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

Time bar (total: 4.8s)

start0.0ms (0%)

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

analyze0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated; 0ms collecting garbage
Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
100%99.9%0%0.1%0%0%0%1
Compiler

Compiled 8 to 7 computations (12.5% saved)

sample1.1s (22%)

Memory
-2.4MiB live, 1 137.9MiB allocated; 283ms collecting garbage
Samples
727.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 406.0ms
ival-exp: 199.0ms (49% of total)
ival-mult: 196.0ms (48.3% of total)
ival-true: 5.0ms (1.2% of total)
adjust: 3.0ms (0.7% of total)
ival-assert: 3.0ms (0.7% of total)
Bogosity

explain107.0ms (2.2%)

Memory
15.7MiB live, 85.7MiB allocated; 15ms 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
75.0ms512×0valid
Compiler

Compiled 40 to 19 computations (52.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 63.0ms
ival-mult: 58.0ms (91.9% of total)
ival-exp: 4.0ms (6.3% of total)
ival-true: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess184.0ms (3.8%)

Memory
6.0MiB live, 237.9MiB allocated; 44ms collecting garbage
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01532
15832
217132
340932
4126532
056
086
1186
2526
31516
44296
526566
089186
Stop Event
1×iter limit
1×node limit
1×iter limit
1×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
0.1MiB live, 0.1MiB allocated; 0ms collecting garbage
Compiler

Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory
0.8MiB live, 0.8MiB 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)

simplify137.0ms (2.9%)

Memory
-22.4MiB live, 168.9MiB allocated; 25ms collecting garbage
Algorithm
1×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
442915
5265615
0891815
Stop Event
1×iter limit
1×node limit
1×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

localize16.0ms (0.3%)

Memory
18.5MiB live, 18.4MiB allocated; 0ms 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
11.0ms256×0valid
Compiler

Compiled 17 to 7 computations (58.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 5.0ms
ival-mult: 3.0ms (55.1% of total)
ival-exp: 2.0ms (36.7% 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
3.0MiB live, 3.0MiB 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))

simplify196.0ms (4.1%)

Memory
10.6MiB live, 95.8MiB allocated; 24ms collecting garbage
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03397
112797
250191
3227589
4595189
0809277
Stop Event
1×iter limit
1×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 y x) y (fma.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) x) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1/2 binary64)) 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 4 binary64)) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #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)

rewrite139.0ms (2.9%)

Memory
-43.6MiB live, 61.7MiB allocated; 18ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0513
0813
12013
28313
054913
Stop Event
1×iter limit
1×iter limit
1×node limit
1×iter limit
Counts
3 → 64
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) (pow.f64 (exp.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) (-.f64 #s(literal 1 binary64) (*.f64 (sinh.f64 (*.f64 y y)) (cosh.f64 (*.f64 y y)))))
(/.f64 (*.f64 x #s(literal 1 binary64)) (pow.f64 (exp.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)))) (-.f64 #s(literal 1 binary64) (*.f64 (sinh.f64 (*.f64 y y)) (cosh.f64 (*.f64 y y)))))
(/.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 (pow.f64 (exp.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 x) (sinh.f64 (*.f64 y y))))
(-.f64 (*.f64 (cosh.f64 (*.f64 y y)) x) (*.f64 (sinh.f64 (*.f64 y y)) x))
(+.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 (-.f64 (pow.f64 (cosh.f64 (*.f64 y y)) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (*.f64 y y)) #s(literal 3 binary64))) (+.f64 (pow.f64 (cosh.f64 (*.f64 y y)) #s(literal 2 binary64)) (+.f64 (pow.f64 (sinh.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 (pow.f64 (exp.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 (-.f64 #s(literal 1 binary64) (*.f64 (sinh.f64 (*.f64 y y)) (cosh.f64 (*.f64 y y))))))
(/.f64 (-.f64 (*.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 (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 (-.f64 (*.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) (pow.f64 (exp.f64 (neg.f64 y)) y))
(/.f64 #s(literal 1 binary64) (pow.f64 (exp.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))) (-.f64 #s(literal 1 binary64) (*.f64 (sinh.f64 (*.f64 y y)) (cosh.f64 (*.f64 y y)))))
(-.f64 (/.f64 (pow.f64 (cosh.f64 (*.f64 y y)) #s(literal 2 binary64)) (pow.f64 (exp.f64 y) y)) (/.f64 (pow.f64 (sinh.f64 (*.f64 y y)) #s(literal 2 binary64)) (pow.f64 (exp.f64 y) y)))
(-.f64 (cosh.f64 (*.f64 y y)) (sinh.f64 (*.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)) (-.f64 #s(literal 1 binary64) (*.f64 (sinh.f64 (*.f64 y y)) (cosh.f64 (*.f64 y y))))) (/.f64 (pow.f64 (sinh.f64 (*.f64 y y)) #s(literal 3 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (sinh.f64 (*.f64 y y)) (cosh.f64 (*.f64 y y))))))
(+.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 (neg.f64 y) y)
(*.f64 y (neg.f64 y))
(*.f64 y y)
(pow.f64 (exp.f64 (log.f64 y)) #s(literal 2 binary64))
(pow.f64 (*.f64 y y) #s(literal 1 binary64))
(pow.f64 (neg.f64 y) #s(literal 2 binary64))
(pow.f64 y #s(literal 2 binary64))
(neg.f64 (*.f64 y y))
(sqrt.f64 (*.f64 (*.f64 y y) (*.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 (0.2%)

Memory
19.4MiB live, 19.4MiB allocated; 0ms collecting garbage
Compiler

Compiled 1 107 to 238 computations (78.5% saved)

prune2.0ms (0%)

