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

Time bar (total: 21.0s)

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)

sample1.0s (5%)

Memory
-22.5MiB live, 504.1MiB allocated
Samples
823.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 425.0ms
ival-exp: 223.0ms (52.5% of total)
ival-mult: 192.0ms (45.2% of total)
ival-true: 6.0ms (1.4% of total)
ival-assert: 3.0ms (0.7% of total)
Bogosity

explain185.0ms (0.9%)

Memory
22.5MiB live, 95.3MiB 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
156.0ms512×0valid
Compiler

Compiled 55 to 24 computations (56.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 52.0ms
ival-mult: 47.0ms (90.2% of total)
ival-exp: 4.0ms (7.7% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess165.0ms (0.8%)

Memory
-6.8MiB live, 29.6MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

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

(abs y)

(negabs x)

Compiler

Compiled 6 to 5 computations (16.7% saved)

eval0.0ms (0%)

Memory
0.2MiB live, 0.2MiB allocated
Compiler

Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory
0.9MiB live, 0.9MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(*.f64 x (exp.f64 (*.f64 y y)))
Compiler

Compiled 6 to 5 computations (16.7% saved)

simplify3.0ms (0%)

Memory
5.4MiB live, 5.4MiB 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

localize166.0ms (0.8%)

Memory
-50.0MiB live, 21.2MiB allocated
Localize:

Found 3 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(*.f64 y y)
accuracy0.0
(exp.f64 (*.f64 y y))
accuracy0.015625
(*.f64 x (exp.f64 (*.f64 y y)))
Samples
161.0ms256×0valid
Compiler

Compiled 32 to 12 computations (62.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 8.0ms
ival-mult: 6.0ms (78.2% of total)
ival-exp: 2.0ms (26.1% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series4.0ms (0%)

Memory
2.0MiB live, 2.0MiB 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)))
1.0ms
x
@-inf
((* x (exp (* y y))) (* y y) (exp (* y y)))

simplify148.0ms (0.7%)

Memory
-2.9MiB live, 36.5MiB 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)

rewrite46.0ms (0.2%)

Memory
30.1MiB live, 30.1MiB 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
2.2MiB live, 2.2MiB allocated
Compiler

Compiled 171 to 47 computations (72.5% saved)

prune2.0ms (0%)

Memory
2.5MiB live, 2.5MiB allocated
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New13417
Fresh000
Picked011
Done000
Total13518
Accuracy
100.0%
Counts
18 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(*.f64 x (exp.f64 (*.f64 y y)))
98.3%
(*.f64 x (exp.f64 y))
82.2%
(*.f64 x #s(approx (exp (* y y)) (fma.f64 y y #s(literal 1 binary64))))
45.8%
(*.f64 x #s(approx (exp (* y y)) #s(literal 1 binary64)))
82.2%
#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 y y) x x))
Compiler

Compiled 42 to 32 computations (23.8% saved)

simplify75.0ms (0.4%)

Memory
-29.1MiB live, 9.8MiB allocated
Algorithm
egg-herbie
Localize:

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

Useful iterations: 0 (0.0ms)

IterNodesCost
01675
02475
13775
24175
34775
44775
59075
69075
79575
89675
09675
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 y y) x x))
(fma.f64 (*.f64 y y) x x)
(*.f64 y y)
y
x
(*.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
#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 y y) x x))
(fma.f64 (*.f64 y y) x x)
(*.f64 y y)
y
x
(*.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

localize73.0ms (0.3%)

Memory
9.9MiB live, 45.2MiB allocated
Localize:

Found 10 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(exp.f64 y)
accuracy0.0078125
(*.f64 x (exp.f64 y))
accuracy0.0
(fma.f64 y y #s(literal 1 binary64))
accuracy0.015625
(*.f64 x #s(approx (exp (* y y)) (fma.f64 y y #s(literal 1 binary64))))
accuracy16.562036804935357
#s(approx (exp (* y y)) (fma.f64 y y #s(literal 1 binary64)))
accuracy0.015625
(*.f64 x #s(approx (exp (* y y)) #s(literal 1 binary64)))
accuracy34.825976944653156
#s(approx (exp (* y y)) #s(literal 1 binary64))
accuracy0.0
(*.f64 y y)
accuracy4.775083907804821
(fma.f64 (*.f64 y y) x x)
accuracy16.10600368757563
#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 y y) x x))
Samples
64.0ms256×0valid
Compiler

Compiled 133 to 29 computations (78.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 55.0ms
ival-exp: 45.0ms (82.3% of total)
ival-mult: 7.0ms (12.8% of total)
ival-add: 2.0ms (3.7% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series7.0ms (0%)

Memory
12.9MiB live, 12.9MiB allocated
Counts
10 → 24
Calls
Call 1
Inputs
#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 y y) x x))
(fma.f64 (*.f64 y y) x x)
(*.f64 y y)
(*.f64 x #s(approx (exp (* y y)) #s(literal 1 binary64)))
#s(approx (exp (* y y)) #s(literal 1 binary64))
(*.f64 x #s(approx (exp (* y y)) (fma.f64 y y #s(literal 1 binary64))))
#s(approx (exp (* y y)) (fma.f64 y y #s(literal 1 binary64)))
(fma.f64 y y #s(literal 1 binary64))
(*.f64 x (exp.f64 y))
(exp.f64 y)
Outputs
(* x (exp (pow y 2)))
(* x (+ 1 (pow y 2)))
(* x (exp y))
(* -1 (* x (- (* -1 (pow y 2)) 1)))
x
(+ x (* x (pow y 2)))
(+ x (* (pow y 2) (+ x (* 1/2 (* x (pow y 2))))))
(+ x (* (pow y 2) (+ x (* (pow y 2) (+ (* 1/6 (* x (pow y 2))) (* 1/2 x))))))
(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)))))))
(+ 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))))))
(* x (pow y 2))
(* (pow y 2) (+ x (/ x (pow y 2))))
(exp (pow y 2))
(* (pow y 2) (+ 1 (/ 1 (pow y 2))))
(exp y)
Calls

6 calls:

TimeVariablePointExpression
2.0ms
x
@inf
((* x (exp (* y y))) (+ (* (* y y) x) x) (* y y) (* 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))) (+ (* (* y y) x) x) (* y y) (* 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))) (+ (* (* y y) x) x) (* y y) (* 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))) (+ (* (* y y) x) x) (* y y) (* 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))) (+ (* (* y y) x) x) (* y y) (* x (exp (* y y))) (exp (* y y)) (* x (exp (* y y))) (exp (* y y)) (+ (* y y) 1) (* x (exp y)) (exp y))

simplify14.2s (67.6%)

Memory
14.6MiB live, 211.9MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
070192
1217192
2545184
31401182
43200182
08349155
Stop Event
iter limit
node limit
Counts
24 → 23
Calls
Call 1
Inputs
(* x (exp (pow y 2)))
(* x (+ 1 (pow y 2)))
(* x (exp y))
(* -1 (* x (- (* -1 (pow y 2)) 1)))
x
(+ x (* x (pow y 2)))
(+ x (* (pow y 2) (+ x (* 1/2 (* x (pow y 2))))))
(+ x (* (pow y 2) (+ x (* (pow y 2) (+ (* 1/6 (* x (pow y 2))) (* 1/2 x))))))
(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)))))))
(+ 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))))))
(* x (pow y 2))
(* (pow y 2) (+ x (/ x (pow y 2))))
(exp (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 (+ 1 (pow y 2)))
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(* x (exp y))
(*.f64 (exp.f64 y) x)
(* -1 (* x (- (* -1 (pow y 2)) 1)))
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
x
(+ x (* x (pow y 2)))
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(+ x (* (pow y 2) (+ x (* 1/2 (* x (pow y 2))))))
(*.f64 x (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) (+ 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 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1/2 binary64)) (*.f64 (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))))
(+ 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 x (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 y)
(+.f64 #s(literal 1 binary64) y)
(+ 1 (* y (+ 1 (* 1/2 y))))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal 1 binary64)) y #s(literal 1 binary64))
(+ 1 (* y (+ 1 (* y (+ 1/2 (* 1/6 y))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y #s(literal 1 binary64))
(* x (pow y 2))
(*.f64 (*.f64 y y) x)
(* (pow y 2) (+ x (/ x (pow y 2))))
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(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))
(exp y)
(exp.f64 y)

rewrite193.0ms (0.9%)

Memory
-8.8MiB live, 249.8MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01666
02466
16466
232766
3294066
0893766
Stop Event
iter limit
node limit
iter limit
Counts
10 → 363
Calls
Call 1
Inputs
#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 y y) x x))
(fma.f64 (*.f64 y y) x x)
(*.f64 y y)
(*.f64 x #s(approx (exp (* y y)) #s(literal 1 binary64)))
#s(approx (exp (* y y)) #s(literal 1 binary64))
(*.f64 x #s(approx (exp (* y y)) (fma.f64 y y #s(literal 1 binary64))))
#s(approx (exp (* y y)) (fma.f64 y y #s(literal 1 binary64)))
(fma.f64 y y #s(literal 1 binary64))
(*.f64 x (exp.f64 y))
(exp.f64 y)
Outputs
#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 y y) x x))
(*.f64 (pow.f64 (/.f64 (-.f64 (*.f64 (*.f64 y y) x) x) (-.f64 (pow.f64 (*.f64 (*.f64 y y) x) #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))) #s(literal -1 binary64)) (pow.f64 (*.f64 x (fma.f64 (pow.f64 y #s(literal 4 binary64)) x x)) #s(literal -1 binary64)))
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(-.f64 (/.f64 (pow.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 y y #s(literal -1 binary64))) #s(literal 2 binary64)) (+.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 y y #s(literal -1 binary64))) (pow.f64 (fma.f64 y y #s(literal -1 binary64)) #s(literal -1 binary64)))) (/.f64 (pow.f64 (fma.f64 y y #s(literal -1 binary64)) #s(literal -2 binary64)) (+.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (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 12 binary64)) (pow.f64 (fma.f64 y y #s(literal -1 binary64)) #s(literal -3 binary64))) (+.f64 (pow.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 y y #s(literal -1 binary64))) #s(literal 2 binary64)) (+.f64 (pow.f64 (fma.f64 y y #s(literal -1 binary64)) #s(literal -2 binary64)) (*.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 y y #s(literal -1 binary64))) (pow.f64 (fma.f64 y y #s(literal -1 binary64)) #s(literal -1 binary64)))))) (/.f64 (pow.f64 (fma.f64 y y #s(literal -1 binary64)) #s(literal -3 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 y y #s(literal -1 binary64))) #s(literal 2 binary64)) (+.f64 (pow.f64 (fma.f64 y y #s(literal -1 binary64)) #s(literal -2 binary64)) (*.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (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))) (pow.f64 (fma.f64 y y #s(literal -1 binary64)) #s(literal 2 binary64))) (/.f64 (*.f64 (fma.f64 y y #s(literal -1 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 y y #s(literal -1 binary64)) #s(literal 2 binary64))))
(-.f64 (/.f64 (pow.f64 y #s(literal 8 binary64)) (*.f64 (fma.f64 y y #s(literal -1 binary64)) (+.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y y #s(literal -1 binary64)) (+.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)))))
(-.f64 (/.f64 (pow.f64 y #s(literal 12 binary64)) (*.f64 (fma.f64 y y #s(literal -1 binary64)) (+.f64 (+.f64 (pow.f64 y #s(literal 8 binary64)) #s(literal 1 binary64)) (pow.f64 y #s(literal 4 binary64))))) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y y #s(literal -1 binary64)) (+.f64 (+.f64 (pow.f64 y #s(literal 8 binary64)) #s(literal 1 binary64)) (pow.f64 y #s(literal 4 binary64))))))
(-.f64 (/.f64 (pow.f64 y #s(literal 12 binary64)) (*.f64 (fma.f64 y (-.f64 (pow.f64 y #s(literal 3 binary64)) y) #s(literal 1 binary64)) (-.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y (-.f64 (pow.f64 y #s(literal 3 binary64)) y) #s(literal 1 binary64)) (-.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1 binary64)))))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (*.f64 y y))) (/.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 y y))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (fma.f64 y (-.f64 (pow.f64 y #s(literal 3 binary64)) y) #s(literal 1 binary64)))) (/.f64 (+.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1 binary64)) (neg.f64 (fma.f64 y (-.f64 (pow.f64 y #s(literal 3 binary64)) y) #s(literal 1 binary64)))))
(-.f64 (/.f64 (/.f64 (pow.f64 y #s(literal 8 binary64)) (+.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64))) (fma.f64 y y #s(literal -1 binary64))) (/.f64 (pow.f64 (+.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (fma.f64 y y #s(literal -1 binary64))))
(-.f64 (/.f64 (/.f64 (pow.f64 y #s(literal 12 binary64)) (+.f64 (+.f64 (pow.f64 y #s(literal 8 binary64)) #s(literal 1 binary64)) (pow.f64 y #s(literal 4 binary64)))) (fma.f64 y y #s(literal -1 binary64))) (/.f64 (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)) (fma.f64 y y #s(literal -1 binary64))))
(-.f64 (/.f64 (/.f64 (pow.f64 y #s(literal 12 binary64)) (-.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1 binary64))) (fma.f64 y (-.f64 (pow.f64 y #s(literal 3 binary64)) y) #s(literal 1 binary64))) (/.f64 (pow.f64 (-.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (fma.f64 y (-.f64 (pow.f64 y #s(literal 3 binary64)) y) #s(literal 1 binary64))))
(-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal -1 binary64)) (/.f64 (pow.f64 y #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 y y))))
(-.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 y y #s(literal -1 binary64))) (pow.f64 (fma.f64 y y #s(literal -1 binary64)) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 y y #s(literal 1 binary64)) #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))) (neg.f64 (pow.f64 (fma.f64 y y #s(literal -1 binary64)) #s(literal -1 binary64))))
(+.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)

eval87.0ms (0.4%)

Memory
-19.7MiB live, 82.2MiB allocated
Compiler

Compiled 10 897 to 1 476 computations (86.5% saved)

prune9.0ms (0%)

Memory
29.3MiB live, 29.3MiB allocated
Pruning

9 alts after pruning (5 fresh and 4 done)

PrunedKeptTotal
New3775382
Fresh000
Picked134
Done011
Total3789387
Accuracy
100.0%
Counts
387 → 9
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(*.f64 x (exp.f64 (*.f64 y y)))
98.3%
(*.f64 x (exp.f64 y))
82.2%
(*.f64 x #s(approx (exp (* y y)) (fma.f64 y y #s(literal 1 binary64))))
45.8%
(*.f64 x #s(approx (exp (* y y)) #s(literal 1 binary64)))
87.4%
(*.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))))
74.8%
#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 y x) y x))
40.1%
#s(approx (* x (exp (* y y))) #s(approx (+ (* (* y y) x) x) (*.f64 (*.f64 y y) x)))
73.8%
#s(approx (* x (exp y)) (fma.f64 (fma.f64 (*.f64 y x) #s(literal 1/2 binary64) x) y x))
60.2%
#s(approx (* x (exp y)) (fma.f64 y x x))
Compiler

