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

Time bar (total: 7.3s)

start0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated; 0ms collecting garbage

analyze0.0ms (0%)

Memory
1.2MiB live, 1.3MiB allocated; 0ms collecting garbage
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)

sample973.0ms (13.3%)

Memory
8.6MiB live, 985.6MiB allocated; 249ms collecting garbage
Samples
591.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 304.0ms
ival-mult: 175.0ms (57.7% of total)
ival-exp: 117.0ms (38.5% of total)
ival-true: 6.0ms (2% of total)
ival-assert: 3.0ms (1% of total)
adjust: 2.0ms (0.7% of total)
Bogosity

explain76.0ms (1%)

Memory
8.6MiB live, 73.7MiB allocated; 14ms collecting garbage
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
25.0ms512×0valid
Compiler

Compiled 40 to 19 computations (52.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 13.0ms
ival-mult: 7.0ms (55.6% of total)
ival-exp: 4.0ms (31.8% of total)
ival-true: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess240.0ms (3.3%)

Memory
-19.9MiB live, 310.0MiB allocated; 54ms collecting garbage
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01532
15832
217132
340932
4124432
5799032
056
086
1186
2526
31516
44286
525596
676356
083336
Stop Event
iter limit
node limit
iter limit
node limit
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; 0ms collecting garbage
Compiler

Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory
1.2MiB live, 1.2MiB allocated; 0ms collecting garbage
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)

simplify253.0ms (3.5%)

Memory
2.9MiB live, 248.7MiB allocated; 39ms collecting garbage
Algorithm
egg-herbie
Localize:

Found 3 expressions of interest:

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

Useful iterations: 0 (0.0ms)

IterNodesCost
0515
0815
11815
25215
315115
442815
5255915
6763515
0833315
Stop Event
iter limit
node limit
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

localize19.0ms (0.3%)

Memory
-1.2MiB live, 44.4MiB allocated; 5ms collecting garbage
Localize:

Found 3 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(*.f64 y y)
accuracy0.0
(*.f64 x (exp.f64 (*.f64 y y)))
accuracy0.0
(exp.f64 (*.f64 y y))
Samples
15.0ms256×0valid
Compiler

Compiled 17 to 7 computations (58.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 6.0ms
ival-mult: 3.0ms (51.1% of total)
ival-exp: 2.0ms (34.1% of total)
ival-true: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series4.0ms (0.1%)

Memory
7.6MiB live, 7.6MiB allocated; 0ms collecting garbage
Counts
3 → 11
Calls
Call 1
Inputs
(*.f64 x (exp.f64 (*.f64 y y)))
(exp.f64 (*.f64 y y))
(*.f64 y y)
Outputs
(* x (exp (pow y 2)))
x
(+ x (* x (pow y 2)))
(+ x (* (pow y 2) (+ x (* 1/2 (* x (pow y 2))))))
(+ x (* (pow y 2) (+ x (* (pow y 2) (+ (* 1/6 (* x (pow y 2))) (* 1/2 x))))))
1
(+ 1 (pow y 2))
(+ 1 (* (pow y 2) (+ 1 (* 1/2 (pow y 2)))))
(+ 1 (* (pow y 2) (+ 1 (* (pow y 2) (+ 1/2 (* 1/6 (pow y 2)))))))
(pow y 2)
(exp (pow y 2))
Calls

6 calls:

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

simplify276.0ms (3.8%)

Memory
4.5MiB live, 391.1MiB allocated; 59ms collecting garbage
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03397
112797
249291
3219389
4480489
0810077
Stop Event
iter limit
node limit
Counts
11 → 10
Calls
Call 1
Inputs
(* x (exp (pow y 2)))
x
(+ x (* x (pow y 2)))
(+ x (* (pow y 2) (+ x (* 1/2 (* x (pow y 2))))))
(+ x (* (pow y 2) (+ x (* (pow y 2) (+ (* 1/6 (* x (pow y 2))) (* 1/2 x))))))
1
(+ 1 (pow y 2))
(+ 1 (* (pow y 2) (+ 1 (* 1/2 (pow y 2)))))
(+ 1 (* (pow y 2) (+ 1 (* (pow y 2) (+ 1/2 (* 1/6 (pow y 2)))))))
(pow y 2)
(exp (pow y 2))
Outputs
(* x (exp (pow y 2)))
(*.f64 (pow.f64 (exp.f64 y) y) x)
x
(+ x (* x (pow y 2)))
(*.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 (*.f64 y y) x) (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)) x)
1
#s(literal 1 binary64)
(+ 1 (pow y 2))
(fma.f64 y y #s(literal 1 binary64))
(+ 1 (* (pow y 2) (+ 1 (* 1/2 (pow y 2)))))
(fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/2 binary64) (fma.f64 y y #s(literal 1 binary64)))
(+ 1 (* (pow y 2) (+ 1 (* (pow y 2) (+ 1/2 (* 1/6 (pow y 2)))))))
(fma.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1/6 binary64) (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/2 binary64) (fma.f64 y y #s(literal 1 binary64))))
(pow y 2)
(*.f64 y y)
(exp (pow y 2))
(pow.f64 (exp.f64 y) y)

rewrite75.0ms (1%)

Memory
-27.0MiB live, 123.4MiB allocated; 12ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0513
0813
12013
28313
050113
Stop Event
iter limit
iter limit
iter limit
unsound
iter limit
Counts
3 → 60
Calls
Call 1
Inputs
(*.f64 x (exp.f64 (*.f64 y y)))
(exp.f64 (*.f64 y y))
(*.f64 y y)
Outputs
(*.f64 (*.f64 x (pow.f64 (exp.f64 y) (/.f64 y #s(literal 2 binary64)))) (pow.f64 (exp.f64 y) (/.f64 y #s(literal 2 binary64))))
(*.f64 (pow.f64 (exp.f64 y) (/.f64 y #s(literal 2 binary64))) (*.f64 (pow.f64 (exp.f64 y) (/.f64 y #s(literal 2 binary64))) x))
(*.f64 (pow.f64 (exp.f64 y) y) x)
(*.f64 x (pow.f64 (exp.f64 y) y))
(/.f64 (*.f64 #s(literal 1 binary64) x) (exp.f64 (*.f64 (neg.f64 y) y)))
(/.f64 (*.f64 (+.f64 (pow.f64 (sinh.f64 (*.f64 y y)) #s(literal 3 binary64)) (pow.f64 (cosh.f64 (*.f64 y y)) #s(literal 3 binary64))) x) (fma.f64 (sinh.f64 (*.f64 y y)) (-.f64 (sinh.f64 (*.f64 y y)) (cosh.f64 (*.f64 y y))) (pow.f64 (cosh.f64 (*.f64 y y)) #s(literal 2 binary64))))
(/.f64 (*.f64 x #s(literal 1 binary64)) (exp.f64 (*.f64 (neg.f64 y) y)))
(/.f64 (*.f64 x (+.f64 (pow.f64 (sinh.f64 (*.f64 y y)) #s(literal 3 binary64)) (pow.f64 (cosh.f64 (*.f64 y y)) #s(literal 3 binary64)))) (fma.f64 (sinh.f64 (*.f64 y y)) (-.f64 (sinh.f64 (*.f64 y y)) (cosh.f64 (*.f64 y y))) (pow.f64 (cosh.f64 (*.f64 y y)) #s(literal 2 binary64))))
(/.f64 (-.f64 (*.f64 (*.f64 (cosh.f64 (*.f64 y y)) x) (*.f64 (cosh.f64 (*.f64 y y)) x)) (*.f64 (*.f64 (sinh.f64 (*.f64 y y)) x) (*.f64 (sinh.f64 (*.f64 y y)) x))) (-.f64 (*.f64 (cosh.f64 (*.f64 y y)) x) (*.f64 (sinh.f64 (*.f64 y y)) x)))
(/.f64 (+.f64 (pow.f64 (*.f64 (cosh.f64 (*.f64 y y)) x) #s(literal 3 binary64)) (pow.f64 (*.f64 (sinh.f64 (*.f64 y y)) x) #s(literal 3 binary64))) (fma.f64 (*.f64 (cosh.f64 (*.f64 y y)) x) (*.f64 (cosh.f64 (*.f64 y y)) x) (-.f64 (*.f64 (*.f64 (sinh.f64 (*.f64 y y)) x) (*.f64 (sinh.f64 (*.f64 y y)) x)) (*.f64 (*.f64 (cosh.f64 (*.f64 y y)) x) (*.f64 (sinh.f64 (*.f64 y y)) x)))))
(fma.f64 (sinh.f64 (*.f64 y y)) x (*.f64 (cosh.f64 (*.f64 y y)) x))
(fma.f64 (cosh.f64 (*.f64 y y)) x (*.f64 (sinh.f64 (*.f64 y y)) x))
(fma.f64 x (sinh.f64 (*.f64 y y)) (*.f64 (cosh.f64 (*.f64 y y)) x))
(fma.f64 x (cosh.f64 (*.f64 y y)) (*.f64 (sinh.f64 (*.f64 y y)) x))
(-.f64 (*.f64 (cosh.f64 (*.f64 y y)) x) (*.f64 (neg.f64 (sinh.f64 (*.f64 y y))) x))
(-.f64 (*.f64 (cosh.f64 (*.f64 y y)) x) (*.f64 (neg.f64 x) (sinh.f64 (*.f64 y y))))
(+.f64 (*.f64 (sinh.f64 (*.f64 y y)) x) (*.f64 (cosh.f64 (*.f64 y y)) x))
(+.f64 (*.f64 (cosh.f64 (*.f64 y y)) x) (*.f64 (sinh.f64 (*.f64 y y)) x))
(*.f64 (pow.f64 (exp.f64 (neg.f64 y)) (/.f64 (neg.f64 y) #s(literal 2 binary64))) (pow.f64 (exp.f64 (neg.f64 y)) (/.f64 (neg.f64 y) #s(literal 2 binary64))))
(*.f64 (neg.f64 (pow.f64 (exp.f64 y) (/.f64 y #s(literal 2 binary64)))) (neg.f64 (pow.f64 (exp.f64 y) (/.f64 y #s(literal 2 binary64)))))
(*.f64 (fabs.f64 (pow.f64 (exp.f64 y) (/.f64 y #s(literal 2 binary64)))) (fabs.f64 (pow.f64 (exp.f64 y) (/.f64 y #s(literal 2 binary64)))))
(*.f64 (pow.f64 (exp.f64 y) (/.f64 y #s(literal 2 binary64))) (pow.f64 (exp.f64 y) (/.f64 y #s(literal 2 binary64))))
(pow.f64 (*.f64 (exp.f64 y) (exp.f64 y)) (/.f64 y #s(literal 2 binary64)))
(pow.f64 (pow.f64 (exp.f64 y) (/.f64 y #s(literal 2 binary64))) #s(literal 2 binary64))
(pow.f64 (exp.f64 (neg.f64 y)) (neg.f64 y))
(pow.f64 (exp.f64 y) (*.f64 #s(literal 2 binary64) (/.f64 y #s(literal 2 binary64))))
(pow.f64 (exp.f64 y) (+.f64 (/.f64 y #s(literal 2 binary64)) (/.f64 y #s(literal 2 binary64))))
(pow.f64 (exp.f64 y) y)
(/.f64 (-.f64 (pow.f64 (sinh.f64 (*.f64 y y)) #s(literal 2 binary64)) (pow.f64 (cosh.f64 (*.f64 y y)) #s(literal 2 binary64))) (-.f64 (sinh.f64 (*.f64 y y)) (cosh.f64 (*.f64 y y))))
(/.f64 (fma.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 y y)) (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 y y)))) #s(literal 2 binary64))
(/.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 y y)) (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 y y)))) #s(literal 2 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 (*.f64 (neg.f64 y) y))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (sinh.f64 (*.f64 y y)) #s(literal 3 binary64)) (pow.f64 (cosh.f64 (*.f64 y y)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (sinh.f64 (*.f64 y y)) (-.f64 (sinh.f64 (*.f64 y y)) (cosh.f64 (*.f64 y y))) (pow.f64 (cosh.f64 (*.f64 y y)) #s(literal 2 binary64)))))
(/.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 y y))) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 y y))))) #s(literal 4 binary64))
(/.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 y y))) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 y y))))) #s(literal 4 binary64))
(/.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 (neg.f64 y)) y))
(/.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (neg.f64 y) y)))
(/.f64 (+.f64 (pow.f64 (sinh.f64 (*.f64 y y)) #s(literal 3 binary64)) (pow.f64 (cosh.f64 (*.f64 y y)) #s(literal 3 binary64))) (+.f64 (pow.f64 (sinh.f64 (*.f64 y y)) #s(literal 2 binary64)) (-.f64 (pow.f64 (cosh.f64 (*.f64 y y)) #s(literal 2 binary64)) (*.f64 (sinh.f64 (*.f64 y y)) (cosh.f64 (*.f64 y y))))))
(/.f64 (+.f64 (pow.f64 (sinh.f64 (*.f64 y y)) #s(literal 3 binary64)) (pow.f64 (cosh.f64 (*.f64 y y)) #s(literal 3 binary64))) (fma.f64 (sinh.f64 (*.f64 y y)) (-.f64 (sinh.f64 (*.f64 y y)) (cosh.f64 (*.f64 y y))) (pow.f64 (cosh.f64 (*.f64 y y)) #s(literal 2 binary64))))
(-.f64 (/.f64 (pow.f64 (cosh.f64 (*.f64 y y)) #s(literal 2 binary64)) (exp.f64 (*.f64 (neg.f64 y) y))) (/.f64 (pow.f64 (sinh.f64 (*.f64 y y)) #s(literal 2 binary64)) (exp.f64 (*.f64 (neg.f64 y) y))))
(-.f64 (cosh.f64 (*.f64 y y)) (sinh.f64 (*.f64 (neg.f64 y) y)))
(exp.f64 (*.f64 (log.f64 (exp.f64 (neg.f64 y))) (neg.f64 y)))
(exp.f64 (*.f64 y y))
(+.f64 (/.f64 (pow.f64 (cosh.f64 (*.f64 y y)) #s(literal 3 binary64)) (fma.f64 (sinh.f64 (*.f64 y y)) (-.f64 (sinh.f64 (*.f64 y y)) (cosh.f64 (*.f64 y y))) (pow.f64 (cosh.f64 (*.f64 y y)) #s(literal 2 binary64)))) (/.f64 (pow.f64 (sinh.f64 (*.f64 y y)) #s(literal 3 binary64)) (fma.f64 (sinh.f64 (*.f64 y y)) (-.f64 (sinh.f64 (*.f64 y y)) (cosh.f64 (*.f64 y y))) (pow.f64 (cosh.f64 (*.f64 y y)) #s(literal 2 binary64)))))
(+.f64 (sinh.f64 (*.f64 y y)) (cosh.f64 (*.f64 y y)))
(+.f64 (cosh.f64 (*.f64 y y)) (sinh.f64 (*.f64 y y)))
(*.f64 (exp.f64 (log.f64 y)) (exp.f64 (log.f64 y)))
(*.f64 (neg.f64 y) (neg.f64 y))
(*.f64 y y)
(pow.f64 (exp.f64 (log.f64 y)) #s(literal 2 binary64))
(pow.f64 (neg.f64 y) #s(literal 2 binary64))
(pow.f64 (*.f64 y y) #s(literal 1 binary64))
(pow.f64 y #s(literal 2 binary64))
(neg.f64 (*.f64 (neg.f64 y) y))
(sqrt.f64 (*.f64 (*.f64 y y) (*.f64 y y)))
(fabs.f64 (*.f64 (neg.f64 y) y))
(fabs.f64 (*.f64 y y))
(exp.f64 (*.f64 (log.f64 (neg.f64 y)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 y) #s(literal 2 binary64)))
(+.f64 (cosh.f64 (*.f64 (log.f64 y) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 y) #s(literal 2 binary64))))

eval8.0ms (0.1%)

Memory
21.5MiB live, 21.5MiB allocated; 0ms collecting garbage
Compiler

Compiled 1 094 to 230 computations (79% saved)

prune2.0ms (0%)

Memory
7.0MiB live, 7.0MiB allocated; 0ms collecting garbage
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New67370
Fresh000
Picked011
Done000
Total67471
Accuracy
100.0%
Counts
71 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(*.f64 x (exp.f64 (*.f64 y y)))
79.3%
(*.f64 x #s(approx (exp (* y y)) (fma.f64 y y #s(literal 1 binary64))))
53.9%
(*.f64 x #s(approx (exp (* y y)) #s(literal 1 binary64)))
90.0%
#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 (*.f64 y y) x) (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)) x))
Compiler

Compiled 50 to 34 computations (32% saved)

simplify216.0ms (3%)

Memory
-30.0MiB live, 152.5MiB allocated; 46ms collecting garbage
Algorithm
egg-herbie
Localize:

Found 9 expressions of interest:

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

Useful iterations: 0 (0.0ms)

IterNodesCost
019116
030116
166116
2253116
31520116
45841116
08167112
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 (*.f64 y y) x) (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)) x))
(fma.f64 (*.f64 (*.f64 y y) x) (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)) x)
(*.f64 (*.f64 y y) x)
(*.f64 y y)
y
x
(fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))
(fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1/2 binary64))
#s(literal 1/6 binary64)
#s(literal 1/2 binary64)
#s(literal 1 binary64)
(*.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)
Outputs
#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 (*.f64 y y) x) (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)) x))
#s(approx (* x (exp (* y y))) (*.f64 (fma.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1/2 binary64)) y) y #s(literal 1 binary64)) x))
(fma.f64 (*.f64 (*.f64 y y) x) (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)) x)
(*.f64 (fma.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1/2 binary64)) y) y #s(literal 1 binary64)) x)
(*.f64 (*.f64 y y) x)
(*.f64 y y)
y
x
(fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))
(fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1/2 binary64))
#s(literal 1/6 binary64)
#s(literal 1/2 binary64)
#s(literal 1 binary64)
(*.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)

localize126.0ms (1.7%)

Memory
22.0MiB live, 156.3MiB allocated; 11ms collecting garbage
Localize:

Found 9 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(fma.f64 y y #s(literal 1 binary64))
accuracy0.0
(*.f64 x #s(approx (exp (* y y)) (fma.f64 y y #s(literal 1 binary64))))
accuracy16.014521963441315
#s(approx (exp (* y y)) (fma.f64 y y #s(literal 1 binary64)))
accuracy0.0
(*.f64 x #s(approx (exp (* y y)) #s(literal 1 binary64)))
accuracy29.690662145397535
#s(approx (exp (* y y)) #s(literal 1 binary64))
accuracy0.06640625
(fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))
accuracy0.09765625
(fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1/2 binary64))
accuracy6.427027353889967
#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 (*.f64 y y) x) (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)) x))
accuracy7.296388764633391
(*.f64 (*.f64 y y) x)
Samples
46.0ms256×0valid
Compiler

Compiled 92 to 18 computations (80.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 22.0ms
ival-mult: 9.0ms (41.2% of total)
ival-add: 6.0ms (27.5% of total)
const: 4.0ms (18.3% of total)
ival-exp: 2.0ms (9.2% of total)
ival-true: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series11.0ms (0.2%)

Memory
34.0MiB live, 34.0MiB allocated; 0ms collecting garbage
Counts
11 → 28
Calls
Call 1
Inputs
(fma.f64 (*.f64 (*.f64 y y) x) (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)) x)
#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 (*.f64 y y) x) (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)) x))
(*.f64 (*.f64 y y) 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))
(fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1/2 binary64))
(fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))
Outputs
(* x (+ 1 (* (pow y 2) (+ 1 (* (pow y 2) (+ 1/2 (* 1/6 (pow y 2))))))))
(* x (exp (pow y 2)))
(* x (pow y 2))
(* -1 (* x (- (* -1 (* (pow y 2) (+ 1 (* (pow y 2) (+ 1/2 (* 1/6 (pow y 2))))))) 1)))
x
(+ x (* x (pow y 2)))
(+ x (* (pow y 2) (+ x (* 1/2 (* x (pow y 2))))))
(+ x (* (pow y 2) (+ x (* (pow y 2) (+ (* 1/6 (* x (pow y 2))) (* 1/2 x))))))
(pow y 2)
1
(+ 1 (pow y 2))
(+ 1 (* (pow y 2) (+ 1 (* 1/2 (pow y 2)))))
(+ 1 (* (pow y 2) (+ 1 (* (pow y 2) (+ 1/2 (* 1/6 (pow y 2)))))))
1/2
(+ 1/2 (* 1/6 (pow y 2)))
(+ 1 (* 1/2 (pow y 2)))
(+ 1 (* (pow y 2) (+ 1/2 (* 1/6 (pow y 2)))))
(* 1/6 (* x (pow y 6)))
(* (pow y 6) (+ (* 1/6 x) (* 1/2 (/ x (pow y 2)))))
(* (pow y 6) (+ (* 1/6 x) (+ (* 1/2 (/ x (pow y 2))) (/ x (pow y 4)))))
(* (pow y 6) (+ (* 1/6 x) (+ (* 1/2 (/ x (pow y 2))) (+ (/ x (pow y 4)) (/ x (pow y 6))))))
(exp (pow y 2))
(* (pow y 2) (+ 1 (/ 1 (pow y 2))))
(* 1/6 (pow y 2))
(* (pow y 2) (+ 1/6 (* 1/2 (/ 1 (pow y 2)))))
(* 1/6 (pow y 4))
(* (pow y 4) (+ 1/6 (* 1/2 (/ 1 (pow y 2)))))
(* (pow y 4) (+ 1/6 (+ (* 1/2 (/ 1 (pow y 2))) (/ 1 (pow y 4)))))
Calls