Memory
9.2MiB live, 9.2MiB allocated; 0ms collecting garbage
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New72274
Fresh000
Picked011
Done000
Total72375
Accuracy
100.0%
Counts
75 → 3
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓100.0%
(*.f64 x (exp.f64 (*.f64 y y)))
▶80.3%
(*.f64 x #s(approx (exp (* y y)) (fma.f64 y y #s(literal 1 binary64))))
▶52.5%
(*.f64 x #s(approx (exp (* y y)) #s(literal 1 binary64)))
Compiler

Compiled 25 to 20 computations (20% saved)

simplify293.0ms (6.1%)

Memory
-21.3MiB live, 266.6MiB allocated; 27ms collecting garbage
Algorithm
1×egg-herbie
Localize:

Found 5 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)))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01043
01343
12743
26443
316343
442043
5318343
0830243
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
(*.f64 x #s(approx (exp (* y y)) #s(literal 1 binary64)))
x
#s(approx (exp (* y y)) #s(literal 1 binary64))
#s(literal 1 binary64)
(*.f64 x #s(approx (exp (* y y)) (fma.f64 y y #s(literal 1 binary64))))
x
#s(approx (exp (* y y)) (fma.f64 y y #s(literal 1 binary64)))
(fma.f64 y y #s(literal 1 binary64))
y
#s(literal 1 binary64)
Outputs
(*.f64 x #s(approx (exp (* y y)) #s(literal 1 binary64)))
(*.f64 #s(approx (exp (* y y)) #s(literal 1 binary64)) x)
x
#s(approx (exp (* y y)) #s(literal 1 binary64))
#s(literal 1 binary64)
(*.f64 x #s(approx (exp (* y y)) (fma.f64 y y #s(literal 1 binary64))))
(*.f64 #s(approx (exp (* y y)) (fma.f64 y y #s(literal 1 binary64))) x)
x
#s(approx (exp (* y y)) (fma.f64 y y #s(literal 1 binary64)))
(fma.f64 y y #s(literal 1 binary64))
y
#s(literal 1 binary64)

localize36.0ms (0.8%)

Memory
-17.4MiB live, 38.4MiB allocated; 6ms collecting garbage
Localize:

Found 5 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))))
accuracy16.03070851434563
#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)))
accuracy30.684923979567408
#s(approx (exp (* y y)) #s(literal 1 binary64))
Samples
14.0ms256×0valid
Compiler

Compiled 32 to 9 computations (71.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 7.0ms
ival-mult: 3.0ms (43.3% of total)
ival-exp: 2.0ms (28.8% of total)
ival-add: 1.0ms (14.4% 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)

series3.0ms (0.1%)

Memory
6.1MiB live, 6.1MiB allocated; 0ms collecting garbage
Counts
5 → 12
Calls
Call 1
Inputs
(*.f64 x #s(approx (exp (* y y)) #s(literal 1 binary64)))
#s(approx (exp (* y y)) #s(literal 1 binary64))
(*.f64 x #s(approx (exp (* y y)) (fma.f64 y y #s(literal 1 binary64))))
#s(approx (exp (* y y)) (fma.f64 y y #s(literal 1 binary64)))
(fma.f64 y y #s(literal 1 binary64))
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)))))))
(exp (pow y 2))
(pow y 2)
(* (pow y 2) (+ 1 (/ 1 (pow y 2))))
Calls

6 calls:

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

simplify241.0ms (5%)

Memory
14.0MiB live, 247.5MiB allocated; 47ms collecting garbage
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
036102
1136102
253196
3276094
0847081
Stop Event
1×iter limit
1×node limit
Counts
12 → 11
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)))))))
(exp (pow y 2))
(pow y 2)
(* (pow y 2) (+ 1 (/ 1 (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 y x) y (fma.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) x) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1/2 binary64)) 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 4 binary64)) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1/2 binary64)) (fma.f64 y y #s(literal 1 binary64)))
(exp (pow y 2))
(pow.f64 (exp.f64 y) y)
(pow y 2)
(*.f64 y y)
(* (pow y 2) (+ 1 (/ 1 (pow y 2))))
(fma.f64 y y #s(literal 1 binary64))

rewrite47.0ms (1%)

