) y x)
1
#s(literal 1 binary64)
(+ 1 y)
(-.f64 y #s(literal -1 binary64))
(+ 1 (* y (+ 1 (* 1/2 y))))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal 1 binary64)) y #s(literal 1 binary64))
(+ 1 (* y (+ 1 (* y (+ 1/2 (* 1/6 y))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y #s(literal 1 binary64))
(* 1/2 (pow y 2))
(*.f64 (*.f64 #s(literal 1/2 binary64) y) y)
(* (pow y 2) (+ 1/2 (* 1/6 y)))
(*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y) y)
y
(* y (+ 1 (* 1/2 y)))
(*.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal 1 binary64)) y)
(* y (+ 1 (* y (+ 1/2 (* 1/6 y)))))
(*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y)
(+ x (* 1/2 (* x y)))
(fma.f64 (*.f64 x y) #s(literal 1/2 binary64) x)
(+ x (* y (+ (* 1/6 (* x y)) (* 1/2 x))))
(*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(+ (* 1/6 (* x y)) (* 1/2 x))
(*.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) x)
(+ (* 1/6 (* x (pow y 2))) (* 1/2 x))
(*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) x)
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* 1/6 (pow y 2)))
(fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64))
(+ 1/2 (* 1/6 y))
(fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64))
(* 1/6 (* x (pow y 6)))
(*.f64 (*.f64 (pow.f64 y #s(literal 6 binary64)) x) #s(literal 1/6 binary64))
(* (pow y 6) (+ (* 1/6 x) (* 1/2 (/ x (pow y 2)))))
(*.f64 (*.f64 x (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) y) y) #s(literal 1/6 binary64))) (pow.f64 y #s(literal 6 binary64)))
(* (pow y 6) (+ (* 1/6 x) (+ (* 1/2 (/ x (pow y 2))) (/ x (pow y 4)))))
(*.f64 (fma.f64 x (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) y) y) #s(literal 1/6 binary64)) (/.f64 x (pow.f64 y #s(literal 4 binary64)))) (pow.f64 y #s(literal 6 binary64)))
(* (pow y 6) (+ (* 1/6 x) (+ (* 1/2 (/ x (pow y 2))) (+ (/ x (pow y 4)) (/ x (pow y 6))))))
(*.f64 (fma.f64 x (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) y) y) #s(literal 1/6 binary64)) (+.f64 (/.f64 x (pow.f64 y #s(literal 6 binary64))) (/.f64 x (pow.f64 y #s(literal 4 binary64))))) (pow.f64 y #s(literal 6 binary64)))
(* 1/6 (* x (pow y 4)))
(*.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/6 binary64)) x)
(* (pow y 4) (+ (* 1/6 x) (* 1/2 (/ x (pow y 2)))))
(*.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 x (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) y) y) #s(literal 1/6 binary64))))
(* (pow y 4) (+ (* 1/6 x) (+ (* 1/2 (/ x (pow y 2))) (/ x (pow y 4)))))
(*.f64 (fma.f64 x (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) y) y) #s(literal 1/6 binary64)) (/.f64 x (pow.f64 y #s(literal 4 binary64)))) (pow.f64 y #s(literal 4 binary64)))
(* y (+ x (/ x y)))
(fma.f64 x y x)
(exp y)
(exp.f64 y)
(* 1/6 (pow y 3))
(*.f64 #s(literal 1/6 binary64) (pow.f64 y #s(literal 3 binary64)))
(* (pow y 3) (+ 1/6 (* 1/2 (/ 1 y))))
(*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y) y)
(* (pow y 3) (+ 1/6 (+ (* 1/2 (/ 1 y)) (/ 1 (pow y 2)))))
(*.f64 y (fma.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))
(* (pow y 3) (+ 1/6 (+ (* 1/2 (/ 1 y)) (+ (/ 1 (pow y 2)) (/ 1 (pow y 3))))))
(fma.f64 y (fma.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) #s(literal 1 binary64))
(* 1/6 (* x (pow y 3)))
(*.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) x) #s(literal 1/6 binary64))
(* (pow y 3) (+ (* 1/6 x) (* 1/2 (/ x y))))
(*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) x) y) y)
(* (pow y 3) (+ (* 1/6 x) (+ (* 1/2 (/ x y)) (/ x (pow y 2)))))
(*.f64 (fma.f64 #s(literal 1/6 binary64) x (/.f64 (fma.f64 #s(literal 1/2 binary64) x (/.f64 x y)) y)) (pow.f64 y #s(literal 3 binary64)))
(* (pow y 3) (+ (* 1/6 x) (+ (* 1/2 (/ x y)) (+ (/ x (pow y 2)) (/ x (pow y 3))))))
(*.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) (/.f64 (/.f64 x y) y) (*.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/6 binary64)))) (pow.f64 y #s(literal 3 binary64)))
(* 1/6 (* x (pow y 2)))
(*.f64 (*.f64 (*.f64 x y) #s(literal 1/6 binary64)) y)
(* (pow y 2) (+ (* 1/6 x) (* 1/2 (/ x y))))
(*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) x) y)
(* (pow y 2) (+ (* 1/6 x) (+ (* 1/2 (/ x y)) (/ x (pow y 2)))))
(*.f64 y (fma.f64 (fma.f64 #s(literal 1/6 binary64) x (/.f64 (/.f64 x y) y)) y (*.f64 #s(literal 1/2 binary64) x)))
(* 1/6 (* x y))
(*.f64 (*.f64 x y) #s(literal 1/6 binary64))
(* y (+ (* 1/6 x) (* 1/2 (/ x y))))
(*.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) x)
(* (pow y 2) (+ (* 1/6 x) (* 1/2 (/ x (pow y 2)))))
(*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) x)
(* 1/6 (pow y 2))
(*.f64 (*.f64 y y) #s(literal 1/6 binary64))
(* (pow y 2) (+ 1/6 (* 1/2 (/ 1 (pow y 2)))))
(fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64))
(* 1/6 y)
(*.f64 #s(literal 1/6 binary64) y)
(* y (+ 1/6 (* 1/2 (/ 1 y))))
(fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64))
(* -1 (* y (+ (* -1 x) (* -1 (/ x y)))))
(fma.f64 x y x)
(* -1 (* (pow y 3) (- (* -1 (/ (+ 1/2 (/ 1 y)) y)) 1/6)))
(*.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1/2 binary64)) y) #s(literal -1/6 binary64)) (pow.f64 y #s(literal 3 binary64)))
(* -1 (* (pow y 3) (- (* -1 (/ (+ 1/2 (+ (/ 1 y) (/ 1 (pow y 2)))) y)) 1/6)))
(*.f64 (-.f64 (/.f64 (+.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) y) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) y)) y) #s(literal -1/6 binary64)) (pow.f64 y #s(literal 3 binary64)))
(* -1 (* (pow y 3) (+ (* -1/2 (/ x y)) (* -1/6 x))))
(*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) x) y) y)
(* -1 (* (pow y 3) (+ (* -1 (/ (+ (* 1/2 x) (/ x y)) y)) (* -1/6 x))))
(*.f64 (fma.f64 #s(literal 1/6 binary64) x (/.f64 (fma.f64 #s(literal 1/2 binary64) x (/.f64 x y)) y)) (pow.f64 y #s(literal 3 binary64)))
(* -1 (* (pow y 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 x) (* -1 (/ x y))) y)) (* 1/2 x)) y)) (* -1/6 x))))
(*.f64 (fma.f64 #s(literal 1/6 binary64) x (/.f64 (fma.f64 #s(literal 1/2 binary64) x (/.f64 (+.f64 (/.f64 x y) x) y)) y)) (pow.f64 y #s(literal 3 binary64)))
(* (pow y 2) (+ (* -1 (/ (+ (* -1 (/ x y)) (* -1/2 x)) y)) (* 1/6 x)))
(*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) x (/.f64 (fma.f64 #s(literal 1/2 binary64) x (/.f64 x y)) y)) y) y)
(* -1 (* y (+ (* -1/2 (/ x y)) (* -1/6 x))))
(*.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) x)

rewrite165.0ms (0.8%)