6 calls:

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

simplify302.0ms (4.1%)

Memory
-24.4MiB live, 333.5MiB allocated; 139ms collecting garbage
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
071288
1247288
2918271
34074269
08388241
Stop Event
iter limit
node limit
Counts
28 → 27
Calls
Call 1
Inputs
(* x (+ 1 (* (pow y 2) (+ 1 (* (pow y 2) (+ 1/2 (* 1/6 (pow y 2))))))))
(* x (exp (pow y 2)))
(* x (pow y 2))
(* -1 (* x (- (* -1 (* (pow y 2) (+ 1 (* (pow y 2) (+ 1/2 (* 1/6 (pow y 2))))))) 1)))
x
(+ x (* x (pow y 2)))
(+ x (* (pow y 2) (+ x (* 1/2 (* x (pow y 2))))))
(+ x (* (pow y 2) (+ x (* (pow y 2) (+ (* 1/6 (* x (pow y 2))) (* 1/2 x))))))
(pow y 2)
1
(+ 1 (pow y 2))
(+ 1 (* (pow y 2) (+ 1 (* 1/2 (pow y 2)))))
(+ 1 (* (pow y 2) (+ 1 (* (pow y 2) (+ 1/2 (* 1/6 (pow y 2)))))))
1/2
(+ 1/2 (* 1/6 (pow y 2)))
(+ 1 (* 1/2 (pow y 2)))
(+ 1 (* (pow y 2) (+ 1/2 (* 1/6 (pow y 2)))))
(* 1/6 (* x (pow y 6)))
(* (pow y 6) (+ (* 1/6 x) (* 1/2 (/ x (pow y 2)))))
(* (pow y 6) (+ (* 1/6 x) (+ (* 1/2 (/ x (pow y 2))) (/ x (pow y 4)))))
(* (pow y 6) (+ (* 1/6 x) (+ (* 1/2 (/ x (pow y 2))) (+ (/ x (pow y 4)) (/ x (pow y 6))))))
(exp (pow y 2))
(* (pow y 2) (+ 1 (/ 1 (pow y 2))))
(* 1/6 (pow y 2))
(* (pow y 2) (+ 1/6 (* 1/2 (/ 1 (pow y 2)))))
(* 1/6 (pow y 4))
(* (pow y 4) (+ 1/6 (* 1/2 (/ 1 (pow y 2)))))
(* (pow y 4) (+ 1/6 (+ (* 1/2 (/ 1 (pow y 2))) (/ 1 (pow y 4)))))
Outputs
(* x (+ 1 (* (pow y 2) (+ 1 (* (pow y 2) (+ 1/2 (* 1/6 (pow y 2))))))))
(*.f64 (fma.f64 (pow.f64 y #s(literal 5 binary64)) (fma.f64 #s(literal 1/6 binary64) y (/.f64 #s(literal 1/2 binary64) y)) (fma.f64 y y #s(literal 1 binary64))) x)
(* x (exp (pow y 2)))
(*.f64 (pow.f64 (exp.f64 y) y) x)
(* x (pow y 2))
(*.f64 (*.f64 y y) x)
(* -1 (* x (- (* -1 (* (pow y 2) (+ 1 (* (pow y 2) (+ 1/2 (* 1/6 (pow y 2))))))) 1)))
(*.f64 (neg.f64 x) (-.f64 (*.f64 (pow.f64 y #s(literal 5 binary64)) (fma.f64 #s(literal -1/6 binary64) y (/.f64 #s(literal -1/2 binary64) y))) (fma.f64 y y #s(literal 1 binary64))))
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))))))
(*.f64 (fma.f64 (pow.f64 y #s(literal 5 binary64)) (fma.f64 #s(literal 1/6 binary64) y (/.f64 #s(literal 1/2 binary64) y)) (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 5 binary64)) (fma.f64 #s(literal 1/6 binary64) y (/.f64 #s(literal 1/2 binary64) y)) (fma.f64 y y #s(literal 1 binary64)))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* 1/6 (pow y 2)))
(fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1/2 binary64))
(+ 1 (* 1/2 (pow y 2)))
(fma.f64 #s(literal 1/2 binary64) (*.f64 y y) #s(literal 1 binary64))
(+ 1 (* (pow y 2) (+ 1/2 (* 1/6 (pow y 2)))))
(fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))
(* 1/6 (* x (pow y 6)))
(*.f64 (*.f64 (pow.f64 y #s(literal 6 binary64)) x) #s(literal 1/6 binary64))
(* (pow y 6) (+ (* 1/6 x) (* 1/2 (/ x (pow y 2)))))
(*.f64 (*.f64 x (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 y y)) #s(literal -1/6 binary64))) (pow.f64 y #s(literal 6 binary64)))
(* (pow y 6) (+ (* 1/6 x) (+ (* 1/2 (/ x (pow y 2))) (/ x (pow y 4)))))
(*.f64 (fma.f64 x (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 y y)) #s(literal -1/6 binary64)) (/.f64 x (pow.f64 y #s(literal 4 binary64)))) (pow.f64 y #s(literal 6 binary64)))
(* (pow y 6) (+ (* 1/6 x) (+ (* 1/2 (/ x (pow y 2))) (+ (/ x (pow y 4)) (/ x (pow y 6))))))
(*.f64 (fma.f64 x (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 y y)) #s(literal -1/6 binary64)) (+.f64 (/.f64 x (pow.f64 y #s(literal 6 binary64))) (/.f64 x (pow.f64 y #s(literal 4 binary64))))) (pow.f64 y #s(literal 6 binary64)))
(exp (pow y 2))
(pow.f64 (exp.f64 y) y)
(* (pow y 2) (+ 1 (/ 1 (pow y 2))))
(fma.f64 y y #s(literal 1 binary64))
(* 1/6 (pow y 2))
(*.f64 #s(literal 1/6 binary64) (*.f64 y y))
(* (pow y 2) (+ 1/6 (* 1/2 (/ 1 (pow y 2)))))
(fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1/2 binary64))
(* 1/6 (pow y 4))
(*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/6 binary64))
(* (pow y 4) (+ 1/6 (* 1/2 (/ 1 (pow y 2)))))
(*.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 #s(literal 1/6 binary64) y (/.f64 #s(literal 1/2 binary64) y)))
(* (pow y 4) (+ 1/6 (+ (* 1/2 (/ 1 (pow y 2))) (/ 1 (pow y 4)))))
(fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))

rewrite383.0ms (5.2%)

Memory
-6.4MiB live, 280.8MiB allocated; 49ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
019106
030106
1118106
2910106
08711106
Stop Event
iter limit
node limit
iter limit
Counts
11 → 244
Calls
Call 1
Inputs
(fma.f64 (*.f64 (*.f64 y y) x) (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)) x)
#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 (*.f64 y y) x) (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)) x))
(*.f64 (*.f64 y y) 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))
(fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1/2 binary64))
(fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))
Outputs
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)) (*.f64 y y) #s(literal 1 binary64)) x)
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)) x) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64))) (-.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)) y) (*.f64 x y)) x)) (/.f64 (*.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)) x) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64))) (-.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)) y) (*.f64 x y)) x))) (*.f64 (/.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)) y) (*.f64 x y)) x)) (/.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)) y) (*.f64 x y)) x)))) (+.f64 (/.f64 (*.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)) x) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64))) (-.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)) y) (*.f64 x y)) x)) (/.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)) y) (*.f64 x y)) x))))
(/.f64 (-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1/2 binary64)) y) y) (*.f64 y y) #s(literal 1 binary64)) x) (*.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1/2 binary64)) y) y) (*.f64 y y) #s(literal 1 binary64)) x)) (pow.f64 (*.f64 x (*.f64 y y)) #s(literal 2 binary64))) (-.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1/2 binary64)) y) y) (*.f64 y y) #s(literal 1 binary64)) x) (*.f64 x (*.f64 y y))))
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(+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) #s(literal 1/2 binary64))) (*.f64 (*.f64 y y) (*.f64 #s(literal 1/6 binary64) (*.f64 y y))))
(+.f64 (/.f64 (*.f64 (pow.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) (-.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1/2 binary64)) y) #s(literal 2 binary64)) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1/2 binary64)))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) (-.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1/2 binary64)) y) #s(literal 2 binary64)) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1/2 binary64)))))))
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) (-.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1/2 binary64)) y) #s(literal 2 binary64)) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1/2 binary64)))))) (/.f64 (*.f64 (pow.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) (-.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1/2 binary64)) y) #s(literal 2 binary64)) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1/2 binary64)))))))
(+.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) (*.f64 y y)) (fma.f64 #s(literal 1/2 binary64) (*.f64 y y) #s(literal 1 binary64)))
(+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y y)) (fma.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) (*.f64 y y) #s(literal 1 binary64)))
(+.f64 (*.f64 (*.f64 y y) (*.f64 #s(literal 1/6 binary64) (*.f64 y y))) (fma.f64 (*.f64 y y) #s(literal 1/2 binary64) #s(literal 1 binary64)))
(+.f64 (*.f64 (*.f64 y y) #s(literal 1/2 binary64)) (fma.f64 (*.f64 y y) (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) #s(literal 1 binary64)))
(+.f64 (pow.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1/2 binary64)) y) y))) #s(literal -1 binary64)) (/.f64 (*.f64 (pow.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64))) (fma.f64 (pow.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1/2 binary64)) y) y)))))
(+.f64 (/.f64 (*.f64 (pow.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64))) (fma.f64 (pow.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1/2 binary64)) y) y)))) (pow.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1/2 binary64)) y) y))) #s(literal -1 binary64)))
(+.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1/2 binary64)) y) y) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal -1/2 binary64)) y)) y))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1/2 binary64)) y) y))

eval74.0ms (1%)

Memory
-1.5MiB live, 42.5MiB allocated; 7ms collecting garbage
Compiler

Compiled 12 823 to 1 268 computations (90.1% saved)

prune40.0ms (0.6%)

Memory
-11.8MiB live, 32.7MiB allocated; 6ms collecting garbage
Pruning

11 alts after pruning (8 fresh and 3 done)

PrunedKeptTotal
New2928300
Fresh000
Picked123
Done011
Total29311304
Accuracy
100.0%
Counts
304 → 11
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(*.f64 x (exp.f64 (*.f64 y y)))
79.3%
(*.f64 x #s(approx (exp (* y y)) (fma.f64 y y #s(literal 1 binary64))))
53.9%
(*.f64 x #s(approx (exp (* y y)) #s(literal 1 binary64)))
91.4%
#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)) (*.f64 y y)) x x))
90.0%
#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 (*.f64 y y) x) (fma.f64 (*.f64 y y) #s(literal 1/2 binary64) (fma.f64 (*.f64 y y) (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) #s(literal 1 binary64))) x))
89.8%
#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 (*.f64 y y) x) (fma.f64 #s(approx (+ (* 1/6 (* y y)) 1/2) (*.f64 #s(literal 1/6 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1 binary64)) x))
85.1%
#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 (*.f64 y y) x) (fma.f64 #s(approx (+ (* 1/6 (* y y)) 1/2) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)) x))
90.0%
#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 y y) (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1/2 binary64)) (*.f64 x (*.f64 y y)) x) x))
90.3%
#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 x y) (fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1/2 binary64)) y) y) y y) x))
90.0%
#s(approx (* x (exp (* y y))) (fma.f64 y (*.f64 (*.f64 x y) (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) x))
90.0%
#s(approx (* x (exp (* y y))) (fma.f64 y (*.f64 y (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)) x)) x))
Compiler

Compiled 453 to 264 computations (41.7% saved)

simplify267.0ms (3.7%)

Memory
2.8MiB live, 231.8MiB allocated; 45ms collecting garbage
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 (*.f64 y y) x)
cost-diff0
#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 (*.f64 y y) x) (fma.f64 (*.f64 y y) #s(literal 1/2 binary64) (fma.f64 (*.f64 y y) (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) #s(literal 1 binary64))) x))
cost-diff2
(fma.f64 (*.f64 (*.f64 y y) x) (fma.f64 (*.f64 y y) #s(literal 1/2 binary64) (fma.f64 (*.f64 y y) (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) #s(literal 1 binary64))) x)
cost-diff4
(fma.f64 (*.f64 y y) (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) #s(literal 1 binary64))
cost-diff0
(*.f64 x y)
cost-diff0
(fma.f64 (*.f64 x y) (fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1/2 binary64)) y) y) y y) x)
cost-diff0
#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 x y) (fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1/2 binary64)) y) y) y y) x))
cost-diff2
(fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1/2 binary64)) y) y) y y)
cost-diff0
(*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)) x)
cost-diff0
(fma.f64 y (*.f64 y (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)) x)) x)
cost-diff0
#s(approx (* x (exp (* y y))) (fma.f64 y (*.f64 y (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)) x)) x))
cost-diff2
(*.f64 y (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)) x))
cost-diff0
(*.f64 y y)
cost-diff0
(*.f64 (*.f64 y y) x)
cost-diff0
#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 (*.f64 y y) x) (fma.f64 #s(approx (+ (* 1/6 (* y y)) 1/2) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)) x))
cost-diff2
(fma.f64 (*.f64 (*.f64 y y) x) (fma.f64 #s(approx (+ (* 1/6 (* y y)) 1/2) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)) x)
cost-diff0
(fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))
cost-diff0
(fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)) (*.f64 y y)) x x)
cost-diff0
#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)) (*.f64 y y)) x x))
cost-diff2
(*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)) (*.f64 y y))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
036443
067431
1157431
2624419
33842417
08243401
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)) (*.f64 y y)) x x))
(fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)) (*.f64 y y)) x x)
(*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)) (*.f64 y y))
(fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))
(fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1/2 binary64))
#s(literal 1/6 binary64)
(*.f64 y y)
y
#s(literal 1/2 binary64)
#s(literal 1 binary64)
x
#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 (*.f64 y y) x) (fma.f64 #s(approx (+ (* 1/6 (* y y)) 1/2) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)) x))
(fma.f64 (*.f64 (*.f64 y y) x) (fma.f64 #s(approx (+ (* 1/6 (* y y)) 1/2) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)) x)
(*.f64 (*.f64 y y) x)
(*.f64 y y)
y
x
(fma.f64 #s(approx (+ (* 1/6 (* y y)) 1/2) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))
#s(approx (+ (* 1/6 (* y y)) 1/2) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
#s(literal 1 binary64)
#s(approx (* x (exp (* y y))) (fma.f64 y (*.f64 y (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)) x)) x))
(fma.f64 y (*.f64 y (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)) x)) x)
y
(*.f64 y (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)) x))
(*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)) x)
(fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))
(fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1/2 binary64))
#s(literal 1/6 binary64)
(*.f64 y y)
#s(literal 1/2 binary64)
#s(literal 1 binary64)
x
#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 x y) (fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1/2 binary64)) y) y) y y) x))
(fma.f64 (*.f64 x y) (fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1/2 binary64)) y) y) y y) x)
(*.f64 x y)
x
y
(fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1/2 binary64)) y) y) y y)
(*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1/2 binary64)) y) y)
(*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1/2 binary64)) y)
(fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1/2 binary64))
#s(literal 1/6 binary64)
(*.f64 y y)
#s(literal 1/2 binary64)
#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 (*.f64 y y) x) (fma.f64 (*.f64 y y) #s(literal 1/2 binary64) (fma.f64 (*.f64 y y) (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) #s(literal 1 binary64))) x))
(fma.f64 (*.f64 (*.f64 y y) x) (fma.f64 (*.f64 y y) #s(literal 1/2 binary64) (fma.f64 (*.f64 y y) (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) #s(literal 1 binary64))) x)
(*.f64 (*.f64 y y) x)
(*.f64 y y)
y
x
(fma.f64 (*.f64 y y) #s(literal 1/2 binary64) (fma.f64 (*.f64 y y) (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) #s(literal 1 binary64)))
#s(literal 1/2 binary64)
(fma.f64 (*.f64 y y) (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) #s(literal 1 binary64))
(*.f64 #s(literal 1/6 binary64) (*.f64 y y))
#s(literal 1/6 binary64)
#s(literal 1 binary64)
Outputs
#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)) (*.f64 y y)) x x))
#s(approx (* x (exp (* y y))) (*.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (fma.f64 y y #s(literal 1 binary64))) x))
(fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)) (*.f64 y y)) x x)
(*.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (fma.f64 y y #s(literal 1 binary64))) x)
(*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)) (*.f64 y y))
(fma.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 y y))
(fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))
(fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))
(fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1/2 binary64))
(fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64))
#s(literal 1/6 binary64)
(*.f64 y y)
y
#s(literal 1/2 binary64)
#s(literal 1 binary64)
x
#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 (*.f64 y y) x) (fma.f64 #s(approx (+ (* 1/6 (* y y)) 1/2) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)) x))
#s(approx (* x (exp (* y y))) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* 1/6 (* y y)) 1/2) #s(literal 1/2 binary64)) (pow.f64 y #s(literal 3 binary64)) y) y #s(literal 1 binary64)) x))
(fma.f64 (*.f64 (*.f64 y y) x) (fma.f64 #s(approx (+ (* 1/6 (* y y)) 1/2) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)) x)
(*.f64 (fma.f64 (fma.f64 #s(approx (+ (* 1/6 (* y y)) 1/2) #s(literal 1/2 binary64)) (pow.f64 y #s(literal 3 binary64)) y) y #s(literal 1 binary64)) x)
(*.f64 (*.f64 y y) x)
(*.f64 y y)
y
x
(fma.f64 #s(approx (+ (* 1/6 (* y y)) 1/2) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))
#s(approx (+ (* 1/6 (* y y)) 1/2) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
#s(literal 1 binary64)
#s(approx (* x (exp (* y y))) (fma.f64 y (*.f64 y (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)) x)) x))
#s(approx (* x (exp (* y y))) (*.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (fma.f64 y y #s(literal 1 binary64))) x))
(fma.f64 y (*.f64 y (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)) x)) x)
(*.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (fma.f64 y y #s(literal 1 binary64))) x)
y
(*.f64 y (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)) x))
(*.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) y) x)
(*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)) x)
(*.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)) x)
(fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))
(fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))
(fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1/2 binary64))
(fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64))
#s(literal 1/6 binary64)
(*.f64 y y)
#s(literal 1/2 binary64)
#s(literal 1 binary64)
x
#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 x y) (fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1/2 binary64)) y) y) y y) x))
#s(approx (* x (exp (* y y))) (*.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (fma.f64 y y #s(literal 1 binary64))) x))
(fma.f64 (*.f64 x y) (fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1/2 binary64)) y) y) y y) x)
(*.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (fma.f64 y y #s(literal 1 binary64))) x)
(*.f64 x y)
(*.f64 y x)
x
y
(fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1/2 binary64)) y) y) y y)
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) y)
(*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1/2 binary64)) y) y)
(*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) y) y)
(*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1/2 binary64)) y)
(*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) y)
(fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1/2 binary64))
(fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64))
#s(literal 1/6 binary64)
(*.f64 y y)
#s(literal 1/2 binary64)
#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 (*.f64 y y) x) (fma.f64 (*.f64 y y) #s(literal 1/2 binary64) (fma.f64 (*.f64 y y) (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) #s(literal 1 binary64))) x))
#s(approx (* x (exp (* y y))) (*.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (fma.f64 y y #s(literal 1 binary64))) x))
(fma.f64 (*.f64 (*.f64 y y) x) (fma.f64 (*.f64 y y) #s(literal 1/2 binary64) (fma.f64 (*.f64 y y) (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) #s(literal 1 binary64))) x)
(*.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (fma.f64 y y #s(literal 1 binary64))) x)
(*.f64 (*.f64 y y) x)
(*.f64 y y)
y
x
(fma.f64 (*.f64 y y) #s(literal 1/2 binary64) (fma.f64 (*.f64 y y) (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) #s(literal 1 binary64)))
(fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))
#s(literal 1/2 binary64)
(fma.f64 (*.f64 y y) (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) #s(literal 1 binary64))
(fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/6 binary64) #s(literal 1 binary64))
(*.f64 #s(literal 1/6 binary64) (*.f64 y y))
(*.f64 (*.f64 y y) #s(literal 1/6 binary64))
#s(literal 1/6 binary64)
#s(literal 1 binary64)

localize231.0ms (3.2%)