Compiled 171 to 114 computations (33.3% saved)

simplify51.0ms (0.2%)

Memory
-10.1MiB live, 28.5MiB allocated
Algorithm
egg-herbie
Localize:

Found 17 expressions of interest:

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

Useful iterations: 0 (0.0ms)

IterNodesCost
029171
047169
177169
2108169
3205169
4376169
5513169
6536169
0536169
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(*.f64 x #s(approx (exp y) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y #s(literal 1 binary64))))
x
#s(approx (exp y) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y #s(literal 1 binary64)))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y #s(literal 1 binary64))
(fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64))
(fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64))
#s(literal 1/6 binary64)
y
#s(literal 1/2 binary64)
#s(literal 1 binary64)
#s(approx (* x (exp y)) (fma.f64 y x x))
(fma.f64 y x x)
y
x
#s(approx (* x (exp (* y y))) #s(approx (+ (* (* y y) x) x) (*.f64 (*.f64 y y) x)))
#s(approx (+ (* (* y y) x) x) (*.f64 (*.f64 y y) x))
(*.f64 (*.f64 y y) x)
(*.f64 y y)
y
x
#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 y x) y x))
(fma.f64 (*.f64 y x) y x)
(*.f64 y x)
y
x
#s(approx (* x (exp y)) (fma.f64 (fma.f64 (*.f64 y x) #s(literal 1/2 binary64) x) y x))
(fma.f64 (fma.f64 (*.f64 y x) #s(literal 1/2 binary64) x) y x)
(fma.f64 (*.f64 y x) #s(literal 1/2 binary64) x)
(*.f64 y x)
y
x
#s(literal 1/2 binary64)
Outputs
(*.f64 x #s(approx (exp y) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y #s(literal 1 binary64))))
(*.f64 #s(approx (exp y) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y #s(literal 1 binary64))) x)
x
#s(approx (exp y) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y #s(literal 1 binary64)))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y #s(literal 1 binary64))
(fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64))
(fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64))
#s(literal 1/6 binary64)
y
#s(literal 1/2 binary64)
#s(literal 1 binary64)
#s(approx (* x (exp y)) (fma.f64 y x x))
(fma.f64 y x x)
y
x
#s(approx (* x (exp (* y y))) #s(approx (+ (* (* y y) x) x) (*.f64 (*.f64 y y) x)))
#s(approx (+ (* (* y y) x) x) (*.f64 (*.f64 y y) x))
(*.f64 (*.f64 y y) x)
(*.f64 y y)
y
x
#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 y x) y x))
#s(approx (* x (exp (* y y))) (*.f64 (fma.f64 y y #s(literal 1 binary64)) x))
(fma.f64 (*.f64 y x) y x)
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(*.f64 y x)
y
x
#s(approx (* x (exp y)) (fma.f64 (fma.f64 (*.f64 y x) #s(literal 1/2 binary64) x) y x))
(fma.f64 (fma.f64 (*.f64 y x) #s(literal 1/2 binary64) x) y x)
(fma.f64 (*.f64 y x) #s(literal 1/2 binary64) x)
(*.f64 y x)
y
x
#s(literal 1/2 binary64)

localize233.0ms (1.1%)

Memory
-25.9MiB live, 132.0MiB allocated
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(*.f64 y x)
accuracy0.00390625
(fma.f64 (*.f64 y x) #s(literal 1/2 binary64) x)
accuracy0.07421875
(fma.f64 (fma.f64 (*.f64 y x) #s(literal 1/2 binary64) x) y x)
accuracy16.14951470906959
#s(approx (* x (exp y)) (fma.f64 (fma.f64 (*.f64 y x) #s(literal 1/2 binary64) x) y x))
accuracy0.0
(*.f64 y x)
accuracy0.078125
(fma.f64 (*.f64 y x) y x)
accuracy16.10600368757563
#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 y x) y x))
accuracy0.0
(*.f64 y y)
accuracy8.739458586712374
(*.f64 (*.f64 y y) x)
accuracy16.10600368757563
#s(approx (* x (exp (* y y))) #s(approx (+ (* (* y y) x) x) (*.f64 (*.f64 y y) x)))
accuracy27.30744392293563
#s(approx (+ (* (* y y) x) x) (*.f64 (*.f64 y y) x))
accuracy0.0
(fma.f64 y x x)
accuracy25.079225505672245
#s(approx (* x (exp y)) (fma.f64 y x x))
accuracy0.0390625
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y #s(literal 1 binary64))
accuracy0.08203125
(fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64))
accuracy0.2109375
(fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64))
accuracy9.298564173717734
#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)))
Samples
186.0ms256×0valid
Compiler

Compiled 291 to 57 computations (80.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 149.0ms
ival-exp: 94.0ms (63.1% of total)
ival-mult: 42.0ms (28.2% of total)
ival-add: 8.0ms (5.4% of total)
const: 4.0ms (2.7% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series14.0ms (0.1%)

Memory
21.2MiB live, 21.2MiB allocated
Counts
17 → 51
Calls
Call 1
Inputs
(*.f64 x #s(approx (exp y) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y #s(literal 1 binary64))))
#s(approx (exp y) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y #s(literal 1 binary64)))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y #s(literal 1 binary64))
(fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64))
#s(approx (* x (exp y)) (fma.f64 y x x))
(fma.f64 y x x)
#s(approx (* x (exp (* y y))) #s(approx (+ (* (* y y) x) x) (*.f64 (*.f64 y y) x)))
#s(approx (+ (* (* y y) x) x) (*.f64 (*.f64 y y) x))
(*.f64 (*.f64 y y) x)
(*.f64 y y)
#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 y x) y x))
(fma.f64 (*.f64 y x) y x)
(*.f64 y x)
#s(approx (* x (exp y)) (fma.f64 (fma.f64 (*.f64 y x) #s(literal 1/2 binary64) x) y x))
(fma.f64 (fma.f64 (*.f64 y x) #s(literal 1/2 binary64) x) y x)
(fma.f64 (*.f64 y x) #s(literal 1/2 binary64) x)
(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)))
(* x (+ 1 (pow y 2)))
(* x (pow y 2))
(* x y)
(* x (+ 1 (* y (+ 1 (* 1/2 y)))))
(* x (+ 1 (* 1/2 y)))
(* -1 (* x (- (* -1 y) 1)))
(* -1 (* x (- (* -1 (pow y 2)) 1)))
(* -1 (* x (- (* y (- (* -1/2 y) 1)) 1)))
(* -1 (* x (- (* -1/2 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))))))
(pow y 2)
(+ x (* 1/2 (* x y)))
1/2
(+ 1/2 (* 1/6 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)))))
(* y (+ x (/ x y)))
(* (pow y 2) (+ x (/ x (pow y 2))))
(* 1/2 (* x (pow y 2)))
(* (pow y 2) (+ (* 1/2 x) (/ x y)))
(* (pow y 2) (+ (* 1/2 x) (+ (/ x y) (/ x (pow y 2)))))
(* 1/2 (* x y))
(* y (+ (* 1/2 x) (/ x y)))
(* 1/6 y)
(* 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)))))
(* (pow y 2) (+ (* -1 (/ (+ (* -1 x) (* -1 (/ x y))) y)) (* 1/2 x)))
(* -1 (* y (+ (* -1 (/ x y)) (* -1/2 x))))
Calls

6 calls:

TimeVariablePointExpression
3.0ms
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) (* x (exp (* y y))) (+ (* (* y y) x) x) (* (* y y) x) (* y y) (* x (exp (* y y))) (+ (* (* y x) y) x) (* y x) (* x (exp y)) (+ (* (+ (* (* y x) 1/2) x) y) x) (+ (* (* y x) 1/2) x) (+ (* 1/6 y) 1/2))
2.0ms
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) (* x (exp (* y y))) (+ (* (* y y) x) x) (* (* y y) x) (* y y) (* x (exp (* y y))) (+ (* (* y x) y) x) (* y x) (* x (exp y)) (+ (* (+ (* (* y x) 1/2) x) y) x) (+ (* (* y x) 1/2) x) (+ (* 1/6 y) 1/2))
2.0ms
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) (* x (exp (* y y))) (+ (* (* y y) x) x) (* (* y y) x) (* y y) (* x (exp (* y y))) (+ (* (* y x) y) x) (* y x) (* x (exp y)) (+ (* (+ (* (* y x) 1/2) x) y) x) (+ (* (* y x) 1/2) x) (+ (* 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) (* x (exp (* y y))) (+ (* (* y y) x) x) (* (* y y) x) (* y y) (* x (exp (* y y))) (+ (* (* y x) y) x) (* y x) (* x (exp y)) (+ (* (+ (* (* y x) 1/2) x) y) x) (+ (* (* y x) 1/2) x) (+ (* 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) (* x (exp (* y y))) (+ (* (* y y) x) x) (* (* y y) x) (* y y) (* x (exp (* y y))) (+ (* (* y x) y) x) (* y x) (* x (exp y)) (+ (* (+ (* (* y x) 1/2) x) y) x) (+ (* (* y x) 1/2) x) (+ (* 1/6 y) 1/2))

simplify312.0ms (1.5%)

Memory
-0.3MiB live, 191.6MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0128392
1417392
21163376
33383374
47124374
08163317
Stop Event
iter limit
node limit
Counts
51 → 50
Calls
Call 1
Inputs
(* x (exp y))
(* x (+ 1 y))
(* x (exp (pow y 2)))
(* x (+ 1 (pow y 2)))
(* x (pow y 2))
(* x y)
(* x (+ 1 (* y (+ 1 (* 1/2 y)))))
(* x (+ 1 (* 1/2 y)))
(* -1 (* x (- (* -1 y) 1)))
(* -1 (* x (- (* -1 (pow y 2)) 1)))
(* -1 (* x (- (* y (- (* -1/2 y) 1)) 1)))
(* -1 (* x (- (* -1/2 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))))))
(pow y 2)
(+ x (* 1/2 (* x y)))
1/2
(+ 1/2 (* 1/6 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)))))
(* y (+ x (/ x y)))
(* (pow y 2) (+ x (/ x (pow y 2))))
(* 1/2 (* x (pow y 2)))
(* (pow y 2) (+ (* 1/2 x) (/ x y)))
(* (pow y 2) (+ (* 1/2 x) (+ (/ x y) (/ x (pow y 2)))))
(* 1/2 (* x y))
(* y (+ (* 1/2 x) (/ x y)))
(* 1/6 y)
(* 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)))))
(* (pow y 2) (+ (* -1 (/ (+ (* -1 x) (* -1 (/ x y))) y)) (* 1/2 x)))
(* -1 (* y (+ (* -1 (/ x y)) (* -1/2 x))))
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)
(* x (+ 1 (pow y 2)))
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(* x (pow y 2))
(*.f64 (*.f64 y y) x)
(* x y)
(*.f64 y x)
(* x (+ 1 (* y (+ 1 (* 1/2 y)))))
(*.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal 1 binary64)) y #s(literal 1 binary64)) x)
(* x (+ 1 (* 1/2 y)))
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) y x)
(* -1 (* x (- (* -1 y) 1)))
(fma.f64 y x x)
(* -1 (* x (- (* -1 (pow y 2)) 1)))
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(* -1 (* x (- (* y (- (* -1/2 y) 1)) 1)))
(*.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal 1 binary64)) y #s(literal 1 binary64)) x)
(* -1 (* x (- (* -1/2 y) 1)))
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) y x)
x
(+ x (* x y))
(fma.f64 y x x)
(+ x (* y (+ x (* 1/2 (* x y)))))
(*.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal 1 binary64)) y #s(literal 1 binary64)) x)
(+ x (* y (+ x (* y (+ (* 1/6 (* x y)) (* 1/2 x))))))
(fma.f64 (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)))
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(+ x (* (pow y 2) (+ x (* 1/2 (* x (pow y 2))))))
(fma.f64 (*.f64 y x) (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1/2 binary64) 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)) (*.f64 (fma.f64 y y #s(literal 1 binary64)) x))
(pow y 2)
(*.f64 y y)
(+ x (* 1/2 (* x y)))
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) y 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))
(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))
(* y (+ x (/ x y)))
(fma.f64 y x x)
(* (pow y 2) (+ x (/ x (pow y 2))))
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(* 1/2 (* x (pow y 2)))
(*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) y) y) x)
(* (pow y 2) (+ (* 1/2 x) (/ x y)))
(*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) y) y y) x)
(* (pow y 2) (+ (* 1/2 x) (+ (/ x y) (/ x (pow y 2)))))
(*.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal 1 binary64)) y #s(literal 1 binary64)) x)
(* 1/2 (* x y))
(*.f64 (*.f64 #s(literal 1/2 binary64) y) x)
(* y (+ (* 1/2 x) (/ x y)))
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) y x)
(* 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 (* (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))
(* -1 (* y (+ (* -1 x) (* -1 (/ x y)))))
(fma.f64 y x x)
(* (pow y 2) (+ (* -1 (/ (+ (* -1 x) (* -1 (/ x y))) y)) (* 1/2 x)))
(*.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal 1 binary64)) y #s(literal 1 binary64)) x)
(* -1 (* y (+ (* -1 (/ x y)) (* -1/2 x))))
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) y x)

rewrite223.0ms (1.1%)