Memory
-6.2MiB live, 264.4MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
051368
071366
1295360
22148356
08384348
Stop Event
iter limit
node limit
iter limit
Counts
22 → 340
Calls
Call 1
Inputs
(fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) x) (*.f64 y y) x) (*.f64 y y) x)
#s(approx (* x (exp (* y y))) #s(approx (+ (* (pow y 3) (+ (* (* (+ (* 1/6 (* y y)) 1/2) y) x) (/ x y))) x) (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) x) (*.f64 y y) x) (*.f64 y y) x)))
#s(approx (+ (* (pow y 3) (+ (* (* (+ (* 1/6 (* y y)) 1/2) y) x) (/ x y))) x) (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) x) (*.f64 y y) x) (*.f64 y y) x))
(fma.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) x) (*.f64 y y) x)
#s(approx (* x (exp y)) #s(approx (+ (* y x) x) (*.f64 y x)))
#s(approx (+ (* y x) x) (*.f64 y x))
(*.f64 y x)
(*.f64 x #s(approx (exp y) #s(approx (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (*.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) (*.f64 y y)))))
#s(approx (exp y) #s(approx (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (*.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) (*.f64 y y))))
#s(approx (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (*.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) (*.f64 y y)))
(*.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) (*.f64 y y))
(*.f64 x #s(approx (exp y) #s(approx (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) (*.f64 y y) y))))
#s(approx (exp y) #s(approx (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) (*.f64 y y) y)))
#s(approx (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) (*.f64 y y) y))
(fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) (*.f64 y y) y)
#s(approx (* x (exp y)) (fma.f64 (fma.f64 (*.f64 x (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64))) y x) y x))
(fma.f64 (fma.f64 (*.f64 x (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64))) y x) y x)
(fma.f64 (*.f64 x (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64))) y x)
(*.f64 x (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)))
(*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) x)
(fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64))
(fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64))
Outputs
(*.f64 (fma.f64 (pow.f64 (fma.f64 (*.f64 x (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1/2 binary64))) (*.f64 y y) x) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64)) (*.f64 (neg.f64 x) x)) (pow.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1/2 binary64))) (*.f64 y y) x) y) y (neg.f64 x)) #s(literal -1 binary64)))
(*.f64 (fma.f64 (pow.f64 (fma.f64 (*.f64 x (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1/2 binary64))) (*.f64 y y) x) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (fma.f64 x (-.f64 x (*.f64 (*.f64 (fma.f64 (*.f64 x (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1/2 binary64))) (*.f64 y y) x) y) y)) (*.f64 (pow.f64 (fma.f64 (*.f64 x (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1/2 binary64))) (*.f64 y y) x) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64)))) #s(literal -1 binary64)))
(pow.f64 (/.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1/2 binary64))) (*.f64 y y) x) y) y (neg.f64 x)) (fma.f64 (pow.f64 (fma.f64 (*.f64 x (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1/2 binary64))) (*.f64 y y) x) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64)) (*.f64 (neg.f64 x) x))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 x (-.f64 x (*.f64 (*.f64 (fma.f64 (*.f64 x (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1/2 binary64))) (*.f64 y y) x) y) y)) (*.f64 (pow.f64 (fma.f64 (*.f64 x (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1/2 binary64))) (*.f64 y y) x) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64)))) (fma.f64 (pow.f64 (fma.f64 (*.f64 x (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1/2 binary64))) (*.f64 y y) x) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64)))) #s(literal -1 binary64))
(/.f64 (+.f64 (pow.f64 (+.f64 x (*.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) x) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1/2 binary64)) y))) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 x y) y) #s(literal 3 binary64))) (fma.f64 (+.f64 x (*.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) x) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1/2 binary64)) y))) (+.f64 x (*.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) x) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1/2 binary64)) y))) (-.f64 (pow.f64 (*.f64 (*.f64 x y) y) #s(literal 2 binary64)) (*.f64 (+.f64 x (*.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) x) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1/2 binary64)) y))) (*.f64 (*.f64 x y) y)))))
(/.f64 (fma.f64 (pow.f64 y #s(literal 9 binary64)) (pow.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1/2 binary64)) y) x) #s(literal 3 binary64)) (pow.f64 (fma.f64 (*.f64 x y) y x) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) x) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1/2 binary64)) y)) #s(literal 2 binary64)) (-.f64 (*.f64 (fma.f64 (*.f64 x y) y x) (fma.f64 (*.f64 x y) y x)) (*.f64 (*.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) x) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1/2 binary64)) y)) (fma.f64 (*.f64 x y) y x)))))
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (*.f64 (pow.f64 (fma.f64 (*.f64 x (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1/2 binary64))) (*.f64 y y) x) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64))))) (neg.f64 (-.f64 x (*.f64 (*.f64 (fma.f64 (*.f64 x (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1/2 binary64))) (*.f64 y y) x) y) y))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (pow.f64 (fma.f64 (*.f64 x (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1/2 binary64))) (*.f64 y y) x) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64)) (*.f64 (neg.f64 x) x)))) (neg.f64 (neg.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1/2 binary64))) (*.f64 y y) x) y) y (neg.f64 x)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (pow.f64 (fma.f64 (*.f64 x (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1/2 binary64))) (*.f64 y y) x) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 x (-.f64 x (*.f64 (*.f64 (fma.f64 (*.f64 x (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1/2 binary64))) (*.f64 y y) x) y) y)) (*.f64 (pow.f64 (fma.f64 (*.f64 x (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1/2 binary64))) (*.f64 y y) x) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64)))))))
(/.f64 (-.f64 (*.f64 (*.f64 (pow.f64 (fma.f64 (*.f64 x (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1/2 binary64))) (*.f64 y y) x) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64))) (fma.f64 (*.f64 (fma.f64 (*.f64 x (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1/2 binary64))) (*.f64 y y) x) y) y (neg.f64 x))) (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1/2 binary64))) (*.f64 y y) x) y) y (neg.f64 x)) (*.f64 x x))) (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1/2 binary64))) (*.f64 y y) x) y) y (neg.f64 x)) (fma.f64 (*.f64 (fma.f64 (*.f64 x (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1/2 binary64))) (*.f64 y y) x) y) y (neg.f64 x))))
(/.f64 (-.f64 (*.f64 x x) (*.f64 (pow.f64 (fma.f64 (*.f64 x (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1/2 binary64))) (*.f64 y y) x) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64)))) (-.f64 x (*.f64 (*.f64 (fma.f64 (*.f64 x (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1/2 binary64))) (*.f64 y y) x) y) y)))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (fma.f64 (*.f64 x (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1/2 binary64))) (*.f64 y y) x) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64)) (*.f64 (neg.f64 x) x))) (neg.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1/2 binary64))) (*.f64 y y) x) y) y (neg.f64 x))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (fma.f64 (*.f64 x (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1/2 binary64))) (*.f64 y y) x) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 x x (-.f64 (*.f64 (pow.f64 (fma.f64 (*.f64 x (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1/2 binary64))) (*.f64 y y) x) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64))) (*.f64 (*.f64 (fma.f64 (*.f64 x (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1/2 binary64))) (*.f64 y y) x) y) (*.f64 x y))))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (fma.f64 (*.f64 x (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1/2 binary64))) (*.f64 y y) x) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 x (-.f64 x (*.f64 (*.f64 (fma.f64 (*.f64 x (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1/2 binary64))) (*.f64 y y) x) y) y)) (*.f64 (pow.f64 (fma.f64 (*.f64 x (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1/2 binary64))) (*.f64 y y) x) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64))))))
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(fma.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) x (*.f64 x #s(literal 1/2 binary64)))
(fma.f64 x (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) (*.f64 x #s(literal 1/2 binary64)))
(fma.f64 x #s(literal 1/2 binary64) (*.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) x))
(fma.f64 x #s(literal 1/2 binary64) (*.f64 x (*.f64 #s(literal 1/6 binary64) (*.f64 y y))))
(fma.f64 #s(literal 1/2 binary64) x (*.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) x))
(fma.f64 #s(literal 1/2 binary64) x (*.f64 x (*.f64 #s(literal 1/6 binary64) (*.f64 y y))))
(+.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) x) (*.f64 x #s(literal 1/2 binary64)))
(+.f64 (*.f64 x (*.f64 #s(literal 1/6 binary64) (*.f64 y y))) (*.f64 x #s(literal 1/2 binary64)))
(+.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) x))
(+.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 x (*.f64 #s(literal 1/6 binary64) (*.f64 y y))))
(*.f64 (fma.f64 #s(literal 1/36 binary64) (pow.f64 y #s(literal 4 binary64)) #s(literal -1/4 binary64)) (pow.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1/2 binary64)) #s(literal -1 binary64)))
(*.f64 (fma.f64 #s(literal 1/216 binary64) (pow.f64 y #s(literal 6 binary64)) #s(literal 1/8 binary64)) (pow.f64 (fma.f64 #s(literal 1/36 binary64) (pow.f64 y #s(literal 4 binary64)) (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 y y) #s(literal 1/12 binary64)))) #s(literal -1 binary64)))
(pow.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/36 binary64) (pow.f64 y #s(literal 4 binary64)) #s(literal -1/4 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 #s(literal 1/36 binary64) (pow.f64 y #s(literal 4 binary64)) (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 y y) #s(literal 1/12 binary64)))) (fma.f64 #s(literal 1/216 binary64) (pow.f64 y #s(literal 6 binary64)) #s(literal 1/8 binary64))) #s(literal -1 binary64))
(/.f64 (neg.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/36 binary64) (pow.f64 y #s(literal 4 binary64))))) (neg.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 y y)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 1/36 binary64) (pow.f64 y #s(literal 4 binary64)) #s(literal -1/4 binary64)))) (neg.f64 (neg.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1/2 binary64)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 1/216 binary64) (pow.f64 y #s(literal 6 binary64)) #s(literal 1/8 binary64)))) (neg.f64 (neg.f64 (fma.f64 #s(literal 1/36 binary64) (pow.f64 y #s(literal 4 binary64)) (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 y y) #s(literal 1/12 binary64)))))))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/36 binary64) (pow.f64 y #s(literal 4 binary64))) (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1/2 binary64))) (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1/2 binary64)) #s(literal 1/4 binary64))) (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1/2 binary64)) (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1/2 binary64))))
(/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/36 binary64) (pow.f64 y #s(literal 4 binary64)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 y y))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/36 binary64) (pow.f64 y #s(literal 4 binary64)) #s(literal -1/4 binary64))) (neg.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1/2 binary64))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/216 binary64) (pow.f64 y #s(literal 6 binary64)) #s(literal 1/8 binary64))) (neg.f64 (+.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 #s(literal 1/36 binary64) (pow.f64 y #s(literal 4 binary64))) (*.f64 (*.f64 y y) #s(literal 1/12 binary64))))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/216 binary64) (pow.f64 y #s(literal 6 binary64)) #s(literal 1/8 binary64))) (neg.f64 (fma.f64 #s(literal 1/36 binary64) (pow.f64 y #s(literal 4 binary64)) (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 y y) #s(literal 1/12 binary64))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/36 binary64) (pow.f64 y #s(literal 4 binary64)) #s(literal -1/4 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 #s(literal 1/36 binary64) (pow.f64 y #s(literal 4 binary64)) (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 y y) #s(literal 1/12 binary64)))) (fma.f64 #s(literal 1/216 binary64) (pow.f64 y #s(literal 6 binary64)) #s(literal 1/8 binary64)))))
(/.f64 (fma.f64 #s(literal 1/36 binary64) (pow.f64 y #s(literal 4 binary64)) #s(literal -1/4 binary64)) (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1/2 binary64)))
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(/.f64 (fma.f64 #s(literal 1/216 binary64) (pow.f64 y #s(literal 6 binary64)) #s(literal 1/8 binary64)) (fma.f64 #s(literal 1/36 binary64) (pow.f64 y #s(literal 4 binary64)) (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 y y) #s(literal 1/12 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/36 binary64) (pow.f64 y #s(literal 4 binary64)) #s(literal -1/4 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/36 binary64) (pow.f64 y #s(literal 4 binary64)) (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 y y) #s(literal 1/12 binary64)))) (fma.f64 #s(literal 1/216 binary64) (pow.f64 y #s(literal 6 binary64)) #s(literal 1/8 binary64))))
(fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1/2 binary64))
(fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1/2 binary64))
(fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64))
(fma.f64 y (*.f64 #s(literal 1/6 binary64) y) #s(literal 1/2 binary64))
(-.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 y y)))) (/.f64 (*.f64 #s(literal 1/36 binary64) (pow.f64 y #s(literal 4 binary64))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 y y)))))
(-.f64 (/.f64 (*.f64 #s(literal 1/36 binary64) (pow.f64 y #s(literal 4 binary64))) (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1/2 binary64))))
(+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) #s(literal 1/2 binary64))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 y y)))
(*.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 y y) #s(literal -1/4 binary64)) (pow.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal -1/2 binary64)) #s(literal -1 binary64)))
(*.f64 (fma.f64 #s(literal 1/216 binary64) (pow.f64 y #s(literal 3 binary64)) #s(literal 1/8 binary64)) (pow.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 y y) (-.f64 #s(literal 1/4 binary64) (*.f64 y #s(literal 1/12 binary64)))) #s(literal -1 binary64)))
(pow.f64 (/.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/36 binary64) (*.f64 y y) #s(literal -1/4 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 y y) (-.f64 #s(literal 1/4 binary64) (*.f64 y #s(literal 1/12 binary64)))) (fma.f64 #s(literal 1/216 binary64) (pow.f64 y #s(literal 3 binary64)) #s(literal 1/8 binary64))) #s(literal -1 binary64))
(/.f64 (neg.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/36 binary64) (*.f64 y y)))) (neg.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) y))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 y y) #s(literal -1/4 binary64)))) (neg.f64 (neg.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal -1/2 binary64)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 1/216 binary64) (pow.f64 y #s(literal 3 binary64)) #s(literal 1/8 binary64)))) (neg.f64 (neg.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 y y) (-.f64 #s(literal 1/4 binary64) (*.f64 y #s(literal 1/12 binary64)))))))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 y y)) (fma.f64 #s(literal 1/6 binary64) y #s(literal -1/2 binary64))) (*.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal -1/2 binary64)) #s(literal 1/4 binary64))) (*.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/6 binary64) y #s(literal -1/2 binary64))))
(/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/36 binary64) (*.f64 y y))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) y)))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 y y) #s(literal -1/4 binary64))) (neg.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal -1/2 binary64))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/216 binary64) (pow.f64 y #s(literal 3 binary64)) #s(literal 1/8 binary64))) (neg.f64 (+.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 y y)) (*.f64 y #s(literal 1/12 binary64))))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/216 binary64) (pow.f64 y #s(literal 3 binary64)) #s(literal 1/8 binary64))) (neg.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 y y) (-.f64 #s(literal 1/4 binary64) (*.f64 y #s(literal 1/12 binary64))))))
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(/.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 y y) #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/6 binary64) y #s(literal -1/2 binary64)))
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(/.f64 (fma.f64 #s(literal 1/216 binary64) (pow.f64 y #s(literal 3 binary64)) #s(literal 1/8 binary64)) (fma.f64 #s(literal 1/36 binary64) (*.f64 y y) (-.f64 #s(literal 1/4 binary64) (*.f64 y #s(literal 1/12 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/36 binary64) (*.f64 y y) #s(literal -1/4 binary64))))
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(fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64))
(fma.f64 y #s(literal 1/6 binary64) #s(literal 1/2 binary64))
(-.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) y))) (/.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 y y)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) y))))
(-.f64 (/.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 y y)) (fma.f64 #s(literal 1/6 binary64) y #s(literal -1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 1/6 binary64) y #s(literal -1/2 binary64))))
(+.f64 (*.f64 #s(literal 1/6 binary64) y) #s(literal 1/2 binary64))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) y))