Memory
24.1MiB live, 277.9MiB allocated; 54ms collecting garbage
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.0703125
(fma.f64 (*.f64 y y) (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) #s(literal 1 binary64))
accuracy0.203125
(*.f64 #s(literal 1/6 binary64) (*.f64 y y))
accuracy6.427027353889967
#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 (*.f64 y y) x) (fma.f64 (*.f64 y y) #s(literal 1/2 binary64) (fma.f64 (*.f64 y y) (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) #s(literal 1 binary64))) x))
accuracy7.296388764633391
(*.f64 (*.f64 y y) x)
accuracy0.07421875
(*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1/2 binary64)) y)
accuracy0.09765625
(fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1/2 binary64))
accuracy0.2608845237076245
(fma.f64 (*.f64 x y) (fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1/2 binary64)) y) y) y y) x)
accuracy6.427027353889967
#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 x y) (fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1/2 binary64)) y) y) y y) x))
accuracy0.06640625
(fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))
accuracy0.09765625
(fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1/2 binary64))
accuracy1.4432677828520868
(*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)) x)
accuracy6.427027353889967
#s(approx (* x (exp (* y y))) (fma.f64 y (*.f64 y (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)) x)) x))
accuracy0.06640625
(fma.f64 #s(approx (+ (* 1/6 (* y y)) 1/2) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))
accuracy6.427027353889967
#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 (*.f64 y y) x) (fma.f64 #s(approx (+ (* 1/6 (* y y)) 1/2) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)) x))
accuracy7.296388764633391
(*.f64 (*.f64 y y) x)
accuracy29.24469118636562
#s(approx (+ (* 1/6 (* y y)) 1/2) #s(literal 1/2 binary64))
accuracy0.06640625
(fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))
accuracy0.09765625
(fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1/2 binary64))
accuracy0.9666540175878673
(fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)) (*.f64 y y)) x x)
accuracy6.427027353889967
#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)) (*.f64 y y)) x x))
Samples
206.0ms256×0valid
Compiler

Compiled 376 to 37 computations (90.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 186.0ms
const: 81.0ms (43.5% of total)
ival-add: 61.0ms (32.8% of total)
ival-mult: 41.0ms (22% of total)
ival-exp: 2.0ms (1.1% of total)
ival-true: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series43.0ms (0.6%)

Memory
0.6MiB live, 94.9MiB allocated; 7ms collecting garbage
Counts
24 → 60
Calls
Call 1
Inputs
(*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)) (*.f64 y y))
#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)) (*.f64 y y)) x x))
(fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)) (*.f64 y y)) x x)
(fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))
(fma.f64 (*.f64 (*.f64 y y) x) (fma.f64 #s(approx (+ (* 1/6 (* y y)) 1/2) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)) x)
#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 (*.f64 y y) x) (fma.f64 #s(approx (+ (* 1/6 (* y y)) 1/2) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)) x))
(*.f64 (*.f64 y y) x)
(*.f64 y y)
(*.f64 y (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)) x))
#s(approx (* x (exp (* y y))) (fma.f64 y (*.f64 y (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)) x)) x))
(fma.f64 y (*.f64 y (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)) x)) x)
(*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)) x)
(fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1/2 binary64)) y) y) y y)
#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 x y) (fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1/2 binary64)) y) y) y y) x))
(fma.f64 (*.f64 x y) (fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1/2 binary64)) y) y) y y) x)
(*.f64 x y)
(fma.f64 (*.f64 y y) (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) #s(literal 1 binary64))
(fma.f64 (*.f64 (*.f64 y y) x) (fma.f64 (*.f64 y y) #s(literal 1/2 binary64) (fma.f64 (*.f64 y y) (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) #s(literal 1 binary64))) x)
#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 (*.f64 y y) x) (fma.f64 (*.f64 y y) #s(literal 1/2 binary64) (fma.f64 (*.f64 y y) (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) #s(literal 1 binary64))) x))
(fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1/2 binary64))
#s(approx (+ (* 1/6 (* y y)) 1/2) #s(literal 1/2 binary64))
(fma.f64 #s(approx (+ (* 1/6 (* y y)) 1/2) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))
(*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1/2 binary64)) y)
(*.f64 #s(literal 1/6 binary64) (*.f64 y y))
Outputs
(* x (exp (pow y 2)))
(* x (+ 1 (* (pow y 2) (+ 1 (* (pow y 2) (+ 1/2 (* 1/6 (pow y 2))))))))
(* x (pow y 2))
(* x (* y (+ 1 (* (pow y 2) (+ 1/2 (* 1/6 (pow y 2)))))))
(* x (+ 1 (* (pow y 2) (+ 1/2 (* 1/6 (pow y 2))))))
(* x (+ 1 (* y (+ y (* (pow y 3) (+ 1/2 (* 1/6 (pow y 2))))))))
(* x y)
(* x (+ 1 (* (pow y 2) (+ 1 (+ (* 1/6 (pow y 4)) (* 1/2 (pow y 2)))))))
(* -1 (* x (- (* -1 (* (pow y 2) (+ 1 (* (pow y 2) (+ 1/2 (* 1/6 (pow y 2))))))) 1)))
(* -1 (* x (- (* -1 (* y (+ y (* (pow y 3) (+ 1/2 (* 1/6 (pow y 2))))))) 1)))
(* -1 (* x (- (* -1 (* (pow y 2) (+ 1 (+ (* 1/6 (pow y 4)) (* 1/2 (pow y 2)))))) 1)))
(pow y 2)
(* (pow y 2) (+ 1 (* 1/2 (pow y 2))))
(* (pow y 2) (+ 1 (* (pow y 2) (+ 1/2 (* 1/6 (pow y 2))))))
x
(+ x (* x (pow y 2)))
(+ x (* (pow y 2) (+ x (* 1/2 (* x (pow y 2))))))
(+ x (* (pow y 2) (+ x (* (pow y 2) (+ (* 1/6 (* x (pow y 2))) (* 1/2 x))))))
1
(+ 1 (* 1/2 (pow y 2)))
(+ 1 (* (pow y 2) (+ 1/2 (* 1/6 (pow y 2)))))
(* y (+ x (* 1/2 (* x (pow y 2)))))
(* y (+ x (* (pow y 2) (+ (* 1/6 (* x (pow y 2))) (* 1/2 x)))))
(+ x (* 1/2 (* x (pow y 2))))
(+ x (* (pow y 2) (+ (* 1/6 (* x (pow y 2))) (* 1/2 x))))
y
(* y (+ 1 (* 1/2 (pow y 2))))
(* y (+ 1 (* (pow y 2) (+ 1/2 (* 1/6 (pow y 2))))))
(+ 1 (* 1/6 (pow y 4)))
1/2
(+ 1/2 (* 1/6 (pow y 2)))
(* 1/2 y)
(* y (+ 1/2 (* 1/6 (pow y 2))))
(* 1/6 (pow y 2))
(* 1/6 (pow y 6))
(* (pow y 6) (+ 1/6 (* 1/2 (/ 1 (pow y 2)))))
(* (pow y 6) (+ 1/6 (+ (* 1/2 (/ 1 (pow y 2))) (/ 1 (pow y 4)))))
(* 1/6 (* x (pow y 6)))
(* (pow y 6) (+ (* 1/6 x) (* 1/2 (/ x (pow y 2)))))
(* (pow y 6) (+ (* 1/6 x) (+ (* 1/2 (/ x (pow y 2))) (/ x (pow y 4)))))
(* (pow y 6) (+ (* 1/6 x) (+ (* 1/2 (/ x (pow y 2))) (+ (/ x (pow y 4)) (/ x (pow y 6))))))
(* 1/6 (pow y 4))
(* (pow y 4) (+ 1/6 (* 1/2 (/ 1 (pow y 2)))))
(* (pow y 4) (+ 1/6 (+ (* 1/2 (/ 1 (pow y 2))) (/ 1 (pow y 4)))))
(* 1/6 (* x (pow y 5)))
(* (pow y 5) (+ (* 1/6 x) (* 1/2 (/ x (pow y 2)))))
(* (pow y 5) (+ (* 1/6 x) (+ (* 1/2 (/ x (pow y 2))) (/ x (pow y 4)))))
(* 1/6 (* x (pow y 4)))
(* (pow y 4) (+ (* 1/6 x) (* 1/2 (/ x (pow y 2)))))
(* (pow y 4) (+ (* 1/6 x) (+ (* 1/2 (/ x (pow y 2))) (/ x (pow y 4)))))
(* 1/6 (pow y 5))
(* (pow y 5) (+ 1/6 (* 1/2 (/ 1 (pow y 2)))))
(* (pow y 5) (+ 1/6 (+ (* 1/2 (/ 1 (pow y 2))) (/ 1 (pow y 4)))))
(* (pow y 4) (+ 1/6 (/ 1 (pow y 4))))
(* (pow y 2) (+ 1/6 (* 1/2 (/ 1 (pow y 2)))))
(* 1/6 (pow y 3))
(* (pow y 3) (+ 1/6 (* 1/2 (/ 1 (pow y 2)))))
(* -1 (* (pow y 5) (+ (* -1/2 (/ x (pow y 2))) (* -1/6 x))))
(* -1 (* (pow y 5) (+ (* -1 (/ x (pow y 4))) (+ (* -1/2 (/ x (pow y 2))) (* -1/6 x)))))
(* -1 (* (pow y 5) (- (* -1 (/ (+ 1/2 (/ 1 (pow y 2))) (pow y 2))) 1/6)))
Calls

6 calls:

TimeVariablePointExpression
16.0ms
x
@0
((* (+ (* (+ (* 1/6 (* y y)) 1/2) (* y y)) 1) (* y y)) (* x (exp (* y y))) (+ (* (* (+ (* (+ (* 1/6 (* y y)) 1/2) (* y y)) 1) (* y y)) x) x) (+ (* (+ (* 1/6 (* y y)) 1/2) (* y y)) 1) (+ (* (* (* y y) x) (+ (* (+ (* 1/6 (* y y)) 1/2) (* y y)) 1)) x) (* x (exp (* y y))) (* (* y y) x) (* y y) (* y (* (+ (* (+ (* 1/6 (* y y)) 1/2) (* y y)) 1) x)) (* x (exp (* y y))) (+ (* y (* y (* (+ (* (+ (* 1/6 (* y y)) 1/2) (* y y)) 1) x))) x) (* (+ (* (+ (* 1/6 (* y y)) 1/2) (* y y)) 1) x) (+ (* (* (* (+ (* 1/6 (* y y)) 1/2) y) y) y) y) (* x (exp (* y y))) (+ (* (* x y) (+ (* (* (* (+ (* 1/6 (* y y)) 1/2) y) y) y) y)) x) (* x y) (+ (* (* y y) (* 1/6 (* y y))) 1) (+ (* (* (* y y) x) (+ (* (* y y) 1/2) (+ (* (* y y) (* 1/6 (* y y))) 1))) x) (* x (exp (* y y))) (+ (* 1/6 (* y y)) 1/2) (+ (* 1/6 (* y y)) 1/2) (+ (* (+ (* 1/6 (* y y)) 1/2) (* y y)) 1) (* (+ (* 1/6 (* y y)) 1/2) y) (* 1/6 (* y y)))
9.0ms
x
@-inf
((* (+ (* (+ (* 1/6 (* y y)) 1/2) (* y y)) 1) (* y y)) (* x (exp (* y y))) (+ (* (* (+ (* (+ (* 1/6 (* y y)) 1/2) (* y y)) 1) (* y y)) x) x) (+ (* (+ (* 1/6 (* y y)) 1/2) (* y y)) 1) (+ (* (* (* y y) x) (+ (* (+ (* 1/6 (* y y)) 1/2) (* y y)) 1)) x) (* x (exp (* y y))) (* (* y y) x) (* y y) (* y (* (+ (* (+ (* 1/6 (* y y)) 1/2) (* y y)) 1) x)) (* x (exp (* y y))) (+ (* y (* y (* (+ (* (+ (* 1/6 (* y y)) 1/2) (* y y)) 1) x))) x) (* (+ (* (+ (* 1/6 (* y y)) 1/2) (* y y)) 1) x) (+ (* (* (* (+ (* 1/6 (* y y)) 1/2) y) y) y) y) (* x (exp (* y y))) (+ (* (* x y) (+ (* (* (* (+ (* 1/6 (* y y)) 1/2) y) y) y) y)) x) (* x y) (+ (* (* y y) (* 1/6 (* y y))) 1) (+ (* (* (* y y) x) (+ (* (* y y) 1/2) (+ (* (* y y) (* 1/6 (* y y))) 1))) x) (* x (exp (* y y))) (+ (* 1/6 (* y y)) 1/2) (+ (* 1/6 (* y y)) 1/2) (+ (* (+ (* 1/6 (* y y)) 1/2) (* y y)) 1) (* (+ (* 1/6 (* y y)) 1/2) y) (* 1/6 (* y y)))
6.0ms
y
@inf
((* (+ (* (+ (* 1/6 (* y y)) 1/2) (* y y)) 1) (* y y)) (* x (exp (* y y))) (+ (* (* (+ (* (+ (* 1/6 (* y y)) 1/2) (* y y)) 1) (* y y)) x) x) (+ (* (+ (* 1/6 (* y y)) 1/2) (* y y)) 1) (+ (* (* (* y y) x) (+ (* (+ (* 1/6 (* y y)) 1/2) (* y y)) 1)) x) (* x (exp (* y y))) (* (* y y) x) (* y y) (* y (* (+ (* (+ (* 1/6 (* y y)) 1/2) (* y y)) 1) x)) (* x (exp (* y y))) (+ (* y (* y (* (+ (* (+ (* 1/6 (* y y)) 1/2) (* y y)) 1) x))) x) (* (+ (* (+ (* 1/6 (* y y)) 1/2) (* y y)) 1) x) (+ (* (* (* (+ (* 1/6 (* y y)) 1/2) y) y) y) y) (* x (exp (* y y))) (+ (* (* x y) (+ (* (* (* (+ (* 1/6 (* y y)) 1/2) y) y) y) y)) x) (* x y) (+ (* (* y y) (* 1/6 (* y y))) 1) (+ (* (* (* y y) x) (+ (* (* y y) 1/2) (+ (* (* y y) (* 1/6 (* y y))) 1))) x) (* x (exp (* y y))) (+ (* 1/6 (* y y)) 1/2) (+ (* 1/6 (* y y)) 1/2) (+ (* (+ (* 1/6 (* y y)) 1/2) (* y y)) 1) (* (+ (* 1/6 (* y y)) 1/2) y) (* 1/6 (* y y)))
5.0ms
x
@inf
((* (+ (* (+ (* 1/6 (* y y)) 1/2) (* y y)) 1) (* y y)) (* x (exp (* y y))) (+ (* (* (+ (* (+ (* 1/6 (* y y)) 1/2) (* y y)) 1) (* y y)) x) x) (+ (* (+ (* 1/6 (* y y)) 1/2) (* y y)) 1) (+ (* (* (* y y) x) (+ (* (+ (* 1/6 (* y y)) 1/2) (* y y)) 1)) x) (* x (exp (* y y))) (* (* y y) x) (* y y) (* y (* (+ (* (+ (* 1/6 (* y y)) 1/2) (* y y)) 1) x)) (* x (exp (* y y))) (+ (* y (* y (* (+ (* (+ (* 1/6 (* y y)) 1/2) (* y y)) 1) x))) x) (* (+ (* (+ (* 1/6 (* y y)) 1/2) (* y y)) 1) x) (+ (* (* (* (+ (* 1/6 (* y y)) 1/2) y) y) y) y) (* x (exp (* y y))) (+ (* (* x y) (+ (* (* (* (+ (* 1/6 (* y y)) 1/2) y) y) y) y)) x) (* x y) (+ (* (* y y) (* 1/6 (* y y))) 1) (+ (* (* (* y y) x) (+ (* (* y y) 1/2) (+ (* (* y y) (* 1/6 (* y y))) 1))) x) (* x (exp (* y y))) (+ (* 1/6 (* y y)) 1/2) (+ (* 1/6 (* y y)) 1/2) (+ (* (+ (* 1/6 (* y y)) 1/2) (* y y)) 1) (* (+ (* 1/6 (* y y)) 1/2) y) (* 1/6 (* y y)))
4.0ms
y
@-inf
((* (+ (* (+ (* 1/6 (* y y)) 1/2) (* y y)) 1) (* y y)) (* x (exp (* y y))) (+ (* (* (+ (* (+ (* 1/6 (* y y)) 1/2) (* y y)) 1) (* y y)) x) x) (+ (* (+ (* 1/6 (* y y)) 1/2) (* y y)) 1) (+ (* (* (* y y) x) (+ (* (+ (* 1/6 (* y y)) 1/2) (* y y)) 1)) x) (* x (exp (* y y))) (* (* y y) x) (* y y) (* y (* (+ (* (+ (* 1/6 (* y y)) 1/2) (* y y)) 1) x)) (* x (exp (* y y))) (+ (* y (* y (* (+ (* (+ (* 1/6 (* y y)) 1/2) (* y y)) 1) x))) x) (* (+ (* (+ (* 1/6 (* y y)) 1/2) (* y y)) 1) x) (+ (* (* (* (+ (* 1/6 (* y y)) 1/2) y) y) y) y) (* x (exp (* y y))) (+ (* (* x y) (+ (* (* (* (+ (* 1/6 (* y y)) 1/2) y) y) y) y)) x) (* x y) (+ (* (* y y) (* 1/6 (* y y))) 1) (+ (* (* (* y y) x) (+ (* (* y y) 1/2) (+ (* (* y y) (* 1/6 (* y y))) 1))) x) (* x (exp (* y y))) (+ (* 1/6 (* y y)) 1/2) (+ (* 1/6 (* y y)) 1/2) (+ (* (+ (* 1/6 (* y y)) 1/2) (* y y)) 1) (* (+ (* 1/6 (* y y)) 1/2) y) (* 1/6 (* y y)))

simplify236.0ms (3.2%)

