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

Time bar (total: 3.6s)

start0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

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

Compiled 8 to 7 computations (12.5% saved)

sample486.0ms (13.6%)

Memory
178.6MiB live, 178.6MiB allocated
Samples
305.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 169.0ms
ival-mult: 100.0ms (59.3% of total)
ival-exp: 59.0ms (35% of total)
ival-true: 6.0ms (3.6% of total)
ival-assert: 3.0ms (1.8% of total)
Bogosity

explain60.0ms (1.7%)

Memory
31.7MiB live, 31.7MiB 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
22.0ms512×0valid
Compiler

Compiled 70 to 29 computations (58.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 11.0ms
ival-mult: 6.0ms (56.1% of total)
ival-exp: 4.0ms (37.4% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess32.0ms (0.9%)

Memory
6.2MiB live, 6.2MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01532
14932
29932
321632
436232
551732
660332
764032
867432
968132
1068532
1168632
056
086
1116
0116
Stop Event
iter limit
saturated
iter limit
saturated
Calls
Call 1
Inputs
(*.f64 x (exp.f64 (*.f64 y y)))
Outputs
(*.f64 x (exp.f64 (*.f64 y y)))
(*.f64 (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
0.0MiB live, 0.0MiB allocated
Compiler

Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory
0.3MiB live, 0.3MiB 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)

simplify2.0ms (0.1%)

Memory
0.4MiB live, 0.4MiB allocated
Algorithm
egg-herbie
Localize:

Found 3 expressions of interest:

NewMetricScoreProgram
cost-diff-6144
(exp.f64 (*.f64 y y))
cost-diff0
(*.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

localize14.0ms (0.4%)

Memory
6.3MiB live, 6.3MiB allocated
Localize:

Found 3 expressions of interest:

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

Compiled 32 to 12 computations (62.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 5.0ms
ival-mult: 3.0ms (59.8% of total)
ival-exp: 2.0ms (39.9% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series4.0ms (0.1%)

Memory
1.9MiB live, 1.9MiB allocated
Counts
3 → 11
Calls
Call 1
Inputs
(*.f64 x (exp.f64 (*.f64 y y)))
(*.f64 y y)
(exp.f64 (*.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))))))
(pow y 2)
1
(+ 1 (pow y 2))
(+ 1 (* (pow y 2) (+ 1 (* 1/2 (pow y 2)))))
(+ 1 (* (pow y 2) (+ 1 (* (pow y 2) (+ 1/2 (* 1/6 (pow y 2)))))))
(exp (pow y 2))
Calls

6 calls:

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

simplify49.0ms (1.4%)

Memory
6.4MiB live, 6.4MiB 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))))))
(pow y 2)
1
(+ 1 (pow y 2))
(+ 1 (* (pow y 2) (+ 1 (* 1/2 (pow y 2)))))
(+ 1 (* (pow y 2) (+ 1 (* (pow y 2) (+ 1/2 (* 1/6 (pow y 2)))))))
(exp (pow y 2))
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)
(pow y 2)
(*.f64 y y)
1
#s(literal 1 binary64)
(+ 1 (pow y 2))
(fma.f64 y y #s(literal 1 binary64))
(+ 1 (* (pow y 2) (+ 1 (* 1/2 (pow y 2)))))
(fma.f64 (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))))
(exp (pow y 2))
(pow.f64 (exp.f64 y) y)

rewrite41.0ms (1.1%)

Memory
5.4MiB live, 5.4MiB 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)))
(*.f64 y y)
(exp.f64 (*.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))
y
#s(literal 0 binary64)
#s(literal 1 binary64)

eval2.0ms (0%)

Memory
1.5MiB live, 1.5MiB allocated
Compiler

Compiled 171 to 47 computations (72.5% saved)

prune1.0ms (0%)

Memory
1.6MiB live, 1.6MiB 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)))
99.2%
(*.f64 x (exp.f64 y))
82.7%
(*.f64 x #s(approx (exp (* y y)) (fma.f64 y y #s(literal 1 binary64))))
51.4%
(*.f64 x #s(approx (exp (* y y)) #s(literal 1 binary64)))
Compiler

Compiled 29 to 24 computations (17.2% saved)

simplify3.0ms (0.1%)

Memory
0.6MiB live, 0.6MiB 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

localize24.0ms (0.7%)

Memory
10.5MiB live, 10.5MiB allocated
Localize:

Found 7 expressions of interest:

NewMetricScoreProgram
accuracy0
(exp.f64 y)
accuracy0.0078125
(*.f64 x (exp.f64 y))
accuracy0
(fma.f64 y y #s(literal 1 binary64))
accuracy0
(*.f64 x #s(approx (exp (* y y)) (fma.f64 y y #s(literal 1 binary64))))
accuracy14.378592769688522
#s(approx (exp (* y y)) (fma.f64 y y #s(literal 1 binary64)))
accuracy0
(*.f64 x #s(approx (exp (* y y)) #s(literal 1 binary64)))
accuracy31.254570019536885
#s(approx (exp (* y y)) #s(literal 1 binary64))
Samples
17.0ms256×0valid
Compiler

Compiled 91 to 23 computations (74.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 9.0ms
ival-mult: 4.0ms (43.1% of total)
ival-exp: 3.0ms (32.3% of total)
ival-add: 1.0ms (10.8% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series4.0ms (0.1%)

Memory
2.6MiB live, 2.6MiB 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
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
@-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
@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))

simplify179.0ms (5%)

Memory
38.6MiB live, 38.6MiB 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)

rewrite132.0ms (3.7%)

Memory
50.4MiB live, 50.4MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01244
01744
13944
216644
3122144
0879944
Stop Event
iter limit
node limit
iter limit
Counts
7 → 265
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)))
(*.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 (fma.f64 y y (pow.f64 y #s(literal 4 binary64))) #s(literal 1 binary64)))
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(+.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) (/.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 (fma.f64 y y #s(literal 1 binary64)) (/.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 (*.f64 (fma.f64 y y #s(literal 1 binary64)) (/.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)) (/.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 (*.f64 (fma.f64 y y (pow.f64 y #s(literal 4 binary64))) (/.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 #s(literal 1 binary64) (/.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 (*.f64 #s(literal 1 binary64) (/.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 (fma.f64 y y (pow.f64 y #s(literal 4 binary64))) (/.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 (*.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -1 binary64)) (/.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 (*.f64 y y) (/.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 (*.f64 (pow.f64 y #s(literal 4 binary64)) (/.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 (fma.f64 y y #s(literal 1 binary64)) (/.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 (*.f64 (fma.f64 y y #s(literal 1 binary64)) (/.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)) (/.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 (*.f64 (fma.f64 y y (pow.f64 y #s(literal 4 binary64))) (/.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 #s(literal 1 binary64) (/.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 (*.f64 #s(literal 1 binary64) (/.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 (fma.f64 y y (pow.f64 y #s(literal 4 binary64))) (/.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 (*.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) (/.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 (*.f64 y y) (/.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 (*.f64 (pow.f64 y #s(literal 4 binary64)) (/.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 (fma.f64 y y #s(literal -1 binary64)) (/.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 (*.f64 (-.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 (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 y #s(literal 8 binary64)) (/.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 (*.f64 (pow.f64 y #s(literal 8 binary64)) (/.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 (-.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 (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 (*.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y y #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) y))) (*.f64 y (/.f64 (fma.f64 y y #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) y))))
(+.f64 (*.f64 y (/.f64 (fma.f64 y y #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) y))) (*.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y y #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) y))))
(+.f64 (*.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))) (pow.f64 (fma.f64 y (-.f64 (pow.f64 y #s(literal 3 binary64)) y) #s(literal 1 binary64)) #s(literal -1 binary64)))
(+.f64 (*.f64 (fma.f64 y y (pow.f64 y #s(literal 4 binary64))) (pow.f64 (fma.f64 y y #s(literal -1 binary64)) #s(literal -1 binary64))) (*.f64 (neg.f64 (fma.f64 y y #s(literal 1 binary64))) (pow.f64 (fma.f64 y y #s(literal -1 binary64)) #s(literal -1 binary64))))
(+.f64 (*.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 y y #s(literal -1 binary64))) #s(literal 1 binary64)) (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 y y #s(literal -1 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)))) (-.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)) #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 (/.f64 #s(literal -1 binary64) (fma.f64 y y #s(literal -1 binary64))) (/.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) (fma.f64 y y #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)

eval25.0ms (0.7%)

Memory
23.6MiB live, 23.6MiB allocated
Compiler

Compiled 8 492 to 1 163 computations (86.3% saved)

prune5.0ms (0.1%)

Memory
11.4MiB live, 11.4MiB allocated
Pruning

7 alts after pruning (3 fresh and 4 done)

PrunedKeptTotal
New2793282
Fresh000
Picked033
Done011
Total2797286
Accuracy
100.0%
Counts
286 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(*.f64 x (exp.f64 (*.f64 y y)))
99.2%
(*.f64 x (exp.f64 y))
82.7%
(*.f64 x #s(approx (exp (* y y)) (fma.f64 y y #s(literal 1 binary64))))
35.4%
(*.f64 x #s(approx (exp (* y y)) #s(approx (+ (* y y) 1) (*.f64 y y))))
51.4%
(*.f64 x #s(approx (exp (* y y)) #s(literal 1 binary64)))
86.5%
(*.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))))
60.7%
#s(approx (* x (exp y)) (fma.f64 y x x))
Compiler

Compiled 69 to 51 computations (26.1% saved)

simplify9.0ms (0.3%)

Memory
1.9MiB live, 1.9MiB allocated
Algorithm
egg-herbie
Localize:

Found 10 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 y x x)
cost-diff0
#s(approx (* x (exp y)) (fma.f64 y x x))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
021113
032113
149113
267113
3135113
4267113
5377113
6398113
0398110
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
#s(approx (* x (exp y)) (fma.f64 y x x))
(fma.f64 y x x)
y
x
(*.f64 x #s(approx (exp y) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y #s(literal 1 binary64))))
x
#s(approx (exp y) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y #s(literal 1 binary64)))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y #s(literal 1 binary64))
(fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64))
(fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64))
#s(literal 1/6 binary64)
y
#s(literal 1/2 binary64)
#s(literal 1 binary64)
(*.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
(*.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

localize43.0ms (1.2%)

Memory
19.0MiB live, 19.0MiB allocated
Localize:

Found 10 expressions of interest:

NewMetricScoreProgram
accuracy0
(*.f64 y y)
accuracy0
(*.f64 x #s(approx (exp (* y y)) #s(approx (+ (* y y) 1) (*.f64 y y))))
accuracy14.378592769688522
#s(approx (exp (* y y)) #s(approx (+ (* y y) 1) (*.f64 y y)))
accuracy30.782125211760626
#s(approx (+ (* y y) 1) (*.f64 y y))
accuracy0.02734375
(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))
accuracy0.05859375
(fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64))
accuracy0.13671875
(fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64))
accuracy9.451950348107927
#s(approx (exp y) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y #s(literal 1 binary64)))
accuracy0
(fma.f64 y x x)
accuracy24.87240549763538
#s(approx (* x (exp y)) (fma.f64 y x x))
Samples
32.0ms256×0valid
Compiler

Compiled 184 to 43 computations (76.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 22.0ms
ival-mult: 9.0ms (41.1% of total)
ival-add: 5.0ms (22.8% of total)
ival-exp: 4.0ms (18.3% of total)
const: 3.0ms (13.7% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series8.0ms (0.2%)

Memory
4.5MiB live, 4.5MiB allocated
Counts
11 → 40
Calls
Call 1
Inputs
#s(approx (* x (exp y)) (fma.f64 y x x))
(fma.f64 y x x)
(*.f64 x #s(approx (exp y) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y #s(literal 1 binary64))))
#s(approx (exp y) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y #s(literal 1 binary64)))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y #s(literal 1 binary64))
(fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64))
(*.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) y #s(literal 1/2 binary64))
Outputs
(* x (exp y))
(* x (+ 1 y))
(* x (exp (pow y 2)))
(* -1 (* x (- (* -1 y) 1)))
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 (* 1/2 y))
(+ 1 (* y (+ 1/2 (* 1/6 y))))
(+ 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 (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 y))
(* x y)
(* 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 (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))))
(* 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)))
Calls

6 calls:

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

simplify119.0ms (3.3%)

Memory
37.5MiB live, 37.5MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0106310
1345306
2960292
32790290
47485290
08112243
Stop Event
iter limit
node limit
Counts
40 → 39
Calls
Call 1
Inputs
(* x (exp y))
(* x (+ 1 y))
(* x (exp (pow y 2)))
(* -1 (* x (- (* -1 y) 1)))
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 (* 1/2 y))
(+ 1 (* y (+ 1/2 (* 1/6 y))))
(+ 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 (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 y))
(* x y)
(* 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 (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))))
(* 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)))
Outputs
(* x (exp y))
(*.f64 (exp.f64 y) x)
(* x (+ 1 y))
(fma.f64 y x x)
(* x (exp (pow y 2)))
(*.f64 (pow.f64 (exp.f64 y) y) x)
(* -1 (* x (- (* -1 y) 1)))
(fma.f64 y x x)
x
(+ x (* x y))
(fma.f64 y x x)
(+ x (* y (+ x (* 1/2 (* x y)))))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y x) 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)
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))
(+ 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 (*.f64 x (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1/2 binary64) y)) y x)
(+ x (* (pow y 2) (+ x (* (pow y 2) (+ (* 1/6 (* x (pow y 2))) (* 1/2 x))))))
(fma.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) x) (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1/2 binary64)) (fma.f64 (*.f64 y x) y x))
(+ 1 (pow y 2))
(fma.f64 y y #s(literal 1 binary64))
(+ 1 (* (pow y 2) (+ 1 (* 1/2 (pow y 2)))))
(fma.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1/2 binary64) y) y #s(literal 1 binary64))
(+ 1 (* (pow y 2) (+ 1 (* (pow y 2) (+ 1/2 (* 1/6 (pow y 2)))))))
(fma.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1/2 binary64)) y) y #s(literal 1 binary64))
(pow y 2)
(*.f64 y y)
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* 1/6 y))
(fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64))
(* x y)
(*.f64 y x)
(* y (+ x (/ x y)))
(fma.f64 y x x)
(exp y)
(exp.f64 y)
(* 1/6 (pow y 3))
(*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1/6 binary64))
(* (pow y 3) (+ 1/6 (* 1/2 (/ 1 y))))
(*.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) (*.f64 y y))
(* (pow y 3) (+ 1/6 (+ (* 1/2 (/ 1 y)) (/ 1 (pow y 2)))))
(fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) (*.f64 y y) y)
(* (pow y 3) (+ 1/6 (+ (* 1/2 (/ 1 y)) (+ (/ 1 (pow y 2)) (/ 1 (pow y 3))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y #s(literal 1 binary64))
(* 1/6 (pow y 2))
(*.f64 (*.f64 #s(literal 1/6 binary64) y) y)
(* (pow y 2) (+ 1/6 (* 1/2 (/ 1 y))))
(*.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y)
(* (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))
(* 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 (/ (+ 1/2 (/ 1 y)) y)) 1/6)))
(fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) (*.f64 y y) y)
(* -1 (* (pow y 3) (- (* -1 (/ (+ 1/2 (+ (/ 1 y) (/ 1 (pow y 2)))) y)) 1/6)))
(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))

rewrite138.0ms (3.9%)