eval80.0ms (0.4%)

Memory
-8.5MiB live, 118.2MiB allocated
Compiler

Compiled 20 171 to 2 245 computations (88.9% saved)

prune24.0ms (0.1%)

Memory
27.2MiB live, 65.2MiB allocated
Pruning

22 alts after pruning (14 fresh and 8 done)

PrunedKeptTotal
New43911450
Fresh437
Picked235
Done055
Total44522467
Accuracy
100.0%
Counts
467 → 22
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.3%
(*.f64 x (exp.f64 y))
80.0%
(*.f64 x #s(approx (exp (* y y)) (fma.f64 y y #s(literal 1 binary64))))
33.4%
(*.f64 x #s(approx (exp (* y y)) #s(approx (+ (* y y) 1) (*.f64 y y))))
50.7%
(*.f64 x #s(approx (exp (* y y)) #s(literal 1 binary64)))
39.2%
(*.f64 x #s(approx (exp y) #s(approx (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) (*.f64 y y) y))))
38.7%
(*.f64 x #s(approx (exp y) #s(approx (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (*.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) (*.f64 y y)))))
38.7%
(*.f64 x #s(approx (exp y) #s(approx (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y) y))))
38.5%
(*.f64 x #s(approx (exp y) #s(approx (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (*.f64 #s(approx (+ (* 1/6 y) 1/2) (*.f64 #s(literal 1/6 binary64) y)) (*.f64 y y)))))
90.3%
#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) y) x) (*.f64 y y)) y (fma.f64 x (*.f64 y y) x)))
90.3%
#s(approx (* x (exp (* y y))) #s(approx (+ (* (pow y 3) (+ (* (* (+ (* 1/6 (* y y)) 1/2) y) x) (/ x y))) x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1/2 binary64)) (*.f64 (*.f64 x y) y) x) (*.f64 y y) x)))
90.3%
#s(approx (* x (exp (* y y))) #s(approx (+ (* (pow y 3) (+ (* (* (+ (* 1/6 (* y y)) 1/2) y) x) (/ x y))) x) (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1/2 binary64)) x) (*.f64 y y) x) (*.f64 y y) x)))
90.3%
#s(approx (* x (exp (* y y))) #s(approx (+ (* (pow y 3) (+ (* (* (+ (* 1/6 (* y y)) 1/2) y) x) (/ x y))) x) (fma.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1/2 binary64)) y) x) y x) (*.f64 y y) x)))
86.5%
#s(approx (* x (exp (* y y))) #s(approx (+ (* (pow y 3) (+ (* (* (+ (* 1/6 (* y y)) 1/2) y) x) (/ x y))) x) (fma.f64 (fma.f64 (*.f64 (*.f64 y x) y) #s(literal 1/2 binary64) x) (*.f64 y y) x)))
90.2%
#s(approx (* x (exp (* y y))) #s(approx (+ (* (pow y 3) (+ (* (* (+ (* 1/6 (* y y)) 1/2) y) x) (/ x y))) x) (fma.f64 (fma.f64 (*.f64 #s(approx (+ (* (* y y) 1/6) 1/2) (*.f64 (*.f64 y y) #s(literal 1/6 binary64))) x) (*.f64 y y) x) (*.f64 y y) x)))
86.5%
#s(approx (* x (exp (* y y))) #s(approx (+ (* (pow y 3) (+ (* (* (+ (* 1/6 (* y y)) 1/2) y) x) (/ x y))) x) (fma.f64 (fma.f64 (*.f64 #s(approx (+ (* (* y y) 1/6) 1/2) #s(literal 1/2 binary64)) x) (*.f64 y y) x) (*.f64 y y) x)))
90.3%
#s(approx (* x (exp (* y y))) #s(approx (+ (* (pow y 3) (+ (* (* (+ (* 1/6 (* y y)) 1/2) y) x) (/ x y))) x) (fma.f64 (*.f64 (fma.f64 (*.f64 x (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1/2 binary64))) (*.f64 y y) x) y) y x)))
70.9%
#s(approx (* x (exp (* y y))) #s(approx (+ (* (pow y 3) (+ (* (* (+ (* 1/6 (* y y)) 1/2) y) x) (/ x y))) x) (fma.f64 (*.f64 y x) y x)))
80.6%
#s(approx (* x (exp y)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) (*.f64 x y) x) y x))
81.0%
#s(approx (* x (exp y)) (fma.f64 #s(approx (+ (* (* x (+ (* 1/6 y) 1/2)) y) x) (*.f64 (*.f64 (*.f64 x y) #s(literal 1/6 binary64)) y)) y x))
61.7%
#s(approx (* x (exp y)) (fma.f64 y x x))
34.7%
#s(approx (* x (exp y)) #s(approx (+ (* (+ (* (* x (+ (* 1/6 y) 1/2)) y) x) y) x) (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) x) y) y)))
16.2%
#s(approx (* x (exp y)) #s(approx (+ (* y x) x) (*.f64 y x)))
Compiler

Compiled 1 511 to 574 computations (62% saved)

regimes113.0ms (0.5%)