Memory
28.8MiB live, 119.0MiB allocated; 7ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01038
01338
14338
027538
Stop Event
1×iter limit
1×iter limit
1×iter limit
1×unsound
1×iter limit
Counts
5 → 36
Calls
Call 1
Inputs
(*.f64 x #s(approx (exp (* y y)) #s(literal 1 binary64)))
#s(approx (exp (* y y)) #s(literal 1 binary64))
(*.f64 x #s(approx (exp (* y y)) (fma.f64 y y #s(literal 1 binary64))))
#s(approx (exp (* y y)) (fma.f64 y y #s(literal 1 binary64)))
(fma.f64 y y #s(literal 1 binary64))
Outputs
(*.f64 #s(approx (exp (* y y)) #s(literal 1 binary64)) x)
(*.f64 x #s(approx (exp (* y y)) #s(literal 1 binary64)))
#s(approx (exp (* y y)) #s(literal 1 binary64))
(*.f64 #s(approx (exp (* y y)) (fma.f64 y y #s(literal 1 binary64))) x)
(*.f64 x #s(approx (exp (* y y)) (fma.f64 y y #s(literal 1 binary64))))
#s(approx (exp (* y y)) (fma.f64 y y #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 y y)))
(/.f64 (neg.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64))) (neg.f64 (fma.f64 y y #s(literal -1 binary64))))
(/.f64 (neg.f64 (-.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal -1 binary64))) (neg.f64 (-.f64 (+.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 y y))))
(/.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) (fma.f64 y y #s(literal -1 binary64)))
(/.f64 (-.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 y y))))
(/.f64 (-.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal -1 binary64)) (-.f64 (+.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 y y)))
(fma.f64 (*.f64 (neg.f64 y) #s(literal 1 binary64)) (*.f64 (neg.f64 y) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (*.f64 (fabs.f64 y) #s(literal 1 binary64)) (*.f64 (fabs.f64 y) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (*.f64 y #s(literal 1 binary64)) (*.f64 y #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (pow.f64 y #s(literal 1 binary64)) (pow.f64 y #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (neg.f64 (neg.f64 y)) (neg.f64 (neg.f64 y)) #s(literal 1 binary64))
(fma.f64 (neg.f64 (fabs.f64 y)) (neg.f64 (fabs.f64 y)) #s(literal 1 binary64))
(fma.f64 (fabs.f64 (fabs.f64 y)) (fabs.f64 (fabs.f64 y)) #s(literal 1 binary64))
(fma.f64 (neg.f64 y) (*.f64 (neg.f64 y) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (neg.f64 y) (neg.f64 y) #s(literal 1 binary64))
(fma.f64 (fabs.f64 y) (*.f64 (fabs.f64 y) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (fabs.f64 y) (fabs.f64 y) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 y y) #s(literal 1 binary64))
(fma.f64 (*.f64 y y) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 y (*.f64 y #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 y y #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 y y #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal -1 binary64))))
(-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (neg.f64 y)) (neg.f64 y)))
(-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (fabs.f64 y)) (fabs.f64 y)))
(-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 y) y))
(-.f64 #s(literal 1 binary64) (*.f64 y (neg.f64 y)))
(-.f64 (*.f64 y y) #s(literal -1 binary64))
(+.f64 (/.f64 (pow.f64 y #s(literal 6 binary64)) (-.f64 (+.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 y y))) (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 y y))))
(+.f64 #s(literal 1 binary64) (*.f64 y y))
(+.f64 (*.f64 y y) #s(literal 1 binary64))

eval45.0ms (0.9%)

Memory
-18.1MiB live, 34.8MiB allocated; 7ms collecting garbage
Compiler

Compiled 690 to 168 computations (75.7% saved)

prune2.0ms (0%)

Memory
5.3MiB live, 5.3MiB allocated; 0ms collecting garbage
Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New44145
Fresh000
Picked022
Done011
Total44448
Accuracy
100.0%
Counts
48 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓100.0%
(*.f64 x (exp.f64 (*.f64 y y)))
✓80.3%
(*.f64 x #s(approx (exp (* y y)) (fma.f64 y y #s(literal 1 binary64))))
▶31.8%
(*.f64 x #s(approx (exp (* y y)) #s(approx (+ (* y y) 1) (*.f64 y y))))
✓52.5%
(*.f64 x #s(approx (exp (* y y)) #s(literal 1 binary64)))
Compiler

Compiled 41 to 30 computations (26.8% saved)

simplify262.0ms (5.5%)

Memory
8.3MiB live, 241.9MiB allocated; 44ms collecting garbage
Algorithm
1×egg-herbie
Localize:

Found 4 expressions of interest:

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

Useful iterations: 0 (0.0ms)

IterNodesCost
01044
01244
12544
26244
316144
441844
5319144
0830441
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
(*.f64 x #s(approx (exp (* y y)) #s(approx (+ (* y y) 1) (*.f64 y y))))
x
#s(approx (exp (* y y)) #s(approx (+ (* y y) 1) (*.f64 y y)))
#s(approx (+ (* y y) 1) (*.f64 y y))
(*.f64 y y)
y
Outputs
(*.f64 x #s(approx (exp (* y y)) #s(approx (+ (* y y) 1) (*.f64 y y))))
(*.f64 #s(approx (exp (* y y)) #s(approx (+ (* y y) 1) (*.f64 y y))) x)
x
#s(approx (exp (* y y)) #s(approx (+ (* y y) 1) (*.f64 y y)))
#s(approx (+ (* y y) 1) (*.f64 y y))
(*.f64 y y)
y

localize28.0ms (0.6%)

Memory
0.2MiB live, 47.0MiB allocated; 2ms collecting garbage
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(*.f64 y y)
accuracy0.0
(*.f64 x #s(approx (exp (* y y)) #s(approx (+ (* y y) 1) (*.f64 y y))))
accuracy16.03070851434563
#s(approx (exp (* y y)) #s(approx (+ (* y y) 1) (*.f64 y y)))
accuracy31.685101403218763
#s(approx (+ (* y y) 1) (*.f64 y y))
Samples
23.0ms256×0valid
Compiler

Compiled 22 to 9 computations (59.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 7.0ms
ival-mult: 3.0ms (42.4% of total)
ival-exp: 2.0ms (28.3% of total)
ival-add: 1.0ms (14.1% 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)

series3.0ms (0.1%)

Memory
7.3MiB live, 7.3MiB allocated; 0ms collecting garbage
Counts
4 → 12
Calls
Call 1
Inputs
(*.f64 x #s(approx (exp (* y y)) #s(approx (+ (* y y) 1) (*.f64 y y))))
#s(approx (exp (* y y)) #s(approx (+ (* y y) 1) (*.f64 y y)))
#s(approx (+ (* y y) 1) (*.f64 y y))
(*.f64 y y)
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))
(* (pow y 2) (+ 1 (/ 1 (pow y 2))))
Calls

6 calls:

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

simplify136.0ms (2.8%)

Memory
-24.7MiB live, 304.7MiB allocated; 27ms collecting garbage
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
036102
1136102
253196
3275894
0844581
Stop Event
1×iter limit
1×node limit
Counts
12 → 11
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))
(* (pow y 2) (+ 1 (/ 1 (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 4 binary64)) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #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)
(* (pow y 2) (+ 1 (/ 1 (pow y 2))))
(fma.f64 y y #s(literal 1 binary64))

rewrite50.0ms (1%)