Memory
47.7MiB live, 47.7MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
021104
032104
1110104
2726104
38000104
08003101
Stop Event
iter limit
node limit
iter limit
Counts
11 → 359
Calls
Call 1
Inputs
#s(approx (* x (exp y)) (fma.f64 y x x))
(fma.f64 y x x)
(*.f64 x #s(approx (exp y) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y #s(literal 1 binary64))))
#s(approx (exp y) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y #s(literal 1 binary64)))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y #s(literal 1 binary64))
(fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64))
(*.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) y #s(literal 1/2 binary64))
Outputs
#s(approx (* x (exp y)) (fma.f64 y x x))
(*.f64 (/.f64 (*.f64 x (fma.f64 (*.f64 y x) y (neg.f64 x))) (-.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 x (fma.f64 y x x) (pow.f64 (*.f64 y x) #s(literal 2 binary64))))
(*.f64 (/.f64 (*.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64))) (-.f64 (pow.f64 (*.f64 y x) #s(literal 4 binary64)) (pow.f64 (*.f64 (-.f64 x (*.f64 y x)) x) #s(literal 2 binary64)))) (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (*.f64 (-.f64 x (*.f64 y x)) x)))
(*.f64 (/.f64 (*.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (-.f64 x (*.f64 y x)) x) #s(literal 3 binary64)) (pow.f64 (*.f64 y x) #s(literal 6 binary64)))) (fma.f64 (*.f64 (-.f64 x (*.f64 y x)) x) (-.f64 (*.f64 (-.f64 x (*.f64 y x)) x) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (pow.f64 (*.f64 y x) #s(literal 4 binary64))))
(*.f64 (/.f64 (*.f64 x (fma.f64 (*.f64 y x) y (neg.f64 x))) (*.f64 x (fma.f64 (*.f64 y x) y (neg.f64 x)))) (fma.f64 y x x))
(*.f64 (*.f64 x (-.f64 x (*.f64 (*.f64 y x) y))) (/.f64 #s(literal 1 binary64) (-.f64 x (*.f64 y x))))
(*.f64 (pow.f64 (-.f64 (*.f64 y x) x) #s(literal -1 binary64)) (*.f64 x (fma.f64 (*.f64 y x) y (neg.f64 x))))
(*.f64 (pow.f64 (*.f64 x (fma.f64 (*.f64 y x) y (-.f64 x (*.f64 y x)))) #s(literal -1 binary64)) (*.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64))))
(*.f64 (neg.f64 (*.f64 x (fma.f64 (*.f64 y x) y (neg.f64 x)))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (*.f64 y x) x))))
(*.f64 (neg.f64 (*.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 x (fma.f64 (*.f64 y x) y (-.f64 x (*.f64 y x)))))))
(*.f64 (+.f64 #s(literal 1 binary64) y) x)
(*.f64 (*.f64 x (fma.f64 (*.f64 y x) y (neg.f64 x))) (pow.f64 (-.f64 (*.f64 y x) x) #s(literal -1 binary64)))
(*.f64 (*.f64 x (fma.f64 (*.f64 y x) y (-.f64 x (*.f64 y x)))) (/.f64 (fma.f64 y x x) (*.f64 x (fma.f64 (*.f64 y x) y (-.f64 x (*.f64 y x))))))
(*.f64 (*.f64 x (fma.f64 (*.f64 y x) y (-.f64 x (*.f64 y x)))) (*.f64 (fma.f64 y x x) (pow.f64 (*.f64 x (fma.f64 (*.f64 y x) y (-.f64 x (*.f64 y x)))) #s(literal -1 binary64))))
(*.f64 (*.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (*.f64 x (fma.f64 (*.f64 y x) y (-.f64 x (*.f64 y x)))) #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (fma.f64 y x x))
(*.f64 (fma.f64 y x x) (/.f64 (-.f64 (*.f64 y x) x) (-.f64 (*.f64 y x) x)))
(*.f64 (fma.f64 y x x) (*.f64 (-.f64 (*.f64 y x) x) (pow.f64 (-.f64 (*.f64 y x) x) #s(literal -1 binary64))))
(*.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 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)) x) (fma.f64 y y (-.f64 #s(literal 1 binary64) y)))
(/.f64 (*.f64 (fma.f64 y y #s(literal -1 binary64)) x) (-.f64 y #s(literal 1 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)) (*.f64 (pow.f64 (fma.f64 y (-.f64 (*.f64 #s(literal 1/36 binary64) y) #s(literal 1/12 binary64)) #s(literal 1/4 binary64)) #s(literal -1 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 y (-.f64 (*.f64 #s(literal 1/36 binary64) y) #s(literal 1/12 binary64)) #s(literal 1/4 binary64)) #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)))
(*.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64))) #s(literal -1 binary64))
(/.f64 (*.f64 (fma.f64 #s(literal 1/1296 binary64) (pow.f64 y #s(literal 4 binary64)) #s(literal -1/16 binary64)) (pow.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal -1/2 binary64)) #s(literal -1 binary64))) (fma.f64 #s(literal 1/36 binary64) (*.f64 y y) #s(literal 1/4 binary64)))
(/.f64 (*.f64 (fma.f64 #s(literal 1/46656 binary64) (pow.f64 y #s(literal 6 binary64)) #s(literal -1/64 binary64)) (pow.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal -1/2 binary64)) #s(literal -1 binary64))) (fma.f64 #s(literal 1/1296 binary64) (pow.f64 y #s(literal 4 binary64)) (fma.f64 (*.f64 y y) #s(literal 1/144 binary64) #s(literal 1/16 binary64))))
(/.f64 (*.f64 (fma.f64 #s(literal 1/46656 binary64) (pow.f64 y #s(literal 6 binary64)) #s(literal -1/64 binary64)) (pow.f64 (fma.f64 y (-.f64 (*.f64 #s(literal 1/36 binary64) y) #s(literal 1/12 binary64)) #s(literal 1/4 binary64)) #s(literal -1 binary64))) (fma.f64 #s(literal 1/216 binary64) (pow.f64 y #s(literal 3 binary64)) #s(literal -1/8 binary64)))
(/.f64 (*.f64 (+.f64 #s(literal 1/512 binary64) (pow.f64 (*.f64 #s(literal 1/6 binary64) y) #s(literal 9 binary64))) (pow.f64 (fma.f64 y (-.f64 (*.f64 #s(literal 1/36 binary64) y) #s(literal 1/12 binary64)) #s(literal 1/4 binary64)) #s(literal -1 binary64))) (fma.f64 #s(literal 1/46656 binary64) (pow.f64 y #s(literal 6 binary64)) (-.f64 #s(literal 1/64 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1/1728 binary64)))))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/36 binary64) y) (/.f64 y (fma.f64 #s(literal 1/6 binary64) y #s(literal -1/2 binary64)))) (*.f64 (*.f64 #s(literal 1/36 binary64) y) (/.f64 y (fma.f64 #s(literal 1/6 binary64) y #s(literal -1/2 binary64))))) (*.f64 (/.f64 #s(literal -1/4 binary64) (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64))) (/.f64 #s(literal -1/4 binary64) (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64))))) (fma.f64 (*.f64 #s(literal 1/36 binary64) y) (/.f64 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 (pow.f64 (*.f64 (*.f64 #s(literal 1/36 binary64) y) (/.f64 y (fma.f64 #s(literal 1/6 binary64) y #s(literal -1/2 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal -1/4 binary64) (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64))) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 #s(literal 1/36 binary64) y) (/.f64 y (fma.f64 #s(literal 1/6 binary64) y #s(literal -1/2 binary64)))) (*.f64 (*.f64 #s(literal 1/36 binary64) y) (/.f64 y (fma.f64 #s(literal 1/6 binary64) y #s(literal -1/2 binary64)))) (fma.f64 (/.f64 #s(literal -1/4 binary64) (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64))) (/.f64 #s(literal -1/4 binary64) (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64))) (*.f64 (*.f64 (*.f64 #s(literal 1/36 binary64) y) (/.f64 y (fma.f64 #s(literal 1/6 binary64) y #s(literal -1/2 binary64)))) (/.f64 #s(literal -1/4 binary64) (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64)))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/36 binary64) (*.f64 y y)))) (neg.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) y))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 y y) #s(literal -1/4 binary64)))) (neg.f64 (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 y (-.f64 (*.f64 #s(literal 1/36 binary64) y) #s(literal 1/12 binary64)) #s(literal 1/4 binary64)))))
(/.f64 (*.f64 (fma.f64 #s(literal 1/1296 binary64) (pow.f64 y #s(literal 4 binary64)) #s(literal -1/16 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 y y) #s(literal 1/4 binary64)) (fma.f64 #s(literal 1/6 binary64) y #s(literal -1/2 binary64))))
(/.f64 (*.f64 (fma.f64 #s(literal 1/46656 binary64) (pow.f64 y #s(literal 6 binary64)) #s(literal -1/64 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal 1/1296 binary64) (pow.f64 y #s(literal 4 binary64)) (fma.f64 (*.f64 y y) #s(literal 1/144 binary64) #s(literal 1/16 binary64))) (fma.f64 #s(literal 1/6 binary64) y #s(literal -1/2 binary64))))
(/.f64 (*.f64 (fma.f64 #s(literal 1/46656 binary64) (pow.f64 y #s(literal 6 binary64)) #s(literal -1/64 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)) (fma.f64 y (-.f64 (*.f64 #s(literal 1/36 binary64) y) #s(literal 1/12 binary64)) #s(literal 1/4 binary64))))
(/.f64 (*.f64 (+.f64 #s(literal 1/512 binary64) (pow.f64 (*.f64 #s(literal 1/6 binary64) y) #s(literal 9 binary64))) #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal 1/46656 binary64) (pow.f64 y #s(literal 6 binary64)) (-.f64 #s(literal 1/64 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1/1728 binary64)))) (fma.f64 y (-.f64 (*.f64 #s(literal 1/36 binary64) y) #s(literal 1/12 binary64)) #s(literal 1/4 binary64))))
(/.f64 (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/36 binary64) (*.f64 y y))) #s(literal 1 binary64)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) y)))
(/.f64 (*.f64 (neg.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 y y) #s(literal -1/4 binary64))) #s(literal 1 binary64)) (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64)))
(/.f64 (*.f64 (neg.f64 (fma.f64 #s(literal 1/216 binary64) (pow.f64 y #s(literal 3 binary64)) #s(literal 1/8 binary64))) #s(literal 1 binary64)) (neg.f64 (fma.f64 y (-.f64 (*.f64 #s(literal 1/36 binary64) y) #s(literal 1/12 binary64)) #s(literal 1/4 binary64))))
(/.f64 (*.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 y y) #s(literal -1/4 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal 1/6 binary64) y #s(literal -1/2 binary64)))
(/.f64 (*.f64 (fma.f64 #s(literal 1/216 binary64) (pow.f64 y #s(literal 3 binary64)) #s(literal 1/8 binary64)) #s(literal 1 binary64)) (fma.f64 y (-.f64 (*.f64 #s(literal 1/36 binary64) y) #s(literal 1/12 binary64)) #s(literal 1/4 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 (fma.f64 #s(literal 1/1296 binary64) (pow.f64 y #s(literal 4 binary64)) #s(literal -1/16 binary64)) (*.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/36 binary64) (*.f64 y y) #s(literal 1/4 binary64))))
(/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/36 binary64) (*.f64 y y))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) y)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)))))
(/.f64 (fma.f64 #s(literal 1/46656 binary64) (pow.f64 y #s(literal 6 binary64)) #s(literal -1/64 binary64)) (*.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/1296 binary64) (pow.f64 y #s(literal 4 binary64)) (fma.f64 (*.f64 y y) #s(literal 1/144 binary64) #s(literal 1/16 binary64)))))
(/.f64 (fma.f64 #s(literal 1/46656 binary64) (pow.f64 y #s(literal 6 binary64)) #s(literal -1/64 binary64)) (*.f64 (fma.f64 y (-.f64 (*.f64 #s(literal 1/36 binary64) y) #s(literal 1/12 binary64)) #s(literal 1/4 binary64)) (fma.f64 #s(literal 1/216 binary64) (pow.f64 y #s(literal 3 binary64)) #s(literal -1/8 binary64))))
(/.f64 (+.f64 #s(literal 1/512 binary64) (pow.f64 (*.f64 #s(literal 1/6 binary64) y) #s(literal 9 binary64))) (*.f64 (fma.f64 y (-.f64 (*.f64 #s(literal 1/36 binary64) y) #s(literal 1/12 binary64)) #s(literal 1/4 binary64)) (fma.f64 #s(literal 1/46656 binary64) (pow.f64 y #s(literal 6 binary64)) (-.f64 #s(literal 1/64 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1/1728 binary64))))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 y y) #s(literal -1/4 binary64))) (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64)))
(/.f64 (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 y (-.f64 (*.f64 #s(literal 1/36 binary64) y) #s(literal 1/12 binary64)) #s(literal 1/4 binary64))))
(/.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 y y) #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/6 binary64) y #s(literal -1/2 binary64)))
(/.f64 (fma.f64 #s(literal 1/216 binary64) (pow.f64 y #s(literal 3 binary64)) #s(literal 1/8 binary64)) (fma.f64 y (-.f64 (*.f64 #s(literal 1/36 binary64) y) #s(literal 1/12 binary64)) #s(literal 1/4 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) y)) (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/36 binary64) (*.f64 y y)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64))))
(neg.f64 (/.f64 (neg.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))))
(neg.f64 (/.f64 (neg.f64 (fma.f64 #s(literal 1/216 binary64) (pow.f64 y #s(literal 3 binary64)) #s(literal 1/8 binary64))) (fma.f64 y (-.f64 (*.f64 #s(literal 1/36 binary64) y) #s(literal 1/12 binary64)) #s(literal 1/4 binary64))))
(neg.f64 (/.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))))
(neg.f64 (/.f64 (fma.f64 #s(literal 1/216 binary64) (pow.f64 y #s(literal 3 binary64)) #s(literal 1/8 binary64)) (neg.f64 (fma.f64 y (-.f64 (*.f64 #s(literal 1/36 binary64) y) #s(literal 1/12 binary64)) #s(literal 1/4 binary64)))))
(fma.f64 (/.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 y y)) (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) (fma.f64 #s(literal 1/12 binary64) y #s(literal 1/4 binary64))) (neg.f64 (/.f64 #s(literal -1/4 binary64) (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64)))))
(fma.f64 (/.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 y y)) (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)) (neg.f64 (/.f64 #s(literal -1/4 binary64) (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64)))))
(fma.f64 (*.f64 #s(literal 1/36 binary64) y) (/.f64 y (fma.f64 #s(literal 1/6 binary64) y #s(literal -1/2 binary64))) (neg.f64 (/.f64 #s(literal -1/4 binary64) (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64)))))
(fma.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) y) y) (/.f64 #s(literal 1/6 binary64) (fma.f64 #s(literal 1/6 binary64) y #s(literal -1/2 binary64))) (neg.f64 (/.f64 #s(literal -1/4 binary64) (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64)))))
(fma.f64 #s(literal 1/36 binary64) (/.f64 (*.f64 y y) (fma.f64 #s(literal 1/6 binary64) y #s(literal -1/2 binary64))) (neg.f64 (/.f64 #s(literal -1/4 binary64) (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64)))))
(fma.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 y y)) (pow.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal -1/2 binary64)) #s(literal -1 binary64)) (neg.f64 (/.f64 #s(literal -1/4 binary64) (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64)))))
(fma.f64 (*.f64 #s(literal 1/6 binary64) y) (/.f64 (*.f64 #s(literal 1/6 binary64) y) (fma.f64 #s(literal 1/6 binary64) y #s(literal -1/2 binary64))) (neg.f64 (/.f64 #s(literal -1/4 binary64) (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64)))))
(fma.f64 (*.f64 y y) (/.f64 #s(literal 1/36 binary64) (fma.f64 #s(literal 1/6 binary64) y #s(literal -1/2 binary64))) (neg.f64 (/.f64 #s(literal -1/4 binary64) (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64)))))
(fma.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) y) y) (fma.f64 #s(literal 1/6 binary64) y #s(literal -1/2 binary64))) (neg.f64 (/.f64 #s(literal -1/4 binary64) (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))
(fma.f64 y (/.f64 (*.f64 #s(literal 1/36 binary64) y) (fma.f64 #s(literal 1/6 binary64) y #s(literal -1/2 binary64))) (neg.f64 (/.f64 #s(literal -1/4 binary64) (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64)))))
(fma.f64 y #s(literal 1/6 binary64) #s(literal 1/2 binary64))
(-.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) y))) (/.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 y y)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) y))))
(-.f64 (*.f64 (*.f64 #s(literal 1/36 binary64) y) (/.f64 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 (*.f64 #s(literal 1/36 binary64) y) (/.f64 y (fma.f64 #s(literal 1/6 binary64) y #s(literal -1/2 binary64)))) (neg.f64 (/.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))