Memory
-15.3MiB live, 65.4MiB allocated
Counts
31 → 1
Calls
Call 1
Inputs
#s(approx (* x (exp y)) #s(approx (+ (* y x) x) (*.f64 y x)))
(*.f64 x #s(approx (exp (* y y)) #s(literal 1 binary64)))
#s(approx (* x (exp y)) (fma.f64 y x x))
(*.f64 x #s(approx (exp (* y y)) #s(approx (+ (* y y) 1) (*.f64 y y))))
#s(approx (* x (exp (* y y))) #s(approx (+ (* (pow y 3) (+ (* (* (+ (* 1/6 (* y y)) 1/2) y) x) (/ x y))) x) (fma.f64 (*.f64 y x) y x)))
(*.f64 x #s(approx (exp (* y y)) (fma.f64 y y #s(literal 1 binary64))))
(*.f64 x #s(approx (exp y) #s(approx (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (*.f64 #s(approx (+ (* 1/6 y) 1/2) (*.f64 #s(literal 1/6 binary64) y)) (*.f64 y y)))))
#s(approx (* x (exp y)) #s(approx (+ (* (+ (* (* x (+ (* 1/6 y) 1/2)) y) x) y) x) (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) x) y) y)))
#s(approx (* x (exp y)) (fma.f64 #s(approx (+ (* (* x (+ (* 1/6 y) 1/2)) y) x) (*.f64 (*.f64 (*.f64 x y) #s(literal 1/6 binary64)) y)) y x))
(*.f64 x #s(approx (exp y) #s(approx (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y) y))))
(*.f64 x #s(approx (exp y) #s(approx (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (*.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) (*.f64 y y)))))
(*.f64 x #s(approx (exp y) (fma.f64 #s(approx (+ (* (+ (* 1/6 y) 1/2) y) 1) (*.f64 (*.f64 y y) #s(literal 1/6 binary64))) y #s(literal 1 binary64))))
(*.f64 x #s(approx (exp y) #s(approx (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) (*.f64 y y) y))))
(*.f64 x #s(approx (exp y) (fma.f64 #s(approx (+ (* (+ (* 1/6 y) 1/2) y) 1) (*.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y)) y #s(literal 1 binary64))))
#s(approx (* x (exp y)) (fma.f64 (fma.f64 (*.f64 x (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64))) y x) y x))
#s(approx (* x (exp y)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) (*.f64 x y) x) y x))
(*.f64 x #s(approx (exp y) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y #s(literal 1 binary64))))
#s(approx (* x (exp (* y y))) #s(approx (+ (* (pow y 3) (+ (* (* (+ (* 1/6 (* y y)) 1/2) y) x) (/ x y))) x) (fma.f64 (fma.f64 (*.f64 #s(approx (+ (* (* y y) 1/6) 1/2) #s(literal 1/2 binary64)) x) (*.f64 y y) x) (*.f64 y y) x)))
#s(approx (* x (exp (* y y))) #s(approx (+ (* (pow y 3) (+ (* (* (+ (* 1/6 (* y y)) 1/2) y) x) (/ x y))) x) (fma.f64 (fma.f64 (*.f64 (*.f64 y x) y) #s(literal 1/2 binary64) x) (*.f64 y y) x)))
#s(approx (* x (exp (* y y))) #s(approx (+ (* (pow y 3) (+ (* (* (+ (* 1/6 (* y y)) 1/2) y) x) (/ x y))) x) (fma.f64 (fma.f64 (*.f64 #s(approx (+ (* (* y y) 1/6) 1/2) (*.f64 (*.f64 y y) #s(literal 1/6 binary64))) x) (*.f64 y y) x) (*.f64 y y) x)))
#s(approx (* x (exp (* y y))) #s(approx (+ (* (pow y 3) (+ (* (* (+ (* 1/6 (* y y)) 1/2) y) x) (/ x y))) x) (fma.f64 (*.f64 (fma.f64 (*.f64 x (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1/2 binary64))) (*.f64 y y) x) y) y x)))
#s(approx (* x (exp (* y y))) #s(approx (+ (* (pow y 3) (+ (* (* (+ (* 1/6 (* y y)) 1/2) y) x) (/ x y))) x) (fma.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1/2 binary64)) y) x) y x) (*.f64 y y) x)))
#s(approx (* x (exp (* y y))) #s(approx (+ (* (pow y 3) (+ (* (* (+ (* 1/6 (* y y)) 1/2) y) x) (/ x y))) x) (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1/2 binary64)) x) (*.f64 y y) x) (*.f64 y y) x)))
#s(approx (* x (exp (* y y))) #s(approx (+ (* (pow y 3) (+ (* (* (+ (* 1/6 (* y y)) 1/2) y) x) (/ x y))) x) (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) x) (*.f64 y y) x) (*.f64 y y) x)))
#s(approx (* x (exp (* y y))) #s(approx (+ (* (pow y 3) (+ (* (* (+ (* 1/6 (* y y)) 1/2) y) x) (/ x y))) x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1/2 binary64)) (*.f64 (*.f64 x y) y) x) (*.f64 y y) x)))
#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) y) x) y) (*.f64 y y) (fma.f64 x (*.f64 y y) x)))
#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) y) x) (*.f64 y y)) y (fma.f64 x (*.f64 y y) x)))
#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 (*.f64 y y) y) (fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1/2 binary64)) y) x (/.f64 x y)) x))
(*.f64 x (exp.f64 y))
(*.f64 x (exp.f64 (*.f64 y y)))
#s(approx (* x (exp (* y y))) (fma.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1/2 binary64)) y) x (/.f64 x y)) x))
Outputs
(*.f64 x (exp.f64 (*.f64 y y)))
Calls

5 calls:

51.0ms
(*.f64 y y)
35.0ms
y
9.0ms
x
9.0ms
(*.f64 x (exp.f64 (*.f64 y y)))
7.0ms
(exp.f64 (*.f64 y y))
Results
AccuracySegmentsBranch
100.0%1x
100.0%1y
100.0%1(*.f64 x (exp.f64 (*.f64 y y)))
100.0%1(exp.f64 (*.f64 y y))
100.0%1(*.f64 y y)
Compiler

Compiled 15 to 16 computations (-6.7% saved)

regimes64.0ms (0.3%)

Memory
19.1MiB live, 56.6MiB allocated
Counts
29 → 1
Calls
Call 1
Inputs
#s(approx (* x (exp y)) #s(approx (+ (* y x) x) (*.f64 y x)))
(*.f64 x #s(approx (exp (* y y)) #s(literal 1 binary64)))
#s(approx (* x (exp y)) (fma.f64 y x x))
(*.f64 x #s(approx (exp (* y y)) #s(approx (+ (* y y) 1) (*.f64 y y))))
#s(approx (* x (exp (* y y))) #s(approx (+ (* (pow y 3) (+ (* (* (+ (* 1/6 (* y y)) 1/2) y) x) (/ x y))) x) (fma.f64 (*.f64 y x) y x)))
(*.f64 x #s(approx (exp (* y y)) (fma.f64 y y #s(literal 1 binary64))))
(*.f64 x #s(approx (exp y) #s(approx (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (*.f64 #s(approx (+ (* 1/6 y) 1/2) (*.f64 #s(literal 1/6 binary64) y)) (*.f64 y y)))))
#s(approx (* x (exp y)) #s(approx (+ (* (+ (* (* x (+ (* 1/6 y) 1/2)) y) x) y) x) (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) x) y) y)))
#s(approx (* x (exp y)) (fma.f64 #s(approx (+ (* (* x (+ (* 1/6 y) 1/2)) y) x) (*.f64 (*.f64 (*.f64 x y) #s(literal 1/6 binary64)) y)) y x))
(*.f64 x #s(approx (exp y) #s(approx (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y) y))))
(*.f64 x #s(approx (exp y) #s(approx (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (*.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) (*.f64 y y)))))
(*.f64 x #s(approx (exp y) (fma.f64 #s(approx (+ (* (+ (* 1/6 y) 1/2) y) 1) (*.f64 (*.f64 y y) #s(literal 1/6 binary64))) y #s(literal 1 binary64))))
(*.f64 x #s(approx (exp y) #s(approx (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) (*.f64 y y) y))))
(*.f64 x #s(approx (exp y) (fma.f64 #s(approx (+ (* (+ (* 1/6 y) 1/2) y) 1) (*.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y)) y #s(literal 1 binary64))))
#s(approx (* x (exp y)) (fma.f64 (fma.f64 (*.f64 x (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64))) y x) y x))
#s(approx (* x (exp y)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) (*.f64 x y) x) y x))
(*.f64 x #s(approx (exp y) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y #s(literal 1 binary64))))
#s(approx (* x (exp (* y y))) #s(approx (+ (* (pow y 3) (+ (* (* (+ (* 1/6 (* y y)) 1/2) y) x) (/ x y))) x) (fma.f64 (fma.f64 (*.f64 #s(approx (+ (* (* y y) 1/6) 1/2) #s(literal 1/2 binary64)) x) (*.f64 y y) x) (*.f64 y y) x)))
#s(approx (* x (exp (* y y))) #s(approx (+ (* (pow y 3) (+ (* (* (+ (* 1/6 (* y y)) 1/2) y) x) (/ x y))) x) (fma.f64 (fma.f64 (*.f64 (*.f64 y x) y) #s(literal 1/2 binary64) x) (*.f64 y y) x)))
#s(approx (* x (exp (* y y))) #s(approx (+ (* (pow y 3) (+ (* (* (+ (* 1/6 (* y y)) 1/2) y) x) (/ x y))) x) (fma.f64 (fma.f64 (*.f64 #s(approx (+ (* (* y y) 1/6) 1/2) (*.f64 (*.f64 y y) #s(literal 1/6 binary64))) x) (*.f64 y y) x) (*.f64 y y) x)))
#s(approx (* x (exp (* y y))) #s(approx (+ (* (pow y 3) (+ (* (* (+ (* 1/6 (* y y)) 1/2) y) x) (/ x y))) x) (fma.f64 (*.f64 (fma.f64 (*.f64 x (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1/2 binary64))) (*.f64 y y) x) y) y x)))
#s(approx (* x (exp (* y y))) #s(approx (+ (* (pow y 3) (+ (* (* (+ (* 1/6 (* y y)) 1/2) y) x) (/ x y))) x) (fma.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1/2 binary64)) y) x) y x) (*.f64 y y) x)))
#s(approx (* x (exp (* y y))) #s(approx (+ (* (pow y 3) (+ (* (* (+ (* 1/6 (* y y)) 1/2) y) x) (/ x y))) x) (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1/2 binary64)) x) (*.f64 y y) x) (*.f64 y y) x)))
#s(approx (* x (exp (* y y))) #s(approx (+ (* (pow y 3) (+ (* (* (+ (* 1/6 (* y y)) 1/2) y) x) (/ x y))) x) (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) x) (*.f64 y y) x) (*.f64 y y) x)))
#s(approx (* x (exp (* y y))) #s(approx (+ (* (pow y 3) (+ (* (* (+ (* 1/6 (* y y)) 1/2) y) x) (/ x y))) x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1/2 binary64)) (*.f64 (*.f64 x y) y) x) (*.f64 y y) x)))
#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) y) x) y) (*.f64 y y) (fma.f64 x (*.f64 y y) x)))
#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) y) x) (*.f64 y y)) y (fma.f64 x (*.f64 y y) x)))
#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 (*.f64 y y) y) (fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1/2 binary64)) y) x (/.f64 x y)) x))
(*.f64 x (exp.f64 y))
Outputs
(*.f64 x (exp.f64 y))
Calls

5 calls:

31.0ms
(*.f64 x (exp.f64 (*.f64 y y)))
9.0ms
x
8.0ms
y
8.0ms
(*.f64 y y)
6.0ms
(exp.f64 (*.f64 y y))
Results
AccuracySegmentsBranch
99.3%1x
99.3%1y
99.3%1(*.f64 x (exp.f64 (*.f64 y y)))
99.3%1(exp.f64 (*.f64 y y))
99.3%1(*.f64 y y)
Compiler

Compiled 15 to 16 computations (-6.7% saved)

regimes137.0ms (0.7%)