Memory
23.9MiB live, 109.7MiB allocated; 11ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01042
01242
14142
027339
Stop Event
1×iter limit
1×iter limit
1×iter limit
1×unsound
1×iter limit
Counts
4 → 26
Calls
Call 1
Inputs
(*.f64 x #s(approx (exp (* y y)) #s(approx (+ (* y y) 1) (*.f64 y y))))
#s(approx (exp (* y y)) #s(approx (+ (* y y) 1) (*.f64 y y)))
#s(approx (+ (* y y) 1) (*.f64 y y))
(*.f64 y y)
Outputs
(*.f64 #s(approx (exp (* y y)) #s(approx (+ (* y y) 1) (*.f64 y y))) x)
(*.f64 x #s(approx (exp (* y y)) #s(approx (+ (* y y) 1) (*.f64 y y))))
#s(approx (exp (* y y)) #s(approx (+ (* y y) 1) (*.f64 y y)))
#s(approx (+ (* y y) 1) (*.f64 y y))
(*.f64 (*.f64 (neg.f64 y) #s(literal 1 binary64)) (*.f64 (neg.f64 y) #s(literal 1 binary64)))
(*.f64 (*.f64 (fabs.f64 y) #s(literal 1 binary64)) (*.f64 (fabs.f64 y) #s(literal 1 binary64)))
(*.f64 (*.f64 y #s(literal 1 binary64)) (*.f64 y #s(literal 1 binary64)))
(*.f64 (pow.f64 y #s(literal 1 binary64)) (pow.f64 y #s(literal 1 binary64)))
(*.f64 (neg.f64 (neg.f64 y)) (neg.f64 (neg.f64 y)))
(*.f64 (neg.f64 (fabs.f64 y)) (neg.f64 (fabs.f64 y)))
(*.f64 (fabs.f64 (fabs.f64 y)) (fabs.f64 (fabs.f64 y)))
(*.f64 (neg.f64 y) (*.f64 (neg.f64 y) #s(literal 1 binary64)))
(*.f64 (neg.f64 y) (neg.f64 y))
(*.f64 (fabs.f64 y) (*.f64 (fabs.f64 y) #s(literal 1 binary64)))
(*.f64 (fabs.f64 y) (fabs.f64 y))
(*.f64 #s(literal 1 binary64) (*.f64 y y))
(*.f64 (*.f64 y y) #s(literal 1 binary64))
(*.f64 y (*.f64 y #s(literal 1 binary64)))
(*.f64 y y)
(pow.f64 (neg.f64 y) #s(literal 2 binary64))
(pow.f64 (fabs.f64 y) #s(literal 2 binary64))
(pow.f64 y #s(literal 2 binary64))
(neg.f64 (*.f64 (neg.f64 y) y))
(neg.f64 (*.f64 y (neg.f64 y)))
(fabs.f64 (*.f64 y y))
(exp.f64 (*.f64 (log.f64 y) #s(literal 2 binary64)))

eval4.0ms (0.1%)

Memory
15.1MiB live, 15.1MiB allocated; 0ms collecting garbage
Compiler

Compiled 648 to 148 computations (77.2% saved)

prune3.0ms (0.1%)

Memory
10.2MiB live, 10.2MiB allocated; 0ms collecting garbage
Pruning

5 alts after pruning (1 fresh and 4 done)

PrunedKeptTotal
New36137
Fresh000
Picked011
Done033
Total36541
Accuracy
100.0%
Counts
41 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓100.0%
(*.f64 x (exp.f64 (*.f64 y y)))
✓80.3%
(*.f64 x #s(approx (exp (* y y)) (fma.f64 y y #s(literal 1 binary64))))
✓31.8%
(*.f64 x #s(approx (exp (* y y)) #s(approx (+ (* y y) 1) (*.f64 y y))))
✓52.5%
(*.f64 x #s(approx (exp (* y y)) #s(literal 1 binary64)))
▶89.8%
#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 66 to 44 computations (33.3% saved)

simplify326.0ms (6.8%)

Memory
-41.6MiB live, 290.5MiB allocated; 204ms collecting garbage
Algorithm
1×egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
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
01473
02273
15573
223973
3154073
4774773
0800769
Stop Event
1×iter limit
1×node limit
1×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)
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)

localize37.0ms (0.8%)

Memory
29.3MiB live, 76.4MiB allocated; 3ms collecting garbage
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0.08984375
(fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1/2 binary64))
accuracy0.51315508041112
(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)
accuracy6.810918807143414
(*.f64 (*.f64 y y) x)
accuracy6.9758057695096545
#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))
Samples
28.0ms256×0valid
Compiler

Compiled 62 to 17 computations (72.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 20.0ms
ival-mult: 10.0ms (51.2% of total)
const: 4.0ms (20.5% of total)
ival-add: 3.0ms (15.4% of total)
ival-exp: 2.0ms (10.2% 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)

series25.0ms (0.5%)

Memory
-34.9MiB live, 20.0MiB allocated; 20ms collecting garbage
Counts
5 → 17
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)
(fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1/2 binary64))
Outputs
(* x (+ 1 (* (pow y 2) (+ 1 (* (pow y 2) (+ 1/2 (* 1/6 (pow y 2))))))))
(* x (exp (pow y 2)))
(* x (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)
1/2
(+ 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))))))
(* 1/6 (pow y 2))
(* (pow y 2) (+ 1/6 (* 1/2 (/ 1 (pow y 2)))))
Calls

6 calls:

TimeVariablePointExpression
16.0ms
y
@-inf
((+ (* (* (* y y) x) (+ (* (+ (* 1/6 (* y y)) 1/2) (* y y)) 1)) x) (* x (exp (* y y))) (* (* y y) x) (* y y) (+ (* 1/6 (* y y)) 1/2))
2.0ms
x
@0
((+ (* (* (* y y) x) (+ (* (+ (* 1/6 (* y y)) 1/2) (* y y)) 1)) x) (* x (exp (* y y))) (* (* y y) x) (* y y) (+ (* 1/6 (* y y)) 1/2))
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) (+ (* 1/6 (* y y)) 1/2))
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) (+ (* 1/6 (* y y)) 1/2))
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) (+ (* 1/6 (* y y)) 1/2))

simplify163.0ms (3.4%)

Memory
22.0MiB live, 251.2MiB allocated; 44ms collecting garbage
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
058190
1200190
2809178
33875176
08090160
Stop Event
1×iter limit
1×node limit
Counts
17 → 16
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)
1/2
(+ 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))))))
(* 1/6 (pow y 2))
(* (pow y 2) (+ 1/6 (* 1/2 (/ 1 (pow y 2)))))
Outputs
(* x (+ 1 (* (pow y 2) (+ 1 (* (pow y 2) (+ 1/2 (* 1/6 (pow y 2))))))))
(*.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1/2 binary64)) (fma.f64 y y #s(literal 1 binary64))) x)
(* x (exp (pow y 2)))
(*.f64 (pow.f64 (exp.f64 y) y) x)
(* x (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 (fma.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1/2 binary64)) (fma.f64 y y #s(literal 1 binary64))) x)
x
(+ x (* x (pow y 2)))
(fma.f64 (*.f64 y y) x x)
(+ x (* (pow y 2) (+ x (* 1/2 (* x (pow y 2))))))
(*.f64 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 4 binary64)) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1/2 binary64)) (fma.f64 y y #s(literal 1 binary64))) x)
(pow y 2)
(*.f64 y y)
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))
(* 1/6 (* 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 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))

rewrite53.0ms (1.1%)