eval42.0ms (1.2%)

Memory
35.1MiB live, 35.1MiB allocated
Compiler

Compiled 11 937 to 1 844 computations (84.6% saved)

prune31.0ms (0.9%)

Memory
23.7MiB live, 23.7MiB allocated
Pruning

27 alts after pruning (20 fresh and 7 done)

PrunedKeptTotal
New36920389
Fresh000
Picked033
Done044
Total36927396
Accuracy
100.0%
Counts
396 → 27
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(*.f64 x (exp.f64 (*.f64 y y)))
99.2%
(*.f64 x (exp.f64 y))
82.7%
(*.f64 x #s(approx (exp (* y y)) (fma.f64 y y #s(literal 1 binary64))))
35.4%
(*.f64 x #s(approx (exp (* y y)) #s(approx (+ (* y y) 1) (*.f64 y y))))
51.4%
(*.f64 x #s(approx (exp (* y y)) #s(literal 1 binary64)))
86.5%
(*.f64 x #s(approx (exp y) (fma.f64 (fma.f64 (fma.f64 (*.f64 y y) (/.f64 #s(literal 1/36 binary64) (fma.f64 #s(literal 1/6 binary64) y #s(literal -1/2 binary64))) (neg.f64 (/.f64 #s(literal -1/4 binary64) (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64))))) y #s(literal 1 binary64)) y #s(literal 1 binary64))))
86.5%
(*.f64 x #s(approx (exp y) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/36 binary64) y) (/.f64 y (fma.f64 #s(literal 1/6 binary64) y #s(literal -1/2 binary64))) (neg.f64 (/.f64 #s(literal -1/4 binary64) (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64))))) y #s(literal 1 binary64)) y #s(literal 1 binary64))))
86.5%
(*.f64 x #s(approx (exp y) (fma.f64 (fma.f64 (fma.f64 y (/.f64 (*.f64 #s(literal 1/36 binary64) y) (fma.f64 #s(literal 1/6 binary64) y #s(literal -1/2 binary64))) (neg.f64 (/.f64 #s(literal -1/4 binary64) (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64))))) y #s(literal 1 binary64)) y #s(literal 1 binary64))))
86.5%
(*.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))))
86.5%
(*.f64 x #s(approx (exp y) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 y y) #s(literal -1/4 binary64)) (/.f64 y (fma.f64 #s(literal 1/6 binary64) y #s(literal -1/2 binary64))) #s(literal 1 binary64)) y #s(literal 1 binary64))))
86.5%
(*.f64 x #s(approx (exp y) (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 y y) #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/6 binary64) y #s(literal -1/2 binary64))) y #s(literal 1 binary64)) y #s(literal 1 binary64))))
60.0%
(*.f64 x #s(approx (exp y) (fma.f64 (fma.f64 (/.f64 (*.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 y y) #s(literal -1/4 binary64)) y) (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)) #s(literal 1 binary64)) y #s(literal 1 binary64))))
86.5%
(*.f64 x #s(approx (exp y) (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) y)) (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/36 binary64) (*.f64 y y))))) y #s(literal 1 binary64)) y #s(literal 1 binary64))))
86.5%
(*.f64 x #s(approx (exp y) (fma.f64 (fma.f64 (*.f64 (neg.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 y y) #s(literal -1/4 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64)))) y #s(literal 1 binary64)) y #s(literal 1 binary64))))
86.5%
(*.f64 x #s(approx (exp y) (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) (fma.f64 #s(literal 1/2 binary64) y #s(literal 1 binary64))) y #s(literal 1 binary64))))
86.5%
(*.f64 x #s(approx (exp y) (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (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))))
86.9%
(*.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))))
86.9%
(*.f64 x #s(approx (exp y) (fma.f64 #s(approx (+ (* (+ (* 1/6 y) 1/2) y) 1) (*.f64 (*.f64 #s(literal 1/6 binary64) y) y)) y #s(literal 1 binary64))))
86.5%
(*.f64 x #s(approx (exp y) (/.f64 #s(literal 1 binary64) (/.f64 #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))))))
40.1%
(*.f64 x #s(approx (exp y) #s(approx (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) (*.f64 y y) y))))
39.6%
(*.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)))))
75.4%
#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 y x) y x))
83.6%
#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))
60.7%
#s(approx (* x (exp y)) (fma.f64 y x x))
37.4%
#s(approx (* x (exp y)) (/.f64 (*.f64 x (fma.f64 (*.f64 y x) y (neg.f64 x))) (-.f64 (*.f64 y x) x)))
60.7%
#s(approx (* x (exp y)) (+.f64 (*.f64 y x) x))
14.3%
#s(approx (* x (exp y)) #s(approx (+ (* y x) x) (*.f64 y x)))
Compiler

Compiled 947 to 671 computations (29.1% saved)

simplify106.0ms (3%)