Memory
-28.7MiB live, 55.2MiB allocated
Counts
28 → 1
Calls
Call 1
Inputs
#s(approx (* x (exp y)) #s(approx (+ (* y x) x) (*.f64 y x)))
(*.f64 x #s(approx (exp (* y y)) #s(literal 1 binary64)))
#s(approx (* x (exp y)) (fma.f64 y x x))
(*.f64 x #s(approx (exp (* y y)) #s(approx (+ (* y y) 1) (*.f64 y y))))
#s(approx (* x (exp (* y y))) #s(approx (+ (* (pow y 3) (+ (* (* (+ (* 1/6 (* y y)) 1/2) y) x) (/ x y))) x) (fma.f64 (*.f64 y x) y x)))
(*.f64 x #s(approx (exp (* y y)) (fma.f64 y y #s(literal 1 binary64))))
(*.f64 x #s(approx (exp y) #s(approx (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (*.f64 #s(approx (+ (* 1/6 y) 1/2) (*.f64 #s(literal 1/6 binary64) y)) (*.f64 y y)))))
#s(approx (* x (exp y)) #s(approx (+ (* (+ (* (* x (+ (* 1/6 y) 1/2)) y) x) y) x) (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) x) y) y)))
#s(approx (* x (exp y)) (fma.f64 #s(approx (+ (* (* x (+ (* 1/6 y) 1/2)) y) x) (*.f64 (*.f64 (*.f64 x y) #s(literal 1/6 binary64)) y)) y x))
(*.f64 x #s(approx (exp y) #s(approx (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y) y))))
(*.f64 x #s(approx (exp y) #s(approx (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (*.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) (*.f64 y y)))))
(*.f64 x #s(approx (exp y) (fma.f64 #s(approx (+ (* (+ (* 1/6 y) 1/2) y) 1) (*.f64 (*.f64 y y) #s(literal 1/6 binary64))) y #s(literal 1 binary64))))
(*.f64 x #s(approx (exp y) #s(approx (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) (*.f64 y y) y))))
(*.f64 x #s(approx (exp y) (fma.f64 #s(approx (+ (* (+ (* 1/6 y) 1/2) y) 1) (*.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y)) y #s(literal 1 binary64))))
#s(approx (* x (exp y)) (fma.f64 (fma.f64 (*.f64 x (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64))) y x) y x))
#s(approx (* x (exp y)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) (*.f64 x y) x) y x))
(*.f64 x #s(approx (exp y) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y #s(literal 1 binary64))))
#s(approx (* x (exp (* y y))) #s(approx (+ (* (pow y 3) (+ (* (* (+ (* 1/6 (* y y)) 1/2) y) x) (/ x y))) x) (fma.f64 (fma.f64 (*.f64 #s(approx (+ (* (* y y) 1/6) 1/2) #s(literal 1/2 binary64)) x) (*.f64 y y) x) (*.f64 y y) x)))
#s(approx (* x (exp (* y y))) #s(approx (+ (* (pow y 3) (+ (* (* (+ (* 1/6 (* y y)) 1/2) y) x) (/ x y))) x) (fma.f64 (fma.f64 (*.f64 (*.f64 y x) y) #s(literal 1/2 binary64) x) (*.f64 y y) x)))
#s(approx (* x (exp (* y y))) #s(approx (+ (* (pow y 3) (+ (* (* (+ (* 1/6 (* y y)) 1/2) y) x) (/ x y))) x) (fma.f64 (fma.f64 (*.f64 #s(approx (+ (* (* y y) 1/6) 1/2) (*.f64 (*.f64 y y) #s(literal 1/6 binary64))) x) (*.f64 y y) x) (*.f64 y y) x)))
#s(approx (* x (exp (* y y))) #s(approx (+ (* (pow y 3) (+ (* (* (+ (* 1/6 (* y y)) 1/2) y) x) (/ x y))) x) (fma.f64 (*.f64 (fma.f64 (*.f64 x (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1/2 binary64))) (*.f64 y y) x) y) y x)))
#s(approx (* x (exp (* y y))) #s(approx (+ (* (pow y 3) (+ (* (* (+ (* 1/6 (* y y)) 1/2) y) x) (/ x y))) x) (fma.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1/2 binary64)) y) x) y x) (*.f64 y y) x)))
#s(approx (* x (exp (* y y))) #s(approx (+ (* (pow y 3) (+ (* (* (+ (* 1/6 (* y y)) 1/2) y) x) (/ x y))) x) (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1/2 binary64)) x) (*.f64 y y) x) (*.f64 y y) x)))
#s(approx (* x (exp (* y y))) #s(approx (+ (* (pow y 3) (+ (* (* (+ (* 1/6 (* y y)) 1/2) y) x) (/ x y))) x) (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) x) (*.f64 y y) x) (*.f64 y y) x)))
#s(approx (* x (exp (* y y))) #s(approx (+ (* (pow y 3) (+ (* (* (+ (* 1/6 (* y y)) 1/2) y) x) (/ x y))) x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1/2 binary64)) (*.f64 (*.f64 x y) y) x) (*.f64 y y) x)))
#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) y) x) y) (*.f64 y y) (fma.f64 x (*.f64 y y) x)))
#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) y) x) (*.f64 y y)) y (fma.f64 x (*.f64 y y) x)))
#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 (*.f64 y y) y) (fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1/2 binary64)) y) x (/.f64 x y)) x))
Outputs
#s(approx (* x (exp (* y y))) #s(approx (+ (* (pow y 3) (+ (* (* (+ (* 1/6 (* y y)) 1/2) y) x) (/ x y))) x) (fma.f64 (*.f64 (fma.f64 (*.f64 x (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1/2 binary64))) (*.f64 y y) x) y) y x)))
Calls

5 calls:

58.0ms
x
55.0ms
(*.f64 y y)
8.0ms
y
8.0ms
(*.f64 x (exp.f64 (*.f64 y y)))
6.0ms
(exp.f64 (*.f64 y y))
Results
AccuracySegmentsBranch
90.3%1x
90.3%1y
90.3%1(*.f64 x (exp.f64 (*.f64 y y)))
90.3%1(exp.f64 (*.f64 y y))
90.3%1(*.f64 y y)
Compiler

Compiled 15 to 16 computations (-6.7% saved)

regimes78.0ms (0.4%)

Memory
1.1MiB live, 39.8MiB allocated
Counts
20 → 1
Calls
Call 1
Inputs
#s(approx (* x (exp y)) #s(approx (+ (* y x) x) (*.f64 y x)))
(*.f64 x #s(approx (exp (* y y)) #s(literal 1 binary64)))
#s(approx (* x (exp y)) (fma.f64 y x x))
(*.f64 x #s(approx (exp (* y y)) #s(approx (+ (* y y) 1) (*.f64 y y))))
#s(approx (* x (exp (* y y))) #s(approx (+ (* (pow y 3) (+ (* (* (+ (* 1/6 (* y y)) 1/2) y) x) (/ x y))) x) (fma.f64 (*.f64 y x) y x)))
(*.f64 x #s(approx (exp (* y y)) (fma.f64 y y #s(literal 1 binary64))))
(*.f64 x #s(approx (exp y) #s(approx (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (*.f64 #s(approx (+ (* 1/6 y) 1/2) (*.f64 #s(literal 1/6 binary64) y)) (*.f64 y y)))))
#s(approx (* x (exp y)) #s(approx (+ (* (+ (* (* x (+ (* 1/6 y) 1/2)) y) x) y) x) (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) x) y) y)))
#s(approx (* x (exp y)) (fma.f64 #s(approx (+ (* (* x (+ (* 1/6 y) 1/2)) y) x) (*.f64 (*.f64 (*.f64 x y) #s(literal 1/6 binary64)) y)) y x))
(*.f64 x #s(approx (exp y) #s(approx (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y) y))))
(*.f64 x #s(approx (exp y) #s(approx (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (*.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) (*.f64 y y)))))
(*.f64 x #s(approx (exp y) (fma.f64 #s(approx (+ (* (+ (* 1/6 y) 1/2) y) 1) (*.f64 (*.f64 y y) #s(literal 1/6 binary64))) y #s(literal 1 binary64))))
(*.f64 x #s(approx (exp y) #s(approx (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) (*.f64 y y) y))))
(*.f64 x #s(approx (exp y) (fma.f64 #s(approx (+ (* (+ (* 1/6 y) 1/2) y) 1) (*.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y)) y #s(literal 1 binary64))))
#s(approx (* x (exp y)) (fma.f64 (fma.f64 (*.f64 x (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64))) y x) y x))
#s(approx (* x (exp y)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) (*.f64 x y) x) y x))
(*.f64 x #s(approx (exp y) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y #s(literal 1 binary64))))
#s(approx (* x (exp (* y y))) #s(approx (+ (* (pow y 3) (+ (* (* (+ (* 1/6 (* y y)) 1/2) y) x) (/ x y))) x) (fma.f64 (fma.f64 (*.f64 #s(approx (+ (* (* y y) 1/6) 1/2) #s(literal 1/2 binary64)) x) (*.f64 y y) x) (*.f64 y y) x)))
#s(approx (* x (exp (* y y))) #s(approx (+ (* (pow y 3) (+ (* (* (+ (* 1/6 (* y y)) 1/2) y) x) (/ x y))) x) (fma.f64 (fma.f64 (*.f64 (*.f64 y x) y) #s(literal 1/2 binary64) x) (*.f64 y y) x)))
#s(approx (* x (exp (* y y))) #s(approx (+ (* (pow y 3) (+ (* (* (+ (* 1/6 (* y y)) 1/2) y) x) (/ x y))) x) (fma.f64 (fma.f64 (*.f64 #s(approx (+ (* (* y y) 1/6) 1/2) (*.f64 (*.f64 y y) #s(literal 1/6 binary64))) x) (*.f64 y y) x) (*.f64 y y) x)))
Outputs
#s(approx (* x (exp (* y y))) #s(approx (+ (* (pow y 3) (+ (* (* (+ (* 1/6 (* y y)) 1/2) y) x) (/ x y))) x) (fma.f64 (fma.f64 (*.f64 #s(approx (+ (* (* y y) 1/6) 1/2) (*.f64 (*.f64 y y) #s(literal 1/6 binary64))) x) (*.f64 y y) x) (*.f64 y y) x)))
Calls

5 calls:

54.0ms
x
6.0ms
y
6.0ms
(*.f64 x (exp.f64 (*.f64 y y)))
6.0ms
(*.f64 y y)
5.0ms
(exp.f64 (*.f64 y y))
Results
AccuracySegmentsBranch
90.2%1x
90.2%1y
90.2%1(*.f64 y y)
90.2%1(*.f64 x (exp.f64 (*.f64 y y)))
90.2%1(exp.f64 (*.f64 y y))
Compiler

Compiled 15 to 16 computations (-6.7% saved)

regimes29.0ms (0.1%)