Memory
-2.0MiB live, 315.9MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
029154
047152
1171152
21050152
08157152
Stop Event
iter limit
node limit
iter limit
Counts
17 → 339
Calls
Call 1
Inputs
(*.f64 x #s(approx (exp y) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y #s(literal 1 binary64))))
#s(approx (exp y) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y #s(literal 1 binary64)))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y #s(literal 1 binary64))
(fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64))
#s(approx (* x (exp y)) (fma.f64 y x x))
(fma.f64 y x x)
#s(approx (* x (exp (* y y))) #s(approx (+ (* (* y y) x) x) (*.f64 (*.f64 y y) x)))
#s(approx (+ (* (* y y) x) x) (*.f64 (*.f64 y y) x))
(*.f64 (*.f64 y y) x)
(*.f64 y y)
#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 y x) y x))
(fma.f64 (*.f64 y x) y x)
(*.f64 y x)
#s(approx (* x (exp y)) (fma.f64 (fma.f64 (*.f64 y x) #s(literal 1/2 binary64) x) y x))
(fma.f64 (fma.f64 (*.f64 y x) #s(literal 1/2 binary64) x) y x)
(fma.f64 (*.f64 y x) #s(literal 1/2 binary64) x)
(fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64))
Outputs
(*.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)
(*.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)))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y))))
(*.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y) #s(literal 2 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (neg.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)))))
(*.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y) #s(literal 3 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y)))))
(*.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y) #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.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)) #s(literal -1 binary64)))
(*.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y) #s(literal 3 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y) #s(literal 2 binary64)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y)))))
(*.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y) #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 (-.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.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(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)))
(pow.f64 (/.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))) #s(literal -1 binary64))
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y) #s(literal 2 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 (pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y) #s(literal 2 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 (pow.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)) #s(literal -1 binary64)) (pow.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)) #s(literal -1 binary64)))) (+.f64 (/.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y) #s(literal 2 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))) (pow.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)) #s(literal -1 binary64))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y) #s(literal 2 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))) #s(literal 3 binary64)) (pow.f64 (pow.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)) #s(literal -1 binary64)) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y) #s(literal 2 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 (pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y) #s(literal 2 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 (pow.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)) #s(literal -1 binary64)) (pow.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)) #s(literal -1 binary64)) (*.f64 (/.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y) #s(literal 2 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))) (pow.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)) #s(literal -1 binary64))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y) #s(literal 2 binary64)) #s(literal 1 binary64)))) (neg.f64 (neg.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)))))
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y) #s(literal 3 binary64)) #s(literal 1 binary64)))) (neg.f64 (neg.f64 (-.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y)))))
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(/.f64 (-.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 (*.f64 #s(literal 1/36 binary64) (*.f64 y y)) (fma.f64 #s(literal 1/6 binary64) y #s(literal -1/2 binary64)))) (*.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 1/6 binary64) y #s(literal -1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 1/6 binary64) y #s(literal -1/2 binary64))))) (+.f64 (/.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 y y)) (fma.f64 #s(literal 1/6 binary64) y #s(literal -1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 1/6 binary64) y #s(literal -1/2 binary64)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 y y)) (fma.f64 #s(literal 1/6 binary64) y #s(literal -1/2 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 1/6 binary64) y #s(literal -1/2 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 y y)) (fma.f64 #s(literal 1/6 binary64) y #s(literal -1/2 binary64))) (/.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 y y)) (fma.f64 #s(literal 1/6 binary64) y #s(literal -1/2 binary64))) (fma.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 1/6 binary64) y #s(literal -1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 1/6 binary64) y #s(literal -1/2 binary64))) (*.f64 (/.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 y y)) (fma.f64 #s(literal 1/6 binary64) y #s(literal -1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 1/6 binary64) y #s(literal -1/2 binary64)))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/36 binary64) (*.f64 y y)))) (neg.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) y))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 y y) #s(literal -1/4 binary64)))) (neg.f64 (neg.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal -1/2 binary64)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 1/216 binary64) (pow.f64 y #s(literal 3 binary64)) #s(literal 1/8 binary64)))) (neg.f64 (neg.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 y y) (-.f64 #s(literal 1/4 binary64) (*.f64 y #s(literal 1/12 binary64)))))))
(/.f64 (*.f64 (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)) (+.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 y y) #s(literal 1/144 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 #s(literal 1/36 binary64) (*.f64 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 9 binary64)) #s(literal 1/512 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 #s(literal 1/36 binary64) (*.f64 y y) (-.f64 #s(literal 1/4 binary64) (*.f64 y #s(literal 1/12 binary64))))))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 y y)) (fma.f64 #s(literal 1/6 binary64) y #s(literal -1/2 binary64))) (*.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal -1/2 binary64)) #s(literal 1/4 binary64))) (*.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/6 binary64) y #s(literal -1/2 binary64))))
(/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/36 binary64) (*.f64 y y))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) y)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 y y) #s(literal -1/4 binary64))) (neg.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal -1/2 binary64))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/216 binary64) (pow.f64 y #s(literal 3 binary64)) #s(literal 1/8 binary64))) (neg.f64 (+.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 1/36 binary64) (*.f64 y y) (*.f64 (neg.f64 y) #s(literal 1/12 binary64))))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/216 binary64) (pow.f64 y #s(literal 3 binary64)) #s(literal 1/8 binary64))) (neg.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 y y) (-.f64 #s(literal 1/4 binary64) (*.f64 y #s(literal 1/12 binary64))))))
(/.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)) (+.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 1/36 binary64) (*.f64 y y) (*.f64 (neg.f64 y) #s(literal 1/12 binary64)))))
(/.f64 (fma.f64 #s(literal 1/216 binary64) (pow.f64 y #s(literal 3 binary64)) #s(literal 1/8 binary64)) (fma.f64 #s(literal 1/36 binary64) (*.f64 y y) (-.f64 #s(literal 1/4 binary64) (*.f64 y #s(literal 1/12 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.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 1/4 binary64) (fma.f64 #s(literal 1/36 binary64) (*.f64 y y) (*.f64 (neg.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))))
(/.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))))
(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 #s(literal 1/6 binary64) y #s(literal 1/2 binary64))
(fma.f64 y #s(literal 1/6 binary64) #s(literal 1/2 binary64))
(-.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) y))) (/.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 y y)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) y))))
(-.f64 (/.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 y y)) (fma.f64 #s(literal 1/6 binary64) y #s(literal -1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 1/6 binary64) y #s(literal -1/2 binary64))))
(+.f64 (/.f64 (*.f64 #s(literal 1/36 binary64) (*.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)))))
(+.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))

eval48.0ms (0.2%)

Memory
18.9MiB live, 105.4MiB allocated
Compiler

Compiled 11 242 to 1 663 computations (85.2% saved)

prune19.0ms (0.1%)

Memory
-26.2MiB live, 51.0MiB allocated
Pruning

19 alts after pruning (11 fresh and 8 done)

PrunedKeptTotal
New36211373
Fresh000
Picked145
Done044
Total36319382
Accuracy
100.0%
Counts
382 → 19
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(*.f64 x (exp.f64 (*.f64 y y)))
98.3%
(*.f64 x (exp.f64 y))
82.2%
(*.f64 x #s(approx (exp (* y y)) (fma.f64 y y #s(literal 1 binary64))))
45.8%
(*.f64 x #s(approx (exp (* y y)) #s(literal 1 binary64)))
87.4%
(*.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))))
59.3%
(*.f64 x #s(approx (exp y) (fma.f64 (fma.f64 (/.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)))) y #s(literal 1 binary64)) y #s(literal 1 binary64))))
88.1%
(*.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))))
88.0%
(*.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))))
47.0%
(*.f64 x #s(approx (exp y) #s(approx (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) (*.f64 y y) y))))
46.4%
(*.f64 x #s(approx (exp y) #s(approx (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (*.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) (*.f64 y y)))))
89.4%
#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 y x) (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1/2 binary64) y) x))
74.8%
#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 y x) y x))
40.1%
#s(approx (* x (exp (* y y))) #s(approx (+ (* (* y y) x) x) (*.f64 (*.f64 y y) x)))
32.8%
#s(approx (* x (exp (* y y))) #s(approx (+ (* (* y y) x) x) (*.f64 (*.f64 y x) y)))
73.8%
#s(approx (* x (exp y)) (fma.f64 (fma.f64 (*.f64 y x) #s(literal 1/2 binary64) x) y x))
83.0%
#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))
60.2%
#s(approx (* x (exp y)) (fma.f64 y x x))
48.2%
#s(approx (* x (exp y)) (/.f64 (*.f64 x (-.f64 x (*.f64 (*.f64 y y) x))) (-.f64 x (*.f64 y x))))
60.2%
#s(approx (* x (exp y)) (+.f64 (*.f64 y x) x))
Compiler

Compiled 579 to 390 computations (32.6% saved)

simplify38.0ms (0.2%)

Memory
2.4MiB live, 86.3MiB allocated
Algorithm
egg-herbie
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 x (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)))
cost-diff0
(fma.f64 (*.f64 x (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64))) y x)
cost-diff0
(fma.f64 (fma.f64 (*.f64 x (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64))) y x) y x)
cost-diff0
#s(approx (* x (exp y)) (fma.f64 (fma.f64 (*.f64 x (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64))) y x) y x))
cost-diff0
(fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) (*.f64 y y) y)
cost-diff0
#s(approx (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) (*.f64 y y) y))
cost-diff0
#s(approx (exp y) #s(approx (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) (*.f64 y y) y)))
cost-diff0
(*.f64 x #s(approx (exp y) #s(approx (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) (*.f64 y y) y))))
cost-diff0
(*.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) (*.f64 y y))
cost-diff0
#s(approx (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (*.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) (*.f64 y y)))
cost-diff0
#s(approx (exp y) #s(approx (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (*.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) (*.f64 y y))))
cost-diff0
(*.f64 x #s(approx (exp y) #s(approx (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (*.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) (*.f64 y y)))))
cost-diff0
(*.f64 y x)
cost-diff0
#s(approx (* x (exp y)) (+.f64 (*.f64 y x) x))
cost-diff128
(+.f64 (*.f64 y x) x)
cost-diff0
(fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1/2 binary64) y)
cost-diff0
(*.f64 y x)
cost-diff0
(fma.f64 (*.f64 y x) (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1/2 binary64) y) x)
cost-diff0
#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 y x) (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1/2 binary64) y) x))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
038301
056301
1102295
2208295
3476295
4838295
51043295
61140295
71140295
81140295
91164295
101164295
01164287
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 y x) (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1/2 binary64) y) x))
(fma.f64 (*.f64 y x) (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1/2 binary64) y) x)
(*.f64 y x)
y
x
(fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1/2 binary64) y)
(pow.f64 y #s(literal 3 binary64))
#s(literal 3 binary64)
#s(literal 1/2 binary64)
#s(approx (* x (exp y)) (+.f64 (*.f64 y x) x))
(+.f64 (*.f64 y x) x)
(*.f64 y x)
y
x
(*.f64 x #s(approx (exp y) #s(approx (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (*.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) (*.f64 y y)))))
x
#s(approx (exp y) #s(approx (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (*.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) (*.f64 y y))))
#s(approx (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (*.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) (*.f64 y y)))
(*.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) (*.f64 y y))
(fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64))
#s(literal 1/6 binary64)
y
#s(literal 1/2 binary64)
(*.f64 y y)
(*.f64 x #s(approx (exp y) #s(approx (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) (*.f64 y y) y))))
x
#s(approx (exp y) #s(approx (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) (*.f64 y y) y)))
#s(approx (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) (*.f64 y y) y))
(fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) (*.f64 y y) y)
(fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64))
#s(literal 1/6 binary64)
y
#s(literal 1/2 binary64)
(*.f64 y y)
#s(approx (* x (exp y)) (fma.f64 (fma.f64 (*.f64 x (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64))) y x) y x))
(fma.f64 (fma.f64 (*.f64 x (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64))) y x) y x)
(fma.f64 (*.f64 x (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64))) y x)
(*.f64 x (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)))
x
(fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64))
#s(literal 1/6 binary64)
y
#s(literal 1/2 binary64)
Outputs
#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 y x) (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1/2 binary64) y) x))
#s(approx (* x (exp (* y y))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 y #s(literal 3 binary64)) y) (*.f64 y x) x))
(fma.f64 (*.f64 y x) (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1/2 binary64) y) x)
(fma.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 y #s(literal 3 binary64)) y) (*.f64 y x) x)
(*.f64 y x)
y
x
(fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1/2 binary64) y)
(fma.f64 #s(literal 1/2 binary64) (pow.f64 y #s(literal 3 binary64)) y)
(pow.f64 y #s(literal 3 binary64))
#s(literal 3 binary64)
#s(literal 1/2 binary64)
#s(approx (* x (exp y)) (+.f64 (*.f64 y x) x))
#s(approx (* x (exp y)) (fma.f64 y x x))
(+.f64 (*.f64 y x) x)
(fma.f64 y x x)
(*.f64 y x)
y
x
(*.f64 x #s(approx (exp y) #s(approx (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (*.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) (*.f64 y y)))))
(*.f64 #s(approx (exp y) #s(approx (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (*.f64 (*.f64 y y) (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64))))) x)
x
#s(approx (exp y) #s(approx (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (*.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) (*.f64 y y))))
#s(approx (exp y) #s(approx (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (*.f64 (*.f64 y y) (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)))))
#s(approx (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (*.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) (*.f64 y y)))
#s(approx (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (*.f64 (*.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)) (*.f64 y y))
(*.f64 (*.f64 y 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)
y
#s(literal 1/2 binary64)
(*.f64 y y)
(*.f64 x #s(approx (exp y) #s(approx (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) (*.f64 y y) y))))
(*.f64 #s(approx (exp y) #s(approx (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (fma.f64 (*.f64 y y) (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y))) x)
x
#s(approx (exp y) #s(approx (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) (*.f64 y y) y)))
#s(approx (exp y) #s(approx (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (fma.f64 (*.f64 y y) (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y)))
#s(approx (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) (*.f64 y y) y))
#s(approx (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (fma.f64 (*.f64 y y) (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y))
(fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) (*.f64 y y) y)
(fma.f64 (*.f64 y y) (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)
(*.f64 y y)
#s(approx (* x (exp y)) (fma.f64 (fma.f64 (*.f64 x (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64))) y x) y x))
#s(approx (* x (exp y)) (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) x) y x) y x))
(fma.f64 (fma.f64 (*.f64 x (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64))) y x) y x)
(fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) x) y x) y x)
(fma.f64 (*.f64 x (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64))) y x)
(fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) x) y x)
(*.f64 x (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)))
(*.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) x)
x
(fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64))
#s(literal 1/6 binary64)
y
#s(literal 1/2 binary64)

localize156.0ms (0.7%)

Memory
5.3MiB live, 163.7MiB allocated
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
accuracy0.0703125
(fma.f64 (*.f64 x (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64))) y x)
accuracy0.09375
(*.f64 x (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)))
accuracy0.2109375
(fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64))
accuracy10.123674048443355
#s(approx (* x (exp y)) (fma.f64 (fma.f64 (*.f64 x (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64))) y x) y x))
accuracy0.0703125
(fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) (*.f64 y y) y)
accuracy0.2109375
(fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64))
accuracy9.298564173717734
#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)))
accuracy27.07846391930511
#s(approx (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) (*.f64 y y) y))
accuracy0.0859375
(*.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) (*.f64 y y))
accuracy0.2109375
(fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64))
accuracy9.298564173717734
#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))))
accuracy27.445626916874446
#s(approx (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (*.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) (*.f64 y y)))
accuracy0.0
(*.f64 y x)
accuracy0.01171875
(+.f64 (*.f64 y x) x)
accuracy25.079225505672245
#s(approx (* x (exp y)) (+.f64 (*.f64 y x) x))
accuracy0.0
(pow.f64 y #s(literal 3 binary64))
accuracy0.0
(*.f64 y x)
accuracy0.9613576752481585
(fma.f64 (*.f64 y x) (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1/2 binary64) y) x)
accuracy7.7059825343086255
#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 y x) (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1/2 binary64) y) x))
Samples
107.0ms256×0valid
Compiler

Compiled 487 to 73 computations (85% saved)