Memory
26.1MiB live, 26.1MiB allocated
Algorithm
egg-herbie
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
cost-diff0
(fma.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 y y) #s(literal -1/4 binary64)) (/.f64 y (fma.f64 #s(literal 1/6 binary64) y #s(literal -1/2 binary64))) #s(literal 1 binary64))
cost-diff0
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 y y) #s(literal -1/4 binary64)) (/.f64 y (fma.f64 #s(literal 1/6 binary64) y #s(literal -1/2 binary64))) #s(literal 1 binary64)) y #s(literal 1 binary64))
cost-diff0
#s(approx (exp y) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 y y) #s(literal -1/4 binary64)) (/.f64 y (fma.f64 #s(literal 1/6 binary64) y #s(literal -1/2 binary64))) #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 1/36 binary64) (*.f64 y y) #s(literal -1/4 binary64)) (/.f64 y (fma.f64 #s(literal 1/6 binary64) y #s(literal -1/2 binary64))) #s(literal 1 binary64)) y #s(literal 1 binary64))))
cost-diff0
(*.f64 x (fma.f64 (*.f64 y x) y (neg.f64 x)))
cost-diff0
#s(approx (* x (exp y)) (/.f64 (*.f64 x (fma.f64 (*.f64 y x) y (neg.f64 x))) (-.f64 (*.f64 y x) x)))
cost-diff128
(fma.f64 (*.f64 y x) y (neg.f64 x))
cost-diff1856
(/.f64 (*.f64 x (fma.f64 (*.f64 y x) y (neg.f64 x))) (-.f64 (*.f64 y x) x))
cost-diff0
#s(approx (+ (* (+ (* 1/6 y) 1/2) y) 1) (*.f64 (*.f64 #s(literal 1/6 binary64) y) y))
cost-diff0
(fma.f64 #s(approx (+ (* (+ (* 1/6 y) 1/2) y) 1) (*.f64 (*.f64 #s(literal 1/6 binary64) y) y)) y #s(literal 1 binary64))
cost-diff0
#s(approx (exp y) (fma.f64 #s(approx (+ (* (+ (* 1/6 y) 1/2) y) 1) (*.f64 (*.f64 #s(literal 1/6 binary64) y) y)) y #s(literal 1 binary64)))
cost-diff0
(*.f64 x #s(approx (exp y) (fma.f64 #s(approx (+ (* (+ (* 1/6 y) 1/2) y) 1) (*.f64 (*.f64 #s(literal 1/6 binary64) y) y)) y #s(literal 1 binary64))))
cost-diff0
(*.f64 y x)
cost-diff0
#s(approx (+ (* y x) x) (*.f64 y x))
cost-diff0
#s(approx (* x (exp y)) #s(approx (+ (* y x) x) (*.f64 y x)))
cost-diff0
#s(approx (+ (* (+ (* 1/6 y) 1/2) y) 1) (*.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y))
cost-diff0
(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))
cost-diff0
#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)))
cost-diff0
(*.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))))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
045367
072367
1120367
2180367
3377359
4974359
52543347
66065347
08601333
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(*.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))))
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)))
(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 (+ (* (+ (* 1/6 y) 1/2) y) 1) (*.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y))
(*.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) 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)
#s(literal 1 binary64)
#s(approx (* x (exp y)) #s(approx (+ (* y x) x) (*.f64 y x)))
#s(approx (+ (* y x) x) (*.f64 y x))
(*.f64 y x)
y
x
(*.f64 x #s(approx (exp y) (fma.f64 #s(approx (+ (* (+ (* 1/6 y) 1/2) y) 1) (*.f64 (*.f64 #s(literal 1/6 binary64) y) y)) y #s(literal 1 binary64))))
x
#s(approx (exp y) (fma.f64 #s(approx (+ (* (+ (* 1/6 y) 1/2) y) 1) (*.f64 (*.f64 #s(literal 1/6 binary64) y) y)) y #s(literal 1 binary64)))
(fma.f64 #s(approx (+ (* (+ (* 1/6 y) 1/2) y) 1) (*.f64 (*.f64 #s(literal 1/6 binary64) y) y)) y #s(literal 1 binary64))
#s(approx (+ (* (+ (* 1/6 y) 1/2) y) 1) (*.f64 (*.f64 #s(literal 1/6 binary64) y) y))
(*.f64 (*.f64 #s(literal 1/6 binary64) y) y)
(*.f64 #s(literal 1/6 binary64) y)
#s(literal 1/6 binary64)
y
#s(literal 1 binary64)
#s(approx (* x (exp y)) (/.f64 (*.f64 x (fma.f64 (*.f64 y x) y (neg.f64 x))) (-.f64 (*.f64 y x) x)))
(/.f64 (*.f64 x (fma.f64 (*.f64 y x) y (neg.f64 x))) (-.f64 (*.f64 y x) x))
(*.f64 x (fma.f64 (*.f64 y x) y (neg.f64 x)))
x
(fma.f64 (*.f64 y x) y (neg.f64 x))
(*.f64 y x)
y
(neg.f64 x)
(-.f64 (*.f64 y x) x)
(*.f64 x #s(approx (exp y) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 y y) #s(literal -1/4 binary64)) (/.f64 y (fma.f64 #s(literal 1/6 binary64) y #s(literal -1/2 binary64))) #s(literal 1 binary64)) y #s(literal 1 binary64))))
x
#s(approx (exp y) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 y y) #s(literal -1/4 binary64)) (/.f64 y (fma.f64 #s(literal 1/6 binary64) y #s(literal -1/2 binary64))) #s(literal 1 binary64)) y #s(literal 1 binary64)))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 y y) #s(literal -1/4 binary64)) (/.f64 y (fma.f64 #s(literal 1/6 binary64) y #s(literal -1/2 binary64))) #s(literal 1 binary64)) y #s(literal 1 binary64))
(fma.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 y y) #s(literal -1/4 binary64)) (/.f64 y (fma.f64 #s(literal 1/6 binary64) y #s(literal -1/2 binary64))) #s(literal 1 binary64))
(fma.f64 #s(literal 1/36 binary64) (*.f64 y y) #s(literal -1/4 binary64))
#s(literal 1/36 binary64)
(*.f64 y y)
y
#s(literal -1/4 binary64)
(/.f64 y (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))
#s(literal 1/6 binary64)
#s(literal -1/2 binary64)
#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))))
(*.f64 #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))) x)
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)))
(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 (+ (* (+ (* 1/6 y) 1/2) y) 1) (*.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y))
(*.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) 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)
#s(literal 1 binary64)
#s(approx (* x (exp y)) #s(approx (+ (* y x) x) (*.f64 y x)))
#s(approx (+ (* y x) x) (*.f64 y x))
(*.f64 y x)
y
x
(*.f64 x #s(approx (exp y) (fma.f64 #s(approx (+ (* (+ (* 1/6 y) 1/2) y) 1) (*.f64 (*.f64 #s(literal 1/6 binary64) y) y)) y #s(literal 1 binary64))))
(*.f64 #s(approx (exp y) (fma.f64 #s(approx (+ (* (+ (* 1/6 y) 1/2) y) 1) (*.f64 (*.f64 #s(literal 1/6 binary64) y) y)) y #s(literal 1 binary64))) x)
x
#s(approx (exp y) (fma.f64 #s(approx (+ (* (+ (* 1/6 y) 1/2) y) 1) (*.f64 (*.f64 #s(literal 1/6 binary64) y) y)) y #s(literal 1 binary64)))
(fma.f64 #s(approx (+ (* (+ (* 1/6 y) 1/2) y) 1) (*.f64 (*.f64 #s(literal 1/6 binary64) y) y)) y #s(literal 1 binary64))
#s(approx (+ (* (+ (* 1/6 y) 1/2) y) 1) (*.f64 (*.f64 #s(literal 1/6 binary64) y) y))
(*.f64 (*.f64 #s(literal 1/6 binary64) y) y)
(*.f64 #s(literal 1/6 binary64) y)
#s(literal 1/6 binary64)
y
#s(literal 1 binary64)
#s(approx (* x (exp y)) (/.f64 (*.f64 x (fma.f64 (*.f64 y x) y (neg.f64 x))) (-.f64 (*.f64 y x) x)))
#s(approx (* x (exp y)) (fma.f64 y x x))
(/.f64 (*.f64 x (fma.f64 (*.f64 y x) y (neg.f64 x))) (-.f64 (*.f64 y x) x))
(fma.f64 y x x)
(*.f64 x (fma.f64 (*.f64 y x) y (neg.f64 x)))
(*.f64 (fma.f64 y y #s(literal -1 binary64)) (*.f64 x x))
x
(fma.f64 (*.f64 y x) y (neg.f64 x))
(*.f64 (fma.f64 y y #s(literal -1 binary64)) x)
(*.f64 y x)
y
(neg.f64 x)
(-.f64 (*.f64 y x) x)
(fma.f64 y x (neg.f64 x))
(*.f64 x #s(approx (exp y) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 y y) #s(literal -1/4 binary64)) (/.f64 y (fma.f64 #s(literal 1/6 binary64) y #s(literal -1/2 binary64))) #s(literal 1 binary64)) y #s(literal 1 binary64))))
(*.f64 #s(approx (exp y) (fma.f64 (fma.f64 (/.f64 y (fma.f64 #s(literal 1/6 binary64) y #s(literal -1/2 binary64))) (fma.f64 (*.f64 y y) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) #s(literal 1 binary64)) y #s(literal 1 binary64))) x)
x
#s(approx (exp y) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 y y) #s(literal -1/4 binary64)) (/.f64 y (fma.f64 #s(literal 1/6 binary64) y #s(literal -1/2 binary64))) #s(literal 1 binary64)) y #s(literal 1 binary64)))
#s(approx (exp y) (fma.f64 (fma.f64 (/.f64 y (fma.f64 #s(literal 1/6 binary64) y #s(literal -1/2 binary64))) (fma.f64 (*.f64 y y) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) #s(literal 1 binary64)) y #s(literal 1 binary64)))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 y y) #s(literal -1/4 binary64)) (/.f64 y (fma.f64 #s(literal 1/6 binary64) y #s(literal -1/2 binary64))) #s(literal 1 binary64)) y #s(literal 1 binary64))
(fma.f64 (fma.f64 (/.f64 y (fma.f64 #s(literal 1/6 binary64) y #s(literal -1/2 binary64))) (fma.f64 (*.f64 y y) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) #s(literal 1 binary64)) y #s(literal 1 binary64))
(fma.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 y y) #s(literal -1/4 binary64)) (/.f64 y (fma.f64 #s(literal 1/6 binary64) y #s(literal -1/2 binary64))) #s(literal 1 binary64))
(fma.f64 (/.f64 y (fma.f64 #s(literal 1/6 binary64) y #s(literal -1/2 binary64))) (fma.f64 (*.f64 y y) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) #s(literal 1 binary64))
(fma.f64 #s(literal 1/36 binary64) (*.f64 y y) #s(literal -1/4 binary64))
(fma.f64 (*.f64 y y) #s(literal 1/36 binary64) #s(literal -1/4 binary64))
#s(literal 1/36 binary64)
(*.f64 y y)
y
#s(literal -1/4 binary64)
(/.f64 y (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))
#s(literal 1/6 binary64)
#s(literal -1/2 binary64)
#s(literal 1 binary64)

localize99.0ms (2.8%)

Memory
36.9MiB live, 36.9MiB allocated
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
accuracy0.05078125
(fma.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 y y) #s(literal -1/4 binary64)) (/.f64 y (fma.f64 #s(literal 1/6 binary64) y #s(literal -1/2 binary64))) #s(literal 1 binary64))
accuracy0.140625
(fma.f64 #s(literal 1/6 binary64) y #s(literal -1/2 binary64))
accuracy0.2785018990039222
(fma.f64 #s(literal 1/36 binary64) (*.f64 y y) #s(literal -1/4 binary64))
accuracy9.451950348107927
#s(approx (exp y) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 y y) #s(literal -1/4 binary64)) (/.f64 y (fma.f64 #s(literal 1/6 binary64) y #s(literal -1/2 binary64))) #s(literal 1 binary64)) y #s(literal 1 binary64)))
accuracy0.078125
(fma.f64 (*.f64 y x) y (neg.f64 x))
accuracy2.6241205535641545
(*.f64 x (fma.f64 (*.f64 y x) y (neg.f64 x)))
accuracy24.87240549763538
#s(approx (* x (exp y)) (/.f64 (*.f64 x (fma.f64 (*.f64 y x) y (neg.f64 x))) (-.f64 (*.f64 y x) x)))
accuracy33.02306978427998
(/.f64 (*.f64 x (fma.f64 (*.f64 y x) y (neg.f64 x))) (-.f64 (*.f64 y x) x))
accuracy0.109375
(*.f64 (*.f64 #s(literal 1/6 binary64) y) y)
accuracy0.2890625
(*.f64 #s(literal 1/6 binary64) y)
accuracy9.451950348107927
#s(approx (exp y) (fma.f64 #s(approx (+ (* (+ (* 1/6 y) 1/2) y) 1) (*.f64 (*.f64 #s(literal 1/6 binary64) y) y)) y #s(literal 1 binary64)))
accuracy30.969882787807407
#s(approx (+ (* (+ (* 1/6 y) 1/2) y) 1) (*.f64 (*.f64 #s(literal 1/6 binary64) y) y))
accuracy0
(*.f64 y x)
accuracy24.87240549763538
#s(approx (* x (exp y)) #s(approx (+ (* y x) x) (*.f64 y x)))
accuracy30.466054312902155
#s(approx (+ (* y x) x) (*.f64 y x))
accuracy0.0703125
(*.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y)
accuracy0.13671875
(fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64))
accuracy9.451950348107927
#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)))
accuracy30.493230512912596
#s(approx (+ (* (+ (* 1/6 y) 1/2) y) 1) (*.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y))
Samples
69.0ms256×0valid
Compiler

Compiled 599 to 84 computations (86% saved)

Precisions
Click to see histograms. Total time spent on operations: 47.0ms
ival-mult: 19.0ms (40.3% of total)
ival-add: 11.0ms (23.3% of total)
const: 7.0ms (14.9% of total)
ival-div: 4.0ms (8.5% of total)
ival-exp: 2.0ms (4.2% of total)
ival-sub: 1.0ms (2.1% of total)
exact: 1.0ms (2.1% of total)
ival-neg: 1.0ms (2.1% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series21.0ms (0.6%)

Memory
8.8MiB live, 8.8MiB allocated
Counts
25 → 54
Calls
Call 1
Inputs
(*.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 (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)))
(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 (+ (* (+ (* 1/6 y) 1/2) y) 1) (*.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y))
#s(approx (* x (exp y)) #s(approx (+ (* y x) x) (*.f64 y x)))
#s(approx (+ (* y x) x) (*.f64 y x))
(*.f64 y x)
(*.f64 x #s(approx (exp y) (fma.f64 #s(approx (+ (* (+ (* 1/6 y) 1/2) y) 1) (*.f64 (*.f64 #s(literal 1/6 binary64) y) y)) y #s(literal 1 binary64))))
#s(approx (exp y) (fma.f64 #s(approx (+ (* (+ (* 1/6 y) 1/2) y) 1) (*.f64 (*.f64 #s(literal 1/6 binary64) y) y)) y #s(literal 1 binary64)))
(fma.f64 #s(approx (+ (* (+ (* 1/6 y) 1/2) y) 1) (*.f64 (*.f64 #s(literal 1/6 binary64) y) y)) y #s(literal 1 binary64))
#s(approx (+ (* (+ (* 1/6 y) 1/2) y) 1) (*.f64 (*.f64 #s(literal 1/6 binary64) y) y))
(/.f64 (*.f64 x (fma.f64 (*.f64 y x) y (neg.f64 x))) (-.f64 (*.f64 y x) x))
(fma.f64 (*.f64 y x) y (neg.f64 x))
#s(approx (* x (exp y)) (/.f64 (*.f64 x (fma.f64 (*.f64 y x) y (neg.f64 x))) (-.f64 (*.f64 y x) x)))
(*.f64 x (fma.f64 (*.f64 y x) y (neg.f64 x)))
(*.f64 x #s(approx (exp y) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 y y) #s(literal -1/4 binary64)) (/.f64 y (fma.f64 #s(literal 1/6 binary64) y #s(literal -1/2 binary64))) #s(literal 1 binary64)) y #s(literal 1 binary64))))
#s(approx (exp y) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 y y) #s(literal -1/4 binary64)) (/.f64 y (fma.f64 #s(literal 1/6 binary64) y #s(literal -1/2 binary64))) #s(literal 1 binary64)) y #s(literal 1 binary64)))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 y y) #s(literal -1/4 binary64)) (/.f64 y (fma.f64 #s(literal 1/6 binary64) y #s(literal -1/2 binary64))) #s(literal 1 binary64)) y #s(literal 1 binary64))
(fma.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 y y) #s(literal -1/4 binary64)) (/.f64 y (fma.f64 #s(literal 1/6 binary64) y #s(literal -1/2 binary64))) #s(literal 1 binary64))
(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)) y)
(*.f64 #s(literal 1/6 binary64) y)
(*.f64 (*.f64 #s(literal 1/6 binary64) y) y)
(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))
Outputs
(* x (exp y))
(* x (+ 1 y))
(* x y)
(/ (* x (- (pow y 2) 1)) (- y 1))
(* x (- (pow y 2) 1))
(* (pow x 2) (- (pow y 2) 1))
(* -1 (* x (- (* -1 y) 1)))
(/ (* x (+ 1 (* -1 (pow y 2)))) (+ 1 (* -1 y)))
(* -1 (* x (+ 1 (* -1 (pow y 2)))))
(* -1 (* (pow x 2) (+ 1 (* -1 (pow y 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 (* 1/2 y))
(+ 1 (* y (+ 1/2 (* 1/6 y))))
(* -1 x)
(- (* x (pow y 2)) x)
(* -1 (pow x 2))
(+ (* -1 (pow x 2)) (* (pow x 2) (pow y 2)))
1/2
(+ 1/2 (* 1/6 y))
(* 1/2 y)
(* y (+ 1/2 (* 1/6 y)))
(* 1/6 y)
(* 1/6 (pow y 2))
-1/4
(- (* 1/36 (pow y 2)) 1/4)
-1/2
(- (* 1/6 y) 1/2)
(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))))))
(* (pow y 2) (+ 1/6 (* 1/2 (/ 1 y))))
(* (pow y 2) (+ 1/6 (+ (* 1/2 (/ 1 y)) (/ 1 (pow y 2)))))
(* y (+ x (/ x y)))
(* x (pow y 2))
(* (pow y 2) (+ x (* -1 (/ x (pow y 2)))))
(* (pow x 2) (pow y 2))
(* (pow y 2) (+ (* -1 (/ (pow x 2) (pow y 2))) (pow x 2)))
(* y (+ 1/6 (* 1/2 (/ 1 y))))
(* 1/36 (pow y 2))
(* (pow y 2) (- 1/36 (* 1/4 (/ 1 (pow y 2)))))
(* y (- 1/6 (* 1/2 (/ 1 y))))
(* -1 (* (pow y 3) (- (* -1 (/ (+ 1/2 (/ 1 y)) y)) 1/6)))
(* -1 (* (pow y 3) (- (* -1 (/ (+ 1/2 (+ (/ 1 y) (/ 1 (pow y 2)))) y)) 1/6)))
(* -1 (* y (+ (* -1 x) (* -1 (/ x y)))))
(* -1 (* y (- (* 1/2 (/ 1 y)) 1/6)))
Calls

6 calls:

TimeVariablePointExpression
6.0ms
y
@inf
((* 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 x) x) (* y x) (* x (exp y)) (exp y) (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (+ (* (+ (* 1/6 y) 1/2) y) 1) (/ (* x (+ (* (* y x) y) (neg x))) (- (* y x) x)) (+ (* (* y x) y) (neg x)) (* x (exp y)) (* x (+ (* (* y x) y) (neg x))) (* x (exp y)) (exp y) (+ (* (+ (* (+ (* 1/36 (* y y)) -1/4) (/ y (+ (* 1/6 y) -1/2))) 1) y) 1) (+ (* (+ (* 1/36 (* y y)) -1/4) (/ y (+ (* 1/6 y) -1/2))) 1) (+ (* 1/6 y) 1/2) (* (+ (* 1/6 y) 1/2) y) (* 1/6 y) (* (* 1/6 y) y) (+ (* 1/36 (* y y)) -1/4) (+ (* 1/6 y) -1/2))
4.0ms
x
@-inf
((* 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 x) x) (* y x) (* x (exp y)) (exp y) (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (+ (* (+ (* 1/6 y) 1/2) y) 1) (/ (* x (+ (* (* y x) y) (neg x))) (- (* y x) x)) (+ (* (* y x) y) (neg x)) (* x (exp y)) (* x (+ (* (* y x) y) (neg x))) (* x (exp y)) (exp y) (+ (* (+ (* (+ (* 1/36 (* y y)) -1/4) (/ y (+ (* 1/6 y) -1/2))) 1) y) 1) (+ (* (+ (* 1/36 (* y y)) -1/4) (/ y (+ (* 1/6 y) -1/2))) 1) (+ (* 1/6 y) 1/2) (* (+ (* 1/6 y) 1/2) y) (* 1/6 y) (* (* 1/6 y) y) (+ (* 1/36 (* y y)) -1/4) (+ (* 1/6 y) -1/2))
3.0ms
y
@-inf
((* 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 x) x) (* y x) (* x (exp y)) (exp y) (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (+ (* (+ (* 1/6 y) 1/2) y) 1) (/ (* x (+ (* (* y x) y) (neg x))) (- (* y x) x)) (+ (* (* y x) y) (neg x)) (* x (exp y)) (* x (+ (* (* y x) y) (neg x))) (* x (exp y)) (exp y) (+ (* (+ (* (+ (* 1/36 (* y y)) -1/4) (/ y (+ (* 1/6 y) -1/2))) 1) y) 1) (+ (* (+ (* 1/36 (* y y)) -1/4) (/ y (+ (* 1/6 y) -1/2))) 1) (+ (* 1/6 y) 1/2) (* (+ (* 1/6 y) 1/2) y) (* 1/6 y) (* (* 1/6 y) y) (+ (* 1/36 (* y y)) -1/4) (+ (* 1/6 y) -1/2))
2.0ms
x
@0
((* 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 x) x) (* y x) (* x (exp y)) (exp y) (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (+ (* (+ (* 1/6 y) 1/2) y) 1) (/ (* x (+ (* (* y x) y) (neg x))) (- (* y x) x)) (+ (* (* y x) y) (neg x)) (* x (exp y)) (* x (+ (* (* y x) y) (neg x))) (* x (exp y)) (exp y) (+ (* (+ (* (+ (* 1/36 (* y y)) -1/4) (/ y (+ (* 1/6 y) -1/2))) 1) y) 1) (+ (* (+ (* 1/36 (* y y)) -1/4) (/ y (+ (* 1/6 y) -1/2))) 1) (+ (* 1/6 y) 1/2) (* (+ (* 1/6 y) 1/2) y) (* 1/6 y) (* (* 1/6 y) y) (+ (* 1/36 (* y y)) -1/4) (+ (* 1/6 y) -1/2))
2.0ms
x
@inf
((* 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 x) x) (* y x) (* x (exp y)) (exp y) (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (+ (* (+ (* 1/6 y) 1/2) y) 1) (/ (* x (+ (* (* y x) y) (neg x))) (- (* y x) x)) (+ (* (* y x) y) (neg x)) (* x (exp y)) (* x (+ (* (* y x) y) (neg x))) (* x (exp y)) (exp y) (+ (* (+ (* (+ (* 1/36 (* y y)) -1/4) (/ y (+ (* 1/6 y) -1/2))) 1) y) 1) (+ (* (+ (* 1/36 (* y y)) -1/4) (/ y (+ (* 1/6 y) -1/2))) 1) (+ (* 1/6 y) 1/2) (* (+ (* 1/6 y) 1/2) y) (* 1/6 y) (* (* 1/6 y) y) (+ (* 1/36 (* y y)) -1/4) (+ (* 1/6 y) -1/2))

simplify141.0ms (4%)

Memory
37.9MiB live, 37.9MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0122362
1380360
21050352
33078350
47104350
08046304
Stop Event
iter limit
node limit
Counts
54 → 53
Calls
Call 1
Inputs
(* x (exp y))
(* x (+ 1 y))
(* x y)
(/ (* x (- (pow y 2) 1)) (- y 1))
(* x (- (pow y 2) 1))
(* (pow x 2) (- (pow y 2) 1))
(* -1 (* x (- (* -1 y) 1)))
(/ (* x (+ 1 (* -1 (pow y 2)))) (+ 1 (* -1 y)))
(* -1 (* x (+ 1 (* -1 (pow y 2)))))
(* -1 (* (pow x 2) (+ 1 (* -1 (pow y 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 (* 1/2 y))
(+ 1 (* y (+ 1/2 (* 1/6 y))))
(* -1 x)
(- (* x (pow y 2)) x)
(* -1 (pow x 2))
(+ (* -1 (pow x 2)) (* (pow x 2) (pow y 2)))
1/2
(+ 1/2 (* 1/6 y))
(* 1/2 y)
(* y (+ 1/2 (* 1/6 y)))
(* 1/6 y)
(* 1/6 (pow y 2))
-1/4
(- (* 1/36 (pow y 2)) 1/4)
-1/2
(- (* 1/6 y) 1/2)
(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))))))
(* (pow y 2) (+ 1/6 (* 1/2 (/ 1 y))))
(* (pow y 2) (+ 1/6 (+ (* 1/2 (/ 1 y)) (/ 1 (pow y 2)))))
(* y (+ x (/ x y)))
(* x (pow y 2))
(* (pow y 2) (+ x (* -1 (/ x (pow y 2)))))
(* (pow x 2) (pow y 2))
(* (pow y 2) (+ (* -1 (/ (pow x 2) (pow y 2))) (pow x 2)))
(* y (+ 1/6 (* 1/2 (/ 1 y))))
(* 1/36 (pow y 2))
(* (pow y 2) (- 1/36 (* 1/4 (/ 1 (pow y 2)))))
(* y (- 1/6 (* 1/2 (/ 1 y))))
(* -1 (* (pow y 3) (- (* -1 (/ (+ 1/2 (/ 1 y)) y)) 1/6)))
(* -1 (* (pow y 3) (- (* -1 (/ (+ 1/2 (+ (/ 1 y) (/ 1 (pow y 2)))) y)) 1/6)))
(* -1 (* y (+ (* -1 x) (* -1 (/ x y)))))
(* -1 (* y (- (* 1/2 (/ 1 y)) 1/6)))
Outputs
(* x (exp y))
(*.f64 (exp.f64 y) x)
(* x (+ 1 y))
(fma.f64 y x x)
(* x y)
(*.f64 y x)
(/ (* x (- (pow y 2) 1)) (- y 1))
(fma.f64 y x x)
(* x (- (pow y 2) 1))
(*.f64 (fma.f64 y y #s(literal -1 binary64)) x)
(* (pow x 2) (- (pow y 2) 1))
(*.f64 (fma.f64 y y #s(literal -1 binary64)) (*.f64 x x))
(* -1 (* x (- (* -1 y) 1)))
(fma.f64 y x x)
(/ (* x (+ 1 (* -1 (pow y 2)))) (+ 1 (* -1 y)))
(*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) y)) (fma.f64 (neg.f64 y) y #s(literal 1 binary64)))
(* -1 (* x (+ 1 (* -1 (pow y 2)))))
(*.f64 (fma.f64 y y #s(literal -1 binary64)) x)
(* -1 (* (pow x 2) (+ 1 (* -1 (pow y 2)))))
(*.f64 (fma.f64 y y #s(literal -1 binary64)) (*.f64 x 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)
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 x)
(neg.f64 x)
(- (* x (pow y 2)) x)
(*.f64 (fma.f64 y y #s(literal -1 binary64)) x)
(* -1 (pow x 2))
(*.f64 (neg.f64 x) x)
(+ (* -1 (pow x 2)) (* (pow x 2) (pow y 2)))
(*.f64 (fma.f64 y y #s(literal -1 binary64)) (*.f64 x x))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* 1/6 y))
(fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64))
(* 1/2 y)
(*.f64 #s(literal 1/2 binary64) y)
(* y (+ 1/2 (* 1/6 y)))
(*.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y)
(* 1/6 y)
(*.f64 #s(literal 1/6 binary64) y)
(* 1/6 (pow y 2))
(*.f64 (*.f64 y y) #s(literal 1/6 binary64))
-1/4
#s(literal -1/4 binary64)
(- (* 1/36 (pow y 2)) 1/4)
(fma.f64 #s(literal 1/36 binary64) (*.f64 y y) #s(literal -1/4 binary64))
-1/2
#s(literal -1/2 binary64)
(- (* 1/6 y) 1/2)
(fma.f64 #s(literal 1/6 binary64) y #s(literal -1/2 binary64))
(exp y)
(exp.f64 y)
(* 1/6 (pow y 3))
(*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1/6 binary64))
(* (pow y 3) (+ 1/6 (* 1/2 (/ 1 y))))
(*.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) (*.f64 y y))
(* (pow y 3) (+ 1/6 (+ (* 1/2 (/ 1 y)) (/ 1 (pow y 2)))))
(fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) (*.f64 y y) y)
(* (pow y 3) (+ 1/6 (+ (* 1/2 (/ 1 y)) (+ (/ 1 (pow y 2)) (/ 1 (pow y 3))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y #s(literal 1 binary64))
(* (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))
(* y (+ x (/ x y)))
(fma.f64 y x x)
(* x (pow y 2))
(*.f64 (*.f64 y y) x)
(* (pow y 2) (+ x (* -1 (/ x (pow y 2)))))
(*.f64 (fma.f64 y y #s(literal -1 binary64)) x)
(* (pow x 2) (pow y 2))
(*.f64 (*.f64 (*.f64 y y) x) x)
(* (pow y 2) (+ (* -1 (/ (pow x 2) (pow y 2))) (pow x 2)))
(*.f64 (fma.f64 y y #s(literal -1 binary64)) (*.f64 x x))
(* y (+ 1/6 (* 1/2 (/ 1 y))))
(fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64))
(* 1/36 (pow y 2))
(*.f64 #s(literal 1/36 binary64) (*.f64 y y))
(* (pow y 2) (- 1/36 (* 1/4 (/ 1 (pow y 2)))))
(fma.f64 #s(literal 1/36 binary64) (*.f64 y y) #s(literal -1/4 binary64))
(* y (- 1/6 (* 1/2 (/ 1 y))))
(fma.f64 #s(literal 1/6 binary64) y #s(literal -1/2 binary64))
(* -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)))
(fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1/6 binary64) (/.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1/2 binary64)) (pow.f64 y #s(literal 3 binary64)) y) y))
(* -1 (* y (+ (* -1 x) (* -1 (/ x y)))))
(fma.f64 y x x)
(* -1 (* y (- (* 1/2 (/ 1 y)) 1/6)))
(fma.f64 #s(literal 1/6 binary64) y #s(literal -1/2 binary64))

rewrite161.0ms (4.5%)