Memory
26.5MiB live, 26.5MiB allocated
Counts
19 → 1
Calls
Call 1
Inputs
#s(approx (* x (exp y)) #s(approx (+ (* y x) x) (*.f64 y x)))
(*.f64 x #s(approx (exp (* y y)) #s(literal 1 binary64)))
#s(approx (* x (exp y)) (fma.f64 y x x))
(*.f64 x #s(approx (exp (* y y)) #s(approx (+ (* y y) 1) (*.f64 y y))))
#s(approx (* x (exp (* y y))) #s(approx (+ (* (pow y 3) (+ (* (* (+ (* 1/6 (* y y)) 1/2) y) x) (/ x y))) x) (fma.f64 (*.f64 y x) y x)))
(*.f64 x #s(approx (exp (* y y)) (fma.f64 y y #s(literal 1 binary64))))
(*.f64 x #s(approx (exp y) #s(approx (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (*.f64 #s(approx (+ (* 1/6 y) 1/2) (*.f64 #s(literal 1/6 binary64) y)) (*.f64 y y)))))
#s(approx (* x (exp y)) #s(approx (+ (* (+ (* (* x (+ (* 1/6 y) 1/2)) y) x) y) x) (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) x) y) y)))
#s(approx (* x (exp y)) (fma.f64 #s(approx (+ (* (* x (+ (* 1/6 y) 1/2)) y) x) (*.f64 (*.f64 (*.f64 x y) #s(literal 1/6 binary64)) y)) y x))
(*.f64 x #s(approx (exp y) #s(approx (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y) y))))
(*.f64 x #s(approx (exp y) #s(approx (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (*.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) (*.f64 y y)))))
(*.f64 x #s(approx (exp y) (fma.f64 #s(approx (+ (* (+ (* 1/6 y) 1/2) y) 1) (*.f64 (*.f64 y y) #s(literal 1/6 binary64))) y #s(literal 1 binary64))))
(*.f64 x #s(approx (exp y) #s(approx (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) (*.f64 y y) y))))
(*.f64 x #s(approx (exp y) (fma.f64 #s(approx (+ (* (+ (* 1/6 y) 1/2) y) 1) (*.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y)) y #s(literal 1 binary64))))
#s(approx (* x (exp y)) (fma.f64 (fma.f64 (*.f64 x (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64))) y x) y x))
#s(approx (* x (exp y)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) (*.f64 x y) x) y x))
(*.f64 x #s(approx (exp y) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y #s(literal 1 binary64))))
#s(approx (* x (exp (* y y))) #s(approx (+ (* (pow y 3) (+ (* (* (+ (* 1/6 (* y y)) 1/2) y) x) (/ x y))) x) (fma.f64 (fma.f64 (*.f64 #s(approx (+ (* (* y y) 1/6) 1/2) #s(literal 1/2 binary64)) x) (*.f64 y y) x) (*.f64 y y) x)))
#s(approx (* x (exp (* y y))) #s(approx (+ (* (pow y 3) (+ (* (* (+ (* 1/6 (* y y)) 1/2) y) x) (/ x y))) x) (fma.f64 (fma.f64 (*.f64 (*.f64 y x) y) #s(literal 1/2 binary64) x) (*.f64 y y) x)))
Outputs
#s(approx (* x (exp (* y y))) #s(approx (+ (* (pow y 3) (+ (* (* (+ (* 1/6 (* y y)) 1/2) y) x) (/ x y))) x) (fma.f64 (fma.f64 (*.f64 #s(approx (+ (* (* y y) 1/6) 1/2) #s(literal 1/2 binary64)) x) (*.f64 y y) x) (*.f64 y y) x)))
Calls

5 calls:

6.0ms
x
6.0ms
y
6.0ms
(*.f64 x (exp.f64 (*.f64 y y)))
5.0ms
(*.f64 y y)
5.0ms
(exp.f64 (*.f64 y y))
Results
AccuracySegmentsBranch
86.5%1x
86.5%1y
86.5%1(*.f64 y y)
86.5%1(*.f64 x (exp.f64 (*.f64 y y)))
86.5%1(exp.f64 (*.f64 y y))
Compiler

Compiled 15 to 16 computations (-6.7% saved)

regimes56.0ms (0.3%)

Memory
-11.4MiB live, 26.9MiB allocated
Counts
17 → 1
Calls
Call 1
Inputs
#s(approx (* x (exp y)) #s(approx (+ (* y x) x) (*.f64 y x)))
(*.f64 x #s(approx (exp (* y y)) #s(literal 1 binary64)))
#s(approx (* x (exp y)) (fma.f64 y x x))
(*.f64 x #s(approx (exp (* y y)) #s(approx (+ (* y y) 1) (*.f64 y y))))
#s(approx (* x (exp (* y y))) #s(approx (+ (* (pow y 3) (+ (* (* (+ (* 1/6 (* y y)) 1/2) y) x) (/ x y))) x) (fma.f64 (*.f64 y x) y x)))
(*.f64 x #s(approx (exp (* y y)) (fma.f64 y y #s(literal 1 binary64))))
(*.f64 x #s(approx (exp y) #s(approx (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (*.f64 #s(approx (+ (* 1/6 y) 1/2) (*.f64 #s(literal 1/6 binary64) y)) (*.f64 y y)))))
#s(approx (* x (exp y)) #s(approx (+ (* (+ (* (* x (+ (* 1/6 y) 1/2)) y) x) y) x) (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) x) y) y)))
#s(approx (* x (exp y)) (fma.f64 #s(approx (+ (* (* x (+ (* 1/6 y) 1/2)) y) x) (*.f64 (*.f64 (*.f64 x y) #s(literal 1/6 binary64)) y)) y x))
(*.f64 x #s(approx (exp y) #s(approx (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y) y))))
(*.f64 x #s(approx (exp y) #s(approx (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (*.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) (*.f64 y y)))))
(*.f64 x #s(approx (exp y) (fma.f64 #s(approx (+ (* (+ (* 1/6 y) 1/2) y) 1) (*.f64 (*.f64 y y) #s(literal 1/6 binary64))) y #s(literal 1 binary64))))
(*.f64 x #s(approx (exp y) #s(approx (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) (*.f64 y y) y))))
(*.f64 x #s(approx (exp y) (fma.f64 #s(approx (+ (* (+ (* 1/6 y) 1/2) y) 1) (*.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y)) y #s(literal 1 binary64))))
#s(approx (* x (exp y)) (fma.f64 (fma.f64 (*.f64 x (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64))) y x) y x))
#s(approx (* x (exp y)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) (*.f64 x y) x) y x))
(*.f64 x #s(approx (exp y) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y #s(literal 1 binary64))))
Outputs
(*.f64 x #s(approx (exp y) (fma.f64 #s(approx (+ (* (+ (* 1/6 y) 1/2) y) 1) (*.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y)) y #s(literal 1 binary64))))
Calls

5 calls:

34.0ms
(*.f64 y y)
6.0ms
x
5.0ms
y
5.0ms
(*.f64 x (exp.f64 (*.f64 y y)))
4.0ms
(exp.f64 (*.f64 y y))
Results
AccuracySegmentsBranch
85.0%1x
85.0%1y
85.0%1(*.f64 x (exp.f64 (*.f64 y y)))
85.0%1(exp.f64 (*.f64 y y))
85.0%1(*.f64 y y)
Compiler

Compiled 15 to 16 computations (-6.7% saved)

regimes23.0ms (0.1%)

Memory
-15.7MiB live, 23.2MiB allocated
Counts
13 → 1
Calls
Call 1
Inputs
#s(approx (* x (exp y)) #s(approx (+ (* y x) x) (*.f64 y x)))
(*.f64 x #s(approx (exp (* y y)) #s(literal 1 binary64)))
#s(approx (* x (exp y)) (fma.f64 y x x))
(*.f64 x #s(approx (exp (* y y)) #s(approx (+ (* y y) 1) (*.f64 y y))))
#s(approx (* x (exp (* y y))) #s(approx (+ (* (pow y 3) (+ (* (* (+ (* 1/6 (* y y)) 1/2) y) x) (/ x y))) x) (fma.f64 (*.f64 y x) y x)))
(*.f64 x #s(approx (exp (* y y)) (fma.f64 y y #s(literal 1 binary64))))
(*.f64 x #s(approx (exp y) #s(approx (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (*.f64 #s(approx (+ (* 1/6 y) 1/2) (*.f64 #s(literal 1/6 binary64) y)) (*.f64 y y)))))
#s(approx (* x (exp y)) #s(approx (+ (* (+ (* (* x (+ (* 1/6 y) 1/2)) y) x) y) x) (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) x) y) y)))
#s(approx (* x (exp y)) (fma.f64 #s(approx (+ (* (* x (+ (* 1/6 y) 1/2)) y) x) (*.f64 (*.f64 (*.f64 x y) #s(literal 1/6 binary64)) y)) y x))
(*.f64 x #s(approx (exp y) #s(approx (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y) y))))
(*.f64 x #s(approx (exp y) #s(approx (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (*.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) (*.f64 y y)))))
(*.f64 x #s(approx (exp y) (fma.f64 #s(approx (+ (* (+ (* 1/6 y) 1/2) y) 1) (*.f64 (*.f64 y y) #s(literal 1/6 binary64))) y #s(literal 1 binary64))))
(*.f64 x #s(approx (exp y) #s(approx (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) (*.f64 y y) y))))
Outputs
(*.f64 x #s(approx (exp y) (fma.f64 #s(approx (+ (* (+ (* 1/6 y) 1/2) y) 1) (*.f64 (*.f64 y y) #s(literal 1/6 binary64))) y #s(literal 1 binary64))))
Calls

5 calls:

6.0ms
x
4.0ms
y
4.0ms
(*.f64 x (exp.f64 (*.f64 y y)))
4.0ms
(*.f64 y y)
3.0ms
(exp.f64 (*.f64 y y))
Results
AccuracySegmentsBranch
85.0%1x
85.0%1y
85.0%1(*.f64 y y)
85.0%1(*.f64 x (exp.f64 (*.f64 y y)))
85.0%1(exp.f64 (*.f64 y y))
Compiler

Compiled 15 to 16 computations (-6.7% saved)

regimes19.0ms (0.1%)

Memory
25.6MiB live, 25.6MiB allocated
Counts
11 → 2
Calls
Call 1
Inputs
#s(approx (* x (exp y)) #s(approx (+ (* y x) x) (*.f64 y x)))
(*.f64 x #s(approx (exp (* y y)) #s(literal 1 binary64)))
#s(approx (* x (exp y)) (fma.f64 y x x))
(*.f64 x #s(approx (exp (* y y)) #s(approx (+ (* y y) 1) (*.f64 y y))))
#s(approx (* x (exp (* y y))) #s(approx (+ (* (pow y 3) (+ (* (* (+ (* 1/6 (* y y)) 1/2) y) x) (/ x y))) x) (fma.f64 (*.f64 y x) y x)))
(*.f64 x #s(approx (exp (* y y)) (fma.f64 y y #s(literal 1 binary64))))
(*.f64 x #s(approx (exp y) #s(approx (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (*.f64 #s(approx (+ (* 1/6 y) 1/2) (*.f64 #s(literal 1/6 binary64) y)) (*.f64 y y)))))
#s(approx (* x (exp y)) #s(approx (+ (* (+ (* (* x (+ (* 1/6 y) 1/2)) y) x) y) x) (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) x) y) y)))
#s(approx (* x (exp y)) (fma.f64 #s(approx (+ (* (* x (+ (* 1/6 y) 1/2)) y) x) (*.f64 (*.f64 (*.f64 x y) #s(literal 1/6 binary64)) y)) y x))
(*.f64 x #s(approx (exp y) #s(approx (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y) y))))
(*.f64 x #s(approx (exp y) #s(approx (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (*.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) (*.f64 y y)))))
Outputs
#s(approx (* x (exp (* y y))) #s(approx (+ (* (pow y 3) (+ (* (* (+ (* 1/6 (* y y)) 1/2) y) x) (/ x y))) x) (fma.f64 (*.f64 y x) y x)))
(*.f64 x #s(approx (exp y) #s(approx (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y) y))))
Calls