Precisions
Click to see histograms. Total time spent on operations: 91.0ms
ival-mult: 70.0ms (77.3% of total)
ival-add: 9.0ms (9.9% of total)
ival-exp: 5.0ms (5.5% of total)
const: 3.0ms (3.3% of total)
ival-pow: 3.0ms (3.3% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series45.0ms (0.2%)

Memory
-5.8MiB live, 32.4MiB allocated
Counts
20 → 66
Calls
Call 1
Inputs
#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 y x) (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1/2 binary64) y) x))
(fma.f64 (*.f64 y x) (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1/2 binary64) y) x)
(*.f64 y x)
(fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1/2 binary64) y)
(+.f64 (*.f64 y x) x)
#s(approx (* x (exp y)) (+.f64 (*.f64 y x) x))
(*.f64 x #s(approx (exp y) #s(approx (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (*.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) (*.f64 y y)))))
#s(approx (exp y) #s(approx (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (*.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) (*.f64 y y))))
#s(approx (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (*.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) (*.f64 y y)))
(*.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) (*.f64 y y))
(*.f64 x #s(approx (exp y) #s(approx (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) (*.f64 y y) y))))
#s(approx (exp y) #s(approx (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) (*.f64 y y) y)))
#s(approx (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) (*.f64 y y) y))
(fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) (*.f64 y y) y)
#s(approx (* x (exp y)) (fma.f64 (fma.f64 (*.f64 x (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64))) y x) y x))
(fma.f64 (fma.f64 (*.f64 x (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64))) y x) y x)
(fma.f64 (*.f64 x (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64))) y x)
(*.f64 x (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)))
(pow.f64 y #s(literal 3 binary64))
(fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64))
Outputs
(* x (exp (pow y 2)))
(* x (+ 1 (* y (+ y (* 1/2 (pow y 3))))))
(* x y)
(* x (+ 1 y))
(* x (exp y))
(* x (+ 1 (* y (+ 1 (* y (+ 1/2 (* 1/6 y)))))))
(* x (+ 1 (* y (+ 1/2 (* 1/6 y)))))
(* x (+ 1/2 (* 1/6 y)))
(* -1 (* x (- (* -1 (* y (+ y (* 1/2 (pow y 3))))) 1)))
(* -1 (* x (- (* -1 y) 1)))
(* -1 (* x (- (* y (- (* -1 (* y (+ 1/2 (* 1/6 y)))) 1)) 1)))
(* -1 (* x (- (* -1 (* y (+ 1/2 (* 1/6 y)))) 1)))
x
(+ x (* x (pow y 2)))
(+ x (* (pow y 2) (+ x (* 1/2 (* x (pow y 2))))))
(+ x (* (pow y 2) (+ x (* (pow y 2) (+ (* 1/6 (* x (pow y 2))) (* 1/2 x))))))
y
(* y (+ 1 (* 1/2 (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
(+ 1 y)
(+ 1 (* y (+ 1 (* 1/2 y))))
(+ 1 (* y (+ 1 (* y (+ 1/2 (* 1/6 y))))))
(* 1/2 (pow y 2))
(* (pow y 2) (+ 1/2 (* 1/6 y)))
(* y (+ 1 (* 1/2 y)))
(* y (+ 1 (* y (+ 1/2 (* 1/6 y)))))
(+ x (* 1/2 (* x y)))
(+ x (* y (+ (* 1/6 (* x y)) (* 1/2 x))))
(* 1/2 x)
(+ (* 1/6 (* x y)) (* 1/2 x))
(pow y 3)
1/2
(+ 1/2 (* 1/6 y))
(* 1/2 (* x (pow y 4)))
(* (pow y 4) (+ (* 1/2 x) (/ x (pow y 2))))
(* (pow y 4) (+ (* 1/2 x) (+ (/ x (pow y 2)) (/ x (pow y 4)))))
(* 1/2 (pow y 3))
(* (pow y 3) (+ 1/2 (/ 1 (pow y 2))))
(* y (+ x (/ x y)))
(exp y)
(* 1/6 (pow y 3))
(* (pow y 3) (+ 1/6 (* 1/2 (/ 1 y))))
(* (pow y 3) (+ 1/6 (+ (* 1/2 (/ 1 y)) (/ 1 (pow y 2)))))
(* (pow y 3) (+ 1/6 (+ (* 1/2 (/ 1 y)) (+ (/ 1 (pow y 2)) (/ 1 (pow y 3))))))
(* 1/6 (* x (pow y 3)))
(* (pow y 3) (+ (* 1/6 x) (* 1/2 (/ x y))))
(* (pow y 3) (+ (* 1/6 x) (+ (* 1/2 (/ x y)) (/ x (pow y 2)))))
(* (pow y 3) (+ (* 1/6 x) (+ (* 1/2 (/ x y)) (+ (/ x (pow y 2)) (/ x (pow y 3))))))
(* 1/6 (* x (pow y 2)))
(* (pow y 2) (+ (* 1/6 x) (* 1/2 (/ x y))))
(* (pow y 2) (+ (* 1/6 x) (+ (* 1/2 (/ x y)) (/ x (pow y 2)))))
(* 1/6 (* x y))
(* y (+ (* 1/6 x) (* 1/2 (/ x y))))
(* 1/6 y)
(* y (+ 1/6 (* 1/2 (/ 1 y))))
(* -1 (* y (+ (* -1 x) (* -1 (/ x y)))))
(* -1 (* (pow y 3) (- (* -1 (/ (+ 1/2 (/ 1 y)) y)) 1/6)))
(* -1 (* (pow y 3) (- (* -1 (/ (+ 1/2 (+ (/ 1 y) (/ 1 (pow y 2)))) y)) 1/6)))
(* -1 (* (pow y 3) (+ (* -1/2 (/ x y)) (* -1/6 x))))
(* -1 (* (pow y 3) (+ (* -1 (/ (+ (* 1/2 x) (/ x y)) y)) (* -1/6 x))))
(* -1 (* (pow y 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 x) (* -1 (/ x y))) y)) (* 1/2 x)) y)) (* -1/6 x))))
(* (pow y 2) (+ (* -1 (/ (+ (* -1 (/ x y)) (* -1/2 x)) y)) (* 1/6 x)))
(* -1 (* y (+ (* -1/2 (/ x y)) (* -1/6 x))))
Calls

6 calls:

TimeVariablePointExpression
26.0ms
y
@inf
((* x (exp (* y y))) (+ (* (* y x) (+ (* (pow y 3) 1/2) y)) x) (* y x) (+ (* (pow y 3) 1/2) y) (+ (* y x) x) (* x (exp y)) (* x (exp y)) (exp y) (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (* (+ (* 1/6 y) 1/2) (* y y)) (* x (exp y)) (exp y) (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (+ (* (+ (* 1/6 y) 1/2) (* y y)) y) (* x (exp y)) (+ (* (+ (* (* x (+ (* 1/6 y) 1/2)) y) x) y) x) (+ (* (* x (+ (* 1/6 y) 1/2)) y) x) (* x (+ (* 1/6 y) 1/2)) (pow y 3) (+ (* 1/6 y) 1/2))
5.0ms
x
@inf
((* x (exp (* y y))) (+ (* (* y x) (+ (* (pow y 3) 1/2) y)) x) (* y x) (+ (* (pow y 3) 1/2) y) (+ (* y x) x) (* x (exp y)) (* x (exp y)) (exp y) (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (* (+ (* 1/6 y) 1/2) (* y y)) (* x (exp y)) (exp y) (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (+ (* (+ (* 1/6 y) 1/2) (* y y)) y) (* x (exp y)) (+ (* (+ (* (* x (+ (* 1/6 y) 1/2)) y) x) y) x) (+ (* (* x (+ (* 1/6 y) 1/2)) y) x) (* x (+ (* 1/6 y) 1/2)) (pow y 3) (+ (* 1/6 y) 1/2))
4.0ms
x
@0
((* x (exp (* y y))) (+ (* (* y x) (+ (* (pow y 3) 1/2) y)) x) (* y x) (+ (* (pow y 3) 1/2) y) (+ (* y x) x) (* x (exp y)) (* x (exp y)) (exp y) (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (* (+ (* 1/6 y) 1/2) (* y y)) (* x (exp y)) (exp y) (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (+ (* (+ (* 1/6 y) 1/2) (* y y)) y) (* x (exp y)) (+ (* (+ (* (* x (+ (* 1/6 y) 1/2)) y) x) y) x) (+ (* (* x (+ (* 1/6 y) 1/2)) y) x) (* x (+ (* 1/6 y) 1/2)) (pow y 3) (+ (* 1/6 y) 1/2))
4.0ms
x
@-inf
((* x (exp (* y y))) (+ (* (* y x) (+ (* (pow y 3) 1/2) y)) x) (* y x) (+ (* (pow y 3) 1/2) y) (+ (* y x) x) (* x (exp y)) (* x (exp y)) (exp y) (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (* (+ (* 1/6 y) 1/2) (* y y)) (* x (exp y)) (exp y) (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (+ (* (+ (* 1/6 y) 1/2) (* y y)) y) (* x (exp y)) (+ (* (+ (* (* x (+ (* 1/6 y) 1/2)) y) x) y) x) (+ (* (* x (+ (* 1/6 y) 1/2)) y) x) (* x (+ (* 1/6 y) 1/2)) (pow y 3) (+ (* 1/6 y) 1/2))
3.0ms
y
@-inf
((* x (exp (* y y))) (+ (* (* y x) (+ (* (pow y 3) 1/2) y)) x) (* y x) (+ (* (pow y 3) 1/2) y) (+ (* y x) x) (* x (exp y)) (* x (exp y)) (exp y) (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (* (+ (* 1/6 y) 1/2) (* y y)) (* x (exp y)) (exp y) (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (+ (* (+ (* 1/6 y) 1/2) (* y y)) y) (* x (exp y)) (+ (* (+ (* (* x (+ (* 1/6 y) 1/2)) y) x) y) x) (+ (* (* x (+ (* 1/6 y) 1/2)) y) x) (* x (+ (* 1/6 y) 1/2)) (pow y 3) (+ (* 1/6 y) 1/2))

simplify269.0ms (1.3%)