Memory
-5.3MiB live, 223.2MiB allocated; 19ms collecting garbage
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0134721
1510691
21941669
36104669
08064617
Stop Event
iter limit
node limit
Counts
60 → 58
Calls
Call 1
Inputs
(* x (exp (pow y 2)))
(* x (+ 1 (* (pow y 2) (+ 1 (* (pow y 2) (+ 1/2 (* 1/6 (pow y 2))))))))
(* x (pow y 2))
(* x (* y (+ 1 (* (pow y 2) (+ 1/2 (* 1/6 (pow y 2)))))))
(* x (+ 1 (* (pow y 2) (+ 1/2 (* 1/6 (pow y 2))))))
(* x (+ 1 (* y (+ y (* (pow y 3) (+ 1/2 (* 1/6 (pow y 2))))))))
(* x y)
(* x (+ 1 (* (pow y 2) (+ 1 (+ (* 1/6 (pow y 4)) (* 1/2 (pow y 2)))))))
(* -1 (* x (- (* -1 (* (pow y 2) (+ 1 (* (pow y 2) (+ 1/2 (* 1/6 (pow y 2))))))) 1)))
(* -1 (* x (- (* -1 (* y (+ y (* (pow y 3) (+ 1/2 (* 1/6 (pow y 2))))))) 1)))
(* -1 (* x (- (* -1 (* (pow y 2) (+ 1 (+ (* 1/6 (pow y 4)) (* 1/2 (pow y 2)))))) 1)))
(pow y 2)
(* (pow y 2) (+ 1 (* 1/2 (pow y 2))))
(* (pow y 2) (+ 1 (* (pow y 2) (+ 1/2 (* 1/6 (pow y 2))))))
x
(+ x (* x (pow y 2)))
(+ x (* (pow y 2) (+ x (* 1/2 (* x (pow y 2))))))
(+ x (* (pow y 2) (+ x (* (pow y 2) (+ (* 1/6 (* x (pow y 2))) (* 1/2 x))))))
1
(+ 1 (* 1/2 (pow y 2)))
(+ 1 (* (pow y 2) (+ 1/2 (* 1/6 (pow y 2)))))
(* y (+ x (* 1/2 (* x (pow y 2)))))
(* y (+ x (* (pow y 2) (+ (* 1/6 (* x (pow y 2))) (* 1/2 x)))))
(+ x (* 1/2 (* x (pow y 2))))
(+ x (* (pow y 2) (+ (* 1/6 (* x (pow y 2))) (* 1/2 x))))
y
(* y (+ 1 (* 1/2 (pow y 2))))
(* y (+ 1 (* (pow y 2) (+ 1/2 (* 1/6 (pow y 2))))))
(+ 1 (* 1/6 (pow y 4)))
1/2
(+ 1/2 (* 1/6 (pow y 2)))
(* 1/2 y)
(* y (+ 1/2 (* 1/6 (pow y 2))))
(* 1/6 (pow y 2))
(* 1/6 (pow y 6))
(* (pow y 6) (+ 1/6 (* 1/2 (/ 1 (pow y 2)))))
(* (pow y 6) (+ 1/6 (+ (* 1/2 (/ 1 (pow y 2))) (/ 1 (pow y 4)))))
(* 1/6 (* x (pow y 6)))
(* (pow y 6) (+ (* 1/6 x) (* 1/2 (/ x (pow y 2)))))
(* (pow y 6) (+ (* 1/6 x) (+ (* 1/2 (/ x (pow y 2))) (/ x (pow y 4)))))
(* (pow y 6) (+ (* 1/6 x) (+ (* 1/2 (/ x (pow y 2))) (+ (/ x (pow y 4)) (/ x (pow y 6))))))
(* 1/6 (pow y 4))
(* (pow y 4) (+ 1/6 (* 1/2 (/ 1 (pow y 2)))))
(* (pow y 4) (+ 1/6 (+ (* 1/2 (/ 1 (pow y 2))) (/ 1 (pow y 4)))))
(* 1/6 (* x (pow y 5)))
(* (pow y 5) (+ (* 1/6 x) (* 1/2 (/ x (pow y 2)))))
(* (pow y 5) (+ (* 1/6 x) (+ (* 1/2 (/ x (pow y 2))) (/ x (pow y 4)))))
(* 1/6 (* x (pow y 4)))
(* (pow y 4) (+ (* 1/6 x) (* 1/2 (/ x (pow y 2)))))
(* (pow y 4) (+ (* 1/6 x) (+ (* 1/2 (/ x (pow y 2))) (/ x (pow y 4)))))
(* 1/6 (pow y 5))
(* (pow y 5) (+ 1/6 (* 1/2 (/ 1 (pow y 2)))))
(* (pow y 5) (+ 1/6 (+ (* 1/2 (/ 1 (pow y 2))) (/ 1 (pow y 4)))))
(* (pow y 4) (+ 1/6 (/ 1 (pow y 4))))
(* (pow y 2) (+ 1/6 (* 1/2 (/ 1 (pow y 2)))))
(* 1/6 (pow y 3))
(* (pow y 3) (+ 1/6 (* 1/2 (/ 1 (pow y 2)))))
(* -1 (* (pow y 5) (+ (* -1/2 (/ x (pow y 2))) (* -1/6 x))))
(* -1 (* (pow y 5) (+ (* -1 (/ x (pow y 4))) (+ (* -1/2 (/ x (pow y 2))) (* -1/6 x)))))
(* -1 (* (pow y 5) (- (* -1 (/ (+ 1/2 (/ 1 (pow y 2))) (pow y 2))) 1/6)))
Outputs
(* x (exp (pow y 2)))
(*.f64 (pow.f64 (exp.f64 y) y) x)
(* x (+ 1 (* (pow y 2) (+ 1 (* (pow y 2) (+ 1/2 (* 1/6 (pow y 2))))))))
(*.f64 (fma.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) y) y #s(literal 1 binary64)) x)
(* x (pow y 2))
(*.f64 (*.f64 y y) x)
(* x (* y (+ 1 (* (pow y 2) (+ 1/2 (* 1/6 (pow y 2)))))))
(*.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) y) x)
(* x (+ 1 (* (pow y 2) (+ 1/2 (* 1/6 (pow y 2))))))
(*.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)) x)
(* x (+ 1 (* y (+ y (* (pow y 3) (+ 1/2 (* 1/6 (pow y 2))))))))
(*.f64 (fma.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) y) y #s(literal 1 binary64)) x)
(* x y)
(*.f64 x y)
(* x (+ 1 (* (pow y 2) (+ 1 (+ (* 1/6 (pow y 4)) (* 1/2 (pow y 2)))))))
(*.f64 (fma.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) y) y #s(literal 1 binary64)) x)
(* -1 (* x (- (* -1 (* (pow y 2) (+ 1 (* (pow y 2) (+ 1/2 (* 1/6 (pow y 2))))))) 1)))
(*.f64 (fma.f64 y y (neg.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal -1/2 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal 1 binary64)))) x)
(* -1 (* x (- (* -1 (* y (+ y (* (pow y 3) (+ 1/2 (* 1/6 (pow y 2))))))) 1)))
(*.f64 (fma.f64 y y (neg.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal -1/2 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal 1 binary64)))) x)
(* -1 (* x (- (* -1 (* (pow y 2) (+ 1 (+ (* 1/6 (pow y 4)) (* 1/2 (pow y 2)))))) 1)))
(*.f64 (fma.f64 y y (neg.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal -1/2 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal 1 binary64)))) x)
(pow y 2)
(*.f64 y y)
(* (pow y 2) (+ 1 (* 1/2 (pow y 2))))
(*.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1/2 binary64) y) y)
(* (pow y 2) (+ 1 (* (pow y 2) (+ 1/2 (* 1/6 (pow y 2))))))
(*.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) y) y)
x
(+ x (* x (pow y 2)))
(fma.f64 (*.f64 x y) y x)
(+ x (* (pow y 2) (+ x (* 1/2 (* x (pow y 2))))))
(fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/2 binary64) #s(literal 1 binary64)) x) y) y x)
(+ x (* (pow y 2) (+ x (* (pow y 2) (+ (* 1/6 (* x (pow y 2))) (* 1/2 x))))))
(*.f64 (fma.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) y) y #s(literal 1 binary64)) x)
1
#s(literal 1 binary64)
(+ 1 (* 1/2 (pow y 2)))
(fma.f64 (*.f64 y y) #s(literal 1/2 binary64) #s(literal 1 binary64))
(+ 1 (* (pow y 2) (+ 1/2 (* 1/6 (pow y 2)))))
(fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))
(* y (+ x (* 1/2 (* x (pow y 2)))))
(*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/2 binary64) #s(literal 1 binary64)) x) y)
(* y (+ x (* (pow y 2) (+ (* 1/6 (* x (pow y 2))) (* 1/2 x)))))
(*.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) y) x)
(+ x (* 1/2 (* x (pow y 2))))
(*.f64 (fma.f64 (*.f64 y y) #s(literal 1/2 binary64) #s(literal 1 binary64)) x)
(+ x (* (pow y 2) (+ (* 1/6 (* x (pow y 2))) (* 1/2 x))))
(*.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)) x)
y
(* y (+ 1 (* 1/2 (pow y 2))))
(fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1/2 binary64) y)
(* y (+ 1 (* (pow y 2) (+ 1/2 (* 1/6 (pow y 2))))))
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) y)
(+ 1 (* 1/6 (pow y 4)))
(fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/6 binary64) #s(literal 1 binary64))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* 1/6 (pow y 2)))
(fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64))
(* 1/2 y)
(*.f64 #s(literal 1/2 binary64) y)
(* y (+ 1/2 (* 1/6 (pow y 2))))
(*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) y)
(* 1/6 (pow y 2))
(*.f64 (*.f64 y y) #s(literal 1/6 binary64))
(* 1/6 (pow y 6))
(*.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1/6 binary64))
(* (pow y 6) (+ 1/6 (* 1/2 (/ 1 (pow y 2)))))
(*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 y y)) #s(literal 1/6 binary64)) (pow.f64 y #s(literal 6 binary64)))
(* (pow y 6) (+ 1/6 (+ (* 1/2 (/ 1 (pow y 2))) (/ 1 (pow y 4)))))
(*.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))) #s(literal 1/6 binary64)) (/.f64 #s(literal -1/2 binary64) (*.f64 y y))) (pow.f64 y #s(literal 6 binary64)))
(* 1/6 (* x (pow y 6)))
(*.f64 (*.f64 (pow.f64 y #s(literal 6 binary64)) x) #s(literal 1/6 binary64))
(* (pow y 6) (+ (* 1/6 x) (* 1/2 (/ x (pow y 2)))))
(*.f64 (*.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 y y)) #s(literal 1/6 binary64))) (pow.f64 y #s(literal 6 binary64)))
(* (pow y 6) (+ (* 1/6 x) (+ (* 1/2 (/ x (pow y 2))) (/ x (pow y 4)))))
(*.f64 (fma.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 y y)) #s(literal 1/6 binary64)) (/.f64 x (pow.f64 y #s(literal 4 binary64)))) (pow.f64 y #s(literal 6 binary64)))
(* (pow y 6) (+ (* 1/6 x) (+ (* 1/2 (/ x (pow y 2))) (+ (/ x (pow y 4)) (/ x (pow y 6))))))
(*.f64 (fma.f64 x (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 y y)) #s(literal -1/6 binary64)) (+.f64 (/.f64 x (pow.f64 y #s(literal 6 binary64))) (/.f64 x (pow.f64 y #s(literal 4 binary64))))) (pow.f64 y #s(literal 6 binary64)))
(* 1/6 (pow y 4))
(*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/6 binary64))
(* (pow y 4) (+ 1/6 (* 1/2 (/ 1 (pow y 2)))))
(*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 y y)) #s(literal 1/6 binary64)) (pow.f64 y #s(literal 4 binary64)))
(* (pow y 4) (+ 1/6 (+ (* 1/2 (/ 1 (pow y 2))) (/ 1 (pow y 4)))))
(fma.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 y y)) #s(literal 1/6 binary64)) (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64))
(* 1/6 (* x (pow y 5)))
(*.f64 (*.f64 (pow.f64 y #s(literal 5 binary64)) #s(literal 1/6 binary64)) x)
(* (pow y 5) (+ (* 1/6 x) (* 1/2 (/ x (pow y 2)))))
(*.f64 (pow.f64 y #s(literal 5 binary64)) (*.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 y y)) #s(literal 1/6 binary64))))
(* (pow y 5) (+ (* 1/6 x) (+ (* 1/2 (/ x (pow y 2))) (/ x (pow y 4)))))
(*.f64 (pow.f64 y #s(literal 5 binary64)) (fma.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 y y)) #s(literal 1/6 binary64)) (/.f64 x (pow.f64 y #s(literal 4 binary64)))))
(* 1/6 (* x (pow y 4)))
(*.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) x) #s(literal 1/6 binary64))
(* (pow y 4) (+ (* 1/6 x) (* 1/2 (/ x (pow y 2)))))
(*.f64 (*.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 y y)) #s(literal 1/6 binary64))) (pow.f64 y #s(literal 4 binary64)))
(* (pow y 4) (+ (* 1/6 x) (+ (* 1/2 (/ x (pow y 2))) (/ x (pow y 4)))))
(*.f64 (fma.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 y y)) #s(literal 1/6 binary64)) (/.f64 x (pow.f64 y #s(literal 4 binary64)))) (pow.f64 y #s(literal 4 binary64)))
(* 1/6 (pow y 5))
(*.f64 (pow.f64 y #s(literal 5 binary64)) #s(literal 1/6 binary64))
(* (pow y 5) (+ 1/6 (* 1/2 (/ 1 (pow y 2)))))
(*.f64 (pow.f64 y #s(literal 5 binary64)) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 y y)) #s(literal 1/6 binary64)))
(* (pow y 5) (+ 1/6 (+ (* 1/2 (/ 1 (pow y 2))) (/ 1 (pow y 4)))))
(*.f64 (pow.f64 y #s(literal 5 binary64)) (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))) #s(literal 1/6 binary64)) (/.f64 #s(literal -1/2 binary64) (*.f64 y y))))
(* (pow y 4) (+ 1/6 (/ 1 (pow y 4))))
(fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/6 binary64) #s(literal 1 binary64))
(* (pow y 2) (+ 1/6 (* 1/2 (/ 1 (pow y 2)))))
(fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64))
(* 1/6 (pow y 3))
(*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1/6 binary64))
(* (pow y 3) (+ 1/6 (* 1/2 (/ 1 (pow y 2)))))
(*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) y)
(* -1 (* (pow y 5) (+ (* -1/2 (/ x (pow y 2))) (* -1/6 x))))
(*.f64 (pow.f64 y #s(literal 5 binary64)) (*.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 y y)) #s(literal 1/6 binary64))))
(* -1 (* (pow y 5) (+ (* -1 (/ x (pow y 4))) (+ (* -1/2 (/ x (pow y 2))) (* -1/6 x)))))
(*.f64 (pow.f64 y #s(literal 5 binary64)) (fma.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 y y)) #s(literal 1/6 binary64)) (/.f64 x (pow.f64 y #s(literal 4 binary64)))))
(* -1 (* (pow y 5) (- (* -1 (/ (+ 1/2 (/ 1 (pow y 2))) (pow y 2))) 1/6)))
(*.f64 (neg.f64 (pow.f64 y #s(literal 5 binary64))) (+.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 y y)) (-.f64 (/.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 4 binary64))) #s(literal 1/6 binary64))))

rewrite354.0ms (4.8%)

Memory
7.1MiB live, 388.2MiB allocated; 54ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
036355
067347
1284335
22491333
08925321
Stop Event
iter limit
node limit
iter limit
Counts
24 → 891
Calls
Call 1
Inputs
(*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)) (*.f64 y y))
#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)) (*.f64 y y)) x x))
(fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)) (*.f64 y y)) x x)
(fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))
(fma.f64 (*.f64 (*.f64 y y) x) (fma.f64 #s(approx (+ (* 1/6 (* y y)) 1/2) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)) x)
#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 (*.f64 y y) x) (fma.f64 #s(approx (+ (* 1/6 (* y y)) 1/2) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)) x))
(*.f64 (*.f64 y y) x)
(*.f64 y y)
(*.f64 y (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)) x))
#s(approx (* x (exp (* y y))) (fma.f64 y (*.f64 y (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)) x)) x))
(fma.f64 y (*.f64 y (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)) x)) x)
(*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)) x)
(fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1/2 binary64)) y) y) y y)
#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 x y) (fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1/2 binary64)) y) y) y y) x))
(fma.f64 (*.f64 x y) (fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1/2 binary64)) y) y) y y) x)
(*.f64 x y)
(fma.f64 (*.f64 y y) (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) #s(literal 1 binary64))
(fma.f64 (*.f64 (*.f64 y y) x) (fma.f64 (*.f64 y y) #s(literal 1/2 binary64) (fma.f64 (*.f64 y y) (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) #s(literal 1 binary64))) x)
#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 (*.f64 y y) x) (fma.f64 (*.f64 y y) #s(literal 1/2 binary64) (fma.f64 (*.f64 y y) (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) #s(literal 1 binary64))) x))
(fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1/2 binary64))
#s(approx (+ (* 1/6 (* y y)) 1/2) #s(literal 1/2 binary64))
(fma.f64 #s(approx (+ (* 1/6 (* y y)) 1/2) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))
(*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1/2 binary64)) y)
(*.f64 #s(literal 1/6 binary64) (*.f64 y y))
Outputs
(*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)) (neg.f64 y)) (neg.f64 y))
(*.f64 (neg.f64 y) (*.f64 (neg.f64 y) (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) y) y)
(*.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)) (*.f64 y y))
(*.f64 (*.f64 y y) (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)))
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(+.f64 (pow.f64 (-.f64 (fma.f64 (pow.f64 #s(approx (+ (* 1/6 (* y y)) 1/2) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 #s(approx (+ (* 1/6 (* y y)) 1/2) #s(literal 1/2 binary64)) y) y)) #s(literal -1 binary64)) (/.f64 (*.f64 (pow.f64 #s(approx (+ (* 1/6 (* y y)) 1/2) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64))) (-.f64 (fma.f64 (pow.f64 #s(approx (+ (* 1/6 (* y y)) 1/2) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 #s(approx (+ (* 1/6 (* y y)) 1/2) #s(literal 1/2 binary64)) y) y))))
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(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(approx (+ (* 1/6 (* y y)) 1/2) #s(literal 1/2 binary64)) y) y))
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(*.f64 (fabs.f64 (*.f64 y #s(literal 1/6 binary64))) y)
(*.f64 (*.f64 #s(literal 1/6 binary64) (neg.f64 y)) (neg.f64 y))
(*.f64 (*.f64 y #s(literal 1/6 binary64)) y)
(*.f64 (neg.f64 y) (*.f64 (neg.f64 y) #s(literal 1/6 binary64)))
(*.f64 (*.f64 y y) #s(literal 1/6 binary64))
(*.f64 y (fabs.f64 (*.f64 (neg.f64 y) #s(literal 1/6 binary64))))
(*.f64 y (fabs.f64 (*.f64 y #s(literal 1/6 binary64))))
(*.f64 y (*.f64 y #s(literal 1/6 binary64)))
(*.f64 #s(literal 1/6 binary64) (*.f64 y y))
(sqrt.f64 (*.f64 #s(literal 1/36 binary64) (pow.f64 y #s(literal 4 binary64))))
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eval240.0ms (3.3%)

Memory
16.7MiB live, 250.2MiB allocated; 59ms collecting garbage
Compiler

Compiled 48 115 to 4 888 computations (89.8% saved)

prune77.0ms (1.1%)

Memory
-10.4MiB live, 79.3MiB allocated; 10ms collecting garbage
Pruning

18 alts after pruning (13 fresh and 5 done)

PrunedKeptTotal
New1 091121 103
Fresh213
Picked325
Done033
Total1 096181 114
Accuracy
100.0%
Counts
1 114 → 18
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(*.f64 x (exp.f64 (*.f64 y y)))
79.3%
(*.f64 x #s(approx (exp (* y y)) (fma.f64 y y #s(literal 1 binary64))))
53.9%
(*.f64 x #s(approx (exp (* y y)) #s(literal 1 binary64)))
91.4%
#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)) (*.f64 y y)) x x))
87.3%
#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 (fma.f64 #s(approx (+ (* 1/6 (* y y)) 1/2) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)) (*.f64 y y)) x x))
86.2%
#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 (fma.f64 #s(approx (+ (* 1/6 (* y y)) 1/2) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)) y) (*.f64 x y) x))
85.1%
#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 (fma.f64 #s(approx (+ (* 1/6 (* y y)) 1/2) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)) x) (*.f64 y y) x))
85.1%
#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/2 binary64) #s(literal 1 binary64)) x) y) y x))
90.0%
#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 (*.f64 y y) x) (fma.f64 (*.f64 y y) #s(literal 1/2 binary64) (fma.f64 (*.f64 (*.f64 y y) (*.f64 y #s(literal 1/6 binary64))) y #s(literal 1 binary64))) x))
89.8%
#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 (*.f64 y y) x) (fma.f64 #s(approx (+ (* 1/6 (* y y)) 1/2) (*.f64 #s(literal 1/6 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1 binary64)) x))
85.1%
#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 (*.f64 x y) y) (fma.f64 #s(approx (+ (* 1/6 (* y y)) 1/2) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)) x))
90.3%
#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 x y) (fma.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) y) (*.f64 y y) y) x))
90.3%
#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 x y) (fma.f64 (*.f64 (fma.f64 (*.f64 y #s(literal 1/6 binary64)) (*.f64 y y) (*.f64 #s(literal 1/2 binary64) y)) y) y y) x))
90.3%
#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 x y) (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 y #s(literal 1/6 binary64)) y #s(literal 1/2 binary64)) y) y) y y) x))
74.3%
#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 x y) y x))
90.0%
#s(approx (* x (exp (* y y))) (fma.f64 y (*.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)) (*.f64 x y)) x))
90.0%
#s(approx (* x (exp (* y y))) (fma.f64 y (*.f64 y (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)) x)) x))
90.0%
#s(approx (* x (exp (* y y))) (fma.f64 y (*.f64 y (*.f64 (fma.f64 (*.f64 (*.f64 y y) (*.f64 y #s(literal 1/6 binary64))) y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 y y)))) x)) x))
Compiler

Compiled 751 to 455 computations (39.4% saved)

simplify209.0ms (2.9%)

Memory
12.0MiB live, 151.7MiB allocated; 33ms collecting garbage
Algorithm
egg-herbie
Localize:

Found 19 expressions of interest:

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

Useful iterations: 0 (0.0ms)