Memory
58.6MiB live, 58.6MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
045328
072328
1255284
21888284
08416268
Stop Event
iter limit
node limit
iter limit
Counts
25 → 530
Calls
Call 1
Inputs
(*.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 (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)))
(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 (+ (* (+ (* 1/6 y) 1/2) y) 1) (*.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y))
#s(approx (* x (exp y)) #s(approx (+ (* y x) x) (*.f64 y x)))
#s(approx (+ (* y x) x) (*.f64 y x))
(*.f64 y x)
(*.f64 x #s(approx (exp y) (fma.f64 #s(approx (+ (* (+ (* 1/6 y) 1/2) y) 1) (*.f64 (*.f64 #s(literal 1/6 binary64) y) y)) y #s(literal 1 binary64))))
#s(approx (exp y) (fma.f64 #s(approx (+ (* (+ (* 1/6 y) 1/2) y) 1) (*.f64 (*.f64 #s(literal 1/6 binary64) y) y)) y #s(literal 1 binary64)))
(fma.f64 #s(approx (+ (* (+ (* 1/6 y) 1/2) y) 1) (*.f64 (*.f64 #s(literal 1/6 binary64) y) y)) y #s(literal 1 binary64))
#s(approx (+ (* (+ (* 1/6 y) 1/2) y) 1) (*.f64 (*.f64 #s(literal 1/6 binary64) y) y))
(/.f64 (*.f64 x (fma.f64 (*.f64 y x) y (neg.f64 x))) (-.f64 (*.f64 y x) x))
(fma.f64 (*.f64 y x) y (neg.f64 x))
#s(approx (* x (exp y)) (/.f64 (*.f64 x (fma.f64 (*.f64 y x) y (neg.f64 x))) (-.f64 (*.f64 y x) x)))
(*.f64 x (fma.f64 (*.f64 y x) y (neg.f64 x)))
(*.f64 x #s(approx (exp y) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 y y) #s(literal -1/4 binary64)) (/.f64 y (fma.f64 #s(literal 1/6 binary64) y #s(literal -1/2 binary64))) #s(literal 1 binary64)) y #s(literal 1 binary64))))
#s(approx (exp y) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 y y) #s(literal -1/4 binary64)) (/.f64 y (fma.f64 #s(literal 1/6 binary64) y #s(literal -1/2 binary64))) #s(literal 1 binary64)) y #s(literal 1 binary64)))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 y y) #s(literal -1/4 binary64)) (/.f64 y (fma.f64 #s(literal 1/6 binary64) y #s(literal -1/2 binary64))) #s(literal 1 binary64)) y #s(literal 1 binary64))
(fma.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 y y) #s(literal -1/4 binary64)) (/.f64 y (fma.f64 #s(literal 1/6 binary64) y #s(literal -1/2 binary64))) #s(literal 1 binary64))
(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)) y)
(*.f64 #s(literal 1/6 binary64) y)
(*.f64 (*.f64 #s(literal 1/6 binary64) y) y)
(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))
Outputs
(*.f64 #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))) 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))))
#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 (-.f64 (pow.f64 (*.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 2 binary64)) #s(literal 1 binary64)) (pow.f64 (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(literal -1 binary64)))
(*.f64 (+.f64 (pow.f64 (*.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 3 binary64)) #s(literal 1 binary64)) (pow.f64 (+.f64 (-.f64 #s(literal 1 binary64) (*.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)) (pow.f64 (*.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 2 binary64))) #s(literal -1 binary64)))
(pow.f64 (/.f64 (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 (pow.f64 (*.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 2 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 (-.f64 #s(literal 1 binary64) (*.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)) (pow.f64 (*.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 2 binary64))) (+.f64 (pow.f64 (*.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 3 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (*.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 2 binary64)) (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(literal 3 binary64)) (pow.f64 (pow.f64 (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(literal -1 binary64)) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (*.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 2 binary64)) (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 (pow.f64 (*.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 2 binary64)) (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))) (fma.f64 (pow.f64 (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(literal -1 binary64)) (pow.f64 (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(literal -1 binary64)) (*.f64 (/.f64 (pow.f64 (*.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 2 binary64)) (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))) (pow.f64 (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(literal -1 binary64))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.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 2 binary64)))) (neg.f64 (-.f64 #s(literal 1 binary64) (*.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))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (*.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 2 binary64)) #s(literal 1 binary64)))) (neg.f64 (neg.f64 (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 (neg.f64 (neg.f64 (+.f64 (pow.f64 (*.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 3 binary64)) #s(literal 1 binary64)))) (neg.f64 (neg.f64 (+.f64 (-.f64 #s(literal 1 binary64) (*.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)) (pow.f64 (*.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 2 binary64))))))
(/.f64 (-.f64 (*.f64 (pow.f64 (*.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 2 binary64)) (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 (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(literal 1 binary64))) (*.f64 (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)) (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 (-.f64 #s(literal 1 binary64) (pow.f64 (*.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 2 binary64))) (-.f64 #s(literal 1 binary64) (*.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)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.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 2 binary64)) #s(literal 1 binary64))) (neg.f64 (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 (neg.f64 (+.f64 (pow.f64 (*.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 3 binary64)) #s(literal 1 binary64))) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.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 2 binary64)) (*.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)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.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 3 binary64)) #s(literal 1 binary64))) (neg.f64 (+.f64 (-.f64 #s(literal 1 binary64) (*.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)) (pow.f64 (*.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 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (*.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 2 binary64)) #s(literal 1 binary64)) (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 #s(literal -1 binary64) (neg.f64 (/.f64 (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 (pow.f64 (*.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 2 binary64)) #s(literal 1 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 (-.f64 #s(literal 1 binary64) (*.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)) (pow.f64 (*.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 2 binary64))) (+.f64 (pow.f64 (*.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 3 binary64)) #s(literal 1 binary64)))))
(/.f64 (+.f64 (pow.f64 (*.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 3 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.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 2 binary64)) (*.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))))
(/.f64 (+.f64 (pow.f64 (*.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 3 binary64)) #s(literal 1 binary64)) (+.f64 (-.f64 #s(literal 1 binary64) (*.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)) (pow.f64 (*.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 2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (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 (pow.f64 (*.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 2 binary64)) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (-.f64 #s(literal 1 binary64) (*.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)) (pow.f64 (*.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 2 binary64))) (+.f64 (pow.f64 (*.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 3 binary64)) #s(literal 1 binary64))))
(fma.f64 (*.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(literal 1 binary64))
(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)) (*.f64 y #s(literal 1 binary64)) #s(literal 1 binary64))
(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))
(fma.f64 #s(literal 1 binary64) (*.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))
(fma.f64 y (*.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)) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 y #s(approx (+ (* (+ (* 1/6 y) 1/2) y) 1) (*.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y)) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.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))) (/.f64 (pow.f64 (*.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 2 binary64)) (-.f64 #s(literal 1 binary64) (*.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))))
(-.f64 (/.f64 (pow.f64 (*.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 2 binary64)) (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))) (pow.f64 (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(literal -1 binary64)))
(+.f64 (*.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 #s(literal 1 binary64) (*.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(approx (+ (* (+ (* 1/6 y) 1/2) y) 1) (*.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y))
#s(approx (* x (exp y)) #s(approx (+ (* y x) x) (*.f64 y x)))
#s(approx (+ (* y x) x) (*.f64 y x))
(*.f64 y x)
(*.f64 x y)
(*.f64 #s(approx (exp y) (fma.f64 #s(approx (+ (* (+ (* 1/6 y) 1/2) y) 1) (*.f64 (*.f64 #s(literal 1/6 binary64) y) y)) y #s(literal 1 binary64))) x)
(*.f64 x #s(approx (exp y) (fma.f64 #s(approx (+ (* (+ (* 1/6 y) 1/2) y) 1) (*.f64 (*.f64 #s(literal 1/6 binary64) y) y)) y #s(literal 1 binary64))))
#s(approx (exp y) (fma.f64 #s(approx (+ (* (+ (* 1/6 y) 1/2) y) 1) (*.f64 (*.f64 #s(literal 1/6 binary64) y) y)) y #s(literal 1 binary64)))
(*.f64 (-.f64 (pow.f64 (*.f64 #s(approx (+ (* (+ (* 1/6 y) 1/2) y) 1) (*.f64 (*.f64 #s(literal 1/6 binary64) y) y)) y) #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 #s(approx (+ (* (+ (* 1/6 y) 1/2) y) 1) (*.f64 (*.f64 #s(literal 1/6 binary64) y) y)) y #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (+.f64 (pow.f64 (*.f64 #s(approx (+ (* (+ (* 1/6 y) 1/2) y) 1) (*.f64 (*.f64 #s(literal 1/6 binary64) y) y)) y) #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 (+.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(approx (+ (* (+ (* 1/6 y) 1/2) y) 1) (*.f64 (*.f64 #s(literal 1/6 binary64) y) y)) y)) (pow.f64 (*.f64 #s(approx (+ (* (+ (* 1/6 y) 1/2) y) 1) (*.f64 (*.f64 #s(literal 1/6 binary64) y) y)) y) #s(literal 2 binary64))) #s(literal -1 binary64)))
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(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) (fma.f64 (*.f64 y y) #s(literal 1/36 binary64) #s(literal -1/4 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 y y) #s(literal 1/36 binary64) (-.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))))
(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 (*.f64 y y) #s(literal 1/36 binary64)) (-.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/6 binary64) y))))
(-.f64 (/.f64 (pow.f64 (*.f64 #s(literal 1/6 binary64) y) #s(literal 3 binary64)) (fma.f64 (*.f64 #s(literal 1/36 binary64) y) y (+.f64 #s(literal 1/4 binary64) (*.f64 y #s(literal 1/12 binary64))))) (/.f64 #s(literal 1/8 binary64) (fma.f64 (*.f64 #s(literal 1/36 binary64) y) y (+.f64 #s(literal 1/4 binary64) (*.f64 y #s(literal 1/12 binary64))))))
(-.f64 (/.f64 (/.f64 (pow.f64 (*.f64 #s(literal 1/6 binary64) y) #s(literal 4 binary64)) (fma.f64 (*.f64 y y) #s(literal 1/36 binary64) #s(literal 1/4 binary64))) (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64))) (/.f64 (/.f64 #s(literal 1/16 binary64) (fma.f64 (*.f64 y y) #s(literal 1/36 binary64) #s(literal 1/4 binary64))) (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64))))
(-.f64 (/.f64 (*.f64 (*.f64 y y) #s(literal 1/36 binary64)) (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64))))
(-.f64 (*.f64 #s(literal 1/6 binary64) y) #s(literal 1/2 binary64))
(+.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/6 binary64) y))
(+.f64 (*.f64 #s(literal 1/6 binary64) y) #s(literal -1/2 binary64))

eval83.0ms (2.3%)

Memory
52.5MiB live, 52.5MiB allocated
Compiler

Compiled 20 525 to 2 999 computations (85.4% saved)

prune37.0ms (1%)

Memory
31.3MiB live, 31.3MiB allocated
Pruning

27 alts after pruning (17 fresh and 10 done)

PrunedKeptTotal
New5666572
Fresh41115
Picked235
Done077
Total57227599
Accuracy
100.0%
Counts
599 → 27
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(*.f64 x (exp.f64 (*.f64 y y)))
99.2%
(*.f64 x (exp.f64 y))
82.7%
(*.f64 x #s(approx (exp (* y y)) (fma.f64 y y #s(literal 1 binary64))))
35.4%
(*.f64 x #s(approx (exp (* y y)) #s(approx (+ (* y y) 1) (*.f64 y y))))
51.4%
(*.f64 x #s(approx (exp (* y y)) #s(literal 1 binary64)))
86.5%
(*.f64 x #s(approx (exp y) (fma.f64 (fma.f64 (fma.f64 (*.f64 y y) (/.f64 #s(literal 1/36 binary64) (fma.f64 #s(literal 1/6 binary64) y #s(literal -1/2 binary64))) (neg.f64 (/.f64 #s(literal -1/4 binary64) (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64))))) y #s(literal 1 binary64)) y #s(literal 1 binary64))))
86.5%
(*.f64 x #s(approx (exp y) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/36 binary64) y) (/.f64 y (fma.f64 #s(literal 1/6 binary64) y #s(literal -1/2 binary64))) (neg.f64 (/.f64 #s(literal -1/4 binary64) (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64))))) y #s(literal 1 binary64)) y #s(literal 1 binary64))))
86.5%
(*.f64 x #s(approx (exp y) (fma.f64 (fma.f64 (fma.f64 y (/.f64 (*.f64 #s(literal 1/36 binary64) y) (fma.f64 #s(literal 1/6 binary64) y #s(literal -1/2 binary64))) (neg.f64 (/.f64 #s(literal -1/4 binary64) (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64))))) y #s(literal 1 binary64)) y #s(literal 1 binary64))))
86.5%
(*.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))))
86.5%
(*.f64 x #s(approx (exp y) (fma.f64 (fma.f64 (*.f64 (neg.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 y y) #s(literal -1/4 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64)))) y #s(literal 1 binary64)) y #s(literal 1 binary64))))
86.5%
(*.f64 x #s(approx (exp y) (fma.f64 (fma.f64 #s(approx (+ (* 1/36 (* y y)) -1/4) (*.f64 #s(literal 1/36 binary64) (*.f64 y y))) (/.f64 y (fma.f64 #s(literal 1/6 binary64) y #s(literal -1/2 binary64))) #s(literal 1 binary64)) y #s(literal 1 binary64))))
86.5%
(*.f64 x #s(approx (exp y) (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (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))))
86.9%
(*.f64 x #s(approx (exp y) (fma.f64 #s(approx (+ (* (+ (* 1/6 y) 1/2) y) 1) (/.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) y) (fma.f64 #s(literal 1/6 binary64) y #s(literal -1/2 binary64)))) y #s(literal 1 binary64))))
86.9%
(*.f64 x #s(approx (exp y) (fma.f64 #s(approx (+ (* (+ (* 1/6 y) 1/2) y) 1) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal -1/2 binary64)) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) y)))) y #s(literal 1 binary64))))
86.9%
(*.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))))
60.3%
(*.f64 x #s(approx (exp y) (fma.f64 #s(approx (+ (* (+ (* 1/6 y) 1/2) y) 1) (*.f64 (/.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) y) (fma.f64 (*.f64 y y) #s(literal 1/36 binary64) #s(literal -1/4 binary64))) (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)))) y #s(literal 1 binary64))))
86.9%
(*.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))))
86.9%
(*.f64 x #s(approx (exp y) (fma.f64 #s(approx (+ (* (+ (* 1/6 y) 1/2) y) 1) (*.f64 (*.f64 #s(literal 1/6 binary64) y) y)) y #s(literal 1 binary64))))
86.5%
(*.f64 x #s(approx (exp y) (/.f64 #s(literal 1 binary64) (/.f64 #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))))))
40.1%
(*.f64 x #s(approx (exp y) #s(approx (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) (*.f64 y y) y))))
39.6%
(*.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)))))
75.4%
#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 y x) y x))
83.6%
#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))
60.7%
#s(approx (* x (exp y)) (fma.f64 y x x))
26.3%
#s(approx (* x (exp y)) (/.f64 (*.f64 x #s(approx (+ (* (* y x) y) (neg x)) (*.f64 (*.f64 y y) x))) (-.f64 (*.f64 y x) x)))
60.7%
#s(approx (* x (exp y)) (+.f64 (*.f64 y x) x))
14.3%
#s(approx (* x (exp y)) #s(approx (+ (* y x) x) (*.f64 y x)))
Compiler

Compiled 1 242 to 592 computations (52.3% saved)

regimes51.0ms (1.4%)