Memory
11.2MiB live, 165.3MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0174634
1576627
21837604
34770601
08170527
Stop Event
iter limit
node limit
Counts
66 → 64
Calls
Call 1
Inputs
(* x (exp (pow y 2)))
(* x (+ 1 (* y (+ y (* 1/2 (pow y 3))))))
(* x y)
(* x (+ 1 y))
(* x (exp y))
(* x (+ 1 (* y (+ 1 (* y (+ 1/2 (* 1/6 y)))))))
(* x (+ 1 (* y (+ 1/2 (* 1/6 y)))))
(* x (+ 1/2 (* 1/6 y)))
(* -1 (* x (- (* -1 (* y (+ y (* 1/2 (pow y 3))))) 1)))
(* -1 (* x (- (* -1 y) 1)))
(* -1 (* x (- (* y (- (* -1 (* y (+ 1/2 (* 1/6 y)))) 1)) 1)))
(* -1 (* x (- (* -1 (* y (+ 1/2 (* 1/6 y)))) 1)))
x
(+ x (* x (pow y 2)))
(+ x (* (pow y 2) (+ x (* 1/2 (* x (pow y 2))))))
(+ x (* (pow y 2) (+ x (* (pow y 2) (+ (* 1/6 (* x (pow y 2))) (* 1/2 x))))))
y
(* y (+ 1 (* 1/2 (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
(+ 1 y)
(+ 1 (* y (+ 1 (* 1/2 y))))
(+ 1 (* y (+ 1 (* y (+ 1/2 (* 1/6 y))))))
(* 1/2 (pow y 2))
(* (pow y 2) (+ 1/2 (* 1/6 y)))
(* y (+ 1 (* 1/2 y)))
(* y (+ 1 (* y (+ 1/2 (* 1/6 y)))))
(+ x (* 1/2 (* x y)))
(+ x (* y (+ (* 1/6 (* x y)) (* 1/2 x))))
(* 1/2 x)
(+ (* 1/6 (* x y)) (* 1/2 x))
(pow y 3)
1/2
(+ 1/2 (* 1/6 y))
(* 1/2 (* x (pow y 4)))
(* (pow y 4) (+ (* 1/2 x) (/ x (pow y 2))))
(* (pow y 4) (+ (* 1/2 x) (+ (/ x (pow y 2)) (/ x (pow y 4)))))
(* 1/2 (pow y 3))
(* (pow y 3) (+ 1/2 (/ 1 (pow y 2))))
(* y (+ x (/ x y)))
(exp y)
(* 1/6 (pow y 3))
(* (pow y 3) (+ 1/6 (* 1/2 (/ 1 y))))
(* (pow y 3) (+ 1/6 (+ (* 1/2 (/ 1 y)) (/ 1 (pow y 2)))))
(* (pow y 3) (+ 1/6 (+ (* 1/2 (/ 1 y)) (+ (/ 1 (pow y 2)) (/ 1 (pow y 3))))))
(* 1/6 (* x (pow y 3)))
(* (pow y 3) (+ (* 1/6 x) (* 1/2 (/ x y))))
(* (pow y 3) (+ (* 1/6 x) (+ (* 1/2 (/ x y)) (/ x (pow y 2)))))
(* (pow y 3) (+ (* 1/6 x) (+ (* 1/2 (/ x y)) (+ (/ x (pow y 2)) (/ x (pow y 3))))))
(* 1/6 (* x (pow y 2)))
(* (pow y 2) (+ (* 1/6 x) (* 1/2 (/ x y))))
(* (pow y 2) (+ (* 1/6 x) (+ (* 1/2 (/ x y)) (/ x (pow y 2)))))
(* 1/6 (* x y))
(* y (+ (* 1/6 x) (* 1/2 (/ x y))))
(* 1/6 y)
(* y (+ 1/6 (* 1/2 (/ 1 y))))
(* -1 (* y (+ (* -1 x) (* -1 (/ x y)))))
(* -1 (* (pow y 3) (- (* -1 (/ (+ 1/2 (/ 1 y)) y)) 1/6)))
(* -1 (* (pow y 3) (- (* -1 (/ (+ 1/2 (+ (/ 1 y) (/ 1 (pow y 2)))) y)) 1/6)))
(* -1 (* (pow y 3) (+ (* -1/2 (/ x y)) (* -1/6 x))))
(* -1 (* (pow y 3) (+ (* -1 (/ (+ (* 1/2 x) (/ x y)) y)) (* -1/6 x))))
(* -1 (* (pow y 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 x) (* -1 (/ x y))) y)) (* 1/2 x)) y)) (* -1/6 x))))
(* (pow y 2) (+ (* -1 (/ (+ (* -1 (/ x y)) (* -1/2 x)) y)) (* 1/6 x)))
(* -1 (* y (+ (* -1/2 (/ x y)) (* -1/6 x))))
Outputs
(* x (exp (pow y 2)))
(*.f64 (pow.f64 (exp.f64 y) y) x)
(* x (+ 1 (* y (+ y (* 1/2 (pow y 3))))))
(*.f64 (fma.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1/2 binary64) y) y #s(literal 1 binary64)) x)
(* x y)
(*.f64 y x)
(* x (+ 1 y))
(fma.f64 y x x)
(* x (exp y))
(*.f64 (exp.f64 y) x)
(* x (+ 1 (* y (+ 1 (* y (+ 1/2 (* 1/6 y)))))))
(fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) x) y x)
(* x (+ 1 (* y (+ 1/2 (* 1/6 y)))))
(*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) x)
(* x (+ 1/2 (* 1/6 y)))
(*.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) x)
(* -1 (* x (- (* -1 (* y (+ y (* 1/2 (pow y 3))))) 1)))
(*.f64 (fma.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1/2 binary64) y) y #s(literal 1 binary64)) x)
(* -1 (* x (- (* -1 y) 1)))
(fma.f64 y x x)
(* -1 (* x (- (* y (- (* -1 (* y (+ 1/2 (* 1/6 y)))) 1)) 1)))
(fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) x) y x)
(* -1 (* x (- (* -1 (* y (+ 1/2 (* 1/6 y)))) 1)))
(*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) x)
x
(+ x (* x (pow y 2)))
(fma.f64 (*.f64 y x) y x)
(+ x (* (pow y 2) (+ x (* 1/2 (* x (pow y 2))))))
(*.f64 (fma.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1/2 binary64) 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 4 binary64)) (*.f64 x (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (fma.f64 (*.f64 y x) y x))
y
(* y (+ 1 (* 1/2 (pow y 2))))
(fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1/2 binary64) y)
(+ 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 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) x) y x)
1
#s(literal 1 binary64)
(+ 1 y)
(-.f64 y #s(literal -1 binary64))
(+ 1 (* y (+ 1 (* 1/2 y))))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal 1 binary64)) y #s(literal 1 binary64))
(+ 1 (* y (+ 1 (* y (+ 1/2 (* 1/6 y))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y #s(literal 1 binary64))
(* 1/2 (pow y 2))
(*.f64 (*.f64 y y) #s(literal 1/2 binary64))
(* (pow y 2) (+ 1/2 (* 1/6 y)))
(*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y) y)
(* y (+ 1 (* 1/2 y)))
(*.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal 1 binary64)) y)
(* y (+ 1 (* y (+ 1/2 (* 1/6 y)))))
(*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y)
(+ x (* 1/2 (* x y)))
(fma.f64 (*.f64 y x) #s(literal 1/2 binary64) x)
(+ x (* y (+ (* 1/6 (* x y)) (* 1/2 x))))
(*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(+ (* 1/6 (* x y)) (* 1/2 x))
(*.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) x)
(pow y 3)
(pow.f64 y #s(literal 3 binary64))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* 1/6 y))
(fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64))
(* 1/2 (* x (pow y 4)))
(*.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) x) #s(literal 1/2 binary64))
(* (pow y 4) (+ (* 1/2 x) (/ x (pow y 2))))
(*.f64 (fma.f64 #s(literal 1/2 binary64) x (/.f64 x (*.f64 y y))) (pow.f64 y #s(literal 4 binary64)))
(* (pow y 4) (+ (* 1/2 x) (+ (/ x (pow y 2)) (/ x (pow y 4)))))
(*.f64 (fma.f64 #s(literal 1/2 binary64) x (+.f64 (/.f64 x (pow.f64 y #s(literal 4 binary64))) (/.f64 x (*.f64 y y)))) (pow.f64 y #s(literal 4 binary64)))
(* 1/2 (pow y 3))
(*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1/2 binary64))
(* (pow y 3) (+ 1/2 (/ 1 (pow y 2))))
(fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1/2 binary64) y)
(* 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 (*.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y) y)
(* (pow y 3) (+ 1/6 (+ (* 1/2 (/ 1 y)) (/ 1 (pow y 2)))))
(*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) 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 (* x (pow y 3)))
(*.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) x) #s(literal 1/6 binary64))
(* (pow y 3) (+ (* 1/6 x) (* 1/2 (/ x y))))
(*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y) y) x)
(* (pow y 3) (+ (* 1/6 x) (+ (* 1/2 (/ x y)) (/ x (pow y 2)))))
(*.f64 (fma.f64 #s(literal 1/6 binary64) x (/.f64 (fma.f64 #s(literal 1/2 binary64) x (/.f64 x y)) y)) (pow.f64 y #s(literal 3 binary64)))
(* (pow y 3) (+ (* 1/6 x) (+ (* 1/2 (/ x y)) (+ (/ x (pow y 2)) (/ x (pow y 3))))))
(*.f64 (fma.f64 (/.f64 x y) (+.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1/2 binary64)) (fma.f64 #s(literal 1/6 binary64) x (/.f64 x (pow.f64 y #s(literal 3 binary64))))) (pow.f64 y #s(literal 3 binary64)))
(* 1/6 (* x (pow y 2)))
(*.f64 (*.f64 (*.f64 y x) #s(literal 1/6 binary64)) y)
(* (pow y 2) (+ (* 1/6 x) (* 1/2 (/ x y))))
(*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) x) y)
(* (pow y 2) (+ (* 1/6 x) (+ (* 1/2 (/ x y)) (/ x (pow y 2)))))
(*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) x (/.f64 (fma.f64 #s(literal 1/2 binary64) x (/.f64 x y)) y)) y) y)
(* 1/6 (* x y))
(*.f64 (*.f64 y x) #s(literal 1/6 binary64))
(* y (+ (* 1/6 x) (* 1/2 (/ x y))))
(*.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) x)
(* 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)))
(*.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1/2 binary64)) y) #s(literal -1/6 binary64)) (pow.f64 y #s(literal 3 binary64)))
(* -1 (* (pow y 3) (- (* -1 (/ (+ 1/2 (+ (/ 1 y) (/ 1 (pow y 2)))) y)) 1/6)))
(*.f64 (-.f64 (/.f64 (fma.f64 (-.f64 y #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal 1/2 binary64)) y) #s(literal -1/6 binary64)) (pow.f64 y #s(literal 3 binary64)))
(* -1 (* (pow y 3) (+ (* -1/2 (/ x y)) (* -1/6 x))))
(*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y) y) x)
(* -1 (* (pow y 3) (+ (* -1 (/ (+ (* 1/2 x) (/ x y)) y)) (* -1/6 x))))
(*.f64 (fma.f64 #s(literal 1/6 binary64) x (/.f64 (fma.f64 #s(literal 1/2 binary64) x (/.f64 x y)) y)) (pow.f64 y #s(literal 3 binary64)))
(* -1 (* (pow y 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 x) (* -1 (/ x y))) y)) (* 1/2 x)) y)) (* -1/6 x))))
(*.f64 (fma.f64 #s(literal 1/6 binary64) x (/.f64 (fma.f64 #s(literal 1/2 binary64) x (/.f64 (+.f64 (/.f64 x y) x) y)) y)) (pow.f64 y #s(literal 3 binary64)))
(* (pow y 2) (+ (* -1 (/ (+ (* -1 (/ x y)) (* -1/2 x)) y)) (* 1/6 x)))
(*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) x (/.f64 (fma.f64 #s(literal 1/2 binary64) x (/.f64 x y)) y)) y) y)
(* -1 (* y (+ (* -1/2 (/ x y)) (* -1/6 x))))
(*.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) x)

rewrite348.0ms (1.7%)