5 calls:

4.0ms
x
4.0ms
y
4.0ms
(*.f64 x (exp.f64 (*.f64 y y)))
4.0ms
(*.f64 y y)
3.0ms
(exp.f64 (*.f64 y y))
Results
AccuracySegmentsBranch
81.0%1x
85.2%2y
85.2%2(*.f64 y y)
85.2%2(*.f64 x (exp.f64 (*.f64 y y)))
85.2%2(exp.f64 (*.f64 y y))
Compiler

Compiled 15 to 16 computations (-6.7% saved)

regimes48.0ms (0.2%)

Memory
-25.9MiB live, 14.9MiB allocated
Counts
9 → 2
Calls
Call 1
Inputs
#s(approx (* x (exp y)) #s(approx (+ (* y x) x) (*.f64 y x)))
(*.f64 x #s(approx (exp (* y y)) #s(literal 1 binary64)))
#s(approx (* x (exp y)) (fma.f64 y x x))
(*.f64 x #s(approx (exp (* y y)) #s(approx (+ (* y y) 1) (*.f64 y y))))
#s(approx (* x (exp (* y y))) #s(approx (+ (* (pow y 3) (+ (* (* (+ (* 1/6 (* y y)) 1/2) y) x) (/ x y))) x) (fma.f64 (*.f64 y x) y x)))
(*.f64 x #s(approx (exp (* y y)) (fma.f64 y y #s(literal 1 binary64))))
(*.f64 x #s(approx (exp y) #s(approx (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (*.f64 #s(approx (+ (* 1/6 y) 1/2) (*.f64 #s(literal 1/6 binary64) y)) (*.f64 y y)))))
#s(approx (* x (exp y)) #s(approx (+ (* (+ (* (* x (+ (* 1/6 y) 1/2)) y) x) y) x) (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) x) y) y)))
#s(approx (* x (exp y)) (fma.f64 #s(approx (+ (* (* x (+ (* 1/6 y) 1/2)) y) x) (*.f64 (*.f64 (*.f64 x y) #s(literal 1/6 binary64)) y)) y x))
Outputs
#s(approx (* x (exp (* y y))) #s(approx (+ (* (pow y 3) (+ (* (* (+ (* 1/6 (* y y)) 1/2) y) x) (/ x y))) x) (fma.f64 (*.f64 y x) y x)))
(*.f64 x #s(approx (exp y) #s(approx (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (*.f64 #s(approx (+ (* 1/6 y) 1/2) (*.f64 #s(literal 1/6 binary64) y)) (*.f64 y y)))))
Calls

4 calls:

38.0ms
(*.f64 y y)
3.0ms
y
3.0ms
(*.f64 x (exp.f64 (*.f64 y y)))
3.0ms
(exp.f64 (*.f64 y y))
Results
AccuracySegmentsBranch
85.2%2y
85.2%2(*.f64 y y)
85.2%2(*.f64 x (exp.f64 (*.f64 y y)))
85.2%2(exp.f64 (*.f64 y y))
Compiler

Compiled 14 to 14 computations (0% saved)

regimes13.0ms (0.1%)

Memory
13.0MiB live, 13.0MiB allocated
Counts
6 → 1
Calls
Call 1
Inputs
#s(approx (* x (exp y)) #s(approx (+ (* y x) x) (*.f64 y x)))
(*.f64 x #s(approx (exp (* y y)) #s(literal 1 binary64)))
#s(approx (* x (exp y)) (fma.f64 y x x))
(*.f64 x #s(approx (exp (* y y)) #s(approx (+ (* y y) 1) (*.f64 y y))))
#s(approx (* x (exp (* y y))) #s(approx (+ (* (pow y 3) (+ (* (* (+ (* 1/6 (* y y)) 1/2) y) x) (/ x y))) x) (fma.f64 (*.f64 y x) y x)))
(*.f64 x #s(approx (exp (* y y)) (fma.f64 y y #s(literal 1 binary64))))
Outputs
(*.f64 x #s(approx (exp (* y y)) (fma.f64 y y #s(literal 1 binary64))))
Calls

5 calls:

3.0ms
x
3.0ms
(*.f64 x (exp.f64 (*.f64 y y)))
3.0ms
y
2.0ms
(*.f64 y y)
2.0ms
(exp.f64 (*.f64 y y))
Results
AccuracySegmentsBranch
80.0%1x
80.0%1y
80.0%1(*.f64 y y)
80.0%1(*.f64 x (exp.f64 (*.f64 y y)))
80.0%1(exp.f64 (*.f64 y y))
Compiler

Compiled 15 to 16 computations (-6.7% saved)

regimes11.0ms (0.1%)

Memory
12.2MiB live, 12.2MiB allocated
Counts
5 → 2
Calls
Call 1
Inputs
#s(approx (* x (exp y)) #s(approx (+ (* y x) x) (*.f64 y x)))
(*.f64 x #s(approx (exp (* y y)) #s(literal 1 binary64)))
#s(approx (* x (exp y)) (fma.f64 y x x))
(*.f64 x #s(approx (exp (* y y)) #s(approx (+ (* y y) 1) (*.f64 y y))))
#s(approx (* x (exp (* y y))) #s(approx (+ (* (pow y 3) (+ (* (* (+ (* 1/6 (* y y)) 1/2) y) x) (/ x y))) x) (fma.f64 (*.f64 y x) y x)))
Outputs
#s(approx (* x (exp (* y y))) #s(approx (+ (* (pow y 3) (+ (* (* (+ (* 1/6 (* y y)) 1/2) y) x) (/ x y))) x) (fma.f64 (*.f64 y x) y x)))
(*.f64 x #s(approx (exp (* y y)) #s(approx (+ (* y y) 1) (*.f64 y y))))
Calls

5 calls:

2.0ms
x
2.0ms
y
2.0ms
(*.f64 x (exp.f64 (*.f64 y y)))
2.0ms
(*.f64 y y)
2.0ms
(exp.f64 (*.f64 y y))
Results
AccuracySegmentsBranch
80.0%2y
80.0%2(*.f64 y y)
70.9%1x
80.0%2(*.f64 x (exp.f64 (*.f64 y y)))
80.0%2(exp.f64 (*.f64 y y))
Compiler

Compiled 15 to 16 computations (-6.7% saved)

regimes8.0ms (0%)

Memory
8.9MiB live, 8.9MiB allocated
Counts
4 → 2
Calls
Call 1
Inputs
#s(approx (* x (exp y)) #s(approx (+ (* y x) x) (*.f64 y x)))
(*.f64 x #s(approx (exp (* y y)) #s(literal 1 binary64)))
#s(approx (* x (exp y)) (fma.f64 y x x))
(*.f64 x #s(approx (exp (* y y)) #s(approx (+ (* y y) 1) (*.f64 y y))))
Outputs
(*.f64 x #s(approx (exp (* y y)) #s(literal 1 binary64)))
(*.f64 x #s(approx (exp (* y y)) #s(approx (+ (* y y) 1) (*.f64 y y))))
Calls

4 calls:

2.0ms
y
2.0ms
(*.f64 x (exp.f64 (*.f64 y y)))
2.0ms
(*.f64 y y)
2.0ms
(exp.f64 (*.f64 y y))
Results
AccuracySegmentsBranch
79.7%2y
79.7%2(*.f64 y y)
79.7%2(*.f64 x (exp.f64 (*.f64 y y)))
79.7%2(exp.f64 (*.f64 y y))
Compiler

Compiled 14 to 14 computations (0% saved)

regimes34.0ms (0.2%)

Memory
-24.1MiB live, 15.0MiB allocated
Counts
3 → 1
Calls
Call 1
Inputs
#s(approx (* x (exp y)) #s(approx (+ (* y x) x) (*.f64 y x)))
(*.f64 x #s(approx (exp (* y y)) #s(literal 1 binary64)))
#s(approx (* x (exp y)) (fma.f64 y x x))
Outputs
#s(approx (* x (exp y)) (fma.f64 y x x))
Calls

5 calls:

27.0ms
(*.f64 y y)
2.0ms
x
2.0ms
y
2.0ms
(*.f64 x (exp.f64 (*.f64 y y)))
1.0ms
(exp.f64 (*.f64 y y))
Results
AccuracySegmentsBranch
61.7%1x
61.7%1y
61.7%1(*.f64 x (exp.f64 (*.f64 y y)))
61.7%1(exp.f64 (*.f64 y y))
61.7%1(*.f64 y y)
Compiler

Compiled 15 to 16 computations (-6.7% saved)

regimes7.0ms (0%)

Memory
13.7MiB live, 13.7MiB allocated
Counts
2 → 2
Calls
Call 1
Inputs
#s(approx (* x (exp y)) #s(approx (+ (* y x) x) (*.f64 y x)))
(*.f64 x #s(approx (exp (* y y)) #s(literal 1 binary64)))
Outputs
(*.f64 x #s(approx (exp (* y y)) #s(literal 1 binary64)))
#s(approx (* x (exp y)) #s(approx (+ (* y x) x) (*.f64 y x)))
Calls

5 calls:

1.0ms
x
1.0ms
y
1.0ms
(*.f64 x (exp.f64 (*.f64 y y)))
1.0ms
(*.f64 y y)
1.0ms
(exp.f64 (*.f64 y y))
Results
AccuracySegmentsBranch
62.0%2(*.f64 x (exp.f64 (*.f64 y y)))
62.0%2(exp.f64 (*.f64 y y))
62.0%2(*.f64 y y)
62.0%2y
53.1%2x
Compiler

Compiled 15 to 16 computations (-6.7% saved)

regimes23.0ms (0.1%)

Memory
-25.2MiB live, 12.1MiB allocated
Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