IterNodesCost
038414
071395
1168395
2594389
32830389
47119389
08440379
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 x y) (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 y #s(literal 1/6 binary64)) y #s(literal 1/2 binary64)) y) y) y y) x))
(fma.f64 (*.f64 x y) (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 y #s(literal 1/6 binary64)) y #s(literal 1/2 binary64)) y) y) y y) x)
(*.f64 x y)
x
y
(fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 y #s(literal 1/6 binary64)) y #s(literal 1/2 binary64)) y) y) y y)
(*.f64 (*.f64 (fma.f64 (*.f64 y #s(literal 1/6 binary64)) y #s(literal 1/2 binary64)) y) y)
(*.f64 (fma.f64 (*.f64 y #s(literal 1/6 binary64)) y #s(literal 1/2 binary64)) y)
(fma.f64 (*.f64 y #s(literal 1/6 binary64)) y #s(literal 1/2 binary64))
(*.f64 y #s(literal 1/6 binary64))
#s(literal 1/6 binary64)
#s(literal 1/2 binary64)
#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 x y) y x))
(fma.f64 (*.f64 x y) y x)
(*.f64 x y)
x
y
#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 (fma.f64 #s(approx (+ (* 1/6 (* y y)) 1/2) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)) x) (*.f64 y y) x))
(fma.f64 (*.f64 (fma.f64 #s(approx (+ (* 1/6 (* y y)) 1/2) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)) x) (*.f64 y y) x)
(*.f64 (fma.f64 #s(approx (+ (* 1/6 (* y y)) 1/2) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)) x)
(fma.f64 #s(approx (+ (* 1/6 (* y y)) 1/2) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))
#s(approx (+ (* 1/6 (* y y)) 1/2) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(*.f64 y y)
y
#s(literal 1 binary64)
x
#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 (*.f64 y y) x) (fma.f64 #s(approx (+ (* 1/6 (* y y)) 1/2) (*.f64 #s(literal 1/6 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1 binary64)) x))
(fma.f64 (*.f64 (*.f64 y y) x) (fma.f64 #s(approx (+ (* 1/6 (* y y)) 1/2) (*.f64 #s(literal 1/6 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1 binary64)) x)
(*.f64 (*.f64 y y) x)
(*.f64 y y)
y
x
(fma.f64 #s(approx (+ (* 1/6 (* y y)) 1/2) (*.f64 #s(literal 1/6 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1 binary64))
#s(approx (+ (* 1/6 (* y y)) 1/2) (*.f64 #s(literal 1/6 binary64) (*.f64 y y)))
(*.f64 #s(literal 1/6 binary64) (*.f64 y y))
#s(literal 1/6 binary64)
#s(literal 1 binary64)
#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 x y) (fma.f64 (*.f64 (fma.f64 (*.f64 y #s(literal 1/6 binary64)) (*.f64 y y) (*.f64 #s(literal 1/2 binary64) y)) y) y y) x))
(fma.f64 (*.f64 x y) (fma.f64 (*.f64 (fma.f64 (*.f64 y #s(literal 1/6 binary64)) (*.f64 y y) (*.f64 #s(literal 1/2 binary64) y)) y) y y) x)
(*.f64 x y)
x
y
(fma.f64 (*.f64 (fma.f64 (*.f64 y #s(literal 1/6 binary64)) (*.f64 y y) (*.f64 #s(literal 1/2 binary64) y)) y) y y)
(*.f64 (fma.f64 (*.f64 y #s(literal 1/6 binary64)) (*.f64 y y) (*.f64 #s(literal 1/2 binary64) y)) y)
(fma.f64 (*.f64 y #s(literal 1/6 binary64)) (*.f64 y y) (*.f64 #s(literal 1/2 binary64) y))
(*.f64 y #s(literal 1/6 binary64))
#s(literal 1/6 binary64)
(*.f64 y y)
(*.f64 #s(literal 1/2 binary64) y)
#s(literal 1/2 binary64)
Outputs
#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 x y) (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 y #s(literal 1/6 binary64)) y #s(literal 1/2 binary64)) y) y) y y) x))
#s(approx (* x (exp (* y y))) (fma.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1/2 binary64)) y) (*.f64 y x) x))
(fma.f64 (*.f64 x y) (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 y #s(literal 1/6 binary64)) y #s(literal 1/2 binary64)) y) y) y y) x)
(fma.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1/2 binary64)) y) (*.f64 y x) x)
(*.f64 x y)
(*.f64 y x)
x
y
(fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 y #s(literal 1/6 binary64)) y #s(literal 1/2 binary64)) y) y) y y)
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1/2 binary64)) y)
(*.f64 (*.f64 (fma.f64 (*.f64 y #s(literal 1/6 binary64)) y #s(literal 1/2 binary64)) y) y)
(*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1/2 binary64)) y) y)
(*.f64 (fma.f64 (*.f64 y #s(literal 1/6 binary64)) y #s(literal 1/2 binary64)) y)
(*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1/2 binary64)) y)
(fma.f64 (*.f64 y #s(literal 1/6 binary64)) y #s(literal 1/2 binary64))
(fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1/2 binary64))
(*.f64 y #s(literal 1/6 binary64))
(*.f64 #s(literal 1/6 binary64) y)
#s(literal 1/6 binary64)
#s(literal 1/2 binary64)
#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 x y) y x))
#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 y x) y x))
(fma.f64 (*.f64 x y) y x)
(fma.f64 (*.f64 y x) y x)
(*.f64 x y)
(*.f64 y x)
x
y
#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 (fma.f64 #s(approx (+ (* 1/6 (* y y)) 1/2) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)) x) (*.f64 y y) x))
#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 (fma.f64 (*.f64 y y) #s(approx (+ (* 1/6 (* y y)) 1/2) #s(literal 1/2 binary64)) #s(literal 1 binary64)) x) (*.f64 y y) x))
(fma.f64 (*.f64 (fma.f64 #s(approx (+ (* 1/6 (* y y)) 1/2) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)) x) (*.f64 y y) x)
(fma.f64 (*.f64 (fma.f64 (*.f64 y y) #s(approx (+ (* 1/6 (* y y)) 1/2) #s(literal 1/2 binary64)) #s(literal 1 binary64)) x) (*.f64 y y) x)
(*.f64 (fma.f64 #s(approx (+ (* 1/6 (* y y)) 1/2) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)) x)
(*.f64 (fma.f64 (*.f64 y y) #s(approx (+ (* 1/6 (* y y)) 1/2) #s(literal 1/2 binary64)) #s(literal 1 binary64)) x)
(fma.f64 #s(approx (+ (* 1/6 (* y y)) 1/2) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))
(fma.f64 (*.f64 y y) #s(approx (+ (* 1/6 (* y y)) 1/2) #s(literal 1/2 binary64)) #s(literal 1 binary64))
#s(approx (+ (* 1/6 (* y y)) 1/2) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(*.f64 y y)
y
#s(literal 1 binary64)
x
#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 (*.f64 y y) x) (fma.f64 #s(approx (+ (* 1/6 (* y y)) 1/2) (*.f64 #s(literal 1/6 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1 binary64)) x))
#s(approx (* x (exp (* y y))) (fma.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(approx (+ (* 1/6 (* y y)) 1/2) (*.f64 (*.f64 y y) #s(literal 1/6 binary64))) y) (*.f64 y x) x))
(fma.f64 (*.f64 (*.f64 y y) x) (fma.f64 #s(approx (+ (* 1/6 (* y y)) 1/2) (*.f64 #s(literal 1/6 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1 binary64)) x)
(fma.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(approx (+ (* 1/6 (* y y)) 1/2) (*.f64 (*.f64 y y) #s(literal 1/6 binary64))) y) (*.f64 y x) x)
(*.f64 (*.f64 y y) x)
(*.f64 y y)
y
x
(fma.f64 #s(approx (+ (* 1/6 (* y y)) 1/2) (*.f64 #s(literal 1/6 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1 binary64))
(fma.f64 #s(approx (+ (* 1/6 (* y y)) 1/2) (*.f64 (*.f64 y y) #s(literal 1/6 binary64))) (*.f64 y y) #s(literal 1 binary64))
#s(approx (+ (* 1/6 (* y y)) 1/2) (*.f64 #s(literal 1/6 binary64) (*.f64 y y)))
#s(approx (+ (* 1/6 (* y y)) 1/2) (*.f64 (*.f64 y y) #s(literal 1/6 binary64)))
(*.f64 #s(literal 1/6 binary64) (*.f64 y y))
(*.f64 (*.f64 y y) #s(literal 1/6 binary64))
#s(literal 1/6 binary64)
#s(literal 1 binary64)
#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 x y) (fma.f64 (*.f64 (fma.f64 (*.f64 y #s(literal 1/6 binary64)) (*.f64 y y) (*.f64 #s(literal 1/2 binary64) y)) y) y y) x))
#s(approx (* x (exp (* y y))) (fma.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1/2 binary64)) y) (*.f64 y x) x))
(fma.f64 (*.f64 x y) (fma.f64 (*.f64 (fma.f64 (*.f64 y #s(literal 1/6 binary64)) (*.f64 y y) (*.f64 #s(literal 1/2 binary64) y)) y) y y) x)
(fma.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1/2 binary64)) y) (*.f64 y x) x)
(*.f64 x y)
(*.f64 y x)
x
y
(fma.f64 (*.f64 (fma.f64 (*.f64 y #s(literal 1/6 binary64)) (*.f64 y y) (*.f64 #s(literal 1/2 binary64) y)) y) y y)
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1/2 binary64)) y)
(*.f64 (fma.f64 (*.f64 y #s(literal 1/6 binary64)) (*.f64 y y) (*.f64 #s(literal 1/2 binary64) y)) y)
(*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1/2 binary64)) y) y)
(fma.f64 (*.f64 y #s(literal 1/6 binary64)) (*.f64 y y) (*.f64 #s(literal 1/2 binary64) y))
(*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1/2 binary64)) y)
(*.f64 y #s(literal 1/6 binary64))
(*.f64 #s(literal 1/6 binary64) y)
#s(literal 1/6 binary64)
(*.f64 y y)
(*.f64 #s(literal 1/2 binary64) y)
#s(literal 1/2 binary64)

localize208.0ms (2.8%)

Memory
-7.3MiB live, 376.8MiB allocated; 77ms collecting garbage
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
accuracy0.0625
(*.f64 (fma.f64 (*.f64 y #s(literal 1/6 binary64)) (*.f64 y y) (*.f64 #s(literal 1/2 binary64) y)) y)
accuracy0.2608845237076245
(fma.f64 (*.f64 x y) (fma.f64 (*.f64 (fma.f64 (*.f64 y #s(literal 1/6 binary64)) (*.f64 y y) (*.f64 #s(literal 1/2 binary64) y)) y) y y) x)
accuracy0.31640625
(*.f64 y #s(literal 1/6 binary64))
accuracy6.427027353889967
#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 x y) (fma.f64 (*.f64 (fma.f64 (*.f64 y #s(literal 1/6 binary64)) (*.f64 y y) (*.f64 #s(literal 1/2 binary64) y)) y) y y) x))
accuracy0.203125
(*.f64 #s(literal 1/6 binary64) (*.f64 y y))
accuracy6.427027353889967
#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 (*.f64 y y) x) (fma.f64 #s(approx (+ (* 1/6 (* y y)) 1/2) (*.f64 #s(literal 1/6 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1 binary64)) x))
accuracy7.296388764633391
(*.f64 (*.f64 y y) x)
accuracy32.383542365155826
#s(approx (+ (* 1/6 (* y y)) 1/2) (*.f64 #s(literal 1/6 binary64) (*.f64 y y)))
accuracy0.06640625
(fma.f64 #s(approx (+ (* 1/6 (* y y)) 1/2) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))
accuracy1.4432677828520868
(*.f64 (fma.f64 #s(approx (+ (* 1/6 (* y y)) 1/2) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)) x)
accuracy6.427027353889967
#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 (fma.f64 #s(approx (+ (* 1/6 (* y y)) 1/2) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)) x) (*.f64 y y) x))
accuracy29.24469118636562
#s(approx (+ (* 1/6 (* y y)) 1/2) #s(literal 1/2 binary64))
accuracy0.0
(*.f64 x y)
accuracy0.06640625
(fma.f64 (*.f64 x y) y x)
accuracy16.479691645092508
#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 x y) y x))
accuracy0.07421875
(*.f64 (fma.f64 (*.f64 y #s(literal 1/6 binary64)) y #s(literal 1/2 binary64)) y)
accuracy0.2608845237076245
(fma.f64 (*.f64 x y) (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 y #s(literal 1/6 binary64)) y #s(literal 1/2 binary64)) y) y) y y) x)
accuracy0.31640625
(*.f64 y #s(literal 1/6 binary64))
accuracy6.427027353889967
#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 x y) (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 y #s(literal 1/6 binary64)) y #s(literal 1/2 binary64)) y) y) y y) x))
Samples
176.0ms256×0valid
Compiler

Compiled 318 to 40 computations (87.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 85.0ms
ival-mult: 60.0ms (70.7% of total)
ival-add: 17.0ms (20% of total)
const: 5.0ms (5.9% of total)
ival-exp: 2.0ms (2.4% of total)
ival-true: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series23.0ms (0.3%)

Memory
15.0MiB live, 61.4MiB allocated; 3ms collecting garbage
Counts
24 → 51
Calls
Call 1
Inputs
(fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 y #s(literal 1/6 binary64)) y #s(literal 1/2 binary64)) y) y) y y)
#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 x y) (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 y #s(literal 1/6 binary64)) y #s(literal 1/2 binary64)) y) y) y y) x))
(fma.f64 (*.f64 x y) (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 y #s(literal 1/6 binary64)) y #s(literal 1/2 binary64)) y) y) y y) x)
(*.f64 x y)
#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 x y) y x))
(fma.f64 (*.f64 x y) y x)
#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 (fma.f64 #s(approx (+ (* 1/6 (* y y)) 1/2) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)) x) (*.f64 y y) x))
(fma.f64 (*.f64 (fma.f64 #s(approx (+ (* 1/6 (* y y)) 1/2) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)) x) (*.f64 y y) x)
(*.f64 (fma.f64 #s(approx (+ (* 1/6 (* y y)) 1/2) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)) x)
(fma.f64 #s(approx (+ (* 1/6 (* y y)) 1/2) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))
(fma.f64 (*.f64 (*.f64 y y) x) (fma.f64 #s(approx (+ (* 1/6 (* y y)) 1/2) (*.f64 #s(literal 1/6 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1 binary64)) x)
#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 (*.f64 y y) x) (fma.f64 #s(approx (+ (* 1/6 (* y y)) 1/2) (*.f64 #s(literal 1/6 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1 binary64)) x))
(*.f64 (*.f64 y y) x)
(*.f64 y y)
(fma.f64 (*.f64 (fma.f64 (*.f64 y #s(literal 1/6 binary64)) (*.f64 y y) (*.f64 #s(literal 1/2 binary64) y)) y) y y)
(fma.f64 (*.f64 y #s(literal 1/6 binary64)) (*.f64 y y) (*.f64 #s(literal 1/2 binary64) y))
#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 x y) (fma.f64 (*.f64 (fma.f64 (*.f64 y #s(literal 1/6 binary64)) (*.f64 y y) (*.f64 #s(literal 1/2 binary64) y)) y) y y) x))
(fma.f64 (*.f64 x y) (fma.f64 (*.f64 (fma.f64 (*.f64 y #s(literal 1/6 binary64)) (*.f64 y y) (*.f64 #s(literal 1/2 binary64) y)) y) y y) x)
(*.f64 y #s(literal 1/6 binary64))
(*.f64 (fma.f64 (*.f64 y #s(literal 1/6 binary64)) y #s(literal 1/2 binary64)) y)
#s(approx (+ (* 1/6 (* y y)) 1/2) #s(literal 1/2 binary64))
#s(approx (+ (* 1/6 (* y y)) 1/2) (*.f64 #s(literal 1/6 binary64) (*.f64 y y)))
(*.f64 #s(literal 1/6 binary64) (*.f64 y y))
(*.f64 (fma.f64 (*.f64 y #s(literal 1/6 binary64)) (*.f64 y y) (*.f64 #s(literal 1/2 binary64) y)) y)
Outputs
(* x (exp (pow y 2)))
(* x (+ 1 (* y (+ y (* (pow y 3) (+ 1/2 (* 1/6 (pow y 2))))))))
(* x y)
(* x (+ 1 (pow y 2)))
(* x (+ 1 (* (pow y 2) (+ 1 (* (pow y 2) (+ 1/2 (* 1/6 (pow y 2))))))))
(* x (+ 1 (* (pow y 2) (+ 1/2 (* 1/6 (pow y 2))))))
(* x (pow y 2))
(* x (+ 1 (* y (+ y (* (pow y 2) (+ (* 1/6 (pow y 3)) (* 1/2 y)))))))
(* -1 (* x (- (* -1 (* y (+ y (* (pow y 3) (+ 1/2 (* 1/6 (pow y 2))))))) 1)))
(* -1 (* x (- (* -1 (pow y 2)) 1)))
(* -1 (* x (- (* -1 (* (pow y 2) (+ 1 (* (pow y 2) (+ 1/2 (* 1/6 (pow y 2))))))) 1)))
(* -1 (* x (- (* -1 (* y (+ y (* (pow y 2) (+ (* 1/6 (pow y 3)) (* 1/2 y)))))) 1)))
y
(* y (+ 1 (* 1/2 (pow y 2))))
(* y (+ 1 (* (pow y 2) (+ 1/2 (* 1/6 (pow y 2))))))
x
(+ x (* x (pow y 2)))
(+ x (* (pow y 2) (+ x (* 1/2 (* x (pow y 2))))))
(+ x (* (pow y 2) (+ x (* (pow y 2) (+ (* 1/6 (* x (pow y 2))) (* 1/2 x))))))
(+ x (* 1/2 (* x (pow y 2))))
(+ x (* (pow y 2) (+ (* 1/6 (* x (pow y 2))) (* 1/2 x))))
1
(+ 1 (* 1/2 (pow y 2)))
(+ 1 (* (pow y 2) (+ 1/2 (* 1/6 (pow y 2)))))
(pow y 2)
(* 1/2 y)
(* y (+ 1/2 (* 1/6 (pow y 2))))
(* 1/6 y)
1/2
(+ 1/2 (* 1/6 (pow y 2)))
(* 1/6 (pow y 2))
(* 1/2 (pow y 2))
(* (pow y 2) (+ 1/2 (* 1/6 (pow y 2))))
(* 1/6 (pow y 5))
(* (pow y 5) (+ 1/6 (* 1/2 (/ 1 (pow y 2)))))
(* (pow y 5) (+ 1/6 (+ (* 1/2 (/ 1 (pow y 2))) (/ 1 (pow y 4)))))
(* 1/6 (* x (pow y 6)))
(* (pow y 6) (+ (* 1/6 x) (* 1/2 (/ x (pow y 2)))))
(* (pow y 6) (+ (* 1/6 x) (+ (* 1/2 (/ x (pow y 2))) (/ x (pow y 4)))))
(* (pow y 6) (+ (* 1/6 x) (+ (* 1/2 (/ x (pow y 2))) (+ (/ x (pow y 4)) (/ x (pow y 6))))))
(* (pow y 2) (+ x (/ x (pow y 2))))
(* 1/6 (* x (pow y 4)))
(* (pow y 4) (+ (* 1/6 x) (* 1/2 (/ x (pow y 2)))))
(* (pow y 4) (+ (* 1/6 x) (+ (* 1/2 (/ x (pow y 2))) (/ x (pow y 4)))))
(* 1/6 (pow y 4))
(* (pow y 4) (+ 1/6 (* 1/2 (/ 1 (pow y 2)))))
(* (pow y 4) (+ 1/6 (+ (* 1/2 (/ 1 (pow y 2))) (/ 1 (pow y 4)))))
(* 1/6 (pow y 3))
(* (pow y 3) (+ 1/6 (* 1/2 (/ 1 (pow y 2)))))
(* (pow y 2) (+ 1/6 (* 1/2 (/ 1 (pow y 2)))))
(* -1 (* (pow y 5) (- (* -1 (/ (+ 1/2 (/ 1 (pow y 2))) (pow y 2))) 1/6)))
Calls

6 calls:

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

simplify129.0ms (1.8%)