Memory
23.4MiB live, 68.6MiB allocated; 5ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01457
02257
19757
080157
Stop Event
1×iter limit
1×iter limit
1×node limit
1×iter limit
Counts
5 → 92
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)
(fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1/2 binary64))
Outputs
(/.f64 (-.f64 (*.f64 x x) (pow.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)) #s(literal 2 binary64))) (-.f64 x (*.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))))
(/.f64 (neg.f64 (-.f64 (pow.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)) #s(literal 2 binary64)) (*.f64 x x))) (neg.f64 (-.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 (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.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)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 x (-.f64 x (*.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))) (pow.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)) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.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)) #s(literal 2 binary64)) (*.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 (pow.f64 x #s(literal 3 binary64)) (pow.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)) #s(literal 3 binary64))) (fma.f64 x x (-.f64 (pow.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)) #s(literal 2 binary64)) (*.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 (*.f64 x (*.f64 y y)) x)))))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.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)) #s(literal 3 binary64))) (fma.f64 x (-.f64 x (*.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))) (pow.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)) #s(literal 2 binary64))))
(fma.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1/2 binary64)) y) y) y) (*.f64 x y) (fma.f64 (*.f64 x y) y x))
(fma.f64 (*.f64 (*.f64 x (*.f64 y y)) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1/2 binary64)) y)) y (fma.f64 (*.f64 x y) y x))
(fma.f64 (*.f64 (*.f64 x (*.f64 y y)) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1/2 binary64))) (*.f64 y y) (fma.f64 (*.f64 x y) y x))
(fma.f64 (*.f64 (*.f64 x (*.f64 y y)) (*.f64 y y)) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1/2 binary64)) (fma.f64 (*.f64 x y) y 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 (*.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)
(fma.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1/2 binary64)) y) y) (*.f64 y y)) x (fma.f64 (*.f64 x y) y x))
(fma.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1/2 binary64)) y) y) x) (*.f64 y y) (fma.f64 (*.f64 x y) y 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)) x) (*.f64 y y) x)
(fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1/2 binary64)) y) (*.f64 y (*.f64 x (*.f64 y y))) (fma.f64 (*.f64 x y) y x))
(fma.f64 (neg.f64 y) (*.f64 (neg.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 (fabs.f64 y) (*.f64 (fabs.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 (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1/2 binary64)) y) y) (*.f64 x (*.f64 y y)) (fma.f64 (*.f64 x y) y x))
(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 x (*.f64 y y)) x)
(fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1/2 binary64)) (*.f64 (*.f64 y y) (*.f64 x (*.f64 y y))) (fma.f64 (*.f64 x y) y x))
(fma.f64 (*.f64 x (*.f64 y y)) (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1/2 binary64)) y) y) (fma.f64 (*.f64 x y) y x))
(fma.f64 (*.f64 x (*.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)) x)
(fma.f64 x (*.f64 (*.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))) x)
(fma.f64 x (*.f64 (*.f64 y y) (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1/2 binary64)) y) y)) (fma.f64 (*.f64 x y) y x))
(fma.f64 (*.f64 y y) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1/2 binary64)) (*.f64 x (*.f64 y y))) (fma.f64 (*.f64 x y) y x))
(fma.f64 (*.f64 y y) (*.f64 x (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1/2 binary64)) y) y)) (fma.f64 (*.f64 x y) y x))
(fma.f64 (*.f64 y 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 (*.f64 x y) (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1/2 binary64)) y) y)) (fma.f64 (*.f64 x y) y x))
(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)
(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 (/.f64 (pow.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)) #s(literal 2 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 x (*.f64 (neg.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 x (*.f64 y y))))
(-.f64 x (*.f64 (neg.f64 (*.f64 x (*.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))))
(-.f64 x (*.f64 (neg.f64 (*.f64 y 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 (+.f64 x (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1/2 binary64)) y) (*.f64 y (*.f64 x (*.f64 y y))))) (*.f64 x (*.f64 y y)))
(+.f64 (/.f64 (pow.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)) #s(literal 3 binary64)) (fma.f64 x (-.f64 x (*.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))) (pow.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)) #s(literal 2 binary64)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x (*.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))) (pow.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)) #s(literal 2 binary64)))))
(+.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1/2 binary64)) y) (*.f64 y (*.f64 x (*.f64 y y)))) (fma.f64 (*.f64 x y) y 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 x (*.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)))
#s(approx (* x (exp (* y y))) (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 x (*.f64 y y)) x))
(*.f64 (*.f64 x (neg.f64 y)) (neg.f64 y))
(*.f64 (*.f64 x (fabs.f64 y)) (fabs.f64 y))
(*.f64 (*.f64 #s(literal 1 binary64) (*.f64 y y)) x)
(*.f64 (*.f64 #s(literal 1 binary64) y) (*.f64 x y))
(*.f64 (*.f64 #s(literal 1 binary64) x) (*.f64 y y))
(*.f64 (*.f64 x y) y)
(*.f64 (neg.f64 y) (*.f64 (neg.f64 y) x))
(*.f64 (fabs.f64 y) (*.f64 (fabs.f64 y) x))
(*.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y y)))
(*.f64 (*.f64 x (*.f64 y y)) #s(literal 1 binary64))
(*.f64 x (*.f64 (*.f64 y y) #s(literal 1 binary64)))
(*.f64 x (*.f64 y y))
(*.f64 (*.f64 y y) (*.f64 x #s(literal 1 binary64)))
(*.f64 (*.f64 y y) x)
(*.f64 y (*.f64 (*.f64 x y) #s(literal 1 binary64)))
(*.f64 y (*.f64 x y))
(*.f64 (pow.f64 y #s(literal 1 binary64)) (pow.f64 y #s(literal 1 binary64)))
(*.f64 (neg.f64 (neg.f64 y)) (neg.f64 (neg.f64 y)))
(*.f64 (neg.f64 (fabs.f64 y)) (neg.f64 (fabs.f64 y)))
(*.f64 (fabs.f64 (fabs.f64 y)) (fabs.f64 (fabs.f64 y)))
(*.f64 (neg.f64 y) (neg.f64 y))
(*.f64 (fabs.f64 y) (fabs.f64 y))
(*.f64 y y)
(pow.f64 (neg.f64 y) #s(literal 2 binary64))
(pow.f64 (fabs.f64 y) #s(literal 2 binary64))
(pow.f64 y #s(literal 2 binary64))
(neg.f64 (*.f64 (neg.f64 y) y))
(neg.f64 (*.f64 y (neg.f64 y)))
(fabs.f64 (*.f64 y y))
(exp.f64 (*.f64 (log.f64 y) #s(literal 2 binary64)))
(/.f64 (-.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) #s(literal 2 binary64))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 y y))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) #s(literal 2 binary64)) #s(literal 1/4 binary64))) (neg.f64 (-.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) #s(literal 1/2 binary64))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/216 binary64) (pow.f64 (*.f64 y y) #s(literal 3 binary64)) #s(literal 1/8 binary64))) (neg.f64 (-.f64 (+.f64 (pow.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (*.f64 (*.f64 y y) #s(literal 1/12 binary64)))))
(/.f64 (-.f64 (pow.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (-.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) #s(literal 1/2 binary64)))
(/.f64 (fma.f64 #s(literal 1/216 binary64) (pow.f64 (*.f64 y y) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (+.f64 #s(literal 1/4 binary64) (-.f64 (pow.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) #s(literal 2 binary64)) (*.f64 (*.f64 y y) #s(literal 1/12 binary64)))))
(/.f64 (fma.f64 #s(literal 1/216 binary64) (pow.f64 (*.f64 y y) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (-.f64 (+.f64 (pow.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (*.f64 (*.f64 y y) #s(literal 1/12 binary64))))
(fma.f64 (*.f64 #s(literal 1/6 binary64) (neg.f64 y)) (neg.f64 y) #s(literal 1/2 binary64))
(fma.f64 (*.f64 #s(literal 1/6 binary64) (fabs.f64 y)) (fabs.f64 y) #s(literal 1/2 binary64))
(fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1/2 binary64))
(fma.f64 (neg.f64 y) (*.f64 (neg.f64 y) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))
(fma.f64 (fabs.f64 y) (*.f64 (fabs.f64 y) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))
(fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1/2 binary64))
(fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64))
(fma.f64 y (*.f64 #s(literal 1/6 binary64) y) #s(literal 1/2 binary64))
(-.f64 (/.f64 (pow.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) #s(literal 1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) #s(literal 1/2 binary64))))
(-.f64 #s(literal 1/2 binary64) (*.f64 (neg.f64 (*.f64 #s(literal 1/6 binary64) y)) y))
(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 y y)))
(-.f64 #s(literal 1/2 binary64) (*.f64 (neg.f64 (*.f64 y y)) #s(literal 1/6 binary64)))
(+.f64 (/.f64 (pow.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) #s(literal 3 binary64)) (-.f64 (+.f64 (pow.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (*.f64 (*.f64 y y) #s(literal 1/12 binary64)))) (/.f64 #s(literal 1/8 binary64) (-.f64 (+.f64 (pow.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (*.f64 (*.f64 y y) #s(literal 1/12 binary64)))))
(+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) #s(literal 1/2 binary64))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 y y)))

eval22.0ms (0.5%)