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

5 calls:

1.0ms
x
1.0ms
y
1.0ms
(*.f64 x (exp.f64 (*.f64 y y)))
1.0ms
(*.f64 y y)
1.0ms
(exp.f64 (*.f64 y y))
Results
AccuracySegmentsBranch
16.2%1x
16.2%1y
16.2%1(*.f64 x (exp.f64 (*.f64 y y)))
16.2%1(exp.f64 (*.f64 y y))
16.2%1(*.f64 y y)
Compiler

Compiled 15 to 16 computations (-6.7% saved)

bsearch0.0ms (0%)

Memory
0.7MiB live, 0.7MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
1.0000037482788657
+inf
Compiler

Compiled 9 to 10 computations (-11.1% saved)

bsearch0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
1.0000037482788657
+inf
Compiler

Compiled 9 to 10 computations (-11.1% saved)

bsearch0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
1.0000037482788657
+inf
Compiler

Compiled 9 to 10 computations (-11.1% saved)

bsearch0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
1.0000037482788657
+inf
Compiler

Compiled 9 to 10 computations (-11.1% saved)

bsearch13.0ms (0.1%)

Memory
15.2MiB live, 15.2MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
12.0ms
0.0019360454129410838
943247.3935982676
Samples
7.0ms144×0valid
Compiler

Compiled 207 to 172 computations (16.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 3.0ms
ival-exp: 2.0ms (57.3% of total)
ival-mult: 2.0ms (57.3% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

simplify72.0ms (0.3%)

Memory
-0.6MiB live, 36.0MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
0100500
1137500
2214500
3475500
41354488
52779488
65904488
76869488
87357488
97633488
107999488
Stop Event
node limit
Calls
Call 1
Inputs
(*.f64 x (exp.f64 (*.f64 y y)))
(*.f64 x (exp.f64 y))
#s(approx (* x (exp (* y y))) #s(approx (+ (* (pow y 3) (+ (* (* (+ (* 1/6 (* y y)) 1/2) y) x) (/ x y))) x) (fma.f64 (*.f64 (fma.f64 (*.f64 x (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1/2 binary64))) (*.f64 y y) x) y) y x)))
#s(approx (* x (exp (* y y))) #s(approx (+ (* (pow y 3) (+ (* (* (+ (* 1/6 (* y y)) 1/2) y) x) (/ x y))) x) (fma.f64 (fma.f64 (*.f64 #s(approx (+ (* (* y y) 1/6) 1/2) (*.f64 (*.f64 y y) #s(literal 1/6 binary64))) x) (*.f64 y y) x) (*.f64 y y) x)))
#s(approx (* x (exp (* y y))) #s(approx (+ (* (pow y 3) (+ (* (* (+ (* 1/6 (* y y)) 1/2) y) x) (/ x y))) x) (fma.f64 (fma.f64 (*.f64 #s(approx (+ (* (* y y) 1/6) 1/2) #s(literal 1/2 binary64)) x) (*.f64 y y) x) (*.f64 y y) x)))
(*.f64 x #s(approx (exp y) (fma.f64 #s(approx (+ (* (+ (* 1/6 y) 1/2) y) 1) (*.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y)) y #s(literal 1 binary64))))
(*.f64 x #s(approx (exp y) (fma.f64 #s(approx (+ (* (+ (* 1/6 y) 1/2) y) 1) (*.f64 (*.f64 y y) #s(literal 1/6 binary64))) y #s(literal 1 binary64))))
(if (<=.f64 (exp.f64 (*.f64 y y)) #s(literal 2 binary64)) #s(approx (* x (exp (* y y))) #s(approx (+ (* (pow y 3) (+ (* (* (+ (* 1/6 (* y y)) 1/2) y) x) (/ x y))) x) (fma.f64 (*.f64 y x) y x))) (*.f64 x #s(approx (exp y) #s(approx (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y) y)))))
(if (<=.f64 (exp.f64 (*.f64 y y)) #s(literal 2 binary64)) #s(approx (* x (exp (* y y))) #s(approx (+ (* (pow y 3) (+ (* (* (+ (* 1/6 (* y y)) 1/2) y) x) (/ x y))) x) (fma.f64 (*.f64 y x) y x))) (*.f64 x #s(approx (exp y) #s(approx (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (*.f64 #s(approx (+ (* 1/6 y) 1/2) (*.f64 #s(literal 1/6 binary64) y)) (*.f64 y y))))))
(*.f64 x #s(approx (exp (* y y)) (fma.f64 y y #s(literal 1 binary64))))
(if (<=.f64 (exp.f64 (*.f64 y y)) #s(literal 2 binary64)) #s(approx (* x (exp (* y y))) #s(approx (+ (* (pow y 3) (+ (* (* (+ (* 1/6 (* y y)) 1/2) y) x) (/ x y))) x) (fma.f64 (*.f64 y x) y x))) (*.f64 x #s(approx (exp (* y y)) #s(approx (+ (* y y) 1) (*.f64 y y)))))
(if (<=.f64 (exp.f64 (*.f64 y y)) #s(literal 2 binary64)) (*.f64 x #s(approx (exp (* y y)) #s(literal 1 binary64))) (*.f64 x #s(approx (exp (* y y)) #s(approx (+ (* y y) 1) (*.f64 y y)))))
#s(approx (* x (exp y)) (fma.f64 y x x))
(if (<=.f64 y #s(literal 1 binary64)) (*.f64 x #s(approx (exp (* y y)) #s(literal 1 binary64))) #s(approx (* x (exp y)) #s(approx (+ (* y x) x) (*.f64 y x))))
#s(approx (* x (exp y)) #s(approx (+ (* y x) x) (*.f64 y x)))
Outputs
(*.f64 x (exp.f64 (*.f64 y y)))
(*.f64 x (exp.f64 y))
#s(approx (* x (exp (* y y))) #s(approx (+ (* (pow y 3) (+ (* (* (+ (* 1/6 (* y y)) 1/2) y) x) (/ x y))) x) (fma.f64 (*.f64 (fma.f64 (*.f64 x (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1/2 binary64))) (*.f64 y y) x) y) y x)))
#s(approx (* x (exp (* y y))) #s(approx (+ (* (pow y 3) (+ (* (* (+ (* 1/6 (* y y)) 1/2) y) x) (/ x y))) x) (fma.f64 (fma.f64 (*.f64 #s(approx (+ (* (* y y) 1/6) 1/2) (*.f64 (*.f64 y y) #s(literal 1/6 binary64))) x) (*.f64 y y) x) (*.f64 y y) x)))
#s(approx (* x (exp (* y y))) #s(approx (+ (* (pow y 3) (+ (* (* (+ (* 1/6 (* y y)) 1/2) y) x) (/ x y))) x) (fma.f64 (fma.f64 (*.f64 #s(approx (+ (* (* y y) 1/6) 1/2) #s(literal 1/2 binary64)) x) (*.f64 y y) x) (*.f64 y y) x)))
(*.f64 x #s(approx (exp y) (fma.f64 #s(approx (+ (* (+ (* 1/6 y) 1/2) y) 1) (*.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y)) y #s(literal 1 binary64))))
(*.f64 x #s(approx (exp y) (fma.f64 #s(approx (+ (* (+ (* 1/6 y) 1/2) y) 1) (*.f64 (*.f64 y y) #s(literal 1/6 binary64))) y #s(literal 1 binary64))))
(if (<=.f64 (exp.f64 (*.f64 y y)) #s(literal 2 binary64)) #s(approx (* x (exp (* y y))) #s(approx (+ (* (pow y 3) (+ (* (* (+ (* 1/6 (* y y)) 1/2) y) x) (/ x y))) x) (fma.f64 (*.f64 y x) y x))) (*.f64 x #s(approx (exp y) #s(approx (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y) y)))))
(if (<=.f64 (exp.f64 (*.f64 y y)) #s(literal 2 binary64)) #s(approx (* x (exp (* y y))) #s(approx (+ (* (pow y 3) (+ (* (* (+ (* 1/6 (* y y)) 1/2) y) x) (/ x y))) x) (fma.f64 (*.f64 y x) y x))) (*.f64 x #s(approx (exp y) #s(approx (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (*.f64 #s(approx (+ (* 1/6 y) 1/2) (*.f64 #s(literal 1/6 binary64) y)) (*.f64 y y))))))
(*.f64 x #s(approx (exp (* y y)) (fma.f64 y y #s(literal 1 binary64))))
(if (<=.f64 (exp.f64 (*.f64 y y)) #s(literal 2 binary64)) #s(approx (* x (exp (* y y))) #s(approx (+ (* (pow y 3) (+ (* (* (+ (* 1/6 (* y y)) 1/2) y) x) (/ x y))) x) (fma.f64 (*.f64 y x) y x))) (*.f64 x #s(approx (exp (* y y)) #s(approx (+ (* y y) 1) (*.f64 y y)))))
(if (<=.f64 (exp.f64 (*.f64 y y)) #s(literal 2 binary64)) (*.f64 x #s(approx (exp (* y y)) #s(literal 1 binary64))) (*.f64 x #s(approx (exp (* y y)) #s(approx (+ (* y y) 1) (*.f64 y y)))))
#s(approx (* x (exp y)) (fma.f64 y x x))
(if (<=.f64 y #s(literal 1 binary64)) (*.f64 x #s(approx (exp (* y y)) #s(literal 1 binary64))) #s(approx (* x (exp y)) #s(approx (+ (* y x) x) (*.f64 y x))))
#s(approx (* x (exp y)) #s(approx (+ (* y x) x) (*.f64 y x)))

soundness2.0s (9.4%)

Memory
-3.4MiB live, 1 029.2MiB allocated
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
0513
0813
11313
22613
36913
42945
026665
0160577
1523574
21678545
34372539
08186473
061166
1186166
2470158
31122156
41595156
52133156
63050156
73600156
83867156
94194156
104884156
115511156
126675156
137960156
08028132
0205852
1692846
22304800
36128797
08212708
051368
071366
1295360
22148356
08384348
03397
19597
227691
375089
498989
5116189
6131889
7143689
8143687
9176787
10180087
11180187
12182387
0182375
Stop Event
fuel
iter limit
saturated
iter limit
node limit
iter limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
iter limit
iter limit
unsound
iter limit
Compiler

Compiled 739 to 319 computations (56.8% saved)

preprocess90.0ms (0.4%)

Memory
11.1MiB live, 170.0MiB allocated
Remove

(negabs x)

(abs y)

Compiler

Compiled 1 072 to 266 computations (75.2% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

Loading profile data...