Memory
-12.2MiB live, 173.6MiB allocated; 26ms collecting garbage
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0119550
1438546
21579528
34796528
08205485
Stop Event
iter limit
node limit
Counts
51 → 49
Calls
Call 1
Inputs
(* x (exp (pow y 2)))
(* x (+ 1 (* y (+ y (* (pow y 3) (+ 1/2 (* 1/6 (pow y 2))))))))
(* x y)
(* x (+ 1 (pow y 2)))
(* x (+ 1 (* (pow y 2) (+ 1 (* (pow y 2) (+ 1/2 (* 1/6 (pow y 2))))))))
(* x (+ 1 (* (pow y 2) (+ 1/2 (* 1/6 (pow y 2))))))
(* x (pow y 2))
(* x (+ 1 (* y (+ y (* (pow y 2) (+ (* 1/6 (pow y 3)) (* 1/2 y)))))))
(* -1 (* x (- (* -1 (* y (+ y (* (pow y 3) (+ 1/2 (* 1/6 (pow y 2))))))) 1)))
(* -1 (* x (- (* -1 (pow y 2)) 1)))
(* -1 (* x (- (* -1 (* (pow y 2) (+ 1 (* (pow y 2) (+ 1/2 (* 1/6 (pow y 2))))))) 1)))
(* -1 (* x (- (* -1 (* y (+ y (* (pow y 2) (+ (* 1/6 (pow y 3)) (* 1/2 y)))))) 1)))
y
(* y (+ 1 (* 1/2 (pow y 2))))
(* y (+ 1 (* (pow y 2) (+ 1/2 (* 1/6 (pow y 2))))))
x
(+ x (* x (pow y 2)))
(+ x (* (pow y 2) (+ x (* 1/2 (* x (pow y 2))))))
(+ x (* (pow y 2) (+ x (* (pow y 2) (+ (* 1/6 (* x (pow y 2))) (* 1/2 x))))))
(+ x (* 1/2 (* x (pow y 2))))
(+ x (* (pow y 2) (+ (* 1/6 (* x (pow y 2))) (* 1/2 x))))
1
(+ 1 (* 1/2 (pow y 2)))
(+ 1 (* (pow y 2) (+ 1/2 (* 1/6 (pow y 2)))))
(pow y 2)
(* 1/2 y)
(* y (+ 1/2 (* 1/6 (pow y 2))))
(* 1/6 y)
1/2
(+ 1/2 (* 1/6 (pow y 2)))
(* 1/6 (pow y 2))
(* 1/2 (pow y 2))
(* (pow y 2) (+ 1/2 (* 1/6 (pow y 2))))
(* 1/6 (pow y 5))
(* (pow y 5) (+ 1/6 (* 1/2 (/ 1 (pow y 2)))))
(* (pow y 5) (+ 1/6 (+ (* 1/2 (/ 1 (pow y 2))) (/ 1 (pow y 4)))))
(* 1/6 (* x (pow y 6)))
(* (pow y 6) (+ (* 1/6 x) (* 1/2 (/ x (pow y 2)))))
(* (pow y 6) (+ (* 1/6 x) (+ (* 1/2 (/ x (pow y 2))) (/ x (pow y 4)))))
(* (pow y 6) (+ (* 1/6 x) (+ (* 1/2 (/ x (pow y 2))) (+ (/ x (pow y 4)) (/ x (pow y 6))))))
(* (pow y 2) (+ x (/ x (pow y 2))))
(* 1/6 (* x (pow y 4)))
(* (pow y 4) (+ (* 1/6 x) (* 1/2 (/ x (pow y 2)))))
(* (pow y 4) (+ (* 1/6 x) (+ (* 1/2 (/ x (pow y 2))) (/ x (pow y 4)))))
(* 1/6 (pow y 4))
(* (pow y 4) (+ 1/6 (* 1/2 (/ 1 (pow y 2)))))
(* (pow y 4) (+ 1/6 (+ (* 1/2 (/ 1 (pow y 2))) (/ 1 (pow y 4)))))
(* 1/6 (pow y 3))
(* (pow y 3) (+ 1/6 (* 1/2 (/ 1 (pow y 2)))))
(* (pow y 2) (+ 1/6 (* 1/2 (/ 1 (pow y 2)))))
(* -1 (* (pow y 5) (- (* -1 (/ (+ 1/2 (/ 1 (pow y 2))) (pow y 2))) 1/6)))
Outputs
(* x (exp (pow y 2)))
(*.f64 (pow.f64 (exp.f64 y) y) x)
(* x (+ 1 (* y (+ y (* (pow y 3) (+ 1/2 (* 1/6 (pow y 2))))))))
(*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (pow.f64 y #s(literal 3 binary64)) y) y #s(literal 1 binary64)) x)
(* x y)
(*.f64 x y)
(* x (+ 1 (pow y 2)))
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(* x (+ 1 (* (pow y 2) (+ 1 (* (pow y 2) (+ 1/2 (* 1/6 (pow y 2))))))))
(*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (pow.f64 y #s(literal 3 binary64)) y) y #s(literal 1 binary64)) x)
(* x (+ 1 (* (pow y 2) (+ 1/2 (* 1/6 (pow y 2))))))
(*.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)) x)
(* x (pow y 2))
(*.f64 (*.f64 x y) y)
(* x (+ 1 (* y (+ y (* (pow y 2) (+ (* 1/6 (pow y 3)) (* 1/2 y)))))))
(*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (pow.f64 y #s(literal 3 binary64)) y) y #s(literal 1 binary64)) x)
(* -1 (* x (- (* -1 (* y (+ y (* (pow y 3) (+ 1/2 (* 1/6 (pow y 2))))))) 1)))
(*.f64 (fma.f64 y y (neg.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal -1/2 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal 1 binary64)))) x)
(* -1 (* x (- (* -1 (pow y 2)) 1)))
(*.f64 (neg.f64 x) (-.f64 (*.f64 (neg.f64 y) y) #s(literal 1 binary64)))
(* -1 (* x (- (* -1 (* (pow y 2) (+ 1 (* (pow y 2) (+ 1/2 (* 1/6 (pow y 2))))))) 1)))
(*.f64 (fma.f64 y y (neg.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal -1/2 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal 1 binary64)))) x)
(* -1 (* x (- (* -1 (* y (+ y (* (pow y 2) (+ (* 1/6 (pow y 3)) (* 1/2 y)))))) 1)))
(*.f64 (fma.f64 y y (neg.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal -1/2 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal 1 binary64)))) x)
y
(* y (+ 1 (* 1/2 (pow y 2))))
(fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1/2 binary64) y)
(* y (+ 1 (* (pow y 2) (+ 1/2 (* 1/6 (pow y 2))))))
(fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (pow.f64 y #s(literal 3 binary64)) y)
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))))))
(fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) y) y #s(literal 1 binary64)) x) (*.f64 y y) x)
(+ x (* (pow y 2) (+ x (* (pow y 2) (+ (* 1/6 (* x (pow y 2))) (* 1/2 x))))))
(*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (pow.f64 y #s(literal 3 binary64)) y) y #s(literal 1 binary64)) x)
(+ x (* 1/2 (* x (pow y 2))))
(*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) y) y #s(literal 1 binary64)) x)
(+ x (* (pow y 2) (+ (* 1/6 (* x (pow y 2))) (* 1/2 x))))
(*.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)) x)
1
#s(literal 1 binary64)
(+ 1 (* 1/2 (pow y 2)))
(fma.f64 (*.f64 #s(literal 1/2 binary64) y) y #s(literal 1 binary64))
(+ 1 (* (pow y 2) (+ 1/2 (* 1/6 (pow y 2)))))
(fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))
(pow y 2)
(*.f64 y y)
(* 1/2 y)
(*.f64 #s(literal 1/2 binary64) y)
(* y (+ 1/2 (* 1/6 (pow y 2))))
(*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) y)
(* 1/6 y)
(*.f64 #s(literal 1/6 binary64) y)
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* 1/6 (pow y 2)))
(fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64))
(* 1/6 (pow y 2))
(*.f64 (*.f64 y y) #s(literal 1/6 binary64))
(* 1/2 (pow y 2))
(*.f64 (*.f64 #s(literal 1/2 binary64) y) y)
(* (pow y 2) (+ 1/2 (* 1/6 (pow y 2))))
(*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) y) y)
(* 1/6 (pow y 5))
(*.f64 (pow.f64 y #s(literal 5 binary64)) #s(literal 1/6 binary64))
(* (pow y 5) (+ 1/6 (* 1/2 (/ 1 (pow y 2)))))
(*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 y y)) #s(literal 1/6 binary64)) (pow.f64 y #s(literal 5 binary64)))
(* (pow y 5) (+ 1/6 (+ (* 1/2 (/ 1 (pow y 2))) (/ 1 (pow y 4)))))
(*.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))) #s(literal 1/6 binary64)) (/.f64 #s(literal -1/2 binary64) (*.f64 y y))) (pow.f64 y #s(literal 5 binary64)))
(* 1/6 (* x (pow y 6)))
(*.f64 (*.f64 (pow.f64 y #s(literal 6 binary64)) x) #s(literal 1/6 binary64))
(* (pow y 6) (+ (* 1/6 x) (* 1/2 (/ x (pow y 2)))))
(*.f64 (*.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 y y)) #s(literal 1/6 binary64))) (pow.f64 y #s(literal 6 binary64)))
(* (pow y 6) (+ (* 1/6 x) (+ (* 1/2 (/ x (pow y 2))) (/ x (pow y 4)))))
(*.f64 (fma.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 y y)) #s(literal 1/6 binary64)) (/.f64 x (pow.f64 y #s(literal 4 binary64)))) (pow.f64 y #s(literal 6 binary64)))
(* (pow y 6) (+ (* 1/6 x) (+ (* 1/2 (/ x (pow y 2))) (+ (/ x (pow y 4)) (/ x (pow y 6))))))
(*.f64 (fma.f64 x (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 y y)) #s(literal -1/6 binary64)) (+.f64 (/.f64 x (pow.f64 y #s(literal 6 binary64))) (/.f64 x (pow.f64 y #s(literal 4 binary64))))) (pow.f64 y #s(literal 6 binary64)))
(* (pow y 2) (+ x (/ x (pow y 2))))
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(* 1/6 (* x (pow y 4)))
(*.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) x) #s(literal 1/6 binary64))
(* (pow y 4) (+ (* 1/6 x) (* 1/2 (/ x (pow y 2)))))
(*.f64 (*.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 y y)) #s(literal 1/6 binary64))) (pow.f64 y #s(literal 4 binary64)))
(* (pow y 4) (+ (* 1/6 x) (+ (* 1/2 (/ x (pow y 2))) (/ x (pow y 4)))))
(*.f64 (fma.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 y y)) #s(literal 1/6 binary64)) (/.f64 x (pow.f64 y #s(literal 4 binary64)))) (pow.f64 y #s(literal 4 binary64)))
(* 1/6 (pow y 4))
(*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/6 binary64))
(* (pow y 4) (+ 1/6 (* 1/2 (/ 1 (pow y 2)))))
(*.f64 (pow.f64 y #s(literal 4 binary64)) (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 y y)) #s(literal -1/6 binary64)))
(* (pow y 4) (+ 1/6 (+ (* 1/2 (/ 1 (pow y 2))) (/ 1 (pow y 4)))))
(fma.f64 (pow.f64 y #s(literal 4 binary64)) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 y y)) #s(literal 1/6 binary64)) #s(literal 1 binary64))
(* 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 (pow y 2)))))
(*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) y)
(* (pow y 2) (+ 1/6 (* 1/2 (/ 1 (pow y 2)))))
(fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64))
(* -1 (* (pow y 5) (- (* -1 (/ (+ 1/2 (/ 1 (pow y 2))) (pow y 2))) 1/6)))
(*.f64 (neg.f64 (pow.f64 y #s(literal 5 binary64))) (+.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 y y)) (-.f64 (/.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 4 binary64))) #s(literal 1/6 binary64))))

rewrite269.0ms (3.7%)

Memory
3.2MiB live, 395.9MiB allocated; 125ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
038344
071328
1308320
22376320
08155314
Stop Event
iter limit
node limit
iter limit
Counts
24 → 519
Calls
Call 1
Inputs
(fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 y #s(literal 1/6 binary64)) y #s(literal 1/2 binary64)) y) y) y y)
#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 x y) (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 y #s(literal 1/6 binary64)) y #s(literal 1/2 binary64)) y) y) y y) x))
(fma.f64 (*.f64 x y) (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 y #s(literal 1/6 binary64)) y #s(literal 1/2 binary64)) y) y) y y) x)
(*.f64 x y)
#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 x y) y x))
(fma.f64 (*.f64 x y) y x)
#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 (fma.f64 #s(approx (+ (* 1/6 (* y y)) 1/2) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)) x) (*.f64 y y) x))
(fma.f64 (*.f64 (fma.f64 #s(approx (+ (* 1/6 (* y y)) 1/2) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)) x) (*.f64 y y) x)
(*.f64 (fma.f64 #s(approx (+ (* 1/6 (* y y)) 1/2) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)) x)
(fma.f64 #s(approx (+ (* 1/6 (* y y)) 1/2) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))
(fma.f64 (*.f64 (*.f64 y y) x) (fma.f64 #s(approx (+ (* 1/6 (* y y)) 1/2) (*.f64 #s(literal 1/6 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1 binary64)) x)
#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 (*.f64 y y) x) (fma.f64 #s(approx (+ (* 1/6 (* y y)) 1/2) (*.f64 #s(literal 1/6 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1 binary64)) x))
(*.f64 (*.f64 y y) x)
(*.f64 y y)
(fma.f64 (*.f64 (fma.f64 (*.f64 y #s(literal 1/6 binary64)) (*.f64 y y) (*.f64 #s(literal 1/2 binary64) y)) y) y y)
(fma.f64 (*.f64 y #s(literal 1/6 binary64)) (*.f64 y y) (*.f64 #s(literal 1/2 binary64) y))
#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 x y) (fma.f64 (*.f64 (fma.f64 (*.f64 y #s(literal 1/6 binary64)) (*.f64 y y) (*.f64 #s(literal 1/2 binary64) y)) y) y y) x))
(fma.f64 (*.f64 x y) (fma.f64 (*.f64 (fma.f64 (*.f64 y #s(literal 1/6 binary64)) (*.f64 y y) (*.f64 #s(literal 1/2 binary64) y)) y) y y) x)
(*.f64 y #s(literal 1/6 binary64))
(*.f64 (fma.f64 (*.f64 y #s(literal 1/6 binary64)) y #s(literal 1/2 binary64)) y)
#s(approx (+ (* 1/6 (* y y)) 1/2) #s(literal 1/2 binary64))
#s(approx (+ (* 1/6 (* y y)) 1/2) (*.f64 #s(literal 1/6 binary64) (*.f64 y y)))
(*.f64 #s(literal 1/6 binary64) (*.f64 y y))
(*.f64 (fma.f64 (*.f64 y #s(literal 1/6 binary64)) (*.f64 y y) (*.f64 #s(literal 1/2 binary64) y)) y)
Outputs
(*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1/2 binary64)) y) y #s(literal 1 binary64)) y)
(*.f64 y (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1/2 binary64)) y) y #s(literal 1 binary64)))
(/.f64 (neg.f64 (-.f64 (*.f64 y y) (*.f64 (pow.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1/2 binary64)) #s(literal 2 binary64)) (pow.f64 y #s(literal 6 binary64))))) (neg.f64 (-.f64 y (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1/2 binary64)) (pow.f64 y #s(literal 3 binary64))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (pow.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1/2 binary64)) #s(literal 2 binary64)) (pow.f64 y #s(literal 6 binary64)) (*.f64 y (neg.f64 y))))) (neg.f64 (neg.f64 (-.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1/2 binary64)) (pow.f64 y #s(literal 3 binary64))) y))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (pow.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 y #s(literal 9 binary64)) (pow.f64 y #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 y (-.f64 y (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1/2 binary64)) (pow.f64 y #s(literal 3 binary64)))) (*.f64 (pow.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1/2 binary64)) #s(literal 2 binary64)) (pow.f64 y #s(literal 6 binary64)))))))
(/.f64 (-.f64 (*.f64 (*.f64 (pow.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1/2 binary64)) #s(literal 2 binary64)) (pow.f64 y #s(literal 6 binary64))) (-.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1/2 binary64)) (pow.f64 y #s(literal 3 binary64))) y)) (*.f64 (-.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1/2 binary64)) (pow.f64 y #s(literal 3 binary64))) y) (*.f64 y y))) (*.f64 (-.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1/2 binary64)) (pow.f64 y #s(literal 3 binary64))) y) (-.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1/2 binary64)) (pow.f64 y #s(literal 3 binary64))) y)))
(/.f64 (fma.f64 (*.f64 (pow.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 y #s(literal 9 binary64))) (fma.f64 y (-.f64 y (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1/2 binary64)) (pow.f64 y #s(literal 3 binary64)))) (*.f64 (pow.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1/2 binary64)) #s(literal 2 binary64)) (pow.f64 y #s(literal 6 binary64)))) (*.f64 (fma.f64 y (-.f64 y (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1/2 binary64)) (pow.f64 y #s(literal 3 binary64)))) (*.f64 (pow.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1/2 binary64)) #s(literal 2 binary64)) (pow.f64 y #s(literal 6 binary64)))) (pow.f64 y #s(literal 3 binary64)))) (*.f64 (fma.f64 y (-.f64 y (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1/2 binary64)) (pow.f64 y #s(literal 3 binary64)))) (*.f64 (pow.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1/2 binary64)) #s(literal 2 binary64)) (pow.f64 y #s(literal 6 binary64)))) (fma.f64 y (-.f64 y (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1/2 binary64)) (pow.f64 y #s(literal 3 binary64)))) (*.f64 (pow.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1/2 binary64)) #s(literal 2 binary64)) (pow.f64 y #s(literal 6 binary64))))))
(/.f64 (-.f64 (*.f64 y y) (*.f64 (pow.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1/2 binary64)) #s(literal 2 binary64)) (pow.f64 y #s(literal 6 binary64)))) (-.f64 y (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1/2 binary64)) (pow.f64 y #s(literal 3 binary64)))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1/2 binary64)) #s(literal 2 binary64)) (pow.f64 y #s(literal 6 binary64)) (*.f64 y (neg.f64 y)))) (neg.f64 (-.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1/2 binary64)) (pow.f64 y #s(literal 3 binary64))) y)))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 y #s(literal 9 binary64)) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (fma.f64 y y (-.f64 (*.f64 (pow.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1/2 binary64)) #s(literal 2 binary64)) (pow.f64 y #s(literal 6 binary64))) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1/2 binary64)) y) (pow.f64 y #s(literal 3 binary64)))))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 y #s(literal 9 binary64)) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (fma.f64 y (-.f64 y (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1/2 binary64)) (pow.f64 y #s(literal 3 binary64)))) (*.f64 (pow.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1/2 binary64)) #s(literal 2 binary64)) (pow.f64 y #s(literal 6 binary64))))))
(/.f64 (fma.f64 (pow.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1/2 binary64)) #s(literal 2 binary64)) (pow.f64 y #s(literal 6 binary64)) (*.f64 y (neg.f64 y))) (-.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1/2 binary64)) (pow.f64 y #s(literal 3 binary64))) y))
(/.f64 (fma.f64 (pow.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 y #s(literal 9 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 y y (-.f64 (*.f64 (pow.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1/2 binary64)) #s(literal 2 binary64)) (pow.f64 y #s(literal 6 binary64))) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1/2 binary64)) y) (pow.f64 y #s(literal 3 binary64))))))
(/.f64 (fma.f64 (pow.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 y #s(literal 9 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 y (-.f64 y (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1/2 binary64)) (pow.f64 y #s(literal 3 binary64)))) (*.f64 (pow.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1/2 binary64)) #s(literal 2 binary64)) (pow.f64 y #s(literal 6 binary64)))))
(fma.f64 (/.f64 (-.f64 (*.f64 #s(literal 1/36 binary64) (pow.f64 y #s(literal 6 binary64))) (*.f64 #s(literal 1/4 binary64) (*.f64 y y))) y) (/.f64 (*.f64 y y) (-.f64 (*.f64 (*.f64 y y) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) y)
(fma.f64 (sqrt.f64 (neg.f64 (neg.f64 y))) (sqrt.f64 (neg.f64 (neg.f64 y))) (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1/2 binary64)) (pow.f64 y #s(literal 3 binary64))))
(fma.f64 (sqrt.f64 (neg.f64 y)) (sqrt.f64 (neg.f64 y)) (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1/2 binary64)) (pow.f64 y #s(literal 3 binary64))))
(fma.f64 (sqrt.f64 y) (sqrt.f64 y) (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1/2 binary64)) (pow.f64 y #s(literal 3 binary64))))
(fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1/2 binary64)) y) (neg.f64 y)) (neg.f64 y) y)
(fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1/2 binary64)) y) (*.f64 y y) y)
(fma.f64 (*.f64 y y) (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1/2 binary64)) y) y)
(fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1/2 binary64)) y) y) y y)
(fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1/2 binary64)) (pow.f64 y #s(literal 3 binary64)) y)
(fma.f64 y (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1/2 binary64)) y) y) y)
(-.f64 (/.f64 (*.f64 y y) (-.f64 y (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1/2 binary64)) (pow.f64 y #s(literal 3 binary64))))) (/.f64 (*.f64 (pow.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1/2 binary64)) #s(literal 2 binary64)) (pow.f64 y #s(literal 6 binary64))) (-.f64 y (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1/2 binary64)) (pow.f64 y #s(literal 3 binary64))))))
(-.f64 (/.f64 (*.f64 (pow.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1/2 binary64)) #s(literal 2 binary64)) (pow.f64 y #s(literal 6 binary64))) (-.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1/2 binary64)) (pow.f64 y #s(literal 3 binary64))) y)) (/.f64 (*.f64 y y) (-.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1/2 binary64)) (pow.f64 y #s(literal 3 binary64))) y)))
(-.f64 y (*.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1/2 binary64)) y)) (*.f64 y y)))
(-.f64 y (*.f64 (neg.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1/2 binary64)) y) y)) y))
(-.f64 y (*.f64 (neg.f64 y) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1/2 binary64)) y) y)))
(+.f64 (/.f64 (*.f64 (pow.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 y #s(literal 9 binary64))) (fma.f64 y (-.f64 y (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1/2 binary64)) (pow.f64 y #s(literal 3 binary64)))) (*.f64 (pow.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1/2 binary64)) #s(literal 2 binary64)) (pow.f64 y #s(literal 6 binary64))))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y (-.f64 y (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1/2 binary64)) (pow.f64 y #s(literal 3 binary64)))) (*.f64 (pow.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1/2 binary64)) #s(literal 2 binary64)) (pow.f64 y #s(literal 6 binary64))))))
(+.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1/2 binary64)) (pow.f64 y #s(literal 3 binary64))) y)
(+.f64 y (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1/2 binary64)) (pow.f64 y #s(literal 3 binary64))))
#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 x y) (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1/2 binary64)) (pow.f64 y #s(literal 3 binary64)) y) x))
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (*.f64 x y) (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1/2 binary64)) (pow.f64 y #s(literal 3 binary64)) y)) #s(literal 2 binary64)))) (neg.f64 (-.f64 x (*.f64 (*.f64 x y) (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1/2 binary64)) (pow.f64 y #s(literal 3 binary64)) y)))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (*.f64 x y) (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1/2 binary64)) (pow.f64 y #s(literal 3 binary64)) y)) #s(literal 2 binary64)) (*.f64 x x)))) (neg.f64 (neg.f64 (-.f64 (*.f64 (*.f64 x y) (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1/2 binary64)) (pow.f64 y #s(literal 3 binary64)) y)) x))))
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 x y) (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1/2 binary64)) (pow.f64 y #s(literal 3 binary64)) y)) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 x (-.f64 x (*.f64 (*.f64 x y) (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1/2 binary64)) (pow.f64 y #s(literal 3 binary64)) y))) (pow.f64 (*.f64 (*.f64 x y) (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1/2 binary64)) (pow.f64 y #s(literal 3 binary64)) y)) #s(literal 2 binary64))))))
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 (*.f64 x y) (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1/2 binary64)) (pow.f64 y #s(literal 3 binary64)) y)) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 x y) (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1/2 binary64)) (pow.f64 y #s(literal 3 binary64)) y)) x)) (*.f64 (-.f64 (*.f64 (*.f64 x y) (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1/2 binary64)) (pow.f64 y #s(literal 3 binary64)) y)) x) (*.f64 x x))) (*.f64 (-.f64 (*.f64 (*.f64 x y) (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1/2 binary64)) (pow.f64 y #s(literal 3 binary64)) y)) x) (-.f64 (*.f64 (*.f64 x y) (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1/2 binary64)) (pow.f64 y #s(literal 3 binary64)) y)) x)))
(/.f64 (fma.f64 (pow.f64 (*.f64 (*.f64 x y) (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1/2 binary64)) (pow.f64 y #s(literal 3 binary64)) y)) #s(literal 3 binary64)) (fma.f64 x (-.f64 x (*.f64 (*.f64 x y) (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1/2 binary64)) (pow.f64 y #s(literal 3 binary64)) y))) (pow.f64 (*.f64 (*.f64 x y) (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1/2 binary64)) (pow.f64 y #s(literal 3 binary64)) y)) #s(literal 2 binary64))) (*.f64 (fma.f64 x (-.f64 x (*.f64 (*.f64 x y) (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1/2 binary64)) (pow.f64 y #s(literal 3 binary64)) y))) (pow.f64 (*.f64 (*.f64 x y) (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1/2 binary64)) (pow.f64 y #s(literal 3 binary64)) y)) #s(literal 2 binary64))) (pow.f64 x #s(literal 3 binary64)))) (*.f64 (fma.f64 x (-.f64 x (*.f64 (*.f64 x y) (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1/2 binary64)) (pow.f64 y #s(literal 3 binary64)) y))) (pow.f64 (*.f64 (*.f64 x y) (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1/2 binary64)) (pow.f64 y #s(literal 3 binary64)) y)) #s(literal 2 binary64))) (fma.f64 x (-.f64 x (*.f64 (*.f64 x y) (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1/2 binary64)) (pow.f64 y #s(literal 3 binary64)) y))) (pow.f64 (*.f64 (*.f64 x y) (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1/2 binary64)) (pow.f64 y #s(literal 3 binary64)) y)) #s(literal 2 binary64)))))
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eval149.0ms (2%)