Memory
12.0MiB live, 207.5MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
038266
056266
1209260
21499260
08160252
Stop Event
iter limit
node limit
iter limit
Counts
20 → 417
Calls
Call 1
Inputs
#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 y x) (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1/2 binary64) y) x))
(fma.f64 (*.f64 y x) (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1/2 binary64) y) x)
(*.f64 y x)
(fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1/2 binary64) y)
(+.f64 (*.f64 y x) x)
#s(approx (* x (exp y)) (+.f64 (*.f64 y x) x))
(*.f64 x #s(approx (exp y) #s(approx (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (*.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) (*.f64 y y)))))
#s(approx (exp y) #s(approx (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (*.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) (*.f64 y y))))
#s(approx (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (*.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) (*.f64 y y)))
(*.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) (*.f64 y y))
(*.f64 x #s(approx (exp y) #s(approx (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) (*.f64 y y) y))))
#s(approx (exp y) #s(approx (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) (*.f64 y y) y)))
#s(approx (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) (*.f64 y y) y))
(fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) (*.f64 y y) y)
#s(approx (* x (exp y)) (fma.f64 (fma.f64 (*.f64 x (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64))) y x) y x))
(fma.f64 (fma.f64 (*.f64 x (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64))) y x) y x)
(fma.f64 (*.f64 x (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64))) y x)
(*.f64 x (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)))
(pow.f64 y #s(literal 3 binary64))
(fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64))
Outputs
#s(approx (* x (exp (* y y))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 y #s(literal 3 binary64)) y) (*.f64 y x) x))
(*.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 y #s(literal 3 binary64)) y) y) x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 y #s(literal 3 binary64)) y) y) x))))
(*.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 y #s(literal 3 binary64)) y) y) x) #s(literal 2 binary64)) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 y #s(literal 3 binary64)) y) y) x (neg.f64 x)))))
(*.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 y #s(literal 3 binary64)) y) y) x) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 x (-.f64 x (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 y #s(literal 3 binary64)) y) y) x)) (pow.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 y #s(literal 3 binary64)) y) y) x) #s(literal 2 binary64))))))
(*.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 y #s(literal 3 binary64)) y) y) x) #s(literal 2 binary64)) (*.f64 x x)) (pow.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 y #s(literal 3 binary64)) y) y) x (neg.f64 x)) #s(literal -1 binary64)))
(*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 y #s(literal 3 binary64)) y) y) x) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x x (-.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 y #s(literal 3 binary64)) y) y) x) #s(literal 2 binary64)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 y #s(literal 3 binary64)) y) (*.f64 (*.f64 y x) x))))))
(*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 y #s(literal 3 binary64)) y) y) x) #s(literal 3 binary64))) (pow.f64 (fma.f64 x (-.f64 x (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 y #s(literal 3 binary64)) y) y) x)) (pow.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 y #s(literal 3 binary64)) y) y) x) #s(literal 2 binary64))) #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 y #s(literal 3 binary64)) y) (*.f64 y x) x))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 y #s(literal 3 binary64)) y) (*.f64 y x) x)) #s(literal -1 binary64))
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 y #s(literal 3 binary64)) y) y) x) #s(literal 2 binary64)) (fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 y #s(literal 3 binary64)) y) y) x (neg.f64 x))) (/.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 y #s(literal 3 binary64)) y) y) x) #s(literal 2 binary64)) (fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 y #s(literal 3 binary64)) y) y) x (neg.f64 x)))) (*.f64 (/.f64 (*.f64 x x) (fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 y #s(literal 3 binary64)) y) y) x (neg.f64 x))) (/.f64 (*.f64 x x) (fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 y #s(literal 3 binary64)) y) y) x (neg.f64 x))))) (+.f64 (/.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 y #s(literal 3 binary64)) y) y) x) #s(literal 2 binary64)) (fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 y #s(literal 3 binary64)) y) y) x (neg.f64 x))) (/.f64 (*.f64 x x) (fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 y #s(literal 3 binary64)) y) y) x (neg.f64 x)))))
(/.f64 (-.f64 (*.f64 (+.f64 x (*.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 y #s(literal 4 binary64))) x)) (+.f64 x (*.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 y #s(literal 4 binary64))) x))) (pow.f64 (*.f64 (*.f64 y y) x) #s(literal 2 binary64))) (-.f64 (+.f64 x (*.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 y #s(literal 4 binary64))) x)) (*.f64 (*.f64 y y) x)))
(/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 y #s(literal 4 binary64))) x) #s(literal 2 binary64)) (*.f64 (fma.f64 (*.f64 y y) x x) (fma.f64 (*.f64 y y) x x))) (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 y #s(literal 4 binary64))) x) (fma.f64 (*.f64 y y) x x)))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 y #s(literal 3 binary64)) y) y) x) #s(literal 2 binary64)) (fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 y #s(literal 3 binary64)) y) y) x (neg.f64 x))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 x x) (fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 y #s(literal 3 binary64)) y) y) x (neg.f64 x))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 y #s(literal 3 binary64)) y) y) x) #s(literal 2 binary64)) (fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 y #s(literal 3 binary64)) y) y) x (neg.f64 x))) (/.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 y #s(literal 3 binary64)) y) y) x) #s(literal 2 binary64)) (fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 y #s(literal 3 binary64)) y) y) x (neg.f64 x))) (fma.f64 (/.f64 (*.f64 x x) (fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 y #s(literal 3 binary64)) y) y) x (neg.f64 x))) (/.f64 (*.f64 x x) (fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 y #s(literal 3 binary64)) y) y) x (neg.f64 x))) (*.f64 (/.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 y #s(literal 3 binary64)) y) y) x) #s(literal 2 binary64)) (fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 y #s(literal 3 binary64)) y) y) x (neg.f64 x))) (/.f64 (*.f64 x x) (fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 y #s(literal 3 binary64)) y) y) x (neg.f64 x)))))))
(/.f64 (+.f64 (pow.f64 (+.f64 x (*.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 y #s(literal 4 binary64))) x)) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 y y) x) #s(literal 3 binary64))) (fma.f64 (+.f64 x (*.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 y #s(literal 4 binary64))) x)) (+.f64 x (*.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 y #s(literal 4 binary64))) x)) (-.f64 (pow.f64 (*.f64 (*.f64 y y) x) #s(literal 2 binary64)) (*.f64 (+.f64 x (*.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 y #s(literal 4 binary64))) x)) (*.f64 (*.f64 y y) x)))))
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 y #s(literal 4 binary64))) x) #s(literal 3 binary64)) (pow.f64 (fma.f64 (*.f64 y y) x x) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 y #s(literal 4 binary64))) x) #s(literal 2 binary64)) (-.f64 (*.f64 (fma.f64 (*.f64 y y) x x) (fma.f64 (*.f64 y y) x x)) (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 y #s(literal 4 binary64))) x) (fma.f64 (*.f64 y y) x x)))))
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(/.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 x x)) (*.f64 #s(literal 1/36 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))) (-.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 (*.f64 #s(literal 1/6 binary64) y) x)))
(/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64)) (*.f64 #s(literal 1/216 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64)))) (fma.f64 #s(literal 1/4 binary64) (*.f64 x x) (-.f64 (*.f64 #s(literal 1/36 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (*.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 (*.f64 #s(literal 1/6 binary64) y) x)))))
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(/.f64 (neg.f64 (*.f64 x (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 (*.f64 x (fma.f64 #s(literal 1/216 binary64) (pow.f64 y #s(literal 3 binary64)) #s(literal 1/8 binary64)))) (neg.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 y y) (-.f64 #s(literal 1/4 binary64) (*.f64 y #s(literal 1/12 binary64))))))
(/.f64 (neg.f64 (-.f64 (*.f64 #s(literal 1/36 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (*.f64 #s(literal 1/4 binary64) (*.f64 x x)))) (neg.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) y) x) (*.f64 #s(literal 1/2 binary64) x))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/216 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (*.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64))))) (neg.f64 (fma.f64 #s(literal 1/36 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 x x)) (*.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) y) x) (*.f64 #s(literal 1/2 binary64) x))))))
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(/.f64 (*.f64 (fma.f64 #s(literal 1/216 binary64) (pow.f64 y #s(literal 3 binary64)) #s(literal 1/8 binary64)) x) (fma.f64 #s(literal 1/36 binary64) (*.f64 y y) (-.f64 #s(literal 1/4 binary64) (*.f64 y #s(literal 1/12 binary64)))))
(/.f64 (*.f64 x (fma.f64 #s(literal 1/36 binary64) (*.f64 y y) #s(literal -1/4 binary64))) (fma.f64 #s(literal 1/6 binary64) y #s(literal -1/2 binary64)))
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(/.f64 (-.f64 (*.f64 #s(literal 1/36 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (*.f64 #s(literal 1/4 binary64) (*.f64 x x))) (-.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) y) x) (*.f64 #s(literal 1/2 binary64) x)))
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(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal -1/2 binary64)) (*.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 y y) #s(literal -1/4 binary64)) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 y y) (-.f64 #s(literal 1/4 binary64) (*.f64 y #s(literal 1/12 binary64)))) (*.f64 (fma.f64 #s(literal 1/216 binary64) (pow.f64 y #s(literal 3 binary64)) #s(literal 1/8 binary64)) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal -1/2 binary64)) (*.f64 x (fma.f64 #s(literal 1/36 binary64) (*.f64 y y) #s(literal -1/4 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 y y) (-.f64 #s(literal 1/4 binary64) (*.f64 y #s(literal 1/12 binary64)))) (*.f64 x (fma.f64 #s(literal 1/216 binary64) (pow.f64 y #s(literal 3 binary64)) #s(literal 1/8 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) y) x) (*.f64 #s(literal 1/2 binary64) x)) (-.f64 (*.f64 #s(literal 1/36 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (*.f64 #s(literal 1/4 binary64) (*.f64 x x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/36 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 x x)) (*.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) y) x) (*.f64 #s(literal 1/2 binary64) x)))) (fma.f64 #s(literal 1/216 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (*.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64))))))
(/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64))))
(fma.f64 (*.f64 x #s(literal 1/6 binary64)) y (*.f64 #s(literal 1/2 binary64) x))
(fma.f64 (*.f64 #s(literal 1/6 binary64) y) x (*.f64 #s(literal 1/2 binary64) x))
(fma.f64 #s(literal 1/6 binary64) (*.f64 y x) (*.f64 #s(literal 1/2 binary64) x))
(fma.f64 #s(literal 1/2 binary64) x (*.f64 (*.f64 #s(literal 1/6 binary64) y) x))
(fma.f64 (*.f64 y x) #s(literal 1/6 binary64) (*.f64 #s(literal 1/2 binary64) x))
(fma.f64 y (*.f64 #s(literal 1/6 binary64) x) (*.f64 #s(literal 1/2 binary64) x))
(fma.f64 x (*.f64 #s(literal 1/6 binary64) y) (*.f64 #s(literal 1/2 binary64) x))
(fma.f64 x #s(literal 1/2 binary64) (*.f64 (*.f64 #s(literal 1/6 binary64) y) x))
(-.f64 (/.f64 (*.f64 #s(literal 1/36 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (-.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) y) x) (*.f64 #s(literal 1/2 binary64) x))) (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 x x)) (-.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) y) x) (*.f64 #s(literal 1/2 binary64) x))))
(+.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 (*.f64 #s(literal 1/6 binary64) y) x))
(+.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) y) x) (*.f64 #s(literal 1/2 binary64) x))
(*.f64 (pow.f64 (pow.f64 y #s(literal 3/2 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 y #s(literal 3/2 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 y #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3/2 binary64)))
(*.f64 (*.f64 y y) y)
(*.f64 y (*.f64 y y))
(pow.f64 (exp.f64 #s(literal 3 binary64)) (log.f64 y))
(pow.f64 (pow.f64 y #s(literal 3/2 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 y y) #s(literal 3/2 binary64))
(pow.f64 y #s(literal 3 binary64))
(exp.f64 (fma.f64 (log.f64 y) #s(literal 3/2 binary64) (*.f64 (log.f64 y) #s(literal 3/2 binary64))))
(exp.f64 (*.f64 (*.f64 (log.f64 y) #s(literal 3/2 binary64)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 y) #s(literal 2 binary64)) #s(literal 3/2 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 y #s(literal 3/2 binary64))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 y y)) #s(literal 3/2 binary64)))
(exp.f64 (*.f64 (log.f64 y) #s(literal 3 binary64)))
(*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/36 binary64) (*.f64 y y))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) y))))
(*.f64 (neg.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 y y) #s(literal -1/4 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal -1/2 binary64)))))
(*.f64 (neg.f64 (fma.f64 #s(literal 1/216 binary64) (pow.f64 y #s(literal 3 binary64)) #s(literal 1/8 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 y y) (-.f64 #s(literal 1/4 binary64) (*.f64 y #s(literal 1/12 binary64)))))))
(*.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 y y) #s(literal -1/4 binary64)) (pow.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal -1/2 binary64)) #s(literal -1 binary64)))
(*.f64 (fma.f64 #s(literal 1/216 binary64) (pow.f64 y #s(literal 3 binary64)) #s(literal 1/8 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 y y)) (*.f64 y #s(literal 1/12 binary64))))))
(*.f64 (fma.f64 #s(literal 1/216 binary64) (pow.f64 y #s(literal 3 binary64)) #s(literal 1/8 binary64)) (pow.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 y y) (-.f64 #s(literal 1/4 binary64) (*.f64 y #s(literal 1/12 binary64)))) #s(literal -1 binary64)))
(*.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 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 (*.f64 (/.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 y y)) (fma.f64 #s(literal 1/6 binary64) y #s(literal -1/2 binary64))) (/.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 y y)) (fma.f64 #s(literal 1/6 binary64) y #s(literal -1/2 binary64)))) (*.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 1/6 binary64) y #s(literal -1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 1/6 binary64) y #s(literal -1/2 binary64))))) (+.f64 (/.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 y y)) (fma.f64 #s(literal 1/6 binary64) y #s(literal -1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 1/6 binary64) y #s(literal -1/2 binary64)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 y y)) (fma.f64 #s(literal 1/6 binary64) y #s(literal -1/2 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 1/6 binary64) y #s(literal -1/2 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 y y)) (fma.f64 #s(literal 1/6 binary64) y #s(literal -1/2 binary64))) (/.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 y y)) (fma.f64 #s(literal 1/6 binary64) y #s(literal -1/2 binary64))) (fma.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 1/6 binary64) y #s(literal -1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 1/6 binary64) y #s(literal -1/2 binary64))) (*.f64 (/.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 y y)) (fma.f64 #s(literal 1/6 binary64) y #s(literal -1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 1/6 binary64) y #s(literal -1/2 binary64)))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/36 binary64) (*.f64 y y)))) (neg.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) y))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 y y) #s(literal -1/4 binary64)))) (neg.f64 (neg.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal -1/2 binary64)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 1/216 binary64) (pow.f64 y #s(literal 3 binary64)) #s(literal 1/8 binary64)))) (neg.f64 (neg.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 y y) (-.f64 #s(literal 1/4 binary64) (*.f64 y #s(literal 1/12 binary64)))))))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 y y)) (fma.f64 #s(literal 1/6 binary64) y #s(literal -1/2 binary64))) (*.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal -1/2 binary64)) #s(literal 1/4 binary64))) (*.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/6 binary64) y #s(literal -1/2 binary64))))
(/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/36 binary64) (*.f64 y y))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) y)))
(/.f64 #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 (neg.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 y y) #s(literal -1/4 binary64))) (neg.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal -1/2 binary64))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/216 binary64) (pow.f64 y #s(literal 3 binary64)) #s(literal 1/8 binary64))) (neg.f64 (+.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 y y)) (*.f64 y #s(literal 1/12 binary64))))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/216 binary64) (pow.f64 y #s(literal 3 binary64)) #s(literal 1/8 binary64))) (neg.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 y y) (-.f64 #s(literal 1/4 binary64) (*.f64 y #s(literal 1/12 binary64))))))
(/.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)) (+.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 y y)) (*.f64 y #s(literal 1/12 binary64)))))
(/.f64 (fma.f64 #s(literal 1/216 binary64) (pow.f64 y #s(literal 3 binary64)) #s(literal 1/8 binary64)) (fma.f64 #s(literal 1/36 binary64) (*.f64 y y) (-.f64 #s(literal 1/4 binary64) (*.f64 y #s(literal 1/12 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.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 1/4 binary64) (-.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 y y)) (*.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))))
(/.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))))
(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 #s(literal 1/6 binary64) y #s(literal 1/2 binary64))
(fma.f64 y #s(literal 1/6 binary64) #s(literal 1/2 binary64))
(-.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) y))) (/.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 y y)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) y))))
(-.f64 (/.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 y y)) (fma.f64 #s(literal 1/6 binary64) y #s(literal -1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 1/6 binary64) y #s(literal -1/2 binary64))))
(+.f64 (/.f64 (*.f64 #s(literal 1/36 binary64) (*.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)))))
(+.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))

eval108.0ms (0.5%)

Memory
-14.0MiB live, 107.9MiB allocated
Compiler

Compiled 19 548 to 2 392 computations (87.8% saved)

prune22.0ms (0.1%)

Memory
19.8MiB live, 58.8MiB allocated
Pruning

21 alts after pruning (11 fresh and 10 done)

PrunedKeptTotal
New5359544
Fresh426
Picked325
Done088
Total54221563
Accuracy
100.0%
Counts
563 → 21
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(*.f64 x (exp.f64 (*.f64 y y)))
98.3%
(*.f64 x (exp.f64 y))
82.2%
(*.f64 x #s(approx (exp (* y y)) (fma.f64 y y #s(literal 1 binary64))))
45.8%
(*.f64 x #s(approx (exp (* y y)) #s(literal 1 binary64)))
47.0%
(*.f64 x #s(approx (exp y) #s(approx (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y) y y))))
47.2%
(*.f64 x #s(approx (exp y) #s(approx (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (/.f64 (*.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 y y) #s(literal -1/4 binary64)) (*.f64 y y)) (fma.f64 #s(literal 1/6 binary64) y #s(literal -1/2 binary64))))))
46.4%
(*.f64 x #s(approx (exp y) #s(approx (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (*.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) (*.f64 y y)))))
46.4%
(*.f64 x #s(approx (exp y) #s(approx (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y) y))))
46.2%
(*.f64 x #s(approx (exp y) #s(approx (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (*.f64 #s(approx (+ (* 1/6 y) 1/2) (*.f64 #s(literal 1/6 binary64) y)) (*.f64 y y)))))
89.4%
#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 y x) (fma.f64 (*.f64 (*.f64 y y) y) #s(literal 1/2 binary64) y) x))
74.8%
#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 y x) y x))
40.1%
#s(approx (* x (exp (* y y))) #s(approx (+ (* (* y y) x) x) (*.f64 (*.f64 y y) x)))
32.8%
#s(approx (* x (exp (* y y))) #s(approx (+ (* (* y y) x) x) (*.f64 (*.f64 y x) y)))
83.0%
#s(approx (* x (exp y)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) (*.f64 y x) x) y x))
84.5%
#s(approx (* x (exp y)) (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y) x x) y x))
73.8%
#s(approx (* x (exp y)) (fma.f64 (fma.f64 (*.f64 y x) #s(literal 1/2 binary64) x) y x))
83.7%
#s(approx (* x (exp y)) (fma.f64 #s(approx (+ (* (* x (+ (* 1/6 y) 1/2)) y) x) (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) x) y)) y x))
83.6%
#s(approx (* x (exp y)) (fma.f64 #s(approx (+ (* (* x (+ (* 1/6 y) 1/2)) y) x) (*.f64 (*.f64 (*.f64 y x) #s(literal 1/6 binary64)) y)) y x))
60.2%
#s(approx (* x (exp y)) (fma.f64 y x x))
48.2%
#s(approx (* x (exp y)) (/.f64 (*.f64 x (-.f64 x (*.f64 (*.f64 y y) x))) (-.f64 x (*.f64 y x))))
60.2%
#s(approx (* x (exp y)) (+.f64 (*.f64 y x) x))
Compiler

Compiled 982 to 412 computations (58% saved)

regimes43.0ms (0.2%)

Memory
-14.3MiB live, 66.4MiB allocated
Counts
30 → 1
Calls
Call 1
Inputs
(*.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))
#s(approx (* x (exp (* y y))) #s(approx (+ (* (* y y) x) x) (*.f64 (*.f64 y x) y)))
#s(approx (* x (exp (* y y))) #s(approx (+ (* (* y y) x) x) (*.f64 (*.f64 y y) x)))
#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 y x) y x))
#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 y y) x x))
(*.f64 x #s(approx (exp (* y y)) (fma.f64 y y #s(literal 1 binary64))))
#s(approx (* x (exp y)) (fma.f64 (fma.f64 (*.f64 y x) #s(literal 1/2 binary64) x) y x))
(*.f64 x #s(approx (exp y) #s(approx (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (*.f64 #s(approx (+ (* 1/6 y) 1/2) (*.f64 #s(literal 1/6 binary64) y)) (*.f64 y y)))))
#s(approx (* x (exp y)) (fma.f64 #s(approx (+ (* (* x (+ (* 1/6 y) 1/2)) y) x) (*.f64 (*.f64 (*.f64 y x) #s(literal 1/6 binary64)) y)) y x))
(*.f64 x #s(approx (exp y) #s(approx (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y) y))))
(*.f64 x #s(approx (exp y) #s(approx (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (*.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) (*.f64 y y)))))
(*.f64 x #s(approx (exp y) (fma.f64 #s(approx (+ (* (+ (* 1/6 y) 1/2) y) 1) (*.f64 (*.f64 #s(literal 1/6 binary64) y) y)) y #s(literal 1 binary64))))
#s(approx (* x (exp y)) (fma.f64 #s(approx (+ (* (* x (+ (* 1/6 y) 1/2)) y) x) (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) x) y)) y x))
(*.f64 x #s(approx (exp y) #s(approx (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y) y y))))
(*.f64 x #s(approx (exp y) #s(approx (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) (*.f64 y y) y))))
(*.f64 x #s(approx (exp y) (fma.f64 #s(approx (+ (* (+ (* 1/6 y) 1/2) y) 1) (*.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y)) y #s(literal 1 binary64))))
#s(approx (* x (exp y)) (fma.f64 (fma.f64 (*.f64 x (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64))) y x) y x))
#s(approx (* x (exp y)) (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y) x x) y x))
#s(approx (* x (exp y)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) (*.f64 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))))
#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 y x) (fma.f64 (*.f64 (*.f64 y y) y) #s(literal 1/2 binary64) y) x))
#s(approx (* x (exp y)) (/.f64 (*.f64 x (-.f64 x (*.f64 (*.f64 y y) x))) (-.f64 x (*.f64 y x))))
(*.f64 x #s(approx (exp y) #s(approx (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (/.f64 (*.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 y y) #s(literal -1/4 binary64)) (*.f64 y y)) (fma.f64 #s(literal 1/6 binary64) y #s(literal -1/2 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 (/.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)))) y #s(literal 1 binary64)) y #s(literal 1 binary64))))
(*.f64 x (exp.f64 y))
(*.f64 x (exp.f64 (*.f64 y y)))
#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 y x) (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1/2 binary64) y) x))
Outputs
(*.f64 x (exp.f64 (*.f64 y y)))
Calls