Memory
19.7MiB live, 19.7MiB allocated
Counts
33 → 1
Calls
Call 1
Inputs
#s(approx (* x (exp y)) #s(approx (+ (* y x) x) (*.f64 y x)))
(*.f64 x #s(approx (exp (* y y)) #s(literal 1 binary64)))
#s(approx (* x (exp y)) (fma.f64 y x x))
#s(approx (* x (exp y)) (+.f64 (*.f64 y x) x))
(*.f64 x #s(approx (exp (* y y)) #s(approx (+ (* y y) 1) (*.f64 y y))))
#s(approx (* x (exp (* y y))) (fma.f64 (*.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 (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 #s(literal 1/6 binary64) y) 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))))
(*.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))
(*.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 x #s(approx (exp y) (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) (fma.f64 #s(literal 1/2 binary64) y #s(literal 1 binary64))) y #s(literal 1 binary64))))
#s(approx (* x (exp y)) (/.f64 (*.f64 x #s(approx (+ (* (* y x) y) (neg x)) (*.f64 (*.f64 y y) x))) (-.f64 (*.f64 y x) x)))
#s(approx (* x (exp y)) (/.f64 (*.f64 x (fma.f64 (*.f64 y x) y (neg.f64 x))) (-.f64 (*.f64 y x) x)))
(*.f64 x #s(approx (exp y) (fma.f64 #s(approx (+ (* (+ (* 1/6 y) 1/2) y) 1) (/.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) y) (fma.f64 #s(literal 1/6 binary64) y #s(literal -1/2 binary64)))) y #s(literal 1 binary64))))
(*.f64 x #s(approx (exp y) (fma.f64 (fma.f64 #s(approx (+ (* 1/36 (* y y)) -1/4) (*.f64 #s(literal 1/36 binary64) (*.f64 y y))) (/.f64 y (fma.f64 #s(literal 1/6 binary64) y #s(literal -1/2 binary64))) #s(literal 1 binary64)) y #s(literal 1 binary64))))
(*.f64 x #s(approx (exp y) (/.f64 #s(literal 1 binary64) (/.f64 #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))))))
(*.f64 x #s(approx (exp y) (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (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 x #s(approx (exp y) (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 y y) #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/6 binary64) y #s(literal -1/2 binary64))) y #s(literal 1 binary64)) y #s(literal 1 binary64))))
(*.f64 x #s(approx (exp y) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 y y) #s(literal -1/4 binary64)) (/.f64 y (fma.f64 #s(literal 1/6 binary64) y #s(literal -1/2 binary64))) #s(literal 1 binary64)) y #s(literal 1 binary64))))
(*.f64 x #s(approx (exp y) (fma.f64 (fma.f64 (*.f64 (neg.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 y y) #s(literal -1/4 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64)))) y #s(literal 1 binary64)) y #s(literal 1 binary64))))
(*.f64 x #s(approx (exp y) (fma.f64 #s(approx (+ (* (+ (* 1/6 y) 1/2) y) 1) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal -1/2 binary64)) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/36 binary64) #s(literal -1/4 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 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) y) (fma.f64 (*.f64 y y) #s(literal 1/36 binary64) #s(literal -1/4 binary64))) (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)))) y #s(literal 1 binary64))))
(*.f64 x #s(approx (exp y) (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) y)) (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/36 binary64) (*.f64 y y))))) y #s(literal 1 binary64)) y #s(literal 1 binary64))))
(*.f64 x #s(approx (exp y) (fma.f64 (fma.f64 (/.f64 (*.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 y y) #s(literal -1/4 binary64)) y) (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)) #s(literal 1 binary64)) y #s(literal 1 binary64))))
(*.f64 x #s(approx (exp y) (fma.f64 (fma.f64 (fma.f64 y (/.f64 (*.f64 #s(literal 1/36 binary64) y) (fma.f64 #s(literal 1/6 binary64) y #s(literal -1/2 binary64))) (neg.f64 (/.f64 #s(literal -1/4 binary64) (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64))))) y #s(literal 1 binary64)) y #s(literal 1 binary64))))
(*.f64 x #s(approx (exp y) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/36 binary64) y) (/.f64 y (fma.f64 #s(literal 1/6 binary64) y #s(literal -1/2 binary64))) (neg.f64 (/.f64 #s(literal -1/4 binary64) (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64))))) y #s(literal 1 binary64)) y #s(literal 1 binary64))))
(*.f64 x #s(approx (exp y) (fma.f64 (fma.f64 (fma.f64 (*.f64 y y) (/.f64 #s(literal 1/36 binary64) (fma.f64 #s(literal 1/6 binary64) y #s(literal -1/2 binary64))) (neg.f64 (/.f64 #s(literal -1/4 binary64) (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64))))) y #s(literal 1 binary64)) y #s(literal 1 binary64))))
(*.f64 x (exp.f64 y))
(*.f64 x (exp.f64 (*.f64 y y)))
Outputs
(*.f64 x (exp.f64 (*.f64 y y)))
Calls

5 calls:

11.0ms
x
10.0ms
y
10.0ms
(*.f64 x (exp.f64 (*.f64 y y)))
9.0ms
(*.f64 y y)
8.0ms
(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)

regimes50.0ms (1.4%)

Memory
19.4MiB live, 19.4MiB allocated
Counts
32 → 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))
#s(approx (* x (exp y)) (+.f64 (*.f64 y x) x))
(*.f64 x #s(approx (exp (* y y)) #s(approx (+ (* y y) 1) (*.f64 y y))))
#s(approx (* x (exp (* y y))) (fma.f64 (*.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 (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 #s(literal 1/6 binary64) y) 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))))
(*.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))
(*.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 x #s(approx (exp y) (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) (fma.f64 #s(literal 1/2 binary64) y #s(literal 1 binary64))) y #s(literal 1 binary64))))
#s(approx (* x (exp y)) (/.f64 (*.f64 x #s(approx (+ (* (* y x) y) (neg x)) (*.f64 (*.f64 y y) x))) (-.f64 (*.f64 y x) x)))
#s(approx (* x (exp y)) (/.f64 (*.f64 x (fma.f64 (*.f64 y x) y (neg.f64 x))) (-.f64 (*.f64 y x) x)))
(*.f64 x #s(approx (exp y) (fma.f64 #s(approx (+ (* (+ (* 1/6 y) 1/2) y) 1) (/.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) y) (fma.f64 #s(literal 1/6 binary64) y #s(literal -1/2 binary64)))) y #s(literal 1 binary64))))
(*.f64 x #s(approx (exp y) (fma.f64 (fma.f64 #s(approx (+ (* 1/36 (* y y)) -1/4) (*.f64 #s(literal 1/36 binary64) (*.f64 y y))) (/.f64 y (fma.f64 #s(literal 1/6 binary64) y #s(literal -1/2 binary64))) #s(literal 1 binary64)) y #s(literal 1 binary64))))
(*.f64 x #s(approx (exp y) (/.f64 #s(literal 1 binary64) (/.f64 #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))))))
(*.f64 x #s(approx (exp y) (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (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 x #s(approx (exp y) (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 y y) #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/6 binary64) y #s(literal -1/2 binary64))) y #s(literal 1 binary64)) y #s(literal 1 binary64))))
(*.f64 x #s(approx (exp y) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 y y) #s(literal -1/4 binary64)) (/.f64 y (fma.f64 #s(literal 1/6 binary64) y #s(literal -1/2 binary64))) #s(literal 1 binary64)) y #s(literal 1 binary64))))
(*.f64 x #s(approx (exp y) (fma.f64 (fma.f64 (*.f64 (neg.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 y y) #s(literal -1/4 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64)))) y #s(literal 1 binary64)) y #s(literal 1 binary64))))
(*.f64 x #s(approx (exp y) (fma.f64 #s(approx (+ (* (+ (* 1/6 y) 1/2) y) 1) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal -1/2 binary64)) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/36 binary64) #s(literal -1/4 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 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) y) (fma.f64 (*.f64 y y) #s(literal 1/36 binary64) #s(literal -1/4 binary64))) (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)))) y #s(literal 1 binary64))))
(*.f64 x #s(approx (exp y) (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) y)) (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/36 binary64) (*.f64 y y))))) y #s(literal 1 binary64)) y #s(literal 1 binary64))))
(*.f64 x #s(approx (exp y) (fma.f64 (fma.f64 (/.f64 (*.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 y y) #s(literal -1/4 binary64)) y) (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)) #s(literal 1 binary64)) y #s(literal 1 binary64))))
(*.f64 x #s(approx (exp y) (fma.f64 (fma.f64 (fma.f64 y (/.f64 (*.f64 #s(literal 1/36 binary64) y) (fma.f64 #s(literal 1/6 binary64) y #s(literal -1/2 binary64))) (neg.f64 (/.f64 #s(literal -1/4 binary64) (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64))))) y #s(literal 1 binary64)) y #s(literal 1 binary64))))
(*.f64 x #s(approx (exp y) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/36 binary64) y) (/.f64 y (fma.f64 #s(literal 1/6 binary64) y #s(literal -1/2 binary64))) (neg.f64 (/.f64 #s(literal -1/4 binary64) (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64))))) y #s(literal 1 binary64)) y #s(literal 1 binary64))))
(*.f64 x #s(approx (exp y) (fma.f64 (fma.f64 (fma.f64 (*.f64 y y) (/.f64 #s(literal 1/36 binary64) (fma.f64 #s(literal 1/6 binary64) y #s(literal -1/2 binary64))) (neg.f64 (/.f64 #s(literal -1/4 binary64) (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64))))) y #s(literal 1 binary64)) y #s(literal 1 binary64))))
(*.f64 x (exp.f64 y))
Outputs
(*.f64 x (exp.f64 y))
Calls

5 calls:

10.0ms
x
10.0ms
y
10.0ms
(*.f64 x (exp.f64 (*.f64 y y)))
9.0ms
(*.f64 y y)
8.0ms
(exp.f64 (*.f64 y y))
Results
AccuracySegmentsBranch
99.2%1x
99.2%1y
99.2%1(*.f64 x (exp.f64 (*.f64 y y)))
99.2%1(exp.f64 (*.f64 y y))
99.2%1(*.f64 y y)
Compiler

Compiled 15 to 16 computations (-6.7% saved)

regimes48.0ms (1.4%)

Memory
19.0MiB live, 19.0MiB 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))
#s(approx (* x (exp y)) (+.f64 (*.f64 y x) x))
(*.f64 x #s(approx (exp (* y y)) #s(approx (+ (* y y) 1) (*.f64 y y))))
#s(approx (* x (exp (* y y))) (fma.f64 (*.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 (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 #s(literal 1/6 binary64) y) 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))))
(*.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))
(*.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 x #s(approx (exp y) (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) (fma.f64 #s(literal 1/2 binary64) y #s(literal 1 binary64))) y #s(literal 1 binary64))))
#s(approx (* x (exp y)) (/.f64 (*.f64 x #s(approx (+ (* (* y x) y) (neg x)) (*.f64 (*.f64 y y) x))) (-.f64 (*.f64 y x) x)))
#s(approx (* x (exp y)) (/.f64 (*.f64 x (fma.f64 (*.f64 y x) y (neg.f64 x))) (-.f64 (*.f64 y x) x)))
(*.f64 x #s(approx (exp y) (fma.f64 #s(approx (+ (* (+ (* 1/6 y) 1/2) y) 1) (/.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) y) (fma.f64 #s(literal 1/6 binary64) y #s(literal -1/2 binary64)))) y #s(literal 1 binary64))))
(*.f64 x #s(approx (exp y) (fma.f64 (fma.f64 #s(approx (+ (* 1/36 (* y y)) -1/4) (*.f64 #s(literal 1/36 binary64) (*.f64 y y))) (/.f64 y (fma.f64 #s(literal 1/6 binary64) y #s(literal -1/2 binary64))) #s(literal 1 binary64)) y #s(literal 1 binary64))))
(*.f64 x #s(approx (exp y) (/.f64 #s(literal 1 binary64) (/.f64 #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))))))
(*.f64 x #s(approx (exp y) (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (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 x #s(approx (exp y) (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 y y) #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/6 binary64) y #s(literal -1/2 binary64))) y #s(literal 1 binary64)) y #s(literal 1 binary64))))
(*.f64 x #s(approx (exp y) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 y y) #s(literal -1/4 binary64)) (/.f64 y (fma.f64 #s(literal 1/6 binary64) y #s(literal -1/2 binary64))) #s(literal 1 binary64)) y #s(literal 1 binary64))))
(*.f64 x #s(approx (exp y) (fma.f64 (fma.f64 (*.f64 (neg.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 y y) #s(literal -1/4 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64)))) y #s(literal 1 binary64)) y #s(literal 1 binary64))))
(*.f64 x #s(approx (exp y) (fma.f64 #s(approx (+ (* (+ (* 1/6 y) 1/2) y) 1) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal -1/2 binary64)) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/36 binary64) #s(literal -1/4 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 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) y) (fma.f64 (*.f64 y y) #s(literal 1/36 binary64) #s(literal -1/4 binary64))) (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)))) y #s(literal 1 binary64))))
(*.f64 x #s(approx (exp y) (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) y)) (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/36 binary64) (*.f64 y y))))) y #s(literal 1 binary64)) y #s(literal 1 binary64))))
(*.f64 x #s(approx (exp y) (fma.f64 (fma.f64 (/.f64 (*.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 y y) #s(literal -1/4 binary64)) y) (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)) #s(literal 1 binary64)) y #s(literal 1 binary64))))
(*.f64 x #s(approx (exp y) (fma.f64 (fma.f64 (fma.f64 y (/.f64 (*.f64 #s(literal 1/36 binary64) y) (fma.f64 #s(literal 1/6 binary64) y #s(literal -1/2 binary64))) (neg.f64 (/.f64 #s(literal -1/4 binary64) (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64))))) y #s(literal 1 binary64)) y #s(literal 1 binary64))))
(*.f64 x #s(approx (exp y) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/36 binary64) y) (/.f64 y (fma.f64 #s(literal 1/6 binary64) y #s(literal -1/2 binary64))) (neg.f64 (/.f64 #s(literal -1/4 binary64) (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64))))) y #s(literal 1 binary64)) y #s(literal 1 binary64))))
(*.f64 x #s(approx (exp y) (fma.f64 (fma.f64 (fma.f64 (*.f64 y y) (/.f64 #s(literal 1/36 binary64) (fma.f64 #s(literal 1/6 binary64) y #s(literal -1/2 binary64))) (neg.f64 (/.f64 #s(literal -1/4 binary64) (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:

10.0ms
x
10.0ms
y
10.0ms
(*.f64 x (exp.f64 (*.f64 y y)))
9.0ms
(*.f64 y y)
8.0ms
(exp.f64 (*.f64 y y))
Results
AccuracySegmentsBranch
86.9%1x
86.9%1y
86.9%1(*.f64 x (exp.f64 (*.f64 y y)))
86.9%1(exp.f64 (*.f64 y y))
86.9%1(*.f64 y y)
Compiler

Compiled 15 to 16 computations (-6.7% saved)

regimes23.0ms (0.6%)