Memory
-10.9MiB live, 220.9MiB allocated; 48ms collecting garbage
Compiler

Compiled 20 949 to 2 289 computations (89.1% saved)

prune33.0ms (0.4%)

Memory
25.1MiB live, 81.6MiB allocated; 5ms collecting garbage
Pruning

21 alts after pruning (12 fresh and 9 done)

PrunedKeptTotal
New5369545
Fresh538
Picked055
Done145
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)))
79.3%
(*.f64 x #s(approx (exp (* y y)) (fma.f64 y y #s(literal 1 binary64))))
53.9%
(*.f64 x #s(approx (exp (* y y)) #s(literal 1 binary64)))
91.4%
#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)) (*.f64 y y)) x x))
87.3%
#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 (fma.f64 (*.f64 y y) #s(approx (+ (* 1/6 (* y y)) 1/2) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (*.f64 y y)) x x))
86.2%
#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 (fma.f64 (*.f64 y y) #s(approx (+ (* 1/6 (* y y)) 1/2) #s(literal 1/2 binary64)) #s(literal 1 binary64)) y) (*.f64 x y) x))
91.3%
#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 (fma.f64 #s(approx (+ (* 1/6 (* y y)) 1/2) (*.f64 (*.f64 y y) #s(literal 1/6 binary64))) (*.f64 y y) #s(literal 1 binary64)) (*.f64 y y)) x x))
89.8%
#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 (fma.f64 #s(approx (+ (* 1/6 (* y y)) 1/2) (*.f64 (*.f64 y y) #s(literal 1/6 binary64))) (*.f64 y y) #s(literal 1 binary64)) (*.f64 x y)) y x))
90.2%
#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 (fma.f64 #s(approx (+ (* 1/6 (* y y)) 1/2) (*.f64 (*.f64 y y) #s(literal 1/6 binary64))) (*.f64 y y) #s(literal 1 binary64)) y) (*.f64 x y) x))
85.1%
#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 (fma.f64 #s(approx (+ (* 1/6 (* y y)) 1/2) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)) x) (*.f64 y y) x))
85.1%
#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(approx (+ (* 1/6 (* y y)) 1/2) #s(literal 1/2 binary64)) #s(literal 1 binary64)) x) y) y x))
90.0%
#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 (*.f64 y y) x) (fma.f64 (*.f64 y y) #s(literal 1/2 binary64) (fma.f64 (*.f64 (*.f64 y y) (*.f64 y #s(literal 1/6 binary64))) y #s(literal 1 binary64))) x))
89.8%
#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 (*.f64 y y) x) (fma.f64 #s(approx (+ (* 1/6 (* y y)) 1/2) (*.f64 (*.f64 #s(literal 1/6 binary64) y) y)) (*.f64 y y) #s(literal 1 binary64)) x))
89.8%
#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 (*.f64 y y) x) (fma.f64 #s(approx (+ (* 1/6 (* y y)) 1/2) (*.f64 #s(literal 1/6 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1 binary64)) x))
85.1%
#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 (*.f64 x y) y) (fma.f64 #s(approx (+ (* 1/6 (* y y)) 1/2) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)) x))
90.3%
#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 x y) (fma.f64 (*.f64 (fma.f64 (*.f64 y #s(literal 1/6 binary64)) (*.f64 y y) (*.f64 #s(literal 1/2 binary64) y)) y) y y) x))
90.3%
#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 x y) (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1/2 binary64)) y) (*.f64 y y) y) x))
90.3%
#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 x y) (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 y #s(literal 1/6 binary64)) y #s(literal 1/2 binary64)) y) y) y y) x))
74.3%
#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 x y) y x))
90.0%
#s(approx (* x (exp (* y y))) (fma.f64 y (*.f64 y (*.f64 (fma.f64 (*.f64 (*.f64 y y) (*.f64 y #s(literal 1/6 binary64))) y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 y y)))) x)) x))
89.8%
#s(approx (* x (exp (* y y))) (fma.f64 y (*.f64 y (*.f64 (fma.f64 #s(approx (+ (* 1/6 (* y y)) 1/2) (*.f64 (*.f64 y y) #s(literal 1/6 binary64))) (*.f64 y y) #s(literal 1 binary64)) x)) x))
Compiler

Compiled 1 370 to 471 computations (65.6% saved)

regimes45.0ms (0.6%)

Memory
-2.4MiB live, 87.2MiB allocated; 9ms collecting garbage
Counts
33 → 1
Calls
Call 1
Inputs
(*.f64 x #s(approx (exp (* y y)) #s(literal 1 binary64)))
#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 x y) y x))
(*.f64 x #s(approx (exp (* y y)) (fma.f64 y y #s(literal 1 binary64))))
#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 (*.f64 x y) y) (fma.f64 #s(approx (+ (* 1/6 (* y y)) 1/2) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)) x))
#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 (*.f64 y y) x) (fma.f64 #s(approx (+ (* 1/6 (* y y)) 1/2) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)) x))
#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/2 binary64) #s(literal 1 binary64)) x) y) y x))
#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(approx (+ (* 1/6 (* y y)) 1/2) #s(literal 1/2 binary64)) #s(literal 1 binary64)) x) y) y x))
#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 (fma.f64 #s(approx (+ (* 1/6 (* y y)) 1/2) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)) x) (*.f64 y y) x))
#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 (fma.f64 #s(approx (+ (* 1/6 (* y y)) 1/2) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)) y) (*.f64 x y) x))
#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 (fma.f64 #s(approx (+ (* 1/6 (* y y)) 1/2) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)) (*.f64 y y)) x x))
#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 (fma.f64 (*.f64 y y) #s(approx (+ (* 1/6 (* y y)) 1/2) #s(literal 1/2 binary64)) #s(literal 1 binary64)) y) (*.f64 x y) x))
#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 (fma.f64 (*.f64 y y) #s(approx (+ (* 1/6 (* y y)) 1/2) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (*.f64 y y)) x x))
#s(approx (* x (exp (* y y))) (fma.f64 y (*.f64 y (*.f64 (fma.f64 #s(approx (+ (* 1/6 (* y y)) 1/2) (*.f64 (*.f64 y y) #s(literal 1/6 binary64))) (*.f64 y y) #s(literal 1 binary64)) x)) x))
#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 (*.f64 y y) x) (fma.f64 #s(approx (+ (* 1/6 (* y y)) 1/2) (*.f64 #s(literal 1/6 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1 binary64)) x))
#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 (*.f64 y y) x) (fma.f64 #s(approx (+ (* 1/6 (* y y)) 1/2) (*.f64 (*.f64 #s(literal 1/6 binary64) y) y)) (*.f64 y y) #s(literal 1 binary64)) x))
#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 (fma.f64 #s(approx (+ (* 1/6 (* y y)) 1/2) (*.f64 (*.f64 y y) #s(literal 1/6 binary64))) (*.f64 y y) #s(literal 1 binary64)) y) (*.f64 x y) x))
#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 (fma.f64 #s(approx (+ (* 1/6 (* y y)) 1/2) (*.f64 (*.f64 y y) #s(literal 1/6 binary64))) (*.f64 y y) #s(literal 1 binary64)) (*.f64 x y)) y x))
#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 (fma.f64 #s(approx (+ (* 1/6 (* y y)) 1/2) (*.f64 (*.f64 y y) #s(literal 1/6 binary64))) (*.f64 y y) #s(literal 1 binary64)) (*.f64 y y)) x x))
#s(approx (* x (exp (* y y))) (fma.f64 y (*.f64 y (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)) x)) x))
#s(approx (* x (exp (* y y))) (fma.f64 y (*.f64 (*.f64 x y) (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) x))
#s(approx (* x (exp (* y y))) (fma.f64 y (*.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)) (*.f64 x y)) x))
#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 x y) (fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1/2 binary64)) y) y) y y) x))
#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 x y) (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 y #s(literal 1/6 binary64)) y #s(literal 1/2 binary64)) y) y) y y) x))
#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 x y) (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1/2 binary64)) y) (*.f64 y y) y) x))
#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 x y) (fma.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) y) (*.f64 y y) y) x))
#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 y y) (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1/2 binary64)) (*.f64 x (*.f64 y y)) x) x))
#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 (*.f64 y y) x) (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)) x))
#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)) (*.f64 y y)) x x))
#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 x y) (fma.f64 (*.f64 (fma.f64 (*.f64 y #s(literal 1/6 binary64)) (*.f64 y y) (*.f64 #s(literal 1/2 binary64) y)) y) y y) x))
#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 (*.f64 y y) x) (fma.f64 (*.f64 y y) #s(literal 1/2 binary64) (fma.f64 (*.f64 y y) (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) #s(literal 1 binary64))) x))
#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 (*.f64 y y) x) (fma.f64 (*.f64 y y) #s(literal 1/2 binary64) (fma.f64 (*.f64 (*.f64 y y) (*.f64 y #s(literal 1/6 binary64))) y #s(literal 1 binary64))) x))
#s(approx (* x (exp (* y y))) (fma.f64 y (*.f64 y (*.f64 (fma.f64 (*.f64 (*.f64 y y) (*.f64 y #s(literal 1/6 binary64))) y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 y y)))) x)) x))
(*.f64 x (exp.f64 (*.f64 y y)))
Outputs
(*.f64 x (exp.f64 (*.f64 y y)))
Calls

5 calls:

11.0ms
y
11.0ms
(*.f64 x (exp.f64 (*.f64 y y)))
9.0ms
x
7.0ms
(*.f64 y y)
6.0ms
(exp.f64 (*.f64 y y))
Results
AccuracySegmentsBranch
100.0%1(*.f64 y y)
100.0%1(exp.f64 (*.f64 y y))
100.0%1(*.f64 x (exp.f64 (*.f64 y y)))
100.0%1x
100.0%1y
Compiler

Compiled 15 to 16 computations (-6.7% saved)

regimes100.0ms (1.4%)

Memory
-29.4MiB live, 65.8MiB allocated; 15ms collecting garbage
Counts
32 → 1
Calls
Call 1
Inputs
(*.f64 x #s(approx (exp (* y y)) #s(literal 1 binary64)))
#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 x y) y x))
(*.f64 x #s(approx (exp (* y y)) (fma.f64 y y #s(literal 1 binary64))))
#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 (*.f64 x y) y) (fma.f64 #s(approx (+ (* 1/6 (* y y)) 1/2) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)) x))
#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 (*.f64 y y) x) (fma.f64 #s(approx (+ (* 1/6 (* y y)) 1/2) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)) x))
#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/2 binary64) #s(literal 1 binary64)) x) y) y x))
#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(approx (+ (* 1/6 (* y y)) 1/2) #s(literal 1/2 binary64)) #s(literal 1 binary64)) x) y) y x))
#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 (fma.f64 #s(approx (+ (* 1/6 (* y y)) 1/2) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)) x) (*.f64 y y) x))
#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 (fma.f64 #s(approx (+ (* 1/6 (* y y)) 1/2) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)) y) (*.f64 x y) x))
#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 (fma.f64 #s(approx (+ (* 1/6 (* y y)) 1/2) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)) (*.f64 y y)) x x))
#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 (fma.f64 (*.f64 y y) #s(approx (+ (* 1/6 (* y y)) 1/2) #s(literal 1/2 binary64)) #s(literal 1 binary64)) y) (*.f64 x y) x))
#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 (fma.f64 (*.f64 y y) #s(approx (+ (* 1/6 (* y y)) 1/2) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (*.f64 y y)) x x))
#s(approx (* x (exp (* y y))) (fma.f64 y (*.f64 y (*.f64 (fma.f64 #s(approx (+ (* 1/6 (* y y)) 1/2) (*.f64 (*.f64 y y) #s(literal 1/6 binary64))) (*.f64 y y) #s(literal 1 binary64)) x)) x))
#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 (*.f64 y y) x) (fma.f64 #s(approx (+ (* 1/6 (* y y)) 1/2) (*.f64 #s(literal 1/6 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1 binary64)) x))
#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 (*.f64 y y) x) (fma.f64 #s(approx (+ (* 1/6 (* y y)) 1/2) (*.f64 (*.f64 #s(literal 1/6 binary64) y) y)) (*.f64 y y) #s(literal 1 binary64)) x))
#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 (fma.f64 #s(approx (+ (* 1/6 (* y y)) 1/2) (*.f64 (*.f64 y y) #s(literal 1/6 binary64))) (*.f64 y y) #s(literal 1 binary64)) y) (*.f64 x y) x))
#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 (fma.f64 #s(approx (+ (* 1/6 (* y y)) 1/2) (*.f64 (*.f64 y y) #s(literal 1/6 binary64))) (*.f64 y y) #s(literal 1 binary64)) (*.f64 x y)) y x))
#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 (fma.f64 #s(approx (+ (* 1/6 (* y y)) 1/2) (*.f64 (*.f64 y y) #s(literal 1/6 binary64))) (*.f64 y y) #s(literal 1 binary64)) (*.f64 y y)) x x))
#s(approx (* x (exp (* y y))) (fma.f64 y (*.f64 y (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)) x)) x))
#s(approx (* x (exp (* y y))) (fma.f64 y (*.f64 (*.f64 x y) (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) x))
#s(approx (* x (exp (* y y))) (fma.f64 y (*.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)) (*.f64 x y)) x))
#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 x y) (fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1/2 binary64)) y) y) y y) x))
#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 x y) (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 y #s(literal 1/6 binary64)) y #s(literal 1/2 binary64)) y) y) y y) x))
#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 x y) (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1/2 binary64)) y) (*.f64 y y) y) x))
#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 x y) (fma.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) y) (*.f64 y y) y) x))
#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 y y) (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1/2 binary64)) (*.f64 x (*.f64 y y)) x) x))
#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 (*.f64 y y) x) (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)) x))
#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)) (*.f64 y y)) x x))
#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 x y) (fma.f64 (*.f64 (fma.f64 (*.f64 y #s(literal 1/6 binary64)) (*.f64 y y) (*.f64 #s(literal 1/2 binary64) y)) y) y y) x))
#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 (*.f64 y y) x) (fma.f64 (*.f64 y y) #s(literal 1/2 binary64) (fma.f64 (*.f64 y y) (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) #s(literal 1 binary64))) x))
#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 (*.f64 y y) x) (fma.f64 (*.f64 y y) #s(literal 1/2 binary64) (fma.f64 (*.f64 (*.f64 y y) (*.f64 y #s(literal 1/6 binary64))) y #s(literal 1 binary64))) x))
#s(approx (* x (exp (* y y))) (fma.f64 y (*.f64 y (*.f64 (fma.f64 (*.f64 (*.f64 y y) (*.f64 y #s(literal 1/6 binary64))) y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 y y)))) x)) x))
Outputs
#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)) (*.f64 y y)) x x))
Calls

5 calls:

64.0ms
x
12.0ms
(*.f64 y y)
8.0ms
y
8.0ms
(*.f64 x (exp.f64 (*.f64 y y)))
6.0ms
(exp.f64 (*.f64 y y))
Results
AccuracySegmentsBranch
91.4%1(*.f64 y y)
91.4%1(exp.f64 (*.f64 y y))
91.4%1(*.f64 x (exp.f64 (*.f64 y y)))
91.4%1x
91.4%1y
Compiler

Compiled 15 to 16 computations (-6.7% saved)

regimes36.0ms (0.5%)

Memory
16.6MiB live, 61.8MiB allocated; 5ms collecting garbage
Counts
27 → 1
Calls
Call 1
Inputs
(*.f64 x #s(approx (exp (* y y)) #s(literal 1 binary64)))
#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 x y) y x))
(*.f64 x #s(approx (exp (* y y)) (fma.f64 y y #s(literal 1 binary64))))
#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 (*.f64 x y) y) (fma.f64 #s(approx (+ (* 1/6 (* y y)) 1/2) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)) x))
#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 (*.f64 y y) x) (fma.f64 #s(approx (+ (* 1/6 (* y y)) 1/2) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)) x))
#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/2 binary64) #s(literal 1 binary64)) x) y) y x))
#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(approx (+ (* 1/6 (* y y)) 1/2) #s(literal 1/2 binary64)) #s(literal 1 binary64)) x) y) y x))
#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 (fma.f64 #s(approx (+ (* 1/6 (* y y)) 1/2) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)) x) (*.f64 y y) x))
#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 (fma.f64 #s(approx (+ (* 1/6 (* y y)) 1/2) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)) y) (*.f64 x y) x))
#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 (fma.f64 #s(approx (+ (* 1/6 (* y y)) 1/2) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)) (*.f64 y y)) x x))
#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 (fma.f64 (*.f64 y y) #s(approx (+ (* 1/6 (* y y)) 1/2) #s(literal 1/2 binary64)) #s(literal 1 binary64)) y) (*.f64 x y) x))
#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 (fma.f64 (*.f64 y y) #s(approx (+ (* 1/6 (* y y)) 1/2) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (*.f64 y y)) x x))
#s(approx (* x (exp (* y y))) (fma.f64 y (*.f64 y (*.f64 (fma.f64 #s(approx (+ (* 1/6 (* y y)) 1/2) (*.f64 (*.f64 y y) #s(literal 1/6 binary64))) (*.f64 y y) #s(literal 1 binary64)) x)) x))
#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 (*.f64 y y) x) (fma.f64 #s(approx (+ (* 1/6 (* y y)) 1/2) (*.f64 #s(literal 1/6 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1 binary64)) x))
#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 (*.f64 y y) x) (fma.f64 #s(approx (+ (* 1/6 (* y y)) 1/2) (*.f64 (*.f64 #s(literal 1/6 binary64) y) y)) (*.f64 y y) #s(literal 1 binary64)) x))
#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 (fma.f64 #s(approx (+ (* 1/6 (* y y)) 1/2) (*.f64 (*.f64 y y) #s(literal 1/6 binary64))) (*.f64 y y) #s(literal 1 binary64)) y) (*.f64 x y) x))
#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 (fma.f64 #s(approx (+ (* 1/6 (* y y)) 1/2) (*.f64 (*.f64 y y) #s(literal 1/6 binary64))) (*.f64 y y) #s(literal 1 binary64)) (*.f64 x y)) y x))
#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 (fma.f64 #s(approx (+ (* 1/6 (* y y)) 1/2) (*.f64 (*.f64 y y) #s(literal 1/6 binary64))) (*.f64 y y) #s(literal 1 binary64)) (*.f64 y y)) x x))
#s(approx (* x (exp (* y y))) (fma.f64 y (*.f64 y (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)) x)) x))
#s(approx (* x (exp (* y y))) (fma.f64 y (*.f64 (*.f64 x y) (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) x))
#s(approx (* x (exp (* y y))) (fma.f64 y (*.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)) (*.f64 x y)) x))
#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 x y) (fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1/2 binary64)) y) y) y y) x))
#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 x y) (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 y #s(literal 1/6 binary64)) y #s(literal 1/2 binary64)) y) y) y y) x))
#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 x y) (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1/2 binary64)) y) (*.f64 y y) y) x))
#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 x y) (fma.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) y) (*.f64 y y) y) x))
#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 y y) (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1/2 binary64)) (*.f64 x (*.f64 y y)) x) x))
#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 (*.f64 y y) x) (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)) x))
Outputs
#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 (fma.f64 #s(approx (+ (* 1/6 (* y y)) 1/2) (*.f64 (*.f64 y y) #s(literal 1/6 binary64))) (*.f64 y y) #s(literal 1 binary64)) (*.f64 y y)) x x))
Calls