5 calls:

11.0ms
(*.f64 y y)
10.0ms
x
8.0ms
y
8.0ms
(*.f64 x (exp.f64 (*.f64 y y)))
6.0ms
(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)

regimes38.0ms (0.2%)

Memory
-5.3MiB live, 72.1MiB allocated
Counts
28 → 1
Calls
Call 1
Inputs
(*.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))
#s(approx (* x (exp (* y y))) #s(approx (+ (* (* y y) x) x) (*.f64 (*.f64 y x) y)))
#s(approx (* x (exp (* y y))) #s(approx (+ (* (* y y) x) x) (*.f64 (*.f64 y y) x)))
#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 y x) y x))
#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 y y) x x))
(*.f64 x #s(approx (exp (* y y)) (fma.f64 y y #s(literal 1 binary64))))
#s(approx (* x (exp y)) (fma.f64 (fma.f64 (*.f64 y x) #s(literal 1/2 binary64) x) y x))
(*.f64 x #s(approx (exp y) #s(approx (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (*.f64 #s(approx (+ (* 1/6 y) 1/2) (*.f64 #s(literal 1/6 binary64) y)) (*.f64 y y)))))
#s(approx (* x (exp y)) (fma.f64 #s(approx (+ (* (* x (+ (* 1/6 y) 1/2)) y) x) (*.f64 (*.f64 (*.f64 y x) #s(literal 1/6 binary64)) y)) y x))
(*.f64 x #s(approx (exp y) #s(approx (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y) y))))
(*.f64 x #s(approx (exp y) #s(approx (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (*.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) (*.f64 y y)))))
(*.f64 x #s(approx (exp y) (fma.f64 #s(approx (+ (* (+ (* 1/6 y) 1/2) y) 1) (*.f64 (*.f64 #s(literal 1/6 binary64) y) y)) y #s(literal 1 binary64))))
#s(approx (* x (exp y)) (fma.f64 #s(approx (+ (* (* x (+ (* 1/6 y) 1/2)) y) x) (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) x) y)) y x))
(*.f64 x #s(approx (exp y) #s(approx (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y) y y))))
(*.f64 x #s(approx (exp y) #s(approx (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) (*.f64 y y) y))))
(*.f64 x #s(approx (exp y) (fma.f64 #s(approx (+ (* (+ (* 1/6 y) 1/2) y) 1) (*.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y)) y #s(literal 1 binary64))))
#s(approx (* x (exp y)) (fma.f64 (fma.f64 (*.f64 x (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64))) y x) y x))
#s(approx (* x (exp y)) (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y) x x) y x))
#s(approx (* x (exp y)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) (*.f64 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))))
#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 y x) (fma.f64 (*.f64 (*.f64 y y) y) #s(literal 1/2 binary64) y) x))
#s(approx (* x (exp y)) (/.f64 (*.f64 x (-.f64 x (*.f64 (*.f64 y y) x))) (-.f64 x (*.f64 y x))))
(*.f64 x #s(approx (exp y) #s(approx (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (/.f64 (*.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 y y) #s(literal -1/4 binary64)) (*.f64 y y)) (fma.f64 #s(literal 1/6 binary64) y #s(literal -1/2 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 (/.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)))) y #s(literal 1 binary64)) y #s(literal 1 binary64))))
(*.f64 x (exp.f64 y))
Outputs
(*.f64 x (exp.f64 y))
Calls

5 calls:

9.0ms
x
8.0ms
(*.f64 x (exp.f64 (*.f64 y y)))
8.0ms
y
7.0ms
(*.f64 y y)
6.0ms
(exp.f64 (*.f64 y y))
Results
AccuracySegmentsBranch
98.3%1x
98.3%1y
98.3%1(*.f64 x (exp.f64 (*.f64 y y)))
98.3%1(exp.f64 (*.f64 y y))
98.3%1(*.f64 y y)
Compiler

Compiled 15 to 16 computations (-6.7% saved)

regimes74.0ms (0.4%)

Memory
8.0MiB live, 89.7MiB allocated
Counts
27 → 1
Calls
Call 1
Inputs
(*.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))
#s(approx (* x (exp (* y y))) #s(approx (+ (* (* y y) x) x) (*.f64 (*.f64 y x) y)))
#s(approx (* x (exp (* y y))) #s(approx (+ (* (* y y) x) x) (*.f64 (*.f64 y y) x)))
#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 y x) y x))
#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 y y) x x))
(*.f64 x #s(approx (exp (* y y)) (fma.f64 y y #s(literal 1 binary64))))
#s(approx (* x (exp y)) (fma.f64 (fma.f64 (*.f64 y x) #s(literal 1/2 binary64) x) y x))
(*.f64 x #s(approx (exp y) #s(approx (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (*.f64 #s(approx (+ (* 1/6 y) 1/2) (*.f64 #s(literal 1/6 binary64) y)) (*.f64 y y)))))
#s(approx (* x (exp y)) (fma.f64 #s(approx (+ (* (* x (+ (* 1/6 y) 1/2)) y) x) (*.f64 (*.f64 (*.f64 y x) #s(literal 1/6 binary64)) y)) y x))
(*.f64 x #s(approx (exp y) #s(approx (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y) y))))
(*.f64 x #s(approx (exp y) #s(approx (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (*.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) (*.f64 y y)))))
(*.f64 x #s(approx (exp y) (fma.f64 #s(approx (+ (* (+ (* 1/6 y) 1/2) y) 1) (*.f64 (*.f64 #s(literal 1/6 binary64) y) y)) y #s(literal 1 binary64))))
#s(approx (* x (exp y)) (fma.f64 #s(approx (+ (* (* x (+ (* 1/6 y) 1/2)) y) x) (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) x) y)) y x))
(*.f64 x #s(approx (exp y) #s(approx (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y) y y))))
(*.f64 x #s(approx (exp y) #s(approx (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) (*.f64 y y) y))))
(*.f64 x #s(approx (exp y) (fma.f64 #s(approx (+ (* (+ (* 1/6 y) 1/2) y) 1) (*.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y)) y #s(literal 1 binary64))))
#s(approx (* x (exp y)) (fma.f64 (fma.f64 (*.f64 x (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64))) y x) y x))
#s(approx (* x (exp y)) (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y) x x) y x))
#s(approx (* x (exp y)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) (*.f64 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))))
#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 y x) (fma.f64 (*.f64 (*.f64 y y) y) #s(literal 1/2 binary64) y) x))
#s(approx (* x (exp y)) (/.f64 (*.f64 x (-.f64 x (*.f64 (*.f64 y y) x))) (-.f64 x (*.f64 y x))))
(*.f64 x #s(approx (exp y) #s(approx (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (/.f64 (*.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 y y) #s(literal -1/4 binary64)) (*.f64 y y)) (fma.f64 #s(literal 1/6 binary64) y #s(literal -1/2 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 (/.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)))) y #s(literal 1 binary64)) y #s(literal 1 binary64))))
Outputs
#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 y x) (fma.f64 (*.f64 (*.f64 y y) y) #s(literal 1/2 binary64) y) x))
Calls

5 calls:

41.0ms
(*.f64 x (exp.f64 (*.f64 y y)))
12.0ms
x
7.0ms
y
7.0ms
(*.f64 y y)
5.0ms
(exp.f64 (*.f64 y y))
Results
AccuracySegmentsBranch
89.4%1x
89.4%1y
89.4%1(*.f64 x (exp.f64 (*.f64 y y)))
89.4%1(exp.f64 (*.f64 y y))
89.4%1(*.f64 y y)
Compiler

Compiled 15 to 16 computations (-6.7% saved)

regimes32.0ms (0.2%)

Memory
26.4MiB live, 64.5MiB allocated
Counts
22 → 1
Calls
Call 1
Inputs
(*.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))
#s(approx (* x (exp (* y y))) #s(approx (+ (* (* y y) x) x) (*.f64 (*.f64 y x) y)))
#s(approx (* x (exp (* y y))) #s(approx (+ (* (* y y) x) x) (*.f64 (*.f64 y y) x)))
#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 y x) y x))
#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 y y) x x))
(*.f64 x #s(approx (exp (* y y)) (fma.f64 y y #s(literal 1 binary64))))
#s(approx (* x (exp y)) (fma.f64 (fma.f64 (*.f64 y x) #s(literal 1/2 binary64) x) y x))
(*.f64 x #s(approx (exp y) #s(approx (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (*.f64 #s(approx (+ (* 1/6 y) 1/2) (*.f64 #s(literal 1/6 binary64) y)) (*.f64 y y)))))
#s(approx (* x (exp y)) (fma.f64 #s(approx (+ (* (* x (+ (* 1/6 y) 1/2)) y) x) (*.f64 (*.f64 (*.f64 y x) #s(literal 1/6 binary64)) y)) y x))
(*.f64 x #s(approx (exp y) #s(approx (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y) y))))
(*.f64 x #s(approx (exp y) #s(approx (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (*.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) (*.f64 y y)))))
(*.f64 x #s(approx (exp y) (fma.f64 #s(approx (+ (* (+ (* 1/6 y) 1/2) y) 1) (*.f64 (*.f64 #s(literal 1/6 binary64) y) y)) y #s(literal 1 binary64))))
#s(approx (* x (exp y)) (fma.f64 #s(approx (+ (* (* x (+ (* 1/6 y) 1/2)) y) x) (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) x) y)) y x))
(*.f64 x #s(approx (exp y) #s(approx (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y) y y))))
(*.f64 x #s(approx (exp y) #s(approx (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) (*.f64 y y) y))))
(*.f64 x #s(approx (exp y) (fma.f64 #s(approx (+ (* (+ (* 1/6 y) 1/2) y) 1) (*.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y)) y #s(literal 1 binary64))))
#s(approx (* x (exp y)) (fma.f64 (fma.f64 (*.f64 x (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64))) y x) y x))
#s(approx (* x (exp y)) (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y) x x) y x))
#s(approx (* x (exp y)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) (*.f64 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))))
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:

9.0ms
(*.f64 y y)
6.0ms
x
6.0ms
y
6.0ms
(*.f64 x (exp.f64 (*.f64 y y)))
5.0ms
(exp.f64 (*.f64 y y))
Results
AccuracySegmentsBranch
88.1%1x
88.1%1y
88.1%1(*.f64 y y)
88.1%1(*.f64 x (exp.f64 (*.f64 y y)))
88.1%1(exp.f64 (*.f64 y y))
Compiler

Compiled 15 to 16 computations (-6.7% saved)

regimes30.0ms (0.1%)

Memory
-19.4MiB live, 63.9MiB allocated
Counts
17 → 1
Calls
Call 1
Inputs
(*.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))
#s(approx (* x (exp (* y y))) #s(approx (+ (* (* y y) x) x) (*.f64 (*.f64 y x) y)))
#s(approx (* x (exp (* y y))) #s(approx (+ (* (* y y) x) x) (*.f64 (*.f64 y y) x)))
#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 y x) y x))
#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 y y) x x))
(*.f64 x #s(approx (exp (* y y)) (fma.f64 y y #s(literal 1 binary64))))
#s(approx (* x (exp y)) (fma.f64 (fma.f64 (*.f64 y x) #s(literal 1/2 binary64) x) y x))
(*.f64 x #s(approx (exp y) #s(approx (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (*.f64 #s(approx (+ (* 1/6 y) 1/2) (*.f64 #s(literal 1/6 binary64) y)) (*.f64 y y)))))
#s(approx (* x (exp y)) (fma.f64 #s(approx (+ (* (* x (+ (* 1/6 y) 1/2)) y) x) (*.f64 (*.f64 (*.f64 y x) #s(literal 1/6 binary64)) y)) y x))
(*.f64 x #s(approx (exp y) #s(approx (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y) y))))
(*.f64 x #s(approx (exp y) #s(approx (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (*.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) (*.f64 y y)))))
(*.f64 x #s(approx (exp y) (fma.f64 #s(approx (+ (* (+ (* 1/6 y) 1/2) y) 1) (*.f64 (*.f64 #s(literal 1/6 binary64) y) y)) y #s(literal 1 binary64))))
#s(approx (* x (exp y)) (fma.f64 #s(approx (+ (* (* x (+ (* 1/6 y) 1/2)) y) x) (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) x) y)) y x))
(*.f64 x #s(approx (exp y) #s(approx (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y) y y))))
(*.f64 x #s(approx (exp y) #s(approx (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) (*.f64 y y) y))))
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:

8.0ms
(*.f64 x (exp.f64 (*.f64 y y)))
8.0ms
(*.f64 y y)
5.0ms
x
5.0ms
y
4.0ms
(exp.f64 (*.f64 y y))
Results
AccuracySegmentsBranch
88.0%1x
88.0%1(*.f64 x (exp.f64 (*.f64 y y)))
88.0%1(exp.f64 (*.f64 y y))
88.0%1y
88.0%1(*.f64 y y)
Compiler

Compiled 15 to 16 computations (-6.7% saved)

regimes20.0ms (0.1%)