Memory
-3.6MiB live, 41.5MiB allocated; 5ms collecting garbage
Compiler

Compiled 4 223 to 550 computations (87% saved)

prune15.0ms (0.3%)

Memory
-27.8MiB live, 25.2MiB allocated; 9ms collecting garbage
Pruning

12 alts after pruning (7 fresh and 5 done)

PrunedKeptTotal
New1287135
Fresh000
Picked011
Done044
Total12812140
Accuracy
100.0%
Counts
140 → 12
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓100.0%
(*.f64 x (exp.f64 (*.f64 y y)))
✓80.3%
(*.f64 x #s(approx (exp (* y y)) (fma.f64 y y #s(literal 1 binary64))))
✓31.8%
(*.f64 x #s(approx (exp (* y y)) #s(approx (+ (* y y) 1) (*.f64 y y))))
✓52.5%
(*.f64 x #s(approx (exp (* y y)) #s(literal 1 binary64)))
91.3%
#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))
89.1%
#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1/2 binary64)) y) (*.f64 y (*.f64 x (*.f64 y y))) (fma.f64 (*.f64 x y) y x)))
89.8%
#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1/2 binary64)) y) y) x) (*.f64 y y) (fma.f64 (*.f64 x y) y x)))
✓89.8%
#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))
89.6%
#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))
87.1%
#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))
89.8%
#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))
89.8%
#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 518 to 215 computations (58.5% saved)

regimes17.0ms (0.4%)

Memory
34.9MiB live, 34.9MiB allocated; 0ms collecting garbage
Counts
12 → 1
Calls
Call 1
Inputs
(*.f64 x #s(approx (exp (* y y)) #s(literal 1 binary64)))
(*.f64 x #s(approx (exp (* y y)) #s(approx (+ (* y y) 1) (*.f64 y y))))
(*.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 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) (*.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 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 (*.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 (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1/2 binary64)) y) y) x) (*.f64 y y) (fma.f64 (*.f64 x y) y x)))
#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1/2 binary64)) y) (*.f64 y (*.f64 x (*.f64 y y))) (fma.f64 (*.f64 x y) y x)))
(*.f64 x (exp.f64 (*.f64 y y)))
Outputs
(*.f64 x (exp.f64 (*.f64 y y)))
Calls

5 calls:

4.0ms
x
4.0ms
y
3.0ms
(*.f64 x (exp.f64 (*.f64 y y)))
3.0ms
(*.f64 y y)
2.0ms
(exp.f64 (*.f64 y y))
Results
AccuracySegmentsBranch
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)

regimes21.0ms (0.4%)

Memory
-13.0MiB live, 32.0MiB allocated; 8ms collecting garbage
Counts
11 → 1
Calls
Call 1
Inputs
(*.f64 x #s(approx (exp (* y y)) #s(literal 1 binary64)))
(*.f64 x #s(approx (exp (* y y)) #s(approx (+ (* y y) 1) (*.f64 y y))))
(*.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 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) (*.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 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 (*.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 (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1/2 binary64)) y) y) x) (*.f64 y y) (fma.f64 (*.f64 x y) y x)))
#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1/2 binary64)) y) (*.f64 y (*.f64 x (*.f64 y y))) (fma.f64 (*.f64 x y) y 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:

8.0ms
x
3.0ms
y
3.0ms
(*.f64 x (exp.f64 (*.f64 y y)))
3.0ms
(*.f64 y y)
2.0ms
(exp.f64 (*.f64 y y))
Results
AccuracySegmentsBranch
91.3%1(*.f64 y y)
91.3%1(exp.f64 (*.f64 y y))
91.3%1(*.f64 x (exp.f64 (*.f64 y y)))
91.3%1x
91.3%1y
Compiler

Compiled 15 to 16 computations (-6.7% saved)

regimes13.0ms (0.3%)

Memory
22.2MiB live, 22.2MiB allocated; 0ms collecting garbage
Counts
8 → 1
Calls
Call 1
Inputs
(*.f64 x #s(approx (exp (* y y)) #s(literal 1 binary64)))
(*.f64 x #s(approx (exp (* y y)) #s(approx (+ (* y y) 1) (*.f64 y y))))
(*.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 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) (*.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 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 (*.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 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))
Calls

5 calls:

3.0ms
y
3.0ms
x
3.0ms
(*.f64 x (exp.f64 (*.f64 y y)))
2.0ms
(*.f64 y y)
2.0ms
(exp.f64 (*.f64 y y))
Results
AccuracySegmentsBranch
89.8%1(exp.f64 (*.f64 y y))
89.8%1(*.f64 x (exp.f64 (*.f64 y y)))
89.8%1x
89.8%1(*.f64 y y)
89.8%1y
Compiler

Compiled 15 to 16 computations (-6.7% saved)

regimes70.0ms (1.5%)

Memory
-25.0MiB live, 20.2MiB allocated; 7ms collecting garbage
Counts
5 → 1
Calls
Call 1
Inputs
(*.f64 x #s(approx (exp (* y y)) #s(literal 1 binary64)))
(*.f64 x #s(approx (exp (* y y)) #s(approx (+ (* y y) 1) (*.f64 y y))))
(*.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 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) (*.f64 #s(literal 1/6 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1 binary64)) x))
Outputs
#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))
Calls

5 calls:

62.0ms
x
2.0ms
y
2.0ms
(*.f64 x (exp.f64 (*.f64 y y)))
2.0ms
(*.f64 y y)
1.0ms
(exp.f64 (*.f64 y y))
Results
AccuracySegmentsBranch
89.6%1(*.f64 y y)
89.6%1(exp.f64 (*.f64 y y))
89.6%1(*.f64 x (exp.f64 (*.f64 y y)))
89.6%1y
89.6%1x
Compiler