5 calls:

9.0ms
(*.f64 x (exp.f64 (*.f64 y y)))
7.0ms
x
7.0ms
y
6.0ms
(*.f64 y y)
5.0ms
(exp.f64 (*.f64 y y))
Results
AccuracySegmentsBranch
91.3%1(exp.f64 (*.f64 y y))
91.3%1(*.f64 x (exp.f64 (*.f64 y y)))
91.3%1(*.f64 y y)
91.3%1x
91.3%1y
Compiler

Compiled 15 to 16 computations (-6.7% saved)

regimes27.0ms (0.4%)

Memory
-3.0MiB live, 42.1MiB allocated; 7ms collecting garbage
Counts
17 → 1
Calls
Call 1
Inputs
(*.f64 x #s(approx (exp (* y y)) #s(literal 1 binary64)))
#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 x y) y x))
(*.f64 x #s(approx (exp (* y y)) (fma.f64 y y #s(literal 1 binary64))))
#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 (*.f64 x y) y) (fma.f64 #s(approx (+ (* 1/6 (* y y)) 1/2) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)) x))
#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 (*.f64 y y) x) (fma.f64 #s(approx (+ (* 1/6 (* y y)) 1/2) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)) x))
#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/2 binary64) #s(literal 1 binary64)) x) y) y x))
#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(approx (+ (* 1/6 (* y y)) 1/2) #s(literal 1/2 binary64)) #s(literal 1 binary64)) x) y) y x))
#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 (fma.f64 #s(approx (+ (* 1/6 (* y y)) 1/2) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)) x) (*.f64 y y) x))
#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 (fma.f64 #s(approx (+ (* 1/6 (* y y)) 1/2) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)) y) (*.f64 x y) x))
#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 (fma.f64 #s(approx (+ (* 1/6 (* y y)) 1/2) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)) (*.f64 y y)) x x))
#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 (fma.f64 (*.f64 y y) #s(approx (+ (* 1/6 (* y y)) 1/2) #s(literal 1/2 binary64)) #s(literal 1 binary64)) y) (*.f64 x y) x))
#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 (fma.f64 (*.f64 y y) #s(approx (+ (* 1/6 (* y y)) 1/2) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (*.f64 y y)) x x))
#s(approx (* x (exp (* y y))) (fma.f64 y (*.f64 y (*.f64 (fma.f64 #s(approx (+ (* 1/6 (* y y)) 1/2) (*.f64 (*.f64 y y) #s(literal 1/6 binary64))) (*.f64 y y) #s(literal 1 binary64)) x)) x))
#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 (*.f64 y y) x) (fma.f64 #s(approx (+ (* 1/6 (* y y)) 1/2) (*.f64 #s(literal 1/6 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1 binary64)) x))
#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 (*.f64 y y) x) (fma.f64 #s(approx (+ (* 1/6 (* y y)) 1/2) (*.f64 (*.f64 #s(literal 1/6 binary64) y) y)) (*.f64 y y) #s(literal 1 binary64)) x))
#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 (fma.f64 #s(approx (+ (* 1/6 (* y y)) 1/2) (*.f64 (*.f64 y y) #s(literal 1/6 binary64))) (*.f64 y y) #s(literal 1 binary64)) y) (*.f64 x y) x))
#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 (fma.f64 #s(approx (+ (* 1/6 (* y y)) 1/2) (*.f64 (*.f64 y y) #s(literal 1/6 binary64))) (*.f64 y y) #s(literal 1 binary64)) (*.f64 x y)) y x))
Outputs
#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 (fma.f64 #s(approx (+ (* 1/6 (* y y)) 1/2) (*.f64 (*.f64 y y) #s(literal 1/6 binary64))) (*.f64 y y) #s(literal 1 binary64)) y) (*.f64 x y) x))
Calls

5 calls:

9.0ms
y
5.0ms
x
4.0ms
(*.f64 x (exp.f64 (*.f64 y y)))
4.0ms
(*.f64 y y)
3.0ms
(exp.f64 (*.f64 y y))
Results
AccuracySegmentsBranch
90.2%1(*.f64 y y)
90.2%1y
90.2%1(exp.f64 (*.f64 y y))
90.2%1(*.f64 x (exp.f64 (*.f64 y y)))
90.2%1x
Compiler

Compiled 15 to 16 computations (-6.7% saved)

regimes21.0ms (0.3%)

Memory
31.4MiB live, 31.4MiB allocated; 0ms collecting garbage
Counts
15 → 1
Calls
Call 1
Inputs
(*.f64 x #s(approx (exp (* y y)) #s(literal 1 binary64)))
#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 x y) y x))
(*.f64 x #s(approx (exp (* y y)) (fma.f64 y y #s(literal 1 binary64))))
#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 (*.f64 x y) y) (fma.f64 #s(approx (+ (* 1/6 (* y y)) 1/2) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)) x))
#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 (*.f64 y y) x) (fma.f64 #s(approx (+ (* 1/6 (* y y)) 1/2) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)) x))
#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/2 binary64) #s(literal 1 binary64)) x) y) y x))
#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(approx (+ (* 1/6 (* y y)) 1/2) #s(literal 1/2 binary64)) #s(literal 1 binary64)) x) y) y x))
#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 (fma.f64 #s(approx (+ (* 1/6 (* y y)) 1/2) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)) x) (*.f64 y y) x))
#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 (fma.f64 #s(approx (+ (* 1/6 (* y y)) 1/2) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)) y) (*.f64 x y) x))
#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 (fma.f64 #s(approx (+ (* 1/6 (* y y)) 1/2) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)) (*.f64 y y)) x x))
#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 (fma.f64 (*.f64 y y) #s(approx (+ (* 1/6 (* y y)) 1/2) #s(literal 1/2 binary64)) #s(literal 1 binary64)) y) (*.f64 x y) x))
#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 (fma.f64 (*.f64 y y) #s(approx (+ (* 1/6 (* y y)) 1/2) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (*.f64 y y)) x x))
#s(approx (* x (exp (* y y))) (fma.f64 y (*.f64 y (*.f64 (fma.f64 #s(approx (+ (* 1/6 (* y y)) 1/2) (*.f64 (*.f64 y y) #s(literal 1/6 binary64))) (*.f64 y y) #s(literal 1 binary64)) x)) x))
#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 (*.f64 y y) x) (fma.f64 #s(approx (+ (* 1/6 (* y y)) 1/2) (*.f64 #s(literal 1/6 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1 binary64)) x))
#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 (*.f64 y y) x) (fma.f64 #s(approx (+ (* 1/6 (* y y)) 1/2) (*.f64 (*.f64 #s(literal 1/6 binary64) y) y)) (*.f64 y y) #s(literal 1 binary64)) x))
Outputs
#s(approx (* x (exp (* y y))) (fma.f64 y (*.f64 y (*.f64 (fma.f64 #s(approx (+ (* 1/6 (* y y)) 1/2) (*.f64 (*.f64 y y) #s(literal 1/6 binary64))) (*.f64 y y) #s(literal 1 binary64)) x)) x))
Calls

5 calls:

4.0ms
x
4.0ms
y
4.0ms
(*.f64 x (exp.f64 (*.f64 y y)))
4.0ms
(*.f64 y y)
3.0ms
(exp.f64 (*.f64 y y))
Results
AccuracySegmentsBranch
89.8%1(*.f64 y y)
89.8%1(exp.f64 (*.f64 y y))
89.8%1(*.f64 x (exp.f64 (*.f64 y y)))
89.8%1x
89.8%1y
Compiler

Compiled 15 to 16 computations (-6.7% saved)

regimes51.0ms (0.7%)

Memory
2.0MiB live, 47.4MiB allocated; 5ms collecting garbage
Counts
12 → 1
Calls
Call 1
Inputs
(*.f64 x #s(approx (exp (* y y)) #s(literal 1 binary64)))
#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 x y) y x))
(*.f64 x #s(approx (exp (* y y)) (fma.f64 y y #s(literal 1 binary64))))
#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 (*.f64 x y) y) (fma.f64 #s(approx (+ (* 1/6 (* y y)) 1/2) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)) x))
#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 (*.f64 y y) x) (fma.f64 #s(approx (+ (* 1/6 (* y y)) 1/2) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)) x))
#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/2 binary64) #s(literal 1 binary64)) x) y) y x))
#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(approx (+ (* 1/6 (* y y)) 1/2) #s(literal 1/2 binary64)) #s(literal 1 binary64)) x) y) y x))
#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 (fma.f64 #s(approx (+ (* 1/6 (* y y)) 1/2) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)) x) (*.f64 y y) x))
#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 (fma.f64 #s(approx (+ (* 1/6 (* y y)) 1/2) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)) y) (*.f64 x y) x))
#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 (fma.f64 #s(approx (+ (* 1/6 (* y y)) 1/2) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)) (*.f64 y y)) x x))
#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 (fma.f64 (*.f64 y y) #s(approx (+ (* 1/6 (* y y)) 1/2) #s(literal 1/2 binary64)) #s(literal 1 binary64)) y) (*.f64 x y) x))
#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 (fma.f64 (*.f64 y y) #s(approx (+ (* 1/6 (* y y)) 1/2) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (*.f64 y y)) x x))
Outputs
#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 (fma.f64 #s(approx (+ (* 1/6 (* y y)) 1/2) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)) (*.f64 y y)) x x))
Calls

5 calls:

37.0ms
x
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
87.3%1(*.f64 y y)
87.3%1(exp.f64 (*.f64 y y))
87.3%1(*.f64 x (exp.f64 (*.f64 y y)))
87.3%1y
87.3%1x
Compiler

Compiled 15 to 16 computations (-6.7% saved)

regimes39.0ms (0.5%)

Memory
-10.6MiB live, 42.0MiB allocated; 39ms collecting garbage
Counts
9 → 1
Calls
Call 1
Inputs
(*.f64 x #s(approx (exp (* y y)) #s(literal 1 binary64)))
#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 x y) y x))
(*.f64 x #s(approx (exp (* y y)) (fma.f64 y y #s(literal 1 binary64))))
#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 (*.f64 x y) y) (fma.f64 #s(approx (+ (* 1/6 (* y y)) 1/2) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)) x))
#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 (*.f64 y y) x) (fma.f64 #s(approx (+ (* 1/6 (* y y)) 1/2) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)) x))
#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/2 binary64) #s(literal 1 binary64)) x) y) y x))
#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(approx (+ (* 1/6 (* y y)) 1/2) #s(literal 1/2 binary64)) #s(literal 1 binary64)) x) y) y x))
#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 (fma.f64 #s(approx (+ (* 1/6 (* y y)) 1/2) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)) x) (*.f64 y y) x))
#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 (fma.f64 #s(approx (+ (* 1/6 (* y y)) 1/2) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)) y) (*.f64 x y) x))
Outputs
#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 (fma.f64 #s(approx (+ (* 1/6 (* y y)) 1/2) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)) y) (*.f64 x y) x))
Calls

5 calls:

28.0ms
y
3.0ms
x
3.0ms
(*.f64 x (exp.f64 (*.f64 y y)))
3.0ms
(*.f64 y y)
2.0ms
(exp.f64 (*.f64 y y))
Results
AccuracySegmentsBranch
86.2%1(*.f64 y y)
86.2%1(exp.f64 (*.f64 y y))
86.2%1(*.f64 x (exp.f64 (*.f64 y y)))
86.2%1x
86.2%1y
Compiler

Compiled 15 to 16 computations (-6.7% saved)

regimes17.0ms (0.2%)

Memory
-5.5MiB live, 42.3MiB allocated; 6ms collecting garbage
Counts
8 → 1
Calls
Call 1
Inputs
(*.f64 x #s(approx (exp (* y y)) #s(literal 1 binary64)))
#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 x y) y x))
(*.f64 x #s(approx (exp (* y y)) (fma.f64 y y #s(literal 1 binary64))))
#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 (*.f64 x y) y) (fma.f64 #s(approx (+ (* 1/6 (* y y)) 1/2) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)) x))
#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 (*.f64 y y) x) (fma.f64 #s(approx (+ (* 1/6 (* y y)) 1/2) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)) x))
#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/2 binary64) #s(literal 1 binary64)) x) y) y x))
#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(approx (+ (* 1/6 (* y y)) 1/2) #s(literal 1/2 binary64)) #s(literal 1 binary64)) x) y) y x))
#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 (fma.f64 #s(approx (+ (* 1/6 (* y y)) 1/2) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)) x) (*.f64 y y) x))
Outputs
#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 (*.f64 x y) y) (fma.f64 #s(approx (+ (* 1/6 (* y y)) 1/2) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)) x))
Calls

5 calls:

5.0ms
(exp.f64 (*.f64 y y))
3.0ms
y
3.0ms
x
3.0ms
(*.f64 x (exp.f64 (*.f64 y y)))
2.0ms
(*.f64 y y)
Results
AccuracySegmentsBranch
85.1%1(*.f64 y y)
85.1%1x
85.1%1y
85.1%1(exp.f64 (*.f64 y y))
85.1%1(*.f64 x (exp.f64 (*.f64 y y)))
Compiler

Compiled 15 to 16 computations (-6.7% saved)

regimes10.0ms (0.1%)

Memory
-23.2MiB live, 22.0MiB allocated; 2ms collecting garbage
Counts
3 → 1
Calls
Call 1
Inputs
(*.f64 x #s(approx (exp (* y y)) #s(literal 1 binary64)))
#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 x y) y x))
(*.f64 x #s(approx (exp (* y y)) (fma.f64 y y #s(literal 1 binary64))))
Outputs
(*.f64 x #s(approx (exp (* y y)) (fma.f64 y y #s(literal 1 binary64))))
Calls

5 calls:

3.0ms
(*.f64 x (exp.f64 (*.f64 y y)))
2.0ms
y
2.0ms
x
1.0ms
(*.f64 y y)
1.0ms
(exp.f64 (*.f64 y y))
Results
AccuracySegmentsBranch
79.3%1(exp.f64 (*.f64 y y))
79.3%1(*.f64 x (exp.f64 (*.f64 y y)))
79.3%1x
79.3%1(*.f64 y y)
79.3%1y
Compiler

Compiled 15 to 16 computations (-6.7% saved)

regimes7.0ms (0.1%)

Memory
19.8MiB live, 19.8MiB allocated; 0ms collecting garbage
Counts
2 → 1
Calls
Call 1
Inputs
(*.f64 x #s(approx (exp (* y y)) #s(literal 1 binary64)))
#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 x y) y x))
Outputs
#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 x y) y x))
Calls

5 calls:

1.0ms
x
1.0ms
y
1.0ms
(*.f64 x (exp.f64 (*.f64 y y)))
1.0ms
(exp.f64 (*.f64 y y))
1.0ms
(*.f64 y y)
Results
AccuracySegmentsBranch
74.3%1x
74.3%1(*.f64 y y)
74.3%1(exp.f64 (*.f64 y y))
74.3%1(*.f64 x (exp.f64 (*.f64 y y)))
74.3%1y
Compiler

Compiled 15 to 16 computations (-6.7% saved)

regimes5.0ms (0.1%)

Memory
22.5MiB live, 22.5MiB allocated; 0ms collecting garbage
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
x
1.0ms
y
1.0ms
(*.f64 x (exp.f64 (*.f64 y y)))
1.0ms
(*.f64 y y)
1.0ms
(exp.f64 (*.f64 y y))
Results
AccuracySegmentsBranch
53.9%1x
53.9%1y
53.9%1(*.f64 y y)
53.9%1(exp.f64 (*.f64 y y))
53.9%1(*.f64 x (exp.f64 (*.f64 y y)))
Compiler

Compiled 15 to 16 computations (-6.7% saved)

simplify49.0ms (0.7%)

Memory
-5.2MiB live, 92.7MiB allocated; 8ms collecting garbage
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
050243
166243
2119243
3272243
4603243
52846243
Stop Event
node limit
Calls
Call 1
Inputs
(*.f64 x (exp.f64 (*.f64 y y)))
#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)) (*.f64 y y)) x x))
#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 (fma.f64 #s(approx (+ (* 1/6 (* y y)) 1/2) (*.f64 (*.f64 y y) #s(literal 1/6 binary64))) (*.f64 y y) #s(literal 1 binary64)) (*.f64 y y)) x x))
#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 (fma.f64 #s(approx (+ (* 1/6 (* y y)) 1/2) (*.f64 (*.f64 y y) #s(literal 1/6 binary64))) (*.f64 y y) #s(literal 1 binary64)) y) (*.f64 x y) x))
#s(approx (* x (exp (* y y))) (fma.f64 y (*.f64 y (*.f64 (fma.f64 #s(approx (+ (* 1/6 (* y y)) 1/2) (*.f64 (*.f64 y y) #s(literal 1/6 binary64))) (*.f64 y y) #s(literal 1 binary64)) x)) x))
#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 (fma.f64 #s(approx (+ (* 1/6 (* y y)) 1/2) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)) (*.f64 y y)) x x))
#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 (fma.f64 #s(approx (+ (* 1/6 (* y y)) 1/2) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)) y) (*.f64 x y) x))
#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 (*.f64 x y) y) (fma.f64 #s(approx (+ (* 1/6 (* y y)) 1/2) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)) x))
(*.f64 x #s(approx (exp (* y y)) (fma.f64 y y #s(literal 1 binary64))))
#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 x y) y x))
(*.f64 x #s(approx (exp (* y y)) #s(literal 1 binary64)))
Outputs
(*.f64 x (exp.f64 (*.f64 y y)))
#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)) (*.f64 y y)) x x))
#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 (fma.f64 #s(approx (+ (* 1/6 (* y y)) 1/2) (*.f64 (*.f64 y y) #s(literal 1/6 binary64))) (*.f64 y y) #s(literal 1 binary64)) (*.f64 y y)) x x))
#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 (fma.f64 #s(approx (+ (* 1/6 (* y y)) 1/2) (*.f64 (*.f64 y y) #s(literal 1/6 binary64))) (*.f64 y y) #s(literal 1 binary64)) y) (*.f64 x y) x))
#s(approx (* x (exp (* y y))) (fma.f64 y (*.f64 y (*.f64 (fma.f64 #s(approx (+ (* 1/6 (* y y)) 1/2) (*.f64 (*.f64 y y) #s(literal 1/6 binary64))) (*.f64 y y) #s(literal 1 binary64)) x)) x))
#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 (fma.f64 #s(approx (+ (* 1/6 (* y y)) 1/2) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)) (*.f64 y y)) x x))
#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 (fma.f64 #s(approx (+ (* 1/6 (* y y)) 1/2) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)) y) (*.f64 x y) x))
#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 (*.f64 x y) y) (fma.f64 #s(approx (+ (* 1/6 (* y y)) 1/2) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)) x))
(*.f64 x #s(approx (exp (* y y)) (fma.f64 y y #s(literal 1 binary64))))
#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 x y) y x))
(*.f64 x #s(approx (exp (* y y)) #s(literal 1 binary64)))

derivations1.2s (16.3%)

Memory
-23.9MiB live, 1 168.1MiB allocated; 252ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
019106
030106
1118106
2910106
08711106
03397
112797
249291
3219389
4480489
0810077
0134721
1510691
21941669
36104669
08064617
038344
071328
1308320
22376320
08155314
036355
067347
1284335
22491333
08925321
071288
1247288
2918271
34074269
08388241
Stop Event
fuel
iter limit
node limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
Compiler

Compiled 243 to 52 computations (78.6% saved)

preprocess156.0ms (2.1%)

Memory
-5.2MiB live, 230.8MiB allocated; 56ms collecting garbage
Remove

(negabs x)

(abs y)

Compiler

Compiled 558 to 164 computations (70.6% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated; 0ms collecting garbage

Profiling

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