Memory
10.7MiB live, 10.7MiB allocated
Counts
11 → 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))
#s(approx (* x (exp y)) (+.f64 (*.f64 y x) x))
(*.f64 x #s(approx (exp (* y y)) #s(approx (+ (* y y) 1) (*.f64 y y))))
#s(approx (* x (exp (* y y))) (fma.f64 (*.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 (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 #s(literal 1/6 binary64) y) 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))))
(*.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 #s(literal 1/6 binary64) y) y)) y #s(literal 1 binary64))))
Calls

5 calls:

5.0ms
x
5.0ms
y
5.0ms
(*.f64 x (exp.f64 (*.f64 y y)))
4.0ms
(*.f64 y y)
3.0ms
(exp.f64 (*.f64 y y))
Results
AccuracySegmentsBranch
86.9%1(*.f64 x (exp.f64 (*.f64 y y)))
86.9%1(exp.f64 (*.f64 y y))
86.9%1y
86.9%1(*.f64 y y)
86.9%1x
Compiler

Compiled 15 to 16 computations (-6.7% saved)

regimes18.0ms (0.5%)

Memory
9.5MiB live, 9.5MiB allocated
Counts
8 → 2
Calls
Call 1
Inputs
#s(approx (* x (exp y)) #s(approx (+ (* y x) x) (*.f64 y x)))
(*.f64 x #s(approx (exp (* y y)) #s(literal 1 binary64)))
#s(approx (* x (exp y)) (fma.f64 y x x))
#s(approx (* x (exp y)) (+.f64 (*.f64 y x) x))
(*.f64 x #s(approx (exp (* y y)) #s(approx (+ (* y y) 1) (*.f64 y y))))
#s(approx (* x (exp (* y y))) (fma.f64 (*.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 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) (*.f64 y y)))))
Outputs
#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 y x) y x))
(*.f64 x #s(approx (exp y) #s(approx (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (*.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) (*.f64 y y)))))
Calls

5 calls:

4.0ms
x
4.0ms
y
4.0ms
(*.f64 x (exp.f64 (*.f64 y y)))
3.0ms
(*.f64 y y)
3.0ms
(exp.f64 (*.f64 y y))
Results
AccuracySegmentsBranch
86.9%2(*.f64 x (exp.f64 (*.f64 y y)))
86.9%2(exp.f64 (*.f64 y y))
86.9%2y
86.9%2(*.f64 y y)
82.7%1x
Compiler

Compiled 15 to 16 computations (-6.7% saved)

regimes13.0ms (0.4%)

Memory
7.1MiB live, 7.1MiB allocated
Counts
7 → 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))
#s(approx (* x (exp y)) (+.f64 (*.f64 y x) x))
(*.f64 x #s(approx (exp (* y y)) #s(approx (+ (* y y) 1) (*.f64 y y))))
#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 y x) y x))
(*.f64 x #s(approx (exp (* y y)) (fma.f64 y y #s(literal 1 binary64))))
Outputs
(*.f64 x #s(approx (exp (* y y)) (fma.f64 y y #s(literal 1 binary64))))
Calls

4 calls:

4.0ms
y
3.0ms
(*.f64 x (exp.f64 (*.f64 y y)))
3.0ms
(*.f64 y y)
3.0ms
(exp.f64 (*.f64 y y))
Results
AccuracySegmentsBranch
82.7%1(*.f64 x (exp.f64 (*.f64 y y)))
82.7%1(exp.f64 (*.f64 y y))
82.7%1y
82.7%1(*.f64 y y)
Compiler

Compiled 14 to 14 computations (0% saved)

regimes16.0ms (0.4%)

Memory
8.6MiB live, 8.6MiB allocated
Counts
6 → 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))
#s(approx (* x (exp y)) (+.f64 (*.f64 y x) x))
(*.f64 x #s(approx (exp (* y y)) #s(approx (+ (* y y) 1) (*.f64 y y))))
#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 y x) y x))
Outputs
#s(approx (* x (exp (* y y))) (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:

3.0ms
x
3.0ms
y
3.0ms
(*.f64 x (exp.f64 (*.f64 y y)))
3.0ms
(*.f64 y y)
2.0ms
(exp.f64 (*.f64 y y))
Results
AccuracySegmentsBranch
75.4%1x
82.7%2(*.f64 x (exp.f64 (*.f64 y y)))
82.7%2(exp.f64 (*.f64 y y))
82.7%2y
82.7%2(*.f64 y y)
Compiler

Compiled 15 to 16 computations (-6.7% saved)

regimes11.0ms (0.3%)

Memory
6.4MiB live, 6.4MiB 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))
#s(approx (* x (exp y)) (+.f64 (*.f64 y x) x))
(*.f64 x #s(approx (exp (* y y)) #s(approx (+ (* y y) 1) (*.f64 y y))))
Outputs
(*.f64 x #s(approx (exp (* y y)) #s(literal 1 binary64)))
(*.f64 x #s(approx (exp (* y y)) #s(approx (+ (* y y) 1) (*.f64 y y))))
Calls

4 calls:

3.0ms
y
3.0ms
(*.f64 x (exp.f64 (*.f64 y y)))
3.0ms
(*.f64 y y)
2.0ms
(exp.f64 (*.f64 y y))
Results
AccuracySegmentsBranch
82.7%2(*.f64 x (exp.f64 (*.f64 y y)))
82.7%2(exp.f64 (*.f64 y y))
82.7%2y
82.7%2(*.f64 y y)
Compiler

Compiled 14 to 14 computations (0% saved)

regimes13.0ms (0.4%)

Memory
7.8MiB live, 7.8MiB allocated
Counts
4 → 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))
#s(approx (* x (exp y)) (+.f64 (*.f64 y x) x))
Outputs
#s(approx (* x (exp y)) (fma.f64 y x x))
Calls

5 calls:

3.0ms
x
3.0ms
y
2.0ms
(*.f64 x (exp.f64 (*.f64 y y)))
2.0ms
(*.f64 y y)
2.0ms
(exp.f64 (*.f64 y y))
Results
AccuracySegmentsBranch
60.7%1x
60.7%1(*.f64 x (exp.f64 (*.f64 y y)))
60.7%1(exp.f64 (*.f64 y y))
60.7%1y
60.7%1(*.f64 y y)
Compiler

Compiled 15 to 16 computations (-6.7% saved)

regimes10.0ms (0.3%)

Memory
6.9MiB live, 6.9MiB allocated
Counts
2 → 2
Calls
Call 1
Inputs
#s(approx (* x (exp y)) #s(approx (+ (* y x) x) (*.f64 y x)))
(*.f64 x #s(approx (exp (* y y)) #s(literal 1 binary64)))
Outputs
(*.f64 x #s(approx (exp (* y y)) #s(literal 1 binary64)))
#s(approx (* x (exp y)) #s(approx (+ (* y x) x) (*.f64 y x)))
Calls

5 calls:

2.0ms
x
2.0ms
(*.f64 x (exp.f64 (*.f64 y y)))
2.0ms
y
2.0ms
(*.f64 y y)
1.0ms
(exp.f64 (*.f64 y y))
Results
AccuracySegmentsBranch
51.4%1x
61.1%2y
61.1%2(*.f64 x (exp.f64 (*.f64 y y)))
61.1%2(exp.f64 (*.f64 y y))
61.1%2(*.f64 y y)
Compiler

Compiled 15 to 16 computations (-6.7% saved)

regimes8.0ms (0.2%)

Memory
6.6MiB live, 6.6MiB 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:

2.0ms
(*.f64 x (exp.f64 (*.f64 y y)))
2.0ms
y
2.0ms
x
1.0ms
(*.f64 y y)
1.0ms
(exp.f64 (*.f64 y y))
Results
AccuracySegmentsBranch
14.3%1x
14.3%1y
14.3%1(*.f64 x (exp.f64 (*.f64 y y)))
14.3%1(exp.f64 (*.f64 y y))
14.3%1(*.f64 y y)
Compiler

Compiled 15 to 16 computations (-6.7% saved)

bsearch0.0ms (0%)

Memory
0.2MiB live, 0.2MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
1.7201838402567977e-15
37086.92044249041
Compiler

Compiled 9 to 10 computations (-11.1% saved)

bsearch0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
1.2626738933384338e+56
3.8988489776305824e+57
Compiler

Compiled 9 to 10 computations (-11.1% saved)

bsearch0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
1.7201838402567977e-15
37086.92044249041
Compiler

Compiled 9 to 10 computations (-11.1% saved)

bsearch0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
1.7201838402567977e-15
37086.92044249041
Compiler

Compiled 9 to 10 computations (-11.1% saved)

simplify29.0ms (0.8%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
063230
179230
Stop Event
saturated
Calls
Call 1
Inputs
(*.f64 x (exp.f64 (*.f64 y y)))
(*.f64 x (exp.f64 y))
(*.f64 x #s(approx (exp y) (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 #s(literal 1/6 binary64) y) y)) y #s(literal 1 binary64))))
(if (<=.f64 (*.f64 y y) #s(literal 2535301200456459/1267650600228229401496703205376 binary64)) #s(approx (* x (exp (* y y))) (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 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) (*.f64 y y))))))
(*.f64 x #s(approx (exp (* y y)) (fma.f64 y y #s(literal 1 binary64))))
(if (<=.f64 (*.f64 y y) #s(literal 200000000000000018380567016286756476168068919431369064448 binary64)) #s(approx (* x (exp (* y y))) (fma.f64 (*.f64 y x) y x)) (*.f64 x #s(approx (exp (* y y)) #s(approx (+ (* y y) 1) (*.f64 y y)))))
(if (<=.f64 (*.f64 y y) #s(literal 2535301200456459/1267650600228229401496703205376 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 (*.f64 y y) #s(literal 2535301200456459/1267650600228229401496703205376 binary64)) (*.f64 x #s(approx (exp (* y y)) #s(literal 1 binary64))) #s(approx (* x (exp y)) #s(approx (+ (* y x) x) (*.f64 y x))))
#s(approx (* x (exp y)) #s(approx (+ (* y x) x) (*.f64 y x)))
Outputs
(*.f64 x (exp.f64 (*.f64 y y)))
(*.f64 (exp.f64 (*.f64 y y)) x)
(*.f64 x (exp.f64 y))
(*.f64 (exp.f64 y) x)
(*.f64 x #s(approx (exp y) (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 #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))) x)
(*.f64 x #s(approx (exp y) (fma.f64 #s(approx (+ (* (+ (* 1/6 y) 1/2) y) 1) (*.f64 (*.f64 #s(literal 1/6 binary64) y) y)) y #s(literal 1 binary64))))
(*.f64 #s(approx (exp y) (fma.f64 #s(approx (+ (* (+ (* 1/6 y) 1/2) y) 1) (*.f64 (*.f64 #s(literal 1/6 binary64) y) y)) y #s(literal 1 binary64))) x)
(if (<=.f64 (*.f64 y y) #s(literal 2535301200456459/1267650600228229401496703205376 binary64)) #s(approx (* x (exp (* y y))) (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 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) (*.f64 y y))))))
(if (<=.f64 (*.f64 y y) #s(literal 2535301200456459/1267650600228229401496703205376 binary64)) #s(approx (* x (exp (* y y))) (fma.f64 (*.f64 y x) y x)) (*.f64 #s(approx (exp y) #s(approx (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (*.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) (*.f64 y y)))) x))
(*.f64 x #s(approx (exp (* y y)) (fma.f64 y y #s(literal 1 binary64))))
(*.f64 #s(approx (exp (* y y)) (fma.f64 y y #s(literal 1 binary64))) x)
(if (<=.f64 (*.f64 y y) #s(literal 200000000000000018380567016286756476168068919431369064448 binary64)) #s(approx (* x (exp (* y y))) (fma.f64 (*.f64 y x) y x)) (*.f64 x #s(approx (exp (* y y)) #s(approx (+ (* y y) 1) (*.f64 y y)))))
(if (<=.f64 (*.f64 y y) #s(literal 200000000000000018380567016286756476168068919431369064448 binary64)) #s(approx (* x (exp (* y y))) (fma.f64 (*.f64 y x) y x)) (*.f64 #s(approx (exp (* y y)) #s(approx (+ (* y y) 1) (*.f64 y y))) x))
(if (<=.f64 (*.f64 y y) #s(literal 2535301200456459/1267650600228229401496703205376 binary64)) (*.f64 x #s(approx (exp (* y y)) #s(literal 1 binary64))) (*.f64 x #s(approx (exp (* y y)) #s(approx (+ (* y y) 1) (*.f64 y y)))))
(if (<=.f64 (*.f64 y y) #s(literal 2535301200456459/1267650600228229401496703205376 binary64)) (*.f64 #s(approx (exp (* y y)) #s(literal 1 binary64)) x) (*.f64 #s(approx (exp (* y y)) #s(approx (+ (* y y) 1) (*.f64 y y))) x))
#s(approx (* x (exp y)) (fma.f64 y x x))
(if (<=.f64 (*.f64 y y) #s(literal 2535301200456459/1267650600228229401496703205376 binary64)) (*.f64 x #s(approx (exp (* y y)) #s(literal 1 binary64))) #s(approx (* x (exp y)) #s(approx (+ (* y x) x) (*.f64 y x))))
(if (<=.f64 (*.f64 y y) #s(literal 2535301200456459/1267650600228229401496703205376 binary64)) (*.f64 #s(approx (exp (* y y)) #s(literal 1 binary64)) x) #s(approx (* x (exp y)) #s(approx (+ (* y x) x) (*.f64 y x))))
#s(approx (* x (exp y)) #s(approx (+ (* y x) x) (*.f64 y x)))

soundness1.1s (29.9%)

Memory
8.7MiB live, 8.7MiB allocated
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
0106310
1345306
2960292
32790290
47485290
08112243
0513
0813
11313
22613
36913
42945
026665
061166
1186166
2470158
31122156
41595156
52133156
63050156
73600156
83867156
94194156
104884156
115511156
126675156
137960156
08028132
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
iter limit
unsound
iter limit
iter limit
node limit
Compiler

Compiled 368 to 196 computations (46.7% saved)

preprocess112.0ms (3.1%)

Memory
53.3MiB live, 53.3MiB allocated
Remove

(negabs x)

(abs y)

Compiler

Compiled 628 to 272 computations (56.7% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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