Memory
5.1MiB live, 44.4MiB allocated
Counts
13 → 2
Calls
Call 1
Inputs
(*.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))
#s(approx (* x (exp (* y y))) #s(approx (+ (* (* y y) x) x) (*.f64 (*.f64 y x) y)))
#s(approx (* x (exp (* y y))) #s(approx (+ (* (* y y) x) x) (*.f64 (*.f64 y y) x)))
#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 y x) y x))
#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 y y) x x))
(*.f64 x #s(approx (exp (* y y)) (fma.f64 y y #s(literal 1 binary64))))
#s(approx (* x (exp y)) (fma.f64 (fma.f64 (*.f64 y x) #s(literal 1/2 binary64) x) y x))
(*.f64 x #s(approx (exp y) #s(approx (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (*.f64 #s(approx (+ (* 1/6 y) 1/2) (*.f64 #s(literal 1/6 binary64) y)) (*.f64 y y)))))
#s(approx (* x (exp y)) (fma.f64 #s(approx (+ (* (* x (+ (* 1/6 y) 1/2)) y) x) (*.f64 (*.f64 (*.f64 y x) #s(literal 1/6 binary64)) y)) y x))
(*.f64 x #s(approx (exp y) #s(approx (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y) y))))
(*.f64 x #s(approx (exp y) #s(approx (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (*.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) (*.f64 y y)))))
Outputs
#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 y x) y x))
(*.f64 x #s(approx (exp y) #s(approx (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y) y))))
Calls

5 calls:

5.0ms
y
4.0ms
x
4.0ms
(*.f64 x (exp.f64 (*.f64 y y)))
4.0ms
(*.f64 y y)
3.0ms
(exp.f64 (*.f64 y y))
Results
AccuracySegmentsBranch
83.6%1x
88.5%2(*.f64 x (exp.f64 (*.f64 y y)))
88.5%2(exp.f64 (*.f64 y y))
88.5%2y
88.5%2(*.f64 y y)
Compiler

Compiled 15 to 16 computations (-6.7% saved)

regimes14.0ms (0.1%)

Memory
-8.4MiB live, 30.9MiB allocated
Counts
11 → 2
Calls
Call 1
Inputs
(*.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))
#s(approx (* x (exp (* y y))) #s(approx (+ (* (* y y) x) x) (*.f64 (*.f64 y x) y)))
#s(approx (* x (exp (* y y))) #s(approx (+ (* (* y y) x) x) (*.f64 (*.f64 y y) x)))
#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 y x) y x))
#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 y y) x x))
(*.f64 x #s(approx (exp (* y y)) (fma.f64 y y #s(literal 1 binary64))))
#s(approx (* x (exp y)) (fma.f64 (fma.f64 (*.f64 y x) #s(literal 1/2 binary64) x) y x))
(*.f64 x #s(approx (exp y) #s(approx (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (*.f64 #s(approx (+ (* 1/6 y) 1/2) (*.f64 #s(literal 1/6 binary64) y)) (*.f64 y y)))))
#s(approx (* x (exp y)) (fma.f64 #s(approx (+ (* (* x (+ (* 1/6 y) 1/2)) y) x) (*.f64 (*.f64 (*.f64 y x) #s(literal 1/6 binary64)) y)) y x))
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 #s(approx (+ (* 1/6 y) 1/2) (*.f64 #s(literal 1/6 binary64) y)) (*.f64 y y)))))
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
88.5%2(*.f64 x (exp.f64 (*.f64 y y)))
88.5%2(exp.f64 (*.f64 y y))
88.5%2y
88.5%2(*.f64 y y)
Compiler

Compiled 14 to 14 computations (0% saved)

regimes16.0ms (0.1%)

Memory
-4.7MiB live, 34.1MiB allocated
Counts
9 → 1
Calls
Call 1
Inputs
(*.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))
#s(approx (* x (exp (* y y))) #s(approx (+ (* (* y y) x) x) (*.f64 (*.f64 y x) y)))
#s(approx (* x (exp (* y y))) #s(approx (+ (* (* y y) x) x) (*.f64 (*.f64 y y) x)))
#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 y x) y x))
#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 y y) x x))
(*.f64 x #s(approx (exp (* y y)) (fma.f64 y y #s(literal 1 binary64))))
#s(approx (* x (exp y)) (fma.f64 (fma.f64 (*.f64 y x) #s(literal 1/2 binary64) x) y x))
Outputs
#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 y y) x x))
Calls

5 calls:

4.0ms
(*.f64 x (exp.f64 (*.f64 y y)))
3.0ms
x
3.0ms
y
3.0ms
(*.f64 y y)
2.0ms
(exp.f64 (*.f64 y y))
Results
AccuracySegmentsBranch
82.2%1x
82.2%1(*.f64 x (exp.f64 (*.f64 y y)))
82.2%1(exp.f64 (*.f64 y y))
82.2%1y
82.2%1(*.f64 y y)
Compiler

Compiled 15 to 16 computations (-6.7% saved)

regimes11.0ms (0.1%)

Memory
26.7MiB live, 26.7MiB allocated
Counts
6 → 2
Calls
Call 1
Inputs
(*.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))
#s(approx (* x (exp (* y y))) #s(approx (+ (* (* y y) x) x) (*.f64 (*.f64 y x) y)))
#s(approx (* x (exp (* y y))) #s(approx (+ (* (* y y) x) x) (*.f64 (*.f64 y y) x)))
#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))
#s(approx (* x (exp (* y y))) #s(approx (+ (* (* y y) x) x) (*.f64 (*.f64 y y) x)))
Calls

5 calls:

2.0ms
y
2.0ms
x
2.0ms
(*.f64 x (exp.f64 (*.f64 y y)))
2.0ms
(*.f64 y y)
2.0ms
(exp.f64 (*.f64 y y))
Results
AccuracySegmentsBranch
74.8%1x
82.2%2(*.f64 x (exp.f64 (*.f64 y y)))
82.2%2(exp.f64 (*.f64 y y))
82.2%2y
82.2%2(*.f64 y y)
Compiler

Compiled 15 to 16 computations (-6.7% saved)

regimes10.0ms (0%)

Memory
-22.6MiB live, 18.8MiB allocated
Counts
5 → 2
Calls
Call 1
Inputs
(*.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))
#s(approx (* x (exp (* y y))) #s(approx (+ (* (* y y) x) x) (*.f64 (*.f64 y x) y)))
#s(approx (* x (exp (* y y))) #s(approx (+ (* (* y y) x) x) (*.f64 (*.f64 y y) x)))
Outputs
(*.f64 x #s(approx (exp (* y y)) #s(literal 1 binary64)))
#s(approx (* x (exp (* y y))) #s(approx (+ (* (* y y) x) x) (*.f64 (*.f64 y y) x)))
Calls

4 calls:

3.0ms
(*.f64 y y)
2.0ms
y
2.0ms
(*.f64 x (exp.f64 (*.f64 y y)))
2.0ms
(exp.f64 (*.f64 y y))
Results
AccuracySegmentsBranch
81.7%2(*.f64 x (exp.f64 (*.f64 y y)))
81.7%2(exp.f64 (*.f64 y y))
81.7%2y
81.7%2(*.f64 y y)
Compiler

Compiled 14 to 14 computations (0% saved)

regimes9.0ms (0%)

Memory
21.4MiB live, 21.4MiB allocated
Counts
4 → 2
Calls
Call 1
Inputs
(*.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))
#s(approx (* x (exp (* y y))) #s(approx (+ (* (* y y) x) x) (*.f64 (*.f64 y x) y)))
Outputs
(*.f64 x #s(approx (exp (* y y)) #s(literal 1 binary64)))
#s(approx (* x (exp (* y y))) #s(approx (+ (* (* y y) x) x) (*.f64 (*.f64 y x) y)))
Calls

5 calls:

2.0ms
y
2.0ms
x
2.0ms
(*.f64 x (exp.f64 (*.f64 y y)))
2.0ms
(*.f64 y y)
2.0ms
(exp.f64 (*.f64 y y))
Results
AccuracySegmentsBranch
60.2%1x
74.3%2(*.f64 x (exp.f64 (*.f64 y y)))
74.3%2(exp.f64 (*.f64 y y))
74.3%2y
74.3%2(*.f64 y y)
Compiler

Compiled 15 to 16 computations (-6.7% saved)

regimes8.0ms (0%)

Memory
-23.1MiB live, 16.1MiB allocated
Counts
3 → 1
Calls
Call 1
Inputs
(*.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:

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

Compiled 15 to 16 computations (-6.7% saved)

regimes5.0ms (0%)

Memory
13.2MiB live, 13.2MiB allocated
Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

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

5 calls:

1.0ms
y
1.0ms
x
1.0ms
(*.f64 x (exp.f64 (*.f64 y y)))
1.0ms
(*.f64 y y)
1.0ms
(exp.f64 (*.f64 y y))
Results
AccuracySegmentsBranch
45.8%1(*.f64 x (exp.f64 (*.f64 y y)))
45.8%1(exp.f64 (*.f64 y y))
45.8%1(*.f64 y y)
45.8%1y
45.8%1x
Compiler

Compiled 15 to 16 computations (-6.7% saved)

bsearch0.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.8287525538704856
680036350048293.6
Compiler

Compiled 9 to 10 computations (-11.1% saved)

bsearch0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.8287525538704856
680036350048293.6
Compiler

Compiled 9 to 10 computations (-11.1% saved)

bsearch0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
2.9723808794264693e+121
9.88828475932697e+131
Compiler

Compiled 9 to 10 computations (-11.1% saved)

bsearch0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.8287525538704856
680036350048293.6
Compiler

Compiled 9 to 10 computations (-11.1% saved)

bsearch34.0ms (0.2%)

Memory
-21.4MiB live, 16.1MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
33.0ms
0.9103584754757247
26077506.59185601
Samples
28.0ms144×0valid
Compiler

Compiled 261 to 190 computations (27.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 25.0ms
ival-mult: 23.0ms (91.3% of total)
ival-exp: 2.0ms (7.9% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

simplify19.0ms (0.1%)

Memory
18.4MiB live, 18.4MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
072309
189309
2110309
3180309
4325309
5428309
6450309
7450309
Stop Event
saturated
Calls
Call 1
Inputs
(*.f64 x (exp.f64 (*.f64 y y)))
(*.f64 x (exp.f64 y))
#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 y x) (fma.f64 (*.f64 (*.f64 y y) y) #s(literal 1/2 binary64) y) x))
(*.f64 x #s(approx (exp y) (fma.f64 #s(approx (+ (* (+ (* 1/6 y) 1/2) y) 1) (*.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y)) y #s(literal 1 binary64))))
(*.f64 x #s(approx (exp y) (fma.f64 #s(approx (+ (* (+ (* 1/6 y) 1/2) y) 1) (*.f64 (*.f64 #s(literal 1/6 binary64) y) y)) y #s(literal 1 binary64))))
(if (<=.f64 (*.f64 y y) #s(literal 1 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 (*.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y) y)))))
(if (<=.f64 (*.f64 y y) #s(literal 1 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 #s(approx (+ (* 1/6 y) 1/2) (*.f64 #s(literal 1/6 binary64) y)) (*.f64 y y))))))
#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 y y) x x))
(if (<=.f64 (*.f64 y y) #s(literal 50000000000000000720297379362263692791555931121415631506856157467749463534563065813431628812863228040252718591648116768768 binary64)) #s(approx (* x (exp (* y y))) (fma.f64 (*.f64 y x) y x)) #s(approx (* x (exp (* y y))) #s(approx (+ (* (* y y) x) x) (*.f64 (*.f64 y y) x))))
(if (<=.f64 (*.f64 y y) #s(literal 1 binary64)) (*.f64 x #s(approx (exp (* y y)) #s(literal 1 binary64))) #s(approx (* x (exp (* y y))) #s(approx (+ (* (* y y) x) x) (*.f64 (*.f64 y y) x))))
(if (<=.f64 y #s(literal 1 binary64)) (*.f64 x #s(approx (exp (* y y)) #s(literal 1 binary64))) #s(approx (* x (exp (* y y))) #s(approx (+ (* (* y y) x) x) (*.f64 (*.f64 y x) y))))
#s(approx (* x (exp y)) (fma.f64 y x x))
(*.f64 x #s(approx (exp (* y y)) #s(literal 1 binary64)))
Outputs
(*.f64 x (exp.f64 (*.f64 y y)))
(*.f64 x (exp.f64 y))
#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 y x) (fma.f64 (*.f64 (*.f64 y y) y) #s(literal 1/2 binary64) y) x))
(*.f64 x #s(approx (exp y) (fma.f64 #s(approx (+ (* (+ (* 1/6 y) 1/2) y) 1) (*.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y)) y #s(literal 1 binary64))))
(*.f64 x #s(approx (exp y) (fma.f64 #s(approx (+ (* (+ (* 1/6 y) 1/2) y) 1) (*.f64 (*.f64 #s(literal 1/6 binary64) y) y)) y #s(literal 1 binary64))))
(if (<=.f64 (*.f64 y y) #s(literal 1 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 (*.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y) y)))))
(if (<=.f64 (*.f64 y y) #s(literal 1 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 #s(approx (+ (* 1/6 y) 1/2) (*.f64 #s(literal 1/6 binary64) y)) (*.f64 y y))))))
#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 y y) x x))
(if (<=.f64 (*.f64 y y) #s(literal 50000000000000000720297379362263692791555931121415631506856157467749463534563065813431628812863228040252718591648116768768 binary64)) #s(approx (* x (exp (* y y))) (fma.f64 (*.f64 y x) y x)) #s(approx (* x (exp (* y y))) #s(approx (+ (* (* y y) x) x) (*.f64 (*.f64 y y) x))))
(if (<=.f64 (*.f64 y y) #s(literal 1 binary64)) (*.f64 x #s(approx (exp (* y y)) #s(literal 1 binary64))) #s(approx (* x (exp (* y y))) #s(approx (+ (* (* y y) x) x) (*.f64 (*.f64 y y) x))))
(if (<=.f64 y #s(literal 1 binary64)) (*.f64 x #s(approx (exp (* y y)) #s(literal 1 binary64))) #s(approx (* x (exp (* y y))) #s(approx (+ (* (* y y) x) x) (*.f64 (*.f64 y x) y))))
#s(approx (* x (exp y)) (fma.f64 y x x))
(*.f64 x #s(approx (exp (* y y)) #s(literal 1 binary64)))

soundness2.0s (9.6%)

Memory
18.4MiB live, 1 072.0MiB allocated
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
038266
056266
1209260
21499260
08160252
0128392
1417392
21163376
33383374
47124374
08163317
0513
0813
11313
22613
36913
42945
026665
0174634
1576627
21837604
34770601
08170527
029154
047152
1171152
21050152
08157152
03397
19597
227691
375089
498989
5116189
6131889
7143689
8143687
9176787
10180087
11180187
12182387
0182375
070192
1217192
2545184
31401182
43200182
08349155
01666
02466
16466
232766
3294066
0893766
Stop Event
fuel
iter limit
node limit
iter limit
iter limit
node limit
iter limit
saturated
iter limit
node limit
iter limit
iter limit
node limit
iter limit
iter limit
iter limit
unsound
iter limit
iter limit
node limit
iter limit
node limit
iter limit
Compiler

Compiled 531 to 257 computations (51.6% saved)

preprocess312.0ms (1.5%)

Memory
5.7MiB live, 166.9MiB allocated
Remove

(negabs x)

(abs y)

Compiler

Compiled 690 to 210 computations (69.6% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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