Compiled 15 to 16 computations (-6.7% saved)

regimes9.0ms (0.2%)

Memory
16.3MiB live, 16.3MiB allocated; 0ms collecting garbage
Counts
4 → 1
Calls
Call 1
Inputs
(*.f64 x #s(approx (exp (* y y)) #s(literal 1 binary64)))
(*.f64 x #s(approx (exp (* y y)) #s(approx (+ (* y y) 1) (*.f64 y y))))
(*.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 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))
Outputs
#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))
Calls

5 calls:

2.0ms
x
2.0ms
y
2.0ms
(*.f64 x (exp.f64 (*.f64 y y)))
2.0ms
(*.f64 y y)
1.0ms
(exp.f64 (*.f64 y y))
Results
AccuracySegmentsBranch
87.1%1(*.f64 y y)
87.1%1(exp.f64 (*.f64 y y))
87.1%1(*.f64 x (exp.f64 (*.f64 y y)))
87.1%1y
87.1%1x
Compiler

Compiled 15 to 16 computations (-6.7% saved)

regimes62.0ms (1.3%)

Memory
-30.6MiB live, 14.8MiB allocated; 5ms collecting garbage
Counts
3 → 1
Calls
Call 1
Inputs
(*.f64 x #s(approx (exp (* y y)) #s(literal 1 binary64)))
(*.f64 x #s(approx (exp (* y y)) #s(approx (+ (* y y) 1) (*.f64 y y))))
(*.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:

55.0ms
(exp.f64 (*.f64 y y))
2.0ms
x
1.0ms
y
1.0ms
(*.f64 x (exp.f64 (*.f64 y y)))
1.0ms
(*.f64 y y)
Results
AccuracySegmentsBranch
80.3%1(exp.f64 (*.f64 y y))
80.3%1(*.f64 x (exp.f64 (*.f64 y y)))
80.3%1(*.f64 y y)
80.3%1x
80.3%1y
Compiler

Compiled 15 to 16 computations (-6.7% saved)

regimes6.0ms (0.1%)

Memory
13.6MiB live, 13.6MiB allocated; 0ms collecting garbage
Counts
2 → 2
Calls
Call 1
Inputs
(*.f64 x #s(approx (exp (* y y)) #s(literal 1 binary64)))
(*.f64 x #s(approx (exp (* y y)) #s(approx (+ (* y y) 1) (*.f64 y y))))
Outputs
(*.f64 x #s(approx (exp (* y y)) #s(literal 1 binary64)))
(*.f64 x #s(approx (exp (* y y)) #s(approx (+ (* y y) 1) (*.f64 y y))))
Calls

5 calls:

1.0ms
y
1.0ms
x
1.0ms
(*.f64 x (exp.f64 (*.f64 y y)))
1.0ms
(*.f64 y y)
1.0ms
(exp.f64 (*.f64 y y))
Results
AccuracySegmentsBranch
52.5%1x
79.9%2(exp.f64 (*.f64 y y))
79.9%2(*.f64 x (exp.f64 (*.f64 y y)))
79.9%2(*.f64 y y)
79.9%2y
Compiler

Compiled 15 to 16 computations (-6.7% saved)

regimes4.0ms (0.1%)

Memory
9.1MiB live, 9.1MiB 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

4 calls:

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
52.5%1(exp.f64 (*.f64 y y))
52.5%1(*.f64 x (exp.f64 (*.f64 y y)))
52.5%1(*.f64 y y)
52.5%1y
Compiler

Compiled 14 to 14 computations (0% saved)

bsearch13.0ms (0.3%)

Memory
16.4MiB live, 16.4MiB allocated; 0ms collecting garbage
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
12.0ms
0.0672391358542806
6983.981251520031
Samples
7.0ms144×0valid
Compiler

Compiled 225 to 181 computations (19.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 4.0ms
ival-mult: 2.0ms (55.8% of total)
ival-exp: 1.0ms (27.9% of total)
ival-true: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

simplify105.0ms (2.2%)

Memory
-22.3MiB live, 79.0MiB allocated; 54ms collecting garbage
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
043163
160163
2122163
3298163
4692163
53700163
Stop Event
1×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 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 (*.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) #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))))
(if (<=.f64 y #s(literal 1 binary64)) (*.f64 x #s(approx (exp (* y y)) #s(literal 1 binary64))) (*.f64 x #s(approx (exp (* y y)) #s(approx (+ (* y y) 1) (*.f64 y y)))))
(*.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 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 (*.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) #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))))
(if (<=.f64 y #s(literal 1 binary64)) (*.f64 x #s(approx (exp (* y y)) #s(literal 1 binary64))) (*.f64 x #s(approx (exp (* y y)) #s(approx (+ (* y y) 1) (*.f64 y y)))))
(*.f64 x #s(approx (exp (* y y)) #s(literal 1 binary64)))

derivations725.0ms (15.1%)

Memory
-1.4MiB live, 659.9MiB allocated; 79ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
036102
1136102
253196
3276094
0847081
058190
1200190
2809178
33875176
08090160
01457
02257
19757
080157
03397
112797
250191
3227589
4595189
0809277
036102
1136102
253196
3275894
0844581
Stop Event
1×fuel
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×node limit
1×iter limit
1×node limit
Compiler

Compiled 163 to 46 computations (71.8% saved)

preprocess106.0ms (2.2%)

Memory
30.2MiB live, 132.5MiB allocated; 25ms collecting garbage
Remove

(negabs x)

(abs y)

Compiler

Compiled 398 to 152 computations (61.8% saved)

end0.0ms (0%)

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

Profiling

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